TopCoder Statistics - Problem Statement

Problem Statement

We have a huge chessboard that has exactly 10^9 rows and exactly 10^9 columns. Both rows and columns are numbered from 1 to 10^9. The cell (x, y) is white if x+y is even and black if x+y is odd.

You have n pawns, numbered 0 through n-1. Your task is to place each of the pawns onto some cell of the board. The placement must satisfy all the constraints specified below. Note that we use (x[i], y[i]) to denote the coordinates chosen for pawn i.

For each pawn you are given a rectangle that has to contain the pawn. More precisely, the coordinates of pawn i must satisfy xMin[i] <= x[i] <= xMax[i] and yMin[i] <= y[i] <= yMax[i].
For each pawn you are given the color of its cell: if color[i] is 'B', you must place pawn i onto a black cell, and if color[i] is 'W', pawn i must be placed onto a white cell.
You are given m distance constraints: for each valid j, the Manhattan distance between the cells containing pawns a[j] and b[j] must be d[j] or less.

Remember that the Manhattan distance between cells (x1, y1) and (x2, y2) is |x1-x2| + |y1-y2|. Note that it is allowed to place multiple pawns onto the same cell.

If there is no valid solution, return an empty int[]. Otherwise, return a int[] with 2n elements: {x[0], y[0], x[1], y[1], ..., x[n-1], y[n-1]}. If there are multiple valid solutions, you may return any one of them.

Definition

Class:: ChessboardPuzzle
Method:: solve
Parameters:: int[], int[], int[], int[], String, int[], int[], int[]
Returns:: int[]
Method signature:: int[] solve(int[] xMin, int[] xMax, int[] yMin, int[] yMax, String color, int[] a, int[] b, int[] d)
(be sure your method is public)

Constraints

n will be between 1 and 100, inclusive.
m will be between 0 and 500, inclusive.
xMin, xMax, yMin, yMax will contain exactly n elements.
color will contain exactly n characters.
Each element in xMin, xMax, yMin, yMax will be between 1 and 1,000,000,000, inclusive.
For each i, 0 <= xMax[i] - xMin[i] <= 1,000.
For each i, 0 <= yMax[i] - yMin[i] <= 1,000.
Each character in color will be 'B' or 'W'.
a, b and d will contain exactly m elements.
Each element in a will be between 0 and n-1, inclusive.
Each element in b will be between 0 and n-1, inclusive.
Each element in d will be between 0 and 2,000,000,000, inclusive.

Examples

{100}

{100}

{1000}

{1002}

"B"

{}

{}

{}

Returns: {100, 1001 }

Pawn 0 must be placed within the rectangle that contains the cells (100, 1000), (100, 1001), and (100, 1002). Pawn 0 must be placed onto a black cell. Only one of those three cells is black.
{1,1}

{1000,1000}

{1,1}

{1000,1000}

"BW"

{0}

{1}

{0}

Returns: { }

The only distance constraint specifies that pawns 0 and 1 must be in the same cell (as their Manhattan distance must be 0 or less). However, that is impossible because pawn 0 must be placed onto a black cell while pawn 1 must be placed onto a white cell.
{1,90}

{10,99}

{1,90}

{10,99}

"WW"

{0}

{1}

{160}

Returns: {10, 10, 90, 90 }

This is the only valid solution for this test case. For any other placement of pawns 0 and 1 within their rectangles the distance between the two pawns would be greater than 160.
{1,99}

{10,99}

{1,90}

{10,99}

"BB"

{0}

{1}

{160}

Returns: { }

This time there is no solution.
{2,4,8}

{2,6,8}

{1,1,1}

{9,9,9}

"WBW"

{1,1}

{0,2}

{3,3}

Returns: {2, 4, 5, 4, 8, 4 }

There are other solutions like {2, 8, 5, 8, 8, 8}.
{119270675,661036141,317802047,403448932,516377554,917798582,738592034,95318547,358245697,220768564}

{119271675,661037141,317803047,403449932,516378554,917799582,738593034,95319547,358246697,220769564}

{60896622,105824826,454680381,383505417,621850974,716617755,938547748,707367052,422848281,549512986}

{60897622,105825826,454681381,383506417,621851974,716618755,938548748,707368052,422849281,549513986}

"BBWBWBWBWW"

{7,7,6,7,1,0,9,1,2,1,4,8,4,2,1,6,4,4,8,2}

{5,4,3,0,5,8,0,2,2,7,5,4,6,5,2,0,6,1,9,8}

{831730738,506575093,890185433,670422563,867555377,600926681,590114259,692089649,2,1167259822,496187812,357134557,538911257,861933913,692089654,1496972489,538911260,660684742,264141842,72275753}

Returns: {119271671, 60897618, 661036148, 105825819, 317802549, 454680879, 403449932, 383506417, 516378052, 621851474, 917798582, 716617755, 738592038, 938547752, 95319047, 707367552, 358246199, 422848783, 220769064, 549513486 }
{1,1000000000}

{1,1000000000}

{1,1000000000}

{1,1000000000}

"WW"

{0,0,1,0,1}

{0,0,0,1,1}

{0,0,2000000000,2000000000,1000000000}

Returns: {1, 1, 1000000000, 1000000000 }
{427926484,112864228,866814818,937345780,646722115,720125410,85997974,527532842,592064667,926918045,72970074,521236924,567108971,154274612,125085661,885432142,999378997,178729958,285157608,267038753,602260125,781786119,660454110,229461768,944937064,518360158,860011256,559571,825379186,237531749,591283654,552538565,114280960,69803822,770800209,589336272,620369274,597933441,289890916,186200804,49852117,809790994,441238706,408957402,592171116,865452286,709340911,96067733,773396429,821044263,954110355,62578912,610500317,184470434,678796332,727144792,541267984,818589173,343060821,574853581,176759642,922338142,172930061,907670247,567669703,794732382,227498840,202691506,638491889,737524560,142828953,710058085,978675701,261482003,238313874,776110457,531732801,926129137,483713520,426061447,69364278,501706304,907895632,36810129,993007530,619001402,108907622,121720747,585561671,499410851,830804467,356440992,677865607,693132075,703882277,585684970,905727775,517811147,255665189,809544781}

{427927099,112864871,866815334,937346263,646722809,720125602,85998574,527533189,592065156,926918376,72970501,521237299,567109777,154275109,125085812,885432479,999379643,178730438,285158395,267039001,602260372,781786706,660454692,229462454,944937560,518360865,860011503,559879,825379661,237532290,591283742,552539193,114281501,69804210,770800886,589336944,620369416,597933994,289891198,186200865,49852631,809791407,441239017,408957964,592171309,865453028,709341004,96067980,773397187,821045014,954110886,62579549,610500892,184470578,678796835,727144975,541268281,818589417,343061312,574853788,176760360,922338896,172930542,907670583,567669979,794732707,227499345,202691666,638492257,737525203,142829506,710058655,978675901,261482666,238314472,776110802,531733092,926129464,483714008,426062091,69364908,501706577,907895897,36810508,993007902,619002352,108908230,121721587,585562131,499411585,830804886,356441407,677866481,693132620,703882927,585685597,905728012,517812037,255665660,809544808}

{547521613,882878280,654570203,231311943,179072945,653322087,706327439,774274990,616219850,125694424,155946176,516319597,676909141,600936367,889905949,502723783,213775544,503427562,43464098,225017534,830126313,533082888,722199877,663466444,470325439,136030526,10244247,644605288,817428679,262148542,147442503,645719862,418574738,169292004,584362855,365293205,51647135,935206220,695983495,315901954,917121778,816948500,266356914,154143548,225308210,473212784,235822272,701481478,306406260,763807746,950169097,197526781,96795503,756733977,396850197,632377871,439625047,900813291,278564318,972907737,666978453,618879347,476158608,474900266,700122929,974720408,381732095,632549914,152780132,981909057,693121370,311722217,37343408,432947098,94673658,894969775,689657359,224623889,404248702,839914443,203440311,635062606,38237349,356247791,864539550,133019485,723019027,788981336,122268621,395002191,682786112,756510731,982464429,373383863,99581317,245650281,135166663,546983156,675273068,898080728}

{547522105,882878719,654571101,231312460,179073253,653322507,706328363,774275739,616220050,125694670,155946582,516320333,676909552,600936714,889906220,502724469,213776127,503428084,43464922,225018024,830126560,533083198,722200404,663467294,470326359,136031298,10244749,644605726,817429164,262148898,147442593,645720240,418574875,169292513,584363474,365293666,51647868,935206596,695984184,315902500,917121957,816949098,266357628,154143707,225308670,473213328,235822396,701481922,306407071,763808433,950169715,197527505,96796117,756734282,396850803,632378411,439625472,900813354,278564639,972908050,666978914,618880106,476159237,474900755,700123116,974720730,381732770,632550453,152780994,981909308,693122127,311723003,37343725,432947819,94674261,894970111,689658005,224624243,404248862,839914547,203441060,635063258,38237924,356248356,864540033,133020280,723019474,788981630,122269327,395002440,682786868,756511111,982464689,373384617,99581995,245651055,135167397,546983991,675273753,898081401}

"BWBWWBBWWBWWBBWWBBWBBBBWWWBWBBBWBBWWWWBWBWWWWWBWBBWWBWBWBWBBBWWBBBBWBWBWBBBWWWBBWWBWBWBBBBWWBBBBBWBW"

{89,9,52,97,73,5,40,82,1,0,11,9,92,84,78,53,29,60,74,56,2,14,83,97,27,73,43,69,1,99,48,60,10,45,36,3,68,15,94,80,37,0,50,58,88,16,25,11,23,54,76,0,4,51,8,42,43,91,6,14,6,38,68,78,51,91,97,1,47,44,53,24,71,78,2,15,89,30,7,18,59,55,1,71,10,2,79,21,39,16,78,4,59,27,49,1,3,78,52,62,75,37,32,55,35,57,74,90,45,74,85,59,83,78,89,73,63,9,39,74,88,47,79,12,62,16,67,84,41,52,20,93,73,19,28,2,15,18,52,39,8,82,53,14,29,49,51,85,55,49,48,23,28,20,51,26,81,35,61,64,37,54,60,18,87,45,62,17,2,20,41,12,82,92,77,82,25,72,9,8,27,42,23,31,74,67,15,5,80,44,40,45,2,18,36,4,83,59,4,33,39,2,43,37,53,51,8,98,21,12,81,42,48,34,21,88,38,71,91,38,25,91,52,69,36,82,39,31,75,7,5,74,46,6,50,39,45,44,25,29,65,94,59,61,91,9,18,34,47,52,27,47,65,27,77,91,90,52,4,69,39,73,37,86,14,22,61,61,34,22,86,76,81,78,0,72,86,76,0,80,3,88,79,62,26,64,66,83,85,82,82,0,15,96,48,6,67,85,86,94,33,19,32,24,25,48,50,7,32,62,6,69,28,37,79,4,43,97,96,85,6,41,27,30,19,54,94,57,33,32,70,33,54,51,77,40,11,23,50,32,66,3,71,43,7,51,25,76,39,99,91,62,35,75,88,73,14,83,5,73,94,15,88,21,37,65,41,24,56,56,66,84,45,49,3,66,42,10,24,78,48,20,38,33,28,39,70,81,81,3,0,29,67,38,89,27,44,5,27,20,57,95,25,46,2,94,55,8,40,5,33,28,52,86,0,20,76,50,66,82,41,24,9,63,76,76,79,51,24,54,47,82,92,14,69,6,13,35,6,52,9,92,61,48,1,85,23,19,99,1,97,8,53,87,11,63,25,2,99,49,73,70,76,0,47,74,44,3,42,9,97,60,56,21,11,64,75,35,31,33,77,72,10,13,82,7,34,74,89,31,4,6,90,20,5,59,19,11,0,23}

{63,2,71,72,64,88,41,75,28,29,45,19,70,72,27,77,41,5,59,45,43,22,34,69,93,78,48,26,17,4,38,19,15,91,4,45,46,75,55,45,63,84,48,22,17,56,76,78,79,40,92,67,57,50,4,52,98,81,57,98,55,43,26,86,51,58,57,27,80,28,41,48,81,90,6,8,28,39,16,43,26,35,8,5,87,70,27,47,12,47,1,88,71,50,92,76,86,59,68,95,24,77,25,76,4,5,64,42,79,19,57,40,61,3,1,35,36,19,24,67,8,74,85,70,77,93,3,12,4,47,11,73,91,76,0,15,84,63,37,43,70,4,7,17,39,43,44,60,99,89,46,18,92,66,76,44,43,93,82,67,46,3,13,53,21,72,13,94,62,14,45,42,55,56,4,56,34,41,46,82,39,36,21,9,87,32,32,7,67,63,28,95,71,97,58,83,47,96,39,70,90,48,40,42,69,92,34,48,5,98,59,57,77,25,86,27,46,96,56,84,25,63,24,60,25,14,35,71,19,89,88,90,24,58,56,41,66,9,61,65,78,97,66,68,17,35,77,75,53,3,89,15,4,35,78,26,99,51,62,66,80,12,49,95,21,41,82,87,1,19,96,24,15,18,48,82,2,57,19,94,0,91,7,42,39,19,61,3,90,28,39,12,4,8,85,42,81,16,85,42,19,25,40,23,48,65,5,0,95,99,31,53,47,99,49,21,44,11,69,89,50,78,27,80,63,37,90,64,48,49,68,25,85,94,57,8,39,75,22,50,39,6,9,1,25,94,74,24,10,41,19,52,56,83,2,74,68,85,49,53,88,10,14,2,3,30,26,53,75,7,27,94,73,80,84,71,59,32,37,70,69,24,14,7,92,0,31,56,67,48,31,99,83,96,15,25,15,66,2,98,28,16,79,64,56,2,23,80,12,61,97,13,34,25,17,14,2,78,25,10,38,59,86,17,10,62,72,15,9,71,77,57,52,2,43,81,57,92,57,76,88,37,19,5,97,56,90,16,15,62,13,63,86,24,16,28,53,4,51,68,12,86,74,33,4,83,78,93,38,68,25,71,51,5,65,1,0,60,86,2,80,59,19,38,27,99,81,41,87,10,38,98,45,21,59,89,24,81,23,60}

{488157624,588979090,314484386,970504235,573363164,665616653,860111751,988517248,777964169,475768056,387322666,759202583,824379777,841528214,723511354,1273768530,1127059689,557021978,1214773368,357772243,958284427,703074929,962105470,654638799,963794413,250930383,516702212,1094151401,445316104,881830261,873083109,532239636,1159239697,792309410,153778905,313794287,153890741,501567418,556058683,1065859933,770042605,882098799,824476614,761028911,787990859,683960769,566999100,149594085,373047321,1149215269,438940260,310263255,893607077,1644173427,491804453,338823329,674422028,266713149,927076354,345212248,715096436,660906747,364055550,693576663,0,491326620,654607676,350577735,524744278,825328646,685535839,335459946,531692399,625628358,832574026,406862988,748394799,573542428,1032345930,234478915,1247821418,404892943,745859053,351666877,681785907,762537045,620811013,854116844,741915851,1391017388,849479196,117964582,796390118,1259114740,361835237,612089115,1320145363,659798870,83976027,643263422,593470767,1038777710,686623510,252691787,243606672,345954950,934804502,805994841,806092488,159068357,967380935,580787350,1148159865,626568788,874422872,395508039,710554331,759202596,913160386,573499131,500454069,749054267,899834737,440492484,1004733706,465855307,1135892570,613528751,800944704,1119118683,394829874,491213460,418522780,729333967,667359623,170463635,469391125,1053948707,850977639,384515230,526137689,402008423,360603920,440122510,105084253,1021751471,557373142,976200625,348102999,690439256,134640207,675698380,312548809,823155200,961283984,482904282,573668120,111886719,595084712,432550968,810791388,424088058,88527038,813957062,915963544,549092642,143433219,928998567,872296582,536954001,399397312,536422536,774891071,679437613,324957817,768015096,700772349,948489909,327704857,893812840,514344818,393840315,682707884,894404792,810900900,302385762,855300428,313545622,562436370,565091465,875219563,507329462,499604785,736172653,504225111,787087305,404491366,1168615271,597350841,596854856,1011488144,441582303,1122083214,825543939,778229317,1400224242,210592497,886598325,181899765,313080253,410992239,1011806425,234514769,700772374,862814496,1107339132,879611484,372225220,501712640,871672890,18,832839610,707966806,875695410,186392087,1634478259,452527058,491517072,1179023772,407394882,665616680,1180602875,470100105,684826277,923386863,1124637369,729433900,434360763,886826709,1269772437,881490359,633472628,938530158,749945641,430794174,577180654,822131096,315916542,143654869,461361542,748455074,988121891,943657488,868088994,622039799,1249836767,236554287,648652739,770878222,1110202315,229297575,549589237,394509388,954146088,1013523393,244085786,595084734,970719416,956451525,890597993,1384672352,632536363,516064747,559340405,586585651,71674340,826355894,498012192,483392179,738376663,825629343,863362731,167110541,478110295,979468381,775736139,931986664,1025471743,761569322,861707741,999359221,268570087,562360845,794715850,327781686,795211101,301527650,461133368,1100093396,429419108,252960411,340308908,562975639,908616323,425411980,689649702,530832277,326359686,644328365,1058536826,527148277,778229348,845258646,248736410,471089428,489073787,254378458,34089030,1014945297,381573048,1111953667,738777561,3,577917079,890514552,619218687,710126825,451610002,840707258,1051996673,1036004064,481817867,323625399,739248518,783728951,843114408,535453905,778151374,521625470,1371423947,107128566,1326363516,402887738,1024827840,647416939,739248539,321403238,632536371,273186212,81378771,620895728,816933588,122399996,1278022055,813554611,361441330,1250531850,805419763,211405001,400798357,141007683,1159239671,1228113370,206516249,1043306700,1030726844,856924669,1046875020,690187214,348385172,489812621,1054083268,644235795,1312047276,688889436,552569354,840165365,303939318,811884232,629757772,711374599,702477899,358727548,1062712188,312548858,473345799,457111319,234999513,301527626,239043777,222810367,1207945269,442183508,1176653797,493742964,1026375910,570676815,764216237,876220413,501448178,90174222,445568957,796182598,605971941,540492539,717921441,528771732,935479667,757469210,236655652,825698839,887596901,647867276,996441207,293290593,536954002,370169370,1016317278,536563358,952633933,640865691,872665806,1415334898,757467757,992473779,572301446,1355185081,1128049896,362650642,116389884,1306918771,951881906,953034202,977064846,1156332543,486972938,964191274,705700746,927076334,671629782,344781691,127190612,1049161630,400186929,740842040,384339119,620662154,743582718,471244435,466785264,417489989,456924772,109277539,1141871948,780686585,424819671,954593328,695590084,1447519343,793580221,549589256,63818894,888402277,736352519,1073063331,463078239,287397605,386285692,580974435,315512007,411501742,888554492,720786597,181899795,731896302,637560683,695631616,714261591,520930167,1282289473,877948010,1339386590,263139796,230663285,1513704035,405817574,319794219,1293752042,771669408,969342282,873742418,200721491,244221743,476569447,464857650,653348161,923206748,138273707,314409461,56213890}

Returns: {427926706, 547522001, 112864762, 882878346, 866815038, 654570331, 937345883, 231312299, 646722534, 179073226, 720125551, 653322124, 85998574, 706327801, 527533120, 774275268, 592065064, 616219942, 926918045, 125694670, 72970501, 155946581, 521236998, 516319726, 567109098, 676909369, 154275102, 600936697, 125085812, 889905950, 885432165, 502724217, 999379150, 213775973, 178730370, 503427999, 285158100, 43464742, 267038879, 225017840, 602260134, 830126321, 781786119, 533083198, 660454289, 722200002, 229462320, 663466892, 944937064, 470325748, 518360655, 136031031, 860011260, 10244745, 559870, 644605632, 825379198, 817429015, 237531784, 262148875, 591283654, 147442593, 552538864, 645719968, 114281285, 418574852, 69804158, 169292361, 770800588, 584363360, 589336427, 365293599, 620369310, 51647708, 597933889, 935206231, 289891051, 695983642, 186200864, 315902156, 49852631, 917121778, 809791065, 816948833, 441238970, 266357430, 408957490, 154143650, 592171127, 225308463, 865452339, 473212919, 709340995, 235822280, 96067980, 701481830, 773396729, 306406592, 821044393, 763807978, 954110355, 950169097, 62579469, 197527343, 610500702, 96796057, 184470537, 756734017, 678796541, 396850540, 727144858, 632378064, 541268127, 439625154, 818589279, 900813291, 343061217, 278564474, 574853602, 972907737, 176760138, 666978529, 922338233, 618879519, 172930467, 476158861, 907670279, 474900658, 567669742, 700122965, 794732383, 974720408, 227499116, 381732371, 202691657, 632550083, 638492141, 152780526, 737524595, 981909057, 142829452, 693121629, 710058455, 311722571, 978675702, 37343725, 261482340, 432947525, 238314472, 94674261, 776110458, 894969776, 531732979, 689657537, 926129137, 224624243, 483713940, 404248835, 426061935, 839914454, 69364908, 203440882, 501706445, 635062761, 907895632, 38237923, 36810508, 356248056, 993007530, 864539551, 619001848, 133020170, 108908222, 723019099, 121721238, 788981347, 585562084, 122269229, 499411347, 395002380, 830804488, 682786578, 356441361, 756510777, 677866090, 982464467, 693132309, 373384196, 703882488, 99581959, 585685422, 245650925, 905727874, 135167237, 517811753, 546983443, 255665474, 675273365, 809544788, 898081030 }
{944282816,161705659,154289572,233388170,526464739,960140327,523709212,956421635,765564710,456451481,55156514,498498399,429957537,79565771,309496112,764872060,521335988,688113008,321707862,88669091,7035538,807336926,57905520,863549373,743074571,421621509,467868692,880306905,593287377,703487171,655337932,970701162,988416673,316449425,678408763,790592522,924373360,281737390,229461196,903313536,484259822,400259267,322360599,705586377,271035275,606047306,126857444,202512320,152395632,708984451,522051421,906639549,722653516,272161149,280592840,102913400,43404306,84583547,519343530,215074840,461553294,246664405,369996830,667406608,771730436,212065153,358870634,439162983,469625983,212469702,878140453,201093640,499476416,474195659,981149256,839831933,395967462,661189093,886347972,780184342,119150265,254150073,299313329,743463228,754149364,632240717,800100408,75074561,75284061,537140856,848658011,699441735,162841065,246512569,101542353,270848945,602233176,711840508,942101129,399346040}

{944283620,161706149,154290016,233388621,526465507,960140717,523709495,956422369,765565201,456451851,55156602,498499014,429957811,79566151,309496383,764872710,521336431,688113299,321708367,88669597,7036339,807337461,57906460,863549783,743075100,421621678,467869166,880307380,593287953,703487429,655338527,970701411,988417111,316449795,678409202,790593416,924373508,281737828,229461937,903314115,484260690,400260063,322361006,705586738,271035742,606047816,126858117,202512884,152396446,708985258,522052005,906640273,722653988,272161435,280593081,102914120,43404414,84584154,519343745,215075395,461553782,246665005,369997226,667407156,771730784,212065311,358870723,439163481,469626495,212469979,878141228,201094075,499476710,474196394,981150133,839832487,395967884,661189553,886348584,780184983,119150432,254151018,299314158,743463485,754149510,632241477,800101208,75075161,75284869,537141368,848658788,699442576,162841369,246513210,101542447,270849557,602234072,711840948,942101566,399346614}

{713507159,735468372,165958579,546756994,769544914,776831909,945237281,252536035,744988041,418415655,71905437,118563408,945951929,286538905,128753404,14796661,133514612,537051979,773181195,791006935,804515409,526286475,901354224,301183232,4539385,486774016,833874723,330941240,787116521,422308728,851986744,874224722,427203754,879097573,513181566,785059678,928559451,286680131,932347848,994460656,166152001,895904356,502520991,567583816,689363392,285250347,695437796,377894748,764043871,208818038,196028300,823678131,979697151,719640586,421584798,264668076,433138929,730685675,607050545,858869497,246649826,400101861,153547791,130789447,585558913,556427375,983120467,817666945,117077833,99296419,402607350,557497183,566386477,613423874,696726531,354768280,271719481,426403086,750470809,787392597,681557377,11806927,220959713,227229108,708050513,666215901,455159221,314679194,322868771,27222520,566489264,135085693,354943545,683085435,170185343,137801917,782129233,522144555,112495023,879212809}

{713507366,735468405,165959206,546757601,769545144,776832179,945237878,252536144,744988247,418416217,71905670,118563850,945952344,286539823,128753862,14797164,133515166,537052477,773181529,791007449,804515961,526286887,901354246,301183591,4540161,486774743,833875427,330941578,787116559,422309323,851987336,874225109,427204322,879098184,513181958,785059893,928560156,286680315,932348300,994461136,166152295,895904599,502521173,567584378,689363921,285251145,695438335,377895637,764044314,208818509,196028820,823678387,979697547,719641082,421585291,264668527,433139439,730685763,607050655,858869912,246649915,400102366,153548577,130789958,585559323,556428124,983121135,817667481,117078103,99296982,402607430,557497550,566386811,613424534,696726991,354768516,271719846,426403835,750471553,787393244,681557648,11807271,220960098,227229523,708050932,666216412,455159435,314679989,322869515,27222867,566489855,135086300,354944236,683085879,170185978,137802053,782129852,522144723,112495286,879213584}

"BBWWWWBWWWBWWWWWWBWWWBBWBBBWWWBBBBWWBBWWWWBWWWBBBBWWBBBBBBWWWBBBBBWWBBBBBWWWBBWBBBWWBWWBBWBBBBWBBWBB"

{33,29,44,68,89,82,61,5,55,26,11,59,74,39,64,48,85,78,48,19,96,26,71,27,92,35,31,9,35,62,75,3,43,22,31,29,30,68,56,74,38,26,38,63,45,75,14,58,59,84,25,56,70,21,6,54,39,72,36,77,39,2,35,27,33,99,25,96,66,49,24,5,19,63,35,51,42,83,82,78,68,44,66,80,10,42,8,98,85,96,46,79,63,20,15,36,11,14,82,35,51,79,5,72,11,69,1,35,69,5,84,20,83,75,48,31,86,24,93,12,36,39,56,67,60,7,72,46,22,5,8,59,74,50,60,88,37,61,22,47,10,55,91,18,7,18,85,1,45,57,24,82,39,83,89,35,30,19,10,97,54,37,67,30,95,44,51,21,4,65,92,37,39,19,58,7,45,14,36,62,84,20,95,96,64,84,61,28,31,98,15,63,38,61,48,30,80,72,80,18,67,18,68,77,37,65,13,1,46,45,48,94,42,64,9,84,21,62,90,57,90,50,58,20,73,73,34,95,92,99,33,95,94,98,79,84,55,28,87,26,74,68,18,70,73,25,47,34,19,90,87,17,41,94,26,4,5,72,90,0,49,57,46,12,93,60,69,33,52,19,69,85,53,54,98,57,52,29,89,4,36,81,31,78,41,53,76,10,45,23,22,29,42,92,70,11,46,53,30,93,9,16,27,93,9,45,42,95,76,74,29,35,43,81,69,57,21,95,10,49,48,12,43,82,52,14,83,60,3,9,9,82,77,27,8,5,76,24,17,5,92,33,37,32,82,39,61,2,67,26,83,73,50,87,72,65,44,71,98,40,83,15,60,88,57,27,32,14,35,47,12,57,63,55,19,24,89,91,59,58,7,63,11,59,39,96,78,45,0,6,25,69,93,64,59,43,5,62,60,77,51,19,70,60,90,98,87,48,87,34,39,34,80,10,86,34,58,59,73,60,27,55,10,73,31,85,30,12,82,15,13,70,69,63,86,39,77,88,49,42,13,71,36,37,73,35,11,2,4,49,10,68,16,24,27,45,6,45,31,72,40,82,83,62,95,80,35,68,36,46,0,38,57,49,26,51,49,16,15,78,45,23,92,77,41,60,58,96,8,83,68,21,66,40,8,62,3,43,45,99}

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Returns: {944283236, 713507193, 161706140, 735468381, 154289889, 165959079, 233388510, 546757284, 526465075, 769544931, 960140483, 776832033, 523709281, 945237304, 956421636, 252536144, 765564892, 744988226, 456451813, 418416123, 55156602, 71905669, 498498515, 118563827, 429957763, 945951939, 79566056, 286539428, 309496112, 128753862, 764872464, 14797164, 521336149, 133515005, 688113063, 537052068, 321708322, 773181212, 88669597, 791006935, 7036339, 804515409, 807336935, 526286720, 57906072, 901354235, 863549477, 301183373, 743074572, 4540161, 421621640, 486774407, 467869006, 833874723, 880307042, 330941402, 593287509, 787116523, 703487193, 422309221, 655337933, 851986744, 970701162, 874224723, 988416684, 427204187, 316449468, 879097767, 678409034, 513181652, 790592627, 785059741, 924373380, 928559567, 281737395, 286680310, 229461582, 932347944, 903313536, 994460656, 484260041, 166152283, 400259828, 895904402, 322360818, 502521173, 705586538, 567583828, 271035358, 689363802, 606047319, 285251123, 126857959, 695437954, 202512756, 377895187, 152395989, 764043906, 708984656, 208818509, 522051678, 196028798, 906639834, 823678256, 722653738, 979697151, 272161345, 719640776, 280592896, 421585051, 102913847, 264668516, 43404414, 433139309, 84583943, 730685714, 519343539, 607050647, 215074949, 858869515, 461553622, 246649904, 246664845, 400101896, 369997052, 153548567, 667406873, 130789824, 771730447, 585559304, 212065215, 556427690, 358870654, 983120492, 439163397, 817667119, 469626262, 117077945, 212469856, 99296859, 878140462, 402607419, 201094000, 557497309, 499476427, 566386788, 474196075, 613424381, 981149292, 696726568, 839831979, 354768497, 395967535, 271719760, 661189290, 426403621, 886348112, 750471066, 780184428, 787392683, 119150360, 681557503, 254150603, 11807260, 299313686, 220959976, 743463229, 227229523, 754149375, 708050898, 632241213, 666216279, 800100493, 455159435, 75075045, 314679834, 75284796, 322869443, 537141235, 27222867, 848658108, 566489539, 699441999, 135086296, 162841369, 354943918, 246512651, 683085664, 101542435, 170185731, 270849174, 137802031, 602233662, 782129365, 711840522, 522144680, 942101137, 112495278, 399346366, 879212809 }
{801400303,882020822,203257826,777202564,620441153,442254352,512861787,188406090,748993027,779209185,518479566,641413069,786395282,483659486,572760905,329203895,478913309,605396257,936758047,398879517,347918244,758580508,173880531,100590088,833942837,839788935,422027257,507702441,241515772,469470301,424076759,398577640,243497344,218048555,253129333,191160675,600272097,376079352,524310640,833460282,749509497,949770862,33889292,288065345,222282173,430495559,186866167,434173848,339567782,862497718,752958251,565216561,974467910,351662101,597804303,982302336,652152609,65793351,180727659,25736764,457832119,917744804,9381624,679406081,584944014,704551735,588455841,618264042,675050402,688797910,34107839,500495236,240101155,228673964,618714139,608863849,581965052,255484886,565012876,811333687,786732206,658901526,115818709,954041049,518168243,886852026,814306150,106926199,962588403,661056539,807252121,268962566,413267646,744703525,392663734,306951486,82726119,725677102,80285857,684752611}

{801400748,882021356,203258324,777203200,620441879,442254812,512862311,188406711,748993814,779209949,518479992,641413638,786395416,483660267,572761521,329204068,478914011,605397108,936758306,398880147,347918534,758581028,173880973,100590149,833943411,839789628,422027618,507702687,241516395,469470464,424077255,398577976,243497707,218049451,253130007,191161534,600272390,376080071,524311460,833460869,749510111,949771264,33889805,288066102,222282970,430495967,186866433,434174666,339568491,862498601,752958759,565216948,974468715,351662385,597804891,982303083,652153549,65793830,180728567,25737301,457832435,917745051,9381888,679406994,584944800,704552217,588456235,618264279,675051039,688798262,34108196,500495739,240101336,228674264,618714953,608864571,581965396,255485526,565013325,811333908,786732511,658901988,115819588,954041722,518168863,886852601,814306499,106926546,962589005,661056887,807252462,268962745,413268441,744703925,392664381,306951823,82726460,725677384,80286073,684752964}

{704065291,363126067,223589074,955697581,334531900,139366041,813178741,138787592,912636731,844883344,756801311,697827478,971721745,793317054,662625509,140904546,38311039,452768747,435750319,737427259,683240667,759591009,986498238,926508932,417833204,3246636,492663637,328541769,705666683,452127970,821361616,294539535,382909899,701671067,918349009,566510183,747627794,36937837,527590365,800583429,537635599,356560063,484623262,226152521,970927925,701922801,257502316,655129463,933501271,152720180,748159905,729831702,48359352,389314051,566942981,245488311,37226649,279011158,161350533,79855389,18070799,619996115,320881862,63170500,525464675,418994305,299201907,261406048,472385934,188104811,323772067,121968413,59325706,724586834,578958689,258408873,340533606,294792535,740521311,340834011,600508951,500143942,137442400,639750270,592170742,911750979,272597141,200187588,162857707,940840156,992027625,684065862,818728800,528541909,626120046,758901412,496417045,509987204,584257236,310744143}

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Returns: {801400407, 704065396, 882020838, 363126497, 203258300, 223589141, 777202836, 955697853, 620441260, 334532145, 442254500, 139366266, 512862177, 813178816, 188406292, 138788136, 748993301, 912636739, 779209484, 844883521, 518479712, 756801457, 641413208, 697827837, 786395282, 971721745, 483659922, 793317303, 572761211, 662625912, 329204019, 140904786, 478913652, 38311422, 605396660, 452769178, 936758047, 435750659, 398880074, 737427285, 347918327, 683240715, 758580976, 759591045, 173880972, 986498238, 100590120, 926509205, 833942837, 417833316, 839789057, 3247065, 422027382, 492663637, 507702598, 328542163, 241516002, 705666993, 469470423, 452128554, 424077231, 821361618, 398577954, 294540126, 243497692, 382910334, 218049450, 701671499, 253129931, 918349032, 191161335, 566510435, 600272125, 747627828, 376080062, 36938756, 524311258, 527590479, 833460282, 800583429, 749509758, 537635860, 949770862, 356560178, 33889715, 484623392, 288066102, 226153281, 222282859, 970928035, 430495803, 701922826, 186866347, 257502694, 434174372, 655129651, 339568432, 933501321, 862497948, 152720604, 752958251, 748159905, 565216673, 729831809, 974467927, 48359706, 351662317, 389314294, 597804547, 566943503, 982302395, 245488846, 652152959, 37227222, 65793783, 279011571, 180728053, 161351392, 25737301, 79855592, 457832390, 18071574, 917744804, 619996115, 9381866, 320882455, 679406466, 63170994, 584944389, 525464722, 704551809, 418994713, 588455984, 299202032, 618264278, 261406541, 675050676, 472386398, 688797936, 188105165, 34108142, 323772356, 500495489, 121968721, 240101285, 59326221, 228674040, 724586847, 618714467, 578958974, 608864144, 258409381, 581965108, 340534250, 255485306, 294793130, 565013036, 740521356, 811333726, 340834424, 786732390, 600509235, 658901600, 500144538, 115819221, 137442936, 954041129, 639750522, 518168646, 592171065, 886852026, 911751053, 814306198, 272597492, 106926255, 200188255, 962588403, 162858017, 661056576, 940840193, 807252134, 992027638, 268962706, 684065925, 413268059, 818728877, 744703670, 528542054, 392664364, 626120247, 306951823, 758901412, 82726180, 496417107, 725677182, 509987427, 80286073, 584257309, 684752738, 310744197 }
{278710942,299236506,813143947,419200418,447752782,14413469,962729179,280829571,177777519,234014276,73269713,958160836,562204031,990952075,858584932,619757517,413087133,482074471,477532451,340673839,605677146,767163066,653465145,3681494,430323072,300141562,642186919,461637505,2785164,165062658,944146189,331393293,343143041,255069449,617041263,390604932,901735822,823937616,432007893,284000274,41547556,853744277,630970340,257319784,447057451,281315307,417708950,175939008,902091735,549873357,136477431,357930526,571669081,167385190,368356904,222549632,120009954,690668142,828024254,917956441,260189752,28707315,834713834,574955960,93559996,62496772,181584902,459816926,387207341,575337574,676401072,88491834,457266179,214566001,967270809,752223023,262932439,405703944,633772311,394073367,595502524,317363255,364134656,398391151,279757979,948251870,510063545,420957769,518856387,732369931,230128479,29777440,621152555,594960862,813494598,257774441,523036040,960711757,730302111,917274}

{278711034,299237097,813144611,419201002,447753032,14413683,962729679,280830099,177778315,234014894,73269977,958161358,562204343,990952407,858585468,619758037,413087739,482074942,477532859,340674475,605677548,767163356,653465951,3682159,430323434,300142235,642187842,461638320,2785974,165063527,944146684,331393754,343143262,255069732,617041827,390605049,901736440,823938267,432008673,284000917,41547911,853744565,630970891,257320503,447057894,281315844,417709468,175939944,902092100,549874211,136477610,357931169,571669400,167385364,368357803,222550077,120010587,690668390,828024828,917956718,260190240,28708000,834714385,574956443,93560253,62497499,181585552,459817690,387208262,575338183,676401765,88492083,457266754,214566474,967271226,752223447,262933165,405704723,633772752,394073840,595502922,317363707,364134945,398391744,279758760,948252520,510063722,420958210,518856911,732370275,230129290,29777747,621152979,594961199,813495083,257774834,523036583,960711919,730302838,917759}

{562724,913733338,583763279,629899923,670735510,899783696,571857278,164345381,450988505,538007942,414925832,275187345,801428985,870427400,477714608,572300231,705577425,72057111,543349606,711200789,218818462,296374042,140652073,585645261,356029429,173200789,946533990,965430963,635993679,793812752,639885282,266927522,602112421,851669315,254150011,59764886,902427454,952416427,284921552,290624752,548301274,573676929,267910752,879924011,864253420,984033608,258937958,345045569,654052199,43747828,915924798,388523537,627833948,980509943,439871854,959283131,243006537,956153419,398233288,876628953,66474612,369218564,930287758,960803372,698854900,412792913,447444281,332125476,529514211,857241923,323106018,350310688,471646560,532730685,488090931,196124099,650720814,543780914,256550798,819783687,120720315,254864235,491317580,316244439,630935128,136178314,530728086,367827081,436112752,191199007,455021608,905328063,722496630,230286574,761508470,985016746,435991116,795197906,829916463,457143971}

{563567,913734034,583763880,629900230,670736190,899784126,571857711,164345811,450988868,538008484,414926776,275187579,801429369,870427697,477715293,572301025,705577816,72057528,543350063,711201241,218818800,296374595,140652152,585645735,356029561,173201145,946534525,965431714,635993937,793813247,639885741,266928118,602112985,851670117,254150419,59765431,902427975,952416845,284922248,290625317,548301904,573677074,267911367,879924450,864253826,984034141,258938387,345045857,654052384,43748622,915925409,388523989,627834327,980510362,439872573,959283817,243006957,956154060,398233612,876629484,66475524,369219098,930287862,960804054,698855323,412793254,447444913,332126188,529515116,857242798,323106804,350311173,471646956,532731023,488091198,196124188,650721420,543781799,256551169,819784083,120721022,254865084,491318385,316245251,630935613,136178758,530728524,367827772,436113294,191199659,455022083,905328557,722497095,230286913,761509017,985017022,435991592,795198289,829917117,457144397}

"WBBBWWBBBBWWWWWWWWBWWBBWWBWWWBBWBWWWBBBWWWBWWBWBBWBBWBBWWWWWBBWWBWWBWBBWBWWWBBBWWWWBBBBWBBBWBBWBWBWB"

{10,85,49,24,72,36,80,58,78,31,98,59,41,81,12,9,77,98,23,16,58,40,94,40,95,35,60,94,92,34,81,56,48,76,28,5,74,78,80,95,97,22,42,38,52,75,54,78,10,36,86,59,20,24,64,43,93,34,16,81,43,9,74,90,98,15,69,69,71,59,84,47,49,17,42,44,47,6,89,88,56,99,34,28,4,20,76,44,44,64,48,5,31,90,99,10,27,25,48,3,55,41,27,41,66,28,61,25,48,88,63,25,77,49,70,57,29,31,43,41,15,33,44,77,75,83,28,74,6,1,7,42,42,71,63,7,98,49,5,92,9,96,88,95,92,31,94,34,54,77,82,4,14,2,79,14,78,32,89,44,47,3,57,95,58,16,50,74,41,86,8,28,23,97,29,24,93,83,95,7,28,56,32,52,13,16,80,86,12,87,39,30,27,2,85,23,41,41,6,30,64,35,79,15,11,23,10,44,27,73,57,58,2,84,93,22,21,1,73,56,81,33,81,63,9,75,32,90,23,8,2,47,45,11,34,40,52,28,71,94,93,1,22,53,34,55,49,14,57,45,96,17,58,53,45,12,27,44,90,36,52,93,0,13,82,53,47,5,70,13,10,12,7,76,86,38,41,14,13,69,60,26,58,3,27,42,20,53,4,48,31,85,38,77,70,9,10,92,91,22,87,29,57,89,89,48,92,19,79,80,7,0,4,13,72,47,75,63,2,24,94,37,24,46,87,18,48,96,11,55,78,35,29,96,70,66,2,88,64,4,19,15,26,11,33,32,83,79,35,76,18,78,84,69,31,28,52,42,71,92,48,70,60,3,66,65,7,54,6,70,49,0,58,15,33,58,32,59,98,69,99,46,94,99,40,9,20,12,25,89,72,85,28,73,76,87,79,47,22,26,92,46,25,61,77,79,6,63,77,69,42,58,48,7,51,29,17,62,19,4,3,5,98,53,94,18,99,33,82,82,68,62,11,20,76,18,28,58,51,76,3,37,46,39,65,65,52,59,74,20,57,34,23,48,2,14,87,60,53,37,52,91,59,58,53,94,50,23,40,9,23,26,86,75,60,18,24,50,78,38,53,45,89,72,37,99,13,71,2,28,44,60,96,63,95,7,79,10,17,23}

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052499}

Returns: {278710988, 563244, 299236809, 913733384, 813144025, 583763486, 419200655, 629900000, 447752887, 670735641, 14413683, 899783697, 962729179, 571857710, 280829637, 164345788, 177777844, 450988633, 234014750, 538008257, 73269942, 414926312, 958160837, 275187579, 562204343, 801428985, 990952075, 870427401, 858584970, 477715076, 619757663, 572300779, 413087598, 705577566, 482074761, 72057347, 477532605, 543349864, 340674365, 711201029, 605677248, 218818788, 767163173, 296374564, 653465511, 140652108, 3682108, 585645518, 430323322, 356029530, 300142148, 173201087, 642187268, 946534100, 461637738, 965430968, 2785914, 635993810, 165063527, 793812752, 944146208, 639885371, 331393649, 266928013, 343143235, 602112662, 255069732, 851669704, 617041363, 254150245, 390604986, 59765408, 901735929, 902427638, 823937616, 952416427, 432008220, 284922025, 284000917, 290625317, 41547911, 548301275, 853744277, 573677073, 630970534, 267911331, 257320503, 879924259, 447057487, 864253455, 281315734, 984033659, 417709128, 258938282, 175939876, 345045789, 902091735, 654052200, 549873957, 43748561, 136477593, 915925070, 357930843, 388523918, 571669126, 627834228, 167385343, 980510122, 368357416, 439872355, 222549816, 959283158, 120010470, 243006734, 690668229, 956153507, 828024297, 398233331, 917956529, 876629089, 260190223, 66475506, 28707848, 369218715, 834714157, 930287773, 574955960, 960803372, 93560253, 698855040, 62497499, 412793183, 181585148, 447444526, 459817362, 332125843, 387207815, 529514755, 575337843, 857242238, 676401097, 323106576, 88491940, 350310978, 457266283, 471646852, 214566463, 532730931, 967270809, 488091115, 752223185, 196124141, 262933035, 650721254, 405704155, 543781404, 633772471, 256550924, 394073835, 819783737, 595502801, 120720933, 317363294, 254864742, 364134824, 491317890, 398391323, 316245162, 279758317, 630935510, 948251871, 136178758, 510063633, 530728276, 420958014, 367827576, 518856400, 436112997, 732369996, 191199593, 230129031, 455022064, 29777747, 905328503, 621152594, 722496669, 594961123, 230286884, 813494598, 761508470, 257774656, 985016777, 523036230, 435991242, 960711757, 795197934, 730302372, 829916498, 917759, 457144396 }
{540810527,631940901,161140368,537388134,770467518,347210922,50106864,112438206,237669480,127016420,289528596,328802049,908770843,187322888,997371893,331088037,915468187,253762368,99980179,481121337,869787579,757286404,856762033,913001464,206827917,730320232,286275037,637494745,441840203,790405909,67345936,122285097,809618608,54658408,162169080,113382554,224876457,656733632,860302528,528618704,947003208,860868959,500722546,974644586,69970568,899472218,464929418,622475996,612157355,862939888,79597078,795333428,947009624,575576922,635178706,475083860,426986910,874795164,421085286,390540751,13244854,923549736,824457211,585343637,971915808,328562561,394554404,263218086,910556985,609869514,283755808,812873740,970413860,280022114,484862314,66834829,516829696,287257118,587393048,323332619,749198696,854032474,205666839,407779828,279530401,107997174,939700593,197265438,353695693,607749001,429305673,37186731,743831581,32603094,534632533,534900769,900556560,771729540,782162610,444896013}

{540811220,631941431,161140848,537388772,770467973,347211695,50107574,112438963,237669746,127016949,289529117,328802469,908771387,187323205,997372519,331088362,915468874,253763087,99981010,481121815,869787602,757286840,856762277,913002332,206828410,730320669,286275638,637495480,441840477,790406646,67346510,122285859,809618759,54658566,162169829,113382771,224877282,656734466,860302909,528619323,947003576,860869671,500723322,974644980,69970997,899472539,464929744,622476777,612157630,862940291,79597590,795333737,947010092,575577489,635179415,475084541,426987396,874795377,421086080,390541402,13245419,923550180,824457376,585344202,971916437,328563031,394555192,263218757,910557221,609869843,283756381,812873924,970414254,280022668,484863098,66835486,516830066,287257704,587393790,323332969,749199490,854033255,205667428,407780600,279530859,107997604,939700813,197265819,353696185,607749737,429306430,37187221,743832169,32603828,534633042,534901284,900557369,771729906,782163276,444896531}

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{45,60,73,44,48,69,74,90,3,91,63,64,22,40,71,15,16,24,73,23,21,11,87,71,12,43,36,63,21,45,70,25,67,56,47,8,47,37,81,21,78,41,35,6,40,73,54,8,9,26,12,33,95,19,54,55,37,79,33,56,9,79,75,32,23,1,68,14,42,26,46,95,9,6,11,80,32,81,45,2,73,91,7,24,85,29,93,78,44,75,28,28,23,36,70,68,83,54,26,4,96,44,92,77,13,57,72,44,78,92,72,38,11,97,96,93,18,55,12,56,25,2,66,68,63,25,99,49,88,27,2,40,54,72,24,2,72,14,6,53,84,62,36,29,39,7,81,46,26,61,71,54,69,76,6,89,61,68,65,28,64,5,11,60,81,61,97,12,81,97,82,99,11,66,6,44,68,0,16,99,28,49,92,90,4,25,72,46,24,51,94,93,57,3,92,74,36,34,67,79,96,64,37,87,43,54,92,25,47,74,21,77,39,40,92,9,62,59,83,0,20,32,71,25,34,32,54,74,73,87,75,68,9,95,88,2,82,32,70,10,20,35,82,38,94,76,0,88,72,91,1,55,84,83,34,78,59,57,56,63,10,60,4,62,81,82,0,65,21,89,23,44,25,9,43,23,17,42,15,29,57,26,61,84,11,68,57,20,65,92,76,13,87,97,64,1,56,31,62,67,81,77,53,63,1,9,45,13,71,16,96,92,92,19,8,82,9,12,71,65,69,60,48,68,58,44,11,21,52,19,65,20,69,90,35,63,45,30,43,16,25,42,34,37,31,39,34,47,53,99,14,4,8,79,73,66,36,15,94,39,11,59,17,31,26,44,92,63,45,54,7,7,13,37,96,31,91,55,3,91,7,11,90,76,21,34,31,83,88,92,81,47,4,22,35,89,89,16,83,91,20,52,62,92,23,82,55,4,56,64,0,83,7,88,40,22,93,56,93,38,87,63,36,15,39,12,77,67,81,52,98,59,19,12,3,34,27,5,38,17,64,91,55,48,42,95,28,1,30,89,36,17,82,26,42,53,28,31,50,27,97,81,0,11,88,52,28,50,22,9,19,98,84,49,33,74,8,85,34,79,0,75,38,40,11,87,33,13,17,86,23,53,66,32,69,77,63,80,62,4}

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Returns: {540810937, 360599183, 631940993, 919859989, 161140654, 746386085, 537388498, 271571097, 770467672, 369898219, 347211403, 299639571, 50107555, 707495802, 112438963, 752900285, 237669738, 287746572, 127016627, 114540410, 289528978, 838244484, 328802150, 252489499, 908770943, 179283377, 187323148, 764403697, 997371893, 817777926, 331088272, 926251214, 915468196, 541055181, 253763009, 538894063, 99980841, 252062549, 481121682, 961432779, 869787590, 325523960, 757286421, 273095946, 856762132, 751164737, 913001619, 161046728, 206828324, 459927586, 730320263, 161003647, 286275625, 531520743, 637495142, 899362507, 441840435, 625983995, 790406168, 298732885, 67346077, 680178750, 122285850, 378380763, 809618759, 724908113, 54658560, 737018889, 162169829, 73100357, 113382697, 93194927, 224877104, 259384868, 656734131, 265564010, 860302528, 985383565, 528618883, 160569193, 947003257, 502338710, 860869377, 22160629, 500723145, 13047662, 974644586, 981760214, 69970964, 211208010, 899472293, 213217869, 464929456, 41574061, 622476266, 91632568, 612157587, 201688341, 862940008, 444705843, 79597590, 396192541, 795333428, 384692344, 947009624, 205903255, 575577428, 664953649, 635179229, 815237542, 475084340, 289073022, 426987297, 686108652, 874795164, 158907229, 421086056, 657902397, 390541072, 214100130, 13245404, 631531438, 923549838, 533347700, 824457211, 846700810, 585343696, 434652629, 971915809, 147762163, 328562746, 208187847, 394554923, 744420201, 263218581, 290472966, 910557084, 174968989, 609869514, 596103538, 283756127, 392591342, 812873874, 603093093, 970414004, 725356606, 280022595, 291434517, 484862542, 844959206, 66835175, 303365251, 516829930, 674646467, 287257700, 720658528, 587393246, 331920512, 323332958, 399931666, 749199105, 486437607, 854032971, 655835420, 205667386, 942271332, 407780231, 919495481, 279530801, 618848151, 107997490, 362383227, 939700705, 735816684, 197265815, 392737406, 353695949, 552985613, 607749309, 968275124, 429306194, 375471116, 37187209, 229850551, 743831776, 212353448, 32603811, 196343748, 534632533, 474195343, 534901053, 147098564, 900556561, 241490252, 771729573, 205886221, 782162748, 243724846, 444896531, 129531383 }
{548422026,27163251,69443380,156142513,97784996,983097382,64395858,463528888,415371562,377770445,659608774,9876918,470037865,965875132,979571765,969390570,838627572,19745789,392122367,848708482,305710964,691418029,837762161,209138691,200100476,457731666,799842728,664732081,303820908,332963950,310729322,319994241,852816539,6890811,294883349,454535837,143214717,799913028,372224411,72981870,330866237,469956129,386012082,509484144,820353168,873866532,131445414,701110717,88887672,644458774,668813909,419865599,478554055,376823604,986142982,637305416,343430419,212492712,289776322,237605225,864775638,433296460,790171338,916559485,882933533,17390448,580714937,180903458,166752074,419159678,82509442,63999397,924410015,672582237,635197725,564277052,887556686,132126014,865675548,359585851,988114096,569868372,530785935,491909580,207524547,990633696,498385209,851786173,528533793,269963637,929723689,368310125,743806851,134254767,646142567,883109393,434272506,720647575,707331712,204749299}

{548422431,27163545,69443909,156142743,97785840,983097976,64396042,463529706,415372507,377770641,659609052,9877436,470038460,965875651,979571951,969390994,838628039,19746366,392122897,848709248,305711287,691418249,837762289,209139246,200100915,457732270,799843217,664732602,303821540,332964228,310729973,319994649,852816940,6891316,294883799,454536537,143215154,799913930,372224654,72982278,330866902,469956238,386012567,509484590,820353874,873867036,131446118,701111594,88888501,644459229,668814044,419865709,478554613,376824176,986143530,637305584,343430753,212492964,289776632,237606019,864776173,433296970,790171859,916559911,882933917,17390946,580715509,180903785,166752986,419160422,82509829,63999789,924410733,672583020,635198483,564277603,887557070,132126904,865675873,359586350,988114417,569868777,530786233,491910357,207524913,990634060,498386031,851786574,528534556,269964090,929723888,368310584,743807167,134255386,646143132,883109946,434273051,720647946,707331973,204749415}

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{65,63,69,41,12,53,11,47,51,32,98,88,42,19,48,86,66,48,15,23,84,59,97,71,42,18,94,57,14,48,27,82,29,4,51,0,72,36,62,97,95,96,65,22,29,76,47,5,84,31,58,40,7,73,24,7,3,56,35,94,52,13,72,91,16,35,47,12,79,26,51,84,41,46,69,48,26,4,34,6,4,15,16,67,44,99,52,37,47,77,40,11,98,48,1,86,48,38,75,19,95,65,68,98,57,71,83,35,97,47,55,50,55,71,9,28,61,47,40,82,98,48,47,10,46,68,25,73,6,12,45,8,55,24,69,72,8,99,27,88,76,68,58,46,47,74,53,63,1,44,85,16,61,94,2,42,36,91,82,57,31,29,11,51,43,97,58,56,99,4,99,68,29,49,25,87,81,2,15,39,29,14,28,87,30,46,17,24,32,57,58,85,97,54,67,22,36,69,39,54,89,55,42,54,26,72,27,21,26,99,86,44,82,86,91,67,17,0,58,33,47,49,14,83,62,6,51,99,38,91,45,3,41,71,72,62,40,98,62,70,28,28,98,97,73,92,36,83,0,42,77,2,45,47,64,70,51,32,42,7,90,7,10,11,68,98,48,60,12,30,14,67,46,4,36,26,1,0,41,8,39,61,73,82,4,98,49,16,94,27,55,82,87,87,74,15,81,13,23,49,97,55,92,10,35,79,5,72,37,90,67,93,92,15,1,84,46,18,31,7,97,21,45,12,69,99,78,91,25,29,99,18,87,25,95,26,67,33,65,83,54,53,43,30,3,17,25,31,44,20,55,47,51,38,47,98,51,16,43,55,20,51,38,6,22,30,89,18,90,87,62,54,75,2,86,78,35,57,96,16,25,67,24,29,76,6,26,10,60,47,48,0,84,80,72,13,94,0,25,91,74,75,59,23,76,96,39,74,89,12,1,87,65,97,86,10,57,76,30,71,86,57,81,66,91,30,64,11,23,90,25,83,33,63,48,80,1,45,30,11,4,34,69,38,41,11,1,74,85,96,35,75,81,38,64,82,11,38,59,85,16,3,20,46,80,56,41,5,24,14,91,3,34,90,95,96,2,24,20,3,88,15,5,65,33,99,0,92,11,7,42,22,64,73,88,59,78,5,46,69}

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Returns: {548422032, 887333974, 27163535, 114619019, 69443908, 342384757, 156142742, 870963472, 97785531, 779857156, 983097437, 786921176, 64395974, 484582315, 463529197, 941353987, 415371956, 333657505, 377770592, 450506618, 659608866, 395320715, 9877389, 602119642, 470038140, 572235538, 965875132, 865788137, 979571811, 837332262, 969390571, 947117549, 838627645, 407306744, 19746366, 484431208, 392122525, 112820602, 848708758, 247096828, 305711115, 471765792, 691418174, 498148585, 837762168, 899653404, 209139130, 644124809, 200100825, 42876045, 457732027, 126695391, 799842863, 387718947, 664732139, 565369507, 303821496, 497096582, 332964021, 495136494, 310729762, 146428389, 319994349, 833368968, 852816596, 318469988, 6891316, 136944969, 294883557, 430182406, 454536218, 1899621, 143215154, 737345333, 799913175, 584817878, 372224513, 781171883, 72982207, 771527229, 330866706, 852668996, 469956179, 570204309, 386012370, 363064624, 509484398, 172948890, 820353291, 38360743, 873866555, 561242961, 131445723, 602539854, 701110919, 315964046, 88888083, 156912961, 644459020, 279051638, 668813970, 353486436, 419865709, 929814128, 478554238, 438987998, 376823982, 69827731, 986143029, 70017288, 637305447, 482590894, 343430590, 499548500, 212492950, 798028449, 289776541, 745944642, 237605933, 212368039, 864775755, 467696910, 433296801, 537371888, 790171402, 852860367, 916559485, 426536526, 882933652, 568448702, 17390945, 32413550, 580715193, 236969669, 180903778, 277909834, 166752947, 248007351, 419159950, 36156120, 82509753, 729876167, 63999752, 336758234, 924410192, 889590447, 672582416, 802444436, 635198034, 188125071, 564277367, 940241079, 887556738, 736034489, 132126801, 710295878, 865675579, 543676074, 359585941, 433101939, 988114150, 50386939, 569868531, 480176331, 530786105, 920497673, 491909885, 265771571, 207524633, 608405719, 990633716, 502952914, 498385637, 28894282, 851786346, 277687139, 528534221, 809479149, 269964054, 329439353, 929723725, 550660603, 368310542, 390370913, 743806859, 582158114, 134255351, 830216687, 646142828, 614057619, 883109423, 663310100, 434272737, 981831837, 720647648, 268634290, 707331773, 86754216, 204749361, 603195697 }
{41403155,149336335,245517520,526537337,492715941,674217789,565508078,374932102,531338032,85404354,676047480,21508832,342726227,32716458,525914288,392959234,455161313,915461051,372685745,672483282,159446913,156028252,208450998,654671444,537441556,908386199,472682617,799768448,922291507,564536573,918308083,939980554,163232437,595817373,28813123,893395472,959737923,320468168,713289749,623512360,326188681,433682914,85408765,86104932,865660279,544849134,646973637,844886934,752600284,142974751,193164850,300993526,489571827,879019997,8906993,604118092,85615183,584611197,877166410,554977003,281267389,725305537,789560611,45192950,144183215,284826424,149380484,758087404,233249380,528850071,138377466,111688763,416490732,878522883,405824301,741245067,462636498,363087349,158426814,771372714,510189059,759799688,380576267,527795192,727490427,133116920,648711757,427529156,982584652,43824275,216624226,611711139,350226409,638800638,767026171,35180987,38656181,449528604,922839636,202810082}

{41403478,149337003,245517938,526537784,492716675,674218281,565508509,374932970,531338331,85404816,676048000,21509689,342726932,32716927,525914690,392959488,455161564,915461457,372686369,672483412,159447704,156028471,208451636,654672409,537442146,908386633,472683366,799769141,922292387,564536830,918308704,939980945,163233014,595818112,28813546,893395866,959738514,320468653,713290217,623512929,326189343,433683297,85409394,86105281,865661236,544849496,646974242,844887592,752600400,142975274,193165375,300993846,489572046,879020340,8907613,604118599,85615758,584611559,877166923,554977520,281267952,725305841,789561110,45193417,144183532,284826957,149381073,758087916,233249828,528850646,138378041,111689075,416491568,878523752,405825024,741245148,462636812,363087657,158426910,771373229,510189291,759799895,380576852,527795721,727491083,133117147,648712114,427529612,982584731,43824938,216625049,611711587,350227018,638801231,767026554,35181439,38656532,449528835,922839897,202810698}

{256700994,24798965,707692903,88138882,583752430,713967080,144225686,468976944,684725557,184518449,953549688,188406049,910053395,205614743,750233353,821427502,270279483,258182671,38946054,418703264,216074554,425392264,538850914,156633121,245902212,798460277,452814915,26337350,972744866,552616608,294796686,7564952,767638459,618607424,659106114,560486913,972023858,302069444,228643756,292850411,1318318,139755862,482495058,953766857,864068666,128024809,493544460,260020509,43981039,243620363,81454492,963173181,223411995,744670925,631763501,113409565,699603538,167630876,419894027,989873587,890727349,832249319,154071361,259118069,500805271,803034999,51585012,948293210,307197489,792181979,257413607,210091562,212364430,844694256,220389743,156366889,889128206,581015710,38646721,768191540,928850788,630742856,769234954,780818312,496081890,153765360,738668523,389405812,647088125,878606961,468469032,457263975,375782491,397289155,296649086,264546661,519597804,346144652,241269071,782362726}

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"BBBBWWBWWWBBBBBBWBBWBBBWWBWWBWBWWWWWBBBWWBBBBBWBWBBWBWBBBBWBWBWWBWWBBBBWWBWBBBBBBBWBWWBWBWBWWWBBWBWW"

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Returns: {41403478, 256701319, 149336954, 24799229, 245517906, 707692935, 526537564, 88139575, 492716290, 583752666, 674217789, 713967081, 565508509, 144225828, 374932568, 468977068, 531338045, 684725705, 85404814, 184518750, 676047633, 953549840, 21509561, 188406220, 342726432, 910053527, 32716927, 205615088, 525914451, 750233838, 392959428, 821428043, 455161486, 270279954, 915461059, 258182962, 372686007, 38946688, 672483319, 418703751, 159447453, 216075262, 156028450, 425392583, 208451636, 538851201, 654671920, 156633600, 537441855, 245902241, 908386199, 798460278, 472683245, 452815113, 799768563, 26337735, 922291642, 972744973, 564536646, 552617032, 918308111, 294796936, 939980566, 7565356, 163232876, 767638848, 595817520, 618607458, 28813546, 659106184, 893395476, 560487188, 959737923, 972023858, 320468640, 302070151, 713289784, 228644215, 623512786, 292850482, 326189134, 1318384, 433683170, 139756375, 85409158, 482495115, 86105280, 953766857, 865660328, 864068715, 544849156, 128025501, 646974126, 493544680, 844886936, 260020809, 752600284, 43981352, 142975231, 243620670, 193165150, 81455163, 300993663, 963173223, 489571981, 223412268, 879020020, 744671328, 8907576, 631763891, 604118258, 113410065, 85615358, 699603607, 584611298, 167631489, 877166422, 419894572, 554977357, 989873634, 281267654, 890727650, 725305706, 832249429, 789560637, 154071715, 45193414, 259118072, 144183511, 500805668, 284826782, 803035000, 149381053, 51585313, 758087404, 948293211, 233249644, 307197673, 528850382, 792182019, 138378039, 257414332, 111689068, 210091672, 416491324, 212364906, 878523296, 844694257, 405824886, 220390270, 741245068, 156367045, 462636672, 889128327, 363087579, 581015736, 158426910, 38647123, 771373102, 768191721, 510189291, 928850788, 759799806, 630742897, 380576686, 769234974, 527795458, 780818583, 727490968, 496082124, 133117146, 153765930, 648711758, 738668523, 427529453, 389405853, 982584657, 647088142, 43824915, 878607235, 216624689, 468469046, 611711331, 457264071, 350226589, 375783123, 638800972, 397289266, 767026171, 296649396, 35181350, 264547169, 38656502, 519598010, 449528810, 346145217, 922839646, 241269578, 202810451, 782362865 }
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{90,91,39,85,17,62,75,21,21,29,42,10,70,68,66,1,95,15,14,40,87,2,30,60,73,41,47,91,37,5,21,64,34,69,79,83,53,58,24,72,90,37,76,60,40,93,11,97,23,36,29,24,42,29,98,66,92,53,65,70,18,87,43,38,95,84,70,69,52,45,23,49,89,11,73,79,80,51,34,48,1,47,54,88,58,47,62,97,82,65,31,14,13,30,92,95,9,66,56,9,20,48,82,53,13,96,20,28,77,5,99,60,27,11,86,9,58,34,46,0,52,13,93,99,76,67,49,60,31,34,67,17,67,95,10,63,37,3,84,53,60,80,77,82,38,78,69,58,52,56,9,91,48,52,64,96,35,95,32,71,38,73,35,87,76,78,66,89,65,20,5,92,37,2,7,91,20,73,90,31,33,33,51,86,8,69,37,0,40,21,39,68,48,68,51,5,66,46,11,35,31,26,7,23,97,41,68,11,18,32,65,38,67,69,0,95,99,51,6,58,77,44,62,50,42,47,42,40,28,18,66,87,54,49,60,81,70,78,31,12,19,85,62,43,1,63,2,58,75,0,4,70,99,18,47,88,11,84,97,3,73,62,28,42,7,25,7,60,52,94,88,34,94,9,30,11,10,96,67,34,31,1,58,72,76,40,66,43,31,95,40,13,66,53,78,4,90,99,38,79,50,58,84,3,53,10,90,49,83,76,4,68,99,46,0,23,19,9,96,41,60,5,94,9,52,7,25,11,64,17,36,49,61,97,0,90,57,35,5,36,63,91,72,61,27,31,78,75,69,6,74,39,19,62,46,95,32,34,88,88,11,47,1,43,66,28,4,27,51,6,7,86,45,69,38,82,97,87,97,37,80,98,44,52,47,98,48,3,96,32,51,65,53,13,95,44,48,50,21,22,67,47,26,98,1,55,52,43,10,74,76,21,0,68,40,41,31,78,64,81,20,23,26,42,7,76,90,80,99,87,59,21,11,39,45,75,54,71,63,29,86,54,17,29,6,3,94,67,56,13,41,8,98,3,84,17,49,38,9,51,80,26,11,29,62,55,30,72,71,94,11,1,66,9,16,85,47,66,64,16,65,22,98,31,74,43,28,80,17,56,91,69,4,11,94,88,65,54,64,55}

{4,59,23,75,97,86,27,69,17,87,48,13,20,59,20,0,56,18,79,61,57,76,24,95,84,73,13,62,94,88,50,89,50,74,37,42,2,24,44,69,80,61,40,15,94,45,45,51,61,31,66,35,15,4,65,25,5,40,1,80,35,5,91,90,55,47,42,15,8,53,38,88,52,88,13,85,81,38,99,50,51,32,39,15,93,46,33,74,48,2,69,58,59,60,61,3,39,54,10,44,56,73,8,21,0,61,97,61,80,7,49,99,20,74,57,34,11,48,41,58,99,74,27,97,74,30,5,48,53,14,49,89,75,4,88,79,47,53,40,91,8,53,39,41,89,26,6,25,13,29,13,1,75,14,15,52,84,27,29,70,2,52,48,21,74,4,34,59,46,94,31,44,41,55,80,84,13,25,36,55,80,4,76,63,25,78,4,69,85,82,35,35,82,35,0,14,32,91,29,51,7,43,0,35,90,34,72,58,23,40,4,79,87,17,53,17,78,79,16,87,52,85,82,58,11,39,21,73,24,58,84,36,58,56,4,28,94,74,80,75,65,50,31,55,78,91,5,27,22,79,14,15,53,35,5,36,9,83,88,40,80,55,52,29,34,0,71,15,9,87,56,16,80,40,54,77,89,2,43,91,57,57,85,56,81,53,81,88,65,65,35,67,94,53,40,33,65,54,12,31,49,79,15,7,63,14,38,42,80,8,69,36,97,16,35,61,31,39,25,6,25,0,86,74,52,86,17,6,66,22,37,64,95,0,89,54,20,65,50,99,7,9,13,40,70,76,50,57,3,51,73,66,38,88,5,93,74,21,81,36,95,55,1,25,79,32,33,67,72,5,74,43,81,9,85,19,79,0,42,47,6,29,22,95,39,59,14,57,18,95,13,33,35,12,52,45,3,90,83,62,41,22,52,98,26,63,12,96,68,44,47,65,62,33,61,21,0,26,21,14,39,89,65,56,0,89,87,66,48,4,5,79,49,85,92,47,15,99,88,88,79,17,33,90,19,99,63,69,10,67,38,95,97,90,96,20,58,74,22,82,65,69,3,55,56,4,87,2,56,16,41,77,87,22,84,42,86,59,48,71,51,1,44,92,64,82,49,44,52,73,61,88,29,39,68,77,19,26,16,25}

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Returns: {18383633, 204336106, 762085710, 695057034, 11995167, 424071799, 381444698, 441693943, 686566211, 493666009, 84434756, 879461860, 759339449, 256170852, 375852719, 317326283, 437005363, 463183211, 31991685, 249546643, 368831006, 934105009, 315632914, 726114345, 166996512, 53033765, 668242453, 795696735, 706003179, 654463870, 283682292, 199926645, 538397415, 530189824, 141687096, 157091625, 521917449, 831710501, 524461470, 575784904, 887013015, 456897, 549356588, 977095594, 648200345, 203936706, 340889386, 162515713, 5006853, 452298804, 675537238, 595517467, 406113047, 186025743, 972431328, 949251657, 595923465, 475506161, 877362241, 354764258, 300281561, 619842481, 988497256, 265428570, 318779340, 42155009, 767763029, 893513878, 560592302, 706820890, 388299661, 686314964, 577205259, 705207512, 556285556, 3622826, 437760392, 327530165, 53590766, 37040488, 792191875, 803139403, 405870373, 381782358, 233973975, 26424615, 962574772, 668464630, 202740327, 805200479, 440418709, 396991860, 570026477, 920955656, 273209316, 102132363, 908099854, 670535241, 634493556, 136778209, 537982397, 624764245, 673863945, 844026165, 229494189, 190043274, 377811533, 477891234, 319139725, 965010419, 318346991, 273056673, 187085838, 63600878, 562777979, 759941365, 557284653, 389418894, 775071475, 639412724, 730810612, 432640598, 28990495, 142867961, 323693159, 403033900, 734191072, 194838117, 490525843, 81882242, 713643504, 222307131, 442497627, 780896188, 407586128, 768435812, 42818946, 92567194, 352571926, 465434250, 156968439, 849440909, 105329099, 513467124, 437866962, 704927625, 354266342, 182514264, 380326015, 281378998, 543979529, 587859847, 567089928, 637268704, 424877696, 905360367, 158591849, 697714420, 320317607, 977816332, 496499407, 508015646, 972429007, 128402423, 391844199, 924030801, 641408424, 526737139, 507974347, 343904061, 729479523, 205996585, 346791898, 670942890, 499348268, 236107565, 250635814, 457423999, 954089495, 540431501, 940665166, 631876781, 827416422, 793908058, 585841820, 459267105, 169930425, 225139700, 416003894, 591768458, 263606866, 529107452, 263089917, 581551823, 787869047, 897307960, 36262858, 575434710, 889198420, 323210302 }
{76853492,285499209,843572636,326503761,695943200,230459212,657260399,109183223,878667027,651650974,236954612,448750069,148755964,582953920,981007801,677310572,887752156,204473664,561957953,171914494,885322577,290322267,894701597,133694335,951784702,482136055,133067847,549994723,813579577,189115715,660349151,116693901,800386346,967279792,290586750,11700343,40549559,330285953,910631402,763916336,829646215,137797652,205499920,146177120,654049383,544702923,519421824,23533118,512569136,652925371,784838910,579297864,631725468,762448506,452852949,545714537,291399653,32220683,646852603,367397597,473953244,261851028,510466850,381547299,884164604,973717334,332773173,484322879,262789590,375427055,651473344,460469235,154712502,175729884,223776185,320631473,981590055,719086985,549310984,777062335,381681085,729166624,99056494,96146832,723023815,248447378,222266534,707419303,566667051,824990050,874159056,644939734,261388751,989382132,26594982,252161174,902646749,350547064,112521320,968332695}

{76853851,285499802,843573549,326504507,695943606,230459657,657260663,109183914,878667568,651651393,236955097,448750784,148756803,582954132,981008614,677310713,887752496,204474124,561958454,171914827,885323354,290322814,894702358,133694565,951785225,482136559,133068648,549995077,813580152,189115829,660349473,116694359,800387143,967280149,290587209,11700776,40549949,330286419,910631716,763916637,829646717,137798154,205500478,146177623,654049987,544703541,519422290,23533312,512569625,652926016,784839429,579298685,631725881,762448839,452853492,545715148,291400357,32221367,646853064,367398421,473953421,261851727,510467504,381548101,884164808,973717915,332773668,484323065,262790329,375427827,651473775,460470056,154713005,175730534,223776570,320632387,981590532,719087659,549311174,777062808,381681384,729167311,99057123,96147199,723024205,248447908,222267049,707419748,566667114,824990900,874159268,644940086,261389192,989382813,26595415,252161450,902647177,350547348,112521443,968333133}

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"WBWWWBWBWWBBBBWWBWBBBBBBWWBWWBBBWWBBWWBWWBBBWBBBWWBWBWBWWWBWBBBBWWBBWWBWWWBBBWBBWWWBWBWWWBWWWWWWBBWW"

{91,1,74,38,9,1,71,69,76,93,48,43,67,27,16,16,68,68,87,99,69,1,81,11,33,7,94,48,72,5,46,98,79,66,35,95,74,84,5,5,96,37,79,25,71,96,24,8,3,44,87,48,59,24,31,98,80,3,26,53,24,68,38,35,60,89,75,17,87,43,8,82,69,14,56,55,28,63,8,42,54,89,59,98,85,46,99,7,85,37,67,74,11,42,35,54,18,55,98,70,60,1,71,87,72,36,7,48,44,93,32,2,8,28,46,49,16,37,93,30,64,2,0,80,8,46,35,53,79,13,71,28,64,48,48,77,62,99,39,90,34,96,44,84,55,76,40,10,29,39,13,43,58,69,5,68,5,52,27,63,35,97,21,57,58,95,93,45,52,55,68,15,11,38,23,89,17,94,58,1,49,22,75,94,31,0,36,1,61,99,86,84,87,10,50,8,27,43,79,35,77,70,13,78,27,32,5,40,3,41,79,79,67,99,24,21,29,56,92,98,10,57,99,74,76,96,67,12,44,5,23,15,78,61,66,55,6,1,73,15,89,45,48,7,33,72,57,73,79,3,97,53,8,12,93,65,95,7,71,13,11,74,82,56,63,20,29,29,51,95,69,1,18,86,73,82,79,63,4,1,72,64,69,32,26,83,87,25,45,44,71,89,17,92,9,80,93,48,76,11,19,5,0,20,78,26,47,77,61,59,18,62,23,15,14,11,88,96,17,85,32,3,94,6,9,63,67,0,82,58,32,64,8,67,7,37,88,69,91,17,43,40,66,57,81,3,40,27,0,1,57,89,94,55,30,48,1,60,59,5,5,65,50,48,50,61,0,90,20,89,78,47,32,14,5,18,88,60,7,84,12,37,47,35,18,64,30,94,60,37,63,37,82,66,68,83,18,84,11,59,42,52,76,83,49,74,15,7,27,83,33,67,83,77,20,25,27,83,79,30,65,53,3,2,19,60,43,82,60,71,30,57,93,76,37,36,6,92,74,88,61,54,20,38,10,96,22,96,5,51,17,21,17,18,51,8,52,73,97,47,81,97,70,99,90,1,46,89,15,15,84,62,1,8,91,91,88,94,26,71,41,17,70,58,84,22,55,91,55,87,39,62,89,41,83,63,85,96,37,79}

{92,18,34,95,32,46,21,42,5,77,27,88,87,72,28,51,15,33,92,39,1,58,13,32,25,59,90,4,28,80,55,98,97,72,31,15,82,7,2,30,81,67,89,18,9,63,12,37,66,6,31,40,37,43,35,10,67,36,94,10,42,62,17,87,40,12,84,29,48,34,30,96,27,15,11,17,89,59,38,12,59,46,59,96,5,2,57,75,15,63,66,39,34,30,44,78,7,89,69,14,11,64,28,27,42,97,9,80,4,72,82,51,75,43,73,62,34,88,41,62,32,8,89,47,91,45,84,93,42,8,34,99,59,66,30,4,76,60,76,18,42,34,90,36,23,21,82,29,66,88,7,5,4,22,12,42,98,85,41,89,15,12,21,62,91,88,51,9,19,49,87,27,85,24,8,21,63,94,69,46,63,44,28,25,37,55,76,42,35,18,56,90,39,59,93,63,87,21,12,72,26,28,80,33,71,12,41,48,53,47,92,0,3,29,10,95,7,46,60,97,94,62,60,62,35,92,35,93,78,55,11,3,30,19,60,16,47,64,63,54,38,87,59,18,21,82,89,31,60,90,92,28,58,77,72,81,91,53,44,13,86,54,75,32,42,2,40,1,64,13,40,88,85,19,32,51,86,31,12,3,48,40,20,64,32,81,1,63,11,51,42,68,26,10,65,1,87,53,64,53,97,30,38,8,33,72,41,41,35,49,45,81,78,21,5,90,40,14,52,84,87,26,7,83,66,66,67,34,65,76,84,79,26,58,36,66,46,59,72,20,43,0,21,73,98,19,99,36,22,1,89,9,72,41,22,96,67,30,89,14,61,41,4,82,76,71,34,22,35,46,9,1,46,66,28,93,11,62,91,79,84,12,53,0,27,47,16,38,72,10,35,15,28,72,32,9,86,97,20,15,70,90,58,13,91,8,99,95,61,5,82,90,78,9,93,82,71,55,50,45,39,46,91,86,41,63,19,73,55,27,3,48,72,75,98,1,22,25,84,75,30,47,95,12,82,76,68,83,89,56,82,88,79,40,89,54,92,4,84,54,62,98,42,78,83,77,64,29,43,26,49,39,12,61,81,54,12,1,54,17,11,80,5,69,70,42,28,11,24,67,74,19,97,40,54,63,21,1,99,84}

{606443762,728248368,402333038,1003245499,736625256,265704228,743024245,364805643,824787968,882368740,178621608,736996189,949382541,464392814,337198407,676557835,1184075238,1351299710,690971144,1118192280,572140519,1060926368,423736535,451548541,606959636,873123499,1338723534,894964550,1504377372,276068253,91214503,0,430736678,791748277,791180208,799911152,492340915,614252951,785662585,478044680,429086651,737490771,70333122,293478523,463551322,877784830,1344783561,648940336,224278145,220905432,1285352737,928936012,394499602,1202890961,791180208,164229675,600397823,980927930,647459481,960249837,749746799,1030113801,780806417,704159839,934032697,1044764348,671529227,797256559,400919564,312646720,406180485,1263998729,349700440,892379364,992152475,352894100,587561255,444081109,434207447,595036762,713460073,794447212,0,908805501,346361388,1017271051,1195409232,480998186,934821847,123805219,398131666,619641477,399176874,704458874,1030395681,407404576,712445186,703232709,843387262,467396345,36293218,639403123,1010488098,222297956,489909361,416007543,616302841,565486524,150927778,1579707962,1074354450,413537118,670623143,1467612173,354691343,293108085,966111606,321372216,1570326447,292195574,978359950,347351172,796872887,370894205,455070590,701677220,1102823295,542207164,763730052,500173473,195288151,180535266,1364532744,865568257,409377817,529684574,587934118,1404238117,424167209,338125729,310670988,1104567302,449989846,1079675988,417653247,1288267268,1024726726,989288946,834274298,601539820,835192762,276648668,661712923,641117307,418541268,447803819,704995813,440099128,455011299,523442834,747953423,543694548,0,1043041877,131061391,387541816,940742272,485608025,558532710,903977484,1140281654,136344984,793818642,378187089,1055281103,1026318046,532683975,0,488785849,265704228,724187609,648722967,1073671007,1186281692,765387457,844082208,968327963,367333542,762592684,1003000689,95120492,384468572,232964068,1075535871,456068783,525135117,222297956,859853968,974431226,285436651,703818503,220992237,390871505,471629265,208546944,679847109,304032352,928936012,837876086,437735672,647643713,771349999,186392409,1727438659,1136766459,364327711,691198180,277110341,630054741,820017983,283130075,1043041877,1404238117,455874568,991475270,968378659,1190467646,1684835363,398722947,770904779,1030215330,1122421382,158012600,220663308,793433250,452869861,1032125495,639403123,625695721,711809369,595900008,214858199,153657924,712445186,1255140645,301292342,1135405187,118409639,588629304,1078760144,225350025,466876574,582306675,802466623,1579707962,307983470,671590186,757837465,535918704,0,1035298173,898494474,240725873,1443701016,265810106,338960979,1257233239,899768924,857680336,592721153,749748964,645816607,604884272,307551269,1521282018,511497708,1089180363,744105360,1285863157,146244631,429941792,281938808,627981061,978359950,1045470627,663237761,1014392359,388937881,205270750,390842288,505959139,1122477111,525611013,510030405,395562366,460124439,893017192,751729592,700609857,770938977,460039756,478044680,1295300517,21702055,471629265,272408519,437735672,687957707,762592684,308405910,210079378,621939121,866813742,1087916173,1161644559,753475857,440945830,135643057,509360057,506692037,354338920,774368009,340002011,828622523,472063317,313102276,0,318290935,1016030112,471864734,738675146,627342201,872209983,995916550,466248345,339359105,443676003,332844972,646258918,1023489559,0,974470780,189772936,300751916,990931662,462145861,470205420,577057576,1013542897,0,1135405187,364481793,919868000,1074937131,301464076,1168208015,332637040,414474502,807523665,1161644559,448591114,1196629089,234888257,731234134,526254200,665352505,318290935,198733121,1093527018,794447212,326355565,638654988,1166590675,683310149,1190963505,897796013,507199567,122278928,914061795,341008795,1207362993,557516573,818912883,240824141,217519135,1278058111,620374502,896169009,357806785,681036269,576782094,563758864,1314396880,791748277,1494620574,575658865,846363803,663668445,826377494,450565780,793475774,564703641,471864734,794548786,267467614,1154250627,1102233576,242471609,873899449,377301912,931033586,949514887,697333992,394973132,486768647,567706034,208546944,662227759,254335354,223316452,639290246,571500043,994100416,1337527090,531960158,480330974,504576474,600274830,803644125,208546944,976029189,1164428334,1579707962,761735670,765673822,834683299,863206293,538661648,1155156711,343055023,863852240,626985440,705675775,1640664356,756782433,620978280,1339147121,1031888334,626223080,880844274,564750046,675546837,1030603921,532795269,300671257,595871937,614273821,649945320,663668445,626985440,621939121,820017983,793475774,1053827607,958077547,1027079155,373698895,982162968,545913863,734925291,707472704,343131921,962370304,894307001,378633652,583488403,878888789,324198829,616453830,772833008,364724524,519663432,969971268,488785849,324250663,1005922950,420058726,379697097,656802162,949382541,619641477,815493022,501069800,1205325703,423482468,0,236843912,637558758,1232523466,341008795}

Returns: {76853847, 446043269, 285499711, 854403890, 843573060, 193066084, 326504225, 959643989, 695943200, 767452950, 230459618, 365615161, 657260509, 876113133, 109183791, 662284810, 878667058, 505323034, 651651129, 588449881, 236954933, 992468360, 448750556, 100472509, 148756799, 28777216, 582954021, 300862786, 981008014, 776710916, 677310572, 188029268, 887752215, 710431794, 204474102, 832917344, 561958145, 402614428, 171914790, 652087781, 885322687, 490277038, 290322701, 888957274, 894701725, 250349016, 133694510, 815631527, 951784729, 570532097, 482136129, 188958371, 133068509, 378711996, 549994961, 197058601, 813580035, 973457913, 189115768, 51019119, 660349373, 317460328, 116694359, 956558922, 800386452, 560368, 967279810, 310774290, 290587069, 341485618, 11700776, 270372455, 40549894, 264670854, 330286403, 404763619, 910631423, 907565860, 763916343, 85464935, 829646443, 667721337, 137798064, 154244541, 205500383, 567069806, 146177623, 173248746, 654049615, 658419057, 544703308, 209790197, 519422025, 886185798, 23533288, 477715437, 512569231, 55862745, 652925685, 24497947, 784838982, 621460775, 579298385, 342328395, 631725511, 750809112, 762448703, 557712781, 452853154, 675380895, 545714959, 821264325, 291400047, 935274055, 32221367, 739942931, 646852657, 154831174, 367398229, 47375925, 473953378, 89382233, 261851295, 782813926, 510467171, 175147160, 381547638, 477307431, 884164605, 895141963, 973717334, 514953770, 332773554, 741635313, 484322879, 988217540, 262790100, 957583548, 375427589, 372191413, 651473610, 914572273, 460469833, 316080293, 154712939, 127948055, 175730501, 897185425, 223776524, 5963561, 320632098, 392735149, 981590055, 291957924, 719087068, 260912824, 549311155, 364434624, 777062450, 374902207, 381681283, 490461313, 729166724, 578386512, 99057092, 373584442, 96147168, 608604529, 723023842, 661872164, 248447908, 693988259, 222267030, 909286734, 707419408, 261931772, 566667111, 489755033, 824990120, 397307259, 874159056, 428539098, 644939978, 283979632, 261389116, 506872222, 989382133, 872986239, 26595362, 919698116, 252161445, 562790931, 902646991, 833992802, 350547321, 370680916, 112521438, 952672370, 968332697, 999240441 }
{122515843,451194793,617121159,872673280,744660005,413498888,880182499,190960572,920956036,718140700,54502886,45288750,661048578,195471240,513960399,256193766,539612023,909829024,769803097,719443573,77338356,531002557,435612618,398763763,965482893,515763459,402038607,581897588,768993965,604619653,338557872,30696905,50177138,891245941,797713466,791696961,422015897,180359647,364082572,272903427,908923706,476719094,330521706,966973391,876639559,131312139,870262219,160279593,915243918,844860732,653406264,653242370,880912892,507996077,70597850,887949691,617279943,34444228,939333076,841457248,543971981,263088771,58489109,444036263,742091227,281988611,186712977,295054462,626853703,165178923,613774425,153951159,164952324,213685286,451709521,696716775,593254054,908987504,862557190,429612205,677568916,733051025,301744833,691203969,54334908,211865471,269963816,487434786,74683853,42333806,20421575,659070583,835755632,625550132,997787541,615655973,617340855,732143131,600189864,793588461}

{122516373,451194919,617121624,872673829,744660601,413499524,880183013,190960996,920956777,718141426,54503205,45289281,661048985,195471605,513960582,256194646,539612474,909829277,769803329,719443990,77338727,531003350,435613310,398764098,965483622,515763572,402038972,581897880,768994471,604620149,338558668,30697534,50177580,891246452,797713911,791697301,422016345,180360277,364083125,272904070,908924037,476719410,330521989,966974080,876639974,131312271,870262496,160280108,915244590,844861140,653406814,653243171,880913773,507996549,70598222,887950276,617280609,34444643,939333388,841457813,543972680,263088998,58489522,444036646,742091923,281988686,186713492,295054574,626854444,165179695,613774870,153951657,164952929,213685631,451710127,696717117,593254525,908988055,862557767,429612545,677569476,733051521,301744905,691204584,54335273,211865957,269964271,487435295,74684096,42334056,20421804,659071326,835756212,625550624,997788256,615656276,617341062,732143901,600190762,793588684}

{435057153,349037133,878521096,458759315,227852229,279060664,869223537,968083198,395863688,398857562,826361967,351630238,316998333,901102422,893203374,659393414,586403463,690849711,378402689,110789331,761322550,995381203,506651629,673313512,843481925,314575503,569709696,812043614,907014871,920612127,859336151,418265918,537531160,816451140,154427287,21834221,877168907,156649673,864683281,192878705,508305205,429446217,78567146,483642714,550165635,707671260,972711296,412762727,733219392,734611607,917216926,783519179,32052967,419376208,151412214,778364297,902137836,510531690,211672368,962293129,343553711,385251843,166179335,756810194,478233808,444766014,919259709,893573284,951525334,952430863,123723591,24787842,969373073,677078560,320695073,749738681,989822554,124230551,759643774,236232253,908684347,141761150,370269545,598750626,743126237,965189325,471086328,603261847,411551536,904566738,825960145,104334153,792074295,530238969,468758008,530605054,878648378,527795823,689832874,471391172}

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"WWWBWWBBBWBBWWWWWBWWWBBBWBWBBWBBBWBWWWBWBWBWWBBBBWWWWWWBWWBWBWBBWBWWWBBWWWWWWWBWBWWWWBWWBBWBWBWBWBWW"

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Returns: {122516367, 435057261, 451194919, 349037133, 617121396, 878521146, 872673441, 458759794, 744660123, 227852581, 413499259, 279061167, 880182796, 869223555, 190960866, 968083297, 920956171, 395863828, 718141186, 398857694, 54503204, 826361967, 45289162, 351630387, 661048708, 316999152, 195471604, 901102422, 513960460, 893203500, 256194342, 659393760, 539612385, 586403827, 909829024, 690849711, 769803223, 378403079, 719443990, 110789380, 77338643, 761322567, 531003192, 995381221, 435613007, 506651946, 398763877, 673313518, 965483216, 843481934, 515763524, 314575665, 402038747, 569709807, 581897661, 812043686, 768993966, 907014871, 604619748, 920612160, 338558432, 859336385, 30697495, 418266460, 50177567, 537531386, 891246288, 816451140, 797713490, 154427415, 791697300, 21834556, 422016345, 877168907, 180360050, 156649820, 364082766, 864683321, 272903722, 192879262, 908923797, 508305318, 476719277, 429446689, 330521828, 78567251, 966973423, 483642917, 876639801, 550165977, 131312260, 707671703, 870262219, 972711296, 160279994, 412762797, 915244008, 733219569, 844860768, 734612022, 653406450, 917216962, 653242989, 783519651, 880913038, 32053268, 507996213, 419376671, 70598222, 151413010, 887949716, 778364485, 617280452, 902137854, 34444621, 510532193, 939333082, 211672765, 841457659, 962293129, 543972441, 343553808, 263088917, 385251923, 58489522, 166179819, 444036366, 756810261, 742091724, 478233940, 281988637, 444766290, 186713478, 919259722, 295054500, 893573284, 626853861, 951525343, 165179434, 952430897, 613774451, 123723682, 153951449, 24788463, 164952886, 969373116, 213685580, 677078766, 451709862, 320695296, 696717108, 749738690, 593254198, 989822698, 908987982, 124230748, 862557235, 759643820, 429612449, 236232877, 677569005, 908684404, 733051258, 141761292, 301744905, 370270083, 691204198, 598750754, 54335273, 743126473, 211865867, 965189334, 269963988, 471086750, 487435258, 603261884, 74684085, 411552274, 42333994, 904566801, 20421795, 825960495, 659070880, 104334631, 835755667, 792074579, 625550288, 530239421, 997787650, 468758144, 615656028, 530605109, 617341020, 878648626, 732143154, 527795993, 600190366, 689833134, 793588629, 471391675 }
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"WBBWWBBWBWWBBWWWWWWWBBWWWBBWWWBWBWWWBBBWWWBBWBWWWBBBBBWBBBWBWWWBBBBBBBBBWWBBBBWBBWBBBWBBWBWWWWWBBBBB"

{67,18,0,67,38,93,36,55,34,64,56,87,73,54,62,13,12,67,12,28,67,84,64,73,17,90,76,8,39,36,84,45,6,57,93,15,18,43,33,46,88,37,95,23,52,63,84,42,69,72,60,6,71,39,31,8,14,9,2,2,4,8,14,6,32,90,76,32,91,37,10,29,82,89,89,20,52,90,69,28,82,83,56,76,87,25,23,64,90,77,72,57,22,69,9,29,53,22,18,83,85,63,91,62,38,54,5,55,79,12,75,10,48,84,96,89,46,27,94,42,76,57,86,68,7,92,7,5,99,2,86,29,86,32,27,3,15,84,57,8,92,41,0,85,45,13,11,68,31,89,93,55,12,44,36,24,78,3,96,23,47,87,94,58,68,16,80,56,85,88,7,78,20,53,50,20,33,38,99,26,82,47,2,43,0,77,56,62,63,8,52,80,97,85,12,4,21,48,83,46,9,75,28,6,87,69,57,76,69,81,28,39,48,30,79,25,16,17,75,20,92,3,86,74,8,38,68,51,13,56,60,86,21,6,86,1,18,75,23,43,5,34,10,38,65,99,44,81,69,2,53,49,26,70,90,82,85,20,9,28,58,79,93,85,11,41,73,24,46,14,76,79,66,30,79,57,27,50,99,72,85,52,70,47,52,21,98,21,28,77,56,12,68,79,39,84,90,62,34,99,47,17,1,39,12,76,77,59,58,83,48,26,87,70,26,18,66,33,33,79,67,15,50,88,7,58,18,57,44,93,24,44,92,80,40,71,35,38,65,4,73,28,65,32,77,95,48,9,28,22,11,63,55,66,22,21,22,13,69,61,54,20,80,8,43,98,48,73,64,18,42,40,91,65,45,84,65,26,62,99,9,20,81,7,27,14,9,63,48,60,22,5,61,42,46,5,92,34,70,18,40,23,11,83,83,6,61,93,46,92,49,31,36,81,19,60,90,38,22,64,23,65,38,74,11,44,89,52,62,95,95,74,14,48,24,13,15,51,97,15,76,13,67,41,73,11,44,1,35,96,65,12,66,40,70,63,19,27,99,54,35,34,37,41,53,62,80,77,91,8,43,68,75,38,59,90,88,10,83,95,81,37,56,41,12,62,47,99,61,12,76,27,26,90,16,71,41,78,92,33}

{46,76,32,94,18,63,42,13,50,42,77,96,75,74,27,57,2,83,35,54,5,64,89,29,89,15,22,44,69,13,31,37,79,90,45,64,46,55,69,53,86,82,86,14,41,2,99,52,20,19,27,47,77,68,19,90,82,15,38,3,19,12,57,65,59,64,54,9,9,89,83,57,86,16,0,91,93,89,90,53,92,99,29,16,34,5,9,1,12,44,41,37,40,35,77,28,6,67,23,1,39,2,45,31,40,50,67,6,98,30,81,70,88,68,95,76,3,59,92,20,27,8,66,71,75,40,35,10,68,3,2,24,42,23,33,52,75,43,7,39,29,11,0,7,0,46,52,63,99,98,18,12,54,12,9,56,17,7,62,46,76,62,33,77,79,44,25,76,85,13,37,70,96,66,27,16,40,43,28,74,69,36,67,6,51,98,1,30,19,78,45,75,7,79,92,21,17,25,1,22,37,85,82,7,83,36,48,36,62,98,44,45,86,23,15,5,3,20,75,84,42,42,43,70,44,15,72,42,10,49,66,91,29,65,52,49,90,52,15,2,61,98,3,9,76,28,68,73,88,13,77,50,48,77,26,99,29,69,24,39,35,21,7,37,17,39,29,21,60,93,63,76,13,51,82,51,62,22,72,41,91,40,6,37,33,73,35,23,9,12,53,54,46,69,77,8,61,49,59,87,65,30,49,14,72,63,73,35,44,81,21,86,30,8,38,26,1,85,60,82,71,19,76,48,93,44,44,71,9,2,8,39,26,33,70,93,47,46,27,98,91,29,36,53,48,94,3,29,35,36,79,96,2,5,21,77,42,93,15,0,68,43,91,31,32,73,87,87,88,46,3,1,45,41,75,27,75,32,86,73,37,25,44,32,85,52,74,52,3,75,93,53,24,79,9,71,89,78,16,16,74,93,4,51,61,99,65,62,25,6,10,48,58,30,98,82,74,51,41,89,1,89,77,44,44,10,12,42,27,90,29,62,37,90,19,89,9,55,55,53,19,1,78,70,97,45,12,43,77,74,83,97,10,93,8,52,13,42,65,35,32,94,55,99,47,47,76,68,27,28,10,99,53,72,89,2,39,53,60,97,92,55,50,4,1,81,59,35,85,2,60,80,94,55,44,70,16,2,25,41}

{670950235,374505032,673425773,274479043,1064308941,788564694,807294502,659632721,1479278627,751406821,320717782,880154069,791502198,969547233,595028265,502658416,119632897,753067575,656308093,993309784,523200793,958255479,1194161917,474455108,608629828,1330857023,133359674,995269072,458674949,895414242,998386856,369997957,1029258778,608841638,693434381,867300342,512531370,194349824,1013347985,802619650,488637464,690831395,526045571,597658989,199447699,1034669371,490679472,723618743,959161276,386209994,124138524,870706117,709915069,540161572,755302186,457299212,883796677,884211973,1722527239,1306654793,1013669218,926154724,753265505,474125959,548716652,989330727,727553747,897719473,1100695554,458901959,160308376,854728014,1345857796,371018640,737175921,861215866,1030908305,208838610,1029577900,413426287,1229138041,282606672,367239677,755922578,1464971977,103125045,254162332,856404996,1383453932,327613385,1039778940,427253850,115377918,637089556,621128462,820567679,332052140,301180392,378817497,276722733,515899740,1034669368,718521915,380307275,771849484,571346645,523200792,374237440,119719462,67091557,545533815,623081422,250098220,1040353396,822722641,981922489,173872604,568234887,457585878,418835684,459816926,891383424,516375080,743689702,574516619,201002740,205797400,684558610,549673924,1306654798,721202159,649392332,671173268,688530785,513302154,849349703,1243128013,604752348,516114907,516266683,813766186,1139969133,0,543282530,566046840,167862880,1339416827,1025635710,593822188,633740257,520217377,1033614779,950695300,804356626,924895639,397003711,352664771,630127388,736963097,858733324,1248731788,642133336,453606396,807125722,1074980173,741277335,963536434,330394059,1,314276493,88861060,530047214,685456089,195966559,910039658,232596655,135530811,539243531,959070186,560006326,609762242,851489325,825863711,568587262,625802237,737802922,313771508,920352067,610673026,333675657,337473930,968641003,366847223,1109561018,1196361380,851822157,709563920,212596671,276722735,972130618,752171598,844392069,1479607959,192723526,627012089,306296777,265893812,924499866,522242117,900891744,330120054,390343827,737333970,1136466794,1636039210,103125043,194298279,584710413,2,340972037,554453506,391136827,462081555,1362348181,995269068,1714611224,475269244,404194562,387926687,622574668,398972286,1003550372,866482422,474125958,129586810,565830095,680554744,1056310088,1029119777,1183283712,211461487,1765592266,630920858,939653775,747371662,959070185,1019163957,1337036010,899242766,1003637702,658047416,593221907,962062625,272943594,842299543,520537770,527344978,959161280,204433172,809122438,392881155,445683299,275707764,495553863,781672819,528370063,474455108,1149466230,829861459,516401708,57892267,637173284,798810630,610754403,724997847,681318908,595028265,928170294,361461136,1039778937,844077828,166469602,684118909,725711261,235419605,1002500044,1152047485,1102818950,36604975,1070552655,337329632,950695297,601468944,1334760085,434619896,727854622,303177524,506807583,1014334100,344405422,501360131,1055069221,565830091,213311160,1088925189,57892265,511605537,400789321,540929695,496504255,902610555,704399916,1562485400,502402441,1226053738,246154461,557071485,551814352,482409203,724997844,509907010,1358327769,794810625,250098222,275707765,540929692,261875570,876685614,293515080,754644120,1126242735,479002388,655206993,803805536,575212399,506618688,883779995,552083243,862600691,1411100119,791187957,820567676,980598943,622594879,432664363,515477216,484652332,783962707,630707837,829104248,574414954,1158870068,988933891,1144237425,1216216245,690879185,672527056,248993587,346980444,423400347,355974226,857673280,379603322,960141121,719583842,1249408457,488722900,948788172,568871015,512531370,391136830,662147317,718521919,732375317,718836158,1036422044,162221623,96174372,611805109,612957618,752171593,611004597,1353028537,212827545,142695695,514506595,852672869,242343618,484652333,862949244,979816621,981240151,573219352,728437259,1067922019,1033107801,997208606,770685727,202137717,842734771,1014210583,866419329,716965702,696625631,724483673,503952532,471703579,366657720,491772481,536984044,857246036,847594527,525522583,962213948,397430903,1204942431,1402305870,1211203837,148356013,1194161921,664127933,234550826,696655479,823208563,1090601466,994470740,1174615327,723618741,595028261,852593766,160771952,884453895,326011660,596845275,735174945,311014413,884211973,477610483,900961053,609087373,668565292,241739145,558136708,542234301,831879872,1001942901,804356629,543835776,414244567,646433162,252780095,354361077,816894668,864438705,502402442,242343615,362606088,654396419,54057514,362601953,303616617,1003574070,511745179,678317807,1202758257,768932555,750320306,691550578,986773518,1325389121,958504970,549673924,883219678,678282941,528916635,1338773042,617186038,1012861226,911978801,518196719,1432678667,511745181,772207068,610049206,806579448,937593315,795725935,507021783,1026131772,119632892,428923973,607170199,505182989,765815944,741277336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Returns: {496653868, 803152568, 508749817, 415829798, 28451012, 134230067, 791494250, 677841362, 205573338, 309683006, 667388137, 844357118, 302078880, 475298423, 429356027, 409852307, 776271146, 267883887, 82579129, 862975489, 673002099, 165413087, 917970559, 314250610, 65927156, 52073319, 642990559, 523328069, 190433829, 411623999, 137206211, 33391011, 934155464, 729478300, 470183232, 648135742, 297946721, 522952539, 823122192, 705802290, 918897436, 512139897, 949344283, 417733532, 198917949, 883522729, 314254498, 885461972, 266066345, 883921345, 602186758, 806433639, 340151563, 319002954, 34556842, 701030828, 63465081, 880466339, 252080844, 248514742, 5006437, 58244018, 160934601, 612687845, 371851865, 254528948, 343168641, 905720511, 148746263, 12017787, 294007400, 480300944, 207701832, 63202761, 449922130, 478147187, 895768367, 989439436, 373027006, 380906106, 272065829, 841292789, 294528020, 830776844, 533060440, 545138469, 447524496, 898439849, 217737698, 704618994, 167768646, 565991217, 810325039, 522799697, 909939724, 212453906, 625108753, 996108007, 570376319, 920032696, 941803321, 698238418, 173511070, 500493545, 138886554, 874583047, 12616966, 517888619, 622501781, 446193535, 305822339, 845792262, 323491787, 544343276, 486163626, 869159419, 201963, 381225361, 538428929, 636668536, 112072321, 654408031, 822937502, 900269066, 456077890, 527524088, 351998696, 845351693, 25134828, 788619245, 723814498, 527688491, 29101428, 338406807, 302559972, 685984719, 631969211, 99686742, 461336054, 10540493, 733740597, 727755490, 133615269, 345022440, 855227486, 351697628, 103029350, 573918056, 85712296, 13435925, 867168863, 546555646, 322079470, 873324587, 514642267, 673910374, 553080453, 378368773, 946281912, 860353927, 192889964, 252193999, 945805228, 79658590, 872122190, 209516087, 684182944, 314540367, 962922754, 809086055, 86648286, 610426752, 100315917, 783566986, 871729208, 754005767, 588252473, 782866275, 861646177, 430969504, 863649893, 637804059, 445060353, 124761267, 373915057, 940446159, 606268169, 311057029, 527695685, 636641555, 245827412, 403033153, 705549096, 40032197, 416676201, 55685348, 992226013, 934129026, 711699233, 569630472 }
{7603603,1,3394,1,1,1,8311,9462104,439226364,1,671,1,1633928,1,277419018,17044741,367,1,963340137,69,70154,438,5689927,879345272,18,41531,1,21529,846,398164,142193947,1,1,29432,25474441,1,551,988537,8044,63128775,7,45748008,315,4194151,22897610,326289568,62545,1,495023,7340308,2389,924321144,28025753,8809379,31681056,1,6311,1,1,641012,1,97834948,299378520,652524,904595,7,415577968,6678666,3866,476215,4798,328,80450,1,6704397,1,120,41,1,3073828,3388931,1,158,29312716,353115,294568,14217,4825,95010,4240848,1042,1,1,872335,1,495842223,1,1,1,59944663}

{7603700,18,3395,6,352,10,8338,9462108,439226404,124,687,6,1633936,2,277419061,17044775,654,8,963340250,201,70162,442,5689927,879345471,58,41551,12,21536,847,398182,142193949,3,9,29453,25474472,97,556,988562,8120,63128952,8,45748161,319,4194219,22897777,326289598,62557,3,495049,7340308,2919,924321437,28025755,8809437,31681270,43,6312,15,79,641558,22,97835346,299378534,652659,904597,328,415577995,6679037,3867,476233,4807,344,81011,58,6704399,13,237,185,8,3074159,3388936,155,159,29312960,353326,294572,14225,4937,95048,4240849,1043,5,1,872428,5,495842226,46,11,40,59944697}

{325963446,3,1,1,25,7089527,1,4262026,39,26,854695342,995502166,1,433740,4,90680699,6903139,6971,104,5,23,1,1,1,1,4206914,5317,1,990900,2,698415,516737,757,1,66939542,73,540012,91801296,942716,7264047,685095,528143594,789037141,291,5,569,4416620,1,1,74882680,53096348,1,44,73622972,163216,99654259,9368,1,8337588,8352851,6688989,204801,93,534407724,32418754,1,6904,729174532,82076,524640,989279099,10,3945860,9436609,56220,1,74608407,3,1,1,1,1,66,358,76418343,7616,859162,325,9038,2,71336,48795170,230755160,594,1,831,1,713890,4507007,91173260}

{325963473,12,70,25,130,7089722,7,4262036,308,49,854695345,995502167,7,433747,195,90680705,6903359,6977,300,10,241,9,2,4,55,4207059,5367,3,990907,4,698721,516743,1202,2,66939559,87,540015,91801332,942746,7264112,685097,528143680,789037407,333,9,589,4416630,4,4,74882718,53096548,27,68,73623171,163217,99654259,9414,8,8337908,8352860,6689023,204802,309,534407725,32418866,5,6908,729174548,82553,524652,989279249,18,3945878,9437163,56220,4,74608539,4,26,1,29,189,70,398,76418343,7618,859257,457,9119,55,71385,48795185,230755279,625,3,863,313,713892,4507060,91173352}

"BBWBBWBBWBBWBWBBBBWWWWBWWWWWWBWBBBWWBBBWWBBWBBBWBWWWBWWWWBWWWBBWWWBWWBWWWWWWWBWBBBWWWWBWWBWWBWWWBWWW"

{60,54,28,73,11,67,83,56,83,76,79,6,37,78,56,46,80,12,48,95,12,83,95,20,84,7,74,98,6,98,74,44,1,90,76,97,11,0,63,29,17,18,29,30,30,61,20,83,4,64,24,36,33,95,45,79,19,70,61,43,64,13,22,7,36,99,65,48,52,47,45,47,14,43,94,91,14,5,90,77,1,76,93,66,81,53,82,21,62,1,88,24,72,90,65,45,66,68,27,91,27,35,5,44,30,0,68,49,79,40,41,5,58,88,55,35,78,70,7,61,29,89,5,57,51,7,53,52,71,50,32,75,85,88,77,11,32,38,71,81,17,5,2,20,0,4,91,13,67,5,8,45,35,94,3,92,78,82,31,46,58,34,48,21,10,78,14,4,48,46,55,20,25,27,18,38,54,18,52,80,63,18,71,26,47,36,97,24,20,83,0,4,16,31,51,7,49,0,10,65,23,92,23,16,27,36,18,34,96,39,43,40,13,21,42,17,37,56,91,22,21,43,85,68,4,36,80,85,26,43,80,24,30,32,49,58,21,13,23,5,0,74,33,36,84,35,82,50,91,82,75,78,92,84,32,50,74,4,73,31,75,69,2,75,49,13,47,24,74,90,50,4,27,31,91,80,23,10,48,6,58,85,10,56,89,36,1,52,11,67,77,13,16,89,39,7,86,69,45,18,93,3,75,91,3,97,21,35,20,82,49,95,21,8,39,34,35,69,66,37,47,19,70,85,48,17,35,89,9,20,49,56,39,41,47,91,74,27,33,56,13,96,62,93,87,87,80,97,46,16,16,5,34,84,89,30,41,55,72,33,74,69,86,89,13,28,25,54,38,82,12,2,19,27,74,27,10,52,25,54,48,88,10,37,37,87,92,26,29,59,18,64,63,58,75,47,48,39,60,26,12,83,82,50,32,19,68,35,79,8,83,15,49,95,29,66,70,10,35,2,36,99,0,42,7,66,40,16,79,85,9,61,93,16,45,80,93,94,51,91,18,71,80,26,33,13,44,85,46,87,97,32,11,77,77,7,66,7,35,58,21,77,39,43,51,97,21,28,7,33,74,97,27,35,50,53,80,65,35,61,29,31,14,89,55,36,46,68,23,84,66,94,27,16,87,33,80,59,73,16}

{53,65,84,25,9,31,57,68,46,55,60,51,48,3,16,44,70,35,19,63,47,27,98,2,10,30,8,23,10,52,27,53,74,74,14,22,15,5,84,76,24,89,70,17,85,99,82,4,35,55,83,59,96,70,48,59,25,67,14,70,72,72,19,85,17,8,35,4,80,93,88,50,54,52,68,17,10,26,87,87,89,41,31,89,37,83,74,8,89,12,91,41,17,98,65,23,22,59,81,55,47,82,90,0,89,21,11,54,89,60,65,13,46,0,75,28,35,94,32,12,75,31,64,22,54,60,31,71,6,4,1,17,41,98,2,41,78,77,57,2,60,75,33,61,13,35,80,89,87,16,72,12,56,19,14,37,56,99,46,58,46,63,1,23,15,29,87,36,74,44,76,80,89,7,79,1,22,72,31,58,26,15,85,59,83,12,29,1,63,82,14,65,64,98,17,76,24,46,77,44,31,9,56,70,98,11,7,60,33,42,22,0,60,52,16,54,98,88,20,31,62,80,4,76,56,45,21,82,18,24,40,9,76,59,87,11,18,59,94,9,2,80,4,93,61,85,17,76,24,11,40,3,19,53,12,68,78,80,70,16,51,45,6,94,43,99,50,79,58,4,0,88,77,4,20,15,51,60,3,24,94,79,65,9,60,13,93,30,2,55,71,1,56,76,10,12,99,6,24,73,86,2,46,97,66,4,60,74,0,25,46,0,45,8,14,18,27,84,3,30,6,25,53,28,80,45,9,62,82,24,36,77,36,18,47,38,88,43,43,25,1,74,37,21,74,79,11,97,27,36,37,68,14,86,57,45,18,53,89,48,2,4,39,50,75,29,15,81,66,66,97,59,91,99,94,92,77,85,28,8,61,24,93,2,87,60,40,60,47,78,47,93,78,35,68,35,53,77,3,7,90,18,72,9,55,43,56,82,68,9,83,80,18,1,86,34,63,14,40,42,67,12,82,54,96,44,26,94,90,18,83,73,9,18,32,19,8,68,58,40,8,69,18,47,8,71,43,28,30,0,22,61,87,38,22,0,0,81,29,1,74,78,7,27,8,23,86,94,6,16,84,67,13,61,33,57,0,53,49,64,44,51,92,68,10,84,68,58,62,89,34,57,59,88,90,72,48,88,9,91}

{75743408,31844264,75779710,5271384,995502141,735336821,29313341,75568,33666625,25045954,9763123,924313131,92294822,1,6899669,27251822,992663235,1634003,494981,1029596566,1633931,29291820,500348448,66984,778629443,136295149,432578144,883852528,854702976,32532765,6739082,87711367,6760607,6718508,352027359,6403807,921866231,326477543,458288816,75006481,6953,959099589,989672481,142885695,142590482,128859141,70152,29313325,57,68140006,29313274,8453493,29446,1485115692,325795112,10785781,4248514,266778794,179788514,993468168,29297014,3592686,5689863,13421949,533592,470454920,84,495066,24636866,872960,326202985,53098996,245901217,23831841,86396,48788217,1132113728,7084168,74730,5151,4240856,499282889,1388455,411344026,92789792,94126170,6760390,439226030,295137764,1633934,48881176,573891569,4019457,4436728,0,553056489,409894948,8907660,21459,50859076,21534,166,7019190,341257610,138651817,333566639,995423500,99060212,1166714,6003898,573891643,6655794,3983839,333463009,99654264,991660,84,989283898,13723376,96406214,398175,4757588,26233906,5689926,892803596,11889065,81915655,28025443,7983,53098967,748,6979,573589465,4593054,3297,513106535,763,950746,343,3319,6682017,7089528,26043,97969767,333133337,57,52184113,4674589,735848310,186753,443091614,324656226,15634,74,277419058,139942366,15714,151117746,3962434,3983839,3983839,492290098,495052,879345030,781058736,398177,277414657,540534,6265571,27251822,25045954,3318995,8406371,13702599,960266303,950838,26154343,967205132,28542448,11726835,535054904,1036975775,301828,8988688,29313354,2173386,1112061,71,534989894,29313128,595778908,29,26419927,3990317,924328407,79808379,82222906,329087904,854695910,22897769,879862211,230755136,879348568,982380383,4528590,994962705,958139763,85725030,29446,844901665,1496059,332881977,6255246,28025359,782134056,31837299,88282809,89094,48865118,6206666,299378173,805539,302155,74529636,15691,326828442,3388493,301958,963345196,4194392,4074023,53,216103528,8993299,82217734,987164264,963339998,8560314,879345470,7089509,333563685,3371683,29458,1411175,173695771,302098,7059,21514206,48795162,995502254,685098,1,230755223,11251620,1634682,53015430,6760610,3388956,979846990,6386774,924321428,326337402,4921,8,78028514,150684230,53098996,3074153,14986080,72383,280468083,104041,21437,516718,48865118,104336536,44975966,848007023,495040,8323,8337908,2787183,854696005,15693,10929835,106821,872951,114866867,995505558,636199302,255,433733,6899669,78849149,910559513,12090202,150244525,992566,326290077,972776748,1716729,3389,4479167,48081298,415584870,713867,6689428,6760530,333496701,4248362,77743811,814201241,326289717,0,221554215,1004804918,21610,76016807,415584870,232308021,8315,4248514,924460694,1277008,2893890,326295952,59,295137764,199,70298,81682423,15619,69852493,1445735471,0,47860539,6656546,4172938,4165037,4232868,433733,6760523,390191220,872520,6755364,3069735,998891099,0,4457641,6363306,85886352,7010854,318884135,75898009,4240848,184793755,1445735471,34840648,8106139,465610,6757222,1000852,69519609,57334943,433750,1388235,103476881,31844195,416505708,415584649,2347807,8990662,48795242,151096438,6760616,230776693,854695910,27738755,3256842,407708482,97545100,103990,855566385,92786473,92784615,6693388,230070071,6683632,398183,8994050,963340438,32450482,535060266,8337824,86388,86,81937351,70392955,6688993,13718765,1704255,934027278,4026202,53098969,99653503,4194398,75568,166,3152801,439226443,0,104336536,1030882212,495843049,1243194,457036145,455519126,1132113728,685016,789040215,735312999,149484041,333566853,820554663,13724040,392687100,679734,6903515,3144465,963052888,29313327,107067451,872933,970242607,326289738,3388871,438354608,86396,932659338,48110090,524113968,1000525,959951505,5368,439197035,434064,18703893,1277008,145849289,333561827,6403807,98039388,995506566,950746,5689830,323559928,733930918,13724058,398257,8337899,6760176,95,56668923,4172938,485095114,880059352,873007,991746,13715818,6932202,82713406,735139666,455274,98040059,53123531,82432383,330178146,82432390,82222900,129144793,22499592,924838177,508174218,4319513,755041751,76230893,4392779,8259236,579967045,80306075,457036145,13,8972522,6988763,74730,3996993,2893890,8889986,9436883,41892413}

Returns: {7603603, 325963446, 2, 11, 3395, 5, 6, 5, 13, 34, 9, 7089527, 8311, 6, 9462106, 4262027, 439226364, 106, 26, 49, 671, 854695342, 6, 995502166, 1633928, 7, 2, 433744, 277419018, 47, 17044764, 90680699, 375, 6903142, 5, 6976, 963340137, 299, 71, 9, 70157, 223, 442, 6, 5689927, 2, 879345370, 2, 33, 51, 41546, 4207036, 9, 5365, 21533, 3, 847, 990901, 398177, 4, 142193947, 698721, 2, 516741, 3, 758, 29435, 2, 25474469, 66939545, 9, 83, 552, 540013, 988537, 91801330, 8076, 942719, 63128822, 7264066, 7, 685097, 45748008, 528143633, 319, 789037142, 4194171, 303, 22897764, 9, 326289568, 589, 62557, 4416620, 3, 3, 495043, 4, 7340308, 74882680, 2452, 53096546, 924321252, 4, 28025754, 47, 8809384, 73622994, 31681056, 163216, 5, 99654259, 6311, 9409, 14, 7, 6, 8337902, 641205, 8352851, 3, 6688989, 97835258, 204801, 299378520, 95, 652550, 534407724, 904595, 32418847, 13, 5, 415577968, 6905, 6678852, 729174540, 3866, 82532, 476224, 524645, 4800, 989279100, 340, 18, 80568, 3945860, 58, 9436858, 6704398, 56220, 10, 4, 226, 74608526, 99, 4, 6, 6, 3074136, 1, 3388931, 4, 155, 80, 158, 70, 29312939, 379, 353115, 76418343, 294569, 7617, 14218, 859237, 4827, 427, 95034, 9040, 4240848, 3, 1042, 71370, 5, 48795185, 1, 230755160, 872335, 625, 5, 3, 495842223, 839, 46, 49, 9, 713891, 19, 4507039, 59944663, 91173261 }
{47013,160,1,175014581,580,9046,551,238,64572,1,1,1,1,87039010,101137,1,13,881448509,1,58,47067,8396,44869969,85485,46,479479,1,3418,1,46017,1,556,80842,39357898,24119984,424129,581431692,1531,67420,37,1,33923267,4,7,1,26685,15963,14286143,1,6507003,614894701,77061562,32,1,125,284020015,208,1,8,926816034,927208,1,1082159,6379539,52833,6533920,1,578633226,76908,558382,5540128,616471,243397613,7167287,4083057,68754871,1,7,53,6416357,463740061,6088790,1677,251181,977017444,648753542,512438786,443997285,400327896,6992990,4616,6417071,2119010,58,95,3844541,5376246,931882,512081,1}

{47201,162,9,175014666,597,9225,554,271,64623,3,2,67,8,87039023,101148,264,16,881448648,6,177,47077,8417,44869970,85512,62,479485,372,3419,12,46102,2,562,80845,39358029,24119996,424446,581431696,1708,67865,63,6,33923270,4,11,3,26769,16203,14286157,484,6507010,614894708,77061573,34,2,156,284020474,213,8,361,926816341,927356,2,1082164,6379565,52836,6533929,76,578633227,77272,558580,5540200,616760,243397639,7167377,4083091,68755186,116,68,71,6416404,463740317,6088980,1677,251213,977017480,648753552,512438960,443997308,400327917,6992996,4757,6417071,2119014,70,97,3844612,5376662,931912,512227,9}

{5959407,676845098,6292,3,15,49321,1,1,9310739,251,674076994,2,810,306694,933414675,8437363,404,465813276,82453676,791427754,890178147,8737,102,351049033,4596169,1,533140,893,901,59249,94,16576,1,250429624,388108,2457745,59746,4717646,1,640,89103727,714559395,1,59251,47819,29,1,521,19,8447288,1,360274762,32107870,281967,51,1,344,506,850040162,75054830,439781726,505594,51055388,32241113,290,86134,3,4654660,592229,1,1,583819,822341,6705,1,533027054,2627,12,1,21059990,19989,3,20,820623,97811815,73415672,2010,96192059,6195,248064180,2,52257083,1,1725,1,568,45000545,5010531,68983,1571}

{5959411,676845139,6293,100,20,49348,29,13,9310782,364,674077149,33,995,306716,933414678,8437380,409,465813302,82453753,791427789,890178170,8788,147,351049196,4596170,72,533466,894,902,59283,110,16648,11,250429853,388219,2457893,59808,4717767,17,689,89103991,714559401,49,59496,47846,33,4,825,39,8447623,73,360274765,32108007,282167,59,55,345,510,850040165,75055026,439781839,505755,51055398,32241125,568,86259,8,4654702,592484,28,5,583901,822392,6720,4,533027071,3094,72,20,21060108,20015,6,30,820652,97811816,73415745,2019,96192291,6374,248064218,8,52257461,5,1751,12,656,45000928,5010603,68998,1586}

"WWBWWWBBWWBBWBBBBBBBBWWBWWBWWWBWWBBWWWWWWBBBWBWWWWBWWBWWBBBWBBWBWBWBBBWBBWBBWBBWWBBBWBBWBWWWWBWWWBBB"

{58,41,39,17,44,94,31,49,82,28,42,93,9,93,97,88,35,96,64,12,64,48,23,12,75,69,49,43,88,83,83,35,41,61,10,18,5,36,35,45,29,60,30,86,26,19,89,74,27,41,21,16,64,20,28,6,86,67,60,36,35,22,41,65,8,70,33,22,57,76,3,16,6,38,15,43,36,96,74,23,85,82,58,79,52,60,45,51,10,99,42,2,45,47,62,46,92,54,6,67,68,84,73,21,1,64,31,87,39,83,82,58,38,57,38,34,72,62,56,36,97,81,10,0,35,89,45,83,96,5,29,38,87,47,31,6,65,4,99,8,45,78,93,16,57,29,49,91,8,59,75,29,94,38,55,12,71,6,31,98,91,72,27,40,59,83,98,80,7,50,14,19,83,16,58,36,1,59,68,77,82,52,41,6,77,54,55,83,64,81,5,93,41,59,0,97,60,98,86,39,75,89,38,40,6,47,65,40,81,61,70,76,58,41,49,35,96,60,83,72,5,44,43,71,44,27,82,95,70,81,91,94,96,13,51,54,5,85,29,90,93,57,14,57,44,58,87,3,98,84,9,67,24,60,78,50,88,62,86,32,92,59,83,60,92,25,35,9,91,76,30,91,62,32,56,55,36,29,87,45,86,14,16,31,78,18,46,96,51,33,75,12,53,35,72,9,85,54,87,61,20,41,63,48,57,32,56,6,64,90,62,42,81,44,64,59,33,79,11,48,36,30,90,63,23,75,68,24,18,17,67,40,8,51,60,85,37,28,98,54,36,74,66,39,87,51,31,12,55,72,66,46,85,15,11,82,30,42,91,80,35,44,68,5,24,47,89,58,41,36,92,56,16,62,52,59,44,67,48,88,37,53,50,88,53,37,30,59,18,23,2,61,57,6,40,12,38,37,10,32,71,6,46,93,84,39,94,56,32,72,95,89,39,66,78,37,97,21,24,3,41,80,61,84,10,80,61,10,61,15,3,91,58,25,96,40,99,97,87,0,50,46,8,74,56,22,2,8,90,75,32,29,6,87,14,39,54,68,1,57,4,15,6,96,37,62,11,72,97,27,0,55,26,81,58,39,15,16,1,33,56,63,76,54,43,96,95,34,76,77,30,13,76,70,52,53,48,35,62,67}

{71,14,96,87,90,94,95,33,0,99,49,3,96,79,48,64,84,89,45,26,1,69,71,14,54,27,1,75,6,48,33,49,76,0,16,55,0,1,19,43,94,45,24,16,56,6,64,84,53,79,28,36,96,0,83,65,71,84,98,28,34,8,60,89,63,94,83,44,27,98,83,68,30,61,95,88,0,32,99,50,41,29,95,95,33,94,47,59,8,4,21,0,21,55,68,5,91,77,54,99,18,82,91,27,53,98,18,86,93,75,7,32,20,83,56,95,47,21,78,95,85,41,39,5,93,36,23,3,65,24,64,96,53,91,27,42,44,97,96,3,14,65,34,8,26,47,9,77,8,52,89,35,18,80,18,56,32,48,54,60,87,99,37,11,89,13,65,91,97,65,17,66,30,32,80,43,28,3,25,93,14,74,55,84,1,73,0,96,0,72,20,0,8,54,46,87,26,84,88,84,73,81,46,17,80,81,41,71,63,40,3,55,63,17,3,91,50,78,43,32,56,50,4,61,78,20,58,99,70,59,67,79,62,26,35,4,86,37,30,58,60,29,48,71,25,63,86,87,56,24,82,44,40,30,0,40,58,4,51,82,38,8,28,50,72,19,26,55,32,91,95,83,35,32,43,76,95,21,96,35,5,78,6,68,23,46,39,70,94,90,20,58,10,50,44,19,47,60,58,66,80,10,36,67,32,79,35,92,56,56,12,96,20,93,74,60,78,34,32,53,33,95,16,43,94,3,22,50,32,59,14,93,19,81,66,7,92,6,17,77,93,60,52,10,98,38,74,3,95,10,50,39,14,31,79,1,85,75,91,34,77,31,58,25,77,84,83,90,88,53,42,14,37,53,19,26,86,17,9,17,8,28,42,37,38,64,14,89,16,22,4,64,12,26,77,21,71,45,99,79,45,26,42,52,24,48,49,62,74,55,27,18,1,95,2,95,14,84,32,23,25,26,55,79,25,15,24,28,86,74,66,29,68,17,92,95,66,15,99,12,80,47,93,50,46,29,99,73,51,24,77,85,34,12,89,78,69,98,13,66,85,92,16,32,99,63,86,32,65,41,91,95,92,12,91,66,37,66,26,40,75,56,77,76,2,95,57,36,64,3,76,18,28,48,92,73,23,70,81,51}

{850073362,252677449,50377372,807072344,53194,379,3860363,274833933,6005390,1251,14954617,175016906,50377315,27475337,5942622,400281513,1071947644,204680566,26927,532655,676897713,558709,350997149,933515655,601781964,556709,674904501,601722883,400334420,1072595,288716690,12073266,748480412,5500993,674077316,366474534,5948075,1258217695,789394351,86840,105951,440683006,4596265,512441135,533036,791428300,255004093,1070746334,285268,721006968,17087,581491739,50324208,884219157,1071398,6620127,512404620,491542223,440128556,581490823,25766105,54116358,307774078,248437602,29245886,5540072,288716009,44917904,4009,578804,175584453,668925,1196,574150,12282036,400381685,587284775,50296857,4084824,965859136,1255974492,104158,853884972,23631267,257680264,440709167,14260200,1134975084,664831492,2550,17741,6000922,27308,269735189,51468805,56311,56556092,207,1042,583286654,81938766,1074828097,53001577,13517,676563794,528870,82438421,164632465,1178,600710820,2157,850121072,890199031,1072144,68300,20663322,229933572,52120550,523,577646460,716227195,742394048,674077082,5948576,2880382,822443756,351108595,175584540,46073075,4556048,65776,50309484,539907531,60126445,18963,1073,6573042,5941963,50375685,184260837,933489788,6620050,24506940,9375565,533036,14299181,14954669,58674816,822,969763815,346725470,2776960,82454164,463692366,366474534,1239,1120496,803,17863,440128006,481515590,244219112,4719260,89104243,1092833423,87301896,6039046,509560482,5942541,608447065,1348949260,791428541,1072134,81498,1313760305,581432469,676844906,826857033,994721,2572,933514331,36191524,964656582,1074829056,676845813,7174136,289932666,49306115,5965705,238132025,890167351,6004721,739108052,1001871171,5990911,534247302,440176085,1074248684,112115962,1074829089,594608697,248969097,52543,1258158487,463760136,8198310,741863149,89137346,32531947,88598128,169474813,284023097,824179386,1096272192,176955906,55793377,654519490,440709245,1012854,244139351,58102,614942751,60847,695665,48566,890221620,850042181,3846042,713,995782698,619819095,27476970,10349488,87266122,434454781,1123,512477730,717450096,106065,850045088,440707649,105299,933515795,1200715,528082,824179267,164632184,365175170,581207,1070233367,2376,583240478,84507802,440709839,6007127,703998914,1250362058,52137562,795650677,79869,2051319,992495778,1071629,1053749413,242101756,791907503,2349558,284020566,58594240,58672734,3845285,57602710,49255945,786,59948,284023002,577646628,88199,489812550,2855254,512477603,933516342,1826,652733,351135447,82470696,16824,45165184,437337054,289783889,425859481,850039716,673795408,616928901,244172616,791428128,707883029,440709124,1197845948,506413,1353851502,74405802,607233517,583288626,81700,27395834,2881825,2118612,52751,5149,52136613,50378081,896220286,46308,4031311,1290616278,289788050,38375703,81143,282156,792443691,3845678,5284,38561817,351134848,639287640,45385746,619491554,82534757,436126839,1507292353,89102863,782182423,431247713,440709912,722169525,6835976,1984,1346681043,616,581490093,442938314,32108385,674077280,539609006,437269171,4099712,175016192,280176607,916652791,614894896,17423,1508652179,8421730,27477105,676847430,722170044,601782435,59,439989094,2882349,32591,849525018,519851,4596966,1060543356,253986182,850045542,1080957967,581654674,2119776,933515491,4719206,51855529,759319950,1001338436,512484856,763974266,592,946927878,4656391,281416,614894882,405037915,350608,4768986,933516371,1092833137,82453839,395833986,7657,558627,1142,534379,89104189,16186,1133559,4743690,674076015,27396385,1174194,534493,16206,32106839,1070233589,1427,14954798,52137397,4002761,41445164,3841899,172603472,676844749,3845339,7201,8560213,929235568,1074812617,4677560,525979177,748003225,464253397,284526250,1047353721,674556496,472157822,4091334,674076325,512943257,12520938,175014888,58569875,849525625,1346783206,48259045,92948100,1805,4359040,540188786,6005636,151175230,14271359,9374329,610812375,16570,44883562,5570,16406940,437332502,597185856,81565,722064521,24508440,540188664,692242928,985,558710,959022,763577781,979,722169074,10556400,965,50296637,4717869,24112513,512441067,244139223,10526840,748478843,52668269,280176940,2652539,6090254,804199990,1205,3721579,1232,676312563,200684452,601782175,38620699,2893,3138,53557,46532326,3845159,557640554,55569,175014909,3397,169186459,2130,5540359,34227610,7443289,351134730,7574357,56062858,857192573}

Returns: {47109, 5959411, 162, 676845098, 5, 6292, 175014618, 52, 589, 17, 9201, 49325, 552, 15, 256, 7, 64619, 9310779, 2, 300, 1, 674077072, 48, 17, 8, 940, 87039012, 306705, 101142, 933414677, 136, 8437371, 16, 409, 881448509, 465813276, 4, 82453715, 99, 791427756, 47068, 890178159, 8396, 8738, 44869970, 124, 85485, 351049114, 53, 4596169, 479479, 71, 202, 533271, 3419, 893, 7, 901, 46072, 59260, 1, 102, 562, 16612, 80842, 8, 39357956, 250429697, 24119989, 388164, 424225, 2457747, 581431695, 59779, 1647, 4717707, 67693, 3, 41, 663, 1, 89103765, 33923269, 714559396, 4, 11, 9, 59374, 2, 47832, 26729, 32, 16084, 2, 14286145, 673, 48, 38, 6507009, 8447455, 614894702, 37, 77061568, 360274764, 34, 32107938, 1, 282060, 155, 59, 284020209, 33, 212, 345, 5, 508, 185, 850040164, 926816223, 75054909, 927294, 439781777, 1, 505686, 1082159, 51055389, 6379558, 32241119, 52835, 429, 6533921, 86196, 39, 5, 578633226, 4654681, 77066, 592279, 558485, 14, 5540163, 5, 616637, 583860, 243397618, 822363, 7167339, 6713, 4083074, 3, 68755017, 533027054, 86, 2778, 41, 46, 71, 20, 6416378, 21060040, 463740061, 19989, 6088885, 4, 1677, 30, 251198, 820637, 977017462, 97811816, 648753548, 73415709, 512438874, 2015, 443997305, 96192177, 400327912, 6285, 6992993, 248064185, 4687, 5, 6417071, 52257235, 2119011, 3, 70, 1751, 95, 5, 3844604, 648, 5376352, 45000618, 931888, 5010567, 512159, 68990, 2, 1579 }
{1,1,557,1,694064,1,33,1,39717776,1,4076012,161,8006374,746157,7647066,85647,5555,149769,2738862,52713,3424159,9992817,482248,699,95132,238104261,1,9910116,275,74121200,1,1,1,8,8971173,70708,983728,9935,1,1,1,3,248,1,87188357,44,42434,45366609,297589250,41786881,9168480,832,9535440,1,3034,1,42,805833,3257,1,1,560918879,752,29,864631,30926,511225,4948,525215288,9,47676461,536988,6210459,304921982,6,35331556,39,58,6184166,84,243445,1098,1,1,42,263558,1,259931305,49763,3918,23481083,1,7742043,3667,1698540,2815682,619,36404,5251,6509}

{366,9,592,124,694238,60,98,6,39717845,4,4076129,216,8006496,746238,7647153,85648,5556,149788,2738866,52758,3424592,9992877,482355,709,95334,238104499,82,9910216,495,74121201,3,5,208,202,8971270,70721,983747,10216,4,1,12,7,268,19,87188359,45,42758,45366650,297589309,41786883,9168489,983,9535492,11,3050,8,59,805842,3437,1,176,560918885,785,40,864863,30951,511592,4952,525215292,22,47676462,537001,6210498,304922028,160,35331620,194,73,6184656,96,243694,1098,162,278,318,263571,1,259931594,49763,3949,23481091,97,7742261,3825,1698543,2815687,619,36424,5256,6509}

{70913192,8554,59560523,44595,1,1,9052081,1,350876850,825,326901,323291,67,1,36903516,6320,2724806,55193652,342294848,60675,75298,7026,33697383,226,1,24,162,220,270801033,756268,717,8019363,2813340,390837,78500,49,1,178,88,1,1,1,1,30802,82695068,350743,90,45,68429937,384,1,35016,19420215,718103748,417,150472,26244245,1,34,7161,959939098,40,63215,244027056,41081,1756,5757044,1061,5396,6304,19765860,1,6063,1,292621,5007930,889150,6836,6,1,1,395,74819463,8620289,313,2372,32959388,72008,7635,469,57487,1,348674,621549456,72845,5,1136327,7016,655,1}

{70913244,8641,59560528,44665,8,33,9052093,120,350876911,825,327145,323396,70,25,36903629,6680,2724824,55193860,342295178,60687,75318,7145,33697632,238,9,183,163,221,270801035,756698,965,8019741,2813429,390883,78502,153,87,186,95,1,398,1,66,31104,82695073,350867,103,46,68430171,593,86,35022,19420226,718103937,563,150780,26244255,1,37,7173,959939098,203,63260,244027090,41100,1944,5757056,1075,5830,6498,19765878,215,6076,10,292657,5008147,889156,6899,284,395,5,452,74819522,8620329,355,2400,32959620,72267,7658,740,57621,184,348678,621549479,72848,6,1136444,7512,875,6}

"WWWBWWBBWWWBWBBBBWBWBBBBBWWBBBBBWBBBWBWWBWBWWWWBWBWWBBWBBWBWBBWBBBWBWBWWBWWWWWBBWWBBBBWBBWBWWBBBWWWW"

{36,94,10,49,17,19,54,82,20,11,59,90,74,70,17,30,66,32,53,26,68,98,95,6,46,39,40,40,36,14,8,5,16,7,78,46,60,43,94,75,38,23,83,95,17,26,19,57,53,77,88,99,58,20,65,12,9,81,34,28,21,56,49,84,3,47,9,64,8,44,19,74,79,22,98,54,0,51,97,76,20,77,94,8,87,54,63,7,19,66,89,2,33,19,98,25,50,16,62,68,42,44,25,99,63,95,22,86,32,59,88,79,11,12,4,68,39,54,3,63,97,19,1,1,47,80,87,43,64,21,81,46,94,38,62,92,44,94,77,28,74,46,3,72,73,18,38,84,29,21,12,51,0,72,4,76,81,41,56,5,98,37,47,81,93,1,69,28,68,51,96,48,76,21,5,74,18,49,19,13,96,11,48,1,67,56,8,48,5,76,27,54,70,31,4,23,41,33,23,43,68,82,56,41,66,67,64,5,64,15,21,74,99,49,7,84,0,32,81,5,27,93,72,82,18,13,29,32,54,20,4,48,34,42,83,27,33,74,28,83,64,84,12,30,42,96,84,86,0,70,98,82,49,80,83,89,0,63,49,82,91,22,29,41,74,26,12,77,43,22,1,36,4,98,65,26,39,18,54,55,90,71,50,36,35,23,1,88,40,95,64,65,84,74,57,40,79,40,12,29,55,45,78,25,42,6,54,84,51,49,83,51,97,89,71,60,26,72,89,95,60,4,72,97,44,7,31,1,28,59,52,94,47,45,3,74,77,38,33,11,58,96,33,74,67,22,1,57,80,99,82,26,66,10,28,91,48,65,5,86,79,98,26,32,8,3,65,79,96,87,50,77,48,38,32,4,34,61,65,8,51,62,95,6,34,57,2,59,58,96,16,75,45,77,60,21,48,0,6,69,37,89,85,10,75,55,54,95,65,6,0,31,40,72,89,2,49,42,52,54,5,11,3,7,77,7,47,56,63,4,50,35,70,43,28,45,88,20,58,70,5,40,57,78,64,73,5,88,56,22,33,96,70,53,19,35,38,17,89,73,47,67,73,53,24,45,27,87,88,91,36,47,99,38,48,74,84,28,46,15,50,69,71,32,82,74,57,68,15,8,60,71,29,21,90,37,51,80,37,87}

{70,38,78,37,3,62,7,57,76,77,74,31,70,44,79,12,97,14,35,83,80,65,69,11,18,74,46,32,17,42,94,52,64,7,82,3,52,99,88,31,56,79,53,7,45,10,60,72,3,15,41,19,97,59,80,8,98,77,64,78,12,0,68,51,89,62,24,39,34,21,77,37,24,95,81,85,3,90,77,71,45,13,12,79,10,21,12,36,17,22,99,13,7,13,35,55,22,9,69,59,0,9,62,2,34,46,21,43,95,28,39,93,53,22,29,95,24,56,48,96,80,1,5,45,81,26,24,82,16,74,40,14,34,45,38,8,52,82,53,34,36,27,98,28,77,90,77,24,44,30,97,92,66,88,42,44,65,67,98,79,72,14,11,72,74,68,49,18,48,89,62,58,31,49,49,97,76,25,36,78,32,50,40,59,85,43,49,94,21,55,6,97,21,6,34,44,69,55,86,53,76,37,82,24,42,49,60,84,12,95,84,65,46,50,92,58,20,82,0,39,31,64,58,2,33,1,74,68,51,24,30,81,67,86,91,56,44,18,97,65,27,55,64,77,27,85,22,40,69,31,68,35,43,44,94,62,80,95,47,72,95,10,67,46,41,74,39,63,95,79,85,70,27,13,19,78,44,61,55,14,0,10,78,62,43,73,6,17,57,92,43,55,77,47,89,75,44,34,7,6,71,8,18,83,43,46,75,36,29,81,87,73,47,64,92,71,25,60,72,64,85,1,2,61,85,81,70,6,48,73,29,68,87,52,56,35,15,34,61,21,68,17,55,89,8,95,38,10,98,30,35,47,56,2,98,35,88,39,62,68,5,8,16,68,50,60,31,50,48,43,11,94,56,45,87,89,84,38,98,53,19,22,79,89,28,60,72,35,27,76,83,11,97,13,95,61,77,97,68,96,13,45,35,99,17,75,63,38,61,21,44,82,17,68,7,47,45,84,46,87,51,23,7,11,42,23,0,16,1,63,99,66,34,81,76,52,76,41,62,57,72,12,1,94,13,11,50,71,62,13,2,96,64,62,32,72,84,51,48,67,0,62,83,23,33,25,65,96,0,29,53,59,23,70,24,64,14,18,31,74,91,67,96,82,18,19,87,8,3,73,27,53,2,25,90,49,68,7,11,86}

{66458584,1771291,2435657,41777358,55299035,54574,3581,75625305,4238047,316567,285478,31443322,67149670,102441108,55343537,8007143,6224846,41737353,718174404,8620145,524977546,26761,2822158,8728908,344991455,292650,42465,2813255,56027802,44550426,388823299,28955609,3542788,0,81004106,86965,950054322,37310,1713984,38343353,26244195,832,709483448,2815684,54992822,4403106,959931173,5410687,718059156,86115,57395,106920,40133,3492403,214285,382588120,5410,7470,8143940,276985248,1993397,44668985,483433531,35499,48019,45429099,96149,905731,381545013,159883467,106508,302397,95248,36030990,4410,262353,70868601,23502713,36516,1426100,3699667,752963,6380729,390594591,256110131,9996375,252033473,983731,55230202,27969491,3084,60306141,390838,754099,66073,238255211,42383793,2729539,57525,525216752,70913459,169882604,238166958,59566474,252919720,2773311,43200982,32928586,5629021,270794289,57401,621553038,717780650,41221735,74183795,522405313,95341,26246713,365974759,242891313,214050,104846,8634,342226,45365919,243614,259908208,74788663,3542788,10278313,1427,44508143,7278286,350714,63924,382503968,140927767,76445162,718096957,279693280,1276362,9867785,49181,277005002,304928804,362979878,6826,95600,95005531,9999244,7977020,8054860,65667374,6162272,693835,168994230,31171,6015,26248793,41,6210605,44540580,45689696,6215015,621260481,525218162,41792768,74232544,296050424,37610,1073236,366016051,7130627,31800618,41787419,322046,344144807,196318169,991646,5438476,1677606,9491579,366019269,1410,259918,26213481,352945421,364247969,9999909,738433,18961898,39850,57442359,1032428,8355569,169882503,6487,240078,32959861,718072943,526098680,74829222,48575258,95335,6268015,41782418,960762632,327,7182891,2736354,9999604,321811,36042,32618985,8090711,3508,74262139,72006125,70913874,52,17929622,622369330,6213224,15259499,344643162,754757,74585247,528022920,36692,3404234,694805,366017842,9043650,32959655,8620303,36154102,169492585,344741355,270830013,8649474,9086360,150476,7182891,6203,9910068,1396909,34179504,32959303,70906715,59422589,525215080,74890124,41817093,169639972,10246000,65922,71156648,246842728,3580310,81023860,2815689,36964293,74871876,42544,292646,292484,8006564,244020259,2846483,34179768,269757,66458584,9216233,741589,80745,6184799,169883428,900475080,153257,44399928,94336787,3866272,2983843,1046220,101461,304921543,9043577,55286229,805925,5275027,874923,179922,6563,45659241,802416,40339399,169883335,9049586,8006559,82416506,687751,390243876,345740924,246724763,31069,9094373,40335898,983997,74842041,41785959,268479418,304956202,45337195,901317,7553716,960476097,238104618,966143492,6212113,1992146,960200272,702670,65764361,560889391,169617489,1507,59422589,9043577,499959763,304929188,83249278,523583883,214636860,28604853,26199694,363299,86115,9049577,561309626,10308768,525217699,54206660,240078,296064,390588663,36030990,8488,3597432,238870,7225,74890124,45366759,20998389,63308950,270805193,70755,365961953,32683,63966,558168968,41,390588762,2730197,528022920,381426198,959894502,8048898,9168403,364882384,259972741,9491579,1764465,339775065,350714,262672455,690664,9049314,560918891,26761,406944615,77572,34115843,2815600,9055427,279693280,960744937,65764361,77831,9907032,247772,5901050,40015997,380126,752963,962754778,550933124,366012434,70942598,534261583,1130477,736418,354144,195184,4396764,85367706,40188719,244029553,2815775,560889626,19037676,98970232,66799738,55343545,519005185,4409,104926567,42137011,542,28913111,259999963,35804,323568,44600,323482,7055,920,116279793,23524954,244018527,244721135,9161978,6197527,58392649,31484,269912263,28604853,931223,3499569,65731,66636480,6216475,8006511,814422,4558944,159556,305245111,9168434,494877,26181709,33961484,59170235,0,66536589,718041247,2805416,6145772,263,55307774,366014940,304918143,116279793,66371,313542319,718104218,486154,238455180,9880724,260994849,70955315,74877897,719087467,45373773,6035,67442226,365924013,1116175,44550336,74232544,8062097,371967,9168486,10350,1672734,72006125,270214540,284716,259197709,836368710,123922,616081146,969848992,718640745,132924469,228118787,0,41777358,525243766,243451,332852,292818503}

Returns: {16, 70913192, 2, 8582, 557, 59560523, 15, 44600, 694096, 8, 46, 8, 80, 9052081, 6, 9, 39717776, 350876898, 3, 825, 4076014, 327030, 199, 323292, 8006496, 70, 746174, 21, 7647066, 36903517, 85648, 6323, 5556, 2724807, 149778, 55193756, 2738862, 342295013, 52747, 60675, 3424159, 75298, 9992819, 7144, 482355, 33697384, 699, 228, 95320, 9, 238104419, 103, 19, 163, 9910116, 221, 428, 270801033, 74121200, 756697, 3, 720, 5, 8019732, 17, 2813347, 8, 390837, 8971173, 78500, 70708, 153, 983728, 18, 9935, 186, 3, 95, 1, 1, 12, 97, 7, 1, 264, 11, 15, 30817, 87188357, 82695069, 44, 350764, 42460, 92, 45366609, 46, 297589250, 68430092, 41786881, 592, 9168480, 8, 842, 35016, 9535446, 19420215, 11, 718103748, 3041, 555, 8, 150759, 46, 26244245, 805841, 1, 3268, 37, 1, 7173, 19, 959939098, 560918879, 108, 754, 63246, 35, 244027056, 864635, 41098, 30928, 1757, 511228, 5757044, 4950, 1073, 525215288, 5710, 17, 6478, 47676461, 19765861, 536998, 174, 6210459, 6066, 304921982, 10, 29, 292623, 35331556, 5007930, 50, 889150, 67, 6857, 6184649, 20, 87, 8, 243451, 5, 1098, 424, 10, 74819463, 19, 8620308, 42, 319, 263558, 2383, 1, 32959389, 259931305, 72210, 49763, 7640, 3924, 500, 23481083, 57488, 97, 105, 7742044, 348674, 3667, 621549456, 1698542, 72845, 2815685, 6, 619, 1136347, 36422, 7016, 5255, 677, 6509, 5 }
{1,13,6042,1577,1,1,93387,1,14106575,159370789,3737176,813706,1,1,8285,571,76393265,585,24,2867,987883673,9299,1468,40703,1,1,38549511,64174,172,86117,2669,637232,1,304892,93143642,81263259,56,29097,1,935,1,43759845,197557,603250706,8860153,16760,522,1,668,43668,597166864,43547843,4486,3412731,355373689,147670036,1,1,526835274,5469,1,28990141,5178,1,1,61519,94,3788,3139,1,15509,46,319995,3224,22323813,51,41094287,723437,82305370,501858,1,978556,975467,188,23117860,1,73305809,199455,1,86691,3240,231,166741,94467116,66,297979,1,4628273,330357,445180}

{2,28,6046,1635,110,85,93419,3,14106629,159370793,3737232,813905,11,4,8309,704,76393297,593,28,2867,987883686,9321,1684,40739,2,21,38549551,64185,186,86119,3114,637289,3,304923,93143654,81263285,124,29114,3,937,66,43759967,197698,603250723,8860246,16774,864,54,674,43679,597166875,43547864,4515,3412768,355373781,147670074,3,14,526835401,5597,25,28990191,5485,8,200,61662,102,3829,3149,21,15654,68,319995,3262,22323819,96,41094404,723545,82305411,501930,1,978808,975496,191,23117925,20,73305940,199555,3,87070,3262,343,166895,94467480,102,298008,156,4628439,330361,445182}

{1088779,1,1,4,5226,1398,928223,7145573,34869,10981764,1,4522454,124,7,779719,857053353,49998,79525,5568,49677852,42635,1,208367,84,1256,2900,14506124,39872,5,7165,7472598,536001713,1,16,85246,409366,59601092,1,972,8,1,613728585,691960,7726233,2612,5890076,187186,1,1,1,14,1,4470,88174968,1,98232033,62215840,4354,1,1,819190361,1,18814,738578,733482857,800,5714,13966,7620,9064795,4621919,865425,343749460,3324902,9029185,11,11,983097,184240867,1,1,7334,8,88,677,1,71,8374999,1,64988,72273,50051,5456,1,68,1,833740,183144130,784,848102}

{1088807,29,39,21,5240,1469,928442,7145577,34871,10981973,3,4522642,138,12,779906,857053368,50049,79544,5786,49678046,42659,3,208453,93,1295,2917,14506124,39877,10,7225,7472647,536001729,30,19,85248,409569,59601238,119,1016,9,9,613728603,691963,7726262,3081,5890335,187269,189,10,4,158,9,4471,88175338,67,98232493,62215845,4492,3,24,819190785,23,18814,738579,733482900,810,5751,13976,7669,9064984,4621924,865436,343749478,3325014,9029190,31,51,983115,184241037,12,111,7456,239,90,681,2,85,8375003,13,65020,72455,50219,5460,26,70,424,833983,183144246,786,848252}

"WBWWWWWBWWWBWWBBWWWBBBWWWBWBBBBWBWBWWWWBWWBBBWWWBBBWWBBWBBWWWBBWBBWBWBWWBWWWBBWWWBWWBBBWWWWWBWWBWWWW"

{94,43,25,99,75,1,38,87,8,40,78,51,63,71,27,48,10,41,66,67,90,33,40,31,39,93,32,89,10,61,52,89,78,55,15,13,15,58,93,82,28,12,13,65,87,50,8,7,25,42,58,35,94,2,40,61,72,46,37,83,12,4,59,81,52,34,13,58,6,75,66,93,61,36,93,65,29,8,24,78,57,56,48,81,2,89,55,27,57,58,15,89,73,51,51,87,23,67,0,8,43,20,84,21,30,67,43,98,33,3,45,12,70,52,69,3,64,47,17,67,27,38,32,90,4,40,10,87,63,63,53,75,31,69,94,56,71,39,66,3,10,43,0,39,65,2,20,7,27,81,54,30,43,38,49,16,79,50,18,84,61,5,26,51,33,89,98,41,90,45,29,71,25,31,29,5,57,63,43,75,44,60,86,20,9,4,6,8,58,52,90,36,88,16,33,52,29,36,0,62,11,35,42,88,0,41,85,60,41,72,57,29,50,85,83,26,36,15,35,54,37,30,66,96,97,77,40,19,72,51,8,1,80,93,12,7,98,70,27,62,51,77,66,87,58,53,5,16,5,36,61,28,21,55,12,41,65,12,98,27,12,87,62,75,63,51,88,41,57,13,90,82,49,72,16,75,75,8,49,39,64,30,41,92,12,60,44,18,53,46,28,97,11,34,59,53,26,14,27,67,76,16,90,32,1,44,77,85,43,18,34,6,19,5,27,46,63,6,94,1,34,42,50,10,32,90,59,70,17,43,99,66,52,95,46,71,0,50,32,88,48,40,77,92,96,41,81,13,35,77,77,10,17,84,45,29,72,9,82,44,18,33,74,10,49,97,74,40,9,45,74,33,91,63,49,88,64,71,43,23,95,40,95,45,72,8,4,21,20,11,48,12,23,72,91,12,50,52,74,19,17,11,88,42,93,57,96,87,20,48,70,57,18,50,70,35,46,84,90,89,30,16,43,69,81,38,30,9,85,81,4,27,2,12,39,34,51,43,48,60,65,73,91,81,1,78,2,50,62,89,62,49,67,7,77,22,34,55,11,36,30,6,31,94,52,19,46,65,28,58,70,86,12,68,65,24,50,64,36,20,21,3,11,49,91,6,33,10,20,3,9,92,95,90,40,16,87,3,30,40}

{89,80,48,98,42,22,70,41,17,80,93,13,13,9,17,15,17,75,66,77,65,38,52,72,75,4,4,33,33,46,1,84,81,34,43,50,4,91,19,58,7,83,4,50,35,71,29,94,85,52,36,42,72,50,30,7,86,7,17,10,10,75,22,95,63,77,47,79,85,32,45,64,36,40,49,19,91,41,87,73,46,33,2,7,81,78,68,76,23,30,65,76,2,47,68,23,38,11,84,50,74,19,42,29,96,88,34,36,20,85,24,31,49,7,19,37,80,85,88,11,4,72,26,13,98,24,7,49,44,11,50,99,92,21,57,49,36,21,31,49,2,96,49,23,21,22,29,12,58,43,38,8,42,45,48,78,21,69,11,84,24,25,87,7,7,34,81,54,42,47,16,24,75,88,77,56,58,7,79,75,35,40,32,7,81,24,95,74,21,93,98,53,69,67,9,93,28,64,65,12,79,92,63,95,74,82,27,52,23,11,8,62,36,14,13,11,54,15,36,53,47,24,90,15,35,26,83,14,10,49,15,38,36,10,0,51,93,38,28,6,89,71,55,13,22,37,28,1,10,35,30,99,48,76,32,70,6,62,53,4,69,56,99,40,71,61,37,98,30,3,87,29,61,64,66,70,15,77,82,17,53,14,35,89,37,38,12,83,8,33,93,41,24,86,2,9,78,67,64,39,84,6,80,22,48,10,59,96,21,38,89,22,74,38,73,78,27,88,85,53,34,43,48,34,78,27,43,75,72,8,5,19,31,66,99,87,63,67,74,91,35,23,87,2,60,67,93,59,67,82,29,31,39,69,36,79,16,96,54,8,44,84,7,1,65,63,95,4,35,50,2,64,26,87,16,99,17,17,19,3,96,80,9,56,92,88,63,57,61,98,15,86,80,36,84,27,1,14,17,24,13,61,54,93,36,41,97,5,96,34,49,52,33,64,94,28,42,92,81,56,1,92,40,53,99,41,0,22,97,65,95,65,70,33,46,26,10,71,11,27,80,3,4,81,64,98,5,43,63,57,56,94,14,35,92,0,35,58,2,67,4,14,95,73,68,70,50,10,25,49,43,91,87,76,77,91,11,30,11,75,84,58,10,47,37,90,43,92,26,92,84,43,2,36,1,0,82,47,63,90}

{151898,610976948,3561,962294,889436,209837,4636442,648913951,14150650,49,196402979,43547862,738571,169487283,103238,857053377,3816169,657488389,1,1688746,129753,305872,8942,192569531,850,94472696,5212,282804,3432352,29176749,8962,23095111,265560105,152673670,1452577134,597166894,857048823,526885244,144142640,525859874,7145739,232,5236,597106096,89029356,598032221,14048170,7145606,2910,880557,586436332,81348291,344069301,597160861,7475257,36135716,416735220,6958971,107980,3737134,3737358,5325,212476,688160,738627,93318053,46,526333483,1021856,116,5901041,827950362,88591146,59601199,94423836,49735926,128859,643347044,8573291,263218127,183437,62520724,5381,8116996,980113,266394204,245891758,41069951,44983,534305284,857113395,41072173,3327726,43547831,43552378,8533759,41618,5318697,24205991,583095130,582229858,1037516202,23611572,83968,6641349,17803,517748060,59930576,987621421,1622,5905620,536638869,4650076,7145622,40615971,27542,733482902,38,80113,5318702,98815,344068478,53055606,75527,334816,1293,10882811,8530879,9596144,4597923,681929106,1293323,536466802,9074253,4387,62259514,58735766,8394,536633154,42089,3731190,610143004,1132473,39849,53044,212924,987833046,7145450,526811035,609990795,355374703,21541666,610087412,5905888,43008,190102915,492549,606231770,5330905,0,28991400,1468,44481088,50693434,7450458,93076841,655018,925342393,814011,5906843,76350065,864218,2982,536638999,1613260,62214401,526839687,6406999,610475081,2,72809709,819190812,73305856,994986595,169366608,3983,1133016,17211558,526826017,94467418,398585,31986497,9064945,76425546,170047852,94467415,93103,673881900,1149548,23868,4834634,81500439,244199,298000,30264198,656513017,104049,819190816,657447706,339720771,14137092,92587,656767838,788026,271,47719140,414974711,0,140454904,440135983,29121,7474039,69691,856220112,259369668,51349094,233,48903767,347166709,43504202,871124357,1020,59601240,90730274,1088683,50693433,94137890,4636448,103872,997871,43525775,841071,245896722,8574540,527042209,91558579,1606,76443317,3738675,140454900,36460094,1293251,8656,204808231,101,652851066,959499,23866,91256592,98815,9064822,54040395,1269442,67,126898,14557726,29158,657157356,7470941,1616,8499015,896507,28946476,390053427,76437502,4637330,857053952,14331360,931811,79866,648720637,6698540,650822584,139208,29169,819189800,8862799,5641,98833979,491490,94467324,469715865,5335239,19923015,448,233151093,213490622,770230,733507203,16860,17977064,77178272,75533,209834,654,5125702,1700954,833947,610967630,4609,93076839,812001,62969808,458,3345982,266358469,762879,1021858,169,91587705,5,610087409,597166219,89491668,266546227,93317,610971354,4637324,343989358,596835505,1291990,49675072,536630012,303653,1105641,7709070,350232,597176988,31352977,50529,81671952,40749,7915808,166153,818356844,657470695,93496047,5606,81654835,1235105,1613266,539101690,79869,32182120,53727672,422901,419772730,169518810,354398316,5278525,8863104,22813639,24207428,3737208,18695,187034053,31055003,5272,88680134,603040171,31346960,733787782,53005111,7835974,76399678,1293431,733403963,786447,645199665,39178,1131942,46,170054765,56342512,343897275,14141453,733346,13673,958936191,5005355,857053376,73305868,40795,284468230,23167099,103921,597166870,779042,31272890,49679656,80104,32698850,355373791,94961844,154068460,657484134,186938687,8573103,988674968,93228217,4650079,4631,310422,1330649735,4637269,81672452,701752,22955901,1040430,62237926,7475271,76271153,610976906,82522792,1374487,657487508,6386492,170142900,187772630,923801,303231,41691,4631391,305011,187539,69015017,39810636,610111477,5335816,819215076,62364,3326510,45291,3,733482932,266215119,7484,13810056,724945,147701,62202213,43643,770229,87999475,1534352,881933,12204502,477397752,5330453,59590854,7470065,233833,536341000,3327971,4566,45068774,597353443,3676494,3066,526791666,606339516,73355648,8574420,41098774,1644190,49269,600875548,726012950,55892294,987926222,23109227,526833755,7445940,43633,78950,946324,610672040,3575947,963797634,170576,147234218,610804758,291960,59531989,17,77432055,9150912,1588,6736725,75489}

Returns: {2, 1088798, 24, 11, 6044, 18, 1619, 11, 6, 5234, 10, 1446, 93400, 928332, 2, 7145573, 14106575, 34869, 159370791, 10981905, 3737219, 3, 813893, 4522604, 4, 130, 4, 12, 8285, 779720, 702, 857053353, 76393286, 50038, 591, 79525, 28, 5568, 2867, 49677900, 987883673, 42652, 9319, 2, 1499, 208367, 40704, 88, 1, 1263, 9, 2900, 38549512, 14506124, 64174, 39873, 177, 10, 86119, 7170, 2669, 7472598, 637253, 536001715, 3, 30, 304893, 19, 93143642, 85247, 81263260, 409366, 123, 59601113, 29099, 57, 3, 1001, 936, 9, 38, 8, 43759898, 613728586, 197569, 691962, 603250706, 7726233, 8860168, 2751, 16765, 5890105, 606, 187206, 48, 10, 671, 10, 43670, 3, 597166864, 35, 43547844, 2, 4507, 4471, 3412762, 88174969, 355373690, 67, 147670073, 98232263, 3, 62215840, 13, 4364, 526835323, 3, 5597, 19, 5, 819190573, 28990141, 8, 5181, 18814, 5, 738579, 46, 733482857, 61547, 810, 102, 5750, 3829, 13976, 3140, 7630, 19, 9064924, 15513, 4621919, 52, 865426, 319995, 343749460, 3224, 3324902, 22323813, 9029185, 93, 15, 41094288, 51, 723445, 983098, 82305370, 184240868, 501858, 12, 1, 9, 978724, 7421, 975467, 17, 188, 90, 23117860, 681, 19, 2, 73305810, 73, 199546, 8375002, 3, 13, 87070, 64988, 3261, 72273, 335, 50193, 166746, 5457, 94467304, 14, 100, 70, 297979, 32, 63, 833891, 4628434, 183144198, 330358, 786, 445181, 848177 }
{47331,51946,296689807,893,830,2,3752,639325,24,421,314375798,6706423,2638,1,829231,10125,1769049,1,51705,53792,570377364,595543,6631507,184,13,1,29328328,2327,2,64901673,639301303,1,68584175,1,88803,1,1,476,5,730972,8586,55638915,869,89451428,456196385,7609,423844,80662563,1,263771297,607899309,90997368,7453,14346739,27778,1,103,1,12,1,8808190,12,4546227,20,270,599,1,15371,877522464,900032,619111,521027,590727,1,58,8596469,892440171,1,5638,5,3589,2528123,63,1,279681,8397602,8181,60552199,4325,74859151,1,1,19323,33641937,1,716394647,8870194,82,52100006,12915}

{47369,52062,296689823,912,833,33,3803,639626,34,511,314375880,6706458,2798,3,829231,10137,1769121,7,51827,53902,570377367,595577,6631590,210,18,4,29328627,2339,3,64901674,639301390,6,68584444,12,88849,1,205,477,6,730981,8814,55638938,1059,89451531,456196410,8009,423864,80662563,9,263771371,607899535,90997891,7500,14346747,27805,19,110,5,94,209,8808191,106,4546228,146,706,787,326,15376,877522524,900041,619119,521097,590819,2,111,8596482,892440174,175,5661,6,3622,2528149,65,9,279880,8397652,8185,60552206,4402,74859157,1,5,19660,33641959,6,716394883,8870198,91,52100010,13311}

{41,44,48,94478396,911913152,860,1,9529156,972,619213,1,369493787,1,960174222,926700,577253070,1,5,1,9280,155,626021164,3643326,980872,77064745,804595107,380273,80093154,30827262,1,6534662,66338,119718,1941133,1887715,433120,1,315,460338,52,6464035,1,8,88,37166194,45784,1,96907095,1176,221,988234729,1,25787,436302609,1,837208748,501267,14321811,351819,19978,78973985,5008,8588,1,144100,5679,63577781,88992545,1,799125,5017,69,647974,608,652,318524973,1,90174720,8,1,8796,1,466820,2,626,781,56206095,11047601,927,1,670,8941317,26,23,97068690,33178,1,7253680,742,99768158}

{54,48,107,94478402,911913327,903,2,9529160,994,619215,6,369494013,12,960174324,926740,577253091,29,253,4,9392,280,626021169,3643326,980939,77064768,804595134,380465,80093255,30827480,1,6534667,66343,119723,1941185,1887721,433131,54,316,460359,56,6464210,13,31,97,37166235,46097,3,96907103,1289,268,988234761,224,25816,436302626,28,837208768,501477,14321970,352076,20008,78973987,5047,8595,25,144169,5702,63577916,88992548,14,799325,5070,97,647975,838,802,318525055,12,90174728,42,120,9320,26,467083,19,656,786,56206097,11047733,957,32,976,8941530,335,26,97068694,33214,135,7253681,871,99768179}

"WWWWWBWWWWBBBBWBWWWBBWBWWBWBBBWBWWBBWBBBBWWWWWBBBBWWBBBWBBWWWBBWWWBBBWWBWBWBBWBWBWWBBBWWWBBBWWWBBBBW"

{37,79,1,9,11,88,55,32,45,53,7,38,19,66,58,83,55,46,65,50,37,9,46,35,14,53,20,62,69,28,33,28,28,81,24,80,87,3,30,61,78,24,22,16,57,18,19,32,3,49,28,94,32,80,33,15,25,2,3,88,62,67,31,80,97,29,87,42,94,37,13,22,33,59,47,74,30,4,70,60,11,86,64,34,51,6,75,74,84,93,46,57,40,65,94,20,45,33,23,51,82,40,77,66,96,13,39,4,66,83,27,30,9,13,30,95,25,57,3,28,58,63,82,28,56,64,24,89,68,77,37,44,60,19,66,93,39,6,53,38,6,9,94,91,65,10,71,32,70,53,41,47,15,10,6,28,91,22,0,70,89,58,98,11,7,16,21,78,22,64,20,38,45,41,69,42,17,77,25,76,73,95,32,58,14,34,63,46,8,97,11,21,47,86,42,21,3,68,26,50,29,42,9,56,40,24,4,86,92,77,29,15,86,8,63,30,31,40,52,84,50,55,60,5,83,39,48,79,40,65,9,19,46,17,97,66,22,53,67,69,53,25,2,94,49,27,92,40,72,73,7,81,29,13,17,49,43,24,80,12,62,54,36,23,88,65,83,92,21,74,82,16,67,94,74,59,75,66,87,22,54,67,23,28,40,80,96,82,2,69,19,62,79,14,36,24,20,77,76,39,77,15,49,85,60,2,10,75,36,68,26,89,43,20,33,46,76,75,53,9,11,26,80,85,41,58,66,41,92,82,43,82,3,22,86,7,79,43,11,22,47,95,96,42,45,32,45,60,44,84,77,29,92,22,90,80,30,46,23,6,8,75,2,89,86,84,83,88,77,32,34,45,68,22,89,50,33,74,83,97,35,83,86,29,12,27,11,95,26,47,49,27,51,21,38,6,26,78,26,87,61,67,18,39,60,74,90,19,66,10,33,44,13,15,60,82,81,30,28,1,73,99,43,5,22,74,15,76,90,39,62,12,3,26,33,56,6,30,50,70,89,29,35,29,84,50,55,47,71,50,65,35,77,57,30,59,46,52,73,37,12,6,67,99,57,50,73,78,41,76,10,82,72,32,83,88,64,27,25,42,61,65,60,62,68,60,4,79,89,29,98,51,3,31,72,29,88,6,21,22}

{47,77,12,98,63,48,34,95,3,39,74,4,83,96,90,33,8,0,82,46,83,86,11,96,36,39,64,63,58,89,66,64,41,46,10,18,41,2,31,4,73,95,77,95,12,57,69,19,57,19,34,39,35,97,62,68,99,23,9,5,17,14,1,18,16,33,91,74,44,32,12,13,99,65,9,97,12,23,81,26,99,97,21,87,14,80,90,24,7,48,37,61,7,25,28,78,9,95,52,21,7,77,43,35,30,1,1,3,69,60,59,9,98,86,11,93,47,45,53,33,30,49,29,18,88,93,9,73,88,73,85,2,78,96,52,50,79,78,77,87,93,50,5,23,50,1,83,27,81,10,1,93,65,36,66,53,15,16,56,91,33,41,86,14,59,38,37,80,75,23,42,52,56,67,60,81,68,34,64,5,84,27,8,55,45,1,94,21,35,78,49,51,71,84,67,84,39,55,74,30,87,49,51,64,58,89,61,42,62,67,42,37,15,13,53,56,25,22,14,57,30,30,52,90,99,43,74,78,92,97,79,89,72,20,25,37,14,33,79,47,7,83,49,88,34,35,61,51,93,57,89,88,14,51,33,40,58,52,1,4,16,1,95,33,63,7,91,47,45,74,84,61,88,85,50,35,9,6,77,67,30,5,33,17,49,5,53,96,4,40,20,19,69,65,45,25,58,47,16,47,61,59,40,62,1,35,16,87,41,57,5,75,56,58,21,8,72,8,60,61,50,12,23,16,1,97,89,8,34,94,40,30,19,86,1,55,78,52,48,81,74,38,87,80,87,69,98,23,26,2,42,38,78,91,4,91,38,89,5,56,92,83,61,62,72,96,70,33,56,51,98,20,66,55,2,99,39,61,98,71,63,16,48,1,64,9,67,94,46,13,3,10,39,47,68,79,77,24,21,80,85,4,53,11,9,24,99,72,17,61,55,65,67,75,70,97,1,54,81,15,71,89,22,98,12,87,11,99,13,82,40,88,32,14,73,73,36,3,88,80,26,29,85,55,95,5,70,45,61,65,87,80,44,69,16,51,96,1,52,8,6,24,61,84,4,91,23,40,23,51,45,68,82,9,6,44,87,76,49,24,93,51,86,44,2,27,72,24,17,99,19,77,20,73,6,11,12,20,2,28}

{177568873,90174743,49236,52718066,376200256,4772,835409861,647896757,94439719,449918355,10167922,911453630,63189,72448001,351268,1941191,837207796,376593,462145,1595710268,804,55594666,375776411,9303331,1755955,449918335,570520841,4554816,1347299,105686605,61636625,30683730,86466410,2104267,391440633,57213,15961011,391167242,645769652,911908980,6466,793426185,93162970,714658775,14324596,14373556,1636045,68641003,80157505,263726715,29028579,97799637,68897876,7248171,6478831,1454765500,704840268,297670485,93859662,4479,4554815,88879703,118250,57212,9022669,66842876,62658437,1483,516098865,68703373,960177113,963162573,97840291,15111,176950051,7253063,645833183,910932855,1914066,99113831,276418790,48960534,626472232,69623395,91095104,9280,327120876,77064151,9888112,33643223,423729,14316842,3695779,804590222,66241262,570371974,581000,718302621,962385,716423250,9701507,83719482,179626076,63144668,636965776,960226254,679037,817434833,63678694,87782192,80075520,645216350,52718061,903976410,995553995,682785920,788350583,14284024,356170065,28886310,645484042,263771585,65368691,30879214,504685,33785662,76445953,74859970,877519055,90173955,8397654,196672766,87776513,8825800,63559455,1562492171,731055,1892,360474617,71139592,33638206,1595514505,97067865,7960803,1596127675,314323983,521175,148555561,1914086,736331773,55587042,143927703,577256779,314375911,63581599,419821917,568321739,8505816,548474,9555613,76800332,55990684,108297199,374444348,10148665,2229398,626615928,11135,316846642,837026,570376774,442026,463409,144616107,86083008,2527282,877522558,88375831,804451390,892441027,280048,796452264,68703177,836857005,1702144,1924546,97068727,626192874,432173,7259257,626558477,716423246,177048504,56477165,89007068,626336197,95208429,1714731300,29707969,1013102069,15397240,263770739,91616402,357493,6120935,151923888,911908959,56213425,4535491,1197562,64900817,577262435,521048969,960173378,450649339,645334601,804528805,9443492,1722682,14601074,1013102051,1469975403,87748922,231,99781467,88720519,708,5666,6474561,7248732,619644,74814757,814937,570377631,797341515,63577968,8518998,448708180,89007944,175870492,440480758,804595124,32918651,97072185,265570020,79662373,24316,97452866,33699120,14321035,83748868,2524652,64999149,1051171927,1941189,270226341,89803101,77046405,57363,911915105,2785732,24238,716427860,960463,5334,10162169,8941510,177550326,626562913,27,746252,1774072,89002593,105465590,1596133438,413163,326501887,63581605,139679177,91965421,645808213,89007061,960442,30827458,270226357,11793,441779182,9337218,1208602059,6556146,570332678,4493230,1699213,1749470,53807,727530409,570728845,87394919,890671145,176838653,90169725,577243273,270226341,3859260,87730184,297122863,312606854,359433036,55638945,891844334,29707809,384787726,89952554,570728835,624675550,424836,892497339,327120520,362867195,614627,1219933871,29705885,975305,6629342,55587034,6901886,138436936,55639903,1957192,96601693,95906588,645368865,94521928,59186196,56249857,828319052,5670,89469700,376198999,7746792,177568953,716821832,62729739,11771,71546147,68363839,52137089,86801032,463654022,296410537,90175576,65362061,13709,11929791,911913321,8936096,645375619,74435295,980272,504997,20288,327121523,296694758,70321548,56140765,8590963,624160,1944668,89673533,22532902,53898181,570414889,941100304,840196989,221830727,1496352682,2672094,4416,52100761,7774627,433143,1769114,56212993,64849781,146529,79475883,287192335,813430160,29284812,943929794,358248625,394466697,90266716,609181097,877982908,3809,119122716,77070387,654373663,71587305,8401895,822935153,450597629,375469240,87162543,77064154,99780817,1175630,63577776,314380907,835267603,493356179,871197160,267314401,87158035,6786659,2476235,645808184,33355591,577294869,521822,174614026,86463126,52100129,10272129,71599235,214455627,992195017,960173675,1197941,10992910,2555,162942244,29045509,1940378,500605,3815,727244172,1596128790,619549,45911153,1,8830002,902110447,716147343,1596133252,837822825,177515864,526025,1596127663,71593492,427688,509204914,14422696,644066883,91017591,8446337,70286,32458,1138,1048,77068540,89002914,100034096,897592197,1587192613,980337,6467200,56619675,801442602,314413696,877989535,771679,69083541,3841,493357324,71455436,972531011,1068366227,77065602,33646930,91002501,31567904,488807850,580832816,9925053,911855191,77064764,74859184,164656556,52054873,181172317,664854603,65556,1235003,427689026,2566,570373873,922115385,33815721}

Returns: {47332, 54, 51947, 45, 296689807, 81, 900, 94478396, 830, 911913152, 33, 900, 3770, 2, 639433, 9529159, 25, 981, 439, 619215, 314375805, 4, 6706434, 369493787, 2775, 12, 1, 960174272, 829231, 926701, 10137, 577253070, 1769065, 29, 7, 49, 51716, 4, 53816, 9387, 570377364, 271, 595544, 626021164, 6631533, 3643326, 210, 980934, 18, 77064746, 4, 804595107, 29328328, 380330, 2339, 80093154, 2, 30827431, 64901674, 1, 639301303, 6534667, 2, 66339, 68584398, 119718, 8, 1941162, 88821, 1887716, 1, 433130, 136, 30, 477, 316, 6, 460359, 730974, 53, 8796, 6464051, 55638915, 13, 889, 31, 89451429, 97, 456196385, 37166209, 8007, 45793, 423864, 3, 80662563, 96907096, 9, 1278, 263771320, 245, 607899319, 988234729, 90997624, 66, 7458, 25797, 14346739, 436302610, 27805, 28, 2, 837208748, 104, 501279, 2, 14321811, 93, 351835, 42, 20008, 8808191, 78973985, 54, 5047, 4546227, 8594, 39, 25, 407, 144127, 786, 5702, 2, 63577781, 15373, 88992546, 877522465, 14, 900032, 799182, 619118, 5062, 521073, 88, 590794, 647974, 2, 805, 98, 718, 8596472, 318525011, 892440171, 12, 16, 90174724, 5642, 21, 6, 46, 3593, 9034, 2528123, 11, 63, 467059, 8, 19, 279869, 646, 8397629, 784, 8185, 56206095, 60552199, 11047733, 4393, 933, 74859151, 10, 1, 976, 5, 8941490, 19323, 33, 33641937, 25, 3, 97068691, 716394647, 33210, 8870194, 9, 83, 7253680, 52100006, 781, 13300, 99768158 }
{2,26746976,1,1,1,1,1,232,720,34257087,660,28614077,1300669,89,2123,2,1,803,6027,752995,6326,737075713,174,15235817,141182027,8466912,16,60086,204226,24908280,601448252,648988,175,305560667,9,37423,48366546,59194,81,1,50621469,5,9167600,59,67276,9,198916,62872,307116081,1,1,1,40221552,2747,336,9879381,1,729661,30979563,446494,1,66,455014,1,1766891,876094,5080,64050275,2243079,270895413,297095052,7674,346210598,4969539,24868,5545,2645667,14840,1625,2145,9798,131081,1,5887,430,69000598,93,3,567,1,143820,520354,321578757,7074987,12909,8614308,2567087,14296982,1,1}

{5,26747141,3,3,45,1,211,644,739,34257095,747,28614077,1300840,136,2289,8,147,807,6062,753074,6432,737075717,390,15235918,141182057,8466928,90,60136,204705,24908303,601448370,649026,176,305560667,38,37441,48366826,59217,98,31,50621476,5,9167624,59,67301,10,198993,63003,307116099,3,14,13,40221577,2978,336,9879381,197,729867,30979565,446518,11,78,455231,220,1767108,876402,5223,64050721,2243081,270895541,297095057,7677,346210753,4969606,24980,5550,2645675,14891,1777,2150,9826,131191,4,5910,438,69000746,117,6,963,17,144058,520555,321578781,7074993,12921,8614319,2567402,14297007,19,7}

{5686614,365831261,6553,5368369,552566627,1114286,99387,685093,19085,357,905831949,88564781,285,188298498,1,50070,340,6,92896,3235270,1,58974,8389,22339,276804146,4113,126629,1,307928084,64,7883,1,37674,9387,9023,79128725,226712169,99,6117407,532,2,80,1,1,955524738,7098,4860509,998463,928,94677923,19097,315862648,56011,6,1,5346,30178097,8434664,1,6,1,15,1,376098888,551980865,48312,70965732,379,1,9,124989,2269,480080,9150227,693717535,1,43,3305,4,584,652997,1,385,7,5515,64472,9915860,10,10580215,5642,1,536352514,1,43424354,23,1484,22,468616,1,819937082}

{5686632,365831275,6660,5368377,552566640,1114317,99415,685421,19285,360,905831955,88564781,353,188298758,321,50075,394,8,93219,3235277,8,59060,8406,22742,276804148,4116,126670,21,307928168,67,7898,15,37676,9534,9056,79128743,226712379,108,6117724,537,7,83,17,10,955524855,7306,4860746,998549,949,94678308,19106,315862722,56137,10,59,5348,30178104,8434908,1,11,41,114,151,376098897,551980970,48463,70965822,393,45,11,125108,2270,480099,9150244,693717556,5,71,3674,434,586,653000,78,580,9,5669,64726,9915863,47,10580409,5693,8,536352556,65,43424737,341,1504,444,468617,6,819937092}

"BBBWBBWWBBBWBWBBBBWBWBWBWBWBWWBWBWBBBWWBWWBBBBBBWWWBWWBWBWWWWWBWWBWWBBBBBBWBWBBWWWBBWWBBBWBBWWWWBWBB"

{23,73,95,80,78,95,25,21,59,74,42,81,78,96,94,58,86,89,75,84,33,28,37,8,27,9,35,94,28,2,57,63,92,6,43,13,98,96,2,92,6,62,64,15,50,83,34,72,51,10,54,34,43,6,60,19,77,89,33,36,3,2,74,64,24,32,29,36,0,51,34,36,90,16,36,82,95,70,44,77,33,15,51,33,97,70,71,46,94,64,4,71,82,42,37,93,20,14,0,93,43,78,25,92,93,16,58,5,82,29,63,55,72,38,95,82,2,93,20,96,69,30,72,49,54,97,16,23,36,38,69,98,19,84,45,91,30,44,98,68,6,92,34,68,48,95,99,26,72,19,84,45,93,14,89,34,24,60,14,30,95,90,82,76,52,7,85,9,11,52,53,23,73,86,77,48,86,76,54,61,90,46,5,68,48,35,49,74,82,31,33,57,38,18,45,85,2,24,84,91,74,99,26,93,97,55,4,13,80,12,88,88,93,21,48,57,5,68,54,63,6,44,24,86,25,92,7,64,8,3,31,29,50,27,54,52,85,64,68,8,40,81,28,41,1,25,78,97,37,48,88,27,26,75,53,61,86,97,43,90,21,24,53,71,79,46,69,94,69,23,67,12,31,20,18,64,15,96,13,21,48,97,36,69,74,32,95,63,41,52,89,39,53,85,55,99,42,26,86,12,43,32,31,90,98,77,54,7,27,61,9,96,72,76,41,42,65,67,16,96,63,56,35,19,40,73,84,31,97,11,94,43,20,12,37,35,33,54,55,21,51,41,67,56,30,14,5,86,76,58,33,87,63,95,43,39,85,81,39,48,61,99,96,24,38,4,45,75,3,64,16,1,85,86,95,71,95,63,3,82,16,9,56,57,80,1,12,51,4,45,78,71,77,14,14,55,91,81,30,42,27,80,71,64,27,30,61,98,44,2,23,30,54,18,31,11,81,59,89,20,13,2,44,98,19,20,62,33,96,32,73,50,21,53,79,89,9,69,50,65,97,9,33,86,65,93,71,75,89,40,54,74,82,16,92,32,7,31,33,83,76,19,16,89,9,54,26,92,24,7,36,34,85,22,60,75,76,40,28,33,24,10,81,34,19,14,8,48,55,57,57,2,21,96,95,15,57,15,76,96}

{62,74,30,15,2,5,50,65,21,18,25,70,56,14,16,76,79,9,46,2,39,35,5,75,74,94,55,81,45,6,93,84,30,63,70,66,33,69,62,97,57,68,50,60,82,86,30,65,4,2,43,94,59,47,33,64,78,39,43,24,49,80,99,32,46,19,0,91,75,5,16,54,82,19,10,62,3,85,4,3,38,8,1,88,52,87,89,81,86,39,72,33,79,15,60,92,65,27,39,37,50,33,19,68,76,94,10,7,44,89,54,80,65,1,64,22,13,82,7,92,8,53,30,19,64,55,11,40,64,6,89,78,9,72,63,36,58,48,36,74,0,8,25,30,37,94,23,1,89,94,57,84,7,8,61,32,81,23,12,31,22,25,11,26,88,61,40,91,2,88,15,60,69,25,61,47,7,73,6,77,35,72,41,94,83,5,46,20,98,42,13,33,13,31,16,70,94,5,13,54,38,70,91,62,87,34,76,54,29,65,46,53,22,5,97,65,95,91,91,26,56,30,85,38,51,3,61,87,85,61,19,34,44,89,13,5,71,1,99,61,16,75,1,30,46,0,83,26,26,3,17,43,97,95,71,1,4,33,48,28,26,72,82,84,39,32,32,75,14,33,92,5,86,44,2,7,42,98,75,60,96,9,43,11,52,30,74,29,50,88,77,57,61,15,30,18,87,61,16,92,44,83,99,91,71,50,96,93,7,90,40,62,84,65,2,21,63,71,28,17,73,85,22,53,1,90,12,17,6,23,63,46,66,26,10,49,57,41,53,67,91,3,66,69,41,60,53,8,35,70,43,22,68,42,12,73,25,0,34,47,21,79,80,14,42,54,96,44,0,84,9,24,49,77,31,60,1,29,84,89,18,77,52,47,61,55,7,0,8,13,10,5,84,10,93,86,44,18,90,79,68,5,99,79,83,8,30,41,26,11,98,43,83,10,54,97,10,12,51,72,91,14,61,60,77,85,69,50,74,38,57,97,29,11,97,70,77,41,77,6,86,10,59,38,62,47,48,62,70,24,6,98,37,21,67,13,77,77,59,4,20,44,49,27,86,71,47,45,4,68,30,91,57,90,15,58,35,27,17,60,84,77,49,3,79,68,38,25,95,92,68,42,11,66,79,95,15,35,34,63}

{14803274,689511952,592840447,612734,8359,9727115,8481898,736210023,736688183,693643261,704794,297088870,30179872,2565438,13230,28333963,9917336,34262395,5054164,1374,305569532,228966635,1173407,23909,693752680,34244516,88965332,118335,308125680,92806,41334937,376093674,279877485,375999505,297220068,117337856,305570061,268328223,461815,307750406,9065378,1787853,553728950,50077,18536,9921666,601449503,345766011,236703908,905826024,328,21916,446459,962053,305570062,549759789,16522,5138,305569998,142907463,89309555,656223,126244500,553710215,412926468,3950426,30594850,357486573,5692160,314748432,8703,275078323,144540,3987930,727485669,455805,13981194,228154667,403025524,5379748,311668730,31711,76715574,316130718,26337167,297220087,11074,4928447,9928656,553747532,898297125,305560121,2155,9217672,59314,357928507,918251,57984,5686091,50440392,19141,305568285,10945072,319335693,47853971,13229,936810856,429837,955591576,24913905,376099166,10517220,345766010,386460648,558826674,8211,188292093,50499130,690875,319011580,270913777,601453274,255709974,92195657,553747670,4880870,117178514,35408232,371868225,6018257,270901084,1777,36738992,346684622,376091782,357486573,570476693,1262572704,275078715,695935656,5587230,321597134,8471837,599213178,307057698,8602881,835150315,392451593,346685027,3975344,9158696,1894,49813974,20481,5730,28802,417854915,15258501,1298855,600807233,8620841,8327056,117178280,2772231,50744979,685642,18443989,570088923,117172269,50744980,53039,15258501,275076040,18378577,18209,308050709,9231317,11474099,99661,18210,79235260,350392244,1114213,2230193,307111102,78051879,90016178,693736101,579,8518578,493849769,313256309,182181038,736185,6781,228154667,19474,416871890,188293284,536872518,687624887,1116907049,536746210,50044479,14765550,9883064,555212228,188298776,25551422,472558,5917702,10582415,50490919,738131013,293286783,8532802,9727116,538075274,536872519,375972261,30078718,1556898028,348920713,3798310,324325529,326947141,685642,553748015,69045660,5368430,3339250,24917265,955573041,65772,188298776,41279821,69055525,211129613,822180154,19718,50621814,125718,84445494,601456173,387518584,14149421,4135,14638895,185746,312483516,10580554,60052,14638895,8610264,6957,392578206,542650857,291722904,307116947,307988825,737143351,481352613,3545,10620,2202,5021864,270932915,7384,270893297,290338031,257528839,2414611,10564794,955585720,92687,553062330,9217673,2567602,188304045,737134708,304549410,20428361,275078651,330846119,733858109,601477973,702305402,401007125,19028,50744980,17048,9164239,2907,69015390,591571531,819849915,9167638,126691,9915610,320278451,955592088,43397,820586099,536728934,9941,30469,2567211,49813974,744555,143902,16364744,2112377,346684621,1817839,6512,727967106,376926651,64044529,308132460,2566793,371918264,99114125,79157379,3985290,389705706,13975858,1305535,648228,14666205,101920355,376111775,5059646,70967065,1426950,905890409,15586626,313256309,354,9881742,673083991,221010190,5368293,135010577,301073517,601456174,2166,1117257,9897409,81736900,266240570,305569997,8742,378341967,554776,1300955,14119305,60594434,5817730,8515,308050710,737134618,819938641,3210379,417984013,15285061,552566902,2574300,955586607,318253,553741989,34257102,203462121,163613947,9927148,7966787,9942,383962485,401007125,5363155,5092,98931,34245348,70343633,8103325,662721,382693570,1984773,310176109,552548265,188291558,905833062,1119694,16593,905833410,50497541,19789803,419625361,218277,601312280,9166035,2182976,471103,819942481,553745330,54206,601458834,601456168,84,955465452,117172269,15258501,601456192,5620,905744132,648748,102413260,905962408,854496,315857054,346684261,348574231,8706,955592064,2,3969975,69059032,270440207,305570361,696259770,6079961,4955066,14746485,712226341,117175872,14762864,297214466,34245348,270895492,30470,927148,23744136,940088019,305123538,3798310,469459,49438261,307109743,449681,297214465,367364701,99661,693742533,59696,737134364,257528839,188261000,695831,637645,305123539,552572523,2639302,952975290,94677579,65772,44172497,9549,934744,321585880,416944512,2927532,779786096,536863866,76641063,151978,50077,30974018,81736899,50561376,308131992,305570063,417980105,905842671,94809039,5359340,3985542,2240961,6099100,298652342,1268917,329283810,9948117,9174189,796967427,73527835,8613078,8662897,9114693,79116090,2654632,378666082}

Returns: {5, 5686614, 26747028, 365831261, 3, 6588, 3, 5368369, 3, 552566628, 1, 1114290, 8, 99388, 642, 685094, 725, 19086, 34257087, 360, 662, 905831949, 28614077, 88564781, 1300669, 352, 136, 188298502, 2148, 29, 8, 50075, 25, 370, 807, 8, 6047, 93207, 753005, 3235270, 6428, 8, 737075713, 58992, 388, 8398, 15235871, 22632, 141182032, 276804146, 8466920, 4113, 44, 126670, 60109, 12, 204642, 307928156, 24908297, 67, 601448252, 7883, 649025, 15, 176, 37675, 305560667, 9397, 17, 9044, 37435, 79128730, 48366546, 226712169, 59216, 108, 95, 6117555, 10, 537, 50621475, 7, 5, 81, 9167601, 14, 59, 10, 67277, 955524738, 10, 7115, 198986, 4860729, 62952, 998491, 307116081, 933, 3, 94677923, 13, 19101, 3, 315862720, 40221553, 56111, 2978, 10, 336, 59, 9879381, 5347, 8, 30178097, 729867, 8434897, 30979563, 1, 446516, 10, 10, 6, 78, 16, 455227, 8, 9, 376098889, 1767077, 551980865, 876225, 48462, 5222, 70965732, 64050327, 393, 2243079, 8, 270895414, 11, 297095052, 125079, 7674, 2269, 346210598, 480099, 4969590, 9150227, 24969, 693717545, 5550, 5, 2645669, 69, 14841, 3462, 1777, 10, 2150, 586, 9811, 652997, 131190, 78, 4, 579, 5906, 9, 438, 5650, 69000742, 64724, 93, 9915862, 6, 47, 939, 10580232, 4, 5668, 143970, 7, 520355, 536352514, 321578757, 21, 7074990, 43424544, 12909, 29, 8614315, 1497, 2567393, 212, 14296982, 468616, 9, 6, 7, 819937082 }
{627,2695,133253,52116458,66010,1,347,49949,3,30796,866865,5147,60292565,6,676708166,7273138,1,8947,292642909,10,2105,286393,2,334517,1,673,84945,82961608,9273168,5477,1,12,47,53,1,84,1140424,1,74321818,299,324730,4,4578,67476,46134,630237823,552,87722,555,71144,88705,159715951,3777256,16784823,1,753,427958,80,65314499,7709237,1349441,9693657,1,1,1,5882,5029000,55711,9847,47408,1475,32,1,60,1,64552443,460,14,29276463,2482770,56928755,18346925,37,99799123,55061,1,7040,61946,199811289,1,1193134,9030,254,37,297,373538145,4578446,78277838,5940,321382044}

{685,2797,133305,52116499,66029,1,351,49999,3,30806,866951,5366,60292665,306,676708190,7273324,3,9143,292642978,54,2137,286647,252,334523,4,720,84965,82961615,9273220,5519,412,84,77,112,515,86,1140437,7,74322104,299,324749,5,4728,67998,46136,630237840,571,87776,903,71167,88839,159716182,3777376,16785198,24,754,427973,103,65314552,7709399,1349619,9693669,6,16,20,5928,5029244,55776,9875,47491,1484,264,46,71,2,64552445,528,16,29276676,2482881,56928809,18346957,84,99799141,55064,2,7281,62343,199811328,47,1193138,9049,421,65,529,373538148,4578579,78277869,5997,321382075}

{34,43,90,594174,2189,449445678,91038,723112161,572498,51449230,90443,3752,450152,82958,750403395,1,7328,2577107,8,654071,672676,2962156,829,81867,891438,2459,7846,55714,3185,181891,692797,1,1,1,76137002,403155812,89641916,9907,994334123,58843,1765,20,969868,1,2124625,6350032,5,8119,27756,13,776580,7699461,3615,62,662456,1,64,93,86192,3027,7248006,2181511,1,1,220,28180728,51615,341582637,55439,1,20233,30,1,91831,40983,832535,93122,86501,56,1444831,8,1884568,38612679,9540688,828655592,1,36506,10,1,6,1,485,4845,21562,257,6265649,49572519,1,84575535,1}

{144,53,91,594199,2297,449446087,91043,723112329,572511,51449486,90443,3757,450161,82974,750403403,1,7369,2577438,22,654088,672694,2962282,873,82078,891487,2793,8037,55783,3186,181895,692816,150,4,1,76137005,403156041,89641936,9910,994334491,59025,1801,26,970199,402,2124669,6350032,47,8179,27906,69,776697,7699478,3622,63,662469,2,292,93,86224,3189,7248021,2181616,13,2,235,28180733,52021,341582795,55759,150,20247,244,40,91882,41232,832806,93146,86547,257,1444868,89,1884589,38612686,9540695,828655593,2,36506,15,11,312,32,538,4858,21575,636,6265674,49572571,4,84575615,70}

"WBWWWBWWBWWBWWWWWWBBBBWBBBWBWWWWBWBBWWWWWBWWWBWBWWBWWWWWBWWWBBWWWWBWWBWWWWBWWBWWBBBBWWWWWWBWWBBWBWWB"

{97,58,93,27,86,57,31,34,88,53,18,42,65,10,30,29,84,40,22,0,4,99,24,99,23,37,81,39,95,87,56,84,8,6,22,56,70,28,13,80,6,53,60,18,94,37,86,22,91,19,28,26,79,95,19,63,19,79,68,46,21,89,51,92,43,66,60,79,23,8,91,80,21,77,7,41,39,72,4,98,66,68,52,66,25,54,44,77,4,2,27,13,0,43,32,92,12,56,48,53,91,99,31,36,77,81,38,68,72,1,73,81,42,44,69,6,88,37,23,77,39,9,22,86,23,89,18,13,23,64,83,18,72,73,11,80,71,33,51,82,32,49,31,68,24,78,12,1,6,75,70,56,6,25,91,32,17,1,94,14,54,92,59,28,46,44,42,53,31,76,16,99,16,98,49,8,67,32,61,55,87,60,87,61,48,73,69,55,26,33,62,76,37,99,16,30,30,55,42,37,79,93,59,84,52,98,14,23,75,83,96,60,92,20,31,38,67,71,62,54,88,64,41,87,62,75,14,21,4,24,33,91,72,35,59,88,41,6,15,16,64,71,48,83,25,51,51,42,28,37,1,42,45,11,71,93,4,2,23,65,26,44,26,78,65,32,88,51,71,45,14,11,10,63,29,73,26,53,63,30,36,49,37,93,19,51,94,79,84,22,32,26,89,11,47,49,26,15,33,54,7,86,66,46,82,61,52,18,29,47,50,38,69,31,63,48,81,98,95,73,62,75,24,59,66,51,9,48,61,57,39,98,69,45,6,17,75,3,33,21,82,13,45,94,15,83,8,89,85,8,59,40,79,81,32,95,23,93,40,73,62,84,39,95,97,95,65,38,95,11,58,67,25,2,75,52,43,47,8,75,98,24,63,26,48,79,95,77,53,37,93,65,84,21,9,24,35,57,14,7,44,58,25,14,23,23,9,83,29,81,50,52,99,65,78,51,29,7,54,94,99,17,98,34,7,48,1,81,53,39,91,19,45,30,35,3,74,43,7,23,3,92,67,94,58,46,41,74,63,94,49,92,42,24,94,56,98,45,36,39,42,42,14,49,57,1,9,20,73,94,47,0,34,50,65,18,15,6,84,38,2,58,87,4,29,40,44,86,91,9,97,33,99,50,29,68,59,50,63,93}

{1,60,98,56,95,21,33,19,40,22,67,88,34,65,26,15,42,57,41,79,16,61,85,66,45,45,69,31,54,87,68,19,77,12,71,56,62,71,30,32,17,22,10,37,94,14,74,97,15,19,9,85,81,1,12,98,56,90,45,48,32,23,91,87,8,97,76,84,34,34,27,81,39,60,24,9,52,5,33,64,77,16,96,29,89,73,71,73,98,77,44,85,32,36,39,0,46,6,63,23,74,74,61,85,40,4,52,9,12,93,75,45,65,97,56,97,4,37,32,50,11,76,33,91,60,3,55,31,28,50,26,62,31,52,47,67,68,13,75,41,59,26,15,26,90,7,92,73,55,19,57,22,1,32,99,35,35,89,2,72,47,48,1,11,26,5,62,0,33,54,56,13,83,29,33,44,48,57,53,58,33,77,3,23,48,18,48,31,10,9,48,59,37,95,77,5,67,73,47,80,80,4,58,4,90,63,9,23,91,61,82,48,8,70,48,52,68,70,93,55,72,29,26,85,23,22,7,45,96,19,22,44,92,87,43,63,25,93,84,60,42,36,47,28,78,13,37,58,50,5,86,53,47,32,79,26,10,28,15,54,9,49,57,61,85,21,6,11,26,9,77,21,89,0,57,35,31,85,22,8,2,44,8,7,60,74,34,49,75,36,79,51,43,45,17,41,64,71,53,92,38,4,49,66,17,84,52,29,92,85,35,19,43,5,51,17,28,18,34,17,30,7,72,30,57,40,7,35,19,52,21,34,70,3,23,28,68,82,37,64,62,93,46,56,52,21,52,65,19,71,23,43,19,42,32,43,64,72,46,93,70,11,83,54,77,20,2,69,88,86,47,95,45,88,94,62,92,66,86,71,12,56,6,76,73,11,53,45,8,74,33,40,68,18,9,36,18,66,87,4,16,45,8,4,50,80,91,91,34,81,34,14,56,82,20,40,8,3,83,34,23,92,32,13,59,80,24,49,91,28,19,16,31,92,57,2,39,28,15,0,0,31,81,17,8,0,41,29,29,15,20,92,62,23,26,57,90,3,78,20,6,72,79,69,95,64,23,80,6,79,71,30,78,58,68,14,49,40,24,43,40,44,54,66,13,34,37,32,3,87,78,35,58,76,16,99,58,68,17,31}

{78275197,71126930,84559940,82589109,379760064,3248436,158,75482946,199488371,16785596,634170024,200776480,47962142,28951258,769715,7449698,827736031,326349,815,3926924,71091,313869974,891478,316404809,636171262,636577943,20184038,59065,379141348,4,473253,828056565,485978,60651437,831,4,21726,9276294,609847,56928747,2495185,16785596,7640145,292652839,5,1427101667,11755,78278693,7264770,3,60688616,92988,16303883,379801065,60496584,84581552,1081760,2734501,636522547,27776,3248561,416562,167406113,66692,640450,73300642,8503862,829638443,76389411,75564532,83007842,40466436,3189442,8510903,722270853,51480212,3832333,449446045,68210,84581323,5063755,57971,50370057,5153604,3434,570694,2170740,5338,84633317,219747,84984384,82969,668,90714423,59119,5085,60742257,518377,28332,16532328,49568,321423037,11875179,90782364,409471,20163233,1064875149,51414926,60742787,24200,65293095,616356340,27212016,80356399,380784,78368561,199747559,3,416548,778736,59962,51386638,904,37813,8180864,52710627,292642203,82877,9017543,865062,109246846,292642958,69,3865533,87000,398455860,65251,83026,102030661,38612704,7712360,21764,7273402,122484,2084606,752338737,60737549,94446,91448,64730898,21554,428513,93370,3423,321373476,403156076,400587665,2719,133191,1427111545,742100,23060,7709656,9268594,92422,447367551,974623,16784180,156,569821,435025,321464983,109332494,84394143,71152,1598293,341610173,129,9272715,65399995,62201,8510907,52648386,11458688,4,292734713,74694,837,864331,51480162,28337,7798766,1,58421703,79217,448753291,340945708,92527,1044807,56938678,55890873,85276,57688340,828664282,2587862,84581554,1375631348,0,65375454,97464550,15538324,8569129,568070,653082,28233,1064875152,341573196,21668,21613,663215,199811348,187179,92968,62274,416598,65384153,703949255,633339256,54082762,237400,904,2161275,5238,403218212,7644464,199811309,3451,69778,835873854,8590120,974392,90782306,106853,100063481,29278456,167332680,167405728,66193528,9957858,449436187,40999,17749936,636491956,8858,3927578,98442,889033,9142962,7020885,27524166,51495549,2149644,92821,21764354,28186638,3248557,199902001,167406737,92932,675306422,1427025021,3239703,957278,717,187239,403064233,92887,16784895,836,120298,90648973,2149645,562606,723140711,7943370,167374637,76136994,3856414,892320439,90781533,3927589,167322655,67924,636578955,2647935,71204,92756,7273324,16784819,658029,345493818,93007,5010042,5080698,36044356,836112587,5,292819317,182139,95905,402468087,1068002052,20467,449446003,167415640,2558242,10955166,377212506,443409439,2494685,692798,786782239,891435,8398923,5081090,167089123,671682091,403128745,11221190,3780824,3189437,8444517,66238,583877202,343135,11838278,65319678,90134914,9979,3248374,38612727,61429,636587293,427690,3499568,106091231,4346262,28186603,654096,572505,7453683,258582,3273544,19256897,2,379735876,416365,21579,325957,70282,21731,828701752,109280665,379141347,78364393,379129011,28308043,1068608660,179992511,34853,65304842,708799556,636584386,199678092,65384415,3780993,72384,4985363,543247,65384928,144412070,1319159,91389,169559,64558,3918733,363018931,636501298,17357274,31107,21599,28497771,828645347,295318758,0,89890893,695798897,5081091,1427049305,723126080,2163464,571187115,570453,1427043296,940317,56676340,51470709,109330300,75960594,0,75449096,1423330591,320954351,10437819,29946958,167089122,396130,774584598,108677359,76136996,321129589,2581299,84581506,76054073,730768456,56955995,894145,20160294,16776212,9328557,662634,646753,636587754,688359,403155956,52577271,18160,9208414,730335656,415888,52709947,5177,357989431,2586000,65800857,146,0,146407,187411,7273301,741657,0,974623,1143914,92418,428090,85762701,583877199,117777901,615640,883235,974587,1423183944,23747,379803644,2877,51671074,57599327,1080,3927062,95844,693445,105413374,65916228,28129262,1134468627,7202215,413635,827819179,1068588198,193133,67306886,724718,5012981,104449,76459906,2160892,43708,52701133,51480884,49001464,403156052,256153680,771692,180071,321427599,57688340,799984,2586577,21511}

Returns: {678, 56, 2712, 53, 133303, 91, 52116470, 594186, 66010, 2278, 1, 449445678, 351, 91041, 49999, 723112309, 3, 572508, 30806, 51449412, 866865, 90443, 5148, 3757, 60292588, 450156, 11, 82961, 676708167, 750403395, 7273139, 1, 3, 7361, 8991, 2577259, 292642923, 20, 15, 654084, 2118, 672689, 286433, 2962166, 17, 829, 334518, 82077, 4, 891473, 707, 2762, 84945, 8037, 82961609, 55730, 9273168, 3186, 5485, 181891, 3, 692797, 20, 94, 77, 4, 77, 1, 39, 76137002, 86, 403155913, 1140424, 89641916, 7, 9907, 74321819, 994334125, 299, 58869, 324730, 1796, 5, 26, 4728, 969896, 67792, 196, 46134, 2124632, 630237823, 6350032, 571, 47, 87730, 8173, 555, 27781, 71155, 69, 88712, 776585, 159716071, 7699469, 3777350, 3622, 16784829, 63, 24, 662462, 754, 2, 427958, 291, 91, 93, 65314524, 86216, 7709263, 3141, 1349441, 7248006, 9693659, 2181602, 6, 12, 16, 2, 20, 234, 5898, 28180728, 5029026, 51833, 55724, 341582716, 9875, 55451, 47475, 124, 1484, 20246, 177, 179, 6, 40, 63, 91831, 2, 41007, 64552443, 832543, 528, 93146, 16, 86547, 29276559, 173, 2482772, 1444860, 56928761, 40, 18346936, 1884579, 56, 38612679, 99799123, 9540688, 55062, 828655592, 2, 2, 7248, 36506, 62255, 15, 199811297, 11, 47, 69, 1193136, 21, 9044, 490, 419, 4857, 52, 21573, 428, 405, 373538146, 6265672, 4578446, 49572519, 78277838, 4, 5975, 84575535, 321382045, 70 }
{54,683317256,18081017,1,70643951,969062,1,72,3680,225022,548689,88785656,50,1,11833,1,799,4822,73008638,3313,7171,39537890,4060,1845,7,1,7,884,45,1,1,51690038,2694797,72379,67520,39266,1,60,2,1,11,2096,565,91316,65438550,906437,6747,2,933,40,7601,82064590,268539047,420,296509612,4498965,72454573,365840736,1,324,7484590,893371065,1,410,547310,8685,279,1,1,344184552,270087,75,772817058,7856,9,248,6384201,1,49089488,252552209,488326,1,710496507,11523,1,1084,66,387,1,82,12152,9182244,694981471,11,19943,558362890,93800665,6009,312282,988}

{241,683317258,18081026,28,70643973,969736,206,74,3696,225024,548788,88785681,70,42,12189,4,946,5149,73008870,3346,7381,39537897,4078,1942,8,20,8,970,97,86,57,51690047,2694799,72435,67848,39315,47,166,7,5,33,2270,579,91497,65438664,906441,6806,4,941,87,7606,82064685,268539053,443,296509617,4499007,72454758,365840908,15,329,7484650,893371452,1,571,547802,8986,442,5,145,344184571,270132,83,772817068,7860,245,270,6384263,114,49089503,252552280,488338,11,710496522,11536,33,1292,99,394,118,84,12217,9182340,694981472,155,19948,558362919,93800667,6019,312684,1007}

{7637033,112945741,1,9845,685277563,118015,1,757415,648097695,2169196,43021,124,8,1,78,42331198,73055959,1,414695,5711234,463992,8198,8341869,174855702,5988952,266149,1,739,996021,7004689,1,796557558,9851,467,81005624,455314050,71519,7096,1,6,1,1,1,64272565,223919,7143,1,76709756,70089335,1,6,995,692,210,8,680353,5877380,70757571,4315,1583888,29646957,83,57794373,229824,27778,3,30492061,73941265,3,1323178,50090,1,8459538,125403,286,7676,1,2322,88,2,1675,85,1,105,1,82765,594980,862900,1,84786642,1,72029560,57061,7384820,92822,6162,50135,401766,49647830,572825}

{7637066,112945742,357,9881,685277784,118055,1,757503,648097699,2169375,43045,218,8,16,271,42331211,73055971,32,414696,5711729,464002,8469,8341907,174855717,5989078,266205,135,754,996053,7005056,187,796557611,9852,503,81005632,455314296,71522,7096,5,41,13,215,43,64272565,223932,7160,14,76710189,70089512,3,8,1381,770,327,29,680355,5877767,70757573,4320,1583892,29646978,387,57794380,229850,27794,36,30492208,73941593,36,1323306,50115,7,8459543,125413,286,7676,83,2346,92,2,1676,194,13,127,109,82768,594984,862922,189,84786690,30,72029560,57101,7384822,93011,6212,50170,401882,49648049,572830}

"WBWWBBWBBBWBBWWWBWBBBBWWBWBWWWWWBBWWWBWWWBWBBBWBBWBBWWBBBWBWBBBWBWBBBBBWBWWBWWBWBBBWWBWBBBWBBBWBWBBB"

{74,15,89,59,85,65,51,27,17,6,39,26,61,43,33,80,20,85,69,76,46,41,55,79,96,25,23,2,30,94,20,83,51,75,24,65,48,40,64,71,50,85,9,0,57,69,31,69,24,13,41,97,67,46,16,30,84,84,89,11,49,16,48,95,31,57,47,48,80,56,49,90,32,65,4,56,56,2,27,7,47,13,64,89,63,62,55,15,53,57,20,92,65,42,47,1,41,58,8,55,30,41,60,11,2,75,66,93,40,52,51,80,27,34,36,66,58,30,24,83,60,44,69,33,71,15,10,5,18,63,48,4,83,61,90,24,69,85,3,64,65,28,67,43,52,89,18,25,84,5,46,68,41,52,24,34,54,82,31,7,30,9,92,25,5,21,5,50,47,26,14,31,14,55,11,13,73,15,39,50,83,84,15,85,55,59,0,61,97,90,80,88,33,30,25,0,7,9,67,10,82,17,87,75,71,55,51,59,9,27,11,6,67,5,95,65,19,35,89,83,70,89,80,76,87,51,65,42,87,2,64,84,97,67,73,47,4,66,75,2,2,83,0,35,65,5,76,47,54,76,53,15,68,98,13,43,65,14,5,33,8,22,0,9,22,77,65,6,78,24,73,7,82,66,80,94,90,56,46,13,62,61,5,11,90,19,18,57,41,63,14,25,66,11,9,45,78,7,36,19,32,13,46,72,17,1,87,32,2,57,71,21,15,60,20,51,31,35,80,67,50,56,46,24,53,60,89,5,11,23,68,8,10,1,13,20,8,27,30,48,84,82,14,63,62,8,90,36,9,85,71,31,27,84,14,1,21,83,74,95,29,26,58,11,2,43,14,4,1,2,6,29,23,11,74,49,80,0,45,97,64,36,68,72,5,60,37,37,88,2,17,97,64,73,84,2,41,68,50,1,21,91,27,39,26,3,93,3,1,98,3,86,10,26,32,3,6,41,56,85,99,13,77,49,56,3,27,83,23,83,29,63,52,51,23,65,2,43,32,24,67,78,36,14,57,5,94,1,91,77,69,40,99,22,97,10,40,0,46,43,7,60,52,49,68,33,38,19,59,88,40,73,33,74,10,66,69,70,68,15,65,38,73,62,66,37,10,71,59,7,73,48,34,24,71,43,0,70,89,12}

{20,49,64,41,70,65,85,48,42,70,24,59,60,11,84,71,47,23,38,70,6,10,2,93,6,23,49,25,47,4,65,34,75,64,4,3,91,35,1,8,69,92,38,69,95,50,20,15,50,0,46,53,37,77,94,8,83,97,73,74,44,97,4,21,32,16,7,95,95,40,98,99,43,22,69,68,35,99,61,10,10,66,34,52,45,54,3,3,17,78,50,60,25,86,0,86,85,44,80,99,35,3,28,43,34,57,91,14,67,61,31,64,45,21,65,34,92,88,54,93,21,87,51,90,99,33,47,14,57,89,92,86,65,85,24,25,1,64,49,75,79,33,72,77,82,45,71,92,91,53,69,11,32,40,13,24,72,3,35,58,60,70,93,28,98,72,46,83,23,93,37,58,81,21,45,65,62,39,11,39,90,39,48,79,98,30,71,23,80,84,87,81,58,22,32,76,13,91,66,36,60,45,72,43,37,90,2,54,73,28,34,91,33,94,16,75,14,72,23,86,71,96,10,55,98,84,77,95,13,60,75,35,88,56,25,97,87,72,82,40,46,64,36,6,73,85,38,93,89,23,8,92,71,18,26,12,72,39,43,14,20,55,46,45,3,24,16,92,99,64,2,77,56,5,54,95,33,25,67,68,39,12,24,45,83,4,10,39,41,28,98,25,6,52,48,11,7,80,38,22,32,53,72,59,13,89,45,42,24,97,5,87,76,65,52,86,74,30,8,33,14,94,46,62,80,34,67,16,19,16,63,89,14,41,12,58,60,25,84,17,7,89,89,28,90,29,61,43,35,37,4,99,28,73,6,0,53,17,6,15,88,53,49,78,99,99,67,80,35,24,79,57,99,45,73,43,73,88,13,7,50,1,92,73,49,11,13,9,42,89,61,37,71,33,13,51,98,24,24,67,84,38,18,50,95,26,20,35,35,47,66,24,73,68,18,3,64,25,57,13,88,89,14,45,35,20,16,23,82,63,3,50,44,24,71,83,6,34,2,17,11,90,57,75,10,86,52,85,75,25,35,73,42,97,68,4,3,11,36,9,83,29,93,21,13,14,94,74,48,73,25,93,69,10,78,57,11,97,81,3,58,52,90,89,70,68,73,22,4,14,1,3,83,39,47,38,87,98,0,35}

{470878,42331297,85306174,1585826,301721,0,82145275,70088678,4611,320217,5989067,1584209,915533526,152966790,72874,489929,76253272,174773760,345507731,6164203,6755,589534,14262410,259937017,93850823,174591394,174857521,18347218,76710108,755808574,465526,81061503,82071018,567235,749932448,18539,11121465,455353486,795687838,648101305,345500129,695006084,2394377,350498380,263273394,345500128,847776460,385192584,5996659,7637103,4480,407222,73934567,8980,72981952,648101374,11648,407893,84669026,88785816,65662384,72659144,685831183,518827304,845542985,368138350,75952749,628445204,557879049,78332461,49960643,584049,66866196,8346533,957494977,78332350,521851977,18652862,893370993,1263117,77215865,30492371,81457709,353324854,1128562,354303982,5169471,42321369,4937,387508891,464427,717086759,274892,595422,69073095,795667920,83944,65658143,648580673,4605504,455353504,12106,36135482,152966790,99019130,436590551,50719418,7396695,73941599,624832891,826931137,85157,911924,120467533,80216,50580765,695034211,83,302498665,7396205,61691781,66077147,263442145,60664,573740,42403094,77215866,1075344,363175146,84557306,765012879,755326444,2945,893452852,6001271,5722866,450755263,601283,9928,567235,252543512,1067873,838299117,64361439,441958232,85685866,73423258,695190600,81211804,1086712,345500982,88785684,2702373,268539795,5989059,75084078,484766982,710506354,392894122,753169,37131558,2164379,702309212,729871,50186696,741730241,1080629,4041,98147504,7384822,18909,848243305,12067,35710812,87886248,8711,57676832,42331204,88785813,7603,814,6,27759129,252633889,53153980,1584210,7637081,1068224978,882524,12210,1349173,105,76194,8345971,2951143,14021248,757482,78817423,43449795,577284,732658866,908438,780413310,64355955,7098,5167107,63984569,298093165,2261118,996168,169723650,81211803,74013473,974435,631411743,16122,5720013,1219632477,90070870,606281,320144,178537083,101805,2565629,49097439,82065592,10939,558368434,863277,40243378,567234,455353510,407817,140518616,148649,76314232,755058230,794849322,710503937,18081013,18074284,563511,7565597,455353511,126244,1003536,6384245,69325293,381296177,181238048,648100707,737255614,62,121929311,21,64363822,781267897,12034,65032578,60833,647637188,12156449,7643745,2843632,8336130,5986820,73063710,695038537,49661250,6508662,18198570,755111,643919484,31343125,296022949,558429791,60663,78066274,73948328,132,57794374,893371278,6840390,87886249,815,750206704,72831523,436598471,1,766723,49948689,0,30492385,179754000,68144136,87886249,49846765,1244009,71518,2631160,1,658,781269847,779692385,5163,711476261,1761811,2704030,24070083,436190583,1087309,40391943,48715452,37122860,268995109,82658478,848247336,455353504,648580672,74013473,4433,78219538,0,51805319,489332,58775754,10845148,73906343,94493668,101800704,230244,563314642,579768,796260723,58,466847,625931662,266375,7,70093624,757495,795283085,84798460,766723,57806590,641096269,893359125,64292359,453330612,76681,755921448,847673819,996168,133264,12040,788625882,39545689,6500,296,600687940,7005033,666,4397,39696234,18652861,63790066,73953476,755431518,1025646467,24070084,252552210,429593366,174283793,87886248,132969,64363794,604203,7637040,913572,361485,567552,796191477,695038402,781143338,1087297,110947896,7154,2387214,616,102867596,893366188,400726,575086,189432,15,63984569,49958454,5989178,5996659,722321409,39546362,81211800,73421669,7603,558369045,9850,6927981,455343664,1025646467,27374735,30482540,5394177,623312,128,70718685,0,575159,268460,358265992,83833,573736,84786724,14128,913500,521851977,461327,73055242,174865202,885350317,240665,6995264,236866,203323651,88052655,174857532,2945,18081022,16756860,15396076,5994209,162727130,49077375,436526957,19311,436006669,1446214,268611342,796179151,81203878,263955,798136324,133240,573196,7941968,407758,755329713,9852,96422547,78259,62236911,768750,30126454,275923090,39546275,132,60833,112945,5714521,68506124,133187,266207,7267262,345434862,591513,48583647,406106092,256721917,615908,298,42321369,13007,268539815,129759,26992359,30711835,7140,623313,8345902,754337306,769240,796129734,70080493,81061503,5989067,76710176,64363875,6774490,49640512,77149621,455353453}

Returns: {60, 7637060, 683317256, 112945741, 18081017, 17, 12, 9848, 70643958, 685277563, 969241, 118020, 205, 1, 74, 757421, 3682, 648097695, 225023, 2169360, 548783, 43029, 88785672, 147, 53, 8, 8, 16, 11893, 153, 4, 42331208, 946, 73055959, 5130, 32, 73008639, 414696, 3346, 5711483, 7175, 464002, 39537890, 8469, 4077, 8341869, 1896, 174855702, 7, 5989066, 8, 266202, 8, 35, 934, 754, 57, 996021, 77, 7005047, 8, 16, 51690038, 796557558, 2694799, 9852, 72379, 496, 67520, 81005624, 39315, 455314159, 11, 71519, 75, 7096, 7, 5, 5, 11, 15, 13, 2270, 15, 579, 43, 91318, 64272565, 65438552, 223921, 906437, 7152, 6747, 13, 4, 76710091, 941, 70089400, 87, 3, 7605, 8, 82064590, 1013, 268539047, 767, 424, 258, 296509612, 29, 4498966, 680353, 72454754, 5877729, 365840903, 70757571, 15, 4320, 329, 1583889, 7484598, 29646957, 893371066, 83, 1, 57794378, 556, 229824, 547376, 27783, 8712, 16, 298, 30492091, 5, 73941584, 111, 36, 344184553, 1323182, 270122, 50099, 83, 7, 772817058, 8459539, 7860, 125406, 194, 286, 269, 7676, 6384214, 38, 102, 2344, 49089493, 92, 252552210, 2, 488331, 1676, 5, 160, 710496508, 13, 11523, 127, 5, 17, 1086, 82765, 98, 594982, 392, 862903, 22, 85, 84, 84786653, 12207, 21, 9182245, 72029560, 694981471, 57074, 15, 7384820, 19944, 93006, 558362890, 6165, 93800666, 50166, 6012, 401881, 312580, 49647933, 990, 572827 }
{78,919888654,406163,97,974,575,32,2422,6,98305230,87239,73,421007643,45156765,61,816,25,63677555,138858,1,1,1155932,33816090,629611112,162,964,70445594,1,919162839,1,3295755,9983934,9620402,778965,17,15144579,966076407,244224,225678407,58520,448527,149,327240042,5250,188313,1,87152146,577250,5383,177,292672,957007,71698319,6,1,85325,1101,1,18,118851000,692,1,1,1267105,251,7293,46078197,3630713,875066994,674511,693828,504,56,5498,64093252,114886,83870,8493100,92401,1,1,2665408,1,1,58911,886667,793817573,509643,48833666,1,731,18,295397,990584449,547,26269,81,939443,1,67582}

{80,919888829,406164,108,994,576,44,2426,121,98305447,87244,200,421007669,45156767,108,817,33,63677871,138895,3,1,1156134,33816093,629611198,442,969,70445618,7,919163068,18,3296139,9983956,9620437,778971,164,15144584,966076410,244423,225678767,58756,448534,153,327240045,5577,188313,311,87152171,577365,5416,217,292700,957019,71698351,10,27,85360,1123,3,28,118851004,824,11,13,1267382,593,7491,46078202,3630715,875066997,674701,693829,758,62,5613,64093399,114992,83895,8493369,92533,1,343,2665441,36,18,59120,886943,793817575,509646,48833684,48,736,380,295579,990584456,553,26306,94,939447,6,67594}

{13492099,1,26790684,4804024,97291,369060767,319089,16,239543105,87692,66,8059,1,1,1,9,603395,6699862,851188265,1,1,7102014,1,187224517,86730,1,340,20806561,477882,2525,8466494,58492,226,1,75,150136,1984,1,1198,849934441,67,9603,166169,1,41,9,58315788,99175,41476,1,725045,509308,58,1,1,7632736,4,47,688097673,30376872,847,845,26,281,46,1,699939,36358047,1,8397397,9805,5,603422915,1,4329624,486542,1,1,169632,1,1,3545205,135206148,3708487,70,5163,529,1,6364360,4270862,179224,54740,1,3385131,1,32,379,1,1,1}

{13492107,13,26790686,4804027,97342,369060771,319105,108,239543230,87703,69,8513,2,45,5,18,603400,6699906,851188294,19,37,7102057,6,187224544,86761,14,352,20806565,477885,2526,8466706,58834,500,8,82,150196,2345,69,1288,849934478,69,9611,166284,3,291,137,58315881,99231,41489,11,725097,509707,304,315,2,7632745,76,48,688097684,30376897,858,862,62,395,211,10,699952,36358050,231,8397579,9808,42,603422919,33,4329627,486544,59,174,169635,248,23,3545331,135206186,3708647,98,5449,588,245,6364367,4271093,179351,54742,7,3385250,3,152,506,3,20,261}

"BWBWBBBWWBBBBWWBBWWWBWWBWWWBBWWBWWBBBWBWWBWBBWBWBWBWBWWBBWWWBBWWWWBBWWWBBBWWWWBWBBWBBWWWWBBBBBWBBWBW"

{6,30,8,34,4,88,48,97,25,35,11,62,84,13,60,79,24,74,21,67,38,67,69,83,3,88,89,85,46,66,37,58,85,75,82,4,10,13,25,49,1,85,47,16,16,84,89,41,77,93,42,22,20,3,19,29,6,3,22,59,98,23,33,88,69,88,59,66,0,25,16,9,30,60,15,20,84,19,56,36,1,2,69,87,92,69,90,55,49,94,38,11,83,26,67,89,17,96,32,75,5,32,79,0,93,85,84,86,78,33,84,15,98,85,61,77,75,37,55,76,21,44,93,88,80,58,3,19,98,68,22,48,52,83,59,80,79,54,22,84,34,10,97,48,40,98,63,17,63,31,16,88,88,88,67,19,61,22,61,94,97,31,98,2,60,24,47,62,42,48,92,20,37,1,81,7,78,56,29,72,93,69,82,66,44,15,20,95,80,48,54,9,52,77,73,30,82,46,84,64,53,39,84,71,99,5,96,9,23,30,40,70,7,31,47,31,74,0,28,65,47,39,36,9,20,20,98,30,23,80,5,35,71,99,33,76,54,95,5,59,88,11,66,29,17,33,59,27,18,16,59,57,20,33,3,8,7,33,90,98,64,1,29,13,8,51,34,15,98,21,4,97,22,85,58,33,24,69,60,38,88,89,69,40,62,55,82,0,20,61,32,53,64,75,86,65,58,34,56,38,63,70,32,41,9,85,78,35,75,89,68,62,44,20,54,25,97,5,77,73,41,34,68,51,97,41,29,81,83,28,57,59,60,61,40,73,3,78,22,18,16,93,81,63,71,61,74,2,60,36,98,10,34,98,7,78,13,14,87,43,81,84,13,72,7,45,53,26,35,12,75,8,22,48,70,39,27,22,33,70,8,17,5,75,43,8,8,19,73,56,28,14,26,67,76,93,66,37,55,36,20,51,42,69,91,53,38,79,77,3,95,62,95,5,31,43,17,3,18,17,14,34,6,75,57,17,75,78,9,54,86,75,83,25,19,17,10,94,12,11,21,38,23,46,88,64,26,50,26,50,15,76,5,83,73,73,4,78,9,38,52,17,72,71,34,10,28,46,11,63,0,27,61,34,34,3,84,77,45,27,10,40,74,67,88,2,59,68,89,19,34,94,1,63,78,56,63,9,80,75}

{10,59,15,91,87,48,78,22,12,39,57,89,75,69,39,69,14,85,58,41,61,79,70,49,19,74,51,36,74,72,73,46,95,87,20,89,23,87,66,19,87,40,32,96,2,38,52,59,94,42,19,17,73,92,38,56,34,97,79,18,83,8,14,26,82,39,61,90,85,25,6,10,93,81,64,34,90,67,84,41,4,10,37,56,74,65,77,47,68,81,99,84,66,76,42,95,74,46,97,23,62,92,0,12,5,36,22,84,63,17,95,7,14,69,22,19,5,46,75,26,61,98,69,39,29,70,77,22,50,17,88,57,13,53,76,46,13,22,43,6,27,20,84,41,83,0,80,77,26,82,51,86,18,57,4,55,49,91,43,97,21,81,68,18,98,82,59,64,46,42,94,43,11,8,43,99,6,49,40,39,90,6,78,13,82,52,83,36,66,24,76,12,83,10,77,74,96,18,89,84,86,95,52,69,14,66,12,99,43,59,42,55,26,87,11,47,1,97,26,57,62,62,45,12,62,25,25,60,82,22,63,36,30,45,36,71,97,19,31,91,39,53,96,22,34,42,47,28,40,56,30,56,78,63,9,59,29,17,0,90,91,27,97,25,51,8,56,90,35,69,37,77,99,70,78,76,87,58,86,23,56,33,8,7,70,38,43,35,7,73,42,31,47,93,73,32,68,10,19,6,43,2,39,81,70,74,0,72,4,57,86,56,85,72,92,33,65,99,72,68,67,26,71,24,9,32,57,25,82,40,6,2,3,61,47,92,77,15,91,94,18,83,46,44,31,59,78,72,75,83,29,58,94,87,38,94,8,10,54,78,92,90,18,86,40,28,17,65,14,89,31,19,65,96,58,71,3,76,22,51,42,58,88,26,96,61,47,71,40,94,91,71,81,67,89,90,84,79,44,58,20,41,70,45,71,96,60,86,50,3,21,50,92,28,81,4,61,23,77,27,6,69,94,54,36,31,14,38,13,64,91,59,86,98,6,28,49,14,10,90,52,73,64,9,71,42,9,40,37,70,34,71,11,21,33,4,44,9,61,33,25,3,94,84,65,42,83,76,61,16,43,67,49,9,45,99,25,42,82,19,67,28,41,91,91,61,63,6,34,16,2,66,94,59,40,32,20,10,31,81}

{406279,137465321,239543915,54703,605949,55151205,215321,32876686,421006712,864870121,8580,4270891,542438,52879698,849991673,9072002,86847,67530633,682151742,39979012,225679123,39988773,8407012,3708705,4804144,17294325,4718169,965192989,77045103,648801136,238665,716934048,865924,881284,135206175,4174581,816748420,44647158,46777194,203,919379217,443671,9141872,602948,26593458,225620965,75969124,149218166,8492573,666563426,327406363,36561677,5618,5099527,225679985,3659,319065,5743401,33816098,939523596,3708522,681929813,778918,27975993,127483250,892345020,149227054,46598076,14373493,18,284352,98305844,992369993,6209222,560,101,237506,39988784,57948,966083893,919985149,27109568,8827709,508567,68127296,9064729,8671742,8025493,875066827,6210215,225612423,67340,49086778,70362095,359801117,4297104,2785651,145467387,8681462,816234282,369061339,9325317,13492201,434499717,1356259431,965192993,33757253,793759156,1344229,69598802,32715,1625,136,8604407,33816954,8493159,368688590,145223677,7175828,70362109,8257235,188429,994922217,892345036,2577,688781713,13297058,33816142,1017822,818089012,21381982,46854,26541622,3708542,149144018,145467945,45156802,33816110,33810700,378005,20806535,87325,880572,37140,4156988,13492209,1267641,61884643,69178302,145131647,1050713,751347698,893518769,55198005,39890480,7718132,1011,33870830,6256,938942,7318655,10805378,875067023,824664952,1571,135119616,148551478,335,298237446,327359460,295069,5456,252619,1159431955,6205333,65200,242016,978,451033,246570253,993789621,8752845,135129078,1621383,135394432,71697607,3708508,966052078,46778107,50528,83943,322789925,75406836,8405940,8487537,64934406,135205768,879885824,4329768,58706,793818173,849966890,71639442,9071491,67527,414438475,421008083,98325590,816830315,137465302,326957750,8231444,70443542,9532841,667880,9447379,860125191,14431503,849195025,7371,676419,849993159,966078475,322789934,45,1007,999,11761095,681629538,33816067,370327321,951080002,11762092,67630,965299500,83417,939448,26363,378985663,149173101,892345033,8608,46777552,33818633,70377677,326627383,148551459,939491767,851497946,604484,137465325,1177,262170,488725,103021720,328017238,4971,69598775,13313429,180100,54990,940695410,942000,45155884,239990436,239990447,1214,179473,15294802,1777056,340505,7553686,33748509,197409,688020582,695118,596233,680374748,793817208,591155777,55196930,5049833,231820160,446193,703624,233224942,135211584,28486427,2464,6450,317785442,10042492,676134,993368272,793812587,9613640,1563164666,87248,1126,225996621,1262268,27068581,859495661,6201021,97689503,67530652,13414965,618417265,503225,4270881,81250011,1166,703908,603422971,295589,778026,932188,369127819,611916009,875061438,39979035,70445888,875066542,1379831,97453687,9629403,2519,6209814,131497713,919192377,319131,122031071,4803802,24,227859,289979,13297062,261362,33870837,851326639,850723735,990907744,139257259,1079269,10041990,149227073,68160733,577038359,599959,969782941,2530,688184834,633,509654,225677530,261622,284699879,87257,509664,256813,5915169,237539,896206180,1397239863,446160,919640949,70377740,70438660,15294715,425278489,10297089,239543138,33808840,46341,688781721,849992718,16002661,33732216,33037159,763101,566616887,745075706,411529529,70816887,5847,239542272,240021209,548,442995,578,919586181,468,71325230,7,4354736,993789668,46719125,244303,7735653,1654172080,2,1456989,326702728,9071974,55239,608,225678434,793818157,8925536,23,8231766,1017776,269377,1287745371,10805369,101730,70376913,812031601,859542581,77784568,319195,9071935,319662,601468,966078409,60335275,601392,225754687,53236350,368,793871700,148626420,797525515,963,319158,861707193,87140,483,420920512,171507,77644243,225674380,816835394,69381430,55197571,327406025,27947197,880915,70201698,1116466,915,83398,369052770,4549577,773391,101927,284529,98294878,98392287,224900985,71697478,65573635,603423431,58555,7353,327319041,922393700,145384102,7780,1870488,13497431,19182233,1048,98393063,97,4871533,58079,318913256,135206189,20806574,39901470,919192358,68413138,39933995,55143304,27196009,147960252,875386094,4270825,603425,27196765,46777585,919888295,147960248,525591,9619805,1267667,98305866,10042435,5609300}

Returns: {80, 13492099, 919888658, 10, 406164, 26790685, 108, 4804024, 994, 97291, 576, 369060767, 44, 319089, 2422, 38, 23, 239543105, 98305413, 87694, 87243, 68, 184, 8445, 421007643, 2, 45156765, 45, 108, 4, 817, 18, 32, 603395, 63677870, 6699862, 138889, 851188267, 3, 19, 1, 30, 1156041, 7102035, 33816091, 3, 629611112, 187224517, 206, 86734, 964, 14, 70445594, 340, 6, 20806561, 919162951, 477882, 16, 2526, 3296016, 8466584, 9983935, 58580, 9620402, 456, 778970, 8, 55, 76, 15144584, 150181, 966076407, 2052, 244227, 59, 225678637, 1248, 58755, 849934441, 448533, 69, 153, 9610, 327240042, 166258, 5413, 2, 188313, 136, 116, 84, 87152147, 58315788, 577279, 99175, 5383, 41476, 187, 11, 292700, 725045, 957007, 509657, 71698321, 82, 6, 158, 26, 2, 85359, 7632736, 1102, 29, 3, 47, 28, 688097674, 118851000, 30376872, 738, 853, 11, 846, 1, 47, 1267292, 340, 327, 55, 7316, 10, 46078197, 699940, 3630714, 36358047, 875066994, 30, 674511, 8397433, 693829, 9805, 541, 10, 58, 603422915, 5605, 16, 64093252, 4329624, 114938, 486542, 83895, 23, 8493110, 14, 92522, 169633, 1, 11, 87, 22, 2665429, 3545248, 30, 135206148, 18, 3708487, 58963, 94, 886852, 5420, 793817573, 567, 509643, 35, 48833684, 6364360, 48, 4270863, 735, 179326, 93, 54740, 295574, 7, 990584449, 3385210, 553, 3, 26288, 97, 85, 500, 939443, 3, 6, 19, 67594, 14 }
{943419542,1,49894037,441257387,9660196,8786573,34474167,1,1,68794,5320266,24744,1816197,7355041,10113,325,4103,511,655888,3429698,112023441,46,631186881,93896889,67458,44886111,1,46,256981552,207709441,4141317,88740722,40,417027296,515748658,1964403,8225,100639,543,266855811,3412810,926813549,68732600,53513,192559325,1,1965,451993733,1,76891,641558370,1,208811,895,332577326,298095708,1706926,73921477,1,26828792,511830164,725,619707,75554143,2540880,3864302,630,1,1977,998,8967100,14838983,9,75416219,1,98583039,1,274976603,98481976,1,48949998,9445360,68,138,944,878220,8431,65936,33736184,214081217,69,4042821,8019,909173,1040,3801,1,2,126777,8567}

{943419543,22,49894055,441257426,9660209,8786574,34474436,5,1,68862,5320270,24780,1816199,7355073,10124,328,4134,646,655933,3429712,112023462,60,631186881,93896899,67485,44886152,1,215,256981621,207709468,4141412,88740851,51,417027443,515748669,1964408,8227,100951,563,266855834,3413030,926813560,68732843,53523,192559339,62,2013,451993787,92,76944,641558428,1,208998,906,332577506,298095715,1706943,73921607,10,26829103,511830446,746,619711,75554172,2541208,3864306,636,3,1982,998,8967129,14839023,25,75416255,3,98583077,4,274976638,98482129,42,48950001,9445376,84,141,967,878411,8441,65966,33736198,214081219,76,4043068,8036,909188,1087,3805,12,150,127217,8718}

{8299771,705442,874385784,41396,68875,7190430,68187929,93113,25,7421999,165399086,649494981,3371660,7383510,394016689,296,1,7692642,6,773505266,7964,5,1,702360463,1,2319363,76536,3,1,5935,1941355,1,853,1474,1,308,13032439,663239734,48993061,666051791,82825,6363,1,1,65741877,37,585,44459,49944111,1,1,649432101,75034011,1,1,72,583646744,62275675,7949,7050015,24187710,607902705,4205634,564,92820,82741,15748,1,903,444,3,7925912,14,917417,2080297,639560949,708630512,1,1,961635835,3484337,6783931,299,1,1892708,159585904,572,7330,64093,54791,24524548,1,619607,3,579,10479,41,50856613,76705012,65396847}

{8299864,705444,874385903,41535,68878,7190451,68188155,93158,307,7422008,165399184,649494984,3371915,7383551,394017255,308,68,7692654,6,773505270,7976,5,2,702360468,5,2319379,76550,21,14,6330,1941387,58,902,1486,58,308,13032452,663239738,48993466,666052080,82897,6366,15,1,65741882,158,808,44463,49944118,283,273,649432227,75034018,94,23,75,583646751,62275794,7958,7050016,24187712,607902707,4205635,565,93080,82745,15858,6,1290,445,4,7925983,186,917426,2080298,639561224,708630513,71,1,961635851,3484392,6784561,357,20,1892708,159585925,581,7337,64263,55016,24524566,210,619905,26,595,10490,48,50856617,76705040,65396932}

"BWBBBWWWWWWBWBBBWBBBBWWBWBWWBBBWWBBBWWBWBWWWWWBWBWBBWBWBBBBWBBWBWWWWBBBWBWBWWBBBBWWWBWWBBWWBWWWBBBBW"

{94,77,42,82,72,86,18,83,31,45,94,69,38,17,87,56,96,89,9,13,46,24,57,39,57,39,61,7,39,1,11,57,62,65,74,90,5,28,29,48,96,43,21,37,54,74,28,82,71,97,84,69,39,45,18,43,70,16,82,5,81,16,94,33,7,87,66,82,29,91,16,45,55,32,94,8,85,10,70,33,27,86,88,0,75,63,25,56,2,47,42,77,12,63,21,11,78,1,48,75,59,57,25,93,60,17,40,93,25,60,87,84,18,41,0,23,60,11,52,56,43,45,14,15,37,9,90,20,89,23,0,20,55,59,29,20,58,92,81,74,75,51,37,7,85,41,2,96,28,51,91,72,20,55,50,96,56,34,17,28,16,19,23,24,9,69,90,43,35,92,13,45,80,73,34,94,94,0,28,12,39,53,61,90,84,64,68,4,72,4,19,34,32,19,4,76,93,42,75,89,97,84,48,46,92,62,9,36,68,54,4,79,56,95,19,41,40,52,67,37,79,91,6,78,87,97,71,30,73,54,90,86,13,30,89,99,74,49,65,62,45,2,85,50,46,90,84,66,49,99,21,29,57,17,59,6,33,38,72,39,22,88,54,52,85,24,46,56,98,6,42,60,42,68,96,55,93,11,72,65,63,73,13,91,63,23,51,60,78,58,55,29,58,18,83,41,14,57,28,78,1,14,20,24,93,18,33,84,10,83,50,36,4,16,32,13,61,72,15,74,26,26,60,32,16,98,60,20,46,44,21,15,57,71,94,90,92,6,26,97,57,66,75,85,71,94,49,50,71,89,16,54,78,88,98,45,19,91,46,14,74,66,26,48,71,96,24,28,44,99,88,33,34,32,91,50,18,35,22,32,75,47,27,51,32,71,83,86,82,82,26,64,9,7,58,83,97,41,43,48,96,70,46,73,93,51,17,76,20,23,59,73,12,67,57,42,88,76,57,51,37,55,91,73,91,76,66,71,9,55,22,22,94,18,54,72,51,45,51,2,10,22,69,77,65,26,20,24,87,16,44,26,8,3,91,73,68,24,21,7,13,29,75,88,87,60,73,55,68,30,62,75,47,29,72,31,99,73,91,13,35,94,12,29,94,13,15,38,90,47,18,44,32,65,20,49,70,6,96,47}

{72,70,8,91,14,46,0,50,84,63,58,49,4,79,54,44,50,63,81,86,8,97,40,81,67,39,97,1,59,68,33,36,27,93,98,83,94,25,2,42,43,13,41,75,75,93,76,20,95,78,68,94,38,92,10,68,97,97,26,59,76,6,37,70,96,1,90,89,15,54,74,29,15,96,80,74,78,14,69,28,49,86,86,2,69,24,27,16,9,16,94,0,73,4,79,56,57,28,97,41,92,52,7,37,33,80,89,74,98,98,18,91,40,44,0,24,97,81,70,49,57,42,27,59,32,92,24,32,4,0,34,96,80,73,96,88,86,54,53,90,14,74,20,59,70,14,21,15,63,33,33,55,57,34,66,46,16,86,88,92,1,46,28,29,81,95,71,50,58,88,38,65,61,17,49,24,24,88,5,36,40,15,76,42,11,43,9,52,5,21,71,80,68,85,90,31,10,62,52,88,38,8,49,62,41,63,33,65,16,69,46,4,91,93,39,34,5,62,47,7,64,12,76,46,82,1,91,96,89,31,48,19,70,86,4,34,51,70,85,38,57,66,50,33,56,65,35,11,90,27,43,15,53,38,61,6,75,6,62,66,15,63,45,22,52,32,87,82,21,19,60,20,63,13,20,15,57,2,13,59,11,6,36,26,29,10,92,2,10,12,8,18,2,69,65,79,46,54,6,62,75,29,72,94,60,28,6,98,51,28,15,61,49,22,30,4,59,18,83,91,42,75,89,6,64,10,6,42,3,93,61,18,9,82,20,23,93,19,60,82,0,18,35,63,41,50,5,42,6,56,98,81,33,22,71,69,30,11,72,10,19,15,83,21,52,40,7,65,52,49,2,38,60,36,38,86,58,22,6,65,17,35,0,18,6,44,94,49,45,12,60,44,49,71,26,98,12,22,99,86,49,48,85,27,91,70,78,73,79,48,29,25,48,17,43,61,43,94,94,49,9,69,58,14,22,96,12,52,4,10,13,64,91,92,69,46,74,25,91,99,85,94,13,17,84,30,52,69,19,1,96,96,3,10,29,44,13,60,53,51,60,1,77,41,10,69,23,52,67,35,27,50,21,57,53,89,46,24,71,23,82,81,34,35,43,16,83,23,14,34,54,0,55,78,65,57,15,16,84,25}

{1623,266009539,68732698,4043344,394026955,6439,951063387,641558260,90632492,75554693,8427,76385,58583832,953943702,332518731,708757269,641558434,138581280,10014289,14729545,2576,50924079,132701553,916678052,136197250,3,557046844,612346,899028822,706117,1066496086,123156586,4825293,3037874,74751894,24524618,15975363,214414874,1032195182,118676699,53567,14685039,926819884,122160788,873555490,2989477,965612135,112030979,22750714,149338592,1892456,207,883914003,627603,170063521,52836,59823736,50860742,76270,18182643,711291658,102658006,663338912,408061677,93084,764037,24509363,214135572,207714994,328534279,2084428,207715563,298095609,882,52432701,2080274,257189609,233927830,8966568,160047189,76894,6,33791449,1759611630,738142860,75487281,47205431,585349549,916789088,452034064,68732193,676742669,76054314,65962280,961635883,67530424,86836086,257687039,912584,1467785350,33251173,86470944,47112363,664048101,118989362,53157804,210696516,2989469,119144592,564220572,597328,5934838,2839770,799989746,6,796189903,538499351,652131395,83792168,585276755,136143744,68732716,394026921,33878191,663339637,6863219,24591952,112030492,204435106,1543583336,435970672,112031372,252629983,54720054,207715568,78343553,15799,333188912,16228619,22444331,344117331,647351932,775154410,33785700,167674758,1320813946,924279895,579,181428021,1066458072,412985735,298095767,100369586,217653021,641573511,2562,585349547,515740808,41364073,257593191,709557,776932369,865445198,207648154,10014295,12852,31437541,641504867,1972038,34283505,48964041,3947001,653367627,82190961,515671737,66988,66992,917918872,255385476,11468744,929411926,808,100728552,93257157,647626085,2580741,7487600,84416377,15976989,9729036,776988627,470283000,2350,616470760,34115817,797371234,169810281,72318593,662901327,180354496,1864111,1893627,50020970,4822747,927418770,79139533,424378991,16805785,3446,332576783,9726487,971227165,585982888,915862,370879610,411071277,12481305,71239127,452038188,663247432,964083940,5598551,674916785,98480560,72846,50151198,18721937,6082638,139527611,243836617,25419578,776925956,8995595,6073669,204435099,581136899,647351936,8890207,162489196,45406577,136197210,924263558,800266017,224532543,585351075,28306048,3855864,649503344,24601419,65405570,53481,207714992,136196296,41300468,627680744,5,958004001,53668509,4825317,932891247,631186860,41881683,332577392,706011931,85221233,68300,70674,585353246,76832138,736361844,467285476,423986760,6822059,14735295,112031370,298095608,135288087,274760219,14738536,29931771,725023847,108212559,12995758,4119604,132160874,625537920,648820655,1312134593,258560898,5179925,298095763,207059675,924272000,655382,3946900,1888443032,394024370,320931444,290695349,102067910,737438836,601710077,112031391,66983,535108991,256325698,450739585,74938537,489353316,256981493,641558357,594877745,9652160,631182758,6081759,9619802,627680742,655936,478,6123370,68809209,738067770,321882159,102661216,2630136,93887270,521356468,43298724,441296197,257392045,607903405,655908,128706403,22764560,112029765,771732739,1520750,736361845,535941625,50856345,923473872,671057,736179596,234261240,919894156,641557906,15900072,572825720,79897130,795966253,76828066,329916192,318546829,597514951,83490888,1405,772275533,653513309,2578,233927831,774854674,15777,76665,49944151,81738094,3495665,160583,253200059,201642501,65465182,890479498,466018352,28105933,13039756,53035574,641550531,663878,629222792,664900615,3946133,730451136,450073487,951719281,650088160,102661218,235536218,1495,69086,390,5187436,535941626,255666953,7430078,22671880,68595,76832049,49301139,295633046,65441767,49951892,76979,58911160,160461613,76333615,3133905,658399356,106174112,783129344,1073651315,746313164,187924549,31932085,48388555,7693169,136143740,676634631,33746937,708630995,136195623,649509165,655849690,298095087,4051014,468505577,627143819,708630481,5171492,81738099,16944475,458174556,631215354,628738784,4042592,1267505,332576783,2583,647351932,47205427,653475297,858874339,10255248,631186407,14737120,282668686,5673323,6006140,186840527,66910,776861698,709553,258301173,76500,441298770,601294921,203672543,181967547,14735290,535950698,915,649339112,521279609,208408749,815954698,893135269,170646183,536016720,719923701,372920688,3261,4117967,4825296,1182536537,452038150,196057431,948,125395266,65403017,76266208,18721940,781518816,1964378,16227941,517304138,205750900,53041,14734429,475,747263736,369502350,63799388,331921411,808302322,298096474,94700422,108233925,136120333,8967096,102658006,1893613,409382535}

Returns: {943419542, 8299773, 22, 705442, 49894042, 874385799, 441257387, 41408, 9660202, 68875, 8786574, 7190430, 34474195, 68187929, 5, 93127, 1, 25, 68854, 7422002, 5320270, 165399172, 24756, 649494981, 1816197, 3371679, 7355041, 7383510, 10124, 394016837, 328, 303, 4134, 12, 535, 7692642, 655925, 6, 3429699, 773505266, 112023441, 7974, 59, 5, 631186881, 1, 93896898, 702360463, 67459, 5, 44886111, 2319370, 1, 76537, 215, 21, 256981569, 14, 207709441, 6138, 4141319, 1941356, 88740784, 58, 48, 882, 417027297, 1474, 515748658, 49, 1964403, 308, 8225, 13032449, 100807, 663239735, 563, 48993064, 266855811, 666051791, 3412857, 82842, 926813550, 6366, 68732679, 15, 53521, 1, 192559327, 65741877, 62, 114, 2008, 593, 451993733, 44463, 91, 49944112, 76944, 26, 641558371, 14, 1, 649432104, 208969, 75034011, 895, 84, 332577327, 7, 298095708, 75, 1706927, 583646744, 73921574, 62275675, 10, 7953, 26828798, 7050016, 511830387, 24187710, 746, 607902705, 619710, 4205634, 75554172, 565, 2541180, 93074, 3864305, 82745, 636, 15766, 3, 5, 1977, 1284, 998, 445, 8967121, 4, 14839011, 7925983, 25, 34, 75416238, 917422, 2, 2080297, 98583060, 639561202, 4, 708630512, 274976609, 54, 98481976, 1, 42, 961635835, 48950001, 3484350, 9445361, 6784229, 83, 357, 141, 19, 945, 1892708, 878287, 159585919, 8431, 581, 65943, 7330, 33736188, 64259, 214081217, 54795, 76, 24524550, 4043068, 7, 8036, 619612, 909178, 22, 1066, 584, 3805, 10488, 9, 48, 48, 50856613, 127165, 76705016, 8685, 65396899 }
{7,336,11043,4695780,115689,7313,685,333038,86921,7858,122671,989507131,30402,6192556,1,2649,750644,75601,1,820069,1,153517780,6597296,5215760,67,974038,1,3432,7458062,1,68164129,1,578,6692,219,40987,6071386,72446715,245027,54148483,7017921,351568428,9505050,788,94,21,512187396,1,1,321080,337945768,64,1,6,1,1,28,8363,1920411,307390,59869295,10,1,1,512027206,84357430,170,5791,54748,2886856,573008606,638,122318,94,1,37290,71,66214031,2618882,1,5739,2,998910798,8,31266492,248,8308,4,930131,475388,25,3708461,78,1,817671737,30880,1,2479,326422,20612599}

{8,341,11043,4695799,115830,7321,733,333043,86967,7932,122707,989507444,30402,6192656,9,2651,750819,75712,55,820333,4,153517796,6597386,5215773,101,974043,1,3470,7458084,355,68164282,44,585,6914,368,41166,6071386,72446730,245033,54148485,7017927,351568470,9505052,800,95,27,512187399,3,28,321085,337945950,65,13,41,24,71,44,8643,1920431,307538,59869320,14,436,56,512027251,84357430,175,5841,54750,2886857,573008645,648,122372,95,341,37295,75,66214039,2619015,7,5935,44,998911076,32,31266497,256,8547,13,930381,475393,37,3708640,212,127,817671738,30902,15,2487,326494,20612628}

{91125,13672,30038,9180329,84677,256,1763570,779,855671,9,1,692230,3348,825797,429904,2592,96206512,35,5679,2283,490462,1,5,8134,169065,856814867,527,6,1796,1,333,1,66886,56520,665699,1,1,133280,640,726,249,1,636,248,6,1,55933,9099,971818815,11444,939,622,794103,55267,531882,588,9244184,252978,2063708,6878,885335,440859,1,50,1,1,1,83,1,56,737881,2905,64998,1266291,1,35208381,291978702,319659807,28055,1,78296,1685344,722400594,1,51208801,23,3827,660,9391,1,67794,141123,1,494,589,8205293,593,374,764,8349660}

{91438,13680,30051,9180367,84716,257,1763757,782,855673,90,1,692294,3366,826427,430164,2733,96206512,71,5684,2463,490504,1,9,8152,169065,856814867,539,78,1796,13,498,403,66985,56523,665703,13,40,133600,753,828,408,14,674,248,29,10,56113,9359,971818825,11448,1123,623,794446,55403,531898,603,9244198,252991,2063729,6914,885336,440903,6,127,83,4,1,89,200,97,737962,2908,65015,1266293,156,35208391,291978729,319659817,28114,4,78311,1685377,722400787,166,51208802,25,3861,716,9505,61,67818,141218,92,500,592,8205593,611,554,791,8349794}

"BWWBWWBWWWBBWWWBWWBBBWBWBWWBBWWWBBWBWBBWBBWWBWBWWBBBBBWWBWBBBWBWWBWWWBBBWBBWBBBBBBBBWWBWBBWWBBWBWBBB"

{70,87,85,2,47,9,7,44,77,1,63,52,32,50,62,63,10,91,90,55,61,2,40,66,75,3,61,10,25,5,96,41,28,0,24,33,74,87,72,50,19,33,71,72,45,18,14,68,92,12,15,45,1,8,0,16,12,97,76,91,16,43,49,82,71,91,95,56,47,41,29,71,39,57,48,22,34,39,6,83,24,83,13,4,33,21,41,14,71,80,32,11,3,41,41,30,8,84,86,75,10,13,79,12,58,20,1,73,91,28,14,3,12,86,20,41,89,52,98,18,93,57,38,11,7,32,3,55,8,89,20,35,2,64,65,90,18,50,97,61,50,32,74,13,40,21,73,94,59,23,59,98,10,44,23,83,99,84,79,49,40,35,58,90,84,85,70,17,6,49,33,6,5,79,56,91,66,61,92,9,18,44,65,62,14,76,13,80,78,83,38,48,79,32,23,52,80,7,21,93,77,2,21,93,29,21,87,66,43,20,29,81,18,44,43,96,55,55,95,69,3,5,44,94,28,61,56,77,75,70,46,32,87,50,84,10,12,49,51,3,63,28,98,64,76,76,0,2,53,47,63,57,90,3,66,86,55,45,96,95,15,50,41,98,74,96,86,79,56,14,59,47,96,79,98,87,94,44,38,71,6,30,79,84,36,72,97,17,86,59,6,63,37,41,61,10,95,83,81,29,64,53,67,9,83,73,23,88,7,77,30,80,9,16,14,38,85,9,18,56,48,20,17,13,96,46,79,31,65,95,98,91,53,41,74,95,81,95,57,41,50,96,44,54,16,34,64,65,50,27,13,75,76,76,88,63,27,14,63,18,93,74,62,56,95,51,2,18,42,83,97,11,75,21,33,9,65,12,66,20,25,52,13,49,63,52,3,55,40,12,58,99,38,56,64,31,95,22,4,38,75,50,20,35,62,70,7,17,18,26,84,52,32,98,69,65,85,55,29,3,51,21,72,19,70,4,17,74,85,94,61,8,48,1,40,2,53,95,92,9,14,6,14,74,93,23,90,86,58,64,70,27,83,77,82,21,9,61,60,7,9,38,15,90,85,4,98,58,62,15,81,75,40,54,12,60,97,12,96,47,61,57,60,19,72,77,29,89,62,7,32,2,4,84,17,11,68,34,13,46}

{58,31,94,42,21,35,51,98,51,63,4,99,74,55,78,86,27,58,39,88,69,48,69,46,47,95,97,33,79,88,81,66,45,46,38,56,39,42,13,95,50,40,70,57,46,40,97,15,40,23,45,72,54,80,4,27,78,95,60,96,66,29,11,23,29,45,11,93,34,93,60,42,52,98,87,47,19,94,23,57,85,21,95,95,33,93,81,30,52,4,81,21,10,62,96,40,97,66,68,38,43,93,61,88,96,10,22,90,43,10,39,92,26,20,25,66,21,36,9,92,11,62,13,74,18,13,2,5,88,89,95,77,17,31,37,32,41,45,35,43,79,82,70,62,99,94,78,63,61,41,92,31,55,15,96,42,28,79,70,24,44,32,83,11,9,3,6,49,28,28,67,29,64,82,45,98,33,17,25,24,46,83,56,80,26,90,90,91,22,90,85,72,58,27,96,3,74,29,22,20,61,99,59,81,89,57,49,80,34,43,96,36,40,65,11,3,94,13,84,36,17,58,57,65,58,18,93,88,17,99,76,39,22,69,2,0,18,84,59,20,28,4,29,96,88,82,4,50,84,40,97,43,88,79,23,1,0,94,35,50,58,98,96,75,40,84,27,37,20,94,52,74,52,83,14,35,45,85,31,28,19,80,56,26,22,99,86,23,53,83,63,7,76,14,41,13,3,78,3,80,74,46,92,62,83,0,70,25,75,99,96,38,64,87,80,44,80,16,33,79,38,78,42,58,31,1,9,40,1,82,50,86,29,7,96,57,23,69,85,85,92,19,11,39,83,96,99,85,44,34,6,17,84,54,36,37,5,80,67,84,81,95,90,91,53,24,41,24,44,67,72,68,8,17,51,73,72,48,29,74,69,58,37,23,71,41,94,43,81,82,1,42,78,75,60,42,40,84,33,21,50,31,67,16,52,7,30,45,89,18,69,95,81,26,10,15,39,19,80,14,88,98,96,78,96,96,35,27,80,91,7,98,27,94,90,53,73,75,40,46,21,15,18,92,50,27,84,98,53,85,69,6,83,36,89,25,30,14,82,7,46,58,53,75,90,98,30,71,64,10,31,42,28,0,64,8,17,42,62,22,91,66,40,87,30,91,80,87,11,95,44,14,19,78,34,2,84,43,0,5}

{572413984,662,817672056,9523410,153527134,33077,333133,327128,385873158,13922,200426,28167820,67438,337946117,2647018,12065,119282,3710716,54215520,939221,3327661,971799818,4131422,512243169,35236326,5639937,442813,172487,857788909,932255,1684771,351568257,7459845,512222884,413382,9194346,54149175,9505058,6831384,346119231,337126971,7067318,573743042,301977,512243319,7023202,431929,54829,7018244,5190148,5360,187355,518551,858475,122565,96953793,2613330,8233168,350962621,3849246,96957106,1034,989867146,1716087803,3540,3849832,996989622,9243730,656644,351568928,60754640,9506663,54942203,570288,971818170,6606649,1483255,763523392,6970635,261329,169221,153517781,13540962,8205549,1,153518279,353253804,68593921,792186,116359,1619070,836681888,13753422,351568364,351569038,61146426,939631,82475120,50291,35415487,122137,7018265,440878,906061,3983525,613150,6610642,1198558,3848809,7337180,54577736,13876022,33228,494919,857298445,351568258,153042395,6865796,319302,5760,990199173,261269,6773087,990199636,337943,6951291,13835018,7660,1689571,2,7745710,385832857,94576,512027216,12043980,1457,351574114,337946695,39036,441412,337946718,1721244245,573746564,7018687,21943935,664154545,3857136,817672232,741448,346360819,314317,327227,123289,5283,5223305,9505685,21502398,82475292,573746595,478634,7018232,107290,3984118,990131841,82467368,13875840,574033716,256889,9219302,7146640,57348,1764473,512020150,1721311713,9244203,3522628,63073,516428,857788823,176906,512237656,87,93601572,84086,429457,291910951,6950932,3765695,4006362,67816,245406,971876190,3984132,69711,5223306,13081665,84128,333804,146920487,489967,385432967,28921174,153217195,1684881,475391,153762395,331864,83991,665960,491014,606,7756723,7023200,84357339,990198625,13875502,817671751,7018160,74239120,3184553,13800473,3976565,261245,733314896,7599568,435197,9243728,384934020,35246667,560007752,804110092,54214062,6597953,335059807,82434201,214116,32722,82142767,313719,13385646,7459775,7425141,327215,512027814,292899502,1429332936,122566,337963826,82419969,7026870,2913,260296,988628,13876110,5223741,17802,90839,817672305,41595,346119232,3978752,337619492,351569037,35496773,7018300,82474685,8674,72580006,8753764,818101126,1095033,9387,793837,13,755654,41645,817672304,171,245677,7458540,2580870,68236403,9244226,82474754,525949,28774891,9152,5148276,59767,314390,1764395,333722,364292084,351998408,352009291,6896073,5639938,2647080,12190732,84147,512027182,512188016,5811,7852,2,1174946,568522685,856849086,35503356,356911579,68164551,316847,512019296,96956614,357519,245578,83893,96949350,57562,9244225,972063211,3081398,9430060,5509840,608,512229325,7926,7018332,84370773,1713075540,337619492,3837699,55310,351236171,642,7974832,6892985,11061214,261073,351568207,337946632,821814,990199571,54679652,96957264,665387,499764264,84357204,337946620,668813,7129573,35246666,272036329,291446880,5150484,72579912,4085,357520,5804,82469610,1684881,8236141,67826,12811570,8180852,168450,351587439,163452,9505599,5886,184373,990144923,34402394,153442216,62562,1274110,84300063,971845864,177,490494,858727623,3189687,66946901,4897972,3461,352362874,822155699,1155,8702892,1721277949,3970119,19456569,2401419,26001455,453043222,9505699,15191932,75877983,137276,153273395,373115917,337946717,496184,96916291,794512,573412779,67831686,75616,481071,5145,79588382,7441729,1619070,326690,2764224,84357508,54148938,821820,84148,13446116,939140,153192107,186769,1824674,573745987,199912,34651,3451,83893,814103726,773118,1094381,971822233,817684493,7085277,36302,1211062,27009506,7018245,512235414,153947760,1762942,424311,56,337946221,5220429,82407464,321220,3928809,512026982,570859686,1766431,0,379802425,1720836326,1009358608,68156686,10886,1660557062,0,512235415,3738458,55229,35177851,67986,294540,67838268,3980579,512027141,122769,1685377,44675498,441538,440465,512000169,59812019,73617,9477362,674,6606650,4008286,261171,53736322,821760,68106580,382023989,84147,476045,990199596,8506673,67371,410970,786711,79828200,740974,990158579,82420544,665960,6927321,512235773}

Returns: {8, 91431, 341, 13673, 11043, 30051, 4695780, 9180329, 115821, 84685, 7321, 257, 708, 1763595, 333038, 780, 86967, 855671, 7920, 10, 122690, 1, 989507238, 692281, 30402, 3364, 6192558, 826012, 9, 429985, 2651, 2720, 750706, 96206512, 75609, 43, 6, 5679, 820134, 2287, 4, 490463, 153517783, 1, 6597303, 8, 5215760, 8148, 72, 169065, 974043, 856814867, 1, 539, 3460, 51, 7458067, 1796, 25, 11, 68164160, 394, 44, 56, 585, 66886, 6726, 56521, 303, 665699, 40995, 12, 6071386, 40, 72446729, 133282, 245032, 645, 54148483, 727, 7017921, 408, 351568428, 1, 9505050, 650, 800, 248, 95, 6, 27, 9, 512187396, 55943, 3, 9355, 15, 971818819, 321085, 11444, 337945768, 951, 65, 622, 13, 794434, 40, 55305, 9, 531885, 17, 603, 43, 9244184, 8366, 252978, 1920415, 2063708, 307482, 6895, 59869306, 885335, 12, 440860, 73, 6, 56, 108, 512027206, 14, 84357430, 3, 175, 1, 5813, 89, 54749, 101, 2886856, 59, 573008606, 737961, 648, 2907, 122367, 65003, 94, 1266291, 150, 139, 37291, 35208381, 71, 291978702, 66214031, 319659808, 2619014, 28081, 7, 4, 5852, 78311, 35, 1685344, 998910979, 722400690, 13, 10, 31266492, 51208802, 249, 23, 8311, 3856, 13, 661, 930344, 9481, 475393, 6, 37, 67795, 3708636, 141214, 143, 92, 7, 500, 817671738, 590, 30881, 8205294, 15, 607, 2485, 532, 326452, 777, 20612600, 8349661 }
{76216,3918853,1,1,1529,55,370,2,27635,58,17,386489,31804743,932,33934,7299,16188,57653874,9852124,9654045,978210,989148,533,1,7,79,787900225,879,1,1,199895,391,1,36703949,30012381,1,441546437,1,96173,5502654,471917234,70795,38397661,4487345,104702718,47,844062835,21,1000,887,212210,464671,84935,33458272,60959,45,1,177357067,712203819,28649,835780,8803940,1297,356,7608929,1537,1,767525,1,360758,67,10,10976607,7717905,5450932,1,1,1,1,423,183,86147434,3,5872493,596,434449,5598,70410,644610828,471841525,80,75089398,81258,42,56,93503,18,11225544,51,206}

{76239,3918892,1,3,1545,92,381,9,27652,96,74,386568,31804910,998,33959,7602,16191,57653876,9852257,9654047,978212,989154,862,144,42,288,787900235,963,1,101,199895,393,23,36703956,30012382,17,441546439,154,96369,5502693,471917608,70795,38397665,4487833,104702910,56,844063250,376,1018,1005,212490,464997,84946,33458283,61147,73,31,177357080,712204325,28649,835789,8804069,1434,587,7609026,1542,66,767535,15,360788,257,13,10977042,7717910,5451119,78,3,211,148,593,197,86147716,12,5872587,1016,434613,5752,70469,644610867,471841788,88,75089495,81348,45,59,93507,50,11225572,53,242}

{1433430,991676189,60347416,1,3566,88279,1,6548,18345046,15847803,17,1,49412,1,4818754,1,613,7632412,25311,185562,1,1,547302,1706336,337565020,415270757,426,695954410,6289541,974472004,1,441,4,941135,54,1,46861327,5,574947,1,75,3971,1,345,41,360,1,1,1,2573750,1,1,4315,97,526258,485,6128,67561,1,1,1,455304405,2281405,639625,2445875,3559,9244491,25501,7591893,23,77752,1,933617572,1,1,6719,16075007,369977,39514165,9315,3559,69,299327,8636215,472,21790595,1,267,580808792,1,10532,8345,858074,1,9571968,81233859,1,1,1,250889154}

{1433658,991676363,60347715,1,3576,88354,167,6571,18345398,15848112,82,44,49629,5,4818865,1,634,7632415,25315,185769,135,2,547304,1706338,337565055,415270759,521,695954684,6289543,974472049,64,444,286,941234,55,2,46861700,36,575166,214,295,4013,1,658,73,445,134,19,6,2573752,2,113,4353,127,526278,503,6309,67806,29,26,2,455304424,2281407,639629,2445924,3767,9244500,25513,7591954,42,77954,19,933617735,130,40,6760,16075056,369995,39514331,9510,3598,83,299475,8636425,473,21790705,10,290,580808971,12,10641,8592,858110,2,9572228,81233863,35,90,1,250889224}

"BBWWBBWWBWBWBBBWBBWBBWWWBBBWBWWWBWBWWBBBBWWWBWWWBBWWBWBWBWWWWWWWWBBBBBBBBWWBBWWWBWBWWWBBWWBBBWBBWWWW"

{2,62,68,28,61,2,48,4,96,86,53,85,46,89,35,55,60,24,3,18,41,46,67,35,35,27,82,48,36,42,14,4,88,17,93,92,42,34,91,67,89,80,16,12,72,14,77,81,82,53,98,68,95,53,59,23,55,65,60,53,62,62,57,51,0,61,68,55,97,76,43,94,29,75,21,22,51,39,26,6,27,60,84,79,32,36,74,93,10,75,36,27,39,41,25,57,60,8,67,62,1,73,60,77,8,81,7,90,71,96,70,38,6,73,1,88,96,76,2,7,63,26,58,96,64,71,28,58,79,33,74,28,20,59,17,93,92,92,30,44,11,93,61,23,27,90,25,12,55,65,55,34,38,69,51,91,19,48,40,46,20,48,14,33,67,59,21,35,36,5,90,50,66,58,31,41,59,94,15,62,79,68,41,60,31,79,93,72,8,7,98,13,21,89,45,39,6,57,80,98,82,97,97,47,68,92,14,42,71,76,7,97,9,58,88,67,75,69,70,36,0,10,45,84,77,2,10,62,98,6,82,7,69,90,88,39,73,36,3,18,41,53,11,84,60,53,44,56,21,81,31,17,70,51,25,13,75,17,96,53,10,61,47,51,0,77,60,73,10,28,16,74,78,83,83,83,68,40,32,52,97,35,31,28,50,22,90,42,78,75,24,24,57,44,95,2,98,43,90,9,30,44,1,24,85,71,41,3,80,72,23,71,38,21,0,14,1,3,46,48,39,68,93,51,2,54,32,46,25,67,26,93,8,18,58,18,38,33,89,43,22,85,29,55,42,97,62,94,80,96,7,65,65,6,84,60,67,34,19,11,4,14,66,75,99,85,82,18,73,85,72,61,68,79,73,18,22,81,63,98,64,51,94,2,79,86,66,28,40,27,68,44,75,51,82,13,8,19,10,15,72,84,75,79,39,45,43,81,62,19,50,89,78,28,12,44,63,25,49,55,78,23,51,7,14,27,57,75,5,12,24,44,70,44,9,98,55,99,87,31,29,63,11,51,67,39,45,83,69,57,97,89,22,70,16,67,80,16,7,1,94,95,91,68,43,38,21,48,38,92,63,96,6,36,72,21,17,60,90,33,86,76,52,2,15,4,62,27,26,65,2,82,3,89,63,95,44,10,58,68}

{32,32,57,47,69,72,63,44,83,40,88,61,22,38,35,22,47,43,28,89,89,52,97,33,60,74,44,76,87,40,3,74,30,8,5,98,97,87,49,61,28,37,60,68,14,52,70,88,10,30,25,12,72,18,17,74,14,11,47,56,37,12,89,33,22,94,47,47,69,41,33,62,43,82,97,69,98,47,78,48,48,66,34,65,29,89,63,7,63,59,82,67,99,93,42,90,17,43,61,42,42,19,8,53,23,30,82,84,53,86,34,73,8,26,93,54,38,59,13,0,39,0,31,64,98,2,27,15,72,31,27,73,77,41,48,23,11,88,65,90,27,79,77,84,82,5,7,70,39,61,93,12,20,13,19,11,92,21,61,33,62,37,52,8,8,99,14,73,49,6,55,65,24,19,68,87,44,81,64,3,56,70,21,13,38,19,58,41,93,18,35,68,60,67,34,32,72,22,2,95,21,42,47,27,67,75,39,57,27,22,57,28,98,10,36,79,70,43,12,86,87,69,22,49,47,48,65,6,43,12,97,16,48,66,51,5,30,50,93,6,0,28,76,56,48,41,6,97,82,95,85,29,31,3,47,98,27,30,95,78,49,74,20,84,30,22,75,71,58,24,85,33,49,15,99,74,84,48,30,5,34,44,38,67,60,91,12,90,32,67,51,71,94,48,57,91,34,53,44,13,24,90,42,27,78,93,22,29,59,26,83,77,27,54,32,6,99,46,47,31,78,94,67,31,52,37,99,80,25,65,67,5,20,45,0,56,35,54,69,94,14,78,20,17,1,33,90,34,76,96,11,36,31,56,87,20,29,4,86,85,36,16,15,73,5,64,76,9,77,87,8,9,36,31,39,76,37,99,62,3,65,5,6,32,1,28,41,0,50,24,99,98,2,61,26,18,52,57,2,57,17,79,86,67,3,4,23,96,71,61,88,59,21,94,11,0,14,71,21,61,58,11,31,81,80,21,16,52,30,13,86,52,87,28,68,74,22,85,17,70,93,57,75,30,91,59,53,93,91,45,62,10,90,28,49,71,5,78,11,15,67,36,71,58,22,32,38,69,37,31,91,72,68,27,86,38,66,16,52,0,96,61,5,92,11,54,33,97,35,14,94,76,55,14,4,74,54,92,49,10}

{60347453,2282777,184881189,6289561,463747673,884246851,640245,104704772,14508752,471911902,1191961282,441883332,844609544,472320313,0,547268,835760,342052229,6289541,462014574,471774710,843982181,10483475,37645082,835778,701404816,105002206,16076002,488337215,433519849,4852771,5453091,1225219766,68339200,88399,939351,27172158,29942140,77653806,463315457,478131057,3766,820207,39347026,939741540,4865504,292307,1139272090,299426,33258484,415270785,39347026,863266950,23631244,65257639,7157392,4852199,388719,835760,33464493,2282779,34035141,294552238,37180232,961853,454536443,7591931,552,10864821,16141813,33156608,7291903,978959230,292734,10236484,907513,464802,5502633,827413991,633,695954745,10080215,30011831,6673,974472039,77156604,6090316,6606,639871,35391,488108487,696695779,256391571,74738,453668341,177414265,64450507,22804925,463315457,40677688,1026155127,2121829,19153521,33828178,16666695,85947676,292901,10945,33458369,5583,30090012,8196627,18372673,780182667,995595201,1224832425,671451,16103655,60348429,1503117,6141903,789257030,712204146,10054836,10054868,60347469,689666071,712196506,944584231,37644252,701404816,14007371,1348201,46134,65285284,1706370,1163245,1224480259,202123,104713196,696340240,10036,463738494,1706822,695656135,77828,415264259,31832800,5503085,464103185,528,1841936,1457006,359844,9374959,74711539,10245036,988155,918417719,808299964,3258235,1000,4865504,54080557,19059770,250917566,5774055,7717980,485833325,88633,10043,214445,328320610,702735817,7591863,4033,104674239,95719355,10047326,2282784,3773,7514226,922344,834811,670701,9829731,712204054,944519529,18372999,9870990,48,7592880,153370,471099487,30012723,5502660,944593941,177836042,60344059,81327311,1288609,27172158,11225614,695955592,8333940,932658,10287558,139027218,695955603,15528243,177418304,17515045,15847838,712204131,737011696,782949,71076,4127663,31832800,488402355,1438944,360782,547350,2573357,370012,60348455,5174,2282414,4488426,31854001,11524963,22135,359810,9233986,1224954808,5590916,7518088,488195748,44,9877196,1434911,39747727,16461497,6803,834785,33391380,104702517,11231811,1288609,167287781,22224322,1024493505,77637,464852,415270815,919,695948869,65086393,81327279,72972378,2574512,458657342,978189,464346,1557125,177848,842523,7717973,712204131,331275520,22208349,32193940,36941331,14501242,248125194,9057690,7592407,471916508,199901,168862,18786823,104702885,670701,7031570,623564,75627709,31843756,38408111,39514187,786286,338029887,337565054,186861207,104701884,258429633,135428405,30012385,28971002,104713196,15848685,337764939,104713196,1026155127,358390551,18157938,35,613570,974472046,32049,1710540678,12802486,370001,695474953,1454469,1509686,4852401,744705847,844062904,844062884,1043,45016845,1980132,792985,464890,60428059,587230,250889391,844066181,0,787728,787157770,88399,19295950,9877076,713561329,9871259,671531,37057849,471480767,14059113,4304931,18157938,975450255,65285715,1026155127,26419450,2272169,39584256,16071606,0,393052,488402663,4469,6677,69691,142429,975214075,30014352,9834202,21838664,488402859,4835966,9252027,7724573,250800955,26519386,15775548,25674658,8087822,22154405,926221268,448260598,480816053,9248,2215329,25901949,547835,337036344,1642786,50,10049617,553105,9572299,60347453,995585165,6295138,9311241,4932310,471705295,358390551,243297487,104702837,60340717,463643634,788199258,9876597,18398340,167820997,60347427,177417288,972662338,9398,12340,782949,5502653,4615,6193510,86147488,2282775,455968637,1225207444,471812886,40503342,3282502,31467881,106059978,4212773,415270826,3562011,464107914,751718290,2092816,464890,86153988,4849000,696942900,177408075,87342,288157,31853402,337570642,104622148,147872,110992288,8255977,5451094,547268,229532664,65215538,77637,974472090,177928528,393233,264958,74338916,5474005,33458582,14508790,74737216,177424390,13505530,471841549,537225,6211856,2588434,793020,84862,39529765,393052,995587653,10313958,475825267,75098020,719796009,5033948,671526,1467947,359810,671528,938569,75720195,944594229,7592281,1090638662,944588702,1467947,59265894,820207,91048,37120047,5583,448033479,168862,59570705,378898,582130,38042842,707179254,787900647,4847470,50775531,15775548,572,476626421,637225,86591421,105168066,939274,714776959,7591878}

Returns: {76216, 1433447, 3918856, 991676217, 1, 60347417, 1, 1, 1545, 3566, 92, 88349, 381, 7, 9, 6571, 27652, 18345347, 87, 15847803, 51, 82, 386489, 11, 31804743, 49628, 970, 1, 33954, 4818773, 7601, 1, 16189, 616, 57653874, 7632413, 9852251, 25311, 9654046, 185767, 978210, 1, 989148, 2, 540, 547302, 75, 1706337, 42, 337565021, 80, 415270757, 787900225, 426, 963, 695954495, 1, 6289542, 42, 974472006, 199895, 59, 393, 441, 23, 30, 36703949, 941135, 30012381, 54, 16, 2, 441546437, 46861525, 153, 36, 96369, 574948, 5502654, 1, 471917368, 133, 70795, 3987, 38397661, 1, 4487826, 652, 104702718, 73, 56, 444, 844062835, 71, 39, 19, 1001, 6, 889, 2573750, 212224, 2, 464741, 113, 84935, 4352, 33458272, 116, 60983, 526258, 72, 502, 26, 6289, 177357074, 67798, 712204065, 21, 28649, 1, 835781, 1, 8804047, 455304405, 1379, 2281405, 379, 639625, 7608929, 2445875, 1540, 3763, 66, 9244491, 767530, 25501, 15, 7591898, 360781, 34, 91, 77776, 13, 6, 10976695, 933617572, 7717905, 79, 5451106, 40, 31, 6760, 2, 16075007, 43, 369977, 75, 39514165, 593, 9489, 190, 3591, 86147447, 83, 9, 299466, 5872493, 8636247, 968, 472, 434449, 21790697, 5607, 10, 70468, 281, 644610828, 580808792, 471841525, 11, 84, 10533, 75089398, 8591, 81329, 858074, 44, 2, 58, 9571983, 93504, 81233859, 50, 34, 11225569, 65, 51, 1, 242, 250889154 }
{3265237,864768287,196,45079,622362,907207,1,16,94272710,98493,67248187,992354326,46524,1533715,1,19138,1,7781,18593,1,971752,1,1,7,41,1,5,9882353,66,91,1,1,1,725234,8808,1,1,573884,51804,442,366,385,75,73579,26,699291061,6344001,638375941,3457,9072771,99399007,624265,1708334,52447,4811,242,4907,1,5,7270399,1,2785,27152,1,7,500,63270843,13754414,4,225315,740,8853,7809131,1,1,88,1651185,772,30327,1,95353,6437,41579,814123,69854,248,525397,9781837,876781,9416,1,14868,65573,3945553,57,1,4387,1,891866,3219239}

{3265402,864768292,226,45297,622549,907219,5,244,94272718,98495,67248197,992354358,46528,1533790,3,19143,97,8234,18699,3,971763,87,3,31,137,45,9,9882371,68,193,7,1,50,725248,8998,1,1,573910,51821,442,369,470,78,73590,26,699291114,6344012,638376004,3553,9072774,99399025,624280,1708340,52475,5177,242,4907,34,7,7270688,21,3047,27215,2,171,503,63270855,13754440,8,225340,859,8878,7809435,42,2,99,1651331,783,30331,57,95693,6606,41589,814164,70047,331,525667,9781944,877098,9443,116,15237,65699,3945595,83,407,4614,8,892724,3219252}

{5383,619223,38378,7486,272868040,50,9263,55,82314,1,35712286,298198,76,85560,519359481,1,242,142211,82,21007196,1,497664,7,232113,1,9444,32136982,55,1,1,53376,11212,528029,74,1563,677400310,592963,893,507,1,192599,6992,1,899,4657,7097,1,694232881,9663422,93870,94805770,1,11220727,98685303,1,1044028,899,872513,44610,6324,956875,5209216,34,347,331818856,334860,1,60762,1,1,271948161,6711199,935,1554,88034,602,23930,1,39271,777,1306661,2913,41,14222208,1,5123149,72783,435903,72682,1965,503,595774054,38186,79914,71220,62066,50122064,84040,65049211,4808474}

{5469,619248,38393,7486,272868517,66,9487,56,82425,168,35712711,298210,178,85564,519359755,205,242,142250,104,21007233,298,497875,8,232196,29,9734,32137135,72,10,486,53410,11224,528102,91,1576,677400750,593106,971,528,27,192801,6996,179,923,4677,7100,88,694233424,9663437,93932,94805923,44,11220765,98685489,1,1044029,903,872538,44723,6343,956877,5209334,55,743,331818999,335222,32,61028,8,2,271948291,6711204,947,1587,88052,606,23938,6,39598,918,1306673,2915,174,14222224,271,5123153,73038,435904,73116,2005,572,595774057,38187,79958,71251,62141,50122325,84148,65049260,4808636}

"BWWBBBWWWWBBBWWWBWBWWWBWBWWBBWWWBBWBWWBWWWBWBWWWBBBBBBBWWWWWWWWWBBWBWWWWBBWBWWWWWWBBWWWWWWWBBBBWWWWB"

{16,70,91,2,95,21,79,44,61,92,88,61,11,87,13,64,68,55,44,26,91,15,41,40,87,91,9,52,53,64,60,0,5,43,5,78,74,68,76,75,53,25,45,30,25,68,97,70,92,42,58,11,53,80,50,19,78,96,88,5,80,69,43,80,1,57,49,52,93,80,40,41,30,72,62,46,96,82,88,19,91,56,33,97,81,70,17,44,72,18,81,47,40,18,98,93,27,65,98,40,34,85,35,80,11,30,61,71,80,73,86,85,71,82,62,49,52,88,35,13,18,22,22,79,87,28,35,5,3,12,79,45,28,52,13,87,1,76,39,80,22,8,36,93,15,94,93,19,82,1,67,75,12,94,67,79,69,59,14,85,59,31,12,63,25,20,20,46,2,5,33,81,27,90,80,41,29,66,92,7,66,93,59,68,97,76,12,51,34,35,80,68,42,40,47,67,48,27,67,42,71,45,32,23,6,53,49,96,43,27,48,92,80,9,53,88,88,96,66,55,63,92,99,36,98,33,10,91,10,58,78,65,65,5,76,78,12,76,8,5,84,24,0,39,3,9,75,31,48,41,68,86,61,21,95,53,67,0,19,23,2,86,90,63,6,76,19,84,63,96,35,23,21,48,51,61,71,75,56,27,33,34,2,93,4,53,85,10,8,6,88,38,82,94,69,40,71,31,83,17,26,39,19,23,19,97,16,97,76,6,61,74,37,25,77,73,14,11,2,8,99,76,29,62,29,12,45,23,30,80,73,36,50,20,36,19,76,37,39,0,90,25,57,58,7,71,1,15,79,29,33,7,29,88,32,92,62,95,3,84,60,86,0,23,16,85,74,99,10,67,30,65,32,41,64,15,9,74,4,8,49,14,49,72,83,4,56,49,28,43,93,67,64,33,7,62,15,92,65,92,87,7,52,4,96,4,59,97,39,16,35,85,7,94,3,99,2,40,76,34,3,62,37,38,2,83,67,35,20,59,45,28,3,0,1,17,4,17,36,53,25,33,48,8,3,44,92,18,62,86,91,73,39,37,16,63,20,44,81,48,49,77,94,22,39,39,69,77,10,41,10,28,94,85,50,44,62,97,47,44,21,64,56,36,63,20,69,36,65,1,30,4,22,87,73,46,8,22,53,0}

{82,6,51,33,50,16,43,95,82,95,70,96,67,52,44,19,52,18,83,96,36,78,14,99,9,25,65,41,46,34,74,97,82,30,41,2,77,31,39,95,14,56,68,50,17,4,62,82,98,91,49,14,35,15,38,63,38,31,49,23,96,13,86,76,69,10,98,50,0,95,31,56,67,53,68,39,46,7,52,41,26,76,42,26,11,11,77,50,78,57,57,52,30,25,25,14,34,69,41,34,83,99,26,1,34,27,66,9,88,93,13,57,56,23,45,10,38,27,70,48,76,70,96,30,32,89,83,80,1,6,31,54,43,62,78,24,12,11,4,90,19,0,72,12,0,55,70,28,52,11,97,14,90,25,66,96,41,8,85,84,84,47,75,81,60,17,0,76,22,74,91,31,0,12,19,75,97,70,95,83,97,32,83,50,50,46,93,75,24,10,90,82,22,93,48,53,52,7,46,79,58,61,34,9,73,91,61,79,48,34,41,8,56,48,61,48,79,34,31,79,55,40,53,50,64,34,18,18,93,25,79,20,66,96,25,88,3,88,0,80,57,59,33,38,58,9,82,32,17,0,56,95,58,64,15,43,43,39,99,43,81,81,74,37,93,59,21,84,95,36,70,83,55,98,56,53,86,67,48,67,48,38,53,26,0,42,17,88,99,44,36,41,1,83,13,78,81,96,90,19,74,8,54,70,19,93,87,44,71,45,49,39,64,65,2,81,44,0,45,51,60,91,9,48,9,10,98,64,64,61,91,93,89,62,64,58,78,32,34,35,87,55,76,24,80,66,97,4,67,39,76,65,84,91,0,62,48,73,32,24,30,14,57,48,14,49,70,29,25,81,50,84,77,76,76,31,99,65,88,50,79,13,26,22,68,32,2,69,50,24,20,1,96,41,31,26,97,17,33,47,34,73,98,70,3,88,49,21,77,49,66,77,3,65,19,78,36,43,48,73,52,11,23,20,97,1,29,28,17,93,71,77,22,71,60,87,97,22,74,42,57,2,82,88,29,32,57,43,7,32,14,14,89,74,41,17,74,20,6,73,40,91,63,32,65,4,66,71,7,24,45,52,94,80,1,60,79,98,58,74,7,31,90,93,69,59,9,74,3,32,30,12,87,79,96,32,74,9,78,54}

{41839,271939712,596383681,763515,194142745,497688,73863,57694,5248315,89531,272751359,44914570,978837394,18858618,1614881,310812012,12929105,1062402,15031873,17989587,595196234,50640,519353075,7834938,10119451,595779427,432859,12921744,104977090,331826532,868952,3344190,865893,126127,913898,31153,89018,11467,1674957,61712,420726691,13889,699298354,194151410,140400,273491135,111289,271989159,65837941,595789042,9122077,1511415766,578767821,1383240,194152628,21006591,60508,50115428,8216581,1139538,48906981,1394082,524290,2838461,865162330,102088255,73135947,181275893,754759,1340288,182037,10829,13762059,106441481,27355,6343703,56462023,41700,11978966,21000820,563651916,1669512,725419,32053173,992643258,1264003755,149405,194200232,7817161,891199,876330,1319680333,139732,28344,65931840,523225126,9875053,559724,65934245,199803,15025974,3533750,645263719,865360183,992642145,9935857,68477537,6800933,2015033,4024030,1021042,4250915,6714454,273675,699271120,93794310,12877022,9078378,405453430,11108180,1656536,271949048,50126688,52636,9874185,11441,663992789,2118378,865335098,56011,10643,699293303,74574,12901987,1549934,10217802,865341092,990977583,273490625,1401965,21007223,91084507,8401415,3979065,3251670,973135,275813107,21007544,12887593,127907120,13777835,519359162,46963,61725,49577205,50125907,231938,87078297,514236661,5192787,7207264,1332598044,47141,8735,947360,1106311,2299202,4716986,38674,995427,596484392,14937,6622300,47023,19796417,6726,84205,335218290,89561,15036313,63355086,4393912,20672548,194204842,194120930,4716740,3978942,624942,10510,708936588,1401935,41801,161,4057960,1322942485,112326910,3262179,9882490,7471355,1065,6675420,704490755,535592,330794,7972,497126383,14185637,50125987,9732721,9875014,9659727,94251614,1396571,9758592,93525821,10464142,949461,50125409,63282110,1043540,1043675,219758,97043913,193612007,267662014,717793,102942157,595777785,98935455,35281,68985,1306195,63605328,51025107,1665668,880709,9054,823414,91084473,2118164,942578,7277145,2545677,52017,82435,259,42184,517047,9525683,3266695,5852,536594,5167568,331321447,81310,98705961,13740954,3270411,19418031,304871,41888,589324,87596,574387,4016269,5637264,20509599,228,61567,49533864,405453594,14804396,546613,56274629,620492,93525901,7155044,13814550,9663970,3933019,10385244,44061,98699455,36002827,275506162,98738034,4988521,102010842,95779643,4735,1397014,57906,865346060,14965182,1394220,183497,6710902,50115582,15035835,20872859,32049102,94354889,21012376,271716952,69,3949903,10217781,79435,8329632,699293573,14185576,88673,332391947,325744,39111,7779,519354894,989381850,699322390,93730985,7070880,597386573,98478,9687253,98504,102914365,763440954,331587050,331765865,3995682,595787621,4458742,194193511,944716,331226372,20962599,1636408,1101195,10200,680660836,10217461,1034795,2499810,44782,1402405,69973292,865303535,273472118,13814458,590,949904,335320,69821,596563193,3788063,76629,9687161,60682,565772,70077,903683,519812126,4132600,9435036,519359304,14101755,271861146,8027661,102951131,13805892,194151644,404412,529036,1667781,333446394,30358,7929407,247349,273050136,99849768,9166118,520807749,41116043,7810291,15036559,272963183,42418,8941502,194204861,74501,3053921,851572421,281701057,731824,11353,32164261,103305,162000,1059750,1332505584,10207398,1607,54644772,1542364,50155531,273050014,1889791,413776,570,9166514,740671838,5123915,52558,264125,21044913,7958288,554815,265026,11287454,9261,12876756,992625585,805050,920580,46131,877557144,13815105,677400987,1106349,3398815,705986416,762,52799,9962588,865106046,10067981,273407048,150156,505023,98737992,863005,763478,9701629,93405102,52690,523412,899940,55833,27211,980638,76429495,519357973,10996,660982,7186,149544,1059831,976630,12961,9665359,9171339,595788213,70564,528236,334920,273490779,63045669,6719310,102960777,7605,667748440,12929171,231,3912062,859556067,952385,28152,65857450,1332564520,83400,497811,331808015,5467,4458777,226285,6305424,127112,505056,372216,864859500,91,273444668,10218076,10217280,50125132,6872243,94278453,98629,98668557,3265809}

Returns: {3265394, 5395, 864768287, 619247, 225, 38393, 45079, 7486, 622455, 272868236, 907207, 66, 5, 9339, 122, 56, 94272711, 82379, 98493, 147, 67248194, 35712493, 992354326, 298209, 46526, 127, 1533716, 85564, 3, 519359499, 19141, 103, 1, 242, 7781, 142211, 18648, 93, 2, 21007196, 971752, 208, 84, 497706, 3, 8, 31, 232113, 87, 22, 45, 9733, 6, 32137132, 9882353, 72, 67, 6, 182, 172, 7, 53409, 1, 11213, 38, 528041, 725234, 91, 8917, 1567, 1, 677400650, 1, 592983, 573884, 952, 51804, 527, 442, 26, 369, 192657, 386, 6996, 76, 91, 73579, 923, 26, 4677, 699291074, 7100, 6344007, 51, 638375985, 694233153, 3525, 9663422, 9072771, 93920, 99399011, 94805802, 624271, 22, 1708334, 11220727, 52447, 98685488, 5144, 1, 242, 1044028, 4907, 903, 34, 872514, 5, 44669, 7270566, 6340, 18, 956876, 2943, 5209243, 27189, 55, 2, 712, 171, 331818856, 500, 334887, 63270843, 31, 13754424, 60817, 8, 8, 225316, 2, 823, 271948165, 8865, 6711201, 7809132, 947, 35, 1560, 2, 88052, 89, 606, 1651186, 23938, 782, 6, 30331, 39307, 43, 903, 95639, 1306661, 6437, 2913, 41583, 108, 814139, 14222216, 69886, 192, 249, 5123153, 525411, 73037, 9781891, 435903, 877007, 73103, 9428, 1990, 81, 537, 14933, 595774054, 65627, 38186, 3945553, 79958, 57, 71220, 2, 62066, 4395, 50122187, 8, 84094, 892306, 65049234, 3219241, 4808530 }
{3,41,3653383,67,77256,5931,8148,6887938,181286257,41383,982843,72635419,213,8536,3382533,395,945659601,1,88234,8381411,41149,12,2689616,21240802,719939,47,719,400,8691,6537305,7,2135433,9381,55183158,93,131882598,82,1037,977416,868234,716943,35928,1,157129187,4529,751684103,4286,386222,3945,85284967,7584,768148345,6259741,89226344,4440,4918,22763273,277,39407,833407748,1,345504,40650,1,2494793,6,15297,27991,1,6,46228371,964110,1,68617732,1,91,945374,945363474,22724,1,697,766272497,6802598,1,1,1,21,8303403,1,4770,1,996,1,1,1,1,71942703,1,487,14170473}

{37,45,3653400,137,77542,6181,8389,6888055,181286277,41669,983010,72635430,218,8565,3382659,409,945659688,25,88236,8381497,41538,62,2689827,21240806,719957,79,723,761,8706,6537486,330,2135895,9384,55183174,101,131882783,90,1041,977491,868244,716976,35952,21,157129194,4546,751684130,4286,386328,3956,85284986,7598,768148354,6259748,89226673,4442,5061,22763335,397,39665,833407752,257,345504,40734,2,2494793,438,15303,27993,12,11,46228586,964136,2,68617775,35,168,945375,945363518,22733,1,711,766272654,6802773,27,3,6,40,8303506,3,4812,58,1003,2,9,13,5,71942712,45,647,14170519}

{16117,34068738,88919355,4325947,13784,41979,89175,859392143,1,481,229213,1,9094,9635577,2,453,373,6872,1,1,450,43777,531,1,963267480,7579176,1,71957132,486304165,6119256,62,688,28604124,1,773,8931723,1,3570,8662158,829,533245272,524,156,1,190574,38953,1,1,7879,370596255,1,1,541985,14928,1,8849840,83328,34270778,1,82698,54845774,8346,2362,9222,1,327664,20955,1,86831092,1,734,3239,1,529,533024,5129277,5556855,14644,896886,76,469592,4312,9124111,447,200,1,1,72159,766,49,1,224,49609239,40559841,8890859,1,1,172,35,1}

{16137,34068925,88919431,4325965,13802,41991,89188,859392144,86,686,229231,1,9199,9635583,8,462,452,6895,1,3,715,44011,584,120,963267487,7579181,18,71957241,486304166,6119270,98,724,28604130,102,906,8931743,10,3760,8662275,893,533245294,531,463,4,190576,39033,5,245,7887,370596421,1,21,542065,15248,12,8850256,83366,34270959,1,82716,54845797,8456,2703,9265,268,327664,21134,1,86831094,28,734,3292,8,758,533048,5129398,5556871,14846,896925,76,469790,4324,9124125,459,235,17,4,72182,784,72,3,442,49609416,40559864,8891397,122,14,185,38,7}

"WWWBBBWWBWBBWBBWWWWBBWBBWBWBBBWBWBWWWBWWWWWBBBWBWBBBWBWWBBWWWWWBBWBWBWBBWBBWBWWBWBWWBWBWWWBBWBWWBBWW"

{75,20,69,8,25,58,59,93,78,0,8,14,13,72,14,83,41,71,81,79,29,12,40,56,72,83,24,98,50,93,22,60,41,52,60,87,58,69,68,0,6,91,65,68,86,18,55,43,11,77,16,56,72,11,6,13,98,15,82,45,89,11,88,15,27,81,52,58,59,8,65,71,70,15,36,74,66,55,66,42,80,3,33,41,35,24,22,81,43,93,71,67,89,82,16,43,84,29,63,99,41,18,10,58,74,31,32,2,99,27,77,39,24,17,32,40,4,63,76,80,22,45,43,66,16,28,30,93,50,74,72,16,90,2,77,74,96,34,57,25,88,43,83,79,63,43,83,99,81,10,70,15,33,56,16,47,87,10,36,34,97,22,24,58,45,89,25,40,22,86,16,71,51,88,10,86,2,5,44,43,46,87,73,80,64,40,2,1,71,6,14,87,88,65,81,98,56,22,55,2,73,29,22,18,5,81,19,43,34,84,93,62,92,69,48,11,18,35,79,23,59,27,84,73,67,93,90,81,94,5,78,93,70,0,15,48,68,66,88,81,30,7,48,54,70,3,2,26,7,53,41,42,28,21,54,38,4,52,82,36,15,18,46,57,56,32,77,0,71,42,9,49,68,42,82,98,67,15,20,37,57,91,95,41,46,54,50,26,27,23,68,86,73,55,61,34,20,41,94,23,68,12,62,72,89,62,90,61,77,67,4,22,80,87,35,1,69,20,65,37,10,93,59,70,50,8,58,13,37,41,67,74,81,15,55,26,10,61,71,98,6,73,87,5,6,60,30,26,47,69,39,59,9,3,59,6,62,81,4,68,70,73,81,7,69,50,84,33,78,6,78,40,97,56,33,1,46,22,40,90,39,44,56,22,95,29,20,77,61,50,6,66,12,76,24,46,33,85,58,98,31,54,53,40,48,67,61,71,89,25,61,48,49,87,51,87,9,89,30,36,70,18,40,86,40,20,0,23,82,88,12,8,38,98,95,45,84,83,91,27,96,88,59,5,82,39,37,40,91,82,87,43,61,98,10,69,64,18,48,23,77,95,28,46,46,96,74,32,98,9,25,48,36,15,69,24,8,97,10,58,14,77,16,67,77,60,55,62,10,81,87,66,30,42,43,78,12,44,95,42}

{89,67,11,87,18,80,69,89,44,58,31,17,98,7,25,80,33,50,11,71,39,76,54,48,50,18,16,65,87,72,86,18,66,85,59,32,72,32,85,93,48,38,99,8,57,96,38,86,72,37,72,77,9,6,27,35,59,33,52,14,41,53,20,49,39,0,82,64,37,10,8,9,15,65,70,73,3,29,1,76,2,98,79,12,38,8,64,1,54,43,13,50,94,41,3,23,54,40,31,11,99,18,45,75,86,58,5,10,42,9,53,64,48,94,78,59,97,99,18,30,93,62,7,83,16,26,56,72,69,68,32,86,71,56,55,76,55,61,24,17,80,76,45,25,16,56,13,83,48,74,13,34,29,6,7,13,78,53,97,41,82,80,2,6,10,84,21,35,78,25,77,55,14,29,56,32,56,65,12,79,94,14,78,39,7,51,86,83,81,51,70,18,66,57,50,49,27,11,19,7,35,28,83,97,65,87,72,63,6,61,27,33,89,58,49,62,88,87,6,24,25,81,43,87,82,81,97,77,70,38,58,30,35,24,95,66,33,93,59,8,81,93,60,67,87,66,46,88,53,85,86,16,41,66,2,48,80,27,24,91,25,88,61,97,41,30,73,46,3,42,55,64,95,10,53,54,28,5,30,2,73,80,36,26,70,7,24,56,88,50,62,54,62,73,77,79,42,37,29,25,45,34,91,66,73,15,50,79,28,1,91,7,93,28,96,65,33,55,70,58,25,7,94,80,1,45,75,52,55,3,76,21,5,27,8,34,8,75,6,24,46,8,50,89,91,20,63,62,45,15,48,98,9,81,40,62,12,22,85,82,53,80,27,26,98,42,84,39,3,83,18,78,19,22,58,49,21,34,48,82,2,13,88,24,77,64,85,72,77,51,21,74,54,47,42,89,26,67,98,89,12,4,40,56,69,52,34,85,50,93,56,53,29,61,55,64,60,1,27,30,61,1,1,68,25,54,46,60,37,77,80,48,35,57,66,41,62,79,23,47,3,32,36,71,95,58,5,9,81,58,83,74,38,0,50,64,70,54,46,47,67,74,2,69,73,22,69,11,0,86,19,31,12,52,17,77,18,96,93,41,86,56,11,97,44,64,69,91,93,72,78,49,52,95,95,24,71,25,29,34}

{5134857,15079,72635933,173055069,7667888,508901,833491337,40564841,725295,56663,179151762,3389716,9643982,866280319,10962538,470370,55148340,959928,693642431,967608,11787964,6493185,533957877,22835139,7897,88814,1908206953,329142,8368301,40559980,2690968,54934708,41329,6802573,888171350,36826241,40245,28613595,86831395,40544307,86265,9639077,14499038,268117728,34271699,71854600,1160569,157130066,72636330,945373532,945660857,922669005,42397,72716664,71875644,132578161,833490363,55184072,9125820,748341322,32081,16606580,42120,455881037,72824454,766285279,9125620,2455426,833486306,180533327,181614664,925673,46229064,328291,46229872,69150740,4320541,9263047,34063903,6502622,92102874,4327396,55183801,44968,131175430,1143834662,195939,800338079,157125512,197689687,10588497,21213,8896425,15890831,949985805,135889313,5575,532946537,2144391,58465507,14135939,790,750892316,5169390,533492,2097232,28565645,91360773,14171375,71997896,856137692,1627563,963976275,8884920,27721491,1365854115,91956,14179890,6414736,471063,43249447,751680495,1009633879,36058,0,486312185,22847426,40560255,8355,86298692,28613938,945660197,968189,107946558,954194242,5969687,80787642,353855,929716426,7572425,469592,161740755,751723495,7579766,945668835,134449322,9644350,14171188,766272488,1287137,55855236,994,54765415,22761355,1798163797,10013482,9105816,88458119,610,36910,15927104,3158824,877281556,121042,750891527,5665,7535607,655479643,3563778,7580098,310829,9806375,764766499,12655892,21926655,28614379,107946279,292014,186203,157129388,8896044,4993114,69492094,1336533,863785720,1300677455,92572820,34069292,765309694,768230135,42846896,8287729,36314,33943804,766269711,455880709,94636787,69946449,17227251,773708061,72196722,486714139,2690674,88891,291867,758037399,8381495,157139317,97122,354333,31398037,55145863,49614186,39677,455870244,72598024,89391,132439413,97808,983789095,840904215,838225172,157129561,60386314,15899276,806828780,1068,179101457,55119064,9592239,913971,40560027,94585277,963971766,1243,25346,142014961,40554777,833490071,584990900,766277364,825720558,54842081,24141,37997171,4320807,92568707,2322,941715835,89241410,37110,945659900,486331582,38793,92568520,9628721,532845,77674950,960226477,1990,7579655,89898,350187,34271810,22810199,28614144,876760602,21247,5287072,496,8886484,453386782,86831073,1211903,91533718,4706,486323647,47335,42541,92568607,102888306,470290,714,36645,46225727,866276279,963980296,22846493,71957217,21233661,86869289,4654,68579278,77462628,945024807,1525,41843,38312,9309916,28820556,838476480,8354,42552,37141,68614128,42647,8159,354155,1431644493,34097244,90647,863590333,40091505,494527156,68872434,33741599,55183716,8885736,46555882,42614,8333628,825721141,842216585,46697317,34076797,570437607,5169266,15344938,8849996,4361695,6474353,490195,766304630,71957180,190131636,1830,180533428,5466385,1042755,963987488,93267,112669322,8368439,43897,96170,54886957,9875,42915,751337253,1661,871909,833490000,127,770594231,1365854100,119494,47545,763586677,91691,84509969,43012545,69086816,838225856,866280015,950,8448,915,54316402,3452064,97756,962767,533042878,8381873,20157213,55143991,421812805,48601,2690916,533950718,15927551,91704060,9449129,22846336,965237330,945378417,10162136,42675,945378178,945024164,768141625,54223,527211,14004,6116085,963987832,889,55183047,28174,39586,4457,2143990,87398,621740109,555208724,12118,6774122,353124,967436,3519,32981039,22493337,89230013,443224975,8022121,776994079,5881703,54887333,34073636,71958379,791,45891432,34157493,499893542,86831376,526383461,38023,20624,76086509,15922172,945377451,461195,181290536,131175432,34271395,36635,751687591,43563,790,21240083,72343072,76268626,28613629,833490827,996939,15926878,829614,43634,533920256,766276225,15887693,8375251,157662533,9285894,17012,1205016,2495447,43734870,84345,9076,20855519,945351004,533448,401029510,4747,68614878,69253978,533241,101230173,17578,42628,15960726,2139088,9254,6801741,6958,1907897112,181198556,71943451,41314030,5113,3382769,922668850,873024825,28674,945535489,57341127,8855516,42266,41314082,766276995,9106340,455845540,6802168,732,157129967,963067876,970351,7393700,12656942,1374}

Returns: {27, 16127, 42, 34068832, 3653397, 88919393, 109, 4325956, 77406, 13793, 6058, 41985, 8255, 89185, 6887997, 859392143, 181286275, 44, 41566, 584, 982912, 229221, 72635426, 1, 216, 9116, 8551, 9635580, 3382596, 5, 404, 458, 945659647, 411, 13, 6883, 88235, 1, 8381455, 2, 41203, 662, 46, 43894, 2689747, 558, 21240804, 75, 719950, 963267484, 65, 7579178, 723, 9, 676, 71957145, 8699, 486304166, 6537374, 6119257, 170, 80, 2135667, 706, 9381, 28604127, 55183160, 51, 98, 890, 131882693, 8931733, 90, 10, 1041, 3722, 977433, 8662217, 868240, 856, 716963, 533245285, 35943, 525, 14, 310, 157129192, 3, 4538, 190575, 751684116, 38993, 4286, 4, 386238, 123, 3953, 7883, 85284970, 370596283, 7598, 1, 768148346, 11, 6259745, 542025, 89226418, 14993, 4441, 7, 4918, 8849840, 22763323, 83340, 307, 34270868, 39655, 1, 833407751, 82707, 130, 54845786, 345504, 8456, 40731, 2533, 2, 9243, 2494793, 40, 378, 327664, 15297, 21076, 27993, 1, 4, 86831093, 8, 14, 46228437, 734, 964110, 3265, 1, 7, 68617747, 644, 35, 533024, 108, 5129338, 945374, 5556863, 945363474, 14650, 22732, 896906, 1, 76, 698, 469676, 766272575, 4318, 6802687, 9124115, 19, 453, 2, 217, 1, 11, 32, 3, 8303461, 72171, 3, 783, 4800, 60, 31, 2, 1000, 333, 2, 49609328, 6, 40559845, 8, 8891128, 1, 61, 71942703, 14, 25, 178, 567, 37, 14170498, 4 }
{2460,54824,27829,5921577,9423391,7265,44445,1,771,31,99,48571,41177482,284144,3,1,22,62512,761938,587,925085593,142,218,1,86956,46037741,428188365,93149826,38,1,7260,352895,7,9768,55773108,3,730,315550,7342947,9611539,1,520,560038935,351757,802906,1,74455150,1,3,1057164,864315,775326157,45,1,272245,4511,794,19865,3969,89304,864141,94,81,42,28628751,2083,579147,562694,91109324,764,1,9,52,7328112,1,536467710,74,24,675315,449,9860333,1,2136,81416287,66,5433826,598612164,411007,38394,9859,1,736236,311,331,6424146,979575991,1,234,365597,7733}

{2500,54831,28213,5921595,9423391,7455,44457,32,863,243,99,48580,41177709,284274,14,49,99,62585,761987,648,925085900,157,247,59,86965,46037748,428188399,93149830,103,78,7264,352901,10,9785,55773526,5,736,315712,7343349,9611611,1,574,560038969,351767,803025,208,74455182,19,4,1057175,864333,775326229,83,10,272251,4520,870,19865,3993,89514,864150,96,141,73,28629022,2155,579152,562702,91109326,810,67,189,210,7328133,2,536467748,99,30,675377,476,9860335,4,2547,81416287,70,5433830,598612166,411027,38394,9878,140,736280,324,368,6424157,979576020,3,691,365653,7940}

{847578,9311,651764,4018882,95524,97417,4467,5097,768186371,347916,6,1,571818,1,732280,9,58042193,1,904770,15606268,76189842,5686076,5,292982,1,1,406633329,9,5186346,16,564555841,6561,1,398,4911735,606,65814303,31,745349,9341,71414188,43455,73621,4197,29,1,574521660,203,46387530,33,27402,1,7302228,644554,1,17795,64447294,92,1,71304,1,43587,595977841,1,3791580,717713,21876,3,1,31,4161774,1,746,341,804161,562,1,970,7082,9,1,411827,1,4,5,1,578600380,50036,1213218,11026,27,38,1,1,621686046,50101201,88,6,8,2162}

{847665,9553,651771,4018953,95531,97422,4547,5269,768186768,348072,8,4,571824,62,732318,10,58042229,1,904886,15606270,76189842,5686098,14,293459,9,5,406633368,31,5186662,20,564556094,6728,98,400,4911740,609,65814303,34,745367,9836,71414210,43461,74014,4347,173,1,574521661,215,46387655,42,27436,75,7302233,644559,7,17796,64447303,92,1,71311,9,43842,595977943,9,3791591,717744,21908,16,150,33,4161975,194,752,343,804165,593,64,1002,7381,67,73,411827,28,5,212,182,578600394,50044,1213243,11088,88,42,8,11,621686079,50101233,91,94,56,2307}

"WWWWWBWWBBBBBBBWBBWWWWWBWBWBBWBWBWBWBBBBBWBWWWBBWBBBWWWWBBBBWBBBWBBBWWBBBWWWBBBWBWWWWWWWWWBWBBWBBWBW"

{19,97,57,75,86,23,75,5,64,89,63,62,57,64,95,16,17,40,3,18,89,77,63,83,99,71,49,11,43,61,91,23,19,95,88,76,84,97,1,34,74,74,83,47,26,61,76,59,57,70,77,14,57,63,78,30,70,57,63,26,40,53,18,4,82,1,70,29,47,53,78,69,94,42,92,22,95,73,68,92,30,33,34,35,77,76,94,69,75,99,36,75,54,20,80,55,71,6,56,58,79,81,63,47,82,22,90,95,32,99,37,71,48,83,33,6,38,37,84,77,6,76,3,63,27,58,24,20,81,57,35,86,7,25,15,79,8,29,87,93,26,26,11,78,4,7,46,16,92,90,88,66,37,13,55,84,42,87,51,11,16,29,60,57,40,7,5,24,3,59,10,73,85,63,75,98,98,6,0,37,26,11,78,10,40,59,61,2,61,27,57,15,72,59,27,5,37,11,0,40,59,3,87,18,14,47,14,63,70,57,38,89,32,11,75,38,12,71,9,71,2,9,31,69,62,75,93,34,32,43,38,10,45,9,75,60,90,97,9,6,79,98,53,84,87,47,59,90,65,85,21,83,19,64,29,95,17,49,86,63,31,35,97,77,31,17,99,40,42,86,41,63,41,59,90,93,55,70,81,48,60,35,49,21,72,93,93,62,38,95,69,82,23,96,46,18,45,9,6,18,89,68,46,80,73,26,3,6,79,9,92,26,13,83,6,22,66,23,41,13,31,78,5,12,98,87,24,54,1,64,12,22,96,1,45,1,44,67,63,41,84,72,71,36,65,40,72,31,44,39,66,78,1,22,36,13,46,13,30,33,85,97,81,66,28,14,62,46,46,69,97,29,66,45,14,62,3,85,33,11,47,24,24,44,69,54,39,81,17,25,56,45,50,60,15,37,44,91,94,64,67,63,17,85,30,96,48,68,54,12,60,41,42,17,18,99,16,32,65,18,95,61,6,2,1,30,8,48,15,58,47,7,19,62,83,31,80,34,90,74,41,89,10,5,63,91,17,48,2,13,55,64,42,38,59,97,89,74,73,55,1,70,6,62,30,14,20,32,18,82,16,73,63,44,53,79,14,3,91,82,38,66,46,63,82,94,65,42,96,86,96,31,25,65,13,6,55,23,96,51}

{44,56,93,25,61,97,16,90,18,88,28,91,20,48,13,61,26,72,46,50,26,95,93,3,19,20,88,59,43,84,3,21,28,7,30,99,63,54,43,78,16,76,68,88,95,64,69,82,36,60,14,16,89,55,51,88,2,14,56,3,51,46,24,30,51,27,23,43,6,84,82,62,12,59,98,15,89,60,70,75,94,9,39,20,6,24,0,65,69,6,64,26,89,72,79,18,16,41,26,30,92,0,7,43,11,10,81,1,31,2,89,3,7,81,12,94,11,43,90,39,68,21,1,55,21,83,73,60,91,50,81,51,70,18,30,57,9,9,83,21,40,5,56,42,10,26,12,10,3,32,64,90,58,45,73,75,26,34,18,64,76,19,14,78,34,77,61,7,65,20,11,39,13,68,74,71,41,24,13,38,68,26,8,44,23,6,8,86,95,23,99,53,75,14,69,73,52,88,52,99,12,2,44,40,1,53,48,94,6,48,40,39,6,82,22,1,48,38,57,11,90,88,6,93,37,61,85,64,34,88,42,93,70,41,65,46,99,59,44,93,64,9,74,11,70,59,50,7,49,42,37,65,26,11,18,53,79,79,12,95,18,42,11,66,68,8,93,63,46,13,18,57,93,79,57,69,48,55,96,99,97,65,64,53,0,13,94,89,57,64,86,90,82,76,4,50,79,99,53,60,60,37,56,74,70,52,80,81,56,47,24,34,17,71,80,4,79,35,46,55,16,25,45,10,86,64,31,68,70,81,2,6,14,81,32,86,44,26,83,1,12,92,72,11,84,37,95,47,15,31,48,53,40,14,22,35,96,68,61,65,60,73,38,31,6,57,44,95,74,16,56,2,50,25,40,39,65,64,95,22,67,51,6,86,76,7,76,72,64,89,43,91,50,52,37,42,73,74,89,96,62,51,35,64,45,98,17,26,15,8,19,65,83,26,75,0,87,22,14,81,12,10,31,90,25,7,68,86,28,59,53,27,66,6,30,28,16,99,97,87,11,37,97,85,49,22,26,82,48,77,59,5,96,54,63,66,35,45,15,27,60,9,9,16,36,73,30,98,54,2,29,84,13,76,46,54,50,8,18,65,84,83,44,12,23,92,35,92,62,26,52,75,8,43,83,77,34,24,49,31}

{16408652,64447450,19658,490430589,1177168627,294200,594509330,104653,30753720,1230752,5186501,596714119,1001255625,71225040,1029393042,57998430,834759254,71413534,639036387,979801,834800855,1029676257,321,79513605,15611268,1001275567,2232045,112299,42,43881,9204210,5392832,10420449,1029671958,563373790,9890,42,271611,301964,60002817,57238074,804268,9693103,1251497,907919813,32376715,757,158716,65833359,5025956,731435,57309969,21063,22288,774657971,563373785,3538098,752139,64448049,824881296,846740453,648332301,1579964,573876518,775324105,93104357,3868405,356101,48820,644656,680385,595978658,655867601,559951777,365356,304,1029656337,6464369,95271076,536468035,63547115,357287,51064271,1001274971,48031,86935,627260119,719032,536467556,39145,90650999,514912212,273488,1001274791,9859959,1644586,58042275,82878,770373702,564559230,151,438327,5374,355954,46480,223,411862,1029613133,359648,669959,316926,9940472,46382427,81828138,41739196,628061291,8040179,40398,59,9620089,91069428,5686216,9876406,22231,98835780,81412341,7241566,1000411448,1148086,871843,411245,755314447,4156550,46180657,564563137,19547,767839258,347981,81055347,5686363,763407566,834717081,64495138,559430159,9518844,834816541,607227593,58042310,9940158,170,31168998,600985,311781,284262,7341144,536468302,538410295,60224261,775469157,32372055,58042262,15606871,1596485,662548,122276023,4390,60780,92275,9220687,1001114773,48515,2292646,5149714,91109325,537271412,365649,408542,47051,1129413,7772989,743712407,834773225,768853928,802982,71120751,111875,768143279,1176532796,1029633298,93443282,14203,644597,536467892,750572,93149129,7417965,7617861,1223421,6457003,71419797,41588566,9260681,441960,71271340,777838,644364,45655338,628110199,4201679,46407423,78012206,9603371,49002,46494,536468143,8024578,86993335,8088734,367732,48575,679751,903679,310634,501,596293562,536510923,5433642,28264734,60685259,1522339,553367348,301,4161855,305029,537182810,648112736,9852,160171,1150822,48694,32420177,713549,159649,48564,4522767,160621,818716,5269,1772781,554678642,6001666,82131912,819214873,32372039,1666855,1029032702,62125,1056807,1135463283,1029677203,1307287,560111971,47889,600092,90763116,768248189,9565,71414335,1060031816,1176928369,1622947,19936,43694,160367,19854,466,46374388,4148489,411770,46393255,863468,719230,31363388,5041761,849397,283901,628109930,595976687,8068775,997256713,1177211802,2195,295618,233,639457991,979864,480,353484,684485,1007113,865396,90793667,584528810,10664530,11489568,827519434,7957677,451759,64447689,347761,86684,774136486,221786,81416298,9820461,9518737,600559,292856,648932852,297556,58388397,45369514,104775,41749226,1176846948,31959541,272663,90837109,4207324,32008796,41229407,48763,732247,457389,30,1177148473,1,834259071,81416235,88469,41749292,1029,846,65862200,719746,71729892,1029676466,359409,803124,9261493,46944954,1312878,71459739,732573,65814802,284902,648976788,90825183,564519222,725082,4569868,7327836,7676924,241453,5226339,752142,596780786,1429541273,648172723,58042964,64447445,679783,290793,46037771,70681913,605579972,9220719,26986622,1029667095,48333,562892,775239305,47070,1176409498,776,277579,9620989,411163,32358104,46038971,64793990,736315,48,8166306,315779,559796835,6525449,1540429,628089301,32420516,596540603,775326206,63163,26986643,564563161,365726,46450206,743712433,272261,808791302,16469844,675877,478696296,834759239,536610111,850749,58403193,300,16742,1255060,987927983,43861,310659,679745,45992270,564557937,859294924,1130824979,5186501,156894,644418,93155083,16162977,596017779,645964910,5532650,67902548,60675375,687,1165222,91548,316927,612,5523899,1057158,736068,834759263,46389804,45763924,285221,138530,32315899,560112526,7816534,160734,600372,20332,804239,7328478,93163147,818639,3813881,387815,537935868,498748125,8060143,1413444552,365672,1394660,677667,58042268,7328442,284185,802995,648332335,271849,1569255,770088352,930602,717784,8088696,80859053,648173830,41749295,295636,628109916,719195,560112241,595977994,342390841,7302272,536121013,814223387,1063138,81132074,48017,60662978,380413,1057274,774980043}

Returns: {2465, 847635, 54831, 9337, 28059, 651767, 5921577, 4018883, 9423391, 95531, 7266, 97417, 44450, 4544, 32, 5268, 772, 768186371, 42, 347935, 99, 8, 48571, 4, 41177513, 571820, 284222, 13, 11, 732312, 45, 9, 46, 58042193, 62512, 1, 761955, 904841, 618, 15606270, 925085594, 76189842, 142, 5686076, 240, 6, 1, 293438, 86957, 9, 46037742, 5, 428188370, 406633334, 93149826, 31, 93, 5186420, 78, 20, 7260, 564555841, 352898, 6672, 10, 13, 9784, 400, 55773479, 4911740, 5, 609, 736, 65814303, 315689, 34, 7343314, 745349, 9611545, 9440, 1, 71414188, 537, 43457, 560038935, 73622, 351758, 4310, 802921, 141, 21, 1, 74455177, 574521660, 18, 215, 3, 46387585, 1057170, 37, 864315, 27436, 775326157, 74, 71, 7302229, 10, 644554, 272251, 7, 4511, 17795, 805, 64447294, 19865, 92, 3992, 1, 89481, 71304, 864141, 9, 96, 43821, 104, 595977879, 67, 8, 28628895, 3791591, 2096, 717713, 579147, 21876, 562694, 15, 91109324, 42, 801, 31, 66, 4161775, 96, 95, 91, 752, 7328122, 342, 2, 804164, 536467731, 577, 99, 64, 27, 998, 675364, 7141, 458, 24, 9860334, 37, 3, 411827, 2194, 28, 81416287, 5, 67, 43, 5433826, 122, 598612164, 578600380, 411009, 50043, 38394, 1213242, 9871, 11057, 72, 79, 736266, 40, 323, 8, 362, 9, 6424156, 621686046, 979575991, 50101202, 3, 90, 688, 8, 365597, 56, 7753, 2183 }
{5470,4806,63570,49623209,71886881,984,820213838,229,7858055,1,587956269,3202,1,1,467604,2,67754,41504,3,7,30116081,47311783,65157,8,1,144411641,21051963,7,1,41321404,4,1,1,5475,667858290,46481163,70430634,21600,13272,1,1948,6496,933596449,188275817,4984,1,733,1757079,67,899,6,6,23180062,907895,71935945,1,57530,5535801,2,12365094,84205,1,534566141,1,1798,1,60,1,9424,307229138,1,1,93280,1042316,22171,26693753,101,54645375,1,79677,341403,442661,906,27433913,79026,103,66991744,13,312693088,3408,9677,1,4922527,7160,62336,5,7,59621196,4484366,583117081}

{5480,5004,63570,49623266,71886887,1040,820213855,248,7858188,1,587956507,3208,10,1,467717,27,67800,41650,37,10,30116141,47312330,65326,121,17,144412093,21052151,274,26,41321653,128,24,10,5663,667858410,46481166,70430635,21698,13276,18,2153,6718,933596521,188275834,5296,1,744,1757146,70,901,291,12,23180093,907901,71935986,71,57543,5536221,6,12365314,84475,9,534566209,40,1919,1,62,72,9812,307229304,70,204,93306,1042360,22178,26694243,325,54645448,2,79763,341526,442679,909,27433939,79221,128,66991751,392,312693091,3414,9702,8,4922535,7163,62465,324,8,59621199,4484410,583117136}

{1,943972,59245,829573442,172910293,4551473,561,2,5262,1,5475108,72444,2,935,7343,647230,335848182,61,1746,43174,1,838680741,1,2126710,77959,39198636,1,1,1,8921307,39766,21432976,92790497,51149,351126,917927,8218,56,3898044,1,4799,5,1,115114457,95700,988302770,2316,1,8260391,1,369855,1,258,1,62,90254,48,452445749,847,15957261,1,694813839,11333,1,1,1,666664,6367819,480,186,126472486,255,1,8,2429348,1,172689591,890827262,10,642,1,8,5484,9186,323921,585733137,3244,93598219,1,377913525,68323572,1,1,1676,2127390,525,190,5977062,7934432,45810}

{68,944176,59245,829573444,172910548,4551474,615,429,5336,2,5475112,72684,5,935,7374,647231,335848288,101,2010,43362,127,838680778,1,2126711,77975,39198637,17,71,49,8921311,39788,21433182,92790500,51200,351153,917929,8547,379,3898082,305,4805,185,53,115114711,95792,988302834,2320,12,8260629,195,370142,27,548,43,67,90301,246,452446028,910,15957689,1,694813843,11340,7,328,26,666666,6367909,516,189,126472486,357,27,13,2429407,41,172689816,890827263,10,660,13,200,5702,9274,324021,585733528,3263,93598221,1,377913763,68323581,16,9,1716,2127396,565,253,5977406,7934822,45945}

"BWBBWBWBBWWWBWWWWWWWWBWBBWWWWBWWBWWBBBBWBWBBWWBWBWBWBBBBWBWWBBWWBWWBBWBWBWWBWBBWWWBWWWBBWBWBWBBWBWWB"

{91,8,8,21,42,48,75,57,44,48,38,75,97,18,1,36,45,17,49,49,15,59,32,87,91,56,51,66,38,6,82,63,7,76,49,70,42,55,72,45,21,12,23,70,64,60,0,92,50,7,36,75,19,27,24,41,4,25,46,31,64,64,7,93,4,23,45,57,86,86,10,38,30,43,58,16,39,69,70,87,77,3,58,84,38,48,98,82,64,45,86,60,91,39,12,3,4,29,88,83,80,88,27,12,59,31,11,15,53,97,47,47,6,82,2,67,93,60,36,82,3,58,12,66,40,37,32,69,78,20,23,89,34,0,40,8,5,41,87,58,94,85,77,93,53,83,23,54,98,99,8,51,50,43,67,56,71,16,30,31,59,86,81,66,90,64,40,96,67,1,40,27,20,19,11,78,53,11,21,73,54,51,44,85,41,9,88,59,3,67,24,75,89,70,89,89,67,24,65,89,95,50,79,32,17,22,90,40,79,51,4,8,43,20,16,36,82,48,49,83,72,9,78,75,91,85,2,33,9,15,57,7,59,7,37,75,44,84,71,47,72,31,85,65,96,21,21,35,23,2,1,90,31,78,4,68,11,12,9,2,37,73,36,92,35,9,36,18,87,18,24,74,48,22,29,59,10,41,12,70,51,30,52,3,31,42,71,18,96,2,94,72,76,91,46,66,18,86,83,60,4,26,52,47,33,44,74,51,88,78,93,29,3,17,88,58,90,57,21,4,91,60,16,15,40,81,42,7,44,1,45,17,14,30,93,80,40,62,36,46,27,25,89,16,0,9,81,74,87,97,67,27,53,25,61,80,27,19,34,17,48,66,86,19,95,36,8,48,8,59,83,4,65,79,0,76,56,80,36,34,15,53,78,65,20,86,27,0,91,56,63,68,19,89,93,7,98,40,15,38,27,37,56,85,14,88,38,34,64,92,73,68,63,8,58,18,93,18,52,82,3,47,94,35,74,40,88,97,71,50,1,69,77,13,7,62,37,72,70,26,37,28,93,43,36,24,44,18,72,21,37,31,73,8,32,60,28,72,25,47,48,10,91,55,18,42,95,59,22,41,26,69,23,74,51,78,28,95,67,64,29,8,27,59,65,24,86,93,4,11,26,76,25,80,48,20,96,35,12,80}

{75,96,49,34,18,63,34,93,66,81,53,41,34,5,8,73,96,34,1,16,97,56,50,76,70,76,94,12,47,2,6,30,90,10,61,9,40,51,79,29,63,27,6,36,20,20,39,32,26,25,84,28,73,94,36,70,13,98,21,0,95,56,75,29,29,2,37,31,24,86,7,79,77,32,62,25,24,12,54,3,84,11,67,85,57,55,85,87,86,60,28,95,56,85,12,17,7,25,8,62,57,70,81,22,91,27,81,56,26,64,58,92,19,62,0,76,17,42,13,24,77,13,69,54,62,86,70,95,0,72,87,40,75,74,36,87,50,53,94,91,4,26,39,1,72,86,48,37,35,77,72,39,31,82,66,56,70,15,43,11,52,30,56,26,23,75,59,85,63,84,94,61,55,85,85,95,68,8,55,76,54,0,39,11,85,21,68,28,60,42,7,47,20,20,73,69,43,14,6,23,63,69,52,36,5,84,61,37,47,41,93,85,45,13,98,25,31,34,96,26,99,11,4,69,84,69,31,5,29,76,67,62,10,58,71,87,60,72,99,51,25,86,91,36,9,8,99,21,48,11,20,17,43,5,3,64,31,88,22,69,66,6,79,95,78,75,47,64,11,42,51,61,86,17,65,14,6,75,38,56,83,81,98,96,17,27,67,66,59,3,78,30,36,80,34,0,17,45,25,46,85,61,36,73,15,64,78,9,89,73,33,50,43,79,86,4,89,11,88,8,2,22,87,63,59,81,52,41,49,77,27,9,76,40,82,26,92,89,89,11,94,23,17,2,35,67,38,84,75,11,73,99,14,68,22,81,95,61,71,28,36,43,13,47,76,67,32,7,44,47,76,21,52,26,32,6,18,85,39,10,40,76,30,3,98,5,17,78,20,35,44,18,32,44,28,76,35,22,61,90,69,29,34,57,27,82,85,54,66,3,82,54,39,90,28,59,35,43,32,8,68,13,29,34,71,39,98,28,0,67,40,20,93,26,88,27,75,98,15,51,33,85,33,63,85,81,61,26,72,85,48,74,81,26,98,72,9,23,18,27,69,97,70,83,51,23,63,10,87,11,46,91,69,61,18,32,69,93,30,28,98,69,53,69,52,91,1,96,60,72,16,36,81,71,54,52,99,60,9,87}

{26694431,7863416,7862793,1458876166,933598670,8260857,641515402,457973258,576139,8703400,4792840,26687449,613863476,4550469,8791959,69396826,988302940,668168013,947983,335915146,64951363,28265003,92420713,79091846,126472669,172746981,2190085,667004,5642038,820209125,820218182,39950,68333098,755170750,694814993,126472844,933599576,90327,14567,1020703336,885993009,120,822340049,196894918,30114417,30031646,5645,97713261,21422147,183610792,70667606,26694231,1085935,2189833,70500544,126479444,244796481,171191803,885990062,21438603,2570,55928,26694142,50234368,194554263,2131045,988324506,436549057,67066660,279,593431416,3964048,945432881,210599816,534576724,440993905,78046,307229632,198408469,785598430,945069951,879121072,6367011,585488505,454070979,8170611,582283515,93593647,66993412,988387605,66995011,85102,57608,585733777,106,879155244,244797148,133368067,304840324,507134448,457640751,439165717,442816,65431,28322536,21432990,512484,704749,20144372,65597104,1758265,3165764,820256629,534571304,117618,166322301,36289,933512405,70438221,73724,66276119,213,307229579,72602674,534571067,66973664,33682081,307229870,5630,30023113,91471904,377910463,641515514,2446090,70432121,101451333,4182791,901304,91533338,1031,242607460,606785547,945472939,944864,814766,39563906,6134086,71914692,49013570,1419253305,7770353,172,21063239,303384172,5701497,102,126472452,335268908,303350819,21363601,26772024,67028279,385510,21718754,66206865,26692367,28315832,585733640,6367959,694316,2183238,694814085,30206422,585690430,585664282,671,898765,7922528,885902693,173731904,223,5485,100953,585664048,585740221,885992890,312684204,28322391,879112207,939964553,78458,24937153,408026292,156588752,378952709,685139350,297022482,538557,820214721,375790357,887,307599407,23100548,163213202,4592295,337851,626500076,24561,1678219,7069,244788381,593586548,1061464423,30117177,332330424,113172091,21428513,675767757,1183,6391157,583069959,75901,244797422,280535483,403097,892962807,21437622,4504766,50243025,172042935,451614441,534577461,586073687,1292,21889,120292578,175515,338524,583163048,1757138,183517762,88421553,585733698,70438919,302,878129642,1374440108,838593710,6134316,74089,31055452,68355634,281957585,4552713,678927179,8565,21363604,312693313,65283,307224974,688344,819172307,70358666,4923249,47399292,26694224,68682066,3951,93528759,933598827,78260,692406763,75249202,24009,50243269,27847760,237731909,26687603,3911545,126530021,27443263,482505,26629928,879196447,21474621,933596668,6367709,664722,28322456,879074023,2190010,133309,243112023,341721,668206519,672269,43851,1055291563,156167746,86268,484710014,715866157,47258410,714806,601815,99229,2451808,55,690603365,1042671,51549,49872979,853111791,38685,245704835,244796450,309596581,457906294,1104061907,236933910,123023,19270,242317790,647541,28315930,138,910417077,6664,100056,944523947,988303031,41833,173149820,37110,10160,20710951,4925645,912465290,448332626,72931,2190020,181484362,377951987,335793241,47393743,6368167,4327643,2162442,120292374,65522969,7410359,583163396,447949,183600828,694879131,101342,726,694770839,668209304,41721,78683139,302723590,66994384,1800559,172689465,76790325,100643518,8261109,7943679,26565353,200114201,690345688,23180709,20973402,92796268,992902760,59569,586075060,70438955,85025808,644508,173597361,40049,879196672,33566347,71539007,41867,5784,30116272,47341743,101062,11442,92747320,377819653,8855,172689985,49013451,68072,694166970,64429133,307229527,50221330,668152126,138823620,475252,312697931,581848700,596273433,668459,874274111,1046987,71926747,260,76166869,1129,28320461,47390339,303388545,115970310,7857624,879186725,1758095,48053224,621944060,2451402,6830,316143560,65598746,6151,5998093,942148,277113551,945464140,21053334,312693030,534577652,26672887,12325885,125825447,21052410,67608,585733894,51317,303390295,656156013,520651,694723300,21054375,149,300259228,8282116,19026048,600032,13199513,89340695,8840,312,2220098,183608978,1757302,315489672,528837910,126472667,27515250,2242,935723281,848,586073923,93663644,76241,21053760,307229511,309355948,692406719,2363,92790655,307229486,8649,6328212,1864,37824223,299376441,908024,310821568,23180963,78129,67927888,8862,244712711,163034,356832789,243111895,183168200,342134,80196691,6936798,583162850,47314861,169,93939694}

Returns: {5470, 43, 4912, 943974, 63570, 59245, 49623213, 829573442, 71886881, 172910293, 1010, 4551473, 820213838, 614, 248, 189, 7858172, 5335, 1, 1, 587956438, 5475108, 3203, 72601, 10, 5, 1, 935, 467660, 7368, 26, 647230, 67775, 335848221, 41637, 101, 36, 2006, 8, 43268, 30116081, 39, 47311943, 838680758, 65227, 1, 65, 2126710, 10, 77967, 144411867, 39198637, 21052063, 9, 8, 70, 9, 31, 41321600, 8921311, 73, 39777, 24, 21432976, 9, 92790500, 5476, 51200, 667858290, 351152, 46481166, 917929, 70430634, 8311, 21663, 218, 13274, 3898063, 15, 195, 2108, 4805, 6651, 73, 933596494, 27, 188275817, 115114500, 5096, 95786, 1, 988302771, 739, 2318, 1757122, 12, 69, 8260510, 900, 98, 114, 370033, 11, 27, 23180093, 548, 907897, 40, 71935956, 67, 55, 90286, 57530, 100, 5536069, 452445876, 4, 902, 12365094, 15957262, 84474, 1, 8, 694813839, 534566177, 11337, 39, 7, 1862, 29, 1, 25, 62, 666666, 30, 6367867, 9645, 484, 307229216, 186, 69, 126472486, 152, 306, 93293, 14, 1042317, 13, 22176, 2429374, 26694017, 24, 282, 172689634, 54645412, 890827263, 1, 10, 79762, 660, 341469, 7, 442666, 104, 909, 5592, 27433922, 9230, 79074, 323974, 111, 585733411, 66991744, 3263, 203, 93598220, 312693089, 1, 3413, 377913640, 9691, 68323577, 8, 15, 4922535, 9, 7163, 1716, 62460, 2127393, 157, 525, 7, 222, 59621196, 5977234, 4484399, 7934613, 583117081, 45930 }
{1,5853,1,53418859,9455185,609198614,517522944,2,6,32656,998013054,4779169,6009031,1,1,2765,60649,1,2131011,91456559,450,228645460,9547604,444522,1,7330998,12599607,78669,456724,4,433171,156290,1,9189,1,781639,1945130,293786328,8074,46858413,68506600,666356,974004630,284,83371,1922,3167,9,8873168,765318,536528,221408547,79,5916,69,892909,9,1,2636,122,1,4975841,918925,5849,1,41166669,3444995,1,1,1,1,1,4132225,9699370,198578284,9954,20,45276851,10584357,46294255,626074,8526863,1,331385,796998,1,56,17367823,8153207,78,135721,501,3833543,12353,6425,376,9179189,1,1,3132}

{23,6064,1,53418915,9455245,609198630,517522956,22,35,32902,998013334,4779208,6009034,54,21,2803,60651,17,2131040,91456797,868,228645505,9547615,444549,4,7331001,12599624,78678,457059,201,433188,156312,44,9242,11,781643,1945139,293786350,8242,46858624,68506604,666418,974004649,305,83394,1928,3172,40,8873171,765340,536530,221408559,80,6382,100,892951,11,25,2705,213,2,4975850,919334,5937,23,41167016,3445261,5,3,2,8,1,4132306,9699421,198578697,9992,30,45276869,10584365,46294578,626100,8526870,3,331391,797089,308,366,17367844,8153565,91,135771,790,3833992,12507,6426,489,9179191,14,72,3180}

{8385306,627351252,1,1,5445,1,204,938,6567637,6240969,809432787,1,1,533368,5066,1,492839,163634163,1,765,1,434860761,368,387828018,1,60371149,1,1,199,1,1946,90774623,53,2530767,461412,1017960,72677,522123,87784,3078364,90,34,1,4817,68339,892,9359651,26836060,5735,7191070,875455183,3064037,4361143,8898,823394,588,1,552241,7,257614,1060238,50,4,52491917,710222207,452839915,326,27,51579,28160374,2016,491,975719,1,74,7791477,19969998,39849558,39008,2928639,1,6004929,375255,1,95520722,1,9239796,439900,967028,697061,6207,359856,830792,58031287,1,779,808,878,85,1}

{8385312,627351311,12,13,5448,14,208,944,6568141,6241243,809432809,2,3,533372,5071,49,492923,163634195,117,834,3,434860781,611,387828035,1,60371155,20,13,326,34,1951,90774656,61,2531010,461625,1017981,72681,522183,87925,3078369,100,37,120,4846,68670,1010,9360049,26836481,5814,7191315,875455190,3064051,4361293,8979,823418,668,304,552567,21,257616,1060278,56,162,52491924,710222296,452839948,624,28,51605,28160399,2081,496,975720,51,253,7791481,19970039,39849570,39016,2928699,66,6005033,375398,80,95520725,1,9239797,439906,967124,697073,6431,359899,830974,58031441,25,800,812,908,145,30}

"BBBBBBBBWWWBBBBBBBWWWBWBWBWBWWBWWWWBBBWBBWWBWBWWBWBWBBBWBBWWWBWBWBBWWBWWBWBBWWBBBWWWBWBBWWBWBBBBWWWB"

{97,16,98,3,97,8,13,15,53,80,82,82,39,42,53,68,42,11,89,38,24,44,11,48,44,14,2,25,43,91,42,20,91,91,39,35,86,6,57,96,48,29,57,1,96,51,18,34,63,57,45,64,78,57,74,59,3,45,5,43,83,59,6,42,58,85,7,10,18,24,86,49,32,39,90,45,13,19,47,43,43,16,46,7,16,21,40,39,8,21,95,26,71,31,35,26,11,39,67,16,35,76,94,90,68,82,83,71,67,90,16,37,31,37,88,94,0,76,69,90,70,46,61,38,89,38,6,8,72,13,99,45,73,78,43,87,71,71,68,78,3,75,24,43,88,29,76,79,33,26,5,31,95,80,39,26,21,58,1,90,45,93,31,20,55,1,3,91,31,35,14,22,8,71,85,11,99,45,60,42,31,87,75,92,42,84,84,51,26,2,77,56,19,15,22,59,40,73,69,84,89,73,16,67,4,15,93,42,91,9,98,1,96,86,58,68,20,65,77,84,85,29,60,79,97,75,80,0,87,77,23,21,12,26,86,15,45,29,91,13,21,89,64,9,60,65,23,90,72,79,78,21,17,75,99,34,97,38,53,36,68,92,25,83,57,67,62,56,89,37,22,35,81,61,45,9,36,82,27,60,14,99,98,54,6,9,65,42,5,44,61,78,88,77,23,6,97,59,40,93,22,52,43,83,30,84,42,56,47,21,68,55,18,53,74,57,48,2,47,56,51,40,59,3,33,83,23,18,34,27,24,28,25,27,93,63,53,26,17,58,97,81,46,33,57,43,69,99,82,94,9,2,48,72,37,25,21,41,41,22,8,8,47,4,39,50,11,73,16,82,65,84,83,84,57,50,48,53,57,33,4,71,37,9,43,81,3,86,71,34,57,99,27,93,29,95,33,91,8,63,58,3,40,41,94,75,82,25,19,62,21,11,90,83,38,42,0,84,73,45,18,50,75,43,38,33,52,67,31,73,75,46,96,24,16,7,17,29,12,87,25,20,12,14,28,96,8,40,90,81,82,91,91,18,92,90,70,32,61,44,91,40,95,11,72,83,6,56,64,54,96,94,28,39,11,83,24,55,55,62,49,23,2,80,25,35,66,7,18,75,60,98,51,55,25,87,71,98,78,15}

{79,37,54,27,21,23,7,11,93,61,77,25,15,12,40,75,85,74,38,50,25,86,31,19,74,76,73,31,91,89,79,12,33,35,14,50,36,74,97,37,4,13,9,51,78,30,91,21,2,93,96,58,20,58,62,57,10,85,5,77,68,59,93,64,54,18,97,71,24,52,61,73,77,57,99,52,59,56,23,55,19,61,71,23,49,38,65,83,94,43,16,99,40,17,10,38,50,86,50,68,5,99,68,11,71,2,64,37,63,22,35,93,59,60,96,46,74,81,78,48,46,35,21,8,3,68,48,16,61,57,13,39,17,45,35,66,54,11,78,97,0,79,25,12,5,2,79,79,23,99,65,93,13,10,60,47,6,39,46,21,55,62,38,47,94,7,0,54,46,39,73,99,81,19,2,9,75,36,15,36,61,65,69,59,59,42,92,13,39,74,14,19,0,27,72,22,94,28,65,90,65,45,30,91,59,57,24,9,89,53,60,71,91,4,99,95,72,46,83,15,36,97,28,95,94,15,53,44,24,63,94,55,21,13,41,82,57,40,7,7,48,86,35,46,8,41,75,85,47,81,60,30,63,3,43,3,80,12,30,20,51,51,6,61,31,55,19,19,5,36,92,71,47,75,80,43,93,93,18,16,53,11,44,29,59,71,59,93,62,9,90,22,63,47,35,19,18,61,79,47,95,9,91,85,62,42,19,1,44,82,68,20,2,48,57,32,10,11,88,87,65,63,52,8,20,52,6,96,82,86,71,36,55,48,86,74,16,92,23,87,20,34,40,75,78,14,90,67,0,87,42,36,9,5,88,85,5,25,90,35,69,75,29,1,67,2,76,13,23,43,2,69,13,2,53,35,79,98,40,72,12,25,76,95,28,78,94,58,61,57,92,85,50,28,0,55,15,13,12,53,50,4,29,86,38,16,24,57,35,6,90,13,96,58,0,0,50,31,63,48,36,89,55,79,40,39,75,70,50,10,83,13,15,65,97,71,12,96,9,21,5,86,4,95,58,86,46,39,86,14,2,73,22,78,45,49,93,23,88,51,87,76,99,75,69,69,38,70,66,94,30,53,68,35,56,28,17,53,76,30,9,5,68,96,88,6,88,9,31,13,45,20,65,65,48,87,71,37,87,10}

{49222085,293754900,823401,53340244,663505359,381704777,532460,4776488,58028702,4349774,84751050,67326781,49934168,967995611,68509208,7749825,974004542,193799512,617448,875895689,67702151,9254787,95397543,82588531,198563519,19964959,9699453,37578179,355265,337634,930638957,6008585,2179592,1439249,49931918,874682324,11112196,318944434,551665,285128471,582368,533393,5721355,845689721,1443375,224037455,2490370,663044617,52497758,57491260,9177363,710224826,10622923,555159,197659789,295135,1754027201,2731,0,85121319,382914,0,575541532,1684226850,825919,2130910,61,1807445628,2131012,4361371,14215532,16125316,85126364,49384438,139050,4362228,275929,91457619,361436511,896853,91460497,5408064,9362638,388271638,7403055,663410219,480179762,49605517,6574207,663501138,552368,12596477,68506995,73015843,1805646507,12679166,879697862,53019990,875991683,501965,609434940,19973123,58017,4649870,51110,375361,710553518,294307975,52497741,9417893,1246046,351282978,90673088,294324459,1992008,9363209,206963878,22491920,38705720,8738094,9361050,9120463,658530336,6488246,54115901,44416,508655308,6135523,1819266,19206,536476,49934150,173333549,10620540,1794514,14362114,822997,4779701,10596945,10622493,61804216,51147210,67702151,6013568,602012239,17,63335667,0,385732621,12596477,1020871870,32887109,532936,1806819979,48876709,39435670,723738060,49934331,617994169,663364046,891303,58937715,90834894,26836498,887065,627356360,61804216,463939,81567782,48137368,9704435,9544851,9089732,91457134,111,10987791,7798286,2014980,1062993,972132185,95594131,476198866,20378854,4406573,974262048,1068728293,97726418,223939191,37337363,198578710,85121355,91457619,99841271,75958,6390701,9804634,68500266,9242634,465846220,96175606,493309447,9698355,863506,360340,9707203,555258,58043805,980213228,337634,6258797,1060196,627356807,9537738,18689536,523,51205,5107515,484643465,84794954,96314984,2017711,888,1517010,49221764,7295,7798614,628728,8400359,17807731,57913351,388266146,662612741,657497206,13132953,9906059,378089,553554,68506691,359425,532460,654627336,8542743,709985875,3148210,5507528,493340203,380471150,142091,29992579,40843747,11605617,663071102,111148110,61200430,7678,53880529,626901,6088579,433944,2017363,224420988,219808193,570562896,4644483,90378369,893472,90538698,91457619,609895603,292290656,6544461,1799121,29357990,12757318,625006,6268799,59891252,57668435,2052335,628005,10038,4776064,151640,823483,517780143,6273406,493748771,1032023437,608279693,6223634,4846458,1075379,59672439,58290352,387147158,426066777,2131890,5233199,25140814,31207737,9547627,1912529,355265,331364,487685,1068728293,882548682,627357292,26851100,663130869,0,893048,2131019,8870138,199131108,552489,1798567219,4779216,34022420,17807722,630017781,120992570,4103809,59986699,2539508,4692525,904906228,7048986,86252,9318414,494,1560435,66808653,8800226,48803950,251064638,538466,9596851,224638400,17805079,1328,14070174,77863295,5261471,11097882,530,28289714,3169,8009939,17801298,980213228,2017804,15076015,606042080,286077815,67702049,815413930,67035757,536985,9783561,21592585,1233627,26836060,636795000,49936957,875991700,24749187,10232703,387719010,370835,494006588,68157422,864645,96317790,549832,874682324,40344062,15013,69059040,5678105,3451654,67701657,313234165,6272699,461271,8023403,53412492,9242357,4976289,90923,4111854,3041,875913032,58475529,8385317,892715,2537143,173973,12576825,52483362,875989057,43969108,68506691,9906059,89587,7349254,375370,67149606,91692293,516604223,663364046,5312540,9049041,328814,8305763,982389953,867606400,5386885,62185439,8876070,258551,875294559,8673841,49217864,68586047,47397025,3440058,2056,785060795,1797746660,8112835,8829731,9177183,494006597,552689,447,169643212,9179990,12217617,645698508,662238766,9240185,3451654,4668,454726,18418115,2795330,24726248,9369074,14526731,375361,10058730,9906590,8492361,4661566,7814431,58041723,388272523,4144527,224320862,17447365,88476481,3540,12560730,31316906,28491689,517602285,2083,713666577,829714,8747141,9122,508338,48137368,4779200,125912,163634179,895025,20862298,487685,1682724,996582098,51595,8553855,60226527,517759070,5674813,6272959,92749346,7268028,1061289,526,630017781,493113099,61907588,0,0,294308379,7184358,1807443307}

Returns: {3, 8385308, 6035, 627351252, 1, 10, 53418860, 13, 9455186, 5447, 609198614, 13, 517522944, 207, 4, 939, 8, 6567796, 32656, 6241236, 998013198, 809432798, 4779203, 2, 6009032, 3, 35, 533368, 21, 5070, 2768, 49, 60651, 492920, 17, 163634164, 2131011, 3, 91456730, 770, 451, 3, 228645460, 434860761, 9547604, 390, 444527, 387828018, 1, 1, 7330998, 60371151, 12599607, 13, 78678, 3, 457055, 325, 8, 16, 433187, 1950, 156292, 90774624, 17, 53, 9192, 2530768, 9, 461615, 781640, 1017973, 1945137, 72678, 293786328, 522143, 8238, 87784, 46858617, 3078364, 68506600, 99, 666357, 37, 974004630, 14, 304, 4839, 83371, 68427, 1925, 910, 3172, 9359962, 24, 26836060, 8873168, 5735, 765330, 7191132, 536528, 875455183, 221408547, 3064043, 80, 4361293, 6209, 8914, 97, 823394, 892909, 593, 11, 10, 23, 552524, 2643, 21, 212, 257616, 2, 1060274, 4975849, 56, 918998, 90, 5851, 52491918, 23, 710222207, 41166670, 452839915, 3445011, 624, 5, 27, 2, 51604, 1, 28160374, 8, 2080, 1, 495, 4132249, 975720, 9699371, 51, 198578511, 206, 9954, 7791477, 30, 19969998, 45276851, 39849567, 10584357, 39016, 46294326, 2928639, 626083, 64, 8526869, 6004929, 2, 375370, 331389, 79, 797057, 95520722, 103, 1, 111, 9239796, 17367831, 439900, 8153402, 967030, 91, 697073, 135757, 6418, 504, 359864, 3833575, 830822, 12507, 58031300, 6426, 25, 403, 800, 9179189, 811, 9, 883, 40, 118, 3141, 4 }
{344933,37987636,534495724,2615811,882,407,45,888293979,13440477,6923,81,970090,46948,98682,9970,69,3212,93,1,8253504,1,42,24,8208654,8237653,40,641602,8942297,1,12,3098,78366852,22,5531703,146869,268632,9468,4817345,8979736,1,5459,84719018,318899,1072792,98937,5,54,782,1,2752005,850,6205,96,84,758217,1,610361383,45098,7551,965058204,6298904,1192821,5459773,1,951663,1,46288175,7292,65201,795974246,556520425,29439838,1,977,1,163221,44261580,721150,50803679,91186,47,7081,63329446,765504007,342715090,1,4419598,82382889,38,45447,64,1,496645132,9919748,1,39623,1,9086,648,1}

{345007,37987878,534495731,2615817,882,587,47,888293981,13440826,6923,93,970092,47109,98685,9975,101,3219,104,1,8253525,8,44,40,8208671,8237690,157,641643,8942304,4,223,3110,78366856,44,5531938,146917,268671,9536,4817345,8980208,2,5470,84719153,319170,1072811,98969,41,184,796,1,2752009,850,6250,97,213,758479,95,610361406,45175,7670,965058234,6298906,1192822,5459777,1,951668,15,46288344,7433,65220,795974289,556520557,29440210,33,980,13,163448,44261680,721167,50803721,91204,82,7400,63329680,765504034,342715409,8,4419601,82383119,393,45884,312,4,496645134,9919758,73,39668,34,9353,837,8}

{38594532,97087602,5,3336,55309617,299,4314404,18330136,84065192,693916737,1,3590510,41235413,913837057,40754,1014,771398381,52,4486316,537,1,1,32,9401661,473680023,1,4340,32,15,1,178151996,79325645,194407901,54963,495110414,256155453,43045,1009976,569411070,2892391,1,76743663,5041483,1,94568997,5,841101522,7337,729431,3090,944,1,1,862,829587,8633,33002,722,1,308048,4267,35461,3348,6144139,1,521447,1,1,4952501,148169866,39444,6,43273960,3,29012379,928760765,12321,5794,1,241796412,1,60550,46,895303,1,1685039,87076850,303913259,1,9126511,4411,1,3,608,4668285,2357631,1,1,16,6073352}

{38594567,97087673,7,3812,55309660,304,4314441,18330334,84065346,693916756,67,3590519,41235629,913837093,41089,1116,771398497,63,4486334,577,13,9,66,9401751,473680111,4,4422,64,39,1,178152151,79325727,194407904,55356,495110499,256155458,43059,1010039,569411097,2892396,200,76743933,5041484,3,94569239,22,841101923,7426,729664,3127,958,38,9,867,829641,8915,33007,871,1,308330,4704,35493,3348,6144146,99,521487,377,67,4952788,148169866,39679,12,43273963,9,29012432,928760785,12324,5857,15,241796415,131,60575,236,895344,8,1685056,87077002,303913280,8,9126599,4413,12,6,871,4668417,2357635,4,3,23,6073569}

"WWWWBBWWBWBWWBWWWBBWBWBBBBWWWWBBWWWWBBWBWWBBWWWBBBWWBBWBWWWWBBBWBWWBWBBBBWWWBWBBWBWBBWBWBWWWBBBBWWWW"

{81,0,14,40,3,45,45,30,42,42,84,54,95,79,76,45,95,40,13,23,11,82,5,84,94,95,93,80,15,98,74,48,81,70,55,26,34,30,50,44,54,47,96,17,83,37,82,53,77,82,69,22,3,62,96,14,60,36,36,48,91,4,89,86,11,33,91,49,18,14,14,94,46,64,90,68,34,24,69,47,46,68,64,10,36,70,97,15,33,65,67,56,94,58,81,16,48,37,14,96,5,7,4,41,29,17,29,34,42,58,53,53,30,66,68,5,65,87,82,79,90,30,87,23,15,53,58,42,32,3,51,56,0,82,35,76,71,11,58,95,70,17,36,21,68,18,53,33,71,48,35,1,28,22,55,73,76,85,43,94,48,14,63,59,23,7,72,39,27,39,6,99,38,75,3,21,90,62,42,99,20,91,72,1,57,5,49,81,48,66,58,73,30,72,66,51,22,74,74,49,94,17,90,28,31,8,9,74,66,7,99,5,91,31,15,25,74,95,88,3,68,26,51,38,76,77,51,18,62,22,82,79,75,24,18,0,93,5,58,17,64,28,54,25,43,68,77,81,64,37,8,29,50,57,53,91,38,75,99,38,28,83,36,81,15,92,72,45,70,2,60,55,29,41,6,32,67,84,77,65,43,41,25,3,70,81,99,9,81,35,18,75,6,31,85,25,3,66,15,5,57,85,28,98,69,99,44,75,70,34,23,30,98,79,24,43,13,97,2,38,72,14,7,9,94,55,7,53,3,77,99,25,10,18,12,40,83,75,60,15,65,23,1,44,5,75,27,25,88,30,52,61,29,56,54,62,71,33,17,50,31,66,90,57,4,48,67,90,7,36,21,29,71,72,46,93,58,33,39,99,56,76,92,37,49,70,56,38,5,15,7,27,66,60,60,5,9,15,97,20,94,25,58,73,98,53,31,75,95,95,19,2,36,50,85,11,5,15,64,46,50,59,61,64,47,43,48,98,6,23,34,84,6,62,2,61,3,39,19,23,72,28,62,70,62,71,65,3,75,60,59,88,78,57,28,15,53,87,44,22,4,83,70,16,97,47,46,30,51,77,77,4,94,7,47,69,6,35,84,36,23,97,72,86,13,43,29,96,54,37,19,96,98,15,60,33,11,19,3,28}

{49,2,81,24,81,7,72,91,64,75,19,27,65,75,92,25,21,61,49,78,5,64,9,89,20,44,21,85,14,85,57,29,70,62,85,26,11,23,65,6,97,22,40,98,90,67,8,82,97,71,70,82,39,14,9,39,51,2,50,4,6,99,82,5,98,38,58,16,42,45,77,54,56,16,27,43,76,74,6,40,20,41,55,55,35,7,5,65,54,16,48,65,16,65,60,77,29,2,36,15,49,88,44,29,6,93,19,85,2,68,81,41,44,59,25,35,67,6,98,97,79,3,22,56,0,68,22,22,97,3,37,9,39,35,90,35,48,22,40,25,55,0,49,60,13,61,88,5,83,87,30,59,45,50,30,9,43,41,15,0,0,86,60,64,82,34,96,63,36,49,14,16,28,49,48,84,45,88,23,80,11,67,81,94,97,2,64,99,35,80,98,89,16,14,50,83,72,46,12,31,57,46,40,2,62,12,15,84,50,31,89,22,96,89,21,22,59,78,11,15,90,2,25,40,67,46,92,84,11,77,19,36,64,74,18,23,52,31,9,49,95,69,37,74,63,46,89,23,4,22,25,79,39,60,14,40,35,34,42,21,58,64,20,68,29,96,30,99,74,18,19,36,46,30,40,18,52,89,37,44,97,93,14,99,88,95,16,88,50,56,98,21,60,81,89,37,43,70,37,69,95,57,30,26,65,68,92,17,69,21,57,18,58,49,76,5,35,99,11,89,73,77,3,11,98,55,27,64,6,46,16,33,14,48,0,46,74,87,32,28,4,66,57,38,92,25,84,34,25,61,62,59,49,33,29,63,54,32,22,9,84,34,50,34,2,71,0,59,14,67,53,34,94,43,88,98,35,85,60,58,3,6,86,5,70,22,93,41,68,72,52,12,90,67,65,43,53,84,90,37,43,7,74,40,3,66,87,4,43,85,1,2,40,95,1,88,69,20,92,1,15,54,78,71,31,58,76,70,92,14,87,51,67,2,33,13,99,97,65,83,90,61,32,91,75,40,43,65,3,27,72,72,66,90,73,8,0,89,5,23,4,5,9,27,71,92,78,69,70,89,56,73,44,28,98,27,4,8,14,14,94,35,19,73,0,72,76,30,25,43,65,9,12,92,43,58,44,44,32,8}

{2802116,572745293,22406,481912340,2665610,906624153,43273979,178155278,5674304,923874773,334462187,9013566,1875856,687036663,452395776,97,2397253,1222904,916487332,51996843,4559931,62377950,693923027,351796055,4668521,92270766,9920488,1685106,49640,1685861,29056785,729738,556534179,551096848,1676193,78,492343127,176955997,521442,90353569,1578725,8150,5517,737,766394872,5820114,133953784,63330167,717747,33889777,387584327,63329456,5504749,5487298,693923682,2861660,6297217,534529310,50750,54580908,4314537,49237181,72410267,91495904,4559869,572804084,7744,774144220,874110,50803,746166,4597141,1451430328,772346957,8946619,5960434,539212903,452905404,939829700,12134,841102038,156444776,960628,8947,256371691,350064333,9178,520481,5548242,770880206,736987,610849973,766733273,529233,6347545,772110660,729741,530688396,2790,1187,2754440,906624136,39357579,161462679,4314487,9920315,8254132,493572327,539218368,5010340,67114,161461768,83679052,919078229,5018026,256423472,528785,381981937,63328779,241878404,241883162,180761433,386296302,611521505,38938403,5017069,7715,5360329,194417135,60,5821084,1304238230,36047182,319216260,256419698,300136245,30169575,4560548,2257,2397360,556551059,38939448,2782463,6303410,908917835,5643745,920,5586254,736959516,385566733,78268895,1023849855,68,1755,178146379,693922752,43201257,159777664,1073871,34271204,38209990,91445916,12438536,964414744,64522509,1364927351,43274017,3251815,8975916,5641278,4283693,765328360,578391019,931346331,3342088,342715162,4505,5463132,12250110,6073407,4560611,7325,43220828,130407145,36880,534495632,1803561,6020198,255694499,46288213,6941,9171243,593246451,43243190,46288326,766393082,43274018,812089641,12270157,154937460,4712747,841101976,9841,534495827,152229452,56223522,693922504,371727587,46288302,870922638,3098904,641,60,148520342,1156,170,993762580,53121718,4560626,2618177,5013522,533858500,6299,578385536,44266805,841817294,496638982,347201463,8076854,726864,55076493,241835145,929549016,452905384,89,37056512,9920387,157691896,693917556,2755042,3269704,944144162,4239484,29012526,7217029,836214266,9796242,17542501,56260493,5827281,97506035,241887603,2892391,6257487,49824,5525,321966888,433666977,1350845,578390971,7764,765447686,52571,4950111,1211,496645109,134881284,6073365,585493415,538982055,1958607,43669,841102065,186124413,4319863,189921607,7235,351796043,5100466,94146604,1063669,151542273,50748,8685762,556559881,2329352,765328369,693923673,66267,866215192,4487079,928924168,10608763,157624538,7487191,5827370,1546543,510271733,5826150,944143520,2362286,1729389,178155303,645207,943622713,1185847,591115288,928924115,387584348,495257319,17564457,173668967,6939,244454118,509691702,1072742,657851616,6082597,537116147,569218779,43274931,746221,904004930,691289445,4669184,21,897681865,952536,6926741,841817267,765328367,5586924,50654,3756694,2938784,841107392,793621198,707067160,200702248,1198,54789040,47481294,135029499,483722968,496645103,928924260,333772923,495257305,98,179306412,5463058,964138111,2755201,604851524,1587964,11600610,29511131,199884832,90,693921907,343673987,541251772,4277,495211272,589804488,30169578,38932294,965361891,906573469,45279,919,495257353,34108321,44346818,841102017,9919696,256416518,7162045,9186829,6081063,607775153,48563796,579302486,5826643,553804777,556559798,600474022,568406641,5017299,43272938,906624133,50130588,46292530,6296185,6815851,1072763,693922736,342716241,13627,5827371,5741237,906624172,29020131,4528,2618507,46289035,228603943,873613735,3390834,712324,126821441,74,47091,2395515,133390497,4560633,944143452,1232,495693559,782002118,989,964821350,49646403,28488212,157684393,1065143,44979079,556559165,500959531,17559762,273433369,342708929,4321731,529039356,529018866,914895806,8685771,2901689,8774537,765801824,43269729,1228355,199864326,556559952,934053803,29434450,1594340,3133848,931209773,2647929,1008024068,43274005,4515535,48680,1036,97504898,38938671,377124246,94667351,17610395,21,766398696,1250390859,780337586,29430711,496651787,891905617,825953520,556553667,9796319,609667518,55309790,89999641,906624204,7365,935201888,50996080,185262457,342745928,2777,12942093,256414939,51526941,91495628,875488899,44346749,44273996,178155208,1587958,4754630,8774520,693923698,41281828,496646178,5230669,5579374,91849660,102723113,197020319,97506048}

Returns: {344958, 38594532, 37987858, 97087610, 534495725, 7, 2615811, 3487, 882, 55309617, 446, 299, 47, 4314405, 888293979, 18330229, 13440815, 84065198, 6923, 693916737, 93, 66, 970092, 3590516, 47103, 41235413, 98682, 913837057, 9975, 40785, 97, 1111, 3216, 771398416, 104, 53, 1, 4486334, 8253504, 576, 6, 11, 44, 8, 40, 65, 8208656, 9401739, 8237688, 473680035, 121, 4, 641602, 4340, 8942298, 64, 4, 36, 99, 1, 3109, 178152114, 78366852, 79325645, 41, 194407901, 5531891, 55035, 146870, 495110414, 268637, 256155453, 9491, 43048, 4817345, 1009976, 8979898, 569411070, 2, 2892391, 5465, 9, 84719018, 76743664, 318939, 5041484, 1072810, 3, 98959, 94569041, 41, 21, 140, 841101706, 790, 7341, 1, 729640, 2752008, 3127, 850, 958, 6250, 38, 97, 8, 109, 862, 758318, 829588, 60, 8915, 610361383, 33007, 45173, 869, 7669, 1, 965058205, 308201, 6298904, 4519, 1192822, 35481, 5459773, 3348, 1, 6144139, 951666, 17, 15, 521447, 46288250, 120, 7326, 13, 65205, 4952729, 795974283, 148169866, 556520429, 39474, 29439864, 9, 33, 43273960, 980, 8, 13, 29012379, 163447, 928760765, 44261672, 12321, 721150, 5794, 50803680, 15, 91187, 241796412, 48, 130, 7400, 60559, 63329446, 46, 765504014, 895311, 342715091, 8, 8, 1685054, 4419599, 87076926, 82382907, 303913259, 85, 8, 45719, 9126511, 155, 4411, 4, 12, 496645132, 5, 9919750, 719, 73, 4668286, 39650, 2357631, 34, 4, 9236, 2, 769, 23, 8, 6073352 }
{1,1,26,3483,1799412,60,443613778,782682829,1,388256,950988511,79736,5,7668,440,715795657,908114265,56127,6610,77881454,9175064,9,1,1,6765,885307,553,808629,1,89348,29833,59,4590,22944321,1,112238677,9069,253162235,1836,56,47903382,7730,74,444279,12834,1,1,46948042,10238645,219549127,529046,716110,879034,10094414,16,112949841,1,279345,1,7387,1,4302948,1,829717,57,2691655,7798,126370,616,89275,433,6592,36294,844829437,9265285,421327,1,6808770,6025201,319993168,778331,2648,7486093,7260353,94844,9704,3,853956,1,424711950,39404,7,12306825,37876,3020443,772172119,960378,749,63,42064}

{15,19,77,3603,1799417,256,443613784,782682839,1,388488,950988513,79745,46,7901,695,715795822,908114284,56491,6726,77881480,9175285,15,26,10,6769,885455,583,808778,11,89355,30026,72,4729,22944386,29,112238738,9196,253162540,1849,77,47903414,7736,233,444286,12847,100,14,46948046,10238647,219549183,529391,716167,879057,10094522,56,112950184,9,279494,130,7392,6,4303288,89,829721,84,2691715,7803,126386,638,89316,830,6747,36463,844829820,9265309,421383,79,6808919,6025207,319993301,778350,2671,7486095,7260382,94967,9804,9,853959,12,424711973,39703,448,12307156,38030,3020721,772172132,960378,1208,95,42068}

{57832259,606369,6,1,8,1,312,746,92,403986911,1064,160729,77072,1,6507734,3,541483,1,927,4410582,1,985135496,2362,303020,5938216,53,1,878,869034,70471,21,5324587,27793,1,11492722,32687882,3397,551612,146,406,1,41646,1,81,563780,1,214603,249374,146038,73165,1,1,90623,45,244945970,228340889,55940,647,962,59235,3646928,1,1,26,722777,750100,19823,1,16178957,1359,24409920,1,47967,92,1,5597042,6,20558,6950559,1,2463,5894735,3873447,187337,589110,1,219940661,244,95323336,5569,171477390,99351,9027,82,2236,1,1239606,63231,1,52}

{57832281,606615,15,50,12,19,400,836,114,403986912,1208,160798,77220,15,6507744,7,541492,22,1311,4410913,57,985135737,2505,303022,5938242,77,1,911,869103,70683,457,5324711,27794,5,11492732,32688000,3399,551741,153,568,1,41672,111,82,563798,2,214782,249424,146046,73167,13,2,90697,79,244945982,228341179,55996,670,979,59243,3646952,12,4,183,722806,750133,20248,6,16178958,1548,24409980,159,48084,92,176,5597073,10,20607,6950578,40,2485,5894836,3873702,187413,589115,1,219940717,245,95323352,5586,171477396,99351,9032,90,2510,18,1239606,63345,1,84}

"BWWBWWWBWBBBBWBBWWBWWBBBWWBBBWBBWWWWBWBBBWBWBWBWWWWWBBWWBBWBBBWWBWWBWWBBBBWBBBBBWWBWWBWBBWWBWBBWWWWB"

{57,44,91,19,66,83,70,92,57,84,77,64,72,72,42,13,65,50,62,63,51,76,74,6,62,86,60,24,38,69,18,83,92,39,47,17,9,64,12,74,92,67,31,72,84,64,13,3,4,41,94,72,41,47,94,48,75,28,16,27,80,95,70,16,57,7,0,49,87,89,13,49,10,16,90,17,7,11,54,84,77,86,95,98,94,84,42,72,10,94,81,50,35,7,55,84,31,63,88,83,38,3,13,48,87,28,41,50,63,20,17,72,28,97,41,36,47,57,83,83,52,0,68,26,6,98,54,97,51,79,76,54,30,82,60,76,86,81,34,17,78,61,35,96,39,71,64,64,80,12,62,57,60,83,11,94,60,73,24,45,6,53,38,25,43,57,92,71,13,16,53,2,0,7,46,16,65,70,7,98,5,84,10,46,67,76,98,8,37,64,62,25,52,0,72,25,45,41,72,32,72,30,18,25,52,5,96,46,4,92,80,99,79,53,8,81,62,17,84,42,90,54,37,3,73,15,76,15,10,22,68,83,11,36,28,6,45,78,5,73,85,4,6,54,86,38,9,61,43,35,58,45,82,44,52,52,86,71,81,78,9,39,79,86,69,92,46,68,77,75,51,85,40,60,16,36,33,10,35,94,95,99,3,22,60,3,12,93,86,38,19,55,16,94,29,99,26,2,67,37,85,55,84,7,25,64,6,87,4,84,72,56,13,24,25,55,88,77,97,12,53,47,90,39,32,72,75,10,28,17,19,3,90,27,16,1,36,41,94,39,94,64,71,29,47,36,1,45,22,38,14,77,74,60,60,78,0,65,34,45,7,27,50,95,19,21,46,20,90,51,59,58,29,67,67,51,72,21,50,74,63,0,70,13,92,82,51,96,27,70,91,99,33,24,85,25,38,32,70,67,76,18,51,77,94,42,77,60,32,59,4,97,38,45,9,41,57,45,77,48,44,46,65,0,87,75,53,6,56,88,31,12,75,41,67,1,86,88,36,29,18,9,17,80,54,45,68,83,58,73,27,66,87,3,21,42,4,65,30,46,0,24,37,81,38,95,7,90,32,46,43,83,18,26,70,54,52,76,12,45,27,13,47,18,6,56,84,8,20,6,57,27,63,29,75,40,68,99,53,99}

{5,13,85,34,41,92,77,77,87,83,30,62,78,32,23,31,2,56,57,50,63,10,79,46,12,37,10,52,46,58,25,44,1,97,93,90,22,16,89,41,48,9,84,64,0,11,35,1,13,74,15,86,30,78,2,96,82,15,97,8,37,69,16,34,70,47,23,90,69,43,94,69,84,62,2,21,21,54,29,62,26,27,38,42,33,70,70,97,93,46,24,90,63,54,63,11,11,96,25,85,90,38,51,46,28,46,62,17,79,37,41,92,11,10,69,14,61,96,11,90,46,23,98,45,64,81,20,93,3,31,66,80,57,1,64,13,35,5,12,2,62,45,83,25,87,65,71,54,70,1,37,80,58,22,39,99,34,18,36,37,83,56,32,55,36,85,7,73,35,73,81,96,89,20,83,4,52,85,74,23,36,49,53,77,26,76,78,14,51,58,44,40,39,76,44,0,73,57,51,11,20,68,31,80,9,66,56,89,70,31,71,7,42,4,66,34,33,12,36,22,64,20,34,90,17,73,11,51,94,84,30,70,98,39,16,84,21,81,39,14,7,62,64,84,88,15,1,25,5,10,12,45,51,23,37,99,95,92,21,9,21,46,9,57,31,40,37,30,47,99,4,48,92,88,42,74,80,77,76,9,90,39,29,26,33,67,68,2,49,43,83,8,58,22,95,88,10,61,96,73,52,72,6,20,36,46,46,75,1,58,78,22,66,97,88,86,33,50,4,53,76,58,41,13,16,32,52,79,1,15,33,83,45,87,97,45,69,39,42,28,58,81,1,22,52,45,70,11,17,4,30,52,64,80,8,3,41,56,90,37,92,28,66,21,36,33,77,67,58,41,3,0,82,50,73,91,80,30,30,3,60,91,76,15,86,7,36,44,77,76,38,84,39,35,95,22,76,65,88,49,82,14,51,25,81,63,70,83,18,73,11,60,41,31,20,74,23,69,62,77,57,65,71,5,20,60,48,80,59,32,46,35,21,92,90,71,39,50,40,46,39,22,6,38,64,53,77,37,64,70,16,42,42,32,40,18,13,25,65,2,50,12,29,30,89,91,56,78,44,27,48,45,73,23,55,30,76,17,19,19,60,4,2,78,53,41,77,76,98,33,77,8,83,52,36,32,11,30,22,50}

{280019,568747,109080,84963282,21468,5224996,31197660,5509787,574896,7567120,6799532,722859,12891336,51921,303092,5332441,3441768,585015,280107,300664,113582,950989572,310727905,443828139,77215,472551492,954634366,6719835,216358,89820,879463,7623927,12904390,63723,47159383,171493840,404373002,908295537,424783585,9299174,2205368,404249006,4830403,711238,57338111,641744,144918684,609913,1791530,9299174,712777702,219929177,63723,47624017,3022939,10371830,8788276,716664698,908591566,809437,252933438,772084354,931982267,919065512,24688292,735983363,57529246,390913718,765939,424273182,3015075,219531530,951481585,908655766,171517032,985191707,1767817600,244864955,244964722,684078,6828836,220748457,772170435,13,19926359,23915331,24410322,50911,950951530,3232628,47570,171966798,144096834,1027627973,340461270,443587,5243546,1370238,96208593,7438049,171515071,1802,708270,10307269,1722746,654368,49380,472958,319163475,244539156,90034,12309479,788032,951049859,121684,6512966,42894177,1919875,7207297,178510692,1003050,57529246,16179488,553,444336219,5897324,254121040,100305,712669,325317716,28039,245721810,250250,10753137,2924180,7901,299491500,5897322,11415523,56104,12975765,4303257,137478790,1314622,854062,3435175,729308,244223211,25185329,529231,253714248,500703,3645949,7445401,240014,2980854,7845811,844823930,5937123,253714248,436540498,10150320,30517,340405654,438533,270368,770384045,844823278,144918684,63825865,15986499,2199952,482538635,773508563,7287641,906856342,2472113,24419216,773418345,303105,12377,219970146,940895108,7002850,125830,0,12975679,6508091,252998086,721881,576641,47018157,969208,57832256,539444,58717509,844829901,312727,727671,207983,9186591,16208149,5330338,109400,404386814,27960,2144039,424921045,26208883,17622519,774187,782641540,319993098,8295049,27956,5600608,22944320,133329,671613,2410,170794203,254121040,264103528,171513523,844773767,129034228,240482,715079511,947969478,681691,16208149,31482451,240405,11988,908441825,444107618,985135603,7078355,429,851337014,782673916,1799424,444336219,244451812,124617349,715793972,403768943,3418005,444276,871436625,76237,0,10643421,273622,252744563,927570,992112812,12309409,979243471,402673066,581537154,214316,723591598,220219501,5412321,35605439,253499577,16208149,40368045,5976304,1083262,10374951,35605439,91676424,908655693,9259591,22168468,944199256,144926569,406616392,943609844,42364,156393,2890,26591247,122890,16102359,38021,439416686,442513,74844588,341290922,908654788,3020582,772153362,95365354,950989028,4303237,2073599,592218913,959946,341206585,444107618,773508563,879581,508188,443828139,6029386,2405826,683100,12891336,53598,20336,5880780,96208593,121350314,118267661,6300309,1861826,10171592,10094464,47196456,171467682,8243,908623258,51921,5964058,630996410,262615,715739541,59348056,7444249,171517062,45940,908591566,606446,82101,48903,3022896,868684,3021991,5174551,612981,157545,46227749,12465,23803949,240491,58459,1797715,6537106,5999800,9988009,4422779,3646835,12972226,57798345,3385855,160024324,253714248,770384045,1676806,541524,1757307711,82279911,1008079905,7002850,9048709,171516084,750074,63092,57831287,11199651,402697,844703518,815503,787361,985165396,499269,9261771,4476619,57732916,24410386,715787779,232238656,779069414,710491,1623341,6019860,24410386,101032,641963,22944671,138981598,772162387,887589,1982,3409290,70913864,219495945,11359574,6513084,0,5944029,8910075,829671,31197660,10719901,28867,844881572,1880409,3584507,47389,5324665,412773513,9299174,581834,90798,6829389,3555301,829768,3227127,3435175,57832335,8321371,2371492,290217,442837620,10688,95300263,5109994,144849363,979959910,12331882,171564101,612981,219940335,95852421,47897738,233431,7180,404373002,443557960,778819,244223211,10094473,22966521,246266460,721881,869239196,907846237,27975,854126,28969,1033038994,7584,1791530,2556438,3411941,214687,58361337,5867765,253554316,5921925,424715555,772271467,782737950,170512353,544133,1022438,9940326,7447788,844823930,303572,316880619,244975769,969676,56131,82215161,82292376,4454698,1791530,47197404,12968108,433519621,22023,7282329,83,9175006,420669774,6549282,809437,6618044,809753,6005954,47926487,16097335,12258,10096722,487067}

Returns: {8, 57832259, 15, 606433, 45, 15, 3540, 45, 1799416, 12, 83, 19, 443613779, 313, 782682829, 820, 1, 93, 388480, 403986911, 950988511, 1072, 79743, 160748, 11, 77206, 7896, 4, 451, 6507734, 715795657, 6, 908114265, 541483, 56127, 15, 6722, 947, 77881454, 4410876, 9175073, 15, 15, 985135520, 26, 2363, 9, 303020, 6766, 5938216, 885311, 73, 554, 1, 808651, 880, 11, 869034, 89348, 70586, 29926, 121, 60, 5324587, 4717, 27793, 22944321, 5, 18, 11492722, 112238696, 32687882, 9072, 3399, 253162450, 551656, 1844, 149, 77, 426, 47903382, 1, 7736, 41646, 82, 9, 444280, 82, 12847, 563796, 29, 1, 14, 214671, 46948043, 249393, 10238645, 146043, 219549127, 73167, 529073, 9, 716164, 2, 879035, 90652, 10094417, 58, 56, 244945970, 112949925, 228340921, 9, 55940, 279465, 650, 1, 979, 7390, 59235, 1, 3646928, 4303255, 12, 18, 2, 829718, 28, 57, 722804, 2691656, 750100, 7801, 20245, 126382, 3, 619, 16178957, 89286, 1514, 468, 24409929, 6592, 159, 36461, 47970, 844829791, 92, 9265296, 40, 421379, 5597042, 1, 10, 6808787, 20604, 6025201, 6950566, 319993171, 16, 778331, 2481, 2658, 5894754, 7486093, 3873480, 7260379, 187409, 94965, 589111, 9746, 1, 9, 219940661, 853956, 245, 12, 95323337, 424711950, 5586, 39674, 171477390, 16, 99351, 12306995, 9029, 37975, 90, 3020457, 2496, 772172119, 15, 960378, 1239606, 893, 63313, 87, 1, 42068, 71 }
{1,602458,6294059,822835454,5347820,3403,28,2666,1,54089769,87358,1,214,4126,928566,73768,7857,5,96988537,693220,956,7919,111318,1,125,71791,184074938,71,46834161,1,1,8500,2,747230386,1,509699,1,5645,92,391670931,51476,207638,1,1,34,1,291002186,209,4,655017,8994,95410070,83,109378184,5061,959262254,9865420,1,6214653,52,1,350954,1,47862,90015,1,3341,1266979,1,51229,28991457,12644840,31127,1,4097,1,478939235,53284,1,48979305,21191482,8951,223,74656,1446,87463139,19722617,304,442898025,2142,243165830,186,689550343,4680470,2484,580160921,5485547,1,1084865,65389}

{110,602470,6294192,822835804,5348137,3416,28,2676,10,54089772,87365,6,518,4504,928625,74048,8147,7,96988576,693220,962,7948,111389,8,135,71963,184074997,94,46834186,21,121,8593,107,747230387,6,509794,46,5681,389,391670985,51509,207643,5,4,34,315,291002242,212,21,655018,9003,95410193,128,109378186,5084,959262262,9865471,4,6214796,198,9,351006,21,47959,90190,6,3581,1267068,138,51232,28992085,12645083,31189,35,4168,5,478939717,53643,37,48979335,21191486,8955,252,74689,1469,87463336,19722635,413,442898086,2153,243165841,406,689550376,4680521,2517,580160937,5485602,1,1085334,65391}

{288753520,351394,20652,48,202,58062882,31436,5102517,5,559985679,8695,894445479,1,41935176,7,1,3478959,88,216713,141,7365455,216771,1,5342,2,1,65848171,98916,80694,5463829,880660,1,30,4778034,8,5,289,1,5983,1,6089,1,521914,467040533,1,18717061,64890086,1,1,96102043,7047384,1,1,1,42598642,1,9509,7728851,820478,812,6336360,56970,1,1,86427050,74,873,362,9416092,403354,5177,407994678,1,49,46650,1,9393,92,9378693,9653799,604095053,7232,980118789,12288,710669134,81643,85811709,745268190,51,25285067,86639098,758586,95150207,94115,6329,50893439,163829,1,1,6788}

{288753634,351394,20977,51,222,58062924,31448,5102772,9,559985789,8867,894445669,420,41935192,10,118,3478965,196,216889,205,7365461,216827,4,5358,2,1,65848175,98993,80799,5463862,880819,9,37,4778324,54,9,289,289,6121,7,6135,1,521917,467040611,10,18717183,64890089,9,225,96102058,7047646,124,30,38,42599150,92,9534,7728855,820508,855,6336365,57123,113,124,86427084,113,1098,386,9416092,403595,5339,407994853,7,273,47025,257,9405,95,9378702,9653960,604095067,7235,980118805,12301,710669137,81648,85811763,745268196,168,25285086,86639122,758651,95150315,94415,6346,50893784,163925,1,3,6906}

"WWBWBWBBWWWBBBWBBWBWWWBBWWWWBBBBWBBWBBBWBWWWBWWBBBBBWWWBWWBBBBWWBBBWBBWBWWWWBBWBBBWBWWBWBWWBBBWWWWWW"

{55,83,26,53,91,13,89,54,80,56,38,97,68,49,58,75,8,25,79,56,21,78,32,40,46,71,16,54,88,15,38,11,61,22,36,92,90,61,67,98,94,46,71,28,27,80,47,73,34,50,94,12,95,83,25,90,59,77,81,66,89,38,62,29,86,62,31,10,87,31,97,6,34,9,89,55,46,54,87,76,24,82,45,3,18,74,81,65,72,63,40,3,0,56,89,75,24,37,70,11,63,48,87,57,71,9,15,15,97,51,12,20,81,15,56,3,81,76,43,14,6,4,79,63,7,40,22,20,31,34,11,55,43,63,64,46,70,2,75,13,7,46,20,62,7,51,77,55,55,39,52,58,38,9,29,2,40,45,13,43,52,95,46,97,70,85,91,72,67,57,59,26,27,24,16,28,20,0,8,74,98,32,25,50,93,92,32,42,62,40,69,26,70,66,94,58,66,56,15,46,42,40,51,79,84,50,36,59,25,17,61,87,4,79,26,87,64,68,78,97,93,4,29,0,52,82,60,88,72,57,46,86,74,69,21,16,32,87,37,32,65,90,64,93,71,32,11,88,37,4,12,52,0,7,20,85,3,78,11,0,27,86,28,58,27,37,22,10,35,66,34,19,77,81,68,4,71,92,95,85,67,31,83,70,42,23,4,72,19,88,13,40,82,53,1,37,91,82,14,38,55,21,4,88,13,1,27,26,69,16,67,71,31,28,71,68,26,5,2,99,93,56,20,72,75,1,31,16,8,28,41,8,18,82,89,90,51,51,29,79,20,24,46,95,34,75,16,6,50,51,74,67,7,73,95,52,72,45,65,16,23,15,41,15,53,35,96,67,96,28,14,27,31,23,46,98,77,39,3,85,41,57,23,97,63,21,17,6,62,22,56,86,71,44,30,16,40,16,32,60,18,78,12,72,49,58,59,87,46,32,57,74,35,37,83,20,97,75,3,23,29,55,64,3,60,28,54,51,21,86,23,24,56,66,35,78,51,74,87,47,76,51,73,65,81,36,66,46,71,73,38,24,88,29,59,23,82,82,70,58,32,17,71,46,80,41,98,59,56,52,67,47,65,70,98,17,99,51,49,58,90,78,40,61,57,60,35,94,37,46,41,6,84,8,62,58,35,97,37,13}

{60,41,19,92,26,10,10,79,83,49,90,45,35,96,54,40,20,60,26,76,91,49,38,28,5,34,1,75,60,50,20,3,98,37,20,51,52,96,85,64,21,98,37,58,83,10,16,48,88,37,77,25,14,2,35,33,41,36,66,89,6,94,29,52,50,45,59,68,73,82,62,23,80,63,80,37,25,30,32,71,20,59,53,6,29,78,1,65,91,45,90,55,29,26,22,82,95,44,63,58,30,99,16,5,24,15,47,86,37,36,98,34,78,19,47,11,57,7,22,41,34,24,18,90,61,4,47,78,61,19,32,43,49,68,69,18,36,35,33,34,67,51,69,82,5,53,65,30,89,84,99,15,55,90,76,8,95,94,26,1,18,92,63,61,96,14,95,81,41,2,96,32,70,65,52,56,21,94,82,85,14,59,22,41,35,48,92,89,52,11,30,89,20,81,0,7,89,70,95,99,75,55,69,23,37,48,59,34,53,49,92,41,13,32,73,56,33,17,49,97,73,91,77,81,20,16,9,84,43,49,3,47,18,56,46,16,28,47,63,72,55,80,95,25,39,50,14,6,30,59,88,68,32,43,0,66,71,61,57,86,22,47,64,40,62,44,17,67,4,38,33,1,9,9,13,98,50,2,76,32,94,94,85,44,79,50,34,80,96,90,98,82,91,8,5,52,78,53,57,51,31,7,98,49,13,83,14,88,96,90,3,75,80,38,78,10,71,2,72,12,45,27,18,75,97,95,21,94,62,12,62,71,19,63,81,88,86,76,82,46,26,1,2,49,79,14,15,30,28,4,84,78,89,77,21,94,66,12,21,30,89,0,0,29,17,25,44,52,88,57,31,4,15,39,56,93,30,98,46,23,21,16,29,23,32,35,51,44,23,50,91,83,56,99,62,88,89,57,82,57,25,5,26,49,95,79,41,30,97,75,48,41,94,4,5,93,67,84,72,83,56,82,83,45,82,29,91,59,45,26,84,84,78,51,25,90,98,80,42,8,13,21,13,81,7,99,69,5,71,55,39,30,48,66,46,56,18,87,92,63,45,59,30,37,15,1,91,86,43,53,69,87,26,59,73,7,7,45,66,3,72,7,81,49,3,34,60,46,66,29,98,80,46,39,78,18,35,73,70,69}

{965598881,145589,249230124,675322488,249164618,42009561,25361487,81919354,625199700,105302957,329799024,18717760,9926207,100769030,47987858,57555,7366831,6408421,191289970,469074457,549945,87378505,6340,46857457,297826332,420640067,3722129,42603816,449234614,7112440,7360259,1717281417,791421,105883,7366115,689290576,329805025,5241709,86277802,87422161,215925,354807579,420634416,41359552,161282,625190752,3486944,313,442898196,7050988,57443,71481,630125894,6228083,438226,585925483,208632,53815,12125,25285434,25255808,2774,5463867,5464184,98478082,18717565,9768,9494604,745268723,980127295,69,26246,625286823,614027813,599999669,959256724,355820748,41723314,745268987,874280632,7366365,980118253,128095032,822867251,102235807,9335942,937955,134,789930,18764970,329747470,136426683,283289896,240048324,25394387,980119369,631054546,5879,28949430,899839869,928857,72329,741797395,50337455,420639621,614001617,74123,105460442,5718,95410785,1084822,7366646,9380748,619521,9874943,1717281824,7730688,484030431,467152243,721028,31510,5348239,57446592,329756989,5393981,5302643,111338,2014591,399411,693443,894445665,1426302949,371593968,9464353,86062735,258687194,28997199,5805219,752008913,41939785,6366582,260482279,7012565,980119402,52961403,13968084,53361,960142963,984545541,1102338979,72272,6961171,959268299,662422894,484394301,6315269,630997072,18713173,207983946,467291934,97205496,153646534,355844443,407984,23664925,86616266,630295677,29813,1059885,14002485,5648765,249923157,29085412,469,3487334,37040194,7155827,288749878,980119181,87493804,156822,933,39769,7246260,4265552,784700777,784700651,24765477,518,894491148,528674,224636312,36351190,12087,288750083,10494404,25285639,19130636,630980574,355820299,521890,959217119,95762338,58627994,710673653,7056583,1004,908,109306695,96757063,784292915,745475584,47278774,58633239,249923191,755124117,828789158,9416410,87378417,210,4774984,6106147,5517146,288755436,7366451,976647808,607739231,1153565971,467072165,89028452,596723885,105534207,97154378,10208400,355668012,154,46915368,745268646,42428,31501,959262575,739430448,615604424,4703310,787021053,7056444,895374656,442929587,886823,5348649,442897838,9416532,288753587,461940722,281389423,87540811,1218185785,9673120,886717183,222664827,210241,105534323,133090583,6977820,99400,5980,111806,1188179,4838475,8606,752008586,442409,614022168,614059521,32523555,4263183,413583325,778385822,152105300,87545199,1270560,12653,87458059,28997162,58111657,7051454,5348352,625255624,4956420,286371348,43016212,980164248,979360616,109378416,58310815,5593,8620293,1089496816,8657631,95416267,959254069,4891286,4262967,538345326,45,867248,1027492,324671541,5674180,326317873,821569484,420639932,625277991,46908767,411261173,9494907,513577220,64333240,6284034,71922,23303065,9954784,104136447,31680,295,630100788,217648,3478400,121,46914545,207661,420640110,96512325,980166913,25284901,286371504,161499367,383538928,974655339,297259245,242556829,954146,349577619,624714789,58633559,929069,3545153,849797,53791915,90062821,710625172,10645482,20183084,53657,630829754,9127,28884,18717353,224873,2606299,25282063,288827744,288961362,5538224,109378330,438250,5649437,1267282,437576563,54482669,920433,5446735,65477,391676552,346017560,3690110,934119,390586095,596723911,87539872,416572,4258291,5458564,5391,48213,718996,95410608,31845,5446,7150121,10614553,105447534,410765132,72362,880972,446369209,25328291,4258303,980119410,1392769,97133650,48687976,249922888,96726099,624714819,51598199,208537,744387877,355892720,123,7729291,250737,513615,5342428,58122201,11950625,1267701,710670613,822804830,82045,15320171,1939381081,86430605,841552725,973782991,52217258,41845264,95411305,18507923,184316082,710665349,710670702,19234853,95408051,438005,320426398,94325109,625235859,744746782,468,520861318,95619368,41939768,16308,5101796,72206,450472,297826238,343,959262559,391676976,881282,442898425,5466549,355891816,9869811,1076890809,234851236,755703852,6987476,18717747,988,419758970,355886779,625212845,746365,1843775,105533597,476896752,109378530,1618867,745268690,249923135,28996258,1085337,5105636,5158923,114127362,96753246,817441898,329774038,4278993,44012,96349302,830564879,6336711,6846280,355883737,3446,350428823,877707,625255065,936780072,391671060,9378888,91377639,190,257,28991827,41578673}

Returns: {54, 288753564, 602458, 351394, 6294088, 20815, 822835630, 50, 5347821, 202, 3409, 58062901, 28, 31447, 2669, 5102644, 7, 7, 54089770, 559985732, 87358, 8786, 1, 894445574, 514, 5, 4346, 41935179, 928622, 8, 73939, 96, 8100, 3478965, 6, 142, 96988546, 216763, 693220, 142, 961, 7365455, 7947, 216827, 111349, 4, 1, 5350, 134, 2, 71797, 1, 184074964, 65848172, 90, 98920, 46834161, 80798, 21, 5463830, 118, 880701, 8571, 4, 3, 37, 747230386, 4778179, 6, 53, 509754, 8, 46, 289, 5645, 74, 299, 6052, 391670958, 4, 51477, 6100, 207639, 1, 3, 521915, 2, 467040572, 34, 9, 307, 18717069, 291002215, 64890087, 210, 5, 12, 113, 655017, 96102048, 8994, 7047489, 95410116, 17, 128, 30, 109378185, 3, 5081, 42598793, 959262256, 49, 9865448, 9528, 4, 7728854, 6214653, 820508, 116, 817, 6, 6336363, 350958, 57009, 20, 42, 47907, 87, 90189, 86427050, 4, 93, 3468, 985, 1266980, 386, 137, 9416092, 51232, 403471, 28991811, 5289, 12644970, 407994741, 31160, 4, 35, 49, 4163, 46997, 2, 142, 478939656, 9405, 53361, 94, 37, 9378693, 48979317, 9653938, 21191482, 604095053, 8952, 7235, 243, 980118797, 74672, 12291, 1458, 710669136, 87463230, 81644, 19722633, 85811728, 361, 745268193, 442898065, 128, 2153, 25285067, 243165840, 86639098, 288, 758651, 689550360, 95150257, 4680470, 94339, 2510, 6340, 580160921, 50893439, 5485582, 163850, 1, 1, 1085101, 3, 65390, 6846 }
{41012,428902,98130887,924865192,133568,814238042,59186,120688,3515539,1,457230555,248,14915,3095,57949466,42,1,91365771,151,1,1,738027972,3462127,1,6882991,3157,1,24218,6248888,1,8754,1462,39,22652,579345228,73139953,269,45,4608408,56267949,7734,5694,67,1997719,524,191,9391856,1,1666,37798,209,35959,1,26160547,716,56216,199,10,68,97,686,8,1,15714871,58200694,2451059,1,74619265,5,20913,73860,18265156,917,1,259717979,1,95071,101657938,1,63937150,67785,1671,294341,415497680,24371,1,98,37924,27669,493969861,1004840,86781540,31033,298693,5,144,7955,7266527,9667,7512}

{41116,428909,98130896,924865206,133605,814238111,59206,120697,3515765,25,457230583,250,14918,3104,57949478,45,10,91365867,244,119,9,738028071,3462139,273,6883000,3157,6,24260,6248912,6,8774,1465,41,22652,579345318,73139961,431,90,4608481,56267951,7808,5741,72,1997777,587,228,9391857,9,1694,37868,222,36033,1,26160549,717,56220,208,13,143,102,819,29,29,15715151,58200952,2451080,21,74619491,5,20999,74323,18265167,940,156,259718013,5,95384,101658205,31,63937160,67785,1750,294575,415497680,24696,1,113,38352,27674,493969893,1004900,86781545,31062,298694,197,182,7973,7266561,9731,7515}

{98187589,1758225,1,8430531,285682,63859079,1,691,64075,60263,1727,19568,19235,684516608,1,9827,1,842,744042706,1,1,5803,1,44,63203596,580145,112,453771,935775,15,24436,5525,208,86010,89045,15,952,71,7,37,2168,1644,767308522,370119,87472126,336,435,255558,61134,1,51,1,24429,1512448,93066173,89268,28541304,8312,27903044,1409950,1,930723379,24,1,661948,39,866110,8290,1527,1,8789863,20,15901946,1,5390648,1,761515,1680,6,68800854,1,342216,1,79611028,48195,78184897,721,45557167,87,187984841,632587,156,3,24650,536715133,1995109,725,41,1,1}

{98187609,1758255,129,8430531,285845,63859292,302,1154,64138,60280,1766,19573,19258,684516617,235,9856,10,860,744042861,46,14,5863,430,131,63203601,580148,179,454037,936064,16,24474,5527,213,86282,89370,93,1014,72,12,39,2217,1679,767308530,370174,87472149,346,758,255741,61151,4,52,320,24452,1512631,93066186,89285,28541314,8913,27903137,1409963,26,930723382,321,10,661955,180,866122,8312,1529,7,8789912,22,15901951,7,5390779,24,761602,1692,19,68800919,34,342604,2,79611227,48205,78184898,917,45557420,382,187984847,632610,170,248,24650,536715160,1995111,772,241,32,6}

"WWWBBBBWBWBBWBBWWBBWWBBBWBWWBWWBWWWBWWBBWWWWBBWWBBBBWBBWBWWWBBWBBWBWWBBWBWWWWWWBBWWWWWWBWWWWBWBBWWBW"

{13,21,44,86,5,89,79,27,60,58,79,79,10,25,95,57,15,78,30,34,63,43,0,33,69,95,56,93,29,44,13,86,5,53,32,51,25,24,59,29,92,93,6,44,22,7,15,39,53,0,12,66,55,16,18,53,5,73,99,77,48,80,11,11,2,92,51,82,97,11,49,2,55,66,51,43,14,19,2,41,17,5,31,70,67,93,18,56,19,34,47,72,7,24,11,34,76,24,79,57,91,29,68,88,94,24,95,92,79,86,85,24,72,24,61,2,82,72,86,14,17,89,50,64,70,70,18,94,51,61,34,21,1,21,49,61,55,16,97,30,32,0,33,61,75,65,49,56,5,22,43,51,46,50,3,94,15,90,29,67,60,59,78,81,67,74,28,56,92,49,76,99,84,30,91,8,83,81,24,1,65,86,64,2,90,45,39,8,98,84,2,25,84,52,39,52,88,48,87,95,16,45,84,53,25,45,5,92,16,3,18,65,95,61,64,86,41,66,77,51,67,4,68,25,75,67,77,41,12,7,13,57,31,55,38,50,99,4,94,98,88,87,53,83,87,23,50,13,51,69,22,16,18,35,50,64,18,86,26,27,66,69,35,72,62,33,48,0,91,1,39,64,4,4,47,72,49,72,80,53,42,76,71,62,73,63,27,85,84,50,44,39,11,6,57,20,99,99,64,91,69,59,18,61,55,57,89,38,5,54,42,34,3,41,27,52,71,85,42,13,78,67,84,12,16,34,59,92,3,72,69,99,54,48,97,86,45,7,54,27,75,38,42,9,84,7,67,18,57,12,43,89,49,73,62,69,69,89,3,4,2,63,73,8,24,77,38,63,15,6,26,55,56,52,78,77,67,34,33,54,75,31,0,57,60,76,41,5,94,57,29,1,33,49,78,40,51,44,16,86,91,5,1,77,13,82,58,92,91,89,30,74,27,22,98,4,71,95,82,74,70,43,20,41,88,68,1,17,6,63,64,12,77,23,44,5,85,11,84,12,99,78,47,43,63,16,62,66,68,28,23,91,74,43,32,10,37,49,87,51,80,80,54,41,77,70,1,30,49,9,2,78,79,8,90,31,65,24,10,88,54,57,54,77,79,82,86,82,57,95,89,60,83,15,22,61,76,1,76,41}

{33,40,16,54,33,18,58,6,65,95,88,13,39,84,34,26,36,84,27,41,11,48,56,94,17,43,60,69,52,53,14,64,0,1,36,58,5,81,3,9,78,17,40,3,20,84,17,62,69,7,23,82,93,15,15,6,44,41,58,96,99,31,14,63,78,77,66,25,2,27,27,30,21,29,54,73,22,27,98,70,22,26,78,11,83,11,80,63,89,21,75,42,3,90,30,22,50,8,60,20,79,61,71,1,79,45,59,80,39,62,89,87,95,78,23,47,27,25,91,58,52,61,83,75,52,35,27,36,28,45,36,73,56,89,1,83,38,94,73,25,29,9,19,91,1,39,11,50,8,35,92,49,63,75,79,53,93,55,44,4,55,9,27,64,24,72,56,89,65,26,41,29,49,77,54,18,54,44,50,73,30,1,55,94,2,91,23,62,16,75,83,87,56,61,49,45,80,78,54,90,6,43,73,72,44,60,2,15,52,20,60,64,29,24,0,69,19,97,93,18,73,44,59,12,78,81,64,45,99,34,86,58,7,60,26,54,99,55,3,90,60,74,36,3,82,19,94,9,49,16,22,71,47,93,85,73,7,60,29,58,99,25,93,55,30,31,28,88,6,61,1,58,15,78,36,24,30,45,0,1,57,80,70,9,30,25,85,83,97,51,34,60,79,36,20,69,57,24,40,95,21,46,30,79,45,61,1,47,31,84,41,38,22,97,30,71,93,23,57,66,49,59,10,24,22,15,4,20,68,61,10,97,10,20,76,25,60,32,87,30,77,19,51,48,93,78,54,65,3,70,36,50,78,86,69,8,14,1,52,41,28,42,80,72,14,46,8,73,57,48,96,88,76,51,22,27,60,96,67,0,85,8,57,73,61,40,18,34,57,36,76,66,3,45,35,55,38,80,74,24,5,50,72,43,80,29,99,62,77,45,95,54,64,82,25,94,97,45,20,98,43,13,10,53,81,93,14,1,82,1,82,64,13,64,20,46,83,39,10,97,12,39,99,6,41,86,92,69,5,89,92,8,88,15,20,62,88,1,9,85,9,99,19,85,82,27,35,25,98,48,53,1,28,51,52,61,43,0,40,82,41,23,91,63,80,95,96,27,30,69,41,48,72,5,21,10,77,57,15,73}

{684450161,738023913,87472665,93066069,877988715,1050027545,104834907,488743,2450287,25908053,132709983,679649804,400964334,553159,581250791,8300,9094,72566,444824,579427244,15734340,2305089,69687191,536651777,91345764,3622473,28541924,302411,24434,112119726,742462984,58862081,848525271,25977443,994,27938997,877514074,69742672,931885687,60252,31035,91090969,53595,1003906300,3462311,143822,91374797,56267959,27652064,98266466,34083,1160693,307102,9866,744033111,27613806,837850422,7348,27910492,101650930,66977,71848,57968784,15734340,98130918,101628587,902138,871561,90864350,458227,467357,98146566,738055279,866107,93101474,2367890,54487524,477948,98121227,8856789,87904384,878097197,6981,8844320,420481130,303525,744110280,44256130,681954638,158766357,255558,751407429,933174353,68449108,13403,575972281,856707,66506883,132737212,8478,91645089,930723381,18266658,2159100,531851420,70086071,585241,36754,76470044,792,603769838,24491001,13907578,70086590,930723306,98386410,724126,15324040,86781998,85852445,91389461,1236708415,495108437,58862897,8839689,81855456,743612943,536714445,7148662,930723222,579433350,738033919,27211767,432037173,2149343,1266610017,4641461,536715145,7266616,561277,234,98168438,108564,1017504741,2187144,53816889,57122,28541280,874517662,69677926,2336853,1786,6323599,269,921298390,561363236,313470,1491992,87472657,74763079,144679,1349782,478038,58518975,130931584,270228367,33854204,653413221,2420067,37981,849630,7526,61633,101671962,179846831,747494056,428952107,87131069,70086325,2187146,2466736,2186328,58717403,634845989,97758552,86781519,56268000,3579687,9691,72570,396977784,45012294,28517279,930698947,56230182,24303,40489,62795,47546264,2367229,59183,2367365,72572,40549130,86894636,960,779966451,40813,24454,933295735,744043312,56411795,1995275,874402763,155685475,21549,7252,8132625,101382206,744078514,74627578,87319526,1408518,572649,8,74951536,44117249,6823,26660,579313210,684518889,27894644,124057,144679,4608581,93066616,0,273767,1453149810,1627791,27229,299846531,27671753,580548025,45813765,181,536715306,684459441,1786,20925,0,18265168,743787423,72865823,78185067,58862899,744162489,1439,164,27473426,873633,597914,72865823,15867971,33194,101673,7121894,98200658,86722517,929394025,57597255,85441981,409391,419257,254866,54183729,53515,15902342,98214257,25977443,767300114,789193,26980725,60242,33220,16292010,77755342,416923812,7290334,35846,666727489,56267168,132718212,59879,8478,20931,15972,70079084,58852893,88776301,738012988,10801272,744026785,925859652,144971,930714917,679767588,4863959,878090388,93041627,767312496,574826175,929833424,7262466,444824,18289584,17991092,78184809,767300114,683653586,37809,76020830,457252665,70052424,3462305,579424720,1257751,31037,933294205,914822338,457211388,7259104,550294292,62801,7932728,582483,960,121134,47546264,444824,101659622,4608321,767344475,2535,297874,121376,167676437,746493521,933287257,8829965,2366648,681954463,37809,818,20947,3558782,57928540,679767588,933271287,411915,92817759,783023479,67785,19352588,114270069,92267334,1156844,15715025,1394,118654,8516,117450,27874885,60465,3462305,102085804,74626761,579425898,74674338,5161817,78184898,3572726,98220226,8478,930724182,846972,744046535,298662783,536706675,7770,856964,1321025,933187075,37948,73140035,135490,4572386,87539408,265108674,70085778,791315669,878097104,14571687,100028704,684581302,294586,27910492,31051,14877918,681954209,1979215,347392795,58384855,3167739,586626,536563036,10998632,1994782,294572,265098983,10343135,686141065,457232319,27665647,367850,321812,59278807,92694355,235383,17044363,58568327,58828727,786169769,58862810,87472671,868705085,416923812,56287232,457252665,7270844,26660,56267979,263068,2308701,15710983,812,31051,887046,878095845,674770039,31116,83329815,265080634,2358018,248,457232293,27932,2149343,45535329,78220913,128047,60273,93066791,78188934,101365052,8386093,74469209,561277,28166,2535,73482753,2187140,125553334,3543680,1613040,930719302,823478,41825870,457223241,267278,93069495,8389,179846831,85944599,132670244,2289499,7876,724126,24742,2015852,681947386,61984,479205841,878087503,734571608,1387952202,102322474,2178668,847106,7348}

Returns: {41115, 98187589, 428902, 1758246, 98130887, 39, 924865192, 8430531, 133569, 285682, 814238042, 63859245, 59192, 5, 120688, 698, 3515633, 64076, 7, 60263, 457230558, 1751, 250, 19571, 14918, 19258, 3103, 684516608, 57949466, 7, 45, 9829, 9, 5, 91365771, 842, 244, 744042707, 110, 34, 9, 9, 738027972, 5803, 3462139, 172, 26, 115, 6882991, 63203601, 3157, 580146, 4, 178, 24247, 453801, 6248892, 935803, 3, 15, 8756, 24468, 1462, 5527, 40, 212, 22652, 86010, 579345228, 89364, 73139953, 92, 278, 968, 68, 72, 4608409, 12, 56267949, 38, 7805, 2209, 5697, 1659, 71, 767308523, 1997719, 370173, 549, 87472126, 198, 345, 9391857, 449, 6, 255558, 1670, 61135, 37803, 4, 222, 51, 36026, 11, 1, 24447, 26160547, 1512450, 716, 93066173, 56219, 89277, 208, 28541305, 11, 8471, 72, 27903044, 102, 1409950, 817, 24, 14, 930723379, 20, 34, 15715017, 10, 58200950, 661949, 2451068, 46, 15, 866110, 74619275, 8309, 5, 1529, 20926, 7, 74274, 8789863, 18265156, 22, 921, 15901948, 10, 6, 259717979, 5390649, 3, 17, 95343, 761555, 101657938, 1688, 8, 18, 63937151, 68800868, 67785, 6, 1729, 342237, 294572, 2, 415497680, 79611030, 24373, 48203, 1, 78184897, 103, 721, 38201, 45557394, 27674, 376, 493969872, 187984844, 1004890, 632594, 86781542, 170, 31039, 14, 298694, 24650, 11, 536715136, 182, 1995109, 7956, 742, 7266561, 59, 9668, 31, 7512, 6 }
{689458,54818,79725,1,6422,575472824,36660133,1,861787632,235101,93960312,47334861,97532,94738,70540036,9794955,57687,65067,8794799,3737,377380527,831818,40611144,18234547,3322355,658986,5288186,87888071,69,233,68,1,679627097,12996,14856,27058,371,594135206,86001,5678569,24166,57059192,85115184,279661,2837,1735,14,1,1,810204689,78560459,391778717,4,186262499,712781,1779,63410,3878,3474192,38528437,225,599,1,36218,13121,1272,9486235,5663,638,2350912,1,48,324998,1017904,272,22,985057748,1,2,9514,69477,77409,654291,671513814,3226,81813040,1,381313973,97785125,87,9106061,57118,162637,347629761,53719534,1,1,29424645,87389824,7149932}

{689458,54821,79784,19,6617,575472849,36660139,12,861787639,235231,93960361,47334869,97652,94753,70540060,9794961,57736,65163,8794799,4025,377380530,831855,40611167,18234904,3322665,659004,5288244,87888076,87,300,283,2,679627115,13040,14866,27337,612,594135343,86091,5678570,24200,57059449,85115224,279663,2847,1739,35,26,4,810204699,78560472,391778749,30,186262513,712782,1995,63469,3994,3474233,38528867,245,628,88,36231,13298,1298,9486256,5681,681,2351104,2,51,325180,1017935,276,22,985057752,44,16,9518,69504,77503,654538,671513860,3228,81813054,7,381313986,97785197,154,9106152,57122,162641,347629898,53719540,17,4,29424889,87390047,7149959}

{1,49,1,347070977,802092700,5329181,1,2331235,14863389,1535260,89281962,1,1,1,4067,747454999,1,14650968,8878,31999458,1,484,258,5908583,874385334,755,11077,95086986,538844568,8048573,406916481,70,331,1,31,81122407,296,9045,1,53252,1524,1841375,3,3364,1,77671270,93408,699,215119,6791583,1,3033,2362332,9211,278,60628,1734,1,49408262,22385386,62008,1,8267,1575,632968934,163138,5851649,435,1,416,31,25983,1299,52803,73524,4,56520969,62593,24114015,79,17059887,746623575,9857067,1,66570,118,408,9007,197,19,87,84720,75320378,560759140,87430611,896599,1,32541,901,914021}

{9,50,39,347070985,802092701,5329306,3,2331237,14863459,1535465,89281999,44,4,10,4067,747455006,126,14651004,8899,31999598,1,488,278,5908614,874385347,829,11085,95087028,538844580,8048584,406916494,87,333,4,68,81122424,322,9046,287,53255,1544,1841378,5,3374,40,77671274,93575,743,215121,6791648,133,3074,2362352,9218,301,60819,1968,111,49408277,22385602,62056,14,8414,1622,632968935,163198,5851786,451,2,427,37,25983,1333,52870,73527,4,56520973,62824,24114020,82,17059889,746623618,9857187,3,66570,157,515,9022,224,20,94,84722,75320382,560759175,87430715,896711,207,32554,978,914267}

"WBWBWBBBWBWBBWWWBBBWBBBWBWBBBWWWWBBBWBBBBWBBWWWBBBWWWBWBBWBWBBBBWBBWWBBWBWWWWWBWBBBWBBWBBBBWWBBWBBBB"

{37,51,45,56,63,3,17,71,52,25,72,3,88,81,82,83,31,33,18,73,9,26,14,56,63,51,29,44,17,18,48,94,96,61,43,51,33,5,92,63,81,3,61,11,93,60,16,76,18,80,15,21,35,25,90,16,6,19,23,41,41,47,65,88,0,43,9,50,84,86,22,96,32,46,4,24,3,32,68,70,5,23,31,27,42,2,10,54,70,86,92,77,79,79,16,7,22,73,61,25,31,26,30,67,45,49,49,0,88,54,87,29,53,4,67,80,94,18,71,76,22,53,43,25,86,55,72,65,74,45,80,11,24,87,73,51,49,39,76,1,42,83,95,62,40,27,10,60,23,6,0,96,99,39,42,93,53,82,76,72,64,17,53,82,47,64,33,16,70,93,69,95,4,67,80,77,18,61,39,82,38,38,10,22,29,36,64,21,42,57,43,37,12,91,67,35,69,73,31,11,35,97,26,5,44,72,60,17,0,59,36,87,11,88,50,22,24,57,11,20,84,43,10,53,3,77,41,89,73,84,41,48,74,46,41,96,50,77,67,65,33,30,36,52,41,54,72,65,93,27,31,99,94,81,34,86,10,37,48,75,32,16,76,58,14,84,43,76,2,65,51,58,92,29,49,68,51,98,12,40,29,70,0,78,78,79,34,16,23,88,33,11,48,87,8,42,52,82,33,93,95,82,70,55,59,80,68,47,35,18,84,13,0,6,70,58,27,38,47,73,41,69,14,7,35,74,17,35,78,72,96,89,89,60,81,68,75,92,38,1,65,1,66,36,81,28,48,29,27,91,41,96,65,53,60,67,25,91,40,3,17,99,50,0,30,84,46,9,48,41,40,53,85,79,70,16,75,88,50,92,76,13,68,38,70,59,82,64,96,68,48,12,58,33,36,85,3,59,1,5,49,27,55,28,13,64,57,77,98,39,95,92,62,17,43,95,37,87,79,92,28,4,45,66,47,78,5,21,25,93,5,49,72,42,58,89,2,96,65,51,62,82,99,7,99,93,59,59,65,70,97,75,70,13,10,87,16,94,95,24,8,59,5,89,15,74,50,59,78,2,34,42,1,24,23,51,59,3,22,86,43,69,76,50,82,96,16,6,27,73,63,92,18,78,67,60,25,13,85,72}

{6,19,29,69,20,65,71,26,55,70,14,15,12,69,21,6,43,93,50,30,31,2,1,18,35,94,99,31,41,69,43,10,49,72,36,27,72,29,48,96,48,0,75,81,78,42,20,35,65,95,75,15,3,93,42,1,17,13,40,93,32,68,53,75,61,63,49,90,24,27,59,89,19,15,13,54,27,16,54,21,99,96,64,45,50,72,18,28,64,44,98,69,1,0,50,80,82,91,41,21,19,39,11,45,29,70,89,58,29,15,81,69,25,92,30,92,37,78,54,36,31,80,63,15,31,64,57,77,96,30,54,39,75,89,49,31,5,93,68,0,85,5,78,95,84,25,73,14,36,38,46,27,79,45,60,42,52,55,31,43,59,94,12,5,16,7,12,97,54,76,86,70,94,76,32,80,76,86,3,65,31,92,71,84,85,80,79,53,91,39,14,77,1,37,13,64,20,70,28,21,16,66,58,97,24,88,5,55,75,18,23,20,98,40,36,29,62,52,47,10,75,23,81,4,9,48,1,26,93,93,66,41,22,93,66,5,14,44,59,1,22,54,44,34,87,36,47,59,93,71,83,78,93,78,88,58,13,31,18,49,52,70,61,97,18,12,93,45,23,4,25,57,37,47,80,88,39,56,74,39,37,91,28,48,4,24,16,5,74,54,73,49,94,80,84,46,62,23,93,66,6,22,1,32,38,48,16,3,12,29,93,18,51,40,51,28,99,15,86,23,99,44,92,59,32,91,8,83,50,87,70,19,78,98,22,11,85,24,19,9,28,84,16,39,72,0,10,79,95,9,93,20,79,4,20,21,81,8,86,75,39,25,66,17,3,63,19,81,96,9,26,47,0,24,87,73,77,11,78,75,42,92,47,29,39,79,2,52,63,66,47,73,6,56,39,45,92,79,76,75,66,3,34,12,60,18,95,87,99,99,16,53,53,22,81,82,30,10,67,13,12,17,31,90,47,90,14,11,75,33,80,46,40,23,29,65,30,2,28,89,18,34,68,76,96,38,40,82,25,24,2,20,63,0,42,50,24,21,96,70,39,2,59,13,54,84,95,43,12,44,76,25,78,93,66,6,62,51,42,89,91,92,69,64,50,46,4,85,64,15,78,21,99,84,23,56,86,47,71,68}

{557484132,423771165,69624196,2288981,377345918,346909064,14690015,5303065,2303485,659767,70217819,410178962,97687825,748896594,10033971,634853696,282948,908375996,69774545,407881522,1770325,5219475,70489257,8738299,81129944,425486823,14284263,2893,69803754,6452333,491404,42092075,816996334,325707,282295,398974606,313266,578192000,75267893,37847,746485942,347760419,582,793880924,884275007,85176989,377322803,1009632112,8947820,16232755,757249935,756417658,265975628,907729235,76009249,2955,51246025,32090246,24117798,849488424,624408902,1386,186415184,97785355,688860,245182,815225928,69454497,877637933,182974587,24467794,100,711622283,757156369,802181003,876994667,339872006,679569686,712393,832269,572738038,24143487,632982145,105302093,6554756,246486,174438647,539556995,632982197,3310,162546617,2413063,45337,680023,78502742,14798131,49813512,992697,58900014,173139,32003478,432527,454251250,77674780,69624197,816996306,816996234,52193035,105833331,756536899,1127851054,10398839,185611914,726928533,406921668,58353651,627837352,32899921,738434,1041577983,40611327,203243692,245183,756590159,425,632919824,322381,101871,73794,329246888,17702910,41709511,877707704,381322892,815925630,391781709,236194304,902657214,1041578053,634686,3302293,101370175,23217420,888423,85987,182315297,182171612,70597763,24142754,36574346,783004,182975092,8054404,83294852,85176988,823273810,188615622,10449292,1041578635,47408,649098720,126434201,186174159,579346292,58445,630650996,84517,29399531,713028,1141666019,2350999,896578,768375097,1041572608,696617174,17066743,1032775046,1104,352696279,10347207,86276,75396655,183216291,40674218,89861269,17128627,632972637,185439413,85142815,5727898,70261091,594188745,42779,594153776,89487,551860304,375030032,1070678,538844558,46503492,81153061,25757589,51211165,551344762,877704861,97461292,580739791,14653641,689439,52110179,24142754,3942470,40055862,97762345,78560325,48659219,877699368,2366220,47335544,372702129,69772,23860459,751224498,988339558,345770753,152549,58845745,5299191,907318326,908319240,51583279,58685489,40684128,908295445,51583279,580802030,8024475,65374,60907743,216670,40598375,407628927,2664,2377139,326087092,712361,325586,60749362,1,182949066,671513916,30349919,767238789,722587036,97770459,52881984,183147575,594144181,9001038,816996316,681989103,57758,1041578122,75326204,61750072,160893,908106002,1006206312,24063672,801934635,391121995,52878569,669283918,8048090,820403456,97784712,386150334,87327362,170802,5706127,602174522,141807,539533949,23898907,777985100,877698133,42922,580744292,24069695,97072485,1057671,769661429,140935125,398295363,876581259,85208766,2354149,21528913,908375996,893051152,37556746,49813513,54834,679685617,60827494,16914242,57076,347070278,81192885,16834266,908319240,8708927,391092337,36637492,391781762,492910463,174911101,757163598,216,23072782,50836616,2348478,145693733,58582619,760722102,68043,861935007,752609165,102674465,380996693,28,32003460,24114066,87450648,787156974,47334244,81813158,802224711,32081306,1715545,538682594,118114,15280140,5731084,746869794,539533949,183027199,8057779,182078487,1628571,849488423,377380533,171333,988339558,377442298,826190,747204294,876509215,25186,347070981,20211204,7404197,74925881,15275346,59845563,97953,31909975,745245888,215119,57130202,5273600,186270995,81123723,877698133,381322964,1012968,62599,50450468,102674466,75482992,956463495,75388268,1385,8134134,5731789,60904260,10431879,630619884,37847,15337215,214404,973155,82594166,52338,5731083,159482462,271913224,60904260,1041523853,580802012,801658456,339872006,73654,538942042,156501,641741559,900494,381367524,81152959,2332177,954336,261411025,186263354,55196765,746822387,9615089,1001042601,376626557,4191,75388268,538942043,787500384,77672919,6231729,0,33219968,510257911,46503493,659776,908375996,587134063,816902750,301052,72788942,44833685,164388,406996169,79815,538682595,391781689,8795317,10496779,8063330,1039247485,8063993,908302675,60888159,50402156,820093,877707695,29377454,377380509,37819,594726,98127097,302762528,877649985,140317947,896606,877707695,870919234,60834035,554000574,94664,756536898,9910,79457076,60630822,24211548,76954,1041563799,84457024,24168770,657933707,8805610,355121659,60905495,738846611,44504343,571,303885,77508236,1039227378,711516105,87763103,93586,802143998,45153047,625756682,756179248,24148608,75989073,2550003,24050656,24137380,123287,659290,95449,81838858,325638}

Returns: {689458, 6, 54820, 49, 79783, 39, 18, 347070977, 6430, 802092700, 575472832, 5329195, 36660134, 3, 12, 2331237, 861787632, 14863422, 235101, 1535312, 93960360, 89281962, 47334869, 44, 97553, 4, 94740, 10, 70540055, 4067, 9794955, 747454999, 57736, 11, 65080, 14650969, 8794799, 8878, 3990, 31999470, 377380528, 1, 831819, 486, 40611145, 270, 18234859, 5908583, 3322385, 874385334, 658998, 804, 5288212, 11085, 87888071, 95087026, 77, 538844568, 237, 8048573, 77, 406916481, 2, 86, 679627097, 333, 13040, 3, 14866, 63, 27075, 81122408, 495, 309, 594135221, 9046, 86078, 285, 5678569, 53254, 24170, 1527, 57059238, 1841376, 85115222, 5, 279661, 3374, 2846, 40, 1736, 77671270, 35, 93557, 4, 717, 4, 215121, 810204689, 6791642, 78560472, 10, 391778717, 3071, 27, 2362335, 186262499, 9214, 712781, 281, 1893, 60730, 63452, 1929, 3931, 99, 3474227, 49408262, 38528468, 22385386, 245, 62008, 601, 6, 88, 8413, 36231, 1622, 13298, 632968934, 1298, 163197, 9486236, 5851649, 5681, 435, 674, 2, 2350922, 427, 2, 35, 51, 25983, 324999, 1304, 1017905, 52807, 276, 73526, 22, 4, 985057748, 56520972, 28, 62596, 16, 24114015, 9516, 82, 69480, 17059887, 77488, 746623575, 654531, 9857168, 671513815, 3, 3227, 66570, 81813053, 128, 7, 505, 381313973, 9022, 97785146, 201, 87, 20, 9106063, 94, 57122, 84720, 162638, 75320378, 347629897, 560759140, 53719536, 87430713, 6, 896608, 4, 9, 29424719, 32554, 87389824, 951, 7149959, 914040 }
{575023015,58229,1496,24,99323282,76478,1,5764,7868205,1,1459674,74277,1,3,921028617,99721941,1,1,672180,4009,922575,91479,82194093,9285410,1,4501,90893,1,3,4622,5415,1,54092161,40877,53918706,8142,309791,1820739,401,3720,80295298,1,1,32705,8,1,1,165361,1,8,487,872389,1,1,94250,1,7279,8066752,57946289,926942256,120868371,1,688737945,8542092,500660588,2018,64583745,282369,1,69391039,1,534,7583,83466740,34971,20808738,1,4699630,984851,1,74,961475,5973,70014056,514,518639,59922652,61628202,87856,1,60,1,823699,469,1526,6,93982,49183,1,21}

{575023020,58262,1563,94,99323448,76760,4,5810,7868261,1,1459708,74293,9,4,921028619,99721959,17,1,672197,4159,922585,91480,82194132,9285412,64,4505,90918,271,4,4664,5420,17,54092406,41227,53918903,8171,310052,1820819,428,4190,80295465,10,1,32942,9,1,201,165475,109,14,502,872396,1,209,94251,326,7282,8066795,57946331,926942340,120868375,7,688737948,8542096,500660792,2159,64583745,282369,75,69391138,56,547,7587,83466745,34972,20808953,1,4699686,984852,53,74,961493,5975,70014060,549,518639,59922816,61628272,88090,122,68,1,824053,538,1663,143,93985,49241,11,21}

{78470,61348,1,1,1,87501,313311427,228,60217,3730,270293511,1,49233,6,729,36224095,515,7,756,903,1,614587,34459331,1,35,1192428,378750994,1,285825057,1,103090,6982689,421,1,997022,1,3849,61061893,25,9177,18,680992,1,20,62210,55179,1,854684,18055368,864,72,32242,835,5971330,53854,219415018,66,1,596373562,2671,53103280,869623955,68298,5102069,5459999,1,49007915,4107,5,651376085,62967432,3396253,1,2567095,7,8974,9,3,1,54321,811,1,1,8532232,8405434,64698505,609,1,45422,1776,1,1,9249385,3126129,782,512699,2667139,15846903,65314045,779026}

{78568,61437,29,3,65,87726,313311429,231,60366,3741,270293526,10,49242,196,1068,36224132,519,8,873,904,32,614589,34459333,20,49,1192439,378750996,13,285825059,18,103090,6983076,438,11,997026,93,3865,61061912,75,9192,18,681024,74,139,62253,55194,292,854913,18055375,868,99,32584,837,5971354,53872,219415030,115,1,596373601,2711,53103493,869624076,68470,5102070,5460022,14,49008206,4216,46,651376211,62967830,3396392,209,2567144,344,8999,36,3,237,54328,872,1,141,8532350,8405437,64698580,617,1,45442,1812,4,1,9249391,3126148,783,512714,2667158,15847279,65314155,779076}

"BWWBBWWWWBBWBBWWWWWBWWWBWBWBBBWWBWBBBWWWWWWBBWWBWWBBWBBWWBBBWBBWWWWWWWWBBWBWBBWBBWWWBBBWWBWWWWBBWWWW"

{51,83,31,37,84,42,44,33,15,6,50,30,36,8,57,3,1,99,59,35,11,94,19,46,3,41,77,73,13,75,24,17,94,6,10,30,60,71,14,84,62,80,85,35,16,43,9,54,16,86,94,51,1,63,30,80,2,57,48,8,81,24,13,42,93,25,92,43,50,88,13,34,85,12,16,12,32,25,58,94,48,20,20,78,86,52,70,36,28,44,83,28,57,89,18,97,69,48,14,58,9,84,30,74,67,78,93,35,29,86,94,98,61,20,42,33,96,92,50,72,59,2,85,75,66,39,26,49,64,77,92,45,40,21,72,35,87,9,72,74,91,75,10,51,97,28,14,62,31,46,64,1,18,45,56,48,49,33,10,54,93,93,73,82,65,48,89,71,67,91,73,91,59,58,52,48,72,75,81,88,56,61,86,61,15,72,94,77,48,19,84,59,5,60,33,10,63,29,67,60,62,50,95,84,32,44,70,6,88,2,70,69,72,77,10,29,98,62,38,7,75,23,57,12,38,9,68,43,51,60,23,0,73,47,5,28,32,3,24,89,80,97,30,59,95,47,32,73,33,17,32,31,26,73,24,88,46,63,40,91,13,65,11,2,55,74,29,42,19,18,10,33,49,51,29,54,21,57,3,92,75,85,72,67,89,38,71,76,77,84,35,91,33,91,46,47,18,2,51,1,49,16,74,88,40,92,61,77,75,50,94,77,11,88,32,9,9,44,35,91,15,14,29,1,28,86,23,8,67,55,18,41,38,99,64,93,7,25,55,83,96,27,73,32,31,15,33,87,20,1,77,43,20,16,42,24,91,83,31,10,0,84,71,81,52,65,32,27,73,84,87,34,96,14,38,34,15,23,18,28,84,38,9,51,28,9,49,7,50,23,77,53,95,26,20,86,37,25,86,74,24,92,12,83,86,22,25,26,35,89,11,98,91,40,42,77,75,62,69,26,87,67,30,51,31,77,41,41,57,50,89,95,5,45,97,77,94,66,51,47,59,66,2,11,95,59,3,99,15,15,3,41,32,63,77,79,31,92,12,15,26,9,96,87,25,60,86,99,8,39,61,4,13,97,41,33,2,50,20,43,78,73,22,9,6,36,27,72,17,87,44,52,64,41,95,1,44,41,85,14}

{8,52,25,80,10,39,49,91,31,74,67,98,54,39,92,65,98,14,91,64,54,62,70,70,78,64,64,20,54,69,51,58,53,69,68,10,59,83,83,38,62,78,43,47,30,63,58,20,29,91,76,38,31,54,43,95,70,69,50,18,64,41,57,30,20,87,30,77,16,79,84,18,70,15,57,31,74,33,59,22,34,59,98,31,83,63,33,74,21,11,42,53,93,10,76,89,15,58,96,7,42,91,49,49,74,50,6,40,21,25,27,86,66,65,40,92,88,21,50,81,50,80,7,32,75,97,10,6,74,56,14,62,62,94,63,24,61,25,56,89,37,49,81,10,17,84,6,62,18,74,45,43,7,64,72,60,0,32,6,6,11,71,82,87,24,17,80,14,28,81,87,65,56,68,94,16,42,93,24,20,41,52,67,11,66,19,81,60,99,6,45,2,31,95,31,19,77,33,4,5,74,19,25,80,85,29,26,14,57,3,5,22,93,11,9,86,21,75,45,37,86,47,59,57,23,28,5,51,1,12,70,65,71,10,13,29,40,68,8,21,6,45,18,2,17,95,49,10,77,1,38,73,8,77,9,83,43,24,85,93,71,26,86,37,76,40,77,86,79,53,51,20,49,72,6,55,34,98,3,77,15,90,13,67,79,49,40,43,17,76,94,36,2,34,31,55,21,9,71,30,26,90,0,98,92,63,64,99,79,34,75,42,19,47,45,4,88,26,62,10,52,51,95,4,40,68,60,42,5,60,71,14,11,9,80,55,20,31,18,61,91,92,19,5,75,99,58,83,34,81,88,50,34,26,0,26,77,80,15,18,62,72,76,42,10,87,77,89,49,0,25,97,19,42,92,54,6,29,77,91,43,91,65,87,65,53,87,86,42,28,37,50,76,21,36,57,42,78,95,60,47,98,11,33,72,81,76,41,53,27,31,75,73,69,7,11,55,43,22,65,82,5,85,29,10,93,53,15,61,86,96,30,45,21,37,9,49,61,71,37,9,75,32,4,58,63,41,25,72,62,31,36,26,2,85,97,1,58,70,7,21,27,54,34,81,27,51,76,18,91,53,71,66,44,66,7,14,48,17,37,16,6,39,34,95,98,87,47,60,14,59,22,6,29,78,24,12,62,76,23}

{7023987,78545450,5794780,62881713,263347248,13347,61378,41224,128963356,313346389,285940,65216372,265815,7915274,16492101,1978,65310871,921806894,926944936,506112648,73830,688803856,62970563,62967492,984805,505439776,501421116,85111300,148106,699949188,904541,654319921,5972206,407455699,271753150,271644693,859174679,75149351,859546064,8405458,0,985645,65184397,1012134,107990,13611416,654316195,882192,5141,59923428,2433,904143,6979538,13496050,130350,511907,62968950,712700366,18055794,7255646,505159310,681041,8066762,108503,4048181,62816198,9964923,4667007,939,96758,8405944,54242947,2249615,135896833,8067276,6933479,54057849,1229157,1465366863,116650992,70977250,926022352,66236623,7967563,18622859,13643326,63008643,278922,285301945,136517,78546283,279853730,11192362,271751300,672969,15894567,645482896,636264549,923601043,654313915,3729,8405952,107632,35819,251527,984428,310185825,80287204,701430,61110128,2425,125236239,885199871,920562,80295354,10032204,2627845,9367365,1,953913,926944370,2327,65211132,33292023,92773725,15883116,109826279,313310570,506085825,4692494,929453231,688751108,608510939,703624,13636569,8130,931252307,1193204,390,36683,62882655,20817062,270791707,270848563,15896461,277420132,1234339314,0,7654094,34981,506065613,86947,666966,506065612,389,155916457,575100706,54051602,44477603,313351813,3199887,270273,86027913,61622293,1995,18055373,959,924423734,286103285,961492,24405620,2023,926937569,654319877,1713,18054862,7590,23925560,961467,880144,688204,869623208,59643964,869698328,47922021,4435,960616,169272148,17276364,313314571,8350761,926943349,6971745,173459118,7023937,271748249,8944476,36599,99045030,173807353,688771321,4387,684220,8405010,118271848,66859,315874359,1234339314,8024326,1541,62956451,629719818,3133182,4625403,271749467,59918792,64790937,667988362,55547,62876643,39122238,9974733,918878176,8115992,9285035,285821327,164433,871891,843327,173922599,72252810,575099557,84295443,270732910,164475,285829679,26203344,10,7928529,704166,313310632,15841277,769054,926943349,512712,507572,54092837,349733422,4658463,119689,54092331,87882311,386467999,81334197,3759,78413009,32711,13644067,144475192,3126662,3396928,378839864,59849143,62881068,219415038,80260381,4695058,59923423,57469,6642711,270848562,881361,1,897044,313316052,219455398,54209862,73380803,1,13125026,115128132,65217075,7586,0,52605,1213,83691170,32738,4699689,8405942,7279,313899,39692,54915926,6982694,218725669,1194490,5266,4235999,94499,378841013,583,575066603,65356479,88720666,11865369,1364824816,5478690,20854282,54915360,20815496,4699687,71139,887012,54147171,99326994,129546,378779640,688798142,271753200,135945232,920187735,517326,99326436,366120377,59923378,164686405,7928621,289200,287179921,4067227,921708902,73928,775314,506119861,216289408,917023,5794779,220086392,931105867,2761122,10073411,86028934,54102949,27782670,135167023,654278703,16918022,53993342,964667,4657250,32254,53993342,378841371,575101576,378841790,4699687,78545346,128963357,271080221,113725143,8412500,3396926,961496,271752364,61626245,49393138,1882,86033010,583349370,62816198,68719961,2756171,921029342,10072935,54767812,376809274,9280795,4028302,285825060,8437598,494,5754,60788111,285827073,5967597,61629120,59917415,561,295110444,63940840,5971752,512709,378136994,616377,51856668,62882651,2172783,60434896,173936858,1020193,56888702,123517,78505063,59915835,115691940,1196929,378160861,5979485,1883,7056997,86114002,86033885,662280373,6009,4625404,240214968,688773550,629719818,378839864,61622292,289201,65108637,900003,264770487,7825286,5290316,135265043,877690802,59922862,2759224,415029,109292,650875,46986188,4703417,1734,885199871,4235999,61862365,926943322,92773724,54091239,99249095,653807211,923499564,681060,417891,135938475,625171744,6982758,987215,432752083,13642576,68879551,15842140,6979538,644246500,62918294,135940056,378136994,3728,2613541,8706386,2149425,173971817,59082042,779037,7255646,13350,863652715,102719107,113591653,15834220,112910634,35669,921027761,18055793,922584,62849908,985366,394211024,116640082,54912193,312798725,65620246,61628269,1012696,173971828,859401083,927001823,116652596,808512199,685640,1497552,119598,13012,689350605,65217135,911743918}

Returns: {575023015, 78566, 58246, 61420, 1559, 29, 48, 3, 99323282, 65, 76740, 87708, 4, 313311428, 5786, 228, 7868205, 60307, 1, 3734, 1459688, 270293511, 74283, 5, 9, 49234, 4, 7, 921028617, 729, 99721952, 36224102, 17, 519, 1, 7, 672181, 799, 4049, 904, 922575, 9, 91479, 614587, 82194093, 34459331, 9285411, 20, 63, 37, 4504, 1192431, 90894, 378750994, 7, 12, 4, 285825057, 4637, 14, 5418, 103090, 16, 6982706, 54092402, 421, 41222, 4, 53918901, 997022, 8171, 48, 310046, 3849, 1820739, 61061893, 426, 70, 4150, 9192, 80295342, 18, 7, 681021, 1, 7, 32725, 50, 9, 62240, 1, 55191, 157, 173, 165475, 854816, 12, 18055368, 13, 867, 494, 73, 872396, 32243, 1, 837, 1, 5971330, 94250, 53865, 56, 219415018, 7282, 92, 8066760, 1, 57946289, 596373562, 926942256, 2673, 120868371, 53103413, 4, 869624001, 688737945, 68354, 8542092, 5102070, 500660692, 5460010, 2022, 2, 64583745, 49007915, 282369, 4137, 55, 5, 69391039, 651376085, 56, 62967474, 547, 3396390, 7587, 8, 83466740, 2567144, 34972, 29, 20808948, 8990, 1, 36, 4699684, 3, 984851, 5, 52, 54321, 74, 871, 961491, 1, 5975, 1, 70014056, 8532232, 516, 8405437, 518639, 64698506, 59922812, 617, 61628265, 1, 87857, 45423, 108, 1793, 66, 4, 1, 1, 824043, 9249385, 532, 3126132, 1660, 783, 10, 512709, 93985, 2667139, 49241, 15847203, 11, 65314045, 21, 779027 }
{81321932,6069135,655754645,805688,77476,303,1,57,48,7069158,56078,601927127,1,632,1,55946008,1,2826,3941338,97948,844868,9013142,323148,4921395,861,71,1,96787388,8024,5514722,3796056,955179983,43457,1372,264860490,64870,7,8326395,19860851,69985834,7645560,394,618944012,34,4180,1,1,64,1,198,148,488291735,1,79637438,298037254,569,4382,17,63642,394326024,8082,381,1,85814,301024552,1,1,80306570,511,71766161,3731416,466973064,66810,2698448,26779,6271600,251331995,2198660,4,1,76081240,8653,172611159,7845793,1,22337,3979,19334,593280,45,9307901,2417,37,75032273,3614787,10,10,413412825,65450152,79974226}

{81321970,6069158,655754647,805771,77817,535,13,57,48,7069186,56084,601927236,1,828,6,55946016,34,2826,3941622,98161,844873,9013442,323170,4921433,868,80,2,96787391,8027,5514975,3796310,955180027,43509,1623,264860498,64886,8,8326405,19860855,69985861,7645618,447,618944142,98,4183,172,26,80,96,206,717,488291845,4,79637509,298037278,571,4626,498,63762,394326030,8119,785,24,85819,301024606,1,1,80306572,807,71766163,3731416,466973188,66971,2698591,26779,6271630,251332036,2198673,267,69,76081419,8993,172611204,7846026,3,22408,3990,19338,593314,94,9307956,2510,149,75032583,3614820,256,10,413413321,65450188,79974238}

{84219,54514128,64612548,49385,770991808,1,1,24,1,524027571,1084378,7409,663705,777734721,385686604,340,1,72986,5295,1641,15949575,74409182,1,68,1,78,19,1225774,86246,1,6416,770,2516,21812,852,726637841,7,672,612,1911,9320,61,6,9879,8860883,63,88522936,9745550,8664934,661066592,1517780,9905336,416922697,878198,938,71227669,20897,1,330738,46,38328,6052564,2583720,932929173,852,46711471,3471,1,1,80466,51122,771973687,1,236084,4388,769942791,764399,261096,47,6231,6969228,808342,369187455,647,596710,1,1230519,943598,11,5253,1,2071,532844492,155951,1,199,77690878,1,8756906,877}

{84273,54514150,64612580,49684,770992007,1,6,305,24,524027577,1084389,7678,663709,777735052,385686934,342,14,72987,5343,1658,15949623,74409198,4,187,17,254,164,1225819,86337,1,6651,853,2520,21812,864,726638080,7,786,650,1912,9372,77,38,9898,8860884,68,88522947,9745554,8664994,661066643,1517780,9905448,416922789,878200,944,71227986,20924,15,330780,49,38343,6052564,2583725,932929385,859,46711472,3551,5,32,80747,51164,771973729,32,236379,4391,769943064,764401,261413,60,6274,6969229,808362,369187509,666,596741,39,1230693,943795,33,5257,5,2099,532844764,156384,1,251,77690896,3,8757105,932}

"WBWBBBWBWWWWWWBBWWBWBBWWBWBWBWWBWBWBBBWBWWBBWBBBBWWBWWWBBWWWWWBWWBWWWWWWWWWBWWWBBBBBBBWBBBWBBBBWWWWB"

{3,19,99,85,86,25,96,15,44,72,65,87,50,14,96,85,65,52,50,1,11,30,50,23,21,73,1,83,70,84,4,83,12,81,5,95,26,39,61,32,78,78,77,66,16,9,39,69,48,15,97,30,88,47,76,94,9,62,0,38,96,82,59,39,90,73,82,51,55,86,3,4,27,5,39,79,65,16,51,71,86,51,88,99,4,47,46,67,81,94,23,0,9,58,27,16,12,9,76,63,10,60,44,86,84,25,31,30,33,40,78,40,71,43,23,99,95,50,6,12,33,47,77,62,85,15,28,25,5,39,72,25,6,91,82,88,41,59,15,62,62,94,54,1,30,93,31,89,19,69,23,33,59,80,11,72,80,1,24,95,71,37,65,29,86,0,4,51,30,67,86,80,52,95,26,75,77,70,57,61,27,63,6,32,19,20,23,8,97,80,30,67,71,10,66,94,55,35,20,45,80,83,7,16,27,66,90,32,18,30,98,50,75,57,41,88,95,16,97,82,45,72,0,34,63,89,17,93,35,87,31,21,45,82,84,13,80,17,61,67,34,43,61,9,21,36,44,47,63,27,9,83,13,90,3,64,15,9,26,51,61,77,64,25,63,74,35,60,88,26,0,85,69,52,83,69,69,7,86,30,77,19,35,74,47,76,81,93,24,80,86,77,61,62,43,56,79,0,21,50,46,54,19,61,54,77,1,51,38,83,11,58,82,13,8,56,69,38,17,82,10,54,42,85,36,89,74,92,91,53,5,29,16,50,50,4,38,34,55,59,71,86,90,15,44,12,64,18,29,47,61,50,63,83,71,84,16,70,20,39,51,95,60,81,27,64,54,22,70,3,46,41,52,82,45,61,69,97,96,95,27,46,47,81,6,38,12,20,27,28,22,42,70,97,84,91,82,48,97,95,72,54,91,88,18,75,60,9,12,19,5,58,20,8,20,72,82,4,20,25,46,40,14,56,29,86,47,40,22,98,40,19,59,1,38,27,41,78,53,82,75,24,26,97,76,40,39,57,52,25,98,66,57,92,42,97,85,51,34,9,47,87,15,84,80,66,47,33,28,75,76,50,42,82,10,70,73,77,69,83,53,37,56,20,86,91,49,6,68,83,24,61,12,18,47,52,98,79,25,59}

{31,41,95,27,49,60,61,98,54,66,53,71,53,95,48,9,72,79,68,34,97,47,76,9,4,28,54,89,97,85,48,58,3,17,51,61,28,3,88,9,67,68,51,85,44,79,34,89,57,73,35,83,49,5,57,97,77,56,41,5,40,9,74,98,15,60,46,45,74,73,82,24,53,86,78,42,31,97,23,87,90,55,22,34,61,14,73,55,85,47,22,21,44,1,58,81,87,14,92,76,90,89,23,97,15,88,6,53,68,82,92,84,18,96,23,37,47,1,58,75,60,96,23,31,76,18,63,82,97,26,97,22,17,99,72,81,25,95,79,98,55,88,72,64,56,88,13,45,17,67,3,26,43,22,40,91,8,92,72,39,54,69,37,79,11,76,86,17,49,46,19,0,36,12,8,7,88,15,6,94,11,95,83,7,80,88,94,33,42,80,6,12,11,65,17,14,67,75,31,68,59,66,66,30,2,51,58,95,23,98,89,45,23,90,48,38,37,80,32,73,61,20,45,79,17,67,32,65,8,91,29,48,85,33,38,76,77,70,63,55,94,88,46,70,25,44,32,69,30,7,67,4,79,72,88,76,35,13,2,19,65,90,12,84,25,14,24,42,87,84,63,9,58,28,27,66,37,18,39,80,56,97,17,96,63,54,9,78,58,63,23,59,94,5,35,71,50,71,91,57,77,86,72,3,5,19,92,17,12,18,84,73,25,41,25,12,66,39,90,15,80,80,26,75,23,45,86,71,41,38,45,90,25,31,10,56,13,71,78,54,76,44,34,81,93,56,41,8,58,47,0,20,27,27,39,47,39,83,13,97,22,41,10,42,41,10,99,72,2,64,47,14,26,34,43,42,3,12,35,72,51,44,67,84,94,51,18,21,63,59,22,85,45,98,83,84,56,77,18,88,54,83,75,22,73,11,4,66,99,45,53,10,77,70,74,45,8,45,94,37,82,57,58,73,31,59,66,28,38,99,63,14,38,85,84,37,1,50,30,52,41,10,44,3,47,94,72,19,20,48,83,46,91,89,42,57,75,96,61,42,48,43,83,24,96,86,99,92,30,37,71,27,61,33,66,86,25,68,77,74,77,25,80,43,49,15,27,93,40,0,85,60,55,82,46,83,2,98,47,14}

{954423215,99541,79975565,97990871,659840567,46965,71639305,18261326,306893066,70970,125470855,1237984525,80276934,385686446,69025972,531074905,46778864,416916783,1518405,313305308,188522200,13535086,252085116,526175469,705519207,2841101,346481367,7850629,409732872,619608,762405166,8112314,1419805,741778,498197098,6053474,94662,69228012,6645863,531051251,80306793,1046,495737806,26172,8865524,531090723,194876250,71841708,8665715,53483529,1139986104,4056450,661660332,9746037,252096818,409798309,528637072,2567917,81406441,19861573,85327713,320382564,394303594,13291227,46638735,2889152,453275710,498197223,71249629,3688760,540943520,771068955,17497702,1234517,69988032,618950580,1001891129,413413145,493275607,1237984342,10534606,549613511,270768,184886652,765016413,375941578,90985192,151534049,822061,13360593,4598624,146633723,522231895,60189058,97618894,817452,299478,145410202,783412527,1183411211,10336387,41335,13778619,414640046,56542986,593418,955181172,76713345,23480,534143903,532844941,8233596,1235000639,77681130,514,71648550,9745767,59065429,394811,775551572,23313,67945990,2983941,957763241,252074749,52010088,932921207,541799162,413412961,69987865,413346844,323430,75991,79973370,541731718,1393003,480,394326757,55952640,71623504,68645202,3022166,297971918,349469128,3806650,74596259,1732913208,5830,166830,8621125,4165320,23742,394336288,82727680,594283589,66544,83050801,484400450,66392,69988203,940909018,63519740,55037440,5521376,603146977,170690632,769835395,498122012,664856543,168829744,1323395,12126004,416922952,663904,136,776215028,1866965,52265627,196,9667045,506358521,933014818,7846639,46406,82951087,16201452,1307001,23908,205531385,242,3803027,80970995,906920419,45683443,72717,389301638,151534174,49512639,970284099,1169,325214323,7849143,3891,3802899,622354553,498193999,9575639,46231,985924,70404690,74201894,1518541,771293131,9308216,8666032,19268880,8327557,83051157,413372202,538864048,6053658,16727516,81406811,264866306,932939207,80312247,111685,121587805,726703075,959046,949666141,74758036,22615,541775430,20457357,1028301594,80590726,3750885,926962501,151534140,261247187,603617,82471069,527314626,83423131,8865199,8897768,81431145,936633302,98013679,597265180,778759963,777729305,9241121,262486,50456544,782519212,260776235,720367444,498098018,40659541,7370921,301687737,597122,933015305,385709174,726702484,618974590,1517534,597250,1014081772,531075068,71953254,416845027,90166888,71843741,63519489,3947146,71210472,79248402,2435170,413316743,726627549,77713383,923269797,47468759,530280293,75189448,393984,1001955867,6147914,392388697,9667508,2584643,726693021,1238921884,1512603,1157540699,83418154,1518344,90460484,299263129,33123,6808597,298038441,2360209,484400373,498121417,20524037,3909476,602517064,2729305,541798595,777735717,562,647601,71843806,50126291,9378147,485852346,81910718,228924367,618944627,776192807,4922312,5770,1249650,706102173,4398,60654290,550,3793620,159,956696551,489281,771044729,797594243,974085654,71228439,96289700,986850708,7631263,255553900,56745299,83733280,647683,301025319,3947208,5782589,318,87289855,15276706,1028405609,90166917,1168959553,9149449,69987824,4164889,762629395,343429294,497874501,1162,1094569,619744312,98012817,302052122,218063289,256683,716584679,300268202,78777720,385687470,416923372,461436505,10000,624996194,70991854,414077081,649012238,67303,400184002,79666506,90052647,220564,3615050,478336301,4600111,66628516,1028405372,394404644,302,618921922,3783090,356720278,8442235,597629,541773828,10603054,409477293,593785,297971433,290192073,776210520,270275,1474009,1365591436,771023559,531093873,80637737,100302,80515618,761748,17042699,3782542,16763519,67472,541798818,771070062,18720112,8327712,453275933,7655515,385420139,2910336,949666420,395552553,9742227,7714704,19538888,23280706,940480275,385783121,374465931,60561166,20456999,89686063,60582917,1518516,76713508,220347096,776214666,1140063,8865542,412657237,260313375,4040746,69920913,100498,401818047,8665555,66361173,88519653,5158,532840091,232,413413349,776192682,556077617,270912031,1135903102,1080709,953428,48100877,597783,146803108,1231603,89719183,532825203,3868160,771997727,986850928,97078814,624996725,541775389,1136938,4907187,2934825,2459370,69748634,7823339,78056359,8327752,83025673,16784607,659840430,55945561,756628144,75189504,7655044,73560463,21988,6021734,70564890,537852526,78777556,424768217,646160342,74201377,9745780,780012932}

Returns: {81321944, 84270, 6069146, 54514139, 655754646, 64612564, 805695, 49594, 77584, 770991841, 484, 1, 13, 5, 57, 304, 48, 24, 7069174, 524027574, 56083, 1084383, 601927152, 7544, 1, 663705, 789, 777734749, 4, 385686655, 55946009, 342, 33, 3, 2826, 72986, 3941426, 5339, 98114, 1646, 844868, 15949593, 9013295, 74409190, 323159, 3, 4921398, 184, 862, 9, 71, 123, 2, 91, 96787389, 1225793, 8024, 86291, 5514975, 1, 3796161, 6565, 955180002, 833, 43508, 2516, 1623, 21812, 264860492, 858, 64886, 726637841, 8, 7, 8326405, 786, 19860851, 633, 69985853, 1912, 7645592, 9346, 398, 74, 618944079, 8, 69, 9888, 4182, 8860884, 89, 66, 20, 88522941, 79, 9745550, 57, 8664972, 199, 661066617, 582, 1517780, 488291735, 9905448, 1, 416922743, 79637473, 878199, 298037269, 941, 571, 71227794, 4504, 20911, 207, 3, 63762, 330738, 394326025, 49, 8093, 38333, 634, 6052564, 18, 2583721, 85814, 932929204, 301024581, 855, 1, 46711472, 1, 3551, 80306570, 4, 667, 17, 71766161, 80519, 3731416, 51122, 466973096, 771973718, 66939, 27, 2698482, 236344, 26779, 4391, 6271614, 769942927, 251332013, 764399, 2198671, 261215, 141, 53, 57, 6262, 76081330, 6969229, 8823, 808352, 172611159, 369187456, 7845849, 666, 2, 596727, 22389, 20, 3990, 1230520, 19338, 943625, 593280, 33, 74, 5253, 9307928, 2, 2471, 2082, 67, 532844634, 75032367, 156168, 3614820, 1, 11, 251, 10, 77690878, 413413074, 2, 65450161, 8757005, 79974235, 904 }
{9604,76477,1,9712,968,349234853,32947182,1,2464,1,2,6510797,1,529182205,146139,253,9865253,58699459,2382779,319887,43440967,10,284026016,1,64,1,6,76935718,3124826,1,1336210,86358,984560,1,893318,608993,444562182,207,9089,2635,2670,916,1,7722,289681805,1,174042094,805085,8368,1,969137649,4055382,1,1,59966,73371659,941,3282909,1705,71680,4498,22214197,3947826,1,74637,6644647,75620,4412417,843671,9784834,551,1,9553,384956,39836792,31,826296318,1,562,266407063,1,118327,92825,7495,789970,65347,45141,11224,1,1,5,858213487,5578,387168,739222,1,84233,873642278,1,2727}

{9661,76598,1,9724,975,349234925,32947182,11,2465,22,7,6510930,1,529182227,146140,254,9865269,58699579,2382896,319958,43440977,62,284026212,33,99,3,7,76935823,3124831,1,1336263,86390,984714,9,893322,609045,444562493,278,9095,2745,2689,953,36,7725,289682121,41,174042101,805305,8466,366,969137736,4055516,18,15,59982,73371851,976,3282961,2125,71922,4507,22214227,3947844,37,74650,6644647,75623,4412423,843671,9784838,552,190,9586,385338,39836903,34,826296319,9,615,266407207,36,118468,92866,7523,790057,65349,45169,11565,2,2,152,858213530,5581,387281,739226,12,84234,873642511,65,2729}

{74014,152209,8089293,1,8989355,111936,4503,53,1,2412825,100491,4998,7,7,85263,2421,196,1,1,333,72180,4366,1,2984,390914,9144,27570244,66,210643,80,693375,217464929,99679460,1,110398540,529,1,1,93941835,3757898,865,28213,1,347,65188,12057,57003545,90728,4,48,51416814,1,1569253,247,9657,18,9070,44,4169797,58359688,548296564,307,473213,1,29531209,334,9489,1,240,8093433,5868801,1078,43182,916976151,3594,25,1,381,75,17924078,609034,48071,20541,836,510778427,1,4591,52128080,9097264,59278,626,703,1409,73580618,9440606,39512,20,814063,461,7}

{74019,152421,8089314,27,8989362,111964,4557,114,72,2412826,100492,5067,229,12,85311,2566,249,8,354,336,72213,4520,72,2996,390918,9149,27570561,67,210679,83,693401,217465126,99679490,20,110398804,804,90,103,93942087,3757903,895,28539,16,374,65206,12058,57003547,90739,24,165,51416816,4,1569365,261,9736,20,9368,88,4169798,58359878,548296566,462,473227,74,29531643,641,9558,8,300,8093444,5868803,1110,43649,916976172,3637,30,2,405,87,17924106,609052,48113,20555,885,510778825,178,4600,52128313,9097312,59279,651,959,1439,73580766,9440623,39512,34,814497,644,145}

"WBBBWBBBWWBWWBBBWWBBBBBWBWWWWWWWWWBBBWWWWWWBWWWWBWWBBWBWBWWWBWWWBBBBBBBWWWWBWBWBWBBWWBBWBWWBBBBBBWWB"

{65,92,62,64,69,57,19,16,5,0,74,78,21,61,0,26,24,64,40,67,50,48,52,32,19,34,45,1,76,76,69,44,36,15,19,9,87,70,53,23,96,13,12,29,83,38,48,20,54,43,24,93,87,99,71,7,95,32,82,83,5,22,30,20,70,28,92,69,37,56,83,92,71,19,64,96,27,50,16,59,55,91,66,16,59,33,60,40,70,43,13,0,32,42,46,71,98,37,29,0,61,85,88,69,93,7,44,28,91,99,41,50,63,70,45,56,11,31,67,33,36,51,87,68,70,76,19,32,33,69,25,30,37,3,56,49,13,12,46,18,47,39,34,75,14,78,51,66,40,23,47,1,43,82,17,67,19,61,26,36,47,17,7,12,15,74,66,91,12,4,18,21,79,10,10,71,11,16,60,32,76,16,27,23,44,52,0,47,90,18,85,13,3,22,20,98,55,13,40,40,26,40,64,58,60,97,10,69,79,8,84,38,27,2,1,59,72,37,20,52,89,74,11,37,57,64,81,17,9,80,53,69,22,77,65,88,53,61,75,47,69,29,1,85,13,24,48,64,34,38,50,22,4,62,73,89,80,62,31,97,0,68,32,84,11,81,16,64,88,13,99,24,8,26,44,61,29,32,84,72,28,24,22,73,10,3,67,79,93,88,81,41,6,39,33,16,80,62,71,30,88,86,14,77,26,8,57,53,84,70,7,44,7,94,91,82,97,12,95,80,74,86,76,12,92,48,35,68,4,80,21,64,78,85,27,39,1,3,45,15,87,68,70,11,15,28,27,31,20,84,97,63,95,67,55,24,18,85,0,99,87,12,62,28,57,76,77,98,46,96,8,58,69,19,95,87,75,55,29,47,54,17,22,56,72,93,91,87,34,40,4,31,58,56,84,66,51,60,30,72,6,36,92,39,24,93,89,22,62,2,94,57,78,37,67,18,42,73,72,76,95,43,78,64,56,28,81,8,23,33,55,56,59,60,33,34,28,16,21,32,5,65,1,75,67,77,75,38,84,26,58,91,72,47,63,32,63,76,65,9,60,62,36,72,44,9,75,44,38,7,4,64,42,33,93,13,41,55,81,99,38,95,75,36,66,35,8,74,70,75,86,35,96,80,45,92,42,26,88,92}

{79,8,95,97,50,28,0,93,51,38,13,90,86,31,56,28,16,87,13,82,62,29,83,46,79,1,63,18,23,66,31,17,64,44,9,3,62,44,27,23,67,40,82,0,71,7,68,4,50,24,13,43,76,8,16,9,4,0,58,20,29,29,93,7,93,1,89,16,69,47,72,33,39,61,74,63,18,14,27,49,29,62,40,65,43,35,27,57,82,91,74,15,87,0,61,56,7,84,53,5,33,14,47,68,1,30,17,96,4,79,87,31,72,32,61,98,86,16,27,66,63,64,75,48,35,79,82,22,43,24,4,84,17,22,5,18,29,59,1,24,19,42,8,6,30,20,77,4,2,26,82,7,76,40,79,20,18,42,53,64,59,19,41,55,87,81,23,66,82,42,6,25,45,63,95,83,56,14,17,29,21,33,77,96,76,45,20,55,75,81,23,9,10,36,11,38,61,44,64,76,93,91,95,5,94,19,11,38,11,11,46,90,17,55,68,99,5,21,42,63,83,72,81,52,94,12,43,81,82,8,67,83,24,74,40,18,23,11,44,61,74,29,15,5,45,3,49,2,39,78,34,5,67,54,94,35,39,95,13,70,7,90,64,4,92,16,72,54,0,72,22,53,28,39,19,99,31,51,48,49,10,91,78,80,20,78,77,49,27,50,34,13,82,41,8,98,69,25,10,42,91,38,5,66,13,15,12,73,75,67,99,74,36,74,60,60,97,19,93,4,96,35,61,50,55,34,49,92,28,70,85,98,66,47,29,64,90,36,98,28,96,97,90,55,60,15,74,41,44,31,87,63,89,55,62,82,45,63,91,88,75,36,61,69,53,78,28,69,96,13,99,66,81,78,1,42,54,54,25,15,25,53,22,12,67,95,67,30,57,56,45,10,11,56,6,31,63,37,52,83,65,22,70,21,92,1,32,47,9,54,51,53,82,17,30,22,34,54,25,12,88,85,14,39,26,29,18,2,76,53,36,46,7,19,23,38,48,7,80,83,59,50,25,55,97,83,83,98,20,60,78,28,64,40,20,86,63,25,64,87,86,45,34,37,51,62,2,0,58,38,82,38,41,36,7,27,29,73,47,35,48,66,43,4,7,87,15,0,56,74,8,29,47,87,16,84,59,22,39,69}

{277686239,4532,4381540,902284385,1002676193,368704,384025,83058564,345291439,93868340,489348930,1114,45264,239592445,73433,30484602,10255909,22660180,529180420,4340105,1016133422,8537,1576010,215733333,284011000,111063115,12078,2458487,826299298,826230198,219070007,231047435,474018720,289744333,2732447,2422537,55591361,295484880,76936021,9,4328218,529180417,113414,83561,7749,93950872,835452,52357163,1020484821,398225,529573041,73959888,878413075,280,9866153,2412786,8950822,100580572,4240061,43504845,349346752,284026221,73836338,43513110,68098603,3106495,63454,8173675,17877907,885823,44887,6984,3759450,21894291,69289840,84237,74553095,1020323024,67070697,58431346,73371735,854738183,81557,3220823,58423323,609820,625227826,3281076,5940561,858206129,489348930,80959,48524330,83634,208831070,9123,637,511568028,184,349263202,22214579,166028,9811847,17034368,73738940,2029564,231047436,3251250,867201176,284328552,52110694,1135099453,53193,94794849,22225882,9514,6466130,227243676,72523468,85111,444562231,33511966,52139820,835451,6476471,577813192,247317,382720918,8063,17487300,8981179,510631294,58699374,284016540,349336625,2383051,529182288,58431387,230816635,2773516,575744,3760539,111289657,32951677,1798180,43512540,4055772,9054525,8091080,27567474,782627,228951,826288952,109851,225631718,39100748,2063050,22214583,27570198,474018723,59002591,58379943,29128,73371676,52137201,39762905,82117,858146665,113407,8990324,30568653,4694,284319221,100519,60990,7751,6514076,9804235,606991625,100664116,826300781,9865466,76936145,87188,536679694,1557307,43433168,72657075,628,2312300,68264,531595024,110198,160536015,36997314,93950233,51157822,239565582,29602291,826294547,46397501,858211005,29566345,353290658,539590676,874136451,6606237,95624135,277815434,6513400,627027012,93950302,18236325,81460947,919252,58428657,349293617,4645,43513169,1569375,65936,39867338,6435379,1569534,11984246,29605850,158491,58629196,2485136,611516,4412673,17869945,284416984,39840152,6642467,11479930,2739,15708082,289746947,21499259,38141879,8,226340,349281413,529194249,400558,8499,21516558,107531594,93950293,1027226321,65320554,13400810,4351405,907889800,667498,3151495,4381539,746560817,878696067,83579,844053,71058352,502578074,6508874,9794698,9899128,29536209,9032870,529216267,284023545,390731,3333045,23815183,289426713,22211851,217551247,102750170,511559934,53171,3235007,858603634,284025652,916752069,43469250,9217,4412800,284331244,150129261,1011457203,111125570,529209479,32870327,3731356,2466,9865651,17269235,4411907,99407,2029629,867310052,93973302,349115384,84739,556752650,4639,3282966,917360854,511568343,10280670,2766,249906479,444562196,48534667,1406504854,548364383,6,320294,73928441,8381280,39756277,567665,804082496,1020554458,73367476,111283663,609769,839268,11902543,5260304,69743,29605155,84480,830616,76935845,25845313,228380,444552519,11462,3332829,52200955,873612837,5868718,66865909,548298394,3332836,37102490,217522144,246247862,294017072,924944563,3,19769,68959259,69897045,463152,2394715,65399,858277193,9099985,52139821,444562251,18739228,14542778,3283113,826295835,3335126,17877581,230961379,529098001,277,4233884,17711722,319657,189506,52139868,69595,73321331,9068,893363,60497,58699827,9,10210,4446479,73928444,853801768,52759584,112788334,10113,8978263,217450831,10673496,1,542931088,217466225,4055367,548300699,2212179,44893,26306693,160536010,5872427,3756066,395018,73738940,100604922,283311567,5887429,8139617,12756782,3283111,112773,58699379,3769589,281643475,111292123,917291465,44077,826296329,9057752,57909,230812,25845313,27562121,3335424,2312300,8091768,826299298,273,371190583,231035433,58431325,548611691,2996,17341194,3327045,9865414,604591,100655873,407410924,1013909415,219863,73371646,870044321,7952,8279,93950237,553357232,520730615,4171206,855298641,29552632,892478,43513144,100614473,1,826305470,36100823,49727053,548332622,4408987,554067635,52855,285691612,5887433,8089299,289681029,89779093,93950869,9060708,64476180,29190,444562254,73967895,452246446,29113,989962834,729477,607091,93942466,105638,8016,453550538,85057,52724968,4640,39897670,5859926,39840480,47269,609735,811778,51530827,9877114,511561411,58431392,311596588,5342006,17871290}

Returns: {9610, 74016, 76598, 152411, 1, 8089296, 9724, 27, 971, 8989355, 349234853, 111964, 32947182, 4555, 11, 94, 2464, 30, 21, 2412825, 7, 100492, 6510801, 5063, 1, 13, 529182205, 12, 146140, 85301, 254, 2459, 9865268, 216, 58699556, 8, 2382870, 217, 319952, 335, 43440967, 72206, 60, 4513, 284026191, 72, 21, 2985, 79, 390914, 3, 9149, 7, 27570441, 76935814, 66, 3124826, 210678, 1, 83, 1336210, 693376, 86390, 217464936, 984714, 99679460, 9, 19, 893321, 110398670, 608993, 788, 444562182, 81, 278, 102, 9093, 93941835, 2643, 3757903, 2675, 895, 953, 28239, 36, 16, 7722, 355, 289681810, 65188, 41, 12057, 174042094, 57003546, 805295, 90729, 8465, 24, 210, 86, 969137650, 51416814, 4055383, 4, 6, 1569309, 11, 257, 59981, 9668, 73371660, 20, 949, 9272, 3282909, 65, 2041, 4169797, 71700, 58359690, 4499, 548296564, 22214199, 379, 3947831, 473213, 36, 4, 74645, 29531210, 6644647, 418, 75621, 9502, 4412417, 8, 843671, 266, 9784834, 8093443, 552, 5868801, 32, 1110, 9584, 43642, 384962, 916976152, 39836892, 3628, 32, 29, 826296318, 2, 9, 394, 615, 87, 266407203, 17924078, 36, 609052, 118468, 48087, 92853, 20548, 7498, 842, 789971, 510778427, 65348, 89, 45141, 4600, 11565, 52128279, 1, 9097264, 2, 59278, 60, 626, 858213487, 706, 5581, 1410, 387168, 73580619, 739222, 9440617, 1, 39512, 84233, 34, 873642278, 814460, 64, 644, 2727, 44 }
{7,88551790,1,9915,3,1,2735,5428973,70,804664,746776,1,372751599,1,893314288,173019,489,346664580,43419136,1,1,36723,56932,477713,8827759,5,19135,475,1,61110,625,660,3623362,397801,2153,132093231,3475301,83,1,4118063,89520,93086016,1,1,37819,7750,38749981,437032457,43027423,1,95869,7749,2522,215,519817,167,1,354,2,1174019,181790207,16797,4766,1,5825179,478401,1,76601354,1,94499,90,289669,29877944,1,46617409,69,1,200383,1,1,510931687,666,6722,24337715,672,1156909,99165222,1,3285,576614,7869,83,1,1,717698185,4003,12,58,7897,938843}

{104,88551793,24,9921,90,5,2753,5428980,85,804692,746860,3,372751908,95,893314294,173067,653,346664587,43419153,18,5,36769,57098,477713,8827761,5,19145,478,3,61129,691,688,3623363,397952,2166,132093234,3475426,86,148,4118066,89569,93086031,67,172,37833,7754,38749981,437032472,43027440,2,95872,7931,2947,337,519818,606,6,495,3,1174233,181790250,16968,5167,187,5825183,478411,2,76601372,4,94500,114,289670,29878252,489,46617681,85,13,200387,25,142,510931688,690,6750,24337735,674,1157083,99165245,1,3292,576785,7869,345,5,318,717698223,4012,19,58,7954,938970}

{1,23,183,1,3396579,1006800,7401519,97733,979356,1,172,20,668382,1,70081982,315,661,1,180651296,7,83,8008,369,1069,991,7,63655632,77708,1,116194889,3012,1,669414,1,33421947,1,1,12871,305292642,89,25436,2598,1,30252,65928,6204386,207323,1,955,836,2013059,6900,1,267331,36087499,5801949,14050289,6396,10,432,476,1,917,169737962,43021,6,70186559,79150450,955401,96167,1,83213180,165324645,29,993674959,98463210,1,677,1,63414798,1,92863,72583,1,8224,8746136,1,5,5929,1,8451146,41676,909136,1,30503,1,1,753,15242,75418}

{17,85,220,2,3396782,1007027,7401528,97779,979478,3,442,29,668557,11,70082222,330,908,5,180651423,25,83,8407,519,1069,1017,72,63655709,77964,108,116195026,3021,1,669414,4,33422087,211,6,13058,305292818,94,25450,2773,2,30275,66280,6204413,207328,108,959,843,2013105,6901,1,267399,36087506,5801960,14050293,6407,28,733,683,8,967,169737966,43031,8,70186627,79150480,955406,96172,58,83213249,165324755,162,993675191,98463242,47,722,56,63414820,38,92968,72919,7,8238,8746137,10,42,5950,8,8451165,41688,909165,17,30508,141,12,757,15325,75422}

"BWBWWWBWBWBBWWBBBBBBWWWWWWWBWWBBWWBWBBWBWBBBBBBBBWBWBWBWBWBBBWWWWWWWBBBWWBWBWBBBBBWBWWBBBBWWWWBWWBWW"

{91,39,81,97,5,22,13,41,78,23,48,67,97,32,98,12,18,97,17,3,73,98,80,79,83,48,43,65,64,9,4,23,83,39,35,36,4,6,27,12,39,7,48,66,64,75,83,80,34,70,47,38,42,43,28,81,49,39,45,64,36,61,55,78,65,79,64,25,45,51,70,13,97,0,79,64,52,9,5,46,71,86,70,22,52,86,91,23,68,80,96,59,29,9,51,69,99,94,32,23,58,1,78,89,95,21,20,8,37,1,69,63,10,12,60,98,28,31,79,71,77,24,77,18,45,67,62,11,99,45,10,12,58,17,27,70,86,43,17,56,3,84,75,37,16,53,10,13,49,84,93,0,94,74,58,95,93,56,66,81,45,10,31,52,18,36,80,46,8,38,30,75,95,87,20,9,51,86,59,62,62,86,47,98,4,0,83,26,12,96,69,97,0,99,39,84,34,72,88,77,62,99,93,70,46,36,53,32,72,24,81,53,2,97,45,68,43,70,71,47,65,63,84,56,26,50,28,25,22,68,77,40,88,40,29,41,28,94,95,10,2,14,62,96,93,44,18,50,95,3,69,3,98,62,78,37,16,45,38,77,45,62,44,13,48,39,5,63,71,83,30,51,27,51,68,25,84,9,64,99,15,85,81,79,94,46,61,17,75,93,84,3,2,34,61,55,68,82,30,44,44,78,24,37,72,96,11,83,65,84,87,54,18,6,7,0,12,40,96,44,28,25,46,4,2,65,11,47,80,72,24,71,99,45,33,89,19,5,90,17,32,34,65,98,87,74,74,23,50,47,95,70,13,5,94,54,59,65,77,39,81,89,32,76,68,94,53,16,88,42,46,54,69,42,26,20,53,54,47,2,80,58,31,83,12,60,26,29,10,94,15,42,50,76,0,59,91,53,72,62,96,1,76,80,2,5,60,51,64,16,75,5,93,13,94,70,55,46,56,40,60,89,27,47,43,2,11,12,13,81,6,59,17,95,81,52,71,58,15,73,47,54,9,31,75,38,72,57,99,84,82,64,95,53,55,82,5,64,43,65,67,40,3,20,23,38,74,85,95,47,71,49,82,74,71,61,8,83,30,87,91,79,58,54,45,40,83,79,98,52,77,73,99,79,56,18,99,60,69,38}

{57,64,99,31,43,1,2,89,62,5,73,15,38,97,71,40,45,78,75,69,44,37,46,13,47,57,41,78,83,25,29,88,21,30,29,66,26,82,22,49,17,97,27,48,88,12,90,3,4,47,97,40,74,38,11,25,10,2,22,9,58,53,91,62,39,55,18,98,95,6,21,91,84,34,85,7,85,30,98,80,16,97,25,61,17,46,70,14,22,10,5,28,3,47,20,90,48,58,95,97,77,20,35,38,19,18,15,17,87,89,33,80,74,30,59,87,48,34,52,77,28,55,11,5,12,87,78,48,35,96,19,68,77,5,18,15,32,91,1,21,69,16,92,79,8,10,34,77,26,16,68,51,69,88,9,10,71,38,56,8,46,83,91,65,10,25,92,17,92,12,47,27,86,21,42,76,3,14,85,34,62,19,98,50,53,20,85,31,76,45,48,70,55,61,30,46,37,42,58,89,49,28,18,74,10,64,18,64,64,89,72,27,84,52,39,56,11,44,12,57,29,5,53,48,27,60,60,6,16,60,83,11,81,76,48,75,19,5,7,72,30,39,44,60,91,86,91,83,80,77,23,18,54,19,49,37,49,15,54,14,85,36,78,73,89,4,27,43,76,96,83,46,56,5,58,59,80,1,6,30,19,75,50,73,82,12,52,96,32,25,16,55,98,50,98,65,38,75,12,88,37,49,34,62,61,98,19,71,99,66,70,42,79,53,73,31,32,96,36,32,16,47,88,49,66,42,22,49,42,30,65,31,27,79,4,57,57,11,35,62,28,18,62,18,9,47,59,61,3,4,61,90,36,95,28,66,79,92,89,66,21,73,2,10,47,44,74,57,66,41,33,17,22,39,53,68,28,97,86,91,9,84,81,32,73,11,11,40,46,9,97,2,34,44,3,41,33,95,95,84,76,50,29,39,91,91,36,41,82,24,72,75,80,69,76,42,41,59,23,45,30,44,84,20,42,72,67,78,95,4,97,71,6,37,94,35,82,39,36,42,23,59,20,1,15,10,30,76,89,70,32,32,64,23,10,24,77,30,26,37,0,54,84,1,99,64,56,31,11,53,33,29,77,33,75,97,32,60,51,88,91,59,40,21,92,44,16,82,37,45,33,5,60,49,14,75,24,95,15,23}

{35540,1750060,955653,1360,976587,88495172,221,92512011,6105,1483450,43028234,155578471,305292102,4291964,83479756,373305495,217858375,811,445127712,180757,103716,10031,472389012,63414806,412694761,43032539,93113479,478411,18555561,804680,112859236,479299,24309007,4120363,248227009,73661980,60278071,7332890,134080,373419623,342546608,5525913,43103968,113213049,5858986,470546486,32780995,510921794,30027460,437032388,437033171,305356871,1040292447,305262583,21,93575,747221,4118194,6253233,5063542,3475426,284090,5760621,6107,3639741,57613290,218202305,23135,6208132,7399636,44645,41762,8101,33424230,55825751,450940,9900700,807068,999462,472389012,83501746,99165919,101,40651,346662061,60622564,41685,962917494,1012002,510185290,1006813,1174771,116246098,436227805,14572,8441612,42163044,717728697,4288770,477968,201065,88551855,132093243,305869577,4023,224025784,173270,347643896,13112,87975030,399485,680669630,1039545198,373416824,180616425,23139,43028390,33423579,63417324,83301831,201075,14628285,201053,223063711,378279989,155751817,6109,43028375,131229787,6212122,747243,373038759,201061,347671379,223992078,173259,96211273,11483,258112816,14079002,180759,7753,97554127,63401858,979131,1013550,34166314,201065,63674012,7752,955394,14641,717669365,1040283233,804683,743254,83502893,291242512,56136278,887104,44739288,23591337,42253,475895,223323251,3475419,511840837,308121924,70318,677376151,437034861,98385650,99161231,44726,92,804704,9070,864231036,8762361,33424145,4,99165229,437039808,2085820,3129603,92,31926771,63674190,373420423,6212119,43028157,793,5802380,997353,4120365,38948403,33411119,195202830,9217,377078,5273,1014288,224070500,1040292363,38210045,2392795,223802882,2828212,189334630,8251961,195109257,189690,8693,3222,10314606,13094896,30270,103786,455006914,437038525,116612177,168731163,259609,57076770,63596420,183706949,181790687,7404252,56779,182745139,24138021,114954,89559,114934,159160262,191546396,23,718674494,5522722,194455575,3424,959278127,97773,181790670,41761,99193435,224028739,26254934,510927699,191161,478322,224060596,36584179,6092,835,1,665,6369331,269725116,963195208,3691079,3471204,103870,161,42451603,7514743,929317,169707752,83502866,24337707,24340106,38942660,13972810,1007651,955402,1174760,510939234,87747145,13180940,1010646,173330,90874082,2015376,63414640,717733589,334463160,14419,346664574,101417085,9,7749,5811427,22925,31502715,24265,6279912,304337399,98397244,373416824,94655,90768,834,42246698,17157,195185904,23122,10,107261280,535880,70179001,98,36607314,160655708,7136637,5526569,657,369129406,114954,3475405,4188903,1158,437032473,38948084,3395939,70186346,478402,57568,437033310,510931698,195199198,8350343,83502246,940931,57218171,3794580,582830,6739,1006783,140536510,346660372,4292777,190646280,474191,224047367,804687,1384089933,1039117689,461846,2099052,440429242,12932,8458930,3475416,1010810,717728704,34618879,64588110,1387566,377077,74304537,120926,576941,4292555,747226,437987875,717695909,1040024831,5872,70183911,93088794,38559497,382232267,133088,4118144,63407223,955325,267629,36606505,337867250,41550,510127036,8899,92931,21383772,373420303,181790668,63674827,116197851,38210048,716924030,173398,226,31502713,103837,9913,91914034,439404,271182,195198829,11776,42,90468988,116255970,506813694,41554,965212,178315273,93082414,5848049,8827590,96739551,97456485,510931698,190657,717728666,87,98884773,37782538,14526933,6260708,181792123,604993,69921,437032555,30282,195202615,155751801,373420457,4011,3304561,7403455,84096873,354063366,16953,717759898,132090711,83423569,4118143,3302724,170,436555826,36740992,804760,88551158,98635828,306039180,195199196,6724,437503,8818,4213439,2828210,5864207,743815,6547892,8892667,1206502,5864571,63644566,491348,155751814,36492349,17478,88551856,535512,311074956,1026242161,9902562,4028,437299639,83321374,116255171,265595,1039894649,15539577,17623,3933265,157452974,11008,9226,2,64588111,114965,36562590,5302978,92292,24337898,63348910,10029,6209622,198112,1006644,180926286,63413961,949345983,125607224,7963327,181786681,174371,305769447}

Returns: {30, 17, 88551790, 24, 7, 220, 9916, 2, 90, 3396686, 5, 1006801, 2748, 7401519, 5428975, 97749, 85, 979362, 804673, 3, 746821, 442, 3, 26, 372751801, 668489, 15, 11, 893314288, 70081983, 173022, 327, 499, 680, 346664580, 5, 43419136, 180651297, 8, 21, 5, 83, 36723, 8013, 57087, 493, 477713, 1069, 8827759, 993, 5, 13, 19135, 63655633, 476, 77957, 2, 24, 61117, 116194891, 639, 3012, 660, 1, 3623362, 669414, 397806, 4, 2166, 33421987, 132093231, 5, 3475416, 5, 86, 13027, 107, 305292683, 4118063, 90, 89524, 25450, 93086020, 2765, 15, 2, 38, 30255, 37833, 66040, 7753, 6204386, 38749981, 207326, 437032457, 16, 43027423, 956, 2, 842, 95869, 2013060, 7755, 6901, 2524, 1, 319, 267331, 519817, 36087500, 437, 5801949, 6, 14050289, 355, 6407, 3, 10, 1174036, 733, 181790207, 486, 16928, 8, 5163, 947, 6, 169737962, 5825179, 43021, 478404, 8, 2, 70186560, 76601359, 79150457, 4, 955401, 94500, 96167, 90, 7, 289669, 83213221, 29878005, 165324687, 9, 162, 46617467, 993674959, 81, 98463210, 13, 29, 200387, 686, 25, 34, 7, 63414798, 510931688, 23, 690, 92863, 6749, 72637, 24337716, 7, 674, 8234, 1157078, 8746136, 99165225, 10, 1, 12, 3287, 5942, 576785, 8, 7869, 8451147, 87, 41679, 5, 909163, 5, 15, 717698185, 30508, 4009, 21, 19, 9, 58, 757, 7898, 15242, 938864, 75418 }
{961087,5,88,543,5,263730,10,36125,139748138,2,4,870,408561733,9433,1,42,1,89,450021,77686653,9679,545,18413,762,2331369,6632685,1,4400,384816,1,667,123,8978614,1,29,1,1,1,599990,5384,802494,286859,206813,6396,582,181260,582043096,1,1,4861,1,21,1,2849286,377576,38162,953,25408080,782,870255,1,1,448,1,1,1,1,36,5,9769795,861,18,1,80323,33112,7472,356,910847,1,1,145762,85629,1,1,1,74873922,1,2845,75,5736444,398559,68,13911635,320528527,58,184558828,658,63,57,51292}

{961088,35,118,792,59,263731,19,36153,139748138,2,5,947,408561811,9446,16,44,23,97,450086,77686675,9692,545,18470,779,2331473,6633061,21,4521,384823,3,711,314,8978903,17,256,28,286,2,600002,5417,802508,286860,206814,6706,633,181271,582043245,7,3,5010,1,26,3,2849309,377611,38471,959,25408199,882,870257,38,12,690,343,10,2,2,48,12,9770046,863,47,205,80334,33140,7496,629,910852,14,40,145797,85751,52,2,25,74874023,5,3255,101,5736483,398584,88,13911681,320528552,169,184559162,660,124,64,51321}

{768866717,134581771,213108,1,4049,56,3089,1,1,5225509,60947,915,9403596,826,1,425630723,1781760,803764360,41301761,7431,1,1278576,883,9341,73911810,2,348814,1,431037036,2719,2,688,554943,7,290,477,62,290134,8,267742,1,2057556,2,258,1643,40,3,50497,439,21,97729,2960,1,648675,9181396,7247789,58410417,82864,8339,88104,54897,1,846,1,70556179,7537399,1,4,1,1,4542743,1,5011,1,252037,308,4102448,36785226,4153,8463,897794396,608024,1,51648,8,1,9790801,43380994,4,1,323403,79733,65082433,75,734542422,63065464,1,64100548,109623040,370702}

{768866755,134581910,213110,9,4213,58,3111,13,7,5225572,60947,1122,9403601,1000,23,425630732,1781896,803764468,41301774,7499,52,1278899,977,9380,73911939,9,349074,18,431037279,2725,10,701,554990,49,297,483,73,290259,13,267796,169,2057558,5,275,1690,67,9,50721,450,40,97738,2978,49,648677,9181408,7247881,58410439,82957,8420,88255,54903,28,1108,1,70556204,7537405,11,8,238,8,4542757,5,5207,284,252258,993,4102525,36785260,4153,8478,897794593,608045,262,51714,9,2,9790801,43381000,8,3,323404,79733,65082478,80,734542465,63065703,10,64100696,109623206,370780}

"BWBBBWWBBBBWBWBBBBWWWBWBBBWBWWWBWWWWWWWWBWBBBBWWWWBBWWBBWBWWWWWWWWWBBWWBBWBBBWBWWBWWWWBBBWWBBWBBWBBB"

{33,1,73,34,4,81,76,28,85,89,32,67,84,71,14,74,44,54,70,0,84,75,0,2,23,86,29,56,58,40,76,4,71,24,39,35,93,83,31,77,0,25,25,92,5,70,8,44,4,11,16,40,94,44,43,92,63,82,2,47,49,49,52,25,21,57,42,76,7,2,80,32,50,72,91,15,35,95,72,0,98,26,51,33,37,21,99,66,78,91,49,96,86,81,47,63,82,27,51,18,50,64,32,8,3,13,22,84,0,57,75,31,91,63,97,69,5,16,14,37,88,0,5,72,14,17,82,28,65,7,19,68,69,63,13,92,51,58,52,65,66,3,59,73,77,65,29,7,65,20,30,67,23,95,31,11,89,70,73,88,83,2,67,20,70,70,61,91,30,27,55,17,99,95,7,2,51,65,59,75,27,3,80,88,20,61,17,75,37,50,39,61,26,24,67,13,68,84,84,73,13,75,82,66,50,39,83,56,28,30,89,43,34,78,66,80,5,31,98,48,26,19,63,66,83,65,55,60,86,27,34,25,36,32,61,7,61,89,42,27,63,33,99,47,65,66,45,41,28,10,54,62,69,62,63,58,88,74,64,50,50,44,83,66,35,16,60,36,52,5,52,43,16,74,46,11,44,88,80,73,82,76,10,80,13,46,87,25,20,32,44,80,49,96,70,93,31,4,21,24,18,84,14,46,36,12,65,85,11,30,8,13,34,46,81,36,34,84,2,93,97,65,14,31,30,52,2,73,91,88,30,25,82,42,31,21,93,63,95,95,15,66,85,88,23,10,18,42,29,39,53,29,30,74,83,28,35,94,67,85,11,2,86,96,90,72,1,92,45,36,16,93,59,5,52,34,0,50,46,18,44,66,69,74,47,13,84,69,87,72,35,46,36,58,10,75,8,2,72,55,37,14,67,10,37,83,3,94,89,0,5,70,32,60,75,45,53,94,17,3,31,20,42,13,87,74,68,50,30,33,51,1,88,73,24,25,74,51,79,37,28,29,44,84,67,41,35,59,62,32,64,86,85,32,59,21,65,84,78,28,43,22,46,39,40,25,13,89,55,2,19,78,29,8,58,98,42,66,35,51,35,17,91,8,76,13,0,64,15,79,97,70,98,21,4,87,53,39,51,83}

{32,25,93,2,35,16,43,73,19,91,26,59,42,9,73,62,98,45,42,12,42,19,36,36,81,4,29,68,46,59,8,47,12,95,6,47,21,6,32,56,0,30,63,98,65,49,16,29,82,0,96,69,64,28,27,68,14,74,52,3,31,6,44,57,59,67,17,63,55,41,68,56,6,94,96,74,8,97,98,60,54,31,29,57,10,51,95,31,19,98,46,98,3,96,73,43,94,11,26,23,77,53,14,13,55,64,5,40,63,50,40,24,18,12,25,84,97,91,92,65,86,4,24,23,48,31,25,2,72,28,32,19,59,18,44,80,38,72,91,8,26,47,94,87,18,14,4,73,16,89,44,12,46,36,61,75,54,50,45,30,39,41,53,82,57,11,76,8,32,87,99,68,58,92,43,51,43,92,5,59,85,84,61,46,61,30,71,88,28,72,42,63,40,50,57,77,84,3,43,4,11,18,82,40,88,87,85,17,94,86,75,51,7,96,58,79,64,59,31,92,10,86,38,10,32,21,6,53,61,98,33,60,33,88,80,62,1,69,69,25,48,15,89,9,5,47,20,28,12,53,15,6,56,37,12,8,9,47,44,87,36,19,38,30,89,25,12,54,20,5,12,39,67,55,88,30,5,3,16,40,38,77,99,69,82,19,86,93,17,47,31,80,62,89,73,76,3,53,5,91,22,43,82,88,69,53,74,80,54,14,1,59,41,54,67,19,32,31,91,40,27,79,1,23,86,37,38,50,55,60,15,74,98,83,78,64,71,27,50,25,70,15,42,12,58,71,76,60,19,32,19,5,6,19,83,18,23,91,94,15,52,90,89,9,39,5,75,55,26,54,54,81,0,59,95,48,9,18,28,37,34,51,22,97,57,25,13,6,65,76,3,37,82,17,87,38,61,74,55,48,57,12,90,36,79,82,84,98,34,90,10,2,61,93,2,33,7,45,25,97,57,66,78,38,71,95,23,14,48,48,55,15,85,18,97,74,4,69,22,78,38,30,29,0,11,74,16,58,92,27,58,53,40,16,83,75,40,82,76,99,46,27,91,44,25,12,46,55,78,82,33,21,40,71,40,48,30,53,74,16,94,53,54,84,88,57,40,81,64,98,3,49,72,8,82,21,17,47,28,37}

{9533700,141214475,320448288,212872,3582,1259374,4108603,431341561,2820206,5816158,9184648,958471,206830,5225558,80350,284045,109622066,9377655,4748707,1167063810,206826,77686079,769827774,213137,683553,9786774,20,58411159,582050681,156023,143850308,46482,417965305,193073847,270059,50049,321806784,48573,9532908,22535122,5,6631997,6632704,58452295,7801095,4546870,141529904,1676,4066,769825997,1782420,8967339,663986328,431419616,2584,78993874,30,285329,213204,51314,5538,8087,2265,18858458,2060324,25491120,803971102,4102893,7249843,2131232,897940050,66833240,94643,734537515,80337,425411598,139748621,185593884,109618237,769772937,100819289,348522,265,25491154,229210,1276444,247202263,825,77689991,109543457,582038147,109623763,9791596,693010,130846,6974,734542525,4370,346155,41741751,37598339,72756832,9533698,139739708,7285181,70564655,246117,802505,769827847,25422995,795595,76242458,41672060,417965336,70733186,9769828,64364171,1702094,78994096,7247284,9790884,769823792,75979467,5123,438,803763711,6632710,431208700,7532405,431385755,69255498,77693889,8987818,41751863,9508,846477941,602946,4156,79813,147285542,349085,51302,735324407,43458109,4977328,7537405,1359,44228,5755666,5726808,1779,417965280,582051679,247624265,823,6887,14540305,4445872,101033,651,221521,2131234,3497940,9705,29867126,4541929,4102890,139827809,9533010,43382188,6890160,803764226,412906,172664232,29684,210217,9390,71456705,694741,950447,74869532,802,897940294,582043034,9712,718,803764414,7992,431131764,92740,469184,17,1151569,76145512,25491104,37685664,231,793,6967,84389,8591,41743806,6,802513,97827,43115418,74925583,745354811,303890187,9791524,5729583,9378,36376,4813,9167,897931844,70819879,957702,109622564,78993670,288148,87470033,600018,60965,9482069,6259100,7282850,3443054,9790815,109627532,347,6687574,64,9533621,897940299,36521,134581791,4033358,9563026,6628308,462,425630767,6055962,5174997,7801079,50526,171642,429077483,829810387,3437046,416826873,2704,68179304,289742,417965355,139755713,5225598,234809,70555144,43286495,97702,77691875,651653,717,5736963,8414457,417910428,9558933,9715,9,417965335,268808,1781804,7000650,582043051,1152,264744,722,896158531,722172,600028,33593198,361126,907418590,10441,504363892,33593419,313895918,803773965,9483178,1458,3,5379,5735836,4622226,324630637,1357,3493933,1542008,76163452,41732514,6970,37,582043042,9769889,414467363,7318318,972522697,9557122,732,274329930,948096,2344091,590846938,693616,77694080,9533360,820,133396,319726112,64104885,7528955,134581769,9329,9791526,290137,813026,178077,7206170,54961,425631408,6851814,109623228,258461,3592,69277898,320528574,4417,247526590,240991626,421088814,425630773,74667114,417965252,1009,60992,37649001,261692,77691415,9260538,75478612,266409,3812,77898325,1,389800561,9652,734462741,734542485,500504620,1870,508788,15527273,5226177,448823,268697,134588693,71708146,530285,9558914,7777226,321050846,768869344,694738,247624321,211,764602343,41654127,1012695342,41461724,1932,2999,9752248,63881388,25440642,6624267,10431,9772919,35846821,4097873,1269,582333239,70,803756724,43323279,593111,139748139,72130,7280948,7285530,25615385,417965324,721918,60887,281690,51649,797,624919298,5736737,769105875,324634,4330428,9533709,320583346,219926,181323,3461861,734723625,810396983,64101284,25490357,9717,210969,591561,43384179,247339011,9904,97743,1172,465,7282989,291048992,74873855,41671544,12142595,6851812,281282,9772756,26062,286004,431252244,3437,1683,769827834,1826,2059102,1781282,949363,78992823,9529306,70548645,11991443,74071436,10205511,906876,1285234,8339909,23,4098740,430999817,582036668,14970,582122781,270913,5830202,411332644,582034675,12946118,7281808,213201,77694135,1275257,805230,139748098,810075,109622799,206129,3497993,284849,1778826,734542037,805964905,9479189,139748157,4102805,25480735,769025347,70033812,355074565,109614771,64101274,4546871,109618230,141026461,4080,42104817,805964907,222643,431418894,238496}

Returns: {961087, 768866718, 16, 134581772, 95, 213108, 778, 9, 14, 4057, 263730, 58, 11, 3111, 36126, 13, 139748138, 7, 2, 5225509, 4, 60947, 947, 915, 408561733, 9403600, 9435, 983, 4, 21, 43, 425630724, 11, 1781760, 97, 803764360, 450053, 41301761, 77686653, 7431, 9679, 39, 545, 1278848, 18470, 884, 764, 9341, 2331414, 73911829, 6632686, 9, 11, 348985, 4410, 9, 384816, 431037064, 3, 2721, 711, 7, 124, 701, 8978689, 554943, 17, 49, 61, 297, 7, 483, 17, 73, 2, 290150, 599991, 13, 5399, 267771, 802501, 6, 286859, 2057557, 206813, 4, 6689, 260, 613, 1664, 181262, 67, 582043096, 8, 7, 50521, 3, 439, 4963, 21, 1, 97734, 26, 2961, 2, 48, 2849306, 648676, 377576, 9181407, 38168, 7247795, 956, 58410420, 25408081, 82934, 804, 8372, 870255, 88237, 38, 54898, 12, 2, 564, 972, 9, 1, 10, 70556192, 2, 7537400, 2, 8, 47, 8, 12, 227, 9769796, 8, 861, 4542743, 46, 5, 154, 5157, 80331, 5, 33116, 252201, 7496, 583, 441, 4102454, 910847, 36785227, 2, 4153, 2, 8478, 145762, 897794396, 85631, 608024, 2, 30, 2, 51654, 2, 8, 74873922, 2, 4, 9790801, 3213, 43380994, 95, 8, 5736451, 3, 398568, 323404, 74, 79733, 13911635, 65082470, 320528527, 79, 95, 734542422, 184558828, 63065465, 658, 10, 124, 64100549, 63, 109623162, 51305, 370772 }
{68,7178,1553515,2547,4517,71,1,5381,86110,267,3804028,1,71047551,45652941,1,4,47868938,4,3836995,63350,92299480,405,35814780,18,3561090,3779452,5762,37,41599,262,840,51549650,431,800468,714932,1566,6,66765629,828907131,4984090,3680,8857,46840,857956,14937,656464497,1,67548,83472,1,48828,822898753,951766799,29322198,3488171,71976,32,1,56396,1,750971,123751,1369888,9157,1,596752,7670,48,841563,6485,5,1,631422599,1,1,3254046,28462542,64,174410352,1,965,1,25297622,21,76217624,1692446,150,4080,6221122,9325944,2,224,79676652,1,100,1,1,1,5564689,131}

{346,7189,1553716,2628,4784,76,23,5395,86147,568,3804035,1,71047554,45652954,5,196,47869211,4,3837018,63820,92299483,414,35814782,299,3561344,3779470,5790,84,41616,266,856,51549690,433,800480,714936,1707,441,66765778,828907157,4984151,4078,8892,46919,858058,14971,656464503,26,67608,83476,167,48832,822898865,951766804,29322211,3488173,72051,35,17,56429,17,751020,123809,1370131,9158,30,596759,7686,104,841723,6517,12,21,631422617,472,70,3254202,28462712,112,174410357,9,978,2,25297856,22,76217629,1692508,161,4235,6221141,9326170,23,271,79676658,40,105,5,57,141,5564694,140}

{38542,221,58798,80,35923971,1,81,8130162,12482501,67474,85094,1,21841377,162,768461,1,53527081,926276,219,580,1,98814,76527707,51393,58523,1,27757114,7774746,93176924,21,479898626,796973,697370646,9,577843420,757,9729,8463,8093,1,46223,322268,665655536,49,815551,7092696,4257012,52,1,384632,364613499,29600737,8156,1974,56224,21849449,890192,16764325,3,1,376,16,71,1,10,713189,52,2538,962295,5,1,4556221,1,7646554,491743036,2,860981,95846231,44228794,665157,1,86500708,42598,273,889317415,28,626002,6028386,68067,1,901326,662,2986782,996,821792,94939,155,1,1,70954418}

{38561,236,59152,315,35924179,30,287,8130190,12482545,67532,85104,13,21841396,180,768476,293,53527183,926283,341,600,7,99058,76527972,51425,58534,21,27757117,7774746,93176944,107,479898632,797002,697370663,273,577843769,757,9756,8487,8126,10,46678,322332,665655726,51,815575,7092730,4257021,55,6,384879,364613682,29601140,8168,1974,56227,21849631,890194,16764339,9,4,402,20,259,381,64,713279,58,2562,962416,46,8,4556234,11,7646555,491743049,4,861025,95846386,44229024,665221,82,86500709,42764,695,889317443,31,626086,6028827,68368,2,901464,672,2986992,996,821795,94943,157,5,5,70954424}

"BWBBWBWWWWBWBWBBBWWBWBWWWBBBWWBBWBWWBWBWBWWBBBBBBBWBBWBWBBWWWWWWBWBWBBWWWBWWBBBWWBBBWBWWWWBWWBBBWWWB"

{74,3,64,93,87,76,89,74,42,1,8,67,36,10,22,21,20,62,42,30,89,77,81,0,28,61,61,3,42,62,10,80,65,44,94,83,31,12,86,86,40,42,46,36,66,70,52,17,5,7,47,11,73,42,83,16,33,27,43,23,85,38,51,3,61,4,3,29,78,72,90,19,31,6,74,79,0,77,44,2,77,80,49,27,10,88,71,32,46,29,89,67,45,53,19,58,65,65,6,35,56,72,73,41,23,39,43,15,99,76,88,78,25,83,66,43,78,3,38,64,48,14,81,61,51,11,91,84,69,20,66,62,11,48,11,9,97,56,57,77,2,96,88,88,15,89,61,57,43,67,79,16,93,39,43,97,45,34,3,27,82,47,45,52,67,18,96,40,41,71,71,71,15,65,75,15,64,4,33,11,18,96,75,49,40,28,60,74,26,79,6,71,3,54,3,7,92,31,76,96,73,24,34,11,94,9,39,29,82,62,50,17,86,65,33,8,94,99,89,48,52,38,94,1,73,36,76,88,58,18,39,53,94,43,67,64,84,73,27,48,22,38,71,23,79,56,2,64,28,43,48,11,53,74,16,51,29,30,41,50,89,92,35,14,30,89,93,57,9,63,4,31,84,29,1,41,47,63,3,77,27,9,35,40,85,12,67,52,61,0,41,76,15,48,26,18,29,8,58,58,34,90,55,94,80,36,80,79,6,98,49,35,79,99,16,82,14,98,16,20,16,4,86,89,28,37,8,74,53,30,85,91,76,92,16,77,70,2,38,20,79,98,95,88,46,25,39,89,86,60,27,37,72,14,1,55,90,5,92,64,71,20,72,76,81,3,98,80,85,75,71,80,44,49,85,90,88,68,95,69,64,35,56,33,16,68,31,58,39,24,38,80,32,94,98,46,21,78,0,17,55,59,76,6,86,28,82,95,11,95,43,38,3,23,3,19,55,34,24,70,70,53,13,26,1,48,27,81,82,49,72,12,60,68,1,39,32,80,3,85,82,82,98,23,10,44,97,34,52,14,79,15,96,64,99,39,79,92,80,26,10,90,15,91,58,27,8,26,53,38,85,51,47,72,57,85,90,73,19,6,49,38,89,14,52,98,46,7,61,85,76,15,40,78,70,51,26,17,35,65}

{19,88,96,1,27,51,16,29,82,76,41,22,61,94,29,36,98,27,54,86,85,47,4,13,88,94,17,1,61,78,4,45,63,49,83,83,46,92,36,93,36,20,35,2,27,93,28,96,0,45,6,87,36,48,32,70,86,32,67,20,42,86,90,83,71,81,89,40,93,1,60,49,60,87,61,27,89,84,23,76,75,24,82,62,59,30,72,29,79,48,80,99,62,95,80,39,28,18,7,1,50,53,72,24,2,68,7,98,31,90,54,2,79,23,4,80,16,78,35,67,12,70,83,27,2,31,29,32,64,17,99,76,71,62,59,32,71,17,71,15,32,55,43,97,14,77,51,65,16,43,5,60,8,93,2,82,65,97,22,94,36,7,31,60,57,48,50,66,77,87,36,32,34,4,53,89,83,22,36,7,5,3,93,1,14,12,41,1,53,80,90,46,65,46,68,44,24,42,61,53,78,6,96,77,67,9,19,3,71,20,71,42,6,87,68,80,98,21,47,68,60,45,21,81,58,47,20,32,0,9,97,22,29,75,42,75,57,26,65,38,83,30,19,2,61,86,45,53,94,79,15,27,19,90,37,0,98,4,62,95,33,58,69,85,98,43,1,50,71,11,83,97,89,89,99,78,80,70,89,53,49,8,53,23,50,46,57,65,95,42,41,52,19,49,90,72,42,30,51,52,94,27,89,79,35,17,81,30,57,44,41,28,92,80,97,49,31,67,37,4,53,71,36,20,30,25,8,83,55,55,31,17,56,14,62,88,22,64,22,50,27,96,89,67,58,26,42,28,13,98,89,26,28,51,91,5,62,36,1,89,10,1,98,78,99,48,10,45,25,65,26,36,86,73,25,97,35,14,20,70,80,58,48,32,46,46,36,21,30,23,73,97,88,93,53,78,95,23,26,54,97,60,21,39,11,19,11,53,37,98,46,25,9,50,56,91,21,61,24,67,15,60,31,72,45,47,50,88,42,49,95,20,53,67,62,44,59,10,24,26,42,93,95,95,31,62,67,89,9,30,47,1,0,29,69,54,99,92,99,20,62,53,78,9,53,52,6,57,32,56,28,61,24,63,85,25,87,18,74,44,75,3,70,59,21,14,67,30,43,63,75,46,95,5,80,8,26,89,46,39}

{491806586,6286978,553,8134,1750157,823176223,92070563,491743745,690863927,29316341,12237831,112339918,133817,4540886,112342353,89748,86735123,9144891,669040879,479273769,7634068,95913963,50581513,45691465,99288117,945622,1050409,5166,665732890,217269511,39638604,663556623,1301074,445909,821806,425,55009688,27483629,616751,625563,40925,757908409,4258046,1603095,7782512,1448,1044894132,926566,38967,657496720,68020,6033148,7637061,665692379,697370753,101396275,1426606,689596366,860673,92351154,667301631,829525234,851598513,2890,4680335,50581317,9323823,50417,218638418,631415749,1652488,448052,51595434,6033184,491867134,7109681,9364678,869688913,779394,27711372,99100664,3618659,25639780,9144894,3889199,486050988,635979082,697371067,3592067,83310,9325451,70952224,662187245,29415399,63745,4927850,93019191,3953340,8135806,6183,363772306,602102394,639069421,3816143,1561114,5104975,8982917,5564785,121707050,28503537,2745491,217026950,4444703,51285,35927481,857428,135839790,218636961,828912874,2882,92805789,768717,86500782,7898565,850887670,52346971,898,268164042,6803,93225815,70962195,27953572,4556565,1286929,369,697303374,4556229,36528,12208497,95846389,698865391,21921597,5431527,6289764,768483,105172692,852376276,16648249,100538703,860431,665435,100644998,12567823,4985242,754851,25340445,662247656,578558510,112340102,6953236,25330626,8192728,611211014,951024017,16762110,3754107,364662367,50249,95533233,1476954,4546480,692815148,578558615,35803396,26070450,9326202,598,76414328,810261,8135713,3837515,2858,3255540,391732,726454,142341674,1064203,491750411,57071868,666155,901398,299294,1307740,7689436,1801613,7324171,79044234,716361500,29200267,29324316,210992884,3619832,578558584,95846711,819409,189,4921021,2469,29811154,90929771,360106553,664776415,626454,5908571,1003661,12567701,6386433,70855938,9258882,1721130,951023703,179527432,723115,86508008,7702762,77501,64697858,703523469,94905,3904247,4984294,83018593,822128,2396458,665700101,3254375,948771034,20116435,7658614,828832211,112342292,1308796815,4619870,1561052,789239,264581,661944842,29324446,92396887,1523323,83800,7774935,29259947,490841801,72415456,852461293,5564772,443978538,1683765,364567820,8525950,82607526,5829,2461398,485462774,8468561,8211,347898102,4489329,9288,35928180,52346938,956209336,9326068,70961573,218308464,66980,9537,9323878,125166427,7390549,12500983,29322036,9321,366257376,88632006,16761994,951875453,218808,665664303,428,924157065,64491,468511,26861817,627586159,665702486,467501576,852443648,951718824,577736674,6873665,31103844,156819,1755,916754,86502042,479234543,16764674,6365548,71669,93216106,81998539,70955662,101396653,25639921,51578527,5567278,72415822,128219198,72072488,31372336,616441,82973430,386762874,62994917,129,491742798,51097828,458120311,50654411,926204,28491940,81895428,100026101,101999234,112342611,1612729,869612000,456864486,7110022,5564997,9421208,6287249,4313777,31530876,670593062,102461876,46278851,4814355,17101125,94509051,724558124,851731704,7711,21921583,2271583,10047,82656371,9326567,8275354,92292700,625858063,189315852,15546442,81086,1845949,663556632,2087054,3370878,23207112,11023,204441,7262435,2087388,901507,6287158,1035959,92394629,6766,1445,55722,974084,698170835,97139676,4136784,52337157,155432,484882239,3568508,836545667,1105,703523263,821258,23759538,214382818,4870,218588038,27724380,4358559,21921599,751567,29224682,4984420,626241,93198902,25340543,29415476,66774393,5659815,5115272,825136099,69795,364611249,892912,64042,21822472,578435075,125,3073,359,28573221,6693745,659173951,663550101,16227,356887581,92653829,690863681,368,631517699,43093761,28572948,1801599,1363309,5785060,697371289,3888348,3617265,29443969,690863975,25339737,5659906,44003,48457656,2170804,2807,586454824,951826194,479131096,732936,7522,38690,433,70961030,1552334,70289513,255,70955547,120050830,2518975,30221741,218639636,66903,29267903,959533350,12568710,10998666,726690925,829789306,94827826,852376089,3552108,631413810,18457200,2087019,5131609,11483247,491806324,830655,3639132,828912967,9326352,768661,951857570,6333354,4254606,471773266,734504,1683695,26069995,4257296,52769,218639649,1174,839931563,68,10252544,4258247,5101046}

Returns: {211, 38552, 7180, 234, 1553516, 58949, 2611, 230, 4517, 35923971, 75, 20, 8, 184, 5391, 8130167, 86125, 12482523, 339, 67479, 3804028, 85095, 1, 13, 71047554, 21841377, 45652945, 171, 2, 768467, 82, 115, 47869044, 53527145, 4, 926276, 3836996, 300, 63642, 583, 92299480, 2, 405, 98980, 35814782, 76527776, 163, 51409, 3561195, 58523, 3779452, 19, 5776, 27757115, 83, 7774746, 41616, 93176924, 266, 106, 852, 479898629, 51549656, 796997, 431, 697370647, 800468, 141, 714934, 577843594, 1707, 757, 35, 9756, 66765713, 8475, 828907131, 8126, 4984090, 10, 3851, 46450, 8892, 322268, 46904, 665655552, 858007, 50, 14945, 815568, 656464500, 7092711, 15, 4257016, 67592, 53, 83472, 5, 127, 384672, 48828, 364613582, 822898828, 29600925, 951766800, 8167, 29322198, 1974, 3488172, 56225, 71992, 21849540, 34, 890193, 16, 16764339, 56397, 9, 9, 3, 751007, 389, 123782, 18, 1370037, 165, 9157, 145, 22, 63, 596756, 713234, 7678, 53, 104, 2562, 841662, 962355, 6497, 26, 12, 8, 21, 4556221, 631422599, 11, 237, 7646554, 37, 491743043, 3254125, 3, 28462631, 860988, 102, 95846281, 174410352, 44228909, 9, 665189, 978, 82, 2, 86500709, 25297656, 42731, 21, 484, 76217625, 889317429, 1692478, 29, 158, 626022, 4123, 6028629, 6221122, 68314, 9326057, 1, 16, 901387, 267, 669, 79676655, 2986887, 39, 996, 105, 821794, 4, 94941, 30, 156, 33, 5, 5564691, 3, 136, 70954421 }
{528,25,1932,3,2105,1,885,11540426,9481,793486,1,5053930,118714,223964,69907,98,29739757,1,10,552369,1710,7801,58174920,526708819,125,60,89,150404,40,240,875,6444,9380,46733,1,1,1,2555261,15666,1,693810652,8445,457648,96480,1,1,36762,253584,1,956824,1,79947140,1,48,3,1,1,1324990,1,4185103,729,94,1,1,213587,1,1,1076,86,43583525,731,2,3779423,87365578,23913115,5,1,1,20354624,4720,1,5407827,1,1,1,1,88,59244,455001550,1,12,852,1,234944467,5534,1,1,5054,307212,950}

{561,64,2119,106,2106,27,978,11540464,9518,793520,15,5053983,118723,223985,70173,98,29739799,33,19,552637,1733,8018,58174921,526708855,130,140,92,150405,43,241,1075,6457,9413,46736,88,9,300,2555320,15672,4,693810834,8798,457656,96506,3,21,36763,253595,2,956905,8,79947176,32,57,28,38,17,1325039,2,4185106,735,213,1,212,213593,2,7,1100,87,43583978,769,8,3779442,87365580,23913238,8,10,9,20354626,4722,141,5408213,3,2,118,299,142,59248,455001550,1,50,858,5,234944738,5539,19,30,5061,307275,1107}

{3109,3454098,45536709,99370950,1,1,1,9,3621,1,318,1522,7560,174754222,828946824,1,65009277,142950,8286378,420,110307604,78200,378330,37194,23180428,4031,974481620,13086,338752,65,1,56750021,12808587,74,1556477,699139,563610,79450030,17,125405,373317,7110707,6560834,795202,65,828,3074,1,382,74822661,1,4,296909,5651719,7455,723860,1,129093,18348543,7,9107793,919888056,4897,11032420,4931882,10,982,1,5208,1,758,387,131,941427,188,8970,252611,359,7712,7316,16379276,890,7419222,36977,393448431,99135,1,92103111,43,1,1904,928,8975,97205322,491844703,44488984,91,484286631,1,9304}

{3122,3454125,45537266,99370971,3,35,1,9,3625,43,319,1634,7760,174754524,828946857,232,65009289,142954,8286669,440,110307768,78463,378346,37222,23180443,4060,974481646,13435,338752,96,94,56750059,12808748,104,1556510,699152,563795,79450031,27,125413,373350,7110723,6560835,795231,124,871,3157,1,434,74822691,8,5,297292,5651806,7675,724002,1,129308,18348871,8,9107794,919888149,4937,11032502,4931992,12,1152,56,5308,6,767,472,389,941434,209,9047,252611,444,7921,7316,16379316,968,7419452,37015,393448787,99257,72,92103112,47,3,1986,933,9129,97205337,491844718,44488995,94,484286693,50,9699}

"WBBBBBWWBBWBWWWBBBBBWBWBBWWBBWWWWWBBBWWWWBBWWBWBWWWBBWBWWWBBBBBWWBBBBWWWWWWBBWBBWWWBBWBWWWWWWBWBBWBW"

{53,71,0,24,71,69,32,39,87,91,11,55,93,33,88,10,76,77,32,42,95,20,82,28,46,84,96,92,58,51,43,85,0,77,39,52,53,35,88,35,93,7,16,54,51,83,29,34,43,84,24,27,55,22,57,87,9,18,99,88,84,70,15,26,93,55,98,7,85,57,0,63,64,33,66,10,26,19,14,22,9,51,65,45,76,98,46,82,10,11,64,33,72,76,57,33,66,94,17,63,95,51,50,98,65,22,70,79,1,10,51,97,26,53,77,76,98,81,5,26,53,28,9,61,25,86,50,4,31,11,87,37,38,53,56,50,22,24,19,46,42,60,57,64,96,84,74,39,94,81,97,54,66,78,64,48,90,66,12,66,81,87,76,5,50,16,28,58,43,76,33,94,27,54,31,7,97,76,1,68,18,3,64,24,1,17,16,7,39,28,42,37,16,62,89,62,82,47,54,41,70,73,19,87,47,52,56,73,25,94,47,86,88,74,34,39,33,60,60,18,34,88,71,94,16,9,17,49,16,9,22,81,89,0,46,56,19,95,33,91,89,29,37,29,4,49,0,70,1,29,19,73,63,21,57,48,60,21,47,98,37,2,24,20,73,66,33,56,63,46,13,79,18,59,73,64,16,85,13,67,59,63,88,51,85,61,77,36,74,59,52,13,2,73,30,16,80,39,58,18,79,84,88,57,61,18,60,69,30,75,32,17,10,30,3,98,45,73,8,22,31,53,11,82,84,30,13,48,76,87,50,43,56,90,82,92,51,37,25,36,46,79,13,82,82,49,16,32,47,56,78,43,69,67,21,72,13,91,83,71,83,16,94,39,23,96,45,55,19,57,42,57,63,52,40,88,97,47,77,91,95,61,4,82,72,33,60,76,88,80,50,36,20,49,97,91,71,62,55,75,52,27,73,59,63,59,28,68,80,19,69,44,77,84,50,14,79,61,51,17,9,34,21,88,11,51,89,95,95,85,49,0,30,74,34,99,46,39,82,25,86,43,70,44,40,30,77,83,14,38,54,52,20,3,71,40,82,38,63,1,78,79,15,48,36,96,1,53,77,41,63,97,24,27,10,5,62,3,95,32,49,6,54,90,61,84,20,3,37,64,97,75,16,25,74,48,15,1,93,63}

{76,32,11,87,75,37,48,32,54,65,13,0,41,98,65,7,93,63,47,70,46,55,55,18,27,25,49,56,53,59,43,43,6,83,37,91,8,14,28,27,44,62,14,96,23,24,10,54,34,78,47,91,41,91,52,64,90,86,24,76,66,3,41,55,99,97,77,46,79,35,21,89,88,52,39,35,74,30,17,39,30,93,56,75,78,36,25,64,77,30,82,86,58,64,56,68,51,22,19,0,40,19,75,22,36,5,42,2,56,77,88,72,63,42,40,2,3,33,76,7,69,86,40,70,16,0,14,52,11,41,84,49,27,93,50,38,3,29,46,39,76,21,2,34,29,25,64,95,47,36,13,80,51,30,72,11,14,81,15,86,35,37,20,33,70,66,46,67,67,0,27,41,0,76,86,21,24,46,58,4,54,72,36,43,22,37,82,57,91,33,41,15,35,45,90,18,16,66,59,43,26,44,31,92,19,69,7,68,62,63,3,60,71,48,84,89,48,10,13,73,36,30,92,60,66,22,40,38,71,77,39,60,20,68,46,66,70,16,23,75,1,55,58,32,55,39,58,3,65,20,68,41,74,17,60,42,62,34,1,97,17,18,7,12,5,40,22,27,16,48,27,84,49,27,35,53,43,63,67,50,29,22,96,42,52,97,88,25,68,35,12,79,17,24,43,88,35,59,51,7,17,66,20,39,98,33,3,23,22,40,33,67,41,84,99,22,49,92,57,52,4,5,1,43,62,76,61,54,14,51,17,68,34,47,59,63,51,37,5,24,43,71,35,68,68,80,72,74,40,47,14,91,54,27,28,40,8,89,99,90,65,96,65,8,82,33,89,60,75,45,18,2,43,70,54,85,17,96,70,55,13,3,28,30,23,82,83,79,51,98,24,89,79,3,50,60,36,36,26,35,44,30,12,19,57,95,77,52,77,37,97,65,12,89,62,61,32,50,8,67,21,71,98,45,12,87,23,42,24,12,15,12,51,15,73,19,53,81,32,20,38,85,41,90,4,67,84,23,79,34,79,8,91,91,31,14,35,66,53,98,86,39,40,75,41,74,0,59,71,26,42,83,44,67,56,21,49,90,99,98,12,11,54,19,41,33,20,36,14,38,55,45,32,81,74,69,28,19,3,31}

{5399261,12817929,5055006,68981980,8789,120478427,12817822,12692835,92154899,1846,179582926,721536,325030635,260569,455001715,11540973,331897284,11032248,13053044,7017023,44522692,109585482,6695260,7947975,123757,393445012,75779474,9224,12696933,75762311,62,792658,3532,36630,81879952,297205,5657782,828317825,455340352,836563,332149957,11545441,793607448,7440,446798927,23143602,528,1549201,857893,413795876,23434029,161818,6395301,58551634,1493225,87325542,795496,8286922,23171887,455254333,393447906,99370944,7119325,973757775,332139540,483567932,307686,11506796,96776,1895239,82889,11032619,459720007,344068,124469,698950,998394537,552050,828874061,58427939,792712,252202739,110,8220,20599575,870897,37683,2700914,120,5054518,2700926,46857,22127772,4893170,1454289,51936,79948350,549635866,695288,11030156,737926511,79395076,9084,58246192,563725,58553289,7017227,45532590,3454393,127,375054558,488060813,963449381,1366803,694183763,45286458,99678334,5362447,252741,986022143,49235339,338979,693390557,919887968,94745084,3723,829016810,299457,61796176,12154785,301404992,6225994,148049,326498185,215,15704,157167627,23180577,518682,159215,6765933,9036644,46730940,3589087,373,393445104,28631516,44363714,492092859,5971134,309751334,16371996,79948180,20361500,8497646,5055216,829014896,5408264,126349,1154,6106612,15149364,110056754,47016,1523,94748143,372491,18349668,890887,250226,116870,484737119,160052,245413,56756604,11611112,461111240,286299,14894636,7290,8279406,103150224,4581959,22481819,61250877,81862628,87329966,10344737,125526,385494,999327,82005312,94049957,4269,2038,8281924,87329904,254596,4192712,6403717,974481688,88307150,57295798,92153572,299622,43880963,11540505,88301716,1151,480817753,99624556,9108559,455001952,23913508,391892401,125598,47090,9108428,165869870,94710819,993079,455000715,8786,482741751,94748330,57759802,694041219,75763995,94748698,793940,58427872,14514406,110309431,2688,144,1186,552184,50260273,526699389,8987,3454381,724234,63656817,12817824,726333,75654181,18345983,99370982,3454379,110309162,557326,93526577,34945462,72546,10303026,7018307,9103669,1486199,3707801,484589000,81862617,37252352,34720948,110417313,88307146,694183204,58506669,163690,83716700,39422,174814823,393446250,67493173,4047853,87607874,933404,93857395,10933400,174977402,1284,4185024,68829198,455001647,86050414,198111,435606548,455002100,559941,23918326,4884382,408408,174966321,45396207,109604665,890788,490271089,15680329,4310754,98295732,19827058,140444,393447843,565307653,1328922,920195222,8333414,90263973,483162625,58552414,694175073,12846172,144097,7118944,393449909,99362442,58246061,75778877,88298117,1441139,58256210,56754505,5651960,8506423,6720584,393444087,253721,745357789,7243,828764199,171991216,143031,886655,1556765,255674,11604420,11023703,233,145,4307,22617076,852039,11667,174279320,7414154,7414296,59400429,90969345,36712262,693930471,253778,849224106,890175,43591160,162569,268363,690404228,174965159,1895,28465,1751,37177,94748984,491850379,131523,534090973,46964,905,8384709,561426,1453333,2183563,46731045,10333938,297419,694176747,455100961,484148773,253675,1257,724118,130489329,820517602,341071,7420529,522966357,7466067,9071538,250124,375054629,16686455,23180776,563705,110303424,25505441,484291733,9107027,563455,558855,973757867,690350,297317,162654,88180846,3633181,12228632,48674141,338410,292116,16378985,81452392,527865178,154,126054,393448782,5086,91011170,12806135,919888443,79941466,144228,863986,1556371,377638,455002408,4941273,171991064,526746113,38385827,21308928,210499,75779540,122711,79946166,23913324,87980693,560789,5685500,5532829,5399151,110305415,15846,792609,7117873,2125,694181981,249,393448431,526709232,829004806,1572121,5110,303149,110307648,99370973,56756337,1522314451,6720133,16738,5380889,3761244,20362476,122870,694183936,8838,6555621,23913250,3451521,9836887,144,967379384,4929355,484254916,23180636,162556,458,86542,75774844,99369261,44480512,13106669,75653322,5054721,193,554197,912785854,393495678,45,98807360,751982377,5129994,483567725,8335,81931017,5411329,250,43584099,338835,4006397,237110165,45724116}

Returns: {528, 3122, 35, 3454116, 1941, 45536818, 105, 99370950, 2106, 3, 11, 18, 939, 1, 11540427, 9, 9516, 3623, 793520, 43, 15, 319, 5053930, 1633, 118714, 7646, 223968, 174754330, 69996, 828946824, 98, 231, 29739758, 65009277, 21, 142954, 15, 8286528, 552527, 432, 1710, 110307664, 7900, 78319, 58174921, 378335, 526708819, 37222, 128, 23180431, 104, 4046, 92, 974481620, 150405, 13162, 41, 338752, 241, 81, 1074, 84, 6450, 56750040, 9403, 12808657, 46736, 104, 61, 1556504, 2, 699151, 61, 563648, 2555315, 79450031, 15671, 27, 2, 125410, 693810653, 373317, 8565, 7110710, 457652, 6560835, 96480, 795230, 2, 94, 21, 870, 36762, 3096, 253584, 1, 2, 434, 956870, 74822676, 8, 8, 79947140, 5, 27, 297048, 48, 5651806, 28, 7455, 3, 724001, 17, 1, 1325000, 129202, 2, 18348579, 4185103, 8, 730, 9107793, 213, 919888056, 1, 4936, 134, 11032470, 213587, 4931991, 2, 11, 7, 1020, 1077, 56, 87, 5274, 43583586, 6, 769, 767, 2, 430, 3779423, 389, 87365579, 941431, 23913156, 188, 7, 9010, 10, 252611, 3, 405, 20354626, 7817, 4721, 7316, 72, 16379288, 5408023, 929, 2, 7419258, 2, 36995, 62, 393448609, 108, 99226, 88, 71, 59247, 92103111, 455001550, 46, 1, 3, 49, 1985, 857, 933, 2, 9052, 234944561, 97205322, 5539, 491844703, 19, 44488994, 15, 92, 5061, 484286631, 307213, 50, 987, 9533 }
{9,2,58152317,426490803,188,3918767,93,87187866,449,1,278605295,9814,826,884839849,833,597510303,42798977,5,665,2408,734661,18027,61985382,6,373803,6702,9535439,570,42,273,550354887,1,861,1,21,831,4952135,9,1,154514470,623340272,1,37801174,1,751201271,1,8729,471876011,40770164,21741,267116762,1,747831,7329,1,963,4857324,4,1,1017,63309,1,2,249,22,80863939,6459,365580817,1,240413256,4369713,399341152,390788907,8787766,1,12167,7362,1,678908066,9949,4601889,7832,71262475,1,98191026,711829127,1,9958312,165154771,8858235,191,82601432,5848,1,92178,69,1,1,265416,9905443}

{79,276,58152331,426491060,191,3918787,97,87188193,584,22,278605303,10037,1132,884839858,844,597510339,42799104,67,1135,2410,734661,18043,61985414,172,373995,6741,9535466,573,53,541,550354907,86,930,21,156,1031,4952138,22,3,154514686,623340272,1,37801299,190,751201297,4,8731,471876213,40770175,21742,267117059,5,747831,7329,181,979,4857408,6,72,1024,63325,83,195,315,24,80864041,6505,365580829,95,240413397,4369739,399341218,390788930,8787767,6,12183,7544,5,678908098,9953,4601904,7832,71262493,36,98191051,711829160,15,9958332,165154774,8858235,224,82601615,5929,152,92199,70,99,10,265708,9905568}

{415995,1,1,1,274722,53741007,6049687,59851082,80519500,46,62880339,7485,7,6436,97,15854,1,60543632,74,323,1,1,35308,1,1,360731230,7,1,900448,554806,1,2470,495,88303439,367,65316,151,50,7181,877609,9038221,9511799,3432,593,1,6447925,83095,367,4127867,1,155735039,79904,810,642759,1,1,7,61427552,4,229,8075580,9461096,1,183,3020450,91,787832688,96424474,553284,1,478936526,31,1,2808297,31690,79881206,1,1,1,637035,397,1,714,1,832,9684,510,493207826,822,1,1,9764,1,948214133,52019475,49163,41536,4744,1,26}

{415997,24,3,144,274732,53741036,6049913,59851168,80519523,58,62880358,7491,62,6444,103,16013,116,60543653,110,468,2,248,35546,5,309,360731250,90,259,900459,554856,12,2565,604,88303447,503,65487,457,53,7329,877780,9038408,9511930,3525,597,197,6448063,83096,386,4127915,45,155735076,80004,822,642784,21,4,9,61427619,6,239,8075720,9461097,2,185,3020797,380,787832714,96424511,553326,69,478936681,148,4,2808342,31719,79881206,1,82,236,637108,665,78,724,5,851,9974,513,493207847,864,58,5,9817,6,948214258,52019477,49164,41804,4767,8,40}

"WWBWBWBWBBBBBWBWBBWBWWWWWWWBWBWWBBBWWWBWWWWWBWWBBWWBWBWWWWBBWBBWBBBBWWBWWWBWWWBBBBWBBWWWWWWWBWBBBWWB"

{75,49,70,30,93,80,74,82,17,93,44,72,4,51,52,18,30,79,26,42,74,40,1,37,82,11,73,75,68,68,20,96,56,1,96,48,41,81,56,13,75,23,96,26,56,14,29,39,7,65,84,39,62,62,33,68,33,46,9,42,77,91,87,25,65,57,74,8,44,65,46,45,59,18,14,97,89,65,75,86,9,15,42,60,41,7,78,92,96,13,31,41,71,85,50,0,59,27,26,71,85,38,79,29,6,84,65,25,64,31,16,94,39,23,91,16,74,6,77,5,64,16,36,19,43,6,38,29,19,80,70,18,5,79,13,38,78,66,62,65,24,31,56,34,61,78,37,32,40,14,16,90,72,61,52,60,27,72,4,32,23,65,73,6,91,54,72,90,85,25,29,71,0,34,32,4,47,46,43,7,74,38,80,63,29,15,91,29,38,31,72,9,90,94,26,33,89,1,56,45,49,30,30,93,73,2,34,30,54,53,74,16,51,43,32,64,49,57,80,73,64,56,16,57,36,20,97,33,51,63,34,52,53,97,1,69,72,58,84,79,97,29,2,85,38,25,57,9,49,7,48,79,74,24,90,72,66,76,25,86,81,56,36,91,97,28,54,0,59,35,42,43,32,5,60,32,45,95,51,34,96,23,43,71,80,35,24,29,95,78,2,61,7,76,87,27,87,68,79,40,0,9,28,36,91,36,82,13,17,75,2,28,58,96,5,15,78,44,2,67,66,87,96,77,63,89,94,90,86,93,6,24,69,30,38,49,42,15,63,55,87,32,31,21,63,43,75,30,44,75,8,24,71,12,61,33,11,78,93,7,20,93,42,7,57,54,0,28,77,4,76,79,31,15,94,91,0,66,16,4,79,19,66,17,32,17,49,89,82,79,39,77,81,91,18,41,3,81,41,62,76,99,64,5,33,5,1,85,87,55,11,32,9,28,27,98,45,80,90,35,49,88,30,60,31,51,82,6,2,44,45,32,19,54,26,18,21,48,99,47,80,82,66,91,34,7,68,55,14,26,25,16,78,12,79,68,52,47,53,22,23,3,95,0,20,74,42,38,19,16,64,51,80,67,82,47,74,76,43,61,39,3,16,82,83,3,98,29,76,91,93,13,52,73,53,90,45,20,15,66}

{28,46,86,6,69,53,14,79,47,46,94,95,4,65,47,19,46,54,9,2,23,79,82,19,48,34,95,57,84,84,63,31,10,35,50,1,43,26,19,79,93,74,19,44,32,29,23,4,57,6,89,31,92,33,54,23,98,10,4,55,17,4,59,3,7,59,54,86,50,83,47,3,92,27,45,23,22,4,46,24,43,81,37,67,28,41,83,90,6,89,93,21,49,22,46,20,76,96,21,21,72,46,31,47,91,43,7,41,69,99,23,3,86,65,74,6,21,10,51,83,29,45,39,4,10,71,81,78,78,94,99,2,4,93,73,29,64,54,91,83,0,82,6,6,41,4,48,39,91,18,58,59,43,52,38,15,46,92,89,44,57,76,25,97,35,36,20,30,53,8,0,94,68,67,53,31,56,58,86,21,25,46,73,72,9,41,59,46,86,61,8,33,58,59,11,0,68,19,44,84,78,99,58,35,74,30,34,24,73,56,65,76,70,93,50,45,17,75,90,28,85,5,75,78,37,46,72,18,39,38,43,25,4,28,25,94,80,89,91,96,10,89,13,38,29,48,45,92,87,21,87,69,36,82,80,33,73,35,31,30,0,62,97,52,20,93,47,42,12,16,71,42,86,85,1,59,13,16,15,78,28,94,84,20,29,20,21,4,53,23,32,69,21,16,16,69,50,72,22,35,7,34,64,6,75,58,58,3,53,38,59,19,56,11,2,47,94,46,70,23,75,84,40,87,44,11,27,77,7,73,89,64,0,76,22,67,18,53,76,10,98,92,5,25,38,41,58,62,47,72,74,2,76,87,28,54,81,91,19,59,10,51,54,51,99,11,27,6,32,37,62,21,33,9,80,3,78,23,34,46,6,11,15,80,56,99,10,82,81,87,93,22,84,55,63,27,20,78,26,10,49,83,16,93,44,75,86,60,4,52,76,83,72,65,57,49,31,85,96,85,4,71,11,60,65,39,74,44,48,94,11,51,15,20,12,7,34,7,31,72,24,51,65,68,82,58,42,49,21,39,7,17,85,69,71,33,50,72,87,42,11,0,91,58,70,92,92,29,2,81,59,79,96,94,21,26,61,75,40,27,87,62,99,79,76,0,59,67,82,91,20,93,60,69,82,77,1,12,88,92}

{78992879,96063,483305888,556404672,1188627209,5236948,32442,71888900,532419469,948139625,803128570,390838000,2,80943814,471128816,1875,550429264,647026,9535513,20354493,31706,631731525,71263204,2672,34619520,16928,11546842,18465770,98743488,98743488,734598,39112,336628229,66481,422810375,44898071,9511258,9527647,4855313,885460550,868344968,31705,43699,741665820,4856991,555065,555383,155117279,88764555,86913629,89333605,155389571,5901,88303446,88303444,553285,88568857,341393821,274859,37803740,60543652,82866394,503164907,787215556,66175246,61428402,31702,80519458,639819427,80864002,471950195,432939082,5105,285,6448802,4771,53162532,81138397,79801567,374315,588,597518474,37804660,453866407,8611396,137527479,678908053,5713,6008351,875988021,948211663,9529843,399319421,649869173,422760170,1150646,6636,42186,9517425,399323163,321050224,84495,644402,472430151,88641623,98191231,66175245,351226156,243433989,9907948,42799015,478418323,155391685,80864028,82623552,48848794,49744,335435679,79969,57659769,2466451,49247081,150439708,276629,341484997,405390880,15137,679462406,678905999,56528788,484472367,58151610,57384884,947586864,878853958,548063,681928852,787839162,82611374,80864003,789789,71264271,10907172,6049578,50787,679182623,44898017,155390799,549767175,83,42799023,1057,390789449,10208026,754341,605506622,91251,390783012,9132740,751200867,61427615,80856606,366703993,6045201,82656337,4952488,390054247,550354710,712454647,280217988,139386,451268405,137292,462004927,648716,272291,467019184,91816,134,147021234,360706255,84498,6993757,390788843,555333,607006129,82610127,479958,6818,9458553,471307976,88303384,191,52110405,9533117,87887455,9411476,2725,746343875,104638265,678886385,540449456,550354899,948149505,11564373,492202582,1,549981099,11596071,5492856,80895552,42791595,483226433,948213644,422850593,3427288,60565339,18465771,4602121,10695565,714839964,54679665,122668045,740335692,4952428,809027,390793670,88304152,155312230,7392,260,361471544,375198,895744,360737950,292340515,386187416,8858265,15598359,605413,341480880,9412520,826693975,711831802,548060,397366779,54979559,5956,503144373,147021236,519891746,241040347,4983484,70889410,4602121,479092348,793805680,71916,360735331,550355411,423795,4857410,4956547,81862730,739427,947313783,471876600,38213815,380,42863510,361543280,37804074,918,761641456,8138904,386,891281480,42848116,597574290,678908430,858895,52111649,98191233,398606542,5155815,799149,355761,280473,600880,678908075,58151910,249874231,147021235,42791595,526048515,240412776,594631339,391342187,62577147,632312065,146623277,332,2120369,11001556,162460874,4952477,71263203,458355271,59908189,79886060,58151526,902489,4857407,43952,107974584,125649728,730835380,751275637,532719242,462005310,707957193,581439703,632336933,503166159,751201210,8855859,52111087,197,147038767,954193454,14907972,3394575,240829204,550347472,62013477,461983531,37803862,598129786,7366,341484663,502900728,5491,57657174,360742572,7394,9511259,79893378,550354893,279325446,470657931,80488270,57778515,399333775,503165286,8560669,88303443,9464,596316234,948216076,147038028,340750983,948134322,37804718,146959309,71333052,17316,416560,5149460,1399,274858,7426,645174,88300941,597526270,56528788,343899175,679324068,787839155,42799370,200175,5422647,14589,1385320548,65145134,4856991,70449086,341463859,62404939,71255358,502519134,1101850954,62020806,98184025,82610400,649,9512369,425756366,678900272,19047252,341485639,14357,9905486,45819793,898391724,839504713,30046761,519,719831482,502891244,747673,9890,1366,390788965,81764259,61428181,243721,6445558,707236815,41804,711883677,296237,234187196,550352560,1,80866357,155312230,71293467,757251047,21510071,803128571,6450397,80369,597523595,734660,9534598,147038421,18389,102141202,9907946,81087692,4228516,71341727,868690071,83145128,71262823,147039267,38351105,20809,17303,145856729,388061474,103342664,32931048,240412471,399968235,87750163,422103344,81087694,502516045,24216086,17312,426907011,82640946,415996,482571740,37597,37798816,548063,58150234,42791213,3021564,567059,4643105,409893658,71245171,462341132,9429479,79885960,632377904,9461585,636886458,426491022,32893579,71888898,7398,426907013,264626,461449929,71255782,3,948948653,1833047412,8759307,234433757,71897224,194,6448067,733803,432370692,787833256}

Returns: {22, 415996, 34, 24, 58152317, 2, 426490907, 117, 191, 274728, 3918767, 53741035, 97, 6049860, 87188063, 59851125, 467, 80519500, 21, 56, 278605295, 62880340, 9818, 7485, 994, 35, 884839849, 6443, 836, 99, 597510303, 15977, 42798977, 10, 25, 60543632, 824, 110, 2409, 328, 734661, 1, 18043, 3, 61985382, 35380, 13, 5, 373803, 3, 6706, 360731230, 9535460, 10, 572, 127, 53, 900457, 521, 554842, 550354887, 11, 71, 2565, 906, 497, 20, 88303439, 32, 377, 972, 65458, 4952135, 345, 21, 53, 3, 7328, 154514470, 877610, 623340272, 9038222, 1, 9511799, 37801271, 3433, 56, 596, 751201273, 8, 4, 6448056, 8731, 83095, 471876190, 367, 40770164, 4127915, 21741, 43, 267116906, 155735064, 3, 79962, 747831, 821, 7329, 642782, 16, 16, 978, 4, 4857400, 8, 6, 61427612, 23, 6, 1024, 231, 63325, 8075581, 81, 9461096, 29, 2, 251, 185, 22, 3020787, 80863939, 92, 6473, 787832688, 365580817, 96424474, 18, 553284, 240413257, 69, 4369727, 478936590, 399341152, 40, 390788907, 1, 8787766, 2808304, 5, 31696, 12182, 79881206, 7429, 1, 5, 5, 678908066, 25, 9951, 637072, 4601904, 413, 7832, 29, 71262475, 723, 36, 5, 98191026, 851, 711829127, 9955, 5, 513, 9958330, 493207826, 165154773, 845, 8858235, 57, 199, 5, 82601589, 9773, 5901, 6, 151, 948214133, 92183, 52019476, 70, 49163, 65, 41580, 10, 4758, 265420, 8, 9905459, 28 }
{1929,1,2051,1,6570,1420,9316,789814,832786986,3674069,117095294,7826,25,798,89440108,276362,1,256,1731,2909,102716,41,286803,803337,3862542,41676,746951,1721194,82072,829,916299,922,1,716094,92,1,884,1,98,1,1,1,8979097,796195,21520,90820348,1,1155,60140151,3117,1,420718969,1,856,185944933,1,1,7901,1,6,6655210,1,1,1,63552570,4,341,1,1,14,97213,119693447,1,276114,39135,59054864,2724869,7088158,1,1,1,44,1,320245,40,1,450,2889,40998235,6824051,8,528,1,50,72977863,1,525,64,8,5834307}

{1931,112,2232,4,6577,1441,9500,789842,832787097,3674183,117095403,7829,35,860,89440110,276764,15,519,1769,2911,103025,116,286867,803445,3862728,41685,747321,1721200,82214,840,916311,977,32,716474,130,4,1018,1,99,1,4,1,8979166,796456,21566,90820351,2,1167,60140216,3140,7,420719218,10,869,185945044,297,39,7945,22,19,6655520,45,11,12,63552620,266,352,1,6,238,97226,119693818,31,276600,39142,59054869,2725305,7088175,146,18,3,49,10,320609,47,4,568,3000,40998255,6824055,11,565,14,54,72977896,29,594,75,13,5834341}

{42,1,1,1,8,6114981,587,4172,6,639009160,1,19,1,3518766,89851,1,472315378,1,815950705,27374476,8,7154600,1,1,907922110,500,94,9113506,73870,34245,3,78824137,926,80616670,173,9672836,150885,11532177,1,943,222686,15,8009,8,81295,350776630,1,397,7802102,85190,9933683,29456,822827,6,77744854,1,117,45316233,1,711699381,1,4351062,144373,2873601,1,7,290224,3323,1,3111,66,867937531,76274,1,16,46,67960,96,9337404,1,185,1,1,3,30739,55374,255084068,84724782,5,22691,534,22199,67249,54037,75492563,45,288482,683236,1,95}

{86,124,5,3,22,6114981,598,4215,16,639009162,7,69,32,3518767,90301,9,472315437,7,815950728,27374500,14,7154632,2,30,907922121,598,99,9113509,73885,34250,36,78824259,939,80616715,192,9672967,150911,11532241,5,976,222686,48,8022,31,81411,350776671,3,398,7802106,85260,9933705,29475,822836,168,77744911,1,439,45316347,3,711699388,55,4351066,144382,2873821,3,16,290225,3399,1,3139,76,867937573,76367,144,38,184,67989,260,9337453,28,188,37,3,14,31286,55376,255084069,84724848,13,22710,536,22233,67358,54179,75492809,48,288648,683240,2,96}

"BWWBWWWWBBWBWWBWWBWBWWBBWBBWWWBBBBBWBWWWBWWWBWWBWWWBWBWWWWWBWBWBBWBWWWBBWWBWWWBBWBBBWBBBWWWBBBBWWBBB"

{74,88,8,9,62,2,31,78,49,16,75,0,69,67,90,28,19,58,73,84,14,91,45,8,30,86,9,18,84,81,64,54,77,15,60,59,51,62,11,47,74,56,93,69,69,7,46,55,0,86,28,79,80,55,30,50,17,53,55,79,13,15,43,96,12,45,17,27,37,87,41,38,64,2,34,90,26,34,42,18,24,54,92,55,52,18,83,88,64,6,12,56,0,2,88,59,2,6,44,72,84,64,72,61,75,21,17,72,29,60,26,12,0,40,10,45,36,6,8,81,69,59,93,92,1,56,84,73,0,82,32,65,60,56,85,22,61,29,85,18,6,1,11,82,43,39,85,34,52,65,13,8,45,76,90,22,64,60,23,76,9,57,75,0,62,64,1,55,42,77,1,18,9,51,55,30,89,4,34,43,88,11,4,34,77,20,5,53,45,94,7,38,66,14,7,90,21,63,68,73,34,35,54,43,10,4,65,45,9,28,48,96,97,65,88,74,24,18,0,7,73,79,16,50,68,29,87,7,58,80,98,7,46,31,44,15,51,47,52,40,1,62,10,56,58,57,48,16,13,3,3,42,88,32,40,85,37,87,71,4,16,57,83,40,78,59,98,64,60,31,22,34,64,85,92,84,93,28,26,66,53,27,58,87,51,38,83,50,66,82,19,68,30,89,51,56,50,65,74,62,23,78,1,52,6,47,54,29,32,41,28,74,60,73,47,29,88,96,91,60,89,8,67,81,1,34,87,66,52,61,92,25,63,39,93,92,85,55,98,4,10,56,73,84,9,84,96,6,87,65,62,6,76,43,49,41,26,88,50,53,10,94,82,90,59,77,16,87,49,25,66,28,22,77,45,99,33,38,31,66,87,92,71,44,57,83,82,65,66,86,40,84,71,34,57,79,17,57,63,98,44,52,22,63,89,48,47,29,0,9,78,76,50,88,86,92,99,61,60,54,11,94,37,21,98,36,18,49,67,35,93,79,4,10,96,76,86,71,66,29,39,37,9,9,63,65,37,84,91,97,79,52,70,81,30,80,98,26,97,64,42,58,6,31,44,78,43,32,67,59,71,97,34,34,36,30,14,25,94,82,94,87,43,46,72,49,65,6,59,45,14,1,66,54,91,40,84,37,25,84}

{62,79,44,66,44,89,49,4,1,54,99,49,59,31,17,3,53,54,53,93,20,37,67,34,36,88,31,14,21,10,57,94,82,96,15,59,34,2,44,58,54,45,4,29,54,78,13,2,63,4,2,30,10,11,82,12,27,39,6,24,53,58,11,39,98,93,7,67,29,72,11,31,47,41,22,97,47,9,95,7,81,10,14,47,42,89,80,45,90,64,55,15,46,27,35,72,69,69,88,21,97,51,53,27,4,42,46,9,95,89,20,14,14,72,23,81,26,69,68,16,18,0,41,44,89,58,91,54,70,30,8,97,47,13,21,56,68,21,86,93,84,90,57,23,36,96,81,93,13,58,80,91,60,16,91,55,82,80,34,7,82,63,7,6,51,82,85,47,68,14,22,6,26,90,20,28,13,66,15,67,84,52,79,67,26,96,17,83,38,59,97,88,13,5,86,54,61,87,19,73,28,81,94,54,92,17,91,16,35,80,84,62,91,70,83,58,37,81,69,41,91,97,35,82,84,52,63,76,35,57,71,76,86,25,68,57,55,62,31,69,61,12,77,28,23,5,15,61,8,16,21,92,73,95,41,88,12,71,10,24,77,57,11,24,56,73,99,30,46,80,8,42,46,40,41,2,1,88,65,56,6,30,72,85,2,64,60,84,21,6,33,67,60,48,81,53,15,42,65,39,34,40,54,99,92,91,46,41,42,94,91,80,23,22,99,87,66,64,44,26,15,71,48,51,89,3,73,1,11,5,34,82,52,80,7,21,65,94,71,23,40,19,68,59,50,12,9,86,74,57,0,92,16,47,27,86,32,88,53,39,37,56,78,23,20,25,81,54,32,80,33,80,68,90,62,80,95,82,3,46,68,98,44,26,80,90,67,44,23,29,95,71,65,89,55,55,20,20,0,11,41,46,17,74,78,14,37,88,18,21,57,6,42,72,65,36,39,2,72,54,45,7,33,92,40,32,72,78,19,67,5,16,56,26,22,53,82,60,12,60,84,29,68,12,99,23,63,47,7,0,69,28,5,29,85,79,93,14,58,84,12,94,5,54,71,95,58,83,51,77,47,62,14,52,15,52,43,43,85,60,63,65,13,98,89,22,59,59,64,84,21,51,47,55,19,93,65,35,57,49}

{183472,40998258,832846761,642392694,84609,6844650,78741181,9343995,88369,580515504,53220548,86401,711696285,78821834,1036,156047,27376512,263689860,275399,23119,89427059,11510597,441593661,832787095,1066308,296081836,563858095,905299097,7123739,117095354,108860947,115219192,7088413,564318,6378915,1,420748398,146467,94947,1560,263650689,441596829,60553,31931,263686716,10123032,3519623,2089,2875704,255090155,153956,916310,117095584,7875,916306,9933733,10834181,1813,9901,911784735,3518770,276375,788620,288069,28,441542906,793512,10831366,11498822,84651359,7861,78825069,63551816,2111,286961,682768,746092,642682978,8987059,816734542,911784694,146594463,89462779,1556,9793915,822750302,320429,400598734,63553111,63543855,31,276468,1972,10832608,50671211,711623020,5182,11818,41058012,7078334,652339,357196099,77217,6483596,59048373,16125600,520,642606888,35028,191454,644050,89530023,89528086,146329,116291957,441596949,896860,11818,832787006,472315481,815949329,711701261,54072,35547,6846739,166,9247,263413590,95314,916306,832787920,683292,6654418,3519457,7099333,286956,4351102,7121095,255029172,815898383,39618,539,45316373,803435,946393,288068,55420,53888,2696794,18,3519436,832808639,434941706,474972772,22213,286857,63552577,6655370,803541,1999228,642683255,42450433,58269183,7933,420834110,63552576,55372,1556,8987101,82441638,286865,815957669,641936215,420748140,102994,908028,10319271,296448,276473,799727,41029136,830600,6578,3235,6341374,390924,6115881,319382,441596897,709184443,1468770,40998163,3229056,95463718,255869192,263689319,2803604,81853915,27377379,1,155765,9673009,115219191,262893453,117162664,6061,22738,212359143,633010298,155863,67911284,144643,661524,97268,40678011,39171,900252498,815952427,4976,794013,297899,683306,462642473,9933705,30967,789409,81853915,1999228,9672965,45324067,987631050,1999228,255084547,78864502,102822,45584738,420748677,145141,78002339,219595,4351102,144409,110007490,155883,803442,39207853,67665880,467964417,836304904,472315436,7154707,9038354,40721991,880,222668,41053622,11532274,902903325,870535659,911778159,479403344,0,312471,911562054,9337335,711975632,5834421,62636277,6655289,78824982,832500149,8986821,63552583,167310,67262,32983,54085,40989966,747029,290401,9034,9918388,76375,84672358,420746589,63552485,6335039,9902809,6864632,9897,53955571,3339,5738976,61095513,420748636,956,10210073,8987086,39153,143426,803540,9114744,263689857,6657064,75994,22411,263689861,35056,8986179,148470651,133293,39284,5851847,10606,5833470,84692659,41288128,63840528,80071,5908325,6570368,1581030999,67938921,420748637,6846738,283,84998214,290564,830599,1765296,67166,42173,2050993,766,839590,7087430,55363,148470666,987631050,796876,117318083,27377218,276266,711668485,632749563,30936,642394241,255092318,84761054,45324234,146259,75994,474972772,795626,10746329,255084529,747784,0,9934559,1814,128627638,148470503,9337436,803969,711802355,7046728,472315482,192922026,87448,41994,81042386,155863,286858,7088436,441452617,5834424,81332907,92,78825167,290568,84727730,67273,987528233,806625,45324067,320771,3341,102807,1093323,255050171,222639,987600087,987631039,6846459,45324249,8,102480,45411345,2875705,7872,102808,822829,286355,2912917,16138791,37012111,11533008,41031664,815950826,635528553,35986824,2783354,18904786,41074603,255084529,84539,5835190,4353112,6731541,1,441589115,147676640,69800713,7087429,222693,150892,815876098,9255289,27374050,9669630,6062311,472315433,6660,116348540,574806,2792387,255084541,980975770,290533,6688603,30019,11498823,642683257,642683228,8708056,803454,8658421,31657,807245,685053,3142,831107,6210707,35030,971683,183,54083,88783010,683310,63583473,8987070,148470670,6122289,187023390,987528233,9337383,796408,321169,420745348,718787283,987629498,538932,89529775,822727,426376,1739133,88733649,755212,148415294,6655281,145596850,84727716,4314301,8,6877719,369001,711699370,711708104,775251959,441566025,96504670,420748677,290649,263689857,27354629,168699,30952,1859276,45349545,57403}

Returns: {1929, 46, 72, 76, 2090, 4, 4, 3, 6570, 14, 1421, 6114981, 9316, 590, 789814, 4214, 832786986, 9, 3674069, 639009160, 117095375, 7, 7826, 55, 25, 11, 858, 3518766, 89440108, 89951, 276379, 7, 3, 472315379, 517, 6, 1765, 815950705, 2909, 27374476, 102989, 11, 101, 7154601, 286845, 2, 803433, 10, 3862566, 907922110, 41680, 501, 746953, 96, 1721194, 9113506, 82142, 73870, 829, 34249, 916303, 12, 951, 78824206, 5, 926, 716221, 80616670, 93, 192, 4, 9672948, 916, 150885, 1, 11532177, 99, 3, 1, 953, 3, 222686, 1, 25, 8979097, 8009, 796400, 20, 21531, 81296, 90820348, 350776630, 2, 2, 1164, 397, 60140152, 7802102, 3140, 85232, 7, 9933683, 420719094, 29465, 5, 822827, 866, 15, 185944933, 77744855, 5, 1, 39, 131, 7945, 45316233, 9, 3, 8, 711699381, 6655235, 55, 43, 4351064, 3, 144373, 12, 2873797, 63552570, 3, 6, 16, 345, 290224, 1, 3335, 5, 1, 32, 3122, 97217, 70, 119693510, 867937531, 11, 76367, 276253, 15, 39135, 38, 59054864, 92, 2725087, 67975, 7088163, 259, 27, 9337404, 5, 8, 1, 187, 46, 9, 10, 3, 320245, 14, 42, 30930, 3, 55376, 482, 255084069, 2913, 84724806, 40998235, 13, 6824051, 22691, 11, 535, 558, 22199, 12, 67271, 52, 54039, 72977863, 75492796, 4, 48, 536, 288482, 71, 683236, 9, 2, 5834320, 95 }
{1,1,48638705,180799,2,34672114,99914779,1,905,416072718,1693,1,7021354,389,8131,581,5970106,1907839,14625760,127822,1,9,219890,54,310,61662381,91289246,812,80,78,9555,1,1,839339161,404,438654,1,797,31335,754691891,25779874,8,756886509,18,676524,2,2665690,2078,1,402693,305,1,614498239,1,4556135,32293,33,47811589,1,1,6063,882981,75094,413407540,58517697,59051,57019,47504,923,460814448,1,5,8594,2466925,1,12393568,39956492,6412,1616446,781858,587046,99602,5,30172579,59932,1,1,806016,1,37278079,1,1,253962596,2009,93631753,414098,923757,7792073,351420,56}

{251,48,48638743,180959,4,34672306,99914795,2,1356,416072725,1694,25,7021359,398,8145,582,5970343,1907861,14625763,127884,4,80,220198,62,312,61662411,91289246,818,88,81,9600,68,244,839339347,961,438656,1,1002,31591,754691902,25780187,8,756886518,29,676797,325,2665692,2450,42,402851,343,12,614498246,22,4556160,32297,47,47811591,3,2,6066,883305,75098,413407677,58517702,59053,57020,47585,941,460814477,10,18,8611,2466953,20,12393583,39956500,6615,1616560,781868,587062,99658,82,30172955,59947,4,163,806064,7,37278092,3,308,253962597,2145,93631759,414465,923823,7792232,351506,65}

{99825,1,1,60709496,879312193,60563735,54561,3247,2,166,1,2406,70213816,21620,5932371,92,67004596,29552523,9409,66,86339,149,1,78846235,519355384,7759024,1,3068562,333,79,1020,802,720,47424,463,9713,916240784,2997890,491207,9250,1,354,1154509,9667507,632134208,1,7877,1,32285,105468144,361539,57859,1,47721817,4208926,154697,1,3392385,17366970,6595461,482,2,8508795,1,5,841,849718710,1,1,7469842,89,66349949,61512,369668,1,1,1,11220523,31409439,929826,2686,794,1,1,89724386,1,5260,70,69,3,131179356,778446,1,957833,1,1,99449779,63457947,209476,4400960}

{99826,179,16,60709516,879312207,60563738,54562,3266,235,183,112,2537,70213828,21666,5932422,97,67004957,29552665,9420,209,86480,153,9,78846244,519355683,7759027,14,3068571,399,110,1256,845,723,47435,488,9723,916240909,2997892,491245,9267,48,427,1154557,9667528,632134211,349,7891,107,32434,105468145,361586,57879,413,47721828,4208991,154712,45,3392393,17366970,6595479,696,32,8508822,23,8,987,849718711,69,31,7469990,94,66349969,61762,369689,408,59,172,11220546,31409476,929910,2690,807,406,167,89724436,1,5322,80,97,6,131179368,778562,174,957834,2,15,99449792,63457952,209478,4401128}

"WBWWWBBWBBWBWWWBWWBBBWWWBBWBBWBWWWWBBBBWBBBBWBBBWWBBBBBWBWBBBWBWWBBBWBBBWBWBBWWWWBWWWWWWBWBWWBBBWBBB"

{62,66,78,27,72,11,24,29,0,67,48,47,45,39,19,29,56,18,42,63,4,87,25,58,50,95,96,15,28,23,55,15,94,84,95,22,95,47,7,30,89,4,64,52,97,54,42,32,93,66,6,60,87,19,57,30,55,94,80,34,58,67,8,64,93,40,97,14,71,37,1,79,1,85,13,61,31,34,5,54,31,81,49,32,93,22,59,41,84,91,2,64,16,91,88,72,11,57,81,63,71,45,22,13,71,50,94,10,74,51,83,98,85,28,18,65,8,43,73,65,81,7,15,70,43,53,74,22,11,90,8,49,82,88,39,1,65,0,6,98,35,30,18,38,63,82,61,96,64,2,82,35,43,20,59,31,71,1,39,76,87,55,37,29,61,97,26,74,78,65,24,51,30,18,7,9,93,41,57,94,82,27,21,69,97,58,46,42,31,19,92,44,87,44,11,14,19,12,94,95,14,53,47,54,7,16,53,51,49,72,32,93,70,8,13,75,79,17,76,53,42,65,59,48,70,1,44,53,73,55,32,91,44,63,29,89,7,29,88,52,5,35,99,1,11,12,75,33,36,72,88,85,78,39,25,19,50,89,97,91,24,5,97,70,28,79,83,48,50,56,35,20,92,83,86,51,88,69,35,77,21,26,42,41,86,28,17,60,30,64,5,27,25,57,46,72,91,96,69,83,8,52,57,35,18,24,94,10,6,39,44,49,15,13,77,93,36,22,86,67,6,57,59,55,15,77,56,26,37,47,40,70,47,50,6,98,99,50,77,77,3,22,84,95,66,71,77,47,20,92,35,18,40,51,28,34,49,28,90,62,50,79,27,24,60,56,75,86,21,39,65,21,28,63,26,86,37,62,90,46,33,90,59,71,66,20,21,70,31,74,40,62,30,71,4,50,80,18,55,5,86,46,58,76,51,91,65,87,52,70,3,33,42,26,54,95,20,5,28,43,89,79,77,46,78,96,57,8,55,70,66,84,97,25,98,1,68,84,91,84,98,28,43,47,27,20,68,83,75,87,73,52,11,55,52,35,25,94,97,17,28,37,67,29,7,33,32,96,98,26,98,2,6,69,82,80,33,5,23,10,21,37,42,25,40,15,56,74,83,92,51,41,96,94,55,5,48,49,35,22}

{54,29,30,15,91,35,24,84,46,79,89,59,44,57,78,57,91,40,57,30,1,41,92,24,78,11,22,50,16,67,58,15,75,81,32,76,64,46,81,34,5,59,99,78,88,81,26,76,63,44,81,69,56,76,70,65,2,55,61,12,20,19,73,54,73,68,83,59,98,63,26,89,96,18,22,40,85,44,10,88,68,27,43,22,84,81,3,31,46,76,48,53,4,10,40,33,74,61,47,92,41,84,94,2,52,75,35,38,89,41,29,48,27,0,70,88,15,96,39,1,86,89,25,2,75,5,48,19,53,17,56,28,77,35,98,43,19,87,35,60,35,24,20,67,40,26,50,92,51,32,14,88,79,93,89,60,88,39,54,72,49,62,11,38,5,8,28,80,1,25,8,60,36,8,56,17,52,14,78,88,76,79,31,16,58,3,37,6,32,38,87,33,73,13,12,69,46,87,98,39,57,62,66,65,52,27,58,67,52,46,76,83,72,85,20,57,49,37,86,59,87,28,33,44,23,38,29,41,65,16,7,75,56,30,90,17,65,30,96,29,1,70,77,29,58,3,70,23,60,68,50,71,57,59,53,77,66,25,13,60,69,45,91,18,90,60,13,32,88,12,98,1,44,91,76,13,68,64,92,4,69,58,36,20,37,17,17,27,6,85,30,34,85,63,67,7,56,58,56,78,72,48,3,73,49,60,16,17,33,11,18,96,59,32,58,99,63,23,3,35,60,77,31,75,66,48,23,45,96,63,21,57,35,80,37,64,6,27,39,58,52,12,24,5,42,50,6,13,84,57,88,63,44,8,60,31,29,9,50,92,28,50,87,17,70,98,76,83,59,70,40,82,56,20,83,93,69,40,99,93,85,33,86,41,22,98,80,30,54,38,68,22,14,23,91,15,96,25,55,74,94,68,46,73,66,24,58,14,63,13,52,35,17,0,31,49,15,50,79,25,98,49,16,22,90,24,23,68,6,79,43,75,74,23,32,72,34,31,37,30,88,39,81,5,88,40,8,57,77,67,34,14,36,74,86,20,89,55,57,14,90,56,19,94,46,8,78,65,67,41,83,83,17,73,52,69,14,55,85,64,46,17,13,41,80,78,85,81,74,40,19,6,3,53,25,85,43,87,73,60}

{8780912,849775572,33015315,3068703,725631,445959,0,89784176,2757638,1664185,37310366,6597653,632810994,710263423,32897858,51203817,778593,11163595,711312780,413399013,879312237,806363,200059210,501988726,32663980,416851,100153611,361737,72974244,78893689,17244567,0,81238195,89763263,415166,39736558,58103252,2671291,102059,9282,63169515,872716719,62918766,644291253,71249950,8664669,666751783,39957220,414363375,218204267,99868934,468277737,806061,39828814,51203874,49656,48761114,93754156,298912,77233871,17280501,80537,2835682,58170485,3053074,25779044,85838553,671232,66491954,416404447,91289208,37426042,100373519,14635179,241216,24896717,869,632809690,95234339,8764974,1628,3166543,96203470,220662,88824488,121148,54294956,436,92322281,40735057,48670998,106239522,818277683,780247,25780027,839344674,2409,50320693,98132,159444966,66349526,89784332,93411814,48659989,680848188,12754811,93202819,521104,37278079,57443,30172709,528675,3069377,99511,14635081,59804,421,90706041,752585371,59861,104115,37281347,69420759,48638795,22061051,47514211,32289,92258,47719421,103534553,877,105870509,11226894,448273,754540618,9667535,69486,905769,99520969,554381,0,519363622,14702811,507185,387627619,91289197,1244521,352488611,58575557,48639435,5940449,448273,9519530,873373,43873555,6281,66349856,754701112,754335416,40009428,105871238,8396901,2996472,522644,94352756,71249141,91289551,589720,33025855,69361529,519355986,63409,916249381,14634268,3299,443717357,615454062,5940071,74212215,93631845,39956444,2919787,688,514379139,53883081,43523459,5654705,658071694,147,587363,253156653,1470749171,2030498,632788943,77232759,462343811,2545522,76429079,93489746,754286692,50343446,39288124,849773452,8705171,614501507,69905349,30354859,105368,719563537,2710742,39957220,31128525,70015,912,65193,38810396,104917334,28461631,39961820,41126353,757234939,59422,845887219,632778711,78846205,522754,632810839,47721407,2776688,72787734,2544,13172120,632810959,413399014,131179354,64922885,61464,10429,100373464,614498246,95235991,448274,6825772,112,17364562,16344745,12393643,918137929,916246384,69160,361820,66349954,74212214,761278100,101625212,11341779,849413807,32143343,71228000,784106,972699709,95236034,70471494,14635081,131179042,1705114,30193981,31564,361820,77235140,286929,86513,885420020,30951265,39961820,36588,984,409766611,253533659,868098099,468284136,108656205,1671972821,86048,2993567,31460035,1,3073295,99958757,58517705,95225451,3068124,69421433,368988352,2626058,66848,778593,83006594,468284280,59965716,69204,614530527,104947802,2388221,119681638,519360627,154666266,31458823,739431527,754698741,646073767,6539281,6595960,21330,6152874,3445251,1329648393,79066125,60885110,400866,99962763,55633298,6594740,12515962,849775053,11194667,78846269,91289252,97374678,413405377,25780057,51203874,446098,945610,102857111,58375688,104261289,2707457,765896720,6152873,675026842,77015221,429690612,94821570,1605393674,65988697,111074313,23454,89697860,209543392,448272,398791214,657237361,58768,6097,1110,105870836,416072868,130818107,262396297,361439,1349771,3873691,491710278,6480,560924,27562938,30178026,6595354,754701058,25721739,176,449,413494023,61116546,954525,465285428,34213638,126778286,3613633,839386592,970471101,6590155,66349526,849881633,474486,589554,10486,8764208,522785,25779044,8653643,5932786,12496351,878533637,361736,99783831,54786254,0,95236022,93637076,2672611,20024781,37859244,849717867,518577139,17425167,6730187,201090687,21954,675026841,838938219,783376786,91389062,8764208,105479740,86955,94874115,1711210,63570876,37136073,104917334,61747776,2453611,101386346,420829066,123265386,43,99982620,1711594,840108205,102058030,71250038,132749569,560237,70070,519,89783464,2220329,89773747,560858,754700673,9766285,95233761,3069277,25866405,43,21031267,23607655,758589,2835290,620422486,916238433,186979,614503563,515405,32143344,93754155,100085052,25520015,131179043,2998852,80536,93631758,2670299,839385682,33025179,100313660,513453,91289657,30030697,18466025,127505021,465447722,614498189,467694582,845215989,95049044,78846305,58516009,2673386,28461631,758018984,69421000,25195578,33025226,35,100393,30172703,228182659,185546,99968909,39483135,141353581,69234441,95236035,9635240,105871238,2388220,214396}

Returns: {126, 99826, 48, 23, 48638706, 16, 180915, 60709511, 3, 879312193, 34672294, 60563735, 99914780, 54561, 2, 3266, 905, 10, 416072718, 183, 1694, 8, 17, 2424, 7021354, 70213816, 390, 21666, 8132, 5932374, 582, 97, 5970106, 67004614, 1907852, 29552652, 14625760, 9419, 127871, 188, 4, 86471, 33, 153, 219948, 8, 61, 78846235, 312, 519355385, 61662395, 7759024, 91289246, 14, 815, 3068562, 88, 399, 81, 87, 9566, 1023, 68, 802, 3, 723, 839339161, 47425, 851, 475, 438655, 9720, 1, 916240784, 1001, 2997890, 31590, 491207, 754691891, 9267, 25779959, 38, 8, 427, 756886509, 1154526, 22, 9667507, 676782, 632134208, 160, 167, 2665690, 7877, 2260, 85, 5, 32285, 402849, 105468145, 338, 361585, 8, 57859, 614498240, 23, 2, 47721817, 4556140, 4208927, 32297, 154697, 33, 6, 47811590, 3392386, 3, 17366970, 2, 6595475, 6064, 519, 883305, 31, 75098, 8508795, 413407554, 22, 58517697, 7, 59053, 854, 57019, 849718710, 47514, 69, 925, 31, 460814449, 7469852, 10, 93, 7, 66349950, 8594, 61518, 2466925, 369670, 20, 18, 12393583, 26, 39956492, 9, 6431, 11220525, 1616446, 31409454, 781858, 929826, 587051, 2689, 99602, 807, 82, 34, 30172713, 27, 59933, 89724395, 3, 1, 4, 5322, 806021, 79, 7, 96, 37278080, 6, 3, 131179356, 8, 778562, 253962596, 30, 2014, 957833, 93631753, 2, 414453, 14, 923758, 99449788, 7792101, 63457948, 351484, 209477, 60, 4401127 }
{58041,1,79891227,1,1,180,1,25,351,174436,13805564,1,7943055,4491,58332463,9330,3558931,92431232,439162637,1,209,714,303688,41463,83088094,92175,84079,975790,670,746699938,150753,1,272,66699,51152,1,186243,9,66,1598004,917028,83031758,3514571,24,49285,256,1,1,9442,62403229,4,792744,1,722157662,87,1,7796,27,1,779843,1,19864,6487,904606319,1,1,1,7718839,698140,1,31,21941,1,276665201,652,1,1,65793,95,6598042,65249483,418,1,1654,665,9635784,775084,745781904,2539,1,1306,5,576,7067,1,818164886,8264,56823,96,1}

{58373,23,79891251,169,20,189,10,176,354,174453,13805566,11,7943064,4642,58332765,9670,3559009,92431236,439162773,59,209,723,303707,41676,83088113,92181,84103,976199,867,746699966,150943,102,290,66774,51158,7,186243,11,70,1598019,917112,83031954,3514808,64,49576,521,1,86,9445,62403392,15,792764,7,722157722,95,235,7801,28,1,779850,11,19883,6487,904606487,74,7,26,7718927,698174,8,104,22078,6,276665454,656,31,296,65797,152,6598060,65249511,542,121,1666,749,9635940,775484,745782005,2750,26,1342,17,692,7078,12,818164887,8522,56824,163,1}

{1,636,365,8,1,5695254,55539603,1,50866491,1848078,1,25955,97423507,3893,7682672,1,3933,37650,7457524,72918,40326,341629822,72,10,342573,92163592,197392,4,488,1,1,1,3150506,105719103,4133,3138,801873280,1,4814,762013,83794,11,668339,1,435800,252495375,99370,1484788,379040838,268523306,90186,2,6644,1,14470,62,8766,627549742,3296342,9794013,4,5282,69,84962,757814,7124,3213249,96673998,4158411,2165,271175558,1,47592516,30,770050397,4337,20333949,9338530,35581523,39553,77053,252324,26546,1,8871029,458452,478651810,1,938,512802631,689,2110,572,1,5069622,852385,1,1674774,91685,1}

{85,640,397,17,1,5695263,55539709,115,50866519,1848080,216,26150,97423508,4107,7683376,3,3960,37963,7457691,73089,40336,341629830,98,10,342574,92163595,197400,7,536,2,3,11,3150533,105719155,4137,3256,801873476,109,5069,762349,83825,16,668445,4,435819,252495403,100259,1484789,379041176,268523325,90207,32,6797,16,14489,65,8770,627549743,3296475,9794110,8,5390,280,85043,757905,7124,3213275,96674103,4158436,2195,271175603,39,47592519,110,770050422,4402,20333965,9338672,35581602,39554,77073,252327,26689,8,8871033,458611,478652024,11,966,512802650,774,2123,590,1,5069744,852531,6,1674805,91728,70}

"WBBWWWBWBBWWWBBWWBBBBBBWWBBWWWWBBWBWBWBWBBBWWWWBBBBWWWBBBBBBWWWBBBWBWBBWBBBWBWWBWWWWWBBWBWWWBWBWWWWB"

{4,89,32,36,7,7,33,33,26,46,64,95,63,22,50,33,66,50,18,5,14,87,2,56,38,51,84,31,94,81,21,81,42,89,95,60,82,28,32,61,74,81,89,68,0,26,18,63,56,31,48,12,35,24,23,94,30,16,46,10,83,56,30,94,96,63,7,79,66,98,32,62,69,67,58,96,10,86,80,80,58,45,25,87,38,22,10,82,45,52,93,88,66,79,49,1,55,50,85,5,68,69,90,76,87,90,55,87,60,86,70,58,31,45,67,68,62,42,31,8,62,43,24,43,26,60,14,91,32,16,26,12,54,81,42,55,70,59,6,76,99,93,81,40,50,11,33,68,19,83,6,83,32,80,15,78,46,37,5,96,46,11,25,12,25,5,28,30,34,64,60,32,16,13,35,40,9,32,37,84,60,32,37,39,86,36,11,29,30,65,79,3,11,27,69,25,14,95,90,41,59,87,7,42,98,41,91,69,83,17,31,22,25,67,69,87,37,77,93,16,55,32,45,70,0,42,8,45,10,35,57,84,23,21,17,0,70,66,39,12,1,6,48,23,15,52,37,84,77,0,40,85,33,57,86,81,24,7,97,73,5,98,35,10,98,0,18,78,10,93,28,91,8,45,11,9,35,54,81,59,93,51,84,15,36,35,14,23,43,74,68,43,65,89,92,55,87,92,42,69,44,58,21,86,96,20,19,31,50,11,51,51,35,65,68,24,39,93,88,34,50,24,52,70,14,10,61,19,20,61,48,21,49,3,72,98,65,42,62,48,45,44,84,97,52,84,9,95,22,72,59,40,53,90,53,92,68,20,74,60,75,37,56,37,53,45,77,81,81,3,2,65,14,3,84,19,83,31,68,45,78,19,54,65,53,24,59,55,45,64,25,43,98,58,49,51,49,87,60,7,41,71,16,65,45,93,59,35,30,46,13,87,69,59,14,25,69,0,16,83,29,64,28,55,91,10,31,44,57,46,64,46,95,45,97,60,8,2,54,93,10,45,45,84,79,4,46,88,50,99,45,29,15,16,7,13,77,88,86,50,27,75,52,82,8,42,50,99,72,81,95,95,49,57,6,82,94,36,0,66,85,1,58,87,76,32,30,44,81,53,18,87,43,12,25,96,84,58,6,2}

{97,28,16,34,13,74,59,44,66,16,78,33,50,66,21,73,53,48,4,43,99,86,20,69,34,80,69,42,40,38,58,6,85,5,89,61,90,61,20,5,28,47,35,93,37,79,17,32,65,34,92,0,0,13,22,43,24,81,25,77,73,94,66,16,18,34,70,42,42,62,52,49,55,56,86,82,44,78,67,0,16,3,42,87,42,69,2,69,0,74,83,55,98,83,3,37,76,32,70,60,39,29,95,49,50,60,85,91,19,55,58,31,15,43,99,70,46,84,54,85,79,62,68,73,1,25,53,42,82,14,97,17,99,2,87,55,28,71,20,55,28,53,84,83,50,27,20,87,81,74,2,62,23,52,5,69,37,76,70,13,78,44,84,93,68,91,54,47,69,30,75,93,5,80,48,90,96,33,88,98,11,45,13,61,45,75,26,24,33,75,70,63,69,32,68,75,3,35,32,83,87,53,28,25,45,97,74,6,31,18,45,67,6,69,4,39,11,94,4,34,95,38,60,27,27,5,97,23,84,94,99,29,61,34,74,12,89,83,49,14,86,55,61,56,45,30,9,41,63,45,66,75,43,71,41,14,43,54,88,0,9,13,45,36,61,88,81,62,79,42,27,4,97,22,91,24,13,90,91,3,29,9,46,18,37,34,13,40,25,55,26,5,53,58,49,17,4,72,84,31,63,56,97,57,68,82,46,21,92,87,84,23,2,9,71,25,86,56,49,65,49,21,65,47,23,30,71,49,72,40,70,3,28,24,72,81,77,52,20,18,66,49,48,56,66,71,54,13,13,26,27,74,86,50,47,46,36,58,62,27,82,44,48,12,70,90,82,73,56,13,39,73,96,91,29,32,68,53,61,74,67,93,76,84,52,93,30,17,36,41,94,23,90,26,5,44,24,32,58,86,13,3,9,64,9,65,17,93,2,76,81,86,50,41,72,13,26,59,72,15,32,32,91,81,30,98,10,54,93,34,43,23,96,53,94,56,31,95,30,52,28,63,65,99,41,67,3,63,72,58,39,51,67,56,70,8,56,29,16,18,61,92,73,97,30,57,35,58,64,70,42,88,7,77,26,80,72,3,88,56,6,27,89,56,78,23,8,44,31,71,31,2,28,64,81,79,82,77,46,73}

{1731618,512802807,6705212,802004433,8466,770050945,96638265,105300710,3099970,3654805,34823731,922964892,904611500,3516895,341540329,382317616,725370971,378960079,446620344,5695417,66015715,1223658730,79930961,14388,51771,64533794,8869513,4183119,5902971,247918,338334158,55287857,6330887,507107582,1330115109,25167,27124,23997,3110265,5709670,770049942,1232875,512799413,4849490,58440,6671785,354151447,907671527,9455,55265,379049020,105308127,61538,83422076,262100,5069693,83279732,3806852,92155962,23078315,276663569,5068695,3364183,8624641,446611977,904636106,271175569,3712050,6059706,98003,3144036,330919984,2140,104376453,476130513,34937,14192045,443845210,154127599,65268107,6851384,252495631,94917879,13,4178264,305835,66086069,24617,252553428,770044304,5413,3581,3121672,6635945,330926516,655,20334190,3060582,280352855,5695436,4296266,746702163,819015227,310592302,745872196,2091,10094184,745784118,73015,479426842,267879291,3296410,9368,252495622,104392948,267715248,106231,11716818,14556,60043475,6631042,6537,86205800,276665219,280874,92255762,671507984,4181037,3124003,62452891,1504678,181874010,14516,80142695,742935554,14,271175678,10551934,55499601,20334196,1120,722150666,8618923,999239,8,1001933,105745299,749242277,179776,770051432,135430558,4911,3191893,65319769,5704442,35579498,99837,20334246,265480448,7991,35481876,459001,83384084,105359500,88611155,5693328,14548,1635668,53111,908782,4398,3157303,9250057,65317959,379047057,998818,2014180,102635052,3638,8779931,26153,249344918,8590,2334888,226931269,802055329,255374,663954457,105803372,2745,277734021,904691364,23951,4126012,4854372,92251392,66015765,819014074,3150766,83030292,754796171,23624285,1058,94917880,252403862,84649899,770048968,55537538,1658,354151437,252495633,104089243,36716077,104390837,2193,744946013,26154,4334679,7082,3507968,819017256,3145910,252495631,272151308,917491,8541533,49248180,252536798,22675941,5066439,627549702,755570340,27070,341676130,862443337,105308123,241627138,3214916,328566509,140130186,479426267,55539662,379046007,42635,252504500,157715,2022534,91902302,913794033,252553431,4046571,10089860,105785808,627571669,560908669,65763008,83430641,14448,1727983,276606886,4021459,91987,252492414,815492805,106193,56577,446367563,35587884,7247082,4176070,975632,2115,49248193,252798774,24038,84419149,5366,14939,250680,10573846,746692894,2466368,8771899,446610972,802059722,52049,66007192,959221,92255756,770051011,4575069,5695414,722164844,509506261,330925270,92468851,745782023,47592627,11716822,2206,904907784,3295444,340011137,149672987,4848197,13745,26920,341630524,90305,745808129,9663110,751091,79894086,2015421,4834621,174816949,478712731,9498,330922908,54158,330836326,424374636,354,269690842,65974113,13654637,7353,330853533,47552397,975752,107874607,341630530,330925359,83430650,5,161022,9397201,4176382,46546,810736363,249282399,330441419,370178588,1715051,3206490,8892306,2007962,819008730,303255,47479230,9989957,770883084,1200034460,90745,723642444,99924,798226964,3256290,770056197,975792,22405,485125,379033720,105366575,993333246,252495670,9377531,276917040,250898,8580,79054845,276672300,66007422,2118,755570334,3077782,4854895,722157708,4831403,517555436,68811335,79994,20319688,8864591,722164495,83423596,10422932,92468844,549564085,83789773,87186128,41666,92146,3183110,325231101,1179217,288865597,748932225,3296406,479426769,83031558,21943,5228618,750850,250821514,14215,101407745,10315,79740691,20234443,252256,1223658736,88028,92046115,98242258,92247191,279318,10515425,51147499,7721,749850188,2392835,2276,252738,153054,13897162,13805569,470555,627556806,146840,757955,141478,819008952,974652849,3451701,16570,50866831,739125682,165336,13853,13805405,1157016430,252488529,8871644,76473454,104393020,99836,904687745,47502318,3296337,253331135,745907225,104383641,3555956,271175557,50866531,9387767,746698229,481431723,446530132,961204,4505,276671946,1704823,51017081,630396168,86988,3296335,46834682,270923663,814834181,819013669,330926404,618276987,55426423,65299755,42522870,802059699,56573,3212292,64717046,976437,509506252,745782968,15247792,3191888,51017080,11,252773,722135803,446620312,665891162,1161,104608613,92002999,6629225,8844919,6107942,55439895,196774344}

Returns: {58373, 67, 23, 636, 79891229, 392, 29, 17, 15, 1, 188, 5695254, 10, 55539681, 173, 115, 354, 50866491, 174449, 1848078, 13805565, 11, 11, 26107, 7943055, 97423507, 4493, 4100, 58332635, 7682902, 9379, 3, 3558932, 3960, 92431232, 37695, 439162637, 7457686, 54, 72977, 209, 40326, 715, 341629822, 303688, 73, 41664, 10, 83088094, 342574, 92175, 92163592, 84097, 197392, 975794, 6, 681, 509, 746699938, 2, 150940, 2, 31, 8, 286, 3150507, 66711, 105719103, 51152, 4133, 5, 3235, 186243, 801873424, 11, 67, 70, 4821, 1598014, 762018, 917029, 83794, 83031854, 11, 3514787, 668348, 52, 4, 49317, 435801, 272, 252495376, 1, 99811, 85, 1484788, 9442, 379040839, 62403229, 268523306, 9, 90204, 792744, 20, 7, 6781, 722157677, 15, 95, 14470, 30, 65, 7798, 8767, 27, 627549742, 1, 3296386, 779849, 9794014, 11, 7, 19883, 5283, 6487, 91, 904606319, 85042, 72, 757905, 7, 7124, 23, 3213255, 7718892, 96674033, 698141, 4158411, 8, 2183, 91, 271175584, 21942, 22, 5, 47592516, 276665201, 36, 656, 770050397, 15, 4393, 268, 20333965, 65793, 9338531, 130, 35581558, 6598042, 39553, 65249483, 77053, 478, 252324, 113, 26681, 1665, 3, 665, 8871029, 9635784, 458483, 775084, 478651813, 745781905, 11, 2732, 939, 6, 512802632, 1306, 774, 17, 2111, 690, 589, 7071, 1, 3, 5069648, 818164886, 852406, 8374, 6, 56823, 1674793, 157, 91719, 1, 70 }
{5567821,20524,3354,4888,4998,27798,8783,638,1836937,7,8056,684137108,1,382,3249172,1977,1,182,360,7451513,1,88105850,2,7772715,8279455,1,95420,1,1,4576,1503565,63020703,380667591,955368,584549,5541817,141920,4,556762,1,1,624707,1,1,9850894,168,14,1,17178,1,1,138,4204938,15,1,991988,1,1,78304,1,1,916,478,29290973,4004640,909139014,331,531084112,6306857,392920,96509728,1,1,11579,336,482,665946057,7844905,3365540,904,98205952,16238995,862,1,3,65159825,13384287,878186,104749618,2,8762,292757284,464589,351361559,802088,92321945,49658352,7682139,64819316,14}

{5567835,20912,3371,4960,5001,27806,8785,638,1837085,22,8422,684137422,8,534,3249256,1999,108,608,816,7451676,64,88105903,13,7772729,8279485,59,95569,10,264,4603,1503725,63020720,380667653,955370,584553,5541821,141930,163,556923,219,19,624762,5,17,9850917,257,20,18,17192,6,4,141,4205140,90,1,991988,5,1,78312,2,1,1158,505,29291026,4004662,909139095,334,531084306,6307081,392963,96509738,206,296,11695,355,546,665946094,7844914,3365548,916,98205953,16238997,863,1,4,65159866,13384292,878191,104749790,108,9032,292757287,464594,351361867,802371,92322104,49658362,7682162,64819392,99}

{1,40287320,1,701626516,32716,54758,6862732,541852,1,1,4709077,25811700,30771196,1,2409,11124,2,2607065,635,1358,83063,317,72344147,1,66291256,42,6962361,625819586,1732771,1,9337946,1,66,1,63518,208819461,8,48007,38810,1559,1,976,78,1,1,614,694515668,77870,551582,1,336,71954732,58881,762,3709,815,545085212,29,907,8553,435874,6650158,41,1,4660,6278,1,35897487,730644726,1,1,82090982,1,32004,1,98,9389,197,1,73630,9271360,348866,1,293867779,980845,620,555207375,87626645,733,1,2602,84500179,917,1,34,1,6333,7085,897,940438810}

{124,40287381,193,701626673,32770,54805,6862756,541989,1,12,4709089,25811739,30771220,2,2424,11298,7,2607417,639,1360,83073,525,72344172,181,66291256,49,6962657,625819589,1732793,22,9337950,1,122,385,63525,208819646,139,48639,38836,1722,11,1107,97,7,1,630,694515669,77893,551894,26,351,71954982,58883,793,3743,817,545085213,29,908,8557,435899,6650489,44,2,4804,6531,69,35897487,730644746,16,6,82091059,31,32011,67,115,9528,202,1,73659,9271409,348927,55,293867794,980960,775,555207377,87626669,736,1,2614,84500183,1129,2,124,137,6437,7098,897,940438820}

"WBWWWWWBBBWWWWWWBBBBWBBBWWBBWWBBBBWWWWBBBBWWWWBWBWBWBWWBWWWBWWBWWWBWWBBBWBBWWWBWBBWWBBBBWBBWBWWBBBBB"

{49,52,14,24,43,48,65,0,41,15,76,85,3,10,52,97,16,90,63,17,22,12,73,37,36,91,59,89,91,91,58,5,11,77,71,25,50,0,81,79,26,23,34,35,88,25,65,53,96,70,34,36,43,53,48,95,57,48,92,53,35,53,85,12,43,32,44,71,86,10,54,22,47,20,15,9,30,94,82,84,94,58,65,26,86,34,13,36,46,25,48,94,54,91,73,91,74,62,71,57,90,62,49,3,75,34,89,96,93,44,68,50,56,24,42,61,99,51,52,37,19,14,54,11,68,75,36,90,85,98,16,78,7,15,25,17,89,97,4,95,25,79,21,74,37,59,67,70,27,85,28,56,67,60,57,79,44,79,32,83,51,49,88,71,68,67,21,27,46,72,23,44,45,25,53,78,92,53,78,4,97,45,94,74,38,57,8,62,34,86,70,61,33,88,42,17,16,32,96,75,2,31,4,9,53,68,42,2,84,3,60,85,31,4,56,4,77,74,53,52,95,4,52,66,24,87,51,68,31,74,58,83,44,39,36,14,59,9,75,28,94,95,94,74,98,23,94,77,56,26,6,38,96,84,61,52,7,11,88,1,43,63,57,54,13,63,32,55,32,96,83,87,45,37,7,6,0,72,57,75,63,95,91,31,74,22,64,42,27,93,74,27,87,10,82,82,46,33,27,51,23,38,91,41,50,88,7,91,1,39,81,36,65,2,58,81,53,22,27,23,31,94,59,95,35,10,83,26,0,56,23,9,42,15,40,36,29,9,68,21,85,37,72,42,72,19,1,78,26,60,93,86,69,85,40,82,53,1,12,82,11,40,10,23,62,42,60,74,39,56,86,75,36,95,35,54,24,66,92,53,86,79,28,68,1,36,8,4,71,48,36,63,26,63,52,27,0,97,58,61,91,81,12,23,34,57,54,20,38,23,50,26,88,53,50,81,36,2,1,29,7,58,33,15,38,89,0,54,37,95,69,62,10,84,85,69,21,41,69,86,41,97,42,4,89,90,5,25,60,27,23,19,66,32,8,2,80,92,48,12,11,61,22,54,46,8,84,70,77,93,3,89,24,23,38,30,89,27,12,99,99,93,21,51,39,0,65,85,16,77,56,27,72,27,95,50,5,76,16,30}

{57,42,46,82,84,20,85,96,10,12,64,29,9,39,22,34,99,76,81,30,86,77,11,12,87,26,7,65,75,54,94,85,94,19,89,98,9,70,78,10,23,95,14,99,87,44,55,42,73,37,21,11,73,21,34,38,1,45,49,79,56,2,73,7,39,3,76,38,88,42,35,67,32,46,60,90,79,88,49,50,95,0,91,26,90,71,84,42,0,99,70,61,36,89,58,99,3,32,91,7,53,60,64,22,8,95,4,2,28,44,15,28,92,15,75,66,32,62,7,97,55,91,1,40,35,45,85,21,40,20,98,25,28,42,88,10,95,70,35,54,40,69,43,13,90,13,11,40,63,58,33,26,89,50,87,46,9,85,70,49,41,70,58,10,65,57,76,10,46,85,4,55,79,3,84,8,93,43,64,35,39,79,70,16,0,93,3,95,88,61,76,9,17,70,63,52,50,79,15,9,92,3,36,82,21,20,73,42,60,78,12,71,28,90,46,97,83,88,35,5,71,72,18,40,30,68,70,77,36,8,7,59,0,81,83,67,40,5,25,12,47,48,61,48,21,83,2,0,81,29,28,98,80,34,4,2,86,48,19,82,17,93,25,66,72,12,30,27,58,31,37,42,70,16,89,75,99,95,28,91,24,13,7,51,14,90,85,55,25,33,91,14,59,91,64,68,24,70,2,4,53,58,61,80,83,81,41,67,48,21,83,14,66,97,42,73,30,2,50,22,27,72,77,90,37,79,10,31,88,17,42,48,53,73,17,28,41,14,15,15,11,84,16,41,67,12,0,73,63,65,44,58,61,67,40,8,67,96,85,31,70,85,50,29,35,83,40,25,99,80,89,19,82,85,13,59,94,26,2,25,6,76,14,9,13,65,80,30,64,97,20,20,3,8,62,81,32,32,77,1,51,53,35,36,56,25,63,67,5,84,0,87,0,24,41,84,13,47,95,1,86,49,28,72,60,47,5,46,37,76,8,28,93,30,99,37,72,0,52,58,45,34,91,97,25,75,55,16,84,16,53,13,72,37,54,26,82,3,78,75,34,89,1,85,24,32,83,26,27,2,53,18,62,16,94,1,99,19,6,78,4,77,49,91,50,9,89,21,18,33,83,93,16,63,21,7,20,35,35,48}

{29,4263941,697762478,74569876,980961,486001,843984870,44096876,5324495,30762044,661946083,65156008,701631445,4715835,76490421,7154045,940438849,665943840,13400866,8233899,496247498,38615918,709905231,30723017,88362900,370199301,534067,909145453,377256820,377253746,724662,65186138,709146774,394401,82090988,64820177,355,90941918,13222338,4642853,14639811,84549234,2725795,737161162,191497420,9850920,908152654,790,49672380,96557928,87584347,709806958,43663,88106075,1055749,91804022,40307818,568196,465683,73683,341807569,4045,65179484,30229861,1569,1082289159,656104568,82608914,646572045,4717324,214357560,567530969,380745475,694432614,426736,11620,10766979,103948303,862,980627,91519905,5490426,700875623,2,568580028,82612006,981488,141988,700083472,940438797,97044452,7451298,145632,377257463,97750,1148695909,701631126,380667181,295166475,542593,10773,436348,4009397,629287295,1836491,91800928,37750,49661337,353094351,2,736938710,1732465,545548709,74557620,568,6650739,1321106386,71955143,4687605,7723266,6460224,374005815,40304125,709948890,522590545,809,65018650,88098958,65160581,64901535,64820204,3365545,1191437,13039,104750348,2109773,92321956,88834663,214323529,92325680,75,465685,88106418,201,54612,9087,163138614,96509732,655110565,65081736,2688153,538218125,566981776,435565,88504808,694442911,9850895,65231872,284157978,293867778,72578413,96509737,104671564,77390200,1633470397,566981750,577849062,621118812,1,65160583,7800480,8859741,73676,701631387,980261,1528603,350898069,868,643857,214323529,7687681,73678,95707681,286,5049881,351361595,703458510,92321511,104227929,561940591,569445743,6651055,3562501,8240689,29291058,6753390,383,380740326,49661193,627,462327,764642278,169663,845,88106075,736868755,43585,3427,545065,704987112,30335322,147250104,64753489,34173,149430469,7702828,301712488,104750087,214360412,4181420,174412934,37750,4262668,330,63729210,648446989,168464431,732182376,62878795,1836607,618743,293859223,4283093,16586311,294009689,563730130,8560,82581,567,29038423,879947,92856674,7451300,568730,23286915,301640505,798765,2277286,560975323,7053587,5138721,64300526,57812644,1501987,6621490,4260661,568049045,709379825,97298649,40306985,2607630,322070589,50,4047,529,60062185,388501958,626810758,380590191,13368678,293819590,88504758,96510101,48426,542618,6870874,946006621,92321955,1732772,377256821,87302754,92321429,376714843,134975399,3251312,72350584,61159242,992725,625819581,350406197,377257127,629066411,88496280,372540062,4008534,736950962,636503879,95554370,625822934,71926943,7773425,516381,370606390,106851644,293867444,88858849,1165067,286929698,39738777,88106932,309757891,3109714,909145119,7685891,79133,16544215,10840660,72347513,625819250,80116890,688840290,802118,7853266,92315539,214312802,4642852,289167004,69887788,99182604,542478077,7772805,569052,790,30549,2607626,1874696,621117,3251631,736938709,88114541,644788309,932767,49,625618,566981776,38221518,45834613,3385893,36158062,909568629,341510656,568512457,7042189,501821193,1,1836075,566980910,89918822,95930338,63019844,613439158,65160582,4717067,7768156,214360746,293867700,435904,338,940437267,634019776,568591663,7452381,141076,27162829,214360748,4835,73768615,7057828,462325,791,561720148,666009442,4979611,736951807,40307315,909003520,105640401,10803775,86090864,8209791,224980,29374050,694754489,27454042,4263486,641709700,375099896,372992510,7767315,33656772,305302493,16587010,183590061,7630819,545606241,50,29294699,566898708,544946,8753682,5568156,81446674,99182604,74569868,625362,16871070,141404,81240,132588753,40303268,568049046,79210,2688154,13114,953839,77893,5594827,694511964,2,573633521,1443993,1733233,356062341,9860566,1005597934,441135,88106413,4944102,3871074,568512457,624822,7154044,377257388,7702827,75,10997,1018179,53,545064,625819633,7773425,7452495,332,380715775,1840659,7054807,107476476,702085073,3900256,30771654,709300826,6651073,32077371,65162852,636503878,378830778,292886825,103376822,633664296,351358220,701630596,1350,74570202,7772680,284119,32432423,940438832,633269897,23917255,943804342,940411049,343516858,88106419,305302492,1232,5567802,909145451,22946247,1301,6889737,251217439,977181152,51,655110564,4216582,542286,56065,869214342,214361229,10272458}

Returns: {5567821, 3, 20525, 40287320, 3360, 12, 4950, 701626516, 5001, 32755, 27804, 54780, 8783, 6862735, 638, 541983, 1836938, 1, 22, 3, 8314, 4709088, 684137108, 25811704, 8, 30771210, 534, 2, 3249232, 2418, 1977, 11145, 53, 6, 259, 2607390, 599, 638, 7451667, 1358, 33, 83073, 88105883, 522, 13, 72344168, 7772715, 14, 8279478, 66291256, 38, 42, 95544, 6962627, 5, 625819586, 11, 1732791, 4602, 22, 1503577, 9337950, 63020704, 1, 380667591, 112, 955369, 2, 584552, 63520, 5541817, 208819461, 141922, 14, 144, 48332, 556767, 38826, 14, 1559, 16, 11, 624708, 987, 3, 81, 13, 7, 9850911, 1, 257, 619, 18, 694515669, 18, 77870, 17185, 551886, 6, 6, 3, 338, 141, 71954831, 4205000, 58883, 88, 782, 1, 3723, 991988, 815, 5, 545085213, 1, 29, 78306, 908, 1, 8556, 1, 435899, 920, 6650158, 493, 44, 29290977, 1, 4004644, 4754, 909139020, 6412, 331, 26, 531084277, 35897487, 6307066, 730644726, 392955, 10, 96509729, 6, 49, 82090982, 86, 12, 11665, 32004, 339, 6, 545, 99, 665946060, 9404, 7844909, 199, 3365540, 1, 905, 73645, 98205952, 9271385, 16238995, 348882, 863, 1, 1, 293867779, 3, 980958, 65159846, 731, 13384288, 555207375, 878186, 87626645, 104749618, 736, 42, 1, 9021, 2614, 292757285, 84500179, 464590, 1089, 351361564, 2, 802089, 47, 92321945, 10, 49658362, 6337, 7682150, 7089, 64819356, 897, 29, 940438810 }
{99430,5106536,1911,893891,168917991,1,43,874869,4636,1,396987,726648625,54129,282634,420886024,2402728,756665037,991085,48,815347789,1,495,1,732,615652,936,99134985,10,77608272,734408822,73065,56884307,202238,1,979217127,7059,9,1158802,1,425637142,644518,403,1,50699676,3831367,5531,79,8895979,1,1,339511540,6,7257,77,482811908,9710376,84259,2343,1,698492,1,1,418819,93420,59608970,1,4067,518070516,89605883,378,3764424,947285599,1,1,441183,1,36171665,78484812,382294,55177371,2633005,884726,277686,5788,29,376,5321628,6,801767508,65694000,97631053,1,24026915,844289393,1,29506,1,525,27,8957}

{99744,5106544,2035,893949,168918000,222,104,874873,4908,44,397046,726648647,54470,282637,420886088,2402886,756665041,991339,63,815348171,4,504,2,1071,615779,937,99135278,56,77608278,734408873,73069,56884313,202331,32,979217141,7078,9,1158971,10,425637313,644522,416,390,50699734,3831398,5612,81,8896092,12,1,339511547,16,7257,86,482811917,9710414,84272,2494,35,698768,8,105,418887,93489,59608993,23,4171,518070531,89605890,503,3764439,947285800,80,231,441406,30,36171931,78484812,382396,55177485,2633136,884745,278105,5808,37,493,5321709,12,801767820,65694255,97631058,43,24027164,844289401,1,29748,5,528,60,9275}

{397494,52515,383,73937385,9375018,415,2756009,367082,1,1,18230577,53,929333882,77,778004494,47,1,1,2558,52966,45820,664,931208655,1,1,1,1,8398,69,763794,2159,839948,403185,6,6,309718,3641,84,35,3116,12558,36908438,7630883,48,6244,520086260,93776556,2284,32806554,1,59785,1,4,120,247901,2622,5,1,602,84336089,27324215,6205613,1,5,1,4706,1,33992,1,5706,2161,4109,1,508,31918063,6264740,9,342,169720,9611,59307,870067706,745,41132904,5431,250,5397313,81198908,50,41,281797660,2527,3417176,8215776,64,3231476,88310559,93965121,81293899,1}

{397520,52769,404,73937510,9375048,550,2756148,367560,224,2,18230609,55,929334253,82,778004512,77,46,34,2649,53290,46010,698,931208684,13,6,198,8,8414,175,763799,2171,839964,403221,215,19,309738,3711,84,62,3117,12574,36908476,7630903,108,6249,520086383,93776557,2284,32806568,8,59828,75,8,135,247903,2659,17,120,796,84336236,27324387,6205620,4,13,7,4718,8,34003,3,5709,2196,4110,49,508,31918118,6264892,77,366,169756,9796,59351,870067806,828,41132905,5431,717,5397317,81199468,55,41,281797673,2563,3417330,8215777,67,3231558,88310591,93965123,81293922,3}

"WWBWBWBBBWWWWBBBBBWBWWBWBWBBWWBBBBBWWWBWWWBWWWWWWWWBBBBBBBWWWWWWBBWBWWBBWBWBBWWWBWWBWBBBWBWWWWWWBWWW"

{5,93,39,91,35,3,18,54,52,84,41,23,19,69,22,41,3,28,5,82,29,3,99,41,54,82,67,51,33,65,94,11,99,12,86,48,55,67,67,42,55,58,87,27,10,17,12,36,61,53,60,15,20,16,76,74,76,95,71,89,14,0,82,51,96,92,14,78,31,12,82,93,21,34,62,33,37,9,27,45,31,42,34,79,39,38,96,74,2,53,92,67,68,64,38,52,28,59,54,48,61,23,54,10,1,21,73,8,9,29,83,76,48,64,50,60,97,47,62,25,13,77,13,97,0,96,37,24,91,36,76,4,43,33,51,15,72,5,20,85,56,64,22,83,47,8,68,65,92,86,27,69,10,23,33,61,80,91,8,73,21,81,43,75,97,95,63,50,32,44,52,9,33,29,13,59,92,44,33,34,9,1,97,8,32,57,13,53,92,24,86,35,12,91,91,70,60,0,13,83,79,94,29,32,92,50,10,27,11,28,25,27,26,81,14,98,90,99,45,42,6,27,7,20,54,61,94,95,85,38,24,93,40,36,41,31,70,90,40,84,11,68,96,79,18,65,82,37,47,65,22,69,25,46,3,81,55,0,99,30,61,14,57,98,33,42,98,69,55,89,87,40,10,76,53,8,98,99,74,26,64,24,73,25,44,38,39,68,24,62,60,84,93,65,89,91,90,38,59,8,20,84,64,67,39,47,82,69,77,64,98,56,29,43,17,62,88,97,70,65,12,85,11,35,50,83,10,8,55,29,33,80,96,35,7,79,16,49,96,96,59,82,50,95,19,83,76,13,54,13,78,74,32,44,89,78,85,44,4,9,33,0,88,69,69,93,39,43,41,6,53,20,32,68,95,98,47,53,53,12,20,82,49,26,20,21,16,91,72,11,98,72,54,75,9,45,44,7,62,64,61,6,72,17,78,23,36,70,80,81,82,37,6,15,65,7,79,70,30,9,76,92,96,9,64,78,81,91,90,96,20,51,76,68,84,81,69,63,37,81,67,19,73,37,29,83,33,4,12,43,3,3,68,40,3,38,45,40,34,25,47,35,0,46,67,49,58,4,62,89,75,71,97,28,30,50,47,44,26,51,55,90,66,44,59,63,52,41,73,94,19,49,23,7,76,25,37,43,24,70}

{49,63,41,67,19,63,74,50,94,92,13,55,64,44,48,16,83,69,88,25,72,15,98,84,22,75,7,30,3,19,6,14,22,85,56,71,34,38,18,46,6,50,33,48,23,44,5,16,78,44,91,81,48,69,75,59,41,76,76,31,54,84,91,50,69,35,46,15,78,71,81,21,41,86,48,85,58,32,13,28,92,35,23,40,81,54,1,23,57,83,87,2,58,39,33,67,59,0,30,91,17,58,23,34,53,20,66,61,0,83,47,63,75,51,65,47,11,62,97,59,99,76,48,35,69,1,31,78,23,77,87,22,46,81,71,26,22,29,68,93,6,21,72,18,30,89,86,17,76,37,2,75,20,20,80,58,17,37,41,99,34,31,47,31,44,57,40,41,8,64,64,40,35,69,97,95,49,54,60,85,78,72,43,80,22,80,90,12,49,82,61,55,13,53,77,0,54,82,96,40,42,8,77,35,41,25,40,33,85,56,11,80,5,29,65,67,72,49,97,33,96,12,86,17,72,62,85,34,5,40,87,43,52,19,70,32,84,81,15,56,64,68,35,66,23,44,45,58,49,7,54,60,46,27,95,0,23,53,8,82,86,33,62,37,88,31,53,51,69,97,17,49,3,82,7,70,9,11,3,59,13,55,58,77,76,35,8,16,48,93,94,46,95,88,97,77,63,31,92,37,64,1,76,45,48,52,85,32,33,82,53,63,15,63,73,65,25,20,50,81,8,89,3,46,57,13,79,43,26,39,77,31,81,62,92,91,81,19,44,91,84,60,24,56,91,91,31,54,53,94,91,24,44,87,33,37,26,82,21,67,11,84,77,95,46,70,10,68,19,70,16,42,70,7,42,14,49,89,28,60,26,76,43,90,98,41,80,1,83,18,69,31,39,81,19,68,50,11,93,81,43,32,56,86,23,94,68,7,99,0,85,26,22,83,92,54,51,6,88,66,0,23,83,50,84,12,99,27,29,75,73,4,58,15,19,28,9,65,98,45,85,70,31,50,92,59,13,61,30,71,69,27,26,31,76,87,58,92,40,25,13,20,44,49,96,49,7,95,36,18,97,65,92,36,42,19,24,25,5,80,32,51,26,70,17,60,28,20,95,5,53,82,73,92,79,55,21,12,56,52}

{552,852411747,462542211,518101972,815597480,74737894,32356605,143488447,7320,27438739,37190628,9712149,755791783,3831505,898402103,793573101,33692616,77613494,801767999,277495,735172615,75446159,81302824,36903422,1413772675,6541806,517528978,75160,74831303,815396050,2756136,1083767063,931217615,929387254,10634671,980088059,969509403,518104470,518101849,86145736,12463813,339570762,81199105,32798174,18626723,2846539,929387779,756668725,6418195,3837419,27321688,871585694,32760755,756670323,42436783,52675606,73079988,39373972,911117781,9649597,839682483,491792,279485,339571292,88305266,27127385,1105113886,2190127,57172240,1876560933,870674008,852504004,36907890,979292810,33225383,1057,1159472,605416,290944,597688996,35434527,7328242,979216261,54535888,1294817127,483059772,93364438,32358389,740,41138504,101808937,518102100,89606484,366031398,30,518097254,161245552,84537624,482984579,32804034,7196697,1459,483058935,997050736,5158998,45645,4671,6210513,497208,774772159,50020825,36078507,26541695,59609036,339566661,36217943,820613192,8479468,94383422,85033938,273753,42313216,33089117,93661940,491130,93364437,56565217,403178,3404,78488163,117371019,1090751631,144476106,870952417,947289640,96732419,931208620,735172104,89651711,852504099,2840351,59609153,931208619,41136045,8823055,65689128,89681575,995792,15562082,9559903,10032,6259573,18581781,46685,2692366,6205017,1701302,1161418,36912969,9462,979217302,925227349,41805902,62309228,97789736,3258676,563646,376359783,600545,55783838,59601723,657034,316791,735166537,94247158,81773813,27444196,479222192,27324221,979217442,551979,5159160,144664226,2687474,931007678,2690001,379146014,929388126,27444197,338818,6129926,10010379,929561991,2502,78487013,4060036,509888229,574719,88593114,41759061,62798750,4968,656687505,288645,57517907,339570433,18465574,8391,726648914,77524072,726647763,2683978,99135672,1602828044,1198885813,599330387,379428683,8959,426126320,7630904,85554465,929379922,9476740,1036908,483059773,6624437,1012,982419176,526,657034,81814859,801805454,649818,815397050,40670328,57118803,3767661,685016371,1770748,89661,667039724,0,88007898,55182899,3430,3832917,520357735,1159473,8898292,1237498,1413772675,27318926,93777414,93768225,71570263,870455188,9712149,497045,4053,206043,6129925,1198890499,416437,82452747,801767540,63675265,81293830,6043,9713012,159658560,82190185,657076,56203722,35894977,1242000,3761674,81293926,726639740,42472057,182772476,59326416,9097261,99,78484216,32346781,316769,425635459,667059157,33422318,852086352,27324165,93771176,849244114,801772161,159658559,78487013,379335294,57724216,104247187,1154129,59654798,5153745,23437057,1038117309,458440701,8891033,277353,599337,78485132,59332034,81293829,9155,732769800,50606293,991592,423532,801766625,93919824,335804781,870947732,929383417,65694280,799692045,93473821,339568982,41409658,73001463,50694810,89427407,309532284,78485132,55031873,782641876,721482,26201991,55184530,1625848017,815400757,92135694,88308021,85029416,27601158,338955600,3286312,815398216,41136168,21552323,482777104,483059611,282645,549478,32092653,4026122,85024237,65694020,946295,99135447,3559194,178291844,518104472,726648677,491793,723282984,3254942,93771188,848738590,443467754,38906261,852202890,6518351,756665074,7585077,3963242,89098349,4428848,1117596552,8898292,65694003,77608245,902064100,99180949,35894978,50699722,283301742,81248147,36907890,754091284,5156661,41138667,726651163,81288580,57724217,57419443,864687519,815400715,609686681,335733745,726141056,852086352,928791959,56905240,2555108,84301,9727860,551140,929,89609581,3254721,2683430,870455188,277354,97976251,928452571,43529808,27439489,482056475,55186995,6518350,801696556,4133,36469695,27443317,47183457,339571326,59614377,929492015,870943480,5868,917811675,82045692,45315,178292939,36172515,87203179,815395299,946791189,6079,98120,82452746,350860472,518103436,811634171,57723752,338412327,713035222,43896166,282690,172087398,929350332,896589995,74825204,74822916,9529252,57067183,109215370,81199074,520091361,26787120,978585162,1,8615582,270991,4122915,93776635,606347073,1,1241599,175031954,422516,65696530,87700727,947286209,114574437,77611896,7701798,475843108,8282524,3836689,99135672,2692311,9908705,379428647,99130965,71038,84628434,27417628,77601088,36863059,3260556,486,815400553,278431,1370,26201991,19015135,9712094,1159054,979979060,531500,3759328}

Returns: {99737, 397507, 5106536, 52664, 2032, 387, 893933, 73937385, 168917991, 9375018, 138, 416, 50, 2756141, 874873, 367328, 4908, 7, 44, 2, 397003, 18230593, 726648625, 55, 54450, 929333882, 282635, 78, 420886025, 778004494, 2402767, 62, 756665037, 6, 991085, 34, 63, 2607, 815347789, 52968, 4, 45820, 499, 679, 2, 931208655, 873, 13, 615765, 6, 937, 89, 99135021, 6, 27, 8404, 77608272, 76, 734408822, 763794, 73069, 2170, 56884311, 839948, 202238, 403221, 23, 58, 979217128, 13, 7078, 309736, 9, 3701, 1158958, 84, 7, 60, 425637251, 3117, 644519, 12559, 416, 36908438, 18, 7630883, 50699676, 48, 3831373, 6247, 5598, 520086368, 80, 93776556, 8896010, 2284, 8, 32806558, 1, 5, 339511546, 59816, 16, 75, 7257, 8, 86, 129, 482811908, 247901, 9710376, 2655, 84272, 13, 2447, 62, 12, 602, 698753, 84336089, 8, 27324224, 17, 6205613, 418822, 4, 93425, 13, 59608970, 7, 23, 4706, 4156, 2, 518070516, 33999, 89605884, 2, 417, 5707, 3764424, 2165, 947285606, 4109, 10, 44, 7, 508, 441191, 31918071, 29, 6264892, 36171923, 16, 78484812, 342, 382303, 169721, 55177371, 9611, 2633067, 59320, 884726, 870067706, 277687, 745, 5805, 41132904, 37, 5431, 434, 645, 5321628, 5397313, 12, 81199107, 801767509, 55, 65694000, 41, 97631054, 281797664, 15, 2553, 24027012, 3417176, 844289394, 8215776, 1, 67, 29519, 3231537, 5, 88310560, 526, 93965122, 60, 81293908, 8957, 3 }
{1,78565884,26,32789,78,1,77,344003964,6,6765,1,1,11400,3650305,2,7,1,29222,631465,324,510711762,350828,9638986,316763427,2567891,1,1,432,6,10740,3680,13270,6614667,2659,508124,1,1453,3032,720583,7112692,9419516,828,99244630,768287,37284465,9955937,60555302,496,54336,1,5,31761080,482080233,707,4,831223200,288764234,68767,862,1,423258,2976,51174,5,17371061,75378,1,5887463,65579407,530408,1,7181,937820,91159,1,3591,4,34236123,300,83847,964,1,638598,63029372,64881,294203732,8831935,30,475027863,9542974,752157,743279,920015966,8892,111006,1,639889300,533636,58019,755164}

{4,78566087,302,32789,614,221,106,344003966,6,6787,7,48,11408,3650305,30,12,5,29574,631488,509,510711998,350834,9638986,316763460,2567897,56,3,711,9,10741,3687,13350,6614698,2668,508126,1,1469,3084,720610,7112738,9419610,850,99244695,768339,37284469,9956002,60555333,537,54377,7,45,31761383,482080301,1100,27,831223514,288764270,68792,1282,3,423682,2976,51526,15,17371076,75681,43,5887467,65579409,530460,5,7189,937852,91173,347,4059,20,34236136,304,84034,980,1,638947,63029407,65277,294203779,8832047,34,475028182,9543034,752159,743316,920016007,8999,111020,149,639889546,533653,58077,755176}

{1,947326448,4180,1,1,1,19294140,370,2988,18093,513635,589633,523,6258833,3403,4706,1,1,79,1,90,1,1614,1,1818849,1,1,47754,681,51,4943,733832,4538290,877,484827751,1,2094697,9914,4674184,81676,43,1,845780616,627978,303597,69006,46170,491893,13734,1,9536360,9423571,1,620708282,1,153323,1,1,9304008,2212361,4378512,1977000,4134038,55132,85804329,690408,536040854,4240639,8402,26,464,9113382,2285,8,768629187,1,705,6613,62756942,2888,56,186359,92313,813631354,1,38,2631,69761,9925470,1825,1,4231592,931830,736818,6,7468612,878998960,6889,1,66884552}

{7,947326497,4182,102,1,1,19294153,549,3004,18135,513651,589713,660,6258879,3411,5020,8,250,93,37,91,5,1673,21,1818951,2,2,48424,831,60,5190,733935,4538469,921,484827819,3,2094727,9948,4674294,81807,51,12,845780951,627982,303621,69478,46395,491914,13769,14,9536568,9423582,8,620708293,130,153544,6,3,9304009,2212362,4378630,1977246,4134056,55356,85804346,690582,536040866,4240647,8438,364,464,9113426,2311,8,768629191,2,772,6615,62757230,3093,78,186419,92600,813631362,138,336,2631,69769,9925512,1964,4,4231690,932203,736825,10,7468647,878998975,6918,227,66884711}

"WBWWWWBBWBWWWBBWWBWBWBWWWBBWWBWWWWWBBBWWWWBWWWBBWBWWWWBBWBBBWBWBBWBBBBBWBBBWWWWBBWWWBWBBBWWWWBBBBBWB"

{48,6,62,20,35,21,96,17,53,32,22,63,1,41,79,87,65,42,56,78,67,52,25,97,84,52,69,92,25,68,91,86,73,83,41,57,35,69,77,24,76,79,27,59,74,23,62,2,5,98,58,74,67,19,42,49,13,93,95,59,44,70,71,42,52,90,36,3,2,55,36,2,27,31,81,77,85,93,56,9,78,84,9,54,66,85,51,77,98,92,81,34,89,36,0,16,76,17,31,20,6,37,54,29,43,65,83,28,21,6,97,63,44,39,36,68,84,49,75,24,88,70,94,79,0,15,35,55,61,19,21,70,17,31,41,90,21,70,12,77,18,60,70,44,39,86,87,19,89,4,50,92,24,87,45,80,25,94,84,46,88,8,94,17,83,19,74,4,5,21,9,6,65,53,81,74,45,14,46,80,47,69,79,97,95,78,37,10,58,22,88,16,66,91,35,83,65,42,95,9,93,20,60,74,55,84,73,42,26,79,5,95,90,19,53,56,77,74,5,53,19,48,26,22,40,24,11,31,99,38,86,35,62,16,24,36,45,97,53,24,9,72,33,48,20,23,79,98,3,33,98,82,35,89,54,47,22,7,65,7,14,26,92,14,94,46,69,48,37,46,81,41,90,56,85,73,68,69,95,67,81,27,29,57,4,13,10,68,42,49,40,15,58,80,54,5,72,76,19,53,80,40,62,88,22,71,55,40,34,53,27,2,58,30,51,81,0,23,5,70,33,99,31,38,45,2,0,46,72,80,28,48,65,36,35,62,94,14,46,56,25,53,4,11,55,97,2,28,22,1,75,29,71,9,92,32,57,71,52,48,79,43,19,87,73,16,27,45,69,33,8,38,68,33,79,48,5,31,17,52,98,5,1,56,49,47,55,14,84,43,12,13,4,87,6,48,62,42,80,46,30,89,65,5,72,70,81,6,89,4,54,49,79,17,19,81,24,7,30,75,72,10,98,56,98,62,80,34,14,73,30,18,4,12,48,5,92,56,51,67,77,3,38,33,0,90,4,61,90,95,67,79,92,35,66,46,78,39,35,26,84,28,12,76,61,58,34,62,5,41,57,22,32,52,26,87,27,67,29,73,18,70,76,46,8,23,87,48,16,51,32,59,97,91,4,33,70,59,77,14}

{86,97,69,27,16,96,96,24,80,68,51,96,9,18,3,58,12,59,31,87,77,48,88,33,78,83,13,76,83,7,55,89,25,12,51,61,35,38,50,30,45,35,36,6,31,82,29,31,59,55,70,34,58,91,88,56,4,65,46,94,27,73,23,12,28,83,38,50,61,90,33,66,40,26,16,92,93,41,68,33,33,26,68,59,8,61,45,34,60,58,66,26,87,25,47,30,65,7,86,45,29,63,11,27,81,42,64,5,76,16,70,83,59,69,70,14,25,1,10,55,26,84,89,55,28,56,94,29,12,21,61,92,42,3,73,74,50,9,85,31,10,20,4,64,29,60,77,4,16,58,24,79,53,67,56,29,71,74,72,64,92,21,96,9,56,86,19,37,33,72,79,76,18,68,68,86,89,95,97,96,51,66,62,52,84,97,23,55,39,41,16,53,69,27,91,38,52,39,85,60,44,48,86,97,13,99,54,12,33,30,26,78,52,40,50,89,37,6,53,68,1,51,29,52,83,41,31,41,46,78,34,6,31,96,94,0,29,32,76,43,84,88,16,46,88,77,13,34,22,1,83,75,25,24,34,77,1,5,83,22,41,58,46,66,21,34,24,11,79,13,67,37,57,0,25,12,41,35,57,32,5,69,69,76,19,80,86,25,77,69,82,50,79,36,47,98,6,45,67,40,3,56,44,46,68,75,46,7,25,66,39,38,32,2,58,34,68,27,73,25,90,73,40,20,3,5,86,12,93,61,35,18,20,28,32,44,57,14,2,87,48,70,49,78,59,56,20,75,20,61,42,17,66,90,16,32,99,70,56,29,30,11,75,43,68,5,54,76,31,38,22,68,1,30,59,53,32,43,54,22,67,71,73,33,7,19,91,61,18,99,26,32,41,12,27,30,59,90,38,0,54,15,37,44,15,33,10,62,53,16,64,88,29,5,35,92,98,48,18,98,38,55,82,90,0,46,49,4,97,43,84,57,5,71,13,39,54,86,82,53,41,70,4,74,42,77,65,64,1,22,51,47,70,28,50,75,45,44,75,47,92,1,44,85,59,16,48,97,78,27,64,98,55,99,18,32,33,63,7,17,98,0,17,32,49,88,24,77,42,9,23,91,51,2,0,37,43,74,48,84}

{8788730,19820826,4613286,510759358,13,1518537507,18,4357579,620708464,63494745,31544069,1518833197,1025867491,630716,54309,9235230,754332,942812954,289484841,62687750,32582711,482039668,484953384,536994,62821819,1232682245,9378683,920947351,876660725,278432458,834558358,711889,91182,876648810,41183814,2042819,10,4864398,43765982,4378229,10024537,87092,2047674,17081866,767908605,316216859,4174452,743080,2212381,831319007,9304562,284309531,10949852,4974603,1211638426,288764259,9908637,112929,67977690,2323384,37539565,91613,325869681,945013385,482080958,875908583,3298684,9569254,1975760,830624911,2095050,536036708,9467134,747291,186366,886705405,294931557,744971,223193284,21328,62758702,64908,65582307,2212275,536037933,296177751,31159371,518549211,4744033,928386829,535854558,485335938,9610946,2096181,492429,8637,765490,343975241,9549907,500825113,19304766,48281,589627,58346,1209976,944259050,773485319,689,351618,19294239,540090,876605592,39193248,6663965,2095703,65584432,64892,1025892341,517525,830321030,484953380,65354,9433841,831289973,701,288769239,111038,831366272,1984918,350415,2324874,920947674,944996045,753376,90339,769381361,9887306,24404,294192857,34950120,1145047,514666692,990,105414165,7183626,12784305,34299266,111,9544862,9304511,10285431,920861033,621456525,10058314,278877641,9797,9120589,768740220,875220,128942341,453981441,353820,1518777307,40610,1039366239,8834176,768629624,12478,3562,589276,92231,19293470,1246312,686278539,65757353,777458522,480458,7465256,60061087,1518887295,40692253,536571240,4163786,481553513,7533551,63283695,316770296,831583625,16334075,9639768,484953389,620709012,536571247,4926510,4975017,871265898,482695175,937830892,301672380,4777227,37708697,510671116,12784308,769155968,833678513,67574945,91247,945013378,3560,82177,20,55288903,481328128,9419157,611172527,279223060,34236368,749335141,620709018,686278548,1025891940,41116602,10812,472442908,867241168,4386009,157594,746445,126638528,58803316,493148999,19294230,3437948,1518888334,4275828,2096179,10014531,10612643,620708230,2990537,76225,484013291,3542,60533564,45609345,282533945,9822054,485277889,9607823,1025888802,876602697,727321,0,8792248,485335844,34720937,1016251738,344004524,875894492,334366062,4239,9305022,860346513,536037502,239837,544828731,3856399,630289,87761,63117576,9941762,12135,683382,288764251,294203844,80285,65586999,530465,7537448,1025052,186376,578067,519725,69564,112,9908117,9342957,65587847,910782564,530476,8872890,9531491,9383935,2095156,492314,58050,20229608,10024534,10127706,630127034,31900,279344794,41063737,424351765,55947262,9116702,770775452,334584959,485335942,84668100,7145919,5390640,11379246,4414,31879672,485149570,65587865,316811104,91179,476,750388,67548669,10140076,514665356,9992514,4230,8834592,60589695,1663370,1978963,699,590813,511326619,2095497,11153179,41063732,42241,4,60597413,288833991,68080,620708533,531,62167837,833282351,288237493,510715856,4576,501074356,1023912371,945021420,18605,526934617,763493,920948125,7,67571023,9120134,193316034,57286,82178,806638,3474,1326525,65496698,19,48418,10024536,1251001,5391312,9640353,69524619,960304509,5102,2293279,620748186,11153162,860945,29361,472442904,10070071,9120598,1025801181,288762480,344004526,492008,834558359,1976563,566686,66269848,11937,4684771,354,80634,19246418,59445,1972878,944273143,5393810,60601630,8553,9546175,753286,37588082,940533,3097,327300,15211202,630248774,524,103175329,484953400,76314,29274,434,920761775,4328800,343962831,632680,54163,4889185,831583612,673167,288012112,58065,64591919,1044,485335421,537132,1305162,66150,562790,522,9117111,9841091,7194419,920948050,279934927,40453465,622354388,34241909,33264,5394331,768630962,945025297,33490602,765746,101195442,1025140199,17106015,31056553,572324,920947668,700,526504425,60597742,72643542,30393679,3905,492416,920883258,1025891658,37576153,294204493,238356,9305025,485267864,4609625,62757549,48491,103106615,9582568,828993748,548209742,631579,11083378,49418,10072985,343993731,61912,573520,480,30050,58432829,3011,168189908,4317051,34188922,945025311,41159805,314687217,2762641,40644127,4970785,534,9437,1395851,766416845,34188921,68298}

Returns: {4, 2, 78565885, 947326448, 66, 4182, 32789, 101, 523, 1, 17, 1, 91, 19294140, 344003964, 537, 6, 2988, 6777, 18096, 7, 513635, 30, 589660, 11404, 538, 3650305, 6258834, 30, 3411, 12, 5004, 4, 6, 29264, 11, 631465, 79, 435, 2, 510711811, 91, 350834, 5, 9638986, 1616, 316763427, 21, 2567891, 1818929, 1, 2, 3, 2, 453, 48085, 9, 681, 10741, 60, 3682, 4960, 13350, 733934, 6614668, 4538426, 2659, 889, 508124, 484827758, 1, 2, 1462, 2094707, 3071, 9914, 720610, 4674218, 7112692, 81728, 9419517, 51, 850, 12, 99244631, 845780616, 768324, 627982, 37284465, 303619, 9956002, 69280, 60555313, 46266, 522, 491899, 54348, 13734, 7, 2, 39, 9536467, 31761081, 9423571, 482080234, 8, 720, 620708282, 27, 122, 831223326, 153381, 288764234, 6, 68790, 3, 1019, 9304008, 3, 2212362, 423540, 4378512, 2976, 1977001, 51192, 4134040, 15, 55132, 17371076, 85804331, 75675, 690565, 43, 536040862, 5887463, 4240640, 65579407, 8438, 530408, 59, 5, 464, 7181, 9113383, 937828, 2287, 91159, 8, 22, 768629187, 3880, 2, 20, 772, 34236135, 6615, 302, 62757084, 83992, 3093, 967, 78, 1, 186359, 638889, 92313, 63029372, 813631354, 64881, 14, 294203732, 114, 8831948, 2631, 34, 69769, 475027872, 9925471, 9543018, 1850, 752158, 4, 743298, 4231634, 920015966, 932126, 8999, 736818, 111019, 10, 75, 7468614, 639889365, 878998960, 533638, 6903, 58027, 9, 755176, 66884573 }
{1171,925,684815,1,1,60996,176973,69522,38,533,9,807719,67257423,494673,1,1,37297,1,2475721,1079,6363962,887528581,2308,1,5387,3,3594743,36,517334439,53143,1,1,34,867051,789444508,10,38,82773073,8,1,34,1,5200335,168,1,1,9691774,483596,1,5958,993029,5885316,275496851,1,9,996,655,5278381,150,1,240568,35485442,942195,1,540494,906574448,61011,25863000,7338,150471,68388,32508,5,4183,741191517,540,3086207,1,475,42886039,1,487459448,28,789941111,1,5,1,906,9980137,1,941,1,1,9787,8173695,65993716,90,1,1,2}

{1192,1036,684822,176,65,61002,177113,69524,40,719,14,807722,67257613,494673,41,11,37762,3,2475819,1346,6363966,887528587,2349,2,5391,135,3594938,77,517334442,53207,2,91,34,867167,789444567,460,73,82773081,8,11,36,14,5200379,169,1,350,9692161,483604,6,5966,993148,5885336,275496869,23,49,1061,659,5278468,166,18,240580,35485444,942199,10,540495,906574454,61013,25863099,7354,150473,68403,32535,5,4188,741191728,557,3086612,1,613,42886305,5,487459472,79,789941129,95,10,48,1258,9980137,190,972,65,2,9857,8173698,65993862,105,16,2,428}

{963826,34,60340,1,20171458,15649,30904,31,979075,2559950,1,684086260,1,25,441,5,22084,2899439,1,11518,77936,4778,3685140,393452,432366994,7,54609,3724508,497443833,6638,9387,725987,4518,1,1,366772940,581,212721,57,928896936,4882,696720619,219,376049,1,867066,730,1,325593,6510,20,81109749,922,12949,833,1,7,99,1,417331282,6,60356030,682782079,1,265,1,9093,69194,2689,8533089,702,224,2282492,549624,1,1,1,374,4,845,1,70280113,57249,1,35244994,2216,6823,722560063,53470,220,1,1,43597,93145,584139,1,475271,1745949,35702,33580717}

{963884,44,60990,8,20171551,15682,31151,46,979252,2559962,243,684086360,44,30,442,62,22150,2899444,426,11670,78030,4793,3685311,393511,432367060,23,54630,3724548,497443841,6642,9608,725997,4524,337,3,366773088,852,212722,340,928897273,4884,696720661,547,376055,11,867072,730,47,325615,6525,38,81109795,1084,13120,834,26,8,100,67,417331285,10,60356418,682782083,177,469,59,9248,69426,2692,8533101,1081,248,2282500,549627,22,1,11,384,267,875,17,70280181,57459,1,35245028,2609,6883,722560263,53483,234,282,5,43764,93243,584139,13,475286,1745969,35710,33580924}

"WBWWBBBBWWBBWWBBBBWWWBBWWBWWBBWBWBBWWWBWWBWWWWBWBBWWBWBBWBBWWWWWBBWBWWWBWBBBBWWWWWWWWBWWWWWWBBBWWWBW"

{12,90,54,93,64,25,31,71,79,1,9,80,20,46,53,13,64,1,16,23,27,50,77,36,69,54,51,42,12,67,88,2,52,35,42,95,20,10,21,48,25,67,82,63,90,54,48,33,55,81,39,68,70,64,71,1,51,86,82,49,24,54,33,30,35,61,7,1,93,81,24,88,72,32,22,19,8,21,2,20,83,23,93,93,15,28,96,57,71,28,42,95,2,28,15,84,85,32,78,31,34,7,19,25,80,77,35,94,12,80,33,9,88,56,2,67,72,77,13,9,54,92,9,69,39,24,23,66,20,50,81,79,17,54,27,36,21,55,51,30,30,41,74,84,17,71,34,73,59,19,77,77,12,79,90,65,49,91,30,28,10,75,62,4,88,20,23,59,20,44,65,35,22,70,44,87,16,95,50,27,48,33,6,96,95,99,79,78,67,15,19,99,75,27,20,5,38,12,91,72,37,30,67,58,57,65,95,30,0,38,57,79,87,69,65,6,85,64,74,85,15,76,83,22,77,65,27,86,72,70,41,17,2,37,46,62,99,88,28,86,66,18,75,29,32,47,16,44,68,10,61,76,81,9,12,98,87,23,47,66,33,38,36,56,9,3,39,17,23,53,2,70,72,16,36,24,16,15,43,47,3,28,34,82,30,1,12,91,41,24,96,59,39,23,3,77,48,39,19,58,68,77,84,48,38,38,51,24,99,64,18,57,33,54,35,72,13,6,41,50,14,75,45,15,66,5,13,89,53,46,83,99,65,47,49,62,88,1,58,51,84,73,96,29,78,13,93,67,84,0,25,85,53,1,32,52,49,52,95,12,49,10,25,3,42,83,91,69,76,67,95,26,78,61,67,32,69,81,31,99,62,54,57,57,8,3,55,88,77,64,78,68,62,62,76,70,63,40,49,95,1,58,18,42,6,35,76,3,10,46,39,83,85,57,6,28,91,19,31,31,27,23,0,38,30,23,87,13,14,75,38,80,28,16,71,61,9,89,39,42,2,74,73,44,41,28,22,77,29,1,74,67,26,25,19,90,28,30,18,29,72,64,36,38,17,24,58,68,7,20,2,71,6,37,68,28,95,66,20,98,25,45,19,27,63,36,31,49,23,0,78,9,15,90,8,32,23,22,10,72}

{55,80,32,55,1,51,19,17,55,26,24,92,82,20,30,33,77,28,93,46,34,70,38,73,92,60,35,69,6,77,73,17,97,16,30,78,95,95,87,4,40,41,85,65,81,92,23,61,78,94,57,70,93,16,14,46,96,97,21,49,26,5,73,11,69,10,51,14,57,34,95,5,11,70,65,14,73,59,55,52,39,46,63,22,91,39,42,91,81,51,63,58,9,2,88,10,61,49,22,78,96,9,25,71,94,92,19,38,60,36,73,31,84,42,97,32,82,89,79,29,16,80,20,45,43,84,85,40,6,28,60,20,38,14,81,67,29,53,94,18,46,98,32,2,41,66,99,86,2,81,44,55,58,9,45,35,23,16,62,52,21,23,45,43,52,60,96,81,92,43,36,49,38,41,55,80,73,13,76,23,82,7,83,61,26,34,25,3,53,2,4,91,15,16,22,75,48,63,54,63,59,0,72,77,68,85,12,51,25,2,81,93,59,77,40,71,22,84,70,50,44,35,17,7,90,16,2,73,13,77,6,34,21,5,76,18,68,43,34,38,91,81,58,35,10,0,70,48,35,43,66,38,11,86,42,10,47,72,34,1,65,60,78,2,89,10,4,89,24,1,64,10,62,90,71,6,30,78,90,46,78,96,87,46,71,68,48,47,65,52,58,55,59,79,44,86,91,19,24,99,31,20,25,99,46,82,12,36,77,94,10,56,66,55,51,15,83,73,57,95,86,19,67,11,57,37,67,7,84,32,98,24,1,72,81,79,22,94,55,77,52,73,86,51,97,20,20,68,89,65,77,97,4,75,55,59,41,4,36,89,86,5,21,19,95,76,34,74,98,13,38,12,52,63,14,56,19,53,55,33,28,42,26,29,39,26,77,94,87,44,3,47,14,84,22,11,49,12,15,96,37,5,22,79,44,46,32,27,73,44,73,99,9,69,17,90,88,35,68,76,30,42,67,78,94,70,0,23,95,25,32,12,94,48,12,6,27,48,0,10,73,25,27,42,50,13,36,72,14,7,80,0,69,14,20,48,0,18,16,77,77,39,75,86,80,2,82,6,72,64,56,31,49,58,3,77,43,93,52,98,91,95,86,4,34,95,45,14,44,83,7,67,5,90,3,59,60,10,31,10}

{67256615,958,3710,101965,539879,86995077,715531,2931710,42885922,3648409,429811765,43761,6384609,3405408,3632,372521,540526,1014777314,98756,10084936,793168947,925607,315,553176,8639809,241382,291548647,13582786,67111754,25931975,10472105,3523644,277241888,366788447,5209546,65993211,59707702,65993717,1610082951,19845914,4903,722514303,54693,906574482,557738684,42936,67925,94974309,489,548981807,934175252,62840,150882,524778,32678,9691924,86519718,1739152,887581013,0,435901784,75828,1412604,684884647,358390450,95841459,86925522,1305,5361686,372265224,498355388,9956939,682611531,71981,910257196,12143,433599,1304855076,744439,269209927,1718838062,10084935,102948,3599409,8,948787559,5675332,5278499,557706887,927783187,5200583,65993558,3183442,1014032841,10033599,35245029,95838860,7931,3686974,726494,789919685,2628717,12602,32744,8757833,43382,366762621,8757756,67017047,634,1412604,1834675,45171692,5199932,2370144,25927802,2225282,307,42392216,2605752,58730,43759,8845258,7816502,928521065,397127414,390914,65192,6233795,1013785131,557499064,36599210,2899377,412,554015060,25931720,887477288,14014,82813986,2485124,9700814,696684955,741196207,35869228,693821217,37353,823025430,546923,417955479,557727029,376,1373,67257447,45444466,868024,1273347479,392943,59573,683714888,739280485,887533358,394049,682857209,19795614,265569279,6201338,81863,834510564,6398153,376220,906574940,366772508,3687410,696788148,1001,722560972,560810,65499076,2093343,3331070,268373,797686,789795260,95366101,62453604,823025429,42886907,517,25919333,745429,20161045,33580928,546,3739806,9968813,76129,325523,67257605,841,2282496,499891630,955610,28076147,540,5273645,906577001,1263891,86985701,964986,745355,552461143,42968611,305229686,8683191,906579252,175366,3684878,35785175,741124227,995699,4,369859520,792840553,3752272,1336,906559033,4348636,546921,2777138,68910,696866503,792343953,886899599,82909125,6606438,684315623,33585576,10302553,769553906,6809,70106,555263746,378,366819587,4538,1446212,52126,325594,366777732,376210,95771370,3086511,1100457883,2553791,62057447,35706,723042712,1888993,788960954,69143,905707332,240624,1044,744772,2560286,13,908725465,2899371,431978930,13913,204595,69274,681441773,58615,32805,432507519,50183,517,376842,9209241,516,1014302905,1512003663,9748641,41657,9077,67583193,483645,1603295054,707857615,475336,417332271,511565677,43278738,5,6509,325598,928886498,432359828,33581079,730645,6441534,35245024,33255331,9692806,57227,142482032,432371808,33580550,8216995,2475882,5277835,815249,1820,291548647,2282495,789446467,691290,701998953,65000617,6418,12074,26660719,684894028,5226385,82909125,25437652,69550,35232008,9695909,789976813,398791516,906573534,2766052,557727159,724725114,13609461,8756874,834,86994712,310740973,1,468487,86935303,1746451,5947213,6369403,25922313,35244955,907537059,375,1743346,20158481,422,5479,692827223,696720084,295667444,65994256,67257676,6227,76656,887533359,12613,60793561,786854667,789444511,749574347,3122146,25437652,65993784,63717492,275497276,95841460,25931882,5136,8670957,557726620,726980,34448083,701730493,5200982,1738188,5231792,927917913,3649371,1375,2337109,722560596,540837,517,478902,683723805,648479249,6769238,684824749,12470,67262452,12475,66468893,82984831,76507,6158529,37686323,208115,376464500,3090931,3724582,553795,9692879,928351512,823522029,2558065,13660927,3045292,1014777319,10033607,366762622,730644,3812430,3715192,5593669,26756307,575,8748446,461006,721596500,888154,65994129,542,4473,67257610,1006020442,340958,67225338,95633355,1165194,325517,927934296,5200583,1169643,741191725,3178997,5200591,697713754,1014283577,3686858,2282125,59318,68606,741191724,26756306,11922741,459,6429302,326543,1013813281,2485124,2460367,59409,2282124,929437097,1075,6807,2899441,432985871,57375,198079,2351971,5901073,744772,758253,195636,82985633,10038,1014777897,66369606,135302,269209929,0,13,66860786,5726,16447066,789444511,65994254,141081,12013,393507,790903765,69053,28352893,76662,0,979112,417326792,634068,3687477,725988,2282498}

Returns: {1173, 963827, 927, 36, 684815, 60621, 1, 7, 10, 20171471, 60996, 15673, 176984, 31133, 69523, 46, 40, 979076, 714, 2559954, 9, 10, 807720, 684086295, 67257427, 41, 494673, 29, 31, 442, 4, 7, 37471, 22102, 2, 2899439, 2475721, 175, 1085, 11525, 6363962, 77948, 887528581, 4792, 2347, 3685140, 2, 393510, 5390, 432366994, 10, 13, 3594747, 54625, 74, 3724508, 517334439, 497443834, 53143, 6642, 2, 9398, 20, 725987, 34, 4520, 867145, 78, 789444508, 3, 238, 366773014, 69, 587, 82773073, 212721, 8, 73, 10, 928896936, 36, 4884, 14, 696720619, 5200370, 222, 168, 376054, 1, 7, 20, 867066, 9691917, 730, 483597, 45, 6, 325593, 5958, 6523, 993121, 21, 5885330, 81109756, 275496851, 946, 22, 13004, 12, 833, 996, 5, 656, 8, 5278381, 100, 164, 3, 18, 417331284, 240568, 10, 35485442, 60356030, 942195, 682782079, 10, 16, 540494, 347, 906574448, 49, 61011, 9095, 25863000, 69351, 7351, 2689, 150471, 8533089, 68390, 896, 32509, 248, 5, 2282497, 4185, 549624, 741191620, 19, 540, 1, 3086444, 1, 1, 379, 512, 10, 42886039, 875, 5, 17, 487459448, 70280150, 47, 57261, 789941111, 1, 26, 35245000, 10, 2609, 48, 6840, 909, 722560063, 9980137, 53471, 155, 227, 941, 39, 5, 5, 1, 43756, 9790, 93175, 8173696, 584139, 65993716, 8, 100, 475272, 11, 1745949, 2, 35703, 209, 33580717 }
{900293150,21,559620310,883,30462317,4155,1997,11670,45325237,61,42117,1,1732461,1,560,8211,755,1,89028,198013,1,1088,6900,1360,4529467,5655368,83833,1,1,340672,1,879543,90716673,358,1,2268907,541,1298328,45278264,1,22,6,2488492,2735,1416205,1,4911606,2178266,412608,6529827,1550,56138,92,250162,816614689,1,720742885,92376606,376,9496740,1,823761,6708961,46171,1,1,8,79654809,688,1,15008436,1601,29281,818,74,380763,9999754,96187498,6877,554846081,1508639,814,759,1,805233,25578226,832,926615582,1960109,3074,1931,4108060,924038295,8262,728495,3487716,1,19657,66012762,307}

{900293151,36,559620351,915,30462319,4575,2013,11671,45325252,102,42135,8,1732492,1,563,8220,844,36,89032,198064,12,1195,6925,1394,4529485,5655377,84185,4,1,340842,254,879592,90716676,609,2,2269179,562,1298329,45278304,8,23,39,2488499,2776,1416222,81,4911617,2178278,412610,6529839,1556,56152,92,250319,816614693,4,720743122,92376607,395,9496740,3,823823,6708975,46418,14,55,112,79654914,713,38,15008458,1740,29295,835,75,381045,9999847,96187540,6945,554846473,1508684,820,812,87,805555,25578313,883,926615920,1960198,3100,1932,4108075,924038324,8280,728513,3487773,1,19712,66013012,679}

{45324908,669995,53642,759701064,2880,3318,658658,1,80830,1,480609944,3169,4979411,74058442,6152194,3718,1,687,271,207,1,44880328,69102728,195431184,1,83220335,4,6513,9,32,879812220,14,76,687416,5988,176213,872610,58673600,7993324,313314961,6772658,54632719,17498,56439530,37576976,9864290,427527,404,7,1,20,57631571,53924728,6794102,666,6171,3639,473556440,4923,41186,1,3461589,961125,20388,1,633136443,19299406,423684,74576,66,1,103724,35156,16483,1,1,213,3492,609527,905708,84051893,32870,643,601776,13,70645782,9898086,1,132043,97411,79466046,113582201,58,86008,207226,1,270909,334,52919,98}

{45325085,670061,54001,759701092,2893,3322,658667,4,80858,21,480609949,3203,4979559,74058568,6152239,3732,82,785,350,228,35,44880349,69102827,195431507,1,83220336,144,6516,27,40,879812294,19,78,687567,5988,176374,872714,58673601,7993393,313314964,6772659,54633071,17502,56439597,37576981,9864427,427754,507,34,1,26,57631656,53924743,6794110,668,6173,3645,473556474,5008,41260,1,3461591,961126,20397,14,633136470,19299448,423705,74620,71,11,103840,35261,16778,315,209,226,3495,609553,906332,84051901,33151,733,601825,15,70645824,9898166,41,132044,97536,79466047,113582232,58,86190,207418,77,270958,365,53048,416}

"BBBWBWWWWWWWWWBWBBBWWWBWWBBBBBBWWWBWBBBBBBWBBBBBWBBWWWWWWWBBWWBBBBWBBWBWBBBWBWBBBBBWWWBWWBBWWBBBBWWW"

{16,88,70,6,61,33,49,23,75,50,45,63,1,68,46,36,94,88,21,50,88,78,92,6,40,3,49,14,80,47,43,27,32,84,84,5,98,76,28,87,91,22,73,14,23,91,29,6,12,82,4,21,44,56,94,87,65,94,88,19,62,13,85,31,47,33,90,30,69,57,37,74,51,93,70,37,50,59,19,20,93,88,64,51,41,50,16,0,87,37,8,17,40,53,7,35,88,42,60,17,86,39,66,16,14,66,73,13,85,49,51,93,12,57,34,8,90,43,46,67,32,19,69,32,36,2,42,87,61,39,2,36,38,94,18,71,97,7,9,58,32,43,28,52,92,97,89,64,47,39,43,73,34,61,17,88,73,15,31,12,35,6,20,9,30,97,41,61,14,23,3,11,29,38,19,8,22,0,93,12,70,72,29,38,66,19,6,97,57,23,85,89,51,33,49,40,60,45,73,3,33,28,64,51,78,0,25,35,0,94,45,59,67,0,20,13,32,30,52,70,36,73,26,31,4,96,41,72,50,46,87,6,30,54,80,88,62,68,29,33,22,71,78,31,6,33,3,31,4,57,43,83,52,30,54,38,13,97,92,73,41,81,32,64,58,17,78,19,76,21,82,90,76,75,5,27,76,6,26,78,86,17,92,88,90,72,2,5,67,4,28,21,35,18,14,92,42,51,87,99,88,17,48,8,36,71,70,27,91,66,12,10,20,47,58,28,33,29,46,17,31,75,79,44,92,7,54,4,72,28,77,41,20,55,98,11,9,44,68,22,13,87,16,30,7,72,85,36,84,34,85,70,90,82,21,78,86,32,67,71,84,54,69,5,8,33,92,66,79,13,75,2,76,2,13,67,26,28,41,3,94,49,51,4,55,49,0,88,40,61,3,6,83,39,70,91,59,67,17,15,49,76,79,5,30,67,14,13,99,81,1,19,52,76,41,94,77,21,73,48,4,50,3,86,91,4,9,94,27,35,9,50,86,17,69,54,99,37,73,94,22,62,50,98,46,13,2,42,35,39,3,44,65,59,17,69,1,53,94,91,98,18,83,61,20,97,46,5,58,39,33,12,20,65,62,37,59,90,68,46,17,88,46,16,68,42,3,48,41,63,34,92,99,40,74,44,93,27,93,60}

{83,12,41,63,97,80,66,99,53,90,13,88,7,58,30,20,63,71,23,97,0,58,53,92,93,57,48,41,28,1,0,39,89,32,80,36,54,91,10,27,98,11,16,95,25,86,47,99,10,48,38,68,24,57,10,80,47,88,3,53,5,16,95,64,62,12,10,2,31,25,25,20,56,47,66,84,19,45,32,20,88,93,29,45,76,89,82,17,53,45,49,52,64,35,37,85,18,74,72,44,50,9,44,91,17,39,45,4,46,42,45,37,31,51,72,48,59,4,6,29,2,96,69,89,96,9,5,78,32,4,79,64,77,33,12,89,85,12,26,52,98,33,79,54,10,62,85,27,86,0,45,77,64,27,50,90,71,36,79,31,62,79,78,9,7,90,36,71,9,70,46,88,88,6,15,36,58,57,98,0,3,68,6,39,8,18,12,99,22,22,16,38,75,17,92,52,50,33,23,83,71,9,37,63,39,27,89,19,56,78,56,52,63,21,31,57,16,55,9,51,26,84,40,48,1,45,7,42,50,93,95,85,68,66,8,80,0,71,22,47,39,48,76,72,23,12,63,24,39,75,48,6,99,11,62,70,53,44,66,6,91,43,39,94,71,86,69,12,8,40,81,28,39,44,30,11,17,93,71,26,7,75,58,47,82,30,48,78,73,99,86,93,91,85,59,94,31,38,0,38,18,47,38,11,44,52,14,95,79,42,36,40,43,10,12,65,32,20,69,34,57,98,44,84,51,43,95,76,96,54,10,21,49,34,29,82,2,52,33,65,3,2,8,88,86,71,31,58,54,44,76,79,2,43,99,37,91,8,92,10,91,2,27,8,17,26,92,81,83,27,53,13,48,84,99,22,36,78,81,55,1,56,69,84,88,2,44,30,33,36,50,44,80,29,86,91,32,2,34,88,33,26,32,0,80,68,51,57,11,98,71,7,54,27,62,14,70,13,1,56,99,38,81,20,8,24,78,53,80,81,12,46,85,10,58,48,16,2,15,7,40,23,93,85,37,94,2,58,21,49,6,97,70,82,8,81,49,48,77,35,78,94,79,71,84,97,31,98,68,96,85,99,15,21,34,51,72,55,58,30,8,82,10,14,24,98,37,7,29,56,8,63,38,52,85,39,12,71,45,99}

{602540,5075204,69641256,682432,4265291,84872788,25829223,195432483,6924719,79466402,64194200,2025653,681694,69949,884296299,873174,869342,1986762,150551353,18497,943525900,611071,930582208,924694913,6694906,378520326,6117228,48481193,85560555,2847843,911404960,313308451,90811041,89911181,84755005,873310,750654061,119473760,480652061,926622426,175434092,69106565,16757,9639347,117865156,107791299,1838005,660260,477320745,412431,22806459,44806252,40690240,1101919344,481088898,1009159124,635314279,1307052,761528329,6845988,7662200,74059162,92736390,879579,5491375,6024259,401184105,1439378915,879625,477057374,28903778,74,778314901,2255549,34307828,59166359,196709,19319796,90518756,1,1997938,1997937,340698,47823387,64632457,99019,622,945617339,933159856,50107595,38876245,53924050,6772668,8636627,59960256,93778985,2002871,2505919,64437,38992421,9898739,313315052,19693788,117689445,6151972,294015567,9848326,104517881,90884986,4058831,47823388,59877644,5832454,508245358,58453,44993456,88919666,86896219,5140728,79737798,468957234,468771,0,90811041,602245,559673894,2498105,927218569,93354419,343774400,5626452,873162,58899134,1208154,6622695,7562,96204051,6700373,83752,53920060,24756635,55754513,555752141,870538673,1404606078,7650017,96123529,6510,12075031,1168283143,46577967,96199927,5985,4278848,2307,81292249,87872,876553,554872569,5832454,5224951,555091491,616410,0,879823888,79483464,53760768,4179902,6152665,210438551,764184273,2089038,1751511,52610986,193347,46116469,69104409,1236148048,66037696,938906075,774708626,67986,997285,350599839,64543809,109137,6051377,19663,496823332,126334219,96223290,53171062,57956199,687005,917508551,47152151,1572,9177176,195415304,759100155,585066,108,59971916,57621153,312712306,945611606,88775115,2246854,224871355,1123741,730603722,63380199,80011940,900736581,879590,491874635,90715917,879806050,53924743,72583856,955883,821460,6856463,466975,31129463,9593405,54644494,2476874,0,5244853,923128199,95563452,879738357,835913420,127787624,84371346,937948032,30172,69436538,2864888,244219063,514604,10602289,885441,194773472,6024259,759725977,3649916,343774401,565552304,56849382,58842,53924858,879809052,810866188,38263213,67514501,38973131,943337660,643081,63057433,56408420,404031561,935898,100120,9898197,616332,6513763,35406013,38108859,32426,79467957,323314595,38612428,879813472,3346,10000413,578918,185830,686482,9908882,381555,924042854,349684,79466523,879806343,559261365,608521,80060921,30464788,9898958,44801419,115245141,96134771,15607185,923517181,1626402,94860299,71647734,53271246,2002872,2178599,52859037,45402890,38120029,53822645,21160065,3494227,663414372,21770392,5838871,473879402,56442300,482745631,6706705,633136458,91403669,340710,5339057,5207,565053488,65685254,590101003,38187633,981613689,56448449,813127623,20465136,265052,816615335,576751822,9753675,6529828,184,65725319,3338,559673894,17763889,613208,564040560,685643537,367049217,45405241,881640354,9908882,96127,95344531,867834,815809786,38987215,86224061,540743719,639030811,56440847,44881131,59355518,107791299,45472187,844807151,480546622,116884708,257047330,6454,45398185,45405292,770896,1,19267151,555150334,74051932,6924719,633625139,9587444,558868414,74058655,148327014,955883,616391,54600580,759695811,1191108,714216938,57687642,29659628,2086051,553144154,906624919,881640354,6085568,3412187,759701720,38332534,84958748,313655601,24905645,1,81261048,480335582,5207,2080291,7216897,9916220,465035412,945610232,797269008,80003220,51534967,491874635,3378,66032150,568022,186611,870538673,10006144,60380662,6672716,81182556,29179294,654107,720334149,30464788,53270080,759668101,9898977,154718540,25935716,616322,7065028,85554060,2411258,6711956,5337562,86325144,480651299,5261,816202739,507,616941966,20415,924238,62337068,201177958,92710,111027481,61859350,74579527,1,2500654,46971833,319844791,759043547,38973131,648144893,9536474,45405291,33801,7199852,6956544,95662926,115245141,66562621,846560,555150334,4179902,805569,0,4459545,66058141,69949,313044034,95536335,6711637,11930,588257312,7664101,2284208,9473488,79461806,69949,884296299,45405292,2090767,485051894,6152350,4603343,63560036,702324923,400945,54973463,720713693,45400086,924012482,53271245,47152152,96224047,277154205,6617762,98945,9786515,406}

Returns: {900293150, 45324965, 36, 669995, 559620335, 53642, 904, 759701064, 30462317, 2880, 4574, 3322, 2012, 658658, 11670, 4, 45325242, 80832, 102, 20, 42134, 480609944, 8, 3176, 1732488, 4979554, 1, 74058443, 563, 6152194, 8219, 3725, 779, 82, 4, 785, 89032, 329, 198062, 222, 12, 12, 1194, 44880346, 6910, 69102805, 1374, 195431316, 4529481, 1, 5655370, 83220335, 83833, 40, 4, 6515, 1, 26, 340679, 40, 1, 879812220, 879578, 14, 90716673, 77, 362, 687432, 1, 5988, 2268908, 176230, 557, 872614, 1298329, 58673600, 45278264, 7993391, 4, 313314961, 23, 6772658, 39, 54632800, 2488495, 17499, 2771, 56439530, 1416220, 37576979, 45, 9864290, 4911606, 427527, 2178266, 457, 412609, 9, 6529828, 1, 1550, 25, 56149, 57631573, 92, 53924728, 250164, 6794106, 816614689, 667, 1, 6171, 720743117, 3645, 92376606, 473556440, 376, 4969, 9496740, 41189, 3, 1, 823769, 3461589, 6708964, 961125, 46180, 20397, 11, 14, 42, 633136443, 56, 19299448, 79654809, 423692, 713, 74576, 13, 71, 15008436, 11, 1728, 103732, 29282, 35159, 835, 16754, 74, 23, 380870, 176, 9999840, 221, 96187499, 3495, 6879, 609532, 554846176, 905935, 1508680, 84051893, 814, 33067, 812, 643, 69, 601807, 805555, 15, 25578266, 70645782, 883, 9898092, 926615724, 36, 1960172, 132044, 3074, 97519, 1931, 79466046, 4108071, 113582201, 924038296, 58, 8276, 86009, 728495, 207416, 3487721, 54, 1, 270930, 19709, 363, 66012881, 52919, 307, 103 }
{75,21,116141924,147,161495327,1,48,6755561,21373124,5313,7314,1,55200672,5391,70475,97146,2,1,9198,137166576,55943,86863,638989,8348,1,317389649,1,9723,8445335,148,93472651,39231,1,9,5786,742657605,13864,1,49742,8765,758897,57370,68260,81085,43439,338645,308784165,929813360,1,666341788,173877,1052,3143686,70131204,2564,6826054,1,24353616,16292164,3038,45209954,922,74949,4053,234277273,1,34850,531767848,677,368810,724,9430474,1,10217490,1,2477,1,1,3428875,1,98,5,515538,150368,5772878,106794936,3232857,508077136,1567,49857630,7263,8,87712,40,26,752370,71129334,1,403099603,861}

{86,58,116141935,148,161495480,4,186,6755581,21373124,5316,7534,35,55201062,5512,70483,97146,5,4,9198,137166576,55954,86869,639168,8377,128,317389675,7,9810,8445341,277,93472762,39247,3,402,5862,742657608,13956,18,49918,8807,758906,57738,68261,81182,43512,339096,308784474,929813377,10,666341792,173901,1078,3143728,70131766,2855,6826148,3,24353626,16292221,3433,45210040,941,74968,4222,234277279,80,35103,531767900,695,368815,1125,9430616,2,10217499,371,2546,20,54,3429109,205,124,7,515545,150371,5772881,106795387,3232893,508077172,1574,49858026,7370,10,87727,99,49,752377,71129620,9,403099609,1082}

{2,62,45174,21932113,4490560,2,83557,79402530,26,6449,9928679,63506,29583638,695837801,1,1,87785,52126574,1,1,431146100,72,1,448,9964,35,1,526,3098,73272,607,315204585,99008,34,716,265112,27636276,88255965,81385,3,5314174,602598,1,8,15846,459,5,1,1,1,20861129,46,1,5555118,95,584820021,69254565,456041,6563,67240,9525,212729627,149,1,1,746839,13131085,4893,219,5,7899522,32748248,1,82814081,6502,1,22716164,31,241517,5575,27,1,9,56208,37,145694207,772723,9678,1,105,2073688,6767,678991,3253,5882,1,48159,6314656,5483148,940162}

{10,69,45174,21932116,4490586,91,83844,79402562,77,6717,9929075,63516,29583737,695837803,2,4,87797,52126697,31,4,431146103,80,113,649,10000,48,5,755,3113,73699,778,315204604,99075,71,755,265155,27636402,88255966,81483,20,5314283,602816,3,13,15850,630,5,2,9,202,20861153,121,2,5555135,158,584820054,69254809,456067,6607,67505,9547,212729638,252,37,2,746897,13131332,4923,228,141,7899523,32748457,56,82814181,6503,193,22716228,54,241520,5959,47,2,9,56234,213,145694389,772764,9779,12,232,2073698,6807,679028,3430,5886,342,48406,6314677,5483153,940166}

"WBBWBWBBWBBBWBBBBBBBBBWWWWBBBWBWWBWWWWWWBBWBBWBWWWBBWWBWWBBBBWBBBWBWWBWBWBWBWWWWBBBWWWBWWBBWBBBBWWBW"

{62,40,26,49,57,41,79,78,72,32,5,49,89,8,30,71,66,88,64,54,78,10,40,52,63,24,35,74,2,77,94,88,14,12,53,91,61,99,69,46,58,89,91,60,85,67,28,98,28,2,27,20,95,98,49,34,24,77,34,11,0,21,3,61,59,84,44,84,30,75,54,56,81,42,8,35,87,91,81,75,33,65,10,62,56,8,78,2,13,2,6,67,52,50,45,17,3,2,35,39,45,62,43,49,47,65,60,92,27,71,55,5,8,52,42,76,35,84,77,69,4,26,71,25,55,66,59,39,8,47,91,26,86,52,20,0,17,17,98,61,99,4,52,3,92,78,53,70,74,17,73,16,55,76,20,23,16,71,33,69,42,10,11,30,86,66,36,9,65,34,2,43,0,16,14,79,7,18,61,77,78,61,60,5,97,77,73,85,63,18,45,25,77,3,9,18,39,28,61,37,67,12,66,48,18,98,83,86,49,23,28,57,72,45,45,46,99,17,40,84,34,8,7,55,50,78,89,55,0,11,2,75,85,91,94,94,53,70,28,89,87,81,53,62,60,37,96,76,72,67,13,2,5,61,82,49,94,89,44,63,72,92,31,69,58,89,71,23,39,4,70,61,84,67,2,96,95,63,50,60,56,25,70,1,1,35,94,65,89,39,21,76,37,78,27,0,87,69,62,50,23,57,86,83,39,52,89,91,81,84,40,40,72,23,55,77,20,44,39,78,11,66,73,88,8,26,85,9,96,61,0,49,37,33,99,30,71,45,85,78,50,82,30,5,36,32,89,81,91,68,72,53,48,33,13,82,42,21,37,90,11,44,74,78,77,78,43,33,23,7,66,89,27,39,95,26,38,30,60,30,90,86,70,49,15,88,69,91,72,44,41,11,53,73,55,6,52,25,64,31,37,56,87,75,87,41,40,51,48,16,5,88,64,53,26,64,94,7,13,96,55,66,87,18,43,71,63,99,33,46,40,95,95,78,48,31,78,28,13,83,30,99,44,86,65,27,34,10,62,52,73,87,3,90,67,22,14,19,80,56,84,87,36,99,11,31,32,64,77,67,78,3,27,87,51,7,97,11,37,82,83,92,57,91,5,84,27,11,68,12,59,57,53,10,15,17,21,85,57,71}

{36,90,30,17,7,77,2,43,38,50,69,39,63,57,15,26,28,0,13,37,95,63,84,81,12,89,69,97,80,74,87,99,55,78,55,24,66,98,31,24,88,10,38,67,97,78,72,17,7,25,96,59,41,83,19,32,70,12,13,91,86,29,71,66,1,65,49,82,23,91,17,67,62,1,74,66,10,55,95,19,73,70,19,24,66,58,36,59,71,97,93,45,7,7,29,12,21,16,89,9,39,52,63,44,46,62,48,44,51,16,78,43,41,2,14,91,83,96,81,23,72,71,5,74,32,97,77,10,14,92,76,58,58,80,33,26,10,27,26,19,5,41,84,8,3,24,8,36,22,51,34,35,18,39,32,87,27,42,93,44,90,13,7,97,50,23,98,74,86,48,86,74,18,70,36,0,27,9,64,7,54,7,20,39,55,36,79,4,3,86,52,36,95,47,69,25,68,72,6,19,60,83,8,65,20,26,39,11,47,55,89,52,94,69,84,90,77,54,92,40,35,6,75,28,93,38,61,52,50,33,25,40,87,25,13,63,74,73,33,37,25,45,29,80,87,3,88,89,66,64,89,94,38,11,4,10,14,97,0,16,63,69,12,26,31,47,9,3,4,89,6,14,47,80,46,24,45,34,96,10,43,99,17,40,22,5,21,16,92,17,35,43,88,17,59,81,5,64,27,81,34,31,57,83,54,31,79,20,89,89,22,32,74,65,29,59,72,95,68,8,26,38,95,30,26,24,97,9,43,54,15,35,92,84,39,87,71,80,13,81,97,27,94,44,0,81,49,40,29,74,78,80,23,5,19,91,38,3,41,6,82,86,64,99,19,30,62,11,17,26,4,85,80,52,76,42,31,62,26,17,56,98,81,73,51,64,69,98,88,2,2,98,41,41,53,23,94,65,73,23,45,19,15,55,33,59,36,33,56,86,21,77,78,86,66,27,40,22,30,98,13,48,26,75,97,45,66,74,25,96,71,27,7,64,73,82,79,16,66,15,6,86,65,76,9,49,4,86,37,61,89,15,91,8,51,83,42,23,93,57,48,32,57,60,48,15,60,32,17,78,67,21,42,26,1,65,27,13,48,53,30,55,27,60,31,75,32,23,19,78,42,38,67,14,36,98,97,1,37,45}

{27697130,3992111,93473305,718468482,96544522,660068,116181480,3589303,131299,20935961,368812,666333029,49853943,3436534,93376162,42178935,21538451,1494,930109565,88258430,2918022,9932047,10328222,3143718,84780482,49867905,742553944,6308163,116186961,6497,508080968,940877,591575613,81114277,642570413,3235,199632479,407641731,315534146,308794199,16297183,59779087,124525,486562472,246174952,528575618,8448439,449743150,81089213,201292855,71167150,431131524,1297801,408376174,529175214,104205,7890482,84784573,695837432,56744,4005562,159906,20246676,199632479,70423,6519683,666314196,5257372,93464345,9232,52129165,601017785,75135,68292,21379590,755488663,517988545,591639315,752368,137164103,93031481,7153644,147087748,84747,56158594,5087523,30809737,116161203,672514541,122411412,80158,531433372,83014409,65123107,411435,77744089,22018761,116184538,693064625,10145,330626,3068968,76902,666314196,621029167,821594,45219560,707436,9462,42091150,587975697,81090,21918526,113043379,2218,22709461,742716174,65404796,91,361082,165985888,42178934,42178936,317396105,591547024,6851560,70421,9929933,21302671,930404649,22709461,16298752,13825444,3143671,431201863,88,42205520,52135748,408582752,349895265,941023,165325724,2629193,43305067,21340694,3660395,54313577,19749716,645492,52127702,93025085,742834970,591636893,22724970,431102978,508077880,96836,42110678,3402,341212,2134592,685911118,86094622,99786724,23147403,13157204,425238832,5501,3258813,6568,113636626,87570,9119,7812696,27692852,5621,86147570,10583,447005963,86158035,3667736,140081718,476290667,8767,585331426,27650101,93026038,195903927,21936157,3996454,2805400,345011987,752370,951745342,370190,317380490,8309,8448440,212646937,225422534,486562472,84578088,34469310,746831,431192846,408582752,197814,3942140,263471587,591637071,41415674,21665958,5931,30483,5434523,310850539,940927,52129164,5306453,10328221,742916180,21456616,86155653,586436192,21031529,3539095,262586603,588502367,21034937,63544,201292855,6070693,546966531,317396370,695837378,10027,75680212,85131180,8448261,138113872,190697215,339387,75613255,74998,462867334,66323991,71176140,72574124,13166221,297495494,745690205,116181170,131299,212667060,165470344,676262961,76315,56172567,59195,91970,4191,960081,340782736,368811,331450915,879955461,42166925,21939692,165977122,116127759,7816849,212799168,924040531,531772623,192687450,71167712,414051,2388,91768234,55121683,69335881,318328917,44228132,6073076,639031,742922755,92631,659057,50449188,52135454,742835816,22797287,88257530,55314055,73500,84,508086899,233908469,65700,21035021,2584,339062889,21437419,0,6289,318309062,49863455,431195267,49858124,44085216,5434173,5974108,6510,754562,591572621,70421,431202042,724780,8309,18185737,63509,13064723,92279289,93471735,21373145,9998,246174953,1,71096622,212731161,97068,76580968,87664684,5772801,948065,414613593,1,339251,656933133,3670387,14720363,506474,93477906,59283,27650108,99069,616483875,6073167,66694,6944,3670393,75686582,9013,179,832998866,522287,99749,22018762,87710532,1997430,579031,3946367,234283766,4126666,137166571,90284707,6323,63544,52134417,86158130,170100980,202631485,10421,3134963,23468584,68257,315133852,93398167,45219564,145598763,67188474,404577104,7900475,738938460,96136,234275702,1,408575980,1575,116127819,116642184,408519244,75026559,92371497,642570412,91241,3149559,318136450,306873945,315234813,88594280,206421380,507989755,591643610,508086720,589646,23066998,966,69254801,3917865,86940,1569,231089912,71681073,13166221,234268218,6067241,85519134,789304361,337405043,117838340,13166216,508086898,6724,6395732,41839544,13162035,934512,317389570,237703245,36105764,743318,85405760,231089912,93031653,315680870,3664771,8530021,682736081,109438,93555586,3399436,774431,25176341,745453,666332733,165979313,12381304,88330713,215872412,122454585,507989756,21925487,23439429,531771666,544846,2218,137158851,3410,93152353,5772909,508166436,51519923,46139813,63504,315262486,45299573,234376337,52126698,528575618,528575619,22018761,59206,508086897,1041,85411296,6323710,695779800,88255965,75171180,93377916,590879369,24799119,45212792,315243830,5770435,108120,71225,137166124,81114276,132706,24678382,467186520,9991651,27719519,449743150,6401447,252489519,112153507,41839543}

Returns: {84, 8, 58, 69, 116141925, 45174, 148, 21932114, 161495327, 4490562, 4, 8, 113, 83574, 6755571, 79402540, 21373124, 26, 5313, 6690, 7521, 9928692, 13, 63506, 55200899, 29583673, 5512, 695837801, 70477, 2, 97146, 3, 5, 87786, 4, 52126575, 9198, 11, 137166576, 3, 55943, 431146100, 86865, 80, 639051, 71, 8373, 649, 44, 9964, 317389650, 48, 7, 4, 9810, 755, 8445340, 3105, 182, 73290, 93472664, 645, 39247, 315204585, 3, 99065, 118, 67, 5860, 720, 742657605, 265153, 13906, 27636276, 17, 88255965, 49907, 81395, 8769, 9, 758897, 5314274, 57370, 602795, 68260, 2, 81085, 12, 43439, 15846, 338860, 534, 308784204, 5, 929813360, 2, 9, 9, 666341788, 4, 173884, 20861129, 1064, 57, 3143724, 2, 70131528, 5555118, 2633, 158, 6826065, 584820021, 1, 69254687, 24353616, 456067, 16292168, 6593, 3223, 67296, 45210028, 9541, 941, 212729627, 74949, 194, 4184, 13, 234277273, 2, 9, 746839, 34923, 13131134, 531767848, 4918, 680, 226, 368812, 9, 945, 7899523, 9430475, 32748292, 2, 6, 10217490, 82814081, 16, 6502, 2546, 75, 20, 22716164, 51, 49, 3428879, 241517, 85, 5625, 124, 47, 7, 2, 515538, 9, 150368, 56218, 5772879, 39, 106795098, 145694256, 3232889, 772758, 508077136, 9764, 1574, 4, 49858021, 112, 7369, 2073698, 10, 6768, 87722, 678999, 99, 3430, 49, 5886, 752370, 5, 71129347, 48365, 9, 6314657, 403099603, 5483148, 864, 940162 }
{38,75,361329844,29779251,9778892,1,1,36,52,97037,53658,554,45676870,6146,668,6821,288602618,1,52037212,4292522,55280,52160633,79,7314,1,1,1,72605074,91288914,4258,1,4944,1,44691,18366,2458625,5280,72,9364988,1,53950104,1,730679559,555,23063,75874,9788,6248812,896932058,649034895,4899397,837490898,169409,1,878345385,53802149,1,7,796996638,9602026,21,8524498,192830,6880214,16080925,515499286,87,707308,234,1,32107,9004640,491754,325165,40828869,54742,13,922151,982,8,937303536,6341,27984384,184,1880,9178825,2,4670,9311,3157477,901020,21045,969477794,134899117,7256,1,593,1,1,388109}

{96,75,361329917,29779410,9778901,4,82,53,70,97056,53884,561,45676956,6177,705,6912,288603068,70,52037354,4292539,55283,52160702,79,7314,16,3,2,72605077,91288957,4528,18,5479,178,44789,18405,2458755,5284,146,9364991,1,53950183,4,730679598,568,23356,75957,10204,6249106,896932062,649034955,4899397,837491270,169415,112,878345401,53802276,5,16,796996670,9602027,28,8524527,192851,6880255,16081042,515499553,192,707312,247,17,32228,9004655,491794,325542,40828899,54790,38,922173,1301,34,937303601,6341,27984394,476,1886,9178852,7,4672,9421,3157484,901045,21132,969477844,134899119,7649,33,709,105,1,388111}

{6015704,90887710,21,44514147,58090189,89,409,48597,28726,18,390959394,3516649,85584190,4,9852,100756,2107,753746684,7937692,1,40831579,3,425,7897,443,90,1,4647,889,494020632,1,220161,68696140,1,637268332,51047498,229577759,715229556,91,437894956,8847,11,35906543,1,32886873,7599,1,90705,1,1,1444183,1,206551,10451,93030,1,67536095,4883,8033,1,976602488,172,321,60,63805,1134,605905,3925,41664,83294038,71,1,1,1,84066198,287778,1,85468,800976716,13202966,10734259,554,94185966,198659203,1,573386,493687279,83173535,5626691,7704642,83122054,903973486,1,9249,231,1,9015707,91191745,710303817,98}

{6015705,90887729,141,44514178,58090266,91,413,48990,28728,81,390959395,3517401,85584307,19,9994,100787,2196,753746866,7937698,4,40831581,11,432,8122,445,131,91,4696,893,494020640,2,220381,68696143,2,637268332,51047505,229577780,715229626,142,437894958,9117,97,35906551,32,32886878,7699,107,90733,38,12,1444346,282,206630,10463,93035,75,67536134,4885,8052,16,976602522,190,363,60,63833,1200,606241,3951,41668,83294472,78,297,2,12,84066200,287888,4,85665,800976750,13203190,10734287,780,94185981,198659204,36,573401,493687285,83173609,5626720,7704648,83122066,903973588,73,9305,232,9,9015710,91191745,710303824,122}

"WBBBWWBBWWWWWWWBWWWWBBWWBWWWBWWBWWBBWBBBWBBWBBBBWWBWWWWBBBWWBBBBWBBWBBWWWBBBWWWBWBWWWBWBWBWBBWBBWWWB"

{54,25,85,25,32,86,87,85,84,24,19,47,87,20,58,31,47,17,11,54,97,64,86,84,23,73,36,94,81,84,2,92,53,86,28,86,30,35,12,92,99,45,5,70,44,20,31,99,26,72,47,86,40,17,51,16,81,42,23,60,3,78,72,55,13,81,23,65,18,34,80,5,5,54,17,2,79,45,71,39,45,37,61,27,83,77,89,66,33,11,81,68,40,17,19,60,20,86,71,91,51,1,72,87,86,82,97,81,90,18,67,34,93,78,73,16,69,78,67,16,81,88,50,93,22,45,56,68,87,37,5,24,24,64,63,2,68,48,91,91,61,50,49,54,1,62,30,57,13,25,42,39,80,9,48,62,84,15,21,15,73,14,28,85,60,12,88,48,49,69,84,84,54,6,77,60,91,93,37,19,86,88,8,38,24,52,50,47,55,54,53,52,89,1,76,3,87,76,91,73,29,59,57,72,86,14,46,90,36,28,60,97,72,51,59,6,37,28,36,94,79,97,77,97,86,99,74,85,49,77,53,14,15,55,3,82,74,17,96,23,47,11,38,68,71,10,92,88,70,1,7,81,48,31,26,44,12,85,50,44,24,23,6,92,56,81,19,92,67,40,53,3,51,70,87,18,36,28,95,58,72,69,85,44,91,72,91,59,49,83,48,28,90,91,86,14,77,0,18,85,65,13,94,43,54,97,40,71,28,50,32,92,52,16,97,93,23,32,27,57,55,85,68,20,78,73,5,57,94,18,90,8,87,49,92,74,57,37,52,62,58,78,87,42,70,36,86,76,99,39,1,63,90,83,66,49,30,81,12,20,45,43,72,0,91,98,32,11,50,73,89,72,28,19,54,83,17,59,10,85,94,25,11,6,42,14,78,47,2,94,92,17,49,5,93,22,53,76,78,11,85,46,22,80,12,61,63,14,84,6,79,45,47,81,52,81,56,64,37,36,2,44,49,10,31,15,17,38,53,95,46,60,48,22,55,82,46,78,85,39,7,58,1,2,78,13,76,12,73,90,40,90,78,49,84,16,39,19,20,9,83,0,47,99,44,42,55,97,40,66,70,93,97,19,4,88,42,27,31,7,10,6,24,24,81,2,19,98,73,20,91,52,51,63,19,95,51,97,18,49}

{27,98,90,41,65,65,11,70,22,71,77,4,33,84,5,97,17,49,26,70,84,18,24,34,84,98,52,12,38,82,20,78,17,20,33,5,67,83,0,56,21,90,59,42,18,25,68,87,45,11,59,94,5,15,6,9,83,15,4,6,22,95,13,68,5,38,13,85,62,42,51,54,60,26,29,93,34,25,55,88,65,99,76,46,89,85,57,5,22,26,12,70,14,68,1,49,13,15,47,12,84,30,22,57,33,28,93,27,59,10,14,28,98,4,69,71,17,97,5,31,34,44,2,28,81,11,93,45,32,12,77,45,25,97,40,32,74,98,99,29,92,37,75,70,56,23,76,43,90,58,69,80,87,13,77,35,10,64,85,98,67,93,89,67,65,60,31,80,39,61,29,36,3,16,72,90,59,92,51,29,88,35,63,76,7,99,31,81,69,76,68,81,12,78,88,40,18,51,90,30,20,31,61,71,33,34,21,30,23,22,1,58,32,80,98,58,18,90,63,72,26,98,30,68,90,71,24,4,33,38,30,77,64,49,29,94,97,19,10,6,83,46,66,80,71,87,59,22,50,52,16,68,70,39,84,88,14,97,10,42,3,78,45,16,64,52,25,91,18,66,14,9,61,48,76,58,60,1,21,97,50,44,91,33,71,28,36,7,18,45,36,42,88,49,5,88,32,23,92,2,61,58,21,11,18,31,98,30,83,43,67,1,55,94,40,31,52,30,25,68,7,33,75,4,31,47,25,94,26,7,80,10,61,13,64,86,46,45,80,50,53,71,40,22,91,11,15,31,26,30,61,2,37,80,91,87,20,2,97,92,7,74,93,6,2,24,61,93,12,72,27,21,38,70,37,29,27,93,53,9,65,6,69,27,77,32,75,23,29,44,28,81,18,9,79,28,68,52,95,75,4,22,77,47,76,90,87,36,13,60,36,78,22,93,79,56,59,68,70,15,30,62,38,55,91,73,52,36,16,98,36,77,4,64,35,68,52,4,9,11,27,86,9,90,98,50,39,54,44,33,17,78,85,8,39,21,37,81,63,8,59,33,14,5,82,7,59,9,61,24,0,95,75,67,66,2,20,19,0,19,18,80,91,15,65,63,65,3,86,49,71,96,78,40,97,29,65,72,71,92}

{805828872,710303862,90826862,179,584194614,1009185865,79660947,9720087,2383,9005357,3456294,61529904,83214149,40885479,797004967,90976596,759905302,1402782030,3518107,878406740,91193839,43830324,493687146,637284862,13574,710629196,229535510,131253904,9359160,122168978,402106405,1770453619,753736613,452911340,91245110,493687318,711645,150069889,125245632,1037014487,51772928,83939883,9602498,766553982,76963053,40886954,183560,83556938,83566,4008677,3444319,493694682,53959292,753653029,837491644,288508612,198664673,766478685,67853961,976602171,74293134,800978079,486041,53843790,6319,9359463,9262,506892950,59781983,1332023121,110546794,878438812,976602465,878438703,259730771,226440322,624083838,83831,44797658,432278011,515429919,715617795,8524921,72600196,194111594,8744591,10857354,606146,45661,3517769,131254408,73686,53950806,753705425,95180487,1625637550,40880913,493593427,2846593,864045314,837489765,90887943,492596,83173725,493732226,157489855,226082008,72603352,91823312,435005034,712905,728538352,845194176,752664751,83619681,279600839,670452661,709786061,711565,288816367,637280276,27274500,357874804,43618942,6442,3585274,202426492,109797,14482214,675322539,1008152,83522,384,107209272,47078906,430026055,124853353,1607236274,904340778,409969847,960953732,718684830,649268369,878406585,23352103,193264,53,5897,84017216,797005001,778067815,1364464702,1009738275,91438,896095680,53313273,391011570,16111419,43555404,710209965,386117,134899556,95835359,9041245,1492101222,936695485,5410652,51105755,1086930222,91818765,494023266,229581516,892987342,288605137,516398,894381616,913554836,834588013,1552720773,498309299,488070291,47870531,6909344,9365115,48491,425375,6118271,6333131,137096763,878438493,31841,369514,120399313,710090031,5636397,68676376,127268465,837491428,821731777,325455,453240584,9817557,8529230,8513341,493732582,637276133,52151102,84023579,229572174,91289410,885715222,888180563,69187961,110546908,719906001,797004463,759329221,173509600,236452966,485245,13203402,619112547,1007899,91150704,411466711,8616903,124894878,58117441,648990301,8528717,10635,997225,16111315,595233245,479281720,122163215,47954580,758039357,381997149,14774,204817053,3526382,9970874,947996117,190,307835314,959876061,5635760,6311645,90850967,288650034,47515,896900334,437680016,1980,27274574,131250906,99797388,394361123,733676156,74293457,800975283,83352,680877094,83553858,369553,4292729,1873430684,59264047,54547236,1401,74196831,828967428,896900116,83178427,752889524,747030167,182175921,52161174,888180446,5852064,50430843,912558084,32908351,912957175,90798462,674411956,9650891,604935599,198727246,1126504617,675296405,78387632,1552987778,493687395,5625612,69532737,6015495,925378567,352724968,506976130,796998904,52153661,3517273,834153027,90976870,764245550,9005040,289946955,6343237,69399944,1060365880,53839799,288597992,145133369,135105646,360914,68696374,72609871,37030,53851316,9707934,301144,26982585,800760909,6014592,332,11977,7831,59926403,1008790501,390984873,91693520,649029138,953460792,450450152,15202,715297922,947661938,6150671,796999294,809980645,137110546,766586130,903984837,226065388,493593428,225886,388571,437895153,99412494,354450034,633008916,1125228350,903388940,732204008,40887351,361324182,51284451,1010254144,117551,124894645,134416859,6015529,1265282486,710303500,77220657,138406566,124918000,166844,77147645,51669043,81925060,4260809,1593482049,295365492,826347427,125306562,391002986,9655296,515493384,865,79777958,72609477,765578599,68686914,800742843,6324763,855346680,32903232,878190275,753752878,604935427,97104,148093508,91289840,31811,376446,800978053,3283560,58117388,10367,1007420,941698578,131261485,90745640,90049509,229572670,4697,976602172,216380125,801044576,6339237,134901818,13166392,67542279,77138366,16103150,715261957,229478587,361330201,33056488,639670374,444708022,903769373,419293,753709789,238937528,288611849,710303988,229582353,977439214,945243626,16144837,102391325,122128691,366650,752664725,9655446,434378816,72649467,1290676339,90985122,443551362,90674002,6337476,437895426,918160080,33188948,83978510,807688091,718754792,809581600,649063661,437896871,236445069,277335141,4287096,47656904,125733,208260831,6060454,6329131,388357,89260462,766537659,44200648,91289112,45434600,605809,6047826,134908606,90958693,3589622,67263391,366947300,735549709,68317489,5800377,4341755,435005061,948037370,903994533,107390,515494185,354450184,511208323,695569331,494012889,689811697,912957268,8978127,1638466998,47079129,95484601,494024889,321993179,91683788,50970559,320443040}

Returns: {69, 6015705, 75, 90887728, 361329847, 98, 29779332, 44514163, 9778899, 58090227, 4, 90, 44, 411, 45, 48794, 61, 28727, 97049, 49, 53874, 390959394, 561, 3517091, 45676898, 85584248, 6169, 11, 691, 9961, 6888, 100779, 288602845, 2151, 15, 753746713, 52037212, 7937698, 4292530, 2, 55281, 40831580, 52160670, 7, 79, 431, 7314, 7898, 13, 444, 3, 111, 1, 53, 72605077, 4671, 91288914, 893, 4277, 494020633, 14, 2, 5088, 220375, 90, 68696142, 44725, 1, 18367, 637268332, 2458626, 51047505, 5281, 229577759, 110, 715229591, 9364988, 141, 1, 437894956, 53950160, 8982, 3, 54, 730679563, 35906546, 559, 29, 23334, 32886873, 75893, 7664, 9788, 107, 6248812, 90733, 896932060, 24, 649034927, 7, 4899397, 1444184, 837491129, 141, 169412, 206590, 57, 10457, 878345393, 93033, 53802150, 75, 2, 67536115, 16, 4883, 796996660, 8042, 9602026, 16, 26, 976602505, 8524499, 190, 192841, 352, 6880255, 60, 16080995, 63819, 515499344, 1199, 150, 606073, 707308, 3938, 245, 41666, 14, 83294185, 32168, 74, 9004653, 149, 491774, 2, 325268, 9, 40828884, 84066199, 54742, 287887, 27, 3, 922163, 85567, 1104, 800976716, 27, 13203078, 937303537, 10734259, 6341, 610, 27984387, 94185973, 439, 198659203, 1881, 19, 9178836, 573397, 7, 493687279, 4671, 83173562, 9351, 5626709, 3157477, 7704648, 901038, 83122060, 21089, 903973530, 969477794, 73, 134899118, 9290, 7341, 232, 32, 9, 652, 9015708, 105, 91191745, 1, 710303817, 388111, 110 }
{7107,8147257,75471755,8,32973142,1,1,717,7812,17928494,151,1,957,624,499891298,23266,48466304,15274714,6829624,28000,1,5555313,912364167,1,350343,606380,79,508,1,67,62175456,59769,3922199,1,1,252375952,1534,87589,5,258,715738823,55290,1,951076,486762,155426733,812,6440037,572,784247182,1,5275,204,48093,1,70,343334,349195109,1,3384102,5,3118,41243536,6319,1,848485,1,170,9331,5290,4,49773358,1,1,3433940,2720,979,55463704,897,42818673,780471703,8351,1,1,662,6,671612055,1,155039,21653393,9080216,79114,1,1,6693,884774097,54373531,680845,78,4392}

{7107,8147269,75471767,28,32973145,1,7,767,7837,17928809,151,20,965,631,499891301,23486,48466429,15274807,6829753,28175,8,5555352,912364218,4,350381,606413,96,603,4,72,62175671,59972,3922201,8,2,252376262,1896,87607,9,305,715738827,55324,1,951155,486764,155426760,906,6440056,715,784247188,175,5288,215,48187,6,162,343345,349195126,11,3384105,14,3489,41243536,6437,157,848489,23,190,9783,5486,19,49773432,86,73,3433943,2723,1002,55464249,1068,42818711,780471855,8369,40,168,676,12,671612065,2,155061,21653428,9080242,79145,266,76,6848,884774114,54373576,680855,107,4692}

{1,1,786225,436397300,1,560,46675,216364865,625094277,43424,252462,4515862,13286,1,4700673,24189670,61,683,197585,5168183,16,605258663,5,199473,1,1,889871962,87712231,3313733,770,357,1,1,9554,1,85452,75,90893595,3668870,4693219,4197968,1,1,1,3,12730154,5893,503,760,1,644,14,52375705,213849361,1,1,95754,8042,1,49435876,782,58982,57181938,1,1,7741,577952200,29435921,622725881,62411,61132,738107,1,1,1,21702,661,86844380,1,536951368,6864,829861,236,6658986,1,6,575259,39893,1,202,1,9,1,16,431103,48,947617669,5051690,298,892573}

{156,15,786228,436397406,6,829,46702,216364915,625094528,43501,252471,4515902,13483,214,4700675,24189679,342,810,197621,5168311,347,605258666,13,199478,6,14,889871976,87712253,3313795,777,656,20,59,9694,31,85505,91,90893757,3668875,4693248,4197987,2,14,368,7,12730160,6185,556,1105,17,677,68,52375710,213849362,18,96,95760,8254,12,49435927,789,59214,57182271,9,20,7769,577952201,29435936,622725968,62714,61137,738153,6,1,32,21715,730,86844622,459,536951404,6866,829904,246,6658988,1,8,575261,39940,23,364,5,27,3,41,431133,50,947618224,5051856,324,892578}

"WWBBBWBWWBBBBWWWBBBWBBWWBWBBBWBBBBWWBWBBBBWWBWWBWBBBWWBWBWBBBBBWWBBBBWWBWWBWWBBWBBWBBBBBWWBBWWWWBWBB"

{24,56,90,24,41,72,57,10,83,91,52,44,92,0,55,15,80,14,13,73,3,18,80,44,51,78,66,27,65,65,67,98,29,89,2,54,21,88,89,79,75,48,43,45,68,78,33,15,52,9,55,84,4,53,37,76,50,65,52,71,93,52,78,52,19,10,28,64,19,20,85,72,55,37,83,66,79,77,4,50,37,55,90,3,47,83,31,35,38,0,7,67,30,20,37,33,3,62,46,26,33,70,56,85,96,76,16,65,15,60,6,96,67,3,93,32,87,10,37,32,35,26,63,74,80,76,55,0,73,53,86,37,59,23,31,12,66,35,32,88,95,36,20,53,89,84,37,55,64,17,0,66,67,37,79,71,30,8,16,27,93,77,83,18,67,4,31,27,96,26,68,78,38,3,38,16,77,72,56,53,44,48,34,52,53,32,16,26,57,26,62,93,0,73,51,32,72,67,65,82,10,57,78,52,71,51,28,27,28,30,94,28,42,1,19,93,67,33,82,99,87,29,13,9,17,90,78,45,24,42,81,89,77,6,35,65,93,55,25,65,38,41,93,93,30,32,22,67,78,32,41,60,11,79,39,16,88,7,30,55,58,38,72,39,92,76,42,14,48,69,99,76,82,79,15,54,39,3,20,17,33,63,98,18,94,53,29,91,2,73,0,22,42,57,7,66,68,91,3,50,69,34,64,18,36,31,56,20,86,80,69,82,79,92,16,10,79,56,51,70,1,38,11,18,31,89,40,43,67,43,83,74,19,77,94,4,71,84,37,35,68,85,44,48,14,44,6,13,90,18,9,83,37,24,4,87,36,35,37,54,26,34,75,58,72,49,8,93,91,25,81,3,1,55,96,58,55,90,57,11,89,71,70,91,74,94,30,34,23,7,90,31,57,64,11,64,38,53,65,66,28,10,24,40,90,10,59,64,92,28,3,13,41,75,20,83,53,84,55,15,65,62,97,61,65,68,26,18,33,8,9,51,62,65,81,16,56,20,68,65,7,96,3,93,39,59,32,52,55,79,17,83,39,94,2,10,6,99,41,86,67,18,23,95,95,67,49,24,45,25,67,3,51,32,85,93,9,55,82,48,98,84,3,71,88,99,14,69,77,69,25,32,70,57,48,38,63,14,13,94}

{54,20,76,83,77,32,46,92,44,22,32,6,63,89,79,63,96,29,92,86,15,92,35,33,95,1,19,39,61,98,35,20,13,34,20,93,50,55,53,49,53,19,70,95,67,3,48,57,46,82,11,20,18,3,41,50,93,50,4,58,49,3,61,20,43,68,4,77,56,72,7,24,31,59,83,66,80,75,14,33,1,61,87,90,82,7,16,52,41,82,56,45,0,71,41,15,32,60,3,16,51,1,54,60,19,95,51,17,43,20,56,2,98,91,24,99,40,36,60,87,24,75,37,32,43,71,99,95,56,75,69,26,62,87,8,37,75,42,56,45,25,96,86,2,90,4,86,89,21,22,71,63,76,49,9,83,55,40,38,97,13,62,46,47,9,16,52,21,60,21,67,45,71,80,26,70,80,68,32,36,17,67,25,39,2,32,37,56,48,17,3,98,83,60,40,52,59,40,34,24,34,25,55,66,79,32,59,16,29,17,38,22,27,18,42,55,53,80,72,44,93,27,61,63,82,96,70,88,8,24,21,1,92,52,46,27,54,25,53,87,76,15,98,0,72,48,65,12,32,58,87,56,54,97,95,44,83,88,17,30,71,89,39,63,7,95,63,41,42,25,68,97,42,79,42,80,63,13,22,56,17,16,92,42,15,93,1,72,20,20,96,1,98,82,34,30,35,11,4,47,89,65,13,41,80,37,39,48,5,39,80,7,42,30,61,69,50,90,88,92,79,18,39,56,61,17,13,55,19,33,78,32,23,90,86,69,10,78,73,32,27,48,12,30,50,31,34,13,70,79,15,72,14,71,67,13,0,2,22,44,74,79,10,96,16,5,44,72,22,80,92,1,81,51,14,63,12,2,59,53,45,58,47,17,33,59,31,96,39,34,65,25,34,19,23,68,73,11,4,70,91,7,40,51,72,37,98,62,0,42,90,78,77,15,17,66,68,1,52,39,80,34,80,86,92,98,54,84,32,78,4,30,74,63,56,17,83,25,87,71,79,77,30,77,46,29,68,24,27,6,55,82,73,35,27,78,28,91,11,53,30,5,18,88,43,53,57,28,28,18,5,29,8,50,98,51,63,5,64,17,26,43,57,80,27,79,14,34,9,40,35,63,57,35,7,98,21,66,13,80}

{350381,439028,9079924,7009304,142253028,3922207,349196386,252531,7145683,912285037,56297693,533427,6250,21646604,579769905,24206802,1673709297,504591124,717,672187317,412231075,7027147,528174370,496321,884768864,8146359,572812155,83019238,896732,855873,281726342,314,1157,21653710,76257920,89,610813329,155057,235454256,1278379850,213873116,5194947,1012236,742077456,593299101,436398192,9475,373353095,52370159,17971750,4515865,743,26341096,222596107,90925906,989,712,855603,85348644,50511500,784247123,384021778,61402,52375839,6091151,622482594,36286935,142308195,5387622,77,216365614,350387,59788,44754167,4,4,1274597640,142283892,471618831,8914,98953258,62143,9120143,445477520,6440356,209706581,48406614,304666107,3724164,7341,216611776,172132341,62168855,50511432,90925909,24203576,440319468,98425023,436391936,938338141,14822,8208398,439094,784,996795018,884773739,48461094,14433224,25117314,712,392422,967929863,29435735,436476404,350317,4810346,719896909,254021,90980419,3962094,252111147,889852896,90974865,488271,779527588,50509867,896823,884767048,439099,213873114,672119137,799065895,45605780,159580,625146428,90966785,577933202,252461532,3674609,168001869,884167739,1001989553,672187242,288486712,12573468,32972466,761842785,21653533,610813855,897090221,50504400,577958524,29436057,875053173,561798092,55694135,62175787,1336627494,52135123,83340881,720,43882518,6653584,586645,47320744,15493243,52435276,523101227,1001990617,290168535,593299101,168155993,52704074,1216862247,886203168,48527381,811845454,622735214,3674608,213895697,14788796,29435653,606420,47682548,288486714,0,139272247,890119469,349201916,905145829,420458545,293,6666035,788,719931520,56297693,52820031,740976578,856255,350610,252623,348596937,933,525576692,543167879,3916936,49506237,136177978,3313093,46901286,3244597,915677958,87712755,1515223,5196386,85,184461432,780474534,242,1374915,39967,87711906,61509,17965652,15275325,992911166,62041,168001869,625437029,350385,609975741,13506439,142308233,52329233,252454562,88552449,85,606425,214407583,880628,3669184,24221499,294,7049,62175957,3922279,911523441,29423250,3921297,3922198,95200,438314,4515886,574037541,889467013,47979616,6813967,216519233,46901282,62175786,50511496,25321943,4693513,4699285,216365536,884773736,6342,504536676,1442,663625,621838222,5730900,242,0,24213140,780478690,4699288,436397727,912364235,15026364,15283506,48460045,313,7027236,23775200,213897458,8147972,79145,76257921,77,1001984298,904216907,386,349203118,216365630,640127417,875007157,4595010,469370420,6440159,21710295,856253,684,6971942,780476849,90921434,4940536,1368,672186754,785157926,780522187,216365388,579770077,62175870,48522263,195105,579769426,8832660,149785,61216,571622810,10300910,177632,6588142,115782,6379135,719936004,951127,24295701,960675,6659838,488271,4996906,133228084,671749379,33030361,50258889,242,90981203,248539323,535022462,1429,499251,62175313,504591319,426998,46681,4,9141368,572742842,42051210,6659049,585996618,50161122,62408878,40355,5409,177605065,1003170155,486767,893305824,579770078,233329,1001991396,48466383,784247749,625573411,93,912285039,779872283,838151,444544549,8968805,5273,1388434951,6332,14249,67177756,395238717,209381666,146503204,50511497,6500636,15196419,3443500,52382091,62116189,1001991403,4494033,216365627,8239520,546649,349203355,5196260,4316410,622735091,3668879,209381666,32132422,577891074,3392922,216113008,719586425,719931520,9080242,90728587,52819646,98425682,7016,3313795,445477517,464,142253026,24188704,15275492,571293269,408915379,8146595,52375737,19519625,779624247,98425808,784835816,672125002,856163,622734833,889872044,7026562,3931754,625101411,15088134,62170666,94991870,849917,1069118,33192313,6906510,606474,622695314,49655256,363404454,861863846,498572502,142308233,4687613,52819187,626638742,52725881,87712581,579723399,15275388,6658815,4693514,252714877,162397263,253232,3267124,967285,4571180,884837971,91610963,7026675,6831522,884619118,883823045,184461431,435060291,3664170,164843117,6420821,29435552,436396576,625097033,3922842,372,5202,17965653,552,359,15274125,889871663,950436,785584169,731429764,87866761,578873083,4,68182,124336337,719868631,251855112,3915869,349248018,96896293,216364187,3668643,610807639,1073142817,4,780889243}

Returns: {7107, 5, 8147263, 9, 75471755, 786228, 28, 436397301, 32973142, 1, 1, 563, 7, 46678, 738, 216364886, 7824, 625094364, 17928497, 43490, 151, 252468, 20, 4515863, 962, 13455, 627, 179, 499891298, 4700674, 23468, 24189670, 48466304, 63, 15274733, 784, 6829641, 197596, 28151, 5168187, 8, 73, 5555314, 605258663, 912364167, 7, 4, 199478, 350377, 6, 606402, 14, 85, 889871962, 517, 87712234, 4, 3313789, 72, 776, 62175465, 410, 59787, 20, 3922199, 16, 8, 9559, 2, 30, 252376049, 85457, 1774, 77, 87606, 90893596, 9, 3668870, 283, 4693232, 715738823, 4197980, 55295, 2, 1, 9, 951078, 24, 486762, 7, 155426746, 12730154, 813, 6185, 6440039, 556, 677, 761, 784247182, 17, 18, 663, 5275, 22, 210, 52375706, 48185, 213849361, 6, 13, 85, 95, 343341, 95756, 349195109, 8225, 10, 9, 3384102, 49435927, 8, 783, 3242, 59071, 41243536, 57182265, 6339, 7, 150, 20, 848489, 7764, 23, 577952200, 190, 29435925, 9332, 622725881, 5483, 62695, 18, 61132, 49773358, 738145, 17, 5, 7, 1, 3433942, 19, 2723, 21715, 991, 677, 55463886, 86844381, 910, 9, 42818710, 536951368, 780471772, 6865, 8363, 829874, 11, 239, 77, 6658986, 676, 1, 11, 8, 671612055, 575260, 2, 39903, 155039, 23, 21653393, 317, 9080242, 5, 79139, 14, 95, 3, 76, 20, 6843, 431111, 884774097, 49, 54373539, 947617782, 680853, 5051707, 85, 304, 4428, 892573 }
{1,582132,389408,5989817,659822,876,1978170,106,1,518348,51,637061875,5142,88,1411,9280,1442934,964379,1,46,911647,6470,1162684,937318,45465,771128,1,46163,62320,4337343,537714,88,469909,2,570,691,49,4407,25164,6570905,3560,956851779,8458,247454,718042,790459925,34916857,67343352,1531445,1,756,18077628,46192515,4209075,883194302,75178,1338,929769483,298793,86818072,74,1,4022,97245,73197021,7411217,1,7374369,93672,3586,922572825,612000305,1,1,557,22015659,935810499,49710468,772485,882,8,3839,1,8,1,605449565,9422455,838902124,2081681,1,1,1,67,492,392904788,1,271989442,5312870,1,288273}

{3,582142,389435,5989839,659955,876,1978175,368,7,518523,126,637061912,5142,94,1446,9316,1442973,964381,155,48,911669,6479,1162704,937321,45469,771146,11,46360,62393,4337428,538149,123,470234,9,772,735,198,4747,25462,6571215,3744,956852011,8629,247778,718071,790459990,34916871,67343355,1531447,38,839,18077698,46192625,4209080,883194319,75286,1341,929769510,299084,86818072,115,17,4030,97245,73197026,7411229,26,7374846,94111,3646,922572837,612000309,218,1,567,22015676,935810519,49710780,772489,1023,73,4003,2,259,58,605449581,9422554,838902131,2081681,325,15,252,67,546,392904839,13,271989443,5312883,4,288274}

{1707,3,1,80542,37,4859924,79,5970,9,8,7318425,86032999,2,782645,198,648093829,57217146,65778426,1,834,1,67374,3,6987,68,1,79,74,259,6393,266,207342,1,84900,7,9930,8346592,4808,538725,1,61255723,55425942,682460,79327662,215063,828,572140375,688215364,1,4223,1,1,70984767,20379523,49,50903502,9222,1636,1,1521521,1,1683217,1,2500024,825,307,1538795,6834791,300133,34744991,851418100,5867,1,487135773,2383,5958,795,44690607,1,42275685,3,4,1,1,1,9304096,82127022,212944282,50,1028625,82411422,82,7749153,9278,76390,4,968756383,1,556158,96907298}

{1720,36,15,80543,384,4860043,81,5972,81,11,7318557,86033028,5,782649,308,648093834,57217249,65778430,209,959,12,67386,23,7003,69,195,81,75,317,6768,315,207362,1,84903,49,10033,8346898,4857,538749,24,61255733,55426256,682577,79327693,215086,964,572140468,688215375,29,4299,1,2,70984916,20379561,51,50903930,9258,2100,174,1521530,36,1683666,118,2500025,829,401,1538915,6834791,300415,34745075,851418563,5874,204,487135859,2466,5959,896,44690646,8,42275817,6,6,30,38,22,9304099,82127026,212944289,127,1028969,82411438,345,7749166,9288,76393,32,968756709,70,556187,96907311}

"WWWWBWWWWWBWWBBWBBBWBBWBWBWBBBWWWBBWBBWBBBWBWBWBWWBBWBWBWWBWBBBBWWBWBWWBWWWWBWBWBWBBBWWBWWWBWWBBBBBB"

{30,28,85,18,81,66,60,28,80,21,76,72,37,53,24,61,19,62,49,31,12,78,89,24,41,1,74,65,88,27,21,82,35,79,15,23,19,7,96,88,73,65,55,89,78,99,96,45,32,4,41,3,6,90,65,85,82,92,4,57,25,39,88,48,84,12,52,42,65,62,71,77,25,41,75,76,78,8,71,32,8,92,63,9,1,74,47,99,25,12,66,80,50,63,68,66,88,50,99,80,97,36,76,13,57,37,50,55,3,39,20,89,95,91,46,8,42,69,67,66,83,65,48,15,26,21,80,80,88,87,84,85,76,91,41,17,66,92,61,89,32,98,82,14,83,51,83,16,92,52,59,22,27,9,38,33,92,65,16,72,88,26,1,77,30,64,32,9,7,20,89,77,51,1,29,6,89,87,49,89,98,55,29,6,88,29,81,21,57,63,18,77,36,56,14,66,65,19,42,31,88,50,6,1,30,66,86,21,38,49,9,85,72,58,69,11,55,30,43,50,42,98,19,77,93,46,86,36,65,16,54,73,9,66,49,42,39,11,64,31,35,74,16,12,47,62,77,56,7,27,36,36,11,8,57,84,98,54,91,35,88,42,61,88,7,82,13,48,51,61,49,28,64,75,53,24,2,57,93,15,5,10,96,45,77,92,47,56,51,33,69,93,44,85,81,4,33,50,91,16,13,95,62,76,73,87,68,5,76,70,32,95,74,1,77,76,68,92,69,82,49,45,17,78,75,29,94,53,6,11,94,44,12,10,66,85,76,99,84,17,2,39,72,25,54,55,46,26,73,22,1,73,63,18,32,34,22,15,20,77,35,36,86,83,45,60,91,81,96,83,84,73,92,1,37,84,41,19,12,92,26,48,6,11,75,22,73,85,1,3,93,35,36,65,63,86,96,92,45,33,56,14,58,86,97,47,8,93,37,28,35,51,99,51,45,37,7,43,28,76,18,54,9,71,43,27,51,70,77,9,58,92,92,27,16,18,55,60,44,54,9,11,65,24,57,49,33,17,3,54,46,23,31,18,54,44,56,34,77,90,61,21,47,54,58,79,38,42,55,38,79,73,42,38,35,59,79,25,90,55,16,25,26,25,7,3,39,27,47,36,64,92,55,36,9,3,76,99,3,23}

{28,68,1,22,95,25,39,40,13,98,83,70,41,36,6,90,88,90,56,64,10,30,11,70,8,62,61,72,55,24,46,64,75,0,63,54,51,60,74,83,74,65,83,7,35,63,84,74,36,66,3,29,68,4,21,46,69,9,3,9,44,53,47,64,90,6,74,31,88,15,69,17,37,87,13,28,3,24,3,79,7,53,52,89,85,92,38,2,93,43,82,97,96,12,91,29,21,38,84,60,46,47,2,43,85,75,51,78,9,13,70,72,46,59,93,82,24,10,96,68,18,41,77,13,79,75,10,17,23,70,49,12,52,70,52,21,48,42,30,49,61,1,98,82,55,98,41,60,90,92,0,93,2,53,42,49,92,48,51,3,90,24,31,93,56,32,25,52,58,44,80,87,62,1,88,45,10,44,51,64,50,8,20,96,95,31,34,60,76,96,9,84,1,94,65,19,21,37,44,30,61,26,83,3,83,14,30,62,46,43,0,50,74,89,20,49,74,26,47,58,3,85,9,93,0,2,78,13,57,77,19,53,92,20,88,23,51,8,12,77,97,12,71,93,52,30,49,91,60,86,62,74,16,83,23,77,17,20,93,48,44,52,63,99,88,28,18,90,45,71,53,33,53,97,68,47,98,40,33,53,95,71,87,83,82,14,26,16,74,33,21,46,61,92,18,72,99,91,62,78,12,94,88,54,57,44,86,24,7,39,16,67,94,6,58,83,84,46,18,82,2,88,25,44,43,47,23,88,54,23,50,84,98,55,83,93,95,88,16,99,29,97,8,18,67,87,63,80,25,36,64,67,90,81,56,22,0,21,30,57,56,4,95,56,43,5,68,25,91,4,33,27,99,89,97,81,66,4,12,23,49,76,30,18,73,20,12,31,95,22,8,90,63,17,90,51,58,55,46,65,89,31,96,78,34,31,35,86,48,10,85,27,99,18,5,5,52,45,74,7,3,20,67,86,5,0,49,14,90,30,92,62,68,73,20,52,76,25,85,20,21,62,35,66,85,25,10,14,81,50,44,95,30,13,40,58,94,93,40,96,70,58,4,74,91,11,7,17,47,86,40,98,18,61,28,24,38,65,23,3,90,42,90,36,38,3,85,45,58,60,19,76,99,84,22,14,57,76,44,13}

{475374,331861,614171561,1162709,4008,2309930,6571152,61314075,782747,495269,935811406,1773991104,1012268810,16241964,1932716,80727918,2082459,82415464,6348,73403457,7323529,235095,722065920,1773945573,1012278023,578137,1681683,7411618,52910255,909,606983461,73197855,22018971,42275003,645681758,882263932,18078496,6045,1240743165,2081786,487134022,13,50979205,1023037,781716,94598334,1240746103,790460831,8816759,2198581,1006207668,1726252,2184421,83071227,7471756,1133369092,34748673,8267441,5410524,929252784,268155,22741711,753476954,71666412,82411443,1973121,117174412,483611,5329879,648099139,646735815,69833886,771566,275468145,22792275,935748756,5297906,45548,606085169,42745162,6097,16839436,114580102,1547222,614171557,7747276,754994824,97008469,779885,79570023,1538796,5312897,1240745367,2592125,394463,5869411,2142519,563179,97195577,92,601744441,747212036,935421972,78792422,333622415,22012412,18076910,51601145,5552033,7353789,1773079463,1029006,607057322,88339535,607047525,25,719528,27430188,1226536966,1332512,65,1004866404,92869697,647320416,42276639,22070634,7318469,66742797,1151274,722144697,4241,614748558,960601951,1773991041,926218296,66668977,3070250,7074995,2220946,1024784,2153778,1138289,556167,1639,50979202,18633813,1012278029,58660126,74662350,109428150,88337894,1171451,343150,24070308,160546,80682,2,5880197,73851894,6070370,84493042,45488,789386,94391329,545292,72727641,300923,116659017,304597,408670,1029009,957445306,18073615,7,2262371,788482646,6289508,1050913284,18081890,74225077,556932,50979186,3432500,1238767888,2081774,4537888,3475,73784,6041775,1238148858,518398,94401110,8928655,392970635,7410018,1537973,7471744,8305,1177082,744665,3765127,841,1978258,5488253,538022,1540026,91011561,69834,606493430,79570921,520053,614752934,2964,1327646,35653018,723090658,50976240,537969,675983604,298080,6583409,614197525,519209,94391304,8114,606667880,90777105,7563969,922359516,60794093,883195135,470965402,8267462,2450449,2085831,1604442,11506429,723094890,73192721,94193704,5322116,7009,667768709,13895,638381377,534007,94396892,10487,6054,91503170,8350550,8344689,664434718,26,928837544,94401102,66186662,882282729,9727,1540683,1578611,116486328,913758,98700627,2087435,62681,782715,83942885,772383250,613677967,24584425,146961,89366700,16708755,24194119,755513195,945599,991019879,76149,631914061,4860806,619312832,1322725075,790460872,94401125,7750325,755558649,58649626,18079508,27,34680464,607047521,2186517,607004460,4032,659864,97110694,847,4136,57887719,787709,392981177,2077755,52617055,1416903747,1050913271,91155083,4904454,935815469,1767419912,58189979,14209165,392978228,1396133,94102303,935811427,394509,599308103,34748641,11,393662,788379112,65971689,269508,101089948,751214615,392036899,22506873,881216178,722150601,392980440,933149,561311,43660718,1538828,614743877,935811411,98700643,58660176,31804996,3954709,1258352,30,771181,882654683,1000867250,604460052,86,487906989,9509218,72615726,487675456,80008662,4027,478127,1162152,1164410,648029289,374244,924748073,1369,9006329,91549579,10561,869539192,4860731,394446,767146,1240746047,659868,84891,487182142,89446364,1611020,5313311,4039,1010739256,660660,2,8679453,4185,934279970,1440705,723094887,509145598,251053,487141005,614546275,582146,4907700,9804,82402225,5943765,72224876,80008655,90782128,1240447285,43229979,1327682569,7495738,1021010,208490,1240447300,90777107,5312347,755351301,10629,91539794,1531873,7380428,614743043,18031369,28,18077688,795318028,4858659,117171282,869539215,63913,935815473,6070362,882282707,13690811,684698914,74714368,47998,18081888,1773989499,87431278,19695,8047848,7753132,7542796,487182142,57748543,117177346,986638303,771079,613820547,882282710,579279,723090883,7420068,1584218,333622397,775379,7233596,66741185,6066382,883193607,606124176,944321,744678,782723,944446272,634337,392970617,9293,66271846,1158334680,1772307594,359679,754898880,883196120,298855,680818217,557809,66051775,704579544,90985668,18982766,486579720,691032,1169996,71284,88294071,41761370,6640501,83341770,56737961,26637220,1445259,82411380,9117654,557808,15,608182495,790414463,755259909,8346644,73197075,943558721,46216410,8346678,644345,6068776,6041762,1032428656,5406332,1712894}

Returns: {3, 1707, 582132, 36, 389408, 14, 5989818, 80542, 659822, 87, 876, 4859924, 1978171, 79, 162, 5972, 1, 55, 518358, 10, 72, 7318425, 637061875, 86032999, 5142, 4, 94, 782649, 1414, 247, 9313, 648093829, 1442973, 57217184, 964381, 65778426, 70, 35, 48, 898, 911655, 6, 6479, 67374, 1162684, 20, 937320, 6995, 45465, 69, 771130, 5, 11, 79, 46334, 75, 62349, 306, 4337355, 6764, 537719, 309, 123, 207343, 470233, 1, 9, 84902, 578, 41, 714, 9930, 98, 8346603, 4408, 4841, 25164, 538748, 6571215, 2, 3704, 61255723, 956851841, 55426086, 8479, 682571, 247503, 79327662, 718068, 215080, 790459925, 946, 34916871, 572140375, 67343352, 688215365, 1531446, 22, 25, 4249, 772, 1, 18077629, 2, 46192552, 70984800, 4209077, 20379536, 883194303, 51, 75283, 50903890, 1341, 9223, 929769500, 1644, 298798, 55, 86818072, 1521530, 99, 20, 17, 1683516, 4029, 2, 97245, 2500024, 73197021, 829, 7411229, 401, 26, 1538795, 7374379, 6834791, 94091, 300406, 3640, 34744998, 922572831, 851418269, 612000305, 5874, 7, 51, 1, 487135773, 567, 2385, 22015667, 5959, 935810499, 882, 49710468, 44690646, 772485, 8, 1019, 42275689, 23, 6, 3987, 5, 1, 30, 9, 38, 19, 22, 605449566, 9304096, 9422540, 82127022, 838902124, 212944289, 2081681, 105, 95, 1028941, 15, 82411431, 201, 146, 67, 7749153, 538, 9282, 392904789, 76390, 13, 32, 271989443, 968756546, 5312883, 22, 4, 556159, 288273, 96907302 }
{832037,6,8848277,516,1,1,457,952051214,77271,1,1,1,1,7327,1,51332171,5881,29434,435257629,84394323,19,6636,8448,1,8885610,1,86809,877777,4934172,40,845536,1,1,6876,23350,701,9542,1,183,35757181,1,5,1,4500222,1,1,58060,1553,3870,1,3891915,2183,55139,9307288,7,5932,6278865,5694080,5786,346033787,73513503,1,7996377,1,335,754556175,1,583,8374,54,771804913,1,968979,27,138,261677,36598209,265703,1661,120253,1,657,889199,20394942,67533038,24831909,50321316,1,87361,315630,691089623,1,290,1,74175037,6992557,1,1,1,4124}

{832091,86,8848743,522,25,5,840,952051241,77284,13,3,43,8,7328,107,51332509,5985,29449,435257672,84394629,324,6639,8460,77,8885648,16,86838,877852,4934456,44,845594,122,10,7079,23394,704,9704,428,190,35757236,5,165,402,4500230,304,4,58262,1859,3946,171,3891923,2225,55152,9307304,14,6013,6278904,5694206,5788,346033788,73513539,3,7996828,4,450,754556290,58,837,8540,60,771805037,15,969364,118,296,261681,36598241,265760,1731,120272,2,695,889232,20394948,67533182,24832097,50321318,8,87748,315786,691089636,53,334,30,74175329,6992581,2,1,5,4141}

{1,285498,83,821522046,748202,75033,82438,4,1,1,756845891,624559,764159,1815,1,111,56,72827333,52428784,1,1,875,1,693329758,811763,37,69760262,904179,124,6,80560,49850,1,4,16029,5340272,27,1,712279073,95101790,782449898,71017734,41212,9868611,314187,1,132,4197,84122,1,61415215,2950800,36,52157,37498252,5,211100463,52778475,9,978886,5021545,7848,4281,96425440,66,7,36422,3641,72630,9,1,84555,9287,9,6,1,854,79583,1,8096218,141,341777507,1,1,810,224646796,28,686489,142851,22994,1,5520968,24594,5193,1,898,698,460,4357,31}

{315,285499,85,821522051,748208,75109,82448,11,3,17,756845896,624591,764159,1821,5,357,95,72827341,52428845,11,2,905,2,693329828,811765,52,69760312,904186,405,15,80562,49876,2,136,16095,5340477,29,22,712279160,95101853,782449904,71017797,41241,9868981,314204,37,409,4200,84492,5,61415216,2951138,51,52447,37498259,306,211100579,52778551,11,979180,5021559,7871,4729,96425450,68,10,36458,3669,72883,20,2,84886,9290,44,158,17,860,79584,12,8096342,257,341777508,4,5,1013,224646859,56,686541,142916,23217,140,5521434,24596,5210,112,913,723,518,4431,34}

"BBWBBBBWBBWBWBWWBBWWWWBWBWWBBBBWWWBWWBBWWWWBBWBWWBBBBBBWWBWBBBBWWWWBBBWBBBWBWWWWWBBWWBWWBBBBWWWWBWWB"

{92,92,60,6,6,0,58,68,58,80,26,12,88,85,99,40,65,56,30,22,60,40,7,9,79,72,96,28,69,30,48,51,34,14,72,20,15,82,28,72,53,94,24,69,7,79,45,88,27,4,37,5,40,25,41,8,71,75,66,98,69,92,69,73,65,17,34,23,12,24,45,94,12,71,27,32,22,89,56,87,18,6,46,88,48,48,87,60,60,77,49,39,3,14,86,76,34,51,62,50,98,36,4,5,49,65,28,5,73,57,54,78,72,15,44,98,58,68,18,26,67,34,84,38,45,2,74,3,15,86,89,39,79,2,60,69,10,66,4,82,38,10,28,72,70,58,34,37,11,14,74,1,75,78,30,62,42,20,58,5,24,68,46,37,60,98,39,52,57,48,9,45,5,20,13,9,55,8,48,79,16,17,72,8,65,14,69,61,37,36,30,68,27,85,94,65,24,24,71,98,12,77,85,11,37,55,96,81,31,37,44,29,40,15,74,91,54,11,19,47,57,27,3,79,10,95,12,18,6,47,85,2,97,22,81,84,79,26,31,33,96,41,41,17,73,76,26,92,20,19,87,10,10,12,81,89,56,62,18,1,67,5,64,70,13,32,3,69,40,79,89,88,57,95,23,63,36,18,41,73,84,16,0,22,20,62,28,22,91,34,81,7,95,67,38,1,31,51,60,46,62,80,39,26,89,34,44,59,43,35,89,20,59,97,3,11,32,4,89,89,66,96,18,23,43,56,71,23,98,71,94,24,15,80,60,34,8,40,85,23,96,74,60,66,5,35,87,68,97,21,34,82,62,6,79,63,56,68,58,58,95,37,25,41,22,37,18,65,88,34,59,17,43,84,77,59,0,76,18,6,39,70,14,81,31,71,62,13,37,28,6,20,73,52,53,17,90,41,24,43,39,42,79,95,54,89,54,50,10,35,16,39,4,73,54,22,4,57,87,85,33,72,32,42,37,44,75,78,98,0,62,33,48,59,21,18,77,49,24,26,62,97,63,71,23,92,73,62,21,80,20,63,32,36,65,12,64,57,85,56,75,45,94,94,9,52,72,89,76,9,45,11,59,84,49,52,5,84,75,11,31,21,27,78,25,59,47,80,34,20,38,19,25,43,48,44,6,3,19,11}

{84,71,45,69,82,16,55,91,86,39,4,42,2,92,23,74,57,12,97,41,29,66,67,65,38,74,1,96,30,73,90,51,36,99,30,11,11,69,97,6,83,73,82,60,47,61,14,59,6,63,66,97,37,42,18,84,79,62,34,0,53,48,47,63,23,75,17,58,15,53,18,82,72,22,15,9,3,26,60,92,36,86,64,87,82,95,16,64,6,79,86,67,71,33,5,65,67,15,72,71,6,5,44,86,16,58,5,52,2,55,73,29,20,92,36,20,14,26,40,79,40,12,97,4,44,11,25,71,51,43,66,41,28,51,45,38,51,91,39,29,89,55,25,62,29,86,58,80,92,17,89,82,90,46,79,64,1,90,77,83,7,94,6,97,66,21,55,55,2,25,66,99,44,39,32,30,62,53,6,16,80,90,53,68,38,69,94,14,67,92,76,99,36,2,53,99,25,62,71,62,17,98,85,68,58,34,7,6,35,43,97,35,7,26,82,80,69,3,19,62,78,72,34,66,47,78,37,18,59,74,18,93,86,87,1,39,18,24,77,33,47,83,26,85,12,94,25,80,15,39,17,12,76,98,88,33,7,21,82,13,99,29,29,33,24,36,18,13,42,37,97,94,48,73,20,51,36,23,22,36,18,65,58,76,28,94,77,69,58,73,10,38,70,70,35,36,76,97,90,58,67,25,13,18,20,39,95,22,54,88,49,49,32,82,63,90,72,40,91,84,73,71,43,10,79,92,21,91,49,82,84,49,2,74,40,56,91,73,45,64,36,17,28,85,23,67,46,25,44,15,59,88,25,65,69,66,80,60,26,6,28,86,94,52,56,13,88,89,26,67,88,33,53,62,54,45,31,31,87,21,71,25,15,5,43,61,93,1,76,3,34,61,24,28,20,20,36,75,19,15,11,3,57,11,14,38,38,80,97,10,58,7,92,29,96,71,90,54,76,83,40,41,30,42,73,40,27,48,48,35,95,74,92,51,73,88,11,24,58,35,13,65,27,53,73,72,82,79,39,17,18,99,30,17,88,8,25,68,49,47,66,66,99,82,26,37,71,58,49,32,87,24,73,39,83,38,98,59,29,92,90,94,71,92,86,55,81,33,73,51,48,99,96,35,67,73,92,44,97,79}

{67556541,60573,78535027,82866,971192,826162,188,5456758,50315575,130858775,69098902,722933,8903485,249454055,693333915,782450106,801640673,216615225,925601,71026190,78535014,782413488,952054071,754556257,704302893,978370,284866,4934823,926048,926074,691170219,0,29693,4078,195079,624599,51956717,889182,4934631,1042031,11140055,74175090,8808180,78534998,952053877,8208744,103,346782300,1699106,95677240,36426,74583,782449895,41200,453846544,67456614,8131700,7739838,43769,836442,9359660,63471,5691,96425465,1447886070,73059569,72817346,693335604,52096310,1181004,487686465,73285879,1724226,93335,51358481,18,821529988,69966005,273313524,662186,487676767,50403225,58030,631319,969831,7072284,692415,78534626,78452133,8162258,50321368,130854532,821437676,6804,50396346,717958870,34926,54280946,7032028,65222239,78571,84757,434024,50396347,6038,754550471,5009208,130178,8848446,58466694,37498267,1623,978608,51356456,323858,4389,5717,69766013,1165278710,61697354,782447060,771513,67533390,711531134,314160,9472879,235,821437678,54280946,55690021,328984,59841285,12910207,11797109,78535029,712279278,753897101,5484779,130110823,889194,712571548,756851858,4934422,7032028,771804879,50315574,33631,250,600259,72856691,338728,1174661,690827948,56796,8741073,8001089,244339,691089594,339548,20470023,943977350,74239455,139620,503,78498629,10116,130853050,49205,55932741,88311,36409,4125,239102,130858996,9138,926086,7995544,9282440,5429,8210552,6182,763887517,8381082,141634,1466835223,25,74175060,7919,4493,33978,35832390,76940,1772303,240630461,64920221,754552155,9697361,1695885,1,7997166,72092609,340986,2,560215,5791,33445,952051932,341695264,5291096,14369199,313683,5340931,1734501132,121005588,889025,5520953,37498297,820898004,0,7995771,58471006,986396,821528883,8180162,756843248,6991808,764155,0,346930028,5482,582643583,8853508,50321770,694949,341492626,126876797,479469908,77747317,295461,0,5056,91412670,1344298,176622176,764176,37577730,69847064,24634,51332831,143738923,72170279,756081740,793443270,759805,341721658,332123,1156872808,7994010,486797269,290942,6932,75119,389,771798040,9688264,9724,1204350340,9082,782408674,8216586,338493,74230276,58384317,6993443,693329860,93476654,2,1076158638,71026189,9695,420152600,754550321,826309,36590636,4934433,66183014,4747949,8413,5526886,39389,415069067,1664330207,764813231,771807753,706939403,295105,36647247,2952729,622597672,52670,7997026,228,130849885,452502248,338967,130819605,7305866,347004496,32129492,5284403,339000,33,347012951,889738,725097121,691714183,978636,781701691,5813678,67239666,36429,84193,473317294,63516072,6152613,217354498,90636,687808718,4359,974105,6642870,9697406,42484385,461,850941847,217339959,5598392,782449917,249478911,693330129,10375,72856495,73600592,249442511,693254742,5336735,744145,81049,313683,51326392,346973532,944399,8001478,754638211,8216529,96389035,217379130,78453966,69841315,87742,2059009,50321364,74175136,71072826,217370923,9138,487455839,754263677,69618267,34928,346782298,72849890,14623642,59540144,37684427,347012923,881957,36647247,487000008,87724,130774138,771804941,51332788,341703099,14319321,77045,7997286,290941,36599091,826455650,89318,7883,9697372,4879283,9359687,72856733,691079946,71279402,76320479,56700910,130234465,821481343,50256083,7616247,37498319,712571548,674781078,65306876,756845388,751506321,247,1011395794,723903,19,37497562,93336,691837828,20974412,37283868,229083998,782456772,71977797,926104,2,30,782135715,1520345,86689,83998,6171661,1008047,6668,63472,348003412,7479,487455841,810740,9697407,9691615,64506132,7992380,754556756,96399119,9339761,693329843,984371,889214,15968177,130851516,72856515,487686464,96429538,926104,72847038,754611416,841442,390,58391580,249478940,217373629,298085,36398,74171016,73285877,69847086,55182,1044942,333205,36599094,19,686457,9072844,347012920,126876796,20394944,712334071,70733,279479059,261644,600260,691139488,74169347,1697142,25957,50321324,347006977,341774183,7127,39389,2953203,712198377,84390273,672,9028227,83861,314201,58042,821208377,84394872,7592028}

Returns: {832037, 68, 71, 285498, 8848398, 84, 519, 821522046, 5, 748208, 5, 75088, 487, 82438, 952051215, 11, 77284, 3, 12, 17, 3, 756845891, 43, 624560, 7, 764159, 7327, 1820, 77, 5, 51332305, 315, 5983, 60, 29434, 72827333, 435257629, 52428817, 84394325, 11, 38, 2, 6636, 904, 8455, 2, 4, 693329820, 8885642, 811763, 13, 41, 86838, 69760262, 877836, 904179, 4934260, 209, 44, 11, 845537, 80560, 122, 49876, 10, 2, 6878, 6, 23372, 16051, 704, 5340272, 9703, 29, 9, 22, 190, 712279073, 35757200, 95101790, 4, 782449898, 100, 71017766, 17, 41237, 4500222, 9868971, 6, 314187, 4, 34, 58060, 403, 1554, 4200, 3923, 84429, 12, 5, 3891916, 61415215, 2183, 2950970, 55139, 50, 9307294, 52411, 13, 37498252, 5940, 44, 6278889, 211100463, 5694177, 52778476, 5787, 11, 346033787, 979162, 73513503, 5021554, 3, 7848, 7996801, 4720, 4, 96425440, 374, 66, 754556176, 10, 14, 36422, 833, 3668, 8374, 72721, 60, 11, 771804914, 2, 15, 84878, 969340, 9287, 38, 23, 246, 42, 261679, 10, 36598226, 860, 265732, 79584, 1662, 12, 120255, 8096325, 2, 254, 682, 341777507, 889221, 4, 20394943, 5, 67533042, 850, 24832057, 224646796, 50321317, 55, 5, 686489, 87741, 142910, 315705, 23142, 691089624, 7, 8, 5521109, 290, 24594, 29, 5193, 74175037, 55, 6992580, 898, 2, 701, 1, 509, 5, 4357, 4124, 31 }
{4861,4529649,1,11,1,4855,256,8153,930212927,1,1820,710,35123,1,9525,10,688411,1,761,8349,1,70203,104,1163,3299260,489749406,1,1,7654,877924,39,38508,128,99954229,83,91,1,83060,104559,4,1,18954,1,208,2043035,29993,5799,1,478,2583,65080108,1,562,7389095,25796,72,379285574,2581429,342,2,492774,2479,1,946,317516,2576479,7637907,268,62707992,98486,1,398324,770697,666371,16892,39012,103576404,6,1,7133532,67677,127481488,25430838,1392,758,33,1,22,863,39,9094541,5157232,598504965,1,9809,9022262,641,512677,58,1}

{4934,4529813,1,43,121,4870,361,8230,930212976,108,1855,752,35528,10,9704,10,688575,3,766,8373,86,70415,123,1300,3299269,489749431,5,2,7657,877928,46,38712,362,99954434,86,231,15,83106,104641,14,5,18986,1,268,2043106,30019,5897,44,482,2607,65080110,75,644,7389099,26281,76,379285581,2581681,355,18,492776,2506,145,956,317517,2576648,7637908,271,62707995,98488,28,398406,770704,666658,16935,39033,103576845,59,2,7133533,67708,127481501,25430887,1702,760,51,8,30,921,43,9094548,5157237,598505027,33,9810,9022262,651,512677,72,45}

{1832,1,1,88757890,1397186,843325340,85007,301,5206745,88847288,85967274,8710,312,1,29384754,3,5358,391,1,1,9553038,790,425410234,48099455,1,407525345,569,7860669,364718,737343978,966,9677597,88214,1,35360700,15237028,16797,1,55931,4,774555,9525598,5983,2977,25,971342294,1,247339519,3,336199281,83,8198,1,830,8173,1,9477184,420671,63614611,4078337,4406,94200,1,93378,31,1,7208179,6669,60,1,118,925,6220,287263,23436328,5800389,848650,3533,741,92892,8832669,3407,112197581,37087,1,36,1,12,495547,20826,6779412,15849,101150,1,36693,967525742,205688990,70419,29,9617339}

{2004,9,362,88758014,1397264,843325509,85043,302,5206770,88847372,85967392,8754,316,10,29384818,6,5645,480,10,1,9553039,816,425410243,48099885,2,407525825,602,7860702,364721,737343982,970,9677681,88473,7,35360781,15237195,16819,220,55954,9,774578,9525602,5983,3322,88,971342296,9,247339816,38,336199312,102,8622,2,834,8374,1,9477279,420687,63614611,4078540,4409,94284,78,93404,305,4,7208291,6752,89,6,203,1037,6230,287272,23436331,5800419,848682,3538,843,93240,8832987,3412,112197700,37093,8,213,3,102,495579,20873,6779416,16307,101213,85,36746,967525746,205689034,70459,165,9617352}

"BWBBBWWWBBBWBBWBBWBBBBBBBWWWBWBBWBBWWBWWWBWBBBBWBBBBBBBBWWBBBBBBWWWBBBBBBBBWWBWWWBBWWBBBBWBWBWBWBWWB"

{39,72,48,19,84,7,5,25,88,57,7,15,22,84,36,87,91,65,75,30,46,83,76,25,50,60,71,4,68,2,38,68,60,62,27,57,46,60,7,93,11,12,8,70,76,19,80,49,61,44,28,18,9,66,68,83,72,58,14,9,16,75,82,38,90,67,41,62,66,82,87,83,37,56,35,65,44,58,43,12,23,18,97,29,11,5,28,9,45,99,24,51,75,74,96,37,28,55,63,15,16,75,15,55,90,45,59,83,25,92,52,80,48,70,14,59,0,68,34,92,88,69,45,80,83,76,70,83,70,21,14,54,98,60,37,20,58,29,43,89,11,69,5,92,56,81,13,77,43,65,69,40,47,96,63,70,81,13,78,7,64,70,94,18,33,87,59,60,20,11,61,86,57,74,13,28,54,89,16,91,51,0,2,65,27,26,53,4,25,78,82,0,76,29,88,45,74,19,40,91,56,70,31,71,48,67,81,46,40,72,85,30,88,7,60,96,22,22,29,30,48,3,29,49,78,59,75,96,42,9,14,18,78,98,78,35,70,70,29,4,57,3,96,88,99,61,1,76,0,84,78,45,37,14,7,78,14,56,32,15,11,24,49,75,44,78,37,76,27,78,47,94,66,10,31,40,82,36,0,89,35,86,10,91,94,64,65,94,99,89,82,80,25,66,99,52,50,78,66,8,89,93,52,89,18,18,63,67,54,95,67,7,80,73,32,51,2,54,76,16,56,72,14,40,87,0,90,49,21,79,58,15,47,7,3,95,15,46,86,60,21,56,67,43,12,36,20,35,15,84,13,70,13,56,66,53,7,7,23,17,33,82,41,37,57,32,96,78,55,89,56,67,65,35,12,65,20,55,4,65,28,14,31,8,95,25,2,18,40,67,43,18,2,93,5,27,7,24,78,24,70,95,48,3,96,57,6,72,53,50,5,64,61,40,20,65,22,78,77,34,75,68,32,57,8,41,69,18,18,6,89,42,12,20,55,46,54,63,52,59,64,43,21,99,36,96,49,49,33,66,54,4,94,91,84,10,18,61,19,91,57,57,45,81,13,85,25,23,37,33,26,91,39,35,69,57,6,1,44,69,27,25,18,44,43,51,54,14,62,7,69,67,87,64,2,13,12,31,75,62}

{97,83,50,77,62,39,2,3,91,75,35,90,44,77,98,67,11,32,73,1,99,93,22,72,17,47,70,15,94,27,15,74,38,73,46,9,55,30,74,70,88,13,79,80,9,31,62,91,1,61,72,20,82,28,27,56,68,51,99,83,3,49,88,69,50,28,30,19,18,77,66,66,24,54,38,6,38,93,90,57,80,55,52,7,13,57,38,8,38,37,98,5,33,80,36,71,22,21,21,74,59,24,71,45,18,17,83,92,42,4,4,3,27,69,24,22,15,46,55,61,86,14,13,27,9,64,25,3,23,16,10,21,55,92,82,47,51,69,66,56,96,44,92,98,77,97,54,96,7,21,15,52,57,93,57,62,12,34,49,49,40,95,64,23,94,41,59,40,81,66,81,79,59,91,76,77,25,15,59,81,15,98,7,37,16,59,52,66,43,57,51,44,5,20,16,74,21,45,5,98,2,99,11,3,7,67,49,76,11,67,2,4,9,4,36,85,29,33,20,2,17,53,32,97,76,73,60,65,22,91,87,38,67,8,94,91,1,73,90,25,18,20,12,47,84,64,6,90,35,81,48,26,18,38,74,20,13,12,63,51,99,25,12,45,52,47,13,71,96,24,17,3,68,83,49,71,24,91,23,90,20,78,77,6,77,60,51,29,99,13,7,45,60,30,29,90,55,5,52,20,9,43,27,15,58,16,82,18,77,22,73,1,15,57,84,57,40,79,75,2,89,30,55,1,47,98,56,98,54,0,84,38,41,49,27,31,53,28,61,29,17,57,25,26,21,30,58,55,57,82,32,76,68,62,41,37,74,92,36,89,81,96,62,59,40,46,88,93,66,36,68,16,78,39,31,89,33,48,48,24,32,95,59,26,32,15,72,56,21,48,79,62,84,6,43,35,65,16,29,48,82,24,42,63,94,37,6,87,81,10,45,29,63,2,14,82,25,99,73,19,87,27,17,49,91,14,19,68,3,76,47,23,49,34,79,56,95,16,88,46,50,18,43,43,12,20,34,15,40,17,23,16,47,49,6,37,96,90,47,71,10,54,22,29,61,37,80,24,30,20,95,71,73,42,57,82,73,6,40,95,59,51,25,49,13,82,76,17,12,43,28,45,92,54,34,82,42,32,31,81}

{583083,799977,65079713,11879,828,8452,843330317,808517067,5635603,7922146,15244790,15873946,427453189,4281,16808,6901,5164120,2664739,6140760,4530729,9623193,38675,528137874,896498070,65080420,247827882,399160,1397270,62734793,7860625,160488,86127304,439749,953816,7866564,91007938,5822,496176,23444799,201,487013,35429,928192956,8900344,191574942,9708006,8900469,341337647,4621537,2134798,1121536,9553790,48781030,14473710,70568576,388724104,61943434,63606681,19776905,88811688,89441018,330435317,137131983,62014,62764898,365434,9543579,8425,14845314,137624878,14846044,14807410,3216261,388728327,15285547,2661395,1994448,63614963,15870691,2966677,39333296,698,582471,738213443,9413,845481398,405681,1013853383,971360910,9700296,3299248,843322079,105715644,14654268,205672874,316153,425053060,70943,161840,23453252,4761507,9060659,399351,971372227,15873186,971371906,4042832,598567545,897269017,599801090,1397887,79992717,7861141,98686,32674494,421332022,6741,62702184,35360783,598509479,496429,29473720,971372291,1039874,88811687,104107511,897274797,88722343,48100822,622963,56590331,51428,62,598109037,137545209,237786487,63606681,738123421,14842817,388741881,205680387,1944644,1441724480,598606115,388759240,127035832,34443,205686130,10597,2507257,98479,775185,249500260,205689669,2907759,127,127449471,35360846,336201113,336204580,1092048,976547805,344372,48100253,99981129,9544545,1,1262929,137031126,14836663,127569822,7226760,6239082,28560328,104425048,368837,897240547,20888,4761506,122337159,8273,6647,8419,2493647,8543840,4077763,7389307,13448822,897271732,3001345,137620134,2040002,946048403,728668870,1177845,947919036,23488787,971363950,842555800,5173439,388762734,9617178,9706933,89155138,7984,1,463674807,104419161,766560,770879,58,1396339,88352518,1405125,505163,205689582,312811548,525364367,728668870,963,867,96146110,738133526,336638976,104424286,4457694,6249768,208265035,425404377,93988122,29394243,159727,6172,935419618,45733,20377859,4530006,953690,738781183,895877736,3001343,79204894,205723197,246844842,9618050,409220,4614552,100412624,15239992,127484146,1243,971371726,82439,29423852,23444799,9552268,29394275,388727342,5975,8272,9609295,893975740,336231524,965550891,2042507,247338754,83201,104025696,197829000,3300030,247339130,88730963,62278180,85930539,326557746,1171854,134329159,5157727,48101488,15853059,5684089,777,85965675,5225678,42964,179637,2584790,738175403,0,20889,137619953,962547162,896777815,14845078,728604528,15873334,65080120,843329592,14845461,934559228,88826489,3267,7861291,20888,63615010,693207,137534062,7159,30912,551137648,946950,4521943,8900533,2048224,88845,2993832,774518,7192315,108489151,693933,388741881,775922,29394211,5304367,247339532,6648,372888821,336201780,51429,7220016,63615010,160487,237832897,336204579,80897261,966831652,7389918,366481,96734,737724724,70622,385760664,897268058,2693,35578,15871,54061926,15237053,3002104,137627655,88372,104424856,62708070,388762703,9936346,7306720,23444800,598597756,48084228,20504,27530665,118921647,9544510,4161335,2935309,93987,205193717,771,14846012,4103,326054700,689576,2577417,15237114,9680919,2597461,109507281,409,1397737,722614,283996,947153723,5638018,935419147,976459627,897274988,776884,388762007,843951,6878,7223499,828,798,85285,843327095,7376456,2568784,2616089,738221137,3298787,137628216,973248748,6455,88665397,205661504,2918905,0,776888,120094979,151045590,128041938,737904361,2386,774517,19841247,135051772,507633981,9616609,950353,35369041,5839384,70568576,87986,338357464,930246180,19868617,90137,62707308,88758601,104339772,247318701,48095041,336231524,25807819,7226693,388756884,976513555,775623,495812,4084231,64762647,3488,72125,9614563,51604,196136633,300841028,336201872,100728805,14845690,48116387,2080434,247312630,341337647,85500,86048565,205689142,15777217,247347863,4774181,88126312,2967664,545961940,863944146,96733,83123,888374454,51397685,83925,109507280,976547433,4774182,953879,15231145,2903629,134626304,868608,4614553,2817628,976449522,3782334,897266716,897274227,338239782,3258,137620135,104390605,29393891,35362,10598,455549,971365359,598606178,299525,35360811,137628409,40789,9627976,3877571,127484833}

Returns: {4878, 1875, 4529733, 5, 1, 48, 43, 88757890, 71, 1397214, 4866, 843325498, 361, 85007, 8164, 302, 930212927, 5206746, 101, 88847288, 1821, 85967274, 710, 8722, 35123, 316, 10, 9, 9527, 29384755, 10, 5, 688552, 5381, 3, 397, 763, 10, 8354, 1, 3, 9553038, 70203, 814, 121, 425410240, 1289, 48099568, 3299260, 1, 489749406, 407525544, 3, 601, 2, 7860670, 7657, 364720, 877924, 737343978, 44, 967, 38708, 9677645, 148, 88234, 99954230, 7, 86, 35360769, 100, 15237028, 15, 16797, 83105, 106, 104559, 55941, 13, 9, 4, 774562, 18981, 9525598, 1, 5983, 268, 3001, 2043036, 37, 30005, 971342294, 5892, 7, 9, 247339519, 479, 6, 2602, 336199281, 65080108, 89, 72, 8215, 623, 2, 7389095, 832, 26212, 8249, 76, 1, 379285574, 9477184, 2581429, 420687, 354, 63614611, 12, 4078347, 492774, 4409, 2502, 94237, 51, 78, 953, 93404, 317517, 145, 2576647, 1, 7637907, 7208179, 271, 6674, 62707992, 89, 98487, 4, 28, 181, 398327, 1036, 770698, 6229, 666621, 287272, 16933, 23436330, 39016, 5800414, 103576405, 848653, 59, 3538, 2, 772, 7133533, 93185, 67680, 8832816, 127481489, 3412, 25430838, 112197581, 1584, 37092, 758, 8, 33, 74, 6, 3, 30, 101, 882, 495555, 43, 20857, 9094541, 6779412, 5157232, 16306, 598504965, 101150, 15, 85, 9809, 36694, 9022262, 967525742, 651, 205688990, 512677, 70419, 72, 52, 44, 9617339 }
{1,86,499347,662,203531672,41701,450685,5,8512952,729708,752,736285,1,1,2606,1,1,6275654,15775026,756,37726926,1,689,91491359,6,853898508,33031,367709,294451420,1,1,1,3,3245,904110,32344911,22168701,1,19137118,1,511280,7350,20805,1,211949,10909,46562962,1,1,688136371,843907,493019893,1,958,83,342887777,1,8,409662,2850,9896707,356,61,3390,82184659,6993591,413516,255423920,8884,44324009,1,1,681163,1,855727,6,1375839,3655063,1,24910998,1,933398,6488192,5,7369028,39548,24494,1,59559,1,1,41,426314,9323406,6508692,729805,45,160469,21952571,760337}

{296,97,499554,699,203531675,41832,450712,38,8512960,729711,785,736472,21,14,3164,102,25,6275685,15775286,783,37726950,4,813,91491504,136,853898579,33034,367780,294451421,11,4,1,20,3245,904133,32345036,22169003,93,19137133,184,511632,7406,20827,1,211962,10933,46562999,6,173,688136373,843953,493019894,2,1069,97,342887826,19,41,409680,2880,9896801,379,65,3463,82184685,6993610,413565,255423931,8890,44324009,26,95,681250,1,855727,247,1375854,3655345,4,24911445,386,933440,6488266,10,7369072,39556,24528,6,59840,15,11,49,426441,9323429,6508694,730175,119,160486,21952575,760820}

{30188990,1,9317217,1,997345179,295,1,6756739,1,5647,75441,47566658,257,66929,1,1281347,1,5507,6,481022,854986,515,192,2,7513,7812,5967,66,379561,734796865,1,1,1,1,65678934,1,1,879463303,1,53,3551,19673,3,401043,59106148,3287,14493,1,1,61064279,1,381394,8329170,63491919,7990,509176904,5736226,9428,99157213,7165679,4179,1,86,68214948,95,1,10,1,13689258,8147,2780,94708174,65724003,67880462,9671464,3950,33,914,1,9295,1,8710,416,442725182,56222,429506,1,72020943,1,3805,1,5674335,1,19056,782181,59959615,1,19824136,1053,29692}

{30189000,39,9317366,1,997345184,825,2,6757068,28,5692,75463,47566661,310,66966,1,1281350,1,5658,12,481036,855002,518,302,22,7514,7844,6047,79,379714,734797178,15,61,184,123,65678938,4,194,879463309,1,78,3586,19721,4,401062,59106338,3431,14515,1,92,61064367,188,381405,8329266,63491958,8048,509176910,5736239,9507,99157242,7165810,4365,17,478,68214987,96,8,10,2,13689259,8383,2876,94708320,65724122,67880463,9671525,3951,34,920,7,9309,323,8717,618,442725362,56244,429639,15,72021156,12,3806,11,5674337,17,19085,782207,59960065,98,19824335,1083,29738}

"BWBWWWWBBWWWBWBBBBWWWWWBWWBWBWWBWWBBWWBBWBBWBWWWWWBBWBWBBBWBBBWBBWWBBBBWBBBBBWWWWBWWBBBBWWWWBBWWBBBB"

{49,6,76,40,69,2,33,90,31,21,69,21,97,0,72,17,53,39,51,24,23,64,39,9,32,78,40,71,62,65,11,99,90,4,72,26,86,69,47,49,75,60,16,43,65,24,53,11,85,84,88,42,73,12,88,43,10,59,66,70,93,15,35,15,79,50,97,6,6,5,21,25,37,74,73,82,16,31,38,72,73,54,90,62,12,99,0,80,18,74,13,19,21,96,20,1,84,32,48,73,76,44,19,59,92,79,10,62,73,76,48,27,15,45,89,53,87,29,72,70,77,22,2,22,49,29,71,97,63,6,75,23,70,24,3,75,31,57,73,82,44,82,67,88,21,92,43,19,37,77,34,32,41,5,38,12,45,75,56,37,86,55,56,96,50,73,41,81,2,6,92,73,18,77,18,89,85,66,34,65,24,16,19,45,87,4,58,79,94,90,18,59,52,46,82,26,74,48,6,34,73,76,37,1,6,51,20,77,19,68,79,7,35,68,34,23,52,57,83,49,30,13,96,8,16,92,62,70,66,3,47,71,22,72,19,17,81,97,91,91,99,81,12,22,99,23,68,96,52,52,99,52,15,63,67,26,30,93,8,22,31,22,30,95,71,98,83,18,40,43,68,84,21,90,21,41,25,64,29,50,19,58,47,36,53,58,36,19,11,22,41,18,88,53,38,44,61,70,62,8,51,87,68,57,85,18,45,13,56,27,33,35,62,11,83,8,14,56,41,33,46,9,99,57,91,50,73,91,38,17,30,64,36,70,53,87,91,55,25,28,47,98,76,49,49,47,56,97,50,6,25,16,62,59,24,61,5,47,12,85,10,48,81,4,26,8,18,99,72,23,88,57,56,92,85,45,35,9,19,19,46,77,97,54,78,69,56,92,81,16,2,12,52,9,19,10,1,79,79,39,77,80,64,51,82,15,65,27,99,96,59,52,70,74,45,74,46,19,10,78,58,88,0,43,37,10,78,65,54,44,78,46,33,10,48,9,87,42,84,54,76,75,95,16,56,4,83,56,13,54,5,15,26,57,66,46,41,53,10,57,70,66,86,81,45,21,19,22,89,52,23,7,3,42,19,31,68,21,42,44,2,66,21,58,86,11,48,21,35,74,1,54,53,7,68,36,11,54,81,9}

{12,17,10,53,78,26,17,22,91,95,70,2,51,71,64,84,26,65,34,32,24,93,0,83,66,27,57,36,74,45,60,15,23,48,2,56,99,31,48,45,38,71,71,45,21,71,63,79,44,3,69,30,27,7,6,30,87,63,4,89,54,52,4,26,63,96,91,40,12,44,36,36,23,52,6,44,1,1,35,72,2,59,99,91,4,98,87,4,20,80,87,85,41,37,64,75,95,39,23,29,91,51,61,3,17,29,83,79,73,0,77,26,62,15,39,34,78,62,56,28,26,74,40,21,84,70,52,82,76,30,97,40,99,4,53,93,22,53,27,46,77,67,7,65,89,48,44,40,66,95,42,25,13,0,65,75,28,66,94,20,47,60,46,2,66,40,88,54,17,26,97,71,39,50,3,23,67,80,57,63,86,85,50,9,81,33,11,79,87,47,31,66,66,1,66,86,88,72,32,5,90,64,9,10,5,84,96,37,75,88,93,34,90,15,82,11,37,23,13,26,61,63,51,75,4,15,35,79,20,16,45,51,23,44,68,68,73,65,30,48,32,10,52,36,24,56,85,98,1,91,52,58,51,72,5,12,94,70,33,94,64,44,9,72,16,30,6,59,58,91,7,11,79,26,23,18,84,27,7,38,15,78,0,64,67,40,94,46,7,48,73,88,33,7,50,18,24,35,3,40,43,87,2,31,17,9,92,98,46,63,36,12,71,5,6,51,80,5,16,39,42,1,30,50,79,95,63,78,10,57,67,80,93,38,14,23,77,38,67,69,74,80,59,95,43,88,73,16,77,92,42,57,34,18,80,6,58,46,83,39,92,25,75,96,13,68,35,59,11,93,82,99,68,13,57,15,18,86,32,35,97,96,64,21,4,61,32,21,56,21,11,40,28,98,91,20,37,93,86,74,99,0,95,38,89,2,29,49,28,65,44,78,28,42,26,78,14,26,98,80,37,28,21,32,0,70,5,68,6,35,10,94,69,56,64,2,94,31,27,49,37,95,26,20,30,75,49,56,16,53,62,43,82,15,7,38,16,80,87,71,87,83,35,41,40,82,6,49,3,17,74,14,10,3,53,76,43,75,86,16,60,30,17,59,16,71,96,13,3,2,30,13,37,3,76,25,12,82,80,20}

{749200475,5830543,1450531,63999022,44332398,9777712,6277957,1010,5674386,60689346,44329615,9816188,512302380,64519363,147227457,1144137,63518031,6993702,557413352,7428,91499008,72880234,30188948,443449441,413662,367854,517500,116876918,10526752,6986173,56722825,2011939,91491542,1200876790,56588486,5763276,765599,44332406,157,749186448,19141107,104600674,94708373,408536,6994146,94700825,4725425,71732515,58849057,7424657,44272549,20849,68248209,6756809,390924,401079,71946438,61049683,1200463331,1093,9334422,7047910,1168531961,1308372,93113772,843935,14310469,64559,451047,59275627,22169233,831737738,970954795,2198104,68331213,65381782,67,111,13207854,13,59062684,7160526,790092,5673893,1200876552,21220878,41832138,1200876878,22806681,10527295,71954181,90320,26588,879463356,45312671,4034,66542522,38,91491592,666916768,7050142,551532745,481449,7168004,5854775,759699352,442650683,24920246,28,31564875,3655985,340693,1280895,1288815,3772,3090133,72021118,734796777,60668937,294828374,3627209,10526299,9325856,918,741775467,734794468,86379171,26151468,69587421,450709,19980846,90983463,787340,1200869380,63492264,9338579,1044,63483553,68248172,40088685,62548410,248936359,262181025,6933800,3348,426565,58917103,988331,879876889,62883914,66562246,853906352,54611,30229959,12143532,3675,294816858,417496,11462784,916335287,24544,842163756,52284744,9816688,430447,68388526,72215,933981,15087976,423725,20090356,26827910,15775372,2812172,15774585,91495332,255813928,413562,66573662,75205188,32044,469078,1324249,721053,72945790,1200873635,51917250,43,77747637,51,15775266,7576528,8742719,46577371,6075299,14561,10467440,66405123,450857,66540591,67880500,80808905,880187366,76169,409793,485976020,38581890,883117554,477843,13740260,15597837,59826021,32344926,12416788,71262412,138321857,871134191,91500954,442658398,749161698,418,68151374,493401273,8516948,1200876840,1707740,32345387,24917936,38168421,690,14387,587346710,91491134,7087109,13216414,19950518,68805183,26657472,5674418,5674296,790018,999414,8328901,22168330,782590,97227742,13290419,21953648,8329273,2654938,9059810,91237729,493919790,3168753,255383030,38777,7290922,9339692,8509737,7289955,82184805,59317149,735389,5813218,94708333,21953658,443176103,22938257,99255606,5273367,6941077,54143188,24920264,39069,91492046,15787635,846577968,81816920,728040194,18293212,801081,99566899,30189006,60016096,318914942,99255607,16442238,47028750,41545928,951,67868117,15715434,56648,56735879,18293256,74669501,7869,32347735,1150,8004968,493039582,55,4862646,9499,6660136,15051182,419002,22018493,52284704,68579320,22165491,32345286,94707845,48260517,443176108,484888394,2859,5777205,27068,3311,46556652,735319,790152,853365,30576505,60073586,337900,5674417,19211849,6279574,255423976,82184791,12864369,19139941,63493851,163512579,9328537,832927586,598482515,250498808,10527302,21953682,8538803,688510966,748799682,59866,62144256,19984780,2812173,24304,853885655,9489,66582511,22938208,7532,450404,99524433,46577452,442725068,468997,501134,853906340,938166,1200876851,93999,22193327,16569745,7893621,18212554,82187149,6429009,780688,7961916,493438,459635,1288787,16569701,710887,481687,32825227,66212352,3656039,101848491,7628,1200876861,44332063,5736165,426987,6660952,554,38486324,514944,302400885,21227485,5194029,38505736,879463400,15597861,24896235,10527227,2923641,30189014,141414267,474264232,6491426,8535338,741790808,748832918,294041036,6993580,52149489,8329193,294828329,10506486,24712,10527302,46574686,507298,22026220,37,780715776,294771323,30188538,400991,849274331,73469,42531,20674033,458721,91239152,76264,40822025,44329175,5661598,82184697,9541851,77747637,20861,7057519,749192597,880839145,60685914,60650806,38581954,5736278,1200872903,1069797403,33,66988,63484833,41986,880369,6460604,1272020,7170573,27440404,27113,63493006,71946411,94698929,72018336,443138910,32320439,937099,500888,6488344,931008,749199758,4546,14599339,100307294,6759911,75589,20178,63011224,1375946,13297166,3483,3762,59318096,18710256,413559,6280746,92398261,24505,47877850,132,66488,32344276,710614,104,59046,815972372,6757803,15056240,831737756,48302672,6495588,942123,37846601}

Returns: {21, 30188990, 86, 6, 499455, 9317232, 699, 1, 203531672, 997345180, 41730, 740, 450692, 2, 38, 6757067, 8512952, 27, 729711, 5647, 753, 75463, 736286, 47566658, 21, 310, 14, 66952, 2806, 1, 60, 1281349, 24, 1, 6275654, 5549, 15775228, 8, 756, 481022, 37726926, 854986, 4, 518, 706, 302, 91491371, 10, 46, 7514, 853898538, 7820, 33031, 6004, 367770, 78, 294451420, 379703, 8, 734796910, 4, 14, 1, 22, 19, 113, 3245, 55, 904111, 65678934, 32344918, 3, 22168721, 61, 39, 879463303, 19137118, 1, 20, 77, 511509, 3551, 7359, 19712, 20817, 4, 1, 401059, 211949, 59106148, 10909, 3431, 46562962, 14494, 5, 1, 81, 81, 688136372, 61064322, 843945, 28, 493019893, 381404, 2, 8329170, 996, 63491945, 97, 8047, 342887798, 509176907, 19, 5736226, 28, 9473, 409663, 99157213, 2873, 7165796, 9896752, 4319, 370, 9, 65, 469, 3391, 68214948, 82184668, 95, 6993594, 4, 413516, 10, 255423921, 2, 8885, 13689258, 44324009, 8316, 26, 2781, 63, 94708177, 681164, 65724003, 1, 67880462, 855727, 9671464, 55, 3950, 1375847, 34, 3655130, 920, 3, 7, 24911175, 9299, 30, 16, 933398, 8711, 6488192, 610, 10, 442725272, 7369033, 56244, 39548, 429507, 24526, 3, 4, 72020969, 59835, 7, 15, 3805, 9, 3, 49, 5674335, 426412, 17, 9323423, 19062, 6508694, 782194, 730084, 59959706, 117, 96, 160481, 19824198, 21952571, 1082, 760359, 29738 }
{1,57006452,680086482,35245327,991228227,1977430,118589249,29031,2740727,1,95323,661,281,691344,640,3032396,87416,40324,594522,1,9727,1,48522462,1,257697,131,1,10438,8510564,1,47822360,60151,42,888010067,459,62069061,1,223291,60784943,17,7059885,66,255764,88306409,1,508346532,64,72080893,94002,193289336,208487687,1,62640188,5604,46,3,989042,1,19536,261434852,1,26,7,475417548,8,76,8084,56349,50320,1,353716,1,1,7406,1,599433,4488256,1,375401,417,9,234021647,1,827790873,80927088,90,9945,368927,1,56691,3,774112438,523350848,6008316,25004,53,2308,49616405,93,6}

{6,57006459,680086724,35245345,991228227,1977707,118589252,29343,2740729,27,95368,665,509,691344,652,3032404,87542,40363,594837,7,9996,185,48522750,4,257731,145,10,10693,8510754,25,47822419,60155,333,888010068,626,62069186,30,223342,60785068,19,7059888,423,255775,88306616,14,508346606,65,72081011,94006,193289381,208488087,5,62640248,5609,50,7,989053,246,19559,261434855,15,63,8,475417548,15,81,8138,56350,50333,2,353829,2,4,7423,2,599436,4488259,12,375402,418,10,234021794,61,827791029,80927147,355,9956,369038,230,56712,4,774112596,523350852,6008319,25018,57,2336,49616408,93,11}

{4685426,71,1,488096772,3,524655,510049,1,7294798,723454078,7194445,7785,5695182,1,1,2424,7170,76426412,3,5679653,1,809568046,386459,1,74115,44632283,9868,1,1,540,681729285,2513970,1,6455,917848352,138134,460,645,64586263,361,1,2734,469764463,7835457,551717,43970298,1,670824,6374719,2223819,375060265,65,429479684,2668011,119,1,20022,6026414,47,513720,1,19,129310666,77520452,4058,25270,62698,1,59,1,99373703,67,605188,330318,1,246,9860496,85447389,1,1,222,1202,440,41418676,14236456,19024,6658,5898085,9251024,4867250,731036,961607,607322520,725951,805059,5679392,5406,78618117,7264883,80842}

{4685455,260,2,488096773,9,524661,510049,43,7294830,723454086,7194453,8148,5695197,28,374,2503,7196,76426417,424,5679653,1,809568152,386460,16,74212,44632300,9871,75,2,567,681729595,2513980,15,6474,917848363,138138,650,651,64586303,707,179,2737,469764843,7835681,551866,43970624,1,670824,6374875,2223890,375060373,65,429479699,2668058,142,10,20036,6026631,81,513725,28,33,129310669,77520559,4191,25286,62707,25,66,4,99373720,81,605354,330354,149,310,9860822,85447414,5,6,234,1237,625,41418678,14236650,19180,6662,5898119,9251091,4867551,731242,961856,607322522,726216,805066,5679781,5421,78618143,7264891,80880}

"BWBWBBWBBWBBBBBWBWWWBBWBBBWBWBBBBBWBWBWBWWWBBWWWWWWBBBWBWBBWBWBWWBBBBBBWBWWBBWWBBBWBBWBBBBWBWWBBWWBB"

{60,52,7,45,30,23,95,33,40,31,93,6,73,19,56,28,38,50,80,21,80,49,21,65,99,66,52,39,83,51,8,97,38,70,65,30,37,27,70,45,43,96,69,67,9,62,51,28,51,74,33,7,29,43,95,79,25,74,64,32,73,12,43,55,8,4,73,19,90,54,50,89,56,94,70,16,76,70,99,6,40,11,62,65,81,10,8,60,32,17,24,26,42,10,31,27,34,89,62,73,41,94,90,52,17,57,38,59,90,31,66,80,30,95,92,49,34,91,67,40,91,18,54,83,69,77,56,6,21,73,95,26,40,40,86,66,54,53,52,89,87,56,8,97,2,34,30,25,90,29,40,18,18,70,40,22,18,6,32,91,66,77,32,64,1,1,22,89,21,3,22,98,90,67,29,31,90,71,41,15,80,5,6,84,76,53,17,19,26,42,68,75,96,25,65,34,30,41,45,0,72,32,98,94,93,94,52,94,59,49,65,55,66,81,17,4,12,37,12,98,28,2,15,94,39,56,20,77,33,54,72,2,48,7,65,91,63,19,35,56,13,61,96,86,31,88,34,63,37,93,28,54,51,26,81,22,36,5,81,66,40,50,17,52,69,80,50,49,68,75,74,96,78,50,25,43,90,31,66,48,27,41,53,41,10,93,18,56,27,36,71,59,28,16,83,68,67,73,57,98,21,33,89,83,99,96,58,18,33,18,34,61,12,84,5,64,81,12,63,13,28,28,50,90,9,49,19,28,91,90,99,92,13,13,11,26,81,36,59,52,12,18,38,40,32,28,5,34,91,81,29,8,80,57,73,42,39,70,21,29,16,40,5,42,5,21,85,23,82,68,53,7,35,30,41,97,6,83,13,59,54,5,65,23,53,10,19,22,15,4,48,20,62,34,88,63,80,61,35,19,44,48,89,27,53,60,36,55,19,66,0,4,93,31,53,63,49,46,45,18,96,78,53,74,22,4,27,70,84,9,59,51,59,48,26,26,34,29,55,29,58,78,46,78,34,59,9,30,61,42,32,86,70,37,77,36,22,8,46,59,57,17,47,60,47,80,51,54,30,62,83,43,40,69,0,74,45,10,15,67,61,31,34,41,45,87,72,92,80,92,92,64,61,60,83,80,57,48,50,61}

{32,24,71,17,8,59,78,29,73,88,75,22,17,54,56,65,46,26,36,23,80,55,5,57,38,66,87,6,64,9,77,85,65,68,94,58,26,9,65,78,77,1,85,8,68,7,59,84,79,69,84,68,7,46,49,70,54,85,45,37,76,46,13,62,42,94,32,43,70,62,84,51,60,34,50,72,86,26,93,99,14,79,2,15,86,50,12,8,90,25,68,77,7,27,98,94,77,24,87,30,24,44,23,97,98,2,80,0,12,49,79,57,23,41,44,49,81,83,69,13,37,50,31,71,41,29,47,78,52,90,59,63,54,59,0,85,64,44,34,66,20,50,70,73,55,12,58,48,8,72,95,24,3,34,13,32,48,83,27,95,26,71,85,47,22,65,17,62,6,28,34,68,84,71,35,37,32,13,12,41,84,56,44,62,25,61,36,95,59,76,46,58,46,8,80,2,60,24,94,21,39,76,92,29,68,88,10,26,57,32,40,70,77,81,37,2,95,23,20,40,18,7,37,41,8,85,20,96,10,38,77,96,66,49,80,93,68,24,2,81,2,85,35,53,32,66,77,70,0,96,66,26,55,28,12,58,90,25,45,68,63,99,55,73,15,3,2,37,47,62,60,17,16,74,28,72,21,73,39,92,13,50,76,51,57,42,57,49,21,19,66,55,12,77,70,30,2,5,50,9,10,23,39,47,74,60,14,43,91,23,26,98,19,56,60,92,88,89,22,36,38,25,76,98,28,62,50,1,88,20,59,48,69,68,62,72,68,43,82,6,35,75,3,51,49,64,22,65,43,23,25,6,57,65,4,22,66,94,45,50,78,75,58,6,85,10,46,30,10,99,42,58,68,71,3,86,68,46,0,5,9,4,55,86,81,83,37,92,9,11,31,69,61,10,36,32,72,73,93,34,30,55,61,21,96,26,36,89,58,86,33,55,47,41,18,30,62,10,53,53,88,96,52,9,78,25,22,82,79,55,30,56,34,42,1,95,4,78,73,21,41,63,40,52,82,26,43,8,62,75,68,62,39,68,36,23,1,93,0,72,13,43,47,33,92,16,31,33,30,51,82,84,23,96,40,18,67,29,17,35,99,78,15,70,90,0,41,88,4,94,31,86,86,22,86,73,26,39,72,98}

{248,491787973,29353,540762327,719516146,261948565,6054929,888015974,7382814,6797231,6134593,70190091,76129002,5679582,1,8535941,125371271,583538477,373,809568047,4,195513231,811020842,6001420,125290450,0,485852849,119098908,869205484,723454019,80893307,128215431,125345973,99677054,804714,729532101,232507,723464704,99702078,551941433,165918545,57009478,19116,9979199,723504341,129339930,261948509,86653010,482,4,821313152,21056,29800,96142007,196745001,99727022,44632264,19119,552312767,223681,14011164,5695453,95450728,129310664,464954600,992008276,337485,90462420,98996195,129310593,488384616,4923875,1009055,917067670,483820919,685428,14332297,99717559,6653393,119018414,7059240,8034,809397346,3055191,234017174,576258567,4340032,10035536,731490,31834310,281530,85437538,469990911,7279038,4810982,819324,832401567,4994056,123781480,729213951,329113,278338,731236,363885339,69201759,686113314,125371106,265606558,4964277,193519287,70406,6026418,729551678,5676861,1130121636,4,1151868184,94135350,56349,6368543,774850266,582953797,2573957,869209473,2802,85446870,71742654,118723896,442728549,408311,266600659,552928228,7059958,254888686,4688710,51706,3980,2121902,551008226,4853120,6257047,582539290,94465914,127896810,680086681,912153462,729532100,38351303,9304307,604672,12739416,410993,522747547,818827723,6368547,48908950,6875358,750110256,10495,778830513,60945,85447331,19188,72747651,8870075,57031576,124522386,124500104,927647251,514831370,965984016,7315055,94432496,56431,62206771,2676463,731492,691423,5692714,3032646,95163510,1493039,118630925,196001119,39259780,2673580,76466159,126,261938697,464136303,50320,580099,7663,40078079,25132,1597934409,729551679,329113,551486759,804882624,604843,14348647,1123408395,829524,6683901,8470993,484830098,820198,266947757,195512983,7085095,99727430,85392823,4,76608741,311141548,15880,223926,5704862,14324681,7916244,680057414,2810892,827275,10035154,989948,4,85444285,895102722,125371167,84842217,680089795,6398051,195483912,25130,768339925,552887722,5863147,618155640,233051439,679395346,19058,62199595,2665716,2573867,9196476,832401569,496916999,4908070,6726553,8565306,9792,66,8520590,239715330,48889617,730660,46084963,318293961,104834,545878218,583467468,76466729,491782143,3034825,523341875,846658864,195289302,72701338,129909842,12,76459015,295169,583548352,53142902,95536876,808836813,2236381,70430,1124204502,680723,583545552,11675268,2736,1263155,474791044,6621114,194504175,809578672,5679070,70743,261948566,14205604,85527629,885392201,729501310,680030340,2164364,577521722,716189287,802468937,888016515,4923548,796457835,80888,7720,18936,95547517,114852628,594551,917839101,7264924,15866,94154677,2502095,1130669307,243271507,884315,504028895,691928,116860603,53142900,569199449,6533738,731964813,320376129,577868701,48495812,782402033,741231,261867689,1124204504,691346,641086,129303538,595341,233972492,96141489,261947950,484918703,67625923,5133,449050250,7059950,195512982,8514782,46683499,917823617,692679837,234022864,44631880,122633294,6026418,6001418,991551148,517644984,70431,98897364,1273944283,583547801,295169,6460708,2482515,587587892,2482987,802468940,19056,729551679,7289164,131125,467346602,9778,62156942,729551609,523339300,128217941,119048916,869209489,5376768,259468341,723454010,989775428,25351,16596,236682886,861919767,5902299,1081764164,726484060,991235343,3894753,9989,129310658,910748619,9250465,552937845,604984,337683,56648696,912169328,728999952,6468864,4923885,809578671,2665911,9872,0,4923933,5699148,57860,892689037,991228226,66127719,2571323,3256917,1031803963,320376130,7289721,549643195,3256919,9247938,378512,489446245,723454085,48533810,1035860389,48898455,99726814,95163324,723454085,894828103,1009000,1178768857,463551367,57016225,5669762,1909075949,375929,337731,809567523,22163,552562702,7059824,491744484,917848356,261938700,803925232,719516142,129310657,470107872,50128,129313948,99727044,173556,85446832,580,8870076,9836443,4685491,261526329,6717970,156857244,1,888016514,1057921657,94380,2574056,888016356,2,129310606,869208929,13780693,7059893,7729,11745312,594559,552260482,7289235,79416074,62150973,80864,2829221,920877710,99724633,551585592,1581611,602533,1121422325,991228435,1129843300,1128099249,12542,16548,48909198,869192948,337511,6016767,6468479,582943157,7264924}

Returns: {6, 4685427, 57006452, 94, 680086685, 2, 35245328, 488096772, 991228227, 8, 1977450, 524655, 118589249, 510049, 29306, 37, 2740727, 7294816, 10, 723454078, 95335, 7194452, 665, 7786, 333, 5695184, 691344, 5, 652, 11, 3032396, 2432, 87420, 7193, 40324, 76426412, 594528, 36, 7, 5679653, 9986, 1, 4, 809568047, 48522748, 386460, 4, 15, 257707, 74208, 145, 44632292, 9, 9869, 10689, 70, 8510732, 2, 25, 556, 47822382, 681729285, 60153, 2513970, 254, 11, 888010067, 6464, 626, 917848352, 62069177, 138134, 7, 591, 223293, 648, 60784943, 64586263, 19, 534, 7059885, 5, 69, 2735, 255775, 469764463, 88306604, 7835457, 14, 551737, 508346532, 43970298, 65, 1, 72080894, 670824, 94006, 6374866, 193289336, 2223890, 208488085, 375060265, 4, 65, 62640189, 429479692, 5608, 2668029, 50, 128, 7, 4, 989042, 20024, 130, 6026515, 19545, 54, 261434852, 513722, 7, 10, 31, 33, 7, 129310666, 475417548, 77520552, 15, 4059, 81, 25280, 8125, 62698, 56349, 4, 50320, 65, 1, 4, 353716, 99373719, 2, 80, 4, 605191, 7409, 330333, 2, 6, 599434, 261, 4488257, 9860646, 12, 85447400, 375401, 5, 418, 5, 10, 223, 234021647, 1230, 61, 625, 827790873, 41418676, 80927097, 14236638, 95, 19025, 9947, 6660, 368927, 5898106, 34, 9251027, 56693, 4867250, 4, 731238, 774112588, 961611, 523350848, 607322520, 6008316, 725962, 25007, 805064, 56, 5679583, 2312, 5416, 49616408, 78618140, 93, 7264884, 10, 80875 }
{1,256799200,60607,1417,914138231,2023444,142568,1,55,871613969,40,2280,523306125,7,615,632100625,1,434988,664924320,3298553,515,3949237,1,944418421,8,37695204,5722,60416,12,57630737,84992,280,684857,1,1,47591687,260707931,5601330,6828,81,9948,9513,5268778,1,1,1,48526,981,7,9952536,54,658,6757522,1,9855324,2,689710,9824,1,72,7652982,7728945,931791554,235,39330455,4430,340162,839614255,7757,139661,6408,1,84,301514009,4,1,10,670660260,381,5,5936700,210,39503,989612064,311,48,35375388,8497188,1,3490230,38683724,181,1,17576,90203,1,1,10,11064353,285132}

{18,256799410,60672,1558,914138342,2023721,142702,9,137,871613970,65,2492,523306174,52,784,632100626,352,434990,664924571,3298554,722,3949238,5,944418489,479,37695209,6152,60500,75,57630927,84999,294,684909,4,24,47591771,260708065,5601344,6835,92,9977,9550,5268782,73,1,52,48563,1027,8,9952570,343,676,6757523,8,9855332,104,689722,9973,84,78,7652982,7728950,931791615,242,39330717,4612,340307,839614363,7773,139853,6437,1,124,301514010,30,4,98,670660277,429,22,5936729,236,39510,989612334,632,74,35375405,8497195,1,3490574,38683733,188,1,17580,90205,2,33,14,11064403,285154}

{954,82077,23,1837866,494218616,576337958,5219113,1,396,8,44892956,1,80,83,1,15,110088651,294725998,4000945,9,6682,842,1349,539898423,73051,5,27980265,3530,7722382,219867,1,53,1,707,91704841,256,54010137,65387,326,547227166,1162,4,96,691922,64671236,498233958,876219,93,1,693,1,1,87,991112023,399031,50633,433855658,364,1574457,111478829,464127,50,567,1,76622503,91750,1,9013,790171,1,1,1,1,1,1,5979,746271299,1,64700030,5715,384,91805468,1,2,73674473,69,1,4192,30541,98592,679802,26529945,28231,262488766,5740888,562659,4176,150479861,2441291,532}

{1006,82109,183,1837891,494218638,576338072,5219117,163,597,12,44892986,20,198,85,12,20,110088669,294726148,4000948,113,6889,904,1358,539898440,73318,6,27980474,3765,7722445,220076,2,80,15,767,91704929,397,54010143,65392,359,547227187,1322,25,102,691949,64671728,498234314,876225,93,5,747,12,54,90,991112045,399105,50888,433855658,405,1574466,111478942,464129,52,571,99,76622504,91763,16,9024,790175,10,154,15,1,12,93,5980,746271309,4,64700051,5719,566,91805496,58,8,73674513,71,14,4243,30580,98603,680108,26529954,28259,262488789,5740916,562775,4177,150480097,2441293,963}

"WWBBBBWBWWBBWWBWWBBBBBBWWWBBWBBBWBBBBWBWWWWWBBWWBWBBBWBWWBBWWBBBWWBWWWBWWWBWWWWWBBBBWWWBWWWBBWBBWBBW"

{33,65,34,59,48,52,4,29,7,47,49,78,53,6,34,35,69,14,33,15,10,21,31,37,78,94,98,26,57,27,60,18,94,53,15,14,58,38,44,23,61,96,73,49,83,2,87,53,25,66,53,5,68,5,61,50,54,95,50,39,9,68,24,5,8,43,23,38,98,79,30,48,24,57,39,25,39,62,75,41,27,19,39,50,13,33,23,39,7,23,74,88,56,4,37,77,54,88,22,57,54,40,40,95,18,66,33,2,16,61,69,50,58,25,67,91,61,86,73,91,37,12,78,96,48,5,20,4,4,13,10,77,84,94,65,31,35,47,10,96,44,80,41,94,97,45,76,47,72,81,95,0,9,92,5,21,32,52,99,22,41,31,19,93,79,88,16,50,49,16,52,56,27,55,71,72,62,9,32,81,13,66,0,12,21,99,63,68,73,18,9,67,64,59,51,20,64,52,51,17,26,53,78,55,40,52,45,14,61,17,43,25,23,72,14,22,93,81,73,43,52,83,18,17,31,31,29,81,72,65,98,63,70,58,98,83,67,12,38,93,71,12,91,16,73,62,23,27,38,96,74,81,41,69,54,62,50,65,10,2,1,33,55,8,39,83,4,89,71,92,16,52,66,54,11,81,29,47,83,16,25,92,84,15,87,56,83,44,68,53,83,86,10,39,49,13,75,3,59,97,37,4,90,65,68,26,94,94,91,77,4,71,91,63,35,13,74,83,77,43,2,62,7,3,93,87,57,71,49,41,73,65,9,27,10,34,3,94,34,97,1,84,43,85,3,76,53,70,82,82,74,99,66,76,50,71,50,51,49,70,52,98,98,7,40,96,40,43,86,99,9,21,39,28,61,38,40,35,71,56,50,12,28,1,55,90,33,19,33,75,62,87,91,4,61,51,30,20,50,97,40,56,13,21,59,54,32,45,53,23,37,23,58,80,24,20,44,38,18,15,38,67,90,4,93,20,36,62,41,78,65,37,85,62,20,26,36,14,83,19,94,68,59,62,20,89,51,60,62,15,87,39,88,57,0,0,78,70,56,59,10,41,78,32,36,60,57,74,45,13,2,58,40,77,59,90,17,33,41,75,52,81,69,49,15,91,80,49,70,31,87,97,49,87,66,69,6,63,25,7}

{66,12,73,67,41,75,63,35,10,99,61,33,32,3,1,0,54,38,95,95,95,55,87,27,0,17,95,15,1,61,26,49,59,32,12,78,38,55,80,48,81,58,4,56,58,97,64,58,25,14,87,99,89,87,46,92,42,67,84,52,14,64,22,22,3,71,68,52,66,77,61,4,51,80,23,50,87,2,21,32,62,42,71,99,93,62,85,87,27,95,60,33,58,34,33,53,87,64,6,56,70,23,23,97,67,24,50,72,68,74,4,37,86,52,4,15,10,63,11,65,92,20,32,54,35,71,38,6,15,7,54,40,71,67,83,27,95,65,31,30,92,67,51,99,71,52,54,4,5,84,72,56,85,26,2,81,24,49,48,42,61,11,21,23,41,58,80,76,54,60,27,92,17,0,32,98,69,71,15,97,83,17,39,81,93,18,62,22,34,25,56,42,6,27,43,86,67,17,18,80,82,3,56,77,54,76,85,23,83,17,32,14,76,97,21,5,2,55,43,87,53,39,5,76,89,58,26,66,25,71,64,35,96,58,54,20,77,54,24,98,42,17,80,8,83,35,97,0,26,34,81,4,36,38,96,34,12,17,76,17,25,33,10,12,85,36,89,15,77,68,80,49,25,18,79,17,75,20,26,76,91,94,94,95,52,16,95,69,13,73,71,12,45,24,45,75,27,80,11,36,50,7,0,88,15,56,84,6,75,48,51,23,57,88,60,19,58,96,37,52,59,21,31,69,63,13,20,45,83,73,20,69,1,21,39,4,96,99,32,69,65,2,6,6,37,22,51,11,43,23,54,73,57,4,9,74,48,47,17,80,58,36,73,68,93,2,2,2,3,92,49,5,80,12,7,63,5,81,47,70,40,83,9,78,77,98,59,20,83,40,86,28,2,38,9,94,88,23,34,5,93,79,39,15,53,97,19,0,85,40,32,49,88,95,49,27,39,23,96,33,30,80,15,98,83,81,92,77,80,61,65,29,35,22,41,6,70,80,95,89,16,95,76,95,23,54,2,67,7,8,21,80,79,37,71,25,74,47,38,65,78,81,68,2,82,33,38,5,88,85,79,36,28,33,31,13,41,41,94,89,42,76,40,48,97,99,37,68,73,21,42,92,33,48,5,97,66,1,13,93}

{340984,523393404,393218847,951084108,9561,6763411,1408356622,10258814,44892992,284616,2224255,64699691,991796906,3522467,348422153,47592313,10114557,6458,562010,632663381,44330222,3999269,8501062,5602467,64699480,289329898,12942920,660074765,256871315,7672162,35163011,658972107,105828079,991796906,108794524,64700295,1580882,57383,70607776,1484316909,99534144,1570363,1106842849,443117756,991186700,150540648,107451551,989537659,0,339532,999604983,578075779,4174038,582807428,8556589,28330,4985525,840168119,73674719,553984509,871613275,115155032,71749,578360110,1838793,691998,1483518970,6750928,13165472,670665984,7644006,1408356854,73767,5926918,951747118,37695113,555720023,931731408,3954369,675344,931734310,1970311,547227258,285589,262506226,931791810,1484316776,555720023,64256,1483754143,8117083,29803,432970839,1316652020,5665963,1661772312,1752970,115922412,5360393,434535187,10247990,1484305696,1484305696,149917328,178681873,413313,860,60687,109306260,7728974,1408217021,5666627,36949775,30937771,568733483,658630375,52621816,35375163,301511731,26442447,5638493,523312419,65384476,10250221,47592158,578361467,12840,1402995111,776256219,115,54349170,670651544,73674818,845256029,989699643,63894,48154146,95110,44893126,89169,64643200,833686269,8893,5935301,150480101,504991534,755727545,1408355789,578361381,18131049,562859,434544404,871613960,27958206,578300694,95753636,757962,3195643,285681,5270039,7719431,2072,651522,1221810572,15234,1543973,116025005,746271389,495567,117277516,6700696,434517145,295096730,49938,684890,13505607,931652341,871613976,631415752,58674838,989612373,294820768,547226284,615111329,266419579,668639673,931791942,796589,393218847,631230149,1304779898,834354506,110591228,111535499,692533,35381733,876897374,301048446,668924686,300227356,28013630,989275589,369844924,670711154,10243177,753028725,498234103,1484316215,981883424,0,1376728,37694515,1150791334,150480169,3949382,578360110,262531753,91754833,302205864,9184805,997869469,1536839399,1235237954,451980279,3588461,1574586,85385028,92145466,37695126,96182,102447285,47591926,10583,0,3251296,989618658,168963102,513849831,79597,271094297,5268872,817597097,32466110,110088360,688098321,884200016,1333836815,63285,27980662,91700665,91805690,1316551146,314708535,133323,10250221,1023495888,523306159,295064807,701378375,295100216,219186294,0,44842113,523306386,547227118,782914500,1404768035,628708972,670660276,769713,116025005,3195643,37354991,658670964,7989,203355274,57845001,7223,1017586480,636182638,64224971,5802858,68023513,632663381,1743816,324456706,990175096,64811261,797828,1292626042,989612333,487930860,453341184,547154152,508185921,5928,62715,7772790,111481043,357177906,5666627,1408356858,39362560,65616,632883010,406558939,68023513,574209,26524161,670660269,1408356186,1484316916,26539228,30801,40402519,3298595,1574514,989616499,665124326,7449291,111539327,927842656,362,1976275,262506105,8501309,15796,498234101,979660503,301504480,301520341,227148,614896650,3891654,502334263,1316652020,1835107,5935301,92389711,150619911,256804632,73734761,4669752,5361610,7372397,746269953,991112711,4126,731331,1484277383,10254372,301229388,330760,1166190919,871613877,25,92,397,304242833,5930702,8331810,301212410,292890897,797943,262495124,64741,51833,752423,37211845,312851,861662142,578262872,553163419,531028454,7728996,6920,578350247,139396618,1072,434538971,11121,466306239,879336332,321416918,670711154,29380821,111478141,3304880,989613086,14710,896416783,16215317,26590332,1408349702,863885063,5830416,115559,1484309553,91704938,427881366,262495124,434539656,547227140,628152217,879633274,159936336,2613675,498233161,991112038,1484305696,4981836,1474363662,1543973,6499116,10024912,63072,482555825,1484309757,668921185,632101371,78488,833686269,594096678,1394851168,1252083511,91798910,314689870,261131905,5927541,72428505,0,52184253,47592025,931792404,15861,22897683,314711696,5936408,990175096,290265,104437979,235173,634792530,932353820,1484309553,6665571,60098,832416492,931792178,632100910,4551344,553163419,24858,5656535,974,37696144,64700429,5519,434538219,111391442,19807459,91814771,63917204,624305,314678570,8116345,3032,578361442,498203535,52,66273,313143564,7731102,670661039,111478971,39363416,295151421,10289,5821523,3582848,1488751,654466047,131096,9953247,782580691,26814385,400393,10734222,301507605,3949718,3232555,150451868,9952583,8501420,578021246,150619911,5416695,256881267,37695254,262506341}

Returns: {16, 962, 256799386, 82078, 60666, 105, 1439, 1837870, 914138231, 494218616, 2023483, 576337958, 142640, 5219114, 9, 82, 137, 437, 871613969, 11, 43, 44892956, 2293, 20, 523306170, 86, 37, 85, 699, 12, 632100625, 19, 25, 110088669, 434988, 294725999, 664924393, 4000946, 3298554, 15, 537, 6868, 3949238, 849, 5, 1358, 944418421, 539898423, 53, 73055, 37695204, 6, 6152, 27980285, 60498, 3759, 75, 7722383, 57630754, 220059, 84993, 2, 291, 80, 684879, 15, 2, 767, 24, 91704841, 47591722, 397, 260707932, 54010137, 5601331, 65387, 6834, 329, 92, 547227166, 9977, 1245, 9546, 24, 5268780, 98, 72, 691930, 1, 64671432, 1, 498234076, 48548, 876222, 981, 93, 8, 5, 9952536, 720, 95, 10, 676, 23, 6757523, 90, 8, 991112024, 9855327, 399072, 41, 50873, 689718, 433855658, 9825, 368, 84, 1574457, 74, 111478830, 7652982, 464128, 7728949, 52, 931791554, 567, 242, 31, 39330476, 76622504, 4432, 91750, 340220, 13, 839614340, 9024, 7773, 790175, 139832, 10, 6416, 23, 1, 15, 87, 1, 301514009, 11, 5, 24, 4, 5980, 17, 746271299, 670660260, 4, 426, 64700030, 6, 5718, 5936700, 395, 236, 91805477, 39510, 57, 989612196, 7, 314, 73674506, 73, 71, 35375388, 14, 8497188, 4241, 1, 30569, 3490232, 98596, 38683733, 679803, 188, 26529945, 1, 28242, 17579, 262488767, 90205, 5740888, 2, 562775, 25, 4177, 14, 150480061, 11064402, 2441293, 285148, 538 }
{801759,84,3635332,89127,1,83,996516329,1,999851,715951783,608,6642,700081,5178189,475962895,53310,1,1,857,874,402365813,55,78970626,10974164,1,730344,383,6353,20335932,786,267595221,187182585,57,419054250,801616880,1,4783082,51,51,454565603,1,68752818,91002,3642,8730,28,340943,270,88570155,31352230,122097,473,943990,1,18688,21234010,1,4724125,1,186154,441138788,75053,601,1,499861776,179,1,891694837,5994403,11982,4698861,942555128,1,136,34,1,1,55593612,2313,1,93356,690976027,78117,55846973,10,1739,1,29,2547,792208,5808,49223894,98953676,9843,299071316,88941594,64071,93,1,9170}

{802176,504,3635343,89319,340,88,996516333,2,1000065,715951788,779,6645,700100,5178534,475962906,53453,98,5,863,883,402365823,57,78970632,10974170,27,730393,463,6355,20336007,788,267595236,187182616,71,419054277,801617019,30,4783265,61,51,454565763,61,68752832,91433,3646,8731,139,341101,301,88570157,31352473,122242,474,944000,241,18830,21234028,6,4724129,34,186355,441138819,75054,734,15,499861814,226,6,891694860,5994728,11985,4698875,942555133,44,190,90,27,167,55593814,2503,1,93366,690976028,78133,55847045,31,1769,1,454,2649,792582,5826,49223917,98953903,9852,299072022,88942038,64072,357,76,9590}

{12,16314676,1,1,654576024,923151301,1,5303,1,23,61,1,3821408,15,1133,373,3,1,1,1,2430799,552,737,64345,3101,1,1,755780254,44314781,3397,90804627,1,231222,1,3681884,1243,1,1,44222,458700304,7139612,4601,6296317,54911,62405,1,69961,82180,681,4,86988,5790,392002268,8015591,472778637,7061,69524437,9931,935,1,20914811,45841778,71766,3,85195,911548431,1,81,4116,213,639970618,65,1,9642,256,1,1,29506139,66413,825978724,58462430,1,80265196,2116,1,2,4397479,880477,1,55629539,1,667,38440151,1,36054,417,425393,1,51571250,1}

{46,16314680,1,98,654576055,923151312,11,5782,150,48,73,1,3821568,18,1168,671,36,1,12,10,2430858,579,764,64394,3139,48,20,755780384,44314792,3405,90804692,1,231227,7,3681888,1361,212,4,44285,458700304,7139658,4612,6296682,55038,62605,32,70243,82187,846,9,87030,5820,392002309,8015635,472778645,7061,69524457,9976,1077,4,20914908,45841783,72088,8,85409,911548457,9,170,4476,257,639970620,65,42,9996,258,9,3,29506276,66432,825978772,58462493,3,80265201,2131,3,4,4397541,880765,37,55629752,4,679,38440160,58,36065,465,425645,17,51571285,1}

"BBWWWBWBBWBWWWBBWWWWWBBBWBWWBWWWBBBWBWBBBBBWWBWWWWBWWWBWBBWWBBBBBBWBBWBBWWBWBWWWWWWBBBWWWBWWBBBBBWWB"

{90,6,84,65,64,9,88,4,73,79,67,43,83,80,75,66,60,79,35,65,81,82,19,0,17,42,94,10,70,75,95,28,8,56,72,63,82,42,10,20,73,54,85,24,63,32,27,69,17,35,33,0,11,55,75,8,75,23,64,63,29,76,7,37,93,54,66,15,44,75,67,17,91,9,18,17,42,33,26,51,6,78,17,6,99,95,54,64,85,24,53,26,31,23,63,72,24,90,78,3,7,93,27,62,77,37,66,15,63,62,89,74,83,58,26,70,30,74,71,72,69,84,80,63,55,66,95,12,25,2,55,99,64,45,58,85,30,10,65,79,53,93,93,2,32,17,34,43,29,40,45,98,53,89,19,54,64,29,96,55,83,52,25,27,60,35,16,95,0,50,76,64,78,14,91,85,23,86,47,12,44,24,66,64,32,2,68,8,74,36,43,55,1,21,30,68,23,14,60,41,66,6,62,0,1,0,22,21,47,9,90,13,25,28,8,70,18,12,76,78,38,24,78,76,50,21,7,77,11,32,29,24,65,30,54,30,67,48,2,76,61,22,23,18,93,83,14,37,58,25,36,6,89,25,15,23,52,16,43,60,63,13,48,28,12,7,38,96,48,20,27,1,56,39,66,13,85,62,82,34,81,30,22,56,69,96,32,95,6,14,79,44,80,96,81,78,38,81,21,5,79,84,90,32,68,86,49,59,19,45,13,1,9,46,97,48,6,34,73,85,64,20,90,46,32,92,78,2,26,25,96,3,77,5,29,99,66,25,71,11,54,8,96,87,56,55,93,26,0,44,37,21,38,80,4,61,92,95,15,70,10,79,52,82,67,9,76,92,77,17,50,76,77,47,10,18,33,10,75,53,85,64,25,36,80,18,16,96,90,92,25,63,80,36,96,14,76,49,63,2,39,63,5,41,95,70,52,60,79,93,64,81,32,98,75,76,1,2,13,80,76,52,21,17,45,85,70,87,27,50,43,40,51,48,50,77,96,53,6,38,71,60,61,34,94,26,74,78,82,92,89,47,7,46,3,5,31,44,67,68,20,68,0,26,52,50,40,95,51,90,82,31,3,24,11,22,54,25,59,19,57,93,86,92,27,70,81,58,10,60,9,78,23,0,78,21,24,3,12,82}

{88,79,25,56,9,24,65,87,98,95,76,12,94,92,2,35,85,84,84,20,78,54,84,60,48,53,57,21,40,7,76,2,10,46,36,29,37,42,19,26,78,10,56,45,3,23,35,87,66,90,8,4,34,94,9,88,37,9,29,86,54,58,58,86,60,53,54,17,85,9,70,11,4,24,36,65,64,15,23,34,84,25,12,73,11,23,24,36,54,38,54,68,68,13,69,2,38,56,75,44,69,79,47,54,40,78,96,91,41,22,75,30,75,58,1,10,47,78,57,87,74,45,36,2,53,0,63,74,60,87,37,68,39,3,51,18,72,16,99,78,38,93,70,30,83,75,96,33,30,26,83,5,34,29,12,34,94,15,46,42,81,52,75,72,32,69,67,31,64,83,25,21,93,8,0,7,41,80,35,53,76,22,28,99,64,81,14,22,14,97,31,79,26,39,64,26,0,87,92,64,5,7,50,47,79,72,4,33,40,76,50,18,6,57,18,0,24,45,88,5,43,77,1,64,94,44,74,66,26,65,25,76,52,27,6,13,70,31,11,35,91,15,33,25,49,36,8,99,9,37,39,88,94,79,81,99,94,35,73,90,98,65,80,80,69,56,67,49,51,7,91,79,43,8,47,91,10,41,91,12,90,40,62,47,96,67,28,63,83,30,26,85,48,20,73,60,3,37,28,58,94,89,98,29,97,71,12,50,62,46,1,19,51,14,48,88,48,33,47,71,43,21,31,69,43,57,12,58,88,12,34,81,15,73,50,0,94,57,2,58,97,33,73,58,46,39,48,38,37,36,47,44,80,51,2,82,99,99,41,26,67,32,46,82,29,70,49,20,3,97,51,48,63,17,25,67,15,57,64,55,97,24,57,98,32,99,97,47,69,58,37,35,8,59,32,31,94,67,48,96,71,8,8,50,76,64,4,95,52,42,95,11,63,35,0,28,34,50,90,52,42,56,40,83,72,1,77,52,30,40,90,1,86,96,92,5,72,91,85,62,32,28,89,36,30,7,12,32,59,76,59,72,8,66,13,79,24,28,73,6,45,96,27,73,38,97,26,27,68,16,80,57,40,98,93,51,94,50,65,81,95,81,76,93,87,41,12,97,32,19,90,90,73,34,34,68,17,47,80,49}

{3186,1822495059,730434,842024189,216175362,715954890,911550870,653695423,51561830,914920326,891694933,4462937,243258562,118882867,3635336,1249,462051951,825978735,1251,1311483227,691040130,392572869,874,461251583,88570998,1810053,294373574,1213,637529880,5517,88942461,61015441,999330,69795300,4783083,4175,80343265,6,165,404796265,58904,472796490,69526223,3143,89303,11140945,755785488,892406,1,7062,418054207,655378174,805292122,277866601,715951816,997406,47,705041965,499942993,4397534,472793146,940,4574,4397594,462043872,464781729,472797325,53821,69379,715951819,1526966516,6646,703799300,715954888,4782243,911548650,505981928,419001447,11038163,805292505,996516321,794452,4521491,996525783,2535,78031813,472794190,495164070,472795557,41197,464781733,5998524,181192633,5860000,12190,3635375,41199,69530283,68725,142983,17277,825988579,755704257,472724646,77960481,68679,489468,49170778,68757432,79041378,56421925,358399512,55849104,4,16314975,644668653,358317374,68392,937840916,880784,11942,41,63152186,3635352,29242542,802140,88942456,4521149,461323284,4515975,21241022,5989728,503911079,89285,5332,918,358399804,749,911557406,825914628,7971360,0,644659646,354764512,56076040,11,804809297,419105524,358395669,7139996,55849061,871580120,805950588,56417749,4520608,1270694945,200839503,55418,632174,27432493,635131149,6,730436,755786681,461822427,13010,891694844,98240991,499145036,55809794,730437,499946568,73958,474964007,48422455,7277,57838447,54158317,81232,4894266,71147,78973033,64650786,499937996,500007544,687340689,469971797,77971314,475963712,4783016,187233858,847205680,16314981,913265314,322985791,5998519,10236411,476842381,359710174,431189746,923151399,996521833,136424,883998,809664139,802145,733545948,419054750,7057734,715951824,203287,5177686,995785984,59916684,999195,643867358,3994,4521439,2652,923087125,14223,85096953,16250495,499947170,299000470,70539,5342,85100092,6262,911317350,732962,3142,520489952,932564629,1469276280,353221300,1526966512,98613275,3628698,1248,94989974,78917548,408144465,729575,31342627,51066003,474964006,9129,715952689,730390,908482814,996513690,353873053,826709073,690923224,11029369,690093833,1319,48731,462047898,51571276,916726745,146938450,34390353,4509296,69518953,891739002,31713795,88574638,404791144,804997271,809664135,69473187,912265871,82480,44046044,1053,68819716,129410321,801056329,690970205,351260239,79041377,69442574,477271,892056100,64419494,88942456,940671450,299171152,825979108,69378,146938446,404307181,690985482,461984994,133529,690975978,64650181,923150460,1125014288,56421921,51577106,228547,5998806,946952611,34473791,151264,72366,411269,21493113,16315477,715957068,475690907,88570906,88568346,907947017,386244516,72655,942553429,499888621,404796039,187176768,399122,179889,132659954,4452761,3636279,2272,3851679,804809302,690886736,85046273,923141774,204931,792960,299107676,4003670,938919856,7584,472797232,418054210,479642,879898,69795297,892024848,88561153,44621,802087,4836747,82430,70540,58511521,58549590,658211402,34426479,137384880,88933280,68703621,644669109,891694100,825747572,392534963,1,891697383,1351223492,31352477,339421264,85010801,101,202847,88570998,85100087,82480,729632,891694065,419001452,4733269,499947167,29242544,1680,499944040,4003664,56354337,58324563,8331,8,406988,6376,137393122,730389,1242,59369181,4596761,258177,288781472,299107669,860342457,88570995,3996669,946689757,1000053,924151270,68713142,88942459,1135048133,263517784,373111263,434920452,6377974,411004719,690969383,231290,51570042,802134,64650780,814249589,3600254,5172728,334390419,6387823,323421813,7139116,55849111,36,16316366,661359284,392065445,932564625,7174706,57095,9175153,4392228,88930642,137184953,949238769,489419,57238831,996514561,28355,942786225,444202695,10505099,800515654,122244967,5889,4521145,167058,80373435,137394057,56235583,82430,1005550,411318,5089258,97172674,187185725,64579640,891704227,990526375,404796599,6351286,756576143,9842,392901939,209012,7139993,844715625,5995274,5743,21817954,182468434,7228906,51568148,3209,78975211,771795508,695257,911734578,690975149,84227449,690966179,4397545,137384205,754905907,704019977,694097356,1026,231875,462052838,715946004,69930,11028719,804496631,805230035,5998297,3144,171180,55247808,111539542}

Returns: {802122, 13, 91, 16314680, 3635341, 1, 89297, 7, 177, 654576035, 88, 923151301, 996516330, 4, 2, 5509, 1000049, 12, 715951784, 44, 779, 64, 6645, 1, 700082, 3821408, 5178534, 18, 475962895, 1150, 53313, 510, 95, 15, 5, 1, 863, 11, 881, 3, 402365813, 2430821, 57, 554, 78970626, 745, 10974164, 64375, 24, 3122, 730387, 42, 393, 11, 6354, 755780318, 20335973, 44314784, 788, 3402, 267595221, 90804627, 187182585, 1, 71, 231226, 419054250, 7, 801616880, 3681885, 9, 1243, 4783082, 29, 52, 4, 51, 44284, 454565619, 458700304, 61, 7139658, 68752829, 4610, 91152, 6296597, 3643, 54911, 8730, 62406, 44, 13, 341075, 70227, 298, 82184, 88570156, 844, 31352457, 9, 122104, 86995, 474, 5790, 943991, 392002269, 93, 8015591, 18688, 472778637, 21234017, 7061, 4, 69524443, 4724127, 9964, 3, 941, 186346, 4, 441138788, 20914905, 75054, 45841783, 668, 72021, 15, 8, 499861776, 85391, 202, 911548431, 5, 1, 891694837, 84, 5994418, 4461, 11982, 224, 4698873, 639970618, 942555128, 65, 44, 42, 190, 9644, 87, 258, 9, 5, 2, 3, 55593739, 29506213, 2315, 66415, 1, 825978725, 93359, 58462485, 690976027, 1, 78118, 80265198, 55846995, 2116, 14, 3, 1769, 4, 1, 4397527, 121, 880709, 2647, 9, 792255, 55629540, 5826, 4, 49223895, 667, 98953893, 38440152, 9850, 3, 299071604, 36061, 88942026, 427, 64072, 425397, 97, 9, 27, 51571251, 9174, 1 }
{63,7,1,6994363,2,81032702,37254,8420715,6830,1,314036496,1,1,6203886,3,36185476,4,8283,39,51,1,1,356,21949797,23503,3698,87036602,52846,483142,1,608795174,47028140,45455207,1128850,74246,763142386,496,1269452,78,1,4830026,34962,84,7537324,96863863,51461,1,1,4880,814316908,1,7643,79633456,1,1,7682,303842,6,4270987,38992,402601,3650800,852,88477,457095470,180877,4252413,4883,841425193,3747432,37,9957,4,9,24,9194,157098017,808637,371959,6250724,1,7767,8824,7,332,72889,37,1,1992526,5002,30,914,20,52,1,1034,1,5141,915198250,1}

{94,13,268,6994500,11,81033023,37533,8420719,6867,6,314036498,9,2,6203895,133,36185477,9,8286,97,51,30,20,358,21950186,23524,3900,87036611,53210,483153,21,608795446,47028141,45455262,1128969,74538,763142414,500,1269469,82,3,4830057,34965,104,7537494,96864076,51863,65,2,4938,814316938,73,7770,79633466,84,68,8242,303859,22,4270988,38996,402612,3650870,868,88796,457095477,181196,4252595,4885,841425623,3747473,44,9999,19,10,35,9200,157098018,808639,372005,6250727,28,7767,8892,37,372,73122,41,1,1992702,5020,92,916,23,58,12,1048,14,5505,915198587,20}

{1,45474,34884,758167,336556,403270112,4343804,1,1,419518,968356531,9637,84642027,1,63,3221874,669,831738295,385151,1,428321,1,364,54,3600,2073807,863584798,23526,1,37514,30330723,685766536,203100,6064306,447285,67,386509,918,1,6354156,6,530383,298,58531333,65059,478,1484,6819432,271,1,439,1,7319981,91735655,438,63,1,2505656,77359959,500358374,1,30,5348002,168841308,8898,5980,54,1,79,3265,450,128894580,666360992,509,9493,463,60833912,1564537,1,1568,7831755,84353,69,1,235619136,49823,9020,802675391,873747941,85745385,6293,535,889,1,61,29,32,2006971,840,76197}

{2,45729,34986,758299,336720,403270119,4344121,3,184,419553,968356814,9637,84642252,5,395,3221874,688,831738483,385197,3,428860,241,601,77,4104,2073980,863584809,23578,13,37785,30331089,685766616,203103,6064309,447341,141,386510,954,1,6354174,8,530389,299,58531339,65063,511,1495,6819553,530,5,463,220,7320352,91735663,459,68,29,2505772,77360018,500358646,151,34,5348007,168841461,9128,5983,59,6,419,3319,546,128894622,666361120,526,9805,552,60833915,1564627,5,1677,7832053,84356,72,164,235619205,49864,9021,802675407,873748055,85745530,6550,585,895,177,65,255,53,2006978,865,76197}

"WWWWBBBWWWBWWWBWWBWWBWWWWWBBWWWBWWBWWBWBWWWWWWBBWBWWWWBWWWWWWBBWBWBBWWWWWWWBWBBWWWBWWWBBBBBWBWWBBBWW"

{43,8,47,9,55,66,56,90,86,90,8,51,69,70,49,13,9,42,62,25,6,50,52,89,27,44,53,44,79,57,86,95,63,9,11,47,56,53,31,37,11,87,45,3,62,14,75,86,8,49,68,71,50,6,1,37,4,82,52,78,21,80,85,94,66,93,22,96,88,71,30,29,98,8,1,94,88,70,43,25,81,92,68,43,54,21,78,16,49,65,87,49,90,80,10,19,47,9,22,74,42,77,85,22,82,25,6,43,45,2,2,41,48,52,73,23,56,67,38,52,38,80,76,63,83,48,77,71,21,0,71,21,86,37,81,36,7,30,13,44,70,41,49,44,21,3,51,44,82,81,48,31,6,69,7,45,76,34,56,8,18,50,74,16,1,36,71,23,27,93,1,77,59,38,90,43,76,63,44,71,35,86,47,41,13,2,54,33,72,41,21,37,53,27,21,74,81,73,19,64,3,90,98,34,58,61,6,60,25,62,65,71,79,68,28,42,87,67,32,98,10,76,13,37,9,27,46,22,74,50,83,36,7,54,11,39,15,47,91,12,25,13,18,34,60,82,96,72,41,76,69,99,90,72,51,52,49,45,85,46,46,52,51,27,83,2,22,2,10,49,17,84,12,49,0,5,70,76,31,12,14,83,74,38,15,33,84,76,99,87,90,40,89,56,73,7,48,1,17,63,41,62,7,19,68,45,55,8,45,23,63,70,73,82,60,54,72,48,26,12,14,41,78,87,66,17,58,61,74,69,95,10,58,33,47,69,0,37,92,27,47,2,9,22,82,48,16,79,82,72,73,2,74,88,74,89,4,11,40,37,59,26,51,76,0,73,11,94,65,2,62,44,8,21,91,52,64,85,59,0,39,29,35,99,56,36,20,61,19,87,62,3,0,24,79,95,29,65,20,75,36,66,0,59,75,48,42,60,75,21,35,82,67,5,23,18,59,12,64,95,47,42,53,65,52,68,94,47,55,23,94,19,4,99,45,18,68,81,9,3,78,36,30,15,27,10,82,79,75,80,9,78,95,16,59,89,4,78,95,67,29,7,46,11,69,19,2,86,78,84,25,22,31,72,11,2,37,94,97,91,47,34,9,55,79,60,38,89,22,11,68,61,89,10,74,93,63,42,6,9}

{64,27,40,73,70,43,69,7,37,1,30,38,36,96,47,21,22,24,71,52,74,4,11,56,22,93,59,86,8,55,65,73,59,52,42,94,67,60,78,15,65,15,65,98,10,21,0,92,56,99,52,25,89,33,74,97,0,55,89,18,21,66,87,15,16,93,48,71,13,89,41,36,25,74,50,57,66,70,49,24,2,24,97,44,84,57,34,17,85,65,40,72,10,17,92,33,29,26,15,25,81,58,32,27,31,5,48,94,37,11,29,34,48,92,14,69,50,46,5,56,10,2,21,69,61,62,64,31,33,32,34,68,23,28,96,35,3,57,2,88,26,57,13,34,39,74,41,30,68,31,52,92,49,31,78,70,51,28,70,74,31,38,61,60,27,8,41,13,10,70,70,89,49,35,79,62,52,8,91,19,91,76,96,8,97,29,68,48,16,72,77,75,84,91,20,80,24,46,81,60,96,51,27,54,99,94,82,44,64,2,7,84,15,97,78,37,1,13,15,80,29,61,10,22,20,30,54,11,14,56,87,29,18,48,44,25,30,97,49,71,13,17,0,92,1,61,92,33,48,30,22,59,56,7,62,96,87,54,17,83,22,48,68,61,56,66,96,97,69,17,6,67,25,75,12,18,40,52,90,74,51,38,17,46,56,60,36,52,14,62,64,93,21,17,53,61,74,88,9,64,16,55,72,24,74,54,68,60,91,65,9,71,81,25,16,33,16,62,30,58,49,47,83,82,40,84,80,88,75,2,86,31,66,16,35,17,32,98,62,49,55,94,10,7,89,3,4,60,46,60,85,67,2,94,21,78,96,67,53,78,38,37,2,81,74,4,22,79,44,61,65,57,66,42,28,72,80,62,17,82,48,98,34,10,41,40,95,15,6,29,77,55,98,15,80,2,37,33,58,30,78,72,21,52,51,24,87,62,77,7,7,69,91,74,82,41,41,49,82,93,90,40,69,24,38,28,79,34,39,41,94,62,98,92,28,9,26,43,6,82,20,50,10,21,7,54,54,15,71,80,69,98,43,92,61,61,67,95,47,54,51,12,28,75,20,62,2,92,74,85,50,11,73,62,32,21,99,35,63,62,94,11,89,54,19,31,74,18,71,38,60,54,93,45,47,25,43,83,38,22}

{508080464,69687,11649642,419499,8854,61816311,3447127,8427300,1277570,39575,639119616,7691,4130447,782,821136706,6203930,419597,27034,123555856,84876446,4371979,336324,86944568,86044530,76016,96929375,408662302,96920146,6245524,2513784,184637,1938,331566992,86534618,9564,6819591,299197,92138255,732422885,38137131,184931,835639207,135079,908961504,1277044348,108,9879,8316,297347,814393579,769112394,126827310,85750527,2812335,36290,3270696,337121,856,158054051,757249,182,12084617,802698563,39407657,4253300,196,5035,128904802,877959780,43154252,638560943,349808,917267840,16647,45451,2505799,876008132,286,865310947,2090092,57399,26684,843427377,147793089,235619543,2505966,745204,831746250,814294192,249,807505722,1480678371,1282386550,823915108,1282392238,7193318,6782041,950202044,39406841,2068416,91971,79258032,45535835,75943,732786200,482225608,4376342,66068937,1218692,25466,2722,122523,45,86953229,863,18206012,304549,6667,484303172,86649929,1282393398,7797301,217932028,172497413,3651283,5352069,457842311,603890283,7193302,45658493,128511932,841425767,21959415,787543,92374,763528624,2184769,636620828,6238962,968554827,950621029,2010357,808113050,97172082,6354439,7743337,557751,542197341,841416767,732702914,86949097,732794285,818623506,729044288,8048951,51787,217924538,856538,304513,16684,732409695,532,3660690,403400,75332,392878,128389397,15746406,1282317009,536,45424,84984977,1314636903,763142603,6256083,60719952,130978365,168923117,96927927,128904805,763142050,217922973,6819636,558518,8205786,3060,841426035,7188312,666360494,665865874,2373613,1260799,143883948,75156,428691,7822659,96453,1128,92492,456702066,7752710,14336,915168640,521187,81554874,3651195,4372287,96526634,459156733,5313839,8245817,106734621,33155416,843427103,111161,1270133,802630085,6199344,12288777,923029468,1282355550,214281283,1276189208,1269903,9226,639050145,1338,9780,9711,304659,802675548,349702,8806060,5108,96919522,4284175,599719043,4817658,814316724,44262735,8274364,837934145,385644,520844,448460,3642182,1021,661425821,560650,482200738,3750448,500321436,310489,674782045,5355012,86953812,1616992494,51979,831753548,1824,1662,86948930,841417992,3621741,303911,4287472,846,1977148,1278642310,1646047421,827423932,235623805,82572279,814308283,84642782,483918321,4830830,130978254,732788259,84633187,8137,465,831737519,1604,39103830,6790746,235232873,130978240,76258,797328398,457098133,4830033,85750833,832034333,91735409,4770352,14239,875694911,831327612,625839477,564701,5355205,674781881,27321,841434752,51807,841417350,396186,51150,21775199,168510740,128904395,91993,2079229,403331,7193261,666360449,5352131,1355012998,11553279,814317328,6324224,372325,802684264,577681,596127197,73799342,875406378,18489,3779144,10381,549598648,77378737,7192611,769962160,835474622,45658268,913929071,5347986,814288009,6827939,35297,1281973820,8420861,85749321,7747628,336474,5849794,10641,666763742,122216,40009,25922,875740771,9844,86112797,336862,14730,96565854,898735,500397626,949351097,42930,217840139,9632,336433,9931,6252361,96742228,3685915,5522630,99305124,4245944,615,482978,738674184,464918246,5370508,331410644,9179,6359189,915235151,763515573,1282316868,799552,5216216,429689,35756733,4381528,802637989,4591299,7744921,915199428,39380120,14081120,36231,1306109,7006467,81202615,639116708,758427,670613950,311,572633089,2526,22234,802675602,5749761,2363830,8421123,754722186,3742315,4592,484294043,21941478,180327,499832406,898959268,457095756,1042,6813379,4830516,95479841,159958,86953954,840942275,6252299,6446779,6362614,22445702,331,5349160,915534411,75715,432246,34868,1617973536,65976975,3961653,7744098,800888,386981,1232784933,39407675,8391861,1282392972,9483,33155444,128895148,254,4163733,914827311,66067624,571,503970779,89391394,341697,371096,6820761,5696,45453,93063046,485016,18519,4173024,5348913,439,8344,381514,235642360,2077242,9965,732794680,661013982,45648740,35076,1344786,763142715,166918093,5347623,6819636,512030,85331002,8824,6252629,732392175,9968,85365665,128904124,10012,841023080,3651536,85750888,1282341317,6810144,2077670,117759119,602,4381365,419629}

Returns: {75, 1, 9, 45605, 66, 34984, 6994454, 758212, 3, 336638, 81032865, 403270116, 37302, 4343871, 8420715, 3, 6849, 131, 3, 419545, 314036496, 968356587, 9, 9637, 2, 84642140, 6203895, 5, 17, 130, 36185476, 3221874, 7, 679, 8284, 831738389, 74, 385174, 51, 3, 9, 428590, 20, 60, 356, 482, 21949993, 65, 23523, 3851, 3801, 2073881, 87036610, 863584799, 53029, 23552, 483144, 4, 21, 37631, 608795264, 30330906, 47028140, 685766575, 45455234, 203100, 1128910, 6064308, 74372, 447295, 763142394, 104, 498, 386510, 1269452, 953, 81, 1, 2, 6354165, 4830026, 8, 34965, 530383, 98, 298, 7537412, 58531336, 96863969, 65061, 51676, 494, 37, 1490, 2, 6819471, 4905, 425, 814316923, 4, 37, 451, 7660, 110, 79633456, 7320246, 45, 91735659, 66, 457, 7972, 68, 303851, 29, 22, 2505656, 4270988, 77359988, 38996, 500358510, 402609, 81, 3650835, 32, 868, 5348007, 88653, 168841331, 457095471, 9096, 181038, 5982, 4252506, 57, 4883, 4, 841425193, 79, 3747473, 3319, 38, 498, 9979, 128894601, 19, 666360993, 9, 521, 35, 9565, 9196, 507, 157098017, 60833913, 808639, 1564558, 371987, 4, 6250727, 1623, 21, 7831765, 7767, 84353, 8824, 69, 16, 82, 367, 235619199, 72916, 49824, 39, 9020, 1, 802675392, 1992526, 873747941, 5020, 85745457, 92, 6549, 914, 562, 23, 894, 58, 72, 11, 65, 1037, 118, 14, 53, 5141, 2006978, 915198312, 864, 19, 76197 }
{116,2187849,1,748453,41658304,958706286,38175,95619155,457898439,691,6,1,6676,35556,244,18366924,1,90491,480397,803304984,1,327262,7446641,7030140,511536752,72,298118104,1,1,2625,4052,733360,70165,1,1,51120308,3413509,851368,5485083,153320715,6359,1,526564,5169,79684647,1978809,2277560,17267,334078,48237825,5963024,64075970,1,1,431040696,1,6652,1,1,1,727950,845658,48475173,225376,33,450248,40,1,481726479,6654309,689904066,1,1,1,840,229,784,83,1152,1,34,982883,355,60,38499,400603,36271671,6737208,3751,41960,1,33476157,110,6428899,293314211,516,1,73,386,9385}

{163,2188009,2,748462,41658413,958706636,38341,95619377,457898441,1018,7,1,6814,35991,507,18367017,16,90540,480399,803305053,45,327264,7446790,7030452,511536774,176,298118113,36,176,2713,4060,733376,70274,15,72,51120421,3413522,851493,5485185,153320716,6476,79,526664,5293,79684656,1978814,2277667,17346,334091,48237830,5963057,64075974,1,20,431040711,1,6829,483,27,5,727954,845666,48475178,225389,67,450338,51,8,481726484,6654309,689904067,250,279,9,856,414,1066,101,1203,13,36,982892,355,71,38764,400686,36271672,6737310,3754,42314,1,33476160,204,6428918,293314231,516,23,201,401,9385}

{49368,1,1,21,336005049,790493681,27733532,72876257,17,2,9885,299810,361280283,93709,235702966,162521,1782583,251397,24067768,79843270,1,392556617,2137,6368,1,7110,872,220227,1,218,1,381446,274246352,218,5879615,492763,84825067,6981,1,9762,89332,1,33837,3026,34965,8628606,1,1,2,4580,661,861722169,422671700,1667376,483,36586,6697,1,105308874,104,1118263,7,53983407,1,1,10,1,37,403786,1,23868685,677792932,2703,509,42,1,163107,780645045,40,755633565,1,321244041,1,33317,690505,1,269270,1,343,65475,68,1,1592,261778319,1,312515,11880,438,5,92837}

{49680,1,4,136,336005188,790494114,27733711,72876286,39,161,9931,299815,361280692,93725,235703080,162548,1782630,251563,24067794,79843276,3,392556997,2141,6541,196,7233,956,220232,161,228,20,381682,274246375,414,5879743,492790,84825070,7069,2,9790,89363,28,34028,3082,34966,8628636,66,39,12,4582,663,861722214,422672006,1667390,655,36599,7045,116,105308998,109,1118606,21,53983679,2,1,10,230,71,403794,35,23868936,677792933,2711,532,84,2,163137,780645231,41,755633611,78,321244168,263,33382,690644,78,269322,2,400,65745,79,112,1981,261778474,64,312519,11889,512,26,93094}

"BWWWWWWWBWBBWBBWWBWWWWBWBBWWWBBBBBWBBBBWWWBWBWBBBBBBWBBWBWWBBBWBBBBWWBBBBBWBWWBWBWWWBBBWBWBWBBBWBWBB"

{35,43,69,12,30,70,15,89,97,38,92,18,95,87,45,95,20,62,11,15,61,59,26,84,9,65,9,23,19,92,70,19,46,85,29,19,41,6,52,47,47,59,94,30,76,14,90,11,41,51,74,47,18,78,3,98,79,65,32,44,50,57,52,82,33,45,69,21,39,91,62,11,61,1,27,45,25,84,59,8,21,71,77,93,34,29,20,92,18,50,87,23,19,68,42,96,68,67,1,86,87,60,32,35,85,12,73,25,23,86,88,67,74,57,99,79,43,57,84,43,72,5,94,95,65,26,54,28,10,22,4,72,79,84,99,52,26,99,17,84,80,41,65,20,58,46,18,40,10,80,38,92,69,28,77,26,75,22,73,64,0,81,12,19,46,66,78,31,18,60,8,52,36,77,84,21,24,14,26,54,38,13,9,99,10,98,63,42,10,75,79,35,79,24,8,93,85,57,7,28,97,81,34,25,27,22,75,7,89,11,68,26,50,8,67,40,87,95,94,72,39,40,83,45,92,36,46,98,75,53,11,17,63,62,12,19,21,20,83,55,1,35,72,61,73,62,35,63,40,66,52,9,93,99,70,57,0,16,36,89,83,3,12,58,54,39,2,95,20,18,7,11,12,12,61,23,26,47,74,59,87,94,25,7,54,19,66,99,4,13,89,8,75,19,84,40,1,85,8,46,53,54,28,29,3,46,62,83,7,64,85,44,8,77,51,89,96,55,10,84,98,26,12,87,42,97,67,79,19,95,99,22,6,50,92,79,10,74,23,96,51,45,91,22,6,90,74,57,45,87,26,42,83,71,95,91,21,88,97,38,51,97,10,91,47,43,69,59,69,10,37,27,7,38,74,92,95,95,98,81,39,84,6,33,13,47,58,83,87,23,32,39,9,69,54,68,62,68,94,6,38,64,38,83,64,12,73,83,88,73,15,58,73,4,82,76,83,8,99,88,16,68,32,69,15,53,54,71,52,43,70,18,59,21,18,74,92,8,81,71,99,60,63,35,60,38,24,8,67,25,59,25,75,92,91,74,49,53,1,3,7,11,47,8,65,72,5,83,42,60,63,20,74,68,85,75,7,92,84,77,43,8,19,35,21,67,28,74,47,59,78,87,21,36,39,42,76,83,55,42}

{32,9,61,21,86,89,65,54,61,93,26,0,43,51,73,17,38,45,14,59,32,23,19,63,85,39,87,9,50,39,17,71,28,7,53,18,64,77,17,1,69,32,72,37,0,36,61,32,40,78,97,58,11,10,41,46,96,12,36,6,42,11,73,49,93,20,94,72,94,57,77,53,44,76,30,71,21,87,20,0,83,90,70,41,34,0,2,49,14,94,28,9,43,0,8,59,33,75,90,1,98,53,2,98,33,0,69,27,69,43,10,63,4,24,88,49,78,23,52,24,10,79,84,7,34,21,18,63,0,22,26,2,51,46,83,78,94,69,71,50,83,72,12,44,59,97,94,13,65,21,7,51,33,15,5,19,93,29,8,4,4,33,78,60,19,26,14,12,4,31,97,62,97,89,94,29,45,12,72,46,11,85,44,26,85,90,57,17,93,76,7,83,41,20,42,17,98,68,38,29,9,36,26,53,74,46,83,40,39,89,93,88,29,4,30,89,83,5,54,15,34,11,27,12,19,22,68,63,29,94,61,30,92,54,20,10,93,21,84,12,46,87,81,91,43,94,52,20,95,53,89,91,44,43,42,75,92,72,49,93,15,70,28,67,6,76,96,77,54,34,21,68,13,50,92,3,47,34,63,63,58,23,57,99,10,89,2,44,30,8,79,1,79,21,49,96,44,44,96,70,94,72,77,17,47,29,40,32,89,58,24,34,37,68,0,97,19,12,56,64,91,28,50,18,24,35,87,57,57,75,97,54,58,64,81,78,75,54,3,1,7,18,94,68,3,71,81,4,2,99,66,92,60,78,2,79,65,65,3,89,98,89,27,67,51,57,32,92,57,53,80,10,71,89,37,89,19,87,30,73,60,49,70,41,4,15,82,28,48,96,8,41,63,37,68,79,95,79,83,3,81,43,95,92,14,61,49,14,69,48,68,18,40,46,59,74,35,20,93,52,54,38,61,47,25,67,51,43,39,5,51,2,71,24,59,76,40,29,1,6,68,23,41,48,18,15,86,18,18,95,48,96,37,17,48,50,32,54,81,73,40,88,67,13,89,20,52,11,3,54,79,72,87,71,63,72,43,93,43,25,19,94,15,74,8,44,84,38,84,51,64,94,85,74,68,49,66,79,91,67}

{324803802,7576,5808706,31596749,36536960,713665054,18079276,431063378,846099,262722325,298118597,24498664,314146,919061007,10606909,150993,5485168,91851455,235403426,18529498,275021763,7036841,585029274,877247,400033,152880244,6736575,7036231,877184611,153328725,713430716,1401254620,2277709,168094902,1669873,858600151,126,752949620,422510782,2170667,6637127,274316536,293316961,854460,114675,154291212,845749,274016903,95824,925796943,1248,105326156,24248425,11115,748551,2277248,755621730,361723939,192764581,107345124,5469865,299855,422671239,48241864,268207059,10607487,286659967,392881209,140003353,33476204,775136472,1367630,78873980,2349999,224313,671143165,392876607,7389039,151,457947688,392850479,677792972,1446680352,268207389,31,51689,30,48240614,212115360,287351846,6737267,7036249,883140090,482080734,457405869,11860,482129874,506,2187989,34353200,6736866,1277131,274316685,51612840,401066,361237659,6654897,213132,382651,36532769,13355,225426,377662719,511536838,98428,803866881,7094,7036917,422019920,511534759,7256,993567197,293966071,168182559,6330067,690346521,454627615,225426,39680,70,592464001,2734,170164637,2929476,69128,422672952,4804871,6738026,677631897,6614201,33433,2793,361723906,79719687,105308870,2278097,316901627,33898,460259,392883876,163010401,925796348,6654742,18529566,968555663,585029231,268207063,7446148,457898941,377663616,377614068,322226578,361285958,881302140,880870707,298119109,235703894,361625523,353115407,742242,457898904,417163320,88238007,780621812,293966089,392881075,518186614,125584013,298119917,428763645,5784967,458399,79718939,298200870,410576,445,225426,653625,268197534,163855,778376607,51579777,755633613,511536797,457405851,267865387,400287,482130278,163010409,2905,1151,238849680,303996918,1660282,221078,5171340,33753,168399707,153334146,276707,736672322,298115043,5960847,752245253,4172,59714,6770587,1748887768,137726995,18526881,159190684,216978,187006,354623868,883146488,88856225,479852652,225096,2489,294981665,1145516,338071,226883,436548766,361287219,883138383,136879879,392883898,695839,361250612,89848,44876023,322224340,32630569,7779,298822744,473299347,225475,229207,1667434,422648636,33475517,334999250,94246,713212215,498,47844,1779962,129644862,268099641,18496215,713024216,361287242,105308899,458735666,153473023,11917,780333011,431041247,18668516,414972417,481830469,361215904,367236020,847059,6288401,298101851,5897006,224653,225504,112046151,286290293,7304,168393103,431050173,883040487,47,79733431,377659587,457956179,755610488,455710659,755634051,1115691161,48885107,83995,77531821,79319012,457910351,711495177,294981656,431042976,780645176,339253,731292,2275257,102363044,274283249,168387800,105308996,511136209,85529444,457053928,1261967695,925748651,107252,883136433,361250597,9704,729152,33475807,298119073,367236001,30324654,511044200,51612634,6737258,755633671,883148336,312684,101909,423595599,77613515,5963675,322225235,755634780,10329,431040368,6288420,2199806,820389246,16937624,259838073,474681381,28443824,677792938,322226071,377663613,10607444,6820963,298119059,558816,1812870,677794032,313066,789109819,392679687,446942,748841,5508314,925797731,107277,210364,33476284,925780926,8271,280830425,1702,6654394,1657541,858444,210335,700535886,5508287,857577,106020,882835298,7049220,3709,322226453,153701295,48885077,693730832,470,377533971,18512306,105309052,33434,6403148,7035918,732074540,153330561,224778,5809837,51089159,1236956336,102145836,1236956306,293347554,28443844,325746367,8204,5797201,31899,235703243,362119245,48241897,235669831,6650903,334645,463600753,81721528,95373,375385987,512,163292,51579787,457898474,268104918,422675203,432822901,476645172,275021792,6637087,18522291,1667415,1228686430,677795041,575982671,1749192564,1463681606,24548238,677792937,903766179,24548110,163362,94064,457896058,322449043,650097524,482027795,7414337,225474,51279102,23197093,13044439,475534450,481485851,24548152,305762,334200,4747,858128,340302,33142112,5962845,322409428,432707602,322449057,748940,168399707,303229,17308,457956169,473509,2790,1326529069,266534,255847,431430596,755859028,2788,6736428,1159115601,175305,3118,168487305,268205605,720976,780637938,883140083,164584289,864618761,51612315,850127828,79719645,729272,5484339,711993,925798080,1226,286577038,392630038,88237741,328799824,47740731,164181,755600314,33512842,560571}

Returns: {162, 49405, 2187885, 1, 1, 3, 748462, 136, 41658304, 336005050, 958706420, 790493898, 38220, 27733658, 95619156, 72876286, 457898439, 38, 873, 139, 7, 9904, 1, 299814, 6794, 361280402, 35942, 93709, 273, 235702968, 18366995, 162529, 16, 1782584, 90540, 251563, 480399, 24067769, 803304984, 79843276, 31, 3, 327264, 392556636, 7446745, 2140, 7030323, 6441, 511536752, 79, 122, 7233, 298118104, 956, 10, 220228, 153, 111, 2652, 221, 4055, 14, 733360, 381681, 70238, 274246355, 14, 385, 14, 5879674, 51120351, 492778, 3413509, 84825070, 851454, 6981, 5485093, 2, 153320715, 9787, 6476, 89352, 78, 28, 526616, 34015, 5198, 3072, 79684647, 34966, 1978809, 8628635, 2277634, 33, 17269, 38, 334091, 2, 48237825, 4582, 5963024, 663, 64075970, 861722169, 1, 422671701, 19, 1667376, 431040696, 545, 1, 36599, 6654, 6873, 158, 116, 27, 105308875, 4, 109, 727954, 1118321, 845658, 21, 48475173, 53983645, 225377, 2, 66, 1, 450249, 10, 40, 11, 8, 58, 481726479, 403787, 6654309, 34, 689904066, 23868747, 85, 677792932, 34, 2703, 9, 532, 856, 46, 392, 1, 1013, 163107, 101, 780645045, 1202, 41, 8, 755633570, 36, 77, 982892, 321244050, 355, 263, 71, 33381, 38714, 690505, 400603, 78, 36271671, 269296, 6737208, 2, 3753, 372, 42314, 65510, 1, 78, 33476157, 47, 197, 1618, 6428902, 261778471, 293314211, 36, 516, 312516, 23, 11880, 193, 503, 393, 26, 9385, 93086 }
{555504,1,72884019,1,561174670,615289943,82361275,1,7211366,289}

{555505,94,72884139,1,561174770,615290107,82361284,91,7211378,428}

{1,280865354,118,42,40608,1,224,707916147,54860898,762947392}

{25,280865366,145,56,40708,86,239,707916162,54861051,762947396}

"BWWBWWWWBB"

{6,7,1,4,0,7,6,5,6,8,1,8,6,2,5,8,6,4,0,2,5,8,2,0,0,3,9,1,3,6,3,0,6,9,0,3,3,4,5,1,0,2,2,6,9,0,4,3,2,0,7,5,1,6,2,0,8,2,9,4,7,1,6,8,3,8,7,3,8,7,9,1,9,1,5,1,2,9,1,5,2,9,3,0,5,5,9,2,7,3,6,3,5,2,1,3,2,6,3,8,5,8,1,7,4,7,4,1,9,4,4,8,0,8,4,7,1,7,1,8,4,0,0,9,6,6,5,9,3,3,0,8,6,2,1,2,6,8,5,2,9,4,9,8,3,2,9,6,3,1,3,3,0,6,5,1,9,5,8,8,2,8,9,7,3,2,1,0,5,9,4,2,9,7,3,0,7,5,3,3,9,8,6,3,1,7,5,1,2,6,6,2,8,6,2,7,4,6,0,6,7,5,9,6,0,1,5,2,2,6,3,1,4,9,7,6,0,3,4,9,3,3,9,9,7,1,6,6,8,7,1,0,8,5,4,5,3,5,9,8,2,2,6,1,9,8,5,2,1,0,8,7,0,9,4,6,0,8,4,7,5,9,2,3,2,3,5,0,9,7,7,6,9,8,2,0,9,8,4,0,2,3,5,4,2,5,7,5,4,5,3,1,6,0,3,7,6,1,5,6,3,1,4,0,4,6,2,3,7,3,2,0,9,3,4,9,8,1,0,4,8,5,5,7,1,2,4,6,9,7,8,8,4,0,6,2,3,7,3,1,8,8,6,1,2,6,3,7,4,1,4,5,8,1,5,1,6,1,9,3,3,1}

{5,5,5,5,4,3,8,1,0,7,2,4,0,9,1,8,0,2,2,4,3,2,2,0,5,8,7,7,7,9,5,8,7,8,1,9,3,6,5,4,9,4,1,2,3,4,9,8,6,8,1,6,9,6,3,7,8,9,1,3,3,8,9,5,2,1,6,9,3,8,8,0,3,0,3,2,1,0,5,2,2,9,3,2,7,6,0,3,4,4,0,5,3,2,1,3,5,9,7,3,6,3,7,0,9,9,3,4,6,0,3,2,5,9,3,4,6,3,2,7,7,6,6,0,4,0,1,7,6,7,6,9,6,0,6,3,9,8,2,7,4,2,2,8,0,3,0,7,3,8,8,5,5,7,1,6,0,8,4,3,6,5,8,3,5,4,7,9,0,3,9,4,1,0,6,9,5,3,9,9,8,5,8,3,4,4,1,7,5,1,8,7,5,7,6,9,3,5,8,1,5,9,7,9,5,8,2,8,3,4,4,0,1,4,0,7,8,6,5,4,9,9,9,0,9,9,4,5,4,3,2,4,6,7,6,4,3,2,4,5,0,2,9,5,3,7,7,0,3,0,9,2,4,5,2,2,8,1,3,9,8,6,6,9,0,6,5,6,9,1,7,9,8,3,2,9,4,8,6,5,7,7,6,1,7,4,0,5,9,8,4,5,7,1,0,8,2,7,3,8,7,6,4,7,3,5,4,2,9,4,5,9,0,8,3,2,1,1,0,8,4,5,7,9,3,3,4,8,0,2,6,8,7,3,1,5,5,2,8,0,8,6,6,6,0,4,7,7,9,7,9,9,8,5,9,0,0,4,8,4,3,7}

{532929749,1323206644,896155570,54156244,560659956,707916518,130010818,896155699,81806503,660267355,353749290,608783645,81806455,835831226,896155706,567,81806520,488331144,72329011,488332001,615290745,120534036,576,376,614735419,62072812,55031825,427051678,707916368,845308294,615290398,61517328,790278045,715298469,281421101,762947738,848,478854628,544,841999587,763503389,488331635,353749273,9477916,762948089,560660305,1324082015,62072754,9478056,61517046,427051487,532929256,482082679,917,72885000,708472014,380,835831560,482082605,561215464,707916752,233216517,845308842,662939713,72884301,233215821,790277817,762948465,62072295,660267185,715297686,281421476,762948583,281421075,615290855,353749480,353749464,763503465,896155966,542406755,371,384,105,72329108,1323206330,532929430,763503383,72884754,1269050369,561216165,81806769,615290460,615290605,688,330,488,542406589,845308841,707916942,62072923,532928866,62072721,427051172,708472524,1324081469,55031868,561216014,842000086,845308991,560660699,561216091,120533455,614735163,715298191,561215480,1269050445,363226478,707916554,353749336,660266997,1269050263,81806641,81806735,763502958,478854124,81806195,896155387,55031736,82362216,707916815,81806428,715298334,259,72328885,363226706,72884627,845308979,492,542406684,780800659,1324081336,488331536,835831626,326,555823,72884576,763502994,790277816,684,233215814,62072520,615290158,614735053,790277659,896155845,363226914,763503304,662939704,608783717,62072680,9477516,662939722,715297813,707916220,615290116,488331211,427051173,763503123,614734937,762948199,1324081711,488331395,482082633,708471800,82361608,763502837,1323206059,615290851,762948415,762948216,715297912,662940093,130011286,178,841999501,1269050590,896155404,427051303,542406772,363226886,130011179,780800606,662940188,790277869,9477747,55032283,561215762,532929304,61517631,363226626,1323206780,1378237913,55031727,845308332,614735055,233216310,542406789,120533646,72884311,478854341,561215491,281421739,841999747,1324081808,708471914,790277966,61517320,82361695,54156032,1324081423,762947964,762948045,712,763503193,55032062,482082844,478854035,532929676,608783628,707916326,353749859,560660004,130011220,1323206125,478853800,54155902,907,542406721,1324081298,662939942,72328665,595,845308594,896155378,762948220,660267048,1323206424,72329228,280865972,464,715298173,780800135,560660506,1378237709,488331707,9478092,61517068,233216179,561215709,55032469,662939503,845308537,9477586,762947949,72329171,82362290,137,81806624,297,427051237,213,845308733,715297722,62073152,718,763503252,1324081654,439,478854548,614735251,780800438,707916506,532929269,841999638,780800424,54156207,708472401,271,1324081545,662939775,561215729,896155440,790277361,281421423,555626,660266742,9478241,427051176,615290035,130011087,707916348,363226947,187,708472333,561215358,532929412,488331753,72884860,55031708,561215565,542406734,763502804,763503246,62072739,561215606,835831510,233216237,427,36,608783646,608783745,80,1323206319,55031786,280866171,72884984,178,130010607,763502652,780800682,130010618,920,1269051000,555921,363227025,542406046,615290765,780800525,62072868,281421527,708,130011414,533,363227035,72328655,478853857,707916757,306,1324082003,427051714,1324081332,1378237722,652,896155975,1378237780,281420983,81806259,841999680,715297910,561215518,924,427051381}

Returns: {555504, 17, 61, 280865363, 72884027, 137, 1, 56, 561174670, 40638, 615289944, 86, 82361278, 236, 54, 707916154, 7211367, 54860930, 359, 762947394 }
{67,1}

{307,1}

{14949,4895716}

{14986,4895848}

"BW"

{1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0}

{0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0}

{4880843,0,4880843,0,4880843,4880843,0,4880843,0,4880843,0,0,4880843,0,4880843,0,4880843,4880843,0,0,0,0,4880843,0,0,4880843,4880843,4880843,0,4880843,4880843,0,4880843,0,4880843,4880843,4880843,0,4880843,4880843,0,0,4880843,4880843,4880843,4880843,4880843,0,0,0,0,0,0,0,0,0,0,4880843,4880843,4880843,4880843,0,0,4880843,0,0,4880843,4880843,0,0,4880843,0,0,0,0,0,0,0,4880843,4880843,4880843,4880843,4880843,4880843,4880843,4880843,0,0,4880843,4880843,4880843,0,0,0,4880843,0,4880843,4880843,0,4880843,4880843,0,0,0,0,4880843,0,4880843,4880843,4880843,4880843,4880843,4880843,0,4880843,0,0,4880843,4880843,4880843,4880843,0,4880843,4880843,4880843,4880843,4880843,0,4880843,4880843,4880843,0,0,0,0,0,0,0,4880843,0,0,4880843,0,4880843,4880843,4880843,4880843,0,0,4880843,4880843,4880843,0,0,0,0,4880843,0,0,4880843,4880843,0,4880843,4880843,4880843,4880843,4880843,4880843,0,4880843,0,0,4880843,0,0,4880843,0,4880843,0,4880843,0,4880843,0,4880843,0,0,0,4880843,0,0,0,4880843,4880843,0,0,0,4880843,4880843,0,0,4880843,4880843,4880843,4880843,4880843,0,0,0,4880843,4880843,0,0,0,4880843,0}

Returns: {113, 14986, 1, 4895717 }
{4086001}

{4086086}

{6}

{14}

"B"

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{1,1,1,1,1,2,0,2,2,0,0,1,2,1,2,2,1,2,1,2,0,2,2,1,1,1,1,0,2,2,0,0,2,2,1,0,0,2,0,2,2,2,0,2,0,1}

Returns: {4086045, 10 }
{89953,1,81803,9020611,26,2427775,7261197,455266358,249,67,36201377,1,173,5090786,247757906,60,2086025,1,424,4347587,325108,229,74,265,25402686,5138006,15219,3560,1,236,9381953,8447,607241,692938555,46150,1,1,38813462,8415,1,2,28096267,465,479623363,703,485,298,8176,377153,1,23,2,93278,1,78197,1,1556,1,2627,62714272,11621466,688110503,527929248,67192608,182,567123323,3832,1,633067,381108359,63641,33445,7307,59,6208,89865,1,5354,15}

{89955,2,81884,9020636,34,2428110,7261244,455266390,339,92,36201381,8,268,5091208,247757935,75,2086221,17,451,4347614,325122,590,237,265,25402690,5138042,15368,3784,8,238,9381973,8447,607252,692938558,46171,7,1,38813488,8422,1,3,28096271,584,479623467,860,598,326,8273,377170,91,146,281,93323,2,78356,311,1628,1,2627,62714370,11621543,688110928,527929280,67192646,215,567123330,3845,1,633068,381108370,63645,33487,7310,70,6323,89880,66,5482,20}

{11502871,35,4473203,3140,2854464,75,1,360522,73,979658913,508985807,1,944801772,70,95590392,1,715,6100221,1,1,78165,1,586,5613,1215,1,72777702,4482404,72924,1,4028989,63345,1,616981,7,8279,642,6146989,448567024,64355,542,151,461,1,5350347,720394733,1,116947369,880,216955411,4201,85,1,40465,287,4,76753794,46,98688682,1,8886,3478416,628631791,429850,249,1,8706834,120836383,599752,1,898,3,295,206719904,46145202,961050,1,1,84342}

{11502937,205,4473236,3241,2854524,75,2,360559,86,979658933,508985810,113,944801785,412,95590557,1,869,6100252,6,126,78419,79,611,5649,1249,325,72777763,4482584,72979,36,4029029,63379,42,617007,398,8322,758,6146990,448567217,64359,737,155,543,110,5350372,720394742,12,116947397,888,216955513,4221,104,5,40507,316,224,76753796,56,98688780,315,9309,3478418,628632218,430098,690,31,8706873,120836421,599760,72,921,7,299,206719917,46145204,961208,1,11,84344}

"WWBBWWBBWWBWWBWWBWWWBBBWWWWWWWWWWWBBBWWBBBWBWBWWWBWBWWBWWBBBWWWWBBBBBWWBWBBBWBW"

{54,7,38,67,64,10,67,45,19,75,58,53,9,67,36,58,57,59,69,55,16,62,66,17,30,22,17,58,44,4,33}

{25,2,67,42,48,30,19,35,50,34,49,0,67,74,34,63,8,33,57,12,11,65,41,56,37,19,54,11,67,5,0}

{5060220,459297272,327739453,120836656,377465,531776243,125184089,720387112,4351797,1005012,118269581,11552563,858822620,74697438,46971,165448848,401,630841442,381108552,944802212,2086997,667826105,36799276,70655405,31549736,4348249,6178527,98691462,115486975,5282679,703734655}

Returns: {89954, 11502904, 2, 120, 81853, 4473220, 9020636, 3191, 32, 2854494, 2428109, 75, 7261221, 2, 455266372, 360541, 295, 79, 81, 979658923, 36201378, 508985807, 7, 57, 222, 944801778, 5091036, 241, 247757911, 95590475, 75, 1, 2086143, 792, 2, 6100236, 438, 4, 4347606, 64, 325109, 78292, 425, 40, 162, 599, 265, 5649, 25402690, 1232, 5138025, 163, 15311, 72777733, 3694, 4482494, 7, 72951, 237, 19, 9381953, 4029009, 8447, 63379, 607250, 22, 692938558, 616994, 46156, 203, 4, 8301, 1, 758, 38813475, 6146989, 8420, 448567120, 1, 64358, 2, 639, 28096270, 153, 542, 502, 479623413, 56, 791, 5350359, 544, 720394737, 315, 7, 8231, 116947383, 377154, 880, 41, 216955462, 93, 4211, 145, 94, 93301, 3, 2, 40486, 78283, 302, 200, 114, 1593, 76753795, 1, 56, 2627, 98688682, 62714331, 158, 11621486, 9098, 688110717, 3478417, 527929259, 628632005, 67192618, 429974, 193, 470, 567123323, 30, 3838, 8706853, 1, 120836384, 633067, 599756, 381108361, 37, 63642, 910, 33468, 5, 7309, 297, 64, 206719911, 6259, 46145204, 89868, 961129, 65, 1, 5419, 6, 19, 84343 }
{76363,78796700,1,45645258,29359,30836,578517,708467898,132608,95,9535,3438,8395,777,5178931,464742458,145878575,1,61414,3}

{76399,78796839,18,45645277,29376,30849,578544,708467914,132953,126,9557,3746,8404,789,5178952,464742512,145878604,15,61454,6}

{1,520,53,543,206808,9308891,844156034,6642580,134879460,321621512,1,2634731,1,1,1,1,6524349,705930556,54392635,21866}

{72,712,370,569,206830,9308917,844156036,6642936,134879687,321621754,1,2634777,2,65,49,9,6524369,705930558,54392672,21871}

"BWWBWBBWWBWWBWWBWWWW"

{}

{}

{}

Returns: {76364, 37, 78796744, 616, 6, 212, 45645265, 556, 29365, 206819, 30837, 9308904, 578530, 844156035, 708467900, 6642758, 132839, 134879573, 122, 321621633, 9557, 1, 3600, 2634754, 8400, 1, 781, 33, 5178933, 25, 464742486, 5, 145878593, 6524359, 9, 705930557, 61435, 54392653, 4, 21868 }
{578740744,62538882,67586853,72283194}

{578740762,62538892,67587009,72283196}

{856,6649,6,7609778}

{951,6720,46,7609881}

"BBBW"

{3,0,2,2,1,0,1}

{2,3,3,2,1,2,0}

{12306031,514066566,12306753,61,476,511154847,516207657}

Returns: {578740749, 910, 62538887, 6684, 67586995, 44, 72283195, 7609827 }
{506645075,345435062,1,17075084,29631,3611,706741959,31,651368376,821378}

{506645078,345435085,110,17075366,29962,3616,706741988,49,651368650,821654}

{8787567,44311,1366,82818,725948705,726,28,34525,19133518,768}

{8787585,44391,1680,82879,725948735,735,33,34528,19133584,770}

"BBWWBWBWBW"

{0,3,9,3,5,1,8,6,4,3,9,6,6,4,3,2,2,5,4,0,9,7,6,6,6,6,0,6,0,5,4,0,8,6,9,9,0,3,7,8,8,2,4,5,3,5,1,5,3,8,6,7,8,4,9,1,6,5,2,8,7,8,9,2,6,4,7,2,3,2,6,5,5,4,9,5,3,6,0,4,3,5,9,3,3,1,3,4,4,6,0,8,0,0,9,7,9,5,8,9,3,2,5,3,2,3,6,6,4,3,0,0,9,0,8,6,0,0,9,5,7,7,3,2,2,3,5,9,8,9,3,2,3,2,9,9,6,0,7,2,6,2,8,4,1,9,3,4,3,5,9,4,6,1,9,1,7,5,4,3,9,5,8,4,7,0,4,8,1,4,5,0,6,9,4,1,2,3,7,1,0,0,7,5,1,0,0,4,6,8,1,3,3,2,6,2,5,0,8,6,5,9,4,8,5,3,8,3,0,3,2,2,5,4,7,7,3,8,6,2,2,1,2,6,5,7,6,4,3,6,3,9,6,4,9,4,9,6,6,2,8,4,8,2,4,0,7,4,2,5,2,8,2,2,1,1,1,1,8,1,7,4,7,4,5,2,4,2,1,7,0,7,3,2,3,7,1,4,5,4,6,0,6,1,0,2,4,6,7,6,1,0,6,8,5,6,0,9,4,0,5,0,1,2,7,9,3,5,9,1,7}

{5,8,7,9,6,7,4,5,5,4,4,8,5,7,7,5,0,4,6,9,6,7,6,9,1,3,7,0,0,5,6,1,8,4,9,1,8,9,9,2,4,6,5,7,9,6,2,5,5,9,2,6,0,6,3,1,3,1,8,8,7,1,3,5,7,6,3,3,3,7,3,8,8,0,4,3,4,0,4,4,5,3,4,2,6,2,2,5,4,0,1,4,7,8,9,3,1,7,5,1,0,1,4,2,8,5,2,3,7,0,6,9,9,8,7,7,0,6,1,5,2,9,5,3,9,7,1,1,3,2,7,1,0,8,8,2,3,7,9,4,6,2,8,8,3,0,1,3,4,6,5,9,6,5,8,9,9,9,9,0,5,3,3,6,6,1,5,5,8,9,7,1,3,2,4,0,2,0,0,9,7,0,4,9,9,3,1,9,5,4,7,1,2,1,7,4,9,2,4,8,3,0,9,5,8,5,0,8,3,7,7,3,9,5,0,2,3,7,7,0,3,2,4,1,9,2,0,2,6,7,4,0,8,2,3,2,0,7,5,9,2,3,8,6,1,1,0,8,5,9,8,9,0,2,4,0,2,9,4,7,7,4,3,4,0,6,7,9,4,7,7,4,3,0,4,2,7,7,2,5,0,8,3,9,0,2,9,9,9,4,5,8,6,8,2,2,4,5,2,0,1,5,3,4,0,8,3,6,5,0,3}

{515428328,653343855,855318,16335823,706739045,345444826,1358153602,706739054,725974341,742911291,726739575,74507076,706739054,725944129,17123644,4583,515430980,725974335,1432660690,514610301,705921109,15,7,705921119,361351178,689749384,515398106,208884450,5,4,1432660675,169953294,4,1432660683,13,344657016,155069380,16335822,855316,670500351,1358153609,706743607,725974331,37386,16335838,706739051,345477699,4,17153855,669679658,706743620,706776422,155069370,1432660692,16335830,6,689749398,345475042,670500344,8,4,325022657,16335821,4574,706776435,1432660685,17123640,17156514,4,32879,689749384,670497694,670497686,1223776242,726739583,17153862,742911305,208884443,1223776260,10,17153856,17153854,726739586,17156509,689749399,345477708,17156508,725974341,17,208884432,169953289,1358153615,515398108,155069375,11,17123644,344657026,37388,670497687,344657011,498274478,345477703,725974341,17156505,670500347,17153848,706743618,689749390,725944112,498274480,208884446,514610298,1,155069381,670467466,706776437,15,208884434,344657011,8,32896,855323,17153857,17156508,822516,17123635,345475043,344657012,653343855,822518,17123640,345477702,498274478,670500356,669679666,822516,689749396,515398099,855333,725976998,2,8,13,1358153600,328398218,514610306,328398214,742911301,742911305,706739047,818033,726739573,18,345475038,669679669,344657015,855321,818041,726739578,498274485,818025,17153844,653343849,1432660691,706776422,169953294,725974332,670497689,325022654,726739577,37385,169953292,689749389,822515,3,169953295,2,498274488,515398106,344657024,515398103,3,725944120,818028,344657027,498274489,169953295,726739571,706739059,1358153603,345444820,328398212,17156522,345477707,706776437,725977000,818025,515430986,1358153618,74507087,17153859,514610296,726739583,670497685,670497698,17153847,155069366,653343841,498274477,17123627,32894,17156510,818033,725974340,515398101,32894,17,670467481,706776427,515430983,17156504,345477706,725977006,361351188,818034,32896,208884440,725976990,689749385,706776433,742911306,514610291,74507081,725976999,16335829,725976993,514610302,706776424,706739057,822513,670500350,742911306,7,706743613,1071309514,169953296,515398112,1358153613,4572,818024,670500344,669679660,515430985,0,1071309499,169953281,345477713,344657021,1358153610,345444818,16,15,17123631,9,515428323,706743624,725944120,822505,1071309514,14,515398111,725944122,3,515430985,742911301,32896,345444826,725944115,4571,725974331,208884442,155069384,689749396,344657029,5,9,726739570,705921112,855321,1432660685,345475048,155069383,11,9,4569,706743610,1223776259,818042,725977004,11,345475036,515428327,328398207,725977005,515398115,669679671,17,706739045,818039,169953287,17123633}

Returns: {506645075, 8787576, 345435063, 44312, 74, 1680, 17075362, 82818, 29962, 725948705, 3616, 734, 706741960, 33, 49, 34525, 651368376, 19133519, 821596, 770 }
{89,1,4140,58,36048102,647380,2342187,97344009,51,1,33473579,311722,963676,59,31,644,909566,620224389,803691,11958285,8961580,28238,5757,1,9027282,46473669,5582601,531762,5283,662786901,175,30135,3624,583,4429,3429746,8253890,387,74317091,26551938,63,913,18513,1481007,611,2756096,96578219,1,1,611861407,1,63,3,3,50636,825764,95425,80,62,5137832,7896263,56675723,769623,5,1,570,643588833,64764785,71828646,3852746,464702,515666,1,799715883,1,9677188,1,1,1,36,617327425,88042363,351,833604,1,6048909,7066,1897707,2,96,666687719,1}

{94,1,4383,80,36048120,647387,2342520,97344284,55,1,33473608,311724,963850,63,85,657,909567,620224394,803711,11958681,8961829,28251,5953,103,9027282,46473885,5582606,531826,5418,662786902,177,30136,3866,615,4434,3429847,8254035,462,74317130,26551941,93,947,18531,1481426,652,2756124,96578232,42,3,611861412,2,108,10,5,50667,825767,95428,81,96,5137946,7896269,56675727,769640,5,72,575,643588834,64764803,71828681,3852918,464710,515687,3,799715903,116,9677339,98,24,99,49,617327631,88042365,357,833608,1,6048912,7096,1897874,55,96,666687726,63}

{849,94,143859537,3539,1,55326,58661,74403062,1,36221494,4385,1,901,787,3934,1,9263,602,990,1,79,6925016,576961056,922042,204930183,7446872,1,165,1,291011051,1,16408471,881741,19642,522701415,1292,6942599,89961745,7835,1,428801,388579,239358,1,1,4169,2178264,79917540,478214,600084259,35215,201,1,1,60921338,16737514,790097891,99224,1,531,318771,20,57293248,1500,733842,1,1,18927,1,1,1,93552249,6739088,90556276,8673532,571,185348706,10171,4599,945996,413389753,1,45157953,2,1,12871782,272,13804,101249,21719197,80000,65984761}

{855,116,143859566,3636,26,55377,58934,74403072,2,36221701,4395,12,927,825,4056,36,9270,638,1010,18,87,6925021,576961355,922160,204930206,7447031,1,298,38,291011172,59,16408477,881749,19715,522701485,1315,6942725,89961782,7925,396,428888,388645,239537,111,126,4181,2178282,79917547,478235,600084434,35618,215,23,52,60921341,16737520,790097996,99406,10,534,318774,87,57293337,1964,733987,4,20,18933,163,12,240,93552252,6739576,90556277,8673539,572,185348710,10323,4601,946048,413389756,2,45158006,195,34,12871923,316,14092,101263,21719228,80234,65984865}

"WBWWWWWWBWWWWWWBWWBBBWBWWBBWWWWWBWWWBBWBWBBWBWWBBBBWWWWWBBWWWBBBBBWBBBBWWWBBWBWBWWWWWWWWWBBW"

{29}

{39}

{927246015}

Returns: {92, 852, 1, 116, 4271, 143859551, 76, 3588, 36048108, 14, 647384, 55352, 2342383, 58797, 97344149, 74403067, 53, 2, 1, 36221701, 33473594, 4390, 311723, 7, 963768, 914, 60, 806, 37, 3995, 648, 19, 909566, 9266, 620224392, 620, 803701, 1000, 11958485, 10, 8961704, 83, 28246, 6925018, 5804, 576961205, 45, 922101, 9027282, 204930206, 46473805, 7446952, 5582606, 1, 531764, 232, 5362, 20, 662786902, 291011112, 176, 30, 30136, 16408474, 3748, 881745, 587, 19679, 4430, 522701450, 3429804, 1304, 8253971, 6942662, 443, 89961764, 74317096, 7880, 26551940, 199, 76, 428844, 915, 388612, 18514, 239447, 1481260, 56, 632, 63, 2756115, 4175, 96578223, 2178273, 24, 79917543, 1, 478224, 611861409, 600084346, 1, 35416, 86, 208, 6, 12, 4, 26, 50653, 60921339, 825765, 16737517, 95426, 790097943, 80, 99315, 82, 6, 5137890, 532, 7896267, 318773, 56675726, 53, 769630, 57293293, 5, 1964, 2, 733915, 573, 2, 643588833, 11, 64764795, 18930, 71828671, 82, 3852835, 6, 464703, 120, 515677, 93552251, 2, 6739332, 799715893, 90556277, 61, 8673536, 9677264, 571, 52, 185348708, 8, 10247, 50, 4600, 49, 946022, 617327529, 413389755, 88042364, 2, 355, 45157979, 833608, 98, 1, 33, 6048910, 12871852, 7074, 294, 1897730, 13948, 34, 101256, 96, 21719227, 666687722, 80117, 11, 65984813 }
{76001763,1,48,6326498,43,8147463,693276266,4,47109,1,236518894,220655182,675,14715942,4216062,475310662,1,3354547}

{76001766,2,53,6326531,100,8147465,693276355,5,47137,327,236518927,220655196,731,14716153,4216085,475310672,3,3354559}

{1,78289366,483122,900496,62515086,9497880,57751,1,6371268,2118478,1,1,105619370,1232458,24753,1,664,7845363}

{5,78289539,483161,900500,62515215,9497887,57856,126,6371344,2118506,4,256,105619989,1232470,24755,89,679,7845983}

"BWBWBWWBWBWBWWWWBB"

{17}

{3}

{9917185}

Returns: {76001764, 3, 2, 78289452, 52, 483141, 6326498, 900500, 50, 62515151, 8147464, 9497884, 693276303, 57803, 5, 64, 47118, 6371306, 173, 2118492, 236518911, 3, 220655183, 128, 704, 105619680, 14716050, 1232464, 4216074, 24754, 475310669, 45, 2, 671, 3354556, 7845673 }
{79564008}

{79564019}

{831592992}

{831593031}

"W"

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: {79564016, 831593012 }
{147,329,1400346,56439945}

{148,329,1400421,56439948}

{8196412,58284,9,1}

{8196436,58307,22,1}

"BBBB"

{0,3}

{3,2}

{64636261,55039660}

Returns: {147, 8196424, 329, 58306, 1400388, 15, 56439948, 1 }
{7676,193,897,114,1,3388988,89259,1}

{7692,407,1161,322,291,3388993,89272,38}

{479199,84286,705919,1860,12000,1,244,1172947}

{479232,84287,705924,1932,12065,16,255,1172969}

"BBBBBBWB"

{4,3,5,4,7,4,1,1,4,2,1,5,3,0,1,2,5,6,1,0,5,3,0,4,0,7,3,7,6,4,3,7,3,1,1,7,5,4,5,2,6,1,3,1,4,1,0,5,3,3,1,3,2,0,2,3,1,3,7,5,7,5,3,5,3,6,4,1,4,7,4,2,2,2,1,4,6,3,4,7,6,2,6,0,5,4,3,0,5,3,6,4,5,6,1,6,4,2,5,0,0,1,3,4,7,0,6,1,2,4,3,1,4,3,2,1,5,4,7,4,2,1,3,3,7,3,4,3,4,5,2,5,7,7,2,4,3,5,4,2,1,7,1,2,5,1,5,6,4,4,2,5,2,3,2,0,4,7,6,6,1,4,7,5,7,0,4,4,2,7,5,4,3,3,3,1,5,1,7,3,6,4,2,5,1,0,0,1,4,3,4,6,2,1,7,6,0,7,6,6,7,7,6,7,4,7,0,0,2,5,7,1,3,2,7,6,1,1,2,7,6,4,4,5,4,1,5,3,2,5,2,3,2,3,2,4,7,0,7,0,0,1,1,5,1,5,5,1,4,4,4}

{0,6,7,6,7,6,2,4,1,7,7,4,2,0,6,5,7,5,2,2,2,0,5,2,5,6,3,6,5,3,7,0,6,1,6,7,1,5,0,7,5,1,1,0,0,7,3,7,6,4,6,5,6,1,7,4,7,1,5,6,4,3,0,4,1,2,1,7,2,0,2,1,0,3,5,0,6,2,1,3,2,5,3,2,7,6,0,4,0,1,4,7,4,3,3,2,0,6,5,5,5,7,3,4,4,4,7,0,1,1,0,3,1,5,3,3,2,3,1,6,1,7,5,6,5,1,0,5,3,7,1,0,5,3,0,7,1,6,0,7,7,2,4,7,2,4,6,6,2,5,3,0,4,4,2,0,7,2,3,4,2,5,5,5,0,7,1,4,1,2,3,5,3,2,4,4,4,2,2,0,0,4,3,3,5,0,6,4,3,5,3,6,7,0,2,0,1,5,6,3,5,7,2,6,3,0,3,2,7,2,5,3,2,2,6,3,1,5,4,2,1,2,0,5,4,0,2,0,7,6,6,5,0,0,4,7,4,5,0,5,4,1,7,6,6,7,4,2,7,7,0}

{475592,90669,4562323,101148,773,101331,622728,73277,73421,468668,1089583,3401829,705342,638,173247,4094297,4562202,3300765,622479,233291,4094543,485410,3860796,695539,3860611,1261991,167,1262181,3300087,10706,1171696,701569,91315,575,173278,608,3473592,3401719,3860815,468456,3300286,145,82677,402726,475100,1089379,484727,4562158,90923,11189,173284,3391010,793940,402236,468363,10636,1089269,82670,4562428,3300591,1161304,3391317,485436,3401095,82748,794448,72859,1089185,695307,701975,695384,622393,233617,705627,3473629,475008,471,705118,73289,1171995,793937,4094184,90834,233878,4562329,101730,484707,475401,3861083,83144,101187,1161375,3401519,90702,83250,794522,475476,793811,375,3860744,3860837,1089072,243,196,1160973,474870,1262561,402291,622544,73293,485334,82541,72819,3390980,705215,83154,4094329,11232,1089147,101226,622922,1089095,3391029,91323,4562389,82880,475629,3391162,10958,4562119,623079,3861312,4562335,1171963,233659,1161688,82765,3300502,475028,468312,1089888,468589,72704,468724,4094093,73064,3300577,662,695134,3401810,705633,3861254,695238,11230,531,625,1161298,468973,90919,101088,622718,3401370,4562082,298,701650,701874,73409,86,623079,468992,3390895,3401172,755,705163,10897,72949,3401633,622540,468418,484946,561012,815,705680,3390717,3473513,142,561226,72666,10871,3391328,10708,765,469010,402809,468791,561323,402221,4562407,769,91333,4562705,327,794174,1262579,10591,701832,485188,233679,468506,4094527,4562551,83244,705602,242,1262275,90879,456,3472927,695384,468294,173609,695014,475369,725,198,402841,4093819,484740,468650,3300034,794544,3390662,234055,485429,695372,1161606,1161288,3860855,701756,3861286,475611,673,1089205,3300665,172951,4562266,3401438,622821,1161294,1161561,475495}

Returns: {7676, 479199, 368, 84287, 1112, 705919, 274, 1927, 103, 12054, 3388988, 15, 89259, 255, 38, 1172947 }
{663161,770,458700,862,8419566,70308440,1,837,6,2431}

{663161,841,458757,885,8419598,70308483,2,873,9,2434}

{841249912,901,194611,33329,9026277,1665,45534751,62,6855987,1}

{841250161,907,194750,33359,9026659,1698,45534793,263,6856453,2}

"BBBWBWWBBW"

{9,4,5,4,5,8,6,1,7,3,5,8,6,2,1,1,5,0,4,7,2,5,1,0,0,4,8,6,7,9,7,6,7,6,1,1,7,3,7,2,9,3,7,0,3,6,2,4,4,6,6,6,6,8,9,4,9,5,6,1,4,0,9,6,1,6,0,3,3,0,7,1,0,0,3,4,0,2,0,9,6,3,1,2,6,0,0,1,5,2,8,6,8,2,7,4,8,8,4,2,4,0,7,4,2,7,6,3,5,8,2,7,9,0,7,3,7,1,8,7,9,7,1,6,8,8,6,4,3,9,6}

{5,9,5,9,1,2,1,1,7,0,9,4,5,0,3,8,1,0,6,9,0,0,5,1,6,8,8,0,8,1,7,7,9,8,5,8,2,2,9,3,7,6,8,8,6,9,8,7,5,2,2,0,6,3,1,3,8,3,2,8,2,3,6,1,1,2,8,6,8,6,3,0,1,1,2,8,5,7,8,1,9,4,6,3,0,4,4,9,1,9,4,6,9,4,2,7,8,7,0,6,4,5,2,0,9,9,7,4,2,5,1,5,5,1,3,3,6,5,7,1,2,9,4,5,9,5,6,3,4,8,0}

{70307709,17443534,4,17443526,70308398,7120099,45534711,10,1,841878878,70307708,10589818,115841538,841259612,32459,6856073,70308395,0,44928012,1627,841259617,910893526,70308391,841911336,796378311,10589823,5,796378306,6856941,2495,5,45535579,1625,38678641,70308390,6856073,652542,619266,1634,619269,1628,45502291,6856944,835056932,45502289,45537204,7120099,17445032,70913541,45798743,45798738,796378305,1,6823652,2499,17411757,6858571,70339258,45798744,6856070,16792505,841878873,45537203,45534714,9,45798737,835056943,45502291,6823654,796378309,33289,841911340,841911338,841911336,619263,10589826,910893531,652538,835056935,2504,45537209,17411757,45534716,619273,796378307,839979994,839979993,2501,70308400,651035,10589825,1,6858562,16792495,652539,17445027,10,6856940,839979999,45798741,11,910893525,652537,839979992,651034,1627,45535580,17411766,70042812,77162903,651728,70309210,70307706,841911337,33291,9,45535574,70308397,6856947,874,651031,1635,17444216,115841536,6858562,77162899,11,17411766,17411759,6858572,796378304}

Returns: {663161, 841249912, 841, 906, 458711, 194750, 864, 33342, 8419566, 9026325, 70308442, 1684, 2, 45534768, 873, 68, 6, 6856135, 2432, 2 }
{746576002,18879,77693657,6015960,85991240}

{746576016,18898,77693703,6015989,85991263}

{10069666,30946440,1,653970,2182083}

{10069666,30946455,359,654087,2182085}

"WBBWB"

{3,3,4,2,4,3,3,3,1,1,2,0,3,4,1,2,2,1,0,0,0,0}

{2,0,2,4,0,1,3,0,0,3,4,4,2,3,2,0,3,4,0,0,3,0}

{72332108,749976162,10479925,10479634,668472845,36289540,241,749975847,767434212,36289834,10479632,668472614,72332269,81503663,108621350,678952251,72331831,114737139,180,318,749975862,58}

Returns: {746576016, 10069666, 18896, 30946441, 77693697, 180, 6015989, 654029, 85991251, 2182084 }
{8792,429080,455,680,8010,1,66,3}

{8845,429085,552,733,8014,19,106,14}

{906951632,107642896,1,76678,354830566,14,279,431737879}

{906951658,107643155,2,76687,354830578,20,284,431737950}

"BWWWWBBB"

{1,5,4,1,4,7,2,4,6,1,3,3,1,5,0,1,6,1,2,4,0,6,2,0,3,6,7,2,5,2,4,5,5,1,7,7,6,0,1,3,7,4,6,4,4,7}

{4,3,1,6,4,3,5,3,6,6,6,6,2,3,5,6,4,2,6,5,7,0,2,4,7,3,1,0,0,6,2,3,5,1,3,4,0,4,6,4,5,0,0,1,3,1}

{247608778,77491,247609246,108071963,57,431662013,840,354761278,164,108071667,77516,77147,108071748,77697,906960494,108071991,354838665,108071793,1210,354838776,475223066,906960464,313,552121930,431661980,77322,324524495,906960169,906960629,1126,354838575,77529,445,433,431662283,76915694,906960254,552122295,108071650,354761451,431738230,552122238,906960498,247608897,354761732,324524441}

Returns: {8832, 906951645, 429080, 107642958, 504, 2, 710, 76682, 8012, 354830572, 10, 17, 105, 284, 5, 431737914 }
{28052,9563238,1,34912,1,1,9687,226739,9017,90639,1,301042,895852218,70,6682,1,833908,688895567,1,123589,1,21,316718611,9896}

{28098,9563402,3,34937,28,39,9699,226741,9017,90640,2,301332,895852255,72,6943,4,833915,688895608,18,123660,9,40,316718913,10169}

{7613196,56636,3467196,426917,71577,6884394,8675,7167167,1596,709230,14238,768451733,16666635,43,86707797,1,9,468,415,6,3213826,87088614,84889472,1}

{7613197,56639,3467198,426925,71591,6884433,8720,7167329,1596,709421,14404,768451735,16666672,54,86708199,62,265,492,426,8,3213846,87088621,84889476,18}

"BWBWBWWWBBBBWWBBWWWBWWWW"

{2,21,7,7,23}

{11,23,8,15,14}

{765285594,87098523,7383327,7393938,86711010}

Returns: {28075, 7613196, 9563321, 56637, 3, 3467198, 34925, 426921, 21, 71584, 20, 6884414, 9697, 8697, 226739, 7167201, 9017, 1596, 90639, 709326, 2, 14321, 301062, 768451733, 895852237, 16666653, 71, 49, 6941, 86707800, 4, 61, 833913, 137, 688895596, 480, 12, 420, 123624, 7, 2, 3213836, 40, 87088614, 316718762, 84889474, 9966, 18 }
{489532,2,6801,6045,54160651,657,623,1,87131938,1,82306,28975819,800188,654138780,358098,240,1,211056380,82484828,354006,77182,73537587,50,7,529388,606,707651500,1,965,727,1,830052426,608,300051,261,4930,61951363,19,4763,35720032,1,748804627,1,68,1,774,704,7305,5855,1038,4,5976,42,8,1,1225893,66292,43696,464687180,819962,342705070,770183,169,96296421,46654364,7911,565,66769353,1,55381301,1,7223000,74173,449,66,1,950855192}

{489534,29,6811,6057,54160666,670,899,24,87131940,5,82405,28975824,800210,654138783,358125,246,8,211056536,82484887,354026,77788,73537665,372,7,529505,625,707651939,282,987,754,1,830052428,624,300068,284,4933,61951373,19,4781,35720046,131,748804657,2,70,9,830,955,7323,6041,1043,6,6186,43,11,1,1225899,66604,43905,464687209,819978,342705079,770283,404,96296440,46654365,7948,577,66769659,289,55381519,29,7223004,74182,676,200,37,950855193}

{1078896,3,43580,22,39,1560,9049,54863922,1,6500886,8845865,4403,101154722,38,51590073,1,194801,49,3218487,20792943,9202837,64,6,80394866,1,5,2056199,11581554,1,34264766,2081,1,702242,1362256,52,221993393,52392,18033107,1,5730,976624,2632,56001,83816,1,8379932,9438,5408249,56718877,1,1740,738805,690749,1,125008021,309935301,74694963,1086831,4708,56552307,3908090,814920705,37832,23861684,160591,7,724365,1,22,7552432,2626,1,4892,1,826,65,10419116}

{1078906,15,43582,338,49,1565,9079,54863947,6,6501076,8845869,4408,101155081,51,51590074,2,194804,147,3218536,20792982,9203139,102,40,80394873,10,44,2056249,11581568,48,34264980,2085,2,702295,1362493,53,221993704,52640,18033205,2,5789,976699,2884,56004,83819,50,8379982,9503,5408293,56718996,304,1938,738823,690885,23,125008052,309935332,74695030,1087010,4902,56552320,3908101,814920737,38035,23861863,161048,10,724415,87,36,7552473,2761,1,5190,36,835,77,10419162}

"BWBBWWWBBWBBWBBWBWBBBWWBWBBBBWWWWBWWBBBBWBWBWBBWWBWBBBBBBWWBWBBBBWWWBBWWWBBWB"

{74,53,20,5,52,65,29,57,44,73,66,8,76,58,72,41,9,12,8,33,54,50,45,19,43,36,43,76,38,18,73,22,60,61,69,40,70,9,23,10,21,58,66,23,72,63,26,53,3,39,38,54,42,72,13,64,12,55,16,2,34,18,30,14,50,73,55,66,9,48,48,70,11,5,66,49,46,30,73,37,46,21,36,20,25,35,25,27,0,64,25,10,66,65,64,53,41,8,53,19,11,30,55,74,3,49,7,25,64,46,12,8,55,7,61,66,47,46,63,0,62,25,5,14,64,75,37,50,74,24,47,56,26,24,6,38,32,33,7,44,40,42,72,30,9,41,6,69,42,2,37,14,64,42,8,29,35,2,7,38,22,17,19,58,57,31,20,49,51,26,13,61,25,39,4,1,55,67,17,74,31,36,23,66,25,73,48,2,37,16,3,3,75,17,40,16,17,76,61,9,9,4,0,73,5,52,65,51,46,33,75,36,37,22,14,66,8,50,64,28,23,40,2,48,61,72,42,49,72,7,37,61,35,44,17,18,39,11,17,59,16,21,14,37,66,38,31,76,46,4,10,37,12,23,10,67,25,47,59,73,55,33,37,74,37,40,53,53,16,43,21,6,3,27,47,29,27,34,4,29,63,2,58,61,32,31,1,39,42,15,2,11,60,35,66,51,23,34,58,29,31,69,48,44,58,39,54,26,60,15,61,35,66,0,74,44,49,63,31,60,12,49,57,15,38,28,51,71,49,10,28,8,10,22,30,56,26,9,4,50,26,72,49,3,53,15,40,55,34,59,46,29,21,5,32,66,51,29,16,16,0,18}

{19,5,59,41,31,60,37,60,13,8,67,74,68,4,6,49,59,48,17,68,58,72,57,43,7,38,30,31,4,10,24,37,65,55,11,73,11,66,57,53,48,60,39,50,54,23,4,63,41,61,22,59,38,21,19,49,15,66,73,17,44,16,74,8,22,24,4,4,21,3,15,15,16,5,21,31,10,6,4,24,20,12,62,47,9,70,4,71,28,12,59,67,3,4,23,43,27,5,45,3,18,35,45,20,22,23,20,28,38,7,60,74,24,30,55,62,44,14,42,50,40,6,1,73,49,62,50,73,55,71,20,72,62,43,39,12,49,75,16,70,38,35,21,13,50,71,0,59,11,13,19,70,39,16,14,44,61,58,69,9,8,58,71,69,40,46,51,36,29,55,63,52,4,24,1,48,0,10,71,10,69,54,64,53,6,50,23,40,38,19,26,22,62,59,11,53,30,58,45,28,24,17,36,49,5,76,6,37,7,39,13,55,51,57,11,40,53,74,56,26,12,47,0,11,12,14,11,54,19,14,11,38,5,16,73,21,27,10,20,69,13,32,14,69,34,34,31,10,21,47,19,28,45,68,69,31,70,31,37,50,19,68,14,12,56,33,36,36,20,58,31,56,49,27,32,22,76,5,1,44,48,40,12,23,19,7,34,30,52,15,45,17,52,8,69,18,73,16,20,25,26,25,17,56,66,38,44,45,44,29,1,32,12,4,34,37,43,7,3,72,29,20,49,27,4,55,45,31,59,43,49,17,12,44,68,66,58,42,12,58,69,45,50,71,54,25,73,29,33,3,24,53,50,3,38,23,62,0,35,54,42,67}

{21146391,2593,48091837,748805428,830743739,346605674,16232418,345482317,654138816,87131741,67493530,87132980,961274604,410531591,77484,748806728,50871447,45230868,123924685,1662601,589690687,77803,7336287,21063068,54780707,61999594,82030,131222311,54156257,88030314,529277,18033707,346605313,505441376,33954078,977423,28977606,5777772,79351893,8928613,130250884,125885621,36438605,80393444,125077228,152829818,655547499,120158734,748801673,849865230,5261,69276134,61129,73468983,674578219,46814820,101955311,310436621,195476,211093209,653,85508671,1379,138364042,2139,529289,362870521,54884623,80039112,56719015,56725042,3419,29166369,314,74261718,830051915,8918465,7655,54160465,18562792,9270924,173892700,61966084,3865337,6502026,221996210,54160359,18804523,1567458,146848195,57371814,75533221,729894,54153132,126888474,84126,760383499,87133214,8381228,21141202,56723654,221996796,302780992,9280102,6359,80396104,45738792,905,46810897,54855290,439151867,87133181,310631823,54862108,505441138,686975,5415704,51938165,120102427,1566714,939247,9551,2609,51948094,46814472,38373,18031794,2491,311160680,6693712,3865505,74698016,709669602,613238,35722784,101950515,703262,1662308,54669411,3180,981736,221943082,73469122,654140957,6499202,741584942,1559077,103561357,29027927,654175811,3114028,51945609,11090038,138977,138363970,34265770,593692634,464719136,102693248,6506084,87132334,253635921,27662253,416853631,154709,830061264,8536099,62003373,33531875,1014305114,581704513,815000156,54160480,35196447,54160852,56725406,309593178,75532972,203833697,8927399,782223676,186907167,126888456,725002,9566,2777,23682441,940416,18038093,20952514,709701723,6252,38668,266788844,29948346,194899,211058950,496582489,807310548,6502398,7030934,156895998,62488624,676,239,960583478,16490,17300652,54855593,36776577,654139184,370608428,17301024,1131135,80203487,253294,87132202,1182,121122532,709706964,21560743,4439176,1518175,85684369,713795816,51869016,29027552,125009428,21067837,3632223,47004712,815686698,221996577,195131,211056027,12166026,47295902,37735170,220182000,103561716,654333579,74239668,273,65862205,724832,4901,130,952346427,73546683,59561726,12218827,18034646,93574870,80395148,56592527,763283396,3403,835453521,39339452,2448,290014478,1662570,33915440,101954443,56728523,685944,62004170,62004341,9085806,464766145,756515315,74752138,5549,355,4712710,34265842,952017565,2359,54161165,34266050,129147741,940446,565037418,735296265,20444386,884916372,392,35723812,635022,93,8342579,182085073,345922508,309121252,62209120,84958610,80395444,195585,473808334,34265336,124457691,62933349,267769551,74761626,465406539,35721136,125008616,713974450,346613673,34265807,815691074,221295863,101230280,54750032,1381,18033588,84848,127298699,830046464,346533988,67689720,9279879,1130382,11581922,54155927,311160679,7646911,822829577,57371766,8844537,133,123924914,93027136,481,2608,74036418,245015796,6445502,154515984,464690427,657766681,8448526,3398,7217001,125008249,539,977577,276895714,1662460,57366258,538362,34265545,73539841,7029,706936,79671414,706876,33675199,221803836,124813529,1512565,18933981}

Returns: {489533, 1078900, 21, 9, 6811, 43580, 6057, 58, 54160653, 39, 665, 1563, 691, 9049, 24, 54863923, 87131939, 4, 3, 6500981, 82359, 8845868, 28975819, 4408, 800188, 101154796, 654138782, 43, 358106, 51590073, 243, 1, 7, 194804, 211056401, 111, 82484843, 3218492, 354006, 20792943, 77629, 9202982, 73537645, 83, 219, 23, 7, 80394866, 529447, 5, 612, 31, 707651592, 2056245, 148, 11581561, 987, 48, 730, 34264840, 1, 2085, 830052426, 2, 615, 702273, 300051, 1362370, 273, 53, 4932, 221993548, 61951369, 52516, 19, 18033204, 4772, 1, 35720032, 5789, 93, 976661, 748804651, 2758, 1, 56003, 70, 83817, 1, 25, 829, 8379932, 857, 9470, 7314, 5408266, 5982, 56718936, 1038, 129, 5, 1839, 6087, 738814, 42, 690817, 8, 19, 1, 125008022, 1225896, 309935317, 66402, 74694969, 43879, 1086985, 464687200, 4892, 819970, 56552315, 342705070, 3908090, 770282, 814920705, 404, 38035, 96296427, 23861774, 46654365, 160820, 7931, 9, 570, 724408, 66769495, 79, 148, 29, 55381416, 7552453, 18, 2694, 7223001, 1, 74173, 5047, 573, 34, 102, 833, 37, 77, 950855193, 10419120 }
{74193720,684,1,1,419994,481562582,343010,315403375,78371,426536,7595,3733,1,778926932,26,55,4255956,1,9487974,173191,8267,76,8,620484,870497275,5881,98655,43282,64441,6653,1791,8441,1,759552779,3572236,8015708,6580,1,759901,1,232240115,1,449,1,1942,1226,5372,1,324,783,955056,5,250,3489851,4790948,5993}

{74193796,687,16,4,420048,481562599,343080,315403480,78378,426939,7634,3744,108,778927023,34,61,4255956,107,9488059,173211,8305,157,8,620844,870497278,5885,98727,43432,64449,6673,1924,8452,3,759552790,3572272,8015736,6672,20,760001,2,232240209,3,486,176,2042,1247,5373,84,326,793,955110,140,314,3489885,4791081,6022}

{822199191,734,28014,5383,67,68133308,1,5228,4754625,9417719,638,1,1,706757,74291742,23,5224,1,38,335356,1,1,706,85903,1,2646248,1,181632824,885,1242,45007191,221514,11008613,443320409,540135,840441,227926,10569653,8,1,130,9830,1358713,148146233,30189,47619897,3129,91765566,40641,3773442,1,6200168,762777476,46,17462576,39}

{822199196,843,28181,5461,72,68133495,44,5254,4754996,9417742,761,252,24,706921,74291745,73,5292,1,54,335460,5,25,980,86191,23,2646586,79,181632839,892,1249,45007394,221515,11008613,443320606,540138,840497,228220,10569676,11,3,150,9851,1358714,148146245,30235,47619904,3129,91765571,40795,3773448,4,6200362,762777566,94,17462615,87}

"BBWBWBWBWWWBWBWWWWBBWBWBWWWBBWBBWBWBBWBWBWBWBBBWBBWWBBBW"

{8,13,20,4,20,55,53,6,48,30,31,21,41,51,36,6,45,34,24,47,49,43,2,31,51,24,36,1,36,38,28,25,6,37,37,15,30,20,0,52,48,40,39,21,10,32,54,48,3,50,2,16,54,46,13,35,33,47,46,28,7,3,28,18,1,29,6,50,44,18,31,34,55,37,30,54,13,5,9,42,32,3,27,38,42,20,12,41,34,43}

{3,10,13,53,4,29,26,36,23,53,9,22,53,39,40,32,55,33,41,1,29,20,5,24,50,45,40,46,34,53,18,18,19,53,29,0,38,9,42,53,3,32,12,5,21,11,20,27,9,18,16,22,5,10,18,5,27,37,54,5,34,42,47,37,18,12,24,55,22,18,51,7,53,14,55,17,1,45,14,37,22,49,38,43,5,54,6,0,42,0}

{4828026,779625487,779625549,3069861,411862,1881,3391269,564466,665363,48495263,9614734,791,3499689,6200269,232461446,11351675,47624673,1198760929,870507168,91765394,3778084,148154445,549667902,870710359,7155308,918115962,232461443,7059,3877841,2730061,9424416,12128337,505359,14059502,10575130,896392842,45765364,9836399,895033804,766267063,35658,243248666,20,549695863,8284,11012364,22245374,181635130,9839309,8532942,4278673,4260545,527442287,4634,770145826,540839715,1021197201,81195991,22245223,549630611,312366092,1353785,91829070,20057618,9488077,7952,870154241,949163,31432,49,5987138,312366094,3483949,63722128,45011381,22253684,779632350,502074836,65300942,9211462,11007930,3768859,182349474,148906027,548336759,22245413,343064,896383077,4390408,748246554}

Returns: {74193729, 822199192, 685, 796, 16, 28024, 2, 5433, 420023, 69, 481562583, 68133346, 343043, 15, 315403437, 5244, 78375, 4754811, 426743, 9417731, 7613, 737, 3737, 126, 22, 2, 778926952, 706809, 31, 74291743, 58, 62, 4255956, 5292, 107, 1, 9487974, 53, 173199, 335408, 8290, 4, 118, 25, 8, 706, 620484, 85903, 870497276, 18, 5885, 2646301, 98688, 40, 43299, 181632826, 64441, 892, 6664, 1246, 1872, 45007243, 8446, 221515, 3, 11008613, 759552780, 443320507, 3572262, 540136, 8015736, 840497, 6662, 228045, 20, 10569654, 759936, 9, 2, 2, 232240146, 141, 3, 9851, 471, 1358714, 160, 148146236, 1956, 30189, 1247, 47619904, 5372, 3129, 80, 91765568, 326, 40719, 790, 3773445, 955086, 4, 36, 6200236, 284, 762777507, 3489861, 72, 4791059, 17462594, 6012, 68 }
{410,16836271,588818,2431864,589433,1,449981688,96234,67,97101829,64874,23413,1,94080,5923156,515113,570322,94072,7071128,21,66,455066843,1,19531104,66,7,3862052,2950,150228969,235776,1,76,1,46,57509,57320753,2,134,8163,1,59077800,260322534,8860,1,1,229980,685073654,136561,86,1,8,12911,26,2647939,55940139,614,1,1,812052,788,42390814,79354064,167366180,3849,6,1,2128,321784528,12243051,2}

{447,16836305,589195,2431894,589520,27,449981723,96456,71,97101975,64956,23431,150,94118,5923204,515296,570481,94099,7071246,108,450,455067068,4,19531128,87,27,3862054,3026,150228971,235851,31,538,2,100,57641,57320783,15,294,8377,3,59077810,260322646,8862,23,54,229984,685073655,136587,103,19,8,12956,41,2647980,55940156,842,15,100,812094,788,42390852,79354065,167366328,3902,46,81,2128,321784692,12243252,2}

{7016,3396621,6,1,1252034,54961717,5,158246,318,623502087,2537914,99075,71097166,4233539,10371754,1,3,1,150787,7118924,155921,294456608,1205584,9,582716985,8272,4973,20480754,1,406612,341571285,223928867,1,4897997,65873207,75403,8166340,95527302,85251762,93397763,46643,48,1142471,702860,8684074,1,7558,2727974,1,42896103,349295,538206,271944517,1,70542,67941,4914940,310745,721225,1,7565,1,18254838,2,4,1,1,1,1,1}

{7023,3396634,9,1,1252037,54961717,340,158249,329,623502157,2538022,99105,71097289,4233541,10372159,5,5,18,150788,7118927,156219,294456630,1205885,327,582716988,8682,5021,20480786,312,406984,341571460,223929022,3,4898006,65873233,75414,8166405,95527342,85251869,93397829,46666,96,1142493,702862,8684075,4,7811,2728071,1,42896438,349437,538218,271944521,144,70881,68004,4914941,311440,721347,41,7578,38,18254886,2,5,286,59,6,59,55}

"WBBWWBWWBWBBBBWWBBWWWWWBBWBBBWBBWBWWBBWWBBBBBBWBBBBWWWWWWWWBWWWWWWWBBW"

{41,13,31,61,67,52,30,15,65,21,36,47,44,36,22}

{3,28,41,17,36,35,40,56,46,68,20,54,62,43,19}

{257890715,154368177,484251465,79260012,329951030,329189845,400602467,5430252,685081252,737280475,8010189,58460725,176937129,7463499,5913352}

Returns: {429, 7019, 16836291, 3396628, 589007, 8, 2431893, 1, 589477, 1252035, 26, 54961717, 449981696, 172, 96346, 158248, 68, 323, 97101934, 623502122, 64903, 2537968, 23417, 99090, 88, 71097227, 94118, 4233539, 5923194, 10371956, 515205, 3, 570401, 4, 94090, 9, 7071187, 150787, 58, 7118926, 67, 156219, 455066965, 294456619, 4, 1205734, 19531113, 168, 77, 582716986, 23, 8477, 3862054, 4997, 2999, 20480770, 150228969, 214, 235816, 406798, 21, 341571350, 309, 223928944, 2, 2, 77, 4898002, 57576, 65873220, 57320766, 75412, 12, 8166349, 233, 95527322, 8323, 85251815, 2, 93397796, 59077800, 46665, 260322555, 54, 8861, 1142482, 11, 702860, 28, 8684075, 229982, 3, 685073655, 7685, 136587, 2727974, 102, 1, 6, 42896271, 8, 349437, 12938, 538212, 36, 271944520, 2647969, 73, 55940139, 70801, 747, 67973, 8, 4914940, 51, 311093, 812070, 721286, 788, 41, 42390834, 7572, 79354065, 19, 167366256, 18254862, 3902, 2, 26, 4, 66, 146, 2128, 58, 321784611, 4, 12243165, 30, 2, 54 }
{6571369,1,295402,1322,79,2208,66279,8403502,3515,44412227,5461,435499,1,3382648,42659874,9743028,412003361,1,477457852,167,715,591592426,1,7,1,46,384,1,938,867165,509,103,3582,5033162,3697}

{6571609,59,295577,1683,181,2584,66342,8403506,3515,44412227,5981,435503,1,3382662,42660267,9743041,412003361,95,477457977,203,753,591592436,9,162,134,49,406,1,951,867193,509,582,3670,5033296,4045}

{68,38930433,6121891,1,3,1,1,532,1,6170,96306,927687,46,445218175,7289,13711361,75289,6169,143,5644,1,500369,7959,92631841,1,1,530,857,1,62550,177534,1,322799735,922299,6017137}

{101,38930437,6121898,2,8,113,9,1102,43,6234,96324,927744,76,445218219,7302,13711409,75306,6204,183,5926,151,500372,7970,92631871,7,33,672,926,2,62575,177745,187,322799736,922304,6017308}

"BBBBBWBWWBBWWBWWBWWWBBWWBBBWBWBBBBB"

{13,17,16}

{25,27,26}

{448601311,6066,412078255}

Returns: {6571493, 84, 32, 38930435, 295490, 6121895, 1503, 2, 132, 5, 2415, 57, 66314, 5, 8403503, 817, 3515, 43, 44412227, 6234, 5722, 96315, 435499, 927715, 1, 75, 3382656, 445218197, 42660076, 7296, 9743039, 13711385, 412003361, 75306, 54, 6186, 477457917, 163, 199, 5785, 751, 76, 591592431, 500370, 4, 7964, 86, 92631856, 71, 4, 46, 17, 388, 601, 1, 925, 945, 2, 867180, 62562, 509, 177744, 383, 94, 3626, 322799735, 5033230, 922301, 3954, 6017223 }
{1,9567188,93381434,80758,45004621,17,3163,445,556780,38439,980928,63615,74,8270,344,75164475,3805,54753396,15870231,6930959,208490,1,433792,1,796258,63316100,839,40470215,1,694,4914,45997,62,84475,1,781,1,981291,1,29419,2750,397,1,7068190,272,47618,1,1,77348,5955,171,75290657,1623,36,832,3337838,37,1389002,8965945,854,273436,13286472,1,559,613,2773667,78605104,1,1,6582,1,72280,55192,1,37721,687576,10,189,269703,78655002,3704,6860,24,1341,65809,827,1,1,45514983,3522966,53,3191711,487083,7109,322,600176660,38356}

{1,9567263,93381444,80773,45004632,19,3216,468,556787,38493,981010,64045,74,8354,589,75164561,3837,54753409,15870342,6930969,208618,204,433794,44,796263,63316230,960,40470216,59,708,5317,45998,76,84475,1,786,39,981297,9,29453,2795,432,228,7068584,278,47636,7,50,77514,6158,268,75290668,1628,38,901,3338091,37,1389022,8966281,854,273448,13286474,5,779,780,2773683,78605179,2,1,6582,6,72485,55199,3,37806,687815,22,190,269737,78655058,4067,6892,26,1355,65957,978,130,170,45515080,3522994,84,3191715,487088,7134,324,600176934,38357}

{1,42544497,1,928,8,1,1,9308,808128,94737571,91367805,1,844571601,4607024,22747316,75313,1,1,24486149,726827,1,1,588735103,5,577938263,4715,1774093,5,80855062,904968,83547,755,359496,574126191,842097,932,79710684,212336,583767376,7396414,39911254,6905,96467,11050,39,84968,1,675,7564332,1,241329437,186681379,87864476,607298,86155,9632776,8701,1,176,4114657,26101,3095,1928,3,38858,71,92675588,6461998,1562852,20125508,56,61138531,422,99,373,940,889,702555796,668951,1,5219,9511371,1,279,1,5478,62271994,7,10252831,1558836,833299297,4051,47300,356,659,1,108}

{8,42544498,52,932,21,1,2,9329,808143,94737613,91367848,97,844571644,4607029,22747817,75322,1,257,24486258,726827,25,30,588735107,50,577938279,4723,1774096,12,80855242,904974,83589,759,359532,574126197,842097,984,79710814,212629,583767377,7396418,39911257,7262,96548,11051,162,85007,4,723,7564405,85,241329440,186681617,87864513,607335,86158,9632791,8933,6,178,4114943,26102,3134,2146,3,38859,73,92675690,6462065,1562875,20125601,243,61138562,475,324,926,948,900,702555801,668989,42,5220,9511469,9,311,5,5497,62272058,133,10252854,1558887,833299331,4447,47330,360,787,91,109}

"WBWWBBWBBBBWBBBBWWBBBWBBWWBWWWBWBBWBWWWWBWBWBWBBWBWBBBBWWBWBBWBWWWBWBWBWBWWWBWWBBBBBBWWBBWWWWBWBW"

{45,5,46,39,3,57,46,25,64,90,30,72,2,24,78,14,40,32,67,76,58,71,19,72,38,70,49,25,26,0,36,35,88,40,53,54,16,38,48,44,77,77}

{64,17,87,38,78,91,79,62,58,33,21,48,82,3,50,19,56,56,14,93,15,37,28,24,25,32,35,25,89,76,26,45,59,60,13,35,11,46,71,20,39,71}

{93130,54753379,12,576400410,856994,1807117,78655066,63318815,9004346,259257501,88463,7586049,93381429,578652828,240929964,28951314,39905267,350799,16285871,7634,66273347,61834820,87059203,578678859,647078880,359312,6352,0,3737249,893,77937633,130841,51652042,40155828,4007930,85282,59802,583767379,53579172,208386,695188644,641489488}

Returns: {1, 7, 9567226, 42544497, 93381435, 23, 80771, 931, 45004626, 15, 18, 1, 3190, 2, 457, 9318, 556780, 808135, 38471, 94737592, 980988, 91367827, 63639, 1, 74, 844571643, 8272, 4607025, 349, 22747522, 75164476, 75313, 3837, 1, 54753396, 2, 15870287, 24486204, 6930960, 726827, 208534, 19, 190, 16, 433792, 588735105, 22, 27, 796258, 577938264, 63316101, 4715, 924, 1774093, 40470215, 9, 57, 80855127, 703, 904971, 5078, 83561, 45997, 757, 63, 359496, 84475, 574126196, 1, 842097, 784, 971, 27, 79710749, 981291, 212589, 5, 583767377, 29438, 7396416, 2771, 39911256, 400, 7084, 123, 96508, 7068387, 11051, 277, 100, 47618, 84968, 6, 3, 26, 699, 77353, 7564339, 6082, 43, 221, 241329439, 75290659, 186681498, 1626, 87864495, 36, 607333, 867, 86156, 3337966, 9632784, 37, 8933, 1389021, 6, 8966264, 178, 854, 4114943, 273440, 26101, 13286473, 3115, 2, 2037, 779, 3, 697, 38859, 2773676, 72, 78605128, 92675639, 2, 6462032, 1, 1562874, 6582, 20125600, 6, 241, 72444, 61138562, 55199, 464, 3, 211, 37742, 650, 687698, 944, 12, 889, 190, 702555796, 269703, 668989, 78655037, 22, 3886, 5219, 6877, 9511420, 25, 8, 1342, 295, 65884, 3, 911, 5487, 98, 62272026, 9, 8, 45515008, 10252831, 3522966, 1558886, 80, 833299302, 3191713, 4249, 487083, 47315, 7117, 360, 323, 723, 600176799, 46, 38357, 109 }
{1,93621626,299993,67849146,28337660,48771,693,1}

{1,93621827,300075,67849148,28337816,48794,799,103}

{4415,8,26379625,2033347,1,68521394,19,381637}

{4803,423,26379805,2033351,273,68521394,45,382071}

"BWWBBWBW"

{2,0,6,6,5,3,7,7,0,1,7,5,3,5,7,0,1,5,6,2,2,6,3,5,6,5,3,0,0,4,0,2,7,7,4,0,6,7,0,6,5,2,2,0,0,7,4,2,2,0,3,3,5,7,3,3,4,0,7,7,7,7,7,5,1,3,3,6,3,1,7,2,5,1,5,0,1,1,5,3,7,6,7,1,5,7,6,1,7,7,2,6,5,1,5,5,0,7,0,2,1,7,7,3,4,2,7,6,5,5,6,6,0,3,2,5,3,6,1,2,7,5,1,2,5,2,1,0,4,0,7,2,6,2,1,6,7,2,3,3,4,7,3,0,6,3,6,5,6,1,5,3,1,2,2,4,1,1,7,6,6,2,5,5,0,2,2,1,7,5,0,4,3,5,0,0,7,3,4,5,2,0,3,6,0,5,3,2,0,2,0,6,3,4,1,2,4,3,4,2,1,5,3,7,1,0,1,3,0,2,3,2,5,7,2,3,4,0,2,3,2,1,7,6,5,1,6,7,1,3,0,4,7,3,4,6,7,0,1,1,4,1,7,2,7,5,7,5,6,0,6,0,3,6,1,2,0,1,3,1,2,7,6,4,4,0,4,5,6,6,2,2,0,5,6,0,1,2,4,7,5,1,7,7,3,1,1,4,2,7,2,3,4,2,7,6,0,4,5,1,1,4,1,6,4,3,5,4,4,5,6,0,5,6,3,7,1,0,3,3,5,0,3,4,0,4,1,3,1,4,1,4,0,0,2,5,1,6,6,3,4,2,5,4,4,0,4,6,1,0,2,6,0,3}

{6,2,2,1,7,3,7,3,2,4,5,4,0,3,7,4,4,3,2,3,1,2,4,7,0,3,7,6,2,0,0,1,0,0,0,0,3,3,5,6,6,7,0,5,1,7,1,6,1,7,5,2,5,4,6,7,0,3,3,5,1,1,7,0,3,6,7,3,3,4,5,0,1,6,1,5,3,0,2,4,3,1,5,7,2,2,7,5,0,0,6,5,7,4,0,0,0,0,1,3,2,3,7,3,5,7,0,5,5,4,3,6,1,5,3,7,0,3,3,3,2,6,4,1,0,5,7,5,3,5,1,3,1,7,6,3,3,4,3,5,4,4,1,2,4,5,2,0,1,2,6,2,2,6,2,1,4,3,3,6,4,2,7,1,7,5,3,4,6,7,3,1,1,6,4,0,2,6,2,2,3,6,0,2,7,7,3,5,2,1,3,0,1,6,3,2,7,3,3,2,3,1,2,7,1,7,4,1,0,0,2,6,5,0,3,2,0,3,1,2,1,7,7,7,6,5,2,5,5,0,6,4,0,0,3,3,7,0,0,5,5,7,4,2,0,0,1,1,2,4,1,3,1,0,6,4,2,4,6,4,3,7,4,6,2,1,2,5,6,2,6,5,0,3,7,7,6,3,1,0,6,0,1,3,6,3,6,3,7,1,4,6,1,0,6,7,6,1,4,6,6,5,3,2,1,7,4,5,0,3,1,3,7,4,1,7,5,1,0,6,5,6,6,7,6,7,0,1,1,5,0,0,6,0,3,0,2,1,4,7,3,5,0,2,6,0,0,6,3,1,1,0,7,3}

{26678992,26674907,26678993,93620952,68188027,10,7,69500336,26674906,65283995,68188029,96810226,69877692,134288407,4,28342426,65284002,134288401,26678986,91895356,119701178,26678991,41544804,68188027,5481,134288401,69500342,5475,26674907,28342424,0,119701173,377358,377366,28342429,1,69881781,69500341,68565387,4,68569477,26297547,26674900,68565384,93626425,3,65283997,26678991,119701178,377364,134288406,91895356,3,28719579,69881784,69500336,28342434,69877698,69500333,68188035,94003574,94003570,3,68565390,27805824,69881785,69500342,69881778,0,65283997,68188031,26674907,162094226,93620948,162094221,68565392,27805818,93626421,42393048,41544796,69500342,93620955,68188032,94003574,42393048,26297543,382626,162094226,377363,377358,26678992,68569480,68188030,65284003,68565385,68565389,3,377360,93626420,91895358,119701171,69500335,6,7,96810233,26297542,377362,68569481,7,96810228,69881781,8,93626418,134288403,91895353,68188031,69877700,69881785,27805825,91895354,26297547,68569480,65283999,119701172,68565385,42393057,94003580,68565391,41544800,68565392,94003577,91895356,93620947,26297549,93620950,69881785,69500341,54417177,1,134288411,6,28719585,27805823,26674897,28336982,134288401,26678986,68565390,93620948,119701172,68569473,91895360,119701176,26678987,8,65284001,65283996,27805817,69500337,6,28336984,4,68188030,162094226,377362,42393054,91895355,65283996,382628,68188026,69877697,65284002,27805821,68569480,28342427,0,26297549,69881785,54417185,42393056,91895354,5479,69877700,26678985,377357,68188032,1,42393052,26674899,119701175,69877698,5474,27805819,28336984,27805820,9,28719581,2,41544797,5,27805822,162094221,91895358,5,6,377366,65283997,27805817,2,26674902,91895356,26678994,0,377366,91895358,91895357,28342424,69877690,119701177,91895363,119701178,94003572,3,382627,68569477,162094221,26678990,68188031,162094218,69877697,5476,4,377364,69877699,41544800,69881786,5,10,93626417,162094222,96810233,94003579,28719584,3,377363,68565386,94003570,162094223,26678989,28342433,93620946,69877693,27805821,5472,93620948,54417182,26674903,65283995,69881783,65284003,91895361,9,28336983,28336985,54417177,93626427,54417177,5,0,26678987,26678990,42393050,8,134288404,382633,377359,93620950,91895361,65283997,377362,68569479,93626423,94003580,69500342,69881780,27805817,93620946,41544796,26297549,94003578,54417179,69881782,65283993,26674906,382627,382627,5475,65283999,96810230,93620950,93620955,96810227,27805827,26678994,65283995,69500335,96810231,96810231,28342426,134288409,93620952,69877698,68188030,28336991,27805826,8,162094221,93626422,69877694,69881784,0,5472,69881783,28719583,5482,28719584,93626424,27805820,5,96810230,93626427,28342429,5474,4,91895355,68565384,119701175,93620955,28336982,69500335,41544802,42393053,68565384,54417183,28336982,5,28342428,4,27805826,93626427,119701170,5481,377361,7}

Returns: {1, 4802, 93621626, 76, 300071, 26379625, 67849146, 2033347, 28337660, 79, 48792, 68521394, 712, 45, 101, 382059 }
{21962,2,363,56171,1,815776,33470,1148574,58773,21,627513721,89258,649766,80359563,1,1,5989320,556500,35010,1,672453,4617,1,3610,902712,1,6478061,1,906357,32451,1,999746,1,10732,58220238,35959,623843,785876,2,3979887,62866,4191,1051144,10577144,2697410,2103,5,1,1,1,4442449,4665757,592593,3,945330596,17,24299483,8875,3086,42275644,466681057,786871,140795372,41336791,1,4020}

{21966,16,566,56206,194,815781,33595,1148581,58790,56,627514077,89269,650008,80359585,22,4,5989479,556519,35013,43,672456,4734,2,3690,902744,6,6478063,12,906363,32459,1,999751,69,10733,58220313,36004,623924,785908,4,3979925,62876,4624,1051158,10577145,2697643,2229,6,5,11,6,4442458,4665760,592622,6,945330967,21,24299498,9077,3470,42275647,466681276,787212,140795381,41336805,1,4082}

{124561997,76649556,10,941,92,5832,7359,199,828786,417225,4990246,1,1,747717,8,1,19,539937875,59,8383,8119,1532,3924153,610038913,43730,1,4528,1,1,1,803041803,379,433,61,982,4,23,16,1,191859161,965093,288862884,750779012,327,3626469,35,39263,375426,1,2030866,58392542,309684,9800315,1,1,6,3,1620415,51824,82225529,1,90018,598,408883326,9429,8523866}

{124562384,76649557,10,1144,116,5843,7363,391,828852,417258,4990270,20,11,747889,73,246,20,539937892,309,8395,8159,1541,3924158,610038939,43912,23,4532,1,16,2,803042061,398,495,81,1013,4,124,17,7,191859182,965148,288862962,750779027,329,3626482,142,39291,375723,208,2030945,58392694,309916,9800337,6,10,113,5,1620519,51828,82225532,2,90066,820,408883361,9451,8524167}

"BWBBWBWWWWWWWWWWBWWBWWBWBWBWBWBWWWBWWBBBBBWBWWBBWBBBWWWWBBWWBWBWWB"

{13,11,53,47}

{50,60,53,61}

{133561973,466591804,7,1072516}

Returns: {21965, 124562190, 9, 76649557, 565, 10, 56175, 1042, 110, 104, 815776, 5837, 33533, 7361, 1148579, 295, 58789, 828819, 39, 417241, 627513902, 4990258, 89268, 2, 649892, 6, 80359572, 747814, 12, 40, 2, 124, 5989400, 19, 556510, 539937884, 35012, 184, 24, 8389, 672455, 8139, 4676, 1536, 2, 3924155, 3650, 610038926, 902718, 43821, 6, 12, 6478061, 4530, 11, 1, 906358, 9, 32455, 1, 1, 803042060, 999750, 388, 38, 464, 10733, 71, 58220285, 998, 36004, 4, 623874, 74, 785892, 17, 3, 4, 3979914, 191859171, 62869, 965120, 4428, 288862923, 1051151, 750779019, 10577145, 328, 2697532, 3626476, 2175, 89, 6, 39277, 3, 375568, 8, 104, 5, 2030906, 4442455, 58392618, 4665759, 309800, 592610, 9800326, 4, 4, 945330782, 6, 18, 60, 24299491, 4, 9024, 1620467, 3280, 51826, 42275646, 82225530, 466681070, 1, 786884, 90062, 140795378, 709, 41336794, 408883344, 1, 9451, 4056, 8524017 }
{33465953,11313731,645921}

{33466009,11313837,645924}

{19,8377,359158535}

{200,8397,359158537}

"WWW"

{0,2,0,2,2,0,1,1,0,0,2,0,1,0,1,2,0,0,1,0,2,1,1,1,1}

{0,1,2,0,2,1,0,2,2,1,0,1,0,2,2,1,0,1,2,1,0,1,2,0,0}

{2,369817963,391978538,391978542,9,22160585,22160582,369817965,391978547,22160582,391978540,22160586,22160584,391978538,369817959,369817964,2,22160587,369817962,22160582,391978544,0,369817959,22160586,22160591}

Returns: {33465987, 109, 11313743, 8397, 645923, 359158535 }
{203,87937612,82071}

{272,87937831,82084}

{89341,9261,1}

{89363,9265,10}

"BBB"

{2,1,0,2,2,1,1,2,2,0,2,1,2,0,0,2,2,1,2,2,1,0,1,1,2,1,1,0,0,2,0,0,2,1,0,0,2,1,0,1,1,0,0,0,1,2,1,0,2,0,2,0,2,1,0,2,1,2,1,0,0,2,1,1,0,0,2,2,2,2,0,0,0,0,0,2,2,1,0,0,2,0,2,2,0,1,0,0,2,0,1,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,2,1,2,1,1,0,2,0,0,0,1,0,0,1,2,0,0,1,0,0,1,2,2,2,1,0,0,1,2,0,0,2,1,1,1,2,1,0,0,2,0,2,2,0,2,1,2,1,1,0,1,1,1,2,0,1,0,2,2,0,1,2,1,1,2,2,2,1,1,2,0,2,2,1,0,1,0,0,0,1,1,0,0,2,0,0,1,1,1,0,0,1,1,2,0,0,0,0,1,1,1,1,2,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,2,1,1,1,0,2,2,1,2,1,2,0,2,0,0,2,2,2,2,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,2,0,0,2,0,2,2,2,1,2,0,2,1,2,0,0,2,2,1,2,2,1,0,1,0,2,2,0,0,1,0,1,0,2,0,2,1,1,2,0,2,0,2,1,2,2,2,0,2,0,1,0,1,1,2,2,1,2,1,0,0,1,0,0,1,2,0,0,2,2,2,2,1,2,0,1,2,0,2,1,2,2,2,2,0,0,1,2,1,2,2,0,0,2}

{2,2,1,1,1,2,1,1,2,2,1,1,0,0,0,0,2,1,2,0,2,1,0,0,1,2,0,2,0,1,2,1,1,2,1,2,2,1,2,2,2,2,1,2,1,0,2,0,1,1,2,1,2,0,0,0,0,0,2,0,0,0,1,2,1,1,1,2,2,0,1,1,0,0,0,1,2,0,2,0,1,1,1,1,0,0,2,2,1,0,0,0,2,2,1,0,0,2,2,1,1,2,0,0,2,2,1,0,2,2,2,1,1,0,2,1,0,0,0,0,0,1,1,1,0,2,2,1,2,0,1,0,1,2,0,2,1,1,0,0,0,1,0,0,1,2,0,1,1,1,0,2,1,2,1,0,1,1,2,1,0,0,2,0,2,1,2,2,1,2,2,2,1,1,2,2,2,1,2,0,1,0,0,0,2,2,1,0,1,0,2,1,1,0,1,0,1,1,2,2,2,1,0,0,1,2,2,1,2,0,1,0,2,0,1,1,2,1,2,1,0,0,0,1,0,0,2,2,1,2,0,2,1,0,0,2,2,2,0,0,1,0,0,0,1,2,2,0,1,1,2,1,1,2,0,0,1,1,0,2,2,0,0,2,1,2,0,1,1,1,1,2,0,0,0,2,1,0,0,2,2,1,1,1,0,2,0,2,0,0,1,0,2,0,2,2,1,0,0,2,0,1,1,0,2,2,2,2,0,0,0,0,1,1,1,0,1,2,2,2,2,1,1,2,0,2,1,2,2,2,0,0,0,1,1,1,2,2,1,0,2,1,1,0,0,1,0,1,2,2,0,1,2,0,1,2,2,0}

{1,87865009,88017652,87865009,87865008,87865009,1,87865008,0,171173,87865008,1,171172,0,1,171172,0,0,0,171173,87865008,88017653,88017653,88017652,87865009,87865009,88017652,171173,1,87865009,171173,88017653,87865008,87865009,88017653,171172,0,0,171172,87865009,87865009,171173,88017652,171173,0,171173,87865009,1,87865008,88017653,0,88017652,1,88017653,0,171172,88017652,171172,87865008,0,0,171172,0,87865009,88017652,88017653,87865009,1,0,171173,88017653,88017653,1,1,1,87865009,0,88017653,171173,0,87865008,88017653,87865008,87865009,0,88017652,171173,171173,87865009,1,88017653,171173,87865009,1,87865009,1,88017653,171172,171172,88017653,88017652,171173,1,0,171172,171173,87865009,88017653,0,87865009,87865008,88017653,87865008,1,171172,88017652,88017652,1,0,88017652,171173,88017652,88017653,1,1,171173,87865009,87865009,1,171173,0,1,88017652,87865009,171173,171172,88017652,87865008,88017652,88017652,88017652,87865009,88017652,0,88017653,0,0,87865008,87865008,88017652,171173,87865008,87865008,87865009,0,0,1,1,87865008,87865009,0,88017653,171172,171173,0,88017652,87865008,0,1,87865008,0,0,87865008,1,87865008,1,171173,87865009,1,88017652,88017653,88017653,1,1,171172,87865009,1,1,88017653,171172,171172,88017653,1,88017652,0,0,88017653,1,87865008,1,171173,88017652,1,0,1,87865009,87865008,0,1,1,88017652,171173,87865008,88017653,1,0,171172,88017653,87865009,88017652,1,88017652,0,88017652,88017653,171173,171172,171173,87865008,87865008,88017653,87865009,88017652,171173,171173,87865008,0,87865009,171172,1,87865008,0,1,171172,87865009,0,0,0,1,88017652,87865008,88017652,88017653,171172,88017652,0,88017653,87865008,0,171173,87865008,1,0,87865008,87865008,171172,1,87865009,88017652,87865009,87865009,1,88017652,171173,1,0,0,171173,1,171173,0,87865009,1,87865009,171172,87865009,0,87865009,0,171173,87865008,0,171172,88017652,171172,87865008,88017653,171172,1,1,88017652,0,87865009,0,0,171173,0,87865009,171172,171173,171173,1,87865009,88017653,1,0,1,87865008,0,1,87865009,87865009,1,171173,0,87865008,88017653,171173,87865008,0,0,0,171172,87865008,87865008,87865009,87865009,0,88017653,88017653,1,88017653,87865009,88017652,171172,87865008,171172,87865008,171173,171172,88017653,87865009,87865008,171172,87865008,171172,171172,171173}

Returns: {254, 89345, 87937722, 9263, 82072, 9 }
{202756614,1,9226,939,1,1551,1,235,6,331689,67,750992475,231,1,5483,1,1}

{202756614,26,9250,941,6,1614,179,289,30,331693,375,750992735,419,309,5717,9,149}

{91820019,867191,1,375913,58407,866223,1,273,1,1,1,4347696,75636,86729,429,5622,1}

{91820126,867200,8,375925,58410,866254,34,478,3,100,33,4347741,75638,86925,521,5624,5}

"WBWBWBWBBBBWWWWWB"

{12,9,6,11,4,15,1,9,1,15,16,0,15,16,7,3,10,5,13,14,2,7,13,16,12,4,3,10,11,0,15,8,8,14,7,11,2,8,4,1,7,1,15,9,7,12,12,10,6,3,7,12,13,8,7,3,12,2,12,15,3,11,1,16,15,8,5,6,12,6,14,6,4,9,10,10,6,12,14,9,3,1,16,2,8,14,9,2,13,15,8,9,15,15,5,11,12,4,13,6,3,9,5,12,8,2,14,10,6,9,9,2,8,16,14,5,10,12,8,15,5,0,10,8,6,5,10,0,14,7,6,10,0,0,1,15,11,14,0,9,0,15,12,8,14}

{4,16,4,3,6,12,3,3,8,0,12,2,9,7,4,10,11,6,6,5,4,13,7,9,6,13,9,4,5,9,6,9,12,10,10,10,7,13,4,5,1,10,6,14,4,8,15,1,8,11,0,13,4,14,0,2,8,5,8,11,0,13,0,1,5,16,12,8,9,7,12,13,6,3,7,10,1,15,1,10,2,14,15,2,16,10,14,15,0,7,14,5,12,15,10,5,3,2,3,0,3,15,4,6,5,4,1,15,5,11,16,10,2,13,4,8,14,8,12,14,1,11,2,7,4,2,4,2,12,6,10,8,4,3,7,13,12,0,14,1,3,11,5,12,15}

{18296,331905,58715,754963874,58809,71034,492797,707449,867556,294571152,76293,294567900,337673,1121,59010,377514,755340695,868320,87149,870073,68328,87054,87102,332095,76035,28436,707226,58843,754472950,294245556,5701,332326,76605,6883,1193,755340787,9573,87214,472,2624,867211,867506,5699,326941,59159,76408,70901,867621,627,754963835,294576569,12165,28939,6509,294576889,384440,76553,873925,76409,755335530,294200227,755254043,293709629,867960,862262,732,791806,36,406924,1221,80971,86816,58891,706834,565,236,867491,70443,872628,331674,384451,872605,6162,441,492,6361,326544,15075,294490410,5958,6920,1196705,70729,386,868484,754473064,301292,68164,290312,294577173,580,338064,809875,76666,867867,67977,872399,6161,868373,755008861,332479,9751,9749,86861,63943,868092,6315,76458,76498,10824,2603,635709067,9516,754,58677,874598,58583,294567820,80533,538,319,700,294518964,294200115,867291,81689,755264384,294571067,294570662,1198966,294199891,755335492,792064,76127,10810}

Returns: {202756614, 91820020, 23, 867194, 9236, 2, 940, 375919, 6, 58408, 1552, 866223, 49, 3, 240, 333, 24, 1, 331689, 100, 213, 32, 750992560, 4347698, 332, 75638, 104, 86744, 5614, 482, 8, 5622, 77, 4 }
{1,8520,647968,1,1,7,1,18957,4,71,3,484,1,1291537,880,5806664,9886,333,1,289368594,841914648,1,5828,312,455674,1,939352736,42044992,742259,992357,868,7,696799632,3025056,787,1,450,3,1,1,315,7005,946082,1,7,800,773391,8482,1,718532}

{24,8858,647978,108,84,23,17,19023,14,161,11,487,19,1291539,1079,5806698,9962,348,4,289368947,841914675,231,5830,476,456028,46,939352736,42044992,742291,992369,902,131,696799640,3025174,787,1,497,8,4,5,384,7008,946101,3,116,913,773402,8487,25,718692}

{967692063,3747536,4,2697386,26,1,849326,97,5,69239,849682,1,5674,1,348676,1,5481523,679311,884,1,1,593727,256150,1,6418,86056,4596983,89922148,539,4394,963572438,39762913,5319844,1,5340,79657706,37931,111023,28436762,7989,511760507,1,82351207,3633,47,82749415,4583,9890723,5917239,7774320}

{967692065,3747742,5,2697408,420,182,849573,295,27,69254,849706,179,5693,1,348705,1,5481523,679325,928,2,14,593748,256166,4,6442,86355,4597060,89922496,874,4738,963572443,39763178,5319905,4,5396,79657706,37947,111025,28436837,8012,511760530,1,82351207,3642,89,82749799,4591,9890727,5917454,7774324}

"WBWBWBWBWBBWWWBBBWBWWWBWWBBBBWBWBWBBBWBBWWBBBWWBWW"

{48,34,40,13,16,5,3,12,27,14,44,46,40,7,42,46,6,36,22,18,15,14,11,30,37,3,36,22,45,21,49,17,41,42,38,41,27,16,23,39,28,33,45,3}

{8,41,33,4,12,16,3,20,47,30,39,33,20,22,34,39,10,16,14,32,0,32,26,45,2,43,21,47,31,45,14,38,8,33,12,32,12,12,31,3,21,9,24,27}

{5917238,11614,514785323,1291561,5485719,5491388,6,841920356,122068282,963223788,7928,2256357,1353674819,269082,83291124,776811,259,5452995,97431,702118636,973498760,701769900,943949239,880823119,758981,2693802,556069,9637224,42987046,82156264,8143240,27757818,7006,84430278,28431096,702112539,131961800,5485722,39763633,2689454,1335125,3094338,83198188,129270046}

Returns: {12, 967692064, 8754, 3747639, 647969, 5, 50, 2697391, 84, 108, 17, 92, 12, 849450, 18965, 220, 14, 16, 123, 69246, 7, 849686, 486, 90, 3, 5691, 1291537, 1, 956, 348705, 5806696, 1, 9886, 5481523, 333, 679325, 1, 906, 289368771, 1, 841914648, 14, 208, 593748, 5828, 256161, 395, 3, 455839, 6421, 15, 86206, 939352736, 4596989, 42044992, 89922441, 742274, 749, 992366, 4566, 901, 963572438, 131, 39763177, 696799636, 5319873, 3025115, 3, 787, 5396, 1, 79657706, 468, 37947, 7, 111023, 2, 28436783, 4, 7997, 356, 511760512, 7005, 1, 946098, 82351207, 2, 3641, 10, 89, 802, 82749418, 773393, 4589, 8482, 9890723, 14, 5917254, 718580, 7774320 }
{9185,145,5116237,68,106967190,1,591,1,16830602,84366681,1,6879815,6705851,319106,92831357,83146036,19509,34294,6012,823138525,866251,949744390,77767,235589894,954450,560317,26599,2617,1,29948704,1,925175,1303,6937,1,1,8,1,9951,988598,650,31068712,355,270806,833542,905717305,297,44623536,1,1,96227,49034619,9228,87530266,913260}

{9215,235,5116242,75,106967194,370,619,3,16830723,84366811,23,6879825,6705940,319299,92831544,83146171,19590,34297,6014,823138548,866362,949744412,78117,235589903,955095,560356,26599,2633,4,29948706,52,925182,1310,7284,60,160,9,248,9955,988609,650,31068740,392,270987,833659,905717508,331,44623540,638,17,96377,49034648,9596,87530271,913306}

{773644,742,84587025,65,894981,97148854,90035854,58197246,63,11431,1,159163024,49,4962,1,5575111,498899,531422335,36,5250,70,53275046,6173,66482,1,12830880,5117,529,529002,599867,33558361,331,438,8,819,2821176,907,67017,63633818,836551181,7306,91721,1,1,1,1,627987,5085,42,818110930,9408988,1,356943504,6832226,3}

{773661,763,84587029,93,894989,97149278,90035854,58197430,65,11436,8,159163036,75,5309,4,5575338,499225,531422748,42,5270,162,53275058,6210,66624,19,12830900,5128,681,529046,599929,33558372,337,470,401,866,2821185,912,67142,63633826,836551227,7390,91728,47,9,54,290,628111,5091,46,818110945,9408998,31,356943582,6832270,18}

"BBWWBBWBWBWWWBBBWBWBWWBWWBBWWBBWWWBWWBBWBBWWWBWBWBBWWWW"

{43,30,49,49,24}

{5,25,17,26,9}

{97419748,21287796,286722491,818132397,83423347}

Returns: {9206, 773653, 198, 753, 5116239, 84587027, 75, 79, 106967190, 894985, 232, 97148993, 618, 90035854, 3, 58197338, 16830664, 64, 84366701, 11432, 12, 4, 6879820, 159163030, 6705900, 62, 319126, 5135, 92831452, 3, 83146058, 5575225, 19590, 499062, 34294, 531422717, 6013, 39, 823138537, 5260, 866316, 116, 949744406, 53275052, 77950, 6191, 235589901, 66553, 954789, 15, 560330, 12830895, 26599, 5128, 2621, 605, 2, 529024, 29948705, 599898, 29, 33558366, 925178, 334, 1308, 454, 7088, 204, 36, 843, 83, 2821181, 9, 909, 185, 67080, 9951, 63633822, 988608, 836551204, 650, 7389, 31068729, 91724, 370, 24, 270897, 3, 833622, 28, 905717364, 145, 325, 628049, 44623537, 5088, 320, 44, 17, 818110930, 96302, 9408993, 49034634, 16, 9423, 356943543, 87530270, 6832248, 913283, 11 }
{1,1,1,505994394,1,23869,6696}

{49,20,2,505994399,9,23908,6907}

{616652068,302312,7742,989,1,29205942,39}

{616652069,302315,7747,1109,271,29206057,133}

"WWBWWBW"

{2,1,2,0,0,4,1,0,6,1,1,5,6,6,6,3,2,6,0,6,0,1,3,0,0,6,5,3,3,0,5,6,4,1,4,3,3,1,2,1,6,0,2,0,5,0,5,2,5,5,1,6,1,5,4,5,6,5,2,0,5,5,0,0,0,6,4,3,4,6,5,6,3,4,3,4,1,4,6,1,4,2,3,2,3,5,3,0,5,2,4,0,4,0,0,5,1,3,1,4,2,2,3,1,2,3,4,6,1,5,3,3,1,6,0,3,2,2,1,0,3,6,4,6,5,2,2,1,4,3,2,3,5,4,2,0,2,2,5,2,0,0,4,6,0,5,4,6,2,4,4,2,3,5,5,3,0,4,1,1,0,5,0,6,0,1,3,6,4,3,0,4,4,6,3,6,0,0,1,4,3,2,3,6,5,2,6,2,6,2,5,2,3,4,1,5,3,6,6,3,1,2,4,6,6,0,6,6,0,4,1,1,6,4,4,3,1,4,3,1,3,5,2,1,6,1,1,1,0,2,6,0,1,0,0,4,3,0,6,1,5,2,3,5,5,6,4,1,1,1,6,2,1,3,5,0,0,0,4,5,6,3,6,2,1,1,0,6,0,0,5,4,4,4,5,3,3,4,4,6,4,4,3,6,0,2,2,2,5,4,3,6,0,5,0,6,1,1,4,0,4,2,4,1,4,3,0,3,5,6,2,1,1,0,4,0,6,0,3,3,4,5,6,6,2,5,4,5,2,4,4,1,2,2,3,1,4,3,1,6,6,2,3,0,4,0,3,3,2,2,1,3,2,6,2}

{5,1,5,0,1,5,5,0,2,2,4,5,0,5,2,2,2,6,5,1,4,6,5,1,2,5,4,0,5,5,4,4,5,2,5,1,5,5,3,5,4,0,6,1,5,4,1,4,3,4,6,4,6,3,1,2,0,1,6,6,3,4,6,4,2,3,2,1,4,3,1,0,0,6,5,3,6,2,0,1,5,4,1,3,4,4,4,2,2,6,1,5,4,4,1,5,1,6,2,5,2,1,3,1,4,2,1,1,3,6,5,3,2,4,6,3,0,6,6,4,6,6,3,2,6,3,0,5,5,4,0,3,0,3,5,5,5,0,5,0,2,5,2,1,0,1,6,6,6,3,0,3,5,6,4,0,6,4,1,6,4,5,5,1,6,2,1,5,6,3,2,2,1,6,4,2,2,2,0,5,4,6,3,5,5,6,3,4,6,3,1,1,4,0,0,5,0,0,2,5,2,5,2,0,6,0,3,2,6,3,3,5,5,1,3,4,4,0,2,4,0,2,6,4,5,4,6,6,4,0,3,4,4,6,1,6,2,0,1,3,6,2,1,3,5,6,2,5,5,3,3,3,2,2,5,5,5,2,2,6,1,3,3,2,4,4,4,3,2,6,3,3,4,5,2,2,2,5,5,3,4,5,2,2,3,3,0,3,0,6,0,3,4,2,1,3,1,4,3,6,1,0,5,2,5,6,1,6,5,5,4,5,4,1,5,6,0,3,4,0,1,2,3,3,0,1,3,3,1,5,5,3,3,0,2,1,5,4,0,5,2,5,0,3,0,5,1,4,5,4,5,3,0,0,6}

{29222106,6,29222104,7,616349759,29229841,28927531,2,14385,294580,302325,6,616658705,29223049,14386,506001156,3,2,587470032,308948,616652079,308952,535175442,616349758,616644333,29223049,29229846,1122645476,535175446,587470034,29229841,6800,29229846,294581,29229841,506295720,535175444,28927532,506001157,28927539,6799,7,14385,616349761,1,616652075,28927535,7750,535175441,29229846,308948,6797,308953,535175449,302324,29222110,616658706,28927532,14379,616658705,535175442,29229844,616658702,616652074,616644329,505988591,7756,506295726,0,505988588,28927537,616658708,1122645473,6802,535175444,505995388,308953,7753,616658706,3,29229845,7756,506295722,506001157,505995389,29229846,505995385,616644326,29222109,14385,302319,587470032,7,616652080,616349754,4,7,505988594,294576,29229848,4,294577,3,5,7754,506001154,302326,308953,506295719,29223054,535175449,6,294574,6798,616658709,3,616644325,14379,308950,616652076,505988590,2,505995388,14387,29223053,506001155,616644333,28927539,29229843,505995387,616644330,5,587470039,505995390,29222107,587470034,29222105,616644330,1,616644325,616644333,587470035,7749,308955,0,28927535,6796,0,14384,505995390,616652073,506001151,535175444,29223052,29229849,1122645479,616658706,5,1,308954,616652077,4,587470031,308949,616658704,294574,506295725,29223050,6798,4,616644330,7751,302322,3,505995385,14386,616644327,616644333,616349760,29229846,505995382,14385,4,29223049,7,14383,505988594,7757,5,506001154,28927533,294573,505995386,616652072,616349759,5,1122645475,616658704,14385,535175447,294575,29222105,7754,616658709,0,5,505988593,14383,616658702,505995385,506295724,28927537,29223055,302321,505995389,505995384,302318,616652072,506001153,302319,1122645478,29222110,14384,302324,29223049,302325,308953,308948,616652078,616644332,505988591,616652078,302323,616658704,616349758,6796,506001153,1,308949,506295723,29223053,6,506295721,535175442,2,0,7756,28927538,28927537,506295718,505988596,506001155,294576,506001154,5,587470033,587470033,616644329,7757,29223055,308953,4,505988589,2,302322,302319,616652073,505988590,616644333,616658709,535175445,505995387,1,29229848,29222109,506001150,506001151,29229847,29229841,505988590,2,29229844,506001155,14379,1122645472,506001151,616644329,506001155,587470033,6794,1122645473,505988596,616652075,29222105,616349754,505988589,4,302321,505995385,616658706,302324,616644325,29229847,294579,29229841,505988594,616349762,505988588,7,29223055,7751,28927532,302326,616349761,29229842,616658704,616658710,1122645474,505995384,1122645474,302324,29222108,505988588,505988592,616644325,28927532,505995390,535175442,294574,29229848,29229842,506295721,506001150,616644327,506001154,8,29229844,505995384,616349759,29223052,14379,29222112,1122645480,1122645478,616652074,587470038,506295719,505995390,29222108,7757,28927533,0,616644328,616658703,14387}

Returns: {6, 616652068, 7, 302315, 2, 7747, 505994397, 1045, 6, 132, 23905, 29205942, 6740, 128 }
{468494,44320,277462027}

{468494,44329,277462040}

{33,283852308,8063069}

{34,283852368,8063233}

"BWB"

{1,2,0,2,1,1,0,1,1,2,2,0,2,1,0,0,0,2,0,0,2,2,2,2,2,2,1,0,2,1,1,0,1,2,2,2,1,2,2,1,1,1,2,0}

{2,2,1,0,1,2,0,2,2,0,2,1,2,0,1,0,0,2,2,1,2,2,0,2,0,0,1,1,0,2,2,0,2,0,2,2,1,2,0,2,0,1,2,2}

{553206799,0,284276462,285056738,1,553206799,0,553206800,553206799,285056738,1,284276462,1,284276461,284276461,1,0,0,285056738,284276461,0,0,285056739,0,285056739,285056738,1,284276461,285056739,553206800,553206800,1,553206800,285056738,1,1,0,0,285056738,553206799,284276461,1,1,285056739}

Returns: {468494, 33, 44329, 283852309, 277462027, 8063208 }
{935384,563,1,329135,113535286,8180,1,3,12619}

{935432,895,12,329162,113535345,8206,67,10,12835}

{2637,5614,601985958,293,89854215,6909594,32,8960649,40022}

{3066,6095,601985967,503,89854233,6909596,78,8960772,40035}

"BBBBWWWBW"

{6}

{0}

{938204}

Returns: {935410, 2851, 655, 5854, 7, 601985962, 329159, 398, 113535318, 89854224, 8193, 6909595, 66, 78, 5, 8960710, 12730, 40028 }
{22107,71874,1,654131393,1,1,1,134430694,6710,9891241,7581933,725927,33661,1,791082282,385,7813,71601366,98,616582261,2539,75558318,34043934,94012405,7,33817,55638,7456,3749,18463221,31192,3332,315524,1,74271,1,7742,1,688728,1}

{22138,72244,33,654131394,12,4,11,134430723,6712,9891299,7581991,725978,33846,12,791082285,408,7819,71601605,100,616582267,2565,75558604,34044263,94012458,10,33867,55647,7466,3940,18463242,31207,3432,315548,10,74484,20,8124,7,688758,1}

{627520,46831,71220,81,21621,79801,621,59,9928124,5110152,3962,1,5901742,1,94245865,90,30837394,66244,1,5031103,1,14044801,52288234,959495,37332226,330750872,74189479,1801961,9626,25,1690,682762,23404,404706,16876379,72364554,3020,1,483,7377599}

{627522,47052,71221,107,21632,80042,622,83,9928141,5110652,4009,5,5901865,32,94245892,170,30838072,66566,347,5031111,8,14045362,52288283,959524,37332249,330751026,74189553,1801983,9637,28,1737,682765,23899,404776,16876597,72364554,3053,6,507,7377617}

"WWBBBWWBWBBBBBWBBWWWWWBBWBBWWBWBWWWBBBBB"

{1,24,38,15,21,10,12,29,1,5,17,37,23,0,8,6,5,31,20,38,36,27,30,36,0,34,0,37,28,29,35,34,11,28,15,39,19,5,8,12,34,33,7,32,18,33,14,19,11,2,31,10,29,17,21,25,35,9,37,33,15,39,25,15,30,16,13,38,17,23,26,1,30,2,6,13,8,27,30,33,22,9,7,0,6,32,13,9,21,9,24,21,25,3,4,13,7,30,3,5,28,1,32,2,2,39,15,5,30,0,14,38,32,15,34,18,22,7,2,24,29,13,23,35,4,5,21,7,13}

{8,19,17,24,1,24,36,30,34,17,36,34,27,30,36,31,4,22,23,17,6,4,31,6,6,3,13,12,31,32,29,32,30,1,29,30,22,26,28,12,8,29,35,11,8,12,11,29,12,35,31,15,30,6,22,33,14,9,12,18,3,36,33,29,22,18,36,6,38,27,29,10,38,30,9,29,17,29,22,15,26,37,0,22,21,29,14,35,35,34,2,21,36,1,20,6,3,6,0,1,34,8,6,5,34,20,38,8,8,18,34,7,30,34,13,4,16,26,20,31,20,24,37,20,20,18,25,20,22}

{9946448,648883406,70978827,37332465,89484686,44910212,5924295,18433691,16832163,71614970,71656876,16950890,94847434,634913,9926476,685520,58180,85646060,94969426,70978826,10542,1787792,708903,10547,649031,670933225,649646,5935446,673535,18171538,90827744,17093586,696442,105328,18462978,7407127,629795459,74165394,9921426,3,7016067,18867961,206795210,434291,9934736,5530676,884602227,603150132,6594010,72293344,5,7585344,18433692,71667414,79757598,330380119,812963615,1,5935447,404861,654131081,7382671,330380116,18462981,86299308,30845487,11162,688871,70978826,94847427,92597106,7552951,658739,100730,15000985,18463247,81456583,20257703,86299310,404977,55889608,15001598,135036064,85682555,89602797,18171543,885328171,77145487,133877844,21582869,37261041,1,330773736,654106275,24163,626,519700712,32268,654736697,104824,16937491,9946445,338816,8583,16879683,7380155,688662,9855034,9950924,649552,868377280,133742412,306547,16950349,16950892,21729,55486618,208564567,73755,36652845,18460704,37332255,94971964,72367080,24160,79898,392230466,134428249,86332195}

Returns: {22130, 627522, 71888, 46876, 6, 71221, 654131393, 106, 3, 21630, 4, 79802, 10, 622, 134430710, 77, 6710, 9928124, 9891241, 5110370, 7581933, 3988, 725934, 5, 33665, 5901746, 12, 31, 791082282, 94245866, 407, 170, 7819, 30837736, 71601369, 66421, 100, 174, 616582262, 5031110, 2540, 8, 75558318, 14045074, 34043935, 52288234, 94012427, 959522, 10, 37332226, 33817, 330750872, 55643, 74189494, 7463, 1801961, 3799, 9637, 18463221, 28, 31201, 1699, 3389, 682762, 315524, 23838, 8, 404748, 74484, 16876384, 13, 72364554, 8074, 3051, 7, 6, 688730, 505, 1, 7377600 }
{1,21988941,1}

{245,21989020,1}

{326542,5470,1444790}

{326554,5471,1444845}

"WWW"

{2,1,1,2,2,0,0,1,1,1,0,2,2,0,2,0,1,0,1,0,2,2,1,0,1,2,2,2,0,2,0,2,2,0,0,1,1,0,2,1,2,0,2,0,1,0}

{1,2,1,2,2,2,2,0,2,0,2,1,1,1,0,0,1,2,0,1,0,0,1,0,2,1,2,1,2,2,1,1,2,2,1,0,0,1,1,2,0,1,2,2,2,1}

{23428306,23428304,29,5,4,1118328,1118322,22310034,23428347,22310048,1118293,23428336,23428324,22310077,1118316,51,3,1118308,22310078,22310036,1118276,1118280,10,34,23428319,23428300,13,23428318,1118287,41,22310058,23428309,55,1118323,22310051,22310049,22310040,22310081,23428341,23428333,1118302,22310069,16,1118290,23428344,22310047}

Returns: {40, 326554, 21988980, 5470, 1, 1444791 }
{762515,6103,62469,1,758242,783,164929,462765,26812724,9859978,1,16259,98,938587565,6,5481149,492966,2758,1,594,428939,1,1,1,1519188,8394,52984,2169865,1,766,90045243,388,606738280,958,2940,97619226,8,569724,968372668,44501054,10521,7632927,389769932,6462879,81050548,118,232070,47855,1,15472142,3,1,693921852,125579,1,8257204,14744502,7382608,9,879500,448262,73824}

{762690,6114,62729,3,758288,804,165413,462796,26812725,9859996,91,16287,99,938587602,93,5481156,493131,2758,232,600,428954,18,9,1,1519236,8433,53347,2169875,5,774,90045277,709,606738304,975,2943,97619232,22,569845,968372769,44501244,10693,7632968,389769984,6462899,81050569,148,232094,47855,119,15472335,92,10,693921859,125684,3,8257214,14744530,7382614,11,879637,448322,74001}

{98,57972797,1,1,1,5791,12,75206840,936389732,826408,172527,1,727442597,380413128,5145458,96041713,74312,559655,2828,16,1,53129714,1,901,908769,903363720,1,576164,89597802,213394,1,2986,1,85,269979586,33,1,294,198729491,4032,2530,48,115268,1,656956,55034544,1619,1263,910747743,4941609,7910,292791,6421,124,535,4479,532,103934,1,150216,1813324,7}

{100,57972817,125,1,23,5998,337,75206870,936389854,826423,172782,6,727442601,380413361,5145492,96041726,74324,559656,2864,280,324,53129881,15,910,908791,903363721,45,576435,89597807,213460,56,3000,32,89,269979600,64,188,389,198729492,4049,2536,109,115406,10,656956,55034560,1633,1285,910748233,4941611,7922,292814,6550,128,538,4940,550,103970,9,150265,1813351,7}

"BWBWBBBBWBWWBWBBWBBBWBWWBWWWWWWWWWWWWWWWWBWWBBWBWWBBBBBWWBWWWB"

{1,24,24}

{24,9,13}

{58577125,8423148,1316572775}

Returns: {762602, 99, 6114, 57972798, 62656, 63, 3, 1, 758275, 12, 785, 5894, 165250, 175, 462780, 75206855, 26812725, 936389793, 9859979, 826422, 38, 172654, 16274, 4, 98, 727442599, 938587572, 380413218, 58, 5145475, 5481150, 96041719, 493052, 74318, 2758, 559655, 127, 2846, 599, 148, 428943, 163, 3, 53129798, 2, 8, 1, 909, 1519232, 908791, 8414, 903363720, 53183, 23, 2169870, 576300, 3, 89597805, 773, 213427, 90045250, 28, 549, 2993, 606738289, 17, 969, 87, 2943, 269979593, 97619229, 49, 13, 95, 569797, 341, 968372719, 198729491, 44501150, 4040, 10609, 2533, 7632938, 79, 389769949, 115337, 6462893, 5, 81050569, 656956, 139, 55034552, 232086, 1626, 47855, 1284, 110, 910747988, 15472240, 4941610, 49, 7916, 3, 292802, 693921853, 6486, 125633, 126, 2, 537, 8257204, 4710, 14744521, 541, 7382609, 103952, 11, 5, 879574, 150240, 448303, 1813337, 74000, 7 }
{580645590,799,1,1,89365881,32464,2473357,60326,9035,856907424,60571,3371,335843,1,377221591,630734370,9858945,170,839443342,785321,432159,107,31742082,98642,67483558,53,1,545,8198860,1,1,913576751,2237,8409303,1,5163,1,936697,1,647229417,420,1,48131,6354,1,1,1,828,9692,1,15,14988,4005881,776155057,1,81302846,224644336,213,1,992572,36545368,8755691,25,2686898,588642258,641785,77944701,833,3811424,65688,1,1,740,59735,81187,958,10844,71593,1,5533898,405077740,1,9,843978,50,9234,588188936,35,1936,419,1}

{580645593,801,6,3,89365882,32619,2473364,60344,9274,856907433,60571,3377,335865,4,377221757,630734396,9859179,199,839443550,785338,432300,120,31742334,98653,67483620,76,121,546,8198931,24,212,913576754,2593,8409541,21,5216,6,936704,12,647229518,420,123,48298,6408,28,46,1,832,9724,8,23,15248,4005884,776155263,3,81302913,224644531,231,76,992585,36545372,8755905,56,2686909,588642284,641789,77944857,861,3811425,65821,2,17,742,60084,81376,959,11021,71613,8,5533937,405077876,9,35,844218,52,9238,588189086,377,2055,460,55}

{10527,1,770805,5088235,5821763,9591310,21249,40,2623,32955,2123710,95264,57912,20600,79694005,1,808706,760,724,1,1,70760,6218165,1,489747904,1,1,52080,5512,176924,99176881,46,9939268,7,1,1,7368047,8407,61401,508385409,1,29,5434117,1,259,9,63078,406492777,163246999,7,4,94,1,451193,49719411,5,5995,2715,2050363,340046749,1,1,1,562569,1,45197974,47219567,6576,19971957,14350,1991,651,75,79283,6167,42320207,7,861392528,7816,86949147,605061175,232,1,1,65166539,776491561,9648,3553165,8167,898847908,1}

{10661,42,770904,5088240,5821786,9591575,21272,45,2748,32995,2123726,95293,58034,20719,79694323,208,808708,770,728,19,3,70802,6218243,339,489748103,2,6,52170,5535,176939,99176892,234,9939427,9,8,95,7368048,8502,61468,508385690,5,32,5434148,9,264,32,63095,406492819,163247009,14,6,95,172,451483,49719586,107,6023,2733,2050396,340046869,2,46,44,562573,53,45197981,47219595,6664,19972285,14370,2044,799,84,79306,6173,42320478,39,861392624,7823,86949155,605061180,560,6,2,65166542,776491857,9692,3553316,8690,898847921,98}

"WWBWWBWWWBBBWWBBBWWWWBWBWWWWBWBBBBBBWWWWWBBWBBWWBBBBBBWWWBBBBBBBWBBWBWWWBBBBWBWWWWWWBBBBWBW"

{13,27,2,84,13,73,43,19,38,26,44,60,33,53,41,16,16,24,37,24,41,81,27,9,19,71,31,61,26,72,26,84,76,39}

{10,60,75,32,55,58,47,5,36,53,16,53,42,21,34,47,86,62,48,69,58,22,61,27,89,1,46,5,70,88,21,40,75,45}

{2163583,36596998,41550266,55229695,81323561,2031062,406498327,10344016,7306653,776606260,10667370,740060884,13795152,776535348,90,415542193,579129063,557231688,164165504,557151669,2050364,37959934,8807322,856926066,899632826,1579,913639793,18314390,2022,9420,70912,65166906,42330136,1155615101}

Returns: {580645592, 10594, 801, 21, 6, 770903, 1, 5088237, 89365881, 5821775, 32619, 9591310, 2473361, 21261, 60336, 42, 9211, 2685, 856907425, 32982, 60571, 2123710, 3375, 95278, 335849, 57973, 4, 20694, 377221599, 79694164, 630734395, 104, 9858954, 808707, 185, 765, 839443448, 726, 785321, 19, 432230, 2, 119, 70800, 31742083, 6218165, 98645, 170, 67483595, 489748003, 65, 1, 9, 5, 545, 52123, 8198896, 5523, 16, 176932, 107, 99176886, 913576751, 140, 2476, 9939347, 8409342, 9, 21, 8, 5169, 48, 4, 7368048, 936697, 8469, 1, 61435, 647229456, 508385550, 420, 4, 60, 31, 48298, 5434117, 6362, 6, 27, 264, 34, 21, 1, 63087, 832, 406492778, 9724, 163246999, 5, 10, 20, 5, 15118, 95, 4005883, 86, 776155057, 451194, 2, 49719498, 81302862, 56, 224644435, 6009, 223, 2724, 60, 2050365, 992578, 340046809, 36545371, 2, 8755735, 36, 35, 22, 2686904, 562571, 588642259, 27, 641786, 45197977, 77944786, 47219581, 848, 6620, 3811424, 19972121, 65758, 14360, 2, 2008, 7, 725, 742, 83, 59911, 79294, 81283, 6170, 958, 42320217, 10845, 39, 71605, 861392576, 5, 7819, 5533919, 86949151, 405077808, 605061178, 6, 398, 22, 4, 844098, 2, 51, 65166540, 9234, 776491709, 588188991, 9692, 262, 3553241, 1938, 8304, 440, 898847915, 7, 49 }
{5549753,40516162}

{5549914,40516170}

{910448,72687}

{910455,72793}

"WB"

{0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0}

{1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,1}

{35804473,35804259,35804620,35804303,35804841,28,35804172,28,35804420,35804543,135,606,725,449,171,35804679,767,35804761,35804561,35804079,35804766,190,35804716,35804700,299,34,35804154,480,526,178,453,35804156,35804460,35804123,454,35804202,746,35804252,617,35804525,35804453,35804189,35804792,426,285,95,35804183,529,392,428,87,35804269,725,35804273,35804353,35804198,427,412,35804429,35804664,35804300,35804767,114,63,35804218,35804317,35804582,35804629,35804847,35804548,439,584,200,35804091,126,454,35804755,386,35804309,35804517,294,35804560,35804764,538,35804357,35804800,35804183,35804549,35804317,594,35804643,167,430,213,634,35804419,35804658,480,35804488,205,254,35804427,35804842,35804537,701,248,35804687,366,35804213,455,35804432,279,35804286,35804754,35804715,338,35804354,351,257,35804260,447,522,35804176,35804406,234,35804818,538,35804448,134,658,35804145,515,389,35804480,618,303,611,204,753,35804683,35804462,38,35804482,682,377,35804539,506,35804790,122,64,732,35804468,280,647,246,551,35804759,580,113,35804357,35804689,35804792,499,561,35804574,111,35804315,35804262,455,138,155,35804301,35804843,760,668,35804520,35804347,160,707,35804412,35804315,35804232,35804379,168,35804718,770,35804441,35804208,273,35804173,35804176,35804459,35804728,580,35804834,35804795,35804413,35804588,35804639,204,371,35804725,35804209,35804433,35804843,35804580,35804486,35804129,35804654,330,143,378,751,528,35804831,214,35804087,464,35804082,35804077,280,35804264}

Returns: {5549834, 910452, 40516166, 72741 }
{25,45900,593,6986,1,92243495,6285605,8590878,118,512105066,1,8658480,6712,1,9,408623,4100418,49087130,1,167576713,73155,1,518,1,6,8152,123677,9138,1,3,1,1,3,809676619,103327064,173690675,66971881,1,882,68,1,9646448,224208164,1,805543,1,3395944,1,33912160,1,3071,634567,647,2502,56602,1,9688816,237076,61628359,495833505,701,1,6085983,898,1,80121025,827,1,710,1,867275,647399,1,17323929,1,77201,13,85,6364,548118513,1,8634,37,76,26806396,312401,1,759412,3,51095,85,27193810,275816414,82,1,437,849031685}

{31,45925,621,7110,229,92243510,6285666,8590886,199,512105165,7,8658489,6734,23,24,408626,4100456,49087149,352,167576747,73320,364,541,47,28,8309,123702,9293,14,137,3,91,6,809676909,103327071,173690975,66971921,26,920,68,72,9646471,224208201,5,805546,80,3396184,102,33912167,14,3109,634567,662,2505,56662,85,9688820,237077,61628496,495833534,744,13,6086013,903,3,80121121,853,8,729,2,867285,647576,84,17323950,7,77236,14,123,6503,548118787,101,8641,43,99,26806435,312413,2,759685,5,51125,151,27194084,275816482,97,92,443,849031845}

{1,378587,3454,44,76,6,3930,1,8,8000468,3498252,75695,165,16342904,73307,334528937,7408393,20,996126579,430982363,1,51685734,1,44928,513,443951,2296944,1,289788,1,21,1,4412646,87119026,478,2296,72123977,120120404,58907,78,210226916,2246,8357082,958,50,33,9760,8924293,3413250,156419,753966,7,2178354,616232,136636,4409844,717,1,8858890,5,13460,726799788,82,861,954186,5,1,95,1,3382698,64071,279797569,973088978,698612,1,8790462,928,16456,691,1484205,76234819,1,6387,141552,29090,1,41896269,48,8770016,87332,8053444,720,595680590,659614578,82,711827,97035356}

{149,378699,3480,45,114,31,4261,1,130,8000491,3498286,75764,217,16343107,73357,334528985,7408563,26,996126603,430982387,48,51685961,7,44938,687,444033,2296967,7,289789,22,35,2,4412650,87119035,482,2337,72124086,120120428,58983,91,210226933,2249,8357145,961,63,34,9785,8924321,3413286,156422,754026,20,2178754,616267,136637,4410043,809,203,8858895,120,13695,726799791,141,876,954329,40,19,97,55,3382715,64089,279797577,973088994,698637,1,8790463,982,16457,729,1484207,76234839,1,6587,141591,29094,1,41896274,51,8770212,87390,8053449,727,595680757,659614956,270,711831,97035361}

"BBWBBWBBWWWWBBBWBBBWBWWWWWWBWWBBBWWWBBWWWBBWBBBBBBWWWBBWWWWBWWWWBWWWWBBBBWBBWBBBWBWBWWBBBWWBWBBWW"

{19,52,84,56,36,72,18,35,4,54,96,80,28,35,1,77,91,28,65,55,86,34,6,66,2,62,54,73,46,57,26,66,24,95,7,14,12,37,69,3,7,78,3,10,58,23,34,48,63,29,6,91,64,71,17,5,83,17,62,54,15,50,91,21,42,14,90,49,6,94,25,41,61,78,36,39,24,56,17,51,76,23,87,86,73,24,46,60,37,77,52,16,24,8,0,93,88,95,7,69,95,25,20,96,41,91,81,2,80,15,41,66,25,60,4,37,45,94,25,34,77,95,82,31,92,33,82,43,57,38,79,27,59,77,63,67,88,27,58,57,48,14,8,90,15,85,5,91,75,91,43,60,50,87,3,90,39,63,59,80,29,67,2,55,0,29,43,94,47,6,74,87,43,5,90,39,18,72,82,3,50,71,47,17,7,67,37,48,32,69,61,72,61,95,13,28,78,89,62,19,7,10,8,87,16,1,96,38,93,84,24,74,75,6,43,16,85,63,16,17,25,49,64,25,49,93,59,58,8,6,11,46,50,78,71,51,8,74,35,89,78,94,25,20,11,18,0,9,29,5,47,61,11,36,30,87,34,78,23,38,54,27,57,90,72,9,2,38,29,33,64,85,82,35,81,90,74,16,8,15,4,37,26,28,12,65,33,65,68,55,87,69,86,14,51,3,0,74,76,14,55,23,78,21,54,18,64,73,15,68,28,21,18,84,57,94,74,81,85,58,61,10,84,43,80,15,85,27,31,31,62,50,0,49,59,94,17,41,7,95,76,51,75,0,63,38,86,64,59,38,28,24,14,22,13,18,42,37,52,85,49,36,94,50,83,55,33,15,44,77,73,41,69,56,92,21,92,5,61,42,21,61,6,82,62,55,92,1,96,1,35,89,19,85,40,96,81,19,30,22,6,89,15,3,69,12,21,24,18,75,91,89,53,90,77,40,93,84,73,1,18,38,94,73,29,48,77,88,93,23,12,80,42,8,50,80,34,93,40,15,88,92,51,36,59,57,43,2,78,58,9,66,6,10,71,61,63,84,19,5,56,90,68,13,28,13,84,46,13,60,87,64,12,95}

{0,19,82,40,50,74,19,73,44,84,39,52,47,26,77,73,61,31,79,74,8,93,23,43,58,91,87,67,54,85,3,54,19,46,72,63,84,4,7,11,5,84,18,3,7,6,44,45,14,7,70,54,50,26,3,85,47,44,1,80,94,47,40,32,24,83,14,96,12,73,37,51,21,46,4,7,60,74,59,39,27,37,89,79,38,74,80,46,51,79,29,50,35,18,61,69,5,34,52,28,49,49,21,29,40,44,28,3,3,79,11,78,67,77,77,52,15,90,56,61,20,11,50,83,14,3,20,75,68,96,41,37,60,67,92,83,60,67,84,95,49,38,81,32,28,38,6,14,80,10,66,67,11,9,62,85,55,56,50,51,40,29,35,19,69,14,49,38,15,26,86,82,66,67,21,35,49,34,28,30,0,74,72,43,0,57,72,16,4,77,9,27,46,33,87,37,11,78,4,53,33,69,0,87,1,39,62,80,93,8,2,36,84,29,5,17,15,48,94,89,57,90,5,7,67,68,56,51,16,53,90,90,33,81,49,46,82,13,0,87,20,20,76,25,19,63,82,61,64,68,44,60,73,31,91,85,81,25,96,50,66,16,54,5,54,61,74,63,80,70,54,60,49,40,75,56,91,91,44,12,32,95,89,59,52,73,74,34,20,23,43,87,27,63,77,92,9,11,3,92,47,61,14,29,55,68,2,68,11,33,87,47,39,54,92,85,25,70,71,17,91,52,42,92,49,40,96,41,75,88,40,76,1,58,84,63,55,64,13,50,32,90,60,60,60,12,71,52,63,5,52,28,50,25,58,87,25,78,19,60,19,53,25,20,47,69,46,73,86,76,91,87,73,21,27,62,62,21,76,42,65,47,35,10,46,20,96,82,74,60,69,86,58,89,18,71,69,87,32,5,79,13,10,90,44,5,29,32,54,82,69,9,52,15,57,25,61,38,55,93,69,23,22,9,46,90,6,3,32,80,54,83,13,88,82,13,39,68,66,68,71,34,85,57,80,92,41,47,67,5,43,76,12,50,70,67,51,45,19,77,28,26,81,20,59,35,2,2,67,42,74,56,18,0}

{598559132,596379811,26828882,219914967,138338912,973089034,732720943,157063116,805415,26857286,946067037,74056814,8634553,175861671,408060,18006018,753992912,289870,469481902,4410128,41896421,762941475,6326549,1804,70483186,21108488,839387,18022470,3466294,75337,2413551,192471,598558478,4097707,981679876,73391,26828597,120120574,11973610,8727132,83652649,26828455,996133626,3505321,61896427,6326542,102521946,37325414,73383,8590899,5478458,27273082,203486,278024552,49080112,91931132,8782849,48281649,6418704,76154880,334937382,8173463,237420061,47273408,232564626,68324,7980186,945910775,6282746,18022369,119684692,9014160,675113914,3398797,139095664,8590916,13742,9689662,446746396,634585,10211,120075574,795666,588530853,17962665,714,79621169,3399315,120754996,549586445,2179347,10751819,173692304,996126763,726799820,656232361,101013730,104037993,10768949,3092959,555845,295879,51759053,946067191,219871183,26388939,298458,9918,76241901,880754910,1061481,6254,452207,3392,16518,117942394,334937542,8053358,10123820,830126381,89573,9294141,750489,141622,871423896,896788583,79707,8866705,236417,946007293,539954281,120129718,495846528,16448,871495493,141573,8757259,9405,43651809,948469,37169024,15324,8518,3640902,334647786,370461,85961869,27266467,67521608,30691395,1804,14315,9333627,519346135,6078965,8365778,4409991,9688012,496584372,76869408,210226959,131,173691311,594149030,3382742,73393,155473,59731,326013267,8454925,41896301,765944,1787,92243595,43632532,173692870,995970215,1076415581,283253,7120,757066,280445183,964164709,49088086,8590878,237189,852968584,33806973,4412792,3366350,1230904448,973098257,730186104,896083425,17102277,119830659,8727162,131489,6085830,597940396,888204823,115594,155,12,11084315,424448,939981108,76176823,2,26835339,3404,139096015,35490604,6289643,92244484,52395175,334625190,37323675,11508747,49123388,672871,7897124,93197834,9026679,156359,659615557,486145506,69852723,11508754,6895405,16636113,11439671,896038616,3004,280288747,2771275,6687,16342926,173692978,795650,67511,73215,451385,508956,589824944,996126647,6613,1230904468,954359,92242822,9729814,726786800,9288363,139095916,27194544,447075,103318938,445240,946022192,697233,192500,11499613,317073,100296887,973008997,1230904468,4083,58124,76234868,895864333,874385,325412,149912,383915367,8859059,17741381,27194561,30501163,805450,334930671,4412761,119409076,2282129,496123289,2184589,63495809,896795683,23206471,72509,4365160,760359,4142117,41905587,73392,650970,871490149,520105590,8734240,7961,871423907,4514379,726754921,79015,51686048,4329981,996127281,951475,18021783,342703083,896794930,1049186,42761757,996126613,26857284,871260160,312446,452306,922746,280132743,21400144,753992895,1320261,205729833,871496278,76078450,124710637,945754775,9639455,8867590,8770304,216312861,756142,424568,70330846,469056221,1625,53497049,10598541,24933775,44849,4411746,8687938,8853268,14390,13049,64603,238548887,1225059,495833503,92301567,1889556,289127,683727,451767,69112396,996885999,232113055,120126102,596379795,325425,598402715,138477233,452145,824038,8782833,1027399,893389882,350745642,42701769,15617,10567794,8889265,20008037,61373909,871487966,57771810,865411190,143929375,726798895,36,131807027,717875520,167406810,3491773,2699629,4483129,1071860732,418005,946067155,410221,177071128,41860017,528071872,348685,785899703,1031146447,3391346,597799659,4412635,92243013,543313369,16306640,331439286,8060428,4188211,92236995,51686063,4411989,996046646,8861084,30575837,519967133,1564313,326884063,253486,209791198,67184932,26835377,21035286,659282095,992743894,14919,547,502083079,3405861,38552284,6298039,8777270,655202420,76189967,186421,76093370,232193995,8770365,750504,59891975,103327438,659615572,210227774,334936792,271674937,768169698,322182,138858956,572068335,871260187,9647763,8921419,6981,39474023,520104675,1750,6282753,2747426,279953240,726799706,634571,26835493,23,92259864,9977796,5880136,7963,16416061,496123283,190031288,26831411,3401779,16342846,232550944,759517,10642354,996133138,712257}

Returns: {31, 24, 45900, 378651, 619, 3471, 7064, 45, 211, 114, 92243495, 31, 6285631, 3986, 8590884, 1, 157, 41, 512105109, 8000481, 7, 3498267, 8658481, 75741, 6732, 215, 23, 16342904, 23, 73338, 408623, 334528937, 4100418, 7408393, 49087131, 26, 16, 996126579, 167576713, 430982363, 73155, 48, 92, 51685954, 519, 7, 47, 44937, 27, 687, 8271, 443989, 123678, 2296944, 9236, 7, 14, 289788, 64, 22, 3, 34, 71, 2, 6, 4412649, 809676620, 87119026, 103327064, 478, 173690686, 2314, 66971881, 72123978, 26, 120120405, 920, 58968, 68, 90, 72, 210226932, 9646448, 2249, 224208175, 8357124, 5, 959, 805546, 63, 41, 34, 3396067, 9784, 38, 8924305, 33912160, 3413271, 14, 156419, 3082, 753966, 634567, 17, 647, 2178649, 2504, 616245, 56661, 136636, 67, 4409979, 9688816, 806, 237077, 13, 61628376, 8858890, 495833505, 48, 718, 13694, 12, 726799788, 6085983, 83, 903, 875, 1, 954258, 80121078, 22, 827, 19, 8, 96, 729, 55, 2, 3382703, 867276, 64089, 647516, 279797569, 37, 973088978, 17323938, 698614, 6, 1, 77201, 8790462, 13, 939, 94, 16457, 6383, 702, 548118651, 1484206, 51, 76234819, 8634, 1, 41, 6563, 76, 141553, 26806396, 29090, 312401, 1, 2, 41896269, 759429, 48, 5, 8770144, 51122, 87372, 99, 8053445, 27193811, 726, 275816429, 595680673, 82, 659614927, 92, 125, 443, 711827, 849031685, 97035361 }
{4,3284,4267,9,1}

{37,3364,4268,98,16}

{1,6,4721511,13414,100403210}

{36,11,4721831,13419,100403307}

"BBWBB"

{2,0,3,0}

{0,4,3,2}

{4725780,100403300,10,4725783}

Returns: {37, 36, 3326, 9, 4267, 4721585, 55, 13416, 4, 100403259 }
{5417,1,1,1,269378007,163,8527,557,719504,62914,20363,52934,77536147,3727320,1,9994778,1,1,57744,3809867,1,3203,8,22672506,19000014,1,3884131,1,30,43,1,154493,178971690,4638,34,50689879,18294654,104555840,7,1271556,6077,1775,1,98743,5,8874636,1,57555,22976447}

{5453,282,107,20,269378023,174,8552,795,719946,63053,20367,52938,77536176,3727379,3,9994803,4,6,57752,3809875,44,3331,12,22672510,19000266,116,3884131,104,302,48,317,154705,178971691,4639,97,50689889,18295123,104555920,74,1271645,6093,2193,212,98765,21,8874783,5,57558,22976449}

{5299830,125564381,687291,70213,538692,94,9691,5,635474733,484,18060,1,871,1,2844,1,8002,34193,816954545,958,135253958,18,1,497530239,848436,85,1,1461,2804,523832585,7,498827,4736,1,286158,743,563221661,94995,4414728,9,15855508,273,2154,8,1,2263,2552791,63286,49022625}

{5300115,125564394,687296,70366,538907,114,9697,214,635474739,486,18105,71,878,324,2874,14,8395,34205,816954559,988,135254333,482,111,497530476,848455,124,103,1507,2810,523832599,9,499152,5079,44,286170,774,563221706,95038,4414741,19,15855516,273,2156,129,116,2263,2552813,63391,49022771}

"BWBBWWBWBBBBBWWBBBBBBWWBBWWWWBWWWBBBBWBBWBWWWWWWW"

{33,1,9}

{2,34,31}

{691802,125278276,589928}

Returns: {5451, 5299972, 145, 125564387, 106, 687291, 20, 70289, 269378012, 538800, 164, 104, 8543, 9694, 690, 110, 719727, 635474736, 62986, 485, 20365, 18082, 52935, 36, 77536165, 874, 3727336, 162, 1, 2859, 9994796, 7, 2, 8199, 2, 34199, 57745, 816954552, 3809874, 973, 29, 135254146, 3306, 250, 10, 56, 22672508, 497530357, 19000142, 848445, 60, 104, 3884131, 103, 70, 1484, 167, 2807, 45, 523832592, 160, 8, 154495, 498835, 178971690, 4908, 4638, 31, 97, 286170, 50689884, 759, 18294902, 563221683, 104555898, 95016, 41, 4414734, 1271601, 14, 6088, 15855512, 2192, 273, 107, 2155, 98749, 69, 14, 58, 8874783, 2263, 2, 2552802, 57556, 63338, 22976448, 49022698 }
{36}

{42}

{32}

{284}

"W"

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: {36, 158 }
{20,15951880,4488434,5909153,6508,95730,6,863937,6325436,34134221,397770,482,4087,7,44891065,32645769,1,395,1,1,228,6122,100522,5270316,96282,37481434,1,1652954,5701451,1,81517862,700932,7,45656655,92363703,74613389,875694853,55645,98163,93,299292133,408521878,9591,9519,1,9430,94,31,1,883212474,716827503,51678872,1,122463688,42617129,763924,1,79899140,26171400,13284706,1,7614,17728077,31853514,1816475,6,753536,1,959771,112632,331025,48,8530939,1,21129710,389957,1,22282402,1809324,1,71263879,4089376,9,43,237627,1,869,436201,691,1,9442,5075,6398,8866}

{401,15951884,4488438,5909165,6889,95732,9,863946,6325697,34134395,397783,487,4207,93,44891269,32645788,91,400,14,23,260,6330,100530,5270414,96307,37481720,20,1652962,5701454,1,81518011,700961,50,45656669,92363715,74613393,875694855,55645,98365,149,299292160,408521966,9906,9807,3,9461,134,31,1,883212477,716827514,51679039,515,122463705,42617146,763926,32,79899235,26171503,13284857,34,7618,17728325,31853516,1816806,25,753550,27,959843,112634,331043,52,8531080,172,21129888,390097,58,22282768,1809328,7,71263884,4089799,9,67,237631,112,895,436212,1018,1,9713,5086,6399,9174}

{122409865,42201933,8524312,31278359,51990926,4592,8,8372319,726,2531,52,4,77363439,851,1372849,57622,96837092,62,85412,316,176113,1,90989434,51290,1,425715935,157504,339,592,701047704,34079192,1,424,7843,7470,419185,835,249204,1,13376576,40917760,94508,132,163,219,8991066,375840980,221099,23,7,278804,251,6187771,645085,4,132,9742940,529157646,2,111169075,1,29095,34259784,1,35,482,1,406720,13,613,190645,1,788,81014,5235,1687,848,709461828,1,73346461,94646596,1,20,2,12286,42285404,87505,6,47,390930,741826610,744617,1,1}

{122409867,42201945,8524316,31278390,51990992,4595,22,8372632,738,2531,82,241,77363517,852,1372871,57623,96837135,67,85442,316,176118,1,90989555,51312,1,425715972,157633,409,596,701047706,34079193,51,430,7978,7499,419314,847,249306,1,13376703,40917780,94522,138,170,356,8991090,375841022,221300,443,40,278811,251,6187808,645257,18,227,9742943,529157666,302,111169093,2,29109,34259818,10,39,554,1,406782,13,968,190682,5,790,81041,5520,1951,873,709461999,12,73346465,94646599,17,350,48,12286,42285478,87531,40,72,390959,741826627,744627,3,7}

"WWBWBWWBBBBWWWWBWBBBWWBBBBWWBBWBWWWWWWBWWBBBWBWBWBWWWBBWBBWBWBWBBWWBWBWBBBWBBBWBWWWBBWBWWWBWBW"

{19,34,70,10,6,78,14,49,83,57,77,20,73,25,76,43,86,39,60,90,37,81,31,73,7,33,16,47,64,46,83,84,49,4,82,59,90,28,57,38,92,12,20,0,2,90,60,26,55,80,67,21,81,43,85,90,20,66,80,7,14,50,10,11,70,68,85,71,55,30,3,2,20,69,82,69,87,4,13,79,51,49,77,16,10,37,30,8,6,74,38,83,17,15,43,69,68,47,68,75,20,12,65}

{50,16,78,65,93,93,39,15,52,82,46,90,0,73,54,31,57,45,54,25,6,59,87,14,62,86,86,51,24,28,66,73,3,91,1,15,10,29,93,21,22,2,80,50,6,30,82,10,75,84,38,14,54,85,31,51,85,71,29,28,77,4,33,62,85,53,81,8,78,13,20,44,14,41,25,64,87,57,37,78,23,78,76,27,61,9,35,53,22,81,50,35,18,55,68,36,22,54,6,4,47,85,25}

{717106078,189193361,1668974,398246,8907,1800527,56894857,850624429,6187903,609056546,355903355,741659876,122328948,463116464,42618073,691293,608968427,4395032,42617151,353582717,304915,120364549,264817,46182933,42751458,45735369,96750545,51899875,1720292,381541782,753496,306499,908581832,51248239,58153558,130472612,742214904,706748656,609048005,92327,91083788,73323534,165734155,838958668,13012800,789255916,362,555376,375497,165660648,505140,46257831,38527843,42295070,42986391,793495941,42109571,753528,677665082,13209609,730697607,768532871,45266828,51987519,42425816,122148986,46374837,6326418,1045642,115596240,37011188,13012667,46087567,408502888,463197135,1704819,82,557059049,304106,75155856,46459777,881403188,731743620,98489687,419279,34325340,40564501,116782396,91090093,17046105,717008052,75032714,85801,31939368,950210,875582442,91848938,42838261,959966,52372408,45274,35082321,463196991}

Returns: {212, 122409866, 15951883, 42201937, 4488435, 8524316, 5909156, 31278374, 6828, 51990945, 95731, 4593, 7, 11, 863940, 8372493, 6325639, 738, 34134222, 2531, 397774, 69, 485, 123, 4168, 77363478, 60, 852, 44891088, 1372854, 32645779, 57622, 66, 96837114, 398, 65, 2, 85427, 23, 316, 260, 176118, 6329, 1, 100526, 90989495, 5270372, 51301, 96306, 1, 37481542, 425715943, 8, 157568, 1652959, 375, 5701451, 596, 1, 701047706, 81517937, 34079193, 700932, 51, 29, 427, 45656659, 7917, 92363705, 7485, 74613392, 419286, 875694854, 838, 55645, 249205, 98360, 1, 130, 13376610, 299292150, 40917770, 408521879, 94508, 9750, 135, 9752, 163, 3, 287, 9449, 8991078, 134, 375841022, 31, 221118, 1, 443, 883212475, 24, 716827503, 278811, 51678873, 251, 225, 6187771, 122463688, 645085, 42617137, 10, 763926, 184, 18, 9742941, 79899148, 529157653, 26171446, 152, 13284787, 111169084, 18, 2, 7617, 29102, 17728078, 34259784, 31853516, 5, 1816564, 35, 18, 546, 753537, 1, 6, 406751, 959775, 13, 112634, 865, 331034, 190672, 50, 3, 8531010, 789, 172, 81041, 21129746, 5378, 390093, 1806, 55, 870, 22282619, 709461850, 1809325, 7, 4, 73346463, 71263882, 94646598, 4089561, 17, 9, 343, 67, 26, 237631, 12286, 112, 42285404, 894, 87507, 436207, 23, 855, 59, 1, 390959, 9585, 741826618, 5080, 744622, 6399, 2, 8906, 4 }
{236044,1,7518990,99796,24,7621576,3845,175,1,345032,5594694,42,74,396991,1,892348137,6068,36543233,14128,6791685,239342310,101681,837373744,480125,5652,831,44125238,256047430,633}

{236190,4,7519013,99799,58,7621587,3996,197,3,345166,5594728,61,84,397038,36,892348246,6069,36543563,14337,6791697,239342433,101710,837373747,480131,5736,840,44125242,256047691,659}

{623702797,4838,847,784150,1609434,64682,5197,152,78276504,2714075,21463,1,5389818,859739,55381,9619217,9788063,386157759,8944046,21180142,261822,911056899,442,2637,1,6418115,31,84830968,523}

{623703196,4906,923,784156,1609728,64712,5336,373,78276767,2714403,21465,2,5389838,859814,55499,9619338,9788064,386157759,8944047,21180143,261830,911056900,467,2670,1,6418128,74,84831292,574}

"WWBWWWBBBWBBBBWBWBWBBBBWBWBWW"

{0,21,1,12,9,8,17,8,7,8,5,0,9,8,5,3,9,21,14,11,2,27,7,8,11,20,10,22,11,1,11,19,19,16,12,16,21,5,27,22,19,1,24,13,22,8,23,7,15}

{3,20,0,18,1,23,3,22,23,10,5,6,9,19,28,28,14,3,4,0,24,15,5,4,25,17,16,27,28,21,19,2,7,4,0,12,2,12,16,7,18,22,18,21,26,21,28,20,3}

{623055432,1150035774,623934482,3568343,3054544,78754053,421817365,915649872,482221,83849816,0,623930339,0,63888122,7685052,882744,3003940,910274629,1554252,623939323,7514208,711512645,7685715,76666873,6418889,588694756,15355243,666156999,1147,911153679,27971776,21906608,27971292,8184374,618549465,4404213,918473380,12946645,331084426,837373644,19013575,837378203,8952607,910492462,793248884,832882010,481558,239603670,901083433}

Returns: {236097, 623702997, 4, 4906, 7519004, 885, 99799, 784155, 30, 1609728, 7621576, 64684, 3926, 5267, 197, 372, 3, 78276574, 345061, 2714239, 5594694, 21465, 61, 2, 84, 5389837, 397001, 859776, 36, 55498, 892348137, 9619242, 6069, 9788063, 36543552, 386157759, 14218, 8944046, 6791685, 21180142, 239342348, 261827, 101682, 911056899, 837373744, 455, 480125, 2643, 5736, 1, 831, 6418115, 44125242, 73, 256047479, 84831079, 648, 562 }
{1,1,1391556,264952,1,29,654,6582562,7655156,452543,1,1,653,1,902762028,55689447,81,94917652,5617863,965,3,9907648,689,6124,6,79,49878,1,55638,6743981,163,685822,917855747,157535,1,1,7813,55,14,611531743,57,73204,4936675,8669678,1,9980,35216,80762,4488,893,120533,9393072,1,1,1,26387,1,1,503925,614489,1,7515,791946,413,564317,1,3137648,8765,5474324,1,586709,743668707,47,708494981,33023814,1,626,62732883,1,12220568,944123440,1,8193246,1,415,1,7677,7344,684,44687,1,997310815,8,3448,98427,168600}

{2,102,1391557,265109,12,60,998,6582583,7655161,452549,55,3,660,4,902762342,55689562,99,94917707,5617876,1218,6,9907650,805,6141,8,413,49878,82,55687,6744005,321,686120,917856023,157540,200,3,7905,61,17,611531749,64,73215,4936675,8669694,1,10095,35229,80791,4521,1182,120536,9393304,140,302,9,26495,3,407,504227,614497,20,7516,791986,413,564369,1,3137652,8767,5474327,3,587002,743668743,233,708494999,33023836,37,642,62732916,1,12220568,944123465,4,8193279,31,443,11,7739,7351,788,44694,26,997311162,49,3469,98466,169022}

{27427,1,4516,4267062,2928,1,28,46822,1937658,21060962,76641526,1,1,5,94,1,35302902,410723,30381862,599609,33742,1,763,809119383,563112,36042216,91257300,1,69,1,1,8304624,98592,43,1,1,431,3343501,22008569,45025,155666,249359895,8831368,1,1,79719039,946831,7609,599160152,1,1,1,100,6,1,1,231,67,1,204,66651963,103842804,55,1,944,1,5681,245255819,77829830,555592257,884954,1,2062,219,678862,1,8062088,389,63,79264964,1,7569648,927816905,381,1,680179,1,432960,3652,1,49439,438919,314,440,742,654627}

{27428,52,4703,4267117,3019,39,31,46825,1937659,21061179,76641538,36,2,46,101,48,35302922,410737,30381864,599770,33782,3,796,809119384,563115,36042487,91257467,1,432,24,18,8304631,98759,45,5,98,472,3343503,22008584,45031,155743,249360038,8831370,19,14,79719066,946843,7609,599160394,249,411,12,107,14,88,24,244,192,11,257,66652256,103842816,79,32,1066,7,5683,245256031,77830225,555592534,884958,2,2173,242,678891,20,8062120,397,63,79264974,9,7569782,927816932,381,7,680312,6,432975,3873,267,49447,439246,504,482,748,654642}

"BBWBBWWBWBWWWBBBWBBWWBWWWBWWBWWBBBWBWWWBBBBWWWBBWBBBBWWWBWBWWWBWWWBBBBBWWBBWBWWWBWWWBBBBBWWWBWWW"

{31,26,9,23,74,50,46,83,25}

{48,44,17,35,30,35,94,38,2}

{591537305,91307332,115115402,809125521,33702545,120532,1009291,22008202,37429441}

Returns: {2, 27427, 76, 27, 1391556, 4610, 265035, 4267090, 11, 2974, 42, 20, 827, 29, 6582573, 46824, 7655159, 1937659, 452549, 21061036, 32, 76641532, 2, 18, 657, 1, 2, 25, 902762186, 97, 55689518, 25, 90, 35302912, 94917652, 410737, 5617870, 30381863, 1137, 599689, 4, 33762, 9907649, 2, 755, 779, 6133, 809119383, 7, 563113, 277, 36042352, 49878, 91257456, 81, 1, 55672, 251, 6743993, 13, 244, 10, 685973, 8304628, 917855939, 98676, 157539, 44, 101, 3, 3, 98, 7875, 451, 58, 3343502, 16, 22008574, 611531747, 45028, 60, 155705, 73210, 249359967, 4936675, 8831370, 8669686, 10, 1, 13, 10048, 79719052, 35228, 946831, 80790, 7609, 4509, 599160273, 1058, 125, 120533, 100, 9393188, 7, 73, 104, 154, 10, 4, 44, 26445, 13, 1, 238, 219, 129, 504081, 6, 614491, 231, 14, 66652110, 7516, 103842810, 791974, 67, 413, 31, 564325, 1005, 1, 7, 3137651, 5682, 8766, 245255925, 5474326, 77830027, 1, 555592396, 586855, 884956, 743668725, 1, 177, 2117, 708494988, 231, 33023822, 678877, 27, 11, 627, 8062104, 62732903, 393, 1, 63, 12220568, 79264974, 944123452, 5, 3, 7569715, 8193265, 927816919, 15, 381, 431, 4, 5, 680246, 7710, 3, 7344, 432967, 690, 3763, 44688, 134, 13, 49443, 997310998, 439082, 36, 409, 3449, 461, 98436, 748, 168818, 654634 }
{2,467,66351,600526006,332,47758303,46621089,787,4358,71,890508,75636,899,29339,730,8502,81786,469687,1,6292}

{149,655,66572,600526024,663,47758418,46621106,792,4707,77,890526,75946,913,29350,744,8663,81788,469748,259,6359}

{565,76084,38951,66,1,1,76326234,928153978,532468,669927317,10624,96,6019,4035,54725,6266,81601137,492946,918462,306727105}

{759,76087,38952,117,93,1,76326261,928154065,532697,669927333,10630,253,6021,4067,54729,6266,81601175,493024,918532,306727476}

"BBBBBWWWBBBWBWBWBWBW"

{1,18,17}

{9,14,0}

{669851712,864815,962320}

Returns: {53, 662, 558, 76087, 66462, 38951, 600526013, 92, 524, 47, 47758417, 1, 46621093, 76326247, 789, 928154021, 4592, 532583, 77, 669927318, 890518, 10627, 75867, 175, 907, 6020, 29343, 4051, 738, 54727, 8662, 6266, 81787, 81601156, 469709, 492985, 154, 918497, 6308, 306727290 }
{542378,1,237,876775151}

{542403,1,625,876775194}

{61,1,893375,470528}

{63,30,893380,470745}

"BWWW"

{}

{}

{}

Returns: {542391, 62, 1, 29, 432, 893378, 876775172, 470636 }
{70413,1354}

{70467,1502}

{8060655,2370}

{8060838,2466}

"BW"

{1,1,1,1,0}

{1,0,1,0,0}

{0,8127548,0,8127549,3}

Returns: {70450, 8060747, 1454, 2418 }
{4357,3702,1,84073,469626190,94914,1,27904694,6355,4101,3291614,1,1,82329,3653702,9582,193429,39318,1,600445,735,2,418,4052550,265397070,54594,559,1,834997,38184,5}

{4511,3724,66,84123,469626193,95080,31,27904794,6359,4131,3291802,2,1,82587,3654135,9870,193436,39372,15,600448,777,6,422,4052624,265397074,54619,690,1,834998,38495,22}

{821379,25886691,394436,70,55548776,1,1957,37291880,1,1,592698,126,889386,835610,1,76358304,997,67428462,1,1,188449,359249,1,3994160,1,5208025,312116,1,55904,1,273}

{821437,25886911,394760,73,55548925,11,1957,37291883,180,7,592706,392,889386,835931,1,76358376,1000,67428473,19,21,188602,359254,25,3994175,3,5208033,312176,9,55936,391,278}

"BBWWBWWWBBWBBBWBBWWBWBBBBWWBBWB"

{9,27,10,1}

{6,5,18,24}

{6047,95082,3884501,291280264}

Returns: {4445, 821408, 3702, 25886801, 34, 394598, 84099, 71, 469626191, 55548850, 95000, 6, 31, 1957, 27904744, 37291882, 6358, 91, 4116, 5, 3291710, 592702, 2, 259, 1, 889386, 82427, 835770, 3654135, 1, 9761, 76358340, 193434, 999, 39346, 67428468, 6, 10, 600446, 11, 769, 188525, 4, 359251, 418, 13, 4052588, 3994167, 265397072, 1, 54607, 5208029, 650, 312146, 1, 4, 834997, 55920, 38300, 196, 14, 275 }
{23992,624,5091528,338601840,794377,5057,15700,36,82370,41531371,846152,501919243,7689981,19,1,61664371,1,569539497,475976597,236,1,1,53522180,813,52570,47729587,3789,7358,1947918,1,771,915,1,45188,240985949,130,1147668,1,9867,1841,630,4,554,774,14349,1692649,249,1,44,9857554,138982,686831,5535,153,103353,41461,55,6043,30420351,18,150439,549143904,905,40733,244,69,546325,1,1,43,92591,357828,703553,321547,227054,1,369231912,8107207,4022,1,27,22958141,77,71816,825019680,64852815,1,947105193,1,1951}

{23992,902,5091553,338602110,794682,5131,15720,40,82371,41531413,846208,501919546,7689995,282,165,61664547,158,569539522,475976950,243,12,312,53522398,942,52838,47729608,3792,7539,1947996,2,788,1347,243,45253,240985951,235,1148016,26,9869,1856,741,27,895,787,14617,1692702,275,50,77,9857559,138984,686880,5580,397,103356,41551,69,6153,30420429,66,150439,549143955,1208,40736,800,87,546328,240,151,43,92603,357833,703605,321553,227077,42,369232321,8107234,4031,124,28,22958194,112,71880,825019691,64852965,5,947105225,9,1996}

{6502,74871,517514,663,4042,26993832,238205,572427895,821,46368982,412605,1,66,59474363,1,302206,22,19829,19962,22311212,6245,21237807,383,50556,83133,33854789,1,2967530,571720,6,45,379390480,7756260,771828738,108,4712,17372,1,18222253,24,47816219,183008,5137,6470929,969636698,82,15501,3734,1,76132628,30502,94371875,2,566307,1,57753972,10560097,368200,855602482,393599547,4062,4787066,1260237,7059,757,3180389,2016868,329,12441936,479184436,800317,170081,637,212840175,1,6,5893,176266395,1,1,1,31,4772754,56497,66574184,7198815,347,5,801336,26413}

{6650,74957,517516,902,4353,26993853,238210,572427906,856,46368991,412614,3,73,59474373,6,302402,146,19865,20130,22311254,6249,21238001,559,50572,83707,33854790,4,2967572,571723,246,458,379390522,7756427,771828797,156,4713,17605,10,18222284,57,47816229,183039,5149,6471028,969636950,104,15503,4051,3,76132785,30503,94372301,3,566307,4,57754036,10560362,368454,855602513,393599720,4403,4787070,1260704,7239,759,3180472,2017152,500,12442245,479184440,800350,170132,653,212840230,6,99,5904,176266406,4,7,62,42,4772985,56512,66574227,7198853,353,7,801482,26454}

"WBBWBWBWBBBBBBBWBBWWBWWBWBWWBWBWBWBWBWBWWBWBWWBBWWWWBWWWWWWBWBBBBBWBBWBBBWBWWBWWBWWWWWBBBW"

{17,32,35,88,63,49,56,75,73,87,13,43,28,77,74,59,47,53,81,28,42,9,30,15,75,44,50,3,84,81,12,36,88,35,46,14,68,9,89,49,21,27,6,7,45,27,83,58,88,32,86,75,34,52,57,43,45,47,3,48,20,35,86,36,87,85,19,37,56,10,31,40,12,67,26,58,6,49,60,32,25,81,60,64,15,38,72,58,60,56,68,85,87,24,70,18,67,79,26,20,31,12,59,61,20,44,13,76,57}

{61,36,42,62,75,69,57,43,8,33,39,59,62,42,42,64,78,73,64,26,64,26,81,16,71,77,35,25,44,86,11,10,83,21,0,17,78,74,34,52,48,16,68,6,56,47,42,32,72,82,5,29,3,47,25,86,13,1,30,20,39,41,60,31,31,0,87,56,59,70,54,34,34,41,68,32,85,70,16,78,28,39,59,63,37,72,34,45,20,7,27,60,75,47,80,61,48,59,29,85,4,41,32,18,85,11,62,64,77}

{25162820,8886786,850,459969,47694,412909309,10197644,6471695,213078562,1718888758,59476171,387129433,2635294,184367944,231653,393599333,7797,212595295,22958488,2515904,4525,87896606,22957402,61966722,527842,801462957,164642,324726130,1728067627,22958491,494229610,696880,816794,21233421,32596,569559310,12446266,87673324,241010337,85984614,21238044,2974938,12219748,572205380,12252640,2971189,122622,878266595,1504387,2983401,26998618,93,97616672,9346,81209874,6471443,61166952,72071,338601897,6283,8071,178438,154163,380519852,1326494582,72021006,969416227,10560156,383039650,1141334,379492720,288801432,233296013,182693,12446024,878266596,71797724,85097278,154495,7760331,79064700,22956347,393746037,46627,61966735,18915326,240282928,884330119,152599,561867840,9482061,71897131,947105295,132371,892831,77934036,375,393599760,3794,72045391,380179829,7872931,385843450,77934036,72045391,1471541653,58215303,369236639,183999114}

Returns: {23992, 6650, 773, 74914, 5091542, 517515, 338601840, 902, 794474, 4251, 5099, 26993843, 15719, 238210, 37, 572427901, 82370, 839, 41531394, 46368987, 846185, 412610, 501919394, 1, 7689995, 72, 155, 59474368, 84, 3, 61664441, 302295, 141, 130, 569539498, 19837, 475976895, 20091, 237, 22311233, 12, 6245, 200, 21237890, 53522309, 471, 885, 50564, 52588, 83420, 47729598, 33854789, 3790, 4, 7433, 2967551, 1947964, 571723, 2, 10, 788, 89, 1147, 379390501, 95, 7756278, 45226, 771828764, 240985949, 130, 169, 4713, 1147837, 17550, 26, 10, 9868, 18222267, 1852, 38, 686, 47816224, 27, 183008, 555, 5137, 777, 6470978, 14602, 969636712, 1692650, 104, 263, 15502, 50, 3819, 53, 3, 9857554, 76132640, 138983, 30503, 686864, 94372088, 5578, 3, 397, 566307, 103354, 4, 41518, 57754004, 68, 10560106, 6060, 368454, 30420371, 855602485, 66, 393599547, 150439, 4081, 549143926, 4787069, 1187, 1260238, 40733, 7060, 525, 758, 82, 3180431, 546326, 2017010, 61, 362, 5, 12442090, 43, 479184437, 92595, 800322, 357828, 170101, 703562, 649, 321550, 212840202, 227067, 4, 6, 98, 369231913, 5893, 8107210, 176266397, 4022, 4, 64, 4, 28, 59, 22958142, 42, 94, 4772912, 71817, 56497, 825019687, 66574211, 64852827, 7198819, 5, 352, 947105203, 6, 8, 801451, 1975, 26433 }
{1,1,1,667821,13}

{97,268,1,667974,29}

{5097171,460,1,5,235}

{5097448,481,99,9,260}

"WWWWB"

{2,3,0,2,0,1,3,1,0,1,2,3,2,3,2,3,3,4,3,1,1,4,2,4,1,0,1,2,3,3,4,4,0,3,2,4,0,4,2,0,2,4,0,3,2,0,0,0,2,3,4,3,1,4,4,0,2,4,1,2,0,4,0,3,2,1,2,0,4,0,4,0,4,1,2,1,0,1,2,0,0,1,0,3,1,1,4,0,2,2,2,2,0,4,2,0,4,0,0,1,0,2,3,1,3,0,4,1,3,0,0,0,4,1,2,2,1,1,0,4,3,0,0,4,4,2,2,4,1,0,3,0,1,2,3,4,1,2,4,1,4,4,2,1,0,4,2,3,0,4,0,4,4,1,1,2,3,1,3,0,2,0,2,0,4,1,2,2,3,3,0,3,3,1,3,1,4,3,4,4,1,3,2,2,1,3,3,4,1,4,2,1,4,1,3,1,4,3,1,2,3,4,4,3,1,3,3,2,3,3,0,1,3,3,0,4,4,2,4,3,4,1,4,0,0,0,2,4,4,2,4,2,0,3,1,1,1,1,4,1,3,2,3,1,2,1,3,2,1,2,1,0,2,3,1,4,2,0,2,0,4,4,4,1,3,0,0,3,3,3,0,4,4,1,1,3,3,0,4,2,0,2,4,0,2,0,0,1,2,2,1,2,2,2,4,1,0,3,4,0,2,2,3,2,3,1,0}

{0,2,3,1,1,4,3,2,1,1,0,4,2,2,2,1,1,0,3,4,2,0,0,0,0,2,1,4,3,2,0,1,1,4,4,1,4,4,1,1,0,3,2,3,0,2,4,3,1,2,4,2,2,4,0,2,4,4,3,2,4,0,2,2,2,1,4,1,0,4,2,1,0,4,1,2,2,0,0,1,4,1,3,1,1,0,0,4,3,2,4,4,0,1,2,4,3,3,4,3,1,4,2,0,2,0,3,0,2,2,1,4,0,0,4,4,2,4,3,0,4,2,3,0,2,4,4,2,4,3,4,2,4,1,2,4,0,4,3,4,0,0,4,2,4,3,4,0,2,3,1,2,4,0,3,4,0,2,1,3,3,4,0,1,3,0,3,1,1,1,0,2,0,0,0,2,2,0,3,2,2,4,1,0,2,3,2,4,2,1,3,1,4,0,0,1,1,3,0,0,4,1,2,1,0,2,1,3,4,0,4,2,2,0,3,3,0,1,1,1,1,4,2,2,0,1,4,2,3,1,0,2,3,3,4,1,3,3,4,1,3,0,1,3,1,4,0,3,0,0,0,3,2,2,1,0,4,0,3,1,4,1,4,4,4,2,2,4,4,4,2,2,2,4,1,2,0,1,1,1,0,1,2,2,2,0,0,2,4,3,4,0,4,4,4,0,2,2,4,0,2,1,3,4,3,0,2}

{5097517,667881,5765233,1112,5097042,506,256,537,5096934,63,5097480,668365,37,668104,256,668446,668303,5097096,148,687,536,5097579,5097833,5097609,5096861,5097829,380,753,453,667828,5097488,298,5097491,668530,792,310,5097398,33,697,5097006,5097654,668471,5097837,176,5097498,5097990,5097705,5765243,665,668413,306,668154,856,202,5097366,5097831,521,9,668394,334,5097057,5097209,5097538,668228,203,600,840,5097051,5097441,5097177,713,5097175,5097510,654,994,973,5097781,5097345,5097659,5097146,5097514,298,5765304,668524,454,5097089,5097568,5097209,668528,667,537,725,470,759,401,5097022,668373,5765487,5097237,668366,5096957,566,668178,5097330,668320,425,668174,5097448,668125,5097730,5097110,5097518,5097588,5096810,757,623,962,866,5765442,5097522,668175,5097295,5765436,5097353,913,882,321,334,699,5765515,668355,5097420,258,568,668079,423,5096852,814,668526,245,5097291,5097640,488,1186,5097449,668331,692,5764971,5097806,668643,5097383,314,3,5096885,668620,590,5765374,1161,668653,5765156,668069,5097623,5097820,5096839,668479,5097107,668389,1184,668985,668680,157,668273,5765408,5097176,5765288,664,578,5765364,668738,438,779,668433,889,5097587,716,117,668338,567,487,663,668323,224,145,5097119,5765017,489,531,0,5096892,5097617,668387,888,435,668607,5096822,668174,668455,667848,668446,5765166,5097554,1010,667842,5765270,5765488,668365,5097027,513,275,668650,374,680,483,5097563,169,5097017,469,769,668395,923,5097431,344,5765549,229,746,634,668297,668527,407,13,128,5097469,668856,668397,789,441,5765180,668414,5097399,5097336,5097164,5765008,581,667982,336,5097500,400,623,668537,5097276,200,866,220,299,668339,5097664,5097471,668672,668739,668661,5097986,367,315,414,603,667985,5765081,5096904,540,1097,338,577,952,5097776,449,561,501,999,321,668452,380,5097551,593,553,300,5097007,5097748,667831,380,699,485,957,571,548,179,5097521,5097970}

Returns: {97, 5097171, 28, 460, 1, 5, 667825, 9, 29, 260 }
{4,91,121}

{25,212,427}

{1,16245166,2090550}

{224,16245166,2090606}

"BBB"

{2,0,1,2}

{1,2,2,2}

{14154748,2090814,14154748,0}

Returns: {14, 117, 211, 16245166, 287, 2090578 }
{40268,681820,217454329,9325606,1}

{40276,681820,217454619,9325798,180}

{1,528323,67169924,57057775,92455322}

{91,528325,67169925,57057781,92455324}

"WBWWW"

{4,2}

{1,1}

{92608810,283414378}

Returns: {40272, 46, 681820, 528325, 217454474, 67169924, 9325704, 57057778, 91, 92455323 }
{302560349,75593,29737,54918765,9880455,1,7990,501,1,1,7,1,9280,715792686,579224,360,1,47699,51055080,1,5600710,35455,32,86679799,1,1,1,773923,849,654589,6596766,1379,343006398,1,87140,7766,77909,898138,80192,1,44381,3540910,1,37,1,95190854,6756015,76,985,20817,285392,7231,20041,97353259,1}

{302560381,75624,29811,54918771,9880684,26,8331,842,1,4,162,33,9401,715792696,579225,384,17,47706,51055162,14,5600722,35594,58,86679806,24,5,21,773954,1335,654598,6596770,1548,343006432,3,87157,7775,78014,898138,80234,8,44389,3540930,3,42,49,95191056,6756088,76,1164,20990,285424,7275,20048,97353358,8}

{8264849,1,25783855,5097,1,1613714,1,820866373,1,150833661,37447518,499252,432,21,1,414,1,3594180,76437,233,43,11686,510,1,763611389,6524,1,52929320,151,1,635832989,49,287630063,1,519555608,1,4718,6263541,1,79321,84,1,731751,1510744,285454329,4304759,1,931587,6,910747077,487501,53290,538,8987782,34}

{8264849,4,25784240,5125,1,1613721,31,820866490,13,150833662,37447520,499608,439,107,29,414,17,3594183,76439,243,71,11701,614,13,763611499,6524,12,52929323,196,6,635833004,50,287630088,1,519555694,5,4958,6263884,4,79360,92,96,731757,1510746,285454530,4304780,3,931632,12,910747100,487688,53339,766,8988014,88}

"WBBWWBWWWBWBBBWBWBWBBBWWWWBWWWBBBWWWBWWWBWBWWBWBWBBWWBW"

{23,3,21,13,1,24,19,35,52,43,1,24,38,24,21,7,52,52,19,15,8,22,41,19,54,14,24,16,54,45,35,9,10,48,19,46,49,37,6,40,15,38,44,46,15,1,10,23}

{10,4,19,50,5,25,2,36,54,32,32,28,21,26,14,47,12,3,40,41,22,31,34,6,20,39,2,30,12,52,19,24,2,11,16,17,45,6,27,25,44,19,31,24,28,20,4,25}

{124127410,45042873,46637,715994795,1689180,763604657,25813669,74960,21011,629125573,630561092,763611772,56733,763611352,555607,819935077,10962,54903092,44251,3541216,929,1899,523009340,8333,5600838,658414,737857251,642430005,9853,99475065,7723,612777617,11693690,500002,456,10302533,1001612302,7153665,53695557,50539,285454342,80542,285455576,770367075,888,5525197,47328505,86686175}

Returns: { }
{28,706,2533,418677,1,648539,64939357,39631705,5752340,1,89,59385008,683098250,633715895,1,1,65087,7,5114,13763,2,1,8661,1,16481,42746638,175750,67203287,452817357,77322,37,8639,224,1499,78,42,1810549,8,1,1,82,4886,9712,1,3911,65008,34764,812,1811,21445255,6052,82642670,96326,822862673,1326,976437,2449,8759186,32089,199485,981,8569,11412,24085,1,598628189,415484,53616984,99858905,1,4259985,1,3824971,310,693591,79,76969,2002,9586,1,199841203,4,1,94,79,1,31325333,1,166650601,77304877,1,358419,244,67,73992193,90914,1,2310925,793,1}

{71,728,2535,418705,97,648542,64939361,39631988,5752341,169,90,59385008,683098277,633716132,103,31,65272,8,5127,14167,45,3,8689,9,16566,42746677,175793,67203454,452817378,77514,37,8642,235,1512,127,43,1810556,12,71,3,92,4921,9740,22,3978,65465,34790,1009,2069,21445325,6058,82642673,96334,822862799,1359,976488,2775,8759222,32121,199618,1132,8585,11716,24096,68,598628252,415605,53617051,99859246,37,4260083,5,3825281,325,693680,156,77155,2048,9590,389,199841251,7,8,258,294,2,31325340,144,166650604,77304881,52,358718,272,89,73992205,90914,54,2311230,834,46}

{1,1,1,1,76090,62792,71608,73485048,34,428288035,12034,1,965237,598,549540361,1,42023,1,190,66100085,934,1,1,1502454,9461,61194742,1,22208163,1,1,6854,70469437,958,344164,2238,815814,1,4,79339,74,1263,318270,46,801,947,9828364,48,236683,1155,74,84414,90897246,600204857,352,93683015,1,96106,860812,22152980,83026365,263425992,51643,953239403,3,1,1,97371,5,17978,7320,133904846,3642333,49,54737967,174817,1,431409,964870,1,1,11931,662513,15314,1,94566,2155,6,405486,1,78605,15533923,176615,1,2874,547,86,579,478668,2813495,928935}

{1,58,3,22,76119,62912,71669,73485062,41,428288137,12039,298,965306,598,549540418,11,42091,117,681,66100310,939,3,8,1502456,9478,61194778,73,22208191,12,152,6884,70469440,1059,344168,2321,815827,4,14,79384,77,1380,318594,344,846,963,9828374,97,236704,1156,76,84416,90897538,600205254,486,93683275,3,96109,860828,22153206,83026601,263426000,51892,953239411,131,6,1,97546,16,18001,7683,133904850,3642359,241,54738045,174829,11,431651,965013,1,5,11935,662550,15320,145,94672,2175,180,405522,32,78627,15533925,176932,6,2876,554,100,580,478758,2813502,928937}

"BWWWWBBBWWWBBWWBWWBWBBBWBWWWBBWBWBWBWBWBBBWWBBWBWWBBBWBWBBWBBBBBWBWWWBWBBWWWBBWBWBBBBBBWBBWWBBBBBWWW"

{84,68,4,38,27,94,60,23,51,56,27,43,54,85,60,66,18,10,28,79,8,66,61,20,51,38,94,53,35,95,82,34,24,86,43,95,68,73,59,54,61,24,63,11,47,29,25,89,14,42,52,80,33,76,16,55,28,90,5,48,17,88,54,11,48,29,38,97,19,11,78,29,33,93,65,72,86,8,82,4,50,12,74,52,68,7,4,13,35,32,43,89,38,52,80,56,51,7,81,13,83,9,51,80,34,33,2,34,0,7,1,7,83,52,15,31,71,7,33,65,38,93,20,93,47,36,84,83,45,76,40,16,35,31,9,30,68,97,12,36,7,35,77,16,96,81,17,38,31,41,12,49,92,51,88,20,12,3,25,56,97,74,26,57,19,53,67,79,95,45,2,0,22,59,55,38,24,91,66,92,83,4,35,39,16,59,32,61,56,55,34,41,22,91,1,47,73,4,84,96,16,63,69,84,23,10,72,61,70,46,82,38,22,5,64,71,40,44,54,35,3,6,14,89,37,37,18,0,35,83,12,66,95,43,81,7,83,39,58,72,95,70,81,32,60,79,85,0,43,40,14,99,96,63,83,39,57,73,10,51,4,56,8,25,57,56,52,26,54,25,23,5,16,49,82,97,47,8,86,53,51,83,92,62,95,22,60,62,55,61,66,93,91,73,94,60,81,54,8,77,90,70,30,26,37,92,77,31,65,82,98,74,71,60,31,79,4,36,67,14,77,88,2,90,74,84,79,24,14,15,38,93,36,60,0,75,5,56,57,30,53,21,99,0,15,19,20,45,65,47,52,92,89,2,63,87,83,28,32,41,25,75,49,54,56,91,80,79,55,24,33,74,57,82,78,81,55,50,65,30,57,59,71,27,64,60,58,3,86,25,15,24,52,59,5,36,14,52,90,12,88,62,63,93,87,23,17,77,19,39,92,63,35,73,38,3,6,26,35,70,74,10,61,68,67,72,88,72,47,15,87,95,57,48,79,67,55,31,88,5,33,79,90,44,7,39,90,90,46,33,10,14,15,22,18,56,91,83,7,51,25,14,26,9,60,41,77,58,32,65,83,27,48,89,47,67,60,58,23,50,70,43,38,34,56,43,25,2,13,39,56,64,26,84,3,81,88,30,18,31}

{83,27,51,69,34,8,47,89,76,51,45,33,23,15,7,39,36,94,28,91,94,26,71,96,87,70,77,48,70,85,64,13,77,48,70,79,12,82,7,81,17,17,40,37,18,92,1,46,21,81,37,55,98,89,36,56,90,44,52,27,75,12,36,16,0,22,97,65,48,98,64,99,58,48,5,83,32,65,93,40,32,0,4,71,0,42,44,66,8,95,76,59,44,17,1,23,73,98,61,69,9,84,37,61,36,95,20,2,88,13,85,3,3,28,89,77,80,60,34,67,39,72,60,20,49,42,93,34,63,9,90,97,40,62,12,34,40,96,92,44,8,29,24,83,26,15,91,83,48,29,58,28,33,59,16,19,99,49,88,8,73,95,19,75,40,65,84,28,10,47,87,34,28,67,25,55,29,78,39,86,89,46,98,67,71,19,35,7,39,22,54,84,46,49,48,64,97,99,59,97,73,8,72,68,13,76,52,30,38,69,39,86,70,67,4,52,85,45,13,86,21,93,65,26,79,67,2,82,98,51,98,67,14,90,48,55,29,69,7,33,19,5,92,73,67,84,0,77,50,52,85,53,28,81,24,25,92,25,54,5,43,34,94,80,13,50,58,71,4,89,5,74,85,25,79,40,58,43,1,22,92,18,62,99,87,72,24,33,11,98,38,62,45,22,92,96,39,82,28,92,8,10,5,82,42,32,38,15,49,65,23,83,89,56,33,84,27,3,46,78,33,84,24,28,67,48,67,73,66,7,69,26,28,61,73,42,16,45,2,20,12,32,85,51,74,15,24,93,59,57,3,1,4,62,48,37,67,12,79,2,35,89,23,60,73,22,97,34,41,82,72,92,98,52,42,2,28,55,84,38,28,74,7,76,33,94,56,57,79,20,7,13,32,81,19,12,16,16,64,10,36,74,12,28,27,69,21,11,10,28,48,28,97,67,6,21,42,57,18,19,69,1,98,74,69,87,32,77,39,1,56,69,89,94,5,22,25,7,5,80,10,73,17,78,75,55,64,17,70,51,53,22,73,91,59,36,14,8,77,7,46,75,95,35,26,99,86,38,64,36,30,32,80,84,77,30,49,21,13,56,0,26,81,40,74,65,52,23,84,30,5,77,20,51,78,70,71,65,70,95}

{94670,54845994,173463786,71818,89409027,68240407,263189400,78728653,173031351,173441439,79517863,344848,92182067,2126,229571894,512904,1805882,74003562,30,535301,68240302,337257,3599359,365,173134397,138085644,74954547,822861390,137349071,92935,15300,633717790,969919,31324457,138164073,90963,584186525,54723007,48973801,93022085,60232,25916,25435,59384983,240215,77167,103940596,77348634,549540307,671975,600301465,198876611,2470092,77580834,1787388,1070105,468351310,15536959,600694528,89408365,222,517413034,95492458,59361949,3232,68904,2710292,596795956,66111042,62197629,9456,1006431,21839388,3702,598042575,3824978,31325981,592875919,12463,74761,89334,684063529,792235,596659077,99877079,113106907,79044,633397571,6568014,91631,507753,160053258,82376,600301397,199852403,1408806,118801528,110302621,619350,633722962,428288151,428193633,173539872,199872427,1812712,433551,3399,4816,166650650,667568621,2783,112698278,418681,1052926274,77383421,69511141,203471707,229571917,343264,545011214,79287,3827738,263425955,1994,21680919,1801207,91717,2362,9869675,427933493,15532677,2682468,814485,882772816,1110421045,4624,99875604,2789144,684063252,1807491,107364681,893334,969966,106989,176222,662519,535244,79362,70474929,390853,704253781,431372198,345308,90313970,166627477,66113401,683134686,21026631,185098691,5845877,56570109,777495,66261690,9619945,66112730,224234998,53711551,452817321,102799,9655984,408092,2423,452808658,136443849,102965008,1055860,70414,525607,513010,31325029,77383462,110579,1998432,53616998,3665388,17111683,815100,113056801,98517,967799,93682250,228431,26233,21263679,2511,237678,56570104,852914,83131159,2789083,54760742,5728235,3832465,99935699,635217897,496480,603933827,53429,138085626,42225,15166,31404708,138156299,53031328,76087,596659170,859,9888736,727397443,32141154,418775,65008131,1148168653,77207610,29,53617000,3123,15287,1998406,173539896,684945597,53298995,549631097,15533086,663447,112140616,77441,7393,90931894,4167590,66176806,137453614,662832,54737132,317041994,94589,2261,966986,89672,600300034,549538195,823791305,452817953,686537,25831,103941262,9619816,49203022,93672437,172828547,75305,96223,68240388,218277318,625817174,15294,578116485,3818002,93608330,95674419,2088256,157098,104944,82496022,15288,2788187,21947439,5753056,31324606,822854651,173539579,5554,953250570,952321944,496344,3816341,263431951,952905219,58408515,2769547,433599,953247825,9944661,54746346,73992479,263426441,662512,93669308,447064987,966745,21286173,138152831,704508,191005,10005,1081,887599,70478044,577183077,598643572,1311859,868459,80868642,263331341,70132482,94611,89335369,1391911,53582350,549549984,621371,166745076,23427,468351230,53098152,95396,53617055,54744710,549858304,113116946,71889,178526,451006901,263381861,54738278,10002,604278,9795179,9617481,5876,140729354,1259,926846,173539940,868447,66114269,25011,9890717,681455234,9382429,600527582,513,77307348,953248331,23122,405494,53616945,231246164,1104,320659,103125630,77383309,22947703,169743116,54644054,526561,197996978,2437,1289757,22368,4167611,868153,10711081,600286242,455,665104,451840943,1054821,598722854,72474,444919005,83345786,109474635,88902844,345524,337416678,22086474,9201401,31325291,103940509,113117050,633708420,600300245,82563296,66671654,682253045,549563505,600194331,15533993,684051532,164840037,953746909,684039472,452820135,89006053,1494976,37,60347900,66102158,452817505,3022,452793244,2648021,108354719,64947127,418673,65000965,9444178,820412,72050647,860997,12604,2769624,99322232,53624509,4230440,166651313,4787784,237571,722,311940,98260,69327875,73990744,711341,53608379,102964885,42638884,166064845,199243506,333523,54738376,15533826,6636,113116926,976444,15533988,15533876,138130040,173194298,822874254,549549025,54738389,526528,83220270,1904104,549721866,5752327,112150100,60422870,103906604,549540376,84808,427472325,263600690,615590,32288230,22105692,1036,596817761,6991,89410273,199849993,77320822,729294,53623888,284870171,22185048,635217886,15304,138164854,176496,583132,946,769912,598629089,581660752,1504954,633810047,6882,679310,966948,176658,173445280,409058,137502408,170293026,598635049,138159219,70551593}

Returns: { }
{74292,460913909,1,8709883,32334,1,60595506,1,291411,2240166,997222779,2781527,777925390,1,91135780,4957,19481382,47642870,83,37597,2915471,994350,2431559,461267686,556768325,54647676,8526,78462,8314339,6,6332,1,2171988,1,48983804,7566344,66,81743,1,1,4573280,553111458,1,1816798,121354,7515,1,160,53,1,87271,511,1,5,7622155,60518,27682,1,1,3402,1,1,75050,4188,129664,1,127361925,6459368,1,192,1,305669157,483,1,14869726,139690981,35,7234047,1,8182,1,1,7762,68451698,1,1613,1,76549358,396414,239264,344,289961412,709374,1,1,1,80360,3,38,1}

{74302,460913914,11,8710034,32343,11,60595509,2,291549,2240178,997222800,2781584,777925392,4,91136119,4961,19481409,47642913,108,37700,2915477,994354,2431560,461267689,556768371,54647730,8548,78466,8314410,7,6360,154,2171999,3,48983814,7566475,114,81810,6,258,4573288,553111556,5,1816819,121369,7536,1,172,58,2,87277,595,60,6,7622160,60551,27684,60,349,3545,1,113,75050,4212,129666,2,127361932,6459529,3,431,48,305669422,578,10,14869734,139691452,54,7234411,1,8381,1,7,7776,68451700,302,1616,11,76549359,396424,239711,399,289961420,709404,283,118,312,80409,8,323,330}

{1,3565141,2434359,44,348,694,66358,7566,1739661,27,58277,991197559,91399,8096349,879752,1,6488,338807481,90925,69457728,337,97,423,243772517,6,39861217,1240,5858,651,94217788,2919,4928,23948,96793904,218129,1,36267,426966,12,721,94,1,87014958,894,781,49258987,4266,286340945,81,793455312,1,1,1,2857,36,3,93850783,86330617,789,3621211,7659464,69637,1,218031129,15,254,2,765677201,7744715,202,7,88689624,67057,545,433,609526,778838543,10,5144315,5901,8965730,1,885651,1,92552479,910,69658,1,1,96091603,8535,9571,1,68,1,8825631,577305,20142166,7814151,68815}

{2,3565167,2434443,63,352,844,66363,7776,1739673,49,58417,991197583,91632,8096373,879795,20,6619,338807544,91052,69457786,339,540,423,243772529,55,39861254,1357,5859,656,94217841,2940,5152,24302,96794074,218278,276,36287,426986,218,723,109,2,87014959,915,827,49258989,4285,286340997,235,793455319,89,4,4,2955,202,389,93850804,86330652,847,3621260,7659909,69656,124,218031294,15,283,27,765677207,7744760,210,35,88690131,67286,651,445,609553,778838545,17,5144360,5908,8965752,6,885653,4,92552593,947,69750,5,31,96091609,8576,9574,33,90,7,8825635,577325,20142189,7814338,69275}

"BWWBWWBBBBBWWBWBBBWWWBBWWWBBWWWWWBWWWWBBWBWWWWBBWBWBWWWBWBWBWBBBWBBWBWBWBWWWWBWWBBWBWWBBWWWWWWBWWBWW"

{94,19,56,57,96,20,35,1,16,78,31,20,91,87,7,20,14,48,94,74,0,86,42,62,31,37,72,17,22,17,23,16,31,11,79,67,8,11,86,19,83,18,84,43,91,31,69,96,70,36,64,76,92,68,10,72,52,97,78,69,89,68,0,30,50,83,52,50,89,46,30,84,77,8,56,22,8,40,5,36,6,78,66,35,17,90,81,46,27,29,34,17,14,29,50,39,45,42,63,45,68,49,24,69,99,91,42,22,19,18,37,12,0,6,44,16,87,59,63,23,36,89,24,20,44,5,46,0,38,39,70,13,32,4,82,97,49,11,28,47,0,96,34,7,49,90,25,85,27,67,12,19,52,39,28,25,46,77,28,96,67,64,7,32,95,12,87,73,75,88,88,27,79,23,2,72,47,62,95,53,85,59,13,50,49,4,68,96,11,22,62,30,56,4,25,1,20,83,76,70,35,66,3,25,42,52,56,3,22,8,48,5,53,24,2,38,89,96,63,88,27,83,72,90,58,47,81,55,85,87,61,18,69,9,61,46,65,54,84,4,57,8,77,87,88,27,31,94,44,97,6,33,45,11,37,97,66,18,51,17,13,41,31,88,55,17,95,58,2,21,28,1,17,49,97,77,61,94,28,22,93,67,0,88,53,97,28,8,37,85,79,59,34,4,44,99,98,42,40,50,40,67,30,74,54,90,12,99,45,15,35,35,35,5,13,29,42,50,42,88,66,3,73,19,24,28,83,76,49,67,74,64,32,24,29,9,60,40,74,70,92,70,21,49,9,69,57,14,15,5,86,13,20,6,81,70,51,88,96,45,3,18,84,9,60,23,46,32,96,34,1,62,54,63,98,42,81,34,2,52,99,3,78,25,22,20,27,78,35,61,63,30,21,57,21,62,70,22,44,73,4,19,5,69,24,79,40,71,83,87,71,66,56,37,74,8,11,52,12,31,38,25,18,38,59,48,91,33,84,71,14,25,83,26,0,79,65,70,79,73,50,77,21,13,44,93,6,86,63,12,88,46,81,36,25,62,91,9,74,70,61,96,67,52,51,97,11,18,82,0,50,15,10,18,74,62,59,57,79,71,41,19,75,95,0,86,83,5,91,7,81,87,30,34,54,14,92,14,70,21}

{41,27,60,7,0,49,34,38,75,34,24,18,82,56,40,58,14,18,42,16,13,86,14,49,59,90,52,51,68,28,13,82,61,74,65,95,0,22,23,59,99,20,84,42,60,58,84,29,55,45,49,28,44,21,40,87,45,57,42,25,27,89,24,80,69,95,11,60,18,64,21,11,55,77,71,47,60,30,10,33,9,56,15,87,24,45,37,18,99,56,58,70,52,49,93,35,56,66,51,47,20,37,38,75,94,15,26,11,59,59,7,75,92,52,91,81,73,15,85,55,41,29,74,78,88,78,11,48,87,34,63,4,15,51,60,92,50,78,48,96,99,13,15,56,35,65,91,98,56,45,4,0,60,85,62,89,99,44,85,67,95,62,88,85,68,51,56,78,74,45,16,90,4,76,18,69,11,64,4,46,58,34,32,45,34,5,82,85,37,38,49,6,41,32,96,51,52,21,57,56,25,40,82,21,63,15,70,77,63,31,10,25,91,70,96,45,11,22,11,74,79,18,41,0,83,18,10,76,83,43,3,27,48,33,43,35,87,13,44,91,50,54,81,36,90,20,77,48,85,39,98,3,71,4,8,5,96,21,10,26,24,0,71,28,48,70,89,40,73,36,88,39,19,38,96,38,53,39,2,27,86,45,26,53,30,48,16,12,58,47,88,90,35,60,42,32,29,81,2,69,77,85,25,4,23,64,81,49,40,8,80,11,11,84,2,56,52,39,86,66,67,14,36,90,90,97,67,60,49,62,29,10,28,98,67,48,14,28,68,89,75,75,59,34,21,12,17,80,67,29,27,30,56,77,56,85,66,86,33,67,51,1,29,1,0,67,75,34,43,21,19,71,91,70,44,5,66,43,31,67,13,20,9,44,66,49,68,94,3,27,50,44,59,71,84,78,32,56,88,96,6,51,19,39,92,62,37,64,79,90,57,76,42,8,20,94,1,81,14,84,10,34,12,31,37,86,40,70,24,29,93,83,15,63,3,26,72,1,19,47,90,90,9,93,50,93,12,68,68,88,46,50,35,39,99,55,59,26,17,8,13,3,67,35,23,61,55,50,44,53,62,6,40,88,9,22,18,93,50,57,72,30,10,32,62,81,38,68,5,56,83,29,96,10,37,22,24,19,4,26}

{553111550,69492693,86218578,86323070,583389,796370453,41635584,464479035,120812535,53910028,556773358,3006106,290829718,170372465,4580763,2915986,0,90862,87014957,4617797,8170654,0,177271258,793530358,3619359,499832,67485,386449792,10175890,378135349,696943845,20352669,64643,1003285320,13811,763311098,1956806,991547103,704970467,65870823,68520839,3006106,0,88830838,297611736,4452,92552470,93720860,60510,49230176,793584963,787152246,588822,8738604,992707815,76615926,49266460,66188472,81870610,94508554,96246553,88586119,556694071,8969157,87192,77277329,993979026,7747080,96239742,133915,990425,901426606,7173572,8682336,310802502,288771968,6211661,4569764,997280471,96757805,58421666,88734122,127356984,68983005,847932929,49257574,508775,86865,141745,394678,49201102,386450334,92015832,699237527,87072,7567067,44611956,214376881,218034736,237089375,10659893,793110121,556768371,140300114,69137,289966009,87022123,991547103,65870823,3533527,501203,638752480,635091,60661805,289848838,19487972,76549909,3622798,218032777,704979653,553147753,2113074,541899066,8059492,275858,5143644,993974819,74449,76549374,49201223,218035278,8128345,2190969,32085,6782018,20851543,793542497,988834732,8314772,285843905,143435,7599435,49196973,93870901,801021665,8669,275165332,7814958,93895711,722870212,777984166,69494383,7659954,1831,8239987,110638852,64877,7113539,8313072,771479048,763311098,54625,403993,2193388,1080879,778016251,170372465,5143800,125430332,49647876,19091553,80809,29706,996333670,2343392,67149,707637933,54625,8857616,1315,1710,52383531,10244403,49338640,842220989,32692,6866875,655126,993470308,2431960,793530358,60652571,646934653,2163262,93851266,464478459,2915754,67457846,692507939,93878419,86942584,122788737,9587699,93514097,131020371,4917,93878419,1475818,220458092,2025801,997280923,94508228,289968026,556768317,1937432,49266497,897648212,2928063,775943751,14473756,70325,68542663,553178114,82499,68452543,286250021,997281190,778899053,68451029,74733473,8779468,163569,148,99034154,1885531,7570617,76549632,15718479,92673040,289938302,86417777,9070353,7234124,76585565,404626,2842537,7239105,263,119894,20141446,68343439,105503834,345092930,993946402,1522323,20141451,127858853,1084817,997280594,386440508,564864715,553037252,394354150,7918620,60703,386450334,87505240,4574036,2433806,1030059,7918620,464478331,316954909,793455296,19645233,7234118,66697,720,10748098,2358534,69849,722870212,67124,399370,6376,20142003,11172933,779282169,507930,286341499,394142,3615713,41635584,7691880,87135516,2217184,86403496,87014961,7007548,87192,2660911,772134174,94499656,14837494,697418016,137856,778016847,793386171,53824646,2026124,16532083,995982384,995982384,92551770,5662003,394678,87015012,87899,86945223,126965513,886579601,83305947,35782,69486536,556776560,28455899,827669371,771178686,0,772061677,109087074,997151513,6165698,564582644,677918932,2240297,97916200,3741664,22614041,96330817,139591124,140300453,4611706,842220989,1246290,778016454,300119746,99222035,772131755,94217078,142340,8099787,96738248,53427738,93878473,2501,127361336,466157,96297087,722870212,8709346,464387926,1665320,462238859,7734189,976712838,140296243,47006004,2312810,48207097,526768860,394284395,282348794,218035278,7934852,87014246,127361932,47384238,2429354,772136672,8027219,5794681,7384493,94386802,124930790,796370453,7817356,5144347,1143579,142250,218114139,117136,4611706,308028805,93546329,5219397,2195889,96254245,275858,657122,60629181,69494883,69494760,707,556058980,72767,4918382,394229770,68449419,76557563,308028805,906200433,6863512,1522323,11954364,2031094,1445764802,59,687577630,92547474,997281170,45307000,777925718,5277,3272663,69581,285397608,96794050,649320832,311197180,92015606,53665189,68446754,218034124,8635650,4891,67268,464479001,69481394,286340591,95390,7242307,1246290,8096473,34790,0,717354985,7675016,210290580,777620428,400685,91449,7566363,35617,94439806,14500,293569695,2232972,371580213,2031044,8026714,9206747,0,7566306,705039609,20072522,993918531,178150,998440,77243,12303,60656888,992707815,487386,12629979,2356928,3533527,86330705,84906,308028805,553178114,69486188,858082949,10973674,760,69738,68451714,7744045,289970264,93870901,68451698,170767143,648390,948398727,7967310,89583909,556058980,159676394,32627,986682}

Returns: {74295, 2, 460913909, 3565141, 8, 2434362, 8709883, 62, 32334, 350, 10, 718, 60595506, 66359, 2, 7583, 291430, 1739665, 2240166, 49, 997222779, 58382, 2781527, 991197559, 777925390, 91456, 3, 8096360, 91136084, 879780, 4960, 19, 19481383, 6590, 47642870, 338807481, 85, 91047, 37700, 69457742, 2915477, 337, 994352, 503, 2431560, 423, 461267686, 243772522, 556768325, 41, 54647725, 39861217, 8526, 1357, 78462, 5859, 8314388, 652, 7, 94217793, 6360, 2936, 145, 5151, 2171992, 23950, 3, 96793962, 48983806, 218136, 7566357, 9, 77, 36269, 81796, 426986, 6, 25, 8, 721, 4573285, 103, 553111506, 1, 5, 87014959, 1816799, 915, 121354, 796, 7534, 49258988, 1, 4266, 172, 286340981, 57, 213, 2, 793455313, 87271, 89, 595, 4, 60, 4, 5, 2955, 7622157, 119, 60551, 8, 27682, 93850790, 28, 86330617, 203, 819, 3416, 3621213, 1, 7659895, 4, 69647, 75050, 7, 4197, 218031138, 129665, 15, 2, 281, 127361925, 10, 6459528, 765677202, 2, 7744753, 197, 205, 48, 15, 305669169, 88689877, 484, 67057, 10, 566, 14869733, 445, 139690982, 609526, 37, 778838543, 7234110, 17, 1, 5144353, 8193, 5901, 1, 8965730, 7, 6, 7775, 885651, 68451698, 3, 12, 92552486, 1614, 946, 6, 69741, 76549358, 5, 396424, 22, 239268, 96091606, 388, 8564, 289961412, 9572, 709375, 11, 202, 88, 2, 7, 3, 8825631, 80380, 577306, 7, 20142166, 43, 7814333, 2, 69142 }
{95123,1,1,1,709670,1,35934,309887298,1,1,367,4200555,873,11102,23542839,64749417,48771,821722,89,91613549,4442713,9494375,39403,1,2616,99849,341804,1,1,60196446,8477,7614,1,57171,24148,3,1,6070541,1,75758438,7,60798330,919557007,6633613,1,967,19410983,163,32531661,129670,900,334266352,79360,648905,65389,722784,1392301,612157622,1,387486,83545585,1,29,444840,1,40473738,1,81924650,269337413,8550,93,1,26635,103,37003,7932151,483,18735371,81663303,53,227278,3623,1,735832366,90,2451711,9562,8057,469201,86137489,42339129,4069,67780074,444,387756507,10,921268,44,26,63}

{95123,32,16,12,710248,2,36301,309887299,4,45,393,4200604,909,11148,23542912,64749480,48775,822065,274,91613600,4442842,9494512,39846,36,2642,99911,341812,58,42,60196447,8480,7626,65,57200,24205,31,1,6070822,17,75758463,35,60798350,919557046,6633688,5,969,19411009,182,32531699,129698,919,334266357,79404,649075,65393,722784,1392650,612157641,6,387833,83545950,58,65,444898,33,40473750,2,81924650,269337630,8582,214,412,27076,119,37014,7932166,568,18735400,81663490,62,227413,3941,67,735832489,100,2451826,9806,8072,469206,86137507,42339142,4076,67780115,445,387756526,303,921278,74,26,101}

{52,1,896050477,1,76,5,1,23186406,1,1,15197,1,6146902,38587858,9,76529708,3410,1,3584182,2808098,166,37498,9064,3539138,88687,28377718,1,9,77572751,672046559,258,1,9492,936260,261,16771623,69917460,604,7470863,22483,2563843,4563,3105,3,9255,3065,7277,9850076,10,64668,1,9260595,898056184,1,85196318,7225983,579526,1,880133,1,90344,1143329,4732558,585597,9201321,1,760900833,7817804,1,1,73209,558539412,2018,8431,81101039,234899,1,1,1,54781797,16,672,13066245,566,97,1,1,28208,945216,79,56899552,63,79855693,609,6425,28888853,460,1,1,34110175}

{151,93,896050480,2,345,202,13,23186445,45,19,15369,8,6146946,38587860,22,76529720,3424,170,3584187,2808370,167,37780,9100,3539144,88688,28377960,12,31,77572769,672046561,259,2,9509,936396,272,16772152,69917467,614,7470878,22748,2563871,4579,3151,11,9255,3386,7291,9850106,12,64725,3,9260603,898056211,14,85196445,7226231,579534,58,880195,72,90376,1143399,4732694,585618,9201542,27,760900833,7817993,44,19,73213,558539689,2024,8658,81101062,234939,4,91,4,54781994,49,989,13066251,591,127,61,370,28213,945222,84,56899720,63,79855707,755,6478,28888870,488,55,29,34110328}

"BBWBWWBBWWWWBWBBBWBBWWWWBWBBWWBBWWWBBBWBBBBBWWBWBBBBWWBBWBWBBBBWWWWBWBWWBWWBWWBBBBWWBWWWWBBBBWBWBWWW"

{95,67,48,95,83,66,55,33,8,54,43,5,52,49,57,26,64,55,72,34,74,88,73,31,67,70,67,35,27,85,94,26,79,6,67,60,21,61,19,47,32,10,0,79,96,85,56,88,36,51,4,17,62,16,20,14,33,91,45,35,48,10,20,10,38,80,28,3,62,86,31,2,65,9,57,40,73,70,6,66,68,93,36,52,81,34,43,47,87,24,77,98,70,68,28,75,72,68,6,30,17,62,39,90,92,3,94,83,72,15,95,55,17,66,63,65,55,65,86,29,22,69,22,29,45,7,83,72,93,51,76,22,37,28,40,95,22,39,97,58,70,95,38,35,35,49,60,3,40,49,77,2,26,56,54,15,0,68,96,27,91,10,55,89,26,91,0,32,35,57,97,97,95,68,30,72,95,50,18,87,93,78,38,62,64,38,19,76,59,14,77,77,28,6,26,60,73,51,68,99,46,93,13,33,36,30,22,0,97,63,29,72,45,73,67,19,89,10,54,24,94,20,54,35,35,75,73,16,30,91,41,89,57,75,2,87,44,94,51,4,89,53,0,57,45,27,52,64,65,67,33,96,32,76,47,83,50,83,82,21,93,28,24,51,64,0,67,92,23,36,66,98,20,82,31,58,87,81,73,11,64,97,61,68,48,50,94,55,81,53,37,4,41,82,40,19,3,70,85,1,98,32,29,45,59,21,31,61,11,11,32,57,6,47,3,63,0,15,80,76,41,51,20,76,7,62,45,40,11,61,30,25,57,44,54,21,47,73,51,22,63,12,51,83,11,86,0,40,26,82,82,78,35,60,95,58,72,18,67,72,61,97,85,18,52,51,19,51,89,48,63,79,18,18,27,3,6,11,40,27,39,27,28,1,90,32,60,99,40,10,4,59,22,25,98,28,48,64,65,31,96,96,56,73,25,73,92,19,66,27,21,10,41,74,83,50,87,2,40,66,48,39,42,92,0,23,18,4,93,70,26,26,80,32,44,7,65,80,15,16,92,90,82,55,99,86,68,50,10,34,51,52,73,67,57,25,92,11,77,66,28,1,5,58,94,18,88,72,69,22,82,64,32,62,98,80,26,63,86,78,54,4,16,48,73,86,63,21,38,37,46,77,50,21,54,93,70,66,52,79}

{4,96,6,63,12,79,96,2,62,98,77,46,20,33,15,14,8,65,44,86,49,11,18,25,22,71,37,20,60,60,31,91,23,72,77,89,39,94,10,47,22,76,9,46,53,38,29,11,17,35,96,65,80,5,58,34,19,63,35,54,90,9,62,2,3,63,9,35,48,78,19,25,25,35,77,83,30,63,33,30,66,33,48,81,37,58,49,20,30,43,84,52,24,75,7,63,17,12,49,62,69,85,1,9,46,43,15,79,75,0,57,18,24,3,98,7,22,80,55,31,64,82,97,73,42,24,70,12,52,87,85,48,9,44,92,60,58,5,97,41,68,35,66,32,95,95,82,63,40,68,55,71,46,74,68,27,99,25,34,84,32,2,29,79,5,53,99,29,98,3,15,79,13,74,60,96,17,37,92,0,85,35,41,27,44,24,55,79,64,28,72,26,0,66,72,19,49,87,39,53,39,9,5,2,53,58,58,92,90,2,71,71,61,79,78,27,59,8,98,60,66,46,41,18,55,28,94,21,97,20,46,71,52,45,41,17,95,16,13,84,79,14,26,30,78,84,33,55,74,25,83,71,79,98,58,64,76,32,62,77,27,70,71,66,14,40,70,11,16,71,22,24,55,10,25,56,88,91,74,52,54,18,16,10,97,21,95,64,12,11,68,1,19,58,46,19,51,27,5,73,28,74,17,13,25,68,79,34,69,6,95,22,93,7,32,40,76,81,42,53,21,43,79,76,85,80,38,90,58,4,6,24,73,18,11,87,66,40,37,41,2,90,46,27,82,30,18,52,51,63,61,48,89,55,63,87,35,76,7,99,94,39,72,30,11,68,81,99,64,95,52,91,60,91,80,8,49,52,63,9,98,6,60,78,64,73,50,25,21,47,17,95,91,9,84,63,52,56,29,21,36,38,21,93,79,25,44,94,22,35,62,87,90,13,26,53,98,91,60,62,82,60,72,12,97,38,62,42,42,55,86,15,4,76,52,26,44,85,86,85,42,82,51,76,7,12,74,95,42,26,57,78,62,96,47,22,35,30,54,74,77,42,50,59,97,15,53,54,72,6,66,36,42,56,80,62,86,37,13,65,17,56,21,88,4,82,99,99,64,48,82,38,92,55,5,40,83,60,30,62}

{29598760,88820890,32495516,28748102,741977819,706118921,7424180,895171266,4732721,85261803,12101767,19418261,902419372,944239,623937878,23201034,9201326,46977085,34311,14674,81129071,4676570,3575761,28469941,89694007,558466564,83671232,21214367,83635982,81184223,387755368,337794,51242869,11134,71007159,2682116,66278989,388893388,94406239,0,39994,15464,95167,74185624,272813,9922690,730270962,4676570,70739501,341777566,211681,39651678,4959952,52179,5322738,23518887,93428401,1026313,16769433,68490020,66707118,15706,9175217,896035504,7470879,803063,77572784,16771816,37264350,81653701,94414326,867772606,68751586,16771817,593422337,738395639,16553,957140,957359,760909053,1030238246,992352,102449152,898130965,6067244,904124,6568648,14292470,28361,6719748,18735281,898135526,17999,261640151,364273601,7838021,796981,275483457,158172,4740882,813537,7184477,75780940,99238819,128217504,6633690,399530306,790613687,8137968,141184006,641046479,4364658,908109,760900837,1030412,292599941,7900321,40246425,7939147,732235381,9231800,13074801,48502,732234466,919556313,332982400,735904896,6171100,898134360,343490681,2451328,32501203,6071383,77563536,145071892,112344157,910668,75780941,0,61673969,269410534,12117063,753429958,16762307,12117063,28953889,96521545,1030439,0,269272385,25238651,337510792,19076452,81877028,354468465,141279114,34205187,297615284,897269,128,13515,896035504,724294071,140919324,341809,644885,34205187,732233498,16771829,612157650,141279067,54781921,9710102,350401456,83627310,895754,29710898,6070490,144051492,115211,2452126,98435300,68264661,4732710,9192072,7384803,95308614,54782403,9588799,101115539,18710225,18393649,77667781,760937023,316744,10785904,185823,343490681,193601435,34759008,56362680,1192,38598976,895171266,70566355,888403,910668,147540596,99238713,895909718,173703314,558564741,1140963,54773579,8079132,94421886,85750088,15712,85261803,83544744,1148650879,14975377,145924838,13187718,10268442,85269973,387758379,9479849,8625,4438757,41390074,644677097,1510134435,8162747,956844263,842178,28879624,387710810,363582491,709899,140919324,22893937,246730,612149398,81665867,128,897142008,2697945,121537758,102384547,736710986,559460495,54772507,474,8970056,745033090,407,735841284,8333587,9278292,1133,77499590,558453613,1085906587,32744143,2658934,89669317,143435209,3584495,488622229,760931318,91271,10945925,13051276,28469941,1693168,1378146,1068,81129524,902177366,76060509,3584165,1188706,269352386,32531679,9531133,416638907,2697945,6148982,3551658,263267231,710045,33619040,12186066,21967576,0,343526950,73239,2451820,8535,77572758,81128556,731420916,38594666,28665355,259880424,54789536,1167283,4192007,4164369,28879370,612127133,36501,323223465,9513,2423105,94677,141274586,919332772,648422,51336797,336893260,59224467,0,330621879,4959952,7468496,96674948,5080732,1853241,27970,28386263,612165951,3575023,89331601,9495758,751050918,2555531,337455566,60763301,895909718,93090982,324108690,735832891,17266798,1567,3679164,895571681,343185142,12925490,11922907,49131800,102909224,89958666,28748102,860042,16796868,3584585,243331082,34135173,388893388,75780833,2426759,3592314,902177366,74189541,94417358,359115871,95338727,61420549,897836058,54785918,87039390,3588100,227316,5,158172,902177366,2423105,59,75780913,36142,161028007,81663484,90037499,1176,83635148,5832246,12020853,9834942,112138,29276345,44483,28477560,161,77431952,930508505,10014300,691769244,9524407,70838274,8391685,8644004,8022,26504041,28469026,147626515,298944802,760931318,16771860,14189651,20562,75354334,42539084,735491143,648019,36242,896054483,86019160,756168171,45597937,7855102,919531060,141487926,95061,3931744,1148568,918850103,919558955,7875631,332025,140937366,482669,10000,898126304,332731890,40482970,2224525,141269391,2406451,931629550,86172577,338072003,7948439,320811007,6155831,350401456,28889759,919568907,317859,287151864,979640305,4724329,88820890,622007533,28428952,130863954,4192329,103866333,679836790,96307992,919560148,903,1267667,387762881,137694902,1124912,85232742,20540,12423,747834584,60716149,919563443,5545647,227349,4959952,332025,6210941,38589192,41189773,85953089,1261994,9479849,33007709,718232,13076036,33969358,43567106,1730446,26461506,32469961,26206156,147634870,15960359,85261831,2563553,735904896,844356129,898126821,50049294}

Returns: {95123, 52, 32, 31, 5, 896050477, 7, 2, 709975, 77, 2, 8, 36193, 12, 309887298, 23186407, 4, 2, 30, 18, 371, 15343, 4200555, 7, 909, 6146932, 11120, 38587858, 23542839, 12, 64749439, 76529708, 48772, 3415, 822064, 28, 94, 3584187, 91613556, 2808329, 4442721, 167, 9494500, 37510, 39549, 9067, 12, 3539144, 2617, 88688, 99849, 28377719, 341805, 12, 57, 18, 41, 77572751, 60196446, 672046560, 8478, 259, 7625, 2, 19, 9497, 57171, 936377, 24204, 264, 28, 16771791, 1, 69917462, 6070786, 607, 4, 7470878, 75758438, 22503, 34, 2563855, 60798330, 4579, 919557007, 3106, 6633688, 11, 5, 9255, 967, 3345, 19410986, 7279, 165, 9850079, 32531695, 10, 129697, 64668, 900, 3, 334266352, 9260601, 79366, 898056184, 648906, 14, 65389, 85196318, 722784, 7226153, 1392515, 579529, 612157622, 31, 4, 880186, 387487, 72, 83545644, 90355, 29, 1143370, 32, 4732693, 444840, 585602, 7, 9201321, 40473740, 26, 1, 760900833, 81924650, 7817973, 269337414, 44, 8571, 18, 93, 73213, 6, 558539686, 27075, 2018, 109, 8441, 37003, 81101045, 7932152, 234899, 494, 4, 18735373, 91, 81663489, 4, 53, 54781964, 227337, 46, 3788, 835, 3, 13066251, 735832366, 590, 98, 97, 2451768, 58, 9806, 22, 8068, 28208, 469202, 945216, 86137489, 84, 42339137, 56899636, 4070, 63, 67780074, 79855693, 444, 754, 387756507, 6478, 29, 28888853, 921270, 463, 65, 55, 26, 8, 101, 34110175 }
{67719,9797560,3,78040,6909002,690495686,359201687,2,49777,517976,166136141,75249,157397,415861346,162434,1,3077,7,1,1,745856201,56572,7230,595993,7,2,62,741031622,57088,2048,69956,1237672,67,727750,2,378841515,975477444,471,65884855,609062,5069481,297520,2189985,54,612,6430,732705014,329,60,1,749349,44,1,110,9604879,1,1195,131,1,375,1,44495293,76,87,651,81442025,96,701,729945787,1,1,20,3518839,3990111,1,1,76500,546,678686,578735,1,95384706,2,148197,668647,66033,1,1,1,33,3188,245107885,1,64,71301,987425,291995,825567,1,12097}

{67737,9797587,205,78053,6909017,690495794,359201934,2,49804,517977,166136143,75253,157397,415861449,162658,1,3083,10,4,35,745856596,56572,7487,596001,13,37,70,741031644,57277,2067,70155,1237680,92,727750,8,378841521,975477456,536,65884883,609078,5069588,297904,2190046,378,673,6515,732705045,333,64,86,749433,239,141,127,9605023,69,1275,146,8,380,41,44495321,98,100,862,81442339,98,808,729945790,7,207,189,3518945,3990113,41,16,76559,615,678717,579027,39,95384724,29,148200,668648,66084,30,13,31,120,3212,245108275,11,65,71318,987457,292276,825584,5,12128}

{77041608,96554,1,5305,599,1,88366,38709575,560,832790000,868454,540,11105,52,1,431,70693,7845,5056996,1,7759,143167671,1,943700,8829127,1,7,688357085,3681539,2473,930443,1,6269748,49619386,9870,7,359828,8927,57477,552084743,60417,517162,454222055,203486677,51937619,1894,8202,25477453,336,780236778,44421638,8,710968029,249437574,578,86211716,1,426,900417495,39994563,1,987,24541,2093027,402517160,19351,51598,1,641,210409310,1,877,7550,95990,7158289,6878,277,634,2580,1,946511504,144721785,6637,1441,9029,885984,5879029,1,38622,1796,265095,8753365,1745182,7,8526,1,1,834,8292916,10}

{77041609,96782,132,5427,645,1,88388,38709846,573,832790000,868474,579,11178,75,17,434,70870,8079,5057317,204,7815,143167704,44,943745,8829130,13,15,688357090,3681569,2553,930454,3,6269898,49619470,9983,23,359848,8949,57490,552084757,60535,517168,454222168,203486842,51937648,1931,8203,25477457,341,780236801,44421642,14,710968081,249437629,657,86211734,22,487,900417706,39994735,6,1035,24546,2093187,402517165,19428,51613,4,655,210409336,14,976,7555,96330,7158325,6910,322,857,2871,180,946511528,144721835,6643,1449,9045,886149,5879078,27,38707,1809,265476,8753567,1745190,153,8538,12,94,839,8292980,260}

"BWBWWWWWBWWWWWWWWBWWWBBBWWBWBBWWWWWBBBBWWWBWWBWWWBWWWWBBWWWWWBWWWBWBBWBWBWBWBWBWWBBBBWBBWWBWBBBBWWWB"

{67,89,32,32,67,82,26,19,14,99,34,92,49,34,75,61,89,7,87,29,52,21,88,19,93,81,75,74,14,31,51,24,51,14,99,72,26,29,15,72,88,5,18,18,65,82,97,24,98,65,88,25,28,84,66,95,66,82,90,54,52,6,60,64,41,9,31,39,44,67,6,56,95,28,46,34,9,50,63,84,53,46,64,65,80,99,78,35,44,15,45,25,62,59,9,62,57,62,15,42,56,4,78,13,45,23,58,22,47,49,83,55,69,29,29,11,96,67,31,23,49,73,72,95,22,51,60,91,37,96,73,34,68,40,88,19,64,11,40,74,56,79,69,43,94,62,28,56,29,19,68,5,84,75,39,58,41,75,94,39,66,96,63,8,30,21,12,71,31,82,42,51,42,29,75,28,46,65,4,10,52,77,78,0,99,86,2,39,93,19,1,34,24,35,28,70,65,58,21,92,5,69,78,37,17,43,24,17,37,63,51,26,24,69,12,97,49,96,63,2,17,2,7,49,79,89,96,87,6,70,68,27,3,4,56,55,15,40,46,98,34,0,47,88,58,74,6,84,4,48,30,58,76,14,73,23,22,42,43,10,63,93,97,85,8,5,1,28,10,98,13,94,23,60,73,98,9,63,16,67,92,34,9,45,37,40,92,87,17,25,44,21,96,29,46,72,95,1,77,59,94,48,11,39,27,15,61,75,55,8,16,38,82,72,67,49,69,91,47,67,2,55,87,55,94,24,51,82,18,12,41,22,12,80,17,55,43,0,57,94,52,68,7,16,93,78,89,56,54,43,31,94,44,74,1,46,5,74,60,70,91,5,54,89,3,66,68,21,49,9,80,66,92,73,46,1,0,15,47,13,71,99,83,60,98,74,12,11,70,93,23,70,99,19,27,46,66,85,19,32,54,3,28,35,31,86,56,85,95,61,54,26,97,0,25,0,91,27,62,50,1,40,54,68,4,80,93,39,60,54,9,62,24,74,70,35,76,56,83,84,16,19,58,5,79,90,39,31,55,73,48,12,20,1,56,30,54,83,80,8,40,47,2,56,17,54,13,24,99,98,34,94,29,53,85,85,66,26,52,40,67,93,75,15,22,14,53,61,9,90,55,49,17,59,71,95,4,18,71,62}

{51,89,74,43,32,11,76,24,71,13,29,80,22,88,50,60,96,14,79,43,28,97,24,33,3,46,75,99,59,79,20,94,78,62,3,9,23,25,0,24,71,66,33,4,77,30,23,6,60,54,44,88,24,59,61,4,76,56,27,34,36,88,74,66,79,32,17,35,64,80,16,28,10,46,66,24,53,26,65,72,50,77,89,7,73,6,88,50,48,27,86,50,84,85,84,14,84,25,69,78,71,14,50,8,23,87,82,58,82,64,79,64,66,64,71,89,7,57,92,27,44,41,34,33,61,0,8,57,39,38,23,41,96,92,1,80,60,14,13,9,64,5,64,74,76,60,93,16,49,15,3,10,6,96,25,62,93,32,8,68,76,12,9,21,61,64,8,14,79,40,40,60,16,46,15,88,64,59,3,32,57,45,3,69,3,49,97,33,57,6,17,84,43,7,85,31,40,6,53,48,80,54,98,38,53,78,92,36,80,91,92,68,78,60,70,39,71,3,83,49,56,75,63,66,94,91,21,45,70,25,67,79,1,14,38,83,34,5,16,10,30,3,83,67,70,75,79,44,92,21,19,83,15,49,56,93,1,75,90,96,28,82,99,24,0,62,46,72,99,47,33,52,13,30,18,90,35,9,98,2,7,61,27,49,31,45,23,29,43,81,32,80,37,58,12,61,8,11,41,34,96,59,47,56,15,25,98,15,64,25,38,83,96,1,40,95,22,10,55,9,94,94,49,95,54,81,41,62,32,52,12,36,33,62,95,28,99,0,67,85,70,56,45,79,26,28,39,89,28,88,25,56,87,96,91,59,64,12,93,20,42,76,55,44,66,41,66,92,57,39,98,42,39,58,23,84,99,92,53,5,65,83,74,52,29,71,97,86,24,38,76,48,11,42,76,95,30,65,14,73,30,44,74,75,47,60,79,52,23,62,85,91,92,94,24,64,38,91,95,55,12,63,45,84,43,35,36,20,77,97,80,71,49,85,28,59,68,85,17,27,16,24,23,36,9,5,68,59,92,56,71,59,49,95,92,60,62,81,44,43,16,95,81,5,93,52,59,43,82,67,87,19,42,84,69,22,61,94,85,29,50,29,82,78,94,69,61,91,74,89,3,48,67,52,47,83,46,66,88,58}

{597,13,888600,197217201,6270439,81263,76892,8829182,163478,415849166,9342,944766257,780244082,28664,45164151,44496275,293949,38872277,579208,203486287,707343722,143935950,8790443,50347150,83457,782033940,73,7170465,40156871,658825,745863763,8891880,681344,187157,71329,835783249,1539644,4618,77108945,12340357,37793,690547225,45289860,11965653,81460328,993786,1172532,367942417,8292936,71855997,51899592,38594,5204804,40653823,44545794,5922231,127840,7908,1429119953,9614286,1686085742,359251440,7158300,402466246,798199,827038179,1245806,930317137,350579817,946512236,359216114,3737599,166017176,736321148,732748302,8819245,583870137,45171026,83515837,2851755,205765301,732711942,402516174,120132588,950405358,359277941,714479,422513689,51937813,1429388348,5883529,45171010,684118,39174180,832931591,187191,676993,24597,210408945,455730488,2188,6747061,44489404,415812041,1531288,1539749,900410818,900424882,25471204,377720342,432109,316306239,210357835,402515817,3671,76404,39001919,997,2982785,1427848953,728299820,4113056,3521094,49879084,44488861,77109155,50381,253860700,552684244,65649986,4241520,805264,729654082,6754196,9855801,946511465,402517962,87960,410852301,826149652,402517601,689916913,192108768,196328653,13415,24548,3738730,72577,780236170,479,729872571,525228010,358612371,299126,552693681,900392999,815089,6262969,29453,1281420863,127792,145902,831214859,143173908,45354739,259405091,118109,163443,658897,5123436,457041157,189,456338246,732708699,6362,3700103,1135213172,121417154,6835695,171537404,710967628,7054,603186,133435415,71318,774357789,826398,502584080,576,359290103,9886200,669513,194657812,417551062,2804260,1237698,76414002,1259530861,106326353,1744860,1637007254,220013762,8968715,65932789,249429658,204162744,7084024,975829295,946503104,251768190,1745450,729946416,9504957,210409408,168378,552300339,780235971,219653,2239730,780236757,9377,6811,36616583,780185194,516183,253859447,143403302,8407,359290045,69,729945701,1428809456,9810963,6746944,65940983,86358422,9463,685486787,732764538,173560554,990561,77046596,25623877,39354,900417629,7151531,358710853,52596542,8653560,143223807,1000394,900564159,76594,780399339,4085199,1539676,9886867,456405239,203224501,166712345,1645695,6736,814216,8009157,77058910,690520149,722996046,7135558,166992387,17184795,464753025,711030840,416209055,1000399,8951094,8030735,1211113470,831214864,8225141,712,36964382,44504095,884946651,780241193,1246030,5121582,1397345,4573,203478895,240106538,45668368,803400430,300605,900417097,732550478,40982943,938293,9818571,813614,39985100,229471,39994649,25551880,552692515,1429388309,511,52787173,6458,316306372,50326,65895216,65792786,298850,6367918,5129370,781224099,210416790,86856691,60734685,833307253,79730,86274550,780236937,87199075,9541553,231277299,814872,18013,1212653,711114274,646486,975829801,50178655,946486993,995561,82587394,203498837,90,1098,882770,710968111,729945110,38714184,646687,46,4300164,552691886,3029,13228698,203448337,1237597,78494,51938304,7450603,243966890,772691069,1093011970,7304626,63,745864032,688386679,690419489,95816062,51936352,124186,763417,729996690,141479123,780236325,280796388,938218502,456360344,550948654,904311210,733044647,9216715,77097151,1744759,223960363,274634414,81460774,137589,7305021,710968068,8292475,7157448,678389,5953759,8829199,65942224,1462811,374,63651,456412240,1429311890,731725868,948720,82243007,162676,10163492,10464793,52009669,3534003,378848470,26714863,5879032,577893,710148022,1335211,44518826,10424363,253861100,2569963,77036661,8829201,325542347,187918853,1175527475,1011852,42539412,9725796,7101815,9599970,729285586,210395220,1325352948,975837176,1297324086,1229,8779742,114239542,23761,771407677,6338415,3738770,418835764,729869463,950691,154827,1428711123,35,8829159,900069776,285341497,832850915,690757974,1281420781,41231853,84466577,4085093,515,40140540,1526085178,8906838,1746467,1000473,9628807,239956820,894574590,203536018,5076691,26464465,240106339,690494463,8166,720572421,455855455,194657706,18774,8293700,9902,79856,456407581,250097034,209589372,944631,44545849,79683,710148010,5125417,45170312,4454,333,681138,72475,210572047,293931807,209364981,826149623,266699,86284424,780236427,8660,670973818,25476854,840688,725803605,5005741,37785,900393099}

Returns: { }
{1,114969,85002,24658701,9627842,205785505,8202385,1,35091,1,887,34499068,1,1,55,1,9892,1226583,1648,811023,1631,7445,1,3,3910330,275102,41174977,559789287,67306,27,50720222,1,3549,9898,84974201,64300,77305776,500487,1,473670430,52728,1800032,86130,2785268,12456,824656924,1,174,1,13,3587,5846527,3331,5179,9306116,16462971,276,811104,490,1,122278,82,649286,71,62145,77228177,1,2297837,315951963,321820,1,26,1,7953670,916218,76,666348,6471,8190439,517119,424,1,34,807,1,34,733926707,9376668,569858,405809751,7903346,481809,1,82799845,586011,25909052,1,736,1,1}

{4,115049,85003,24658715,9627982,205785518,8202522,25,35411,3,889,34499075,1,85,62,4,9906,1226583,1655,811026,1643,7454,102,4,3910340,275441,41174993,559789499,67340,28,50720420,2,3690,9916,84974226,64331,77305939,500502,8,473670481,52737,1800036,86141,2785452,12471,824657213,53,329,121,20,3593,5846532,3337,5360,9306139,16462974,289,811303,592,8,122281,85,649298,105,62379,77228186,132,2298323,315952084,321844,15,26,317,7954077,916233,79,666425,6493,8190473,517124,486,150,63,810,45,41,733926710,9376791,569883,405809768,7903392,482066,29,82800286,586088,25909080,24,974,16,3}

{240,9596,9,8166732,34715,3,3034703,337,53220,749,668429312,24906,1,649363177,876454430,1775,651240349,872410354,1,831,959130,62599,3834874,716,61316918,246,6950,1383,627983665,1,1559,98956,978549005,2,2574992,1,631305,11356,607376869,1945,1,1,5,174886481,938693,9568,490,2,1,936,54612,956334695,1,1,54749,759860632,1,1,6328741,876,483290,417,526,92289,804,1,37,6,44,66931190,1394,184406519,201,1,8386,1,82890210,467766558,57599328,4623868,1,270,1,781,9277408,5358,1,8623052,237,42553,688628,1,50,42609586,1,1457939,4286,25,1098,1}

{248,10150,277,8166844,34722,8,3034704,378,53220,749,668429336,24912,4,649363249,876454434,2030,651240414,872410367,3,864,959159,62632,3834945,842,61317156,250,6972,1529,627983674,19,1582,98962,978549006,14,2575013,1,631611,11389,607376935,1954,81,1,98,174886581,938810,9571,500,319,8,946,54664,956334734,2,6,54749,759860972,177,9,6328891,910,483330,443,863,92325,836,1,39,8,49,66931348,1406,184406539,204,6,8403,140,82890212,467766582,57599329,4623906,66,280,48,785,9277525,5434,3,8623066,251,42555,688637,134,80,42609589,3,1458092,4294,30,1374,404}

"BBWWWBBBWWWWWBBBWBBWBBBWWBBBWWBWBWBBBBWWWWWWBWBBWWBWBBWWBBWBWWWBBWWWBWWWWWWBBBWWBBBWWWBBWBWBBWWBBBWB"

{33,62,87,75,45,29,80,63,99,13,18,61,45,8,64,13,11,36,23,59,47,82,8,93,85,20,30,46,77,47,52,50,25,60,45,80,66,99,13,64,35,29,96,74,44,21,65,99,22,87,96,20,28,7,15,92,35,48,10,86,7,27,35,34,30,72,89,99,97,53,54,97,58,4,41,11,20,62,13,82,42,11,44,43,31,35,15,23,55,86,0,69,44,63,4,49,0,59,44,44,93,49,59,55,58,33,59,20,44,49,67,41,10,20,57,27,32,86,24,69,64,61,39,72,54,96,44,47,71,46,41,58,25,34,0,56,2,76,71,37,48,92,38,91,69,15,95,71,45,32,42,56,54,83,51,61,10,62,20,76,22,60,12,3,12,90,68,71,80,54,61,64,89,87,8,71,71,42,36,36,62,84,16,29,93,90,77,68,75,24,53,36,28,91,94,72,40,5,66,33,83,68,86,86,56,46,67,86,99,52,82,59,31,70,60,45,97,48,53,87,63,99,79,26,61,29,94,23,38,44,47,63,66,42,27,63,10,48,79,79,55,60,15,94,40,57,55,48,77,89,88,19,64,48,77,79,62,69,6,31,13,20,65,39,3,2,48,94,43,30,80,72,7,71,92,86,82,89,15,37,48,7,18,98,84,10,12,19,91,9,93,16,72,43,75,53,41,88,25,69,54,97,96,7,6,14,79,1,56,80,96,80,85,93,28,94,59,63,37,25,13,86,65,52,14,97,6,28,94,21,47,99,11,47,85,21,71,47,41,77,53,31,95,47,72,43,96,98,13,77,45,68,17,17,92,48,23,74,14,62,4,71,31,37,73,31,89,21,13,58,62,66,65,35,90,5,34,0,8,80,53,17,82,35,67,66,2,87,19,42,93,56,56,79,75,31,53,18,37,87,57,36,99,41,74,79,78,27,79,85,27,21,62,82,38,41,84,40,7,15,78,47,49,69,4,55,45,29,89,38,34,13,85,87,46,47,61,83,12,68,78,24,25,7,85,80,59,10,6,18,94,78,31,42,60,23,70,45,51,73,20,69,37,24,95,43,91,47,88,80,55,44,52,64,80,78,82,49,16,90,52,12,28,33,94,92,0,51,52,95,37,31,75,11,74,46,78,3,84,53}

{52,47,6,62,29,82,26,73,49,21,18,66,30,0,54,83,42,90,46,76,71,26,99,21,66,88,62,43,21,91,30,80,52,26,19,65,2,3,17,61,76,24,68,52,56,62,61,38,38,62,99,71,34,92,2,99,7,28,92,77,18,98,30,13,85,22,5,13,43,90,3,47,27,50,12,70,42,3,47,94,89,5,73,85,74,21,5,50,29,61,38,7,69,22,40,61,29,7,51,4,48,89,33,71,4,79,39,82,15,18,72,27,80,77,56,78,68,53,8,61,15,16,84,18,77,46,82,78,75,16,51,8,96,23,60,57,23,54,18,24,84,54,23,55,46,15,49,90,73,94,99,89,42,50,62,45,57,62,44,77,52,53,73,85,53,75,23,0,31,79,29,58,50,3,31,68,73,56,13,21,67,6,85,27,45,99,24,1,72,75,56,47,85,76,14,23,5,26,4,4,18,39,7,38,86,64,33,60,86,3,56,50,72,78,11,32,90,24,35,1,20,1,41,91,81,16,5,53,6,69,89,71,65,97,8,2,75,86,12,90,44,65,56,93,81,35,11,64,33,79,96,62,16,97,83,10,38,82,34,53,25,23,95,98,88,91,59,71,43,83,66,27,38,81,39,14,50,70,22,17,36,90,41,10,71,41,72,66,78,91,38,68,3,43,24,55,52,95,55,78,1,2,15,8,98,65,68,30,73,12,50,92,58,17,51,92,21,60,71,59,14,28,15,57,52,42,6,64,29,72,66,81,71,87,1,88,40,21,64,99,21,25,51,78,79,32,72,56,93,38,11,41,52,87,85,9,52,2,73,89,92,40,10,5,52,97,41,41,7,99,61,22,52,92,88,11,74,73,42,28,10,47,8,37,39,41,90,23,72,42,91,84,31,47,91,40,87,44,38,79,5,10,83,87,69,88,69,83,37,76,73,59,84,75,66,93,83,87,70,50,41,42,85,11,45,24,20,4,27,42,28,91,6,43,44,64,90,93,78,20,86,82,26,92,98,52,36,59,38,24,33,48,92,27,89,11,76,91,93,55,82,42,86,38,8,59,62,24,26,72,60,36,68,96,61,6,77,95,20,33,40,82,32,8,63,14,49,69,87,0,36,24,3,64,9,75,30,50,98,56}

{6514,649544,6762440,649879,824666637,2,41181430,8046262,439,649307907,146,473,773944915,88230,9297573,649363252,34437942,69459743,170,83555757,184406671,41181839,88128,125339391,5554,1527024,50072045,177671407,467704852,481616,50718510,57769,272246,41529012,823855035,77227935,84954,32825130,224273748,62581,83492139,65227416,315956226,921156,950958,704016,77228638,607376367,603542140,17350017,3980,183449084,710315633,143,87148,216,64549,628050987,668430036,1201686855,1893,559789519,50657678,731762294,50724247,3834802,200066800,649362972,177671259,8586731,23464442,442,566116263,9644209,1800175,34522556,1043644,32175695,649363347,585890,405766214,171311420,8880490,177666596,1006919,119516,205787583,57514,776323540,733927214,607376693,67252821,66301773,3742526,9609788,613,206,407,961229870,10519574,125409292,405851353,10666,591917147,15921496,5131126,473671428,960804,949224,2662,2298083,557990670,668429810,466812115,811116,609196549,1294497218,733921402,65139011,67252674,63667,651249740,482945851,1770,477011351,3795,951179,65789613,184406630,651249651,960381053,6310359,279303,87548425,605188,811010,85767,91475338,184408218,64715521,9277550,9360728,607376081,775841916,67252542,52,27366144,191621372,816712789,979131233,86540,405851999,9274679,56619,961531348,824666236,669239706,139,31040,385536344,3838174,600098,7954138,32820078,5281,8591919,315952643,184406207,99304,13358061,611,6389900,405818337,15738354,80801,500358345,192360473,85967,726037304,77867377,1649083,14445262,651244806,559790772,784457192,8591647,410353236,315846810,333,65227423,5032,77937216,628045680,83074675,877040505,528,205732753,164617330,9662596,9652757,1737,157720494,733926956,1341303554,733926538,62766,2288094,734287621,733927179,32822211,196,57210,98818,65788274,34835047,1803192872,8591088,65227256,58987,17874957,868526,124304,5906746,40700025,122,651250407,205199417,6099,612544704,66301827,405852095,184314263,77228344,85312,559805824,177181,668430000,733926499,5141029,11321500,775372299,77589097,2348,124823510,52817,746952,777871858,63172,467769894,409873895,573828,162102,651291907,591,467771466,664321766,608025549,67253118,77231279,104420,649638249,960199,52777132,473671262,32255319,396710,1011,184992551,9,50720278,560,559790678,607376633,184406207,473672342,1610380978,58051,405851069,3832954,873125198,77937478,8591552,1798251,668429057,175129151,670228470,262,811796,65308089,482418,647567242,967182298,32825234,38,65227424,776318234,1796646,26797023,776048021,17200616,9236093,84314,2124,88100,11235860,953682424,320058766,50613662,7953744,392,53952,366,6323810,911374192,334130296,586222,69152,513215,184895521,275986,227091236,1361842905,77230092,808022,876457746,85355,107,627987800,586154,69964,202,226,218880580,17999580,119369,624685,184459317,69760,1738526,467772585,64704,374006,974939139,65789351,5140879,806444331,4101,1496,689553429,139616914,790173486,314151895,873633531,871937422,5300,963,4064,839550,884408571,405202548,9662534,184459234,668331105,205296467,7950781,99549,404052426,1855242,649362992,6328880,649234,3835005,77224845,64486,8021862,171311328,86624708,7954220,104222,628050635,668433889,873636628,88478,447710,471374544,1799925,8506936,17998938,811761,17,124927780,9277623,99298,5140737,481814,151697,17994504,949489,607865931,12858655,204974159,745102890,1305,16199684,67517406,4676455,17200596,559789229,4629079,83551206,551836717,69171,9926234,72,607376989,123609471,9277461,17947215,1129,56127,63989625,85739,4421,101083524,815054548,711096250,825605194,9662605,154020555,607463083,710315549,649844827,11231691,172854666,950624,62893,8591319,125407903,65789659,316909359,783335693,65227523,40906234,313,4333,3074,77936566,668429442,612544637,65225834,576244,65789611,99059,559704704,406128365,34523346,83555161,824184980,990678528,768369536,960693,67167128,733437643,549969980,27278700,177671118,168094,65227251,40611718,706,775717959,77600625,315948638,65998,759,54576554,467772946,27365976,650289546,8582093,49462,193,350629004,78644,678268,876454515,681,894928202,17996484,27366822,77425505,65128619,32825294,34460717,923953,552,100127763,32767109,9276149,4971}

Returns: { }
{64234302,1,3741430,717097,743794565,792555492,797382465,304662,728924,3369496,1456869,81618156,50,2,1,90746083,2,1,1,18678,730,1,1,1,5,51041,1,1360,8128084,986563,43893611,8494,6135,1,41,95107,3716207,43760503,2987,65672767,1,1,8040,30548,1,71525,536,74,1,5792833,1,695672313,42377918,418,724,42256,98893207,865930870,56216,1,321,3662,5,49453540,94292894,84395047,4103,4158,12312,659605,15766,1,1,717,68,601930,2609,54252,2932,6,7305834,6662,938482,3049338,989827,933,952306,652445,1,89425570,1,1,1,953228249,45,3368287,1434391,86273,234,1}

{64234408,107,3741443,717098,743794591,792555515,797382467,304672,729022,3369539,1456987,81618260,55,5,6,90746293,2,13,10,18692,763,12,3,5,230,51098,4,1383,8128084,986565,43894074,8498,6138,10,46,95114,3716300,43760619,3003,65672801,7,137,8149,30550,24,71622,570,254,8,5793284,139,695672327,42377961,494,1042,42258,98893426,865931123,56407,2,464,3749,9,49453554,94292909,84395307,4130,4182,12552,660005,15955,149,24,803,148,601975,2833,54378,2950,7,7305835,7095,938512,3049387,989869,1067,952374,653109,12,89425600,173,1,87,953228472,48,3368518,1434430,86273,234,5}

{868,85020948,8582,1,95,97620252,6309,4954418,504,9756922,5072,9169621,650,276578,59,23606,81431194,337182943,626744,256110,860193939,63337360,1,190100451,1,609,1365,908139597,89454969,1,23059,406522374,8741,7197079,510079782,89,42,7,1,695,709,9763,32,1,2069,1,879,48088,69779897,1,7308,83,30,816733200,9403686,1,3707,1,4553225,56941755,48182858,818,4216,99477,44,61374,839533,2908248,78048065,55169,689816797,1,9253,57982618,3928,5075016,704498,454,4,8243456,210885436,293,1,72,307730734,85,553285424,49,1,73464108,7271098,61148399,72,1,1,76389,7419959,1,4459389,522193389}

{887,85020951,8632,76,359,97620471,6314,4954611,513,9756936,5280,9169644,719,276677,177,23610,81431196,337182988,626790,256114,860193941,63337362,4,190100500,25,610,1371,908139814,89455123,11,23062,406522786,8748,7197137,510079804,97,250,220,11,1011,810,9771,103,159,2182,74,881,48088,69779993,6,7310,83,30,816733560,9403820,14,4148,26,4553274,56941756,48183295,899,4245,99535,46,61586,839560,2908598,78048314,55276,689816818,8,9327,57982629,3936,5075062,704501,468,93,8243460,210885442,294,1,75,307730739,117,553285456,53,9,73464311,7271359,61148401,82,151,5,76394,7420063,2,4459744,522193406}

"WBWWBWWBWBBBBWWWWBBWBBBWWBBWBBBBWWWBBBWWBWBBBBBWWBBWWWWBWWBBWBWBWBBBWWBBBWWWBBBBWBWWBBBBBBBBBWWBBWWB"

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{88,20,66,12,15,27,83,22,15,42,61,73,9,22,46,15,56,97,2,68,55,26,90,93,74,31,21,97,54,37,3,25,86,42,12,31,40,11,63,45,67,24,76,47,6,91,9,13,9,8,8,21,97,14,60,98,48,92,38,63,83,80,67,17,2,96,53,0,63,11,84,21,37,87,98,25,8,48,69,40,48,11,82,31,38,7,72,75,77,52,70,88,51,18,24,68,37,56,1,54,49,69,80,55,18,41,55,79,59,49,49,59,71,51,58,11,86,61,86,34,49,72,92,8,67,18,86,70,72,40,78,87,53,45,1,11,65,69,30,2,75,87,56,75,37,29,59,64,52,22,96,81,6,45,35,30,48,20,62,38,79,4,30,4,85,35,23,3,26,32,23,83,47,68,16,9,86,0,27,10,30,7,0,98,73,66,62,42,98,49,50,36,78,61,63,24,82,74,15,7,82,83,13,66,55,21,33,72,39,73,70,69,1,76,42,69,31,42,23,32,33,2,17,56,11,14,28,13,56,80,56,78,23,43,15,21,65,18,13,39,66,1,46,37,69,90,3,11,40,8,23,14,92,3,91,6,7,77,66,50,73,79,85,38,8,22,51,28,71,30,29,33,51,86,48,73,73,36,85,74,20,29,22,72,80,18,57,80,11,16,42,87,57,53,34,60,1,91,10,87,57,72,27,48,52,72,20,36,90,9,31,59,68,20,41,77,93,43,45,85,85,84,12,35,63,88,26,49,36,74,65,28,15,21,65,90,57,32,86,32,54,37,78,69,64,31,8,92,45,52,10,75,2,93,71,25,44,67,71,6,18,59,39,72,44,81,37,46,89,83,90,80,73,28,41,65,2,3,36,71,66,59,98,5,82,98,23,82,65,36,67,87,33,16,48,55,12,74,96,72,7,71,92,47,96,56,56,22,9,44,34,86,31,9,0,58,83,85,82,66,7,93,18,69,87,50,10,11,14,90,26,24,48,76,59,81,93,21,16,9,74,10,82,30,86,38,31,14,39,70,50,57,74,25,38,63,39,68,97,64,56,28,12,6,97,96,32,69,61,77,79,37,98,56,11,86,39,73,10,31,2,45,52,15,60,98,19,64,6,50,55,47,48,26,59,39,85,21,26,35}

{56941957,457,844282,510078563,84977534,1603810238,862881845,42233,98966059,4467676,69782367,61713996,13077775,98897951,94902,84976345,180216610,797302791,6636502,78753464,41727,81429748,7321712,953225751,74987,409563757,63327821,5591156,680428267,43760909,674955,3665579,554235275,8278,797387760,410219098,162889264,90073677,49546583,3678800,52258170,13127155,308012865,51127,1307455736,155441030,97109364,2635651,13126334,190829217,64066069,55093802,865845433,938374,47556992,80562055,69781331,70925,726216,49544261,1598117,218191328,5953363,267402597,556066342,8125021,808489849,58441930,53826698,90079788,225414113,127570959,450274055,659590,73600431,50960,1429905,69769849,743190286,353,119134528,262549673,2110643,406524545,3406,5252719,11587,3770181,599349,42380914,689896528,98896866,623223393,84961046,7271179,259147481,43767332,651222338,85020046,9403906,10265612,123621,218105251,9606,5050475,7261164,12401,9230090,56995193,63774814,5793707,52291858,7718,1385472584,5224827,87875346,601687442,4810,554233934,511066631,527986249,3742253,356,124070,1554960,907514297,554222731,683814745,155,337181754,2817,522846123,822525725,71364,437172155,90513555,659460850,123947,904064102,64881080,5621647,700671,98168685,855720606,43108389,338170058,60658443,94220732,42378515,85020883,959213252,2962,753504660,84385206,95182,44706260,65306515,860185545,3521,2262,50621968,748253876,107207655,649501739,97582429,104169,118619364,43043373,625904,13735,132119032,1598056,48143,328478362,81421174,13123396,1418264078,61186371,908168825,62600139,43902908,5249783,631439160,4458238,58036413,843860,4456139,7278439,5187222,8697917,57193,949511670,92235,725041,866087481,56941583,47960,3808,90761861,2346087,83518041,87737803,90510859,838452,97541231,929267935,7198351,81421627,65665856,20076733,732178271,3112356,85092463,4551569,94285096,704408,402040759,65664615,190100417,510076430,2546759,4568582,329911237,854338711,87071549,510080293,97307869,44147350,8167266,218191046,55018071,4583,885773327,31636,90769221,53934157,84960991,625555,279321,66507367,4127127,84782785,56941497,753628603,715426,7268446,714473,880779369,8854250,57670222,288990350,7754,3750531,721540,61801758,698490790,92323497,85075421,843490,522185519,58012041,961471284,890175524,650109,3020579,162889643,601378975,96596934,90769724,5636218,63249347,49574583,604949499,32044817,69503955,101853301,5355087,8189080,5675350,13122661,1555127752,82417546,277291,2903702,213582279,509452509,849970051,486221663,90783015,153879294,5607,5149483,865925295,816733254,510088146,38778931,437172747,61149042,1462531,654268,864993202,308711137,972371532,160503088,48410248,97573548,860192671,3719816,7279466,56950653,448891499,58393144,29877645,860236082,2903390,55159,952241992,29986,695600383,716784,646,309789808,85020637,8758955,48613885,406531648,5676152,88500752,863908615,6969,14556416,93124097,90041032,58863684,659460832,13064098,1056031706,11227,1418264811,190097815,9403622,43751951,94290125,712069,94919337,1272444628,5063815,98896748,689872826,46850562,523644842,5676287,886425611,1475421172,816734519,2999086,56939368,2976591,7601,1104116752,47556062,56942339,882404774,7394,2910618,816739156,43043426,81430706,98654869,525242266,7999308,170007356,122215489,97580169,13117348,84457069,88753191,860910022,410230320,7271296,43213793,56947907,4467628,888713587,934954,4459151,364137792,63297269,20220863,3716922,403617845,10056096,97919712,81383404,21598165,52628,308719916,4759,49746817,337173753,5252359,716670,218191095,4412134,8767529,98895818,14555963,71218,8516943,1707,306653712,1505560718,348548009,13126455,801697110,4558618,3047202,953227311,796450004,922045,700321745,1813421701,627315,7800882,860846264,4602207,1458258,72101627,743794756,7356823,218189647,98897486,119134453,84318885,56983356,707360,953929247,63337035,81431287,41795011,9883,744535,553299502,43917139,1248006007,3713787,407501171,71614,18782614,689830811,3742563,767041684,43913272,9453736,8246397,55339589,65674106,78053288,190186882,93575685,698490642,96868483,14816,1319569494,5705918,8845208,1454597,5063110,13121884,695618026,972298,1383282,43723351,505402840,47027659,553530014,269252135,3166325,846777,406563948,3969903,71969,42655313,90674880,114706607,5445089,6030015,30059834,713042288,8846897,65631161,522145926,267402269,49552212,100813088,65671042,10263,107208448,90768530,95756}

Returns: { }
{45,263937,252323413,98621836,1,453,63792,77214260,890320,1,85658877,21400,14,85822146,1,8912675,5584630,44427331,2037635,92,54913,1,56322853,7095624,1,227,456621392,603,114,3069,284077660,148389,1,103062,130839,469152,9,4570,581234,1,20740,672193525,4336,16033,217,230,1,131,1,5935,1,954779,8,416,80,510,111026,5444,45487952,66703,79788687,52883,199,729507972,1,435,880120,975495,9931635,1,1,91597659,2250868,1,626968150,20,1945,93555071,1,4299421,432239,480772,78933,451,2833179,628114,95,408157121,1250074,552313,1,65531437,22337594,2377616,1,2870,209555,7810,352586230,1}

{113,263966,252323422,98621959,1,663,63803,77214260,890322,59,85659301,21400,232,85822181,14,8912677,5584704,44427333,2037638,111,54922,19,56323130,7095625,9,242,456621396,957,147,3087,284077686,148436,91,103349,131000,469179,79,4600,581478,10,20742,672193534,4426,16088,243,246,340,183,9,5936,3,954810,33,564,433,672,111043,5500,45488241,66745,79788702,52883,439,729508269,51,448,880190,975495,9931848,16,1,91597941,2250971,3,626968201,22,1963,93555333,62,4299421,432247,480777,78978,456,2833443,628121,116,408157448,1250175,552532,5,65531517,22337630,2377642,4,2942,209562,8081,352586272,11}

{94129,747881,660,4917765,939,71842073,1,4796955,29379,174046566,78992,1,1,953,279806744,1,48948059,5039285,1,4,46,148327,1,99634013,531433,1,992650679,60,411726957,1,641742,6675576,694,6,277868179,289113,854351,33,93951,3181,751,46610,1735,628917,14895996,28,8888402,1396,460480220,84776,829604300,1,73292,7930,257,30745,7084,1,409,1,80010,75173,6545,1,7991371,1,444267,50512,8,497,320,1,1,3,38006,930,835687,9416232,407745,1,878,60487093,25,1,6313558,381,78418677,4,6875,616456649,46496,759405,28543279,1,1,857,257447209,3902417,496504,6171541}

{94156,747884,676,4918008,1120,71842117,8,4797109,29458,174046577,79005,4,67,966,279806763,189,48948078,5039332,39,9,372,148364,8,99634142,531459,52,992650788,65,411727035,37,642015,6675611,739,69,277868444,289538,854355,48,93959,3405,962,46616,1735,628968,14896046,90,8888407,1443,460480221,85229,829604332,17,73298,7932,265,30751,7102,10,518,178,80232,75371,6548,2,7991817,74,444410,50513,11,581,331,2,42,193,38050,949,835690,9416249,407745,6,881,60487217,40,434,6313660,594,78418801,8,6916,616456653,46752,759779,28543486,12,232,868,257447565,3902518,496640,6171555}

"BWWWBBBWBBBWBBWBBWBBBWBBBWWWBWWWBWBBWWWBBBBBBWWWWWWBWWWWWWWWWWBWBWBBBBWWBWWWBBWWBBWBBBBBBBBWWBWBBWBW"

{5,82,80,42,45,43,54,8,25,57,69,65,81,69,47,49,72,92,0,50,74,19,79,67,94,62,98,83,24,29,42,17,81,22,15,78,87,65,11,71,56,9,32,98,4,59,21,18,81,13,55,23,68,18,60,94,64,19,6,80,33,77,63,22,34,46,74,72,64,18,31,77,3,56,35,54,93,99,0,60,49,16,86,84,72,73,98,96,44,64,43,46,4,2,22,63,11,9,75,89,43,11,43,78,21,62,18,93,85,56,85,37,19,95,41,8,31,34,11,6,88,4,15,31,81,80,75,41,51,4,42,71,71,36,48,21,32,33,95,20,42,58,85,93,55,97,64,13,80,77,58,82,97,70,96,31,47,55,10,12,89,38,38,70,37,94,14,55,25,99,18,33,69,75,14,40,63,75,14,32,75,24,31,34,44,55,97,45,41,59,33,20,40,62,59,87,56,54,93,99,7,93,25,65,88,75,46,17,46,8,43,54,57,44,63,61,75,2,58,80,92,55,1,34,21,17,70,59,96,9,22,25,47,37,48,10,98,94,79,46,77,63,47,7,9,41,55,38,26,14,87,13,17,33,17,9,18,54,99,27,93,51,30,61,46,85,19,41,19,26,6,76,19,40,35,29,33,26,92,87,4,13,39,89,34,41,88,56,13,81,52,49,58,98,41,94,43,75,58,74,25,98,29,21,71,14,13,36,68,19,36,39,51,47,63,71,16,91,76,33,93,63,54,46,44,25,77,41,45,1,16,59,53,47,85,3,26,23,18,96,44,30,88,34,9,73,84,82,30,98,52,4,18,92,24,67,62,72,31,63,53,58,11,7,17,6,21,70,37,27,26,93,40,16,39,12,83,66,34,26,48,20,64,19,49,74,22,82,55,55,55,31,4,59,26,89,26,66,93,85,11,27,11,73,7,21,88,60,4,84,63,97,18,24,94,94,83,54,9,40,35,9,17,32,58,60,49,10,90,33,11,26,22,55,71,65,34,89,72,25,80,3,25,58,56,86,9,85,77,37,82,80,59,96,81,61,55,87,83,73,1,36,83,36,52,19,94,76,3,72,59,10,48,30,90,74,37,59,43,99,2,86,67,54,13,28,4,57,84,86,84,79,23,45,87,64,29,31,0,16}

{63,83,2,55,7,51,0,57,87,88,27,1,38,22,50,97,16,24,14,72,38,4,81,20,40,3,70,24,99,45,33,36,32,18,24,36,26,23,46,61,33,22,85,59,93,35,13,23,4,2,8,64,26,9,15,20,63,2,57,34,11,93,78,99,9,58,6,71,90,28,5,92,56,74,52,65,19,79,61,91,31,95,90,46,10,64,36,46,72,0,35,5,98,74,2,93,25,60,13,61,48,62,7,66,8,80,76,90,20,27,8,28,12,30,77,61,43,57,53,89,70,58,97,73,20,42,3,44,84,4,96,91,42,84,18,44,9,44,26,94,11,93,23,68,42,16,75,83,77,56,68,51,14,5,96,14,88,31,57,71,52,96,33,98,12,67,43,38,82,4,46,59,85,92,97,26,71,92,34,11,5,38,13,38,12,64,30,47,76,52,93,8,97,37,88,40,57,16,25,44,86,85,85,7,70,94,35,75,3,13,48,4,89,73,76,72,57,40,20,10,71,65,67,41,51,39,88,28,82,13,19,6,42,65,12,24,88,15,71,97,8,40,83,40,13,88,25,93,61,84,67,43,81,70,1,86,21,25,56,76,50,2,41,77,79,59,85,48,74,91,83,49,20,87,14,7,45,56,69,19,12,20,29,48,35,17,74,45,56,71,40,91,58,41,85,55,13,79,77,47,2,96,3,69,0,74,10,93,66,18,9,67,52,75,42,17,47,54,39,8,27,50,18,27,28,37,6,25,18,54,17,34,6,1,93,72,31,44,13,49,58,30,84,82,25,13,40,0,79,18,40,66,82,12,10,49,9,75,60,97,87,89,9,38,10,79,27,84,4,77,24,53,36,88,31,80,93,28,0,67,80,13,48,16,82,99,46,19,6,87,66,93,68,64,96,85,93,12,45,20,1,8,29,20,91,24,39,39,6,49,23,57,13,91,72,78,66,49,99,92,11,81,8,15,8,33,55,13,11,42,32,96,56,75,5,13,32,11,98,39,6,85,85,18,61,80,64,65,47,75,43,23,90,64,33,80,76,26,17,74,68,73,11,72,30,44,59,15,41,96,96,48,90,66,67,79,58,95,95,65,42,73,52,84,76,40,88,13,5,32,87,2,54,81,85,33,34,77,99,91}

{801349417,78503,251891385,32859,82011078,1567668,93917,914281,408157197,1251541,1205,1011340,60493853,56323472,829603020,3819226,52281784,50349551,279712657,831855161,626442600,1208,64305753,970998,21413,103532707,353082547,531844,5640101,2904,100693,48612290,60967086,54285346,9444112,446618,1041114729,106729257,8909802,91619950,14774,230369534,628346,353016129,2378744,691915,85969549,104692124,60966764,166501545,891147,98737962,1439340521,176084200,70956235,54921,737499777,252323969,58361,278168550,81934,100593954,729915722,62494511,103952606,54376126,626942411,89346827,7945108,413764466,65314229,90344877,103421580,626888108,685359,558,2377536,10470960,71795,14936750,6732990,54528946,78372086,5408133,83487358,7991793,352943985,248768483,17146590,7897714,792530,62954351,353081758,374682146,196001089,727130353,21164,253755021,85822149,616880909,459867333,27503,81366415,916741,1009255,437474,2871368,2424316,573508,117280,291212,411731389,140,284715933,588007834,883203,6179053,277993733,28904,616945156,1256657,45488839,12807293,6823998,60912876,428742,103538726,687042676,8192248,0,257650796,26825952,91595035,8292667,462517857,14747897,174045930,14999075,1449268411,54921,18771,43111129,106101246,7554018,32859,50622459,7990873,85822612,102538458,102853469,35557111,875873,275912122,71842427,0,273279532,1255411,6792748,85732827,91597711,616935659,257725299,572094,353082547,4611,1025911,279193855,644174,78714,6170421,10926043,36588,628214,50880034,275912122,1449250657,637910318,50880034,2069559,22029,71841793,1018959,92348417,278224703,14896158,7961565,287330296,1478,672980650,140030,2274307,864720,3914593,10667,1190239,408137456,112664,54532353,2377393,8724699,150835737,1749912,628269,82010862,1256657,870,9068049,49465688,102592568,84960294,459867333,951,617003517,14896233,730341709,2273123,6372,252302779,45433747,85305152,97803452,30752,1408899,949884102,1103123,49463243,1256657,411793569,257577929,259867770,56322882,63561,4517,4170,460480169,86111728,351825890,8912761,87298242,4993786,102051852,729488005,1713,81989859,259867770,670983158,31010,1890105,1449144110,276326469,407232446,86434094,99394343,103648,48454808,95627978,2185979,400,6275484,836817,831981953,251369291,388711243,102843525,13187826,561767,628412,1132627139,627006115,1382980914,63388,754587,54904,408137456,279986385,82008292,103148,1449154054,50880479,408157340,1068,85768106,6469,156528743,277916826,632758909,625749231,117822,85717263,151603993,93263,66200236,0,320057280,671611630,31162,86434094,4300346,57482825,627004642,252323826,609327418,103536616,147841,91691745,906736862,240918,3231971,9495734,2037548,173192217,1022596,1028071,612,729505353,52209650,54531123,66290904,834238,816391,2376921,1559112306,2037805,8889110,396831072,4384,102907772,672239899,2037467,1011498,82751441,277932431,71301,1010268,1749912,101288775,1442448160,91833522,83785476,257565875,60383477,0,7890042,277920219,174046795,85823107,9125522,172993,280420266,351045240,93263,1323366,1958729,50880917,86111728,1004127,174040456,2251759,86235668,733402598,408164937,661392059,174067959,81335936,46192279,4235627,149046,9146699,5679,102970749,1448740717,2385133,874319,53275712,6820595,433040,2377220,412162720,277905006,1448246159,460911587,85768106,452488421,54532596,158052,633101660,65211377,78857,94027,408187663,1293229,8904835,9932744,8058539,1191615275,616532052,1446894539,1324404,2377455,573508,990442,918897,18328,55001,15720116,383105,1253578,79865505,64912,9056015,822046493,3904794,83785476,65759803,2250921,407656,1323984,90668,167875033,50859491,737261,114040230,48546925,8913306,44626807,79765578,59758,240918,68087,100693,22029,1191615275,56219027,30292,163439099,85822609,277998382,616987561,350831962,3627,369314,102911175,628269,43451117,126234,78849952,166054774,628011,102970003,5486,691795,106296640,113431,249665090,60864547,453657,806391,1041114729,49466151,627006212,10415541,854356,20991,3105179,284646382,14896136,66828,9746404,578442757,259488612,257590141,546060509,460433529,283395201,979314,622706798,45484124,64705,641198,6171930,252320127,78418771,998273,9146683,86654938,411746802,1255868,85817667,68361166,78417980,411637702,248024652,106729415,60967595,407529716,8095117,277996105,96147575,6077455,108135139}

Returns: {69, 94154, 263965, 747881, 252323413, 663, 98621923, 4917765, 1, 1120, 662, 71842073, 63799, 8, 77214260, 4797102, 890321, 29408, 9, 174046566, 85659279, 78992, 21400, 4, 16, 67, 85822159, 954, 14, 279806744, 8912675, 92, 5584631, 48948060, 44427331, 5039319, 2037637, 8, 98, 9, 54916, 95, 11, 148345, 56322979, 8, 7095625, 99634014, 8, 531447, 242, 10, 456621392, 992650680, 776, 64, 147, 411726958, 3087, 17, 284077660, 641972, 148389, 6675587, 90, 719, 103326, 12, 131000, 277868179, 469152, 289511, 14, 854354, 4570, 48, 581475, 93955, 10, 3401, 20741, 762, 672193525, 46612, 4360, 1735, 16060, 628945, 243, 14895996, 246, 60, 241, 8888403, 150, 1428, 8, 460480220, 5936, 85074, 3, 829604301, 954782, 15, 32, 73298, 491, 7931, 96, 264, 512, 30746, 111028, 7084, 5456, 10, 45488202, 518, 66745, 15, 79788687, 80227, 52883, 75173, 438, 6545, 729507974, 2, 8, 7991801, 448, 74, 880161, 444270, 975495, 50512, 9931636, 11, 12, 505, 1, 329, 91597660, 2, 2250873, 42, 3, 129, 626968150, 38038, 21, 945, 1962, 835687, 93555313, 9416232, 7, 407745, 4299421, 5, 432243, 878, 480773, 60487100, 78933, 27, 453, 48, 2833195, 6313558, 628117, 400, 103, 78418682, 408157335, 8, 1250090, 6891, 552314, 616456649, 5, 46696, 65531478, 759768, 22337630, 28543280, 2377627, 6, 3, 93, 2941, 868, 209562, 257447235, 7812, 3902420, 352586230, 496591, 1, 6171541 }
{1,6817669,1,562703223,1,1,1,122,287880,7586,1,769508533,6405130,4734473,758810145,6399,1,421360,7,9189588,59,802594,40,150486551,337,1845933,879,887,35405599,2700040,3733987,5777,565565822,47825345,17193,94356,1,1,11105,10,1,6753,307,766867,1,172457,9421606,10,383,43584,4,386,8,1,2,9752,3,20801541,30573978,1,9559977,1,1,17578,44493799,1,429,351826224,789952852,63,1,20067380,1,9223384,79961793,42277874,23891,4855234,459248,398383,1678,1,210105376,1,1,1487691,2,1,1,1,80,4633,5857,58271624,91,973614,1,488207616,454,880440}

{1,6818112,12,562703240,2,1,23,465,287976,7590,138,769508535,6405134,4734631,758810173,6503,5,421524,36,9189609,166,803001,40,150486611,371,1845952,1024,895,35405670,2700159,3734187,5792,565565999,47825491,17195,94357,4,4,11177,45,12,6784,326,767258,229,172460,9422015,33,387,43588,80,441,378,157,3,9872,9,20801558,30574133,1,9560037,18,1,17595,44493870,6,438,351826228,789952894,85,183,20067395,6,9223684,79961821,42277879,23896,4855374,459500,398412,1818,40,210105383,3,1,1487787,4,2,6,3,101,4906,5866,58271632,181,973653,1,488207670,460,880444}

{849199035,1,1,2743476,1,75550286,43306819,7,2436,292,1,86,11406973,756921,79009,79220037,40,81166788,684,528,288810428,422793460,9559,588639542,954522,55247910,7920336,82659309,19,64891,917797451,1,760359175,3101880,1,896800,261368927,654852,71925,1,10,684883395,53335,3,956595,55,2043022,6381,70561,7957,38947056,161,2721520,9058,2,1,800,19685829,3342,84691611,5,8614354,1,6392,6,49,73761913,710,16319753,78,499558,867,2,834924,1,1,928,3263600,628,1,386,673584215,2024,7847,325969027,1,29,6427,969,685000,1,36,1,51,95029,4261216,43043,5347,1,1}

{849199057,1,1,2743501,4,75550287,43307040,8,2581,307,1,106,11407096,756962,79165,79220139,346,81166903,970,570,288810450,422793486,9646,588639821,954665,55248186,7920346,82659645,46,64898,917797462,81,760359236,3102010,2,897147,261368931,654957,71942,6,37,684883426,53335,294,956595,185,2043040,6456,70806,7962,38947404,167,2721663,9085,7,206,1023,19685836,3419,84691625,5,8614386,140,6456,267,146,73761940,737,16320024,345,499587,984,5,834935,1,3,962,3263604,651,1,667,673584409,2035,7943,325969215,1,113,6477,991,685224,13,38,101,58,95033,4261227,43047,5347,2,2}

"WWWBWWWWWBWBWWWBBWBWWWBWWBBWBWWBBWBBBBWBBWBBBWBWWBBWBBBWWBBWBBWWBBBBBBBBWWWBBBWBWBBBWWWBBBBWWWWWBBBB"

{75,63,16,76,80,48,19,99,69,78,2,81,85,70,31,81,50,20,42,98,51,67,57,95,8,83,67,30,56,22,75,26,84,42,66,16,68,58,91,91,54,79,8,39,59,93,53,67,69,70,16,53,15,63,12,68,70,98,80,89,73,48,27,61,12,23,43,12,31,29,45,23,37,36,15,38,20,97,92,36,47,70,25,83,6,35,73,0,49,69,47,88,20,67,11,89,81,99,89,44,11,21,73,46,6,2,37,22,75,13,20,7,98,51,27,35,94,10,26,88,13,16,9,87,27,32,23,5,87,8,98,95,58,62,65,37,7,67,29,44,23,54,85,87,61,38,72,89,50,62,86,85,85,62,94,68,61,49,77,41,81,70,84,80,6,73,84,16,46,67,35,34,55,3,9,69,58,5,30,45,36,49,9,24,59,51,16,36,8,50,59,19,25,16,40,47,87,98,47,55,43,48,4,97,70,89,95,1,91,29,42,92,52,95,14,78,15,66,28,50,39,35,63,66,32,98,61,89,99,41,92,32,91,58,38,64,63,32,50,57,98,92,83,25,33,36,73,16,47,36,45,99,24,3,37,65,53,82,53,19,44,91,1,70,97,74,96,27,46,76,26,0,59,5,1,59,99,18,8,3,40,96,68,17,41,85,66,78,53,36,65,62,29,31,88,25,77,79,56,60,38,77,87,3,84,27,43,38,32,8,53,98,22,95,5,12,83,11,89,84,55,70,73,32,71,23,54,50,78,47,32,89,78,93,69,65,90,41,4,80,29,14,78,30,25,20,75,20,76,22,28,33,77,71,16,32,22,92,86,56,61,70,74,40,41,92,1,25,66,6,94,29,52,82,2,16,44,78,72,80,14,81,51,32,88,8,24,21,60,44,47,43,9,97,62,95,26,28,11,32,71,45,10,24,91,92,23,85,36,64,24,36,52,28,12,58,81,66,35,23,70,68,65,74,71,51,54,59,85,26,72,34,70,75,12,48,4,23,30,21,99,0,39,19,10,50,82,18,48,46,42,64,49,87,26,33,46,5,29,70,19,27,2,51,67,32,79,51,61,49,35,24,72,46,19,29,1,37,96,27,92,27,86,14,89,71,31,33,53,35,44,27,66,30,40,27,88,15,58,0}

{15,45,15,65,64,67,57,9,81,52,85,21,18,44,36,88,63,29,48,55,45,47,19,22,37,97,2,32,44,62,84,56,79,61,53,14,69,24,62,39,85,42,82,79,68,29,4,3,6,71,73,70,64,95,53,11,16,50,19,16,4,77,52,93,53,77,65,98,25,50,15,80,89,68,64,43,37,85,56,97,23,95,48,33,79,48,34,40,29,10,61,16,46,79,23,81,51,99,68,4,10,44,37,2,80,40,5,18,35,17,35,79,71,70,92,76,6,60,75,85,83,76,42,34,41,62,90,5,91,95,30,48,83,67,35,77,60,76,56,51,90,76,84,74,69,31,40,36,8,23,90,7,94,75,22,71,39,36,12,35,69,32,87,8,8,68,27,32,0,94,94,59,24,4,80,23,6,42,48,19,65,3,32,76,27,22,44,50,9,85,55,9,52,8,99,70,21,82,89,89,98,76,1,25,99,46,73,24,77,80,77,2,94,55,77,29,37,12,96,18,34,69,72,80,11,42,73,17,79,28,36,98,49,5,13,35,10,16,70,90,13,76,31,9,2,56,28,66,80,57,75,82,39,33,93,97,32,43,77,48,88,55,93,80,73,43,42,99,4,59,14,33,92,99,14,72,31,14,9,21,28,91,33,28,11,51,45,99,55,60,66,81,33,17,72,93,26,60,86,51,61,59,24,12,4,93,12,50,65,63,19,57,26,79,29,43,48,0,28,9,80,93,57,51,91,37,55,70,12,64,3,59,98,8,95,15,98,44,77,80,20,92,52,30,57,23,51,63,29,58,64,73,66,55,13,87,22,26,20,86,30,25,23,68,25,41,61,67,74,31,51,12,42,84,74,91,70,39,10,58,80,73,28,44,43,99,59,79,88,76,29,56,82,18,17,52,72,75,1,66,52,35,76,37,99,2,30,43,48,3,4,20,86,84,16,71,82,74,93,45,34,81,84,7,64,29,56,6,37,5,45,97,96,41,90,12,33,98,15,98,93,12,9,62,95,22,92,48,73,72,5,66,0,34,20,51,76,22,18,95,44,15,45,7,24,36,9,46,39,98,96,73,40,45,27,15,9,8,98,10,8,15,39,18,17,68,54,56,98,80,22,37,57,90,0,89,23,26,62,10}

{121491537,161239,79226461,24793,44492486,351895860,31297246,873164,673584317,3180268,1487705,251593851,1488676,457209,261374715,673583334,38958468,291445518,17493,9504,172131,351831859,31297248,5225189,940381,488210238,351826951,719269966,955975,9678,368247089,7920429,326367602,8561319,73753197,758889113,806272462,31524816,4810,4801,1487715,451413,209817820,398379,858324706,55636429,9176,213619741,43306826,20566022,10058552,490581,123707461,5210849,17802929,36763999,499559,38947757,9188026,684963,10058594,8047841,79938860,66885924,17802928,731007121,766908,17811648,57088162,41582453,79386065,739123994,30149,1035002009,123707459,827684,288155634,486725278,6677,749571227,739119701,4735268,57022817,50919427,43705208,920367,10041401,849199043,2713389,160,8607982,953,296189360,351428573,1207661433,672899325,673584588,1,805587625,956811,769508622,422639650,9403743,11465030,43308136,18,74895436,8704,43080663,84723162,288007578,397945,20067814,499798,82664612,966653,43211881,9559980,50197295,1488702,5483583,24803,60305,23663,602229649,1325925038,739126000,0,11205,4944451,921531106,5163733,30578572,351826959,991447,7464124,9559532,351802560,2764095,956651,739125998,24842,327456928,79968264,8614352,77239,8,260683928,39232834,739126096,122,1487272,1582655,42277875,85440,786204355,8614357,261404555,9693130,684073823,673584318,1325425436,325962744,288315,43592352,796214028,243310459,1325924995,856578043,351920434,896380,84708818,963735,565446700,5964,739125935,73877456,75497260,921460428,9017613,261368885,565395161,1325917147,977117,2032867,9875,956769,222421624,282528,40435016,84701176,9182237,54372285,290376,880452,493205,423589993,210106946,678632,694550,766413,93300,6817670,541604361,1379966,10780038,11676297,7771854,8114164,2762829,8065335,5847,2626713,5224909,757139362,2305052,78571651,68759657,35448637,38946483,17185,991339,24018,73762816,964301835,53482,17003073,80903293,482057,720282207,261374783,1325924583,46731,106120919,5408495,45296587,24020,1325924994,38447856,40487278,5491066,18991,13728,57086060,50927359,261368105,27016868,73762331,7681,262484631,42105470,209226959,954848,515236142,58926429,488212938,1325915862,209340531,8109799,9259441,955819,5149,51454007,500838,479813573,79194930,10599,83539198,11465036,84714558,766650554,893922654,84697479,76430730,752071487,84691623,874653,758888180,282526,981950207,35405645,47780,755345257,116151074,1454385053,1487439,73933905,421826,18492,270928901,73762321,673584325,48162437,81582504,988,111673638,9511190,9161594,803,9559699,8553528,86283394,948388,564961588,325969215,140930335,17045236,38886482,1325924985,274366,9198014,40486919,7911586,4836482,78185437,17045236,63195,1618707493,36090595,325976493,8237,58771100,30428781,1325924442,20063460,738471244,9954,38447855,17352226,44500165,760478337,84006625,459422,57986048,5234706,79226450,358,683933368,8118975,1,291445517,758883299,3180269,0,54517767,450315611,42277601,288821532,2740083,30580234,9088205,40868771,75353271,20058312,5491480,1325918567,1,7925278,288810453,805,912917202,56594349,659164301,806272615,631474550,684884322,15432017,405227554,153723296,43312612,95213,15047174,2668627,536072564,79961787,4772,457211,459869,2,30575245,758887054,681973040,35405321,1324968226,767851,594913,83737439,423198076,9560961,979310,2758533,767687,210099511,488212016,81588293,2513202,7921263,6872281,762690954,1252162663,22788152,975192,24848,300008,875706,5848,475910369,720848,261298560,520952890,954858,27441558,2721636,361374808,17812060,10509077,883687665,153723296,59074367,738953583,516716,1447217395,325969171,79961353,24427300,2764337,832,41384803,2142566,67630865,172511,488195799,456557,727154487,17812006,17740969,50927367,739125642,842305058,423596006,57391234,844197208,7883,9190128,5234867,38937777,210101544,70159,9987459,11465034,75497260,118255300,849234679,23661,280890948,50926771,11440189,75540685,2763955,4735266,10145450,3445095,172506,167,352779678,1064556111,391109,11464443,8614355,51086,948458,9342911,6,11292522,91847829,81848811,6810391,940381,43499,82660529,284561,3445096,36,758888182,80903294,786204353,5789,50926530,9395,989398,947131,82005678,74877206,921531466,849199044,81975530,739125106,71305239,30577348,849199053}

Returns: { }
{645309,18014431,456787,96291,1,10,7,406,1,676529,4744721,5743,27439,25,55483454,7988,71985,18436,6936915,1,1,980705479,526171825,56209899,1,403,1,45475181,89848,859049,1,37061745,677298192,75019,648315862,520,528511721,123980,5993930,744920007,64266738,74,520913,6199,8740938,96631,239266,27296,512527,14545121,4101638,67157,2,516834302,23808190,209240727,1,23494762,81711681,1456,1006,987838,153453746,8889,345148,9516,4042750,8678363,7120,1,7119842,1,905566449,2620,3910499,25214,3245,409062046,486,94322,1,726,1387,14327,93562940,200323612,50373359,11,4711,56687,391,1,2948,66,1,1,42901442,4704494,9279,1}

{645486,18014435,456976,96445,19,28,160,434,91,676697,4744724,5778,27442,82,55483455,8250,72375,18440,6936997,7,4,980705714,526171827,56209900,1,405,6,45475414,90141,859066,8,37061850,677298230,75030,648316022,525,528511736,123984,5993930,744920033,64266739,97,520915,6397,8741137,96633,239302,27315,512639,14545314,4101872,67286,28,516834442,23808307,209240743,1,23494894,81711682,1479,1191,987841,153453815,9030,345158,9804,4042962,8678395,7122,23,7119843,12,905566532,2620,3910600,25253,3711,409062180,534,94340,1,762,1391,14500,93562984,200323667,50373384,12,4717,56693,402,1,3226,105,17,1,42901459,4704513,9279,17}

{1,51,194749,443401,300588075,3,5567701,59105574,8,22118539,59462875,1,8883,1363,77,53197,2725,57890,1,1,6346,250,83582,1,78947,33939485,644296721,666627171,1015,651023,7860082,537,1,234209643,16419,616,419,1,129812286,1,1,4410851,48885,877,165554,79,56680,650147,61111,4,1,23,254,1,68524,27205,17909515,1900733,7430640,17854,23084597,958,94959,7,51377,814759,7303,883,1,49238,9960,617985361,462445305,73057866,42,1,1,1,36379,257,55055564,34915147,68,701,3208,92478186,818481,199022,5532913,1,691,11173260,228,170,64,4688330,1,91,1,8460308}

{3,245,194983,443488,300588078,6,5567705,59105741,67,22118555,59462880,18,9014,1695,97,53219,2758,57994,4,1,6358,524,83625,9,78974,33939560,644296754,666627171,1022,651034,7860274,554,21,234209694,16586,621,421,25,129812290,244,4,4410852,49097,1104,165586,87,56717,650201,61157,103,16,25,272,6,68529,27217,17909521,1900894,7430686,17854,23084601,1173,94964,7,51416,815039,7409,1207,15,49455,9969,617985362,462445391,73057876,213,27,71,15,36783,320,55055572,34915165,70,707,3320,92478199,818630,199132,5533090,1,844,11173598,233,344,81,4688336,19,258,183,8460392}

"BWWBWWWWWWWWBBBWBBWBBWWWWBWWBWWBBBWBBBBBWBBWWWBWWWBBBWBBWBBBBBBBWWBWWWWWWWBBBBBWWBBBWBBBBBWBBBWBWBBW"

{92,31,39,17,26,35,31,0,19,86,63,50,5,82,78,42,81,16,90,94,14,45,38,24,90,73,17,91,88,40,29,40,9,82,32,75,50,88,16,32,9,14,97,27,61,75,70,78,72,15,55,29,83,75,59,8,49,18,87,99,74,29,89,87,51,13,74,77,78,86,3,94,35,42,96,60,31,93,16,11,54,59,18,5,24,69,46,81,43,96,71,52,17,17,7,13,3,68,85,47,37,59,61,28,65,76,80,96,27,24,20,49,37,9,32,9,28,38,71,93,13,5,54,68,45,50,14,41,17,86,15,7,33,74,83,77,93,87,41,82,12,81,17,15,36,64,24,67,45,33,92,59,45,53,81,7,33,81,55,39,68,90,53,93,46,1,68,17,59,47,53,17,30,98,28,89,28,66,90,23,6,56,31,16,71,20,91,25,82,29,36,48,13,95,39,85,10,67,1,8,96,7,6,42,91,15,27,43,32,50,83,50,39,84,73,66,60,51,50,8,97,75,77,45,10,67,6,30,4,58,85,14,9,35,73,46,32,8,42,79,97,73,13,12,68,89,83,95,97,84,8,42,84,29,38,22,52,88,88,30,55,27,2,72,71,74,25,2,74,97,28,15,64,77,88,97,92,10,78,8,68,5,21,93,30,89,23,71,27,79,5,8,67,58,72,43,16,21,75,50,61,73,39,67,39,70,53,45,14,61,31,38,53,46,76,73,10,45,88,70,54,1,93,77,50,49,0,79,68,87,68,8,55,25,23,19,58,61,49,43,19,14,30,4,61,70,79,42,16,31,79,26,37,15,66,49,28,27,17,13,60,9,16,38,52,26,64,7,49,95,64,87,93,49,46,72,47,18,88,69,32,91,90,15,55,45,16,67,70,85,36,37,3,90,36,63,29,72,40,82,38,85,50,61,67,8,66,14,83,25,81,2,76,98,31,19,44,16,68,36,56,9,75,24,20,74,94,83,0,62,34,11,10,39,75,88,68,54,35,31,7,22,46,82,38,92,18,10,14,76,13,52,94,54,11,89,2,33,24,74,99,83,31,35,11,10,36,71,41,43,16,4,79,6,19,38,93,43,15,28,94,95,18,80,77,41,62,60,7,52,93,16,52,53,48,48,6,67,58,1}

{30,29,6,38,65,56,53,88,25,9,53,4,66,85,4,80,96,95,39,93,15,38,37,65,37,25,25,30,99,39,81,67,27,58,28,69,43,81,12,47,5,96,69,19,60,79,39,34,48,7,97,50,49,12,21,19,21,38,63,88,96,16,29,34,27,26,32,26,79,60,74,81,65,44,63,15,55,69,44,5,83,3,11,4,2,73,22,63,8,65,1,15,20,22,67,65,64,50,8,86,45,91,37,90,7,98,18,91,38,25,50,20,97,88,86,17,4,34,91,19,47,18,0,17,5,92,79,6,68,15,88,6,36,57,15,99,6,95,32,20,86,53,3,3,41,28,78,15,20,77,73,55,11,39,71,6,85,88,1,19,92,63,42,7,46,12,33,3,1,11,79,82,26,36,80,96,99,29,3,93,52,1,46,38,5,87,78,31,56,38,94,20,67,3,18,92,15,89,49,64,44,61,94,23,91,1,68,74,77,31,85,13,97,25,10,84,51,16,21,49,68,40,20,32,15,7,87,74,76,49,54,20,0,10,16,68,42,23,33,54,76,29,77,94,83,22,96,45,90,32,31,33,15,24,44,50,70,97,30,77,87,17,79,98,68,4,63,90,89,25,85,86,38,32,57,49,86,88,11,35,92,20,59,34,75,69,4,68,0,89,2,43,46,94,66,13,5,11,97,85,70,73,72,21,77,86,25,29,38,59,31,76,31,43,20,95,39,50,35,37,27,30,88,38,76,50,38,72,38,68,62,64,69,80,86,47,83,42,59,71,62,87,14,6,94,7,55,38,61,60,8,77,15,52,93,38,42,98,83,59,47,15,64,11,28,85,35,56,11,86,20,19,57,68,67,30,70,38,89,57,98,13,77,7,14,74,99,16,64,55,8,47,71,57,69,8,23,47,68,56,25,64,30,70,12,21,69,9,5,55,40,17,34,10,77,27,75,90,22,78,63,3,70,1,2,13,77,72,14,15,17,3,39,28,96,34,43,47,34,40,23,52,21,53,68,11,17,37,53,17,53,84,29,19,24,32,71,51,37,60,59,80,30,8,44,64,88,95,57,39,93,52,20,25,6,27,75,98,68,37,54,23,60,59,20,50,96,86,43,85,63,6,46,99,71,77,68,20,85,62}

{7863262,36853267,750487663,135729792,643491243,17909423,479773006,6173600,33939953,70996666,516825281,304689726,4050036,292800395,300552186,55527388,77815855,4757573,744920424,205,55528330,135709500,135682207,745590,124402,39120519,33899588,3312989,2932014,680653346,35122429,55589224,689307227,89140905,677209349,74635,4096329,29386115,50706,677921059,22795164,12582079,4753848,712102412,24070261,69342,737810086,648335165,1367438205,59060344,204563353,3893610,14531477,11111,980721838,44,966160833,130755351,208134,2932016,38990906,1435335,1453394,648498388,712035100,644295436,673387647,1053358818,129952,72638340,4257678,34915819,823403,8336665,42892418,23038639,172205569,49346,8831923,5747,23861682,520390,6931238,300588074,572793,73011029,525959473,34923437,7045,43706954,635999743,61182,70083,526179027,67782824,823117,640878,4094542,292801797,50514508,27410,11156882,865007,89657,58299812,6023,61992565,54074705,576296182,33861014,4107994,14551474,4580580,17257478,627743437,22718755,300676929,772117635,606812101,265,676068,6936987,23231423,69304,96696,4098648,55389315,1156918,69305,51130543,5483334,53538457,762645947,21485013,58597,417522361,5567603,4489224,681708962,7672,51155634,551748717,463281,478265,532922094,305677,43066,8722466,102893,643196698,73058242,209248614,90955,228085768,583070951,53538459,341980094,29386116,191253448,744920073,4131,9467,516362479,59105900,1,17995850,234277546,463282,18030752,671728,516740235,74969,636436474,528502818,55144410,42844763,8549152,3827423,538481,56209991,5567446,35923884,36878751,135731470,617985364,192780,11137375,71000449,17910839,134296137,528512087,567316,8678817,4341197,737983079,292798393,64146157,8622587,3469360,396507,34325899,60091979,5567638,55738076,0,18059329,712095279,3905235,268236132,32960713,292786797,4102953,740215561,127498817,18337091,89524224,23150852,7431,976604296,14545159,4697466,64241540,409068409,677201643,64146150,67782818,5368597,11770818,300591276,74597223,268925112,55489723,22149874,64206467,73124488,288866,676826364,56209931,234606468,23782146,4701277,73263275,409063368,36277,7938,526198757,42887799,4784872,4704852,583738529,37062324,234606467,93604622,1431131,132393905,522153790,7129546,10232695,2331978,416922331,209412621,712025972,557166,1368002533,617992475,304498617,33948168,650512,3853943,38643552,292710960,51130549,135409649,268236130,27122159,9840716,51188535,58669880,41649,1079,4125,6356,980721838,648332174,7885457,106131,356797975,617992484,711457104,37892,651722,7047,8494966,89142289,1363961815,6609,74728,980700201,4679347,288700185,6140798,5,623091788,972027948,335858020,44062193,550773461,1413359,179301731,1003048,4,135802907,479773012,288891,9547,68372145,799638127,4005098,5536573,7005804,688225672,25874644,5537434,532880431,4098439,10443482,135160911,1367917290,135799098,206225,153541590,396512,209262949,21116422,6655151,677487,89127303,514850,14561505,617990669,153548699,55682484,63343649,295020384,988937,66215180,209173363,135236220,917439,60144895,94532,1053358815,168916,61186,4049779,138363486,479115,712093074,61372,17902,22460725,22733737,321815,135800462,90631,752142209,395435,41196659,14539371,54243085,390214,199126,25395383,14538006,8494958,1360151601,7732744,130755357,5584979,25346199,677288974,11171956,409062513,59060351,153784405,3814001,8529546,8608279,6816136,101368058,528512093,746820,617638225,25394420,528560754,9057,56001877,1367334379,64259614,17910837,101866251,292405274,11961911,6140795,8658976,980705913,4084887,76925306,15045,243152665,99181146,575314,648329134,64198251,372000774,712102402,8881442,73519,526248332,528547203,17918533,22255466,7104568,18093333,645398,3911861,409062138,1367996812,54838224,153487259,648338830,533957,799638116,744831129,42876262,653827566,1817,24362557,648331318,27205437,115315205,526255190,980522905,516832990,135799090,2758,6976548,64083594,461350927,73112,516835609,93566034,1510010,23876730,84703,677241511,618247197,234217365,202910,26994135,8443929,55069211,44921573,1088,8900924,63811025,534039603,613297021,26004643,744914662,74475,300587830,100415,28372252,5567714,576296182,25285,3914,54320,35112,23876660,60898230,30020596,55039184,409068410,8512413,110647263,72638349,59110612,292801582,9113,5636932,295716,525294601,618436758,408610674,5574817,8683854,203659490,135534221}

Returns: { }
{734,1,1,8,1,890,44899997,29,18,767,1,43,6594218,42446438,8396,23436,1996,3,7543,90,485244094,900,213662172,918137,8852568,5520,4746,5839,487,84810,14025964,4886,406992,1,1,145099,162384,2121323,1,30112351,185737041,1,997704,367324070,81,8371,7264,5868,1,605889115,842267526,157588,24406,33492994,523,872,87,7120075,208282,439768,735393716,14153,440295458,1928,3725,8,233462815,762431508,92896,1,1,591357558,5618122,7349897,4486,863428593,6047,63121,5441803,713,1,1,1,1,958427,7496312,55779726,9419,8943,89977,1,350604947,17340251,673,84531703,5,92,15907,45029,7185199}

{821,9,2,16,102,957,44899998,29,28,795,34,89,6594822,42446443,8501,23574,2007,6,7883,92,485244145,1244,213662224,918342,8852568,5663,4767,5976,501,84960,14025967,4939,407135,6,1,145113,162444,2121400,48,30112670,185737060,238,997825,367324186,81,8433,7269,5981,6,605889236,842267548,157604,24408,33492997,523,934,111,7120173,208307,439801,735393785,14364,440295475,1972,3829,16,233463229,762431510,93098,16,101,591357764,5618203,7349899,4733,863428640,6234,63241,5441825,743,152,269,2,253,958470,7496491,55779740,9665,9014,89980,3,350605065,17340312,904,84531709,5,186,15910,45217,7185226}

{1,445531459,174,5,26814,595,77828274,1,1,8,82573,57,4517,51734590,39562,98980459,513474,1,25,88603223,88295,9026,292,78551251,29,685090733,1,5110,675,1,3848,317,9,14563,551336,9375820,492,154536300,75,72290,1,74887772,41579618,382035374,3066,72481380,289,13197,249727,6942,1,3950,98132973,9505,647167353,41997396,1,1,1,56591,2136,1,401351,1,18,1,409,103566,79,4735,665531087,6431989,89354541,5325124,6,5,136955633,1,235795,84004199,24371,28357152,1683679,1,772675313,4607813,314961076,4832007,9099,966619,617,9148939,845,51,1,280369619,9486,94819432,684501,263119}

{1,445531463,387,180,26855,606,77828300,153,135,124,82678,255,4622,51734619,39595,98980775,513481,3,27,88603234,88298,9026,370,78551256,48,685090733,16,5119,676,2,4139,638,12,14692,551342,9376027,602,154536601,131,72384,11,74887785,41579618,382035397,3097,72481384,527,13382,249730,6955,47,3968,98133121,9665,647167727,41997556,7,5,41,56646,2148,36,401462,56,19,138,465,103767,83,4934,665531092,6431996,89354545,5325124,10,194,136955649,64,235826,84004202,24416,28357166,1683681,27,772675336,4607814,314961095,4832008,9390,966812,662,9149117,880,97,31,280369796,9833,94819434,684511,263125}

"WBWBBWBWBBWWWBBWWWBBBBWBWBWWWWWWWBBBBWWWBWWWBWWWWBWWWWWBBBBWWWBBWWBBWWBWBBWBBBWBBBBWWBWBWWBBBWWBBBBW"

{52,79,65,63,40,15,2,36,60,30,93,59,38,55,72,72,50,53,19,63,27,38,53,52,88,49,67,3,25,10,78,65,91,83,16,70,78,19,34,88,82,60,23,22,36,56,66,78,33,62,24,10,53,32,76,81,57,62,32,49,29,66,19,43,29,54,54,51,31,53,68,12,72,39,71,24,20,50,43,89,41,37,52,36,22,92,97,44,19,80,92,51,81,57,69,22,83,14,93,45,87,56,57,0,52,66,22,6,92,59,63,24,13,73,57,26,47,30,29,2,12,39,29,58,33,39,0,65,45,71,1,4,94,24,82,72,17,98,82,22,2,46,69,90,15,93,73,1,65,65,67,36,83,85,49,89,83,85,34,47,78,20,11,67,26,63,24,39,30,34,6,94,69,38,78,9,90,5,43,67,94,12,17,12,83,27,47,6,65,11,94,99,64,9,83,4,85,66,51,44,28,47,26,32,72,72,55,3,37,49,59,9,82,85,37,57,44,74,92,67,31,31,6,82,3,26,44,93,28,70,97,2,27,58,44,5,14,48,66,79,59,99,20,21,31,29,2,66,98,66,83,90,76,26,79,13,27,13,74,75,32,12,48,38,78,54,42,37,36,41,10,92,15,20,84,62,23,69,65,62,88,71,17,80,30,91,98,4,25,84,89,33,19,6,38,48,64,25,3,35,85,39,94,78,35,52,84,76,85,5,6,47,8,53,18,73,81,3,24,27,61,33,52,78,23,17,88,80,8,24,67,21,92,77,45,69,90,89,94,2,92,43,64,2,82,46,47,38,81,92,15,56,84,57,37,7,32,30,47,81,48,76,15,18,20,80,94,45,92,55,36,49,13,68,11,44,86,85,94,50,17,11,79,70,20,37,48,29,95,10,0,41,31,34,6,79,5,53,63,60,70,84,25,20,32,17,97,51,91,10,47,53,91,66,95,5,54,24,87,76,42,50,93,19,65,34,85,50,19,21,90,22,66,66,94,72,62,48,17,66,12,46,77,74,55,2,97,51,64,10,86,61,88,10,60,43,51,22,64,10,92,64,51,83,79,97,68,15,24,8,69,76,63,44,10,63,46,77,46,97,13,48,57,97,51,27,44,36,81,12,39,80,55,60,13,35,33,39,76,13}

{36,21,26,36,43,99,3,75,63,10,10,74,8,26,41,78,16,3,83,44,26,24,29,51,12,9,2,96,72,2,80,9,81,91,7,10,7,16,42,67,14,86,77,31,80,5,47,96,45,40,32,91,63,57,82,73,99,5,91,48,53,17,13,62,20,23,26,45,42,75,80,59,87,39,59,32,1,47,48,0,86,21,52,60,15,0,25,81,18,65,94,61,28,78,18,18,66,15,8,14,29,72,57,43,34,22,56,51,2,20,41,9,61,51,80,20,59,15,69,35,55,75,71,53,27,80,45,66,12,15,17,48,21,78,92,38,36,65,7,21,60,87,93,94,81,98,30,79,79,91,27,29,35,42,36,18,19,74,29,11,9,28,57,23,81,17,78,69,47,81,70,85,96,69,75,61,97,86,49,33,10,56,34,63,85,67,96,15,14,72,73,34,91,56,86,80,8,37,29,43,4,40,3,3,77,3,85,96,65,85,38,13,28,92,49,51,52,11,19,43,1,83,64,61,7,99,83,40,93,2,47,45,78,98,51,63,10,62,37,90,21,90,0,57,84,33,5,54,47,66,65,77,20,55,13,67,67,29,7,59,15,5,58,77,18,83,56,56,52,22,39,8,35,66,24,35,7,98,30,76,51,80,87,35,15,46,83,45,14,8,49,40,98,81,60,87,41,19,39,56,56,13,56,84,6,39,89,78,50,42,54,31,17,17,37,28,35,85,57,35,11,30,21,54,21,0,3,86,98,94,93,94,92,76,97,58,55,61,3,6,35,42,59,7,7,75,95,8,35,85,31,33,6,69,82,24,64,77,7,96,76,66,25,14,80,53,46,74,69,52,58,30,14,87,86,71,28,97,69,6,14,96,70,65,5,32,32,86,91,49,53,19,19,87,56,84,56,39,54,27,82,43,85,44,30,53,59,60,12,80,41,42,78,49,41,3,61,76,50,85,19,74,34,37,14,77,77,83,75,54,46,71,49,20,86,11,1,55,55,26,73,89,1,98,69,22,62,64,93,65,26,42,82,96,95,96,34,42,6,74,16,70,76,9,39,50,98,53,74,3,33,11,74,38,58,36,58,79,65,96,10,90,16,60,16,73,95,28,0,74,49,8,52,72,15,26,9,97,39,17}

{98270414,83995359,4756,161097,563622503,105879119,346,863266755,735393940,14104690,83377,491657,127,42001243,20084962,89295145,842779001,33502489,88603308,4907,6278,8852646,33417662,98262208,6590121,605895371,762534728,9662,601348732,82239,5653180,766,369813156,359753886,515378,665448508,5677490,88091658,42026092,762516788,1652520,994572945,79406107,213657307,186245,1387,233470110,5667921,72475056,254959824,8445462,359671312,33500564,6713047,135278006,30381927,328161,440695394,359346756,606131989,33417664,233463646,79314949,454605242,485247588,569533742,647171581,72626649,42572173,829945099,117345,6206615,90131313,4,597293374,8445469,930687284,842274839,749109845,1055859,295853030,156648013,4,735232845,312618895,17340324,590281545,28354170,88610993,24423,67192317,147365,28356963,1914150,12788,213654596,233463650,98955936,967,72441846,4907426,94972634,0,749358751,97606043,19801147,213662401,122566726,17340794,484836054,74889699,8851819,94166873,12513478,7144575,485327658,477279,112979136,89762,9520574,48586303,833388299,597704913,33294200,15508,30160639,72488938,233463639,79062804,683882779,445531468,222883,84539826,3646528,19023061,94972628,163024,729537,1683628,213669996,735395536,4833873,5733,84532354,70646745,728552,11997332,361527983,84004908,359753886,762524037,78195,9520921,43470314,605733118,1048765,88603310,12099428,636172,18947,5676827,485331263,7120124,839961046,28361881,1925,3646534,30180121,14029422,27805818,632602809,81643189,4745,4826,858222582,13410,94834681,370739310,620593464,762520381,84614283,6598764,551348,6596948,12104140,762524035,9415,66028748,47955,94972596,82506925,7473438,359750044,661,370740801,2439,12104123,385877941,76716,749356426,26654,185744364,4748,407120,94909443,94972733,44885011,9667,156657939,602993747,496251,94180280,1683491,14450870,758297410,6966528,98154241,4664,105942519,777039146,445536023,5265,122724420,1697806,96,7443574,3140,185736256,982,665530744,94816257,72489409,5666556,847762,158408,1642,51417,440447163,385877946,84004251,486438,7447675,485331606,7128289,773628523,99524,1142,880629641,710462,4,10,63828,622105427,42001243,74715295,771616125,762524034,94096224,4743,863045401,99364140,6597381,458026,63280,5669698,647167888,42577317,156657840,98270414,288549656,30122870,17341125,89726288,251868773,780569393,449124759,79469292,724617,14029809,576843629,153952,597765334,4841425,9496514,112979128,359746330,729549,72462908,685053916,773633773,606758981,185751742,87963677,94371111,735395752,4591700,74891588,596493084,30185042,9520815,12104024,63996002,84531603,776922861,113207345,128148856,772577111,142155599,839379022,42575938,614238565,13822,14,33502499,156650040,12673859,19126426,12104128,1732427,9509879,14085,14036794,98147450,652372858,79459474,809,18283,370716392,729530,75679166,762534090,84539830,0,137012773,22345580,213235,41997628,1042485,84531700,122727925,26570111,706782136,492527,299,1683635,863421609,280362440,123,19126419,14450875,98998631,14783,738788575,7125090,154974263,8852582,403304,13966517,18980,28347655,136711965,370412385,586128056,40056,485308012,33507902,84524721,72485037,17344310,56159090,46464,591866328,94133094,4915521,370740662,597786604,370739641,97692037,84536627,875195809,47963,9531,581527601,665531099,485330934,156250810,656843,370655971,621825763,605964844,33501682,13715533,88607702,4290090,122728162,689628876,1384,3443205,647168774,735390775,663847409,757005657,687973582,485329282,13622687,33502495,95186706,735237965,353155015,58166,74880463,74065296,354076291,372432497,205481984,1482,647180966,145802133,847090114,139838109,48021330,842262837,552140,68054635,47954,614513,12040841,842267537,952031725,647158728,7635,384127237,372432498,251868767,343713051,94972606,885425492,41748560,41998279,233458887,6076146,1049118,445594634,724838,41993352,213662223,534697555,157706,3009,82589,370736046,42563249,1683362,73090,1015761353,749349889,704980,254243682,122724422,87271,17850862,665534902,137103234,773,114043770,937071057,732391,132440507,8847884,12,9764,136961547,2783,3026,290877,161103,201327,84066656,7552,94825660,94098475,249072,7631639,830195128,665109,12663979,280366770,162023,28357970,6594166,575841972,24435,56159098,819127942,89668840,9516168,15446,124843814,166989880,94181051}

Returns: { }
{1,13065,331073675,9867345,8558416,1,96281,99867,33295,2683,1,1412,69717304,129,189373,243175,2138,604226,908294,1,46896494,422176961,1,746272,1,498027825,65271631,269297,357,23,1,4962,19802,38,1,892332302,312070,13161002,12255,57545017,97845607,6189,239,97,1,618026152,301,164,80463,242,79042735,1,1,37679222,5,862717498,1,1,63,4388,342,1,606,18018,87,94300553,367,17070070,318202672,13916,1,1,398,89986542,42300851,50825,39871,275914038,162068430,12123956,1,1,79,597232,355267453,110575,26939,53996896,23103580,1,9558752,6,90,5514,3464,769588238,680,884765,1,77}

{1,13065,331073701,9867346,8558423,117,96541,99884,33301,2686,13,1544,69717488,130,189388,243248,2478,604801,908302,9,46896665,422176962,2,746588,23,498027828,65271687,269361,367,311,28,5184,19807,48,20,892332308,312117,13161003,12282,57545032,97845976,6242,240,105,25,618026434,427,789,80499,271,79042993,3,7,37679259,6,862717499,24,80,389,4392,398,135,702,18050,90,94300555,488,17070364,318203120,13926,4,1,406,89986647,42300874,50909,40002,275914040,162068705,12123966,5,4,81,597490,355267454,110760,26957,53996905,23104105,2,9558756,13,112,5522,3467,769588242,691,884768,89,98}

{9828,1,290,4631,833409966,5894,1,35429,66180634,22379,1,1,1,47,630762858,81,375,1,587520,5,300,3987252,392,2147703,4382077,3958204,697,5524,7677622,1,708627,5,9584591,399,84072931,783,434001,934977,9,57854893,76691,142,1,294609,1683,1,38210918,495788464,95617,866449615,666326577,1,1,1,1,668818751,146889,98581805,1512657,9725941,9031,390419,785076269,16367,1,877860,72176,3992,227015,662650034,226193,43064470,1,8524830,63487855,1,767591,5081824,2965970,1,25285,6,17720,67504,85575807,1,1,545,1,854460,91502958,77572,43703619,1,1,16750902,6,1,89988,577780768}

{9882,86,352,4785,833409985,6669,28,35449,66181051,22386,31,30,3,51,630762868,95,442,19,587882,11,558,3987282,399,2147720,4382091,3958205,698,5525,7678047,4,708629,91,9584613,540,84072955,799,434029,935019,12,57855037,76693,459,13,294609,1813,10,38211403,495788464,95785,866449911,666326659,70,10,2,9,668818860,146911,98581907,1512775,9725941,9145,390508,785076304,16427,1,877861,72265,3993,227021,662650307,226439,43064476,100,8524839,63487875,1,767996,5081826,2965970,167,25367,8,17863,67578,85575808,82,36,622,1,854613,91502962,77595,43703623,14,27,16751037,7,4,90051,577780926}

"BBBWWBWWWBWBBWBBBBBBWBWWBWBBWBWBBWWWBBBBBWBBWBWBWWBWWWWWBWBBWWWWWWBBBWWWWWBWBWBBWWBBBBWWWWBWWBWWWWWW"

{88,81,85,63,64,23,54,80,41,11,1,55,7,50,20,97,25,96,63,92,40,24,21,60,15,73,90,36,94,82,59,1,19,92,26,35,86,22,32,63,99,52,92,44,63,58,99,36,47,8,99,92,96,88,59,77,8,71,44,82,88,16,63,5,36,83,65,44,99,89,60,45,5,10,0,58,56,69,65,48,13,24,72,75,8,45,90,37,29,74,84,63,39,98,59,22,49,64,39,86,70,61,94,25,4,34,62,84,11,74,28,1,5,32,26,34,48,8,42,74,6,83,12,76,86,28,66,88,33,9,50,87,27,35,54,79,0,16,72,56,52,69,30,24,38,48,91,66,99,17,22,49,96,48,20,29,51,56,42,59,26,43,88,66,69,97,14,99,57,35,10,90,95,28,69,21,28,36,38,34,44,74,36,4,79,81,50,95,27,60,91,91,50,19,22,33,6,3,4,96,59,51,26,9,69,11,59,23,66,66,53,84,19,77,36,38,80,98,95,90,74,99,97,29,2,39,50,54,50,15,87,66,50,22,2,4,12,73,70,83,92,67,99,17,51,32,24,49,14,72,2,63,48,33,33,92,90,38,21,7,63,41,2,74,27,88,57,85,27,54,79,18,86,45,20,45,22,53,74,82,95,95,99,51,57,11,81,89,56,47,62,5,12,98,94,35,4,88,3,1,88,20,21,32,14,89,7,43,59,9,95,77,76,44,71,48,13,59,50,16,92,96,40,74,95,26,48,67,84,74,57,46,68,89,68,57,7,3,29,6,43,39,98,97,33,43,91,13,27,61,73,84,31,14,37,96,92,26,38,53,22,65,39,13,8,69,78,9,0,34,36,61,7,24,52,0,99,94,38,95,56,60,80,58,83,41,79,31,75,90,19,16,98,68,56,40,38,99,88,48,59,16,68,14,74,10,77,45,12,87,95,69,87,17,91,86,25,75,64,15,97,42,1,19,52,14,23,64,66,87,83,85,91,29,18,59,49,23,22,72,1,94,74,41,83,29,82,66,25,87,41,11,37,32,27,53,18,19,45,92,63,90,30,62,43,47,41,84,66,20,46,57,27,42,71,70,58,58,49,8,40,94,72,36,37,92,46,6,28,47,5,40,64,11,47,38,68,84,48,69}

{52,38,74,49,75,62,82,60,75,87,7,46,4,93,0,90,44,99,92,26,79,33,2,57,25,61,69,21,54,74,34,95,49,11,83,74,21,89,56,68,63,2,74,27,4,38,52,53,29,10,75,58,42,64,17,46,57,93,95,1,97,81,13,10,43,88,55,16,88,60,47,89,28,43,1,93,22,85,79,32,63,21,69,70,53,86,32,73,87,40,71,30,52,64,81,1,97,57,75,55,66,68,79,32,68,33,70,76,42,61,83,25,88,23,91,45,10,95,84,11,43,84,50,58,92,43,37,89,23,65,66,15,45,40,47,76,61,11,35,54,15,91,42,7,3,9,60,0,38,12,81,85,27,58,86,96,76,66,55,54,4,6,46,33,74,5,37,62,34,74,48,95,5,31,46,14,39,71,49,58,0,95,67,28,3,88,84,67,89,82,4,85,86,98,92,7,54,36,32,0,68,19,14,88,31,33,24,37,81,52,14,82,90,20,2,11,3,94,24,77,83,65,98,89,22,6,5,65,67,5,81,55,88,9,47,97,36,97,85,68,88,63,14,74,62,44,25,13,8,31,16,47,24,60,59,13,45,84,97,87,56,21,62,48,38,25,11,11,56,59,94,22,0,26,98,81,88,78,91,75,35,40,43,19,83,13,30,6,61,89,44,43,59,99,9,48,18,15,8,18,5,58,14,16,76,79,51,32,90,52,25,58,33,43,3,95,65,97,78,68,27,28,95,12,72,54,24,89,50,90,61,94,19,66,43,60,44,63,98,24,53,7,20,0,67,24,10,58,73,4,43,57,51,76,42,91,16,95,59,78,41,7,36,53,71,98,50,35,95,19,64,47,57,14,77,17,78,63,82,80,67,89,46,24,85,83,47,44,89,50,50,75,11,56,11,89,10,14,44,59,22,29,42,11,36,50,72,31,92,58,60,79,3,17,25,49,61,9,72,1,61,95,5,26,24,4,24,71,79,54,98,4,91,40,84,71,70,61,26,94,53,73,59,53,37,73,28,38,61,64,20,65,46,44,88,4,40,8,54,42,87,73,33,45,3,40,85,91,24,6,91,86,97,88,89,68,36,53,25,7,33,42,98,30,96,32,76,30,13,5,95,16,44,80,39,33,2,47,16,40}

{23103921,12282,105678098,866451289,50805,783674143,17931,16595,45155,53995942,122251,1493325037,841833085,745364029,46906221,100176951,501984337,577781499,43705153,108974456,85798586,4381725,95090196,98572965,501742722,98121019,580692054,425418105,3462,105770789,74351380,786326210,866450136,43705057,64741021,913518524,426137281,854179,9457507,318395729,577782449,331074016,62085004,273189,841934001,1524949,577781000,37801159,495788727,66214321,577831705,42190898,457,23103826,10326226,309042745,32433977,43069980,786337585,30842,22219147,2867,34228,6217,451409,22573998,1436357937,3774,600884728,845809,495779409,618880716,7672152,294680,22945,1518187,146516,662746783,83054373,9549516,34228,422571779,662663687,277084,103826997,617999221,91457300,84415458,53997465,118956246,397778787,710259,115399974,90076,9730322,13456,867334422,98581811,115349093,1531509413,154426,318366478,12120572,503634430,1142827653,84072579,784850793,440035777,1307,105398269,8207602,501972963,23110148,8163362,65348506,702099074,176241,818984951,440843011,105787174,390789,440178240,675652079,784939,43730460,7383691,14023367,23958483,2893541,95153343,745296907,53754188,617762308,794562280,495788750,12851613,380576,1322,892332685,146912,243296,662586510,708854,4446496,9859840,151201,68807,62771,577793088,69112804,386,866560180,274187,1497389,46870046,666,807482,75141,1531536100,9730324,890122496,390790,61314445,72205,641449260,891002,642799466,207295980,14508953,913518525,176242,834781411,786333031,7682646,624452778,1048763184,107721585,42942562,866461930,82560251,8190,774024205,17188147,834290004,2261310,23103917,856975242,769265056,1118406,9018,841890823,188092,745342619,89988,43703328,134871,96282,9984468,832363986,10564,327697643,10,695844416,23123610,662659123,1886,5348240,13627429,72645,72642,668252730,440825321,101061705,234098875,331195234,10736,9887918,93457,781957186,352776422,105123707,671203507,974753,854592,331073717,115303696,745363312,95178407,728295336,249355,53997486,1531463700,722265645,24678,826861496,841083639,69839387,97626709,336717,317765112,66807435,17064605,53171240,105184049,785076989,9602724,498451700,866449972,564737900,4562,331071245,495789803,4366786,9066,9729883,43703605,699970349,440830971,425279455,53931897,148542,426157569,1116148912,105612454,262593,478882116,98583262,109075,410743,9730324,12120573,1495744,36819,552755207,46986331,618026153,23104305,127355176,105711144,68668,139494319,688416651,577486308,12,99111640,1454,708622,950851,243546,494934182,785075296,288462,79439031,577691018,23166,892346814,840472265,22860795,76010307,1483071,23110150,48409019,1048763184,9601543,630144766,12978442,135317,9309708,91331386,25062,284353247,279483038,807036,293014,52927032,786163005,95178237,10606316,746386085,318427258,43967358,7678371,688416652,90904479,786338872,65272322,4366787,17920809,856975243,60757207,98191429,38213997,318430119,782804,318270601,98572963,133625,9860929,90012,4478356,37973760,115264668,46986331,894644,17073776,4087568,77552,1512761,98236593,841577945,98216767,368273372,4967,630144765,14095768,78255,43705603,721066946,9733822,127355175,6258,95043096,114653867,37679167,23149875,662574101,746386083,892351223,786329395,84072930,746028,495398299,98646147,626570159,280995853,614557,736883304,30936,30051,786313910,17213147,845810,38185945,2869398,554392,658369,507912043,6650,905462,644307841,745369546,48808,91525,318283223,148445,98623816,12298,53171240,23105603,9706261,9729936,2846,318429882,630950699,105042611,745369530,280995457,618021192,113421002,55508996,786329764,674760130,44133757,0,501908448,866476596,501595571,70589,318,230241,1275151,786339026,19301,65272318,4382082,211016154,2980632,43064559,12195638,53997486,619904,841857775,0,97922598,439347122,33342922,866223953,2503531,65271936,3069,37666188,98508007,96058396,37673517,13430997,98511446,7660460,84039,501595573,53997405,46890606,95176862,50436518,9602724,22840078,862530811,97448797,66214338,618026154,43703749,53994685,163406024,708276,1403101729,10157068,593557417,104789,440765680,4310310,46800697,38133733,98608664,620929,23103686,42209901,318203937,1390769,39191928,1360519280,66212168,97922179,3238,90389,586720,14095323,34138716,37482792,804907,7678225,495782510,786333032,97919752,1778,26893,495478219,12622,13097231,765479816,173397,760405506}

Returns: { }
{72673809,369165,30689883,1,1,953129486,41031,642334,7182487,1,67,251446,893227,18,11540280,635,3,7686223,4477,9138,1,1,1,9059,1,2,96205,1,411,55371493,947483,6665,1,505934,755817,18919566,43170,24150,695798,8254009,27,381613872,77709,422714340,1,1,1,918412,1,61086443,338149599,1565029,71505294,981810650,4069,6061139,7981,7232,472952,581270,95482,1,11,1,32134253,56,5091,4469521,15663,83494262,1,740549140,5999608,73064,67,779291,896420861,6898006,5883,685,60,13,246,1,545938237,218,79771440,1,97848,17,8709,5509,4,10,1,753831381,1,7341994,88,1}

{72673811,369186,30689892,4,1,953129838,41050,642646,7182620,74,84,251458,893694,55,11540294,777,6,7686224,4479,9162,2,1,55,9063,10,5,96476,23,497,55371544,947507,6670,9,505937,756351,18919884,43171,24150,695819,8254011,51,381613877,77719,422714579,8,21,239,918748,38,61086513,338149605,1565062,71505312,981810799,4190,6061395,8004,7396,472965,581578,95571,1,207,138,32134416,354,5169,4469548,15674,83494315,1,740549142,5999799,73064,106,779431,896420863,6898013,5888,812,85,35,504,130,545938258,606,79771768,104,98208,18,8711,5565,32,71,30,753831412,3,7342020,463,114}

{34265,63022963,1,612524512,1835781,8,46258351,351691,7603,30066557,1,550,2,4850367,26746,1,825,1,92979947,60521153,697,1,82,54285216,39,53160910,47097362,1165634,70516162,345,10,268,61984101,1,968737884,74976,8406551,1475,1,20,219,625,1,1,4647685,69,5627,5,1,9189625,77247,74,391783,70,69,1353165,42460,8955858,42324669,403,1339,35275194,1,11187353,1,91645081,344450426,5883284,87420,12,759,8301289,277,93839,865555945,6172,2687083,229392280,125,5,37538352,623669128,1,437797,7401,89380,970265,39,58,10,693,248646,1,7279406,13602,1,131097679,1,199,7868}

{34298,63022967,17,612524589,1835872,98,46258381,351706,7620,30066620,5,916,15,4850368,26970,2,833,285,92980130,60521163,767,394,93,54285279,40,53160994,47097363,1165635,70516168,404,173,286,61984103,64,968737885,74999,8406602,1478,7,107,257,682,115,171,4647754,100,5643,10,30,9189770,77254,76,391791,89,106,1353178,42485,8955924,42324742,476,1500,35275511,425,11187551,5,91645098,344450433,5883290,87489,227,886,8301300,598,93844,865556150,6175,2687119,229392281,134,19,37538503,623669319,25,438092,7433,89383,970518,100,71,11,750,248752,35,7279424,13677,30,131097811,117,225,7887}

"BWBBBBWWBWBBBWWBWWBBWWBWBWWWWWWBWBBBBWWWBBBBBWBBWWWBWBBBBWBBWBBWWBWBBBBWWBBBBWBBWWBBWWBWBBWBWWWWWWWW"

{5,19,45,24,5,28,36,70,59,70,48,53,7,24,69,32,16,72,52,62,8,14,56,83,87,56,42,36,38,39,87,22,13,44,38,71,75,47,78,85,0,5,35,19,34,93,11,23,30,24,68,97,76,72,13,56,42,35,83,33,56,47,39,90,74,60,39,86,11,62,76,94,72,80,50,58,32,1,14,16,27,66,17,55,25,29,19,85,53,53,91,77,99,92,69,90,0,50,12,15,46,15,49,63,86,90,95,73,50,84,0,85,94,6,3,7,40,93,0,13,83,43,28,18,61,14,49,98,63,19,42,56,43,42,66,94,40,17,38,30,94,22,96,32,98,62,78,88,12,81,41,67,37,8,11,21,40,53,95,57,94,1,87,62,15,98,83,13,75,68,60,27,13,23,86,93,67,71,4,0,8,48,21,74,54,22,77,57,94,73,77,7,67,88,78,32,59,40,36,93,79,95,52,59,0,39,85,35,49,77,5,97,92,42,26,44,79,64,87,53,22,78,76,1,43,59,15,66,2,6,67,50,70,34,47,76,39,35,59,36,24,29,55,60,91,94,2,29,86,95,70,55,73,61,40,28,47,23,52,63,79,76,8,88,56,82,95,80,68,46,83,54,41,77,33,80,67,43,97,54,16,73,50,83,21,14,7,19,37,60,46,90,80,99,16,62,85,38,88,63,0,60,84,13,0,7,40,87,7,99,89,10,33,92,32,82,81,90,28,17,65,37,25,25,49,14,69,59,65,13,54,2,84,9,53,43,70,8,35,11,61,66,85,52,15,82,4,7,23,27,62,59,90,86,23,98,57,50,15,27,54,91,99,72,31,79,78,91,82,25,69,73,79,13,3,88,79,82,78,82,18,99,90,11,92,13,60,91,30,16,42,96,42,13,36,71,19,96,28,24,28,94,54,60,62,52,41,46,47,4,1,87,65,13,30,51,49,14,36,50,85,51,40,53,22,73,36,78,64,50,78,22,11,91,45,50,43,35,1,68,95,14,52,72,37,48,65,22,88,27,68,74,53,7,53,23,44,82,17,42,15,93,36,40,60,37,33,30,50,9,85,4,90,26,82,16,84,32,47,96,12,76,8,92,90,19,94,82,26,66,53,22,86,84,57,51,48,89,13,15}

{39,32,72,94,27,18,44,5,49,42,21,9,63,6,60,90,76,88,58,56,80,93,41,86,16,57,71,71,50,79,47,91,85,25,71,89,23,74,71,76,16,3,38,88,4,97,17,98,75,45,47,42,7,20,5,15,37,30,52,43,61,23,1,39,30,71,93,51,88,40,97,62,13,91,59,83,21,81,81,54,46,89,1,25,20,12,89,44,52,48,6,21,83,77,12,54,10,3,69,17,15,63,32,20,60,27,69,29,32,0,55,63,32,98,54,94,31,47,61,93,62,8,63,46,71,95,11,40,2,30,16,75,86,64,65,19,71,55,1,72,51,22,86,74,60,95,95,49,1,97,60,92,33,76,73,22,82,87,24,57,45,13,93,60,15,60,54,68,28,28,20,56,44,43,70,62,66,45,67,78,54,40,11,90,75,57,10,2,4,72,42,88,79,12,31,54,90,51,26,87,87,14,64,31,19,88,45,47,35,9,85,96,93,59,35,86,47,45,95,20,45,13,52,27,35,77,23,4,15,64,44,44,27,70,4,84,98,54,79,93,54,90,43,14,89,98,50,49,94,26,41,57,96,89,72,20,71,5,34,25,99,38,83,74,67,40,56,2,32,6,48,83,39,0,39,9,58,44,18,48,14,93,21,63,72,19,75,26,61,7,46,20,13,47,95,11,18,57,36,16,1,8,65,57,91,6,45,13,45,50,52,49,99,91,36,68,9,40,71,70,16,23,14,9,84,51,37,83,1,92,94,29,55,23,68,37,87,0,25,17,79,94,64,91,69,78,28,53,90,70,87,40,55,77,22,33,79,90,72,8,72,20,2,46,7,50,43,59,99,6,51,51,65,92,24,65,33,77,6,34,31,43,6,16,18,27,54,90,52,75,93,28,33,38,86,34,54,11,58,89,75,34,16,98,89,69,85,23,46,94,9,21,8,66,73,52,12,82,95,51,7,80,82,66,85,56,31,3,71,98,5,80,9,7,99,91,30,52,39,83,7,8,74,20,67,42,34,18,63,10,74,14,33,69,35,55,13,64,12,6,37,26,77,85,80,36,12,91,77,56,42,22,87,4,78,10,49,17,74,1,45,52,95,17,71,98,67,16,28,37,27,83,65,84,51,24,3,17,25,72}

{944875839,1472071,6000110,13606,954295451,22467937,3802013,953130608,69694146,78412,36,1011877142,11478128,46299354,83400057,61992118,899107113,5901925,112965237,50454,44713269,18792920,381647708,80304144,748,8914125,748772627,740611279,337531049,8253338,918812,254018,4761171,48513249,748154630,748850410,55049275,866474616,748844412,899018352,72707260,1565654325,18299012,60610162,967658030,14621305,7435667,54293604,174369,63,990567,7264313,898113809,5999706,957980153,49761,54946,18047293,71551327,422208411,35240982,55194902,70907772,8245949,866503359,748753593,15533350,79176825,154089,278,891765899,13639,10849342,37295136,337644809,42359847,61984102,561015434,635182773,4860,1159992,344455504,70340026,57869141,53160292,54478711,60530283,4558588,910697063,981810689,46045243,236290293,429916,236290244,82601180,5185,72708011,950596866,82601184,7685513,6340,11188052,113880871,11186659,80645099,1173650,670337190,55391927,400056441,473291297,67931378,11098187,61970510,46298727,612528551,980510,6666,8198118,107915012,2429038,437805,415539352,59329304,92978953,767523333,742317868,70023843,411,41877238,61459506,78452,807616,343913033,32056626,252810379,60516663,748850152,2978074,63349601,5052698,1578552,6,209898994,803571942,96167,753831392,753825658,70177935,63547029,631011171,381519066,10352798,483269,891917740,271322,149,450,981810665,753831450,6,13540,58541725,7279358,96832,4,96176,441833,4778514,71288789,70443846,96142,1131137,202641,476990509,80741134,7279430,343031582,748850335,8517003,72702069,7186005,246,252363,865563891,781250,8963067,236290205,39638505,1822243,6019791,236212487,895877,10352133,795082,927,61988132,573082,1565164,38744039,7279359,745,742317866,39762837,575103,133151546,8155832,89503,18076054,51281389,206223735,953218972,138439614,7279406,504254,65845757,83449059,918071,32134351,753831478,981811282,53,4856086,827210860,62226490,403869497,235708237,54293576,342619693,30689182,78351555,5705078,342720102,1164835,969493065,2754571,353162302,8253748,18990595,581341,1170331,4177,55363129,418006194,11470198,254135,13806,307536961,14904264,80728289,800832321,381614018,13656771,131076902,35275487,5999920,70515951,747931674,1007405972,1039095433,41973643,8559,898412157,7612789,865654012,10302367,447,753865909,68228153,61912272,46293754,437824,441833,373360480,295133804,7748108,7471866,40437976,427362095,100317564,4178,11566201,7258594,338226855,10749561,6000202,72025566,482351,13511111,35298153,897307,5,8711,32688022,926631,753832239,252350,92894993,9644431,8461569,11186528,135293330,7093377,637575843,4112810,72882666,46508066,190,4850317,994058,338218972,71897070,70276112,513824,254121,53620667,102888,593602727,9124,802763514,7687017,91644315,54298830,64674535,23094438,494034054,10001929,83471544,1018902,28991221,4850354,17622,24682042,541222689,24227715,981882404,422691668,717,65517871,72005843,7435665,35276152,344441887,32223406,71642940,83493702,5757,68680816,981519819,54284877,1164831,90,581761,7405076,301295584,54294134,505706,8962511,338217447,5999495,8340622,5995990,253456,30697768,6004654,987198,338226154,422708587,824236,8150,6943696,81929291,1585749,91645681,4850356,612524486,91743157,505270,236290028,46293376,969493596,92982013,422722231,46289998,251526,92984553,3684765,92623,251160,70949585,784629,7356985,60582009,428320,5546131,87164745,1700229747,60526087,131348230,28663948,47,71288795,969480222,4863,96170,17,12380696,381702387,54288634,924382,1822251,33325575,86,98820010,339605136,968261,70331976,69382978,11566779,762194833,336661740,904547,39103242,455,1326255911,89455,116435,8442828,612530270,716716180,338226190,953124062,37538275,30317110,739993,7794,338315495,421766845,52902286,70907766,365980,753540644,4376824,936669401,5999704,10327208,77763,877848716,92984440,11285500,1165711,865484049,877069419,981304788,83203445,962965735,58984313,202650,32133992,6792994,46294919,24917,39914371,227840525,89322,37632432,8424143,387296,1190635,560566620,30032064,166780,1835793,9311,45357986,5757,914,494034043,69670321,866474604,68443884,893325,827210862,746656416,7686249,748841033,60529630,10339193,1094,23514764,344467994,982976221,437763,170446327,4,10513592,1565073,612524548,7686221,48310654,5999491}

Returns: { }
{24704,28,1,9138094,5109,82,1,9534,94293,1,65364860,77370,80,77761485,276,1,827775877,70840136,7468,317020104,821377,1,9111,1,1,771610969,6719193,1114444,749,1,221,6,1,79,1,1892616,1,4254503,7674124,12157959,62636,1,89739007,492580,8122302,1,60241250,50264999,1,42341544,26370,7192,570535972,628,663530,442846080,74,343656,2371,1,1,865286137,577231,68759,390,785,32433,877,9,1,2811567,88654949,58,3845673,21,913904,1,9692520,711666086,172,1,211350,205,3,67999053,261,110,1,21676,1,752,1,1,52,7719,3573678,261465,3834067,7721,71706}

{25107,32,126,9138163,5149,87,34,9593,94382,7,65364945,77484,201,77761705,276,2,827776047,70840254,7473,317020129,821400,14,9472,23,72,771611139,6719389,1114688,962,13,302,10,260,103,1,1892643,13,4254575,7674150,12158109,62636,272,89739035,492746,8122500,10,60241512,50265021,47,42341560,26423,7241,570535992,887,663587,442846080,325,343675,2684,332,1,865286174,577237,68884,473,1146,32435,1240,13,9,2811583,88655103,356,3845742,22,913922,3,9692787,711666170,176,26,211354,213,8,67999077,279,302,135,21733,2,764,147,1,53,8057,3573916,261489,3834134,7915,71735}

{3454,21499,502528,1,85740984,5,86412217,831746612,1,44743073,4277942,4,49146,86,1343,7625,45034,579745786,1,88,8481765,6,930497065,1,1325,4653080,947128786,1,1,1,1311452,27,353665386,816223,1,1,56927,1,1,380140068,50704,123,2234,273,42241229,8,1,98,1,4,9850,689,9,9731090,880044,1,6,53910,4784,1036,1,95925305,1,379,38188,278799607,301607,1,199,8857,78104,387353813,395738298,9739,47519313,1,1,9524222,772554,1,24,2740,7552,1,67325,8288,440561216,46833,727,65,55826141,6640,1,1,1,707,72,6,146,1}

{3491,21504,502717,4,85740989,5,86412355,831746617,64,44743074,4278108,198,49223,90,1426,7830,45135,579745812,1,233,8481937,8,930497204,40,1331,4653580,947128789,38,15,7,1311717,31,353665387,816342,42,24,56929,110,4,380140068,50708,196,2692,543,42241253,220,8,135,4,8,9927,720,140,9731396,880049,1,7,54058,4869,1038,34,95925692,51,408,38540,278799829,301609,4,204,9098,78108,387353973,395738457,9754,47519313,42,115,9524245,772845,189,102,2742,7552,51,67692,8444,440561288,46971,734,97,55826173,6707,1,33,2,709,414,8,150,260}

"BBWBWWWWWWBWBBWWWBBWWBBWBBBWBBBWWBWWWWBWWWWWWWBBBWBWBWWBWBBBBWWWWBBBBBWWBBBBWBWWWWWBWWBWBBWWWWWWWWBW"

{69,82,43,51,51,17,22,0,68,43,52,22,75,8,17,50,36,25,28,12,77,48,66,70,23,93,35,86,29,4,72,20,40,32,77,77,55,92,74,83,86,43,1,66,55,93,24,98,63,23,58,96,48,82,68,62,72,5,93,30,66,69,39,62,25,48,21,44,58,57,43,12,67,91,35,64,83,75,16,16,76,24,90,87,50,11,13,49,73,70,79,40,3,10,54,26,68,13,93,74,72,93,0,4,25,34,84,64,11,76,26,39,80,66,9,13,17,39,55,58,43,90,23,66,43,47,1,89,34,79,39,23,96,90,11,30,14,86,55,86,59,5,83,73,20,13,16,75,1,49,59,11,86,17,30,26,41,38,52,31,97,5,58,67,77,77,61,68,88,54,32,29,86,87,74,23,19,96,19,11,2,32,7,1,95,51,99,80,97,46,63,71,77,53,59,27,96,69,21,52,4,58,28,82,58,7,40,92,64,21,26,5,60,88,47,16,39,64,35,59,71,22,11,67,58,82,26,30,61,46,86,38,50,81,47,4,58,57,94,60,71,54,24,58,24,3,81,39,36,76,80,3,5,19,7,62,16,41,19,60,89,4,67,92,87,2,12,92,84,55,77,70,59,9,54,43,57,65,85,82,18,72,75,75,88,74,57,34,75,83,9,34,2,97,13,63,38,57,2,22,75,18,99,66,98,85,27,71,89,45,40,52,49,19,97,51,97,34,56,66,97,0,14,79,40,63,11,11,20,19,3,90,44,38,29,98,9,25,19,36,95,90,44,58,48,68,8,17,37,10,5,40,13,75,49,47,23,71,55,42,2,67,75,42,4,66,85,63,54,84,73,76,55,51,80,69,57,88,6,64,9,31,16,95,69,36,13,80,66,63,57,75,81,50,88,14,90,63,66,13,25,21,67,41,95,42,47,70,78,3,6,32,99,66,44,84,91,56,72,6,25,67,6,1,19,31,56,93,75,10,88,92,16,31,61,99,91,38,83,80,62,17,48,23,93,39,11,43,0,73,37,45,39,70,24,96,87,61,45,14,40,63,95,33,17,80,4,41,58,58,51,4,7,53,11,9,72,48,88,10,9,17,75,9,16,25,28,58,65,77,83,2,55,85,9,5,55,42,25,22}

{83,30,15,25,24,10,88,55,92,57,87,76,1,0,59,65,98,76,14,88,96,21,81,20,24,94,85,63,9,56,65,45,75,8,62,68,11,21,72,69,69,54,62,41,46,98,75,77,89,4,62,52,62,13,44,38,2,94,90,82,60,47,83,5,46,50,47,42,47,24,66,57,33,50,63,93,84,61,26,29,28,90,18,44,10,55,70,73,23,76,11,98,35,71,26,12,64,59,89,77,80,20,19,72,47,82,75,69,71,37,71,0,63,38,2,7,33,79,80,86,13,35,93,52,66,70,40,41,10,83,10,45,6,21,75,77,36,22,7,70,59,13,30,76,88,87,74,81,17,88,91,42,99,50,12,37,54,1,74,4,22,91,90,58,51,8,5,61,68,14,23,85,92,21,24,42,79,7,53,23,98,81,96,26,49,53,68,50,41,32,86,88,95,30,24,69,87,31,65,99,73,24,12,81,88,39,51,10,23,22,64,91,56,58,99,40,67,5,27,80,36,54,76,81,54,78,23,49,54,6,4,3,28,30,23,78,12,7,84,31,44,89,62,26,16,67,28,94,78,45,28,56,93,77,52,52,70,97,54,56,8,32,47,7,3,51,98,89,81,87,5,9,8,5,68,33,7,70,18,17,47,35,61,25,6,15,95,96,20,66,95,36,6,64,38,87,55,83,89,3,99,28,73,32,69,33,3,90,27,37,6,77,53,58,23,7,75,72,75,78,56,52,21,60,37,86,93,14,24,67,12,69,75,11,13,6,15,82,67,56,48,87,67,32,69,9,53,62,59,59,72,63,69,36,71,97,80,86,7,36,89,72,11,49,37,95,22,95,58,37,32,47,33,3,17,75,63,2,33,10,39,12,14,8,92,57,72,24,59,3,48,25,28,26,62,20,44,16,34,72,85,41,15,58,62,27,10,47,62,49,8,4,33,93,0,13,86,60,40,93,24,94,92,1,78,76,30,51,54,88,6,99,39,98,52,67,56,89,39,5,5,45,23,28,26,37,25,9,35,98,69,29,6,8,73,86,52,16,81,36,54,60,22,38,8,90,4,21,38,58,70,3,11,34,91,31,94,12,35,19,82,23,12,87,34,50,52,68,72,89,39,43,58,51,48,68,40,27,44,88}

{8926,1304780,499802,776256462,7884,580943021,930508285,442823974,469,202781,570583526,930506168,935165,73337,650584309,278815962,64966,776264728,1447,69459,18955093,674,478458,10394301,1602,7399,1900248,440629238,44743454,85745386,116939041,9303178,901967,353760127,18639052,19216269,442768508,215,348218491,9142,440553106,1050853,598153,333282,382605136,8266,914960,19209285,69209,85745887,579923,570274152,577323,77768845,50363708,7097482,395235298,7088,55826199,1304093,333348,50274231,392298586,576574,716023418,36244,50264972,123854858,50267655,396024,761934,347999,816819,30103,1824310,38780,68066544,960298104,1768139954,827820445,817,55825531,55832350,50316653,69606399,442769424,75028537,38505310,3855450,2890035,77462,104990,7244805,406365982,952304337,953799046,38710,77762864,643,47687518,395738708,9303087,316998782,310002491,725998819,7693,67152278,30000,475930785,4254400,641710188,392269131,69532,7943452,44239760,909499024,649769812,392297711,442845524,440558707,77268373,57717406,712,570805818,761340,47531111,91859,512,69643211,690,429068954,73,86673704,55827093,836265,17904559,55562,489944671,1274582830,443294863,68,77761432,1312351,3854750,9280398,77808595,875249738,705947,650564308,42320737,5331,89664042,440632242,650549995,1262895,949593414,1543890,7696244,618055320,85746370,934322644,7127,55822565,5850,19208348,19122662,961212011,961210703,22131,1542550,353665332,9041,440562033,46629,47517484,89741630,317019849,831998869,326750455,77681,509937,353873442,831998955,953825903,38768138,9736993,72181,35829,3834118,413907504,440629393,475986592,15641966,8420523,204,1122756,308238,9177,278800997,570464510,89571969,6482,50500,215360,23081,463754490,105888,69642589,38935,930506861,953808893,6567,739,23763,50193494,827718964,392296996,37930,778509,845,475951565,930271720,77017,213103,1537014,712431162,953848449,43652817,959668157,146654214,354824697,1464494,35331,1519689,50265354,796628624,46734,832026632,68058556,9,425645093,1543526,578903,953840646,827819341,9137090,212715,392290140,712381956,719,1599,9138003,639,316851759,1402272991,569958066,824997950,3834261,317236614,641,94094,267929930,50264726,831756728,9184631,509348,56221,429,67852834,442892941,19216775,47476072,94746,44742502,1544028,1308711,832026182,281532571,15937,650578421,50258178,397631672,960296904,775350162,86433741,47511301,3283033,262097,8573745,334487,48315599,56929,85909706,3872656,70087984,114878,435171367,397465,502285,939626342,841960,6894,3783393,353395887,17045,807493,8023690,420182622,1114067,4254615,86423620,570367291,52071839,317022118,3834240,831748757,2919753,395738092,913532,712105473,3833486,570514129,1462,178,4242143,440628837,77389,78569,9301409,317019000,9187802,55817933,49449811,7597060,77761332,86420283,44734706,776257057,317019934,56489,3573994,55779931,50362768,353662255,8772,44743218,9825390,650008478,4255633,69642406,395739107,56072,77769710,970852,433667883,46430460,120,141862378,1274583791,89793432,502052,395739967,837159,47399644,89990217,3842273,930497164,3505422,1536491,63811563,357501034,50264711,443662131,9131351,650585962,923234,327865,523755,85596718,69604564,347555215,49711,827819759,3480123,8462,347201,473500149,1936,333210,9069157,397423,775350787,212849,953812293,556296,9301876,21706045,827751618,333890,473500212,776254960,160,8618,6433,2996494,88627790,19378318,47531994,711862058,33203196,86506062,267928932,888333,333618,50334696,9829149,440555019,184,395750499,86411786,776262338,6582,86412447,68,395418887,605,1311200,8316,1130177,69619818,86432984,72239,1195713230,7452,390676034,70154,6410,7673720,392297805,157,577686,650586441,436,1435,953847817,388043330,776186842,45235240,1870920,3848106,4263000,411,305886123,2794766,3854601,440822834,570583469,133390139,213703,55288,1430154,69269,934061358,8490649,650491047,55826908,235,564,7676894,636,2881247,94873921,831814017,9732307,84137,44743200,395745957,49769,1871277,255933377,44736221,650586448,962592,44695985,827820742,776227644,570534581,6917,116939455,19217055,392297890,995673,442848958,14323,44742896,617,442833836,88626610,801076417,930509593}

Returns: { }
{27105929,1,64,66930549,388404,590349367,466574259,3,483,2837,564787268,642379507,275296,234635629,97908,7055884,99408,1,841295567,1,65,9009,121680,589776043,875437118,7726992,6,39,6316,60543892,34618286,95788510,1,9804,81786,6845,21,3,2148,1,2700,59184011,1,4017,957,3,4891105,980812,35565,1,79128134,797941360,78352,76,1,1,577228368,2847166,2420647,1,6726,74439989,1,977093584,7584,35816,34617,3460629,7603647,923362895,1,159817580,108,1,283549,59088137,8534,4746100,9638255,1,65,7297318,977,27221,540150,1,480,725,1,4,1,50836,5,1,37899476,8677349,12,455077,40,1}

{27106015,5,401,66930697,388513,590349371,466574368,4,729,2859,564787280,642379858,275303,234635632,98172,7055918,99430,6,841295575,1,70,9012,121967,589776054,875437121,7726998,258,90,6369,60543909,34618419,95788825,270,9858,81797,6847,197,17,2200,24,2703,59184205,5,4026,967,3,4891132,980886,35571,2,79128560,797941366,78353,97,1,9,577228375,2847507,2420660,130,7054,74439993,21,977093631,7595,36008,34669,3460635,7603774,923362905,5,159817581,113,65,283551,59088180,8536,4746226,9638288,212,433,7297489,1032,27566,540155,70,711,728,8,217,2,51029,34,5,37899678,8677390,20,455384,44,55}

{81427916,1,532,9823815,99973,7,47,7606,16341,49109,1,1,629672,798,353,1,1605,25550574,974689,9623,1,16370,75399708,3,502,560667,1,8836,51432,57123929,166,430,7118233,5502,1,31787931,436,1,91092566,4,148144494,8916,936408,2525,74,788879193,1,4583123,89269,3645828,37,46799,3555441,1,86758448,1,52369821,24871,1,249,91831,754937460,14213,1238,485996104,49135,1175771,645937188,1,376,3848,75391,1,49518302,77255,3375,1,975083,462,3842,89,1,1,1,11,2859126,8969012,8,414564888,360374627,1,719650805,384792,87,6626,887885511,5043108,778204854,76313071,1}

{81428119,521,591,9823823,99975,56,54,7712,16356,49140,12,81,629753,952,354,35,1817,25550693,974764,9702,77,16456,75399745,108,595,560686,71,8881,51442,57124055,185,467,7118506,5893,11,31787991,459,62,91092574,5,148144670,8919,937024,2653,100,788879228,28,4583126,89292,3645996,38,46870,3555444,3,86758449,27,52369823,24872,10,260,91834,754937850,14515,1293,485996147,49143,1175893,645937324,20,383,3887,75494,1,49518314,77268,3403,3,975585,486,3866,91,8,5,66,12,2859190,8969318,9,414565224,360374912,169,719650806,385028,90,6719,887885773,5043204,778204864,76313100,29}

"BWBWWBWBWBWBWWBWWWBBBBBWBWBBWWBBBBBBBWBWBWWWWWWWBWWBWBWBBWWWWBBWWBWBBBWWBBBBBWBWWBBBWBWBWBWBBBWBBWBW"

{19,97,15,94,55,40,5,41,88,29,75,56,10,50,31,5,7,22,30,37,40,54,40,33,43,91,61,54,14,64,8,68,88,86,85,89,55,37,19,39,22,50,62,16,86,13,57,86,57,87,95,15,43,77,77,50,12,48,96,55,23,90,82,39,36,21,50,36,3,52,61,57,16,65,67,63,73,60,80,49,14,58,8,76,72,27,11,97,48,34,59,24,81,18,55,25,72,79,49,49,86,51,56,39,16,48,23,8,53,42,41,8,3,69,89,80,7,47,6,2,76,47,23,34,57,93,3,65,21,35,77,30,40,60,2,47,3,87,29,1,67,40,8,88,2,78,82,32,75,89,91,56,42,10,66,59,57,8,75,53,74,0,19,91,34,50,17,42,57,84,33,21,50,72,7,4,66,34,62,87,68,50,38,17,95,75,98,57,13,53,23,56,64,61,81,72,64,72,77,13,26,27,80,81,83,25,75,80,18,6,94,43,28,29,90,16,71,50,55,69,2,3,50,14,51,81,76,70,71,45,28,53,46,12,84,45,19,10,38,71,45,79,72,66,10,11,23,75,84,91,96,98,37,82,95,3,33,76,81,17,23,83,58,85,53,12,49,38,30,22,10,20,36,1,53,54,27,49,94,39,41,79,35,7,22,69,79,97,59,54,37,2,31,81,80,16,23,1,97,35,93,6,74,3,11,12,0,57,4,75,47,23,29,78,76,13,81,73,18,14,3,85,58,30,5,9,11,4,15,14,45,56,2,39,61,4,89,49,44,76,56,40,1,19,36,4,20,29,42,54,33,92,15,65,44,81,87,60,64,1,19,9,51,24,78,50,17,28,19,83,49,75,43,52,88,74,25,8,50,9,86,29,83,36,25,14,12,32,41,95,71,49,56,52,94,84,59,83,17,1,16,86,18,27,89,68,76,70,84,28,44,30,75,71,12,88,66,75,83,73,35,36,83,89,99,17,25,71,90,79,39,75,87,70,52,27,94,75,22,89,63,11,26,26,4,94,6,60,8,36,91,74,95,70,47,38,20,42,1,84,29,29,33,75,16,63,85,83,45,69,55,24,44,8,15,19,59,41,3,28,59,61,80,43,23,26,58,6,60,99,10,42,76,17,84,43,82,19,11,34}

{58,96,47,50,91,87,75,32,62,52,96,25,44,57,56,56,46,39,6,34,48,55,84,75,1,34,19,29,82,77,17,3,88,43,87,35,24,64,28,23,76,54,27,32,19,11,83,47,37,99,60,6,39,61,34,82,78,85,4,2,96,64,70,69,90,44,32,53,18,19,28,11,95,48,1,72,11,20,70,46,32,77,43,12,46,27,22,77,40,60,99,75,84,18,54,93,69,85,63,35,64,52,90,49,59,5,3,61,89,84,69,44,27,9,25,30,8,63,23,47,32,97,30,79,88,3,6,12,96,48,17,25,30,97,42,30,55,87,50,8,33,89,37,25,86,60,68,45,3,99,42,85,12,61,86,10,51,43,83,67,81,32,71,14,87,23,82,28,70,83,75,84,11,71,92,19,49,60,81,5,40,0,16,49,6,49,41,42,36,43,55,67,99,25,62,23,66,79,32,2,0,77,84,84,98,0,77,16,39,44,16,54,55,24,25,92,4,46,31,44,87,45,82,65,32,44,51,7,21,69,3,77,17,59,42,22,65,57,6,33,34,17,61,52,21,30,68,53,26,74,52,12,37,94,97,86,72,51,57,25,42,52,14,73,16,5,21,61,80,84,50,51,67,72,0,91,46,8,91,83,33,84,14,26,48,36,60,42,52,53,35,89,88,83,59,94,42,94,35,63,44,99,83,53,73,67,24,60,46,43,52,10,55,32,84,96,47,28,47,80,75,73,49,9,43,90,51,32,52,34,21,19,45,95,9,29,3,66,67,52,57,9,9,2,84,84,84,29,74,17,85,33,93,93,44,67,78,49,33,47,56,5,46,82,50,95,68,61,51,14,60,48,60,78,73,99,35,50,8,4,85,69,25,6,53,13,45,27,83,4,96,34,46,7,64,50,19,81,36,8,72,72,0,57,73,65,64,43,13,81,29,35,80,9,80,32,59,50,5,15,90,17,26,99,34,54,48,42,6,34,27,93,71,57,30,29,75,39,3,28,75,24,42,85,30,18,76,62,21,37,77,99,28,42,81,6,35,69,18,81,47,47,41,30,4,49,66,30,3,58,2,25,37,52,91,37,40,41,51,43,94,63,28,43,97,46,31,18,35,5,12,56,46,93,25,68,49,60,68,10}

{2429911,773616855,10657433,41236475,719701471,148146892,531264152,66294371,414550020,114034451,64128017,621311266,564786278,76305620,533808551,65491624,4898097,75522326,431956799,81535,148088099,86757968,148681870,59080888,6570,719681297,829368518,90178605,97116,489760003,25535511,69149947,82,8969463,2860645,328593240,875437555,486003483,48869,589776575,75513510,165887494,5579,7215589,8960053,407744726,2845225,5365538,2872012,685,896464524,459519070,7270,823656753,5639911,79127430,9992154,2806031,5332251,218,594820013,486003824,5319,923363156,1203,23555,86246177,229,783214012,3624555,829319803,639557121,896462106,41024,649397746,977095186,691897271,97793,4093,8537703,7215711,3301591,17755,896577,4890299,120,717658369,781520549,148088078,166471,803,816351920,6757030,779,86758429,8288088,923362298,2854667,980738894,28148139,477034128,801371911,629598410,3645746,99983,590402944,532668801,829360910,360374739,1477417,864187058,16712,76745771,923409069,367540986,34618369,8995,980694406,123201436,5563458,7127015,774147438,555157624,85258,417387113,76754462,409467425,818999,5036222,31726889,29321712,27452642,182759347,778561999,936932,38219604,76755237,781,75708856,17352,649382802,212232004,17613,421732259,8969341,9722217,7601934,781760846,17663203,360374840,718765236,626738331,582584,1245285487,7827151,564786584,795116517,18024,59064410,649397481,7090206,101415133,159883400,719697134,81000,510646955,25552359,891102,2867628,513559,59081154,547962,563251196,159893526,378065,478998,2503908,167424,7311407,590348169,155746213,133449934,91188472,21905355,1345782248,62729927,135487899,3758922,234635967,6887,589775992,1167334920,486004588,821089148,7311158,589775876,484846600,4568,10889276,234635690,108533714,5711702,539638,6756615,76340550,100245492,55314263,101840,842270766,466573061,37805090,86760813,57936,872017176,8286872,481826,159452954,74237141,95789422,923362794,334,845986936,79126779,110353,805012190,7297025,797980233,4604,159867186,1712242411,76697112,5721545,30442166,904910,1477440,713601963,75524,561964210,557665276,159877078,788960824,25546825,829378191,2423470,564795480,607761234,582173013,59091986,540744,719806433,1565739,75959280,487,37906002,117902433,67784145,15885,797979105,4475501,32717699,590712694,3607052,2322734,46659705,101504,590704304,3637864,738283304,34617517,75818262,485659049,797987226,649397574,81,108532993,632943741,4900346,3629980,757491825,27962,59177906,543215,31878302,7973,75397405,923363274,94240,777722536,3633287,86757989,31795637,360373867,510353030,7269668,990,37804618,590713742,37906608,746865407,1008874077,259,466573911,333716,76753793,691897960,648493579,929758489,2907151,4602153,59084678,1929729,24989262,117667661,16755852,531728,239678619,10898844,49473312,843922762,98260,17662932,46658449,6067274,34663906,590348204,52249,155607906,7407847,10532463,16053,788872388,629587666,788878974,896562698,829324902,117179629,417482231,2505232,649397553,3625457,626725430,148095371,51765,9933,540447,252262,539294,551,1143199,61207585,2863479,388392,7055775,84798,396,649773657,9637962,3561550,485992580,5564305,629588552,590395627,793097447,875437357,69491246,958337632,33153916,829319912,797979096,70585,3561289,59137996,91773,13114694,365046999,361050,38946763,79145034,79144683,437142,6109790,919942152,8260661,466574684,8287112,234538816,788525302,7109471,59165717,896074912,164785559,3727033,624706993,3625484,523881126,78587601,10286,7270635,25550197,17097,100619,8968758,894642210,2863517,310856299,7617331,485996640,6206,234096349,7342780,117666626,66400009,59091251,159840770,904043,407446589,1209416,20044145,590322739,56574509,31794555,25550809,26692,360373742,82458,61207933,8162571,160678072,466574862,85842,8616,59091923,159891643,2867926,38095197,117658304,21192393,59091959,132385458,360329312,918007095,233057965,935947,2859212,34329896,804363245,466565544,84127,7855,496,723371235,361422,896504617,933580,10899688,557664499,31794784,924299539,842270216,6756768,112103926,112103239,59177355,24472760,386505,980738111,1718509,34590936,845986328,920943322,1032,868270477,979,3617553,726656149,9076,148146204,81,740788055,51802,37905523,1657590590,58117,148,1367526223,4892017,93368055,375695259,31695958,590348745,565142303,628661684,4882888,25551126,7747980,7601754,3646676,88572,634775614,564705694}

Returns: { }
{985,8334,11436387,3515,6629,3,52780792,1,1,1,744,79965752,10619935,1,1607535,58355,2953033,1,747,3505092,541522,559832456,42395,7242192,45436,8917,11161,436311206,1,1,3619876,541,3148,555846306,46,35687,887,94861918,41,1,503864,1,559,1,7444,1149340,1,851,6,6166,63827066,816,64867025,468737,6086,1,208261,18516913,53704,68148,1,901895415,19666229,723530,1340,670097480,7,438,1,1,540,1,76462,55,799464,49,972664973,61,86251399,214414,960641196,5,310,1,747021,6536,997845,56568247,51,859,625336,445692,919804,11808417,7208,73142,51443,22727,64115,82}

{1026,8346,11436729,3516,6945,232,52780803,32,352,8,938,79965760,10620022,66,1607536,58386,2953246,34,747,3505128,541526,559832478,42395,7242217,45436,8917,11426,436311210,4,3,3619916,543,3352,555846692,309,35839,892,94862113,57,74,503877,16,586,1,7468,1149536,6,851,25,6455,63827317,859,64867166,468744,6126,2,208264,18516960,53735,68157,13,901895661,19666415,723587,1342,670097518,12,505,64,20,846,4,76464,58,799478,207,972665100,64,86251399,214823,960641199,6,317,5,747054,6548,998066,56568362,54,897,625343,445780,919877,11808772,7280,73158,51444,22737,64143,84}

{6990684,9688762,913066286,9339,54095855,1,1,4280354,373,15343,64,2,57588,1892302,3853977,3907897,1,377348,1,1,121247,1,4388,4883772,2,159223,8,1,61,1,8301308,33660,1,733538592,6570,1,18417538,783,69935,39534658,226,843,749,591,56524,2504,1,435300,1900,1,6911029,442784020,554212172,88718729,64,470335,548371219,1,1,49,1,1,8433,1,19,1,8719005,51729284,42,922,1,26249,469667392,1,606749356,1893911,245501,1,713910,1,1,7738,607296201,4929,85048,608763403,9897,2677,1,43296143,717396305,8263,529625100,1,1,7292,155520,1,34,35}

{6990753,9688762,913066294,9343,54095871,1,5,4280360,531,15380,100,100,57714,1892551,3854001,3907901,54,377360,9,6,121479,1,4405,4884079,67,159279,153,143,174,17,8301516,33672,7,733538690,6701,58,18417562,1020,69940,39535005,549,1073,815,890,56538,2513,20,435450,1977,188,6911031,442784256,554212185,88718842,104,470349,548371338,8,51,52,38,7,8855,329,31,18,8719048,51729340,62,925,221,26535,469667398,19,606749503,1893916,245589,37,713913,44,45,7773,607296239,5239,85146,608763506,10092,2766,3,43296224,717396307,8491,529625176,9,4,7388,155581,18,41,268}

"WBWBBBWWBBBBWBBWBBWWBWWWBBBWBWBBBWBWBBBWWBWWWBWBWWBBWBWWBBWWWWBBWWBWWWWWBWBWWWWWWBBWWWBBWBBWWWBBWBWW"

{20,34,20,67,34,50,82,43,18,77,98,85,32,30,86,66,64,39,43,68,98,95,48,99,25,54,97,82,3,54,25,72,78,70,67,26,76,78,19,59,17,57,43,66,74,24,38,24,25,99,76,10,27,94,86,38,77,30,15,69,61,63,55,89,77,30,45,46,7,38,94,23,14,15,58,97,27,25,66,41,19,59,78,98,32,80,81,30,86,5,74,76,79,83,99,6,90,47,12,63,22,98,69,83,32,32,60,88,9,16,85,29,23,77,86,45,95,29,75,80,27,51,13,1,54,91,96,63,7,58,85,16,93,69,65,39,13,75,84,17,12,57,12,61,93,40,19,51,16,20,79,73,6,82,36,77,46,33,60,24,91,16,56,65,94,20,68,30,0,97,89,85,87,81,17,63,47,87,61,0,18,69,63,38,62,75,18,32,78,2,86,39,34,76,37,45,55,37,46,4,12,13,74,85,39,9,25,75,21,95,75,0,10,39,7,18,28,2,49,37,99,65,77,63,41,98,2,44,74,47,5,40,89,53,69,49,91,94,90,19,73,85,76,33,8,80,67,37,36,9,78,89,4,14,46,26,52,9,71,45,26,88,69,34,94,1,82,96,53,75,59,1,28,68,22,48,18,44,17,91,81,63,82,5,81,15,36,20,83,89,76,35,27,53,21,77,53,71,18,17,96,52,63,33,74,5,17,2,33,36,73,90,21,33,20,8,63,93,87,31,51,17,89,3,90,50,39,6,99,47,76,31,67,95,12,64,67,63,82,18,51,16,18,73,29,38,21,2,87,26,32,99,36,92,31,84,42,14,5,38,42,66,80,65,1,12,39,65,49,82,79,24,87,4,50,44,79,58,19,39,93,45,85,49,7,90,35,82,7,11,32,65,46,2,67,22,76,21,15,63,10,7,44,16,30,17,32,63,96,76,45,49,39,7,6,3,50,36,85,72,71,11,8,61,96,1,9,90,15,46,53,43,6,93,82,75,12,1,88,73,67,45,96,5,38,40,45,49,77,75,21,97,10,83,67,55,5,66,30,3,16,59,71,9,40,0,27,38,68,62,75,57,48,39,61,5,1,71,12,85,92,28,35,26,14,66,5,94,45,50,67,61,48,44,66,90,42,9,86,76}

{25,5,40,44,13,33,22,98,59,77,12,0,65,15,46,37,24,30,78,53,58,55,85,3,65,95,54,30,42,62,7,80,81,54,9,20,40,11,87,3,54,63,68,86,41,94,18,26,99,42,44,27,38,53,16,0,16,71,90,69,93,53,94,46,89,23,13,85,9,5,97,0,29,58,79,7,30,97,43,78,1,75,92,67,18,47,39,45,95,99,88,46,19,67,33,48,40,62,69,61,87,43,62,5,61,75,60,0,23,1,70,69,63,26,74,10,12,84,93,20,87,60,89,43,84,83,13,3,26,35,69,55,70,21,28,58,44,25,69,59,70,40,29,58,75,57,66,41,71,10,76,78,42,4,35,68,10,82,20,49,49,6,16,10,89,97,89,81,20,90,17,3,69,35,20,5,6,50,89,86,9,72,99,56,32,17,22,24,46,41,90,90,88,77,20,60,2,2,25,4,64,56,18,41,37,30,39,37,24,56,62,63,50,76,46,34,54,82,54,87,88,23,17,60,39,60,96,40,88,52,79,14,48,53,14,81,80,73,39,43,37,0,53,14,5,58,60,29,25,60,45,21,6,75,45,40,35,91,89,84,57,86,2,43,68,6,58,33,60,14,32,98,26,34,53,24,45,56,87,21,46,73,86,26,68,39,52,49,67,45,47,63,88,88,97,57,84,88,11,96,15,49,41,30,43,89,70,79,78,61,69,27,46,41,46,98,8,11,86,2,90,56,91,46,86,41,98,16,72,90,59,42,65,13,99,70,80,49,8,76,5,78,47,12,98,90,4,42,68,70,93,45,15,37,8,10,19,60,43,87,69,57,63,84,96,38,74,67,65,67,5,44,80,93,7,73,88,10,80,41,5,80,31,36,86,79,59,2,86,51,48,89,15,15,59,12,94,50,77,85,12,68,9,42,37,76,51,39,25,19,5,35,60,84,22,34,95,16,4,2,63,78,19,96,1,25,40,5,5,68,93,34,69,44,11,15,63,16,64,27,70,70,26,42,19,92,82,74,93,94,37,80,35,73,18,66,66,61,6,13,43,61,1,63,96,40,40,44,75,82,20,79,14,10,97,9,60,59,43,62,90,21,17,76,48,29,52,9,89,5,13,73,42,56,53,59,46,59,75,92}

{570130,6803,159019,51680196,1886090,1218646777,607333588,64800,67076,438,10613854,601777813,670094060,7955004,1008136,103580578,44179,34853412,86964870,89187743,10228,536335,608767863,12504,670247977,74393,16382,602614847,11699,19669228,4129540,1430232143,86957275,5439,51714848,651885,972406476,6999470,53065505,73936,383616,17793349,335,9706786,607547722,37928,70359,34549,168241,1622,972846224,436310342,436380730,89180700,1964958,6921853,2953494,11894434,714055209,218,890086587,88973742,477435,43296923,43297023,7039393,3039835,608770255,4264580,69844,15528,9348474,5461769,3912343,160937,4303245,440992430,173389,8718038,86964596,13185146,1961674,614242749,51793389,2936,961075791,39527552,10768889,927515,115,607549265,972910114,3290034,51724346,1289385139,52782812,717517762,20092521,10676475,901172317,56527317,64375,19674697,4695,901892264,1897576,311,6991437,12111044,12633322,608769696,839,11402371,10947,606938308,1150710,10597065,832531,13702786,960221031,379745234,442784815,41404330,9696790,825892,449131,1788289,729265,4291812,17495,608769067,3423717,11807756,559833150,670097464,39588682,1843035,1743079,831220,445054,10676995,18013535,10677643,901842164,13702631,18013581,12224292,442784258,2979466,661898,972695399,86965722,52780917,553207076,18452898,198,1054,682088690,662427,39242,447507,49828114,551116009,670096846,43302893,639996,43296689,11913748,7410180,717998765,42919474,608756809,56570285,43720,797994,723534,53215685,14167380,945191204,7977414,16524,469743231,723329,548509923,19672092,1516508,46390,42480,86964858,924502187,717758916,678486771,6653,972910857,94441358,1152195,924031963,996490781,167778,309,10676762,546687174,607547794,608769479,134396441,11906012,39384424,96754940,559787236,548499636,21551192,7713245,70737269,1011954365,4280208,7483,5947,317205989,418,38295433,527,667739125,377614,723670,39534351,64451,924295666,552514,607548472,618643098,214890,4957786,43295214,418,5460959,13722,960203724,7044,678486562,3505870,94863238,601778129,1060669593,1283923282,397,960587439,51729834,94863119,18266476,15022,85812921,603127837,106869655,3567510,1151928,492569,619043525,453000,43270964,484743,18505538,1007690,924501371,5453,7118,62461428,607349960,1289178689,89187555,3567784,64531,9744079,10859,6984,89141231,47467,1151311,548515428,56942809,559394699,7716,723368,608283633,11527,7524,35685621,600660523,656534,51725040,44442487,972853629,687471,436311709,89187764,559809520,18517051,88911881,26135,79965424,273057,3759032,619073151,724647,1277463608,607548250,43297130,377945,924288202,1202419492,920312426,645,1153081598,559832263,1289384325,663226,64581,723701,68156793,55577430,924468400,275236303,548202399,43732374,12409,717758639,70737167,39598745,49828236,469744158,717585598,972841868,33033,721826167,1958373,10677809,550,1012370072,717003,607295609,972909280,442784742,84011766,435520,10678051,63766,717951604,613921057,924501514,56570951,10258,11805640,1151530,14567457,623567005,34079,831043,3505612,5461376,1019,56635752,339,27235648,959917340,669435784,9576643,10632044,568013439,721826451,670091254,555567167,214382,94165,904075343,65897304,66458171,63922,215172,53018,957136245,39534119,11808773,959493932,608735421,18423298,5267915,717806533,32246,317206465,5267923,522749137,4921,713393253,3966676,920536085,51796564,10631352,972903230,502916135,3965829,609480651,10676830,4280097,48608,2953393,99542811,972796984,442786353,40258600,46196,969405554,1151558,29294,39534618,4942159,52742713,5929,70658196,21369582,554667552,454758461,750490,6999584,3505655,902000057,9576492,9530375,519334,718021712,3966619,6,100058919,5775,52781440,11857520,687261412,2072707,9954392,12633416,1318,436311272,51729431,1151577,195595,1235,3575075,530041263,608442776,607542901,11808750,1900982,464970993,960618512,34761,5514,51729184,8248597,8719169,910614824,57462265,1887106,2953830,901827678,9671020,739096,608153,7493168,435807499,21143,1893467,626953716,2314226,18301993,5459418,39535910,901872920,15726,9696690,94192,10676914,628413993,188065335,559832380,412843,972898889,5459364,8718879,619079731,22470,44442447,70737962,49837232,901896077,1445,548516007,80468280,717953802,1647,83507,2881407,1501124867}

Returns: { }
{1,67778,4,1,37654,707,33955,387641,1,89343996,1,95986,69008352,3216894,15137,990,33950210,94689,565758913,1,921474,4906,49,317014216,23873901,1,32504490,1,581611,852,278909183,743002485,403512240,77,753,40,3395,752652,512779763,5247,7,484368,1,6086850,850790990,199479,4,64754,1,443833,2,220,35,338799902,59265,3284,25,1,6442026,4365,1,667769,1,566238,31201010,8594,86040093,392722,85104,1,1,2810831,56144,8,523175,71693338,8456272,4569,85577638,3115,587840915,1,591414,3,12,20423709,199,916782,755,40444,1,96837,1,139,36,744211497,54527,4544,5113855,359373346}

{1,67912,207,142,37654,723,33968,387642,28,89344005,20,96298,69008414,3217010,15885,1003,33950215,94696,565759061,4,921481,4916,51,317014218,23874280,21,32504594,153,581930,885,278909233,743002620,403512354,78,831,111,3399,752657,512779939,5325,10,484369,5,6086886,850791007,199495,16,64767,108,443834,16,220,68,338799905,59642,3292,103,281,6442066,4566,56,667938,6,566252,31201089,8599,86040112,392725,85118,89,6,2810853,56152,34,523208,71693340,8456345,4585,85577682,3137,587841156,2,591469,21,27,20423715,646,917157,1042,40444,112,96896,144,278,202,744211505,54838,4694,5113856,359373361}

{114,1,7,75663,1,124600,1,278,1905,1,6421,55819,25,3,1,68726,877376,6,1,85765,6286777,3586803,5570,444496,612,22655,835,212144997,1,1,126775679,89330222,822,45,1,3172,2,1,8077641,888,721620,548041010,172064096,40,1,698,93481,754,1,88138,1,1,3,546,22,621398,514,9774561,687545,301,2203107,58372677,58189,984,1,290477,1,1,43946320,977936,1,368706669,10,275526,812301300,6196,295,7190844,250821124,1,548577319,73935146,1,563,72295,84067,62,1644,1,7559,34427126,7,6501,79442391,6,10187525,1,149254,306,25}

{507,6,280,75673,10,124823,23,284,1994,77,6562,55846,40,50,5,68741,877547,44,21,85816,6286844,3586805,5587,444523,777,22657,1000,212145050,10,3,126775731,89330238,824,46,64,3259,8,32,8077991,888,721766,548041029,172064240,273,11,699,93760,933,37,88139,9,131,260,551,74,621414,790,9774571,687728,325,2203333,58372741,58190,1013,153,290480,5,290,43946336,978016,75,368707046,209,275617,812301654,6418,300,7190861,250821171,17,548577563,73935265,11,593,72305,84140,218,1906,5,7565,34427156,84,6537,79442404,11,10187542,7,149434,318,267}

"BWBBWWBBBWWBWBBBWBWBWBBWWWWBWBWBBWWBBBBBBBBBBBWWBBBWWWWBBWWWWBBBBBBWWBBBBWWBBBWWWWBWWBBBBWWWBWBWWWWB"

{1,29,9,93,97,36,17,60,31,51,86,74,76,25,26,69,28,48,30,12,17,29,79,94,54,31,23,50,11,0,10,29,9,23,8,98,73,72,76,66,78,51,47,11,94,30,90,88,9,30,44,92,91,77,51,46,59,64,68,36,78,84,24,38,20,58,49,37,80,65,53,0,2,43,62,96,49,4,32,47,4,81,61,28,96,20,55,8,28,76,75,48,8,87,46,77,26,37,75,61,8,15,24,58,44,11,17,82,83,39,78,36,24,2,13,0,54,60,19,42,57,60,14,80,45,33,16,86,80,18,63,20,53,19,5,54,99,16,12,36,1,43,83,10,80,2,71,42,89,71,61,75,3,34,30,5,28,10,55,0,53,57,52,31,59,47,13,90,54,94,27,19,83,20,51,33,41,93,42,94,80,90,45,41,49,16,26,54,86,2,11,33,23,62,19,71,32,67,24,15,63,75,67,56,61,72,25,36,84,98,25,38,47,64,90,9,81,5,72,91,6,76,42,4,75,17,44,46,4,38,90,97,87,69,65,51,66,53,47,9,81,64,12,25,82,48,61,84,30,69,81,91,61,77,26,61,20,81,72,88,73,80,1,50,57,0,82,22,27,12,5,70,1,46,38,19,25,77,39,34,16,77,58,36,77,73,78,19,57,36,7,43,30,9,61,31,29,58,77,48,16,53,12,23,27,8,72,95,95,64,24,77,4,93,23,28,39,32,14,3,19,93,6,49,31,7,15,44,54,0,46,97,57,85,97,31,68,1,8,0,28,50,26,48,52,75,17,1,55,58,15,84,74,91,85,99,32,0,13,41,23,35,33,14,16,43,55,95,8,87,34,11,60,70,85,39,70,69,35,68,70,71,83,4,92,43,24,7,22,46,43,21,92,3,75,95,37,32,56,54,46,64,34,87,29,5,95,14,9,93,90,94,25,67,45,42,24,66,61,57,60,7,83,13,74,2,51,54,76,26,25,29,49,21,10,98,55,42,12,7,85,74,96,21,51,24,56,40,99,72,34,64,64,15,15,21,34,26,51,9,34,42,7,81,6,48,88,38,3,76,41,40,77,68,49,98,62,35,85,64,55,77,62,25,85,18,56,30,86,62,74,9,30,67,43,19,50,53,63,99}

{35,29,45,44,83,2,96,12,60,8,84,71,26,5,76,91,33,78,31,9,7,0,15,8,93,24,33,40,58,43,75,40,32,39,60,19,71,32,17,17,16,81,51,24,38,72,29,47,22,79,49,10,93,37,45,62,97,94,13,47,91,14,63,97,47,20,72,65,91,56,36,80,60,98,41,86,38,91,20,48,50,2,36,11,92,25,60,92,53,13,1,34,83,82,25,62,52,55,31,76,28,77,96,10,64,69,9,75,18,79,46,88,70,86,54,68,29,69,93,68,37,70,59,11,35,24,63,32,75,97,30,12,45,42,31,61,98,47,68,35,49,51,46,29,75,22,77,9,7,20,83,83,68,3,9,10,63,87,93,42,86,59,31,63,12,93,10,64,96,9,60,70,42,73,38,96,23,20,49,32,51,1,18,67,96,58,38,46,98,24,78,9,59,77,92,6,63,64,99,38,17,61,19,39,70,35,24,61,57,43,91,24,3,44,34,0,37,65,38,60,71,29,61,77,59,1,70,26,83,76,14,47,56,57,37,13,20,48,24,4,55,55,78,70,1,20,95,79,67,72,71,46,66,82,60,27,93,19,84,70,34,78,15,1,99,58,75,55,60,38,66,21,72,82,2,13,24,45,85,43,11,10,46,62,25,34,50,59,90,56,86,62,49,98,15,42,57,92,0,95,6,10,16,8,18,50,7,3,40,65,31,54,86,84,78,68,23,26,77,48,65,59,76,16,95,0,77,6,53,28,92,65,34,33,97,32,51,23,61,64,82,40,83,42,22,92,92,56,52,41,44,27,49,97,2,13,41,10,25,26,47,16,35,6,98,49,56,99,37,0,17,98,4,81,33,66,77,71,70,28,41,42,3,66,67,91,19,79,92,48,24,85,68,71,79,91,0,60,51,30,70,26,98,17,87,25,31,3,27,11,98,27,29,26,86,1,67,59,85,25,44,62,48,14,90,81,7,34,94,46,56,81,36,95,27,45,3,51,54,27,26,0,37,37,72,50,15,57,55,3,45,48,15,5,3,50,62,31,64,89,70,91,19,29,49,90,51,24,38,67,73,4,13,76,48,16,81,34,10,64,8,57,54,61,46,36,62,48,0,58,0,4,76,14,26,4,48,2,44,94}

{70985,1,89145208,930233132,153433,3389,39872,71211481,830129632,2179,72437,445882130,24048787,102665,24048786,1074754,581572,336398773,501538774,20335614,293220,986,70861,1999,79501359,808457822,317458593,721761,6977942,6086933,71693363,722619,314169148,317452578,2201138,5199310,371242060,403456994,8361942,85945419,301571221,73935362,65459,23833230,520857848,405628724,34427984,64872,89349528,405681744,850435303,64,79538964,7938940,199948,35574,149333,31201001,47078138,62286,336301963,87730,23308152,520703868,7142565,11119612,475816,1034531,1136321873,298207,338797048,1136418594,2203106,973268,548467203,54670,520325921,59188,408876802,65650,37649,73935150,59037263,541452,61322,7185599,1584984,4535,338218825,5239701,71631958,858,1426,326975,71109,7137234,32505388,1370771,760632985,66160849,583573,7125699,23820088,7123321,819589968,1018073,89249302,71108283,565759529,2999,336305043,2585,23874908,261,3157696,44031304,58499,1225184,79356887,128202881,10527186,2203108,11398,1136266897,201973,23874796,34260340,403512873,1064718966,565903581,405117631,74373676,338600576,171978329,832207419,58981296,354259778,34761901,112869593,6583,464178,6086662,93172,7301,1064718966,5621,364322222,261408086,354478,364309396,59040070,71699159,43955708,76445,316340879,118879,16375,921560,78824012,172063975,338800174,9778579,832332698,831765490,69004331,79505954,3223358,65628151,4535,89343960,209941920,85770,172063508,6932665,520857663,54787,864126382,74076832,172419793,403513104,1136418488,34494911,565560161,548132397,477142,27697829,488352463,152979,5113893,23874906,336246988,89343959,317454021,7137235,79265,371483679,402946271,30808582,335499941,520788166,472548,129391726,478214,5264,59040654,59329,23896034,59037263,9702293,973267,119487,496982974,139446,819589968,34427943,89344114,74687802,173758,520801737,2299939,371483681,8455775,114359296,7223934,71695060,26906,850790997,32597304,38233,512401250,34442561,208461,917573,8796616,1034531,3216711,91405407,338800412,23809557,89306347,73317032,31819153,267390359,22658,523677,7208216,791728777,75422,405291879,1034057,297582495,190587,143744907,7777755,34706657,154440225,74076831,73849385,128422,805,276393,800019907,135520,67786,369147856,7129636,71108282,619068,209941919,451849440,86164009,3591701,11657,685221,520857881,3302689,23896034,7385070,20501647,6086055,34675769,7188986,7035995,61575,7172772,276393,336398795,89812,24652584,4098,387647,6144996,405152909,84230447,58970937,825736389,9775399,7123256,7195302,754398991,34793621,338805794,35935543,317456696,777903968,2005,331766,754323308,753677253,31482909,808457820,7245514,37496,79370341,481813253,44442820,317452578,371007951,7201731,75683,213309,79446177,8422673,34295618,80351683,387797,7125699,850757031,338741081,581727,87260,145051,9775357,20507658,1,428819590,44031199,317390920,59038643,31201154,9862,721763,32504836,172064062,5592,71693429,101191,68501,624661,553310973,850858725,212072737,812292534,241469,20507767,356156433,951068161,6314,3239576,580060211,317393026,34824315,3226,18526,29713421,5731116,623832,395025654,754619,918319,93866,5073394,2240750,73935156,20507659,86035748,7195418,370539554,3267,44442819,548525389,199453550,75125,86002463,398952,5990046,23959146,384784,966,93728,17788026,23921543,44024922,371441931,71696617,754302182,752774,405714608,919,405625515,93757,1304398,5113329,823745,917578,102663,80351682,91063,301489014,79482282,39540665,212145054,23518,32112430,199901,172131889,23481919,86036062,78044447,9751950,852994106,445547,558,3201491,778397373,73935151,387690,58527,8456598,32597305,21945,73936016,528569,750807316,212138587,4914764,548985,172064306,68949150,212532387,12163902,812824380,697832,4334547,55924,23874904,68856,9052831,359991441,131759,199338,31201067,31268758,56176,7895,3591697,59006,799827308,31200821,89311106,829,172160929,473131,73936015,498002,34427095,599,496982976,520782173,8063644,548249808,759402,10403211,52317263,531933,29713423,73876967,4016,20501342,1,622684,2588246,117411,59018008,20433400,565755554,57477,405684844,273,7071569,812824382,89306346,397228238,377550,26418536,123410,39,338800436,850225771,359373329}

Returns: { }
{63240196,259347641,886,8156363,6513,89371,1,9,2877997,14451,897538,1,4375,1,327,32,52466,9968751,1,1,70271622,7235,475,7717,426171137,88368351,1,5682891,1,1,285702,6778940,49148,84838,51152,55424730,9755514,17162264,895,4086,884333,1,7714363,9958,803,20272,61604,56810,413114816,4590,1,86764473,16,1,2829132,79,1,863133,1,611738101,437576,306488,41768188,1,45287,1,633,1,8356691,1,1,6881513,6877,28,11261968,180303,66,52775108,5858060,1,785855604,8634342,9487,1,1,3562,94,1388,13766839,42855,47778,7,1,2729,7,614,1998810,1,1,46}

{63240400,259347655,903,8156447,6626,89913,8,14,2878027,14453,897737,17,4714,2,570,39,52907,9968752,9,130,70271636,7275,784,7737,426171152,88368365,1,5683088,37,73,285835,6779167,49412,84869,51277,55424835,9755904,17162322,1202,4090,884345,11,7714427,10017,883,20272,61642,57079,413114862,4888,4,86764474,181,2,2829137,86,2,863504,5,611738114,437685,306518,41768216,178,45341,60,730,12,8356708,75,10,6881749,6891,37,11261971,180510,70,52775147,5858475,5,785855658,8634467,9493,50,279,3564,292,1420,13766844,42885,47948,15,1,2800,89,648,1998994,1,1,51}

{5,87,7598,1,595756,522662,1,533,1,2,702352,65959,68608771,682395,59266,60958003,98298,3197045,1,4335101,1,8,31472,1,672066,1,119290,790708765,230693365,5649832,762,378,76662,79423,2,47089,5535377,2299,1601,82825,1,345985308,1,1,652027,677252792,1,78428559,1,94312,596,1,1,5740948,1,16846937,14039616,3331,70614727,7058677,210779894,1565305,108141,9883,817794364,572102613,748453181,302211,755,6,1398,52798,568406965,13635927,3489511,853,95,1,1,86671,286641373,36455818,53975477,1,1,1,85321,359869,25674169,780466313,3929,6361,63093,1,63,37783,641635,73492,5973897,501039761}

{6,139,7599,22,596040,522710,148,741,4,19,702358,66106,68608775,682397,59290,60958124,99006,3197090,226,4335117,225,226,31602,24,672208,32,119319,790709097,230693370,5649839,1019,482,76732,79605,57,47172,5535422,2301,1601,82835,89,345985310,33,98,652043,677253270,45,78428562,302,94560,634,45,1,5740951,8,16846946,14039714,3609,70614892,7058682,210779981,1565305,108248,9968,817794384,572102861,748453183,302252,863,12,1648,53051,568407111,13635936,3489670,859,98,2,10,86705,286641377,36455824,53975499,389,228,82,85387,360022,25674172,780466378,4182,6365,63096,1,472,37788,641823,73724,5973988,501040081}

"BWWBBWWWWBBBBWWWBWWBBBWBWBWBWWBBWBBBWBBWBBBBBWWBBBBWBWWWWWBWBBBBBBBWWWBBWWBBBWBWBWBBWBBWBBWWWWWBBBBB"

{74,35,14,4,83,38,82,30,57,17,30,6,57,53,36,42,13,92,70,77,13,79,99,34,22,36,61,26,25,92,38,97,70,77,24,83,95,0,94,3,52,62,56,76,0,70,73,23,4,24,54,14,27,96,73,36,13,81,34,65,92,34,10,69,41,48,26,89,36,14,94,29,93,50,81,62,54,48,98,75,48,33,27,87,66,42,60,13,2,55,20,33,89,88,64,55,2,1,72,34,19,68,83,51,56,6,71,85,55,2,9,89,1,10,91,78,97,63,19,84,82,75,74,83,94,64,79,48,74,86,56,13,66,68,76,2,83,79,38,70,9,56,8,62,24,19,83,90,98,98,22,10,85,98,68,38,59,43,29,93,14,94,31,8,61,81,53,61,61,69,44,49,14,26,61,73,42,5,71,68,43,47,10,56,19,71,68,14,54,82,99,49,54,20,83,46,7,33,24,51,95,94,98,91,65,17,44,23,85,24,48,45,28,33,48,34,2,65,8,3,88,33,15,39,42,87,1,96,48,32,92,53,39,25,50,48,92,73,93,46,73,68,51,10,69,2,38,46,64,80,2,40,14,38,58,90,27,14,89,24,6,61,80,2,23,26,9,83,18,26,89,61,4,88,21,27,59,17,34,78,43,63,80,38,73,31,2,94,36,74,95,75,87,89,57,35,79,70,95,1,77,83,81,38,25,47,68,17,72,91,68,49,31,30,60,43,31,8,84,34,49,49,63,82,77,55,17,80,76,75,92,67,59,29,24,66,37,93,9,39,88,79,87,36,69,95,38,49,14,32,42,37,4,8,96,74,23,48,84,85,3,72,81,71,82,50,77,17,62,98,85,21,7,7,2,89,60,42,37,16,57,27,39,69,31,29,74,24,3,32,41,68,30,79,57,10,19,23,41,98,47,5,69,11,16,62,98,84,4,52,16,36,36,67,4,94,81,16,50,80,44,71,82,65,80,77,72,55,28,54,89,99,69,53,92,21,28,25,28,40,73,6,97,64,87,66,81,1,75,90,60,8,30,13,7,11,20,68,0,86,96,17,92,87,8,11,67,55,97,10,64,25,24,68,81,80,60,96,25,53,27,99,58,65,42,21,75,50,45,18,36,62,11,45,53,43,93,34,67,61}

{21,39,19,59,50,38,40,31,62,46,48,44,15,66,91,4,45,28,34,56,36,26,66,39,23,13,61,30,66,18,33,5,52,44,60,74,14,75,22,1,32,5,46,59,23,44,74,42,20,79,69,52,47,86,30,82,44,68,94,23,65,82,58,68,80,92,73,48,55,40,23,73,53,55,26,52,41,3,83,33,28,64,18,0,29,37,28,37,74,36,41,91,82,10,35,60,24,85,36,64,82,49,3,23,49,53,51,0,29,2,70,5,9,55,63,51,48,31,4,29,89,18,77,79,91,6,70,15,11,78,94,99,26,48,5,65,11,45,93,18,42,69,30,4,56,3,23,93,62,69,1,98,89,41,7,65,39,66,36,41,60,14,88,42,59,38,17,5,84,25,32,98,94,66,84,21,77,39,57,5,53,23,94,14,55,29,54,4,13,95,69,49,56,68,1,29,39,30,91,28,20,97,80,94,23,50,98,96,60,76,31,66,2,83,73,12,45,13,56,40,98,48,87,88,96,55,75,74,11,35,71,69,59,7,74,78,58,81,69,46,14,98,60,55,75,70,75,31,51,44,62,67,89,24,77,28,69,90,85,15,57,52,93,28,84,63,43,34,42,18,46,17,49,95,64,30,90,48,80,48,42,77,86,7,4,1,31,59,66,10,82,12,64,80,45,38,87,99,47,25,73,34,90,6,16,68,90,57,15,51,22,28,43,24,86,16,78,80,98,39,97,5,24,71,19,66,0,82,34,92,47,23,7,5,6,62,31,16,64,20,77,37,12,89,20,48,98,3,43,33,19,38,92,93,89,74,22,65,48,48,41,11,25,26,2,1,69,16,15,64,57,36,63,2,20,13,62,14,52,39,77,64,60,37,42,38,43,84,16,73,25,31,81,64,13,36,10,16,58,23,68,37,52,33,69,12,18,53,81,21,42,85,18,91,29,78,25,7,89,37,54,67,15,40,70,48,4,89,68,30,85,95,18,23,57,59,56,80,24,36,3,97,90,22,85,31,72,27,35,94,97,89,23,6,45,92,85,84,45,58,37,54,40,62,77,60,59,61,0,15,65,1,76,9,91,97,11,67,72,33,68,14,9,88,93,63,40,22,85,33,94,70,55,61,3,10,2,70,53,27}

{14744542,55456363,4276118,618194260,524,82,54850232,6493657,41009960,13104020,412830029,652714,61817899,742712846,15284577,8303800,676590539,230630244,52890,66814693,14608486,32575,247414054,129891,38523,14608607,159,404338,836820707,63045,161959,538842,1568,53426354,635841310,14751588,21637,63060736,31949,251191419,126107,42093018,14101380,618796756,63232662,651319,21408278,7706847,70860899,426756496,2829275,59649,717906672,2555105,13920690,58185988,31295,36732663,51303,572110474,572039918,54017382,70809997,8357590,845199464,413177940,13516681,1193538337,21067110,943148,7808,7985985,5743838,16846305,44970992,41876360,348814493,404958444,5974095,174252,643808263,817754247,796392107,63599072,742804067,9450032,20351053,17842469,14743257,21067049,416257000,158237,726524279,37841253,873126652,194370397,426834847,259344098,572620325,817800456,49649994,8445735,8156234,86756754,13949916,5740801,79936056,63236883,11196958,48,16003,779990556,259333156,17042043,3548,80906459,413188476,6788330,3745623,5649870,726524157,181240,45002890,86698,6482,817839500,85159,474073049,14685522,5943236,14039688,500357457,748334597,404758854,612330,572096314,65897,677186519,3544,1614,7699847,14039823,2592920,42249557,439538641,12491618,7637,49016,47634131,5973856,259378389,6169314,780505544,340011222,8356891,572102239,618709976,748462311,9869896,345988010,211157883,59412,32661651,4836459,616924862,45087769,12512514,1259504,1871731,88368272,623950,5884141,59547,748334718,1871835,13643004,45060718,525560,6068140,8788701,5750704,78477926,1599836,13980659,12512051,12478200,5528278,543146,3511538,53946631,501039999,45,16868796,61915782,259347813,5711298,86371,279762,426836867,317457764,70308904,73690,1066522855,6347,572110525,13165259,5322856,2632932,211213786,426843097,406336354,71220078,230686540,164470,426750824,68655338,677264562,571420375,16917558,7272219,33467015,413109522,60599393,39354205,6356930,16488351,259167936,12110904,413180850,55404970,6891476,5740780,618710011,88368758,14751016,407256619,70551838,31454269,2827,142,13576944,14330070,297106708,17042200,181179,6965,180307,6717592,904513640,1071844250,41867750,1186627,780449545,426840788,123389916,230737304,796392159,102870,780505559,486456969,866403,1871654,1072494216,230686681,7778,109391,4445,51190,7714345,119202,780485183,11293827,503708,39402670,817832546,796105692,618745041,406343104,1072445776,407256598,7704587,52785032,1072411712,1805,13046455,252569095,6785312,618796504,752672415,13151716,53946698,68783513,817478424,1279637680,678092210,55469415,274796,501038374,78447134,170979426,66411022,51297,45038289,2506,88414132,86727322,8311866,12299455,507455734,86770631,8386547,230603498,6769272,426557040,211132125,141305,921222,1069619067,5974080,129891,25177,513690,426833440,60794363,57110175,731606913,56468660,1018512021,51142,242625,78422499,309909,618796349,5216865,426843381,790112443,10385317,148527,817825295,70350304,64682515,17246800,68252221,784643616,70271782,413151940,5973389,8246002,68696,38415,12049441,17162221,539708,2875228,781780945,134,38499,985217668,413114732,413111311,354141526,568347776,116189762,6947862,53976584,259348195,52775185,13014248,102618219,811865678,862915,15283846,9206,8084,70278276,779826788,252002224,7773342,17164681,64634,51915339,32723215,211130450,17164549,935961,5649036,14741567,426843348,8202040,13608476,434353755,1578106,44803913,817752860,1542055,13690940,4530349,143742,275370344,5981822,86727399,17593004,171,98389,151477,110264107,5973853,5741034,44487747,7120,7760182,15287361,15290832,295926,5060199,5858248,116189840,151003,780508675,1055332267,3480504,7130783,6991984,572987087,1072495521,360339728,567811189,763662131,239049180,2544219,780505519,501002667,145,5748650,922748,618789702,216653513,984128466,656192331,14406429,21792108,73598,117740,817807439,362138,755230939,540578577,1044373663,55290759,51675,211143888,783301446,278745,682380,677272426,2887,70267951,8357459,740472818,70529611,15802555,10336817,947321,42018477,49897173,211151573,618494516,15588180,63314093,61153258,245736720,170979403,426843270,8342928,45083752,1072423170,211151566,2338244,656768403,5746345,793382015,500980937,70629342,560195576,7711638,17145,704736,31614,677269511,164317,15290629,41874725,16780998,675973707,13897310,1589840,9651,52906,5438822,794520425}

Returns: { }
{9034,3953,824,282,54487132,14,389243,97,2,744848,593843,52,3615,4936740,6,140319753,1,701,16986607,2,5642,43,86833059,573,53202602,7,99062,135553,6739218,291875817,609,1,661240,94722379,599557,104250614,24,1,9434304,5317780,126844951,742,7173339,5498389,743,970,329,39628121,6,1,67378,1,63174,2,3,72,1705,596,31,112505,113090,4290,88390,71146,70737587,98048,22275,887818149,274718,49,6928715,636640009,786789,1,97019,51134641,171,337537,1,1001840,248163,721959386,1934431,207146335,382983308,7,1604307,8897226,354040,5212,28177,8921,1,286601,49545080,510122545,1,1902633,1,5098}

{9059,4027,825,288,54487406,21,389263,105,12,744860,593958,217,3618,4937098,142,140319764,3,785,16986646,6,5668,50,86833075,590,53202609,50,99301,135585,6739603,291875818,612,28,661249,94722401,599575,104250617,58,114,9434453,5317787,126845209,977,7173344,5498484,758,973,393,39628374,11,41,67387,13,63183,228,7,148,1718,602,45,112521,113144,4291,88545,71206,70737596,98664,22347,887818179,274864,57,6928723,636640012,786821,12,97180,51134650,196,337540,42,1001865,248192,721959784,1934457,207146800,382983319,37,1604326,8897303,354383,5318,28228,8921,12,286602,49545110,510122556,3,1902636,206,5108}

{1,6508,1,1,277,141708263,1892134,689944702,7893961,3295,62,63423888,860,4246,1,54205,1,1,1,3514,990470461,965,600459,9538156,718,7585908,515011399,538,1,1,6,7,1763354,9202,1,571,49713,98196,450,1,56793724,55231,1,40377,67657,54427156,1,63,85,1,80000,226966059,866,60210707,726415304,182139680,683741123,290076919,386,5313,35563,61576,1,45392,7076,1,1,16,7787257,887975177,6244,8,2417,1,2,49599132,438535806,5,972,59,19270,7,89538605,324133969,13954,1,6769,3,50725,1,41123,366357,1,607,3383,243,79440,1,71648361,4818}

{89,6535,3,99,279,141708283,1892391,689944706,7894325,3305,90,63424060,870,4278,227,54230,242,24,58,3711,990470480,976,600584,9538267,734,7585910,515011455,638,13,58,7,7,1763356,9472,1,637,49717,98352,482,5,56793773,55332,9,40406,67691,54427173,4,71,108,110,80265,226966332,897,60210880,726415333,182139692,683741143,290077007,557,5326,35566,61594,26,45465,7198,2,26,19,7787281,887975207,6280,14,2604,14,22,49599149,438535930,93,981,60,19749,13,89538852,324133971,14107,4,6770,40,50924,1,41163,366398,4,632,3428,255,79485,16,71648379,4833}

"WWBWWWWWWWWBBBBWWWWWBWBBWBWWWBBBWBWBWWBWWBWWBWBWWWBWWWWWBWWBWWWBWBWBBBBBBWBWBBBWBBWBWWBWBWBBBBBWBWWB"

{97,53,59,65,50,42,84,22,60,72,99,89,5,86,86,6,20,37,77,73,71,75,28,42,96,39,80,51,43,5,80,36,71,28,20,98,23,21,33,76,43,60,11,68,66,94,50,36,32,3,67,84,29,37,21,87,31,93,18,13,80,72,42,35,83,52,74,63,21,99,72,42,47,45,95,77,19,42,36,85,51,79,33,74,62,46,22,78,31,21,9,87,76,85,12,56,69,35,82,22,73,96,97,65,81,28,92,46,7,6,6,24,26,37,97,4,41,67,21,2,10,75,55,32,45,21,30,11,36,20,43,55,20,30,81,77,12,76,33,88,8,40,35,87,81,53,28,80,77,71,28,70,72,28,66,45,1,15,19,20,80,20,8,44,53,38,83,88,41,2,14,89,95,46,3,37,8,5,47,59,78,83,36,48,89,19,72,26,26,82,21,27,50,0,44,6,99,34,51,39,71,97,52,33,7,28,92,85,71,8,62,25,70,22,66,20,44,56,10,37,98,62,11,61,52,80,24,61,53,99,99,65,2,1,37,81,96,13,32,2,13,85,73,73,31,13,26,60,4,55,50,56,75,24,1,80,6,15,18,15,83,61,19,14,82,87,55,4,17,92,13,11,71,29,1,21,29,90,33,17,82,56,2,54,2,21,3,22,28,43,52,21,40,73,40,81,69,27,62,82,81,91,5,55,43,26,81,23,83,0,19,30,86,87,55,22,83,34,95,83,2,39,68,16,86,38,69,31,18,55,15,69,56,77,57,4,11,59,30,24,29,87,6,3,93,72,83,43,3,54,37,16,40,46,11,57,43,97,86,51,52,14,0,19,23,32,5,37,98,40,37,87,46,76,77,1,76,34,65,50,14,98,98,30,63,79,9,96,49,85,84,87,5,26,5,97,71,85,14,49,49,38,48,39,33,76,79,79,85,31,98,81,79,11,69,10,64,90,10,63,16,59,45,70,49,9,48,47,79,53,70,33,1,24,54,31,81,36,97,72,70,19,5,84,84,46,94,54,42,33,36,92,95,32,5,99,65,20,95,83,98,46,64,67,58,45,68,51,51,62,14,87,27,72,64,23,72,56,56,69,63,72,27,57,96,26,17,88,3,46,50,9,69,14,52,2,58,14,48,56}

{69,24,11,51,10,99,39,53,66,15,93,45,21,73,16,32,14,87,43,68,59,0,80,17,77,97,98,62,6,18,20,93,70,38,68,34,19,12,96,15,37,91,71,75,91,27,62,46,31,68,40,60,5,57,34,9,49,72,61,37,1,97,4,93,60,82,71,9,45,62,3,27,39,62,76,2,92,7,2,59,88,2,64,34,43,42,55,5,23,17,3,39,92,33,18,62,79,82,96,25,20,21,50,49,37,85,50,17,84,43,32,78,29,60,0,41,1,67,16,91,56,75,59,34,45,49,73,70,41,4,24,61,19,15,92,64,23,88,68,70,80,66,45,41,37,86,68,56,54,59,52,83,84,3,53,65,44,59,94,75,90,18,10,18,60,33,1,91,79,11,29,8,73,90,95,97,39,65,70,74,48,94,19,79,89,74,52,11,17,61,8,11,26,65,35,4,26,27,22,8,4,21,85,28,5,12,1,96,15,12,52,70,8,70,82,7,79,81,29,98,59,57,32,39,42,38,93,90,20,52,93,18,35,27,92,46,64,53,21,51,0,88,77,89,37,72,39,5,88,39,43,76,96,46,36,67,32,18,71,22,1,41,1,47,72,76,6,79,42,12,71,22,80,31,41,24,12,73,16,75,60,14,55,58,22,70,76,63,51,22,36,9,62,48,81,0,84,25,82,11,80,77,58,97,72,88,82,84,23,22,4,58,90,70,73,80,12,92,28,64,47,64,4,61,25,24,82,77,55,7,11,2,80,76,30,0,56,52,29,36,85,61,48,73,60,51,76,58,9,54,90,68,86,10,70,11,98,30,33,9,91,59,93,28,30,34,37,6,36,66,30,56,94,37,54,67,4,63,3,90,34,79,3,2,91,29,52,50,55,72,50,70,71,57,55,5,92,77,19,61,20,12,23,73,50,45,3,31,39,54,5,89,31,4,99,57,52,98,19,23,42,7,65,75,4,95,18,40,44,21,96,66,63,23,64,67,35,87,70,4,76,25,68,99,33,65,39,87,70,4,12,45,73,98,27,72,13,72,88,26,86,40,79,8,88,39,66,0,10,1,78,78,59,15,13,33,67,12,80,53,22,85,29,5,61,88,86,58,37,52,34,20,34,34,59,9,92,48,5,0}

{889877789,113412744,63531151,227064417,606775,7173055,377679475,146443360,126395,139584663,285680,54431413,141707332,1611093,1611091,400772,990476104,8995626,5201281,8062009,636532802,100724739,6510834,7172594,416999,3415151,71877133,227054480,6960955,158694892,990693571,335625,629717528,2695280,982952259,72247939,9535288,3673,94792660,578801149,5556408,435025,700063955,92671787,379754,49412290,101291,50029,2424574,8061655,817766921,382891794,433584022,289979258,600481,8155732,24,502094,17043932,5030825,257018,1118376,47314088,103964072,531131647,91409198,636542832,715783,54427122,88120,788972,7038392,34310618,54514602,948657908,336720,3547,697117946,50481,117820,227269222,1001093,23986814,502396,5450408,7172968,268372065,141707297,9538806,1662,747807,3579513,438535989,94731591,16983887,683827812,888976951,191854372,91393771,93818391,990476140,78548,1915519,98343,722057715,6739593,147631,370,1072913957,6960955,400774,53202851,806787881,175896,1893575,54541153,51777,0,1013,374478,684333295,2,182246772,1825036,0,1008,618,70346430,6465,1044951681,47743798,182082292,990472592,140373372,721959385,70407242,9540444,438838762,102225744,6619326,8123075,183616477,158676231,8951574,722057715,61808427,14252144,683968165,726752863,636532803,6677289,524345375,382207931,6739378,60233162,54524545,64445,140256161,49545235,992000312,241698,1007451452,8488206,17053592,60288432,85296720,531269786,660612,1056080,63424776,291875819,7899533,510122808,69007,510122451,2000969,13212097,141806597,32705785,20640,899,481731828,46223,1001880,0,100707,725283,451686634,515109949,91407374,7893394,63558903,514963051,89292,104316988,55989751,515100772,464619,313198561,13212098,582153127,1903547,64034,87992001,548236524,6736838,10542,79474,496374467,7897067,26104,14508376,14816788,80498692,91450945,300531338,1068744,1405698785,291281884,71550046,71755570,290164809,62321851,5375071,7111033,9205174,52916108,44351,930265254,62017,285680,16888294,104250364,137452,98346,721959023,70809859,65143362,2423589,226966891,4931932,404920,337544,5219,98355,4151659,520229886,141785810,54183723,187457359,5470960,245206842,100654330,53202969,47153,887589398,400772,123387344,619653376,54033046,531269787,9633,7003,39628362,90683910,447432905,180636696,53485516,7172597,4468,631707509,149656444,636411240,291875829,51777,53202789,291873021,69380,94731600,100733052,91324552,683742803,182140397,726414878,87432832,6933947,438535829,87317089,233705664,81894827,111960,747144,183550348,90,651908141,721950341,1270944508,7720848,91384818,28049180,721730621,694995,141707796,184042208,4749503,515215253,809563713,392507041,521741499,87424600,54490411,1056,1610490,1974818,182139781,87166088,531275858,599558,503383205,460535551,39627579,65427006,61999421,65866,9183459,43768456,800370822,337518,199126220,507805030,203689490,887975980,683968167,438873144,290077008,54478374,620318780,53785,291875241,53251532,291875847,8954580,2281311,352,208405,227750325,321548011,5538295,747808,0,85399,8062009,182027676,593647,70346429,226653538,77106448,1902027,93120508,227707629,419768,117793,278173,6743135,9538291,1825037,141609942,2183066,71598720,183616478,98939,692636699,49548138,438437663,726752861,887820664,493022485,573791,98131,78257,599528,72650172,71648590,216,383236,290873977,684120,68175,182139778,789318,382982237,1974818,778348248,225033095,40431506,143610879,636640010,337539,3573,65862,990476135,9431176,9538743,5317784,94726078,384109417,1001582,1001886,5317776,726415345,70059897,721954174,1001884,117910826,887975444,290670293,70680745,71635441,597432,9563460,7173339,690051802,54524543,93798837,54487423,509380740,16986724,144010370,1068744,60209958,7001941,94709308,106017,62739559,797145724,887818160,617709341,8946948,5032330,53702616,445458087,7582368,134195697,382987338,288265660,97977,44230725,735312618,250864,40244171,52414,54428127,510122804,70546269,141843190,783966,4842639,991249066,509819148,397924505,73245927,183638399,69742873,895712473,404393,59743980,8039717,226975126,227559961,90914,1016,8898273,27751,139584664,65803799,104250879,887033904,683742162,683968165,827764365,87317090,789317,291740831,148369320,22178,515215257,1610351,404396,98550,63671,612453,991206366,888574722,599528,53788,747338,526,118,141708185,683748460}

Returns: { }
{1,60685,1,9888,328037,181826393,575,38797,365395102,407879196,9246,436,2470,7650161,48894692,840,677,75854638,943,1,39,1,742,273,63099512,560,57061,146,132573,2379,4554,720,3443272,783854,51823,365814,97,1,25564,23945,32543,448278,690,273805,6129672,1,1,55059,301358,503704,973680,36502552,270,14,770,836230656,3269945,242269661,764,521,924,631821,517867420,2737,1,1,835,41913,984,599334,479069,57,637965,97,181093,7882,55444,452,7019146,1,65280047,820,6,76,191,1,288,89977444,96,1,81577,1,5673,92539042,347970457,6376776,1,39375,75893,103451158}

{7,60685,2,9889,328045,181826557,628,39237,365395146,407879230,9340,484,2658,7650261,48895027,890,889,75854720,997,53,43,184,748,310,63099574,889,57176,149,132577,2390,4629,725,3443293,783966,51885,366078,109,8,25594,23995,32546,448289,749,273971,6129692,62,2,55160,301376,503706,973700,36502553,271,93,784,836230827,3269947,242269674,764,533,957,631833,517867422,2747,7,1,851,42146,994,599724,479337,126,637973,124,181292,8158,55647,509,7019161,98,65280052,820,7,98,217,149,289,89977637,97,9,81762,1,5991,92539098,347970473,6376846,30,39385,76143,103451261}

{1,49,724,336,1319,12,32507,1,71,59260,1,21469402,77897433,1,1,42865,8263182,41624234,670784,852,67976912,1,509718106,1,35823673,90435,1,111,1,8014,1,23360,189,1,97772,11973820,287511,408,257,535647176,829,1,37171539,577,4912,1,7042435,33410,1,89624967,71906,14,1,61,5,93724,553,65,1,8189707,505701,54520,1,679210950,683,1929352,5434346,1,68560244,1,1658,4695,20060,7277350,1,7600,524,777,96996232,94,85965063,284740709,840161,49,763,23809,1,18606679,6,247349,53841559,90110895,1785827,4035,96998,1,1,3675062,97085673,1}

{281,70,961,339,1371,19,32563,1,128,59523,28,21469406,77897599,7,2,42877,8263562,41624355,670789,863,67976924,33,509718177,21,35823716,90436,1,140,13,8033,203,23656,216,301,97907,11973848,287512,413,327,535647235,830,14,37171571,588,4997,2,7042450,33565,173,89625164,71906,34,10,391,24,93946,581,65,2,8189731,505705,54588,27,679211079,712,1929373,5434351,2,68560285,1,2025,4724,20328,7277611,386,8139,606,791,96996269,95,85965080,284740746,840184,51,767,23836,6,18606680,24,247350,53841584,90110907,1785864,4293,97263,264,4,3675065,97085676,116}

"BBWWWWWBWBWWWBBBBWWBBWWWWWBBBBBBBBBWWBWBBWWWBWWBWBBBBWWWWBBBBBBWBBWBBBBBBBWBWBWWBWBWBBWBBWWWWWWBBBWB"

{3,52,24,50,10,45,7,0,49,21,80,73,61,43,87,93,32,71,77,35,82,17,60,14,76,58,68,0,88,68,37,51,32,69,18,79,75,31,26,79,41,12,0,25,48,42,98,78,98,59,92,33,30,29,45,69,56,1,1,30,80,88,94,35,64,6,52,58,43,47,76,51,67,78,4,4,21,91,51,14,72,40,62,71,92,95,9,11,62,81,81,36,97,61,27,72,24,5,58,61,56,91,7,68,29,75,7,30,18,77,88,82,93,50,95,16,14,39,23,95,29,39,66,88,6,70,94,76,40,88,13,28,18,93,92,11,15,87,57,13,7,52,24,15,21,2,15,38,61,64,16,34,25,99,16,19,48,20,91,64,85,28,77,64,60,69,53,12,53,25,40,70,46,32,53,69,84,1,30,58,15,36,96,63,81,83,77,39,41,52,47,32,7,12,25,17,27,68,23,1,73,57,67,39,46,52,15,13,77,46,15,27,54,42,93,58,74,48,21,97,51,94,7,52,98,28,73,7,16,39,43,9,48,2,8,74,81,92,8,77,57,23,76,29,92,47,11,20,96,68,83,36,54,35,80,75,7,2,43,93,25,35,97,8,15,35,69,8,64,1,79,6,93,49,11,35,42,68,51,98,70,13,2,14,96,45,61,52,92,90,24,12,50,69,80,47,84,45,10,95,46,16,32,90,67,50,76,20,7,45,5,15,77,19,87,29,58,54,30,36,84,62,35,99,82,69,89,9,61,14,44,78,95,36,10,3,13,31,83,30,52,82,21,18,43,3,95,31,90,28,45,90,85,58,70,78,9,15,41,25,57,41,45,94,6,6,55,97,89,50,63,24,85,86,27,75,79,4,10,93,97,52,38,15,57,77,91,76,7,66,55,65,69,92,85,65,55,91,46,99,56,29,38,19,2,5,47,84,80,42,65,40,66,60,64,51,56,30,17,75,32,48,66,32,2,5,29,74,84,31,86,99,85,36,11,28,66,62,30,66,45,12,98,66,29,59,6,25,52,25,81,2,36,13,55,5,98,69,17,7,64,19,29,54,2,89,38,5,85,92,75,75,48,6,48,82,62,35,0,48,5,2,97,2,43,75,46,59,38,98,59,23,71,17,47,7,12,49,74,9}

{43,30,35,18,85,81,16,23,95,39,4,77,27,82,63,57,27,15,95,89,33,29,97,23,60,26,2,28,59,23,39,39,91,1,69,99,69,27,29,36,22,21,97,11,24,76,64,64,71,35,47,51,96,36,57,78,91,90,35,79,55,24,56,81,69,47,99,85,71,57,74,48,41,83,88,83,79,21,18,23,18,3,40,0,65,34,49,97,97,81,35,0,12,92,25,70,33,60,38,35,79,7,70,91,89,17,88,88,55,14,63,35,77,59,96,2,98,0,33,62,0,86,49,74,77,16,39,68,60,31,52,12,22,58,9,55,31,12,77,6,56,46,84,9,72,10,3,87,8,66,94,64,61,18,56,66,2,81,55,18,35,41,67,8,60,91,52,38,73,85,83,84,58,9,75,17,51,58,87,18,3,17,42,68,12,30,23,28,43,61,19,69,49,43,61,60,82,39,37,85,26,34,63,46,61,64,1,45,37,14,45,51,0,14,8,18,96,84,67,74,95,67,43,48,79,22,71,99,63,62,66,24,10,72,81,7,68,47,41,38,68,27,39,23,49,70,70,67,84,49,14,23,17,65,86,71,96,71,47,3,99,26,54,76,45,65,60,97,51,45,70,43,75,54,68,60,45,90,28,91,93,8,50,64,38,90,72,34,13,47,8,12,3,31,90,30,48,48,42,13,30,6,74,54,50,16,56,77,76,79,59,99,21,19,90,48,66,82,15,18,65,71,57,14,20,11,36,24,83,99,54,87,20,60,79,49,54,95,86,79,26,44,66,6,11,1,10,73,94,69,56,11,10,22,21,99,35,23,14,80,43,3,95,27,83,46,68,87,31,34,82,3,76,51,6,74,32,5,44,8,45,52,17,67,29,71,28,82,50,79,82,12,22,3,90,3,96,38,79,58,81,87,62,9,84,64,79,96,66,39,70,96,82,5,54,9,21,83,74,57,49,22,38,37,9,32,51,18,31,42,39,27,54,70,8,70,59,97,79,47,29,73,0,53,80,64,61,91,52,26,77,30,86,98,58,43,42,68,4,72,45,13,84,53,2,10,38,27,15,35,21,82,38,40,69,33,73,2,63,55,57,18,63,46,28,79,18,95,6,2,69,55,65,46,25,47,60,15,36,34}

{264172,4292,86583542,1571566,33080,284741547,8301602,285,95498288,535671224,150915738,7276939,686070,1113404,750578990,149734581,3443177,38950,6377159,12092323,1624135,117468556,3207810,48894439,559820,56301,68560502,132569,8190139,68560957,535670816,572125758,93553984,539107,1269515,103451312,599358,23997,62697,287508,510165695,77899936,3714434,21379384,98621865,37225865,97161098,104014683,97157017,4149446,1801822,35718623,4572,281781,242269736,103415673,93380289,53862594,12278930,4632,856822112,98923126,344796970,273131941,600431,55361,103451007,24597,277822,242247967,126061,36201226,406149,104015258,329276,329241,100,90110895,37172311,48894438,1287692,23149,517835679,4789,149169,6422735,496941403,17833242,521503087,3,273131942,287602,74259303,2357490,91036,176899,98139260,182331304,25056,12185275,3270402,90150000,442036,21551630,241708,117463012,39011,4469,836806892,48895029,679213583,11499489,92541836,9090972,6376848,8263109,145904244,535671221,783691,511490601,10388,535670934,84693656,181014,31862,8740039,883496709,68614309,536496,24175,7649994,78027565,509047637,92542330,409600143,857606030,19464,149265771,242269919,7682171,3231403,7042695,98922245,407894754,658029,9997,51536,108558313,364817750,5434488,356135975,148948,666858,104121022,11531896,5434342,302111,216764600,926247997,671066,12315846,315709,42450,365395774,1,90710621,308,77920297,7277369,67490,33240,480154,7043194,404495034,15861,116879229,36503069,59987,108579565,671017,51538,117191343,37172313,610652440,206844915,4502,965,535755812,175050,686079,87629,2843735,90089759,78168215,666854,116972322,840190,467109975,677,84445,7334315,242315498,679250347,528628792,7619745,970,102603,7650262,839,55937149,43739,36502511,789,86065536,272860038,671020,181104,301906,42132,3816791,30125737,348025336,235296,301102,97161713,509850002,7272655,103412191,670949829,1053490637,5706722,380544165,292115,657282,650134971,142004,216180642,1801817,364946941,25619,310828879,262,535678277,10107,88337319,455897,21946469,68019010,978,21567603,48894676,287686,117478155,10410331,151244815,11146,39097,4048,251585,92532870,103540774,12282619,3713643,365340020,43743,10410327,1104499,369030750,36503235,60753,481035,305136,92534661,90128065,47091370,11833057,37172309,14799451,36370008,7050915,92061959,357744960,1044842,48895427,25820,53923345,40593,149378,9430437,53834861,338119266,3,1035363,622565,97321763,83909,301909,301361,37180070,1273419,7046973,8230738,3262360,53922553,1003455,9164280,3214349,67976558,17054,93,190015722,103493212,1258,3,125130602,306996,5434434,840922,46527,384171,1928799,517871996,253877574,54556575,67136760,22068653,40255,380544161,686217,54556574,6133809,161347859,74353717,219019,9335,90118629,7649508,6399687,243,4627,56800,6964939,5435195,638664,21742157,51066,6367601,7254415,401633289,467145,3270501,32453466,33080,509718187,481133,193428308,419427925,43456,48446440,151153788,241996380,438725,6376843,348067186,32983,7010523,904696371,104869695,224499,947666,678373497,98913003,78875,36502293,32836,180738,3443366,181499817,6125358,272860039,3714434,1,117453128,84118,242275245,4282,90243471,895217,1006491,5435100,836977275,75970586,510317152,1789730,53899509,1938904,836324553,90136205,7042348,103450526,288009299,108573740,517842086,407937643,229,181827237,88383,977,145809912,498498911,2406888,33370,4595008,182331304,1459,371435915,3270504,4503,117297849,242269245,92564525,510018787,5458804,3443486,407937748,178383443,36508155,850891,23300,37148036,535670938,103451217,24576,764953,386863991,348558,2755702,521503082,4629,5455132,10396,70622488,97161806,5435118,151234717,8189525,653237,90021351,2,146610,284740291,5292,287695,104659792,836323789,181553305,59989494,69158993,117149575,618929,710,7651105,9420,794,2,256591,0,181826514,19907,10548144,15937,840540,276052,63631,298366,1624141,525144649,12338933,679213678,836023192,60443175,671034,675572523,7041685,141818,15841,6372645,14566039,57221,97161064,8788918,836324262,1924749,110436519,111186,49381,77393312,90085113,468513,407865850}

Returns: { }
{3042589,12671452,9272,59181,883,1,1663200,964,879300043,1,389584,1,1,1,3207348,5400,151423,9819,646324687,126,9072782,1,87446879,22922397,65238882,1,61,7230139,1,3314,781,5138933,1297019,7482,690922209,7252326,14830,713569,565700,4409,616179326,64251,2945619,37176634,37482988,1,9653,1,54679867,8038710,857,6651772,3441579,7,1,703938,1,604,38266,1,6374292,22326966,596,5315368,1,28,6952196,357119,843339,4116955,89941,1,1,1,9626107,845635484,67,4961208,812409758,73416735,358889,1,660163,10,202433206,1,210396706,1,20636214,7,8542431,5540169,1,39224448,65,201375,2,8,77,223749}

{3042649,12671492,9302,59196,991,5,1663565,981,879300179,71,389611,160,2,181,3207353,5418,151445,9827,646324712,144,9072874,106,87446937,22922414,65238919,27,69,7230181,2,3389,785,5138944,1297032,7490,690922223,7252327,14852,713608,565909,4415,616179336,64619,2945622,37176692,37482988,12,9720,1,54679884,8038726,890,6651777,3441580,14,5,703984,283,642,38717,13,6374300,22326977,620,5315428,2,45,6952225,357132,843341,4117404,90214,55,197,75,9626137,845635678,82,4961625,812409775,73416738,359210,1,660552,25,202433473,8,210396727,14,20636214,99,8542433,5540295,2,39224473,87,201490,96,11,89,224092}

{59,833,450092191,916,1,45193035,1,15,890927934,566,39964097,1,44418709,1,279,469954,5680,1,32293,1183771,443,203110074,526,1,6252,74748,3,63356,1,436189754,554879445,77390,4468,549555562,765,1,778674372,95,58,32,19809,4,8704433,251937,1,78,154846,1,1,7079591,864,1343,8379,1,8357924,364033288,65852,1,9863,98236031,31,12526025,1,1,259,1,1,8313,1,569917,1,523367,1,115377,1604,8478,2149,653257966,411828,1,19990,7772,46663,80199,66256007,44,936,1,616148,643,739438,463536319,5639213,46694,1,649,61587,738,82,34520}

{391,837,450092214,950,109,45193097,8,305,890927938,696,39964330,142,44418740,251,288,469956,5686,184,32331,1183811,505,203110077,527,1,6343,74755,217,63361,221,436189754,554879626,77405,4510,549555702,821,20,778674472,96,60,69,19820,367,8704793,251941,37,140,154898,12,41,7079592,925,1388,8383,3,8357938,364033289,65855,35,9872,98236123,34,12526137,150,1,276,40,309,8541,268,570041,5,523371,1,115562,1614,8702,2296,653257985,411832,6,20023,7819,46752,80213,66256211,354,951,1,616158,1222,739445,463536326,5639225,46697,1,865,61920,893,113,34769}

"BWBBWBBBWBBWBBWBBBBWBWWBBWBBWWBBWBWBBBBBWWBWBBWWBBWBBBWWWWWWWBWWWBBWWBBWWWBBBBWWBBWBBBBWWWWWWBWBBBWW"

{30,41,76,2,13,88,75,17,2,96,92,60,83,22,19,95,93,65,9,28,84,20,9,98,95,89,6,23,84,74,7,66,54,9,18,83,45,54,70,23,42,63,97,35,12,34,87,55,10,88,61,9,33,25,76,94,24,40,59,1,55,15,81,71,60,65,67,22,37,84,56,3,3,48,20,54,28,42,56,6,51,82,4,34,70,32,59,70,38,75,81,47,9,42,91,41,79,64,45,54,39,17,21,95,89,24,56,83,40,87,62,80,17,80,14,44,13,17,87,42,30,29,31,71,35,67,11,13,74,85,37,0,72,85,11,65,44,98,40,23,17,2,60,88,76,28,43,94,67,32,86,23,64,5,0,96,57,92,20,86,53,15,42,81,80,0,49,39,70,82,83,18,62,88,59,22,66,15,70,69,42,55,26,24,86,77,27,89,86,48,86,49,12,6,63,29,8,86,49,90,88,34,98,76,5,91,60,6,79,72,4,37,60,36,87,5,87,62,97,63,39,48,58,67,78,64,14,79,90,2,23,77,59,76,5,99,67,75,46,31,56,48,38,59,38,65,6,18,40,44,38,58,2,15,20,49,30,10,6,26,72,95,39,75,5,74,74,13,95,53,56,49,46,74,32,20,32,62,1,20,2,31,32,24,80,37,77,31,85,74,24,18,55,44,25,44,36,56,57,85,79,66,86,9,10,31,35,93,81,42,4,26,43,33,69,7,18,39,24,96,89,65,2,64,62,41,69,53,28,73,56,6,9,86,16,96,16,11,35,6,2,60,67,32,51,81,66,23,80,49,26,50,8,22,7,75,31,74,22,13,76,36,42,80,52,12,76,49,85,40,95,55,89,26,91,90,91,7,3,77,81,49,56,19,25,35,64,52,56,96,17,2,4,2,24,32,0,90,33,40,64,65,61,49,58,53,90,82,45,35,57,2,76,7,13,28,86,14,46,25,78,53,1,29,47,64,50,63,14,70,82,32,80,63,66,62,3,92,0,85,50,51,30,25,38,73,32,94,49,66,86,46,1,59,41,58,2,70,43,1,0,43,38,81,18,57,15,49,61,42,61,18,88,33,2,0,83,50,77,38,97,37,76,11,41,17,43,88,60,34,12,78,61,51,28,40,89,93,30,57}

{30,83,50,12,39,78,79,22,16,70,76,15,10,91,9,43,35,1,2,43,64,37,78,3,97,4,18,85,52,27,38,74,33,97,24,82,14,10,36,59,68,32,53,72,45,95,79,28,67,68,23,53,88,98,37,52,63,47,38,99,33,29,41,30,19,84,89,44,59,29,28,12,65,97,71,38,94,20,86,33,93,45,29,34,96,68,23,80,56,83,9,65,40,19,75,43,15,77,94,26,2,96,31,74,47,53,74,73,53,22,89,31,75,29,64,40,69,63,97,84,55,76,76,88,93,80,15,97,91,76,50,68,56,16,15,20,77,8,55,22,59,62,64,10,18,98,74,17,58,41,86,78,70,5,38,24,71,27,50,26,75,77,35,2,50,98,49,31,19,52,1,65,88,95,20,68,4,99,59,50,21,21,16,60,60,88,23,96,6,18,7,70,8,43,9,82,7,6,75,58,67,31,21,25,7,95,21,82,44,48,3,80,18,68,48,90,34,29,26,76,92,52,29,61,96,29,89,77,56,8,51,6,39,26,22,37,13,15,33,98,23,25,18,32,78,12,32,39,27,36,55,23,39,47,5,86,27,98,36,57,36,35,23,60,74,61,61,87,62,69,3,86,84,67,53,48,21,73,61,62,98,49,46,84,82,72,42,17,30,3,73,74,70,97,81,74,32,51,26,1,79,87,47,46,16,88,15,89,60,60,96,57,81,12,16,36,65,18,74,28,47,56,97,16,24,18,40,57,54,85,22,23,1,36,20,8,64,55,12,32,29,43,27,29,0,91,83,60,0,75,26,58,84,1,26,96,5,60,10,56,1,54,37,83,72,91,17,88,65,49,85,4,72,84,49,47,13,23,44,19,43,27,87,82,75,99,2,68,6,50,88,7,10,94,35,27,96,8,97,39,64,48,73,25,47,90,72,77,85,24,86,39,50,43,68,6,60,42,90,78,54,36,35,47,69,16,12,0,49,87,26,16,12,3,12,6,15,18,31,84,53,9,77,62,43,60,31,72,58,84,88,19,94,23,42,62,75,76,50,94,85,62,97,10,45,67,5,64,45,35,49,20,78,17,81,48,46,65,36,25,64,50,42,38,81,6,68,31,17,9,48,47,15,94,78,69,40,70,53,36}

{0,144502,2106,405682752,4437,791977863,772227418,87437628,450228663,152107,5637112,6838804,40273454,545442560,1183194,37226488,32018817,12672261,450100763,37428608,268689137,8359614,812820888,59934,201677,1709,644693825,22922733,265239439,2457699,565124,2675505,541205121,169,581111876,693681,3207502,31995745,778749730,121158420,10807074,4022903,862,7252325,44418604,690720912,73416737,364737248,39988238,20409021,13121566,697,569568155,74706,715623,3449871,59929724,616199134,98801869,12481407,186218762,435721829,72094,554356830,7557911,268689355,364599,49964431,98949535,572363380,65851,44476982,60057,54680728,9595760,8923778,87,14831599,210461628,551211288,32617981,706704,436192258,1,152108,458178,121158420,288803,631698,845707383,7097,45,616198430,10466510,1303623352,37364286,73881273,658219214,197,8357986,450097023,71737,208171528,9425599,841,65245141,9690366,35181,616199128,87447455,1355,4837331,845634330,436525328,3207369,578716112,4687293,5305600,869,257038985,191549334,436190880,5214075,20728959,32018819,13563,475318,861,467620668,1907,713516,2199627,65853,156753,475318,9073271,685779446,1770227811,979488842,64525056,98245847,450100758,6374527,59594579,646354766,167,27800890,9738,320396,1237194,0,789899196,90457,0,2477000,65294555,523945,12806037,9072432,210397593,845644147,657744104,13011495,450093685,377238,3042797,1,5211891,1273842,2819706,12750828,646356983,21251652,21050238,107308450,86604115,6951334,653769,98326219,4685533,197350805,161627079,157039,58870820,204023329,668316560,15755582,61084,208734459,591677133,210396455,15028101,1725809265,35765408,5316108,436799860,1770226776,208734461,844668077,9233712,20886917,685859857,203110001,72611,45193805,468874374,209484243,1049704,35933786,54679891,59219,374552,639982696,779502870,54679891,52996072,690923035,436192431,907,5317537,5643602,51246673,436214785,34487662,812759675,436192879,3207894,721713231,9216021,1320126514,16272009,656556274,98240404,2195,132639488,524280,365434,846091735,549402912,5216166,22988249,54754598,645791061,99528545,812255628,44418757,370676,646352580,608992698,816142485,364171283,22893979,450097023,475367,54265513,209436659,562045478,40353512,780322731,558,778689226,7051501,22918017,839269825,54817597,25225385,25225385,8,201413,4687291,124118,209436658,268524781,9275700,1301507,45607446,204402498,115897,22180798,9072608,450101298,9901965,1437700,203444249,327824,713700,646569063,5206511,554879879,9567618,65348013,636729306,364647048,37483805,66993,27858438,779952055,6716238,558,12671952,0,6952214,210397658,163912,40196579,16036025,7716862,39270302,6382048,12133439,62792,560,37420828,505144342,4530198,778688025,646356982,646352580,55617429,61917,839,65896,450100599,156842,65244442,646292703,612612054,616,8357936,115034,87512257,21259199,12671598,989055309,8926686,1770166062,156844,364737196,51671041,370677,13908326,31054278,6928094,437478889,3610197,469068713,7032402,16548129,2703267,844668079,1,46391,1501538583,74775763,1138,845689109,50254633,3253388,127020916,65845,12672750,770331291,10936709,419147,3449957,424657779,11935,19060948,379,615200394,201770,364736366,842,268689332,458955276,9281870,469076486,22921675,37424684,657035572,37420827,7824767,65852,1797137,845701919,7063094,450101206,2606620,1729052,61908,21242536,450100263,40352798,450101382,57992824,5992020,3104139,1760946109,549562188,616194691,1,54679847,34737720,15043528,48157,9281863,9281872,657512643,225,57992824,210397035,450097023,2106,37427404,843344,1663198,204023328,8966240,9117255,812746817,820355861,778689219,5419979,436193139,4687300,156842,44418711,2273198,11910672,90200,706765,1146780,44757675,5257159,51370931,1662669,522803,651931587,2173369,268689047,1758,6652456,103339242,75251,36862643,6489637,3914820,87,15070140,261737182,190375711,1038465,12672219,121158418,11586089,47451,1295710118,92308,37426841,12672217,3042614,37427900,566700,40345901,646356898,364817,44728546,15118040,34852977,13011497,19734801,637283711,791977865,549557914,450093685,51637646,84388,1726,130363037,640570,610,713517,11648152,565913,72096,1653375,36585271,16036026,6364506,690922330,99098591,812821591,34377733,6653074,812821592,612612052,616198294,39180941,554880222,778688602}

Returns: { }
{1,2,1,178625442,5922,223878960,217130396,1,34647,182,47418016,1,983,1,418,67257,74805,5,928146,1,1,26737,1,37504,8832069,68977875,15440259,719325048,813592388,3153140,1}

{10,80,185,178625468,5927,223879023,217130636,279,34677,214,47418077,2,994,68,702,67302,74806,244,928150,87,85,26793,291,37518,8832352,68977888,15440297,719325318,813592575,3153177,3}

{1,36881072,753,13688819,2912,1160,6896870,576762,23643,77607683,866,54,19547282,4,51,693930,735134020,940031853,370520643,784043,4568618,7781,10,33736,718795,1,95002,31646,1,45922158,4415}

{73,36881136,778,13688823,2916,1480,6897230,576924,23765,77607762,1004,55,19547296,47,56,694202,735134028,940031866,370520910,784140,4568623,7875,11,33761,718812,396,95294,31654,237,45922204,4531}

"BWBWBWWWBWBWBBWBBBWBBBWBBBWBBWB"

{9,0,22,18,15,14,13,9,4,11,25,7,4,10,26,13,12,30,14,2,29,1,0,7,5,11,16,23,27}

{1,23,8,17,26,10,5,19,19,3,20,6,22,8,20,25,25,25,21,14,16,0,2,30,0,10,26,19,8}

{40726772,71260,58416,570439104,15971963,47418557,223880490,76823747,787146,192314204,73546462,223450379,8813,47406143,19913906,68977904,88524146,68982272,34062,1126,692290157,36881113,763,572472,223880491,47418977,750404506,787876,719298341}

Returns: { }
{672628,11093,594205,1,1,989783655,584}

{672714,11327,594206,116,4,989783912,751}

{1,540,15,8938,153,6960,1}

{15,575,44,9035,165,6961,24}

"BBWWWBB"

{5,1,4,5,3,6,6,6,6,2,6,5,5,1,1,5,0,1,4,5,0,2,3,4,2,0,4,5,1,6,4,5,5,2,6,1,5,0,4,3,4,1,6,6,0,4,6,2,2,2,1,2,4,4,6,6,4,2,1,0,0,6,6,1,1,6,1,2,0,1,2,1,2,5,5,1,6,0,2,0,3,1,2,3,0,5,5,1,5,2,2,6,1,4,4,1,6,2,0,3,3,5,1,6,4,2,6,2,2,3,1,6,0,6,6,1,2,6,1,0,5,6,4,4,2,2,0,4,1,5,0,4,1,0,2,6,2,5,4,0,1,1,6,4,6,6,6,3,5,3,4,2,0,3,1,1,0,2,0,1,0,0,6,5,1,0,0,2,6,6,0,3,6,3,3,5,3,4,1,4,4,5,2,4,6,2,6,4,1,6,4,1,6,5,3,4,1,5,0,4,2,6,2,1,4,1,4,3,3,1,4,5,2,4,4,6,6,6,1,2,5,5,0,1,3,4,4,6,5,3,3,6,2,3,2,3,4,4,6,2,3,6,2,5,3,5,6,1,4,5,4,0,3,4,5,3,4,4,0,1,4,5,6,5,0,1,2,2,1,2,6,5,5,2,6,5,3,5,6,6,2,1,1,2,0,1,4,1,3,6,3,2,6,4,0,3,3,4,1,6,5,5,0,6,1,0,2,4,2,5,1,3,4,3,2,6,4,3,4,3,1,2,0,5,5,1,1,2,2,4,6,0,5,0,1,3,1,5,6,6,1,2,0,3,4,5,6,5,1,2,4,5,5,6,1,3,0,5,5,3,2,5,5,0,5,3,3,6,5,6,1,4,4,2,1,5,6,2,3,2,3,5,5,1,5,1,3,4,1,6,2,0,0,1,2,6,6,1,6,4,6,1,6,4,3,3,1}

{4,1,6,0,3,5,4,5,2,2,2,0,2,3,5,5,6,5,2,1,4,4,3,5,2,6,0,2,1,5,0,6,4,2,4,4,1,5,3,6,2,3,3,2,0,3,0,1,2,0,0,0,2,4,5,2,4,0,3,4,1,1,0,5,5,1,4,4,5,5,2,2,5,1,2,6,3,2,6,5,6,2,5,4,2,1,3,2,6,0,4,4,6,4,3,1,0,4,4,0,0,4,6,6,3,1,2,1,6,4,5,2,2,2,3,0,4,1,0,4,1,5,5,0,4,4,4,5,0,3,2,2,2,6,0,3,1,0,0,4,6,2,1,0,0,6,0,5,6,1,6,1,0,0,2,5,5,3,3,1,2,2,2,6,1,0,2,5,6,6,4,3,4,6,6,3,5,5,4,3,5,2,0,1,1,0,1,0,3,6,3,5,5,4,1,2,1,2,5,2,6,2,6,3,1,3,3,0,3,1,4,5,4,6,6,4,3,5,1,0,1,4,0,4,1,6,0,2,1,0,1,4,4,0,5,6,5,3,5,5,6,4,2,1,6,0,6,5,1,1,1,2,1,5,0,0,4,1,1,2,2,4,4,5,2,0,0,1,3,4,5,1,0,1,5,5,3,3,2,2,1,5,3,6,4,1,5,6,2,6,6,2,3,2,3,4,3,4,0,6,4,2,0,4,3,5,0,5,2,6,2,0,2,0,1,6,2,0,0,0,2,6,1,4,4,2,6,5,2,3,6,2,1,4,0,1,4,4,1,6,1,5,6,6,3,4,3,4,6,0,2,6,1,6,3,5,5,0,6,1,5,1,3,0,5,3,3,3,6,4,3,3,0,6,1,4,5,5,1,6,1,2,5,1,0,1,3,0,5,5,3,2,3,3,0,0,5,3,2,0,3,5,1,3,6,4,0}

{989789679,520,1080,989118046,744,989790555,564,989789776,592705,751,592788,989117366,989196685,19156,989778820,751,672614,989778481,594494,989779148,673251,594168,595,989790866,495,672448,673036,989196940,58,989789197,672155,989789667,989789955,57,1389,11356,989779566,989117514,9641,9283,594261,19002,9275,593931,12,8198,672490,583234,801,77734,661637,78853,593929,800,989790326,594178,660,78529,19366,672812,662826,11558,671774,989778242,989779283,10666,12084,594176,989117213,989779639,92,583231,989196881,989778166,989196679,10475,9001,79168,592699,989117887,9672,584151,989196481,9264,78398,989778153,989786107,584404,989790049,77664,593741,191,10955,777,8260,328,672031,594320,672858,682366,681567,989789845,11161,134,9344,583247,593873,584138,594154,9450,989779296,593870,79032,593878,9687,661936,593596,10230,662159,673401,989778591,989789775,989790063,672940,594616,593737,672508,989791088,662627,989785380,78928,594088,582996,671145,79178,9738,583658,989118337,672798,672623,10180,583600,11658,672560,672074,751,672469,989785723,989790559,19358,1372,584081,151,681530,583595,989779048,989117663,603202,681589,279,77985,78696,594282,989790324,91,242,78792,989195676,159,484,672190,116,1399,10469,9381,989786374,989785837,989789742,11504,9640,989790722,989196055,77843,11817,11073,78022,11634,673215,19598,771,8213,989778310,989789892,989791163,19493,594887,51,989195870,989118049,594215,593546,592673,592789,19362,11586,19617,8059,682050,16,497,479,676,593771,815,152,1553,9436,989789258,461,78469,989779329,989790981,449,10945,19756,542,672876,594262,989778876,681161,20343,473,595102,681684,989196248,9738,989790018,9193,989789710,989196009,9103,120,186,989778514,9013,989117763,642,989779361,11546,989778346,10922,78430,20107,989789864,989118264,681750,670,11119,662301,584381,594010,989791219,1674,607,78471,661827,79236,583607,19757,594378,989789183,989778271,989118407,583042,989789589,480,698,989785550,593301,594238,583076,989778956,20325,593553,672718,292,989790589,11152,602924,142,10190,263,9536,594700,681152,8914,182,347,662255,807,989791246,989196126,332,1297,19488,989118461,77874,989790542,62,989789322,583504,681792,593772,681796,584102,233,594862,681297,672844,681176,583562,594013,661852,989790198,989789974,583570,11286,989196601,602,9110,361,78047,989779751,673613,661636,20349,10763,989789925,11205,655,569,989196303,672566,9094,8985,989790574,9190,989790561,11302,78989,594999,989790390,989778969,114,19843,989784940,989118558,989118048,989790635,18951,989195701,989779612,989786040,555,747,10,219,10134,989790583,290,19807,9137,672582,593240,435,989790021,989790521,989196599,19491,592726,19365,989196112,70,423,989118450,539,461,673419,989779644,989789484,603115,78347,681895,19327,79183,672205,989790549,19018,592997,673151,10040,989778522,11631,9518,10105,8438,662763}

Returns: { }
{8001392,76,242414,891900190,902599,781662765,4}

{8001394,76,242517,891900226,902615,781662782,108}

{1,46353462,56223069,1,874280723,68150,282902}

{82,46353824,56223070,4,874280736,68167,283315}

"BWBBBBB"

{6,4,3,0,4,0,4,1,6,5,0,3,3,5,1,5,3,2,0,4,5,2,0,5,2,1,4,2,6,0,5,6,6,5,4,4}

{0,0,3,5,4,1,3,0,0,2,2,4,4,5,2,4,4,1,0,3,1,2,2,3,0,4,5,2,0,0,2,2,1,4,4,3}

{8284608,881379443,35,773729475,5,54354804,1765278377,54354824,8284680,837575150,63981850,1765278363,1765278257,75,10111974,1654972706,1765278366,10111900,74,1765278420,827948238,53,63981818,110305523,63981921,828829607,1654972790,72,8284622,47,837575252,56182221,46070298,1654972745,38,1765278299}

Returns: { }
{55428,1,1515352,734,75,5763,1,76197,9971,1,479,948004,1,4555648,6272880,66917,122,25,5979116,500913,71449622,46356,923830,1,422,46437,1,1,22,5086899,1,2844849,676922,1982,3072,1,1,1,121,981,59864625,4,100,386011}

{55514,10,1515353,774,88,5796,3,76369,9999,4,482,948007,8,4556075,6272880,67096,398,29,5979116,501412,71449841,46362,923830,144,705,46712,98,2,53,5086971,9,2844850,676985,1993,3241,4,43,92,139,1027,59864882,68,301,386028}

{6,698210,4674437,255,135163020,367,437344016,934726897,12669,545817192,408,4075059,1,90,89958,14824,238,1,1,1303216,8088,12228,196,8113842,126,17909569,1,7216230,899777,83,591477,1,1,5,92461,1463,6647496,45083059,39267,1,649,4039663,351633539,1}

{121,698237,4674460,282,135163105,576,437344018,934726915,12669,545817203,409,4075199,19,97,89981,15047,256,4,155,1303272,8096,12354,268,8113848,127,17909572,25,7216234,899778,93,591505,27,3,11,92595,1478,6647517,45083191,39309,19,693,4039701,351633633,63}

"WWWBBWBWWWWBBBWWBBBWBWWWBWWWBBWWBBBBBWWBWWBW"

{1,42,37,19,19,29,18,4,40,5,14,12,31,1,40,7,2,0,15,28,43,38,11,21,38,4,36,13,43,16,1,36,7,9,37,15,14,22,43,24,3}

{19,29,31,29,10,10,16,3,20,17,16,10,33,2,8,19,11,16,35,17,36,7,6,19,27,34,3,8,32,38,42,17,22,36,8,17,37,18,11,33,12}

{1106443,356720935,47927582,5889287,1803757,5086957,5979173,135163502,11592602,6491,6361782,766,2843071,5491401,59866253,933848287,1167277,55096,80338,900050,7033626,934763581,434216405,1745583,7177344,135073590,6647481,4559033,291490,38907,350935214,6647447,935574588,539169615,45080879,81242,51266241,5055424,4636865,1373,1458}

Returns: { }
{58118,34,1,1712140,1,832,311,66117333,4471,336579457,28,194385859,1,14106881,263,13,962191,8574,8666163,472,2755736,1,8707367,596,559663,272827,391,6018,1,237,47460,4817702,23823,12,63126,654,1,30,114055,224,1496,1,1298,6086442,62,54552799,1,1,1,335305,6463736,440267,1,820800509,843987,21790,46214,1,89806298,96836077,607,18132579,40,50,220,633123102,526038033,1,91092,8421354,2870,3849366,1841404,280,1,1,637342,55,883697330,4145062,515886,369311,4863,6645461,1,1551694,1,1,6249}

{58129,85,51,1712252,31,832,481,66117376,4473,336579580,42,194385888,340,14106980,263,51,962240,8606,8666471,624,2755890,4,8707401,604,559671,272852,402,6341,11,308,47601,4817945,23841,81,63166,679,7,53,114152,225,1512,34,1757,6086474,341,54552835,28,11,11,335332,6463742,440269,280,820800549,843993,21792,46228,5,89806304,96836077,613,18132607,56,64,255,633123123,526038321,29,91373,8421383,2885,3849411,1841582,460,17,157,637353,165,883697334,4145086,516299,369323,4863,6645483,8,1551849,210,46,6265}

{82785470,808104012,1,4652,88944,90,345,18436019,7,1,837111678,51,848986442,69601,34174,1,1,39227,1,1,1,7759735,571308041,13,67,1890657,284201788,393,404550066,68,54418626,68630082,7702,20,1,1,518,85455,1007,14422,1,60722,1,1,53222429,991,292,4575323,6646,105,754455,5872858,389021,376,9,1,615446578,31,537565851,2578,57512,2,154655,2861071,95,1,981772873,6505,6948912,238,1264423,8936549,54476595,412324,54,991,67,969,916344,748763909,43900071,1,57216368,1,1808322,552013024,3624,1598452,6}

{82785505,808104122,91,4674,88951,98,349,18436032,13,100,837111736,83,848986714,69617,34206,37,17,39320,50,5,1,7759740,571308229,14,72,1890712,284201807,393,404550102,358,54418648,68630337,7821,21,1,152,560,85522,1017,14422,5,60809,13,107,53222448,1060,321,4575550,6654,114,754535,5872859,389027,644,11,3,615446691,81,537566023,2837,57523,4,154678,2861162,96,4,981772988,6640,6948929,242,1264429,8936552,54476637,412372,218,994,70,1000,916499,748763974,43900072,2,57216677,8,1808505,552013028,3653,1598461,11}

"BWWWBWBBBWBBWWBBBBBBWWWBBBWBBBWWWBBBBWBBBWWWBBBWWBBBBWWBWBWBWWWBBWBWBWBBBBBBWBBWBBBBBBBWW"

{50,75,69,40,7,58,41,31,26,42,34,70,33,29,44,41,18,47,51,31,42,3,64,51,4,42,25,10,14,43,43,39,34,43,44,4,76,49,32,11,49,83,39,3,43,46,1,7,61,19,33,39,47,88,31,71,63,15,88,31,81,36,24,14,70,84,84,69,57,73,49,13,34,65,75,42,20,37,57,21,64,71,22,73,69,14,65,11,18,13,81,42,39,57,3,5,8,41,45,26,71,43,54,45,87,19,42,65,61,83,23,4,66,66,44,76,17,4,31,17,5,6,81,34,61,29,76,9,23,87,18,49,19,11,15,41,13,35,57,32,46,26,10,45,15,58,18,44,87,39,58,48,83,55,48,87,54,4,74,17,40,82,64,57,19,26,35,81,59,21,29,81,61,68,45,22,27,14,24,28,48,59,6,32,19,20,52,44,81,58,19,10,10,27,73,48,45,67,17,39,44,63,33,9,24,77,61,48,74,25,19,22,40,11,61,77,68,60,17,3,55,37,74,76,40,5,45,10,20,65,30,70,2,57,82,53,2,2,0,66,9,50,81,58,8,61,42,41,55,42,38,50,20,60,44,60,55,84,57,23,2,30,21,64,56,25,23,10,52,53,58,11,84,87,31,22,24,69,88,30,26,1,4,77,7,84,19,18,54,29,86,3,35,4,81,88,64,4,37,5,69,86,51,21,73,62,44,12,47,25,43,30,72,15,76,76,67,17,8,24,2,60,56,87,21,30,22,39,19,26,18,1,73,66,26,48,58,71,19,6,77,6,25,15,40,85,12,39,71,78,41,54,11,7,84,84,88,17,87,55,80,20,10,75,84,2,42,50,69,0,7,54,75,86,86,76,14,29,8,60,45,46,25,2,73,30,40,23,21,28,54,61,39}

{41,49,50,47,7,0,5,85,75,27,84,20,8,46,34,16,78,0,60,13,57,42,24,20,68,13,36,75,84,82,2,17,4,72,86,24,64,78,69,46,67,33,44,72,40,30,2,43,45,77,26,5,42,80,18,54,74,44,34,18,31,8,36,11,63,62,10,86,78,40,20,14,52,59,69,20,18,0,60,25,63,30,28,8,79,2,85,81,44,34,21,27,42,59,75,2,62,43,81,69,50,52,33,77,76,45,85,65,54,4,21,87,34,72,62,44,59,41,65,31,8,75,17,74,70,1,3,9,5,74,55,45,49,64,35,17,2,20,27,59,41,68,70,43,15,48,60,88,4,67,47,53,80,35,13,53,54,61,29,36,56,30,84,16,67,76,11,88,6,78,47,83,81,2,66,70,42,31,16,45,63,4,2,63,67,83,47,20,72,29,76,42,51,5,59,83,26,46,24,39,81,54,35,75,43,75,54,73,41,78,69,6,34,35,71,7,70,12,64,51,70,32,26,40,10,17,58,62,16,82,53,61,84,24,28,1,11,14,8,21,12,84,44,6,62,63,83,23,2,57,82,43,73,25,36,36,66,50,75,23,70,6,3,4,69,57,26,12,48,75,23,5,56,54,47,30,17,79,69,45,40,25,24,54,82,51,17,2,15,12,82,48,62,7,69,22,88,64,30,57,72,66,81,22,6,9,38,60,65,82,15,36,8,46,21,30,54,81,88,13,58,43,60,61,74,79,64,3,59,74,36,75,6,25,40,66,56,69,44,57,44,66,68,85,57,62,47,63,85,21,40,60,87,67,8,12,19,31,60,78,82,64,4,21,77,75,6,27,40,1,80,2,30,82,2,55,50,49,27,81,11,4,75,70,28,38,62,81,67,51,31,46,11}

{7157380,336336,2711715,4577124,229,544528538,61420,486649090,284201514,4429,1871976,4017397,4444,272,53285777,1023162,875947600,78267763,6255062,77849379,1414,1714905,559754,8188502,6951068,14174617,2162727,837110759,1774550,63298256,6086551,33522,152167,58721786,53218540,648286,637208,884278130,8404977,194385790,341585,6645311,53207949,54600900,6084829,54465744,808104140,78466788,36421097,1419,284201943,14855,4577386,44409978,72478979,11941936,2861070,53222147,56848,72478849,73078744,5253,560452,194419624,1599250,1653868,835302975,8424862,884613872,413152,2420946,14141903,451700,536289695,8422019,2754296,5910488,82757893,58375,6141756,2861174,49284136,175465120,416506,753040037,34596,1183584129,194016565,61889149,14113345,8129300,4415,15826,96838920,1715584,960,158841,6147040,54184376,292622246,10796266,6475202,844093,54552631,2235936,54553282,553563194,257,17288695,6734397,7760451,1509778,1507748421,1451492997,53067912,53859505,96864457,28525,696935348,73400603,3471,1202,399815,62859,19394157,808104359,1079657,99,355,1598660,8644620,54218587,334639,194385809,891,30303,14176466,2755016,6541,96817433,60405,277343511,835849903,48467152,161,627365522,8723112,53228328,1509266,8163,622796590,820806654,50029747,20819,14169661,822398653,93,18221604,553,47598,615491081,2840475,1808562,962404,7327,284838988,194384968,362950,96837948,890540243,4575746,6275979,17763056,7039668,1453257640,578748161,4972,73414003,402384,459102169,2854649,96922353,931,2876850,7154,3889409,4186898,55978402,55948394,627371890,636861,837113485,831678764,5445,97245039,6652124,338753403,6295,590581,279,53591375,3704825,768,336580262,5526914,15,17288535,406081,60943,884398725,8421224,580014463,61728,194385083,23219898,84552397,5772815,848929750,47603,7140128,1283488,101242,284202079,635804,837112970,46709,572818301,836956720,1793789,690334741,875171242,19393997,1808403,559736,347338212,1628903867,194386096,34478,82839247,1500051807,1185566196,7517420,53591648,627371497,159187,20993539,6643995,61314,21579,1815,57324716,1131951,3167817,2105466,53221883,57550,1507789350,7517999,727,91,1267392,54465275,9466957,88967,623821476,2163387,284202220,11874500,382829,820801095,627371920,194385261,613684303,2442397,68872568,525548998,590561,753040325,8415262,108922979,284202690,806486002,648259,844707,104892919,4504667,47465,8666605,844107,848986412,57217856,1714083,155018,84464553,8052369,580008996,6370,89080,54380417,722,61056601,1507807451,5943587,572255758,411928,336734331,53335734,848929868,637698813,55593897,6086273,54465950,56313753,166,8397061,55008081,850512,400010,1719,13617033,627372201,6143373,615434841,19731068,7759362,698442489,580015090,1721965,96838044,284202275,8667218,808102889,412449,1505647482,284202817,1507804492,167640400,13508546,53222512,495,53221339,1507810456,5239803,553564830,1551,553410021,844410911,2846948,545374417,890540788,62072,901213,195984280,84546710,1812805,847178060,6099,73400324,1541674,884592279,13827997,2755780,837022782,7758767,1807825,1362,1851,7211830,8420244,725376707,91065574,843827,54465330,57217825,3557,615592,7183775,335255,2097,426043,139834252,88911,2162725,1266992,404137914,54484169,156030,368764,7753219,399117636,72604058,18133052,194399810}

Returns: { }
{30150491}

{30150716}

{22}

{282}

"B"

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{2,0,2,2,5,0,0,5,5,6,6,2,6,1,3,6,1,5,3,6,4,5,6,2,2,1,0,1,4,2,6,5,6,2,1,0,5,2,5,1,2,3,0,3,6,0,0,2,0,0,3,4,4,2,6,6,3,0,2,2,5,0,2,1,5,1,5,0,5,2,5,6,0,5,0,3,3,5,2,4,4,4,1,6,4,4,6,6,6,5,1,1,3,4,6,5,2,1,4,1,5,0,1,6,1,3,0,1,6,6,5,1,1,1,0,5,2,1,3,5,2,2,1,2,1,1,4,4,5,6,1,2,2,5,6,6,1,6,4,0,2,1,6,2,4,3,6,3,3,5,0,4,6,3,4,4,0,0,5,6,4,3,3,1,6,4,4,3,1,5,4,0,5,5,6,2,3,2,1,1,6,4,3,6,4,1,4,1,1,6,3,1,5,3,4,3,3,1,3,4,3,3,6,6,6,6,6,0,0,4,1,0,5,6,2,0,4,0,2,4,3,1,5,5,6,4,5,4,2,3,5,5,2,5,6,0,3,1,2,1,6,0,1,1,5,2,1,4,3,1,2,4,3,2,5,0,6,0,6,4,2,1,5,2,4,5,6,5,0,4,3,1,1,6,5,1,6,4,6,2,0,5,5,0,3,4,4,0,6,2,6,2,6,1,3,5,2,6,3,4,2,4,4,2,4,3,5,6,5,3,1,4,2,5,5,4,1,2,6,0,3,3,4,4,3,0,5,0,2,3,5,1,6,5,3,1,0,6,2,6,3,0,4,1,1,4,1,4,4,2,1,2,2,4,6,5,3,6,4,0,5,3,6,1,0,6,0,2,5,0,4,1,6,1,0,5,4,5,4,2,1,3,3,4,6,6,1,1,0,6,0,2,5,4,0,3,6,0,6,5,1,6,6,2,3,3,1,2,1,2,4,5,2,5,3,6,1,2,5,2}

Returns: {30150587, 152 }
{41}

{294}

{494}

{494}

"B"

{}

{}

{}

Returns: {293, 494 }
{5579202,65569866,1,842418586}

{5579236,65569986,37,842418604}

{219,383,632,4772}

{347,388,755,4864}

"BWBW"

{3,0,1,3}

{0,3,3,2}

{836843889,836843889,776853116,842422730}

Returns: {5579227, 316, 65569928, 386, 27, 694, 842418590, 4796 }
{790515867,60539196,363617960,98,431252075,89941,8796,1,1}

{790516176,60539198,363618005,130,431252097,89945,8862,10,16}

{176433,940662,731,9842,859856103,5232738,84083226,8,814772}

{176551,940671,765,9869,859856105,5233013,84083248,38,814798}

"WBWBBWWBW"

{2,3,1,6,1,6,7,6,4,5,6,2,2,4,3,2,0,8,1,6,4,0,7,7,2,0,5,1,8,6,3,5,1,8,5,0,1,4,8,0,4,3,5,8,8,8,4,7,2,7,6,2,5,7,8,1,2,0,3,6,3,8,8,6,8,4,8,2,3,6,6,5,7,8,5,7,8,3,8,6,1,1,8,7,8,5,7,6,4,5,8,0,7,2,2,1,3,0,4,7,6,0,8,1,0,6,6,2,0,6,4,7,4,0,1,3,0,6,4,6,5,4,5,6,4,1,7,8,6,1,7,2,1,1,0,6,6,6,0,5,5,5,2,1,2,5,4,1,4,3,4,3,6,6,8,6,6,4,4,0,0,0,0,7,7,4,0,1,1,5,6,2,7,8,3,7,6,8,5,2,1,4,1,2,3,6,1,4,2,3,5,8,1,6,6,0,0,5,0,2,0,8,0,5,0,6,7,0,4,4,4,2,3,2,7,8,6,8,4,8,1,2,5,4,8,4,6,5,8,6,2,2,7,7,6,1,5,4,3,7,7,1,4,7,5,6,1,3,2,2,5,8,6,0,0,5,0,7,8,3,1,2,0,7,7,3,3,1,1,3,6,6,3,6,3,8,4,8,6,6,0,7,4,3,8,8,0,7,6,5,2,6,2,8,1,7,7,3,7,7,6,7,5,3,4,5,2,2,7,7,5,1,4,0,1,4,1,3}

{3,8,2,5,4,5,8,2,1,0,3,5,3,0,6,1,6,0,8,7,8,4,8,8,5,3,7,3,3,7,0,8,0,6,7,5,4,7,8,4,7,4,2,0,6,1,6,1,6,3,6,8,5,2,2,7,6,0,0,4,2,1,8,1,1,3,1,3,1,2,4,0,5,3,0,2,3,8,2,6,1,6,8,4,8,2,2,6,8,4,7,5,0,0,1,0,7,1,5,6,1,4,6,4,7,3,7,2,7,1,0,5,8,0,5,4,4,6,0,5,2,2,7,4,8,6,5,6,5,7,7,1,4,1,7,5,0,1,5,4,2,7,1,4,6,5,8,8,5,2,0,1,7,5,3,5,4,1,8,8,3,0,3,8,5,2,4,7,4,1,0,8,5,3,2,0,8,2,1,3,1,6,6,2,8,5,0,4,4,2,6,7,5,6,5,7,1,7,8,1,6,1,3,8,7,0,6,3,5,4,7,4,6,3,8,6,1,5,3,3,2,2,0,3,8,8,0,5,7,3,7,1,0,0,2,5,1,3,8,2,2,0,8,2,3,1,2,5,8,1,8,5,0,1,4,4,0,6,1,4,4,1,8,8,8,0,0,1,4,0,4,0,2,2,7,4,7,3,3,2,6,6,4,0,6,1,0,2,1,7,4,3,2,5,5,0,2,5,1,5,0,6,2,5,3,0,6,8,1,4,0,4,6,4,3,5,3,4}

{363627046,805066,304018740,78931382,1229628316,78931363,814796,447691665,1229628265,795482453,84082001,368760342,363626975,1218943539,84081968,304018736,874413889,791154167,60665040,84092017,1290293356,1218943537,814756,814754,368760372,790682284,5323004,61469931,805060,84092062,790682281,4508234,730740923,83277258,5322932,795482564,1229628357,1291108147,54,1218943410,1291108149,1291098147,368760289,791154255,83277298,60665020,1207016220,61479901,447691612,9987,24,364432035,34,363618765,364432000,61479796,447691680,58,790682322,1207016176,363626974,60665063,69,143673003,60665098,1291098138,60665029,363627015,61469841,447691682,1207016170,795482502,5323008,805038,795482460,363618739,804998,804995,364431953,37,22,143672890,43,1291108168,67,368760357,363618802,18,1290293442,1285785239,814834,795482564,790692341,427073544,304018737,730740953,9982,730740864,1285785215,84092082,143672931,1218943459,83277298,1229628367,790692333,84082018,84092029,65,790692332,143672964,1218943486,5322874,1290293449,54,64741604,1291098231,1218943507,62,1218943505,78931330,368760311,927489440,5322886,1207016156,1290293445,143672938,5322899,83277303,78931357,61479854,7,304018731,1229628379,69,790692320,78931398,874413815,143672929,795482462,1285785159,368760292,5322978,304018713,1229628339,447691685,63,1290293362,60665105,1285785239,363627017,1218943517,61469876,84091941,78931333,805047,78931371,1207016117,1229628332,1290293460,791154182,790682395,18,790682370,814794,5322955,927489460,1218943519,61479829,1229628305,64741595,874413886,364431982,5322983,804972,363626982,790692340,83277222,364432001,64741531,363627000,56,1207016126,143672963,61,805076,78931420,730740944,12,927489391,363626996,78931407,814805,64741591,33,78931335,790692258,730740945,5322981,791154210,304018773,874413938,60665125,790682329,4508153,790692269,874413909,84091944,790682295,1285785264,25,1291108171,927489361,84082028,363627004,814821,83277227,143673017,4508232,1291098163,805037,304018657,42,795482452,1291098141,69,1290293456,874413889,42,814751,84082036,363618692,304018722,790692342,790692257,447691709,64741573,64741661,1291098166,805060,363618757,363618706,730740878,1290293336,363618730,5312978,143672998,304018766,5312909,364431981,304018648,4508139,4508214,874413943,730740951,1218943428,1285785163,24,84091946,60665038,1291098224,1229628260,304018724,791154266,814758,814712,790682383,790682279,6,1229628288,790682353,1207016120,874413812,363626939,447691658,9964,1290293368,1291108162,805069,84082001,447691731,874413816,84092052,27,790682297,83277195,60665071,57,363618818,143672964,5322997,927489355,84082012,66,4508159,64741568,790692361,363618788,5313013,61479801,5322978,874413887,84091977,368760238,5312998,1291098199,795482543,447691690,364432054,61479807,1291108100,795482467,1229628387,1207016163,1218943528,61469905,1285785278,61469845,1291098193}

Returns: { }
{4710779,697271,979332584,51,778,482980234,1,1,1,20,1,340,5,91489}

{4710784,697284,979332628,53,794,482980248,5,55,248,26,10,387,7,91754}

{9082,835,9440878,1,4082,978045897,14495659,6726689,2265691,44,4386644,9505,491769,1}

{9145,980,9440892,81,4083,978045911,14495778,6726695,2265745,66,4386646,9532,491834,7}

"WBWWBWBBWWWWBW"

{7,6,2,2,3,12,6,5,1,12,10,13,6,6,13,11,8,4,3,5,13,5,6,10,6,9,2,10,11,3,12,11,11,2,2,0,4,8,11,8,4,13,8,2,3,8,3,6,0,1,11,7,13,11,0,2,0,10,10,8,10,5,1,0,2}

{7,8,6,0,11,8,11,7,5,10,1,11,0,4,0,11,9,7,6,1,11,1,1,3,9,5,8,4,2,6,13,2,9,10,6,4,2,13,10,1,0,11,0,7,9,0,13,6,0,1,3,6,4,1,1,7,5,6,2,7,2,8,9,5,6}

{6,12229931,984387365,984053597,9778,1773969,14486516,1454299399,1460328040,3894883,5083059,100881,19197360,14492369,4628112,5,2265700,6723341,14495634,1460328045,100892,1460328036,15192098,4386604,14495633,1461026063,986507727,4383336,988763560,14495631,583507,988763551,9841,984386822,984387362,4715009,988768606,2357472,4377487,2962162,4715016,100880,6967430,982046732,59,6967419,91768,2,6,0,9778,7769033,95043,705582,4021746,982046720,1456306276,10109033,984386819,4461006,984386811,1458760422,698041,1456306285,984387377}

Returns: { }
{2767935,90585,686,1,278,2379,1}

{2767996,90631,695,3,284,2380,3}

{859718,964,6897,1,931152,1,1}

{859801,979,7067,67,931175,24,2}

"WWWBBWW"

{4,6,6,0,1,2,1,3,3,4,2,1,1,3,4,2,6,1,2,2,6,2,4,0,3,4,3,5,1,6,5,3,4,4,3,6,1,6,6,5}

{4,3,1,3,0,4,5,2,6,5,3,5,4,5,6,0,6,1,2,6,6,6,4,6,5,6,5,5,1,4,5,6,2,3,4,6,3,6,1,3}

{0,54,91574,3627656,3536137,924499,89197,7684,55,933253,7689,89203,1020530,2437,931436,3619967,4,5,0,7751,4,7753,4,3627712,2439,931426,2434,3,2,931437,0,57,924498,931367,931372,0,91518,5,91571,2440}

Returns: { }
{31698516,33232929,1,762605594,4113158,605,822}

{31698590,33233029,35,762605836,4113160,798,834}

{472314511,187,55412,513317,4,2903,5}

{472314708,246,55415,513338,8,2905,265}

"BWWBWWB"

{2,6,5,6,0,3,0,1,0,2,4,6,3,3,3,6,0,5,6,5,4,2,3,3,5,4,4,4,2,3,1,3,4,5,2,5,6,0,2,5,2,4,5,5,4,5,2,2,1,5,5,1,5,6,0,3,3,6,0,3,0,1,6,5,5,5,1,1,6,5,3,3,2,1,2,6,1,0,0,5,6,1,2,6,1}

{0,6,4,1,6,0,3,2,2,1,1,4,5,6,1,5,3,1,6,6,1,1,2,4,5,2,3,5,1,6,6,5,3,1,3,2,5,5,2,1,6,2,1,4,2,4,3,4,3,0,2,4,4,3,5,2,6,6,0,0,4,4,0,2,2,1,1,0,1,6,3,4,6,5,3,0,2,2,5,6,0,6,4,2,6}

{503957613,0,4115452,33232335,504012194,1202708252,1202708252,33288102,503957613,33288102,29120002,4112333,763115421,763118096,729885761,3125,1202708252,33234988,0,3125,29120002,33288102,763063515,759005763,0,4168566,759005763,4115452,33288102,763118096,33232335,763115421,759005763,33234988,763063515,53114,3125,504009519,0,33234988,56239,4168566,33234988,4115452,4168566,4115452,763063515,4168566,729885761,504009519,53114,29120002,4115452,763118096,504009519,763063515,763118096,0,0,1202708252,499899861,29120002,504012194,53114,53114,33234988,0,473848683,33232335,3125,0,759005763,56239,33234988,763063515,504012194,33288102,503957613,504009519,3125,504012194,33232335,4168566,56239,33232335}

Returns: {31698518, 472314511, 33232929, 241, 35, 55413, 762605595, 513336, 4113160, 8, 641, 2905, 834, 15 }
{6369397,353,180222,1,880,787300,369927638,429452,4227928,3646990,62224,768043,530,829771,5996,1,1,1,7447073,236447,1,728,650601,1,340,69136,83514,12,1,80,8876891,1,1}

{6369424,641,180271,1,880,788030,369927779,429560,4228177,3647061,62245,768492,925,829775,6000,52,21,41,7447525,236475,23,795,650635,335,562,69159,83909,15,3,183,8877418,2,4}

{29305,2561,542,2211,10,3,6492,198100113,12,74,520,5619,7350341,1,889532,991244201,930608,148,933042,8062940,797512,5237419,555356309,5577,525025,1,50583384,6615919,34432142,1488,1,527207763,285}

{29492,2577,838,2230,18,3,6803,198100131,64,74,860,5971,7350628,2,889699,991244237,930770,178,933042,8063094,797552,5237425,555356565,5845,525087,255,50583708,6616030,34432143,1862,1,527207776,477}

"WBWWBWBBBWWWBWBWBBWBBWBWWWWBWWWBB"

{27,3,19,21,24,11,13,2,14,2,31,0,6,21,18,30,7,13,4,3,21,28,31}

{11,7,4,5,24,23,9,6,27,8,13,6,8,17,12,10,7,1,28,16,0,21,12}

{7378476,198527426,8298657,6024239,1,768323,2817287,369753209,5732209,4048703,528037547,363581197,365706051,5237993,13864152,8815702,0,831974,34433006,928546,11576761,29195466,519858057}

Returns: { }
{752}

{768}

{68693614}

{68693629}

"B"

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

{53,60,2,72,15,60,19,46,73,57,41,29,71,38,16,27,26,20,68,48,54,43,46,21,11,10,20,40,65,61,13,19,39,15,55,53,19,17,47,73,48,8,55,52,21,27,29,13,11,4,8,60,57,0,52,46,68,65,16,26,26,14,25,38,40,4,74,56,63,25,32,50,63,11,58,32,65,36,25,41,41,70,51,56,19,73,3,44,69,50,63,15,26,74,36,21,39,45,9,65,62,4,46,20,5,69,8,18,24,64,4,26,34,65,49,57,38,9,1,57,62,4,64,42,25,62,25,65,22,65,52,49,64,11,54,36,32,64,6,3,71,10,69,34,38,29,70,52,67,45,24,74,22,58,28,71,2,30,26,33,57,44,39,56,44,74,65,73,20,64,37,69,66,9,15,35,8,43,19,41,16,72,25,1,72,4,37,66,3,9,52,70,46,15,15,17,65,2,32,1,69,55,69,17,40,54,39,15,69,58,62,69,0}

Returns: {760, 68693621 }
{1,890}

{54,909}

{1,89}

{12,332}

"WB"

{1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0}

{0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0}

{1404,602,442,103,395,915,55,204,301,572,1768,206,1605,1252,1661,520,457,446}

Returns: { }
{1005070,813555,1,8064914,11}

{1005136,813556,11,8064921,19}

{1,1703,302859951,9159150,1}

{3,1940,302859954,9159151,8}

"BWWWW"

{0,0,4,4,3}

{2,0,3,0,2}

{303865043,1,17224043,1005076,301765714}

Returns: {1005091, 2, 813556, 1822, 11, 302859951, 8064914, 9159150, 19, 3 }
{2451476,21201261,136,371,4189016,8168801,8,195811,561034654,539}

{2451478,21201580,143,460,4189200,8168809,20,196098,561034908,568}

{240586896,1,7,58940,3974981,81637330,1,576943,38009,1}

{240587186,4,22,59142,3975261,81637343,23,577166,38077,32}

"BWWWWWBWWB"

{5,2,3,1,2,7,7,7,7,4,2,4,2,9,2,3,0,3,5,7,3,4,7,2,9,5,9,7,9,0,6,4,0,8,1,4,5,3,1,5,9,2,5,6,6,8,9,9,4,3,2,8,9,7,4,0,5,1,0,9,5,2,0,5,9,6,1,6,9,5,3,5,1,4,9,4,3,7,7,0,3,4,2,4,0,1,9,7,4,5,7,8,3,4,1,1,5,5,3,3,1,0,4,8,9,0,9,1,1,5,8,4,2,4,8,7,0,0,4,4,3,6,1,4,5,2,3,3,9,2,1,4,0,7,7,4,9,7,7,4,0,6,3,6,9,3,8,8,2,8,1,8,8,3,0,6,5,5,5,4,7,4,9,2,4,2,2,3,2,6,9,6,3,4,9,8,4,1,9,7,3,5,8,2,0,6,0,8,7,1,4,6,3,9,4,5,2,0,8,7,5,1,2,6,2,9,2,1,9,6,4,1,1,6,0,1,0,6,4,6,4,2,9,1,5,9,0,6,3,4,4,0,8,6,9,5,1,6,8,4,0,6,1,1,6,7,4,9,2,7,1,1,5,8,6,4,8,3,5,6,5,8,8,8,0,8,6,2,5,9,5,0,1,4,8,6,1,4,9}

{1,6,1,0,8,7,9,9,9,8,1,0,4,1,8,1,6,0,3,2,1,0,1,8,5,5,5,4,8,1,7,6,2,5,6,9,0,4,3,4,7,3,5,6,0,3,4,7,4,6,4,2,2,8,0,7,2,8,4,6,9,6,8,7,1,3,6,9,9,2,1,1,7,6,4,5,0,5,8,2,9,3,8,5,6,5,1,8,5,7,1,0,8,5,1,8,2,0,6,1,5,1,5,5,5,2,0,9,7,0,8,8,1,7,9,5,9,8,9,8,8,2,0,6,9,2,2,9,9,0,9,6,7,2,5,4,5,7,0,1,2,3,1,1,4,0,7,6,6,9,3,0,4,8,1,5,9,1,5,4,2,6,1,1,9,3,4,6,6,0,4,6,5,3,6,9,7,8,9,1,9,7,4,6,5,7,9,1,9,7,1,6,2,0,4,9,4,8,8,0,8,2,0,5,3,2,2,3,8,3,4,1,1,6,8,0,0,1,2,9,7,1,8,0,0,5,7,3,8,3,3,5,4,6,0,0,0,8,0,9,7,8,1,7,5,1,5,4,4,0,0,8,9,8,7,4,9,1,2,9,9,5,4,9,5,4,1,9,4,2,6,3,1,2,7,8,4,3,9}

{94670108,276,21259800,259337285,561072313,137,772556,772753,772776,560783011,21201404,238349550,8163841,21200712,561072318,21260007,243038767,242979190,89746579,772876,21259759,238349807,21582550,561072738,89805721,57,89805686,7390793,561072152,259337334,773277,8164253,243038590,634465297,21201369,8163603,164667040,8104939,21260074,81642014,772558,59186,59,11,243038684,561055123,8163399,772741,124,59353,8163820,561072419,346,561377902,238349580,242265558,89806098,539871185,238349698,675,89805641,98,799132326,89032898,21200797,59124,21201436,490,132,89806112,21259852,94670000,21582339,8164107,8163618,81641968,242979195,89032807,561377558,243038660,58991,8104782,561072445,81642030,243038715,94670053,21200970,561377975,81642192,89032722,21582417,799132390,561054971,81641814,222,539871382,89805947,164667327,59376,21260023,94670149,259337341,81642152,634465166,89805355,243038342,243038133,21201033,21582332,164667264,230,560782693,21201394,7390811,561072017,89033000,243038006,799132202,8163616,560782675,561055347,326,259336950,8164085,89805646,39,59133,58963,157,243038379,21201077,8164055,242265388,773037,89032732,87,89805521,34,242265592,20987440,243038735,59483,21259791,21201225,8163377,242979517,561377969,561072677,46,561072165,21259842,799132233,560782714,561055372,259337016,89806287,89805634,94669902,185,165,772942,8164125,21200943,21201295,8163587,59365,8163792,59134,356,243038874,8163459,237,89746627,8104975,361,561072297,7390697,539871440,141,21582303,59028,89032961,560782591,324,164667393,773368,243038076,539871489,772704,21582594,20987462,205,59429,243037934,166,89805433,8163881,799132260,154,242265253,634465421,21201230,243038286,89806195,59128,591,132,21259856,561071914,59235,168,10,64,204,799132139,259337336,208,21201296,8164115,540,7390919,21201469,561072318,259337195,164667136,89805488,242265573,59372,561054998,8104645,8104903,164667102,560782750,102,243038191,164667303,259337117,561072442,799132388,8163576,242265644,561072446,75,21582242,89806330,21582482,81642109,8163768,8164012,242265648,259337047,539871512,89805803,12,773211,201,561072219,21260154,89806184,793,89805804,634465377,560782611,561071952,164667004,560782566,21201235,594,81641844,609,89806120,242979181,122,8164171,561377521,561072508,20987565,8104849,163}

Returns: { }
{1853864,1,350,58770,1,72339}

{1854043,108,352,58810,1,72350}

{786148003,92836872,4967685,5537065,2226,7738386}

{786148112,92837046,4967958,5537079,2552,7738411}

"BBBBBB"

{1,5,5,4,3,4,0,3,2,0,0,3,3,4,1,0,5,4,4}

{3,5,0,4,5,1,2,3,4,0,2,2,3,5,4,3,1,0,3}

{87358774,1,780191389,0,2214878,92834614,783034085,3,4965624,8,783034085,627825,5,7808323,92834617,782406264,85170970,787999716,5593445}

Returns: {1853937, 786148006, 34, 92836905, 351, 4967820, 58794, 5537069, 1, 2552, 72345, 7738392 }
{614822,95017,281,1,60689,159,9425,89,9850242,8344790,950340,624620128,17147,1,23409,2765181,304,1,77402,1,1,1,1,515,126522977,3897917,65,1,5794740,100,46,264549,1,1,209234,365714,1,7778}

{614834,95017,282,95,60691,438,9429,126,9850312,8344804,950488,624620167,17171,2,23415,2765237,353,1,77433,3,3,301,9,655,126523069,3897963,100,18,5794743,100,310,264561,21,1,209253,365919,67,7789}

{40,586116,3799908,1,82,43,1,1899321,247,1,54,52197460,36562,292058,1056045,3193,3417846,94424152,773738,28,460,1,695842,638315376,88882,6133,32510,936,71105,1952,8379,419,399,72839968,8239,7212,1833,907}

{42,586117,3800015,91,83,201,10,1899328,414,78,75,52197498,36904,292058,1056441,3194,3418048,94424204,773746,115,467,118,696031,638315378,88904,6229,32511,951,71113,2017,8552,466,685,72839974,8255,7248,1833,941}

"BWBWBWBBBWBWWWBWBWBBBWBWWWBWBWBBBBWWBW"

{3,20,14,36,3,20,8,22,7,22,18,35,25,32,33,9,35,10,2,29,0,30,26,12,13,32,37,13,3,12,36,15,3,4,6,1,20,29,4,33,13,25,9,33,37,14,9,30,14,36,35,22,34,31,24,4,24,22,24,31,25,1,24,12,27,20,3,32,2,37,17,35,26,31,1,12,12,13,12,8,2,36,8,37,6,0,12,15,22,25,28,28,10,35,35,12,9,14,34,14,25,23,29,25,20,9,35,23,15,22,12,5,35,10,29,8,36,12,7,20,0,25,33,12,32,36,35,8,17,21,37}

{24,2,34,37,25,14,17,37,30,22,1,33,3,25,24,23,8,15,37,30,3,21,5,2,34,10,2,34,16,1,1,24,33,0,11,7,18,32,6,1,31,21,30,1,14,6,37,28,23,7,32,20,18,30,31,33,13,25,20,18,21,22,16,35,32,31,11,19,6,33,27,35,32,18,35,1,26,5,23,27,5,8,5,7,7,19,12,8,32,18,28,7,32,33,33,17,26,25,1,13,14,35,27,30,32,16,1,20,11,1,10,3,6,4,17,33,16,24,17,20,19,16,17,9,3,27,8,9,22,21,6}

{126611896,3799764,1233633,8637,3904149,1078997,104274030,702824,1891017,3,205242,73198499,3904146,3903735,199274087,646659635,9491327,1817911,3806501,6784,614864,8836,32821,3779928,493052,950721,3806501,493045,3418211,627065,679254,123843518,72839968,554173,676808193,1408132,850689,1640,51341,72348866,556163,3904150,8353000,72348867,1070727,1070024,8337936,5857014,637282220,1897533,372541,695541,897337,272328,126346881,72900580,126726161,4587677,126611438,960439,3904138,204879,129851605,378249,546,264568,676817629,333,3809080,72846811,94423256,3,32181,960442,849618,627061,21475,292452,638295120,9850776,3800053,9851642,9850207,1906085,1908662,614857,1,7087857,695585,4588037,6,7622875,950725,73198488,73198499,94404450,8377212,4924323,692097,787397,4924332,638673381,1092,3899921,65,11762291,849622,638315441,674049238,204880,970063,475,363528,889721,94422327,82689822,3416322,126557832,92524943,1,614861,7309195,21584204,8364522,408,929,9491326,1505854,93728196,1,2578}

Returns: { }
{590835,88587,1,2916,63827008,4724030,1199785}

{590878,88615,122,2980,63827015,4724071,1199800}

{8948,71751,1,87467,1562,75,72253399}

{8956,71780,28,87473,1566,84,72253447}

"WBBWBWB"

{2,2,3,0,1,2,0,0,6,6,0,4,5,1,0,4,5,3,4,0,1}

{1,5,3,4,0,3,4,4,2,6,0,0,4,1,5,6,4,6,3,0,0}

{160363,4724130,31,63243556,565081,90406,63243529,63243508,73453226,14,5,63243514,59104409,6,4142055,134879045,59104416,73362868,63910008,6,565079}

Returns: { }
{86438061,3876,508550,4,917506154,9180785,122653,501525496,317245,476020,415895919,3529,346,704772152,6651,315,284534,190927969,901862,4642,49184001,28,1,4896858,33922,85978,258869463,4,323009,1,84793431,83,2978351,1,841934579,14,1,178719775,1,4,580284,79519389,1,979518,200085,1,1,1,1547163,1,8178569,1,582,94336129,1,1,3,33564771,22724126,1,2,1,99972034,1,8531,1,4396133,2271,871856,6360,1,2751120,10472966,66,1,9309,6861716,53,1,1,49,2976,135758294,534429,9,42662465,33062718,87498,4294728,50337,1,760036,97339207,148,614860222,57,35941,75260,17,83}

{86438346,4035,508558,9,917506160,9180982,122671,501525508,317796,476028,415896145,3708,346,704772171,6664,320,284660,190928306,901867,4670,49184155,30,27,4896942,33934,86059,258869501,5,323081,113,84793466,91,2978390,227,841934595,27,68,178720093,2,4,580532,79519418,131,979527,200087,42,9,323,1547327,59,8178580,83,597,94336341,38,8,224,33564891,22724244,36,3,10,99972491,143,8918,174,4396191,2341,872245,6360,7,2751371,10472995,71,6,9388,6861719,83,1,11,93,3109,135758315,534436,29,42662509,33063031,87785,4294731,50449,13,760149,97339260,190,614860329,75,35944,75360,59,87}

{1,1,282,1,1382459,1,3634,1300784,2203764,1,675156,85634967,7056794,730884,9587183,7336596,1,84780,183268,227299,8350989,2644528,34,1,31,41867398,3817,3711821,7185943,1,1,83109,776159,530245127,1,8627,1,21231,708249,887717690,84372,687,10,1,1,660,251,5,1,1,262854974,5902278,571,1,90,25,8949,765736,17074226,1,67986,5,31,27270677,1,1,6,157028,173658169,946285,23443653,954003,52366,5466394,491268,69156,9907386,3652432,3797001,89692948,7766113,89900,1,535,827681,570540,43694,50145,1,457347,18445512,78984074,54644632,1,761598,45,531304326,8631,1,7325917}

{1,21,282,14,1382578,6,3855,1300784,2203977,1,675247,85634974,7056893,730962,9587185,7336605,2,84808,183270,227337,8351027,2644563,64,173,33,41867525,3820,3711883,7185966,2,359,83162,776220,530245132,53,8627,1,21292,708361,887717896,84395,710,22,62,24,985,437,11,32,4,262854978,5902280,608,148,106,59,8966,765789,17074291,46,68014,37,244,27270695,228,7,35,157097,173658438,946304,23443694,954017,52711,5466395,491461,69163,9907473,3652460,3797049,89692976,7766131,90122,8,537,827689,570608,43711,50169,79,457377,18445731,78984437,54645030,22,761756,47,531304333,8638,4,7325921}

"BWWWWWWWWWBWWWBBWWBBWBWBWBWBBWWWBWBWWBBWWBBBWBWBWWWBWBBBBWBBWBBWBWBBWWWBWWWBWBBBBBWWBBWWWBWWBWBBBBWB"

{17,23,77,18,41,41,86,45,3,74,32,96,67,63,64,33,99,3,74,47,15,15,30,63,59,49,41,35,46,53,93,19,50,56,48,9,63,41,61,19,37,95,67,88,24,41,38,99,47,83,42,7,79,15,37,67,30,46,57,85,13,92,70,79,72,71,72,0,11,44,97,24,63,15,7,7,17,93,8,69,12,24,99,94,67,7,5,80,70,75,21,70,92,67,22,76,25,23,84,43,68,60,1,73,72,56,27,10,41,24,92,39,68,63,44,69,32,91,1,47,81,77,73,65,20,88,89,91,37,42,38,94,57,63,92,33,26,92,74,40,50,24,25,62,42,85,18,32,33,76,19,87,61,39,53,22,90,37,63,84,86,37,1,48,62,97,4,50,64,34,49,79,67,52,27,85,23,29,58,0,29,33,79,1,17,9,54,14,99,36,39,25,92,45,97,45,75,64,97,39,70,82,89,6,50,44,82,72,61,27,70,41,31,6,34,35,62,51,24,63,82,18,18,85,25,19,17,37,46,65,2,35,17,30,41,73,57,8,91,75,80,38,46,47,94,93,87,18,18,30,57,96,49,79,10,78,86,3,22,80,53,65,65,12,20,99,30,4,26,62,30,70,90,90,55,74,29,80,78,76,55,63,74,73,10,82,53,21,78,49,79,37,27,68,99,34,13,95,68,17,81,39,27,60,68,15,19,17,33,58,47,90,40,65,75,17,76,31,8,18,1,63,24,82,10,11,34,40,1,50,54,12,32,41,42,2,96,58,37,75,71,47,73,31,10,11,5,90,8,82,97,63,63,24,22,88,76,22,7,82,7,57,31,18,16,13,71,76,20,59,74,60,78,64,35,73,37,73,93,96,65,72,77,56,91,95,54,73,34,27,16,64,30,80,61,67,75,33,96,65,18,40,19,7,10,16,35,61,27,29,47,75,78,65,55,53,31,60,10,45,67,16,83,80,37,84,1,47,34,9,87,74,34,20,75,75,38,60,57,11,22,2,21,62,88,13,79,48,88,86,36,84,50,98,66,46,84,90,9,29,3,71,43,69,75,98,74,3,2,6,5,59,31,16,5,98,68,98,8,94,76,5,34,93,94,76,14,10,35,61,5,15,69,39,42,83,89,38,53,73}

{3,97,23,67,69,38,18,75,76,87,95,71,10,9,15,51,29,33,64,2,11,28,67,3,26,36,68,16,28,99,63,67,90,99,53,16,71,98,82,87,20,70,66,70,2,87,47,63,37,52,69,22,3,11,69,3,18,97,56,91,13,9,63,5,2,54,32,62,39,60,86,18,28,35,39,43,89,41,81,53,17,92,2,51,64,2,86,63,9,64,59,59,12,97,60,53,83,64,58,18,83,85,62,91,24,88,6,70,98,18,91,36,75,42,52,51,93,15,65,36,47,30,28,16,7,5,4,30,25,83,63,32,48,50,90,94,97,63,75,45,27,72,26,90,91,93,46,93,27,27,41,37,63,39,39,70,1,35,51,8,52,12,65,76,46,58,81,3,37,61,21,70,35,96,26,49,70,81,47,21,8,87,71,64,30,21,42,43,13,94,1,14,40,0,81,83,0,64,20,18,78,18,79,41,79,0,9,93,40,79,72,33,4,9,48,47,59,59,22,98,13,15,44,8,23,51,5,54,8,70,20,14,94,66,41,48,66,4,97,61,16,22,47,55,80,57,34,12,22,47,71,19,73,19,83,47,74,77,80,1,0,92,18,43,59,89,40,12,39,59,7,46,70,94,86,26,47,29,17,56,99,87,91,23,56,53,64,36,89,21,22,93,23,99,60,44,55,10,96,84,83,9,32,57,33,11,14,65,3,47,40,19,45,75,56,39,37,41,26,38,81,31,88,9,6,65,94,48,97,18,75,17,56,38,80,18,26,63,78,92,38,35,73,89,23,75,2,54,59,6,52,55,97,28,21,62,14,52,48,46,55,55,85,50,7,34,17,74,11,21,74,36,87,4,19,57,48,36,82,28,21,51,16,99,84,63,31,85,42,73,46,35,60,83,6,81,25,9,91,9,8,63,27,51,94,96,77,99,85,31,77,81,37,69,64,88,71,51,54,85,22,95,32,79,29,56,91,42,84,55,91,90,70,33,96,85,5,64,68,35,80,18,53,40,79,37,14,7,15,7,24,22,77,24,73,95,40,82,88,70,76,97,9,14,19,38,73,3,95,72,57,77,58,82,48,95,95,20,26,51,67,64,23,96,29,43,11,80,29,56,44,28,74,14,69,5,69,87,84,36}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {86438346, 1, 3965, 11, 508558, 282, 5, 7, 917506159, 1382519, 9180884, 4, 122669, 3745, 501525508, 1300784, 317565, 2203871, 476027, 1, 415896056, 675201, 3620, 85634970, 346, 7056892, 704772171, 730923, 6659, 9587184, 316, 7336601, 284597, 1, 190928152, 84794, 901866, 183269, 4651, 227318, 49184096, 8351008, 29, 2644546, 13, 49, 4896860, 87, 33928, 32, 85996, 41867461, 258869483, 3819, 5, 3711852, 323046, 7185955, 57, 1, 84793434, 180, 85, 83135, 2978360, 776189, 114, 530245130, 841934588, 27, 27, 8627, 67, 1, 178719940, 21261, 2, 708305, 4, 887717896, 580411, 84383, 79519406, 699, 67, 16, 979521, 32, 200086, 12, 40, 823, 6, 344, 163, 8, 1547249, 17, 30, 2, 8178576, 262854976, 42, 5902279, 585, 589, 94336267, 74, 25, 98, 5, 42, 114, 8957, 33564851, 765763, 22724211, 17074258, 14, 23, 2, 68000, 8, 21, 99972354, 137, 80, 27270686, 8804, 115, 88, 4, 4396176, 21, 2306, 157063, 872110, 173658304, 6360, 946304, 3, 23443673, 2751251, 954010, 10472993, 52539, 69, 5466395, 2, 491364, 9349, 69160, 6861718, 9907430, 69, 3652446, 1, 3797048, 5, 89692962, 77, 7766122, 2998, 90011, 135758305, 5, 534432, 536, 22, 827685, 42662475, 570574, 33062880, 43702, 87653, 50157, 4294728, 40, 50403, 457362, 2, 18445622, 760104, 78984256, 97339246, 54644831, 179, 11, 614860250, 761677, 67, 46, 35941, 531304330, 75313, 8634, 39, 3, 86, 7325919 }
{305327918,5875,5614,70,1,93354923,27941993,1,350,6272,28,83020839,91989,69308,1,7,44405,832,9524,6117164,227,944613551,3861,62798703,562,174,9,50980960,7483,299,1,2791802,28795199,8301,356,88,1,1,41792,140,87881298,564743,471,7487,1,78865687,615419841,87807128,29295,1,1,1,1,1,83700800,303199085,66553,98732,20447,158868,5352454,87,1,823,93409084,91,1,90,594898063,194,297545,502894,25960,1,690989,96254683,24829,43866,9,7,1,751,1,7,5,1,496731,829612,2988,1,51434,537260091,1,33698319,1,1,1,4,36966990,5854369}

{305327987,5893,5722,155,196,93355129,27942261,3,393,6285,263,83020841,92067,69441,4,20,44514,1300,9527,6117382,227,944613798,4040,62798705,562,195,13,50980966,7485,313,25,2792043,28795252,8302,642,538,100,54,41805,395,87881301,564749,525,7544,273,78865807,615419843,87807273,29390,3,2,208,18,40,83700812,303199147,66859,99117,20473,159182,5352665,214,1,829,93409085,91,179,121,594898123,411,297555,502969,25976,23,691013,96255024,25053,43871,41,9,92,759,35,10,5,7,497018,829628,3002,25,51499,537260091,118,33698577,30,1,77,13,36966994,5854596}

{99416571,1,107,98303,6,186620,99,1,628505131,149495112,1,13,1427757,85893490,1,4191,1,13,635448,539412,1,5649,31340,1,36724328,81169169,78,3,1558,24435,5,302111911,53579237,21996,45411,625,54,578156,1,437229776,5306,32,70583,72754,23581,1,1,2665,5954470,5,1,57238,937951,11342,250839,3424,1,6746,1,10,234113,1,12,516,23505,85889999,1017152,3863,36315,19,3868534,42113555,1,57073744,928620132,99141831,1,358,1953,10,5433,69,5156721,29196,531747197,8189599,936574,9339,3320076,1378026,814111,100,6829,849,33622,6605828,5843,19436657,5,6}

{99416693,82,119,98344,10,186641,217,214,628505137,149495118,316,110,1428261,85893709,17,4201,28,21,635474,539473,45,5723,31343,11,36724333,81169171,108,53,1561,24487,42,302111938,53579239,22133,45621,666,64,578157,3,437229801,5326,41,70738,72779,23590,45,2,2672,5954590,10,38,57417,937972,11381,250877,3498,6,6766,79,258,234114,34,14,522,23868,85890005,1017158,3955,36358,21,3868561,42113701,29,57073754,928620137,99142011,10,423,2309,10,5469,181,5156898,29198,531747295,8189606,936735,9687,3320079,1378142,814194,241,6841,982,33624,6606069,6298,19436773,157,7}

"WBWWWBBWWBWBBWBWBWBWWBBWBBWWWWBWBBWBWWWBBWBBWBBBBBWBWBWBBWBWBWBWBBBBBWWBBBWBBBBBBWWWBWWWBWWBBBBWBBWW"

{86,77,6,55,64,89,60,41,1,77,96,64,7,36,70,44,28,89,15,28,94,49,28,55,20,73,2,66,44,55,32,13,83,44,85,54,47,17,33,25,66,94,56,79,40,62,25,46,38,77,1,78,2,9,80,25,9,2,91,47,33,92,91,74,80,86,21,75,87,25,33,77,74,39,29,76,44,94,2,94,61,54,31,27,15,5,71,81,50,35,16,82,72,24,61,36,77,55,32,26,68,30,34,30,69,87,60,7,88,11,58,59,55,35,1,26,95,20,72,62,49,71,36,71,96,9,8,61,56,60,50,34,18,36,47,70,57,61,87,23,14,0,50,31,6,25,41,93,65,9,33,47,20,50,60,60,72,48,97,88,32,1,33,80,5,37,78,45,72,75,12,59,24,28,25,2,97,24,3,53,11,65,32,95,5,63,56,36,86,0,31,7,39,52,26,24,73,96,5,46,12,12,14,27,56,42,11,88,84,49,12,91,40,23,90,96,32,95,25,74,29,77,36,65,96,77,95,12,99,50,58,72,81,10,74,48,55,35,80,9,90,3,63,44,3,13,97,24,6,5,59,87,92,8,46,31,83,24,85,58,30,97,11,73,68,70,96,82,55,86,61,4,97,31,92,53,86,79,29,15,22,25,10,29,99,23,21,72,90,52,7,13,2,5,77,60,98,15,50,62,7,96,67,56,12,75,26,1,6,36,56,43,39,35,74,93,5,47,52,7,84,72,55,32,47,53,13,65,24,4,85,57,39,98,11,11,57,34,38,90,64,43,19,67,91,24,18,48,14,20,92,8,49,57,30,3,64,4,39,10,32,41,45,19,48,25,35,30,22,87,38,60,80,46,73,98,45,33,72,29,98,97,78,27,22,33,44,9,39,47,50,7,23,24,8,40,71,4,72,59,69,42,69,38,18,53,81,90,68,30,22,43,98,11,30,28,31,94,25,61,57,48,34,68,96,78,69,61,84,51,30,24,71,48,55,63,55,26,10,23,85,42,96,62,30,31,88,95,62,64,68,75,88,13,0,42,94,98,83,84,60,29,74,84,15,7,59,83,58,84,2,31,8,39,68,9,44,92,27,91,20,71,80,3,5,5,23,39,28,37,40,22,8,9,98,0,57,12,39,12}

{96,60,57,11,31,72,0,4,84,81,72,84,16,39,39,42,54,13,60,53,73,78,85,0,51,84,8,7,21,82,48,97,29,42,32,14,85,49,63,77,58,9,80,77,30,46,68,47,29,53,69,71,22,77,11,87,39,58,54,68,87,27,37,6,44,76,11,13,18,82,57,94,83,45,34,76,38,84,66,0,45,50,62,28,59,94,85,40,98,90,77,17,52,84,38,47,22,15,44,4,47,10,13,31,22,68,60,85,20,68,77,2,3,24,3,4,8,42,89,78,65,66,89,73,46,58,13,2,47,24,76,52,72,41,50,96,72,94,97,60,6,10,30,18,82,97,22,35,8,97,88,11,81,43,49,70,60,76,80,85,47,49,36,45,26,62,15,54,64,96,86,2,5,0,44,41,55,92,85,75,84,88,76,92,41,69,21,43,1,39,84,38,17,48,55,29,59,60,47,74,43,10,24,95,40,79,94,74,3,75,79,42,29,51,77,72,77,79,12,50,25,9,99,33,23,7,15,91,56,53,43,83,62,32,16,94,99,85,98,82,38,83,96,58,70,1,38,11,68,11,1,87,54,27,37,2,16,28,88,10,25,6,4,44,21,19,75,76,51,96,25,49,68,0,37,65,60,17,81,61,62,44,68,17,76,65,45,38,74,69,93,31,96,77,30,93,1,85,31,50,24,72,13,88,53,1,89,79,89,39,3,5,48,30,22,31,81,7,69,17,42,39,80,40,62,44,83,83,91,88,61,96,81,5,37,53,42,69,44,68,47,45,67,66,9,50,45,6,53,81,96,48,54,33,11,0,75,1,90,52,61,84,5,15,96,33,4,20,27,70,66,24,53,39,79,42,14,92,87,11,77,33,55,21,73,84,35,4,35,93,26,27,3,64,5,77,54,37,3,43,70,66,63,40,44,31,51,34,12,63,26,63,92,44,79,0,82,14,66,19,90,94,12,15,20,40,35,91,84,34,11,79,28,20,23,86,57,48,96,38,66,99,91,57,72,15,24,49,7,80,4,93,63,74,11,47,74,29,29,85,83,93,91,19,94,85,76,49,23,66,90,94,37,11,7,41,25,20,8,4,70,98,0,1,85,9,54,10,41,60,15,83,54,56,18,4,4,39,68,69}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {305327926, 99416632, 5889, 42, 5669, 113, 132, 98324, 100, 8, 93355034, 186631, 27942171, 158, 1, 107, 372, 628505134, 6282, 149495115, 106, 158, 83020841, 62, 92006, 1428009, 69332, 85893600, 2, 9, 14, 4196, 44473, 14, 1069, 17, 9526, 635461, 6117290, 539442, 227, 45, 944613687, 5686, 3951, 31342, 62798704, 6, 562, 36724333, 185, 81169170, 11, 93, 50980966, 28, 7484, 1560, 311, 24461, 7, 24, 2791924, 302111924, 28795227, 53579238, 8302, 22065, 536, 45516, 314, 645, 55, 59, 28, 578156, 41800, 2, 278, 437229789, 87881299, 5316, 564745, 37, 494, 70661, 7525, 72766, 141, 23585, 78865754, 23, 615419842, 1, 87807202, 2669, 29331, 5954530, 1, 8, 2, 20, 118, 57327, 8, 937962, 21, 11362, 83700806, 250858, 303199110, 3461, 66706, 3, 98926, 6756, 20459, 40, 159058, 134, 5352560, 234113, 164, 18, 1, 14, 827, 519, 93409084, 23687, 91, 85890004, 92, 1017155, 104, 3909, 594898101, 36336, 304, 20, 297548, 3868548, 502897, 42113628, 25962, 15, 16, 57073749, 691002, 928620134, 96254934, 99141921, 24942, 5, 43869, 390, 26, 2131, 9, 10, 56, 5451, 751, 125, 15, 5156809, 9, 29197, 5, 531747294, 4, 8189602, 496937, 936655, 829615, 9513, 2996, 3320077, 16, 1378084, 51458, 814152, 537260091, 240, 64, 6835, 33698510, 915, 16, 33623, 1, 6606069, 2, 6071, 10, 19436715, 36966991, 81, 5854483, 7 }
{850965,29441757,60656840,1,969366002,241,3501,1,1,8,88,3441,50594,1,91381753,1,602369,1,7981,83863,56230,1,37101,7667,9197404,2708700,13724701,36,448,119025,281,931,5285,1,1,2282203,1402,53704639,1,347645783,1,3,33727,3246,86054,32148,13030,5163,67690,623094,189959541,77630267,7025,1,34418205,1,148,3811215,383991,481782590,325,1,9583,991,771,931433,6625,45543534,2978,1,2365,51,1,237,4983517,115583294,1,59409,267,1,8830276,16669,62712,1,7650,1,512820,68,48108,1,2,1,554522,20818,44958,1,24026,62121503,5149155,25220475}

{851015,29442111,60656846,11,969366040,253,3636,19,25,32,92,3446,50706,253,91382021,54,602369,22,7996,84180,56243,343,37348,7793,9197685,2708730,13725035,68,450,119072,290,969,5304,5,1,2282216,1419,53704666,244,347646054,13,27,34005,3247,86056,32504,13039,5182,67710,623111,189959990,77630459,7064,1,34418558,45,153,3811441,383996,481782776,326,1,9991,1034,1063,931597,6901,45543538,3005,34,2398,183,11,237,4983558,115583533,48,59591,284,1,8830277,16752,62812,40,7863,6,513050,203,48142,2,6,19,554546,20904,44959,6,24250,62121769,5149209,25220503}

{61684773,57,6038975,98266,1,1,855578,4764,1,26388,1,14,14,5661,1,8206,783,86,1,9486,7,969,96037957,3531,26064071,1,8,68,56270,80107938,5981800,45716,77,1,1,983811263,49106,8035,1,1,1,44,76689,1,72223,395836384,1,1,1769,311906076,983,1051,1,197,1,27724607,706855,1,605539685,51486,882,61,401,400091,65858,135792973,1,1,1,1,5568804,19142004,1,1,3311,8285884,1648685,579,7418,1,3780659,1,272749,5864,10010,3343961,1,3,45,860629377,33597,1,768,4,443,27,4552,98496706,1840374,1}

{61684795,72,6038986,98695,1,155,855584,5003,82,26469,57,62,189,5665,1,8592,793,91,6,9548,25,992,96038028,3812,26064072,71,34,430,56288,80107938,5981806,45737,109,6,18,983811430,49127,8045,66,9,46,87,77038,15,72243,395836404,8,10,2141,311906169,1002,1138,2,261,9,27724612,706953,9,605539690,51491,893,234,645,400096,65869,135793255,2,9,2,307,5568809,19142269,20,375,3325,8286092,1648686,579,7420,4,3780670,21,272774,5867,10080,3344099,3,3,64,860629618,33649,193,817,7,887,28,4555,98496706,1840374,1}

"WBWBBBWWWBWBBWBWBWBBWWBBBWBWWWWBWWWWWBBWBWWBWWWWWWBWBBBBBBBBBBBBWWBBBWBBBBBWWWWWBBBBWBWBBWWWBBBWWBBB"

{6,99,72,49,78,61,2,65,46,58,64,42,21,95,6,83,82,6,23,58,70,36,36,40,33,59,5,78,28,0,69,41,36,77,83,70,30,74,88,39,24,87,30,4,13,6,81,75,62,95,84,0,57,5,63,81,3,5,57,19,17,68,89,81,9,91,44,21,86,25,0,75,90,60,92,43,69,28,51,85,28,82,12,55,91,91,88,92,37,21,59,65,21,22,12,20,98,79,17,10,39,29,65,97,74,43,15,9,91,1,7,61,46,49,82,44,37,20,68,74,78,7,19,79,99,97,35,0,82,12,62,31,53,8,62,93,96,81,59,64,38,53,16,54,16,7,62,10,18,26,82,84,56,30,76,46,13,39,11,53,28,19,17,51,88,54,7,86,2,39,81,37,37,48,22,60,10,41,91,40,93,59,38,39,76,74,69,47,50,58,9,19,79,72,83,30,7,21,29,1,10,56,57,1,51,3,38,93,31,15,47,64,56,26,48,73,93,21,68,12,26,64,26,91,50,59,40,45,53,53,86,80,86,3,21,51,41,43,25,29,69,83,94,34,77,34,25,89,82,15,47,88,47,6,14,48,5,62,63,37,46,21,1,78,64,61,34,78,90,92,56,31,51,80,95,58,63,30,5,66,77,33,73,95,94,34,12,58,69,48,66,22,28,88,1,87,30,78,73,59,20,27,56,62,79,38,66,82,57,80,0,2,34,19,23,39,73,28,33,52,89,42,51,58,73,32,19,60,77,77,81,64,35,37,39,19,17,72,70,38,19,73,83,61,73,98,13,7,31,85,81,62,77,38,57,85,7,91,0,56,5,73,23,34,24,7,4,85,64,76,13,81,76,28,93,25,50,59,89,54,88,16,55,14,91,21,79,8,71,76,41,67,3,55,61,72,67,28,90,79,6,18,26,32,65,61,48,12,42,94,96,51,27,9,68,79,41,54,11,99,22,41,24,47,41,23,24,9,8,18,1,70,63,93,43,2,49,66,86,28,96,88,36,95,33,60,81,79,75,26,70,89,40,25,55,37,48,82,27,91,14,3,61,48,76,85,40,7,2,13,27,7,61,34,93,77,17,79,6,20,22,13,65,33,3,15,18,26,84,70,65,81,88,33,41,42,33,47,77,46}

{60,52,96,84,41,0,11,1,56,98,21,83,9,46,20,48,59,62,32,42,15,70,33,99,59,3,39,42,27,29,46,74,70,57,9,9,15,64,21,0,11,96,2,28,79,21,62,11,40,79,51,90,31,4,18,75,78,14,59,12,39,60,0,84,68,37,6,42,26,29,37,98,87,93,87,6,22,90,54,43,94,27,71,74,41,49,82,33,39,92,87,49,74,85,70,61,63,89,21,56,41,59,23,40,93,51,94,6,55,35,43,66,32,3,30,74,44,49,96,10,95,54,13,63,19,68,94,9,31,11,98,85,79,91,58,14,89,24,82,41,55,2,0,95,79,24,32,87,53,11,37,52,33,43,17,24,36,22,56,69,98,2,74,31,7,65,8,64,66,6,47,42,68,26,21,78,59,77,77,75,49,91,78,32,16,45,96,10,9,90,77,57,60,88,39,93,50,60,62,89,18,56,34,54,60,36,98,41,73,65,5,60,60,75,9,54,24,90,73,52,99,88,31,61,7,62,15,60,90,47,7,69,15,59,74,52,2,72,51,59,54,61,22,85,13,52,60,31,37,67,47,71,13,59,5,23,11,6,70,64,85,10,61,31,84,9,57,16,1,52,93,52,28,2,5,27,12,98,71,1,20,50,76,62,72,89,72,34,84,67,96,93,47,67,31,45,31,41,1,88,48,7,10,94,46,28,16,26,14,96,95,38,70,85,3,89,98,84,62,48,11,67,26,6,76,10,69,85,54,79,22,96,30,51,76,97,14,61,19,54,65,30,63,23,31,41,46,12,31,49,83,85,17,28,53,99,52,22,22,45,95,63,41,71,14,24,85,64,8,29,6,65,69,63,63,52,55,96,89,97,86,18,46,15,4,35,79,33,62,63,26,69,21,92,75,99,74,78,7,87,83,39,10,17,85,37,22,49,39,58,62,43,87,3,55,34,60,24,10,92,26,4,21,64,91,67,71,90,35,73,47,18,99,17,42,57,35,72,99,56,71,99,26,75,30,49,88,42,47,77,59,65,96,90,26,19,18,65,4,42,33,69,18,57,61,73,96,89,51,23,88,44,18,37,6,66,4,17,55,90,72,95,97,19,55,65,72,30,38,62,85,66,37,65,9,80,80,5,59,2}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {850998, 61684784, 29441938, 65, 60656841, 6038981, 5, 98480, 969366040, 1, 249, 78, 3571, 855581, 8, 4884, 17, 41, 24, 26429, 89, 29, 3443, 38, 50619, 102, 127, 5663, 91382020, 1, 35, 8399, 602369, 792, 14, 88, 7989, 4, 84024, 9517, 56234, 16, 174, 980, 37241, 96037992, 7681, 3672, 9197545, 26064072, 2708704, 36, 13724870, 21, 57, 249, 449, 56279, 119072, 80107938, 287, 5981803, 958, 45727, 5289, 93, 3, 3, 1, 17, 2282211, 983811347, 1409, 49117, 53704655, 8040, 146, 33, 347645921, 5, 11, 24, 6, 66, 33831, 76863, 3247, 8, 86055, 72233, 32334, 395836394, 13035, 5, 5177, 5, 67695, 1955, 623099, 311906123, 189959771, 992, 77630398, 1094, 7045, 2, 1, 260, 34418386, 5, 24, 27724609, 151, 706904, 3811332, 5, 383994, 605539687, 481782683, 51488, 325, 888, 1, 234, 9868, 523, 1014, 400093, 920, 65864, 931456, 135793114, 6763, 2, 45543534, 5, 2992, 1, 14, 154, 2383, 5568806, 51, 19142136, 2, 11, 237, 374, 4983539, 3318, 115583428, 8285988, 25, 1648685, 59591, 579, 277, 7419, 1, 3, 8830276, 3780665, 16720, 11, 62774, 272761, 21, 5866, 7757, 10045, 5, 3344030, 512936, 2, 202, 3, 48132, 55, 2, 860629498, 5, 33623, 7, 97, 554522, 793, 20862, 5, 44958, 665, 4, 28, 24139, 4553, 62121769, 98496706, 5149209, 1840374, 25220502, 1 }
{1,3630523,665,127075437,930862355,699,1579,8490,5269,711533,1,84833612,1,9451322,1,1,1,1,1,11,88787,2113485,472832,75588177,97000875,63,20998,10,5,66499,11375782,2703,643707,1,833837312,408721118,323,880279,235213169,475107704,735516640,6492772,59,1,964474,549810675,1,377,90288776,1703936,1,33,549867,161234,88576,4320284,4480,215696,4163,731059832,203,8844,5139193,1,79534596,5908,5618812,420,62,1062985,69415644,27219,30726539,536442883,27744904,1,1,576,76474381,92130,79,53530869,6643205,7,606117,1,3959,1,461,902,283601815,18112858,4673934,46,1,66341706,115813767,6261367,1,988}

{23,3630539,755,127075439,930862738,721,1608,8493,5273,711542,2,84833627,60,9451348,121,114,9,5,17,391,88801,2113498,472895,75588211,97000896,289,21015,31,8,66628,11375799,2717,643859,3,833837583,408721139,373,880326,235213501,475107723,735516730,6492808,74,132,964499,549810688,42,474,90288932,1703981,35,67,550029,161252,88593,4320311,4503,215709,4187,731059844,203,8915,5139562,3,79534603,5920,5618867,493,442,1063077,69415827,27421,30726548,536442888,27744906,29,429,580,76474423,92202,101,53530872,6643209,73,606174,9,3963,6,463,1162,283601829,18112909,4674385,97,110,66341729,115813776,6261439,27,1069}

{896768,71407419,302,353076210,1,1,301953,3932,164139,149803,2735,986333,8,8359,147,539,6,63,104865,5,69,5145109,6491,63068631,144702907,521,617614916,7391,17109,78,21644,1,59598598,3945215,109334422,1,132,3367,510,19319469,1,192,7049,652,30,59,1,1257,706,29592108,4321665,69,1,1,1851,6,30537,1455707,7,12262045,9042,334,73155,24658,944,8185,1,14,1198442,73382,80741,86,10,245827677,52,924402,44468,3566,34332,321,1,89281397,954350,14795,37890,999725,75236,794385044,1,44071857,369057151,64705,30553815,977,483130,1,84416,44913,838515864,61106120}

{896895,71407486,302,353076283,2,7,301955,4296,164513,150076,2772,986342,143,8410,176,613,76,78,105196,12,80,5145131,6561,63068671,144702924,611,617615118,7394,17296,79,21644,61,59598746,3945411,109334565,16,169,3410,584,19319943,13,260,7061,659,50,60,2,1314,712,29592402,4321668,93,55,7,1866,8,30564,1455761,13,12262046,9050,394,73293,24659,1104,8242,21,18,1198482,73479,80750,100,10,245827713,56,924463,44816,3609,34337,546,23,89281614,954455,14798,37899,1000173,75255,794385064,209,44071865,369057163,64706,30553863,998,483130,3,84429,45035,838515866,61106152}

"WWWBBBBBWBBWWBBWWBBWWWWBWBWWBBBWBBBWWWBWWWWBWBBWWBBWBBBBBBBWBWWWBWWWWWWWBBWBWWBWWBBWBBBWWWBBBWBBBBBB"

{30,28,86,60,86,98,93,81,56,94,96,13,97,18,88,84,44,25,51,67,93,59,67,68,11,20,2,11,74,42,62,90,82,25,40,67,94,8,40,26,24,44,60,27,43,73,15,71,95,98,40,61,14,97,84,52,59,55,59,67,2,66,9,55,86,47,75,50,26,53,3,89,77,37,88,71,40,83,24,28,63,37,19,68,28,49,44,40,60,65,63,65,75,32,30,14,93,77,2,63,49,58,84,77,11,74,96,83,23,41,47,29,17,71,6,87,14,91,81,57,14,93,72,7,46,40,53,42,78,25,1,80,60,76,90,69,93,97,1,86,64,95,69,82,72,35,92,8,84,58,65,16,86,56,83,62,62,2,48,52,78,88,76,6,30,42,96,3,18,9,61,91,75,26,89,97,42,11,52,72,13,83,85,48,4,21,83,11,20,66,99,66,37,2,2,34,60,15,98,16,81,52,76,13,98,6,84,7,80,44,88,39,90,97,48,38,38,76,32,19,47,84,16,68,84,16,1,62,12,56,79,1,24,1,10,84,41,49,41,68,80,39,72,22,28,91,73,91,38,38,43,68,89,49,1,2,59,12,64,96,9,89,39,92,58,13,24,88,33,83,23,23,65,48,48,93,96,20,86,12,11,81,33,53,26,61,32,74,56,31,98,79,52,84,42,18,52,88,48,34,29,59,55,50,33,0,7,24,15,11,69,1,92,72,54,25,93,28,95,36,53,57,7,71,5,13,12,62,5,25,63,15,12,37,74,38,58,43,68,25,87,49,36,7,72,2,39,18,52,95,61,62,22,50,4,31,98,24,27,78,16,97,48,1,22,40,21,82,69,20,31,42,23,73,51,58,53,10,6,2,40,44,65,54,27,78,92,70,51,30,48,61,49,68,68,19,39,74,90,93,37,99,99,41,43,83,61,41,84,63,79,8,55,71,47,98,58,16,10,81,7,69,36,52,42,53,79,88,90,11,99,35,44,76,46,83,2,63,85,60,98,49,47,62,41,38,13,11,22,34,30,66,99,32,5,79,81,44,85,34,25,8,10,3,43,96,73,3,85,44,96,1,37,90,51,92,67,15,82,89,72,32,56,82,0,86,52,33,74,96,18,1,82,49,28,17,53,25,1,72}

{8,29,32,9,52,37,71,55,77,76,85,1,52,91,3,26,98,54,38,41,57,21,47,5,44,51,76,28,38,47,90,65,9,54,44,15,18,39,90,36,42,77,82,44,90,15,75,6,13,83,14,53,68,52,4,77,4,87,93,80,54,70,70,22,72,57,44,52,38,97,37,26,15,33,69,71,9,4,27,45,34,4,0,85,61,50,31,74,81,1,30,80,1,29,12,49,80,50,66,94,36,66,67,53,38,41,66,59,69,69,0,35,30,73,17,83,81,60,67,43,12,86,40,14,47,65,85,33,28,38,52,48,59,45,16,31,74,96,46,86,19,45,15,74,76,60,11,79,21,33,73,26,53,6,80,76,19,30,38,74,43,63,21,81,89,73,35,90,47,36,19,87,75,26,53,25,73,80,4,48,57,58,5,5,70,23,2,14,21,98,42,86,96,34,56,95,46,87,9,5,30,43,8,63,60,96,52,55,31,56,94,31,55,53,77,15,89,49,9,44,26,74,22,37,30,23,27,24,1,95,65,84,75,89,65,22,37,84,84,75,39,36,83,84,98,92,51,48,49,11,89,87,25,6,38,16,92,65,7,17,1,16,93,44,49,0,24,64,57,35,54,85,72,65,95,55,86,18,55,36,22,80,60,99,98,25,42,82,47,25,15,20,64,48,78,20,66,76,18,33,92,66,64,37,13,7,97,28,77,9,54,89,95,21,48,8,58,28,64,17,84,92,88,9,59,59,27,2,88,56,94,46,6,86,79,79,8,78,56,17,16,75,93,24,53,0,25,48,39,89,89,30,28,49,2,40,90,12,6,44,68,43,83,31,54,98,23,60,6,98,16,40,97,24,83,61,8,42,54,84,72,32,36,96,10,16,81,66,28,82,11,22,41,84,15,20,6,27,34,94,30,58,95,94,34,17,9,80,55,63,92,62,86,97,86,62,9,91,32,97,70,49,93,28,50,17,99,9,34,92,65,98,12,96,88,55,55,76,17,78,97,51,37,96,10,54,62,53,9,17,55,42,78,10,31,32,65,37,21,22,52,8,41,80,73,10,61,69,71,62,3,99,67,79,99,67,42,30,12,14,74,98,14,15,56,51,90,49,33,21,24,24,6,7,97,24,84,36,18,23}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {4, 896832, 3630538, 71407452, 754, 302, 127075439, 353076246, 930862547, 2, 711, 4, 1595, 301954, 8491, 4114, 5270, 164326, 711534, 149939, 2, 2753, 84833622, 986338, 9, 75, 9451323, 8384, 74, 161, 76, 576, 7, 41, 4, 71, 12, 105031, 204, 8, 88795, 75, 2113488, 5145120, 472860, 6526, 75588192, 63068651, 97000887, 144702915, 199, 566, 21013, 617615017, 21, 7393, 5, 17202, 66564, 79, 11375799, 21644, 2715, 31, 643785, 59598672, 2, 3945313, 833837511, 109334494, 408721131, 9, 354, 150, 880304, 3388, 235213354, 547, 475107714, 19319706, 735516687, 7, 6492774, 226, 67, 7055, 68, 655, 964488, 40, 549810682, 59, 22, 1, 445, 1285, 90288857, 709, 1703948, 29592255, 18, 4321667, 55, 81, 549949, 28, 161243, 4, 88585, 1858, 4320298, 7, 4490, 30551, 215709, 1455734, 4177, 10, 731059838, 12262046, 203, 9050, 8884, 364, 5139400, 73224, 2, 24658, 79534599, 1024, 5916, 8214, 5618843, 11, 458, 16, 262, 1198462, 1063029, 73431, 69415739, 80745, 27325, 93, 30726547, 10, 536442886, 245827695, 27744904, 54, 3, 924432, 254, 44642, 577, 3587, 76474404, 34335, 92170, 434, 90, 12, 53530872, 89281505, 6643205, 954402, 41, 14797, 606149, 37894, 8, 999949, 3962, 75245, 6, 794385054, 463, 105, 1035, 44071861, 283601822, 369057157, 18112884, 64705, 4674168, 30553839, 78, 988, 109, 483130, 66341717, 2, 115813770, 84423, 6261379, 44974, 14, 838515865, 1037, 61106136 }
{1,4,7102522,55202385,403,27986,1,8453374,77177,1,3568584,29643160,4108,453,192,2538,377,25959,91,334549319,1,2126234,11509,476429,762224,392363,418556,7812124,55200530,36025886,530862,391,51830,1,64,810028014,1908,6959,823,524,4,404488830,990400,1,1,49870210,1,11,18757,11,65,65,7561,80,9178,465,292,49,7225867,84216587,22712054,517711571,2911,9211465,6051819,2253554,677,814474786,1,184802,422,569,572,89057224,1,27,27989,3252157,143118413,488337530,113805,1,41884,1,631449755,827700,98704771,82001,56529095,1,701,103,93224336,872922,1,281030421,1,532,2445,2392}

{10,9,7102647,55202421,692,28041,64,8453555,77372,7,3568591,29643162,4127,600,246,2539,547,25959,94,334549503,92,2126528,11516,476443,762244,392364,418561,7812140,55200794,36026106,530882,542,51845,79,500,810028033,1911,6977,827,536,76,404488858,990456,45,267,49870213,300,31,18818,27,68,65,7677,125,9180,712,448,62,7226007,84216587,22712066,517711574,2922,9211467,6052103,2253599,778,814475017,1,184821,603,600,587,89057463,8,32,28114,3252222,143118416,488337530,113805,7,42295,2,631449802,827749,98704843,82001,56529220,6,706,127,93224367,872927,5,281030462,12,775,2456,2395}

{966,5947919,1,9671543,5930323,5815,32633403,357307230,13092,891249,7,14972928,68337436,5927,1,1,976,1,8761,80811,5,1,994434975,822769765,535577428,56137,347057,53,1,1,3866464,1,299,890,72296524,835,1,4,1,74857768,1575013,1,1138,4483695,915849770,432181,62841037,922,12360443,906,786204214,784085961,802,587150205,10,96196,383893121,1,67902388,892511161,5139068,89587,8534,1,46516471,1,59493664,577022,1,9077152,141763,7674,304,715563,73218,7,66,8403,66,7065834,8322,9006180,5,983539271,82,1,5,60,149,76,4,35751982,26,4483,77368,84810226,561949459,1,43,690}

{969,5948000,150,9671931,5930334,5818,32633623,357307235,13108,891315,239,14973184,68337436,5927,4,233,1020,5,8779,81033,291,249,994435113,822769784,535577566,56162,347366,57,1,381,3866500,5,367,924,72296697,836,46,30,16,74858196,1575284,1,1142,4483751,915849810,432354,62841312,1136,12360445,909,786204218,784085996,824,587150240,193,96337,383893266,27,67902389,892511165,5139414,89608,8538,454,46516685,43,59493678,577052,58,9077178,141764,7887,305,715918,73250,11,78,8469,112,7065882,8421,9006334,6,983539598,434,64,194,106,149,93,11,35752047,37,4516,77456,84810471,561949523,21,46,741}

"BBWWWWBBWBBWBBWWBWWWWBBWWBWBBBWBBBBBWBWWWBBWWWBWWBWBBWBWBWBWWBWBWWBBWWWBBBBWWWBWWBWBWWBWBBBBWBBWWWBB"

{62,5,53,82,89,95,69,52,66,88,95,58,78,60,76,84,3,89,78,99,56,37,50,22,69,6,46,97,4,62,18,91,72,51,42,26,51,54,79,35,54,64,19,77,99,96,13,30,25,11,11,71,75,84,84,61,88,76,78,67,32,50,59,7,63,67,2,99,46,56,67,29,32,82,63,77,97,90,57,83,18,84,51,15,93,20,85,10,37,41,3,43,71,16,2,70,52,21,94,26,48,78,44,69,56,50,88,78,4,60,50,77,28,30,39,47,52,60,12,48,7,29,59,61,48,84,94,84,1,58,18,97,12,87,74,24,64,38,40,0,68,69,27,30,74,64,91,6,98,92,87,51,99,32,24,49,71,41,30,50,91,75,18,12,47,11,39,87,32,80,17,35,19,34,66,52,91,11,0,88,95,25,78,50,66,21,65,14,19,0,86,35,27,23,59,77,26,96,72,36,19,58,7,69,58,98,15,42,85,61,96,95,12,55,45,46,39,62,93,71,59,71,52,35,71,91,91,39,99,2,83,0,97,43,96,80,57,59,7,47,56,44,22,20,10,54,69,89,22,15,8,48,46,34,2,66,86,10,15,2,50,31,46,2,18,62,99,53,1,24,0,32,83,14,3,48,69,19,73,52,16,36,7,82,25,51,76,8,95,2,86,80,92,39,18,41,51,60,82,61,87,49,44,74,95,3,61,43,48,61,81,10,70,49,32,36,97,91,64,4,48,17,32,4,41,38,56,76,37,58,84,62,96,67,32,30,89,60,67,48,51,6,38,99,80,32,16,65,43,67,80,15,55,95,25,23,30,11,69,0,71,91,89,78,81,1,14,73,56,66,30,32,76,85,88,56,5,32,79,95,98,49,58,4,80,72,72,82,8,26,94,5,7,83,82,30,38,66,17,36,1,56,6,62,83,66,28,58,68,87,91,35,23,1,41,54,12,79,20,50,18,53,70,99,44,37,97,91,24,22,33,39,0,38,48,16,80,75,1,47,28,81,19,62,66,80,97,32,93,85,65,1,81,28,74,17,8,55,37,27,80,49,40,65,28,3,55,15,79,95,11,73,85,9,31,20,40,68,35,74,90,79,54,45,88,39,54,65,7,32,71,84,5,0,45,30,60,68,21,29}

{41,45,21,60,52,72,80,8,28,63,72,79,47,61,25,31,47,87,63,18,3,33,40,48,0,25,27,98,70,9,2,63,38,85,74,47,96,18,67,18,15,52,42,97,46,60,48,2,80,13,17,8,59,69,46,75,85,29,87,94,18,97,9,34,7,23,36,84,87,52,59,51,11,84,79,24,95,46,46,76,77,67,39,30,93,42,26,79,23,37,91,61,79,19,7,89,66,14,17,29,81,98,67,47,68,63,60,99,59,82,56,82,47,22,24,16,76,22,91,64,15,69,65,93,25,37,83,14,65,42,64,58,95,80,24,94,49,40,98,27,45,23,53,6,31,95,33,56,36,96,86,84,42,88,44,68,21,50,43,85,55,36,71,3,3,6,23,31,49,43,81,3,10,48,79,83,54,3,33,11,54,41,54,4,26,52,0,82,29,5,37,41,86,83,59,60,17,19,0,83,77,68,46,25,80,93,12,11,51,14,87,11,57,68,8,23,33,4,13,89,92,21,6,41,18,37,22,53,16,44,64,97,45,39,82,11,18,62,63,62,56,30,47,67,2,97,78,99,5,15,2,38,49,18,80,44,56,36,77,39,56,21,96,10,1,62,47,30,59,98,73,33,96,22,33,16,44,18,71,64,47,92,76,96,84,6,80,48,19,10,61,2,55,0,49,56,70,20,85,76,45,9,39,8,44,5,77,45,29,8,84,91,39,2,69,37,81,58,58,24,56,54,58,7,46,6,30,14,38,55,30,4,27,19,4,64,6,26,90,79,27,56,54,61,55,85,16,44,88,29,26,40,63,18,88,68,0,37,95,83,79,88,97,22,48,23,80,82,38,16,38,43,44,97,67,14,16,13,76,40,88,20,71,9,44,17,11,17,76,24,20,44,67,94,39,71,45,51,62,47,2,26,88,89,55,75,53,15,98,4,6,45,49,0,73,92,34,85,13,34,44,31,95,66,24,16,2,96,85,57,11,70,46,59,95,30,69,41,37,88,17,0,80,42,77,97,79,45,90,92,81,73,78,33,12,22,70,19,6,31,94,46,97,45,12,8,75,73,38,61,40,52,74,78,40,27,29,5,90,71,95,11,92,42,62,43,50,53,4,92,57,37,27,45,84,62,23,32,84,21}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {6, 967, 9, 5947960, 7102573, 75, 55202399, 9671737, 552, 5930328, 28015, 5817, 48, 32633513, 8453467, 357307232, 77282, 13100, 3, 891282, 3568588, 123, 29643162, 14973056, 4127, 68337436, 600, 5927, 220, 2, 2539, 117, 481, 998, 25959, 5, 92, 8770, 334549392, 80922, 52, 148, 2126404, 125, 11515, 994435044, 476434, 822769774, 762233, 535577497, 392364, 56149, 418557, 347211, 7812134, 55, 55200794, 1, 36025916, 191, 530864, 3866482, 468, 3, 51842, 333, 52, 907, 324, 72296611, 810028024, 835, 1909, 23, 6964, 17, 826, 8, 534, 74857982, 67, 1575149, 404488858, 1, 990429, 1140, 17, 4483723, 142, 915849790, 49870211, 432267, 162, 62841175, 17, 1029, 18788, 12360444, 19, 908, 66, 786204216, 65, 784085996, 7622, 813, 107, 587150223, 9179, 102, 641, 96267, 375, 383893194, 50, 14, 7225937, 67902388, 84216587, 892511165, 22712061, 5139241, 517711572, 89597, 2918, 8536, 9211465, 228, 6051996, 46516578, 2253578, 22, 728, 59493671, 814474912, 577037, 1, 57, 184809, 9077165, 513, 141763, 582, 7781, 580, 305, 89057286, 715741, 7, 73234, 29, 9, 28056, 72, 3252190, 8436, 143118414, 89, 488337530, 7065882, 113805, 8421, 2, 9006257, 42090, 6, 1, 983539434, 631449790, 258, 827718, 32, 98704793, 100, 82001, 105, 56529220, 149, 4, 85, 703, 8, 111, 35752014, 93224353, 31, 872923, 4500, 1, 77412, 281030422, 84810348, 3, 561949491, 663, 11, 2451, 44, 2394, 715 }
{1,381886,3868199,607,369106,6483027,512,409673,784,8371,1,16,89,930,1,340681619,1,5092585,1,1,4778,913809,66784797,1,1,1,36310753,618342837,57904079,46532,3899153,1,4158,1,8910542,12,2525883,1,4917,6731609,81570,842663,86,987745,1,68,726,5230661,206386272,271528,557,835671010,657,113377,5258933,5866,7908,1,27,55,3,8791935,1104,49769,64535,46896,1,184655,44,96953819,819,1,1,6787007,2359808,539,54466,8200334,21747,48139577,205050,7873335,389453049,11,1,1,8956,88035081,585,66,7978,49901,1,588931763,3543301,3068669,7039090,989889,63109378,1}

{11,382271,3868279,618,369117,6483030,931,409921,832,8390,7,45,259,993,4,340681876,21,5092596,18,141,5250,913839,66784799,67,12,5,36310762,618342845,57904424,46559,3899217,3,4196,30,8910745,15,2525910,85,4955,6732009,81643,842688,101,987752,92,81,736,5230669,206386359,271729,643,835671193,667,113576,5258972,5875,7921,10,39,94,4,8792198,1120,49770,64588,46898,175,184675,50,96953820,820,1,1,6787024,2360034,727,54467,8200341,21806,48139615,205086,7873423,389453058,23,10,45,8958,88035333,594,447,8066,49920,3,588931766,3543630,3068670,7039110,990041,63109502,10}

{8838,69141,11375589,6073,91,19395,7025,906454697,12903,10013353,2,1338,1,58414976,20,1,582,702,20914,7946402,33,1,1,71129,952344,947971,1,552072,22890,264009,4328,4748,69397269,680567838,668,95,34849,77531,155072,59720734,625778,1,49971070,85674758,9431,686603,1,72316,8,9828,20194,1,998808,318093259,996593,52325277,1,1,588,2110,2,4009079,1,100199882,5239,3194,707,10,61488382,4971,1,1353,90,45786506,1,119595572,9346522,535501,59646887,68155,1,5429,419765,5,8148,1,2772401,6339201,8588390,4319076,869230494,816572147,969465,1,78,1258727,92982457,609712,6423660,3160}

{8866,69160,11375615,6152,93,19493,7029,906454697,13123,10013514,115,1342,3,58415030,30,11,613,808,21058,7946618,81,26,18,71161,952389,948092,8,552281,22896,264454,4329,4773,69397308,680567953,673,133,34851,77592,155103,59720818,625883,3,49971583,85674760,9438,686960,24,72344,8,9842,20209,1,998815,318093506,996611,52325332,137,36,690,2161,11,4009113,43,100200210,5256,3198,726,38,61488556,5183,382,1355,290,45786684,4,119595690,9346677,535502,59647183,68407,44,5625,419942,31,8158,16,2772408,6339237,8588553,4319196,869230506,816572291,969887,6,96,1258740,92982457,609752,6423661,3327}

"BBBWWWBWWWBWWBWBBBBBBWWWWWWBBBBWWWBWWBWBBBBBWBBWBWWBWBWBBWWBBBBBWWBWWWBBBBWBWWBBBWWWBWBWBBBWBBWBBWBB"

{4,40,23,47,15,2,54,20,21,61,41,89,6,91,35,85,67,4,22,23,24,81,39,82,73,28,58,15,36,90,29,95,2,55,46,36,42,97,24,92,96,42,60,23,63,28,39,93,44,78,10,83,50,52,76,24,61,38,66,34,4,19,85,53,74,95,98,44,61,36,47,43,6,62,54,85,60,51,18,11,49,98,23,69,15,39,1,2,34,7,54,50,64,2,7,84,31,32,15,37,26,51,70,36,28,45,47,40,2,54,68,47,89,31,75,91,36,18,26,34,98,15,24,70,48,52,73,94,2,96,35,63,68,69,52,5,90,57,39,89,37,82,90,8,9,70,59,4,16,26,16,4,70,91,45,39,95,56,29,5,17,46,63,55,24,37,14,3,96,65,17,30,51,0,16,43,84,78,33,5,22,89,89,43,97,2,5,40,99,89,65,16,54,91,20,80,22,2,88,0,50,57,1,25,89,1,21,82,32,92,27,82,5,17,31,83,59,53,88,5,80,81,82,33,83,13,43,11,84,57,28,89,71,75,94,74,2,14,63,66,94,98,64,43,56,85,44,28,8,33,80,61,11,62,39,33,76,60,34,65,99,69,20,81,86,43,10,29,32,81,53,49,19,54,73,72,89,73,35,99,82,74,11,47,48,73,3,10,81,39,8,5,76,93,11,57,38,91,91,65,92,61,54,94,9,92,44,87,66,5,75,83,43,45,51,70,20,43,52,90,60,46,62,32,15,40,20,98,18,67,21,85,94,21,42,35,64,48,32,66,95,83,1,26,88,45,57,45,40,83,55,88,99,72,61,16,44,79,93,5,22,97,51,3,2,92,86,22,20,54,91,56,61,37,6,85,68,7,57,40,51,5,29,95,80,57,81,75,29,88,35,6,82,74,51,79,98,60,92,88,82,95,55,65,63,4,24,52,9,48,70,74,84,37,90,77,58,46,49,62,26,65,15,28,30,80,39,81,81,8,76,98,1,21,38,53,98,98,93,84,19,18,69,10,49,57,60,65,70,0,15,94,99,73,94,11,56,4,41,90,37,25,51,43,27,6,55,41,25,14,27,19,90,52,32,67,45,28,75,24,30,19,72,12,97,91,57,6,30,57,23,3,33,93,39,26,57,11,14,64}

{37,63,38,13,14,25,40,27,91,36,11,27,95,92,33,5,95,47,12,14,6,30,4,19,93,34,40,20,99,63,21,75,64,56,82,5,47,49,53,94,93,82,9,47,98,65,5,26,98,82,22,63,0,73,25,87,29,98,58,2,11,8,2,91,81,48,47,68,79,38,78,43,26,18,58,93,15,26,81,84,59,17,17,49,89,41,46,49,22,76,58,54,73,20,15,85,92,80,31,39,36,94,37,51,59,82,80,0,19,65,88,42,7,12,74,1,11,63,80,27,39,65,63,58,85,13,74,19,51,94,53,88,91,42,31,11,39,57,87,51,27,7,24,56,35,95,77,62,27,84,34,12,38,51,89,20,1,38,13,65,94,90,26,6,95,60,74,41,79,97,96,37,10,60,51,10,33,15,53,52,27,83,77,81,87,1,58,76,75,67,62,60,73,54,37,67,9,70,85,47,94,38,19,66,93,65,76,16,8,72,12,78,83,69,1,20,20,55,40,93,78,79,79,12,35,71,37,30,62,68,51,23,41,88,12,41,58,97,43,38,7,74,48,75,97,30,82,75,10,10,72,49,59,86,21,7,41,4,96,91,47,25,30,73,28,72,47,8,83,18,23,85,95,56,19,44,29,24,97,80,0,20,34,91,40,51,58,99,42,56,72,43,52,19,23,67,94,35,4,37,42,97,31,44,56,48,41,51,62,58,68,43,14,60,54,92,41,13,70,22,69,74,4,51,72,54,21,61,93,56,69,71,65,62,67,49,55,9,67,46,47,89,35,99,46,69,76,4,16,60,19,60,23,35,34,28,96,90,7,33,71,52,41,97,1,85,83,5,36,36,30,10,96,96,69,93,10,8,61,31,19,21,72,43,31,90,96,51,44,25,89,77,66,86,54,85,22,76,43,12,83,30,58,73,24,50,12,55,40,23,43,13,77,6,22,88,71,94,20,93,82,96,16,89,44,65,38,29,24,1,45,4,23,25,62,61,19,34,12,61,15,85,32,28,53,97,85,99,51,4,93,38,29,65,86,88,57,12,49,27,56,39,93,25,47,69,5,12,22,14,35,49,83,35,50,33,37,30,15,18,94,78,56,84,49,24,16,57,58,31,76,48,49,16,96,46,66,8,37,51}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {5, 8852, 382086, 69151, 3868239, 11375602, 613, 6113, 369112, 92, 6483030, 19444, 722, 7027, 409921, 906454697, 819, 13013, 8386, 10013434, 3, 58, 30, 1340, 174, 2, 966, 58415003, 3, 25, 340681751, 6, 6, 597, 5092588, 755, 15, 20986, 33, 7946510, 5034, 57, 913826, 14, 66784799, 9, 49, 71145, 12, 952366, 1, 948031, 36310758, 4, 618342837, 552176, 57904252, 22893, 46553, 264232, 3899185, 4328, 3, 4761, 4177, 69397289, 29, 680567895, 8910645, 670, 14, 114, 2525896, 34850, 54, 77561, 4939, 155087, 6731819, 59720776, 81591, 625830, 842677, 2, 87, 49971326, 987748, 85674759, 47, 9435, 77, 686782, 727, 12, 5230666, 72330, 206386359, 8, 271633, 9835, 605, 20201, 835671192, 1, 663, 998811, 113453, 318093382, 5258960, 996602, 5866, 52325305, 7910, 69, 9, 19, 37, 639, 69, 2136, 4, 7, 8792079, 4009096, 1109, 22, 49769, 100200046, 64562, 5248, 46896, 3196, 89, 716, 184662, 24, 47, 61488469, 96953819, 5077, 820, 191, 1, 1354, 1, 290, 6787010, 45786595, 2359921, 3, 668, 119595631, 54466, 9346600, 8200338, 535502, 21776, 59647035, 48139588, 68281, 205065, 22, 7873345, 5527, 389453056, 419854, 12, 18, 6, 8153, 24, 8, 8957, 2772404, 88035207, 6339219, 585, 8588472, 267, 4319136, 8023, 869230500, 49915, 816572219, 1, 969676, 588931764, 3, 3543473, 87, 3068670, 1258733, 7039110, 92982457, 989980, 609732, 63109440, 6423661, 3, 3244 }
{52048,762811,27256,339147,4851783,1,3837597,401000,1,177675,2,323379,595011734,457,1,195191,835,3614084,1,5985,418,1,1,963713122,1,1,493458216,496014228,516,796967,39869,646,83296,64603,155,64721151,7321,9426522,259197281,697118711,1,407842911,1,290050,9711691,1,477,1,1,292958,1,914056,1,241325840,6958,614453457,487978178,1,104,967608,58,34708,1,32,62870,1,6341,1,6366,5959,30,1,455,524783,264,5277865,427,135,951110153,516501,3,50,361,5510,84916,1,911388,92669626,466,334694320,92864,816,1,1,1,3,539519363,356059219,6680740,36}

{52064,762815,27751,339232,4851801,24,3837609,401011,3,177770,21,323679,595011780,471,13,195416,853,3614090,1,6005,422,109,1,963713504,5,446,493458233,496014544,845,797192,39890,904,83298,64665,384,64721161,7596,9426527,259197293,697118712,4,407842918,135,290078,9711692,12,656,42,17,292965,158,914403,472,241325897,6995,614453530,487978180,194,168,967704,58,34729,2,58,62912,95,6415,6,6367,5962,85,21,596,524799,304,5277903,672,629,951110175,516519,14,67,369,5669,84920,173,911411,92669754,466,334694633,93115,845,281,140,10,33,539519377,356059247,6680862,78}

{597172898,29,22908740,432817,1,150164,73,752931,93836,66723,186749062,6845,18543,328578,45,69,6255965,1,9946,4566574,6935599,727694,97785,12,258634430,8456,294200,100060070,1,4,269337061,1,1,40,520,8347,1,76766,5274,2908,955079451,94870,1,1,9,3868024,9774,9267,92878,37484459,882013853,1,26026,29140,39,223929032,485720,1,1,7503052,459,1,673,78515721,59,4,1305080,178151,60320,74837,9789946,1,780,3,629,89029,1,1,466,75830,55916,88335898,531941,710,66280,1,721654,10704,6510522,79441296,1,810,23,95,91219,1,1,1,7579,1117222}

{597172934,215,22908884,432822,7,150189,73,752938,94093,66725,186749062,7188,18761,328586,106,123,6256162,256,9987,4566576,6935607,727811,97787,12,258634449,8456,294215,100060122,14,8,269337066,9,107,63,626,8353,1,76851,5285,2967,955079657,94915,47,223,19,3868076,9889,9484,92910,37484924,882013933,191,26236,29153,75,223929039,486232,22,14,7503065,492,344,934,78515728,183,8,1305155,178423,60330,75160,9789968,95,814,20,645,89266,1,31,610,76122,55966,88335940,531951,829,66320,1,721673,11065,6510527,79441339,6,1125,200,110,91274,273,23,30,7591,1117227}

"BBWBWWWBBBBWBBWWWWBWWWWWWBBBBBBBBWWBBBWBWWBBWBBWBWWWBWBWBWWWBBWBBWBBBWBBBWWWWBBWBBWBWWBWWBWWBWBBBWWW"

{68,62,90,66,26,50,88,23,14,98,58,65,32,17,42,18,86,42,15,29,84,74,75,40,26,79,3,14,40,47,20,63,87,70,90,39,20,54,60,40,82,95,60,9,7,7,41,41,17,16,61,72,24,51,32,46,68,61,96,53,72,1,21,87,90,13,68,4,28,99,22,5,91,36,15,2,6,66,27,27,22,77,88,21,14,53,54,30,28,54,51,38,55,48,27,69,62,54,47,23,53,7,13,3,40,24,34,30,81,25,78,46,65,97,39,62,36,36,74,6,61,38,51,45,52,11,4,90,72,81,6,11,86,53,88,32,11,80,10,11,35,98,97,50,40,47,16,93,54,77,90,13,96,1,77,90,99,70,8,98,96,28,52,96,76,42,57,30,46,61,17,89,7,62,5,7,43,32,46,10,40,40,72,56,14,72,7,28,81,67,79,22,60,29,66,83,70,49,54,15,68,34,96,82,8,70,61,93,86,6,73,28,24,34,43,90,62,41,20,12,58,9,5,37,3,30,0,39,71,57,15,9,37,98,90,18,95,63,23,55,65,37,40,88,55,65,18,92,24,60,1,8,37,33,86,49,86,4,80,9,27,7,35,39,60,89,0,70,44,7,43,51,51,25,49,62,84,73,42,24,12,96,9,86,96,30,15,58,12,73,41,19,74,10,93,98,23,97,26,0,22,16,14,43,53,99,47,34,13,24,64,19,13,63,5,83,92,6,77,37,42,94,77,45,90,76,1,55,5,39,33,65,45,1,21,28,86,71,72,72,55,97,35,71,14,89,68,90,80,35,45,95,88,69,64,78,28,50,5,53,47,87,34,21,53,52,85,25,98,5,92,39,91,2,35,63,81,54,62,33,89,16,62,84,79,7,28,31,85,2,66,3,23,30,5,83,8,63,77,87,51,24,87,20,37,64,19,68,37,18,53,30,20,34,89,84,31,25,89,87,72,16,3,19,52,63,17,29,58,16,40,28,17,98,52,19,36,89,36,82,18,77,35,75,63,54,24,80,96,53,47,44,30,37,35,55,31,79,95,48,68,41,64,35,90,45,17,86,49,9,80,98,49,44,43,19,38,60,99,43,85,59,56,74,20,88,10,79,49,65,2,58,65,0,85,46,48,75,79,61}

{46,95,12,69,26,81,64,4,44,53,23,3,18,88,55,63,5,9,23,98,89,62,62,80,44,12,96,26,69,45,62,44,95,73,89,52,28,18,65,84,58,86,16,35,12,96,30,87,31,18,79,7,72,11,76,25,69,97,78,8,27,94,0,1,66,24,71,25,88,73,74,86,73,19,13,82,14,2,52,24,53,71,93,81,80,69,52,98,53,13,14,99,34,14,70,3,62,59,88,88,45,17,75,80,66,99,93,25,45,84,89,9,59,96,18,25,23,43,61,72,35,78,58,35,26,96,46,77,43,65,48,49,65,23,47,42,50,69,11,73,65,27,39,11,29,51,30,41,60,16,0,87,34,11,93,29,28,3,46,91,25,45,22,84,43,29,64,0,16,39,99,37,56,71,80,49,63,92,64,14,54,51,15,94,4,90,39,94,48,40,42,41,76,17,34,75,53,71,80,71,88,95,86,9,24,63,27,64,60,61,77,35,81,35,34,89,32,21,72,97,30,84,8,2,2,17,82,78,11,7,2,72,43,49,60,0,1,48,71,33,37,47,11,53,47,74,90,86,32,91,55,89,9,64,18,50,26,58,85,21,43,82,67,64,18,70,56,49,9,56,91,9,41,69,79,35,15,66,67,99,18,67,96,88,33,93,15,89,89,45,74,94,52,75,41,63,14,63,91,16,90,35,75,21,37,64,0,17,45,11,74,83,73,4,71,44,86,3,1,65,92,98,73,52,10,4,76,63,77,93,53,26,76,6,20,93,2,54,17,14,35,37,78,77,72,35,82,67,32,9,40,82,67,89,42,13,74,34,63,24,33,83,90,58,87,15,18,32,45,81,95,94,25,45,4,36,77,42,24,6,75,84,4,34,9,98,99,51,98,61,13,61,30,79,81,3,55,13,43,43,38,64,57,77,78,76,10,89,72,65,31,81,81,53,45,55,42,86,95,65,89,62,11,45,14,87,6,84,2,15,80,6,99,43,67,92,0,24,14,85,21,70,69,59,6,64,35,42,30,88,44,32,10,63,25,32,45,23,95,39,26,34,87,96,47,28,92,12,44,55,3,0,17,49,83,86,17,97,75,21,47,10,43,29,49,83,49,49,41,87,76,45,52,78,15,50,24,29,44,0}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {52049, 597172916, 762811, 122, 27534, 22908812, 339190, 432819, 4851792, 4, 12, 150176, 3837609, 73, 401007, 752934, 3, 93964, 177723, 66724, 21, 186749062, 323508, 7016, 595011763, 18652, 467, 328582, 7, 75, 195326, 96, 843, 6256063, 3614085, 129, 1, 9986, 5995, 4566575, 419, 6935603, 51, 727753, 1, 97787, 963713504, 12, 4, 258634440, 445, 8456, 493458225, 294208, 496014411, 100060096, 682, 7, 797081, 6, 39882, 269337063, 778, 5, 83297, 54, 64638, 52, 315, 573, 64721157, 8350, 7596, 1, 9426525, 76808, 259197287, 5279, 697118711, 2938, 4, 955079554, 407842912, 94892, 71, 24, 290077, 112, 9711692, 14, 9, 3868050, 598, 9831, 16, 9376, 1, 92894, 292959, 37484691, 117, 882013893, 914308, 96, 316, 26131, 241325873, 29147, 6976, 57, 614453496, 223929036, 487978179, 485976, 99, 11, 137, 7, 967658, 7503058, 58, 491, 34726, 173, 2, 804, 47, 78515724, 62890, 121, 48, 6, 6378, 1305117, 2, 178287, 6366, 60325, 5961, 74999, 64, 9789957, 15, 48, 540, 797, 524791, 11, 289, 637, 5277869, 89147, 671, 1, 391, 16, 951110159, 538, 516518, 75976, 12, 55941, 54, 88335919, 364, 531946, 5609, 770, 84916, 66300, 173, 1, 911401, 721664, 92669678, 10884, 466, 6510526, 334694482, 79441317, 92992, 4, 828, 968, 192, 111, 72, 102, 1, 91246, 18, 137, 539519367, 12, 356059233, 15, 6680807, 7585, 59, 1117225 }
{1,1179606,4414678,5,1,1,756335,810354,1,54107227,6563,70289,316012,1,922207,4,67429,967252,1,51957,1,1,1,893340223,277153,39323362,1,1,26,449650,75,558790341,3425,7693390,999268,663,1480043,1872429,27635389,937152,6,689871,6634477,8446,58338,334521,1,541415,45,352838,8638602,1,22261,9532,36503467,593,915490,3152,70629987,487,1,199804509,1,3415,24902116,25135013,595354925,1,45292,159,16816571,5215,148471,1,5845642,1,4899546,5434809,881928,1,3,6,72,205,189906,1,4,597,369591,9589,1663,58,1,1,1,1,23364796,412,1,707}

{27,1179661,4414879,128,1,1,756335,810355,118,54107237,6912,70298,316062,17,922324,97,67507,967268,99,51975,115,38,91,893340230,277153,39323674,135,7,93,449651,167,558790403,3622,7693455,999269,909,1480043,1872530,27635393,937157,25,689909,6634506,8597,58353,334521,85,541493,78,352861,8638616,17,22434,9712,36503476,949,915492,3170,70630037,490,57,199804519,15,3426,24902117,25135038,595355045,17,45355,180,16816578,5235,148489,1,5845646,77,4899549,5435084,882093,2,22,12,373,229,189910,13,59,715,369636,9591,1670,151,20,1,1,55,23364931,425,6,910}

{921230,34528,99,91,77034870,637628056,424609,16391042,42436351,347885,803,668,3,1,367370,1,35572298,64191,176623,1,92281,178720,3,462724,710522339,5505191,5104,51,5691,130713,38138808,27220,20981353,7886,10847101,907256,1,3,6730,333199,553118,1,912829,4,173068822,6835,68695876,1,103,7558418,82,1,964824417,6118243,8090,616,44366780,1,892553,120460,8,108,95553,924,1,1,1,330907598,1,1,295377443,1,1,7067224,1291626,1,3108521,410636457,88891,84769,497,76081795,557456,1750,1,5956379,79465,2,671010,43396,22,281592801,173541537,128,39,9112510,68198067,6217723,174491602,83037167}

{921231,34531,310,511,77034884,637628406,424657,16391046,42436602,347910,920,682,6,20,367651,30,35572441,64485,176654,5,92422,178781,6,462952,710522358,5505207,5122,100,5966,130742,38139029,27245,20981365,7987,10847402,907687,14,10,6741,333362,553170,1,912982,223,173068843,7147,68695911,3,110,7558733,92,167,964824423,6118245,8445,747,44367144,100,892561,120464,57,218,95786,925,22,42,166,330907845,172,4,295377443,22,167,7067306,1291711,335,3108798,410636496,88896,84774,516,76081858,557586,2051,6,5956459,79468,3,671223,43408,38,281592804,173541539,129,89,9112534,68198285,6217989,174491613,83037265}

"BWBWBWWWWWWBBBBWWWWBWBBWBBWWBBBBWBWBWWBWBBBWBWWBWBWBWWBWBWBBBWWBBWBWBWBWWBBBBWWBBWBWBBWWWBBBWBWWBWBB"

{79,91,88,6,58,15,73,32,69,24,82,85,15,14,57,2,31,52,30,28,16,38,98,48,47,35,18,91,12,53,14,54,64,89,62,96,95,67,40,47,27,3,58,52,40,72,7,17,63,86,68,73,67,61,76,67,44,89,15,26,30,13,48,27,12,9,59,46,69,48,11,31,21,38,86,26,67,34,8,56,90,23,67,45,62,19,25,59,14,77,21,1,42,44,97,77,3,94,53,51,39,64,16,39,50,5,85,61,54,8,78,61,47,75,10,76,41,52,24,88,9,69,84,21,19,85,47,43,51,22,17,10,4,67,48,90,42,22,56,30,1,53,66,40,44,82,25,44,29,31,45,32,86,94,96,79,22,18,69,69,50,14,54,85,91,25,54,14,48,98,3,88,67,26,78,69,24,58,95,14,26,35,65,89,15,74,22,24,11,93,60,28,96,74,87,88,74,76,91,96,89,83,8,32,35,36,38,54,51,91,55,59,82,76,21,88,14,74,53,9,51,29,42,40,87,33,6,89,68,87,53,50,98,49,24,18,53,85,79,97,25,26,94,99,27,49,73,29,28,72,46,9,16,75,74,86,2,19,77,84,23,91,59,9,37,78,10,18,27,23,10,17,98,81,6,37,93,46,76,28,79,30,33,60,73,97,55,63,33,63,79,87,39,38,24,3,99,34,41,14,6,29,74,68,44,18,49,40,12,87,65,32,3,60,94,1,96,10,20,23,82,16,12,72,43,29,92,20,33,3,52,45,71,87,61,69,11,82,1,25,65,71,22,27,42,90,54,74,43,96,36,0,18,27,59,14,41,54,55,36,73,23,78,17,76,69,79,25,21,72,94,93,2,87,61,58,3,3,72,44,68,81,56,94,69,72,38,72,47,15,99,54,62,78,89,41,4,83,28,54,42,26,35,10,17,56,44,98,10,75,10,87,46,47,51,73,18,94,58,51,78,36,97,43,37,84,48,56,69,16,61,7,60,6,87,31,21,84,4,35,51,90,5,50,70,77,73,3,97,39,61,88,11,2,51,99,65,47,35,60,46,5,80,40,35,17,32,83,87,59,80,2,63,12,84,71,76,63,52,93,10,50,99,92,4,31,42,36,59,47,65,41,2,19,68,23,63,37,51,9}

{60,49,49,65,99,85,56,43,12,95,13,14,22,73,38,96,94,29,6,10,75,68,17,86,59,97,2,36,64,99,40,54,93,97,97,61,76,7,44,22,4,1,79,31,42,66,56,60,43,43,67,36,72,86,82,40,99,43,34,1,37,8,0,46,20,88,93,56,48,0,83,68,33,0,39,84,48,78,89,32,85,42,89,90,6,43,78,23,40,87,82,60,67,26,86,43,22,13,87,71,6,23,27,31,88,13,80,49,21,16,5,63,79,25,52,69,17,63,69,89,56,83,57,87,50,39,7,82,66,33,83,6,92,39,60,5,36,30,98,26,74,13,14,67,70,50,34,79,79,94,84,47,66,98,22,97,52,11,78,60,61,92,68,3,21,45,58,22,34,49,26,87,17,23,28,74,59,98,86,19,28,50,49,10,15,62,62,39,55,30,85,76,17,88,13,73,19,17,23,54,29,1,67,54,62,83,25,51,74,81,26,0,24,34,73,65,96,31,77,77,81,78,1,46,44,25,67,88,20,18,68,65,2,50,62,6,60,9,41,43,76,48,50,10,46,25,33,86,73,24,18,6,76,99,54,11,67,67,23,65,26,68,26,48,29,72,52,9,2,71,47,84,13,10,41,89,47,75,52,69,83,21,90,37,33,36,75,29,42,19,39,12,45,40,13,83,95,83,16,82,6,47,5,56,34,19,10,28,17,1,67,81,54,39,99,68,89,29,10,19,83,75,77,8,3,71,15,86,57,77,5,49,39,14,6,79,95,47,75,41,44,89,85,40,19,86,79,52,88,77,20,93,82,91,11,2,79,41,76,51,70,34,59,1,75,10,52,42,81,30,68,41,99,84,95,71,39,18,99,44,7,16,35,91,15,22,16,44,71,69,47,87,70,14,55,84,98,93,1,20,31,45,99,21,36,20,11,29,98,4,53,52,51,44,40,52,90,15,8,7,82,13,79,32,52,26,79,62,8,46,24,92,98,32,31,63,68,61,36,35,6,95,98,94,95,29,75,6,14,84,70,39,76,1,85,10,93,20,5,65,28,7,64,3,16,8,76,26,99,62,62,99,2,84,51,99,17,21,62,29,0,59,55,37,44,49,90,93,50,90,78,48,52,92,61,35,92,88,10,81}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {14, 921231, 1179635, 34529, 4414774, 205, 91, 301, 1, 77034884, 1, 637628405, 756335, 424657, 810354, 16391044, 9, 42436477, 54107229, 347897, 6739, 861, 70292, 675, 316038, 5, 8, 11, 922230, 367511, 53, 15, 67436, 35572370, 967254, 64338, 52, 176638, 51968, 3, 45, 92351, 8, 178751, 47, 4, 893340228, 462838, 277153, 710522358, 39323522, 5505199, 71, 5113, 7, 75, 90, 5829, 449651, 130728, 93, 38138918, 558790379, 27232, 3527, 20981359, 7693405, 7936, 999269, 10847251, 694, 907471, 1480043, 13, 1872482, 6, 27635390, 6735, 937156, 333280, 13, 553144, 689908, 1, 6634488, 912905, 8488, 114, 58343, 173068832, 334521, 7147, 54, 68695894, 541455, 2, 63, 107, 352842, 7558575, 8638611, 87, 3, 84, 22348, 964824420, 9622, 6118244, 36503473, 8268, 790, 682, 915491, 44366962, 3157, 51, 70630016, 892557, 489, 120462, 32, 33, 199804513, 163, 11, 95669, 3421, 924, 24902117, 12, 25135018, 22, 595354963, 84, 12, 330907722, 45314, 87, 170, 2, 16816578, 295377443, 5225, 11, 148478, 84, 1, 7067306, 5845644, 1291669, 63, 168, 4899549, 3108660, 5434947, 410636477, 882011, 88893, 2, 84771, 13, 506, 7, 76081827, 268, 557521, 223, 1901, 189908, 3, 4, 5956419, 33, 79467, 656, 2, 369620, 671116, 9589, 43402, 1663, 30, 105, 281592802, 10, 173541538, 1, 128, 1, 89, 38, 9112522, 23364823, 68198176, 422, 6217856, 1, 174491608, 855, 83037216 }
{1,3970861,97,471576002,533949629,326691,411001,85,1,1,4742360,772115800,1,16838,668226358,1,676,382363,61254,4322963,112744,95035365,4050,54718,65631231,1,1,40501057,620198976,955156,492983869,7956,655612,27,1,4,6890755,1,264214,965,690091289,216565,1,49921857,1,6608,4335364,44180081,13,91199,1,18,1,3994,936435269,496,92197,33492462,1366,8,2542941,682,148546,489630476,1,1,1,1919196,886,3327,6083035,23633,6782579,1,98829928,1,4212168,298366283,14,679692208,1,71878071,4,2486964,360965,24,1,1,684992,1,2585783,302290779,308090,1,314326101,829,370866168,15366,72256503,395}

{1,3971027,117,471576004,533950020,326724,411149,107,211,23,4742366,772115836,3,16840,668226368,8,680,382389,61405,4323055,112767,95035489,4104,54731,65631237,11,27,40501210,620199317,955191,492983926,8072,655634,57,8,6,6890758,20,264225,994,690091418,216566,13,49921858,89,6865,4335450,44180103,20,91215,3,300,53,4033,936435327,710,92385,33492731,1395,84,2542944,835,148547,489630491,9,6,260,1919198,1389,3341,6083187,23652,6782598,62,98830058,9,4212170,298366915,75,679692244,140,71878111,21,2486967,360976,42,12,111,685000,34,2586202,302290876,308130,88,314326144,830,370866526,15425,72256511,542}

{78,609152611,393778565,899202491,29,30,1,1,2,876,547994641,18,8319639,4,4754690,88661,949112908,435143523,9625962,8552,54100,108,58721,19,1,8899,2,60005331,604860,5838,1,101,355066537,92077958,134865040,7405,59,102854,3116,42,2,3294369,206,393915886,73,36701,1,1,34010235,1,5199703,6573938,1,62501727,298209610,2167,1,408558,3108870,410511,430010,94117,1,6434,1,1,413421,926,8953,609740311,1,1,714,137,438,588573,63727,66367,1,611,8,656,690,1,83315603,27353,2535,10711620,19343656,1,75163,42528054,6264347,4095,1,476878,88571693,996673,1061,539}

{83,609152731,393778828,899202603,30,255,1,9,2,877,547994662,146,8319664,8,4754696,88662,949112919,435143574,9626007,8557,54188,253,58724,19,36,8914,6,60005333,604878,6057,3,129,355066545,92077963,134865043,7438,78,102886,3120,59,70,3294371,269,393916518,79,36823,2,6,34010238,153,5199880,6573949,59,62501793,298209683,2175,187,408598,3108887,410514,430065,94250,119,6726,10,13,413445,929,9363,609740750,74,21,805,435,649,588582,63734,66370,1,613,22,785,942,1,83315620,27394,2542,10711656,19343695,73,75247,42528084,6264399,4128,143,476881,88571709,996675,1267,561}

"BBBWBBWBBBWBBBWBBBBBBWWWWWWWBBBBBWWWBWBBBWWBWBBBBBBWBBWWBBWWWBWWWWBWWWBWBBBWBWWBBBBWBBBWBBWBBWWWBBBB"

{23,95,80,51,32,12,71,61,11,59,48,6,31,68,83,31,93,6,13,25,8,59,69,45,67,72,3,30,60,89,51,25,10,85,98,43,36,70,19,28,74,25,73,14,27,0,91,8,39,60,9,11,51,10,61,80,44,29,83,70,65,64,48,76,17,17,59,33,35,16,46,42,88,60,52,42,71,14,81,33,79,97,89,46,96,96,5,64,36,44,62,75,81,26,46,19,36,6,16,30,51,97,32,42,73,23,62,43,93,70,5,63,38,7,28,69,69,72,31,24,52,65,9,12,72,22,1,12,16,53,34,90,66,48,49,89,35,62,1,37,91,38,63,13,61,96,93,99,18,99,95,18,51,33,73,87,63,41,85,60,97,75,39,16,33,12,50,80,54,63,21,52,90,93,86,55,46,84,54,66,3,27,93,54,27,31,48,45,25,81,92,39,39,91,2,72,63,95,38,49,22,63,71,60,33,72,87,35,36,17,14,50,37,12,54,67,42,50,75,17,69,8,71,66,7,25,55,94,80,43,38,30,69,22,2,95,64,55,7,94,1,73,27,36,41,26,82,91,26,99,91,30,24,61,45,71,88,40,0,52,4,85,46,15,77,36,87,65,12,14,54,52,63,82,50,68,3,20,73,71,7,60,4,13,46,29,5,5,32,4,78,62,77,6,41,71,9,50,61,26,6,28,3,64,70,34,14,81,83,67,74,63,29,63,63,67,44,25,19,8,91,81,49,54,13,91,91,89,33,71,31,40,53,23,17,99,1,45,84,46,28,62,84,65,35,13,79,69,36,75,78,58,48,79,21,46,7,75,28,56,2,69,64,6,5,1,62,22,67,11,43,93,29,85,86,43,13,67,28,15,94,5,28,48,69,97,34,59,2,74,99,18,80,36,67,95,92,10,20,59,48,51,9,53,50,27,32,99,69,73,6,30,43,29,2,99,25,63,56,24,49,37,16,11,86,70,45,14,85,20,45,31,71,6,53,43,40,5,73,16,32,21,48,28,12,52,93,91,58,52,98,58,88,68,28,10,60,59,50,46,1,83,92,28,20,95,73,36,52,1,0,33,62,80,67,29,30,34,33,12,21,6,16,96,50,24,79,66,6,75,37,66,26,41,9,4,68,11,91,46}

{83,8,19,12,12,95,35,47,89,12,26,0,43,24,36,14,6,46,5,74,65,93,28,91,43,54,0,56,35,7,50,48,56,87,62,74,8,12,39,41,37,67,93,51,53,77,85,33,12,28,45,9,34,44,41,67,10,84,97,25,21,35,9,93,3,64,96,94,54,2,40,4,2,39,9,58,5,50,53,41,59,64,86,34,99,47,57,51,90,84,37,0,2,86,96,35,57,75,27,21,5,18,70,39,88,86,67,4,84,4,89,85,17,53,78,59,42,39,62,17,91,36,66,71,0,96,46,4,23,61,24,52,74,40,19,20,92,76,84,72,42,96,90,72,35,22,49,63,85,45,69,79,2,9,81,15,83,64,96,77,28,48,4,1,70,17,61,51,99,82,93,90,77,88,1,38,62,19,39,73,43,76,63,54,79,78,11,27,29,14,54,60,39,61,80,50,91,49,54,61,38,52,94,17,17,17,28,43,23,90,69,97,14,36,51,13,37,60,69,23,39,82,10,72,43,31,8,45,36,28,75,71,96,99,49,86,31,32,40,61,42,11,71,20,38,14,78,69,41,89,48,6,98,25,15,49,63,61,13,96,68,97,32,87,90,65,43,46,29,57,2,98,46,89,63,92,40,57,80,16,43,60,9,77,62,54,42,66,52,27,57,46,6,10,93,68,77,61,90,83,94,26,14,26,64,30,88,21,2,83,4,21,92,22,62,56,24,27,40,40,23,78,5,26,21,50,32,31,62,60,57,52,30,2,28,68,84,79,38,63,59,24,38,51,79,55,58,58,60,51,31,9,86,77,24,98,39,30,91,6,73,94,55,25,9,52,6,96,84,32,85,92,84,92,42,47,38,2,8,35,89,17,74,5,38,93,86,80,90,98,29,31,51,61,47,28,51,94,36,19,70,54,59,93,14,82,77,92,4,80,45,94,66,77,99,61,41,80,57,82,69,93,91,39,6,62,8,68,55,42,7,97,64,72,8,49,55,2,70,36,68,87,57,51,60,40,77,85,3,68,66,67,80,66,45,5,24,75,90,20,66,89,51,49,32,81,13,40,37,0,80,63,93,90,27,9,43,11,99,94,94,52,65,97,15,63,62,73,59,33,22,65,77,10,79,48,98,60,54,21}

{2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,2000000000,20000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Returns: {1, 82, 3970966, 609152671, 106, 393778697, 471576003, 899202547, 533949825, 30, 326704, 143, 411149, 1, 98, 5, 211, 2, 12, 877, 4742364, 547994652, 772115827, 82, 3, 8319652, 16839, 6, 668226365, 4754693, 5, 88662, 677, 949112914, 382364, 435143549, 61337, 9625984, 4323011, 8554, 112765, 54144, 95035417, 181, 4078, 58722, 54731, 19, 65631232, 18, 4, 8906, 16, 4, 40501134, 60005332, 620199148, 604869, 955160, 5947, 492983899, 2, 8026, 115, 655624, 355066541, 44, 92077960, 6, 134865042, 6, 7422, 6890755, 68, 4, 102870, 264221, 3118, 985, 50, 690091383, 36, 216566, 3294370, 6, 238, 49921857, 393916202, 46, 76, 6791, 36762, 4335407, 2, 44180094, 3, 18, 34010237, 91204, 77, 3, 5199792, 162, 6573944, 25, 30, 4001, 62501760, 936435291, 298209647, 605, 2171, 92291, 94, 33492603, 408578, 1386, 3108878, 46, 410512, 2542941, 430037, 768, 94183, 148546, 60, 489630486, 6580, 5, 5, 1, 7, 134, 413433, 1919197, 927, 1184, 9158, 3336, 609740530, 6083145, 38, 23643, 11, 6782591, 760, 35, 286, 98829953, 544, 5, 588577, 4212169, 63730, 298366600, 66368, 75, 1, 679692227, 612, 76, 15, 71878095, 720, 11, 816, 2486967, 1, 360968, 83315611, 26, 27373, 8, 2539, 56, 10711638, 684997, 19343676, 4, 37, 2585993, 75205, 302290830, 42528069, 308104, 6264373, 51, 4111, 314326128, 72, 829, 476879, 370866352, 88571701, 15395, 996674, 72256505, 1164, 473, 550 }
{1,9134858,743089290,517456,1,369212,1,1,1561,4,4971,8445052,8,639660,23925259,4749,1,1,99375378,1,8951939,3,1,68325382,819978,1177401,7782,1,1,81,8195,9119,1,9042,17,5114506,211125,1,1,273,8918,9779276,1,1,42749,7062,96531321,845922,1,58,2,69203,1,2,7338,8921146,392248,71040,1,42227107,787,703736,1,4700,7,45,4566704,105674439,6775263,78904,52,50,20,1440,1,12,1,91194910,1,59079909,452006,9991774,8706,57626,16,417,7061,97292,3577150,1324471,51404344,84865,589599585,23,1,1,1,1,4,526321496}

{1,9134991,743089347,517753,16,369256,191,96,1563,269,5146,8445277,10,640195,23925294,4979,7,3,99375382,14,8951959,201,1,68325724,819978,1177421,7784,5,2,174,8214,9362,3,9394,51,5114510,211128,3,6,273,9042,9779326,204,1,42821,7275,96531354,845965,9,92,17,69413,15,7,7522,8921152,392252,71242,6,42227324,788,703973,1,4865,186,96,4566952,105674583,6775416,78978,122,52,22,1468,2,84,154,91194946,1,59080141,452017,9991817,8706,58052,16,528,7119,97303,3577155,1324571,51404486,84907,589599628,363,10,7,94,72,5,526321654}

{1,81306092,89263586,56591,45781428,14519,9181,433,34244464,616505,298127,9,461177,21903210,77831,8068,1,47412932,2527,1,31,2067502,316623,565148,422850904,165356121,27177,6205,1,547,1,47,354746570,5438444,9,92008766,599910,1,63272,981019701,343,74979687,635174,666865,27874332,1874119,958427040,62675,2538907,71568,11091,623,687,86099787,4228,346,7,1,1,80688012,9,9,1,294,3968034,22,71659,273438,939171457,1,1,3999,23626282,14451,88655687,25,3542,62604366,765141267,588159,3891151,55925436,46,33916707,947670,71,1,1,482,2937675,1,49302,1,7070,5548,89594798,1,37969,1,2572}

{1,81306144,89263832,56596,45781500,14554,9186,465,34244644,616509,298187,10,461341,21903244,77836,8272,287,47413320,2531,267,36,2067532,316686,565183,422850907,165356146,27198,6416,6,562,107,63,354746700,5438447,11,92008767,600209,67,63473,981019712,361,74979719,635185,667128,27874730,1874123,958427068,62784,2539007,71758,11099,672,700,86099961,4307,385,330,36,29,80688031,131,254,1,702,3968403,25,71669,273491,939171480,1,4,4011,23626614,14452,88655687,44,3595,62604819,765141311,588173,3891180,55925534,266,33916756,947836,101,1,5,521,2938121,9,49330,5,7097,5551,89594839,2,37987,10,2786}

"BWWWWWBWWWWBBBWBWBWWWBBBBBWBBBBWBBBWWWWBWBBWBWBWWWWBBBBWWBBWBBWBWBBBBWBBBWWBBWWBWBWBBBWWBBWBWBBWBBBB"

{36,81,73,67,72,36,74,68,96,54,49,19,55,16,76,28,17,9,22,99,60,7,65,7,38,73,68,18,91,41,90,4,4,59,74,73,84,0,35,78,61,0,22,73,40,99,20,25,58,82,98,34,0,85,22,70,19,82,34,11,80,17,64,74,38,56,27,8,79,13,84,84,17,27,80,77,6,1,67,53,80,55,91,65,24,47,67,92,74,48,16,86,29,54,61,1,37,79,88,58,38,22,21,82,71,9,90,85,68,75,85,97,28,51,4,26,24,38,56,15,60,75,33,98,80,50,13,53,74,31,37,75,21,94,78,59,75,62,2,50,63,12,5,27,25,32,94,20,65,29,91,68,66,49,61,34,29,14,5,85,79,99,82,48,34,62,50,55,85,31,60,1,74,9,70,89,11,46,46,53,57,88,71,14,18,93,85,83,47,21,12,64,52,46,71,38,91,63,13,0,92,54,14,32,39,84,84,25,69,19,23,88,72,81,42,11,62,78,82,41,27,20,58,25,13,64,89,9,50,41,66,46,56,34,62,45,95,58,11,51,69,64,48,4,41,35,93,11,78,35,88,32,27,26,4,24,18,35,11,80,70,72,87,80,20,13,42,29,90,98,19,16,96,94,20,87,51,19,96,12,4,14,8,31,63,30,8,16,95,21,71,93,17,60,54,12,80,93,33,60,2,36,51,71,67,22,96,68,30,63,85,82,5,28,31,76,39,73,2,32,33,63,5,31,44,75,17,21,29,69,9,38,56,74,85,97,55,70,12,86,60,44,84,40,20,80,79,87,46,91,93,21,42,10,11,89,57,10,79,57,46,62,16,17,15,25,65,2,74,21,8,94,82,53,73,0,28,1,8,88,96,15,38,54,21,90,9,41,88,15,80,39,8,54,79,4,67,30,86,69,59,60,31,52,35,88,49,68,75,54,68,51,16,69,9,41,6,7,15,33,88,30,4,80,10,58,96,44,39,18,75,46,45,31,64,52,22,31,17,40,36,22,34,3,38,43,26,19,86,79,44,75,67,16,99,62,75,12,95,77,65,74,0,64,91,51,92,93,34,45,78,60,30,57,17,64,14,28,5,14,97,32,63,90,77,70,44,96,93,35,52,43,53,78,98,78,89,0,10,51}

{43,43,47,43,10,97,71,61,79,99,94,73,60,16,26,21,18,53,51,68,22,42,86,10,8,48,63,26,27,21,26,69,92,9,58,65,18,12,81,3,5,80,83,72,96,71,29,64,3,92,53,81,39,76,69,29,46,1,85,40,19,28,8,36,19,23,58,21,61,46,0,12,73,84,72,70,56,70,34,3,54,67,18,30,58,39,7,21,32,32,78,23,51,35,26,59,29,38,51,98,4,78,58,12,30,41,94,82,39,15,19,10,83,58,36,65,55,41,72,31,63,49,91,8,75,50,38,78,1,47,79,16,12,70,95,78,4,79,13,88,95,2,24,83,99,38,78,55,34,10,16,24,11,60,34,20,55,77,50,79,71,51,55,40,32,49,81,29,51,0,17,51,20,70,99,76,99,38,95,37,0,78,8,37,83,3,66,79,27,52,74,36,99,58,93,19,57,28,93,52,36,9,35,65,66,53,99,99,44,34,2,67,3,85,18,9,64,89,37,90,27,15,26,10,56,71,58,26,54,23,9,82,99,18,53,91,32,20,40,9,87,36,50,16,74,39,26,20,77,45,23,59,95,33,61,39,34,57,54,32,96,70,76,45,95,53,11,74,66,45,46,32,24,28,75,45,74,85,2,64,24,40,77,27,90,98,65,61,36,48,65,58,76,39,65,17,72,86,87,88,26,27,20,93,51,44,62,71,34,93,83,63,37,69,76,94,28,65,14,22,44,5,67,80,24,59,48,45,8,9,1,23,55,84,34,35,84,18,57,9,83,56,67,55,7,3,69,81,18,27,88,57,10,65,87,89,22,18,39,11,40,98,49,28,91,78,33,27,92,28,32,35,81,71,86,58,95,95,44,3,98,64,21,21,9,32,25,27,48,22,20,45,95,48,24,84,25,33,46,49,46,85,48,12,1,87,72,86,98,56,33,80,71,78,33,13,57,88,42,45,75,48,92,90,93,17,33,44,94,7,24,22,72,29,50,16,31,37,9,64,14,10,53,45,38,13,60,67,84,91,91,5,42,90,92,96,31,61,79,53,66,25,66,75,99,16,44,0,4,57,18,6,56,77,33,90,73,82,59,21,98,55,65,47,41,43,77,16,77,25,94,72,1,12,97,6,90,9,39,52}

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Returns: { }

Statistics

Problem Statement for "ChessboardPuzzle"

Problem Statement

Definition

Constraints

Examples