TopCoder Statistics - Problem Statement

Problem Statement

You are given a rooted tree with n nodes. The nodes are labeled from 0 to n-1. Node 0 is the root.

You are given the description of the tree: the int[]s p and w. The int[] p has n-1 elements. For each valid i, node p[i] is the parent of node (i+1). You may assume that for each i we have p[i] <= i. The int[] w has n elements. For each valid i, w[i] is the weight of node i.

The int[] w has a special property: it is non-decreasing. That is, for each valid i we have w[i-1] â¤ w[i].

All nodes of the tree are currently empty. You are now going to play a game with the tree and an unlimited supply of stones. The game is played in turns. In each turn you can either remove a single stone from anywhere into a tree, or you can place a single stone onto a node of the tree. However, there is a restriction on placing the stones: you may only place a stone onto a node if all of its children currently have stones placed on them. (Note that this means that you can always place a stone onto any leaf of the tree.)

The weight of a given state of the game is equal to the sum of weights of nodes with stones.

You win the game by placing a stone onto the root of the tree. You want to win the game. If there are multiple ways to do so, you prefer a way for which the maximum weight of a state during the game is minimized. Compute and return this weight. In other words, compute and return the smallest W for which there is a way to win the game such that during the game the total weight of nodes with stones never exceeds W.

Definition

Class:: StonesOnATreeDiv2
Method:: minStones
Parameters:: int[], int[]
Returns:: int
Method signature:: int minStones(int[] p, int[] w)
(be sure your method is public)

Constraints

p will have between 1 and 999 elements, inclusive. (Thus, the number of nodes is between 2 and 1,000, inclusive.)
The i-th element of p[i] will be between 0 and i, inclusive.
w will have exactly len(p)+1 elements.
Each element w will be between 1 and 10^5, inclusive.
Elements of w will be non-decreasing.

Examples

{0,1,2,3}

{1,2,2,4,4}

Returns: 8

There are five nodes in a line. Here, one optimal solution is as follows: Place stone on node 4 (weight = 4). Place stone on node 3 (weight = 8). Remove stone from node 4 (weight = 4). Place stone on node 2 (weight = 6). Place stone on node 1 (weight = 8). Remove stone from node 2 (weight = 6). Place stone on node 0 (weight = 7). The maximum weight over all states is 8. It can be shown there is no other sequence of moves that has a smaller maximum weight.
{0,0,0,0}

{1,2,3,4,5}

Returns: 15

In order to be able to place a stone onto node 0 we have to place stones onto all four of its children. Thus, at the end of the game each of these five nodes will have a stone.
{0}

{100000,100000}

Returns: 200000
{0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6}

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

Returns: 6
{0,0,1,2,3,4,4,2,1,3,6,7}

{1,2,3,4,5,6,6,7,8,8,8,9,10}

Returns: 22
{0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,4,3,1,0,0,3,1,0,2,0,4,1,8,4,2,1,0,4,3,2,8,3,1,2,1,1,0,5,8,6,7,9,1,11,1,1,2,0,0,1,2,1,6,1,17,0,0,0,10,14,22,2,3,6,1,4,1,4,3,1,14,3,3,4,7,3,3,8,13,1,10,6,1,18,1,23,1,16,0,6,35,3,14,2,3,2,1,11,20,18,18,0,3,11,9,18,24,0,0,9,6,10,1,0,6,24,5,7,29,0,10,25,36,9,1,19,0,36,14,1,0,19,7,5,13,25,14,0,8,3,12,2,8,5,35,9,36,10,39,0,23,4,23,11,11,16,22,4,5,31,4,14,11,9,20,2,4,16,23,11,34,16,28,9,4,24,11,5,36,3,46,5,2,7,11,5,13,3,3,5,10,5,11,27,22,20,5,19,28,28,3,54,5,0,0,49,7,17,0,16,36,7,50,2,10,16,16,10,0,3,42,58,7,2,32,32,15,18,8,14,50,2,27,7,42,34,30,54,18,49,15,32,0,7,9,6,14,57,100,5,16,24,18,38,24,46,7,6,57,0,6,24,12,65,8,1,6,41,6,69,46,48,11,39,91,20,45,7,23,45,14,4,57,32,24,5,44,1,26,16,121,40,2,9,4,48,63,95,24,0,13,28,37,10,65,54,23,41,7,19,10,25,26,56,5,18,1,50,14,29,9,62,3,55,4,50,59,37,40,34,33,4,41,9,20,15,69,9,12,41,11,17,76,48,4,35,27,85,24,11,2,36,14,41,61,101,11,71,45,37,40,25,2,76,26,3,17,38,8,10,19,42,10,89,46,5,8,112,32,6,69,34,1,116,72,57,5,18,20,21,12,96,2,31,64,33,63,12,40,15,13,31,30,1,29,35,131,36,66,48,79,0,7,50,15,97,73,69,62,84,6,14,53,61,3,94,0,6,27,171,1,23,59,56,87,32,0,7,28,12,3,49,42,49,15,48,44,36,6,35,13,18,12,63,50,55,105,41,68,0,100,62,14,2,0,7,119,13,27,4,111,18,22,207,44,47,47,18,26,67,45,108,2,30,38,74,27,13,5,25,56,24,22,31,46,6,27,31,9,4,152,14,22,30,156,68,2,44,45,51,55,72,29,54,83,18,7,41,31,46,50,130,20,73,50,35,20,94,85,63,175,26,27,127,207,70,57,17,16,109,22,24,47,40,78,6,19,11,56,3,26,124,79,71,5,209,68,17,14,27,8,14,30,81,88,30,81,82,184,82,15,139,16,20,26,121,3,113,27,178,3,53,13,63,11,38,133,39,3,72,66,7,6,42,15,126,78,41,76,3,30,6,131,190,52,81,125,72,35,49,29,97,154,16,75,27,26}

{58,311,347,348,363,495,613,756,1025,1267,1278,1536,1638,1844,2224,2662,2801,3278,3540,3563,3595,3713,4218,4266,4555,4592,4745,4800,4824,5151,5268,5490,5491,5533,5664,5786,5948,6298,6362,6581,6583,6596,6714,6998,7158,7251,7286,7445,7575,7607,7620,8335,8347,8519,8566,8613,8630,8720,8751,8757,9012,9170,9196,9362,9430,9494,9548,9589,9611,9755,9883,9977,10279,10280,10334,11410,11539,11626,11633,11684,11787,11801,11885,12323,12324,12351,12428,12577,12728,12795,13082,13118,13163,13284,13376,13425,13513,14031,14652,14905,15019,15329,15420,15463,15701,15769,15949,15960,16048,16184,16540,16617,16650,16945,17145,17184,17408,17557,17802,17865,18058,18233,18237,18614,18640,18643,18678,18788,18814,18867,18900,19098,19110,19221,19386,19824,20560,20637,20695,21356,21457,22054,22186,22285,23196,23247,23341,23404,23571,23601,23734,24429,24532,24629,24638,24760,24890,25195,25565,25759,25811,25946,26363,26703,26749,27255,27362,27573,27736,27825,27949,28066,28076,28097,28138,28274,28400,28407,28518,28846,28979,29102,29314,29669,29751,30021,30175,30231,30361,30532,30631,30740,30932,30998,31000,31311,31324,31456,31554,31918,31957,31998,32037,32058,32144,32202,32400,32647,32744,32997,33241,33413,33434,33434,33498,33681,33692,33827,33882,33996,34105,34127,34212,34356,34652,34775,34993,35026,35261,35286,35523,35591,35889,35907,35998,36046,36074,36660,36733,36882,36910,36970,37257,37386,37483,37530,37581,38146,38258,38992,39014,39140,39311,39321,39401,39407,39475,39492,39676,40000,40024,40194,40397,40414,40429,40567,40703,40806,41015,41116,41137,41142,41492,41565,41583,41590,41784,41897,42388,42643,42869,42950,43353,43469,43755,44069,44167,44169,44438,44533,44568,44846,44859,44979,45068,45120,45225,45463,45677,45692,46082,46102,46481,46637,46652,46868,46907,46970,47112,47223,47230,47241,47284,47305,47716,48057,48072,48293,48455,48457,48475,48885,49263,49382,49533,49733,49953,49953,50175,50278,50473,50572,50594,50714,50772,51040,51055,51184,51374,51495,51705,52116,52146,52193,52551,52630,52753,53102,53145,53265,53324,53422,53786,53823,54055,54323,54341,54497,54527,54578,55103,55119,55229,55408,55486,55488,55722,55750,55918,56061,56231,56513,56577,56786,57298,57322,57872,58773,58997,59037,59185,59223,59792,60029,60070,60330,60459,60562,60604,61092,61391,61484,61508,61526,61677,61745,61745,61999,62103,62179,62296,62362,62386,62515,62900,62943,63055,63433,63446,63547,63655,63870,63897,64143,64332,64355,64644,64761,65218,65342,65449,65554,65579,65696,65722,65906,66191,66353,66559,66976,67011,67055,67083,67306,67525,67621,67728,67800,67827,67926,68061,68152,68462,68547,68751,68779,68927,69092,69154,69474,69588,69673,69676,69678,69741,69926,70020,70044,70565,70667,70894,71038,71159,71502,71559,71577,71766,71776,71896,72146,72258,72365,72372,72467,72776,73262,73325,73471,73555,73579,73835,73873,74065,74071,74307,74447,75015,75171,75274,75366,75790,76192,76234,76413,76553,76558,76636,76733,76814,76933,76942,77112,77159,77308,77373,77398,77732,78140,78549,78641,78787,78796,79194,79258,79398,79576,79637,79638,79646,79844,80010,80115,80521,80599,80826,81175,81280,81383,81516,81667,81927,82238,82245,82349,82861,82946,82973,83374,83530,83595,83755,83812,83834,83862,84371,84643,84660,84828,85142,85814,85824,86062,86311,86367,86682,87073,87182,87493,87757,88098,88214,88285,89201,89290,89365,89589,89864,89895,89983,90282,90387,90396,90506,90630,90807,90824,90943,91018,91045,91267,91322,91471,91650,91717,91921,92223,92309,92389,92649,92923,92990,93285,93461,93602,93782,93804,93974,94194,94670,94805,94892,95004,95200,95243,95482,95508,96166,96472,96523,96697,96726,96728,97430,97446,97624,97715,97914,98064,98331,98426,99318,99349,99362,99587,99674,99753,99755}

Returns: 1035131
{0,1,2,3,4,5,5,7,7,8,10,11,11,11,11,10,16,17,15,15,20,21,19,12,18,16,23,27,28,26,28,31,25,22,34,29,31,17,24,34,40,33,39,37,41,37,44,40,39,48,45,44,51,40,54,48,49,52,51,54,53,42,50,57,63,65,64,66,67,65,70,61,44,71,61,72,76,51,67,59,75,79,60,83,84,63,84,86,75,83,62,85,90,83,79,89,50,91,94,95,69,67,102,93,93,93,88,87,103,104,105,111,100,76,113,107,112,107,109,119,107,105,114,107,122,121,90,89,112,90,114,115,126,127,132,119,135,137,108,136,120,107,128,131,124,129,117,138,131,143,149,150,148,149,147,132,147,153,153,155,78,156,134,149,164,159,128,137,128,149,142,147,146,153,169,164,166,172,154,166,138,158,143,179,179,140,144,163,169,122,183,162,173,168,184,177,189,151,183,190,182,168,190,193,110,204,194,198,208,190,208,206,187,197,114,203,206,174,175,202,182,197,195,134,199,198,164,207,213,205,124,211,165,233,234,232,233,228,216,230,202,234,96,202,228,225,215,239,180,229,218,216,187,238,215,208,234,252,255}

{30,689,1125,1170,1423,1535,1791,2065,2091,2399,3399,3643,3688,3771,4227,4276,4314,4655,4873,4942,5325,5366,5411,5468,6218,6741,6958,7682,8360,8422,8461,8607,8849,8900,10058,10586,11423,11580,11736,12043,12646,13003,13436,14108,14197,14218,14437,15483,15676,16028,16442,17134,17467,17514,17572,18309,18773,18838,18874,19179,19416,20312,21707,21707,21753,22096,22217,22276,22816,23991,24613,25406,25687,25723,26086,26669,27129,28182,28208,28413,28947,28956,29058,29271,29992,31040,31271,31650,31961,32116,32305,32400,32449,32477,32710,32862,32918,32964,33031,33168,33277,33295,34991,35788,35802,36205,36474,37000,37434,37534,37683,37909,38017,38810,39842,40852,42366,42584,42693,42787,42815,43518,44314,44323,45049,45472,45590,46028,46176,46297,48226,48238,48726,48919,49713,49983,50119,50184,50397,50934,51324,51429,51574,51847,52173,52213,52213,52465,52592,53160,54155,54984,55589,56820,56875,57076,57619,58212,58606,58619,58727,58801,59701,59845,60861,60962,61007,61326,61591,61701,61708,61863,62777,64987,65944,66212,66240,66382,66387,67037,67164,67217,67347,67403,69034,70115,70328,70781,71605,72249,73739,74470,74474,74551,74960,75427,75927,76289,76348,76450,76496,76834,77509,77727,78100,78875,79433,79567,79586,81167,81250,81527,81917,82530,82723,83413,83520,84565,84798,86060,86407,86496,88148,88192,88266,88421,88844,88880,88894,89111,89229,89780,90166,90740,90981,91038,91150,91410,91917,92363,92637,92897,93507,93629,93798,93925,94008,94124,94430,95340,95583,97509,97536,97574,97700,97800,97838,98160,98595,98918}

Returns: 400979
{0,1,2,3,4,5,6,7,8,7,9,11,12,13,14,10,16,14,14,13,20,21,22,23,23,24,25,23,24,29,26,31,22,26,31,31,34,36,34,38,36,37,40,38,41,44,44,31,46,40,49,39,50,47,54,54,56,53,54,56,57,35,60,63,59,64,60,67,62,68,59,71,59,38,66,70,60,73,73,77,76,76,71,77,83,82,80,87,86,87,71,79,91,85,94,81,89,86,97,95,92,91,98,101,104,105,105,104,102,106,110,85,104,100,109,111,105,111,79,115,109,114,110,119,116,122,107,124,115,106,120,89,132,125,123,111,124,134,125,139,117,137,109,143,117,144,144,147,143,145,126,143,146,134,149,152,136,149,130,158,125,157,151,156,148,144,117,141,167,163,170,159,168,168,159,171,169,160,168,179,144,156,179,165,173,148,162,120,175,186,184,179,173,193,191,183,123,195,174,184,186,198,176,166,167,191,197,204,177,162,205,158,209,193,181,180,188,216,212,198,193,212,163,210,179,186,201,225,223,218,227,194,219,209,226,224,221,213,207,214,240,239,242,238,223,232,196,242,235,237,225,236,203,246,225,248,231,255,256,259,233,200,262,251,241,260,266,266,241,245,216,252,263,268,274,223,273,263,273,264,276,250,259,237,273,275,240,269,208,261,195,286,286,290,228,268,246,283,281,291,257,283,291,230,304,280,304,291,300,257,284,293,303,284,286,315,238,313,213,317,279,318,292,264,323,306,318,258,268,275,254,328,327,242,261,292,333,333,305,242,332,302,318,315,309,304,324,336,287,342,347,349,205,353,339,343,332,288,358,357,331,361,348,356,332,335,308,325,311,362,347,340,316,342,363,374,368,308,370,352,379,309,343,355,373,289,370,372,387,266,382,367,340,372,365,372,388,288,377,381,390,376,398,318,392,401,324,400,380,368,391,363,334,408,408,383,404,333,400,340,349,347,394,422,398,374,420,385,406,408,426,398,408,327,355,419,358,419,435,432,378,409,421,413,343,438,419,435,437,402,440,416,445,426,416,398}

{1,297,1213,1450,1453,1596,1778,2190,2265,2812,2879,3067,3312,3345,3776,3790,4055,4239,4491,4790,4967,5064,5228,5377,5523,5547,5951,5970,5979,6490,6527,6582,7043,7464,7546,7691,7710,8010,8325,8989,9492,9742,10054,10187,10232,10275,10371,10455,10661,10761,10784,10869,11030,11357,11365,11595,11646,11674,12704,12722,13070,13151,13294,13526,13867,13894,14605,14646,14669,14718,14921,14956,15357,15371,15424,16072,17190,17272,17483,17778,17782,17815,17863,17929,18038,18109,18275,18593,18648,19176,19218,19518,19555,19630,19656,19985,19986,20045,20354,21252,21339,21360,21382,21772,21871,21928,21972,22080,22243,22769,23011,23159,23218,23305,24090,24230,24933,25589,25826,25902,25927,26202,26650,26781,26930,26974,27192,27443,27470,27734,27761,28078,28385,28461,28605,28785,28917,29064,29073,29171,29427,29478,29651,29779,30253,30662,31138,31178,31201,31683,31829,31887,31905,32094,32117,32443,32625,33475,33555,33625,33930,34796,34846,35554,35627,36429,37072,37264,37445,37665,37695,38072,38220,38287,38434,38478,38834,39498,39707,39716,39842,40083,40183,40244,40307,40353,40396,40397,40534,40704,40721,40812,41500,41857,42534,42819,42856,43330,43529,43790,43967,44138,44502,44545,44712,44743,45026,45200,45516,45680,46089,46197,46292,46604,47367,47990,48012,48393,48475,48506,48598,48846,48888,48913,49212,49212,50720,50870,50879,50905,50924,51062,51446,51540,51552,51580,51680,52165,52449,52522,52560,52626,52639,53478,53481,53721,53905,53948,54068,54144,54255,54290,54507,54798,54925,55185,55223,55305,55990,56011,56200,56256,56316,57001,57219,57453,57473,57716,57749,57806,58010,58027,58244,58406,58567,58704,58786,58882,58970,59294,59470,59754,60046,60097,60328,60690,60742,61099,61359,61565,61692,61852,62015,62420,63177,63224,63279,63467,63469,63623,64326,64370,64669,64931,64938,65322,65522,65592,65765,66825,67216,67664,67675,68483,68618,68704,69015,69250,69346,69347,69497,69876,70702,71146,71287,71454,71508,71761,71919,72232,72525,72578,72876,73068,73776,73932,73946,74696,75011,75118,75470,75635,75726,75849,76094,76192,76258,76414,76514,76729,76785,77210,77465,77483,77501,77568,77992,78064,78098,78131,78280,78393,78445,78465,78570,78985,79193,79213,79263,79317,79365,79473,79512,79965,80817,80943,81173,81197,81678,81957,82327,82439,82544,82824,82977,83031,83042,83154,83177,83823,83862,83911,84030,84089,84478,84689,84853,85689,85961,86073,86103,86276,86293,86331,86551,87138,87211,87378,87385,87853,87954,88272,88397,88478,89177,89350,89360,90054,90221,90456,91148,91361,91432,91909,92120,92391,92491,92731,92918,93015,93862,94082,94241,94275,94362,94536,94672,94896,95410,95502,95735,96613,97095,97157,97583,97689,97780,98479,98542,98844,98964,98997,99162,99387,99550,99696,99960}

Returns: 501418
{0,0,1,0,0,1,0,1,4,2,1,0,5,0,1,2,6,1,0,8,2,1,1,2,7,12,0,4,17,11,8,1,8,4,5,5,6,10,7,4,1,3,12,13,16,8,19,0,10,2,21,29,1,1,0,18,28,1,7,18,11,12,4,11,0,26,10,8,12,17,19,34,26,15,0,14,6,22,5,50,56,3,22,6,3,26,10,1,8,1,7,37,32,0,7,46,18,37,4,16,2,15,59,12,36,18,1,25,12,22,47,38,9,37,9,16,7,9,27,8,10,9,45,77,38,28,37,29,14,16,51,53,16,5,13,31,24,4,23,4,10,74,3,17,1,18,44,52,25,22,19,20,91,26,98,57,4,32,22,30,9,31,0,12,32,32,13,8,40,5,7,23,48,3,41,58,17,50,71,69,30,80,18,30,62,77,12,30,27,30,22,10,27,55,39,34,17,27,72,25,56,9,14,21,40,42,27,15,29,48,19,16,44,8,4,63,1,73,41,28,121,79,134,79,114,32,32,27,32,19,38,28,140,29,5,39,138,23,77,4,11,87,44,5,44,56,24,34,136,103,44,35,44,95,146,14,47,158,114,77,5,33,91,23,155,50,7,23,46,169,132,11,22,76,68,107,10,10,51,4,116,32,16,40,73,3,63,108,47,5,15,9,81,5,20,172,9,41,54,19,19,33,6,89,10,66,56,6,25,44,112,58,44,5,107,2,100,86,150,39,60,17,14,48,80,18,12,48,142,103,3,12,80,22,26,41,41,5,35,115,76,50,30,3,32,22,159,67,24,0,43,199,26,174,63,114,170,36,85,77,161,4,101,165,115,13,62,99,60,57,11,55,32,22,12,82,1,252,172,3,3,27,10,26,2,178,25,0,55,83,20,123,18,78,11,191,75,48,105,45,79,60,7,27,84,32,22,7,97,50,16,111,27,175,149,234,4,184,12,107,22,31,15,99,238,13,78,254,4,12,96,7,12,43,139,60,138,76,122,35,251,8,25,32,35,1,28,119,54,213,179,55,60,12,0,69,94,34,109,42,213,116,111,6,149,270,61,0,4,112,55,104,147,26,55,112,171,147,258,82,108,155,95,50,2,8,1,36,145,85,81,90,156,140,146,99,11,106,171,65,12,0,54,32,33,170,180,11,80,24,55,159,106,151,14,296,13,70,17,55,5,281,82,62,64,48,111,50,89,113,233,79,90,272,119,1,46,27,17,211,36,98,48,294,183,4,210,125,90,187,75,27,24,74,23,226,143,144,68,84,24,112,50,49,87,47,52,117,83,97,107,307,150,14,80,246,41,357,17,30,201,12,152,48,141,5,57,112,115,3,73,248,19,218,29,127,186,60,31,260,6,82,235,12,136,324,191,382,247,48,7,101,242,67,185,292,191,244,22,223,27,134,18,68,123,64,81,141,3,185,29,123,4,123}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,8,9,10,10,10,10,10,10,10,11,11,11,11,12,12,13,13,13,13,13,13,14,14,14,15,15,15,15,16,16,17,17,17,17,17,18,18,18,19,19,19,19,21,21,22,22,22,23,23,24,24,24,24,24,25,25,25,25,26,26,26,26,28,28,29,29,30,33,33,33,35,36,36,37,37,40,42,42,42,42,44,44,45,45,46,46,47,49,49,50,51,51,53,54,55,55,55,56,56,57,58,58,61,62,62,63,64,65,65,66,68,69,70,74,78,80,80,81,88,89,89,90,91,92,92,93,95,96,96,102,103,103,104,106,108,108,110,111,113,113,113,115,118,122,124,128,133,139,141,141,144,150,151,156,162,165,176,176,176,185,188,188,192,198,207,209,213,213,215,219,223,225,230,239,239,241,244,246,254,255,256,262,262,263,266,269,275,278,283,289,319,327,333,339,342,348,351,352,355,374,381,382,385,387,393,408,409,418,423,433,434,439,451,459,489,494,508,515,516,525,526,535,540,541,551,562,569,574,579,582,584,588,589,592,603,641,642,659,669,679,685,691,701,714,735,750,756,787,816,817,861,874,876,888,889,891,913,927,936,944,960,969,972,975,980,1055,1062,1079,1082,1088,1091,1114,1119,1146,1181,1187,1235,1259,1269,1281,1287,1322,1341,1349,1493,1496,1503,1510,1529,1536,1543,1549,1572,1621,1637,1657,1683,1685,1706,1710,1746,1753,1759,1769,1780,1913,2029,2083,2132,2162,2199,2201,2361,2378,2384,2456,2471,2485,2662,2668,2683,2903,2949,2962,2979,2983,2988,2995,3176,3212,3222,3281,3305,3306,3535,3569,3661,3740,3823,3824,3844,3956,3990,4035,4050,4154,4273,4479,4555,4576,4665,4803,5181,5198,5290,5355,5428,5462,5504,5560,5758,5831,5977,6381,6395,6436,6579,6683,6831,6868,7190,7224,7594,8163,8187,8201,8252,8594,8725,8880,9384,9668,9686,9718,10315,10327,10561,10575,10626,10671,10786,10818,10931,11025,11035,11307,11523,11563,11784,11842,11895,12272,12363,12443,12523,12591,12842,13075,13318,13720,13853,13975,14388,14885,15057,15239,15243,15338,15394,15447,15827,16033,16960,17522,17860,17936,18164,18260,19046,19293,19539,19763,20140,20433,21084,21246,21714,22573,22816,22861,22945,22958,23255,24440,24818,25040,25603,25743,26033,26209,26999,27051,28329,30335,30344,30780,31415,31605,32700,34086,35043,35140,35218,35456,35609,36849,38338,39442,40613,41104,41227,41944,42076,42891,42942,43267,43774,43808,44973,46441,47396,47610,48400,48726,49736,50251,50983,52027,54025,54452,54657,55373,55948,56247,56564,58354,59132,61780,61969,62515,64176,66773,68387,68587,69620,70155,70348,73071,73688,74570,76148,76495,81874,83637,84623,85465,87420,87809,88013,88988,90384,97240}

Returns: 269394
{0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,3,3,4,0,2,2,1,0,2,2,3,4,0,1,1,1,0,5,0,1,6,9,4,4,2,8,1,0,7,3,0,3,7,0,3,5,5,2,2,2,5,3,6,1,2,2,7,3,11,0,1,4,1,4,12,2,16,0,20,7,3,2,15,1,8,5,14,10,3,17,6,1,2,14,1,7,3,13,4,6,3,13,1,3,2,20,5,20,5,5,3,42,29,3,3,14,2,2,20,6,5,12,4,0,6,10,3,30,13,45,35,12,13,9,11,18,1,1,12,28,25,0,2,10,3,38,12,46,1,14,19,13,22,21,42,40,10,2,11,20,3,20,1,8,9,6,7,9,15,32,16,20,1,11,9,6,14,32,7,6,23,26,17,0,13,16,9,21,1,1,4,4,24,5,30,8,0,23,40,16,41,8,13,16,3,18,41,12,4,5,40,12,18,6,11,30,34,8,19,1,50,0,49,12,80,42,0,22,13,35,33,11,77,49,36,25,21,64,51,85,58,25,4,32,2,3,30,11,42,16,32,3,0,14,9,35,10,46,6,34,38,21,46,41,43,63,21,3,9,15,6,5,35,4,16,23,39,12,1,31,6,14,49,22,20,31,12,34,64,5,47,2,3,52,31,91,42,29,42,78,27,14,43,7,1,0,10,56,74,6,67,3,23,11,100,3,19,7,7,5,14,132,107,38,13,2,49,36,11,13,25,1,9,8,48,66,0,23,1,35,108,11,21,4,67,3,61,24,39,51,42,18,10,24,43,26,114,51,1,19,8,9,17,8,13,79,19,15,58,1,5,110,30,50,14,5,19,15,129,46,11,15,1,15,42,22,28,42,24,100,4,3,5,15,51,41,14,9,0,15,196,65,31,52,37,1,58,29,65,70,40,48,23,84,117,29,166,13,6,18,40,31,77,45,7,43,35,12,194,91,4,146,25,55,122,32,26,103,86,98,55,97,56,43,16,22,6,164,9,0,4,32,118,105,8,48,4,50,8,75,56,25,77,0,42,10,3,11,143,61,45,37,26,137,25,127,1,91,9,20,11,52,65,103,6,32,8,11,49,18,0,15,1,10,15,119,52,41,26,35,54,86,47,71,53,51,12,18,11,2,21,128,24,58,9,18,13,40,63,49,5,160,17,63,2,73,10,47,112,8,7,32,125,85,22,71,29,62,53,14,6,0,40,6,52,127,75,54,16,54,58,142,72,110,99,58,75,75,49,14,15,14,83,130,78,5,97,67,33,23,3,0,89,73,65,20,194,67,38,85,85,61,3,77,1,39,73,68,63,0,45,24,98,21,70,9,52,55,21,44,171,44,2,103,158,19,4,0,4,26,154,26,5,146,24,124,155,76,56,134,79,25,74,42,62,177,6,35,121,107,59,22,2,108,36,20,160,94,159,46,25,42,50,8,136,53,22,62,8,0,13,20,145,8,65,141,169,15,51,40,257,3,120,12,39,19,56,43,63,8,128,54,158,14,77,15,42,50,23,98,39,40,97,38,12,91,19,70,105,53,141,21,5,75,12,69,81,15,146,110,263,62,48,102,23,21,8,195,102,110,108,56,79,158,7,62,38,49,21,127,32,45,11,130,81,109,10,23,106,268,139,104,61,79,126,22,26,17,0,103,57,89,56,163,10,89,53,51,82,50,59,80,34,23,136,227,47,8,35,57,3,11,21,39,67,233,2,102,5,184,3,5,33,87,134,36,25,141,31,4,136,81,25,20,104,43,5,311,157,179,108,121,0,161,26,245,41,86,10,128,14,78,92,11,65,123,146,26,11,95,9,246,26,182,147,23,87,318,63,29,11,59,274,48,9,35,117,53,46,174,293,30,26,16,10,16,11,198,338,154,155,88,78,33,78,35,77,271,72,76,186,193,202,107,48,154,53,60,52,9,21,174,94,31,106,111,106,27,24,50,218,38,86,6,432,191,100,177,89,14,25,122,141,65,50,52,39,60,89,125,131,38,106,68,152,172,66,45,129,27,192,42,19,109,42,99,111,74,177,96,136}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,12,12,12,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,16,17,17,17,18,18,19,19,19,20,20,20,20,20,20,21,21,21,21,22,22,22,22,23,23,23,23,24,24,24,24,24,25,25,25,25,25,25,26,26,27,27,27,27,27,28,28,28,28,28,28,29,30,30,30,31,31,31,32,34,35,35,35,36,36,36,37,37,37,37,38,38,39,39,40,40,41,42,42,42,43,44,45,45,45,46,46,46,47,48,49,50,50,50,51,52,53,53,54,54,55,56,56,56,57,57,58,59,60,60,62,63,65,65,65,66,66,69,69,70,71,71,71,72,73,74,76,77,77,78,79,80,80,81,84,84,88,89,93,93,96,97,98,99,100,102,103,103,104,104,107,108,108,111,111,111,113,113,114,117,119,120,122,123,124,124,126,127,128,130,130,132,135,136,139,139,139,141,145,146,149,155,158,160,167,168,170,174,174,180,181,181,182,183,185,185,187,187,189,190,190,194,194,195,195,197,198,205,205,209,209,215,215,216,216,223,224,225,226,227,227,228,230,237,237,239,241,245,250,255,257,257,265,266,267,274,275,284,284,286,292,293,300,301,301,304,305,306,313,320,327,330,355,361,363,374,377,382,386,387,392,410,413,415,421,439,459,462,469,470,478,485,488,495,496,500,500,506,511,521,525,526,533,535,542,551,553,568,570,570,571,577,582,582,582,589,604,613,621,624,631,647,655,663,673,681,684,687,701,723,793,804,808,810,827,832,840,847,865,879,883,886,892,913,918,923,927,933,961,963,970,1016,1033,1035,1035,1066,1073,1077,1111,1115,1119,1123,1151,1155,1196,1230,1279,1303,1316,1321,1348,1374,1403,1403,1406,1428,1434,1436,1442,1443,1463,1479,1490,1504,1543,1568,1575,1578,1692,1698,1709,1763,1803,1835,1839,1898,1959,1960,1973,1979,1995,2032,2041,2054,2064,2080,2106,2112,2150,2153,2217,2221,2230,2232,2291,2291,2316,2328,2349,2362,2377,2377,2402,2413,2416,2429,2466,2486,2517,2543,2569,2569,2575,2644,2787,2878,2926,2975,3102,3118,3131,3157,3166,3197,3274,3315,3434,3465,3488,3495,3552,3643,3790,3917,3951,4124,4300,4319,4347,4654,4673,4692,4930,4935,4943,4948,4982,5177,5223,5369,5411,5496,5531,5690,6023,6127,6523,6614,6667,6670,6692,6729,6773,6793,6794,6825,6834,6846,6914,6937,7133,7178,7200,7221,7221,7239,7653,7836,7889,8020,8071,8230,8356,8429,8507,8543,8731,8794,8984,9070,9187,9201,9362,9410,9470,9503,9572,9840,9856,9878,9939,9939,9988,10009,10027,10068,10237,10350,10422,10634,10684,10841,11281,11714,11838,11851,11907,12093,12203,12240,12313,12412,12537,12634,12806,12928,13011,13178,13488,13536,13648,13661,13725,13730,13775,13894,14111,14192,14395,14942,15074,15096,15465,15677,16053,16155,16204,16442,16702,16869,16958,17010,17042,17364,17535,17587,17751,17810,17992,18403,18530,18652,18657,18891,18966,19002,19270,19477,19523,19532,19579,19924,20311,20566,21023,21104,21728,21780,21991,22149,22295,22590,22690,22762,22919,22926,23291,23418,23421,23628,24777,25167,25178,25194,25662,25806,26216,26512,26724,26828,27065,28130,28250,29644,30062,30421,30667,31500,32000,32336,32976,33443,33815,33920,34536,34678,34990,35423,37301,37804,38312,39348,39354,40091,40224,40239,41044,41669,41929,41954,42100,42327,42366,42385,42825,42972,43017,43236,44101,44643,44739,45761,45803,46614,47791,48542,48665,50557,52217,52636,52692,53844,54219,54630,56163,56432,56455,57498,60857,61246,64307,64910,65645,65649,66676,67696,67759,68488,68718,69292,69727,70195,70587,73509,74354,74452,74577,75294,75531,75656,77244,77933,79404,80724,84848,85333,85542,85899,87899,88457,89717,91093,93888,94383,96385,97697,97747,98831}

Returns: 195984
{0,1,2,3,4,5,6,7,7,9,10,9,11,13,14,10,14,17,18,19,20,19,20,21,22,24,24,27,26,24,19,29,32,29,33,26,36,37,33,39,36,40,40,42,41,29,44,44,44,49,50,49,52,53,46,54,51,39,57,59,59,53,46,61,60,60,63,57,64,49,65,70,59,70,69,68,69,66,75,73,53,77,81,82,69,67,83,82,77,83,85,79,62,92,82,88,89,94,95,98,97,98,97,91,95,94,94,104,78,104,107,98,106,100,114,103,103,116,113,108,107,115,90,108,118,122,111,90,108,125,128,128,109,126,120,123,123,137,134,135,139,125,140,138,117,120,146,136,118,141,142,114,142,121,133,138,150,119,154,159,158,161,155,142,158,165,149,161,158,156,151,134,168,167,166,125,171,158,153,146,157,166,178,182,160,122,177,182,177,146,185,128,182,190,145,190,164,184,187,128,170,175,155,198,200,168,191,178,206,202,200,205,208,198,211,209,209,185,217,176,191,195,218,200,211,225,186,186,227,213,210,230,180,170,185,230,234,228,231,208,235,232,216,231,216,227,237,247,219,227,238,249,209,253,188,226,244,236,226,225,205,253,250,254,242,257,253,254,261,268,259,262,257,266,207,256,251,267,256,278,253,201,253,250,168,247,275,251,285,280,283,267,289,248,276,256,284,262,293,282,287,270,219,232,276,295,287,277,216,273,308,253,278,261,312,295,184}

{100,135,452,787,1192,1573,2196,2582,2803,3724,3871,4053,4130,4190,4297,5071,5729,6184,6199,6257,6510,6527,6898,7825,8093,8277,8762,9241,9376,10510,11177,11369,11876,12461,12519,12649,12665,13342,14565,14941,15120,15429,15670,15750,15858,16186,16482,16564,16824,17145,17279,17356,17384,17386,17728,17873,17903,18629,18738,18813,18851,19062,19195,19528,19970,20191,20254,20316,20721,20948,20970,21064,21288,21582,21683,21956,22774,23042,23105,23784,24273,24616,24880,24979,24981,25732,26317,26591,26628,26798,27335,27739,28620,28933,29456,29520,29724,29983,30324,30359,30365,30551,30593,30732,30883,31071,31756,32253,32384,32757,33166,33459,33636,33935,34014,34407,34635,35274,35678,36076,36150,36156,36641,36790,37207,37671,37809,37880,38346,38717,39016,40053,40064,40262,40437,40490,40579,40676,40963,41000,41340,41720,41725,41738,41788,41879,41969,42095,42481,42621,43527,44526,45050,45187,45196,45376,45575,45892,46240,46320,46598,47355,47616,47696,48587,48662,48903,49020,49294,49301,49424,49610,49626,49875,49970,50075,50093,50707,51504,52084,52686,53353,53411,53513,53824,54017,54482,54685,55273,55677,55825,55876,55896,56172,57180,57259,57627,57671,57688,57787,58510,58806,59134,59143,59436,60456,60704,60912,60961,61098,61584,62266,62862,63921,64027,64086,64089,64391,64705,65116,65682,65790,66449,66551,66956,67450,67540,68436,68535,68821,68963,69771,71059,71263,72331,73050,73070,73600,73724,73822,74074,74220,74370,74696,74810,74833,74942,74949,75359,75796,76057,76334,77405,77580,78572,79862,80792,81776,81968,82108,82293,82800,82826,84560,84874,84914,84953,85490,85834,85957,85957,86256,86528,87083,87306,87527,87556,87603,87631,87663,87823,88176,88541,88688,88714,89180,89480,89662,90517,90539,90820,91393,91809,92135,92144,92361,92386,92887,93401,93893,94126,94225,94274,95846,95871,96175,96199,96218,96590,96746,97134,97896,98413,98417,98741,99200,99852,99970}

Returns: 599745
{0,0,0,0,0,0,1,0,0,2,3,2,3,1,0,1,0,0,0,0,2,0,0,1,0,1,1,2,0,4,2,0,3,2,0,0,0,4,1,0,6,1,14,3,0,2,6,6,2,2,13,1,1,16,6,7,4,1,5,1,9,11,6,1,16,0,14,3,15,7,8,8,3,5,7,1,6,16,5,4,4,9,2,3,9,9,20,10,24,10,7,11,10,0,13,12,11,9,15,32,5,4,10,0,13,0,5,31,6,10,1,1,17,14,29,17,9,5,9,9,6,4,7,27,2,0,22,18,14,8,5,18,29,23,30,9,24,41,0,8,8,21,2,16,7,39,4,7,0,9,18,16,21,12,23,38,1,6,9,17,14,2,9,3,4,30,22,3,16,18,6,10,7,19,1,5,2,25,9,23,73,15,19,20,12,54,55,14,13,4,15,3,30,20,4,9,1,18,37,3,3,6,29,26,24,1,25,9,28,18,4,13,0,8,1,27,23,13,13,20,2,13,93,78,17,18,7,3,5,1,7,44,59,2,6,27,3,3,41,13,5,1,79,11,16,4,75,11,22,25,48,33,17,7,56,15,59,70,2,16,32,1,25,18,21,28,16,15,7,36,46,0,4,67,3,1,22,10,7,65,10,37,100,66,11,69,17,89,19,2,3,43,78,38,66,1,46,24,33,16,21,71,90,57,0,14,72,10,7,82,11,24,41,2,21,10,103,44,207,12,69,30,22,8,34,13,46,71,27,57,6,9,52,19,40,15,96,84,64,8,30,58,13,130,65,27,1,39,47,8,4,2,0,19,28,99,2,93,8,67,19,41,103,41,5,28,21,47,106,23,6,33,49,140,62,40,47,48,95,17,6,1,5,24,11,79,35,83,12,11,46,51,8,11,42,0,145,14,41,16,15,23,33,2,39,89,5,37,75,85,118,37,29,114,56,21,86,7,15,70,108,70,11,28,16,23,65,32,83,29}

{75,637,686,709,891,1004,1014,1540,1704,1758,2540,2580,2687,2881,3059,3323,3908,4323,4399,4429,4562,5138,5314,5323,6220,6247,6394,6435,6591,6879,7476,8046,8327,8871,8916,9057,9087,9372,9689,9910,10687,10869,11030,11419,11738,11886,12076,13383,13417,13496,13600,13637,13818,13844,14447,14810,14947,15404,15515,15663,15664,15751,15762,15830,16844,16916,17031,17213,17577,17621,17966,18072,18298,18407,18635,18839,19057,19490,19598,19842,20081,20363,20734,20891,21070,21164,21389,21410,21773,22090,22354,22414,22646,24181,24975,24978,25121,25300,25649,25687,25728,25830,25897,25962,26031,26744,26771,26788,27489,27505,27939,28007,28084,28406,28512,28798,29061,29402,29644,29821,30282,30362,30693,30695,30747,31277,31806,32045,32485,32656,32685,32906,33062,33923,34213,34221,34643,34790,35048,35232,35430,35658,35852,35967,36065,36473,36599,36679,36706,36738,36940,37376,37391,37549,37678,37922,38281,38756,38923,39054,39126,39328,39999,40094,40363,40489,40617,40640,40850,40896,41498,41502,41789,41804,42004,42066,42253,42910,43011,43361,43440,43595,44703,44751,44763,45084,45780,46019,46152,46248,46474,46659,46755,46960,47134,47477,47484,47823,48164,48980,48985,49542,49623,49700,50071,50087,50254,50324,50693,50703,50844,50879,51082,51146,51298,51513,51566,51720,51925,52039,52198,52254,52338,52848,53036,53539,53616,53638,53943,54100,54248,54420,54439,54854,55118,55162,55180,55226,55249,55515,55693,55712,55899,56207,56349,56404,56465,56512,56974,57048,57073,57527,57730,57745,58000,58013,58039,58233,58607,58803,59110,59132,59142,59179,59419,59638,59986,61164,61280,61333,61345,61562,61738,61825,61962,62532,63172,63207,63209,63368,63478,63661,63788,64216,65100,65290,65521,65663,66631,66786,67215,67303,67308,67336,67431,67549,67604,67660,67729,67748,67824,68576,68704,69131,69191,69194,69280,69661,69957,70144,70333,70613,70817,72087,72117,72218,72295,72537,72757,73414,73972,74302,74548,74647,74890,75231,75413,75531,75796,76104,76421,77057,77201,77253,77644,77695,77874,78129,78184,78398,78438,78463,78501,78521,78635,78740,79100,79377,79707,79850,80292,80305,80751,80768,81287,81638,81987,82256,82313,82721,82865,83131,83299,83333,83749,84223,84531,84623,84733,85526,85534,85624,86189,86332,86562,86680,86698,86943,87338,88024,88207,88679,88809,88839,89101,89261,89495,90175,90278,90468,90640,91034,91487,91580,91623,91716,91778,92170,92233,92387,92707,92826,94033,94171,94225,94317,94546,94811,94821,95690,96081,96164,96513,97149,97736,97786,97825,97843,98079,98256,98274,98326,98931,99000,99141,99176,99432,99639,99647,99750,99762}

Returns: 898629
{0,1,2,2,4,5,5,5,4,9,10,11,8,13,11,15,14,17,14,19,20,16,22,16,15,22,26,27,25,23,23,24,32,30,34,34,32,34,38,34,39,36,26,42,43,38,44,38,42,43,42,47,51,38,34,54,50,44,52,58,39,44,62,58,62,47,64,52,61,68,57,63,52,58,66,42,69,76,60,60,75,77,81,70,83,75,84,73,65,62,84,87,90,80,63,71,65,59,95,97,87,98,77,102,102,76,75,106,88,95,98,94,105,87,87,114,108,115,110,82,87,112,119,111,89,121,122,126,72,129,107,94,124,122,130,106,111,136,104,121,124,138,124,136,141,141,146,117,137,133,134,128,138,132,150,147,140,139,150,148,123,146,161,96,145,163,127,164,165,134,151,146,140,113,123,162,135,140,167,176,171,179,179,180,179,181,170,185,125,167,188,191,161,173,183,168,188,149,184,108,189,164,180,188,201,174,192,142,170,134,202,144,184,207,203,206,149,205,210,214,195,207,153,223,222,197,221,167,187,219,228,230,187,232,173,229,225,221,226,157,230,226,242,237,193,207,229,184,241,210,250,246,242,232,204,246,232,241,243,255,186,220,254,262,232,202,170,257,253,246,217,201,254,252,252,225,256,242,259,231,276,267,182,271,256,285,279,279,247,266,232,272,252,255,273,257,258,201,248,293,240,294,187,279,295,287,302,281,264,212,250,267,279,289,271,295,196,282,314,252,258,304,167,304,250,316,241,307,310,255,278,269,326,291,274,333,330,281,226,189,286,196,337,269,324,340,331,288,342,269,279,311,324,343,255,310,313,351,236,215,340,270,361,299,293,332,353,327,367,316,369,258,371,357,330,294,360,352,296,307,371,314,332,382,363,352,378,368,381,252,355,297,370,256,298,323,383,362,389,385,316,359,377,306,367,366,374,352,267,382,265,367,339,401,392,284,350,310,411,398,323,246,350,423,404,365,380,264,363,413,407,421,403,396,335}

{155,390,883,976,1047,1175,1291,1567,1647,1887,2306,2310,2409,2567,2638,2700,2935,3217,3949,4055,4069,4107,4264,4624,4954,5026,5250,5253,5595,6474,6615,6671,6830,7046,7225,7953,8166,8337,8843,9198,9303,9431,9511,9754,9759,10033,10314,10322,10378,10571,10760,10776,10792,11184,11772,11802,12047,12566,12580,12703,12891,13482,13518,13630,13698,13874,13985,14641,14966,15219,15401,15759,16296,16345,16517,16896,16954,17029,17098,17248,17310,17780,17905,18092,18264,18283,18300,18321,18412,18439,18721,19071,19196,19343,19986,20182,20514,21571,22082,22480,22553,23283,23334,23366,23404,23822,24159,24411,24441,24473,24675,25152,25315,25558,26020,26469,26551,26559,27020,27249,27251,27580,27641,27644,27928,28110,28296,28337,28650,28706,29216,29279,29362,29465,30017,30475,30971,31228,31288,31496,31659,31661,31815,31822,31827,32052,32394,32574,32759,33427,33652,33707,33783,34150,34177,34562,34653,34801,35616,35642,35738,36345,36354,36700,36769,36861,37024,37392,37463,37800,38797,39240,39280,39995,40184,40525,40579,40587,40588,41109,41144,41190,41816,42155,42345,42425,42499,42716,42864,43487,43547,43942,44469,44472,44888,44908,45186,45205,45621,46188,46266,46562,46825,46972,47310,47847,48022,48034,48056,48481,49361,50496,51419,52304,52310,52310,52687,53006,53340,53365,53662,53748,53964,54162,54202,54367,54644,55255,55624,56003,56161,56342,56385,56587,56593,56617,57064,57102,57478,57590,58151,58194,58335,58640,58995,59016,59068,59072,59206,59353,59929,59965,60667,60675,60771,60924,61312,61315,61332,61376,61721,61844,62001,62104,62160,62270,62413,62647,62683,62738,63615,63783,64438,64520,64751,65223,65290,65529,65723,65754,65943,66471,66555,66859,66914,67318,67332,67483,67831,67889,68159,68357,68474,68508,68591,68939,69432,69698,70364,70459,70809,70883,71476,71612,71809,72003,72072,72073,73102,73120,73260,73436,73545,73651,73655,73760,74052,74137,74187,74638,74643,74675,74691,75006,75847,76019,76222,76525,76714,76987,77054,77054,77092,77349,77414,77986,78258,78375,78411,78850,79025,79092,79295,79421,79593,79789,79832,79916,80001,80439,80565,80590,81096,81129,81138,81358,81370,81579,81662,81856,82114,82494,82613,82661,82783,82948,82966,82980,83376,83627,84152,84273,84707,84922,84941,85114,85765,86283,86405,87013,87046,87290,87758,88274,88398,88589,89099,89416,89508,89518,89612,89986,90723,90763,90770,90887,91389,91481,91837,91950,92094,92417,92596,92650,92863,93593,93676,93777,94182,94288,94317,94325,94480,94639,95058,95206,95311,95526,95641,96171,96812,96822,97282,97384,97670,97747,98038,98073,98113,98235,98471,98963,99040,99128,99184,99782}

Returns: 468609
{0,1,0,0,4,0,5,6,6,7,2,0,7,4,6,4,13,11,15,15,19,16,10,2,18,25,24,27,19,14,22,24,5,29,1,2,9,9,27,2,31,4,27,20,34,17,2,13,34,8,44,34,16,22,0,23,47,48,31,29,4,46,12,16,44,19,7,39,31,41,49,22,50,10,50,10,46,45,53,42,48,55,80,83,64,62,55,57,29,25,29,88,52,38,31,25,71,80,6,88,94,77,99,21,0,25,47,74,44,51,102,88,62,14,43,65,112,6,44,107,85,64,64,117,82,122,71,5,85,64,58,13,109,25,42,123,41,25,124,33,35,12,60,137,136,40,70,88,2,115,108,9,20,48,35,151,111,28,13,66,14,1,137,81,22,109,115,160,45,121,107,132,149,123,34,39,51,102,69,100,36,38,132,66,29,19,155,132,75,66,160,111,86,24,33,192,31,180,170,83,7,79,9,196,178,170,30,116,82,68,205,43,0,3,76,12,138,125,186,75,142,214,144,37,166,112,63,180,32,139,88,56,170,157,180,50,61,94,208,81,169,8,6,243,97,160,30,110,232,72,228,75,177,141,168,139,136,173,201,122,48,122,242,238,86,57,68,244,33,81,199,85,260,23,201,171,108,56,257,37,104,182,9,18,138,228,5,109,57,96,32,25,116,207,194,74,196,138,215,288,183,26,44,234,15,185,119,271,250,132,53,158,285,30,48,127,57,273,250,146,145,269,292,222,106,227,25,211,265,158,86,189,52,317,41,335,63,208,115,258,113,14,56,169,36,200,307,250,36,6,48,255,27,340,191,9,217,318,336,119,213,3,94,96,353,352,33,345,90,151,77,287,289,103,257,207,104,85,208,282,295,196,292,235,361,359,380,204,339,383,200,21,174,318,15,74,291,221,372,56,159,78,137,223,255,264,355,379,397,127,177,165,121,269,236,243,105,275,371,209,385,143,36,392,194,93,317,258,258,109,129,408,4,425,223,303,372,16,149,65,288,202,143,442,407,73,262,429,30,125,406,268,50,297,312,256,319,1,224,321,187,301,71,421,356,332,420,396,417,442,248,355,302,36,128,285,438,391,74,459,16,434,129,260,28,429,37,217,380,197,376,291,67,319,282,247,19,333,135,23,491,25,164,159,147,37,310,358,350,135,178,12,211,322,336,41,263,205,515,285,350,248,38,328,348,485,417,11,279,46,243,169,359,14,506,363,248,433,127,70,39,83,356,205,171,439,124,123,285,226,352,111,436,369,456,493,397,379,295,453,77,32,31,285,358,315,9,254,109,149,62,100,562,276,518,472,125,319,1,398,500,379,243,132,163,372,279,579,53,363,304}

{3,149,423,670,806,1006,1086,1253,1356,1390,2047,2173,2414,2605,2728,2764,2912,2938,3232,3305,3478,3492,3613,4140,4257,4489,4640,4696,4742,4750,4884,4917,4937,5001,5265,5330,5480,5501,5743,5807,5891,5964,6103,6605,6770,6802,7222,7551,7958,8355,8475,8718,8778,8817,8950,9031,9155,9178,9426,9573,9874,9927,9957,10197,10426,10474,10547,10762,11404,11440,11714,12015,12035,12311,12345,12693,13043,13288,13371,13381,13393,13889,14040,14189,14235,14432,14436,14621,14646,14690,14724,14842,14976,14981,15027,15195,15312,15504,15552,15716,15744,15794,15800,15912,16318,16604,16724,16929,17220,17760,17845,18131,18156,18217,18496,18579,18664,18768,18923,19482,19497,19962,20215,20338,20391,20539,20633,20644,20679,20814,21070,21383,21485,21991,22038,22145,22581,22740,22778,22793,22868,22884,22936,23165,23168,23287,23311,23891,24005,24022,24361,24379,24476,24506,24588,24706,24724,24846,25057,25119,25438,25717,25973,26010,26383,26584,26611,26923,27193,27308,27310,27379,27438,27779,27788,27869,28149,28544,28555,28586,28757,28835,28933,28990,29009,29486,29712,30010,30126,30399,30455,30490,30518,30972,31007,31175,31287,31303,31433,31443,31970,32145,32378,32493,32664,32856,33245,33563,33635,34167,34327,34334,34534,34847,34912,35261,35929,35986,36084,36188,36463,36791,37048,37093,37151,37199,37270,37391,38008,38027,38172,38218,38310,38493,38515,38598,38798,38803,38818,38977,39233,39266,39329,39414,39424,40064,40337,40407,40469,40563,40713,40773,40854,40884,41029,41232,41430,41495,42058,42067,42124,42131,42311,42427,42508,42559,42657,42716,43103,43403,43705,43706,43726,43804,44105,44151,44605,44863,44960,45525,45563,46252,46259,46424,47381,47868,47935,48056,48099,48270,48518,48593,49092,49114,49226,49312,49517,49563,49597,49608,49686,49696,49744,49981,50004,50141,50215,50412,50419,50651,50868,51081,51192,51991,52167,52229,52344,52585,52642,53182,53223,53271,53531,53560,53602,53680,53757,53840,53861,54062,54097,54195,54336,54625,55212,55346,55406,55550,56194,56411,56473,56576,57084,57338,57347,57421,57466,57573,57957,57971,58006,58200,58286,58680,59115,59489,59590,59779,59801,59804,59843,59909,59970,60222,60302,60371,60406,60517,60632,60809,60812,60838,61178,61541,61717,61817,62324,62411,62560,62874,63082,63103,63181,63213,63213,63215,63312,63537,63566,63741,63822,63846,64202,64330,64547,64712,64726,64764,64821,64897,65551,65571,65688,65712,66114,66268,66343,66346,66354,67115,67218,67479,67622,67780,68381,68544,68615,68663,69000,69086,69236,69362,69379,69407,69449,70011,70559,70742,71079,71193,71236,71255,71750,71795,71845,72485,72499,72558,72790,73097,73141,73168,73200,73519,73560,73636,73739,73883,74095,74217,74657,74811,74824,74987,75072,75514,75555,75687,76128,76208,76319,76540,76619,76717,76775,76937,77118,77187,77269,77501,77864,78125,78177,78354,79461,79488,79602,79622,80025,80193,80317,80325,80380,80458,80540,80747,81934,82277,82584,82871,82884,82961,82978,83064,83662,84052,84305,84465,84762,84793,84856,84953,85354,85498,85841,85893,85975,86076,86114,86206,86254,86322,86352,86395,86411,86444,86646,86796,87013,88025,88224,88441,88574,88804,88865,89329,89480,89517,89860,90092,90529,90600,90780,91041,91194,91224,91300,91450,91500,91733,91733,91895,92024,92348,92395,93123,93130,93348,93378,93578,93911,94107,94154,94190,94306,94331,94356,94402,94622,95041,95195,95371,95426,95505,95556,95634,95805,95913,96053,96087,96300,96319,96500,96564,96595,96892,96919,97339,97931,97996,98724,98833,98840,98986,99172,99236,99239,99272,99294,99587,99616,99759}

Returns: 456819
{0,1,2,3,4,5,5,7,7,9,9,9,12,11,9,13,14,16,15,19,20,21,19,20,23,25,25,21,21,29,29,31,30,24,33,32,33,36,35,33,40,38,40,39,35,43,42,39,43,46,21,49,52,49,54,54,52,53,57,53,55,58,55,61,42,59,64,66,63,66,61,56,72,73,65,71,76,66,75,72,59,75,66,70,66,76,86,78,70,71,85,75,84,68,85,92,94,87,88,80,98,71,85,103,85,94,104,66,91,98,98,76,107,92,92,69,97,117,105,116,105,96,113,113,118,111,113,117,117,127,130,105,87,122,130,128,112,130,123,107,111,128,121,137,140,145,90,122,123,134,149,140,125,107,134,123,53,157,111,157,137,160,156,96,147,163,165,115,167,166,151,168,160,173,161,166,174,166,177,179,180,178,171,162,183,169,149,180,149,165,140,182,157,193,165,184,194,156,142,199,158,194,190,188,204,199,204,171,203,151,187,206,164,212,181,175,212,210,199,217,210,203,177,194,188,213,218,208,217,223,228,195,232,219,214,231,223,233,220,117,233,238,188,200,229,225,238,168,190,224,242,245,240,242,251,236,228,237,220,252,208,260,240,222,264,219,237,263,223,265,239,271,249,207,269,208,257,218,277,185,247,271,270,280,185,271,271,280,255,280,281,275,253,274,184,245,282,280,290,284,274,297,300,296,286,289,305,295,227,273,233,285,306,305,301,315,231,314,283,263,303,275,279,192,316,290,289,295,324,288,243,317,259,316,273,324,328,262,244,339,271,237,270,332,321,340,320,221,327,300,295,345,321,317,315,265,287,354,348,295,318,329,256,348,362,334,356,315,300,358,350,356,356,356,374,333,330,316,329,344,380,328,368,375,367,331,379,333,377,335,365,378,314,289,390,363,364,349,379,345,377,363,402,247,394,344,365,392,345,401,408,405,372,404,404,371,370,400,384,331,400,411,332,401,403,414,158,404,331,394,410,378,349,398,397,433,413,339,335,342,399,324,403,427,248,434,441,416,444,444,370,431,450,440,416,452,405,367,437,422,381,386,446,380,388,442,430,460,278,430,416,445,452,442,463,463,471,448,460,459,428,454,474,449,385,424,370,380,429,306,406,398,448,436,426,489,475,491,423,434,379,461,464,368,303,481,362,482,443,504,484,469,420,508,364,360,516,451,507,409,448,492,422,515,398,519,413,497,518,460,481,531,503,499,392,339,418,514,432,436,485,479,514,358,503,530,391,541,508,435,517,488,444,532,494,471,549,541,454,532,559,460,477,556,523,450,430,480,567,551,505,568,525,525,561,511,550,559,549,503,580,550,559,497,565,579,568,580,540,576,502,589,331,492,495,554,484,531,493,552,564,503,583,554,592,474,528,441,554,518,606,591,342,582,557,456,481,553,589,585,412,412,614,604,590,597,539,601,594,597,536,631,431,619,567,601,461,559,506,516,553,599,597,614,583,591,489,512,594,613,604,605,556,589,615,612,615,538,602,634,642,608,435,651,657,532,657,526,601,607,663,662,482,556,631,644,567,624,622,657,648,656,648,424,658,663,457,671,681,589,641,634,667,534,680,588,679,652,636,631,643,605,623,629,691,603,538,577,663,579,697,686,647,677,626,596,544,713,630,659,529,614,674,655,642,713,513,718,698,709,657,710,636,684,565,707,602,701,645,731,680,681,697,728,705,651,544,722,620,726,635,745,595,704,707,728,737,750,565,664,743,734,758,721,745,677,581,588,752,704,758,679,666,672,641,753,704,746,683,657,645,766,734,682,675,730,699,743,705,624,779,693,736,532,743,789,656,670,753,508,685,780,753,759,623,683,715,745,788,715,706,793,670,782,661,772,662,805,662,801,746,812,749,756,740,779,814,699,814,701,800,825,817,726,776,782,547,829,688,684,676,766,760,839,680,752,634,804,796,783,768,610,823,809,851,821,801,769,810,842,842,834,671,734,818,609,753,694,778,620,632,735,690,812,813,861,771,872,811,759,863,871,815,784,795,672,884,808,748,853,746,872,840,788,788,828,790,791,803,834,897,870,831,822,844,664,856,580,513,798,733,878,744,646,892,843,838,900,908,644,857,584,770,734}

{31,49,97,115,119,206,300,379,552,649,682,767,857,977,981,1067,1232,1338,1421,1456,1489,1580,1967,1978,2096,2260,2403,2418,2449,2468,2514,2587,2603,2670,2701,2704,2799,2852,3129,3345,3661,3749,3760,3869,3885,3900,4009,4015,4039,4164,4250,4296,4487,4521,4697,4892,4978,5067,5083,5150,5367,5418,5699,5841,5908,6248,6380,6691,6937,7185,7190,7198,7317,7354,7729,7737,7819,7824,7825,7872,8262,8280,8401,8409,8634,8715,8767,8840,8929,9126,9152,9176,9183,9237,9268,9411,9458,9492,9693,9786,9812,9890,10409,10503,10593,10608,10636,10784,10884,10893,10922,11173,11275,11426,11525,11625,11634,11855,11889,12027,12031,12092,12166,12232,12405,12587,12810,12919,12951,12989,13142,13162,13331,13458,13471,13558,13717,13992,14258,14313,14497,14687,14733,14759,14793,14925,14940,15026,15058,15284,15526,15542,15562,15610,15959,16014,16065,16101,16157,16301,16425,16512,16581,16606,16663,16751,16958,16977,17023,17136,17211,17333,17428,17521,17723,17757,17954,18083,18471,18665,18721,18800,19034,19135,19335,19344,19470,19565,19883,19970,19989,20003,20011,20054,20098,20325,20728,20765,20770,20800,20813,20994,21016,21051,21064,21116,21243,21367,21397,21567,21796,22015,22031,22137,22217,22472,22615,22616,22985,23175,23352,23413,23448,23468,23586,23725,23779,23841,23887,23892,23922,23957,24039,24194,24587,24891,24908,25117,25118,25320,25438,25440,25475,25660,25677,25706,25759,25809,25882,25944,26024,26077,26090,26120,26305,26414,26475,26498,26666,26866,26881,26929,26957,27000,27108,27272,27384,27429,27658,27727,27844,27946,28114,28146,28165,28172,28261,28267,28295,28429,29020,29048,29067,29134,29144,29583,29694,29795,29871,30103,30148,30272,30490,30549,30570,30583,30630,30955,30958,31008,31225,31252,31311,31585,31697,31698,31978,32159,32418,32471,32498,32889,33044,33053,33093,33180,33296,33433,33640,33664,33683,33688,33868,33933,34121,34148,34175,34213,34371,34956,34968,35020,35116,35167,35205,35330,35533,35578,35603,35665,35781,35806,35835,36324,36335,36607,36705,36712,37026,37061,37318,37408,37455,37462,37641,37675,37883,38369,38468,38478,38514,38536,38713,39090,39272,39534,39541,39630,39636,39696,39893,39989,40384,40406,40436,40438,40464,40504,40520,40539,40541,40563,40577,40716,40824,40950,41029,41104,41184,41197,41420,41553,41562,41648,41736,41921,42220,42236,42257,42265,42319,42335,42344,42503,42639,42678,42724,42935,42943,42961,42992,43434,43553,43578,43625,43675,43929,43977,43986,43997,44216,44410,44533,44575,44606,44763,44861,44956,45079,45108,45188,45239,45397,45421,45496,45612,45703,45869,45964,46059,46115,46127,46327,46437,46581,46659,46672,46692,46832,47053,47124,47129,47336,47351,47397,47531,47596,47814,47935,47982,48228,48250,48458,48589,48752,49062,49190,49192,49288,49315,49358,49483,49486,49643,49723,49744,49811,49843,50075,50304,50430,50583,50605,50686,50692,50701,51007,51075,51538,51577,51622,51667,51971,52589,53284,53355,53436,53489,53540,53704,53984,54092,54215,54326,54384,54472,54582,54603,54613,54789,54892,54899,54912,54974,55004,55236,55548,55796,55830,55913,55935,56016,56095,56127,56174,56239,56351,56356,56431,56452,56517,56555,56968,57029,57094,57267,57540,57584,57664,57927,57987,58008,58132,58235,58237,58381,58454,58493,58493,58533,58533,58572,58766,58884,59028,59142,59180,59220,59406,59433,59448,59736,59854,59880,59995,60139,60222,60257,60390,60435,60485,60494,60588,60639,60771,60821,61246,61291,61313,61320,61406,61555,61763,61953,62003,62040,62403,62849,62932,62952,63022,63068,63075,63169,63184,63233,63268,63268,63363,63531,63567,63625,63641,63761,63826,63989,64110,64132,64133,64203,64427,64512,64739,64823,64897,64961,65103,65258,65302,65452,65503,65538,65594,65633,65672,65815,65901,66314,66327,66533,66725,66726,66745,66769,66803,66820,66895,67235,67251,67310,67336,67363,67452,67599,67712,67833,67974,68099,68266,68405,68446,68505,68595,68617,68722,68819,68842,69003,69083,69228,69248,69859,69897,69955,70010,70049,70146,70189,70383,70390,70562,70633,70675,70678,70695,70979,71043,71119,71137,71156,71195,71352,71436,71829,72025,72129,72138,72236,72502,72531,72802,72924,73008,73086,73120,73368,73482,73523,73693,74153,74155,74459,74638,74838,74958,75014,75127,75228,75234,75332,75460,75865,76003,76034,76050,76131,76208,76239,76288,76292,76329,76333,76976,76989,77083,77087,77094,77252,77506,77552,77571,77731,77948,78035,78067,78088,78177,78346,78401,78440,78536,79051,79229,79289,79710,79738,79810,79864,79955,80012,80106,80232,80240,80243,80478,80947,81036,81140,81181,81205,81240,81385,81795,81856,81907,82327,82367,82683,82690,82993,83148,83220,83235,83463,83505,83586,83716,83859,83877,84122,84207,84266,84544,84634,84737,84920,85261,85454,85476,85532,85550,85684,85694,85700,85801,85953,86120,86163,86256,86377,86551,86615,86738,86739,86790,86810,86892,86941,87249,87322,87573,87638,87744,87823,87874,87915,88045,88107,88120,88183,88312,88440,88444,88452,88543,88623,88656,88754,88812,88895,89001,89184,89490,89710,89740,89867,89887,89896,89935,90260,90272,90401,90574,90845,90932,91089,91132,91173,91359,91491,91686,91804,91846,9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Returns: 442374
{0,0,1,3,1,2,5,2,4,0,6,3,11,3,0,15,2,1,3,16,2,9,1,8,18,9,1,4,10,20,11,13,21,17,3,26,32,17,18,31,22,2,29,25,30,4,40,29,15,34,2,0,14,23,16,33,3,9,30,19,19,37,14,15,36,65,51,11,22,69,59,35,44,9,21,22,29,26,76,18,7,10,65,82,56,57,64,36,53,4,29,39,77,45,57,85,28,13,18,70,78,42,46,102,96,25,98,20,35,18,78,53,45,22,11,57,95,68,81,82,56,103,74,49,81,4,73,67,2,62,64,31,44,83,115,3,49,89,127,100,62,105,142,69,74,110,69,40,89,8,113,45,22,144,1,41,90,156,72,36,131,4,135,109,127,30,166,78,121,115,124,16,156,104,87,164,175,159,56,63,121,27,154,107,55,114,117,137,116,21,109,131,53,4,188,156,97,133,152,61,9,153,74,100,187,71,200,107,188,52,49,127,2,25,66,4,170,165,15,7,90,125,59,51,70,200,48,118,179,72,188,1,75,161,27,121,174,138,212,131,64,143,136,125,202,155,94,49,230,180,203,19,235,111,35,29,64,115,158,53,78,223,170,16,91,46,143,252,5,22,97,226,219,182,37,77,182,79,249,279,5,140,223,218,109,160,162,1,47,118,90,117,237,198,269,254,254,179,199,210,99,75,64,255,255,92,105,12,231,107,64,16,38,39,82,197,129,182,141,242,144,16,83,243,58,55,320,233,320,21,166,40,323,260,139,20,183,247,137,154,218,255,140,155,21,112,311,223,166,75,68,145,236,73,32,46,215,136,272,75,290,232,262,139,6,222,246,243,145,73,340,183,24,124,281,254,267,158,48,143,227,346,14,185,242,186,116,42,46,326,299,309,141,368,261,108,251,36,128,148,344,312,254,193,14,149,138,334,202,195,306,139,92,226,194,185,295,296,273,245,132,299,186,233,295,357,228,68,263,186,200,262,163,211,212,164,97,117,37,8,85,320,333,248,196,257,14,229,202,301,380,328,154,76,324,158,136,258,415,98,87,178,159,408,258,288,423,159,267,286,421,78,439,89,218,226,186,137,155,309,188,30,194,61,70,0,399,49,366,457,205,446,37,84,480,207,311,165,162,256,72,183,52,430,227,307,423,12,480,191,124,415,74,368,446,118,493,257,195,194,313,464,398,385,410,351,1,32,87,258,522,30,142,221,97,310,352,312,54,1,339,413,268,276,396,28,100,0,11,307,377,112,297,159,502,109,86,474,494,221,19,421,537,261,491,158,377,107,206,554,334,383,464,372,201,292,90,465,219,486,353,46,184,102,444,538,328,16,108,277,127,82,359,544,259,50,64,78,211,348,190,343,491,368,71,495,393,540,163,604,280,457,141,346,560,458,391,486,562,423,33,615,241,494,128,325,179,587,144,15,474,418,305,621,555,529,75,132,31,184,519,72,371,489,93,644,169,524,384,417,377,44,290,502,300,333,547,433,532,481,452,269,505,355,361,521,662,89,161,474,367,276,518,431}

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Returns: 345906
{0,1,2,3,4,4,6,7,7,6,9,11,9,13,13,14,10,10,17,14,15,20,21,16,21,14,22,27,5,28,22,29,32,23,29,35,33,17,35,39,21,38,31,43,44,43,44,46,42,35,49,49,35,52,45,48,53,17,48,35,40,55,55,52,57,56,57,41,67,62,64,51,64,60,66,73,56,77,46,79,75,70,72,66,80,84,75,86,48,80,73,74,92,92,86,94,93,76,95,95,88,69,79,101,90,90,71,107,79,100,91,97,99,91,109,112,102,111,77,114,88,83,77,112,123,103,82,100,116,117,68,121,129,102,126,94,108,125,123,137,112,117,142,81,130,131,145,138,128,138,74,146,132,129,128,66,151,142,134,157,109,152,161,132,153,135,151,155,112,141,164}

{295,435,460,896,1078,1422,3185,3407,3419,3905,3999,5036,5291,6130,6220,6265,6429,6701,9256,9366,9383,9470,9792,10928,14672,14886,15492,15736,16153,16163,16740,16997,17292,17556,17835,18821,19809,20404,20543,20773,20919,22895,24570,25853,26565,26745,27118,27909,28610,29094,29409,31151,31247,31477,31711,31826,32737,33661,33751,33837,36386,36610,37001,37206,37773,39189,39314,39420,39524,40325,41161,41477,41675,41720,42501,43122,43358,44386,44693,44781,45432,46414,46715,46971,48799,50105,50695,52178,52443,52823,53948,54407,55210,55648,55920,56243,57633,57817,58846,59951,60171,60293,60516,60908,61133,61149,61179,62316,65460,65883,66756,67331,67643,67740,68081,68742,68950,69080,70872,70977,71617,71899,72574,73071,74100,75049,75549,75842,76620,76697,76760,76928,78908,78914,79228,79236,79337,79368,79592,80873,81187,84564,85978,86219,86277,86383,86818,87724,88041,88928,89258,89377,89572,90164,91141,91502,91700,92096,92570,92697,92728,92877,94400,94489,94880,94899,96185,96491,96682,97819,99607,99908}

Returns: 393076
{0,0,0,0,1,3,0,1,1,1,1,2,2,3,12,9,8,1,2,12,4,3,11,2,11,6,12,5,13,6,12,0,9,8,22,2,2,7,6,18,27,20,14,4,43,33,7,6,42,4,12,3,3,17,5,26,3,11,14,19,2,1,49,41,35,55,57,46,13,38,0,1,58,9,21,4,20,61,15,64,0,3,63,46,1,39,33,35,22,43,9,34,4,26,12,3,82,58,18,32,9,9,30,17,22,52,61,78,37,83,78,71,1,87,5,48,40,68,74,34,74,38,4,26,24,59,26,93,42,34,67,10,65,28,76,82,47,56,39,61,51,77,48,37,60,50,19,31,107,4,35,6,7,8,89,106,54,48,30,88,117,65,6,97,13,33,125,40,39,54,18,10,7,73,21,67,97,30,76,79,110,33,73,71,19,160,156,37,36,82,121,1,12,114,162,151,28,104,45,15,56,20,141,16,3,32,89,43,87,158,122,4,111,30,94,185,36,46,117,43,35,29,27,201,71,52,139,158,153,41,182,41,69,117,43,70,64,81,60,177,71,119,66,127,170,137,57,14,135,2,62,54,90,200,39,27,70,60,153,61,25,0,42,73,149,190,24,146,85,28,88,64,234,81,133,63,50,58,135,70,1,64,163,20,251,85,121,134,14,53,29,103,20,15,67,64,59,232,133,164,59,190,7,29,85,240,190,89,18,91,117,33,43,214,178,80,125,74,105,49,33,11,221,213,152,17,30,267,26,260,187,13,54,202,21,13,148,8,173,24,99,262,236,143,36,294,31,202,82,135,181,36,240,73,165,123,65,83,40,59,72,336,128,146,135,95,133,51,144,71,285,238,186,195,127,73,197,176,236,55,220,135,66,38,127,168,17,207,91,2,183,3,77,101,275,151,292,127,174,333,98,34,139,150,150,149,132,35,98,134,12,395,133,13,131,64,254,326,280,245,287,27,57,2,146,310,129,61,223,36,61,76,68,300,5,96,158,15,199,92,109,165,108,291,4,250,145,54,246,51,282,425,57,43,359,164,212,201,36,14,245,30,256,319,126,113,240,326,6,278,236,5,110,297,46,30,74,248,180,106,18,67,96,112,151,144,350,329,15,128,370,57,80,318,361,59,2,321,160,179,210,139,202,80,112,415,82,310,1,134,325,117,280,179,3,51,429,29,374,69,108,63,67,40,341,219,111,193,302}

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Returns: 389703
{0,0,0,0,0,0,1,4,0,5,8,1,0,0,0,0,7,4,2,5,6,9,5,19,6,7,9,8,1,1,10,4,5,8,17,14,21,11,16,2,0,14,4,16,7,13,22,21,3,10,22,9,14,2,5,4,20,6,19,31,11,13,17,9,16,7,44,32,41,10,8,20,8,0,30,43,25,2,4,4,1,12,3,0,16,2,41,48,2,20,17,19,6,44,29,51,1,29,2,7,57,68,24,9,46,0,58,37,1,57,11,7,41,22,8,46,51,3,4,0,50,50,30,61,44,49,15,15,10,7,27,3,39,33,2,74,5,66,14,9,18,22,17,24,42,100,70,51,60,43,70,38,9,30,60,15,38,28,58,29,36,57,85,29,68,3,6,73,14,89,98,89,53,26,31,20,36,92,87,27,25,32,118,55,38,33,33,11,139,35,35,37,47,110,9,25,32,54,9,37,64,34,71,8,29,49,85,98,64,2,36,89,77,38,10,139,25,12,55,106,105,1,87,123,42,177,171,63,9,26,64,86,85,21,18,111,61,95,18,24,9,8,100,15,77,113,100,46,11,56,22,1,47,4,18,76,21,66,72,117,54,138,69,53,77,169,93,99,29,3,78,84,181,39,44,5,41,208,54,18,138,112,97,56,5,142,41,4,176,20,31,28,31,55,140,105,96,27,94,46,9,3,41,45,111,42,27,106,27,112,82,82,19,33,2,5,44,33,62,47,11,74,95,179,69,9,69,84,208,113,187,10,242,106,78,75,191,79,213,112,152,20,84,86,181,5,116,119,46,10,2,34,228,107,89,137,26,56,48,57,173,146,19,93,56,177,132,38,114,42,14,39,143,204,57,70,10,36,103,54,83,246,18,93,5,22,33,111,48,95,151,279,28,74,245,372,52,12,78,193,35,129,154,250,57,125,56,33,192,52,122,203,78,153,144,243,8,257,173,28,28,299,30,253,203,24,69,141,22,29,17,360,327,124,4,179,295,83,158,139,95,140,166,117,42,181,58,149,59,27,65,19,173,13,227,211,32,43,41,164,215,283,11,41,30,65,7,123,199,90,23,205,215,7,86,60,127,310,193,30,135,60,252,147,49,110,139,208,197,132,73,15,25,97,84,30,226,112,16,76,97,243,76,320,1,385,114,9}

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Returns: 499434
{0,0,0,0,2,0,2,0,1,0,0,0,1,3,2,2,13,3,0,4,5,2,4,3,1,1,9,2,5,3,4,1,2,1,3,9,10,1,3,5,5,17,3,1,7,8,5,2,1,0,2,3,0,8,14,8,9,21,1,7,17,14,7,1,3,1,19,7,7,12,18,0,0,1,5,3,1,23,11,3,17,2,4,5,10,9,2,16,13,4,14,8,1,52,3,43,11,40,15,4,1,17,29,31,3,2,15,27,5,13,4,18,2,5,6,15,59,10,9,12,4,26,5,8,10,3,13,13,15,7,23,20,0,49,60,31,1,5,28,12,42,30,19,24,5,23,5,9,16,5,34,39,1,2,32,3,2,22,66,34,3,5,5,9,38,25,30,18,2,0,23,47,15,47,2,51,0,35,34,38,28,46,12,91,14,8,2,5,29,17,11,3,57,9,32,27,6,14,36,0,22,28,25,14,31,15,17,85,18,32,67,39,14,16,57,4,29,17,46,10,19,19,48,44,23,78,54,48,23,16,17,22,5,22,2,89,63,7,82,28,20,49,48,59,22,8,16,9,29,20,93,11,18,50,3,0,150,91,49,27,118,14,7,53,98,15,52,31,6,27,37,3,109,7,52,83,130,29,72,0,2,67,2,8,15,34,44,4,9,11,0,49,95,66,81,15,7,11,67,25,13,17,127,57,2,40,4,7,2,99,45,25,6,175,13,63,23,155,23,24,18,14,105,41,27,43,3,113,9,32,2,4,9,21,79,30,18,31,16,127,15,169,65,11,22,2,23,79,10,47,38,15,70,130,131,14,34,109,12,39,6,82,41,13,49,56,117,124,5,51,26,65,89,47,16,142,20,49,78,52,83,15,92,58,26,48,44,4,15,28,10,121,71,72,34,194,165,24,0,23,187,88,103,199,10,0,25,16,78,48,56,42,40,157,74,88,1,6,43,66,79,21,14,25,278,46,23,144,38,49,29,53,0,19,0,1,66,14,4,71,121,26,26,92,72,1,6,10,63,25,23,45,47,153,30,149,38,11,9,111,58,36,1,21,33,55,22,60,126,107,32,199,60,71,11,86,8,8,55,104,25,15,291,0,24,12,53,23,55,125,358,137,125,15,20,235,23,103,53,5,65,1,62,161,8,84,192,126,95,25,109,30,1,0,59,5,74,11,128,19,154,150,285,112,52,56,115,50,99,207,19,92,253,42,177,197,79,65,47,338,14,96,193,45,29,131,27,8,103,18,47,46,16,17,112,28,52,21,60,165,171,7,79,31,129,10,21,126,24,10,50,77,405,53,110,49,173,133,205,90,97,118,169,166,120,195,167,31,40,102,96,199,174,45,56,41,104,32,52,37,46,162,32,178,263,18,37,26,109,0,56,45,23,156,232,75,21,38,75,147,7,198,162,7,14,84,128,1,7,18,208,229,24,50,21,195,47,17,349,51,7,9,25,141,190,55,7,64,251,26,99,104,8,47,64,67,76,55,51,82,26,47,59,4,1,5,114,33,57,7,61,16,55,382,35,97,21,99,154,259,132,117,4,53,167,28,0,87,53,222,61,123,327,196,83,2,24,38,28,89,185,285,188,49,101,214,44,39,130,108,29,347,247,119,59,404,27,121,22,55,112,363,0,45,26,17,28,82,48,88,33,104,269,80,76,242,72,5,30,33,43,12,161,88,168,92,158,25,77,117,40,19,314,243,15,146,115,31,241,309,305,99}

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Returns: 850452
{0,0,2,1,3,0,3,0,1,4,4,7,0,13,6,5,10,8,5,11,3,6,5,5,5,17,8,12,2,3,4,12,15,22,26,18,6,2,14,22,15,25,11,16,1,30,3,24,10,0,40,31,21,21,46,26,41,33,34,25,0,18,5,4,16,25,35,4,16,23,14,41,47,21,70,37,64,4,25,1,35,37,4,31,62,10,14,0,29,3,13,32,64,15,47,41,21,26,12,41,2,54,42,69,51,61,93,21,6,45,69,5,69,8,9,47,42,6,20,8,11,15,65,59,40,34,5,7,17,55,94,11,90,33,119,46,27,68,64,8,6,35,74,23,57,22,33,84,67,88,114,32,48,36,92,6,59,62,98,106,66,109,101,93,44,93,66,48,77,24,23,67,74,42,62,24,139,61,85,50,8,44,82,49,62,41,32,11,39,50,3,60,91,54,70,88,118,114,25,162,6,54,47,44,79,43,37,86,129,55,42,74,101,44,18,72,46,73,129,47,91,215,84,5,118,99,132,26,24,178,39,9,69,36,107,48,114,37,29,51,27,182,2,6,70,126,169,63,66,58,68,4,94,73,65,41,39,26,7,86,66,16,125,233,102,57,41,58,24,195,83,218,46,125,8,1,234,11,125,208,120,80,118,146,17,4,19,23,159,156,36,90,17,95,12,119,239,28,193,82,37,51,85,98,167,105,125,133,57,77,231,160,12,6,83,16,67,13,40,46,64,11,41,139,84,134,264,38,142,49,154,154,272,183,220,28,68,256,34,32,101,199,82,63,152,129}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,6,7,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,13,14,14,14,14,15,15,15,16,16,17,17,18,18,20,20,21,21,23,24,26,27,28,28,34,35,35,37,37,40,40,42,44,45,45,46,50,51,51,55,55,56,58,59,61,62,65,68,73,75,84,87,102,102,107,117,125,125,129,134,140,140,150,154,157,164,165,166,171,176,178,181,182,186,188,188,216,224,232,242,244,254,256,261,262,281,299,300,303,308,311,326,334,354,364,364,378,386,389,410,410,415,416,445,463,474,481,500,519,525,548,581,598,600,630,665,672,815,832,837,887,899,934,982,998,1001,1032,1039,1127,1128,1172,1174,1236,1272,1296,1347,1452,1499,1539,1557,1616,1617,1688,1700,1713,1732,1855,1995,2046,2198,2301,2401,2415,2469,2496,2817,2872,2935,2941,3057,3364,3384,3498,3646,3728,3790,4078,4204,4307,4322,4325,4390,4674,4693,4788,4844,5594,5702,5858,5988,6125,6672,6970,7789,7920,8030,8063,8548,9449,9931,10015,10187,10470,10633,11194,11417,11575,11986,12768,12966,13108,13111,16446,16670,16771,17013,17609,17611,18123,19603,20329,21446,21702,22368,22744,24036,24638,27564,27928,29208,30010,30538,37303,39008,39059,39351,40297,41068,43045,43063,43238,43353,44562,44735,46880,50358,53613,54897,55030,57779,57936,62227,65163,67109,67587,71731,72327,72969,73164,73655,77161,81948,83674,84803,89822,91049,96061,96367,97936,99409}

Returns: 139484
{0,1,2,3,2,4,6,4,6,9,10,10,10,12,14,11,16,13,15,18,18,20,21,21,20,18,10,18,18,13,28,22,13,24,21,27,34,36,21,38,37,33,33,29,42,36,31,34,37,45,33,46,47,52,53,51,51,40,57,57,42,49,58,56,63,50,46,48,65,64,48,60,70,73,71,48,23,70,54,48,48,75,47,76,30,82,85,83,45,81,70,84,85,82,94,93,72,97,96,66,63,99,77,97,92,98,105,69,62,92,73,100,46,91,102,49,106,52,117,98,73,92,121,105,112,107,95,97,97,118,129,60,130,123,106,122,115,128,103,138,106,123,128,114,109,144,100,111,140,113,138,92,116,153,136,137,99,117,130,127,151,117,153,162,46,160,135,62,140,146,152,152,101,63,158,172,153,100,137,169,136,162,116,138,143,133,143,155,104,149,93,184,163,116,188,192,148,197,196,198,190,130,174,191,137,185,113,176,204,202,135,194,209,119,180,208,208,175,218,175,203,201,140,186,170,166,226,170,202,194,209,185,221,153,207,193,203,184,225,180,183,188,230,239,195,175,244,151,211,153,237,241,241,198,235,206,214,129,174,94,222,192,258,213,218,226,216,210,231,267,206,225,254,102,182,97,173,218,237,253,121,225,264,256,256,202,146,257,129,224,252,274,290,197,283,284,257,297,241,277,268,266,299,291,278,266,275,228,236,146,150,251,310,275,185,311,278,295,259,270,293,298,304,284,321,237,226,325,258,301,161,280,330,267,309,243,331,336,326,281,333,335,330,130,239,343,303,276,278,277,267,152,331,348,345,321,335,309,319,330,317,312,189,298,305}

{6,102,176,250,423,1028,2136,2458,2587,2718,2906,2966,3131,3502,3675,3688,3789,4012,4249,4734,4800,5042,5261,5285,5410,5544,5791,5916,6083,6188,7200,7244,7307,7338,7345,7441,7592,7686,7881,8118,8252,8471,8481,8641,9106,9404,9422,9572,9843,10202,10286,10941,10971,11729,11731,12439,12513,12531,12560,12631,13114,13146,13300,13663,13986,14641,14693,14820,15112,15364,15595,15815,16445,16844,17812,18271,18387,18505,18950,18951,19340,19369,19649,19876,19961,19972,20016,20118,20366,20389,20750,20815,21446,21565,21733,22048,22092,22493,22627,22758,23201,23587,23706,23785,25161,25206,25479,25883,27627,28038,28124,28275,28440,28737,28974,29324,29701,29704,29767,30322,30325,30656,30963,31394,33180,33777,35003,35063,35251,35568,36520,36861,36885,36969,36978,37191,37344,37423,37538,37657,38226,38227,38362,38370,38545,38661,39301,39404,40072,40708,41130,41629,41632,41719,41783,42259,42293,42382,42453,42506,42519,42714,43090,43299,43354,43460,43659,43701,44014,44087,44390,44449,44647,44648,44697,45016,45063,45122,45166,45303,45306,45322,45768,46437,46560,46747,47251,47481,48654,49681,49887,50170,50543,50841,51179,51264,52063,52243,52551,52691,52711,52894,53308,53833,54011,54094,54881,54885,55016,55871,55909,56294,56641,56740,56781,57012,57252,57363,57397,57411,57509,57745,58169,58443,58745,58818,58933,59447,59974,60494,60497,60525,60997,61330,61704,62182,62575,63092,63176,63306,63652,63836,63926,64132,64615,64634,64690,65214,65354,65704,66208,67255,67570,67664,67878,68029,68217,68285,68535,68704,69315,69637,69653,69711,69944,69997,70377,70742,71448,71453,71547,71766,71771,72144,72851,73326,73467,73947,74029,74324,74894,74909,75949,76025,76033,76788,77226,77361,77417,77682,77945,78113,78687,79296,79806,80292,80561,80755,80792,80981,81051,81536,81545,81952,82895,82959,83125,83611,84103,84180,84331,84372,84818,84858,85114,85138,87165,87222,87443,87871,88030,88481,89011,89380,89441,89737,89971,90047,90142,90467,90740,90893,90936,91767,92434,93361,93720,93784,93953,94153,94604,94970,95893,96087,96316,96334,96579,96647,96897,97016,97078,97155,97193,97521,97629,97728,97792,97927,98242,98702,98792,98865,98995,99072,99500,99617}

Returns: 377386
{0,0,0,0,0,0,0,0,1,0,4,2,5,0,2,1,0,0,4,0,0,1,1,3,0,1,7,1,1,3,2,0,1,7,11,5,3,1,7,7,7,12,0,9,18,0,11,15,0,2,0,4,5,2,0,0,3,20,0,1,5,3,13,8,5,2,0,1,1,6,2,4,1,6,9,4,2,1,1,1,2,9,9,15,1,3,2,9}

{1572,2703,2786,3530,3731,4112,4655,7105,7252,7536,8117,9485,11633,12667,12808,12888,14168,15389,15443,16303,17134,17479,17559,19452,19699,21661,22673,22760,22764,22978,25860,26236,26623,28947,30252,30495,30599,31389,31465,32547,33159,34761,37845,40239,41669,41880,42401,42796,43204,44667,46350,47593,47944,49993,51674,54954,56660,57964,58843,64454,67728,69031,69789,72430,79088,81824,81838,81892,82292,83070,84788,86263,86374,88333,89605,89986,90782,91368,91601,92140,92286,93731,95168,95458,95884,96999,97076,98552,99992}

Returns: 884694
{0,0,1,0,0,1,2,2,0,0,0,3,2,1,2,1,1,0,0,1,0,0,0,2,2,3,0,5,10,4,0,3,0,1,8,7,11,1,1,4,2,4,9,13,6,11,1,0,7,2,2,7,8,7,6,3,9,0,13,0,6,1,7,11,23,0,3,8,6,9,10,1,1,32,11,5,2,11,16,17,32,13,8,9,0,8,3,15,14,4,5,7,15,6,6,10,8,18,29,8,12,1,28,13,8,13,17,14,8,3,1,1,10,18,10,4,11,13,16,4,15,22,34,9,23,61,24,12,22,38,57,24,19,28,5,1,17,0,38,24,24,24,27,6,8,15,30,0,2,1,0,13,0,24,42,0,19,2,50,70,43,32,0,6,44,1,28,1,4,3,15,30,36,0,8,11,18,21,0,10,60,18,32,29,22,28,16,22,9,11,38,15,22,2,18,2,10,9,2,16,2,6,2,1,30,54,20,2,16,18,6,1,24,16,23,15,16,26,10,33,66,7,8,22,14,60,0,8,11,62,37,37,1,31,24,1,6,0,0,11,12,11,9,4,2,58,23,105,16,36,2,44,107,14,11,11,64,22,6,26,13,14,4,51,1,15,18,28,90,9,23,7,16,45,6,17,74,21,19,3,142,14,8,1,14,10,1,53,33,17,59,26,92,26,42,51,27,10,7,17,35,8,66,36,18,24,19,20,8,10,67,4,31,32,12,16,9,92,51,11,32,9,13,32,2,23,3,24,21,24,2,29,28,38,16,59,3,31,28,27,24,38,3,98,54,9,15,89,3,16,114,5,18,51,18,121,37,72,0,184,14,40,18,17,72,16,54,18,12,87,7,79,54,12,13,55,21,57,43,14,43,46,16,8,103,5,75,12,134,78,7,71,0,11,82,42,79,10,1,88,6,2,49,20,32,56,32,44,83,1,17,34,89,183,49,15,9,8,31,40,58,27,10,14,59,69,68,22,101,58,93,43,22,40,130,29,50,1,67,153,17,87,86,102,40,82,54,48,100,11,78,6,29,286,18,15,62,3,1,80,5,3,5,53,95,162,38,29,42,15,14,51,22,4,34,70,69,93,2,87,7,67,46,10,16,42,21,0,126,16,60,23,196,7,28,153}

{294,379,443,446,848,914,1133,1148,1249,1736,2014,2484,2537,2894,3100,3376,3379,3398,3560,3641,3643,3726,3872,4148,4301,4330,4388,4640,4771,4847,5165,5203,5842,6043,6134,6184,6216,6331,6485,6765,6806,6900,6928,7035,7346,7441,7581,7748,7775,7831,8122,8646,8774,9114,9327,9695,9699,9908,9937,10308,10327,10830,11543,11587,11849,12254,12449,12657,12799,12807,13252,13273,13639,13741,14359,14380,14426,14537,14605,14614,15147,15723,15815,15884,16349,16638,16817,16907,16956,17157,17410,17509,17516,17558,17724,17851,17897,18045,18616,18661,18763,18870,18872,19033,19067,19141,19424,20312,20316,20521,20756,20777,20778,20809,20871,20899,21004,21304,21735,21901,22102,22132,22875,23031,23103,23109,23198,23755,23849,24039,24606,24896,24965,25139,25392,25912,25923,26355,26471,26546,26675,26886,27306,27442,27598,27702,27911,28490,28591,28657,29290,30137,30248,30568,30808,30974,31069,31115,31517,31589,31751,32534,32718,32973,33143,33290,33339,33710,33858,35349,35388,35419,35464,35788,36091,36270,36725,37185,37247,37407,37656,37695,37981,38070,38301,38475,38611,38611,38819,38823,38830,38963,38985,38990,39058,39084,39230,39309,39941,40177,40328,40408,40416,40563,40661,41176,41385,41644,41733,41779,42342,42535,42680,42919,43102,43317,43358,43676,43884,44128,44374,44421,44557,44640,44740,45019,45092,45595,45819,46099,46126,46342,46571,46708,46923,47096,47182,47386,47486,47586,47695,47700,47844,48170,48775,49044,49338,49351,49376,49534,49879,50058,50114,50199,50431,50489,50983,51087,51568,51732,52211,52470,52490,52576,52916,52961,53369,54144,54165,54214,54309,54319,54637,55049,55179,55332,55508,55622,55646,55785,56052,56704,56777,57161,57381,57385,58103,58195,58294,58688,58764,58837,58930,58936,58974,59132,59279,59811,60142,60244,60516,60596,60757,61213,61513,61597,61632,61861,62269,62278,62558,62655,62667,62849,63220,63356,63391,63428,63997,64276,64431,64906,65096,65277,65300,65335,65479,65712,65820,65908,66296,66446,66453,66498,66530,66577,67001,67226,67539,67587,67787,68122,68146,68246,68637,68678,68764,68808,69257,69283,69368,69460,69644,70169,70339,70737,70825,71115,71244,71339,71416,71449,71541,71858,72070,72207,72342,72848,72906,73197,73307,73367,73432,73463,73807,74285,74363,74762,74905,74940,75204,75217,75301,75323,75413,75473,75811,76014,76510,76604,76669,76814,76871,77098,77369,77484,77591,78440,78793,79151,79345,79364,79550,79613,79826,79874,79918,80042,80297,80382,80911,81444,81446,81521,81535,81553,81923,82264,82477,82623,83111,83213,83488,83590,83794,83830,84246,84432,84549,84684,84700,84705,84816,85166,85273,85360,85442,85601,85920,86056,86202,86556,86573,86629,86761,86882,87472,87596,87895,87928,88194,88639,88677,88864,88936,89317,89851,89939,89949,89976,90070,90213,90293,90299,90349,90657,90970,91164,91401,91844,92124,92288,92423,92467,92705,92985,92994,93462,93995,94222,94426,95315,95509,95575,96674,96839,97149,97266,97457,97631,97916,98080,98932,99307,99573,99574,99631}

Returns: 946096
{0,1,2,3,3,3,4,7,8,5,10,10,12,12,13,15,16,16,18,19,16,21,21,15,23,21,25,23,27,19,21,26,31,31,33,23,30,36,36,32,33,30,38,37,44,42,46,32,48,45,50,50,32,49,50,21,48,45,51,37,56,60,52,59,59,24,65,48,61,58,62,60,47,62,71,65,76,58,65,62,80,46,68,71,81,66,80,81,86,74,77,80,64,80,93,91,96,91,77,85,74,86,100,101,83,94,102,89,101,101,91,98,89,95,113,104,81,116,109,82,97,80,99,117,118,96,118,113,121,91,115,109,128,133,105,135,122,137,112,115,137,141,128,143,139,144,135,108,135,138,68,122,143,150,148,109,113,113,156,149,143,142,156,153,124,154,128,114,151,155,163,171,155,163,164,171,150,160,174,100,174,171,131,115,184,176,150,182,187,160,148,160,191,184,186,194,168,189,179,144,197,169,195,162,204,202,201,177,201,193,195,206,192,137,176,168,212,155,204,137,190,149,222,221,213,216,172,215,223,223,152,224,187,222,233,199,212,143,232,225,224,223,150,226,222,235,243,244,220,242,241,187,237,233,246,202,251,246,237,248,250,238,191,218,230,259,246,255,146,239,264,175,243,249,269,205,258,273,266,253,235,178,235,281,259,281,259,277,283,282,282,267,251,256,201,194,295,278,297,262,291,258,277,234,291,183,259,247,273,288,295,247,258,312,193,315,304,274,306,308,301,318,276,314,267,219,273,327,274,314,305,237,321,303,314,319,334,252,312,326,327,288,286,306,255,302,247,309,229,286,265,175,334,342,240,247,349,297,313,341,358,349,251,352,311,316,353,337,325,351,201,254,324,353,293,350,334,343,209,364,376,370,308,373,331,298,276,366,274,360,372,354,325,349,363,240,322,329,346,387,357,390,375,388,362,296,259,339,400,366,298,398,368,385,330,408,371,375,219,404,354,321,382,419,353,394,319,367,426,397,413,314,404,404,422,433,429,346,418,284,222,324,390,438,351,431,305,324,361,299,254,360,438,339,430,438,345,440,447,458,271,328,427,286,399,293,440,465,423,373,381,363,401,457,451,396,346,447,449,473,427,425,479,473,412,473,461,425,424,402,422,444,488,411,426,378,401,297,360,497,363,435,498,255,433,445,433,495,391,434,500,471,450,510,479,475,486,484,481,361,442,505,513,507,435,457,436,520,493,451,509,478,518,441,531,521,421,366,431,526,538,472,519,362,490,524,519,478,482,441,272,513,525,455,545,555,501,488,536,474,554,467,506,414,502,471,469,444,542,442,541,276,552,542,565,454,575,553,538,505,577,484,320,491,417,579,571,528,545,395,522,587,484,545,561,528,557,551,394,587,402,596,565,559,402,464,467,558,564,507,562,466,531,525,603,466,584,594,610,615,484,414,531,476,340,609,605,439,592,629}

{148,193,219,533,636,677,764,806,839,1026,1367,1417,1477,1838,1886,1933,2176,2229,2411,2604,2770,3013,3068,3099,3181,3372,3384,3509,3624,4204,4674,5116,5151,5206,5368,5936,6017,6054,6451,6486,6732,6781,6928,7010,7034,7074,7338,7919,8056,8184,8297,8338,8858,8917,9492,9499,9513,9590,9624,9944,10546,10546,10662,10670,10690,10712,11929,12068,12326,12478,12524,12830,13067,13100,13164,13273,13289,13646,13725,13899,13948,14075,14191,14208,14377,14395,14638,15185,15272,15637,15714,15770,15907,16089,16096,16129,16131,16149,16193,16522,16591,16662,16684,17096,17282,17919,18058,18142,18300,18373,18585,18643,18666,18931,18960,19235,19300,19585,19601,19614,19748,19764,20150,20206,20393,20476,20482,20529,20906,20932,21093,21140,21723,21935,22051,22076,22341,22374,22476,22689,22769,23099,23138,23140,23155,23304,23431,23539,23575,23688,23835,24141,24674,24858,24918,25079,25134,25243,25336,25448,25626,25838,26229,26423,26435,26639,26701,27115,27515,27862,27936,27951,27977,28195,28345,28666,28678,28753,28802,28814,29183,29331,29414,29422,29532,29991,30359,30596,30794,30823,30843,30963,31079,31285,31374,31430,31773,31848,31908,32286,32326,32367,32542,32776,32838,32883,32888,32915,33026,33138,33372,33524,33591,33707,33973,34092,34503,34552,34569,34612,34774,34983,35064,35151,35289,35395,35521,35526,35782,35812,35850,35868,35918,36091,36126,36160,36374,36492,36553,36678,36961,37079,37343,37606,37662,38010,38163,38342,38537,38724,38760,38851,38877,38945,39283,39335,39497,39684,39762,39840,39880,40191,40200,40220,40270,40571,40662,40715,40810,40886,41346,41369,41380,41737,41749,42283,42684,42690,42809,43076,43497,43583,43603,43715,43764,43990,44062,44081,44137,44310,44829,44939,45068,45211,45435,45634,45646,45743,45804,45967,46038,46099,46313,46359,46417,46431,46448,46547,46649,46810,47065,47276,47634,47988,48407,48555,48871,48888,49145,49292,49634,49866,50394,50574,50601,50607,51285,51345,51579,51798,52346,52998,53499,53716,53724,53818,53999,54006,54084,54243,54412,54495,54588,54652,54753,54788,55054,55124,55143,55558,55681,56624,56733,56858,57083,57840,58162,58269,58850,58887,58987,59080,59561,59702,59802,60195,60404,60477,60503,60527,60706,60776,60790,60810,61069,61366,61410,61535,61596,61644,61704,61709,61800,61925,61949,61992,62083,62177,62450,62677,62694,62870,62946,63069,63211,63281,63373,63517,63655,63734,63888,63929,63968,64023,64121,64219,64651,64727,64837,64844,64844,65410,65515,65528,65585,65607,65867,66079,66269,66325,66379,66569,66633,66659,66737,66769,66990,67058,67156,67385,67613,67660,67794,68204,68324,68363,68492,68712,69017,69248,69636,69874,70148,70292,70429,70628,70629,71403,71817,71833,72071,72140,72496,72669,72927,73125,73803,73883,73898,73992,74178,74759,74759,74792,74805,74905,74993,75071,75126,75147,75430,75495,75561,75671,75672,76207,76348,76440,76564,76567,76676,76767,76855,77489,77556,77788,77864,78002,78010,78528,78535,79251,79539,79564,79732,79782,79804,79812,80104,80274,81207,81287,81297,81924,81993,81997,82190,82226,82399,82782,83172,83300,83369,83534,83598,83650,83695,83780,83880,83982,84148,84172,84526,84745,85011,85257,85601,85694,85705,85841,85864,86267,86275,86356,86453,86456,86703,87012,87184,87529,87582,87623,87665,87899,88100,88113,88195,88286,88412,88564,88592,88648,88674,88834,89007,89068,89107,89108,89283,89393,89446,89589,89763,89845,89861,89925,89997,90070,90079,90123,90172,90539,90682,90687,90970,90987,91015,91139,91218,91611,92219,92332,92451,92530,92645,92706,92730,92739,92936,93184,93233,93241,93888,94497,94615,95149,95334,95395,95418,95596,95634,95666,95708,95830,95976,95991,96101,96222,96312,96993,97162,97383,97384,97536,97556,97611,97888,97909,97981,98057,98061,98121,98274,98333,98361,98426,99247,99658,99663,99884,99917}

Returns: 446505
{0,0,0,0,1,0,2,0,0,0,0,0,1,3,7,4,5,7,0,7,0}

{3971,6930,10562,12605,16371,16804,17870,22560,24963,29502,36592,37980,38243,42495,56257,63937,67396,69166,73233,87272,92358,98678}

Returns: 421539
{0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,4,0,0,0,0,0,2,3,0,4,6,0,0,5,0,2,0,3,1,1,1,1,3,5,1,2,7,1,8,1,6,4,1,0,14,10,27,4,1,3,1,18,5,4,0,2,1,1,4,2,3,10,17,4,15,3,1,20,7,8,9,2,2,9,1,7,7,2,0,10,2,1,4,3,13,0,10,1,14,3,5,13,13,14,18,1,2,4,26,19,11,20,6,27,18,8,1,0,7,26,40,26,23,2,33,16,47,41,20,5,0,5,5,16,8,10,5,5,27,21,52,12,1,6,19,40,10,40,10,7,35,6,2,1,16,3,0,11,14,20,20,3,4,3,6,10,20,6,15,1,21,39,16,11,7,7,71,54,15,20,3,12,1,0,1,4,3,0,3,10,48,6,4,5,10,2,13,3,11,12,25,5,1,8,16,5,3,37,37,13,45,6,10,18,13,4,48,19,1,43,4,25,17,10,52,27,3,67,25,44,50,28,29,15,12,13,53,59,27,61,20,14,23,28,14,12,5,64,4,17,2,29,23,1,20,11,38,26,23,15,9,42,47,50,3,5,50,5,32,38,10,14,31,5,25,59,38,23,1,3,9,14,22,25,15,57,33,72,9,45,40,2,4,26,85,57,59,48,17,0,41,59,44,2,13,104,0,0,28,34,10,17,23,34,0,17,37,31,22,73,62,108,36,4,0,22,98,4,23,6,6,22,21,30,2,27,71,9,5,29,30,27,32,21,15,96,80,4,30,5,44,26,39,0,17,38,42,7,27,9,15,72,15,15,10,16,24,15,44,32,24,14,68,19,116,57,7,4,6,36,31,0,5,22,59,60,31,37,72,41,7,16,23,45,45,30,30,30,52,25,17,33,51,0,8,10,68,113,36,63,2,24,88,18,19,10,16,197,31,21,14,17,34,44,42,41,26,79,85,5,30,6,87,26,52,7,52,11,41,22,29,62,61,36,13,44,46,83,24,0,3,22,24,44,59,108,33,0,98,117,50,6,31,4,8,33,26,35,6,125,11,44,21,51,6,14,2,6,34,35,71,1,61,22,1,100,77,47,9,47,15,24,11,11,137,95,187,9,6,62,116,55,10,44,0,4,26,15,62,58,12,28,46,15,83,33,37,104,9,51,43,60,22,56,12,23,3,14,74,11,37,57,50,86,21,15,12,41,13,22,112,36,14,101,8,54,25,16,46,25,9,28,62,115,53,40,37,12,68,3,5,23,3,65,23,42,35,91,38,128,13,104,6,43,48,125,93,129,117,86,50,52,116,78,33,171,34,79,74,10,162,39,11,16,2,13,4,66,72,16,264,102,52,6,130,4,13,23,45,16,77,72,6,18,294,175,6,21,53,73,265,116,202,90,79,111,18,54,5,34,30,44,70,102,46,46,8,78,72,25,20,5,24,63,37,50,47,21,102,5,123,217,206,152,62,91,27,131,2,101,153,12,73,22,25,21,82,16,96,138,21,30,49,73,103,39,26,68,12,21,30,157,34,17,25,14,34,81,49,0,110,12,8,43,55,47,14,43,10,60,124,101,7,5,22,51,32,23,3,87,33,32,51,22,296,45,79,272,73,47,99,1,84,114,176,110,44,35,92,68,65,4,28,42,84,33,140,65,124,83,3,3,5,14,156,58,52,146,17,148,54,97,36,153,153,0,16,30,78,66,147,110,24,51,300,47,28,27,12,7,100,34,68,76,85,8,22,15,35,148,81,54,9,7}

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Returns: 970638
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Returns: 1169231
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3,99010,99027,99098,99379,99452,99480,99534,99711,99887,99956,99960}

Returns: 565355
{0,1,2,3,4,5,5,7,7,9,10,10,12,12,14,15,14,15,18,18,19,18,22,19,23,21,26,27,28,28,30,31,27,27,31,35,34,37,35,36,38,41,40,35,40,40,42,45,48,48,37,49,49,50,52,51,50,57,50,57,53,51,56,55,56,59,57,67,68,52,62,59,63,69,71,75,73,69,65,79,62,75,79,70,77,78,67,83,76,86,84,85,62,86,85,91,94,96,95,97,91,97,102,87,97,99,102,107,104,107,106,110,109,94,114,107,106,116,113,110,105,116,111,123,99,113,125,98,123,93,118,130,120,123,83,134,106,100,133,91,130,128,138,82,143,141,136,131,143,141,133,132,131,148,154,152,145,122,148,156,150,146,145,121,152,129,144,150,156,169,134,159,167,166,168,134,172,153,153,156,160,175,163,105,181,177,176,181,162,164,159,169,188,179,176,158,180,180,191,198,189,171,183,198,173,200,176,205,206,146,204,148,150,212,200,194,197,180,203,193,210,214,213,223,215,217,220,227,226,155,222,203,159,230,183,235,229,225,223,238,225,225,241,192,218,223,244,234,247,227,219,179,238,238,222,220,237,240,256,238,260,248,249,247,240,234,245,260,234,262,241,266,245,253,222,255,266,248,225,231,215,265,265,248,273,274,275,273,285,223,282,278,196,238,291,288,290,288,254,197,200,301,292,260,298,294,285,276,273,262,302,304,310,279,295,299,274,298,318,313,268,296,303,317,254,315,297,295,318,299,325,293,283,299,310,311,314,336,327,338,333,335,338,326,338,231,298,305,339,316,275,307,332,344,313,316,320,355,321,268,352,347,340,342,337,342,287,278,361,346,358,331,364,373,364,353,333,344,372,366,343,352,372,374,369,375,386,350,363,345,362,383,369,252,354,388,357,240,388,397,397,401,400,402,358,363,388,391,408,327,394,391,405,403,314,399,401,381,413,317,374,397,407,405,397,355,421,385,395,417,379,382,375,426,425,433,401,424,419,412,369,436,426,383,438,423,410,447,444,447,401,428,367,445,444,378,446,399,399,458,457,460,457,459,458,444,434,294,461,462,430,366,457,459,471,421,403,386,444,394,434,460,423,386,457,476,481,354,429,460,464,370,384,425,435,393,471,459,429,457,462,439,494,419,487,455,458,491,473,489,473,452,333,503,487,426,340,466,462,495,515,458,510,465,409,438,524,481,440,509,441,468,517,405,423,507,521,534,489,527,499,518,478,510,512,539,501,525,538,471,475,475,383,489,530,543,511,528,540,508,490,478,456,551,512,541,558,533,561,524,558,502,493,535,573,498,543,535,554,500,514,547,500,490,561,579,582,586,521,546,555,467,568,542,589,557,578,576,498,595,498,569,579,542,550,605,559,582,530,539,588,596,553,537,585,612,547,584,596,603,550,501,599,558,599,564,603,623,508,515,625,595,602,626,578,442,621,611,630,597,472,637,576,631,481,628,622,646,607,643,612,597,650,513,650,572,632,582,612,519,515,644,648,540,649,662,646,579,641,626,635,638,624,663,624,603,671,616,628,645,673,674,663,646,532,506,643,593,618,546,467,666,638,689,544,655,692,694,676,690,557,676,658,641,702,554,698,572,621,583,660,679,689,644,635,535,605,674,714,649,612,640,717,703,723,639,615,501,666,703,714,640,732,726,613,646,709,538,713,739,686,668,694,720,611,716,730,642,734,605,648,597,746,752,589,727,589,738,492,752,760,758,672,733,719,748,534,747,549,764,693,763,772,747,725,654,498,661,682,573,528,698,728,781,730,733,737,757,770,577,703,750,701,711,514,737,660,791,784,696,769,711,709,655,801,729,789,721,751,805,669,786,723,626,795,784,786,760,815,683,764,728,803,772,635,782,749,722,807,638,790,687,821,795,770,745,773,762,780,798,797,670,796,712,825,811,831,709,824,703,638,670,845,750,780,701,835,750,792,629,847,796,807,802,833,798,816,847,646,857,483,805,658,787,844,852,766,824,753,812,859,801,881,748,731,824,834,666,799,717,811,878,860,841,857,819,745,854,600,548,872,827,900,850,694,766,903,892,782,879,666,881,682,833,883,772,701,868,787,778,604,655,849,785,701,840,845,843,893,901,868,795,882,931,881,844,862,934,834,682,745,763}

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Returns: 489523
{0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,0,0,3,0,1,7,1,2,0,1,4,3,3,15,10,0,5,2,11,7,7,12,11,0,11,0,3,0,2,1,5,1,18,14,3,18,1,2,10}

{2463,3816,5728,6606,9266,11336,12599,16552,17343,19408,21545,22552,25716,31318,31379,32179,34347,34788,38816,41328,42565,42901,43101,45563,46119,49165,51014,51151,51370,55227,57832,62582,62658,66105,66614,67168,67778,70204,70413,70704,71359,72182,72788,75431,79421,79581,80426,80675,83242,87714,90856,94904,95949,96425,97704}

Returns: 606677
{0,0,1,0,0,1,2,0,1,1,3,0,0,4,3,2,0,2,1,0,4,0,4,7,4,3,7,5,1,5,2,0,4,8,4,3,13,3,2,0,0,9,2,4,1,2,6,9,7,11,0,30,2,11,11,23,20,2,18,10,1,6,3,0,1,15,5,6,3,11,4,15,12,20,4,17,9,6,7,13,8,5,2,7,4,3,25,45,1,32,0,9,6,26,2,35,29,4,12,2,2,7,36,9,3,32,13,2,25,1,28,25,1,11,12,0,27,26,25,8,15,16,48,17,30,11,9,11,36,24,44,31,0,10,19,3,11,68,16,94,26,3,4,32,3,30,36,8,51,44,9,9,9,1,12,22,5,20,40,58,27,5,39,18,7,23,13,62,12,6,2,42,3,26,9,36,60,54,21,10,37,9,60,15,42,78,22,32,35,37,42,11,7,9,8,41,23,43,36,37,35,29,29,14,84,1,6,21,4,3,96,44,8,17,13,16,28,6,7,34,4,35,29,0,148,46,28,25,33,102,104,42,76,57,46,74,19,12,8,28,29,40,11,60,13,94,53,39,49,10,16,16,38,51,31,4,24,100,39,68,5,19,66,9,24,73,125,32,9,62,94,25,78,3,1,2,37,13,40,14,23,0,57,40,13,25,35,4,21,78,92,51,14,9,2,15,155,9,16,30,142,42,58,6,133,12,51,30,28,30,45,120,11,40,18,4,84,37,3,11,2,53,0,11,4,8,48,3,52,19,28,84,77,93,107,2,132,132,56,49,60,73,74,20,130,27,119,33,87,67,27,3,2,64,4,22,76,55,84,11,65,24,13,289,0,42,110,50,120,182,69,114,209,79,42,12,185,61,25,25,42,24,28,65,50,22,39,48,88,44,15,135,86,30,117,10,30,92,26,88,26,104,0,33,52,56,25,27,119,56,23,24,71,31,180,17,208,26,155,201,98,263,53,25,57,76,24,13,91,165,40,1,13,19,17,39,88,38,64,4,68,233,184,88,58,37,142,94,14,174,78,107,71,73,11,42,67,72,0,7,60,5,32,87,21,87,5,216,137,99,42,187,43,71,120,5,74,46,130,127,47,112,12,5,185,30,109,45,5,7,28,109,34,23,22,50,222,36,78,203,207,68,6,27,68,121,11,77,15,102,11,33,49,0,3,77,21,12,34,60,123,25,23,10,220,68,248,9,190,193,94,109,28,37,198,2,72,13,218,217,9,4,151,77,54,40,79,194,13,31,159,155,82,103,66,10,34,72,17,1,141,203,50,46,65,54,28,237,7,223,71,18,123,11,78,2,224,3,77,51,105,260,9,115,50,101,62,160,175,149,34,238,35,71,50,175,59,75,223,102,54,282,164,58,305,165,51,42,93,115,34,82,0,157,119,138,516,8,305,181,335,163,98,22,105,30,61,269,116,44,119,121,163,4,238,200,251,140,90,60,96,41,2,17,153,230,12,1,10,260,50,63,24,344,237,180,25,68,36,333,426,143,48,94,15,188,32,80,117,4,163,31,35}

{17,73,267,429,467,483,616,943,1021,1036,1078,1088,1275,1361,1516,1581,1642,2089,2180,2502,2518,2561,2605,2616,2800,3004,3123,3174,3245,3300,3368,3447,3534,3713,3841,3870,3880,3974,3978,4026,4116,4234,4244,4272,4277,4645,4658,4688,4815,4865,4874,4874,5255,5718,5954,6210,6303,6784,7083,7090,7168,7199,7273,7624,7968,8081,8242,8267,8341,8413,8523,8640,8735,8951,9171,9243,9447,9478,9529,9575,9715,9858,9930,9978,10103,10192,10417,10418,10753,10755,10764,11119,11219,11304,11447,11449,11538,11831,12246,12337,12419,12547,12955,12970,13012,13690,13700,13754,13904,13909,14014,14255,14315,14569,14573,14750,14860,15015,15394,15429,15434,15443,15554,15664,15967,16038,16241,16356,16412,16897,17042,17106,17338,17429,17457,17691,17697,17706,17713,17887,18094,18383,19089,19099,19237,19400,19426,19716,20047,20212,20317,20328,20397,20567,20617,20777,21293,21352,21358,21498,21596,21667,21694,21715,21804,21855,22256,22437,22542,22694,22976,22978,23118,23189,23765,23796,23820,23826,24231,24296,24442,24572,24742,24833,25143,25173,25402,25443,25525,25536,25737,25778,25898,25907,25932,26006,26026,26034,26042,26367,26903,27200,27332,27332,27937,27996,28072,28206,28498,28662,28736,28874,29410,29432,29507,29710,30072,30165,30254,30319,30438,30460,30663,31093,31168,31268,31282,31423,31558,31697,31787,31982,32121,32465,32722,33036,33060,33064,33176,33402,33573,33679,33927,34122,34421,34446,34642,34787,34813,35041,35322,35373,35556,35686,35695,35970,36090,36430,36551,36904,37058,37200,37259,37387,37522,37603,37718,37995,38201,38260,38281,38518,38588,38671,38841,38917,39370,39529,39854,39975,40000,40293,40326,40364,40762,40876,41009,41054,41092,41574,41730,41753,42014,42208,42231,42541,42546,43113,43338,43709,44098,44214,44354,44537,44625,44720,44874,45332,45390,45744,45750,45864,45971,46174,46330,46368,46976,47137,47262,47391,47575,47627,47777,47796,47884,47993,48122,48278,48373,48416,48591,48630,48650,48715,48720,48908,49069,49112,49190,49617,49665,49994,50025,50241,50425,50886,50910,51049,51071,51423,51629,51984,52029,52032,52133,52502,52734,52975,52988,53085,53174,53258,53763,53901,53962,54008,54029,54330,54646,54847,54906,54931,54937,55194,55362,55525,55531,55870,55884,56045,56098,56128,56250,56559,56643,56683,56795,56971,57126,57136,57141,57436,58312,58345,58755,58773,58898,59016,59030,59044,59238,59531,59537,59593,59853,59863,59870,59887,60191,60300,60315,60994,61135,61222,61415,61461,61494,61603,61636,61680,61744,61813,61880,61906,62038,62099,62432,62440,62749,63347,63435,63464,63681,63739,63762,63902,63964,64615,64631,64780,64814,65278,65349,65683,65738,65810,65952,66017,66173,66286,66388,66403,66416,66509,66577,66636,67032,67139,67176,67192,67250,67503,67617,68081,68157,68217,68240,68293,68336,68917,69061,69207,69575,70034,70190,70365,70472,70604,70931,70955,71029,71031,71240,71327,71442,71567,71630,71705,71774,72353,72385,72542,72658,72729,72743,72773,72787,72964,72997,73048,73084,73148,73185,73724,73762,74227,74483,74588,74874,75064,75396,75635,75659,75743,76239,76271,76531,76543,76600,76921,76974,77306,77320,77497,77615,77628,78301,78509,78557,78906,79021,79380,79648,79660,79708,79772,79782,79930,80289,80307,80545,80563,80728,81652,81714,81930,82038,82272,82341,82370,82462,82757,82903,82958,83022,83066,83101,83287,83474,83535,83542,83719,83782,84476,84625,84703,84755,84769,84876,84945,85023,85320,85515,85619,85650,85753,85852,85898,85947,85974,86070,86548,86837,86894,86969,87008,87016,87102,87128,87231,87446,88103,88454,88612,88791,88916,89015,89257,89338,89413,89633,89725,89793,89947,89973,90102,90430,90437,90817,91081,91160,91197,91373,91586,91642,91688,91730,91778,92092,92201,92265,92761,92894,93053,93111,93521,93528,93546,93716,93736,93785,94160,94287,94344,94699,94762,94784,94804,94861,95125,95134,95148,95552,95631,95652,95653,95739,95815,95890,95939,95955,96179,96392,96938,96965,97130,97267,97302,97359,97387,97389,97832,97893,98215,98602,98743,98804,98971,99568,99575,99892,99925,99943,99956}

Returns: 705352
{0,0,0,0,0,1,2,0,0,0,3,0,0,0,1,0,2,3,2,0,0,1,4,1,3,1,7,1,1,2,4,0,5,1,4,2,9,7,2,1,2,1,2,0,4,2,2,21,0,1,0,3,4,3,3,0,1,5,2,9,8,6,1,1,7,3,4,15,5,2,7,9,5,2,1,0,20,0,3,0,2,0,0,11,14,19,0,3,9,0,6,11,37,10,19,35,6,1,17,10,19,24,0,11,13,2,26,1,2,4,31,5,26,2,15,4,5,18,10,7,19,22,22,28,29,6,25,6,15,3,5,16,28,30,16,2,7,17,16,20,1,0,32,10,6,14,18,2,6,0,16,39,50,0,3,16,1,2,23,3,36,0,15,10,13,10,0,22,14,0,19,1,6,10,18,23,0,21,31,27,38,40,18,22,20,37,5,27,4,14,9,8,8,2,10,47,28,24,36,73,57,6,28,9,11,3,22,2,15,13,14,12,27,31,51,67,2,17,64,81,21,18,36,74,13,11,17,70,57,11,2,23,85,39,59,40,8,5,6,11,0,15,17,17,2,33,43,32,2,18,2,22,2,2,17,0,1,21,33,8,5,2,34,9,27,8,3,17,69,15,4,0,26,64,13,63,32,1,4,7,10,43,3,22,73,0,1,22,17,54,2,6,40,14,10,11,17,17,1,9,19,17,18,84,31,1,30,8,0,73,91,12,3,78,2,2,3,32,25,36,35,63,13,9,60,1,15,41,26,16,19,1,34,53,1,11,12,41,3,121,43,17,42,25}

{213,561,871,1473,1915,2001,2603,3041,3116,3258,3522,3770,3883,4235,4388,4492,5481,5608,5786,6042,6169,6494,6727,6789,6890,6952,7110,7184,7496,7666,7707,7853,8024,8171,8319,9265,9285,9447,9786,10057,10114,10476,10662,10764,10815,10997,11437,12045,12445,12710,12735,13684,13840,15926,15966,16053,16298,17131,17324,17400,17563,17575,18084,18324,18568,18891,19138,19614,19616,19645,20224,20303,20495,21035,21479,21535,21567,22205,22300,23739,23912,23973,24110,24215,24395,24568,24685,25501,25551,25797,26345,26912,27106,27132,28144,28252,28331,28388,28578,28971,29212,29273,29610,29699,29854,30292,30667,30698,31066,31173,31175,31221,31228,31264,31451,32014,32294,32631,32846,33147,33756,33803,34339,34497,34517,34563,34732,34859,35099,35150,35265,36063,36256,36462,36962,37107,37494,38553,38744,38772,39365,39594,39812,40437,40550,40806,41283,42342,43223,43294,43438,43589,43675,44032,44449,44678,44866,45145,45166,45318,45328,45388,45871,46042,46439,46510,46739,46754,47488,47667,47808,48014,48239,48350,48682,48918,49699,49757,49804,50379,50711,50770,51173,51194,51518,51562,51855,52287,52307,52365,52419,52499,52873,53286,54151,54623,55195,55434,55558,56493,57142,57241,57376,58302,58659,59318,59465,59660,59940,60011,60295,60416,60494,61995,62044,62639,62909,62960,62981,63391,63475,63896,63999,64662,65372,65421,66368,66392,66439,66807,66880,67015,67034,67874,68791,69169,69779,70131,70358,70708,70755,71255,71532,71823,72109,72168,74213,74337,74511,74516,74672,74886,74981,75555,75613,75741,76012,76317,76453,76605,76709,76785,77433,77763,77793,77878,77896,78214,78222,78339,78868,78966,79195,79305,79690,80086,80092,80135,80223,80489,80667,80714,80728,80932,81194,81217,81355,82176,82970,82993,83348,83536,84024,84595,84660,85285,85440,85600,85757,85861,86176,86222,86385,86792,87117,87218,87308,87392,87900,88211,88231,88617,88707,88889,88927,89362,89859,90003,90236,90660,90795,91574,92028,92511,92800,93277,93842,93997,94709,94964,95151,95337,95947,96290,96548,96937,96969,97529,97714,97892,98675,98983,99030,99206,99829}

Returns: 1346577
{0,0,1,0,1,3,0,0,2,3,0,6,6,1,11,10,6,6,4,0,6,2,2,9,11,1,6,0,1,2,1,13,11,20,21,19,11,14,12,17,8,9,29,29,9,0,34,31,13,10,36,30,0,41,5,4,6,2,26,1,32,42,2,7,7,12,53,24,31,30,27,15,36,57,19,17,17,12,25,47,74,37,54,10,62,53,47,6,63,21,4,72,12,4,15,7,28,6,7,29,57,34,37,6,30,5,28,66,24,12,73,34,3,18,31,25,17,4,12,34,93,3,11,11,19,83,116,11,107,75,15,50,44,18,62,5,79,44,56,42,6,7,14,42,50,68,38,22,112,50,66,56,29,114,4,51,123,83,13,0,97,3,44,23,13,59,20,109,57,80,27,92,79,4,53,56,50,26,36,81,15}

{739,1202,2613,2777,4800,4925,4933,5433,6361,7457,7464,8683,9330,9499,10114,10320,11162,12540,13885,13916,14562,14687,15362,15756,15867,17286,17543,17582,17811,17884,17919,17938,18404,19010,19714,19911,19983,20187,20231,20482,20795,21182,21348,21356,21399,22587,23237,23685,23956,24308,25255,25402,25812,26555,26888,27834,28218,28504,29684,30143,30661,31822,31854,34526,34946,35091,35301,36311,36995,37805,39151,40136,41399,41968,43909,44376,44532,45277,47869,47921,48063,49242,52437,52685,52993,53444,54067,54453,54453,54623,55064,55072,55409,55543,55901,56015,56201,57638,59865,60284,60834,61642,61792,61967,62669,63856,64091,64216,64235,64329,65059,65071,65100,65624,65975,66110,66260,66460,66948,66954,69123,69384,69913,70389,70639,70647,71526,73012,73786,73877,74175,74659,74909,74965,75184,75443,75548,76008,76411,76719,77680,78032,78045,78484,79014,79222,79878,80008,81736,81866,82267,83774,84154,84176,84443,84807,85705,87119,87851,88809,89050,89106,89317,89529,89598,90126,90202,91269,91828,91930,92490,93024,95198,95401,95646,95836,96658,96690,97522,98265,98543,99615}

Returns: 405308
{0,0,0,0,1,0,1,0,0,0,2,0,3,3,0,0,0,3,6,1,3,2,0,6,5,3,1,5,0,5,2,1,0,2,0,1,9,7,8,7,2,8,0,2,1,7,4,10,3,12,8,8,19,19,5,1,5,0,4,1,7,11,2,7,2,0,26,6,1,2,3,6,3,5,9,8,11,3,14,14,11,33,2,5,0,7,1,12,3,5,17,2,4,23,17,1,16,6,2,6,35,24,7,13,8,20,4,11,4,7,2,3,21,7,3,9,5,2,22,39,16,1,2,5,0,50,6,2,19,13,1,1,26,8,2,2,2,5,4,4,7,9,6,11,10,7,4,1,12,44,22,25,16,11,23,55,39,38,4,22,28,6,11,19,31,26,17,30,72,5,10,13,12,28,8,41,0,43,11,37,12,21,2,3,28,14,15,44,12,12,8,75,74,70,0,42,5,43,27,37,34,6,17,34,43,26,6,15,11,2,18,9,29,10,21,24,17,10,30,10,64,19,0,18,9,8,66,17,8,4,32,4,7,2,35,32,76,37,2,41,36,2,23,57,62,14,11,17,14,67,25,3,40,15,2,66,0,30,24,0,19,21,0,9,0,38,27,22,38,28,5,4,3,12,27,8,36,11,14,19,10,5,30,31,2,15,10,13,38,64,6,29,51,14,19,56,20,29,31,4,22,9,32,5,72,15,5,6,49,56,29,15,3,41,4,38,58,7,9,28,47,133,18,54,10,169,12,24,16,20,17,40,23,64,12,7,73,98,43,20,55,38,6,0,51,27,109,18,39,25,29,16,22,219,85,11,105,57,18,172,24,16,60,27,200,49,132,41,25,26,107,65,72,22,18,86,14,13,16,188,25,25,48,35,40,22,90,1,2,29,3,59,105,47,38,12,55,44,48,18,81,46,12,13,3,2,17,41,131,20,20,30,70,27,19,55,36,9,6,7,91,227,27,150,122,27,32,61,21,0,15,8,8,156,30,6,73,134,3,45,34,158,13,58,52,42,52,31,64,8,203,61,37,90,263,18,79,70,164,14,17,2,37,1,19,18,12,4,39,100,31,108,9,25,28,2,27,5,16,65,122,26,105,146,8,25,124,36,59,0,77,98,34,103,0,43,70,19,12,17,101,124,23,93,21,26,272,3,40,178,1,161,65,14,51,89,2,173,142,43,98,15,0,12,4,34,110,123,31,68,4,65,106,114,4,47,55,78,3,60,23,55,57,45,14,72,35,50,62,95,112,29,23,196,77,91,20,109,87,45,28,46,154,166,355,33,80,74,120,37,134,21,68,64,2,82,21,37,16,88,19,5,5,5,30,38,104,48,44,8,30,24,11,61,15,6,63,87,15,20,99,10,40,0,53,149,4,167,72,87,5,16,18,97,105,13,34,10,25,114,10,31,50,22,85,152,4,17,35,165,169,81,49,82,27,28,106,16,83,8,13,64,140,45,42,8,87,93,74,107,77,19,17,130,18,43,43,155,29,47,30,0,27,223,34,34,54,18,1,46,108,32,192,18,180,39,7,49,14,21,64,0,181,4,148,83,184,7,28,83,15,90,19,50,0,27,9,11,104,17,102,38,13,22,39,8,150,161,52,19,126,76,186,51,6,13,32,59,215,22,64,11,80,43,8,8,16,85,59,37,67,117,2,330,83,151,67,87,26,14,35,173,14,8,90,91,45,83,7,28,0,273,14,7,195,122,191,15,215,80,48,84,121,133,5,79,46,8,6,42,14,2,121,126,4,3,12,20,190,140,74,205,41,129,58,192,186,116,83,14,169,115,13,0,152,196,268,80,193,75,111,120,11,4,240,10,88,248,89,0,72,64,19,46,46,24,48,34,195,5,152,119,178,16,26,232,37,131,99,315,29,84,28,161,361,162,33,42,21,62,56,20,84,91,319,155,165,7,241,130,98,88,120,122,262,43,166,129,77,104,75,136,71,124,94,103,272,8,137,103,109,66,191,43,463,18,25,19,113,172,44,76,68,63,49,58,27,219,66,60,103,99,7,88,54,161,12,296,178,28,157,156,51,137,54,19,60,86,42,157,32,115,72,54,47,27,91,122,118,90,23,277,2,71,72,11,109,94,45,10,61,343,387,56,8,415,85,115,199,136,23,181,94,115,201,228,143,104,58,40,21,0,140,14,257,59,47,118,156,4,226,89,192,16,65,63,121,44,28,132,133,115,278,129,45,107,155,301,12,288,201,135,181,66,52,119,49,74,115,136,45,61,117,36,65,11,119}

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Returns: 323532
{0,0,0,0,0,0,1,0,0,3,0,4,4,0,1,0,0,2,1,0,9,14,0,0,6,3,14,9,0,8,3,8,6,3,9,5,12,0,6,10,0,23,6,2,11,8,6,0,10,12,1,15,5,11,2,16,22,2,31,9,11,2,6,5,9,16,17,9,9,0,9,4,12,1,3,1,6,5,1,6,12,8,12,4,8,28,1,3,4,5,12,2,5,25,39,4,27,12,10,11,23,9,47,1,39,76,27,3,2,3,23,21,58,5,9,40,8,0,1,38,29,0,3,3,53,43,8,37,7,0,37,11,22,16,56,33,15,32,55,83,3,15,54,6,67,28,1,20,40,57,13,18,3,29,3,74,29,8,14,47,25,14,8,19,13,12,8,7,17,4,15,13,14,23,31,43,91,22,10,36,42,52,60,15,42,79,55,3,1,0,44,85,26,22,13,12,38,59,6,15,23,5,2,57,93,46,81,20,3,14,99,43,19,31,29,59,29,30,25,85,51,119,92,9,53,11,19,68,60,5,113,1,29,84,0,34,31,23,11,203,6,9,19,51,32,43,59,170,78,56,81,2,132,129,5,35,24,6,11,113,67,114,81,22,102,12,10,13,71,52,5,27,93,9,16,61,22,61,120,23,125,121,54,14,54,18,40,43,104,48,12,166,81,40,34,26,22,24,26,10,6,10,91,97,3,53,64,41,5,25,88,69,49,74,134,32,58,90,52,26,33,72,61,18,89,81,74,59,16,52,47,12,59,67,9,77,12,35,74,8,87,41,5,106,25,118,37,14,152,107,62,31,53,8,5,112,100,10,8,51,90,5,41,2,5,31,11,47,76,1,44,147,8,27,136,21,129,80,102,4,1,6,0,79,87,226,78,1,183,80,67,23,81,39,206,18,44,25,111,40,129,8,134,3,129,168,134,101,50,108,63,47,47,127,37,111,153,6,7,80,237,32,60,58,62,134,208,96,3,1,189,24,11,61,119,110,41,69,78,17,59,13,43,87,38,157,120,176,171,252,20,81,54,100,148,21,83,122,33,179,11,177,39,55,151,157,39,39,22,176,8,12,52,160,14,170,103,23,103,177,36,75,20,97,25,146,342,92,58,19,187,50,10,30,47,151,44,113,67,37,30,106,44,8,37,37,202,30,94,24,79,20,36,68,17,214,153,1,115,30,125,2,158,231,18,31,89,107,56,77,85,25,41,79,248,29,41,69,53,2,33,117,85,17,56,52,11,98,48,0,82,7,134,220,28,144,73,10,244,44,55,127,117,108,72,132,36,249,100,300,101,195,6,48,314,84,154,83,120,46,248,72,81,88,147,119,68,272,25,28,109,52,27,82,132,118,90,101,131,9,51,95,124,142,48,106,68,53,18,21,85,3,355,6,24,80,337,16,83,11,34,45,53,84,345,30,36,139,193,132,13,45,26,36,24,328,170,27,97,183,88,5,257,37,24,114,203,241,24,102,245,104,65,191,103,27,220,67,32,3,54,182,42,71,49,174,154,270,50,26,110,84,125,29,78,70,151,43,14,313,46,40,161,165,4,186,165,77,25,52,239,48,27,138,19,30,12,267,25,12,257,177,38,395,89,68,172,426,33,158,68,252,35,25,21,114,27,71,32,142,80,312,7,53,105,160,170,14,9,146,171,61,94,7,4,20,1,208,225,150,16,242,10,261,115,83,253,19,45,87,114,23,220,53,162,15,144,15,46,206,27,128,245,56,64,33,70,88,75,26,105,1,3,60,282,91,76,47,95,166,131,295,98,92,250,78,79,71,157,143,375,90,61,281,252,177,196,302,101,381,182,26,34,10,579,143,106,37,21,55,396,12,134,70,83,21,551,31,172,210,4,68,144,9,79,33,232,118,316,239,293,346,112,150}

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Returns: 609991
{0,1,2,3,4,4,6,6,8,8,10,11,12,12,14,15,16,16,17,19,20,20,21,23,21,23,25,23,20,27,29,23,28,29,32,34,34,37,38,39,35,41,40,42,35,40,35,43,48,47,47,49,52,47,47,51,56,56,43,58,60,58,52,63,60,42,44,46,52,50,66,60,66,62,73,63,75,77,76,62,69,64,72,78,77,83,67,76,75,88,86,87,77,85,82,75,89,85,98,93,80,96,95,103,95,104,99,96,105,85,99,111,112,104,114,110,113,111,115,111,100,113,111,104,102,117,78,125,118,109,69,130,132,132,97,124,115,107,103,128,140,128,142,135,102,145,128,123,148,145,129,145,149,128,151,152,139,156,153,133,144,142,160,143,130,109,117,157,145,131,156,156,140,126,144,167,173,176,136,165,180,166,140,137,181,176,148,170,170,93,181,172,173,186,178,142,130,178,175,193,159,117,182,202,191,171,191,206,160,204,195,204,154,213,166,196,189,159,211,171,193,195,197,211,215,219,210,220,227,226,227,183,200,217,217,219,225,220,238,183,223,228,238,194,227,241,183,228,226,227,209,247,245,230,252,237,208,240,241,249,260,221,257,251,231,233,253,230,226,269,251,189,271,255,226,268,274,236,269,258,247,244,281,272,270,249,269,266,258,255,239,289,270,288,276,260,282,277,298,294,261,282,270,282,283,253,168,285,293,291,302,240,298,301,297,222,280,298,280,305,310,292,251,310,291,307,304,319,209,316,234,329,322,331,274,296,286,311,307,308,315,282,331,324,326,343,332,335,277,309,335,307,276,349,336,299,288,328,310,352,330,321,336,351,293,124,273,289,347,338,367,346,355,359,353,361,336,377,376,359,308,381,331,331,286,383,346,354,355,380,301,242,307,339,374,301,362,354,398,310,371,358,348,387,364,397,362,343,345,366,391,393,396,358,348,410,338,412,403,419,382,404,413,389,346,395,399,328,359,360,366,405,424,310,422,426,402,423,434,404,410,429,401,440,409,422,336,352,387,449,384,378,445,364,402,302,413,399,448,455,436,452,458,350,438,460,440,459,463,463,394,253,428,367,435,475,443,473,434,457,480,469,390,462,460,484,412,452,459,475,471,449,472,489,463,491,457,461,351,373,432,293,419,490,454,474,433,499,467,488,498,486,501,497,479,471,414,473,437,497,419,513,441,458,481,525,515,520,409,491,438,433,498,509,494,441,491,381,482,497,522,534,447,458,338,533,537,303,500,549,485,538,436,435,525,495,511,555,512,495,518,513,514,537,557,522,557,532,538,428,479,481,572,403,572,536,397,568,555,510,464,501,577,567,477,581,584,519,543,559,569,490,492,356,575,458,594,576,580,558,548,595,589,577,536,554,574,481,594,548,593,600,547,598,611,597,544,617,559,616,619,527,600,621,621,623,497,457,540,596,480,580,484,601,594,624,633,582,636,610,569,602,629,629,568,586,634,647,458,450,603,465,631,415,610,650,634,578,651,493,460,649,569,656,542,522,510,595,556,643,670,533,614,638,627,638,617,623,523,655,673,660,652,540,649,671,622,654,639,585,689,681,689,648,649,618,546,696,696,650,642,652,556,636,656,617,662,535,684,693,704,672,697,708,705,690,665,633,689,679,476,686,679,700,709,693,706,665,664,721,689,725,722,725,716,644,598,729,657,531,710,675,693,660,730,744,719,369,737,727,733,543,737,723,707,606,736,554,726,584,674,665,552,755,732,646,607,688,745,704,614,635,752,708,704,767,730,756,764,739,632,595,679,668,778,771,682,661,777,742,707,769,721,559,760,735,730,741,731,699,756,775,751,707,718,795,703,721,747,781,680,581,802,731,699,791,785,656,715,794,763,785,751,578,744,794,816,805,700,817,773,579,432,703,830,782,812,833,651,819,689,790,775,829,639,748,837,839,801,769,591,810,820,786,817,832,837,829,783,564,644,805,814,599,841,813,766,828,783,850,779,679,799,834,819,733,580,810,857,868,783,853,871,821,877,859,792,846,876,783,824,578,686,797,515,826,823,848,896,702,890,746,866,775,870,758,814,853,862,878,769,908,883,882,876,701,897,800,907,793,911,895,921,627,851,919,888,926,884,687,930,855,885,897,700,917,923,823,579,906,869,855,900,837,881,860,914,942,884,926,712,898,951,948,919,903,943,938,949,938,940,921,943,927,907,941,693,938,885,673,878,759,898,926,972,854,962,908,955,941,906,653,823,845,973,578,879,487,762,870,980,950,874}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,13,13,13,13,13,13,13,14,14,14,14,14,15,15,15,16,16,16,16,17,17,17,17,18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,21,21,21,21,21,21,22,22,22,22,23,23,23,24,24,24,25,25,25,25,25,25,26,26,26,27,27,28,28,28,28,28,28,29,29,31,31,31,31,32,32,33,33,33,33,33,33,33,35,35,36,36,36,37,38,38,38,38,39,39,39,39,40,40,40,40,41,41,42,42,43,43,44,45,46,47,48,48,48,49,50,50,50,50,50,50,51,51,51,52,52,54,54,54,55,55,55,57,57,58,58,59,59,59,59,60,60,63,64,67,68,68,69,69,70,71,71,71,72,72,73,74,74,75,76,77,78,80,80,83,83,84,85,85,90,91,91,91,91,94,95,97,102,103,104,107,108,108,108,110,111,115,115,119,119,119,121,122,125,126,126,127,131,132,135,135,138,139,139,140,144,146,148,151,153,153,156,158,160,160,164,166,172,173,173,175,175,181,182,183,184,185,187,189,190,191,191,193,194,194,195,202,209,210,219,221,221,221,225,227,234,237,244,252,256,256,257,260,277,278,278,285,286,286,296,298,307,313,321,323,324,330,333,333,335,343,366,369,374,377,378,393,394,400,405,407,409,410,412,416,417,420,427,428,448,462,465,465,469,476,480,480,496,506,512,516,522,528,528,547,557,586,587,588,593,602,602,615,618,622,622,624,631,639,641,644,647,648,652,652,654,659,668,680,681,684,691,710,715,718,751,753,772,772,782,786,787,799,801,801,811,825,826,847,850,877,883,901,932,943,956,967,969,969,985,987,1020,1030,1036,1042,1050,1053,1055,1055,1072,1073,1082,1097,1098,1098,1099,1105,1115,1124,1132,1138,1180,1180,1194,1243,1280,1289,1331,1334,1348,1362,1378,1390,1400,1411,1419,1448,1473,1493,1540,1544,1553,1557,1602,1606,1618,1625,1655,1667,1669,1678,1709,1716,1815,1835,1846,1854,1893,1946,1957,2007,2027,2028,2028,2084,2107,2123,2162,2172,2187,2203,2237,2282,2322,2327,2362,2394,2438,2595,2608,2622,2629,2651,2653,2667,2671,2683,2773,2778,2790,2827,2864,2864,2871,2898,2916,2922,2947,2962,3004,3012,3023,3082,3089,3142,3216,3265,3327,3327,3342,3359,3403,3446,3472,3474,3615,3635,3655,3666,3760,3765,3853,3889,3905,3915,3919,3943,4284,4372,4379,4402,4457,4463,4479,4535,4566,4586,4615,4627,4640,4666,4705,4719,4873,4884,4923,4978,5007,5049,5373,5375,5542,5655,5789,5862,5904,5979,6000,6087,6200,6212,6507,6603,6641,6691,6799,6810,6889,7403,7436,7475,7488,7511,7534,7562,7744,7890,7910,8006,8111,8366,8368,8554,8712,8790,8881,8931,9049,9198,9520,9724,9764,9880,9916,9943,10029,10065,10181,10272,10374,10641,10866,10981,11036,11429,11455,11536,11546,11558,11621,11784,11897,11899,11972,11989,12320,12481,12598,12754,13030,13153,13155,13275,13378,13754,14042,14062,14063,14102,14243,14287,14460,14897,14952,14953,15159,15247,15629,16093,16649,16881,16913,16926,16975,16981,17455,17877,18328,18340,18728,18927,19385,19607,19741,19751,20187,20355,20900,21450,21869,21970,21981,22506,22537,22553,22602,24419,24659,25181,25227,25347,25481,25623,25687,26922,27317,27463,27541,28439,28497,28590,28753,30186,30509,30934,31336,31943,32106,32661,32838,32933,33047,33219,33458,33605,34316,34433,34617,34999,35006,35083,35093,35627,35688,37048,37256,37385,38203,38522,38573,38928,38960,40067,40190,40671,40687,41702,41901,41938,42262,44033,44267,44295,45068,45102,45325,45782,46055,46781,47209,47424,47514,47536,47878,47931,48414,48658,48724,49111,49325,50853,51191,51815,51902,52149,53501,53589,54344,54910,54912,54951,56101,56246,58531,58841,59155,59602,60342,61097,61134,63320,63548,63839,64014,66213,67913,69272,70812,70865,71204,71583,71813,72005,73293,73753,78346,79134,79527,79845,79846,80623,80663,82014,82026,83521,83912,84736,85626,86484,86925,86965,89034,89945,92010,92636,96093,97245,97992,98306,99224}

Returns: 261387
{0,0,0,0,1,0,0,0,2,0,0,0,0,0,3,1,5,4,5,0,1,0,1,2,0,2,2,2,5,1,7,0,8,5,2,0,1,9,2,7,12,5,6,3,0,7,3,12,2,3,11,1,17,3,1,7,0,1,3,1,5,3,8,0,1,15,0,1,0,14,9,17,16,1,13,5,9,14,4,3,7,4,10,1,0,3,18,23,2,3,1,5,1,6,4,18,9,4,9,0,5,3,12,6,16,35,3,1,3,6,23}

{153,914,953,5721,7756,8640,8828,9491,13276,13347,16760,18192,19842,20901,21187,21640,21971,22131,22316,24184,25980,26208,26478,26695,26845,26867,27028,27067,27428,28079,28082,28344,29411,31556,32818,32830,32875,33616,35440,37244,37507,37540,37575,38556,39541,39725,40111,40198,42023,45582,46086,46469,46977,48436,49266,50456,54549,54909,55025,56395,57219,57329,59114,62420,62517,62913,63047,67516,67899,68240,68863,68983,69837,70577,70928,71752,73960,74099,75645,76102,76700,76930,77425,78322,78328,79535,80366,81808,82001,83846,85401,85403,86229,86521,87462,88048,88684,89635,89746,90646,91030,91083,91111,91623,91666,93021,93088,95397,96891,98746,99488,99681}

Returns: 904686
{0,0,0,1,0,0,0,0,0,2,3,2,1,0,1,0,0,2,2,2,3,8,4,6,11,2,1,0,0,12,2,7,8,7,13,0,11,9,1,2,3,3,1,1,9,9,0,20,3,3,4,11,4,12,17,10,0,0,2,14,29,6,6,15,5,21,7,3,36,10,1,1,1,0,18,14,1,30,37,10,7,3,1,13,5,27,11,1,18,5,52,0,11,24,6,12,12,24,10,5,22,3,23,3,16,10,30,18,15,15,36,30,35,30,40,4,30,4,0,14,20,1,14,37,25,9,13,3,28,10,11,3,23,7,13,16,43,21,35,35,65,2,17,5,10,20,19,34,36,7,13,10,14,9,45,8,14,10,50,27,71,32,27,5,63,29,53,40,0,44,51,30,31,63,7,0,38,42,77,28,24,18,20,14,3,30,1,17,4,76,16,13,9,3,4,4,4,13,8,24,3,10,102,23,15,21,16,87,9,8,76,58,40,164,0,60,55,14,34,100,35,49,0,49,55,33,0,105,36,22,67,17,22,4,14,11,32,36,13,90,0,0,64,7,47,52,17,75,153,15,1,2,68,1,25,60,64,47,23,65,74,83,12,70,14,14,33,35,9,43,1,48,53,34,94,3,2,59,63,41,24,11,85,37,88,100,38,12,57,43,7,47,52,43,42,13,24,19,6,72,49,24,73,19,30,41,113,27,116,11,31,62,8,0,91,45,7,78,0,4,0,0,52,14,30,19,8,54,71,82,53,69,78,8,94,99,64,131,152,130,13,118,4,48,91,119,65,71,68,158,59,13,29,55,99,91,93,67,8,65,41,170,40,0,81,30,45,172,29,21,20,2,27,9,22,183,45,55,10,48,136,40,141,45,40,57,70,21,2,23,149,134,180,40,63,2,21,36,72,75,90,51,122,25,18,60,78,31,30,91,43,41,5,137,8,95,101,5,1,19,27,65,101,28,12,19,85,39,6,203,100,115,42,65,36,32,129,146,3,171,105,47,135,8,70,4,85,40,75,42,175,15,43,15,31,2,75,71,5,36,53,164,151,166,40,98,64,26,0,15,20,19,149,59,64,14,61,3,58,54,102,2,111,145,173,37,120,151,266,102,84,43,2,47,7,149,122,172,6,42,163,17,23,12,56,18,6,178,39,19,128,19,121,63,169,10,1,33,208,32,121,61,49,69,29,98,120,100,10,101,115,14,24,113,65,10,17,0,4,108,84,43,102,98,28,139,67,130,63,47,2,12,42,71,7,51,66,24,88,50,33,6,177,69,109,120,45,0,193,22,157,8,40,19,18,5,134,146,130,296,136,35,47,88,73,24,79,197,187,7,50,160,36,109,35,265,6,57,28,65,59,8,46,58,44,13,93,14,80,47,295,68,96,93,42,40,108,9,204,78,48,29,40,35,11,20,5,166,43,155,89,97,38,1,178,46,53,22,169,42,65,166,210,171,39,51,163,6,101,164,209,10,84,49,114,58,70,34,334,186,8,216,36,47,321,62,80,2,77,52,51,4,166,159,56,33,293,148,116,35,25,99,96,236,56,92,75,190,138,2,8,288,16,53,22,55,20,55,268,88,130,76,53,169,73,105,47,2,160,44,132,130,55,295,95,178,152,42,23,240,52,47,71,157,141,34,10,40,92,32,49,301,69,218,2,31,154,30,51,103,405,122,72,104,74,46,113,102,241,22,61,45,232,79,67,67,76,53,301,110,116,123,101,161,238,155,9,174,154,192,393,81,88,39,4,50,31,387,99,147,209,43,78,104,30,43,34,84,33,0,294,60,9,154,325,25,53,482,38,125,184,167,14,50,72,8,168,150,163,202,52,13,307,47,108,50,7,31,95,209,250,268,94,145,53,117,191,26,136,169,51,16,39,57,229,90,25,183,208,40,64,186,335,363,336,9,432,39,89,93,221,239,84,139,249,161,182,148,547,306,113,180,2,64,172,47,270,138,244,24,271,358,193,26,282,3,27,68,52,133,17,310,125,234,326,40,98,290,103,208,190,78,190,166,235,124,33,156,144,37,114,76,117,423,193,54,210,98,196,312,1,164,267,210,98,0,161,150,147,115,273,305,470,501,22,4,228,33,216,210,24,74,94,47,26,250,144,67,456,27,179,150,1,116,127,119,59,35,3,60,184,47,42,28,70,153,233,131,122,3,287,454,213,430,306,12,203,114,53,78,189}

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7990,87991,88075,88095,88174,88230,88463,88529,88560,88779,88846,88854,88866,88937,88937,89279,89364,89477,89844,89912,89945,90000,90139,90183,90351,90390,90543,90716,90882,90942,91000,91223,91377,91395,91564,91671,91719,91804,92047,92106,92388,92560,92595,92599,92604,92737,92808,92814,92950,93125,93262,93267,93377,93409,93468,93721,93788,94085,94123,94124,94274,94564,94588,94671,94730,94735,94756,94766,94857,94910,95004,95115,95145,95276,95292,95490,95538,95581,95752,95769,95787,95990,96158,96219,96486,96533,96599,96724,96768,96829,96891,96910,96971,97017,97110,97256,97350,97358,97454,97581,97665,97716,97723,97738,97957,97968,98086,98183,98408,98493,98552,98570,99076,99150,99539,99543,99739,99795}

Returns: 922219
{0,1,2,3,3,4,6,3,5,9,10,10,5,12,10,13,14,15,17,17,19,14,21,22,21,25,26,11,26,29,22,26,8,18,31,30,34,36,29,37,40,40,36,31,18,30,46,44,46,46,41,45,16,53,51,51,49,52,54,56,42,58,62,61,39,50,61,66,68,54,63,70,60,61,69,69,61,64,29,63,55,77,81,66,68,80,77,85,63,81,80,89,76,91,73,57,39,72,72,97,93,78,67,101,35,79,103,43,104,106,96,72,67,84,105,99,102,111,97,82,99,121,80,71,89,81,86,93,96,128,100,121,131,115,120,124,91,108,115,86,121,94,133,62,117,109,102,76,139,110,138,106,143,143,152,102,151,147,129,139,127,144,154,145,164,83,163,154,116,160,148,138,153,126,147,140,153,168,166,146,169,137,144,131,169,185,152,143,164,132,162,106,170,150,168,155,145,178}

{203,1285,1427,2118,2587,3103,3596,4073,4664,5877,6571,6631,6730,7769,8017,10145,10272,10450,10566,11526,11837,12019,12113,12803,13099,13568,14254,14280,14563,15263,16096,16159,16674,16794,17232,18024,18413,18539,18567,19029,20845,21250,21298,21567,21590,23446,23750,24207,24510,24833,24972,25599,25875,25919,26420,26627,26910,27024,27555,27721,27905,28198,28323,28562,28902,29139,29725,29755,30089,30687,31124,31439,31465,32702,32723,33676,34449,35774,35920,36264,36603,36728,36863,37546,37738,38275,38365,38516,39791,40013,40198,40761,40840,41520,42019,42220,42927,43620,43671,43767,45005,45217,45303,46161,46540,47533,48015,49261,50497,50533,50708,51806,52130,52307,53594,53903,53965,54530,54936,56706,57034,57572,57819,59369,59642,61420,61707,61868,62336,62480,63623,63717,63754,64263,64837,64842,65541,66029,66761,67236,68035,68473,68938,69173,69466,69781,70637,71295,72215,72248,72935,73262,73586,73627,74175,74650,74817,75344,75397,76706,76873,77687,78359,79667,82375,82847,83488,83518,84174,84403,84528,84675,84872,84959,85510,85539,85588,87079,87950,88350,88906,89196,89810,90606,91574,91753,93596,94119,94232,94354,94542,95070,95228,95603,96332,96377,96912,98296,99956}

Returns: 319840
{0,0,0,0,0,2,1,0,0,2,7,0,0,0,1,2,8,1,0,1,7,0,5,2,15,0,13,1,2,10,3,1,0,3,3,14,6,2,0,7,29,11,7,4,2,20,10,3,9,4,14,29,9,6,4,12,10,17,17,3,13,12,10,15,38,0,2,13,23,2,4,12,38,17,50,1,2,8,22,3,8,5,19,17,3,3,15,13,28,9,9,25,6,8,10,10,4,44,4,22,17,35,15,11,5,6,12,20,4,4,41,61,10,21,26,30,2,32,29,18,6,46,15,27,12,9,10,1,17,7,19,2,41,18,6,25,17,41,75,2,9,8,29,6,48,7,24,51,21,27,39,51,19,5,20,58,65,36,1,4,44,12,1,46,6,70,20,36,1,26,0,17,6,58,24,17,9,114,1,29,14,36,11,9,3,1,3,11,9,60,47,38,14,23,20,96,102,60,21,24,17,29,13,91,27,69,41,28,61,7,49,54,14,33,23,0,54,61,38,17,47,80,57,25,52,91,14,26,13,11,11,29,38,143,47,11,10,44,37,35,23,96,56,1,57,15,70,28,28,152,10,26,20,46,73,58,116,81,2,4,5,60,43,16,222,138,28,90,77,157,24,140,17,27,98,17,14,58,105,8,137,5,72,0,47,22,69,7,19,22,38,191,51,51,15,0,22,1,37,63,41,37,44,33,76,32,50,192,81,24,58,27,145,20,59,48,60,112,65,31,44,78,3,144,30,7,5,30,4,138,102,102,63,174,30,30,95,46,47,24,7,78,109,120,56,23,78,24,81,8,91,51,44,29,94,66,105,124,40,133,145,101,2,22,169,10,33,24,203,44,100,23,119,67,28,76,229,62,28,41,209,167,9,37,117,163,52,63,68,152,95,148,66,73,21,37,125,41,126,43,11,92,71,88,41,140,38,20,16,3,37,157,43,99,23,4,96,17,128,221,22,103,52,139,95,56,40,14,112,84,154,41,87,73,38,3,4,94,7,68,91,75,20,180,85,11,12,10,165,90,51,37,20,194,52,13,42,79,81,27,153,252,61,0,21,126,3,236,40,9,59,47,203,101,17,159,0,4,276,231,67,205,0,121,298,114,229,87,111,181,179,90,34,47,130,242,184,206,195,26,12,27,4,138,95,5,81,42,131,161,94,151,297,146,253,243,86,48,51,79,15,162,70,160,146,22,76,31,75,148,37,24,19,189,118,253,32,45,194,38,166,19,117,269,43,189,62,155,7,158,325,20,204,176,26,7,44,62,154,179,201,207,306,29,51,2,75,31,270,8,13,129,233,56,105,1,22,124,108,8,20,123,45,70,197,151,75,105,76,46,132,114,208,40,114,59,38,193,157,268,236,49,264,101,218,195,93,16,339,227,159,98,58,292,14,4,73,23,38,21,71,161,19,44,49,314,21,134,187,218,281,267,104,258,19,278,95,41,28,3,94,284,35,310,117,29,161,112,33,240,124,138,78,8,288,222,136,6,109,20,116,157,141,141,92,5,21,39,32,5,236,49,0,340,138,199,204,29,287,175,88,81,100,87,83,46,42,387,135,337,144,23,197,82,160,99,95,274,357,202,105,15,111,55,1,173,46,220,182,227,38,41,354,13,21,62,232,18,16,76,282,59,1,57,60,28,354,125,208,96,155,96,222,167,75,11,30,263,151,342,244,7,369,9,104,94,351,36,183,78,87,250,37,45,232,53,220,210,78,337,155,167,70,91,191,25,81,261,22,212,416,164,95,83,191,168,306,0,79,81,95,157,135,17,6,7,522,187,12,157,251,237,363,10,263,154,41,66,45,138,143,106,171,220,229,403}

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Returns: 610172
{0,1,2,3,4,4,3,4,5,8,10,11,12,13,12,13,12,17,7,6,9,16,7,13,11,20,24,22,23,27,23,11,29,32,27,34,8,31,26,25,34,21,23,17,38,19,44,33,12,41,23,25,15,25,47,12,35,54,30,37,28,35,56,46,59,30,41,47,36,28,38,51,36,58,27,70,16,55,58,19,47,48,58,41,79,25,84,44,29,78,31,86,66,70,48,59,66,29,65,69,87,94,100,40,82,3,90,104,86,57,76,94,106,94,43,78,79,90,54,72,9,87,103,62,89,80,112,73,56,75,120,119,19,99,4,134,50,114,65,139,108,139,35,121,138,132,146,86,51,114,147,91,63,141,92,123,64,142,114,117,127,136,158,98,163,134,166,167,136,162,128,147,132,109,115,161,53,141,149,96,50,102,178,19,156,184,80,11,107,167,132,156,149,48,66,183,14,193,184,98,7,68,187,158,24,57,206,172,69,58,145,134,87,134,199,100,199,183,216,174,142,56,148,134,76,156,222,150,141,206,178,145,154,222,98,196,157,173,154,157,194,82,206,127,235,148,185,132,198,62,160,153,206,248,193,161,132,186,185,253,58,222,208,144,228,257,175,199,168,131,147,191,160,228,113,162,205,109,181,155,211,173,224,259,229,196,235,15,168,134,104,83,93,286,263,233,294,196,271,281,162,298,104,102,195,262,222,268,266,208,19,182,297,133,167,254,274,258,154,91,235,290,272,283,207,314,160,227,249,286,168,240,249,264,318,317,66,115,335,264,205,229,312,266,268,146,179,217,262,276,130,150,127,204,343,183,145,269,133,110,319,206,338,140,217,348,268,50,304,273,75,120,145,234,106,356,254,250,336,211,351,358,365,210,245,96,253,119,380,386,365,352,152,216,256,236,350,312,398,354,310,272,376,165,326,263,94,396,218,344,141,287,269,358,190,137,400,341,333,245,223,223,241,142,178,342,414,38,304,64,166,405,417,265,82,408,414,172,338,439,277,341,284,142,49,58,305,202,214,336,385,300,188,276,444,310,359,299,439,410,233,446,354,305,138,224,196,411,380,276,198,405,384,391,459,210,431,432,239,223,445,424,436,433,360,177,377,415,389,195,434,324,387,471,198,491,364,184,195,272,157,484,146,436,392,247,474,505,209,454,490,134,416,468,353,180,328,224,411,298,209,506,197,331,373,472,323,343,523,219,257,347,491,522,506,430,508,391,320,507,462,328,471,387,460,325,160,283,240,355,287,304,417,483,409,482,505,472,355,449,189,96,487,489,501,427,511,393,371,365,154,517,219,556,437,157,378,393,349,372,516,312,475,493,413,301,375,507,284,448,397,577,171,513,208,421,566,488,245,431,434,324,531,529,221,283,327,254,497,522,101,430,510,68,468,602,487,139,471,350,528,302,495,545,451,604,467,502,275,518,528,440,511,462,291,441,616,207,545,178,324,410,525,423,264,636,168,258,324,106,508,637,568,495,552,368,537,550,254,157,615,586,584,600,492,416,288,305,465,184,650,511,659,346,640,575,255,479,232,629,501,560,125,564,411,640,492,658,598,593,513,493,509,569,402,181,396}

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Returns: 393048
{0,1,2,3,4,5,6,6,7,9,10,10,12,13,14,13,14,12,18,17,19,18,16,22,24,24,26,26,24,21,29,31,29,31,32,33,36,36,38,37,38,29,32,41,29,43,43,44,41,43,45,50,52,43,50,39,47,46,58,40,40,56,59,62,37,65,52,67,68,59,66,61,67,65,69,68,60,73,69,72,68,62,75,76,57,70,81,84,79,64,84,80,76,89,90,88,93,90,98,91,97,59,98,99,83,102,96,107,91,106,75,88,96,96,78,106,94,76,85,64,106,93,122,122,81,125,88,126,91,112,106,130,123,119,132,129,132,91,135,126,89,116,141,139,114,134,126,131,135,116,136,148,114,143,139,151,133,148,59,148,158,149,146,155,157,151,153,159,99,167,161,160,162,169,150,174,169,136,148,166,167,160,133,150,139,185,181,177,179,165,126,191,153,176,194,187,195,147,196,184,187,154,185,198,198,192,189,176,205,188,203,193,196,202,181,146,214,200,177,204,219,201,186,157,206,190,216,213,219,214,212,217,232,215,229,203,157,204,234,196,240,241,154,186,236,228,245,234,244,202,195,228,249,253,253,230,206,238,179,227,237,224,172,243,228,196,254,239,259,239,260,232,257,235,230,274,256,275,262,217,275,197,257,271,275,240,248,279,268,196,250,265,270,292,291,242,291,202,284,223,225,261,302,303,227,277,268,306,215,274,232,301,250,294,306,282,297,295,289,295,299,235,315,218,320,312,307,279,320,302,282,316,299,312,241,333,334,327,330,323,302,166,314,298,278,288,304,341,347,329,213,340,285,351,353,341,317,351,281,287,353,322,340,363,231,346,337,318,300,305,278,351,310,355,357,372,371,377,375,353,341,381,341,267,329,324,323,372,373,386,389,383,316,386,346,387,325,262,262,315,379,305,265,357,384,390,372,285,407,402,260,388,393,365,407,389,395,355,372,389,416,217,323,388,423,421,364,245,390,357,422,367,375,433,420,397,238,413,433,378,391,330,360,374,392,438,396,403,403,435,448,433,401,452,320,368,433,398,282,420,443,355,324,462,459,419,454,390,426,448,468,418,357,460,407,388,380,416,471,450,397,342,295,473,329,386,480,475,417,476,451,485,474,480,444,495,431,430,465,480,494,427,477,423,487,434,361,342,469,487,423,500,393,408,500,514,458,459,484,248,444,460,414,521,421,389,517,518,282,466,526,428,519,428,455,514,470,491,456,533,409,495,487,333,348,523,457,478,546,420,530,536,525,550,504,255,552,521,485,552,560,547,350,538,529,545,533,505,512,524,565,566,533,532,533,549,546,486,444,412,567,556,527,520,485,384,534,465,448,558,567,446,456,532,558,517,590,462,399,572,571,597,542,532,565,578,514,595,543,564,352,576,550,458,606,578,407,524,503,590,500,515,512,578,623,624,614,612,522,617,614,544,592,516,570,481,584,609,597,610,629,553,642,588,644,556,631,615,595,529,538,630,553,648,498,596,478,609,336,651,641,446,647,632,545,652,493,627,576,669,668,660}

{126,377,570,661,685,1027,1090,1157,1166,1311,1507,1542,1580,1651,2054,2065,2076,2116,2128,2396,2408,2456,2950,3283,3379,3585,3697,3791,3794,4069,4213,4552,4582,4857,4928,5002,5007,5503,5700,5834,5962,6147,6219,6361,6452,6525,6542,6545,6656,6874,6909,7001,7158,7244,7416,7420,7621,7676,7731,8007,8039,8360,8627,8690,9193,9292,9660,9960,10001,10131,10331,10490,10566,10681,10681,10765,10986,11185,11222,11301,11393,11423,11489,11614,11641,11646,12012,12264,12300,12327,12449,12577,12666,12983,13175,13397,13408,13459,13473,13600,13799,13833,14265,14362,14738,14769,15109,15251,15603,16143,16290,16356,16617,16840,16872,16993,17078,17219,17503,17589,17619,17629,17695,17789,17826,17835,17898,18083,18212,18239,18256,18278,18335,18342,18372,18751,18871,18921,19073,19275,19325,19476,19522,19665,19723,19847,20475,20512,20571,20588,21343,21762,21938,22376,22471,22681,22695,22812,22886,23000,23305,23316,23832,23889,24927,25110,25331,25474,25563,25742,25862,25990,26292,26300,26541,26594,26801,26993,27032,27052,27091,27277,27558,27684,27735,27781,27866,27877,27910,28243,28295,28346,28697,28702,28838,28865,28879,28942,29397,29426,29632,29652,29948,30098,30352,30415,30491,30633,30828,30893,30974,31037,31175,31282,31705,31902,31940,32729,32768,32972,33033,33230,33359,33436,33636,33660,33984,34024,34068,34109,34225,34468,34842,34892,35063,35095,35279,35376,35472,35690,36235,36310,36637,36761,36845,37065,37090,37120,37256,37424,37451,37738,37791,37814,37848,38019,38079,38292,39062,39263,39435,39482,39606,39698,39706,39766,39803,39859,39871,40066,40157,40388,40431,40450,40766,40822,41147,41497,41570,42008,42018,42020,42151,42277,42326,42664,42735,42930,42934,43640,43727,44115,44198,44273,44338,44358,44521,44611,44657,44747,44788,44989,45608,45692,45708,45934,46372,46565,46852,46874,46883,46886,46911,47200,47291,47417,47807,47885,48193,48254,48339,48908,48971,49098,49203,49249,49364,49385,49425,49439,49515,49519,49625,49716,49803,49877,50376,50400,50436,50552,50577,50626,50729,50798,51036,51164,51255,51693,51858,52036,52037,52347,52371,52763,53119,53360,53388,53659,53799,53826,53896,53965,54031,54140,54380,54389,54393,54655,54661,54680,54813,54967,55067,55089,55166,55301,55398,55564,55590,55776,55790,55822,56060,56147,56452,56558,56576,56594,56635,56775,56776,56886,57042,57204,57454,57644,57674,57682,57791,57967,58232,58276,58376,58470,58711,58717,58946,59151,59361,59556,59570,59596,59915,59930,60057,60297,60413,60582,60960,61072,61133,61405,61868,61915,62366,62609,62887,62952,63529,63797,64393,64504,64509,64683,64825,64855,64887,65216,65413,65531,65728,65941,66147,66239,66335,66482,67449,67672,67818,67842,67962,68143,68259,68459,68635,68708,68773,69073,69225,69355,69499,69889,70043,70119,70247,70607,70880,70883,70928,71294,71308,71333,71432,71667,71914,71921,71974,72100,72296,72390,72738,72866,72930,72961,73054,73083,73171,73199,73200,73608,73613,73700,73855,73941,73962,73990,74007,74156,74364,74507,74827,74849,74899,75141,75208,75282,75558,75663,75893,75906,75915,75916,75958,76008,76053,76481,76630,76687,76822,76931,76934,77187,77285,77490,77491,77693,77728,77803,77946,78089,78262,78449,78495,78538,78579,78739,78887,79042,79373,79799,79964,80227,80380,80979,81014,81073,81104,81255,81321,81332,81437,81614,82087,82184,82240,82294,82406,82450,82469,82585,83008,83027,83035,83046,83165,83186,83231,83250,84022,84154,84289,84547,84618,84665,84685,84859,84974,85532,85568,85788,85870,85952,85998,86599,86850,86960,87091,87131,87142,87222,87349,87350,87518,87557,87732,88103,88133,88430,88604,88718,88736,88992,89021,89243,89314,89501,89623,89706,89934,90601,91059,91174,91251,91447,91633,91804,91897,92122,92215,93150,93287,93503,93603,93633,93638,93718,93802,94197,94354,94590,94703,94823,95352,95353,95445,95501,95523,95557,95734,95941,96076,96449,96583,96812,97039,97097,97246,97333,97408,97458,97467,97532,97657,97808,97842,97963,97973,98106,98190,98276,98388,98700,98744,98840,98845,99137,99241,99387,99455,99673,99840,99937,99997}

Returns: 411490
{0,0,2,2,2,1,6,2,0,2,10,4,8,11,3,2,13,14,13,1,11,6,3,4,8,22,13,10,3,4,27,27,32,16,29,8,4,36,3,22,0,21,15,11,31,15,32,5,25,25,15,6,43,21,18,49,11,52,15,52,15,11,36,35,45,30,10,50,28,69,68,52,53,49,41,62,14,72,37,4,11,54,6,43,5,79,80,18,41,8,63,16,16,8,50,25,80,84,92,59,27,10,56,12,96,59,51,17,68,4,78,108,87,22,55,80,56,103,111,15,44,58,96,81,45,62,65,87,40,92,93,109,60,0,90,75,18,12,27,127,8,84,42,34,135,5,61,84,67,59,39,30,73,103,17,138,149,145,81,91,142,122,66,35,160,18,157,136,98,103,120,155,38,18,114,68,26,148,164,79,90,29,45,110,30,165,64,172,123,83,22,35,58,152,128,173,132,105,180,63,37,103,200,5,2,197,145,13,156,193,16,42,111,1,111,103,43,47,199,160,156,138,31,201,173,55,68,19,29,63,121,22,187,46,100,72,30,228,32,80,238,130,50,178,73,189,5,134,170,36,3,249,65,186,132,25,172,11,54,67,193,209,217,257,212,55,95,74,6,45,244,50,102,82,61,163,56,121,103,239,48,98,238,3,247,40,120,91,148,192,82,90,34,208,262,10,231,179,279,178,21,284,299,88,68,276,106,283,68,156,124,291,22,221,11,314,101,6,204,196,47,163,250,47,219,258,0,98,202,213,73,291,330,85,135,3,179,30,334,206,57,205,332,19,104,203,147,176,240,95,78,79,80,167,281,178,179,88,46,253,265,253,198,299,192,90,162,248,10,325,335,268,69,137,22,320,65,143,373,82,238,281,129,170,345,310,42,367,187,71,229,109,246,145,39,220,148,17,76,32,210,4,257,69,196,230,28,49,222,107,33,357,376,243,176,316,323,74,81,87,273,154,421,257,261,388,331,109,153,346,120,111,212,297,68,274,144,207,168,397,90,104,407,229,121,24,247,113,65,22,217,313,365,99,213,237,400,411,132,450,396,24,408,224,412,237,354,325,133,223,95,384,254,193,140,7,196,158,33,103,201,115,453,145,191,35,25,28,347,49,244,393,241,102,486,271,127,360,127,160,344,481,300,309,201,259,275,375,168,394,240,28,434,395,420,232,308,336,220,343,38,342,12,74,9,217,459,138,24,351,193,250,217,227,445,16,148,370,417,305,467,178,288,234,257,528,391,213,388,452,456,339,182,258,49,220,306,331,505,123,111,267,214,31,466,492,528,478,381,292,201,65,281,128,394,363,196,460,495,420,437,355,160,447,165,501,364,458,561,449,297,484,580,52,50,49,41,235,301,119,453,169,364,133,236,542,399,131,584,271,375,138,208,259,602,283,273,289,368,267,333,358,258,317,38,260,565,58,321,53,499,121,164,333,511,427,464,112,220,584,3,113,204,557,508,357,33,485,360,273,417,507,633,100,140,209,565,552,207,537,334,91,4,457,418,534,265,123,151,493,629,499,188,279,183,76,326,633,300,565,240,487,603,94,321,89,41,424,82,628,362,64,257,152,619,280,280,500,326,447,666,528,218,291,646,58,37,337,346,92,97,544,427,629,34,411,156,695,501,78,528,234,263,37,463,73,385,159,637,147,338,412,271,631,476,705,625,147,28,225,313,433,439,302,252,660,599,5,34,386,537,92,631,98,343,392,406,396,323,586,743,35,131,653,502,248,246,475,385}

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Returns: 389333
{0,0,2,0,3,5,4,6,8,4,4,10,4,7,3,12,16,16,9,13,6,12,6,8,24,19,4,17,15,27,14,24,19,33,17,26,17,21,35,30,23,30,15,29,37,31,31,20,38,33,35,14,46,38,44,44,39,50,48,57,52,59,59,60,64,54,33,54,42,69,30,52,61,60,54,13,22,64,77,41,49,52,81,48,63,28,66,54,25,25,53,46,83,59,84,67,39,9,37,91,75,94,62,79,94,79,80,42,33,78,82,59,68,39,111,96,114,45,57,46,87,80,77,115,112,123,92,83,116,71,99,110,39,115,55,65,73,95,36,82,49,18,139,113,134,141,23,139,142,141,93,15,122,109,125,109,153,93,124,132,160,41,83,83,25,128,90,50,131,148,36,116,101,109,149,135,93,104,79,110,127,135,99,50,43,91,157,74,135,130,135,31,189,172,140,174,156,92,110,156,122,105,135,167,38,156,96,205,200,186,199,188,137,183,101,191,158,201,177,180,139,73,170,199,108,161,115,191,146,209,89,121,192,58,208,102,223,162,148,215,128,138,236,218,218,241,171,236,162,125,107,62,247,205,100,237,110,139,248,229,202,119,253,229,191,130,62,159,129,265,174,234,217,218,35,189,122,224,191,190,73,226,253,177,252,183,132,287,124,58,114,231,101,71,81,65,228,189,241,150,164,52,205,221,244,188,199,99,156,128,289,157,111,174,281,244,262,248,273,315,140,234,232,236,33,304,291,325,147,219,137,280,184,263,211,131,251,302,323,283,247,248,204,238,185,143,231,300,227,180,286,200,170,311,298,73,141,304,270,305,259,306,234,360,346,237,338,353,295,343,252,291,303,283,121,250,317,373,365,363,59,232,326,363,249,267,195,236,181,384,297,171,232,260,101,354,246,318,286,168,206,377,322,279,293,367,303,382,316,294,287,284,244,376,343,346,405,340,388}

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Returns: 336129
{0,0,0,0,2,0,3,0,0,1,0,4,0,1,1,1,0,6,0,0,0,1,2,2,3,1,6,20,6,1,1,6,3,3,6,1,7,5,2,11,0,5,1,2,7,11,2,17,1,0,0,6,1,3,0,5,10,16,6,4,7,8,4,3,11,0,5,2,2,11,13,6,8,0,0,5,11,4,2,11,4,52,12,6,7,21,12,11,1,8,5,5,0,12,2,14,15,3,11,7,9,16,0,11,17,1,10,28,5,19,21,4,15,1,32,8,24,35,54,4,4,27,7,7,18,1,6,9,9,7,8,4,15,1,21,9,4,60,22,3,10,28,10,66,26,22,46,5,27,5,0,4,13,49,11,36,32,17,0,41,96,10,8,37,23,35,35,25,53,10,41,15,16,11,34,30,42}

{576,1196,1377,1436,1881,2110,3186,4140,4727,5438,5738,8173,8604,9466,9703,9714,10108,10562,11470,11572,13093,13380,13526,13734,14150,15700,15858,16128,16313,16349,16678,18473,19758,20167,20537,21093,21412,21726,21737,22029,22122,22343,22991,23226,23283,24047,24578,25279,25342,26867,27359,27421,27547,27902,30032,30345,30437,31871,31991,32013,32303,32371,34329,34419,34572,35178,35360,35783,35816,36462,37111,37117,37319,37862,38704,39236,39762,40499,41037,41775,43193,43821,43921,44043,45001,45057,45233,45708,46938,48029,48302,48445,48447,48992,49571,49648,50298,50559,51609,53723,53728,54697,55452,55604,56395,56809,59381,59798,60108,60780,60878,61102,61379,61699,61896,62924,63621,63651,64476,65071,65634,66043,66947,67463,69481,69639,69704,70006,70172,70804,71935,73382,73464,73980,74096,74706,74979,75056,75148,75908,76081,76196,78488,79441,81001,81354,82180,83370,83621,83810,83922,84990,85232,85758,87644,88294,88864,88999,89380,89548,90584,92149,92527,93308,94514,94873,95594,95713,95850,96540,96789,96881,96885,96965,98194,98452,99272,99841}

Returns: 588873
{0,1,2,3,4,5,6,6,7,9,10,11,11,9,13,15,16,17,14,16,18,21,16,23,24,23,25,27,28,27,28,31,26,28,32,34,35,35,36,37,36,35,41,40,35,42,42,44,47,47,49,45,52,32,52,53,50,57,54,50,38,55,50,62,53,60,62,66,68,68,67,59,67,69,63,74,76,69,75,67,68,55,82,80,73,77,84,74,69,89,86,89,83,86,76,89,91,82,69,88,97,99,88,85,103,64,104,106,92,90,91,111,110,108,113,108,95,103,116,104,115,102,114,116,103,106,99,110,117,120,130,107,113,127,112,133,125,137,101,129,124,110,141,127,132,138,122,121,141,92,130,130,152,150,149,139,153,137,145,143,125,141,159,154,145,144,161,167,160,169,167,162,169,165,141,156,135,148,165,178,171,170,119,172,183,178,174,186,141,185,184,172,150,178,183,192,173,177,196,150,167,200,176,190,194,192,165,194,194,182,208,182,194,198,147,200,182,216,186,207,218,183,214,126,223,199,222,215,211,214,207,227,217,227,231,230,221,218,213,216,179,227,182,225,223,211,209,234,239,247,172,247,222,200,254,245,229,228,236,216,260,217,250,231,216,252,209,267,262,201,239,267,261,251,254,271,185,254,219,253,266,278,271,183,271,257,285,247,251,232,277,280,244,293,244,244,282,285,292,240,256,297,289,289,302,304,281,226,296,204,272,259,301,297,286,208,316,193,288,284,290,248,306,257,305,295,316,311,325,277,228,238,327,332,292,321,211,300,335,298,332,331,331,323,342,304,312,269,324,323,349,318,336,349,320,353,352,356,318,351,335,336,309,324,315,272,331,339,351,341,342,360,301,358,322,332,297,354,273,317,378,331,367,351,343,364,352,356,169,352,354,324,388,356,376,390,394,392,340,358,364,373,394,390,382,356,396,270,390,359,341,364,408,399,402,349,383,372,246,409,352,382,413,325,398,366,238,355,377,367,416,271,422,412,326,416,433,383,390,417,385,401,399,437,391,430,441,444,405,379,346,402,406,386,427,424,430,379,458,321,368,452,433,452,359,440,454,450,461,443,373,458,417,430,414,410,435,476,471,449,461,394,480,478,433,462,454,416,471,484,472,481,465,378,429,443,401,388,490,462,454,467,459,433,413,295,432,361,407,469,383,511,457,472,409,458,501,453,444,508,286,502,395,507,491,492,520,523,521,470,477,498,527,495,520,487,408,537,530,506,527,440,542,515,486,298,532,514,424,530,549,458,549,541,520,464,521,545,488,436,509,531,448,524,538,531,555,554,408,553,320,550,543,539,538,502,333,562,501,577,577,505,582,568,578,543,527,587,523,544,564,567,487,529,496,554,536,520,585,442,592,591,602,599,600,588,566,601,578,435,568,594,504,610,585,603,615,560,613,567,518,558,592,530,544,515,598,529,572,559,568,533,612,604,559,546,617,364,618,542,599,625,636,600,635,592,641,550,576,587,496,574,581,322,596,647,620,635,463,569,646,619,591,655,616,656,592,662,597,639,627,609,649,493,653,637,619,530,594,599,547,650,595,627,612,462,681,634,601,627,652,602,650,663,635,689,694,492,657,653,685,430,646,692,688,697,580,658,677,692,575,586,579,694,686,697,711,688,588,670,693,564,488,589,666,692,657,662,706,686,687,723,662,564,563,714,701,697,679,553,674,727,711,686,702,683,746,709,709,667,725,743,721,708,702,740,717,583,682,718,731,724,648,753,692,701,648,686,761,498,716,655,772,717,695,768,744,733,621,715,673,759,677,641,632,612,777,754,725,705,728,663,761,756,697,762,745,781,694,795,732,471,739,681,593,761,660,617,719,791,788,771,723,804,803,811,583,662,712,770,658,748,775,631,746,698,789,740,820,770,735,734,808,805,720,676,739,757,799,769,761,391,823,793,736,843,807,664,763,799,752,653,823,587,725}

{256,259,395,420,619,644,692,809,858,882,1219,1365,1390,1390,1537,1709,1835,2148,2351,2365,2989,3000,3090,3178,3250,3637,3656,3664,3899,3956,4236,4248,4294,4364,4485,4580,4600,4782,5016,5083,5179,5571,5762,5866,5894,5923,6072,6202,6280,6416,6418,6534,6621,6900,6978,7035,7306,7490,7647,7707,7849,7933,8186,8206,8233,8364,8639,8912,9114,9218,9359,9519,9641,9885,10145,10149,10357,10483,10860,10914,10927,11330,11455,11493,11524,11548,11562,11621,11683,12070,12330,12464,12517,12628,13043,13112,13139,13268,13398,13427,13465,13614,13706,14064,14223,14425,14553,14808,14888,14918,14918,14957,15189,15368,15420,15471,15555,15654,16106,16140,16311,16326,16346,16451,16484,16533,16656,16812,16946,17116,17460,17519,17637,17721,17805,17909,17936,17958,17991,18082,18133,18288,18535,18648,18721,18879,18961,18996,19249,19346,19598,19922,20232,20643,20653,20753,20757,21087,21099,21305,21400,21554,21619,21843,21981,22265,22269,22349,22475,22588,22596,22735,23133,23147,23209,23676,23677,23705,23721,23848,23856,23963,24116,24162,24186,24446,24460,24581,24718,24854,24887,24916,24934,24964,25078,25113,25160,25233,25355,25375,25450,25525,25608,25706,25751,26006,26149,26287,26527,26904,26963,27027,27055,27149,27196,27214,27338,27360,27458,27524,27780,27793,27842,27848,27940,28112,28208,28251,28280,28383,28455,28466,28526,28606,28963,29127,29257,29410,29531,29550,29732,29817,29825,29868,29924,30068,30173,30310,30510,30512,30565,30576,30706,30743,30871,30965,31094,31138,31166,31188,31652,31982,31996,32197,32205,32289,32340,32369,32474,32482,32486,32562,32713,32720,32890,32942,33016,33073,33119,33639,33842,34091,34179,34288,34326,34356,34560,34938,34977,35003,35005,35191,35231,35239,35404,35507,35590,35619,35643,35875,35946,35992,35993,36042,36321,36385,36406,36460,36646,36714,36731,36790,36837,36927,37008,37258,37482,37528,37727,37843,38141,38252,38573,38672,38685,39096,39434,39556,39582,39616,39717,39791,39899,39921,39957,39993,39997,40044,40126,40266,40339,40402,40500,40718,40742,40940,40969,40975,41302,41431,41900,41926,41943,41977,42171,42493,42568,42637,42840,42968,42970,42994,43107,43152,43257,43268,43375,43563,43768,43770,43812,44015,44084,44434,44589,44648,44658,44955,45028,45065,45165,45206,45297,45461,45630,45910,45926,45961,45962,46087,46284,46294,46472,46805,46844,46889,47045,47068,47120,47123,47363,47612,47643,47661,47682,47714,47863,47882,47932,48036,48093,48095,48156,48310,48322,48329,48330,48873,48996,49084,49343,49384,49498,49605,49712,49724,49739,49761,49955,50146,50212,50624,50898,51100,51168,51193,51294,51308,51497,51870,51910,51915,51966,52199,52391,52441,52514,52542,52688,52777,52991,53102,53103,53150,53550,53704,53747,53772,53874,53906,53923,53942,53985,53992,54070,54108,54309,54605,54702,54826,54831,54959,54975,55200,55540,55551,55719,55784,55883,55946,56024,56039,56060,56177,56293,56340,56461,56502,56735,56742,56847,56908,56952,56980,57032,57110,57406,57459,57758,57888,57908,57948,58053,58092,58219,58232,58275,58312,58638,58851,59058,59229,59293,59411,59510,59552,59694,59726,60364,60425,60522,60598,60705,60885,61000,61123,61262,61445,61459,61599,61840,62007,62178,62278,62291,62456,62585,62626,62738,62754,62791,62812,63166,63247,63347,63558,63772,63953,63968,63983,64128,64252,64535,64695,64783,65027,65078,65219,65254,65339,65348,65404,65426,65446,65521,65831,65872,65872,66015,66198,66287,66324,66339,66616,66703,66802,67389,67640,67721,67809,68103,68267,68538,68576,68680,68786,68828,68916,69076,69085,69403,69469,69504,69554,69630,69848,69941,69980,70622,70705,70729,70944,70954,71028,71175,71288,71294,71320,71432,71436,71453,71622,71722,71912,71975,72016,72037,72080,72176,72549,72550,72571,72606,72624,72799,72816,72927,73004,73484,73553,74049,74293,74343,74396,74503,74524,74595,74813,74943,75003,75178,75250,75292,75401,75621,75692,75996,76148,76259,76372,76444,76526,76559,76707,77025,77051,77371,77453,77520,77534,77608,77905,77975,78038,78248,78593,78685,78853,78892,78893,78936,78987,79257,79309,79338,79341,79422,79691,79729,79999,80049,80088,80093,80449,80478,80485,80519,80967,80995,81050,81136,81448,81622,81963,82130,82266,82277,82329,82470,82486,82547,82566,82780,82866,82894,83057,83094,83464,83508,83593,83680,83924,84035,84055,84157,84277,84828,84977,85003,85045,85087,85514,85514,85563,85711,86140,86184,86197,86356,86433,86511,86583,86599,86727,86733,86772,86778,86803,86850,86912,86931,86974,87195,87449,87517,87661,87912,87916,88044,88094,88156,88156,88206,88242,88340,88364,88558,88572,88849,88865,88933,88991,89024,89091,89495,89497,89562,89584,89836,89876,89952,89957,90273,90313,90638,90701,90767,90859,91154,91181,91208,91654,91743,91827,92098,92147,92335,92688,92722,92772,92830,93045,93474,93573,93636,93709,93727,93837,94143,94197,94214,94249,94270,94307,94602,94619,94704,94881,95031,95077,95174,95279,95436,95554,95755,95916,95922,96159,96375,96442,96451,96473,96587,96686,96725,96865,96899,97130,97344,97470,97667,97738,97746,97902,97939,98093,98156,98234,98359,98409,98553,98792,98807,98817,98821,98934,98975,99211,99339,99378,99490,99535,99550,99772,99875,99965}

Returns: 501764
{0,1,2,3,4,5,6,7,7,9,10,11,12,12,12,15,16,16,17,19,18,20,21,22,18,23,22,25,22,25,28,27,30,20,34,35,35,26,32,37,33,39,33,39,40,42,39,43,44,32,47,49,51,51,53,51,55,57,45,59,46,61,58,61,47,61,59,61,52,61,68,63,38,73,71,73,67,77,54,71,71,75,69,75,77,84,85,87,56,85,76,80,85,93,63,93,93,94,85,86,100,87,101,90,80,92,85,88,98,101,96,110,98,98,113,103,107,107,91,107,107,99,121,102,108,111,111,117,101,118,122,125,127,129,111,134,132,136,121,132,140,141,142,137,118,140,130,102,85,114,146,134,137,123,119,123,149,143,125,147,160,160,125,130,156,165,161,153,129,165,155,126,171,160,156,160,175,177,174,135,154,177,172,174,173,185,165,160,184,130,174,175,177,167,165,178,184,189,188,123,193,201,140,203,192,193,180,196,199,164,186,210,181,200,157,207,202,206,204,215,191,186,205,216,205,212,224,161,189,224,199,153,219,223,216,213,197,205,232,221,187,233,204,242,163,224,225,247,241,236,216,224,227,200,236,172,238,251,237,256,176,231,253,177,221,238,242,225,245,214,239,251,201,232,270,162,267,235,264,251,258,205,246,269,268,242,273,241,228,207,189,255,254,290,284,277,269,290,251,230,298,252,223,256,229,305,275,288,269,291,214,207,288,307,314,297,288,200,295,295,311,221,295,266,324,306,302,310,319,274,319,262,323,304,260,332,291,275,306,322,337,308,232,323,328,219,269,293,321,288,295,317,262,337,312,286,296,342,329,300,294,313,359,339,286,272,364,350,351,333,338,356,307,352,361,375,376,371,340,358,375,381,315,383,350,376,321,376,270,325,365,322,375,335,392,367,324,332,291,379,391,372,390,369,383,376,379,367,306,405,307,278,389,339,334,395,348,346,383,386,411,177,254,348,412,417,378,315,368,344,429,390,428,409,415,428,436,421,417,390,423,396,395,349,441,403,402,410,447,360,419,403,421,448,396,388,416,391,354,324,415,457,355,445,317,435,466,459,453,324,385,368,387,377,465,469,426,461,427,469,420,446,437,462,423,483,420,478,460,405,487,457,426,484,349,462,446,451,336,473,462,489,461,494,444,466,461,469,456,356,493,423,419,471,464,488,465,338,490,469,507,352,506,498,491,515,514,513,504,482,515,441,511,527,378,473,349,534,465,409,419,374,451,469,502,410,418,503,493,423,547,421,474,509,509,554,533,465,550,536,541,466,482,504,513,441,535,539,559,566,556,537,548,520,562,522,507,550,521,575,379,459,520,557,521,550,505,517,572,513,447,463,566,586,556,548,590,570,526,597,558,598,595,568,604,526,592,583,453,603,578,491,498,584,613,614,574,450,590,615,546,604,586,587,590,577,476,607,628,603,584,516,613,593,626,627,540,624,490,619,629,593,534,575,634,587,634,620,546,630,573,641,620,628,650,629,519,641,501,576,658,585,644,605,630,457,621,600,639,668,670,618,446,656,561,599,658,627,561,665,567,580,605,681,609,663,535,571,582,616,633,624,489,647,596,643,607,693,640,624,697,606,582,553,701,597,685,680,693,666,510,646,562,709,577,584,679,605,700,648,709,710,584,628,693,680,687,691,661,571,611,682,564,699,723,701,533,494,672,554,731,737,530,741,691,742,714,677,708,739,750,738,737,637,724,584,483,575,740,644,730,749,670,637,762,732,538,741,611,632,734,698,701,528,767,746,718,689,733,745,544,734,712,719,611,682,694,771,639,706,751,626,789,721,778,686,757,770,708,652,709,784,801,738,684,740,513,672,731,706,804,696,748,767,785,752}

{1,69,138,329,392,1189,1211,1330,1629,1739,1740,1753,1984,2029,2095,2122,2552,2795,2819,2976,2999,3154,3275,3503,3559,3607,3667,3761,3827,3874,3991,4056,4125,4262,4999,5109,5322,5407,5415,5521,5569,5607,5617,5659,5697,5859,6109,6146,6459,6488,6550,6558,6682,6752,6804,6839,6930,6936,6963,6995,7116,7174,7270,7365,7403,7470,7477,7535,7723,7904,7951,7957,8015,8036,8064,8078,8086,8095,8149,8323,8391,8430,8705,8834,8969,9008,9158,9295,9355,9587,9735,9785,9847,9906,9954,10007,10064,10098,10437,10587,11283,11381,11489,11492,11518,11650,11848,11921,11930,12100,12202,12328,12619,12734,12873,12975,13258,13277,13335,13355,13365,13397,13474,13572,13575,13636,13751,13884,14034,14211,14228,14509,14515,14687,14902,15102,15157,15179,15272,15348,15393,15477,15769,15853,15980,16163,16181,16194,16199,16537,16563,16643,16647,16735,16767,17147,17345,17443,18079,18185,18296,18319,18438,18462,18499,18572,18672,18710,18820,18982,19233,19266,19376,19423,19452,19673,19800,19816,19924,20145,20164,20242,20368,20483,20540,20725,21063,21175,21467,21863,21985,22020,22203,22369,22494,22565,22908,22911,22954,23251,23508,23813,23813,23894,23905,24132,24528,24564,24576,24686,24699,24772,24839,25091,25455,25509,25546,25984,26266,26605,26835,26898,26977,27019,27037,27056,27246,27299,27320,27571,27687,27773,27930,28232,28843,28960,29261,29577,29600,29616,29867,30154,30203,30268,30798,30967,30970,31061,31147,31150,31421,31468,31493,31605,31636,31676,31695,31712,31829,32005,32180,32202,32362,32433,32497,32508,32892,33175,33178,33227,33434,33566,33685,33730,33742,33829,33879,34009,34050,34092,34154,34175,34323,34411,34723,34790,34814,34818,35259,35264,35369,35610,35836,35916,35919,35990,36081,36146,36357,36363,36415,36434,36438,36724,36740,36752,36851,37038,37040,37475,37479,37482,37775,37814,37932,37948,37979,38047,38365,38762,39027,39083,39101,39169,39198,39262,39427,39551,39591,39593,39964,39986,40084,40133,40175,40347,40690,40789,40902,40923,41095,41100,41181,41212,41393,41738,41801,41950,42049,42152,42510,42548,42886,43054,43209,43278,43382,43542,43557,43603,44061,44164,44217,44309,44317,44336,44394,44447,44480,44502,44627,44688,44802,44882,44984,45094,45266,45444,45663,45807,45934,45995,46031,46217,46531,46731,47003,47059,47284,47360,47449,47449,47779,47985,48056,48059,48361,48441,48459,48807,48811,48948,49093,49099,49307,49310,49348,49587,49622,50233,50497,50898,50918,50925,51041,51296,51307,51466,51523,51898,51904,52040,52286,52340,52523,52538,52592,53061,53243,53779,53892,53986,53991,54055,54268,54486,54536,54626,54639,54646,54704,55127,55166,55284,55299,55316,55386,55442,55566,55589,55626,55680,55687,55735,56374,56382,56397,56632,56838,56967,57132,57237,57289,57322,57346,57458,57502,57574,57790,57814,57860,57897,57919,58038,58070,58193,58234,58431,58510,58521,58963,59069,59351,59470,59477,59504,59727,59805,59900,60105,60244,60266,60351,60410,60483,60511,60535,60636,60663,60805,60808,60823,60931,61397,61407,61443,61465,61509,61619,61672,61731,61849,61875,62292,62327,62430,62485,62911,62927,62992,63002,63074,63145,63167,63186,63387,63532,63608,63676,63720,63968,64070,64211,64215,64224,64387,64441,64462,64497,64535,64554,64606,64694,64899,65205,65297,65513,65678,65880,66053,66056,66062,66082,66417,66481,66505,66534,66600,66604,67101,67164,67241,67570,67744,67913,68147,68710,68924,68988,69280,69403,69459,69770,70223,70252,70495,70512,70668,70693,70833,70886,70892,71479,71638,71663,71822,72153,72616,72963,73059,73253,73412,73710,73967,74259,74400,74517,74540,74694,74706,74870,74904,74913,75047,75220,75328,75381,75415,75478,75939,76447,76575,76582,76637,76712,76792,76829,76939,77385,77416,77481,77582,77883,78038,78103,78167,78255,78271,78304,78454,78513,78858,79412,79597,79642,79711,79722,79821,79833,79984,80063,80194,80270,80277,80419,80659,81179,81221,81725,81742,82072,82088,82295,82350,82468,82538,82634,82638,82797,83020,83156,83452,83596,83799,83902,84110,84168,84535,84558,84593,84604,84633,84694,84790,84803,84833,84890,85083,85104,85291,85311,85373,85514,85541,85551,85567,85613,85622,85780,85873,85884,85983,86242,86301,86405,86438,86609,86674,86713,86764,86821,87010,87171,87333,87450,87459,87523,87527,87550,87630,87881,88060,88126,88318,88387,88445,88665,88740,88992,89009,89021,89032,89076,89121,89199,89361,89426,89502,89520,89933,90056,90088,90195,90337,90392,90429,90485,90496,90593,90606,90616,90620,90693,90853,90925,91067,91102,91155,91436,91665,91699,91881,91932,92090,92511,92579,92581,92653,92780,92828,92856,93013,93062,93113,93131,93195,93297,93561,93620,93662,93800,94180,94309,94314,94612,94781,94791,94910,94971,95005,95268,95425,95473,95844,95873,95931,96103,96193,96339,96451,96481,96534,96542,96576,96611,96875,96878,97191,97214,97322,97649,97832,98046,98200,98268,98431,98677,98843,98891,98895,99011,99030,99086,99427,99537,99861,99963}

Returns: 497600
{0,0,1,1,0,0,0,1,1,1,0,0,2,1,2,0,0,0,0,0,5,3,1,0,0,0,7,6,0,0,0,0,0,1,2,6,3,8,0,7,0,22,14,4,3,3,16,0,0,0,3,7,0,1,10,0,0,4,2,3,1,0,3,4,0,0,18,19,4,22,7,16,1,0,3,0,10,11,0,6,3,10,4,14,9,16,11,0,6,4,2,0,1,1,5,6,1,31,6,16,21,11,8,30,17,0,4,1,34,6,26,18,18,0,41,1,16,23,4,25,10,0,17,22,2,6,3,9,27,14,15,6,0,4,6,13,8,0,10,39,13,7,20,1,3,13,3,28,17,7,23,27,37,19,2,0,28,18,0,7,4,4,11,22,65,14,21,22,3,9,30,25,26,44,71,10,15,0,21,17,38,5,10,5,9,10,3,31,13,13,25,47,32,12,21,4,1,12,8,5,16,53,2,36,5,16,6,23,28,9,19,12,26,1,4,6,109,0,5,46,70,30,4,30,26,73,21,17,5,12,38,5,33,19,62,9,5,2,12,9,19,1,47,15,68,79,12,17,12,43,61,14,15,14,6,22,12,0,46,13,7,12,29,16,8,17,20,72,3,40,28,17,53,36,20,15,13,22,8,69,93,36,36,129,25,9,2,1,21,33,5,35,1,68,52,118,2,36,25,1,48,10,60,3,25,46,15,12,75,22,17,24,131,64,14,9,17,9,23,52,31,10,87,12,129,1,21,64,36,14,84,13,10,15,3,10,96,16,40,15,34,10,15,46,54,45,59,66,66,81,31,10,102,74,80,35,26,4,29,39,42,51,69,13,96,56,22,22,41,11,131,19,29,44,17,4,42,17,128,17,61,2,2,7,32,0,28,104,1,83,101,14,17,2,10,12,30,27,17,12,123,20,51,42,22,37,112,35,15,16,17,65,19,54,217,3,45,12,20,42,145,21,71,27,86,73,15,63,17,81,76,72,46,42,47,32,38,36,54,44,19,19,66,34,90,10,7,3,15,18,27,19,9,68,46,59,8,39,36,71,1,32,86,26,71,6,55,128,19,9,45,38,153,34,31,5,112,107,20,6,58,2,48,40,20,95,26,82,1,69,6,74,39,4,64,69,2,106,15,22,8,184,101,27,57,2,66,71,71,74,0,118,68,23,10,49,9,55,0,62,160,122,14,152,69,17,198,112,127,25,1,59,88,129,89,33,42,39,167,40,40,73,11,177,21,38,4,24,61,185,113,2,6,60,124,150,158,33,34,195,56,197,13,20,92,57,0,135,13,6,61,15,11,2,56,9,67,30,136,39,26,19,1,107,9,8,54,241,6,17,70,18,7,211,234,10,13,48,25,15,94,33,124,13,172,61,8,29,39,80,1,163,56,138,65,49,110,103,110,60,27,2,46,12,16,7,66,10,62,19,112,217,34,18,87,100,70,207,59,6,165,26,15,102,197,51,67,32,77,81,45,232,203,13,208,62,66,28,65,5,149,79,35,39,98,122,57,4,11,53,112,55,34,23,160,49,29,131,49,36,190,28,0,3,60,114,280,27,98,61,80,91,46,44,9,38,14,81,154,238,45,108,54,169,114,127,20,116,217,39,40,73,123,30,76,32,11,2,24,49,275,100,79,78,109,16,4,201,89,28,43,68,90,269,13,47,42,0,5,202,32,273,82,74,36,140,25,77,121,15,4,56,93,56,71,82,0,45,133,75,27,256,46,145,208,35,79,58,65,61,31,131,86,38,66,218,25,53,194,191,66,32,120,26,0,46,180,52,18,151,30,192,23,10,5,134,24,146,2,10,152,75,191,82,1,20,72,43,83,33,197,27,96,215,43,82,1,101,326,40,119,143,130,398,173,8,81,76,153,141,24,58,370,19,65,1,97,62,49,71,211,12,6,180,34,103,34,250,10,3,275,80,99,28,44,59,122,180,175,71,109,19,100,216,320,17,430,205,74,155,8,35,7,149,91,263,120,36,148,210,86,56,27,64,112}

{4,32,64,93,197,224,312,352,434,477,651,1034,1118,1172,1212,1734,1787,1983,2018,2134,2374,2489,2505,2700,2717,2927,3335,3406,3409,3643,3666,3712,3748,3805,4238,4371,4485,4506,4541,4673,5165,5214,5240,5363,5583,5769,5886,5977,6240,6244,6340,6483,6704,6834,6893,6924,6927,6946,6971,7045,7124,7168,7387,7544,7836,8000,8596,8599,8744,8769,8884,8945,9034,9118,9255,9350,9523,9530,9568,9734,9737,9811,9969,9970,10125,10264,10278,10379,10910,11039,11160,11364,11426,11455,11456,11536,11643,11648,11648,11694,11725,11744,11831,11941,11999,12038,12060,12120,12211,12218,12257,12360,12399,12530,12601,12807,12810,12810,12885,13396,13426,13470,13632,13962,13996,14035,14295,14474,14782,14858,14903,14973,15127,15209,15260,15377,15400,15718,15822,15855,15936,16139,16148,16256,16386,16513,16654,16760,16763,17207,17250,17292,17433,17514,17515,17597,17862,18222,18366,18411,18584,18626,18657,18707,18715,18847,19041,19254,19520,19672,19690,19697,19728,19984,20005,20006,20254,20341,20408,20594,20664,20934,20959,21109,21290,21376,21500,21607,21879,21993,22117,22126,22206,22260,22293,22426,22434,22494,22530,22726,22747,22803,22858,22915,23399,23644,24044,24725,24745,24775,24824,24876,24946,25004,25244,25436,25526,25545,25616,25671,25692,25811,25938,26183,26364,26416,26466,26530,26588,26664,27075,27256,27390,27546,27880,28130,28144,28279,28451,28599,28790,28875,28960,29095,29116,29252,29340,29452,29491,29506,29586,29932,30136,30190,30288,30424,30653,30665,30666,30685,30697,30752,30906,31125,31169,31373,31412,31630,31659,31685,31756,31941,32261,32307,32323,32532,32611,32705,33069,33221,33261,33303,33444,33532,33544,33684,33710,33763,33766,33816,33918,34051,34057,34083,34309,34543,34716,34952,34975,34993,35144,35206,35217,35226,35260,35478,35587,35612,35750,35852,35939,36128,36352,36418,36591,36605,36655,36976,37003,37334,37361,37444,37515,37539,37594,37883,37954,38162,38516,38605,38772,38823,38860,38976,39056,39095,39149,39387,39408,39419,39460,39628,39807,39928,40036,40060,40174,40200,40200,40203,40288,40425,40594,40604,40619,40865,40943,41490,41758,41796,42002,42130,42143,42269,42324,42324,42376,42481,42598,42865,42876,42883,42906,42942,43206,43292,43462,43573,44128,44232,44478,44487,44573,44614,44839,45015,45088,45136,45461,45557,45693,45738,46012,46064,46078,46698,47107,47188,47308,47401,47552,48219,48232,48585,48688,48797,49020,49088,49126,49161,49170,49256,49317,49429,49457,49493,49555,49575,49590,49598,49711,50067,50097,50128,50160,50319,50409,50420,50565,51002,51052,51132,51144,51168,51201,51291,51340,51439,51573,51762,51790,51852,51860,51933,51934,52080,52217,52307,52519,52541,52552,52637,52685,52694,52856,52863,52905,52910,52912,52969,52970,53123,53174,53233,53313,53362,53471,53484,53632,53741,53765,53816,53930,54041,54178,54262,54268,54295,54342,54457,54609,54610,54636,54651,54681,54952,55102,55103,55253,55405,55432,55500,55576,55740,55819,56038,56106,56221,56341,56450,56558,56563,56606,56608,56913,56985,57051,57405,57511,57818,57845,58025,58025,58039,58225,58444,58500,58552,58567,58698,58771,58839,58841,58918,58934,58940,58975,59087,59129,59194,59255,59266,59432,59508,59560,59603,59670,59730,60044,60102,60234,60450,60494,60572,60778,60853,60950,60975,60996,61104,61263,61336,61379,61380,61603,61623,62034,62102,62161,62660,62674,62759,63099,63120,63201,63373,63379,63384,63427,63469,63484,63637,63731,63785,63799,63976,64028,64278,64339,64589,64656,64812,64852,64854,64886,64983,64983,65013,65196,65355,65417,65602,65609,65818,65828,65887,65938,66145,66145,66224,66473,66533,66677,66748,66818,66832,67289,67348,67412,67627,67862,68321,68609,68625,68866,68938,68945,69052,69239,69266,69353,69385,69618,69967,70077,70146,70195,70283,70310,70325,70469,70478,70565,70620,70772,70972,70990,71312,71517,71552,71641,71720,71825,72403,72537,72669,73160,73309,73736,73839,73877,73955,74160,74218,74528,74546,74626,74791,74953,74985,75025,75160,75251,75454,75487,75711,75975,75977,76036,76050,76061,76102,76203,76229,76232,76340,76411,76530,76603,76618,76827,76965,77028,77040,77060,77224,77244,77309,77526,77565,77583,77930,77970,77987,77998,78087,78094,78239,78384,78479,78624,78748,78923,78925,78992,79080,79092,79127,79198,79459,79592,79624,79822,79855,80106,80123,80173,80180,80298,80304,80427,80610,81405,81682,81965,82041,82046,82066,82169,82369,82407,82642,82760,83012,83042,83052,83077,83081,83336,83834,83854,83980,84063,84303,84315,84513,84536,84672,84719,85149,85243,85322,85471,85628,86126,86434,86467,86716,86874,87016,87274,87304,87421,87513,87526,87697,87953,88030,88046,88179,88244,88346,88426,88475,88503,88503,88527,88538,88711,89024,89233,89338,89478,89580,89658,89701,90008,90026,90131,90387,90488,90495,90592,90647,90898,90977,91119,91143,91266,91524,91580,91675,91783,91796,91998,92015,92026,92071,92109,92144,92614,92679,92680,92955,92966,93132,93179,93265,93399,93550,93747,94027,94149,94162,94381,94546,94581,94609,94673,94714,94716,94969,95099,95207,95263,95298,95317,95345,95469,95602,95708,95874,95955,96193,96206,96428,96604,96619,96687,96865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Returns: 953947
{0,0,0,1,1,0,1,3,1,0,0,0,0,0,2,2,2,2,5,3,7,2,0,3,3,8,0,3,1,3,0,13,3,2,11,2,1,0,0,1,3,14,1,7,3,6,6,18,15,3,5,5,2,10,10,3,16,4,7,0,9,4,12,11,1,8,10,17,26,13,2,10,7,9,13,11,3,13,34,23,15,28,22,15,13,1,9,43,1,18,31,37,23,9,13,28,1,3,2,13,1,0,19,22,25,5,18,1,9,25,21,7,19,2,6,2,3,3,29,0,13,5,18,22,23,24,1,2,13,7,34,26,7,38,43,0,13,3,19,17,23,2,4,35,17,12,6,29,1,9,2,7,1,3,41,25,54,26,66,1,30,66,19,9,82,26,2,0,3,23,42,76,5,12,10,28,27,13,4,2,12,58,18,69,27,37,13,7,33,25,65,65,38,108,65,31,38,14,31,42,57,15,68,96,19,11,38,2,63,16,42,15,41,57,5,15,69,14,29,20,34,85,13,13,6,3,77,5,50,108,39,54,54,107,8,26,26,28,27,54,0,7,11,0,50,22,0,18,102,8,95,17,45,64,23,25,48,64,2,1,84,0,115,29,32,27,44,43,75,68,73,43,21,25,21,19,81,2,6,102,14,98,56,116,25,27,41,23,37,2,16,23,79,12,14,23,44,27,50,67,52,18,20,36,2,33,14,0,3,1,51,19,12,51,20,24,93,53,119,29,50,8,53,52,9,25,0,97,9,70,75,39,44,15,3,36,133,103,80,172,26,7,111,58,33,6,108,16,7,29,4,59,64,92,10,31,36,189,52,101,70,45,68,15,88,48,1,46,64,14,44,119,20,8,24,60,69,27,24,3,84,111,47,83,78,16,23,70,65,17,64,49,41,58,45,23,48,8,23,60,72,158,137,11,99,86,133,169,63,37,23,9,25,51,97,140,161,9,150,44,84,84,235,22,133,23,23,9,22,74,31,21,43,147,49,16,14,100,37,3,13,24,210}

{518,598,604,1151,1205,1336,1630,1700,2434,2451,2591,2763,2854,3031,3160,3621,3764,3797,3968,4623,4676,5384,5478,5599,5974,6123,6414,6418,6530,6796,6964,6995,7542,7695,7907,7972,8009,8320,8510,8899,8911,9225,9373,9625,9748,10006,10058,10474,10480,10821,10903,11627,11714,11865,11941,12061,12298,12392,12472,12794,13556,14079,14379,14632,14872,14878,15134,15203,15498,16050,16587,17127,17507,17761,17944,18417,18777,18881,18983,19002,19818,19977,20002,20041,20095,20106,20154,20315,20816,21034,21123,21289,21668,22108,22396,22571,22587,22833,23386,23491,23755,24126,24155,24167,24893,24917,25031,25107,25246,25458,25511,25653,26330,26498,26661,27632,27642,27782,28078,28172,28731,28950,29142,29150,29489,30343,30566,31086,31219,31363,31504,31603,31823,31910,31920,31957,31962,31969,32343,32609,32619,33339,33459,33891,33983,34191,34283,34506,34709,34923,35016,35020,35091,35622,35705,36012,36613,36984,37255,37430,38404,38518,38762,38918,39011,39431,39677,39866,40046,40711,40730,41015,41293,41579,41688,42127,42135,42136,42511,42636,42918,43161,43315,43489,43859,44182,44408,44429,44466,44786,44815,44883,45271,45401,45644,45859,46186,46321,46392,46397,46540,46650,46860,46866,46898,46914,47106,47177,47673,47908,47912,48040,48267,48585,49388,49644,49768,49849,50306,50797,50966,51351,51631,51740,51868,52046,52555,52649,53057,53101,53833,53871,54391,54478,54653,54982,55338,55497,55762,55912,56230,56323,56540,56660,56662,56928,57162,57310,57365,57647,57692,57834,58058,58076,58535,58603,59170,59763,60451,60464,60582,60928,61104,61175,61189,61193,61276,61472,61473,61562,61681,62037,62142,62232,62409,63073,63298,63705,64144,64261,64686,65229,65420,65480,65612,65640,65889,66405,67094,67156,67297,67391,67454,68006,68090,68618,68648,68857,69161,69166,69177,69357,70052,70162,70465,70931,70995,71009,71085,71113,71661,71692,71736,71860,71971,72336,72339,72367,72619,72820,72952,72973,73096,73130,73221,73319,73385,73610,74139,74478,74861,74923,75191,75389,75412,75709,75847,75886,75943,76585,76609,76656,76829,77036,77171,77173,77463,77465,77536,77844,77861,78214,78323,78441,78510,78629,79628,79707,80024,80047,80426,80499,80782,80794,81063,81075,81579,81678,81714,81777,81785,81905,82156,82348,82457,82652,82788,82863,82867,82903,82970,84107,84377,84727,84746,84772,84843,85030,85430,85431,85525,85536,86304,86697,86832,86925,86936,87134,87289,88042,88246,88549,89120,89315,89557,89587,90009,90028,90059,90374,90400,90630,90644,90683,90809,91147,91426,91672,91750,92368,92635,92906,93009,94202,94206,94440,94716,95446,95717,95796,95870,96176,96206,96712,96717,97419,97422,97518,97630,97706,98860,99521,99978,99995}

Returns: 954536
{0,0,0,0,1,0,0,1,3,1,0,3,5,3,3,1,8,0,5,6,8,7,6,3,1,4,14,19,3,8,0,1,5,3,23,6,25,14,5,4,7,4,12,0,3,3,9,14,22,4,9,8,3,8,5,23,20,44,40,49,14,8,2,18,16,14,17,7,5,44,30,3,58,40,21,13,35,6,8,25,42,0,2,40,36,3,2,37,21,3,26,45,17,9,12,45,49,16,22,1,38,53,65,46,7,75,2,14,6,27,42,18,4,50,23,25,14,31,42,16,30,5,52,35,20,8,28,32,58,1,28,6,25,29,27,55,32,3,80,26,66,54,77,42,79,70,100,100,1,2,54,65,58,31,36,16,11,25,31,6,21,3,80,39,54,13,102,60,12,7,30,6,88,22,23,75,42,63,50,12,47,104,27,24,54,32,50,40,48,21,117,25,122,35,34,107,47,12,36,72,14,107,34,72,6,29,105,81,11,25,37,56,46,18,69,21,44,28,112,34,27,80,97,34,17,60,18,47,89,50,6,36,60,0,7,46,11,90,11,47,30,83,40,59,111,114,37,45,32,119,74,83,37,32,20,85,34,6,14,67,101,200,110,42,105,12,2,61,17,22,50,38,67,88,7,58,3,87,84,103,99,64,47,92,55,23,115,140,70,82,36,4,186,85,40,108,18,14,203,55,42,106,81,2,51,109,16,107,64,189,49,153,66,19,32,53,12,129,4,33,162,161,131,48,241,32,11,169,0,97,9,141,17,62,170,23,42,278,6,134,11,18,11,48,171,8,90,30,212,252,26,80,78,13,274,111,90,22,70,62,86,6,7,22,69,238,24,34,21,31,13,183,109,219,20,227,106,195,10,187,66,94,26,168,79,226,8,17,141,117,250,63,254,3,67,79,86,315,20,68,78,141,13,54,50,167,165,144,55,8,6,54,178,6,175,142,1,175,110,176,61,253,32,268,137,55,147,51,144,25,92,299,82,318,172,59,86,55,220,43,61,140,83,71,68,67,118,354,171,99,132,114,58,78,121,104,133,103,228,34,11,325,76,67,251,97,77,216,203,26,67,136,115}

{370,436,652,874,956,1294,1458,1910,1963,2083,2451,2997,3020,3130,3531,3590,3610,4075,4230,4755,5156,6069,6298,6390,6519,6572,6646,6821,6905,7926,7969,8423,8615,8667,9172,9596,9638,9873,10021,10122,10554,10652,10708,11046,11149,11465,11612,11617,11648,11661,11767,12051,12107,12180,12195,12196,12340,12606,13479,13634,13946,14008,14115,14469,15003,15693,16035,16214,16303,16929,17009,17276,17413,17468,17661,17961,18350,18568,18893,19016,19436,19496,19713,19736,20012,20252,20377,20418,20672,21083,21308,21499,21781,21938,21989,22356,22612,22808,23157,23424,23530,23864,24278,24507,25007,25136,25291,25360,25979,26595,27076,27200,27327,27396,27985,28146,28208,28513,28540,28823,28975,29180,29587,30167,30340,30372,30735,30957,30969,30980,31231,31328,31329,31359,31433,31441,31842,31919,32057,32122,32204,32293,32350,32361,32471,32552,32563,32746,33021,33134,33354,33526,33611,33790,33930,34183,34188,34191,34389,34569,34651,34676,34828,35008,35136,35561,35873,35874,36106,36257,36270,36334,36641,36681,36938,37116,37774,37863,37947,38416,39094,39121,39208,39781,39851,40007,40448,40697,40786,40887,41007,41208,41335,41734,42064,42478,42507,42702,42948,43188,43293,43401,43688,43887,44105,44974,45086,45087,45758,45800,45811,45853,46093,46809,47032,47113,47183,47373,47552,47873,48130,48192,49090,49593,49711,49789,50007,50034,50716,50961,50967,51148,51259,51333,51452,51565,51584,51641,51669,51740,51917,52011,52924,53022,53034,53077,53210,53526,53582,53645,53717,54073,54079,54117,54141,54162,54274,54445,54459,54823,54886,54913,55086,55201,55298,55859,55940,56180,56969,56993,57074,57155,57311,57431,57685,58038,58284,59022,59338,59633,60000,60069,60387,61100,61193,61247,61260,61283,61381,61482,61541,61995,62073,62075,62280,62650,62853,62942,62977,63013,63087,63490,63665,63689,63922,64192,65179,65367,65959,66207,66258,66263,66392,66457,66902,67778,67795,67981,68345,68548,68730,68886,69267,69267,69988,70099,70210,70500,70541,70809,70962,70972,71248,71686,72150,72185,72418,72667,72936,73041,73140,73167,73214,73228,74544,74899,74988,74989,75022,75369,75501,76017,76698,76699,76776,76958,76972,77427,77812,77925,78079,78081,78263,78648,78893,79035,79198,79358,79437,79548,79557,79655,79675,79721,79882,79912,80417,80524,80947,81298,81312,81549,81727,81812,82226,82294,82327,82542,82690,82729,82804,83046,83113,83192,83206,83379,83857,83920,83999,84532,84592,85379,86862,86887,87158,87288,87738,87781,87891,87961,88177,88418,88577,89013,89461,89485,89753,89815,89982,90325,90522,90538,90545,90607,90667,90768,90871,91045,91298,91386,91601,91698,91910,91932,92511,92747,93230,93277,93301,93484,93605,94067,94140,94279,94301,94427,94477,94628,94870,94918,95032,95174,95347,96062,96122,96510,96927,96968,97074,97257,97638,97800,97963,98271,98574,98640,98772,98890,98908,98991,99459,99749,99817,99856}

Returns: 650515
{0,0,0,0,0,1,0,0,3,1,1,0,1,0,1,0,1,0,0,1,4,0,3,0,0,7,1,7,1,2,0,2,4,2,5,0,3,1,2,4,10,11,2,7,0,3,5,4,0,2,9,1,0,13,3,2,5,10,9,4,25,4,2,12,1,3,3,3,3,1,7,0,8,3,4,4,0,0,0,13,12,4,7,10,3,23,16,10,22,1,16,1,2,8,11,0,17,12,1,21,15,2,5,40,4,17,22,5,46,2,23,4,19,16,26,10,0,18,7,1,5,13,31,0,1,14,0,0,7,42,1,7,8,5,4,35,15,48,22,6,32,6,5,3,6,0,59,7,11,13,7,1,8,27,25,6,18,1,2,11,3,9,7,3,7,34,3,18,33,10,25,43,6,2,5,9,10,2,22,17,10,21,1,63,27,20,13,39,57,36,0,34,0,65,5,3,24,13,29,7,28,0,5,19,21,19,25,2,52,3,72,21,30,24,25,13,45,14,15,5,23,37,17,16,8,61,6,4,5,10,55,15,60,13,33,7,63,19,5,34,5,36,36,15,2,14,3,12,31,7,43,36,5,22,1,40,3,3,37,65,9,40,6,10,14,3,8,29,8,46,18,23,14,40,81,17,4,39,10,40,28,61,34,57,13,13,37,44,5,19,7,2,39,19,25,16,16,5,50,32,17,30,9,28,1,22,77,19,28,44,9,10,29,4,30,1,71,2,46,5,18,6,21,1,128,2,77,0,57,10,29,29,36,29,33,4,16,27,52,1,24,12,30,30,4,4,65,5,51,5,27,38,5,57,44,1,2,3,47,2,31,0,10,20,67,24,20,39,37,82,94,70,17,147,7,20,47,15,3,130,9,9,51,52,4,35,9,61,5,17,18,77,46,73,23,34,154,47,38,0,39,29,67,12,37,48,35,67,29,12,23,52,1,27,36,45,0,94,33,6,15,3,76,22,97,3,17,41,72,10,27,31,53,143,52,13,18,73,40,21,45,22,11,14,5,24,78,101,62,30,17,63,86,46,8,53,8,33,9,28,33,53,102,87,11,48,23,122,113,17,13,6,13,49,89,53,9,12,27,4,76,150,81,57,1,13,99,20,41,44,58,92,72,12,81,118,62,48,54,101,126,157,44,80,3,179,4,16,50,0,127,9,59,54,40,19,147,43,40,2,43,12,46,5,24,36,97,44,83,27,173,206,71,120,47,58,20,38,81,61,25,130,209,44,4,156,89,13,10,66,51,135,27,197,2,18,5,13,48,42,1,2,86,8,138,52,4,13,68,77,97,73,50,48,30,3,171,200,78,13,19,75,11,156,89,41,22,42,12,152,83,93,83,37,93,68,3,63,66,1,54,3,151,58,9,57,120,135,74,43,14,29,99,53,18,19,56,188,67,12,50,88,187,1,208,6,166,18,151,76,120,49,25,30,43,13,130,90,28,28,78,7,37,29,43,50,47,2,63,38,247,27,17,38,102,52,21,17,69,25,13,7,19,60,62,95,6,22,2,95,32,115,6,69,44,52,1,176,118,66,142,99,23,212,116,53,38,92,43,145,142,145,77,207,26,27,9,29,19,32,18,8,20,67,118,30,169,303,61,106,74,94,102,26,40,35,114,15,24,157,65,67,81,92,80,55,21,24,109,327,92,69,232,21,63,123,173,77,67,54,36,67,80,41,171,22,61,92,59,60,94,13,5,142,96,67,55,81,62,35,39,0,14,89,51,15,85,8}

{61,171,198,219,599,835,844,1062,1121,1415,1564,1571,1593,1814,1935,2069,2261,2442,2958,2973,2979,3412,3629,3987,4156,4176,4189,4560,4590,4596,4794,5023,5054,5152,5253,5326,5338,5440,5579,5676,5699,5922,6048,6112,6326,6352,6525,6717,6775,7109,7139,7204,7274,7283,7330,7442,7449,7746,7827,8270,8271,8276,8476,8491,8580,8603,8716,9049,9064,9235,9460,9465,9495,9601,9648,10084,10110,10200,10259,10492,10772,10775,10868,11011,11154,11306,11410,11806,11931,12037,12586,12617,12880,12969,13030,13226,13248,13400,13531,13662,13676,13932,13979,14005,14180,14217,14300,14374,14555,14588,14635,14790,14831,15101,15113,15252,15300,15444,15479,15502,15511,15530,15581,15612,15718,15719,15770,15789,16193,16671,16756,16783,16955,17051,17116,17175,17711,17963,18230,18263,18290,18319,18430,18509,18561,18639,19052,19101,19277,19366,19424,19506,19807,20020,20155,20418,20533,20538,20612,20613,20684,20704,20710,20841,21299,21419,21449,21716,22033,22277,22510,22801,22988,23144,23158,23189,23736,23756,23896,23982,24005,24168,24182,24282,24307,24344,24705,24964,24980,25174,25346,25461,25557,25628,25705,26214,26234,26423,26629,26729,26806,27151,27201,27383,27900,28225,28317,28481,28652,28658,28700,28706,28870,28953,29221,29322,29412,29463,29551,29839,30488,30504,30587,30602,30663,30711,30726,30794,31306,31308,31377,31382,31543,31549,31558,31567,31758,31943,31970,32429,32577,32764,32807,32868,32882,32916,33193,33245,33681,33847,33994,34155,34199,34228,34524,34649,34755,34949,35141,35421,35494,35597,35689,36124,36153,36345,36374,36390,36422,36575,36713,36792,36795,36862,36897,36918,36923,37058,37157,37205,37530,37540,37655,37723,37726,37751,37834,37848,37872,37931,38020,38069,38221,38288,38393,38451,38484,38549,38579,38692,38871,39193,39890,40136,40316,40444,40467,40541,40637,40750,40935,40964,41454,41565,41957,41989,42130,42415,42545,42574,42741,42836,42850,42924,42955,42961,42963,43025,43048,43121,43218,43234,43347,43465,44088,44272,44338,44433,44437,44482,44797,44810,44849,44948,44980,44996,45154,45293,45424,45426,45596,45647,45670,45729,46001,46449,46481,46486,46555,46643,46890,47018,47268,48133,48258,48306,48614,48815,48931,49106,49185,49221,49232,49272,49298,49723,49725,50435,50569,50838,50992,51059,51178,51228,51256,51374,51472,51534,51721,52187,52242,52387,52462,52559,52995,53180,53704,53795,53841,54036,54070,54112,54143,54166,54354,54367,54474,54651,54737,54834,54907,55077,55314,55408,55645,55649,55688,55768,55848,55851,55920,56020,56109,56196,56256,56272,56359,56553,56584,56622,56781,56829,56917,57363,57678,57714,57786,58101,58231,58332,58437,58712,58848,58920,59127,59298,59375,59391,59436,59448,59574,59602,59638,59731,59863,59916,59941,59983,60232,60415,60670,60759,60857,60912,61032,61210,61336,61393,61496,61501,61503,61714,61732,61833,61880,62602,62622,63184,63191,63728,64066,64134,64158,64178,64303,64317,64497,64498,64524,64529,64773,64925,65038,65362,65639,65671,65724,65953,66042,66064,66290,66314,66339,66341,66374,66381,66490,66560,66604,67004,67103,67187,67202,67234,67355,67717,67793,67877,68024,68059,68147,68154,68235,68240,68366,68480,68569,68671,68720,68888,69062,69116,69210,69258,69306,69400,69479,69539,69723,69856,69986,70059,70064,70121,70141,70404,70467,70489,70764,70835,70857,71106,71112,71367,71586,71660,71746,71960,72082,72433,72672,72769,72962,72974,73083,73295,73311,73392,73393,73458,73917,74237,74313,74364,74460,74495,74877,74961,75026,75059,75089,75110,75271,75432,75523,75666,75676,75959,76123,76133,76319,76456,76545,76670,76965,77144,77339,77467,77486,77615,77875,77958,78042,78163,78255,78314,78386,78422,78522,78632,78733,78765,78783,78905,79054,79114,79122,79164,79233,79541,79793,79963,80017,80193,80214,80356,80463,80561,80804,80813,80943,81288,81381,81422,81435,81479,81608,81641,81896,81938,82213,82345,82466,82515,82762,82939,82988,83114,83118,83152,83325,83360,83375,83383,83471,83649,83746,83783,83891,84132,84248,84362,84586,84953,84974,85032,85204,85212,85266,85331,85368,85751,85865,86091,86094,86129,86366,86369,86412,86540,87288,87518,87519,87661,87965,88378,88507,88778,88915,89151,89251,89273,89296,89581,89660,89723,89817,89873,89880,89933,90109,90270,90278,90853,90857,90987,91091,91106,91450,91915,91953,91982,92431,92681,92817,93090,93117,93185,93261,93265,93612,93689,93998,94051,94085,94295,94567,94791,94990,95067,95140,95147,95223,95339,95342,95399,95471,95524,95661,95830,95864,95952,96083,96097,96483,96493,97001,97387,97415,97615,97732,97829,97902,97911,98020,98140,98164,98246,98251,98368,98383,98705,98858,99065,99294,99830,99976,99984,99999}

Returns: 1044099
{0,0,0,1,1,2,2,5,2,1,2,2,0,0,7,1,6,2,5,16,9,5,4,1,8,1,2,8,4,3,1,1,6,0,14,18,21,24,3,21,38,9,1,18,32,20,1,16,0,29,3,23,2,31,25,21,8,28,22,36,34,44,53,13,50,0,20,12,0,29,18,29,12,4,3,31,34,26,61,23,7,24,22,22,53,37,56,10,25,0,2,39,67,5,7,33,52,14,50,86,90,51,74,38,25,20,9,48,67,0,14,8,3,26,53,13,35,4,0,58,52,50,7,100,30,65,52,54,40,30,15,41,1,82,36,17,80,26,47,10,11,14,48,110,61,42,17,84,1,31,34,8,106,18,35,71,37,80,16,49,74,77,58,80,89,30,98,89,6,59,16,39,166,37,5,73,21,99,44,1,35,28,35,106,31,11,95,7,42,33,47,143,97,83,9,76,12,106,77,52,104,57,13,21,149,45,170,115,83,61,55,58,29,67,78,1,10,17,94,116,15,47,161,71,37,25,122,101,62,47,75,19,10,0,27,10,25,162,0,77,12,1,95,141,29,8,75,63,109,83,142,191,138,71,70,15,40,14,40,200,53,106,142,202,130,100,53,47,222,41,87,211,104,159,3,66,116,88,119,39,164,142,143,59,75,217,0,65,146,14,14,74,86,169,66,145,229,13,113,85,61,165,8,52,48,7,44,217,23,85,172,173,100,148,63,164,26,132,141,145,151,112,228,144,142,17,250,25,16,58,6,50,278,8,0,62,18,254,52,183,56,289,20,136,89,168,266,187,86,118,65,305,56,159,101,163,135,178,117,61,91,45,206,59,165,103,36,225,171,8,304,1,6,138,322,125,6,335,196,156,110,140,65,162,40,352,55,68,55,80,168,148,301,49,272,53,113,118,16,79,120,25,57,28,62,195,86,175,71,267,389,103,60,183,342,199,93,197,141,0,192,163,360,144,35,18,66,55,47,192,115,142,157,317,106,188,75,9,154,21,41,78,265,146,27,17,387,386,164,105,20,191,71,138,47,197,208,131,124,107,67,64,272,45,39,8,153,268,150,38,80,194,177,133,100,84,73,120,153,116,332,317,218,222,200,125,1,293,275,118,314,39,229,110,47,80,351,362,346,349,150,228,118,37,11,97,165,70,399,34,89,37,495,431,166,188,497,157,240,126,80,442,110,5,146,36,315,46,94,74,86,125,56,58,281,245,283,13,194,368,0,89,25,334,363,200,75,429,151,190,402,333,376,189,488,251,258,486,198,30,426,451,57,375,35,369,5,213,14,259,411,120,384,166,81,111,241,28,17,47,189,6,152,24,80,8,132,235,19,207,488,304,4,49,158,326,480,214,163,443,475,496,322,92,426,470,203,193,348,74,100,300,28,55,507,113,199,97,242,58,363,3,335,428,52,151,11,257,86,194,185,95,467,127,48,236,114,90,545,12,158,175,8,408,276,461,195,55,583,96,244,210,54,272,193,457,187,44,247,269,344,219,404,268,175,106,430,215,250,309,308,205,72,220,381,32,87,394,182,60,78,177,242,88,200,115,115,12,205,226,1,167,386,67,1,217,328,31,294,417,81,187,63,83,413,1,317,625,249,9,174,308,139,172,54,152,22,28,25,120,107,247,2,128,377,127,104}

{3,150,181,205,321,408,589,807,889,996,1100,1260,1300,1492,1592,1856,1949,2316,2460,2708,2748,2775,3005,3028,3176,3179,3271,3303,3413,3544,3593,3706,3733,3876,4188,4302,4387,4624,4666,4685,5120,5136,5268,5311,5368,5373,5393,5529,5808,5832,6054,6206,6499,6527,6579,6648,6653,6803,6963,7390,7431,7684,7846,7983,8041,8100,8285,8417,8503,8580,8600,8606,8900,8955,9043,9257,9310,9336,9370,9472,9672,9678,10021,10158,10268,10312,10380,10386,10610,10626,10847,10859,11058,11259,11446,11507,11656,11682,11759,11890,11966,12169,12208,12486,12503,12622,12727,13035,13089,13139,13198,13248,13352,13495,13522,13749,13802,13970,13977,14142,14180,14194,14400,14422,14470,14602,14891,15138,16173,16270,16444,16716,16739,16868,16987,16988,17391,17408,17526,17613,17631,17632,17652,17784,17986,18182,18307,18332,18343,18360,18658,19057,19143,19178,19223,19375,19522,20251,20421,20525,20924,20980,20997,21065,21069,21397,21420,21490,21492,21581,21627,21867,21920,21935,21983,22009,22231,22307,22346,22373,22625,22679,22701,22813,22925,22993,23377,23799,23863,23904,24061,24120,24334,24594,24673,25248,25815,26254,26340,26413,26620,26655,26841,26894,27067,27218,27242,27259,27269,27414,27827,28080,28110,28124,28232,28504,28817,29263,29338,29361,29625,29666,29910,30200,30339,30473,30639,30641,30881,30931,31420,31429,31448,31500,31703,32103,32113,32122,32170,32520,32588,32592,32625,32664,32765,32983,33082,33559,33644,33714,33741,33793,33907,34131,34318,34335,34417,34568,34711,34900,34918,35043,35091,35347,35379,35404,35440,35495,36128,36130,36188,36267,36328,36424,36452,36478,36509,36741,36778,36899,36900,36900,36950,37004,37280,37683,38190,38255,38380,38418,39074,39096,39554,39660,39846,40091,40336,40391,40499,40533,40541,40737,40950,41001,41129,41312,41672,41686,41946,42121,42159,42257,42302,42473,42528,42571,42604,42754,43115,43371,43419,43475,43657,43922,43971,44085,44111,44334,44583,44779,44994,45012,45036,46135,46381,46581,46605,46618,46697,46764,46941,46968,47053,47283,47349,47494,47810,47822,47992,48119,48177,48228,48288,48343,48481,48743,48751,48765,48796,48909,48943,48966,49133,49193,49257,49348,49815,49987,49991,50152,50168,50226,50330,50726,50918,50949,50973,51181,51273,51394,51526,51630,51781,51797,51929,52032,52378,52418,52440,52890,53316,53876,53892,53992,54054,54069,54157,54383,54704,54840,55070,55222,55329,55361,55369,55611,55620,55688,55691,55820,56103,56290,56291,56495,56636,56671,56722,56745,56852,56934,57004,57064,57066,57093,57146,57238,57606,57650,57856,57865,57866,57868,57958,58259,58317,58402,58580,58625,58697,58803,58880,59115,59161,59566,59742,59919,60444,60495,60513,60602,60741,60815,60876,61182,61374,61447,61929,61932,62661,62788,62788,62836,62969,62991,62991,63123,63255,63329,63407,63628,63634,63720,63722,63808,63906,63955,64720,64728,64759,64957,65287,65722,65862,65873,65885,65907,66104,66114,66132,66260,66264,66329,66533,66587,66627,66627,66805,66849,67118,67129,67238,67248,67284,67830,68278,68566,68690,68705,68767,68864,69023,69109,69120,69558,69577,69598,69770,69877,69949,70394,70408,70437,70565,70565,70613,70699,70884,70986,71037,71047,71151,71401,71625,71696,71796,71869,72081,72148,72196,72290,72325,72707,72752,72867,72901,72913,73239,73331,73629,74110,74139,75279,75330,75409,75448,75665,75789,75963,75996,76092,76304,76335,76538,76677,76776,76804,77093,77101,77133,77182,77232,77269,77301,77308,77314,77318,77792,77946,78096,78140,78206,78235,78574,78846,79008,79086,79123,79367,79450,79516,79597,79728,79817,79879,80114,80266,80283,80895,80932,80954,81220,81281,81665,81731,81919,81962,82006,82107,82556,82852,82895,82911,82965,82995,83276,83383,83466,83495,83572,83638,83732,83764,83890,83916,84115,84273,84598,84852,85133,85310,85568,85656,85681,86186,86222,86269,86574,86694,86797,87054,87073,87334,87341,87437,87470,87697,88032,88332,88373,88423,88450,88519,88522,88545,88857,88875,88890,89139,89278,89361,89388,89395,89429,89476,89699,89711,89723,89832,90097,90145,90309,90662,91007,91128,91202,91371,91404,91595,91667,91783,91851,91890,92016,92048,92110,92144,92146,92231,92412,92698,92887,93373,93634,93704,93747,93913,93989,94487,94605,95013,95029,95039,95176,95469,95728,95895,96141,96357,96438,96462,96464,96717,96927,97109,97163,97245,97321,97348,98101,98213,98457,98780,99054,99123,99199,99441,99507,99974}

Returns: 547820
{0,1,2,3,4,5,6,5,6,9,10,8,11,13,11,13,16,13,18,17,19,21,22,13,20,25,17,26,24,28,30,31,23,27,28,27,32,33,37,35,31,37,40,37,40,36,38,41,46,49,41,46,32,45,51,49,47,49,54,59,50,30,57,55,57,55,27,61,63,67,44,65,61,71,71,70,64,72,52,79,78,80,79,68,78,84,82,82,76,86,67,83,92,74,92,89,94,92,67,87,89,101,95,101,73,79,85,93,73,80,59,77,112,106,74,104,115,106,99,68,105,87,71,119,123,123,82,120,97,107,125,79,105,132,125,127,133,128,105,103,98,116,137,114,144,96,112,143,148,123,92,138,113,117,101,129,139,137,142,152,148,108,157,154,156,160,163,158,138,148,164,165,169,163,158,172,130,155,162,113,159,152,140,153,156,101,165,163,188,179,183,188,191,187,130,144,102,188,159,149,189,168,187,166,189,99,196,188,177,204,198,190,181,133,199,200,203,180,203,213,211,203,206,218,218,189,179,200,146,215,199,224,140,207,215,227,183,231,235,226,237,227,206,225,243,226,211,221,240,212,215,241,228,141,239,222,234,257,178,188,143,238,160,263,244,242,180,192,253,231,267,261,243,221,250,272,268,258,239,252,207,244,249,253,216,192,276,252,275,289,233,263,237,291,103,295,249,166,278,257,287,247,297,293,240,272,251,252,259,289,197,296,233,236,274,266,316,295,250,304,285,232,295,301,230,322,277,295,183,322,293,320,296,317,285,309,333,289,278,216,301,324,290,270,278,321,299,296,318,346,334,327,342,349,339,313,353,304,231,338,348,316,310,240,304,345,242,264,192,306,350,194,371,283,360,359,371,363,367,285,334,381,197,382,361,368,274,382,361,304,354,313,373,355,295,369,279,282,227,306,356,380,390,369,358,292,393,402,352,319,402,376,386,357,387,348,208,415,381,398,400,412,380,406,343,415,369,328,269,381,392,399,417,389,421,368,379,379,329,405,408,298,436,333,440,386,423,382,390,412,414,450,353,439,378,405,394,354,429,361,395,338,422,376,419,193,443,362,335,401,348,372,380,473,361,260,346,403,400,420,429,428,461,467,398,445,438,228,452,455,387,402,431,465,460,396,447,492,482,464,468,457,473,416,396,403,397,456,452,474,457,431,510,438,382,279,514,504,399,492,445,472,407,437,355,492,501,405,224,435,399,519,476,506,533,512,530,508,452,511,457,402,289,511,419,386,476,256,498,534,480,375,477,386,424,435,445,547,530,539,547,561,369,482,482,557,455,432,567,275,450,448,513,556,527,460,392,508,574,390,526,562,578,322,537,477,504,574,528,441,582,581,370,517,441,585,564,448,576,594,557,566,591,578,576,456,540,569,551,541,573,429,602,296,600,613,606,595,586,565,544,598,593,487,576,601,583,535,483,479,467,528,597,525,513,626,616,581,587,631,533,637,621,590,523,573,607,615,618,612,546,565,573,504,612,532,588,516,609,567,582,578,628,509,572,587,308,572,424,601,653,414,664,624,580,604,499,571,604,373,660,623,555,653,534,583,578,648,665,562,605,548,673,320,621,639,652,594,533,504,396,528,554,660,557,616,636,671,687,685,429,644,500,616,693,472,574,681,596,643,523,643,712,586,392,493,721,514,663,720,520,681,711,638,677,595,670,649,732,563,586,622,690,594,481,680,673,671,583,722,563,736,602,616,667,718,681,732,679,556,627,733,648,636,469,578,623,613,669,605,675,528,609,771,706,690,683,717,646,737,551,750,252,695,766,765,653,744,410,669,761,731,706,745,640,685,762,790,579,760,765,574,762,762,575,789,800,652,610,727,542,400,639,724,796,544,746,787,606,472,737,701,738,631,800,799,694,807,789,406,709,827,589,764,648,774,729,791,828,679,717,816,700,822,820,804,684,728,550,759,845,622,670,660,853,808,733,786,684,599,812,593,529,758,667,389,654,846,619,656,798,847,707,780,827,700,650,772,680,690,819,631,877,866,649,835,697,736,781,744,884,772,847,693,812,882,771,779,660,787,802,893,823,795,889,861,835,789,727,616,723,583,781,824,548,657,859,898,895,851,834,698,874,867,903,920,718,685,921,389,789,852,873,690,760,865,907,920,899,878,865,780,808,529,538,416,878,781,830,795,817,873,743}

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Returns: 456156
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{363,434,606,759,1749,1935,1943,3225,3379,3429,3460,3945,3986,4003,4018,4488,4505,4617,5533,5829,6091,6426,6790,6803,7198,7257,7293,7603,7790,7843,8074,8171,9504,9537,9708,9736,10219,10268,10375,10572,10814,10840,11077,11283,11399,11625,11708,11741,12449,12872,12889,13071,13183,13234,13478,13544,13604,13912,13951,13961,14153,14243,14538,14560,14616,15029,15403,15609,15703,15722,15978,16141,16186,16557,16557,16759,16789,16938,17014,17127,17131,17315,17552,17708,17839,18351,18477,18662,19382,19423,19524,20125,20292,20548,20674,20857,21312,21760,21815,21839,21886,21890,21937,22267,22463,22830,23098,23307,23685,24208,24470,25199,25856,26005,26224,26517,26919,27454,27758,27848,28058,28172,28458,29277,29567,29784,30091,30180,30469,30634,30660,30717,31585,31713,32114,32223,32234,32655,32821,32908,33090,33100,33114,33268,33487,33572,33833,33930,33940,34255,35203,35270,35641,35661,36000,36150,36216,36651,37029,37198,37198,37530,37644,38257,38697,38729,38788,38854,39401,39497,39633,39893,40110,40153,40586,40776,41084,41882,42272,42874,43262,43471,43954,44045,44337,44657,44947,45590,45724,45965,46328,46665,46745,46919,47183,47733,48173,48224,48685,48913,49027,49326,49817,50008,50332,51143,51181,51310,51388,51400,51563,51688,51818,52004,52039,52186,52732,52886,53388,53485,53578,53904,54588,54872,54940,55069,55131,55146,55268,55748,56244,56277,57293,57507,57815,57970,58088,58230,58488,58838,59182,59544,59760,59864,59946,59971,60180,60316,60466,60966,61250,61604,61742,61773,62174,62910,62964,63273,63350,63553,63864,64133,64221,65040,65136,65270,65541,65565,65845,66505,66995,67240,67244,67339,67361,67538,67566,67635,67773,67852,68484,68509,68735,68738,68793,68832,69574,69707,69883,69952,70368,70547,70745,70753,70832,71270,71556,71620,71653,71940,73018,74350,74673,74736,74995,75030,75481,75758,75851,75861,76032,76113,76278,76510,76604,77367,77500,77865,77911,78315,78830,79260,79801,79918,79980,80157,80213,80292,80776,81029,81101,81172,81433,82058,82190,82329,82796,82886,83021,83171,83802,84245,84512,84633,84938,85267,85814,86531,86668,86908,87197,87797,87826,87840,87967,88507,89142,89166,89351,89360,89434,89502,90281,90323,90687,90753,91122,91203,91400,91464,91490,92118,92684,93039,93128,93834,93915,94390,94966,95126,95255,95451,95779,95954,96065,96183,96751,97083,97200,97211,97417,97509,98111,98173,98566,98660,98891,98974,99276,99414,99770,99942}

Returns: 443092
{0,1,2,3,4,4,6,5,7,7,7,10,12,13,13,15,16,15,18,17,16,19,19,7,19,25,24,23,24,29,27,20,31,32,32,35,32,37,36,37,37,41,30,38,43,45,38,38,45,47,47,46,48,44,49,33,44,57,55,59,59,42,62,53,62,54,66,54,66,69,67,70,72,66,74,73,72,74,73,77,80,79,72,70,77,85,77,85,83,71,80,82,69,70,72,92,87,73,84,93,94,88,88,90,100,84,105,100,97,68,85,62,102,106,83,113,116,74,111,115,103,120,121,108,100,124,120,121,123,125,129,87,120,75,121,99,106,136,128,127,101,132,137,135,116,143,142,141,130,125,111,147,150,117,147,150,152,102,157,158,139,139,131,162,150,158,155,128,166,146,163,159,95,151,174,158,156,165,178,172,155,118,169,164,169,177,165,170,155,174,159,188,167,185,190,161,172,165,192,186,165,127,180,159,149,181,206,203,206,170,210,201,176,207,200,214,193,178,218,210,197,212,204,203,223,209,167,194,137,173,101,154,226,184,211,234,215,200,209,239,186,200,230,102,220,204,172,214,227,164,190,241,227,247,238,235,195,250,220,189,247,207,259,256,251,245,167,253,268,263,267,216,247,218,271,249,123,270,270,244,274,274,276,271,234,266,227,263,281,260,255,185,250,225,266,291,219,266,224,268,292,278,297,275,191,290,221,229,271,298,235,310,158,280,174,263,279,253,300,293,287,224,280,280,322,278,237,323,287,266,282,315,321,328,241,290,289,169,313,334,283,280,326,284,328,175,230,206,335,291,349,272,342,304,278,310,313,336,186,340,327,333,337,336,146,346,341,300,367,336,337,223,309,239,342,291,292,371,301,275,376,364,352,361,280,379,325,356,357,365,338,381,349,349,394,319,385,378,368,361,391,372,372,314,401,369,311,406,293,319,369,394,231,392,385,369,358,382,401,419,337,341,391,353,394,420,387,415,343,277,422,395,304,430,386,415,262,361,326,319,433,385,374,261,366,420,436,334,447,353,447,341,450,400,452,295,369,332,391,328,442,461,328,270,349,396,359,434,416,379,470,455,450,439,460,387,422,463,472,446,463,444,409,422,446,441,433,471,431,485,445,491,422,478,483,408,459,422,432,485,491,470,464,484,493,489,353,361,507,456,476,411,506,494,505,211,421,373,509,449,508,513,507,443,494,518,486,496,415,528,450,482,417,392,527,463,521,405,442,514,491,345,526,316,447,494,483,529,518,543,400,538,537,511,481,436,530,538,499,397,454,488,448,525,352,543,536,536,428,533,513,417,502,555,516,538,575,513,428,455,360,529,515,502,424,577,386,535,555,447,391,568,558,400,438,574,475,594,590,583,571,422,492,555,538,485,600,507,584,569,606,566,598,484,612,607,424,575,575,587,558,485,582,544,599,520,569,529,593,581,622,623,624,549,549,537,605,505,401,579,587,447,550,582,628,537,495,583,604,518,640,563,611,634,602,594,620,645,601,644,562,537,486,596,639,608,615,577,480,426,641,653,356,541,433,587,659,573,519,623,620,668,596,603,649,676,625,589,257,555,645,389,586,693,642,588,666,615,598,501,448,689,628,671,615,692,693,627,687,590,685,592,572,621,665,666,467,660,547,620,510,666,679,644,690,683,700,721,673,613,650,649,662,579,726,497,545,600,588,715,640,661,572,715,651,679,690,592,589,729,677,688,655,752,698,739,702,624,741,750,679,688,598,753,630,473,740,590,679,718,760,755,414,768,504,735,552,730,692,723,749,680,694,663,714,689,745,673,479,770,717,780}

{8,43,75,135,186,248,473,484,901,915,1032,1203,1262,1981,2150,2190,2283,2358,2607,2796,2833,2839,2849,2919,3038,3107,3194,3373,3579,3599,3607,3701,3731,3827,3958,3963,4049,4183,4208,4247,4357,4450,4631,4710,4908,4971,4990,5045,5428,5523,5587,5636,5852,5904,6707,6749,6781,6844,6886,6928,7036,7046,7415,7636,7731,7736,8054,8071,8121,8395,8532,8564,8670,8733,8960,8982,9083,9118,9149,9382,9631,9734,9975,10278,10356,10496,10550,10757,10830,10842,10919,10954,11048,11220,11298,11680,11747,11823,11871,12016,12096,12510,12562,12626,12725,13065,13235,13302,13399,13478,13535,13572,13584,13819,13942,14355,14384,14411,14447,14474,14718,14857,15301,15312,15338,15901,15904,15923,15978,16021,16114,16371,16600,16627,16931,17051,17273,17499,17734,17997,18271,18419,18633,18673,18708,18782,18890,18919,19099,19153,19560,19615,19622,19654,19710,19768,19792,19875,19904,19915,19955,20204,20295,20523,20552,20768,20784,20795,20830,21064,21224,21257,21351,21373,21411,21575,21603,21901,22174,22252,22280,22284,22426,22994,23092,23416,23493,23494,23553,23713,24066,24312,24313,24533,24713,25047,25122,25167,25251,25547,25561,25947,25974,26034,26070,26080,26164,26311,26549,26633,26639,27204,27242,27285,27294,27506,27636,27706,27851,28013,28248,28252,28376,28469,28605,28781,28841,28841,28908,28949,29040,29129,29217,29305,29630,29637,29717,29749,29752,29778,29787,30115,30237,30285,30339,30352,30432,30450,30652,31035,31181,31270,31281,31563,31565,31672,31700,31725,31812,31876,32116,32304,32304,32490,32533,32847,32912,33185,33354,33375,33752,33861,33925,34022,34289,34411,34420,34528,34848,34849,34921,35153,35199,35322,35372,35405,35444,35477,35567,35805,35835,35848,35933,36037,36050,36193,36775,36873,36956,37036,37130,37333,37371,37550,37700,37774,38056,38075,38114,38279,38304,38309,38362,38367,38524,38524,38581,38598,38639,38687,38786,38820,38845,39160,39169,39463,39521,39646,39793,39884,39901,40065,40179,40328,40444,40529,40637,40725,40759,41118,41358,41397,41400,41445,41733,41781,41793,42058,42093,42211,42219,42295,42555,42595,42634,42746,42755,42781,43121,43348,43374,43404,43570,43690,43700,43746,44020,44034,44163,44485,44649,44916,44927,45069,45331,45332,45367,45401,45449,45467,45474,45571,45738,46081,46574,46772,46817,46975,47107,47201,47358,47418,47546,47578,47588,47850,48156,48270,48436,48537,49184,49409,49512,49554,49575,49825,50130,50139,50156,50163,50424,50471,50509,50702,50717,50734,50862,50867,51066,51146,51477,51871,51976,52008,52043,52190,52320,52434,52596,52617,52938,52941,53105,53211,53302,53533,53600,53673,54034,54467,54610,54686,54688,54707,54866,54925,55146,55542,55574,55727,55756,56093,56127,56219,56321,56344,56389,56461,56483,56801,56802,57008,57232,57692,57938,57950,58033,58146,58233,58243,58329,58343,58456,58976,59081,59288,59376,59694,59880,60056,60114,60160,60338,60505,60613,60625,60835,60962,61268,61460,61718,62077,62231,62232,62329,62416,62423,62427,62572,62663,62696,62710,62731,62788,62930,63098,63178,63216,63247,63356,63558,63567,63646,63829,64055,64235,64290,64307,64865,64926,65076,65098,65223,65790,65985,66119,66507,66870,66879,66931,67081,67247,67602,67713,67859,67952,67998,68300,68318,68336,68647,68813,68880,69029,69136,69237,69316,69447,69454,69460,69596,69630,69915,69995,70171,70415,70465,70735,70906,70913,71047,71150,71183,71256,71429,71458,71520,71532,71688,71703,71801,71875,72174,72212,72256,72476,72600,72613,72624,72722,72730,72780,72818,72834,73070,73087,73215,73216,73226,73560,73852,73978,74121,74148,74171,74226,74238,74418,74436,74588,74696,74730,74770,74992,75016,75026,75091,75124,75156,75313,75409,76044,76151,76247,76271,76294,76322,76588,76822,77027,77068,77165,77191,77437,77552,77768,77933,77971,78030,78120,78204,78215,78455,78522,78678,78783,78913,79040,79219,79380,79434,79568,79638,79901,80026,80057,80202,80289,80370,80522,80713,80888,80928,80974,81189,81447,81518,81520,81555,81762,81779,81831,81897,81957,82566,82652,82706,82749,82815,82984,82995,83091,83229,83333,83445,83496,83605,83642,83681,83910,83970,84161,84248,84343,84728,84806,84812,84815,84890,84901,84909,84967,85051,85151,85196,85396,85525,85608,86017,86159,86188,86215,86265,86277,86649,86653,87014,87249,87255,87292,87617,87804,87813,87833,87884,88004,88024,88029,88116,88204,88352,88672,88796,88898,88906,89714,89858,89986,90723,91084,91141,91324,91524,91527,91646,91660,91672,92150,92338,92365,92404,92581,92701,92728,92788,92814,93671,93720,93962,94073,94090,94191,94307,94448,94473,94628,94673,94687,94759,95015,95031,95118,95186,95255,95341,95366,95758,95765,95795,96163,96245,96352,96379,96540,96597,96645,97161,97229,97435,97630,97695,97719,98296,98405,98706,98844,98903,99139,99237,99535,99658,99823,99867}

Returns: 498896
{0,1,2,3,4,5,6,7,8,8,10,11,11,12,13,15,16,17,18,19,19,21,22,17,24,25,25,27,27,20,30,27,30,28,34,31,36,37,37,33,31,36,39,41,38,43,39,44,48,43,50,51,47,50,54,47,55,38,57,56,56,38,62,55,56,56,61,62,66,64,67,36,70,69,67,74,68,77,70,69,77,79,82,73,75,85,76,58,86,82,83,68,91,93,92,88,95,93,86,88,98,93,91,73,80,94,99,104,78,99,102,104,102,107,112,101,105,110,116,114,117,115,118,114,119,122,99,104,118,129,122,116,132,124,129,125,133,127,125,105,134,133,141,136,134,145,139,126,135,130,147,128,133,138,148,154,155,138,124,149,154,139,150,157,147,164,122,152,156,141,168,163,162,154,169,156,174,161,178,178,153,140,180,164,170,144,165,173,151,186,143,150,189,179,185,115,185,187,184,196,165,201,191,152,183,174,152,175,204,190,188,197,211,211,206,199,197,208,196,214,208,219,203,198,217,204,208,210,180,200,209,228,214,220,234,205,227,211,223,209,236,241,221,240,228,242,237,202,231,249,228,236,216,195,202,251,248,247,231,230,228,259,257,229,239,262,262,238,267,204,218,251,257,268,254,201,136,276,251,232,168,264,220,278,262,246,273,244,258,210,240,261,287,240,293,285,227,282,246,245,277,234,271,294,244,270,293,289,277,306,294,305,305,297,314,308,315,288,286,316,288,289,215,321,301,268,298,261,322,284,283,327,303,327,281,298,331,230,184,255,326,333,310,321,316,295,317,336,338,345,331,317,314,352,350,355,331,342,342,343,333,360,349,297,362,320,349,319,316,362,337,359,326,332,313,332,356,369,310,265,317,366,311,350,376,381,369,380,382,382,372,288,370,383,372,367,324,379,367,308,372,395,255,331,402,401,399,357,373,393,408,380,319,356,389,393,399,321,396,386,406,403,377,389,423,420,337,410,366,378,365,411,373,400,373,331,349,429,415,416,406,407,440,432,433,442,405,412,343,422,329,413,445,345,415,420,373,413,444,390,447,455,455,407,449,397,365,406,369,412,439,433,388,429,433,473,359,465,420,416,479,477,456,398,433,449,430,455,369,430,488,374,450,411,494,494,494,483,468,438,497,498,493,500,485,442,460,466,503,349,460,487,502,505,472,484,489,458,517,468,453,517,509,510,519,473,518,395,460,451,422,526,475,488,432,467,530,437,506,507,498,364,529,477,392,511,531,547,521,512,456,526,502,528,338,501,541,504,550,542,547,552,520,496,374,557,502,503,559,518,560,563,529,561,521,569,551,571,477,509,451,557,546,573,521,579,544,586,532,480,511,524,387,590,526,520,577,590,536,537,546,599,530,578,550,572,573,542,575,605,589,585,547,607,522,524,599,608,559,608,612,560,379,543,623,578,575,539,498,567,595,589,631,633,577,578,545,578,630,629,587,613,595,629,602,639,627,634,613,638,650,627,617,625,462,517,576,579,557,599,649,564}

{230,380,399,712,1011,1017,1040,1052,1411,1431,1441,1525,1541,1791,1804,2193,2573,2955,2994,3415,3490,3499,3953,4159,4300,4366,4521,4849,4892,4978,5132,5346,5742,5754,6087,6199,6296,6356,6357,6437,6524,6547,6703,6732,6836,6957,7046,7058,7088,7265,7390,7588,7752,7764,7818,7914,7930,8008,8247,8479,8509,8563,8586,8779,9286,9387,9661,9871,10278,10752,10820,11013,11085,11115,11126,11356,11665,11731,11776,11924,11940,12189,12192,12193,12460,12617,12679,12720,12728,12933,12946,13001,13145,13305,13346,13389,13520,13671,13997,14155,14350,14570,14893,15038,15059,15092,15137,15183,15265,15369,15722,16299,16379,16510,16628,17107,17231,17252,17260,17469,17502,17691,17889,18132,18406,18491,18557,18685,18720,18760,18903,19135,19197,19255,19256,19431,19506,19601,19986,20007,20029,20066,20130,20507,20699,20740,20747,20834,21414,21470,21915,22364,22563,22607,22712,22828,22975,23144,23508,23522,23957,24092,24134,24172,24198,24489,24504,24656,24783,25489,25700,26030,26065,26073,26182,26421,26551,26648,26663,26833,27080,27155,27267,27324,27431,27925,27934,28296,28860,28889,29074,29466,29477,29513,29615,29945,30130,30177,30319,30322,30334,30563,30745,30941,31027,31053,31158,31240,31246,31373,31473,31487,31718,32153,32155,32309,32635,32650,32894,33072,33172,33217,33231,33347,33516,33673,33695,34034,34099,34106,34165,34299,34381,34484,34521,34715,35049,35062,35071,35123,35220,35344,35357,35887,35955,36206,36432,36435,36486,36490,36986,37036,37263,37287,37410,37763,37858,39045,39190,39234,39244,39297,39369,39386,39457,39506,39553,39972,40028,40087,40216,40871,40894,41120,41301,41490,41572,41859,42150,42235,42420,42642,42732,42847,42859,43416,43548,43910,43947,43979,44181,44325,44348,44582,44697,44727,44835,45297,45349,45443,45508,45530,45558,45579,45588,45758,45795,46022,46123,46139,46149,46207,46509,46523,46542,46578,46643,46713,46942,46998,47010,47686,47737,48048,48089,48281,48797,49071,49098,49166,49324,49569,49643,49905,49976,50062,50157,50179,50244,50659,51028,51099,51152,51211,51419,51526,51889,52059,52117,52122,52369,52385,52574,52620,52814,53372,53512,53535,53627,53636,53664,53770,53922,54242,54510,54717,54839,55632,55714,56315,56322,56360,56418,56458,56705,56731,56774,56977,57047,57143,57589,58046,58051,58051,58094,58985,59108,59187,59191,59444,59695,59863,59922,59985,60311,60320,60376,60396,60591,60971,60990,61057,61092,61235,61249,61322,61732,61773,61809,62387,62442,62509,62720,62777,63030,63117,63417,63464,63787,63900,63925,63938,63982,64004,64171,64192,64428,64753,64800,65053,65102,65139,65459,65490,65613,65977,65980,66007,66177,66411,66462,67033,67160,67227,67317,67525,67669,67755,67782,67794,67805,67848,68003,68032,68140,68205,68209,68394,68527,68949,69204,69293,69358,69493,69950,70240,70479,70917,71173,71221,71602,71613,71645,71663,71674,71792,71895,72070,72112,72496,72739,72762,73179,73377,73441,73616,74435,74541,74659,75229,75345,75386,75571,75590,75598,75622,75688,75698,75951,76122,76739,76745,76979,77178,77200,77270,77328,77445,77565,77716,78123,78287,78374,78414,78523,78664,78740,78772,78973,79014,79164,79838,80099,80151,80163,80417,80467,80818,80823,80988,81084,81375,81547,81568,81623,81646,81657,81772,82107,82463,82544,82676,82735,82738,82833,82834,82869,83003,83028,83078,83467,83588,83718,83838,83896,84122,84155,84288,84329,84421,84455,84773,85073,85171,85182,85296,85434,85441,85905,86014,86075,86160,86291,86412,86413,86622,86807,86850,86870,87215,87390,87403,87605,87719,87917,88198,88407,88487,88619,88689,88693,88799,89052,89201,89477,89508,89576,89687,89863,89919,89985,90254,90448,90773,90887,90996,91530,91788,91985,92052,92067,92325,92682,92824,93227,93246,93340,93413,93509,93747,94044,94157,94225,94568,94807,94841,94879,94883,95189,95297,95342,95521,95565,96116,96172,96201,96546,96572,96583,96589,96653,96700,97022,97158,97242,97297,97430,97433,97449,97626,97752,97781,97941,97969,98035,98155,98158,98396,98723,98737,99245,99288,99879}

Returns: 503357
{0,0,1,0,1,0,2,4,3,0,1,3,0,1,6,6,2,1,5,4,3,0,12,0,7,7,7,3,15,1,0,5,8,13,1,13,11,3,4,1,6,25,9,16,12,24,9,7,5,5,7,19,2,11,0,4,10,11,4,2,1,11,8,13,0,13,6,3,0,3,45,8,1,21,25,19,19,22,23,4,19,6,3,11,2,3,22,10,0,8,1,5,9,4,4,14,14,46,7,26,21,13,2,40,54,10,29,40,37,19,9,40,5,35,17,9,6,22,96,8,16,17,18,24,18,4,55,35,79,9,6,30,104,3,16,35,21,7,28,17,30,18,38,34,25,26,28,29,6,22,33,10,68,4,23,33,9,28,30,45,12,5,18,14,64,31,45,7,15,74,59,82,21,99,100,2,17,28,17,77,14,21,9,53,18,19,51,30,68,10,4,92,146,71,46,28,13,39,57,0,42,121,2,6,5,44,6,2,19,33,35,7,84,17,13,70,26,56,4,22,25,4,84,70,28,15,11,34,18,20,79,57,20,150,1,21,13,36,7,58,97,86,61,161,8,71,99,7,0,110,62,24,1,78,5,131,111,176,55,35,91,35,100,32,108,18,72,3,56,19,20,78,76,15,33,59,56,86,1,27,25,85,122,17,42,86,10,1,104,69,1,109,6,4,2,1,24,30,79,136,22,23,2,12,62,28,56,156,12,25,69,37,179,55,15,86,22,25,126,12,0,61,180,28,54,207,94,39,5,129,106,57,57,60,51,63,39,38,84,26,96,167,73,103,0,12,187,21,183,1,65,50,56,51,0,3,1,92,4,72,10,60,32,25,161,144,163,30,156,89,145,18,119,87,50,138,43,66,122,150,136,105,6,115,60,141,85,61,330,115,24,48,176,75,170,118,83,54,47,28,199,17,143,18,21,127,60,81,48,102,45,34,111,20,151,35,11,77,100,34,51,179,91,37,21,0,131,77,90,84,85,128,35,24,43,158,333,37,28,64,287,135,128,80,116,48,55,76,50,14,52,39,203,148,34,94,110,5,35,37,123,71,45,17,116,44,187,158,132,20,104,146,93,1,252,214,77,104,33,375,8,93,60,116,4,37,33,56,62,303,249,150,23,51,89,285,221,304,323,104,7,114,114,145,119,41,29,15,92,2,224,173,157,218,271,133,199,98,160,181,153,162,153,62,207,39,1,116,120,53,312,382,1,244,88,68,180,82,313,79,154,78,42,20,64,59,112,287,88,42,14,115,146,191,29,27,54,116,72,103,66,45,8,100,77,4,245,307,25,386,24,158,8,135,12,56,129,118,118,66,13,60,229,116,152,249,187,209,118,1,205,91,198,167,28,67,19,91,11,49,214,4,295,10,112,213,122,48,266,116,42,302,15,221,217,5,200,116,24,45,156,403,92,7,240,268,249,7,180,207,67,266,462,266,52,141,115,370,146,274,365,185,1,328,139,173,34,251,90,171,62,22,58,64,65,238,253,111,75,181,7,58,18,42,44,79,315,38}

{101,169,350,369,393,420,576,686,726,763,1003,1117,1304,1380,1522,1550,1595,1979,2003,2148,2231,2424,2656,2835,2923,3320,3396,3466,3517,4510,4608,4716,4731,4930,5160,5311,5322,5483,5580,5592,5606,5636,5761,5891,5940,6067,6069,6230,6287,6541,6844,6875,6998,7050,7221,7363,7387,7517,7571,7787,8291,8361,8468,8894,8992,9112,9193,9540,9582,9617,9801,9935,10467,10952,10955,11064,11073,11129,11247,11710,11773,11852,11974,12216,12356,12672,12683,12743,13070,13154,13510,13758,13979,14057,14118,14380,14421,14612,14615,14827,15326,15489,15569,15680,15851,16018,16310,16354,16676,17319,17516,17658,17674,17787,17883,17904,17928,17992,18244,18483,18510,18573,18824,18850,18882,18929,19002,19235,19290,19728,19940,20163,20167,20190,20370,20858,20869,20919,20976,21257,21270,21284,21398,21526,21667,21799,21910,22153,22211,22419,22508,22637,22779,22977,23050,23069,23229,23324,23365,23575,23839,23998,24270,24327,25019,25322,25340,25419,25455,25531,25555,25582,25714,25757,25878,26093,26180,26449,26753,27701,27898,27972,28259,28333,28394,28538,28577,28651,28722,29160,29160,29451,29647,29648,29827,29928,29944,30091,30222,30231,30308,30330,30412,30561,30637,30672,30983,31369,31800,31859,31861,31881,31940,32034,32134,32163,32358,32365,32665,32991,33261,33567,34086,34086,34130,34846,34955,35093,35274,35289,35695,35759,35881,35968,35995,36065,36423,36472,36847,36943,36997,37029,37064,37098,37199,37395,37492,37557,37664,37666,37692,37727,37841,37935,38003,38010,38251,38316,38434,38679,38918,38945,39127,39402,39650,39699,39873,39943,40099,40250,40730,40850,40958,41217,41958,42029,42058,42101,42309,42325,42419,42508,42727,42855,42858,43400,43902,44190,44211,44224,44737,44749,44768,44982,45028,45234,45314,45451,45714,45969,46037,46060,46075,46144,46202,46207,46234,46267,46476,46808,46842,46905,46984,47030,47043,47253,47455,47641,47772,47804,47874,47978,48147,48220,48263,48267,48277,48688,48890,49279,49574,49663,49663,50240,50327,50398,50427,50492,50732,51117,51252,51405,51464,51533,51556,51668,51920,52840,53523,53742,54013,54195,54506,54951,54999,55370,55522,55600,55750,55854,55875,56079,56096,56215,56349,56678,56968,57132,57132,57174,57282,57342,57379,57428,57551,57770,57904,57911,57922,57954,58250,58317,58614,58823,59026,59131,59281,59724,59827,59929,60059,60093,60260,60461,60532,60735,60794,61202,61411,61724,61915,61929,62199,62444,62610,62613,62701,62940,63040,63285,63527,63683,63765,63881,64122,64191,64236,64237,64242,64418,64570,64698,64768,65023,65083,65227,66269,66341,66355,66362,66422,66657,66687,66691,66782,66799,66819,66827,66840,66916,66947,67199,67204,67277,67372,67696,68127,68169,68846,68918,69067,69150,69167,69228,69579,69645,69656,69688,69909,70004,70302,70318,70565,70593,70610,70787,70927,70954,71165,71201,71654,71676,71799,71974,71989,71999,72834,73099,73134,73591,73778,73838,73847,74083,74126,74224,74301,74421,74575,74649,74756,74830,74922,75112,75202,75312,75439,75506,75547,75638,75868,75909,76174,76223,76281,76284,76384,76455,76458,76466,76513,76749,77022,77049,77402,77712,77848,78153,78302,78406,78436,78609,78680,78732,78750,78754,78990,79022,79361,79375,79425,79854,79904,80068,80139,80345,80595,80973,81321,81355,81523,81962,82031,82072,82281,82327,82457,82527,82546,82741,82998,83009,83064,83419,83697,83845,83988,84139,84223,85050,85307,85329,85517,85695,85717,85795,85917,86134,86149,86221,86270,86514,86607,86712,86774,86902,86908,87335,87431,87442,87461,87538,87618,87623,87860,87884,88008,88021,88490,88527,88544,88608,88799,88896,88919,88973,89036,89121,89293,89333,89344,89527,89686,89952,89962,90255,90260,90323,90629,90673,90674,90679,91113,91233,91536,91643,91911,92240,92579,92611,92910,93041,93080,93216,93373,93480,93618,93658,93658,93695,94140,94148,94692,94894,95025,95178,95187,95233,95367,95402,95445,95638,95851,96090,96329,96501,96519,96794,96852,96946,96993,96997,97057,97581,97670,98129,98140,98247,98399,98594,98762,98829,99012,99065,99074,99190,99263,99541,99645}

Returns: 830121
{0,0,1,1,0,2,1,2,4,3,2,5,9,6,14,8,10,10,1,16,13,6,6,15,2,0,8,11,17,16,22,12,32,30,14,12,35,26,25,11,9,37,15,35,25,15,14,9,6,33,18,45,23,35,32,19,32,13,13,25,3,48,8,24,63,59,36,55,37,67,9,25,54,31,64,2,15,45,49,52,29,79,36,12,48,21,56,53,59,63,90,61,24,56,11,44,60,43,81,69,73,47,61,20,0,56,97,33,77,80,13,2,52,88,30,66,90,98,106,96,12,39,40,109,49,91,56,78,68,80,26,83,43,4,69,13,117,128,33,76,53,46,125,85,42,12,4,8,120,5,115,145,24,51,146,72,125,55,109,94,96,90,122,156,150,6,119,40,39,31,158,110,71,28,104,71,89,95,127,27,152,10,52,90,101,102,7,82,45,5,126,22,154,186,166,180,185,135,116,14,129,99,94,11,161,177,122,192,174,126,0,202,40,100,176,62,112,186,218,147,95,192,218,38,8,210,173,53,15,102,109,225,214,200,24,150,91,143,235,14,161,5,99,52,62,76,26,240,56,237,78,68,201,227,229,159,90,0,91,211,192,199,91,46,54,116,102,190,114,50,51,98,222,130,179,209,203,120,157,122,100,101,222,99,138,213,121,27,101,143,28,226,6,10,207,284,54,52,292,116,20,90,195,161,176,164,89,27,27,26,253,211,305,209,308,292,212,171,212,14,279,9,112,241,225,270,240,13,192,221,248,52,118,12,261,48,22,285,200,102,82,261,161,276,227,5,308,51,10,15,149,54,321,130,295,114,200,122,264,89,328,107,28,251,115,253,87,229,265,199,251,78,199,109,67,132,314,323,342,282,209,31,22,347,310,174,157,339,25,44,301,176,170,228,160,372,154,309,139,190,51,381,358,297,384,70,364,332,172,385,406,291,219,73,229,186,279,306,24,227,35,421,244,304,181,346,35,188,23,130,368,338,35,227,187,237,241,74,188,195,298,253,60,118,382,206,400,322,20,319,78,221,22,174,333,341,303,431,188,414,337,144,410,424,404,11,111,439,97,72,106,138,150,53,22,33,250,395,319,373,409,364,11,210,121,314,28,255,72,326,477,14,459,320,90,260,414,473,56,493,268,94,205,256,447,358,39,328,203,169,451,219,282,86,276,206,226,454,152,124,56,433,105,310,336,523,296,411,88,120,57,490,64,468,27,471,191,160,234,50,137,461,55,35,317,265,160,401,354,460,547,261,129,20,106,424,543,80,368,466,543,79,81,432,546,538,415,353,2,493,351,23,13,561,441,452,19,23,450,209,160,107,405,349,97,305,449,399,44,313,518,333,322,310,537,140,125,66,182,260,314,559,63,508,204,110,490,454,345,469,549,190,265,573,204,281,148,166,494,167,154,7,393,347,600,114,596,538,44,72,594,495,244,183,194,18,179,135,312,492,384,178,467,301,328,112,577,178,304,259,506,223,239,579,533,219,553,392,77,248,43,80,280,298,304,19,497,5,282,497,340,131,490,97,344,399,8,22,220,570,536,524,427,611,348,126,354,573,294,579,90,262,323,193,462,224,600,529,355,9,54,201,242,699,288,343,652,404,462,632,505,643,381,616,546,496,616,134,1,102,625,555,354,139,4,415,371,324,67,81,683,225,614,253,631,84,645,562,425,700,498,633,495,646,152,675,325,81,642,160,706,360,587,346,455,8,632,684,582,232,291,377,425,481,255,615,107,79,253,640,590,517,337,357,6,543,327,182,205,137,454,498,678,334,39,699,127,229,579,348,385,304,252,69,236,712,204,478,483,758,283,221,390,91,204,530,535,73,155,749,62,753,330,144,746,333,720,715,631,317,466,172,419,777,572,64,750,122,526,507,288,158,497,785,565,279,393,2,694,742,325,556,821,818,751,352,668,359,85,213,708,376,846,788,209,63,546,148,567,653,298,707,634,246,605,660,634,512,691,125,333,647,418,748,560,266,809,513,864,25,621,274,593,456,371,78}

{78,159,501,648,757,767,768,801,853,915,932,1003,1067,1231,1293,1390,1424,1577,1622,1796,1884,1978,2063,2126,2200,2458,2579,2711,3183,3288,3370,3422,3441,3532,3540,3572,3903,3974,4075,4144,4275,4345,4356,4402,5006,5079,5099,5109,5112,5283,5286,5412,5508,5564,5580,6062,6121,6292,6401,6567,6618,6653,6660,6730,6799,6809,7038,7042,7170,7241,7612,7792,7808,7845,7931,7961,8113,8258,8276,8653,8791,8925,8964,8991,8992,9044,9170,9213,9214,9358,9540,9684,9687,9874,9884,10020,10252,10281,10382,10583,10602,10636,10725,10736,10829,11024,11026,11080,11115,11270,11298,11314,11536,11656,11862,11914,12008,12019,12420,12422,12437,12655,12742,12819,13058,13110,13116,13190,13201,13308,13436,13508,13549,13791,13816,13907,13973,13979,14013,14041,14061,14154,14285,14642,14697,14731,14799,14834,14940,15035,15115,15115,15373,15541,15724,15749,15770,15983,16180,16189,16634,16765,16777,16893,16948,16992,17003,17039,17293,17389,17535,17613,17616,17663,17930,17941,17955,18128,18163,18247,18547,18656,18714,18787,18817,18880,18894,19276,19432,19652,19841,19887,19919,20006,20061,20197,20321,20374,20420,20599,20739,20888,21049,21061,21073,21093,21119,21194,21218,21391,21392,21566,21762,21922,21946,22562,22917,22980,23054,23080,23140,23309,23593,23593,23740,23879,23985,24170,24256,24318,24417,24544,24579,24760,24814,24995,25217,25240,25243,25244,25264,25267,25342,25496,25933,25968,26026,26033,26049,26106,26158,26258,26297,26366,26405,26565,26795,27155,27200,27338,27578,27787,27854,27881,27910,28000,28139,28333,28341,28374,28437,28567,28796,28843,28998,29031,29074,29293,29369,29369,29457,29525,29613,29702,29761,29944,29996,30070,30149,30157,30289,30380,30393,30484,30591,30944,30998,31020,31162,31227,31392,31498,31757,31810,32068,32104,32192,32391,32432,32499,32942,33156,33170,33391,33502,33588,33689,33779,33829,33841,33875,34155,34272,34343,34708,34849,34864,34889,34965,35235,35262,35284,35338,35815,35980,36105,36185,36551,36576,36681,36687,36717,36757,36838,36904,37270,37297,37585,37619,37632,37864,37873,37980,38182,38213,38252,38325,38401,38467,38610,38783,38918,39078,39125,39187,39280,39370,39460,39572,39748,40010,40109,40131,40204,40248,40324,40378,40607,40770,40869,40923,41024,41103,41238,41272,41491,41531,41595,41728,41878,41905,42002,42008,42356,42363,42768,42791,42958,43053,43547,43666,43670,43753,43786,43819,44014,44161,44173,44222,44335,44671,44754,44918,44919,45111,45130,45144,45234,45328,45616,45686,45740,45889,46113,46591,46699,46857,46931,47002,47028,47286,47328,47534,47692,47760,47814,48040,48344,48466,48647,48786,48797,48975,49021,49023,49057,49095,49138,49241,49445,49452,49669,49754,49834,49856,50177,50226,50309,50349,50382,50449,50461,50721,51140,51320,51345,51350,51361,51604,51780,51785,51810,51968,52043,52131,52164,52165,52189,52207,52539,52711,52766,52813,52861,52963,52983,52995,53298,53353,53369,53461,53510,53522,53539,53598,53673,53720,53985,53993,53994,54030,54056,54476,54478,54921,55054,55251,55360,55389,55611,55768,55972,56066,56067,56190,56277,56305,56325,56585,56688,56692,56809,56962,57072,57087,57101,57372,57673,57832,58001,58153,58211,58219,58262,58350,58539,58610,58662,58692,58776,59084,59085,59335,59456,59487,59554,59589,59605,59632,59656,59666,59675,59699,59857,59943,60027,60042,60202,60279,60319,60354,60362,60429,60453,60607,60621,60672,60706,60725,60971,61395,61436,61617,61752,62004,62007,62009,62027,62435,62508,62548,62554,62766,62933,62958,62989,63016,63093,63140,63368,63411,63463,63573,63674,63765,64215,64289,64399,64634,64987,65032,65112,65273,65407,65510,65542,65686,65730,65839,65912,65973,66099,66156,66239,66318,66337,66398,66556,66631,66665,66700,66731,66833,66834,66958,67022,67190,67191,67266,67486,67505,67527,67550,67680,67823,67834,67919,68008,68141,68225,68277,68319,68426,68460,68631,68664,69137,69234,69626,69643,69764,69850,69875,69899,70016,70067,70185,70528,70632,70765,70829,70898,70900,71158,71303,71411,71531,71549,71603,71755,72174,72207,72208,72357,72491,72743,72895,73108,73112,73174,73362,73480,73590,74059,74092,74197,74516,74550,74562,74623,74783,74897,74988,75020,75203,75328,75657,75773,75865,75943,76053,76094,76242,76727,76899,77090,77152,77157,77215,77237,77324,77362,77400,77574,77953,78012,78695,78802,78807,78854,78976,79296,79565,80090,80400,80751,80836,81010,81188,81309,81358,81466,81590,81753,81843,81871,81876,82024,82151,82202,82598,82689,82714,82951,83076,83441,83728,83835,83867,83972,84095,84183,84189,84231,84372,84864,84876,84930,84962,85018,85083,85146,85533,85577,85797,85958,86229,86260,86353,86462,86679,86958,87039,87371,87402,87582,87641,87684,87859,87861,88075,88154,88199,88472,88603,88617,88671,88687,88742,88758,89018,89036,89300,89313,89497,89508,89669,89719,89796,89823,89917,90027,90038,90065,90083,90127,90323,90348,90476,90508,90922,91344,91389,91419,91474,91510,91645,91687,91714,91785,91810,91834,91966,92234,92287,92287,92406,92578,92625,92663,92689,93126,93262,93294,93422,93551,93659,93689,93690,93705,93843,94055,94135,94372,94420,94677,94898,94932,94964,95136,95667,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Returns: 339717
{0,1,2,3,4,2,5,7,7,9,10,10,11,13,6,14,16,12,12,17,17,18,22,23,23,19,26,22,27,19,30,28,21,32,30,33,34,29,34,29,36,30,40,42,25,32,42,41,45,38,43,50,44,48,35,43,46,57,51,48,29,50,55,61,57,64,52,37,40,65,56,64,62,59,63,70,59,74,55,73,75,51,54,75,71,78,58,46,79,70,72,81,71,82,63,56,84,77,92,48,88,85,97,103,99,76,102,85,50,105,55,101,107,93,101,95,66,98,100,117,110,112,112,122,101,125,77,82,61,117,128,118,93,106,130,117,135,135,119,133,83,138,117,130,143,118,112,112,136,110,123,147,142,103,91,96,156,143,138,155,129,158,129,138,153,150,163,142,166,151,163,151,156,172,159,147,150,139,156,165,137,179,138,183,181,176,162,179,146,123,116,139,183,176,173,191,152,117,104,167,196,146,187,158,195,124,100,161,187,197,206,157,209,141,118,150,183,188,212,167,163,200,199,206,167,214,168,181,152,205,204,185,194,217,186,212,225,237,236,131,198,223,232,165,162,241,245,148,221,165,181,230,246,211,175,227,205,239,237,190,234,178,235,252,147,164,204,246,249,264,158,253,269,215,215,247,262,241,63,227,262,269,271,169,276,146,252,249,286,272,144,273,280,253,276,251,241,206,283,257,286,193,268,227,180,285,273,161,306,277,301,200,299,238,240,302,306,301,280,291,313,126,319,201,290,325,260,310,304,215,316,328,208,250,320,332,158,312,333,339,322,283,261,341,301,338,336,347,283,343,328,247,209,254,205,255,305,299,279,330,345,345,258,241,277,305,353,367,205,158,365,212,343,369,361,317,368,269,268,286,315,225,377,291,289,328,317,118,331,386,324,391,269,354,371,364,239,384,248,267,359,386,358,358,382,372,399,397,309,268,351,409,283,368,378,260,298,378,403,408,368,405,410,319,365,398,411,384,338,424,403,396,123,281,376,177,357,412,391,319,205,348,288,409,307,358,420,443,422,437,397,247,407,299,446,340,243,436,361,406,447,297,340,407,456,383,440,276,321,367,454,426,328,424,305,453,438,351,417,373,402,411,478,250,340,381,381,446,311,397,368,417,376,418,407,453,418,480,487,454,482,485,265,446,434,333,408,420,431,398,484,491,491,505,426,465,513,440,510,474,445,351,417,492,450,338,438,471,306,496,514,446,509,517,376,503,497,478,528,523,467,389,368,508,537,447,519,493,282,436,506,538,480,446,547,548,513,519,478,208,429,456,546,519,490,553,495,557,531,180,381,408,510,514,566,435,535}

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Returns: 516185
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1200,91385,91404,91562,91729,91737,91745,91809,91906,91908,92071,92088,92088,92221,92275,92364,92365,92481,92636,92815,92919,92955,93157,93176,93251,93637,93839,93929,94154,94273,94300,94341,94356,94413,94415,94579,94665,94689,94800,94962,95012,95150,95213,95471,95549,95565,95758,95766,95880,95924,96012,96330,96722,96825,96931,97056,97090,97257,97348,97438,97511,97611,97655,97782,97785,97903,98133,98268,98366,98402,98489,98567,98572,98592,98609,98720,98737,98902,98998,99469,99493,99579,99724,99769,99833,99856,99987}

Returns: 435033
{0,1,2,3,4,5,6,6,8,7,10,11,12,11,14,15,15,17,18,16,19,18,20,22,20,23,26,25,26,28,24,26,32,31,33,32,34,34,38,38,34,41,39,40,39,44,41,46,48,39,50,45,48,47,52,45,46,48,47,44,51,61,56,61,59,64,65,65,56,65,63,64,65,67,60,69,75,44,67,77,75,81,81,83,68,73,84,76,84,71,83,90,91,91,78,83,91,95,83,87,72,99,99,82,94,105,100,94,97,109,93,105,101,106,112,102,113,105,93,115,104,101,115,117,123,125,114,111,101,84,130,122,132,130,109,124,129,134,129,134,119,141,124,63,131,132,143,137,136,144,142,147,149,153,148,154,153,131,154,140,138,142,135,157,142,162,136,163,154,151,169,158,158,169,150,146,171,167,148,102,165,181,173,183,161,185,182,180,188,178,190,167,154,186,172,145,196,192,154,166,186,201,194,199,198,169,190,192,207,209,183,165,197,194,171,190,203,171,200,218,188,219,199,220,211,174,201,225,170,223,194,187,199,225,204,221,188,235,210,184,233,239,213,207,213,177,207,199,221,242,236,238,244,236,216,241,253,222,244,217,225,223,239,255,249,197,238,264,261,264,247,205,218,223,220,271,208,253,258,272,211,256,281,253,280,253,272,286,255,224,215,275,290,266,286,264,267,287,265,278,263,294,267,207,273,266,290,294,290,215,308,234,300,259,221,305,258,295,316,285,293,238,314,298,300,248,322,283,263,298,297,287,236,216,301,220,324,324,309,336,320,293,336,333,284,336,339,327,299,336,346,264,327,256,338,302,327,287,345,339,335,316,345,301,309,348,300,318,355,357,349,361,330,358,367,358,365,313,303,347,337,378,201,373,378,303,372,289,309,336,352,380,328,352,383,391,391,381,378,399,306,400,383,385,293,354,386,357,394,326,261,353,366,395,395,415,345,385,405,374,335,402,367,382,387,295,404,396,409,346,388,414,357,409,408,426,435,407,379,406,396,430,373,354,385,390,398,364,419,411,419,449,402,428,451,415,395,379,376,415,460,429,311,266,463,333,317,450,453,439,460,378,469,471,379,449,427,438,389,362,471,469,401,396,431,479,459,483,427,463,443,467,485,416,480,345,334,494,439,390,484,500,464,487,501,485,472,439,485,441,364,419,489,504,498,422,479,446,284,463,469,398,477,477,507,504,521,476,488,502,518,518,526,507,477,523,511,468,524,429,356,496,535,500,519,535,537,541,515,513,542,525,458,486,504,455,498,326,499,490,519,555,539,494,526,561,492,532,539,548,410,563,547,326,451,533,501,554,536,439,506,326,562,528,375,576,543,511,481,396,532,367,586,478,558,577,569,576,445,571,592,506,512,521,508,599,464,491,603,548,599,534,487,559,553,464,582,609,530,589,611,400,601,605,501,571,620,563,587,550,606,617,598,561,605,575,553,613,543,568,633,511,592,555,609,630,575,538,647,548,649,444,503,516,614,467,618,656,550,573,643,636,591,649,513,500,584,569,657,625,447,635,634,595,632,625,674}

{364,366,374,501,695,695,697,721,899,1107,1304,1331,1402,1519,1729,2175,2256,2650,2718,3249,3394,3436,3449,3503,3571,3610,3696,3984,4139,4254,4341,4476,4530,4534,4703,5012,5073,5412,5422,5492,5581,6033,6158,6226,6412,6660,6671,6674,6730,7000,7021,7038,7233,7403,7506,7590,7626,7740,8145,8298,8490,8563,8817,8853,8905,9605,9786,9990,10355,10815,10957,10987,11017,11020,11295,11422,11444,11459,11860,11998,12089,12093,12456,12823,12908,13001,13002,13263,13287,13621,13739,13758,13770,13963,14252,14267,14355,14366,14599,14664,14831,14906,14938,15015,15056,15157,15324,15453,15461,15496,15851,15972,16048,16050,16224,16235,16420,16609,16688,16822,16856,17026,17403,17470,17669,18251,18332,18359,18432,19180,19215,19233,19602,19630,20259,20325,20469,20744,20753,20812,20827,20957,21040,21272,21725,21804,21925,21942,22047,22163,22248,22392,22404,22485,22491,22500,22514,22786,23060,23178,23317,23351,23516,23557,23560,23568,23727,23804,23808,24005,24084,24125,24140,24145,24167,24254,24293,24324,24339,24340,24418,24615,24617,24625,24902,25169,25224,25311,25448,25505,25531,25604,25753,25850,25907,26106,26509,26779,26823,27082,27194,27586,27954,28176,28290,28339,28340,28356,28490,28664,28768,28919,29125,29142,29146,29210,29235,29355,29371,29383,29394,29599,29757,29770,29821,29925,29969,30130,30338,30343,30551,30554,30578,30617,30996,31314,31768,31934,32042,32350,32385,32943,33672,33729,33837,33850,33895,34182,34289,34396,34981,35035,35081,35193,35529,35792,35856,35872,35881,35941,36106,36113,36340,36387,36625,37354,37420,37617,37633,37680,37850,38136,38147,38162,38430,38629,38736,39007,39040,39062,39152,39335,39344,39434,39556,39716,39762,40143,40334,40664,40752,40774,40997,41265,41284,41331,41361,41463,41568,41684,41804,41868,42170,42210,42250,42341,42426,42434,42624,42704,42734,43041,43068,43080,43122,43130,43149,43475,43613,43859,43925,43955,43973,43990,44078,44213,44266,44288,44361,44614,44626,44702,44717,44730,44800,45362,45367,45618,46516,46533,46593,46648,46668,46900,46933,47002,47368,47395,47465,47553,47841,47912,48463,48710,48875,49183,49373,49474,49644,49805,49893,49917,49932,50457,50502,50515,50645,50863,51049,51297,51320,51361,51603,51680,51777,52069,52593,52773,52911,52948,53398,53819,53846,53894,54221,54299,54783,55177,55314,55338,55515,55947,56049,56074,56209,56503,56620,56864,56932,56978,57207,57324,57752,57816,58381,58536,58619,58828,59109,59211,59479,59553,59881,60041,60264,60367,60512,60732,60953,61242,61294,61551,61787,61963,62074,62146,62231,62322,62417,62578,62820,62930,62983,63123,63152,63385,63458,63657,63748,64247,64260,64781,64924,65176,65177,65179,65408,65417,65663,65713,66043,66148,66162,66288,66695,66860,67121,67270,67612,67624,67682,67777,67872,67878,68206,68310,68362,68561,69316,69712,69770,69804,70216,70372,70885,70947,71110,71169,71418,71444,71540,71677,71844,71910,72209,72326,72381,72390,72912,73199,73379,73552,73906,74042,74229,74385,74746,74883,74888,74955,75064,75096,75099,75229,75255,75376,75406,75491,76010,76119,76139,76375,76427,76480,76743,76889,77353,77380,77393,77611,77626,77715,78059,78103,78381,78789,78918,78941,79055,79107,79201,79285,79308,79346,79751,79783,79808,79843,80320,80380,80520,80760,80796,80916,80965,81079,81080,81139,81202,81455,81580,81591,81728,81764,82183,82431,82433,82453,82716,82842,82963,83116,83163,83210,83336,83514,83524,83558,83755,83911,84178,84254,84476,84575,84774,84906,85188,85212,85371,85403,85404,85581,85777,85782,85993,86074,86464,86653,86771,87138,87317,87842,87855,87960,88102,88126,88191,88213,88577,88727,88973,88989,89015,89033,89460,89462,89480,89514,89564,89600,89621,90155,90183,90259,90414,90476,90589,90594,90742,90799,91064,91142,91155,91317,91471,91895,91986,92052,92060,92260,92441,92445,92452,92504,92773,92791,92926,92993,93045,93123,93141,93329,93645,93766,93802,93827,93891,94007,94187,94249,94313,94330,94449,94463,94588,95056,95572,95613,95752,96475,96484,96729,96954,97398,97803,97935,98392,98485,98493,98652,98680,98745,98943,99070,99085,99533,99618,99754}

Returns: 396705
{0,0,0,1,0,1,2,2,0,0,0,1,5,3,4,4,4,3,1,3,14,4,10,8,2,7,6,8,5,9,6,11,12,9,2,5,9,10,9,17,15,8,7,0,7,0,4,2,16,26,11,18,3,6,7,9,11,2,29,38,22,4,13,3,13,10,0,41,36,21,14,15,16,9,4,23,8,6,27,4,15,23,20,48,22,12,56,36,11,8,6,27,1,34,1,0,55,4,42,11,37,2,24,12,4,53,2,22,19,6,13,55,57,83,3,6,2,12,57,2,28,49,2,7,0,40,3,6,42,21,19,48,53,61,85,11,45,15,5,10,17,6,18,32,23,15,33,1,11,16,13,50,22,15,27,93,70,12,35,12,11,34,7,28,24,26,5,52,7,14,55,25,0,18,86,46,84,57,39,74,111,83,27,112,97,22,24,25,87,65,32,36,96,25,96,47,9,19,53,3,1,1,27,102,110,31,33,108,132,80,6,0,134,41,83,20,74,54,118,106,115,127,67,9,131,60,12,43,28,69,77,79,52,31,44,118,76,10,52,23,108,83,63,94,32,73,70,155,12,69,4,71,1,102,83,14,91,16,24,12,183,19,7,19,17,122,117,206,49,143,79,30,66,91,95,55,117,125,167,78,45,22,113,44,78,106,2,23,58,90,222,16,4,26,2,5,49,58,7,40,29,24,50,136,20,122,133,36,39,20,36,58,155,57,5,148,9,142,14,58,194,40,26,131}

{488,897,1453,1614,2356,2447,2525,2606,2665,3058,3120,3319,3376,3489,3739,4699,4850,5020,5623,5663,5681,5844,5898,5962,6039,6108,6260,6340,6726,7628,7686,7754,7786,8292,8520,8551,8717,8843,9356,10231,10272,10513,10978,11075,11123,11488,11987,12082,12668,12873,13046,13597,13606,14637,14753,15673,16307,16318,16538,17774,18001,18660,18990,19056,19194,19248,19252,19331,19720,20901,20968,21168,21407,21475,22435,22784,23674,24083,24099,24104,24302,24852,24963,25333,25503,25827,26180,26575,26771,27347,27541,27557,27600,27680,27903,29119,29174,30314,31022,31343,31370,31795,32270,32387,33384,34044,34507,34532,34642,35103,35428,36369,36877,37015,37113,37376,37764,37996,38645,38928,39032,39386,39595,39667,39901,40041,40732,40949,41000,41533,41538,42069,42358,42433,42580,42617,42664,43139,43700,43835,44792,45454,45851,46103,46264,46265,46277,46320,46395,48166,48400,48438,48924,49133,50361,51351,51649,51737,52043,52564,52682,52801,53206,53253,53426,53502,53643,53783,54066,54201,54359,54468,54881,55219,55513,55544,56312,57206,57223,57277,57456,58414,59089,59410,59731,59818,60422,60670,60851,60888,61010,61297,61603,61645,61749,62367,63097,63785,63823,63900,64025,64056,64280,64437,64482,64509,64532,64682,64927,64950,65032,65408,66011,66674,66675,66813,66982,67242,67582,67750,67803,68034,68238,68417,68469,68573,68786,69065,69104,69183,69431,69907,70013,70163,70386,70803,70965,71028,71273,71374,71379,71484,71507,71672,71765,71934,72097,73316,73398,73539,74005,74134,74185,74879,76349,76999,78308,79398,79422,79702,79944,80266,80660,80817,81012,81030,81387,82875,83412,84484,85223,85427,85754,86382,86574,86651,86869,86894,87550,88724,88827,89836,89908,90378,90669,91254,91705,92198,92261,92289,92397,92422,92465,92481,92515,92685,92761,93015,93034,93362,93432,93559,93694,93899,94131,94827,94867,94883,94979,95558,95617,95911,96168,96484,96603,96975,97464,97577,98023,98128,98526,98565,98571,98748,99806}

Returns: 437150
{0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,1,2,0,0,1,9,2,0,3,1,1,8,2,1,6,8,0,12,1,0,3,0,3,1,1,7,3,6,2,3,1,5,0,0,6,15,1,1,2,24,4,9,6,8,13,9,0,7,9,2,4,13,13,9,6,10,13,26,10,15,0,0,4,1,17,3,2,2,9,21,2,2,11,0,6,13,1,7,3,11,8,15,7,8,10,0,32,45,9,20,4,8,20,43,8,13,34,31,4,7,11,6,25,6,24,10,16,20,3,4,13,35,6,11,16,31,2,1,13,28,8,7,4,8,4,14,9,2,0,11,0,36,6,11,39,1,15,29,9,8,25,3,35,21,5,3,1,22,1,33,26,3,20,30,13,1,19,3,8,4,16,7,41,31,46,1,3,35,2,12,2,46,85,25,1,0,21,13,38,29,42,6,26,28,32,3,43,3,0,8,35,43,25,37,0,23,13,1,4,15,20,93,23,15,38,2,4,22,1,16,3,33,8,7,55,36,4,19,17,15,44,1,10,15,16,1,20,23,76,9,42,8,39,27,76,22,6,6,8,6,36,6,19,58,6,4,43,38,4,11,34,44,67,33,20,36,1,49,3,65,27,3,13,24,6,11,1,44,49,7,8,2,2,4,39,58,81,24,14,102,36,2,1,1,30,104,58,54,12,34,16,45,11,108,36,28,25,11,26,53,48,72,33,1,36,57,14,59,162,51,40,47,31,1,60,15,11,5,69,38,22,58,72,74,41,14,137,66,20,18,72,67,75,10,97,30,4,33,8,17,3,29,15,68,11,4,30,61,12,19,81,12,64,24,72,12,29,49,30,33,55,21,97,8,35,14,29,27,17,3,66,80,84,15,38,31,8,60,48,57,53,8,119,2,11,1,46,9,46,32,0,44,7,4,2,34,63,44,136,33,16,140,49,16,97,36,43,35,10,101,95,33,93,1,85,19,107,179,11,38,1,12,81,127,75,24,7,43,32,166,30,17,68,21,51,58,84,37,13,4,3,60,85,3,10,37,44,3,50,22,26,1,11,8,110,9,32,133,47,53,42,15,21,46,171,89,19,98,140,13,49,50,26,7,45,186,7,5,49,34,17,16,103,0,162,112,12,4,135,22,22,35,142,119,19,58,95,3,12,94,80,19,4,15,38,13,59,47,51,60,80,15,20,7,52,166,39,66,58,61,5,6,8,27,16,68,18,67,63,64,80,43,71,24,56,10,95,9,96,14,41,150,78,124,86,11,41,55,95,31,39,30,47,87,5,132,2,16,42,34,64,47,79,58,30,45,107,60,63,46,27,46,37,108,24,21,48,157,32,46,77,44,33,11,35,87,64,14,52,29,24,174,205,2,5,53,36,7,79,40,0,17,63,72,62,117,0,25,192,22,143,79,103,2,55,47,183,179,21,28,0,8,42,188,19,158,56,95,44,229,40,96,79,110,14,2,11,20,10,17,4,132,166,82,100,15,72,16,154,70,92,16,19,10,16,193,35,42,8,22,42,21,256,18,1,34,97,29,16,23,57,92,34,112,64,11,36,72,215,192,61,79,34,5,126,19,19,84,29,36,49,87,48,84,26,3,11,79,64,6,152,55,137,59,178,148,0,49,88,14,111,39,62,86,51,6,187,56,15,38,112,96,131,60,78,35,43,178,54,38,114,53,86,90,47,22,15,222,35,103,176,143,51,118,5,33,126,239,27,27,61,132,102,18,28,0,145,88,498,26,43,169,41,14,165,225,14,3,154,105,89,64,19,21,114,22,120,69,23,72,71,71,193,52,30,120,226,59,110,80,165,143,86,8,82,38,15,7}

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Returns: 858004
{0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,5,2,0,2,1,9,1,0,2,3,3,2,7,4,4,4,3,9,1,8,0,3,4,0,0,4,2,6,10,2,2,2,3,5,2,6,1,1,5,5,16,1,3,9,0,4,1,2,16,8,3,11,4,36,0,7,5,4,0,4,19,9,1,3,5,3,8,8,24,5,0,8,1,7,5,4,22,1,4,11,15,2,11,0,9,10,2,0,4,14,3,10,8,1,11,5,9,40,4,8,3,3,6,0,7,1,4,5,14,9,15,4,23,14,11,10,39,6,1,3,21,33,25,22,47,5,7,13,25,5,24,40,25,5,0,52,7,15,10,2,7,2,0,15,15,1,28,2,27,71,4,6,4,5,3,42,2,16,5,16,25,14,4,13,4,18,1,6,2,20,33,5,0,3,26,8,6,34,25,11,20,10,7,10,8,4,24,40,34,19,0,10,17,1,16,16,38,17,11,0,4,59,16,4,51,28,15,30,53,5,1,14,23,27,24,46,4,1,25,57,9,15,1,18,1,49,6,22,4,25,24,47,13,29,10,19,1,11,3,56,61,25,63,1,35,76,16,8,6,5,10,5,8,48,41,11,6,7,10,30,37,7,13,8,50,14,38,4,70,52,33,6,8,13,125,3,19,10,5,26,41,29,50,80,37,76,43,27,14,16,0,0,40,18,8,25,56,20,64,45,27,33,49,17,15,75,31,6,43,40,29,47,5,15,186,28,96,9,7,11,28,30,37,56,20,16,84,27,7,90,28,2,1,0,16,7,16,30,18,0,5,61,14,13,14,47,75,8,25,67,9,109,47,63,41,2,37,25,21,100,18,44,54,41,16,47,20,12,22,13,126,19,18,18,28,56,5,10,39,36,19,8,47,61,74,28,28,31,8,45,7,47,25,27,41,62,7,13,0,50,93,45,54,20,31,175,8,27,21,1,15,46,49,102,22,96,54,50,46,101,11,100,18,49,8,66,83,19,47,40,80,12,149,102,23,48,66,82,15,84,34,34,78,9,9,92,29,89,77,4,5,18,38,2,14,3,116,36,0,110,16,65,48,99,19,11,14,48,16,20,7,62,16,36,62,48,9,197,41,38,10,173,136,23,19,54,24,107,31,32,101,95,53,134,23,182,2,69,80,70,38,52,31,69,12,31,12,1,34,30,13,26,11,34,91,52,39,132,75,70,53,87,22,189,119,73,30,165,137,109,114,67,98,5,35,139,15,15,123,64,7,18,22,142,8,180,74,124,81,64,29,78,75,106,99,33,12,76,1,185,43,5,59,11,17,22,192,14,51,44,55,6,8,92,12,2,37,43,77,16,64,87,117,32,21,154,14,54,12,23,144,54,38,40,82,6,71,81,5,158,42,13,18,61,43,96,88,96,0,25,12,3,68,50,9,28,46,79,1,44,57,40,105,179,158,4,21,76,26,5,6,3,27,9,12,72,16,154,25,61,166,38,51,64,82,137,19,106,49,39,98,0,14,54,135,4,3,31,10,316,20,27,118,105,59,258,46,56,134,93,23,15,49,1,28,67,12,12,76,1,76,56,139,58,101,247,93,123,65,4,44,32,90,34,148,63,49,67,97,38,24,60,22,90,26,89,190,114,119,9,23,33,67,19,274,107,159,57,7,26,67,2,109,72,0,40,20,208,55,230,17,45,22,248,45,11,164,10,4,77,10,107,104,1,65,60,57,316,66,5,97,172,97,54,79,20,46,24,120,31,118,153,8,5,13,151,196,15,27,186,87,37,47,17,4,138,68,17,291,132,159,8,2,36,65,4,81,4,36,72,57,6,86,3,62,122,22,52,41,129,1,138,220,5,22,5,359,26,14,184,130,133,35,211,25,24,173,26,368,210,351,17,39,48,99,17,42,141,13,103,22,164,38,18,122,104,130,139,84,220,173,42,25,52,137,127,82,8,7,9,81,4,59,101,202,134,63,23,79,22,139,53,30,126,263,212,48,112,4,100,63,41,11,50,74,17,97,262,20,35,37,114,134,429,113,27,96,8,100,46,38,24,8,228,130,63,23,204,68,258,32,168,51,7,172,97,1,99,6,192,35,158,56,224,7,259,256,1,144,25,3,156,155,37,42,11,195,175,169,82,149,273,5,232,97,17,47,61,99,43,3,22,9,95,3,139,120,301,146,129,360,30,61,45}

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Returns: 1139398
{0,1,2,3,2,5,6,7,8,9,10,11,11,13,9,15,15,16,14,13,12,19,17,21,24,20,26,23,25,15,29,29,14,32,34,31,31,31,32,33,38,40,39,40,19,28,23,30,41,38,45,50,36,24,46,35,47,45,56,30,32,42,55,49,64,55,57,57,52,69,61,50,67,33,41,71,68,62,78,56,59,77,77,67,64,69,57,84,31,68,90,71,83,86,59,95,96,92,97,53,65,68,76,97,72,102,106,69,83,89,57,104,101,104,64,114,86,73,102,62,92,72,112,107,77,95,105,90,111,116,105,108,31,71,132,118,133,127,135,129,112,94,100,132,119,143,84,75,136,145,81,150,141,148,122,125,112,105,141,126,112,118,146,130,104,156,122,109,167,141,158,87,125,90,109,124,106,115,152,158,159,164,147,169,181,124,118,178,176,160,179,183,139,122,90,157,195,184,121,171,159,189,183,107,192,179,198,188,168,208,201,125,172,192,146,177,174,187,217,202,178,173,209,220,187,223,226,181,186,206,203,144,209,155,203,184,174,236,200,239,227,164,91,230,209,200,230,139,153,165,243,238,183,237,203,196,230,110,200,234,222,251,215,231,207,241,234,77,263,265,224,265,112,267,252,262,178,223,222,231,270,281,269,278,267,165,189,142,174,221,249,178,288,93,182,294,224,280,297,272,279,164,198,230,87,251,270,298,268,267,262,248,231,252,267,277,129,236,265,306,282,215,281,257,323,197,287,297,229,294,327,206,207,333,315}

{242,314,547,672,1067,1344,1456,1818,2560,2962,3084,3408,4138,4446,4523,4596,5169,5602,6047,7020,7110,7404,7671,8001,8188,8708,8714,8943,9658,9687,9942,10121,10349,10555,10600,10735,11139,11392,11557,11659,12045,12351,13243,13305,13502,13542,13801,13899,13977,14909,15293,15951,15955,16277,16291,16420,16762,16846,16860,17027,17161,17352,17950,18229,18427,18502,18526,18632,18682,19679,19743,19755,20756,20927,20981,21420,21544,21588,22081,22287,22875,24248,25068,25435,25629,25898,26739,26847,26963,26990,27098,27117,27120,27179,27234,27513,27691,27968,27990,30224,30224,30472,30497,30539,31023,32106,32252,32309,32549,32798,32960,34189,34276,34483,34535,34848,34980,35019,35220,36087,36095,36097,36218,36266,36464,36697,36717,36813,36898,37249,37261,37635,38146,38189,38522,38524,38715,38972,39868,40690,41301,41838,42474,42491,42695,42877,42891,43925,44215,44347,44631,45049,45502,45548,45712,45834,45875,45906,45965,46093,46237,46455,46476,46852,46857,46908,47122,47823,47833,48035,48357,48557,49552,50668,50866,51146,51714,51734,52823,53173,54516,54720,55537,55975,55977,56151,56672,56866,57011,57082,57918,58436,58549,58728,59563,59846,60006,60471,60570,60801,61201,61445,61623,61789,61930,62325,62813,62834,62848,62892,63379,63755,63825,63897,63955,65006,65175,65494,65800,65838,65883,66068,66071,66143,66198,66233,66289,66479,66696,67132,67458,67561,67964,68231,68287,69259,69720,70265,70552,70897,71044,71279,71301,71321,71541,72300,72812,73098,73202,73621,73725,74140,74248,74428,74452,74455,74522,74572,74955,74978,75482,75568,75599,75957,76071,76237,77383,77534,77614,77675,78386,78397,78537,78625,78688,78739,79012,80084,81227,81800,82149,82217,82251,82610,82636,82860,83008,83623,84374,84479,84776,84960,85199,85526,85731,85964,86304,86653,86753,86809,88272,88563,88806,88873,88988,89784,90163,90512,91125,91348,91504,91718,92354,92415,93686,93690,93759,93978,94025,94778,95571,95642,95906,95916,96330,96592,96602,96841,97696,97810,97941,98108,98302,98456,98992,99135}

Returns: 424276
{0,1,1,3,4,5,5,6,8,8,10,7,10,12,13,14,15,15,17,18,14,19,22,13,23,15,25,16,26,29,28,30,32,29,16,34,28,30,38,38,36,40,36,35,43,37,42,31,28,43,43,39,41,49,49,52,47,33,56,53,52,30,61,62,61,53,45,62,64,63,60,71,58,69,67,58,70,29,74,78,54,69,73,76,66,64,82,75,79,83,90,85,77,80,85,82,65,97,86,93,91,89,92,99,94,78,93,103,85,96,107,104,54,75,104,97,101,109,112,82,109,114,95,121,106,101,87,124,108,125,102,87,126,121,121,132,133,121,136,126,135,135,142,78,135,114,133,142,132,140,117,150,118,128,116,152,86,82,148,137,154,158,160,161,139,160,160,135,119,152,147,113,149,159,101,173,169,167,100,171,164,180,166,162,128,115,176,165,186,100,167,180,139,192,194,158,185,166,178,167,195,153,191,144,186,188,197,169,203,161,202,139,175,201,192,96,214,136,197,184,209,197,213,197,220,166,172,174,213,229,210,207,194,226,159,206,187,205,209,203,233,205,190,192,200,225,237,226,114,237,229,228,245,226,141,235,225,190,255,256,245,212,235,72,247,212,246,198,246,245,205,185,271,226,262,274,267,270,264,248,165,187,255,264,230,112,222,213,271,287,260,289,264,196,219,258,282,247,298,281,272,258,190,296,217,192,222,241,282,258,239,298,242,294,268,310,175,301,313,304,247,311,230,285,315,200,255,190,282,307,248,189,329,303,254,265,271,295,241,247,312,285,321,289,278,224,344,237,305,347,346,279,320,331,330,263,340,332}

{351,679,1148,1190,1552,1614,2231,2417,2494,2669,3130,3181,3358,3755,3840,4312,4681,4808,5013,5685,5961,6227,6407,6544,6966,7085,7153,7471,7519,7536,7564,9140,9243,9601,9660,9813,10023,10317,10631,10786,11197,11797,11917,12665,13047,13306,13416,13718,13802,15136,15235,15238,15399,15754,15846,16069,16527,16666,16912,17283,17359,17516,17726,17958,18247,18662,19029,19284,19430,19533,19555,19588,20001,20685,20772,21215,21389,21919,22071,23077,23434,24623,24959,25039,25140,25237,25261,25861,26875,26972,27270,27399,28120,28624,29119,29328,29715,29724,29830,29935,29971,30442,30555,31153,31247,31414,31577,32271,32863,33252,33543,33662,34226,35013,35212,35356,36510,36577,37022,37394,37554,38151,38260,38314,38336,38519,38697,38794,39056,39248,39524,39558,39599,40084,40122,40588,40822,41589,42110,42181,42729,43172,43558,43925,43984,44096,44192,44292,44459,44888,45114,45276,45443,45621,45832,46564,46614,46890,47313,47380,47399,47690,47937,48161,48212,48476,48515,49040,49770,50241,50306,50460,50481,51212,51285,51531,51868,52367,52632,52657,52817,52917,53213,53275,53663,53859,54625,54790,54978,54994,55049,55334,55363,55405,55430,55714,55781,55814,56729,57134,57228,57772,57868,57892,58206,58517,58544,58776,58922,58981,59422,59519,59520,60179,60191,60867,61139,61201,61328,61466,61488,61602,62017,62341,62374,62379,62406,62538,62815,62826,62876,63183,64127,64761,65119,65447,65536,65650,67210,67638,67851,67947,68074,68186,68984,69246,69331,69335,69611,69648,70070,70154,70451,70847,71030,71104,71155,71327,71557,71678,71923,72042,72066,72339,72503,72762,72791,73083,73375,73591,73764,73998,74029,74404,74720,75233,76544,76556,76630,76772,76900,77049,77397,77652,78642,79117,79510,79554,79712,79883,80051,80091,80182,80464,80571,80736,81013,81786,81918,83157,83517,83585,83589,83693,84161,84629,85470,85607,85681,85691,86001,86262,86584,86801,86817,87763,87846,88154,88286,88476,88581,88764,88792,88920,89165,89186,90226,90273,90370,90415,90579,90927,91040,91046,91209,91960,92015,92049,92143,92252,92500,92558,92804,93057,93179,93530,93914,94504,95129,95566,95711,96055,96794,97067,97249,97272,98100,98368,98465}

Returns: 427959
{0,0,0,0,0,0,0,0,0,2,3,0,0,3,1,1,2,0,0,1,3,3,1,5,2,2,0,0,8,0,5,0,0,5,6,3,0,4,0,4,0,4,3,5,3,3,5,1,2,0,5,3,2,3,8,0,11,1,13,7,1,25,9,0,8,0,5,0,5,9,1,2,7,0,0,5,4,6,3,0,19,16,3,13,21,18,8,16,5,13,6,15,3,5,15,1,16,17,42,6,12,11,6,3,5,12,9,28,6,10,7,2,8,2,14,2,3,0,8,3,20,11,7,13,2,1,44,13,4,21,27,22,16,1,18,2,1,11,7,13,12,37,4,7,19,13,5,55,19,0,18,1,17,0,0,0,10,3,16,14,13,0,42,3,10,13,17,16,26,41,39,0,33,38,7,11,4,5,3,32,19,23,2,25,11,13,19,7,13,5,15,12,10,3,8,32,2,4,1,23,9,17,23,9,32,32,37,5,8,51,26,17,0,35,1,30,8,4,4,45,11,26,4,4,23,18,54,5,10,18,20,89,39,2,37,14,12,51,101,5,2,14,35,0,7,5,3,13,93,29,36,5,2,3,5,41,9,28,10,11,73,12,40,48,47,31,0,8,71,25,33,0,34,1,7,27,15,30,51,7,8,19,19,49,27,93,30,4,13,15,43,2,5,46,27,90,23,16,5,3,11,4,18,19,3,11,41,19,6,8,28,14,17,14,6,10,4,6,59,3,22,69,117,4,21,16,7,2,96,11,40,28,2,59,93,0,6,12,26,18,1,40,21,10,21,20,3,7,2,43,26,33,2,4,41,70,6,4,9,2,16,3,21,53,6,4,28,1,17,9,34,0,24,67,87,3,18,80,31,3,13,0,4,33,34,60,33,25,92,116,8,50,36,51,7,11,53,0,4,14,94,39,5,23,27,13,2,58,24,50,1,53,30,99,44,2,39,66,4,12,22,75,1,16,7,71,93,15,31,110,7,10,21,33,58,100,8,71,145,3,20,4,74,31,38,4,14,19,73,23,70,55,25,21,15,64,1,38,16,61,13,29,11,29,0,26,130,63,11,2,112,23,63,1,45,21,57,81,77,61,10,117,27,27,147,16,38,23,39,25,51,49,32,3,33,31,89,57,49,7,119,127,9,37,89,5,45,120,0,33,119,20,67,12,113,24,2,3,63,3,23,19,19,17,0,65,5,33,0,168,11,4,12,53,9,10,14,45,54,41,32,79,11,11,60,69,43,30,118,21,74,24,42,57,0,10,9,3,107,32,13,4,9,63,129,13,57,2,33,12,58,74,24,8,3,112,33,59,3,19,6,56,45,13,3,132,113,6,65,8,21,14,2,33,21,79,126,67,29,60,19,222,2,132,21,56,6,43,55,42,90,7,35,36,5,45,48,24,181,42,122,64,129,0,5,85,1,47,27,34,28,89,24,87,35,37,127,21,107,39,0,243,11,2,21,96,218,85,15,0,196,95,40,87,80,37,15,260,52,66,15,121,0,9,94,60,0,22,39,45,49,25,15,107,110,56,23,47,15,70,9,42,28,162,16,6,100,21,30,43,101,67,29,53,86,9,17,14,8,14,5,73,77,10,173,12,136,309,127,12,38,20,98,78,64}

{39,219,230,581,730,905,1122,1238,1348,1625,2034,2139,2176,2328,2470,2768,2777,2780,2866,2941,3411,3548,4233,4349,4491,4617,4655,4681,5139,5327,5815,6663,6774,6906,6945,7072,7354,7602,7874,8019,8120,8407,8437,8442,8961,9050,9142,9223,9281,9656,9674,9787,9921,9969,10160,10167,10369,10930,11043,11406,11504,11671,12026,12136,12462,12594,12601,12660,12697,12770,12807,12944,12989,13012,13055,13082,13230,13788,13883,13884,14077,14258,14385,14444,14616,14660,14945,14970,15068,15250,15312,15382,15599,15892,16593,16807,17144,17343,17413,17446,17789,18194,18360,18627,18792,18806,18888,18978,18981,19453,19592,19601,19623,19832,19858,19965,20159,20335,20383,20647,20651,20689,20691,20730,20811,20923,21132,21336,21409,21433,21483,21627,21894,22125,22392,22799,22836,23065,23376,23422,23473,23643,23700,23918,24011,24156,24266,24273,24379,24443,24780,24818,24847,24874,24882,24986,24997,25175,25304,25369,25393,25648,26547,26592,26632,26996,27058,27156,27191,27420,28153,28361,28396,28781,28800,29046,29070,29082,29094,29520,29528,29537,29911,30008,30052,30096,30131,30250,30444,30503,30521,30528,30615,31638,31640,31666,31668,31737,31749,31777,31778,31791,31796,31816,31825,31910,31988,32020,32088,32263,32266,32433,32475,32507,32534,32615,32663,32780,32885,33154,33192,33712,33767,34006,34080,34440,34477,34548,34681,34689,34693,35110,35378,35553,35600,35612,35703,35796,35824,35869,35871,35933,36116,36172,36301,36313,36484,36696,36758,36885,36888,36961,37630,37704,37718,37868,37940,37941,37976,38162,38323,38399,38405,38606,38659,38661,38715,38983,39059,39372,39373,39510,39551,39724,39753,39763,40096,40192,40248,40260,40339,40907,40971,41001,41064,41073,41108,41194,41216,41243,41387,41550,41689,41966,41973,41974,42031,42078,42211,42237,42287,42564,42587,42805,42824,42883,42897,42981,43030,43262,43376,43854,43880,44186,44437,44592,44607,44693,44985,45290,45360,45380,45619,46015,46124,46230,46569,46575,46624,46694,46737,46867,46897,47308,47352,47421,47428,47488,47520,47615,47709,47796,47815,47840,47896,48313,48380,48552,48559,48595,48611,48715,48746,48969,49240,49487,49712,49719,49723,49971,50193,50213,50381,50437,50465,50595,50670,51162,51552,51844,51977,52056,52364,52390,52480,52723,52749,52790,52990,53192,53203,53219,53294,53365,53407,53558,53630,53855,54087,54463,54488,54846,55220,55359,55458,55537,55663,56025,56126,56210,56216,56237,56401,56559,56573,56680,57190,57204,57313,57399,57410,57506,57860,57995,58030,58241,58615,58721,58826,58990,59244,59372,59490,59580,59786,59932,59949,60242,60244,60280,60645,61080,61139,61371,61414,61421,61483,61520,61699,61722,61735,61785,61837,61849,62260,62425,62503,62590,62816,62853,62966,63207,63328,63423,63449,63455,63748,63929,64150,64252,64331,64622,64746,65156,65224,65239,65258,65268,65331,65540,65598,65729,65830,65864,66028,66116,66174,66230,66307,66530,66891,66929,66936,66983,67047,67133,67137,67169,67257,67360,67423,67552,67798,67805,67817,67920,67956,68411,68489,68605,68993,69025,69075,69311,69396,69762,69880,69910,69993,70035,70065,70160,70315,70399,70670,70739,70997,71142,71165,71297,71370,71399,71509,71567,71696,71790,72124,72209,72249,72303,72367,72435,72480,72787,72818,72923,72995,73201,73229,73529,73835,73857,74013,74073,74168,74168,74701,75173,76110,76294,76334,76351,76397,76625,76884,77104,77199,77269,77381,77384,77546,77706,77770,77819,77996,78036,78080,78299,78450,78455,78543,78636,78829,79068,79240,79868,80017,80092,80100,80204,80236,80425,80559,80630,80709,80787,80822,81077,81331,81363,81597,81626,81631,81674,81704,81737,81743,81831,81922,81964,82508,82562,82632,82761,82770,83340,83402,83475,83673,83848,83970,84082,84292,84371,84388,84521,84750,84787,84849,84945,85170,85493,85800,85841,85915,86169,86343,86816,86932,86950,87532,87693,87707,87844,87848,88178,88226,88267,88346,88363,88471,88680,88756,88771,88833,88930,88934,88963,89005,89079,89119,89209,89371,89576,89736,89775,90011,90359,91110,91433,91529,91564,91620,91738,92269,92342,92378,92479,92865,93109,93478,93748,93798,93851,94363,94418,94464,94610,94657,95261,95489,95512,95604,95863,96267,96625,96693,96927,97143,97182,97296,97406,97525,97596,97631,97704,97758,97842,97875,97952,97997,98080,98133,98186,98254,98693,98757,98825,98854,98991,99134,99151,99400,99725,99782,99845}

Returns: 1505635
{0,1,0,2,2,2,4,6,1,5,5,11,12,0,12,9,11,15,18,6,1,13,21,9,5,9,22,7,8,23,20,18,0,14,14,1,1,15,29,24,16,34,18,28,40,18,15,39,12,47,3,14,1,0,46,10,15,9,34,51,3,55,17,40,11,43,35,47,12,37,28,6,4,72,20,50,1,74,19,50,77,40,38,62,20,35,81,2,62,60,27,84,40,90,74,39,67,95,90,60,58,68,8,78,71,54,30,24,94,20,110,54,21,4,47,44,6,82,92,37,7,92,78,11,48,84,103,33,128,7,57,96,116,110,61,46,47,30,5,115,59,26,88,59,74,87,89,105,13,47,85,25,74,137,1,128,80,139,61,44,101,82,35,17,35,50,10,18,111,15,3,115,70,14,22,114,53,133,96,164,78,10,63,78,55,109,123,102,5,132,176,111,114,95,94,65,190,32,17,103,172,66,70,97,172,162,37,122,164,1,1,194,2,25,107,182,170,17,18,217,219,177,123,192,205,177,188,58,180,186,120,4,66,161,184,105,218,219,3,218,69,111,238,180,60,90,111,154,65,70,160,223,188,18,165,42,142,257,160,244,220,247,124,59,14,9,3,146,17,18,157,10,186,173,180,10,264,238,179,30,103,268,123,235,176,117,172,273,144,27,202,248,110,198,229,63,286,39,31,6,81,66,291,241,48,184,233,291,149,193,239,242,189,39,144,127,289,262,272,120,43,37,104,100,145,312,277,56,226,236,97,50,226,163,16,103,67,128,46,49,38,237,83,163,59,282,328,206,27,274,75,296,304,71,132,70,343,82,280,81,70,292,359,101,155,35,158,71,306,196,203,74,261,145,344,337,370,356,11,154,74,305,136,302,364,311,297,346,370,124,268,223,169,102,6,20,279,222,228,392,40,18,303,47,232,336,27,128,404,206,251,312,275,112,259,306,272,96,75,207,34,248,128,338,100,247,52,404,50,75,93,328,357,197,355,80,297,319,267,247,319,10,211,279,82,257,35,262,267,153,435,110,193,159,381,246,245,451,341,11,114,341,20,55,265,100,321,16,459,194,266,124,51,113,335,204,446,196,362,72,171,280,175,121,238,253,36,141,371,347,489,475,246,245,293,152,448,161,3,493,43,53,404,160,248,10,137,330,29,191,117,495,179,112,478,220,247,265,365,275,265,292,491,156,92,192,217,342,456,98,90,318,93,241,3,335,521,305,507,405,189,448,205,176,512,454,132,381,447,215,519,43,278,409,43,522,452,228,265,123,405,419,374,288,64,166,499,44,527,482,226,164,132,549,250,323,459,42,479,250,533,167,216,410,433,521,68,552,447,318,498,454,570,508,368,309,520,422,389,469,500,156,371,189,573,86,162,375,314,395,227,106,129,24,21,598,576,257,597,313,13,307,356,541,317,559,390,558,96,170,485,342,194,378,321,3,17,340,581,525,312,370,92,365,263,67,510,234,117,23,646,170,217,26,575,235,154,422,528,621,199,399,596,395,275,139,517,374,665,595,241,626,671,461,473,381,12,477,613,417,611,405,365,518,336,312,373,0,476,279,91,606,306,94,90,412,147,313,51,228,224,473,426,310,427,244,583,619,90,166,646,242,706,83,464,171,679,165,420,285,69,276,1,609,634,103,330,598,408,253,267,141,467,294,673,77,554,362,532,496,308,679,515,658,210,97,84,488,472,30,117,122,433,220,27,201,547,12,376,534,127,427,427,177,148,163,285,579,478,651,345,410,327,541,661,327,151,166,536,710,26,752,561,270,512,189,125,339,654,633,373,403,710,432,312,459,450,584,530,257,209,344,502,518,64,335,235,256,539,654,501,331,448,761,357,75,808,693,750,241,738,795,355,288,257,819,459,473,502,124,93,122,783,251,306,216,391,151,54,617,285,235,325,657,46,408,737,484,314,523,32,484,766,376,613,347,416,445,65,127,571,483,834,447,667,487,410,331,732,44,423,428,854,198,631,802,639,591,741,119,833,487,226,38,613,781,616,362,40,531,844,420,29,502,837,411,507,537,787,656,820,832,421,148,137,38}

{256,425,544,769,860,1135,1484,1667,2041,2069,2104,2112,2127,2138,2367,2433,2462,2601,2615,2657,2711,2796,2816,3101,3107,3254,3288,3430,3471,3559,3590,3618,3677,3847,3854,3927,4004,4235,4256,4287,4307,4442,4458,4508,4539,4540,4576,4611,4620,4855,5051,5067,5173,5245,5269,5569,5600,5651,5727,5867,5927,5992,5998,6215,6392,6445,6527,6527,6553,6656,6810,7041,7069,7150,7208,7233,7510,7517,7616,7765,7899,8008,8263,8372,8409,8593,8630,8655,8736,8789,8863,8903,9027,9362,9805,9928,9992,10300,10417,10525,10659,10828,11022,11438,11575,11661,12037,12063,12089,12114,12125,12255,12294,12301,12420,12511,12535,12538,12754,12765,12769,13335,13421,13782,13835,13836,13865,13993,14172,14227,14321,14363,14387,14511,14687,14816,14868,15289,15444,15637,15719,15766,15827,15848,15908,16268,16310,16396,16749,16859,17020,17235,17552,17664,17702,17747,17899,18060,18067,18227,18318,18456,18806,18853,18963,19107,19197,19270,19346,19369,19381,19464,19546,19569,19629,19663,19846,20084,20121,20170,20271,20273,20384,20548,20590,20663,20943,20959,20979,21087,21132,21162,21299,21338,21377,21472,21827,22063,22071,22187,22190,22392,22427,22514,22590,22599,22648,22767,22843,22846,22937,23050,23080,23149,23167,23350,23412,23521,23608,23781,23948,23951,24270,24367,24637,24715,24725,24906,25145,25269,25376,25462,25519,25620,25638,25742,25747,25793,25824,25830,25875,25984,26024,26035,26222,26223,26439,26445,26538,26988,27204,27334,27499,27605,27658,27719,27858,28439,28538,29269,29272,29442,29486,29499,29520,29632,29648,29759,29845,29901,29903,30011,30069,30099,30151,30460,30492,30492,30533,30719,30732,30814,30865,31182,31319,31595,31608,31756,32234,32236,32379,32491,32982,33100,33111,33165,33328,33350,33388,33411,33493,33700,34100,34189,34244,34337,34483,34517,34594,34608,34633,34666,34849,34977,34999,35586,35594,35672,35783,35935,36035,36413,36464,36623,36991,37003,37143,37159,37443,37652,37662,37718,37744,37919,38151,38155,38261,38281,38348,38590,38782,39040,39211,39240,39240,39310,39371,39407,39443,39502,39557,39628,39702,39716,39736,39955,40054,40058,40152,40295,40453,40557,40635,40695,40753,40845,40856,40937,41130,41447,41467,41537,41590,41637,41667,41743,41981,42024,42051,42102,42133,42204,42450,42463,42584,42740,43062,43148,43271,43524,43593,43720,43842,43931,44264,44388,44445,44502,44582,44755,44778,44900,44904,44908,44999,45047,45476,45523,45628,45755,45840,45849,45910,45958,45969,46103,46219,46475,46571,46599,46655,46702,46739,46903,46910,46945,47055,47205,47641,47753,48060,48069,48076,48181,48194,48378,48396,48744,49179,49312,49388,49476,49770,49822,49897,49902,49988,50063,50213,50277,50280,50295,50443,50521,50563,50582,50837,50841,50984,51126,51166,51225,51354,51452,51495,51783,51795,51997,52197,52234,52241,52248,52528,52608,52644,52782,52904,53031,53075,53540,53707,53783,53827,53883,53886,53895,53994,54089,54397,54428,54519,54550,54692,54726,54906,55294,55360,55467,55514,55568,55788,56017,56043,56125,56245,56272,56291,56346,56575,56594,56595,56651,56734,56769,57076,57368,57375,57392,57596,57637,57705,57724,57789,57817,57897,58066,58086,58109,58280,58535,58614,58980,59176,59240,59284,59421,59568,59913,59958,60072,60093,60390,60419,60499,60949,60955,61160,61356,61387,61466,61721,61763,61799,61816,61835,61918,61996,62124,62329,62600,62699,62801,62826,62845,63219,63304,63740,63965,64033,64140,64436,64503,64591,64672,64711,64818,64932,65090,65233,65245,65296,65371,65408,65876,66183,66404,66477,66750,66761,66853,67036,67051,67289,67550,67785,67861,67869,67995,68289,68310,68323,68419,68663,68738,68763,69190,69351,69492,69623,69643,69683,69700,69757,69869,70046,70063,70142,70255,70297,70471,70547,70596,70616,70667,70853,70886,70932,71011,71162,71299,71395,71420,71488,71550,71579,71765,71776,71808,72011,72151,72185,72247,72332,72441,72803,72888,73067,73158,73232,73255,73420,73430,73548,73624,73791,73870,74024,74053,74164,74557,74557,74743,74804,74863,74890,74970,75153,75351,75366,75418,75452,75503,75713,75813,76077,76133,76205,76224,76245,76348,76456,76503,76518,76568,76771,77070,77176,77312,77491,77680,77844,77879,78177,78461,78511,78521,78574,78628,78701,78847,79040,79450,79798,79818,79829,79833,79849,80268,80319,80360,80361,80382,80406,80421,80589,80623,80745,80828,80908,81554,81675,81715,81720,81759,81906,82019,82023,82072,82140,82326,82328,82359,82377,82520,82556,82694,82853,83046,83129,83133,83478,83566,83581,83734,83771,83971,84019,84135,84170,84319,84392,84642,84646,84799,84806,84836,85012,85048,85087,85132,85157,85186,85213,85305,85440,85459,85615,85658,85850,85983,86044,86226,86366,86567,86568,86611,86634,86788,86811,86868,87042,87134,87195,87239,87283,87408,87489,87583,87608,87786,88139,88500,88597,88699,88757,88789,88817,88872,89009,89179,89315,89412,89480,89625,89810,89821,89855,89868,89992,90035,90094,90315,90339,90383,90494,90673,90721,90926,90973,91032,91388,91427,91453,91569,91655,91979,92010,92475,92519,92521,92582,92629,92689,92710,92774,92933,93071,93107,93169,93399,93482,93513,93615,93709,93739,94021,94031,94172,94204,94377,94699,94923,94949,94962,94999,95087,95092,95097,95116,95228,95244,95296,95341,95543,95629,95646,95755,95772,95868,95883,96566,96590,96592,96765,96836,96971,97004,97022,97237,97309,97420,97444,97504,97568,97936,98112,98125,98281,98305,98416,98456,98784,98799,98825,98949,99005,99035,99106,99372,99471,99508,99595,99596,99811,99840,99850,99972}

Returns: 358556
{0,0,0,1,1,0,1,2,1,1,3,1,2,2,0,0,1,3,0,11,2,5,4,4,8,8,12}

{5795,7558,9390,14024,14224,21252,22794,27464,32880,34587,38294,41409,50509,51088,59528,60773,64072,65346,66852,73650,79628,79925,80517,83259,89918,90343,97861,98368}

Returns: 259234
{0,0,0,0,0,1,0,2,4,3,2,0,4,0,0,1,1,2,3,0,3,8,2,1,5,0,0,8,9,16,0,5,6,5,5,0,4,2,16,2,2,8,27,2,0,0,0,13,6,9,25,8,3,9,3,17,23,1,9,2,0,12,7,6,10,21,1,32,43,4,6,2,4,6,2,14,36,22,10,2,19,0,16,15,20,7,10,9,7,0,27,21,2,23,21,69,20,24,1,13,42,15,6,8,34,13,0,49,2,40,24,15,15,19,0,25,0,15,41,11,5,12,0,42,17,25,40,7,20,42,34,12,94,26,5,40,5,38,20,6,25,46,40,3,15,2,28,103,11,33,29,64,7,0,4,30,9,8,21,10,23,16,89,102,77,42,19,30,26,23,1,22,43,13,65,24,22,19,17,28,56,30,8,149,6,15,73,1,64,22,42,38,10,70,31,30,1,6,19,11,77,35,52,27,2,15,43,25,5,116,14,90,19,30,54,7,101,31,10,41,48,4,96,50,36,47,22,145,9,62,27,134,22,19,129,6,34,78,68,48,15,43,6,84,22,43,38,80,25,7,78,2,112,34,5,147,67,13,14,70,28,84,1,78,23,5,84,31,196,83,10,3,5,134,105,34,8,7,27,74,141,33,57,16,48,19,40,8,22,9,25,26,36,13,55,0,2,50,175,28,35,24,72,9,14,27,41,11,15,77,10,114,21,6,8,149,20,45,179,51,50,134,98,87,2,101,97,14,163,21,47,10,193,100,106,19,24,74,46,23,42,28,90,46,4,0,1,80,116,15,21,64,12,14,16,132,78,78,27,21,47,0,22,18,41,110,92,36,167,19,98,107,12,10,99,105,92,56,70,11,12,5,137,55,199,22,9,220,113,3,101,56,186,96,77,85,63,71,18,64,82,18,64,100,139,40,21,122,74,67,34,22,127,14,68,53,51,200,100,64,36,60,166,85,150,61,27,67,210,199,191,54,14,43,30,66,36,85,6,47,171,100,126,222,207,21,3,9,123,199,6,73,10,64,17,18,123,135,46,251,124,2,3,236,169,187,10,273,277,48,188,197,121,174,6,140,164,15,49,85,91,88,119,46,113,197,7,123,21,67,2,84,21,4,177,20,35,4,49,31,7,8,12,11,141,272,85,75,56,335,106,29,43,87,85,70,117,2,13,346,50,381,19,31,188,27,64,183,89,96,52,110,56,0,39,76,33,250,62,41,144,33,15,50,203,117,94,118,229,53,40,18,12,3,7,118,52,41,113,97,46,46,34,81,353,248,59,109,251,98,84,370,108,393,22,38,255,5,241,269,143,127,181,108,65,113,165,274,149,108,133,183,10,235,125,312,10,52,43,112,8,25,2,119,308,9,223,57,171,210,30,55,185,29,143,12,106,223,59,258,162,88,227,225,38,104,290,24,45,16,44,54,264,39,9,9,33,76,36,78,158,247,223,173,76,137,260,84,35,13,74,41}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,13,13,14,14,14,14,15,15,15,15,16,17,17,17,17,17,17,18,18,19,19,20,21,22,22,22,22,23,24,24,24,24,24,25,25,25,26,26,26,26,27,28,29,29,30,30,31,31,32,32,33,33,34,36,37,37,37,37,38,38,38,38,38,40,40,41,42,42,43,43,43,45,48,49,52,53,53,54,56,57,57,57,58,58,58,59,60,60,61,62,62,64,65,66,67,69,69,70,72,73,74,74,76,77,78,80,82,82,83,84,86,86,86,88,89,94,95,99,100,104,105,106,107,110,112,112,113,115,121,127,131,132,137,138,142,143,144,144,145,147,152,160,165,165,168,169,170,172,176,180,192,195,195,196,197,200,201,203,204,205,209,211,213,215,221,225,229,232,243,250,256,266,270,275,276,280,286,292,295,300,307,313,316,318,320,329,337,338,339,350,355,356,374,383,385,409,410,411,419,420,421,427,429,455,483,486,492,493,541,546,553,584,589,625,630,664,695,700,706,726,734,749,765,768,790,796,813,832,835,843,895,914,937,959,983,1002,1029,1060,1088,1095,1096,1122,1138,1147,1156,1221,1237,1239,1251,1280,1300,1329,1407,1445,1455,1468,1482,1502,1522,1562,1594,1620,1624,1673,1693,1727,1756,1757,1778,1818,1839,1857,1879,1889,1938,1979,1998,2018,2077,2162,2179,2187,2192,2214,2279,2322,2323,2334,2391,2413,2454,2468,2496,2544,2549,2643,2737,2812,2956,2974,2996,3010,3080,3251,3376,3453,3502,3528,3571,3620,3653,3674,3679,3829,3890,3969,3978,4001,4084,4113,4142,4168,4374,4381,4473,4732,4780,4843,4861,5015,5040,5211,5275,5445,5463,5499,5668,5760,5994,6002,6183,6255,6320,6377,6386,6491,6931,7516,7564,7710,7792,7942,8067,8171,8554,8655,8739,8789,8992,9165,9285,9574,9592,9631,9919,10289,10354,10511,10601,10639,10817,10822,10837,11201,11799,12175,12317,12495,12652,12670,12726,12793,13023,13122,13356,13721,14001,14177,14278,14401,14817,15310,15334,15868,16090,16187,16227,16236,16305,17282,17413,17504,18021,18282,18984,19054,19058,19099,19226,19387,19680,20091,20686,20808,20819,21466,21795,22291,22626,23861,24165,24584,25630,26229,27066,27506,28644,28860,29123,29197,29636,30020,30618,30965,31434,32510,32616,34678,35195,36780,36864,37605,37659,38667,38696,39353,39610,39988,40257,40653,43384,43823,45885,46487,46668,47062,47610,52111,52634,52681,54182,54636,55191,57531,57584,59197,59901,61798,64066,65448,66880,66993,70911,73550,76169,76210,78503,81524,82663,82842,82931,83339,83346,83356,84556,85016,86689,88938,88980,90727,92835,93201,93809,94125,97073,97121,97333,98593,99315,99520}

Returns: 217233
{0,0,1,0,2,0,6,2,2,3,4,1,8,1,3,6,2,0,1,5,14,14,8,9,10,4,14,4,22,2,4,6,3,18,31,7,0,3,9,3,2,11,2,12,30,27,6,10,37,0,28,46,14,33,15,13,2,30,14,3,25,41,13,38,18,6,25,32,0,25,3,44,7,24,57,16,52,25,4,4,65,54,1,7,57,41,40,30,41,63,12,37,37,72,5,4,46,21,59,13,19,31,42,20,43,38,54,75,20,11,9,8,15,40,45,1,65,67,9,19,75,45,25,18,37,5,18,10,2,6,84,95,83,76,32,23,42,73,0,6,17,10,21,98,90,14,58,91,68,32,10,50,24,104,66,30,66,49,56,55,15,59,37,23,18,63,127,84,81,45,117,3,9,104,41,146,34,19,31,11,106,5,37,15,4,172,113,46,64,54,144,115,91,16,43,105,130,62,145,5,65,142,190,13,110,23,115,98,20,106,25,14,54,73,38,8,3,71,106,131,133,71,142,25,118,35,4,29,32,161,173,97,197,82,63,2,134,96,17,58,16,78,167,78,155,80,102,85,120,59,200,64,173,90,83,155,13,76,214,177,155,120,234,10,100,110,101,55,61,54,124,16,249,121,164,129,148,78,6,81,185,100,215,104,122,37,85,58,163,11,84,58,274,41,211,52,202,21,48,176,178,167,154,73,151,30,76}

{12,754,1219,1670,1973,2102,2176,2625,2638,2700,2936,3461,3594,4186,4737,5364,5741,6314,6455,6654,6725,7749,7758,7879,8227,8805,8813,9060,9213,9309,9342,9843,9961,10106,10412,10579,11203,11237,11268,11637,11777,12048,12113,12185,13569,13704,13912,14252,14674,15000,15556,15673,15776,15883,15909,16071,16491,16743,16812,17274,17306,17764,18097,18470,18751,18826,18844,19032,19099,19549,19917,20213,20967,21181,21446,21529,21767,21825,22334,23247,23379,23526,23760,24195,24568,25021,25476,25645,26060,26081,26413,26916,26962,27951,28260,28693,28861,29850,29979,30291,30532,30874,30900,31136,31152,31232,31317,31319,31873,31909,32280,32461,32579,32900,33211,33642,33683,34404,34505,35124,35424,35608,36072,36175,37272,37548,38091,39052,39198,39262,39520,39670,39776,40328,40560,40715,41287,41842,42147,42471,43106,44013,44221,44462,45042,46439,46510,46833,46991,46993,47129,47802,47981,48887,49059,49174,49700,49783,49886,50207,50632,50843,51727,51985,52507,52571,52715,53240,53350,53398,54321,54540,54612,54855,56058,56732,57452,57736,57903,57915,57936,59389,59615,59987,60064,60343,60517,61024,61353,61401,61632,61637,61643,62031,62351,62606,62649,62757,62763,62955,63388,63700,63733,64002,64496,64748,65312,65432,65447,65677,66296,66296,66695,66769,66843,67054,67337,68560,68619,68621,68658,69022,69143,69697,70910,71234,71845,72242,72449,72709,72711,72731,73270,73275,73871,74299,74570,74891,74906,75360,76729,76754,77793,78228,78599,78804,79226,79232,79569,80330,80331,81026,81348,81408,81430,83333,83356,83400,84465,84792,84834,85011,85481,85702,85817,85992,86307,86492,86583,86596,86989,87162,87164,87445,87586,87590,88660,88889,89146,89522,89946,90521,91253,92018,92084,92277,92277,92295,92656,92762,92764,93284,93826,93864,94064,94934,96062,97069,97273,97307,98160,98888,99122,99402,99596,99682,99922,99934}

Returns: 326856
{0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,3,2,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,3,2,3,2,4,3,0,4,10,11,0,10,1,3,7,0,4,6,10,0,0,1,9,6,0,3,15,3,5,5,0,4,9,11,0,1,5,5,8,14,2,14,9,5,10,12,3,8,23,4,5,3,10,1,22,2,26,6,3,5,44,9,4,5,5,6,22,0,7,6,2,13,4,10,12,6,13,0,5,2,14,9,18,4,1,13,9,4,6,8,3,6,3,8,30,29,42,20,19,6,3,10,28,4,9,3,36,8,50,9,29,13,17,10,2,19,2,3,6,50,12,8,25,6,41,40,12,24,2,9,9,9,17,7,6,9,9,18,2,22,38,2,1,10,15,9,37,15,0,5,3,0,13,6,0,1,42,22,7,11,1,31,9,11,11,13,17,37,9,17,7,74,26,24,10,25,22,21,25,34,1,29,10,7,44,13,7,13,18,36,12,3,5,28,8,18,40,16,11,14,1,8,54,20,18,7,7,19,27,39,3,1,27,32,10,64,9,15,1,2,20,26,35,7,14,2,3,5,7,22,35,42,28,33,46,50,7,10,68,33,0,31,22,2,8,14,14,20,8,13,24,53,34,27,43,142,28,16,8,2,35,91,8,74,32,71,19,55,145,23,0,101,33,28,51,38,22,0,35,14,6,72,34,58,9,10,7,9,52,1,1,27,17,60,56,8,6,4,61,5,36,22,7,168,161,12,56,0,2,36,13,11,20,3,53,18,4,77,24,10,13,4,0,42,0,2,15,1,56,9,46,1,10,54,11,13,35,56,36,2,7,17,47,26,16,13,16,68,54,9,39,62,31,13,36,38,159,5,17,90,23,30,42,29,0,42,2,87,81,0,21,79,16,36,79,65,13,14,11,17,21,7,80,20,65,5,130,130,30,10,104,51,36,23,74,5,13,11,60,34,16,5,84,7,18,106,99,81,0,0,89,4,123,63,17,3,97,114,115,54,32,22,66,43,40,16,32,6,14,68,5,8,19,13,32,19,83,18,7,92,64,21,101,4,18,8,57,10,7,7,19,32,15,74,8,105,15,7,20,9,7,9,5,7,7,15,29,11,65,20,40,81,93,37,4,17,16,88,19,61,1,1,79,8,6,54,2,74,4,65,39,10,9,143,64,160,97,61,73,24,83,11,85,7,10,2,19,6,0,8,13,32,79,100,1,72,142,28,51,83,169,10,14,201,115,23,17,142,151,49,138,11,93,14,95,16,9,38,52,51,25,20,21,3,5,2,5,6,38,173,16,19,10,32,18,60,67}

{280,295,519,817,900,1012,1365,1436,1523,1546,1555,1566,2121,2404,2445,2881,2981,3423,3483,3488,3896,4051,4057,4462,4501,4566,4680,4749,4882,5066,5683,5712,5740,5820,6652,7385,7634,7993,8031,8303,8447,8479,8540,8599,8652,8775,8936,9364,10052,10115,10184,10406,10630,10934,11368,11504,11541,11554,11705,11746,11771,11813,11970,11983,12027,12041,12076,12248,12323,12446,13270,13321,13323,13416,13472,13500,13709,14169,14206,14276,14358,14969,15127,15348,15891,15970,16001,16173,16223,16270,16284,16339,16434,16444,16678,16714,16727,16831,17376,17449,18069,18072,18142,18195,18237,18468,18568,18896,19094,19183,19592,20107,20158,20188,20518,20874,21284,21398,21798,21854,22076,22077,22085,22195,22217,22434,22656,23005,23318,23365,23622,23724,24090,24283,24448,24612,24788,24945,25036,25595,25848,25934,26355,26416,26660,26748,27041,27570,27677,27989,27993,28312,28591,28625,29017,29300,29496,29499,29577,29585,29601,29602,29664,29730,30361,30618,30634,30863,30981,31162,31483,31490,31599,31938,32109,32293,32647,32919,32950,33076,33099,33560,33919,33963,34174,34221,34485,34640,34761,35012,35022,35264,35824,35854,36054,36084,36199,36677,36699,36922,36987,37067,37563,37611,37625,37852,37852,38117,38212,38288,38431,38855,38883,39023,39198,39248,39269,40083,40284,40762,40903,41042,41234,41296,41365,41406,41480,41757,41841,42043,42208,42218,42489,42826,42941,43005,43111,43254,43496,43515,43716,43726,43735,43765,43773,44004,44290,44903,44905,44986,45303,45326,45579,45622,45834,45862,45942,46088,46427,46435,46473,46690,46977,47025,47030,47132,47389,47651,47726,48188,48312,48416,48421,48517,49091,49122,49449,49603,49766,49848,49876,49955,49982,50036,50349,50873,50890,50935,51293,51403,51553,51775,51789,51980,52021,52065,52268,52333,52505,52637,52657,52658,53279,53331,53353,53354,53410,53484,53486,53550,53666,53796,53979,54057,54071,54173,54410,54487,54583,54739,54882,55022,55042,55048,55057,55065,55129,55388,55611,55659,55661,55742,55759,55820,56022,56085,56845,56990,57048,57481,57486,57614,57728,58195,58237,58263,58293,58356,58457,58558,58598,58891,58912,58968,59842,59966,60538,61056,61287,61819,61847,61866,61924,62061,62433,62794,62977,63199,63407,63732,63964,64083,64237,64550,64662,64726,64909,65073,65288,65304,65345,65469,65778,66184,66199,66407,66428,66472,66784,66851,66940,66967,67233,67616,67658,67778,67828,67850,67857,67857,67922,67973,68232,68370,68470,68642,68860,68894,68982,69197,69256,69284,69764,69865,69982,70174,70211,70346,70460,70477,70671,70750,70769,70954,71077,71303,71479,71881,72196,72612,73122,73442,73612,73693,74124,74160,74375,74493,74526,74677,74842,75010,75235,75242,75410,75696,75726,75778,76167,76193,76359,76634,77031,77086,77100,77397,77844,77868,78415,78719,78832,78885,78992,79206,79414,79498,79929,79945,80013,80059,80570,80649,80731,80777,80939,81122,81554,81951,82307,82726,82942,83409,83488,83490,83597,83835,84203,84205,84499,84509,84555,84563,84623,84954,85083,85098,85258,85319,85412,85525,85556,85641,85755,86072,86327,86649,87214,87472,87495,87508,87618,87761,87819,87820,88076,88277,88308,88370,88603,88803,88949,89264,89342,89362,89447,90005,90015,90055,90194,90601,90649,90749,90862,91040,91111,91201,91319,91410,91467,91491,91513,91637,92016,92293,92375,92556,92589,92876,92900,93013,93094,93338,93534,93780,93820,93992,94527,94546,94565,94616,94680,95379,95480,95769,95994,96817,96874,96998,97035,97062,97227,97380,97529,97835,97993,98170,98468,98644,98849,98936,99149,99156,99289,99307,99339,99505,99539,99646,99824,99921}

Returns: 1438925
{0,1,0,3,3,5,6,7,8,5,10,10,9,12,13,12,13,14,17,18,17,18,22,23,22,13,25,21,24,27,22,27,31,33,28,29,24,30,37,31,40,31,42,40,33,25,34,44,23,25,43,44,33,48,53,51,51,46,40,38,54,33,56,49,57,61,59,66,65,62,62,58,41,57,70,54,43,64,63,62,64,55,30,55,73,76,77,58,64,87,82,86,89,90,65,86,92,66,97,98,41,98,72,78,65,98,80,103,97,94,83,110,81,72,82,51,85,89,112,93,69,108,108,113,121,80,90,102,101,116,91,108,129,74,88,111,93,95,123,138,119,89,97,121,143,145,139,84,89,119,86,149,150,132,117,127,134,87,157,87,148,143,150,154,132,136,110,161,166,151,153,78,146,143,166,154,111,147,93,139,103,176,147,152,179,79,144,145,177,125,182,117,185,82,127,125,176,186,172,177,186,174,171,161,191,123,193,147,157,192,199,113,209,181,140,182,108,214,118,175,215,183,153,177,170,225,166,210,223,201,95,91,189,135,231,223,226,132,227,136,233,138,215,149,231,243,85,236,147,203,250,205,89,175,183,253,233,254,246,244,220,191,262,243,236,179,199,229,254,232,203,192,140,193,239,223,263,252,246,261,115,137,268,180,239,109,255,211,246,283,252,260,265,260,259,132,274,138,226,171,174,226,295,193,240,281,204,306,220,263,137,259,196,281,237,305,239,264,151,307,311,281,266,261,322,297,162,227,239,315,275,300,179,245,334,317,215,279,301,311,268,241,311,323,203,282,308,334,252,312,300,302,136,339,256,313,314,329,221,249,296,162,348,268,324,273,267,358,360,302,272,197,276,299,274,371,281,313,273,329,355,357,366,281,227,235,208,292,351,366,154,300,273,201,226,331,289,298,350,372,361,192,313,265,391,266,367,219,321,303,375,365,231,407,349,411,278,354,388,402,397,389,209,317,153,254,406,370,381,382,425,334,316,229,379,390,431,208,384,361,373,292,432,212,437,433,423,291,285,406,414,423,450,360,220,350,363,260,337,304,293,173,387,261,377,263,454,409,392,365,332,435,267,356,459,383,336,426,386,475,429,476,357,403,451,366,429,479,399,399,241,403,316,361,261,310,460,122,357,455,475,377,496,501,389,396,428,424,486,339,427,418,349,236,477,310,446,197,355,517,421,519,474,346,445,472,483,509,445,494,437,404,398,525,266,390,471,529,382,516,520,452,375,519,398,545,443,513,516,468,353,446,397,377,390,377,555,557,191,406,446,442,438,492,325,376,489,518,544,551,332,494,444,511,544,446,524,411,526,570,559,403,433,579,512,416,561,580,557,440,558,506,521,378,540,474,532,482,277,505,364,263,596,517,527,561,520,550,474,359,291,573,488,545,440,569,384,485,457,601,372,393,578,459,465,392,598,559,432,510,537,570,596,534,587,356,591,566,445,565,607,630,589,643,540,607,609,603,447,250,456,561,534,508,641,441,579,466,658,372,630,359,607,374,525,482,578,455,506,494,632,435,517,591,500,527,671,646,678,551,666,660,643,468,632,533,588,485,607,661,603,606,687,408,513,400,638,590,494,618,473,693,469,326,569,410,643,559,658,672,580,627,686,500,651,540,403,679,150,565,668,628,699,608,623,602,690,358,656,643,638,389,482,686,340,485,693,706,594,481,581,700,536,499,630,657,410,711,620,672,655,261,506,383,750,728,596,652,547,675,598,674,704,479,494,649,585,737,611,579,446,536,742,676,629,586,657,635,719,235,747,357,690,687,654,651,500,758,439}

{172,350,506,579,592,601,724,824,1146,1166,1218,1282,1609,1707,1720,1845,1944,2076,2080,2192,2308,2351,2355,2410,2442,2538,2625,2635,2693,2850,2880,2978,3027,3162,3291,3395,3621,3658,3702,3888,3899,3982,4020,4146,4151,4528,4599,4621,4668,4721,4785,4802,4841,4862,5039,5065,5524,5620,5892,5916,5941,6030,6268,6515,6749,6808,6989,7057,7078,7111,7309,7319,7409,7446,7457,7551,7579,7744,7829,7836,7908,8138,8347,8375,8442,8598,8655,8736,8829,8937,9008,9041,9069,9116,9171,9209,9307,9385,9655,9734,9780,9807,9808,10032,10100,10360,10395,10508,10606,10748,10755,11082,11104,11283,11359,11394,11417,11737,11952,12141,12167,12178,12295,12364,12447,12473,12663,12799,13045,13251,13410,13510,13710,13742,13753,13824,13916,14002,14040,14049,14060,14084,14108,14301,14308,14626,14659,14660,14680,14801,14994,15160,15269,15718,15872,15905,16075,16386,16739,16828,16868,16882,17198,17267,17327,17512,17860,17885,17958,18099,18264,18521,18750,18909,19059,19343,19508,19535,19538,19606,19731,19987,20162,20269,20422,20458,20531,20820,20945,21393,21563,21737,21805,22117,22144,22149,22452,22459,22545,22736,22758,22777,22891,23063,23256,23296,23376,23379,23450,23696,23860,23908,23918,24144,24194,24338,24488,24519,24637,24743,24786,25007,25274,25434,25561,25564,25565,25642,26023,26223,26237,26336,26641,26692,26694,26774,26851,26910,27032,27357,27370,27385,27594,27610,27648,28100,28118,28206,28275,28540,28650,28908,28955,29202,29377,29583,29623,29762,29764,29767,29876,30096,30407,30565,30611,30837,30855,31385,31426,31434,31526,31616,31652,31712,31756,32001,32085,32214,32352,32429,32587,32671,32821,32829,33094,33193,33439,33613,33828,34086,34388,34619,34740,34810,34820,34832,34847,34851,35050,35060,35177,35181,35193,35262,35596,35756,35785,36036,36077,36338,36624,36777,36841,36895,36988,37024,37305,37308,37515,37696,37703,37708,37758,38044,38091,38127,38167,38251,38549,38565,38608,38700,38885,38950,39192,39993,40095,40109,40227,41006,41027,41070,41111,41554,41629,41789,41968,42009,42047,42415,42502,42602,42641,42717,43227,43337,43516,43573,43787,43851,43874,43934,44293,44409,44731,44807,44910,44982,45084,45161,45235,45293,45311,45902,46304,46322,46471,46517,46539,46579,46653,46825,46911,47042,47051,47056,47082,47100,47183,47229,47398,47432,47461,47476,47571,47586,47598,47792,47805,47874,47961,48051,48204,48233,48389,48414,48843,48982,49386,49507,49519,49725,49758,49776,49876,49910,50256,50476,50550,50565,50630,50722,50771,50822,50834,51098,51180,51211,51246,51398,51513,51657,51849,52100,52240,52258,52303,52564,52632,52804,52811,53010,53053,53060,53089,53098,53225,53230,53305,53311,53331,53462,54078,54183,54263,54320,54392,54396,54851,55000,55243,55263,55417,55576,55909,55939,55990,56344,56352,56445,56462,56632,56927,56986,56991,57084,57150,57282,57319,57469,57584,57753,57809,57820,58018,58090,58142,58445,58447,58564,58703,59080,59180,59313,59373,59634,59678,60022,60090,60505,60517,61421,61722,61839,62141,62295,62370,62438,62855,63138,63202,63372,63379,63476,63640,63994,64038,64127,64200,64603,64607,64691,64783,65022,65119,65258,65327,65463,65550,65749,65941,65950,65970,66036,66050,66106,66368,66422,66423,66777,66928,66995,67132,67148,67148,67311,67334,67439,67726,68069,68080,68203,68205,68249,68318,68386,68390,68470,68481,68524,68830,68851,69198,69390,69512,69523,69639,70162,70435,70614,70672,70696,70714,70722,70777,70863,71043,71098,71265,71316,71317,71428,71455,71469,71512,71579,71598,71637,71685,71841,71926,71964,72055,72457,72533,72555,72566,72605,72686,72758,72761,72772,73460,73499,73597,73683,73754,73762,73784,74297,74403,74637,74700,74747,74777,74854,74870,74904,75351,75360,75380,75465,75686,75755,75866,76236,76532,76536,76542,76583,76686,76761,76851,76959,77011,77112,77306,77326,77494,77605,77616,77785,77794,77849,77876,78179,78249,78410,78482,78726,78732,78924,79193,79228,79399,79759,79773,79857,80000,80110,80437,80618,80853,80893,81573,81737,81946,82557,82630,82645,82858,82955,83052,83222,83454,83695,83759,83907,83928,84108,84169,84182,84414,84494,84896,85019,85477,85502,85766,85918,85971,86393,86422,86456,87096,87127,87138,87198,87242,87316,87509,87639,87660,87708,87795,87946,87970,88223,88493,88584,88789,89021,89220,89257,89399,89820,89888,90137,90165,90166,90187,90279,90281,90504,90518,90610,91035,91036,91527,91563,92017,92326,92336,92367,92634,92977,93355,93421,93464,93633,93640,93680,93786,93895,93926,94185,94254,94365,94509,94655,94689,94818,94850,95443,95517,95782,95817,95825,96077,96176,96341,96456,96625,96639,96858,96878,97263,97323,97382,97871,97987,98006,98126,98310,98485,98541,98638,98737,98865,99004,99147,99245,99272,99440,99506,99618,99762,99794,99941,99955}

Returns: 463080
{0,0,0,0,1,0,1,2,0,0,2,7,0,1,0,1,3,0,1,5,0,3,1,1,0,0,2,6,1,8,2,13,0,0,0,5,3,0,20,4,3,0,11,6,6,13,6,2,5,11,1,19,6,1,13,10,11,6,4,5,18,2,25,8,22,3,0,2,13,5,2,5,11,5,5,27,7,0,1,1,8,6,2,2,19,4,1,8,2,6,5,13,5,11,52,2,7,39,13,3,17,19,8,6,20,17,10,3,16,9,4,11,8,39,6,2,15,22,5,30,32,22,5,12,5,4,44,50,33,7,19,18,0,4,14,21,81,11,4,52,6,64,9,0,35,10,15,18,13,14,13,4,22,13,17,24,3,24,15,2,9,16,12,16,12,54,35,28,14,37,81,0,30,54,35,18,12,8,14,1,11,5,71,40,6,0,7,71,19,69,6,35,12,47,11,36,32,59,42,18,12,63,11,8,9,13,15,1,20,33,8,7,8,53,6,107,98,13,27,36,82,9,43,6,37,4,15,13,15,10,42,21,59,22,52,71,93,17,126,72,1,47,41,30,14,38,15,63,21,43,48,37,88,28,3,62,82,129,13,1,23,47,6,29,9,30,11,3,0,2,9,77,22,73,11,14,4,49,53,8,43,68,21,13,53,21,36,61,18,124,41,2,19,38,77,85,12,72,13,12,28,91,26,0,53,94,28,54,71,57,63,91,69,129,124,30,13,34,36,46,64,10,143,11,22,14,13,35,1,57,12,54,23,11,0,78,5,7,1,7,8,19,95,41,15,83,93,30,38,23,2,16,44,114,22,6,28,2,10,29,28,31,58,125,186,14,47,8,39,105,37,7,4,71,56,178,152,108,9,61,156,66,9,7,202,60,22,105,128,105,17,1,141,68,74,31,5,20,7,137,27,115,119,12,9,115,117,8,34,39,100,7,4,153,47,22,124,23,61,38,18,128,140,138,78,71,77,1,25,65,66,84,56,73,36,6,35,73,44,176,83,58,24,49,65,5,88,29,0,10,47,20}

{81,127,233,556,636,657,1273,1508,1988,2150,2177,2400,2595,3435,3628,3979,4192,4437,4683,4743,4824,4940,4957,5328,5380,5532,5665,5724,5835,6437,7082,7341,7685,7718,7725,7841,8070,8153,8547,8689,8867,9062,9288,9804,9915,10208,10247,10567,11008,11026,11434,11679,11694,11780,11811,12034,12227,12272,12337,12407,12788,12947,13444,13681,13736,14486,14735,15171,15365,15593,15667,16040,16562,16588,16648,16675,16687,16744,16869,17230,17505,17514,17578,17703,17759,17984,18051,18157,18180,18340,18628,18793,19076,19389,19552,20416,20760,20820,20919,21252,21676,22082,22207,22344,22470,22514,22529,22745,22920,23316,23473,23532,23765,23839,24001,24203,24364,24738,24969,25357,25570,25616,25818,25932,26368,26408,27001,27315,27484,27530,27566,27705,27948,29177,29421,29844,30104,30191,30571,31421,32030,32226,32540,32606,32966,33489,33635,33903,33981,34293,34784,34962,35029,35488,35677,35766,35841,35933,36350,36773,36953,37104,37503,37755,37940,38110,38153,38213,38502,38605,38621,38741,38995,39045,39824,39962,40441,40639,40665,40853,40965,41319,41480,41702,41747,41817,42097,42155,42553,42758,43000,43126,43338,43843,43869,43945,44131,44133,44173,44273,44412,44745,44930,45458,45773,46325,46512,46592,46688,47114,47203,47312,48201,48443,48661,48678,49232,49265,49667,49902,50073,50277,50349,50827,50886,51564,51998,52322,52842,53351,53425,53551,54201,54246,54526,54720,55559,55610,55856,55980,56108,56265,56328,56360,57063,57097,57130,57522,57549,57551,57637,57657,57970,58134,58190,58549,58785,59437,59931,60165,60339,60801,60977,61111,61280,61609,61646,61706,61958,62130,62175,62224,62385,62706,62746,62796,62853,62873,63034,63199,63834,63888,64320,64585,64905,65165,65197,65408,65436,65845,65956,65958,66270,66281,66356,66547,66734,66863,66906,66915,66967,67052,67112,67150,67713,68030,68254,68267,68780,68861,68926,69061,69362,69804,70022,70269,70391,70410,70444,70563,70655,70693,70808,71100,72527,72651,73029,73036,73252,73592,73688,74119,74171,74229,74305,74436,74998,75254,75536,75941,76069,76135,76224,76272,76586,76740,77450,77711,78718,78877,79087,79118,79228,79416,79548,79566,79660,80152,80208,80409,80875,81696,82000,82160,82192,82240,82310,82501,82578,82730,83778,83899,84011,84015,84017,84025,84148,84202,84527,84734,84892,84968,85105,85110,85129,85272,85853,85868,86099,86102,86118,86172,86306,86330,86726,87066,87382,87411,87411,87576,87877,87995,88026,88064,88089,88204,88237,88657,88991,89021,89052,89487,89503,89771,90130,90132,90521,90709,91004,91117,91255,91288,91741,92003,92116,92478,92998,93193,93272,93335,93366,93500,93651,94171,94936,95447,95542,95646,95956,96313,96514,96978,97084,97311,97330,97466,97968,98912,98991,99110,99279,99505,99848}

Returns: 678706
{0,1,2,3,4,5,6,7,7,9,9,10,12,13,13,14,16,16,17,17,20,21,22,19,23,25,25,27,28,28,23,24,24,32,34,35,36,35,38,38,40,38,40,36,41,41,46,43,48,30,50}

{585,1943,2818,5504,8868,11495,11551,17157,30597,30710,30943,33064,33804,35456,38284,41799,42427,43422,44401,45977,46522,48901,49575,53312,53452,54117,55880,56343,56954,57180,57418,59487,60302,61962,62877,63423,65830,66148,71218,71389,73267,75049,77863,81174,81594,87438,90916,91737,92146,93064,95533,97088}

Returns: 293737
{0,0,0,0,0,1,1,0,0,1,0,3,5,1,1,0,2,1,9,0,1,2,0,0,7,6,1,0,11,1,9,2,1,11,6,8,5,11,14,0,0,4,2,1,0,7,3,0,2,0,0,7,12,21,10,2,1,6,11,32,6,3,1,10,15,11,19,2,18,11,14,6,0,4,8,0,1,3,20,10,1,3,8,0,7}

{975,4407,4789,9125,9526,10929,10979,11841,13302,13313,15726,20829,21147,22031,27447,29472,29588,31155,32376,32630,32921,34404,34539,34964,35990,36192,36282,36972,37076,37243,37376,37561,39500,39781,40673,42324,42332,42715,44727,45822,47155,50069,51704,53792,55012,58054,60260,61161,61280,62811,64028,65060,66590,66978,68092,68191,69056,69463,70587,71107,74480,74871,75606,75968,76828,79691,80283,81770,84386,84649,84936,86969,87358,89312,90016,91379,92005,92675,93841,94379,94507,94719,94919,95079,98141,98910}

Returns: 882838
{0,0,0,0,0,0,0,2,2,1,0,1,3,0,1,0,2,1,0,2,0,1,5,3,7,4,3,3,11,1,6,1,7,6,8,2,2,15,4,9,0,5,1,4,3,1,8,8,12,0,12,14,8,8,3,4,7,5,1,1,7,26,5,20,39,32,4,21,11,4,22,16,6,27,20,5,16,10,3,24,22,6,8,4,4,8,1,7,47,39,34,15,1,3,7,16,2,5,12,0,5,11,25,10,5,23,22,4,19,59,53,5,2,14,30,13,7,5,51,21,5,2,1,51,17,24,9,1,1,22,32,27,21,6,5,16,30,19,16,25,10,34,16,0,60,8,51,63,26,54,22,31,7,20,42,9,14,5,27,40,6,22,37,13,43,45,1,64,2,22,4,110,23,75,0,32,34,35,21,12,28,10,1,42,47,26,18,47,16,6,18,6,16,23,43,73,7,42,26,4,53,44,28,35,1,43,45,74,31,36,41,10,15,28,57,78,18,4,19,7,3,45,4,0,14,49,75,44,69,6,39,0,28,14,1,10,53,16,17,17,69,36,43,12,29,49,9,0,10,34,58,25,117,67,30,21,17,47,16,11,15,45,33,17,11,17,17,22,15,140,5,50,10,121,55,3,66,17,134,3,6,2,22,58,59,31,122,2,10,59,93,163,43,45,28,86,36,62,13,71,14,17,58,13,8,90,41,123,117,120,63,36,46,0,35,1,137,28,12,29,51,28,16,61,41,3,56,16,73,9,11,37,0,75,24,8,78,74,46,3,85,42,14,89,77,31,109,130,3,24,6,166,9,10,16,65,22,1,105,9,90,38,78,106,19,73,117,126,56,31,76,100,66,53,178,27,47,6,26,105,32,61,37,94,0,8,1,41,11,79,9,155,15,17,50,68,2,168,71,90,79,67,43,24,18,74,74,85,93,54,21,2,50,127,103,100,38,82,27,152,12,70,155,65,148,14,1,149,195,67,19,43,205,10,42,38,21,39,12,19,22,55,59,35,62,67,20,91,112,149,14,32,131,27,246,92,80,77,32,12,48,28,85,77,10,22,83,66,54,42,96,43,86,6,10,5,9,12,126,0,63,9,181,33,133,1,35,34,111,43,1,103,185,114,83,66,286,2,69,4,58,29,63,1,169,25,73,126,16,90,153,40,73,40,53,16,150,108,122,29,35,20,83,14,88,0,92,87,188,181,82,35,269,11,225,26,145,25,6,213,46,40,11,4,34,2,135,89,17,36,0,31,28,0,4,19,13,154,99,0,121,34,39,160,3,13,47,15,40,18,176,203,47,127,71,90,142,123,184,223,20,44,24,79,117,19,148,27,214,47,16,143,49,38,9,124,52,123,81,21,5,7,184,58,47,216,250,86,87,75,225,246,76,56,23,152,241,5,175,125,66,9,6,150,57,110,41,110,119,53,23,80,3,38,22,119}

{89,127,182,371,389,494,526,569,979,1188,1455,1727,1880,1921,2135,2157,2167,2238,2438,2919,2920,2932,2968,3012,3169,3201,3703,3709,3926,4396,4838,4840,4843,5620,5631,5679,5744,5935,5944,6172,6239,6287,6597,7306,7426,7668,7737,7974,8281,8881,9116,9430,9538,9561,9766,9981,9986,10223,10347,10642,10688,10712,10831,10862,10912,10965,11433,11502,11515,12164,12245,12724,12909,13306,13347,13824,13863,14367,14652,14852,15222,15476,15615,15635,15690,15817,15834,15903,15969,16363,16838,16873,16898,17773,18209,18389,18397,18848,19077,19234,19287,19895,19948,20021,20058,20091,20148,20152,20181,20183,20496,20887,21009,21188,21544,22116,22527,22677,22811,23086,23316,23753,23789,24190,24474,25061,25362,25367,25378,25555,25626,25864,26043,26136,26428,26564,26651,26708,26775,26910,26978,27237,27353,27388,27482,27686,27822,28118,28372,28399,28604,28764,29427,29511,29681,29735,29946,30001,30083,30246,30271,30340,30402,30404,30411,30653,30676,30697,30782,31003,31111,31136,31248,31249,31316,31337,31432,31950,31973,32162,32220,32430,32546,32941,32995,33020,33034,33068,33320,33425,33445,33604,34204,34538,34538,34808,34899,34918,35239,35332,35370,35588,35825,35836,35848,35962,35977,36217,36363,36429,36537,36572,36682,36744,36766,36955,37003,37042,37438,37489,37621,37852,37867,38054,38217,38244,38605,38709,39058,39101,39540,39823,39828,40025,40033,40071,40079,40119,40699,40711,40772,41130,41258,41283,41565,41605,41745,41773,42111,42132,42267,42357,42489,42493,42587,42615,42658,42708,42753,42811,42863,42927,43260,43332,43493,44078,44169,44261,44332,44347,44451,44625,44677,44680,44811,45121,45611,46059,46174,46177,46324,46660,46992,47151,47157,47333,47471,47598,47684,47745,48025,48061,48061,48141,48317,48463,48523,48593,48700,48770,48806,48876,48906,49228,49256,49294,49375,49405,49546,49585,49934,50054,50141,50181,50550,50656,50771,50833,50837,50999,51176,51243,51405,52093,52188,52449,52586,52692,52700,52778,53115,53361,53448,53674,53895,54170,54191,54618,54775,54818,55066,55592,55624,55722,55869,55906,56057,56067,56074,56151,56153,56183,56206,56381,56727,56974,57066,57273,57362,57881,57919,57951,58212,58309,58548,58642,58677,58711,58800,58976,59099,59530,59637,59878,59989,60325,60772,60845,61306,61498,61621,61708,62075,62120,62170,62387,62661,62739,62945,62973,62982,63640,63675,63678,63979,64039,64049,64159,64289,64722,64792,64814,64841,64942,65376,65397,65405,65517,65631,65747,65802,65832,65890,65963,65992,66196,66260,66477,66663,67099,67128,67136,67654,67724,67754,68263,68333,68467,68488,68502,68725,69062,69164,69199,69242,69268,69277,69413,69460,69519,69617,69696,69869,69958,70016,70171,70338,70480,70490,70541,70601,70656,70771,70805,70821,70869,70873,70904,70943,71178,71202,71288,71325,71458,71622,71712,72009,72025,72262,72277,72842,73074,73103,73345,73487,73501,73585,73862,73888,73937,73950,74232,74262,74296,74298,74317,74409,74470,74578,74604,74682,74792,74794,74806,74942,75084,75405,75547,75641,75750,75856,75980,76061,76153,76349,76735,76877,76955,77027,77060,77275,77436,77562,77612,77711,78100,78257,78648,78709,78734,79108,79185,79580,79589,79591,79621,80294,80403,80970,81029,81032,81112,81304,81578,81845,81886,82142,82227,82229,82407,82645,82730,82817,83154,83372,83522,83765,83807,83846,83908,83917,84129,84374,84417,84575,85127,85268,85340,85466,85552,85654,85813,86235,86317,86673,87164,87366,87487,87941,88115,88269,88494,88642,88802,88889,89414,89480,89601,89624,90413,91022,91147,91215,91285,91958,91990,92043,92156,92268,92332,92362,92421,92528,92729,92850,92884,93164,93755,93977,94031,94192,94361,94862,95165,95269,95365,95489,95500,95692,95780,95886,96428,96628,97025,97031,97092,97129,97220,97659,97746,97755,98052,98115,98225,98254,98658,98755,98758,98864,98866,99026,99218,99519,99615,99697,99709,99728}

Returns: 803505
{0,1,0,1,4,5,2,1,3,6,2,5,8,2,14,1,12,5,16,1,5,5,5,0,19,22,11,11,8,26,9,19,12,30,14,9,31,35,27,2,13,32,25,6,32,30,2,13,26,28,19,0,50,23,52,16,55,44,44,22,25,25,40,59,12,24,13,10,36,57,19,51,4,3,54,75,49,56,26,12,64,49,54,72,49,50,26,5,38,73,20,90,41,68,57,35,51,48,45,67,55,84,45,86,45,12,76,35,23,108,9,43,74,84,103,100,75,84,94,17,18,87,44,40,33,36,27,27,51,62,101,51,31,3,26,130,93,93,91,131,118,82,26,43,5,10,48,20,21,37,109,16,92,20,48,77,20,129,109,153,84,58,108,140,7,110,50,109,72,99,118,77,142,161,3,56,54,144,168,48,129,179,160,14,61,85,98,98,109,128,172,77,134,191,25,178,81,185,118,169,167,46,54,175,7,147,140,147,77,208,132,37,19,98,121,157,164,159,133,127,168,101,58,220,107,64,71,19,179,196,152,121,26,24,163,79,178,39,98,113,214,86,130,52,186,119,214,139,75,216,127,85,219,220,198,86,7,215,130,100,240,125,183,152,58,176,245,69,208,137,82,158,227,133,178,144,249,269,37,110,193,35,263,197,254,246,103,37,89,172,102,73,132,97,190,282,234,120,171,152,238,227,70,127,72,74,200,202,167,298,231,47,165,259,314,208,197,317,124,42,142,314,111,258,221,23,188,15,124,68,80,3,332,222,16,159,77,132,6,138,5,334,37,296,60,106,54,186,306,24,193,193,133,31,188,102,225,162,111,120,323,335,7,198,347,13,8,112,110,194,137,348,228,206,349,344,294,56}

{220,928,1287,1523,1712,2461,2481,2490,3363,3880,4173,4547,4599,4963,5196,5625,5801,6000,6105,6907,7725,8143,8688,8864,8927,9258,9353,10174,10534,11109,11224,11350,11554,11620,12044,12536,12992,13150,13891,13935,14069,14448,15050,15427,15581,15632,16717,17212,17310,17463,17559,17813,18007,18038,18077,18684,19023,19214,19245,19520,19694,20168,20375,20708,20772,21038,21093,21271,21489,21598,22232,22637,22670,23209,23335,23777,23878,23983,24070,24787,25199,25328,25347,25413,25637,25807,26114,26173,26368,26976,27433,27564,27597,27846,28049,28310,28313,29464,30104,30353,30369,30930,30963,31058,31301,31738,31873,32577,32776,33456,33497,34126,34175,34894,35176,35485,35618,35795,35975,36014,36176,36495,36592,37021,37222,37227,37316,37395,37563,38006,38064,38374,38536,38808,38927,39035,39547,39768,40093,40726,41463,41485,41533,41679,42231,42391,43133,43352,43501,43696,43702,43744,44038,44052,44118,44219,44386,44399,44448,44557,44675,45163,45420,45917,46041,46221,46540,46606,46749,47120,47301,47362,47515,47671,47707,47867,47877,47880,48045,48213,48765,49186,49354,49412,49604,49960,50029,50117,50227,50600,50701,50995,51025,51869,52011,52485,52490,53003,53248,53926,54704,54922,55209,55290,55746,55775,55799,56080,56653,56700,57175,57267,57565,57831,57979,58214,58224,58401,58588,59013,59023,59105,59130,59392,59445,59619,59742,60161,60203,60266,60398,61541,61552,61565,61693,62278,62387,63034,63044,63084,63875,64149,64408,64998,65307,65616,65643,66294,66362,66545,66768,67044,67478,67886,67980,68072,68475,68524,68808,68886,69093,69608,70033,70185,70573,70720,70780,71151,71361,71612,71994,72047,72264,72464,72503,72507,72550,72592,72677,72786,72965,73997,74336,74697,74812,75208,75843,77064,77080,77347,77370,77597,77645,77729,77781,77913,78122,78165,78266,78616,78731,78861,79338,80137,80553,80592,80802,80968,81000,81174,81415,81800,82046,82493,82675,82777,82816,82921,83066,83629,83681,83716,84275,84877,85141,85247,85405,85596,85795,86186,86234,86811,86829,87358,87907,88279,88364,88528,88673,90057,90486,90708,90767,90981,91340,91529,91537,91643,91879,92700,92868,92913,93499,93531,94061,94376,94895,95114,95230,95683,95828,95946,96213,96301,96584,96713,96868,96974,97081,98123,98256,98338,98390,98424,98574,98679,98925,99006,99787}

Returns: 355264
{0,1,2,3,4,4,6,7,8,9,10,11,10,13,14,15,16,17,18,16,20,20,22,20,20,20,26,22,28,27,30,31,32,32,32,35,33,29,30,39,39,40,38,42,38,33,46,39,43,38,47,46,48,49,48,51,48,47,52,41,48,59,54,57,60,55,59,51,66,65,65,64,68,69,72,72,68,64,78,64,59,75,75,80,75,85,74,73,71,89,87,75,92,92,67,87,75,84,97,99,88,97,89,94,101,101,95,99,97,109,101,111,97,106,105,102,97,108,113,117,115,117,116,98,112,117,124,112,126,112,129,98,111,132,132,128,88,136,137,114,122,138,139,131,137,118,144,137,141,123,137,122,123,145,153,152,149,138,147,136,142,161,145,143,151,157,165,147,110,128,169,153,162,134,169,160,168,171,168,174,168,162,171,160,184,115,179,164,153,166,185,161,189,187,189,157,196,192,184,182,196,197,200,180,156,189,204,201,198,184,197,207,206,194,200,212,182,186,185,185,211,209,180,204,182,194,195,215,215,227,211,210,192,218,219,203,235,192,217,202,217,236,228,229,237,242,245,189,195,233,168,174,235,231,225,253,208,241,249,227,243,236,216,238,228,242,256,252,257,200,252,256,265,213,237,275,267,271,275,242,275,272,227,261,221,276,201,265,252,279,283,270,260,248,236,295,292,273,292,272,289,300,294,296,281,276,242,269,306,284,295,248,299,276,275,197,299,225,304,310,307,318,293,223,281,284,279,314,324,312,316,313,330,282,277,320,328,304,293,337,339,318,336,329,322,316,333,329,277,316,346,329,337,333,314,331,285,355,337,322,353,359,358,318,351,355,281,282,329,360,353,351,370,367,312,317,349,362,358,328,379,366,334,355,382,349,366,373,331,331,310,328,388,374,387,392,374,385,352,392,378,388,382,372,305,386,378,403,388,400,387,405,348,304,364,385,395,377,371,400,401,407,419,377,408,388,396,410,357,405,349,427,393,381,372,378,366,428,362,351,381,433,310,367,355,404,426,430,447,428,440,445,441,372,354,342,454,419,403,424,397,416,449,408,416,379,341,435,463,428,463,398,472,355,473,473,470,349,393,384,400,428,454,417,473,450,478,419,485,480,405,452,350,430,453,494,460,451,493,461,459,475,499,497,502,454,461,433,484,494,480,477,411,443,469,492,509,449,427,475,514,481,390,456,480,521,443,469,477,405,530,492,476,519,466,529,512,510,524,384,493,485}

{15,238,502,512,709,860,925,978,1065,1282,1354,1572,2138,2283,2364,2365,2372,2466,2691,2714,2863,2886,3034,3061,3203,3260,3388,3519,3759,3873,4267,4294,4786,4921,5270,5321,5368,5442,5647,5727,5912,6346,6598,6638,6665,6739,7157,7332,7379,7446,7594,7615,7637,8055,8094,8420,8603,8848,9045,9175,9265,9444,9564,10485,10681,10741,10748,10871,10948,11371,11464,11653,11687,12043,12108,12212,12281,12344,12941,13036,13120,13175,13224,13662,13882,14003,14051,14060,14062,14286,14360,14845,14855,15275,15411,15468,15543,15552,15891,16135,16325,16861,17044,17185,17581,17774,17942,18158,18259,18358,18392,18680,18794,18799,19303,19334,19421,19464,19993,20544,20816,20834,21012,21176,21281,21281,21726,21852,22083,22217,22462,22940,23088,23943,23982,24266,24290,24430,24437,25141,25153,25167,25199,25230,25559,26151,26353,26606,26706,27374,27665,27982,28209,28448,28498,28927,29053,29065,29157,29457,29570,29803,29969,30354,31027,31119,31226,31419,31477,31920,32163,32232,32477,32676,33221,33449,33527,34015,34168,34207,34433,34675,35627,35663,36622,36810,36845,36890,36910,36932,36969,36995,37380,37409,37838,37912,38015,38250,38285,38361,38441,38637,38858,39014,39036,39238,39818,39989,40054,40066,40078,40150,40636,40821,40838,40965,41073,41357,41373,41473,41598,41798,42051,42103,42219,42270,42561,42663,42773,42796,42908,43063,43139,43396,43496,43509,43804,44428,44725,44759,44888,45336,45611,45897,45909,46072,46568,46634,46705,46744,47373,47499,47772,47966,48105,48331,48483,48527,48535,48712,49111,49179,49508,49598,50508,50626,50716,50728,50772,50794,50938,51035,51277,51323,51335,51384,51532,51712,52698,52883,52959,53498,54024,54026,54181,54181,54261,54452,54639,54688,54825,54889,54938,55219,55279,55697,55712,55861,55898,56214,56342,56457,56542,56627,56763,56811,56897,57231,57344,57493,57526,57566,58019,58156,58286,58665,58714,58757,59051,59707,59931,60074,60135,60409,60572,60641,60689,60968,61056,61211,61398,61425,61543,61578,62382,62422,62641,62684,62735,62743,62897,63063,63108,63400,63411,63504,63856,63892,63902,63999,64245,64255,64498,64578,64623,64702,64754,64961,65106,65525,65577,65712,66614,66640,66661,66822,66930,67033,67236,67742,67966,68119,68261,68504,68687,68763,69132,69334,69336,69601,69665,69894,69914,70009,70290,70300,70386,70457,70717,71146,71270,71341,71369,71370,71410,71527,71560,71576,71599,71605,71769,71919,72154,72378,72535,73024,73142,73321,73611,73820,73882,73908,74358,74489,74643,74659,74721,74921,75182,75236,75351,75771,75809,76460,76638,76919,77145,77237,77456,77458,77656,77958,78138,78204,78425,78981,79112,79192,79325,79500,79526,79534,79829,79903,80021,80406,80444,80646,81434,81567,81737,81779,82106,82225,82331,82825,82893,82986,83081,83227,83329,83587,84121,84375,84380,84480,84765,84912,84963,85015,85037,85134,85151,85595,85716,86178,86282,86402,86515,86719,86740,86934,87442,87532,87592,87686,88011,88073,88093,88591,89014,89044,89160,89271,89316,89412,89598,89722,89965,90050,90149,90537,90665,91540,91611,91700,91708,91785,92094,92126,92684,92690,92701,92773,92884,93530,93691,93779,93810,93877,94057,94068,94172,94508,94814,95053,95452,95938,96597,96763,97286,97333,97590,97669,97778,97927,98520,98602,98917,98921,99362,99603,99744}

Returns: 494337
{0,0,0,1,0,0,0,0,0,0,1,3,0,2,0,1,0,4,1,0,3,0,3,0,3,6,7,9,0,7,7,1,2,1,2,3,7,1,0,2,0,17,3,0,1,4,13,7,14,4,1,1,0,2,5,14,2,0,4,2,1,2,3,0,8,6,5,7,12,9,3,5,2,0,5,0,1,7,0,5,2,5,10,1,21,14,17,1,12,8,8,29,22,16,0,12,3,13,6,3,7,7,9,1,10,11,3,7,11,17,5,8,1,28,16,0,16,9,4,9,0,7,1,4,1,5,25,17,7,2,20,44,10,16,13,11,5,37,13,40,36,21,11,18,12,4,7,4,0,32,1,11,17,6,18,2,5,33,5,2,10,1,13,17,35,4,3,3,38,6,23,53,23,71,22,22,39,29,7,13,73,4,29,7,17,14,21,2,37,31,25,3,7,31,18,10,3,19,18,7,17,30,74,22,54,5,52,7,21,39,30,3,62,37,2,11,13,2,6,2,64,9,2,0,21,75,18,38,17,39,19,23,7,37,27,71,0,19,0,2,35,15,6,40,52,14,7,14,64,15,0,49,10,15,19,35,4,18,3,6,2,6,2,8,52,22,44,32,3,4,57,28,28,16,42,112,47,7,6,0,8,94,53,27,3,30,43,28,4,21,9,27,29,37,33,35,51,17,34,69,25,6,11,24,11,21,2,2,16,13,20,20,32,48,22,11,91,24,21,0,15,60,3,55,33,46,14,22,12,2,54,66,27,94,86,11,65,32,100,7,1,36,1,50,38,130,2,74,38,7,13,26,62,26,40,127,41,65,26,17,6,82,13,0,3,13,51,30,41,9,37,52,101,10,96,68,25,15,29,59,25,84,19,60,52,97,53,17,71,121,62,48,57,11,111,26,10,0,102,46,0,0,59,6,122,34,88,8,109,8,14,129,21,5,36,35,40,0,13,20,23,20,157,6,11,3,62,62,58,66,0,75,63,93,25,19,93,25,67,1,101,69,7,94,48,104,57,155,98,18,92,11,13,8,67,209,145,31,28,15,11,25,6,28,100,26,32,38,173,123,134,37,7,238,29,75,49,3,11,13,1,78,19,89,104,20,53,128,117,2,0,31,100,111,50,58,47,132,45,18,29,3,58,119,21,24,35,53,63,249,6,17,112,83,16,163,42,54,30,1,7,2,2,111,87,65,137,9,124,56,143,44,52,5,157,49,51,14,125,59,104,20,8,20,31,7,44,167,104,63,5,4,36,150,94,9,95,31,30,1,67,6,35,59,105,0,3,32,3,49,73,41,28,64,3,240,53,40,32,82,28,100,7,51,80,57,12,113,48,88,17,38,94,6,118}

{124,538,637,1040,1183,1254,1260,1293,1667,1999,2012,2021,2038,2104,2285,2792,3903,4115,4383,4511,4514,4546,4561,4732,4736,4825,4949,4983,5172,5592,5757,5822,5877,6055,6288,6566,6655,6908,7262,8110,8357,8570,8572,8712,8894,8926,9060,9067,9588,9619,9814,9921,9968,10169,10305,10390,10737,10833,10900,10978,11395,11627,12118,12439,12482,12512,12659,13072,13393,13779,13841,13910,13922,13979,14373,14826,15145,15274,15321,15349,15365,15431,15474,15875,15908,16050,16368,16537,16864,16865,16973,17031,17079,17451,17458,17496,17554,17697,17724,17734,18050,18055,18126,18255,18330,18344,18505,18774,18825,18963,18998,19157,19246,19626,19827,20098,20471,20866,21572,21590,21884,22269,22686,22899,23085,23266,23335,23439,23561,23589,23836,24664,24847,24883,24980,25199,25301,25633,25932,26094,26155,26172,26530,26683,26705,26787,27075,27222,27317,27427,27553,27867,28233,28272,28464,28827,28968,28969,29007,29379,29592,29750,29855,29868,29951,30357,30383,30428,30464,30470,30915,31169,31415,31505,31531,31630,32009,32283,32324,32350,32619,32813,33057,33091,33123,33129,33311,33379,33498,33550,33665,33901,34293,34362,34571,34701,34751,35000,35309,35346,35433,35519,35650,35657,35821,35858,36163,36176,36348,36350,36430,36480,36877,36946,37277,37418,37465,38363,38436,38495,38698,39224,39376,39619,39758,39818,40407,40747,41447,41567,41628,41884,42219,42308,42311,42322,42774,42791,42900,43036,43079,43133,43283,43377,43399,43417,43727,43756,43812,43991,44108,44112,44116,44166,44348,44630,44772,44852,44977,45057,45217,45252,45343,45605,45988,46010,46068,46148,46198,46367,46695,46705,46770,46926,46936,46965,47131,47185,47204,47217,47627,47939,47989,48171,48181,48359,48362,48398,48400,48550,48970,49259,49319,49406,49518,49628,49788,49963,50083,50178,50245,50376,50449,50612,50635,50802,51017,51032,51037,51244,51258,51289,51325,51548,51617,51652,51712,52312,52337,52520,52554,52626,52728,52880,53173,53307,53326,53678,54123,54188,54294,54600,55624,55769,55949,56039,56552,56614,56907,57564,57612,57725,57755,58155,58197,58258,58284,58378,58563,58683,58975,59419,59543,59639,59763,59972,60113,60420,60477,60494,60797,60851,61043,61163,61491,61569,61600,61673,61796,61912,62111,62793,62848,62952,62997,63385,63440,63587,63652,63767,64035,64635,64717,64806,64845,64857,64970,65093,65100,65267,65304,65316,65325,65539,65714,66344,66405,66546,66593,67377,67751,67824,67990,68067,68145,68201,68207,68263,68315,68413,68570,68773,69026,69030,69369,69393,69483,69721,70069,70085,70238,70714,71451,71498,71517,71716,71854,71857,71909,72071,72313,72341,72655,73223,73286,73372,73604,74004,74059,74155,74249,74505,74557,74604,74712,74936,74983,75058,75187,75356,75936,76028,76209,76661,76714,76952,77575,78202,78351,78492,78637,78706,79139,79640,79674,79763,79884,80050,80230,80446,80477,80553,80585,80633,80799,80905,80957,81044,81091,81163,81174,81299,81546,81655,81687,81713,81788,81870,82098,82122,82289,82390,82429,82554,82796,82859,82860,83331,83549,83797,83905,83906,84103,84435,84547,84892,84944,85045,85101,85551,85908,85981,86553,86623,86942,87083,87175,88581,88817,88818,89044,89170,89195,89209,89555,89622,89682,90053,90114,90146,90280,90377,90394,90480,90593,90643,90915,91230,91294,91314,91425,91653,91812,91896,92044,92102,92197,92347,92353,92470,92602,92823,92980,93515,93681,94001,94024,94454,94571,94763,95262,95375,95738,95931,95962,96013,96316,96418,96480,96765,96812,96872,96911,97102,97274,97485,97505,97538,98062,98080,98138,98202,98342,98369,98562,98813,98878,98985,99327,99422,99481,99529,99536,99572,99731,99807}

Returns: 1086785
{0,0,1,0,0,1,0,0,0,2,1,0,1,4,1,3,4,8,6,1,2,4,17,5,1,0,3,0,0,5,5,0,0,5,19,9,10,7,12,16,25,3,0,1,3,4,5,1,6,7,3,5,10,0,15,21,3,8,13,7,7,17,2,21,12,12,19,13,3,34,11,33,42,7,29,8,4,5,19,7,22,21,26,10,20,1,0,2,20,9,3,22,9,35,7,7,3,10,33,62,30,1,25,66,2,21,3,10,6,22,16,58,28,0,50,35,10,3,15,30,72,13,40,26,13,52,8,65,11,29,59,4,1,13,17,40,4,3,38,34,6,76,30,5,15,8,24,19,28,2,45,3,2,54,51,33,12,54,14,18,3,52,95,17,57,36,5,55,14,14,6,68,15,121,57,83,39,7,73,31,26,44,28,22,24,15,58,36,75,3,5,40,7,32,24,8,53,47,73,24,40,36,62,6,24,89,64,92,48,40,11,77,12,45,46,73,61,86,31,38,33,8,96,154,121,83,77,22,36,84,4,30,15,29,1,13,2,91,18,71,33,33,3,20,60,27,20,28,2,50,30,30,14,45,139,208,35,109,148,22,26,54,16,1,27,70,31,121,92,34,81,45,42,14,15,52,1,16,18,58,23,25,43,12,66,64,91,66,147,10,41,93,90,10,50,13,0,162,89,40,60,87,18,55,4,130,171,77,49,6,130,103,16,123,68,5,73,38,51,61,17,85,65,5,218,17,85,32,18,7,69,203,50,89,17,21,135,72,50,8,61,43,59,61,5,108,94,188,26,103,20,83,78,13,34,4,19,96,190,52,271,77,2,149,16,228,25,12,27,19,11,121,35,297,110,57,33,1,174,72,18,203,142,127,228,75,132,11,59,124,127,73,162,27,187,47,39,77,62,38,34,168,78,173,192,161,35,57,47,15,39,96,31,34,14,19,207,64,36,88,118,131,343,35,3,18,55,196,0,181,33,44,273,103,130,43,72,178,100,255,107,221,20,140,96,69,200,223,54,45,2,123,8,191,96,194,163,164,5,54,189,29,25,8,26,55,62,15,62,53,122,68,186,173,55,273,0,105,75,2,88,13,194,20,73,7,177,175,138,330,5,61,164,86,137,182,238,115,230,86,29,97,133,298,118,87,89,28,127,93,143,5,207,91,319,58,9,80,40,64,302,76,36,88,27,301,228,11,22,87,122,44,292,8,195,37,116,104,27,84,175,176,145,305,39,122,53,28,245,94,277,9,330,254,149,249,44,118,96,282,104,156,72,335,99,45,0,142}

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Returns: 588583
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40,89355,89405,90005,90178,90260,90443,90523,90546,90669,90812,90958,90975,91108,91220,91251,91541,91615,91771,91927,92217,92238,92317,92319,92537,92712,92784,92873,92934,92984,93352,93399,93479,93600,93742,93922,94454,94465,94522,94579,94803,94970,95138,95231,95291,95375,95381,95436,95439,95693,95887,95933,95945,96019,96331,96434,96519,96556,96723,96817,96844,97052,97209,97233,97449,97780,98000,98172,98271,98365,98376,98394,98472,98502,98516,98670,98692,98710,98856,98896,98898,98912,98955,99122,99225,99297,99467,99602,99883}

Returns: 423284
{0,1,2,2,4,3,6,7,6,9,9,11,11,12,7,14,16,15,17,14,17,12,17,21,22,17,15,24,22,28,30,28,28,31,32,32,25,34,32,37,26,33,28,34,42,26,37,41,45,34,49,31,42,52,48,52,38,54,58,57,57,42,57,50,56,50,46,58,63,68,57,71,44,67,74,73,64,74,52,72,42,79,80,74,65,69,84,60,83,89,76,73,87,91,70,76,85,68,95,85,95,67,86,78,75,97,91,64,72,99,100,79,79,93,111,103,64,90,112,103,77,93,97,110,115,76,122,77,127,119,130,118,126,112,123,116,106,118,115,129,114,137,105,120,110,98,104,145,138,144,104,105,128,129,121,143,125,139,124,147,124,134,140,94,102,146,159,159,145,156,139,139,159,72,147,121,176,147,119,172,162,162,137,179,151,141,184,166,84,139,186,163,135,164,181,122,135,136,181,188,164,175,130,200,165,150,178,155,174,156,210,200,203,201,201,211,187,185,205,163,206,221,174,187,120,139,215,192,187,180,226,220,232,223,207,220,151,223,192,211,192,234,238,139,222,194,240,221,248,193,232,161,194,196,216,248,158,182,223,235,156,254,244,247,186,219,227,239,206,239,261,223,101,233,250,248,132,146,190,162,275,159,221,141,268,275,214,280,236,206,287,286,271,201,283,289,291,197,187,292,245,227,151,126,124,265,283,265,153,297,282,288,311,226,302,311,274,306,279,315,298,287,308,211,295,286,242,236,287,318,242,326,178,303,319,309,288,308,234,322,296,324,342,254,295,316,259,338,251,165,308,309,291,316,291,197,264,337,357,341,339,330,296,332,353,359,341,223,270,268,296,354,323,329,253,371,317,374,332,376,368,350,353,383,246,380,301,294,365,385,382,291,360,368,191,381,372,279,320,381,267,131,368,379,402,350,311,393,269,371,395,217,380,405,367,361,342,318,416,369,403,370,371,396,342,424,263,375,399,326,343,348,358,416,379,331,410,424,338,431,439,384,405,393,437,439,380,425,380,255,345,418,304,424,448,214,270,455,328,436,387,361,403,421,443,364,374,222,414,265,433,387,368,361,261,473,407,465,407,399,279,394,482,452,366,473,275,429,445,474,487,371,486,309,440,475,473,467,263,486,421,312,496,381,273,488,309,384,437,487,489,365,495,466,414,364,464,343,441,473,338,513,482,384,497,409,433,384,480,495,412,531,497,439,500,450,459,490,391,528,523,535,481,508,460,416,510,524,218,545,356,509,354,503,248,545,544,515,415,368,320,399,453,231,386,413,563,316,562,568,496,505,491,402,411,565,519,575,486,513,445,392,365,530,552,358,435,529,574,561,542,406,475,574,474,545,446,246,289,564,358,450,292,544,318,556,599,286,445,404,360,515,458,578,290,512,451,528,561,522,591,593,487,532,549,523,345,406,496,393,458,529,582,569,625,612,488,625,490,518,637,547,570,627,568,644,482,643,538,561,437,620,446,575,493,514,550,624,622,623,405,593,577,481,609,605,488,662,519,604,587,636,488,478,556,564,501,620,659,561,644,649,323,549,341,533,534,548,564,463,324,607,681,639,576,548,615,655,680,681,611,633,668,560,602,499,677,559,681,642,686,627,586,340,710,708,573,624,629,307,599,425,677,651,685,277,388,366,469,683,570,686,685,590,729,658,361,576,567,701,348,701,660,631,633,311,441,606,440,723,659,655,471,693,620,589,602,477,719,756,746,729,542,709,406,687,718,697,665,579,388,743,688,759,636,630,370,603,542,613,563,587,682,758,558,589,657,710,718,674,441,717,660,779,746,587,789,754,525,706,728,613,796,762,689,727,654,764,778,617,687,789,513,672,496,560,798,607,818}

{726,824,825,899,969,1019,1139,1798,1801,1851,1902,1983,2069,2184,2197,2260,2338,2504,2741,2880,2927,3107,3297,3444,3463,3666,3894,4252,4421,4561,4653,4675,4875,5307,5534,5592,5743,5980,5984,6247,6258,6428,6654,7070,7257,7300,7415,7420,7712,7737,7835,8059,8097,8161,8225,8351,8372,8655,8867,9072,9290,9291,9336,9359,9582,9606,9912,9968,10053,10131,10367,10394,10400,10415,10573,10748,10833,10847,10986,11093,11112,11420,11564,11695,11717,11827,11842,11930,11933,11993,12063,12131,12415,12420,12512,12770,13088,13201,13250,13401,13407,13597,13610,13788,13836,14034,14138,14328,14330,14336,14400,14502,14551,14635,14661,14827,15093,15104,15207,15269,15564,16047,16071,16213,16301,16344,16546,16599,16925,16944,17305,17403,17575,17729,17839,17951,18013,18022,18084,18154,18211,18500,18641,18721,18796,18949,18981,19281,19466,19519,19668,19689,19838,19847,19884,20050,20105,20142,20424,20656,20789,20805,20981,21008,21009,21048,21068,21070,21329,21366,21389,21594,21687,21818,22171,22299,22498,22667,22951,23228,23289,23327,23343,23397,23417,23575,23651,23807,23985,24087,24204,24415,24499,24734,24917,25029,25042,25061,25395,25445,25567,25730,25839,25894,25899,26165,26269,26290,26379,26653,27071,27098,27179,27382,27476,27661,27688,27959,27982,28202,28272,28291,28423,28426,28475,28549,28693,28784,28994,29218,29225,29246,29377,29384,29528,29569,29910,30025,30043,30086,30322,30352,30361,30498,30802,30860,30894,30986,31131,31217,31448,31457,31604,31699,32123,32281,32423,32700,32732,32756,32759,32801,32859,32973,33214,33888,34024,34069,34074,34075,34111,34162,34258,34285,34392,34421,34599,34933,35024,35124,35127,35782,36157,36185,36345,36363,36373,36619,36632,36665,36696,36743,36779,36830,37129,37164,37227,37819,37846,37903,37945,38033,38140,38362,38376,38461,38625,38717,38754,38957,39071,39202,39377,39388,39444,39574,39619,39832,39845,40025,40144,40185,40209,40369,40452,40544,40587,40659,40671,40945,40976,41065,41322,41536,42027,42464,42526,42692,43124,43302,43355,43355,43477,43580,43688,43921,44453,44536,44584,44614,44793,44859,45154,45279,45546,45815,45932,45948,46041,46085,46223,46251,46369,46559,46730,46822,46871,46929,46946,47132,47442,47618,47632,47646,47799,47801,47852,48156,48379,48488,48559,48597,48690,48716,48752,49012,49098,49410,49484,49624,49761,50004,50014,50057,50532,50564,50622,50688,51070,51085,51087,51289,51415,51577,51583,51584,51657,51875,51904,51968,52050,52117,52227,52462,52561,52815,53055,53122,53159,53186,53310,53521,53592,53795,53929,53931,54018,54048,54245,54536,54598,54651,54706,54723,54847,55439,55450,55525,55606,55749,55810,55818,55824,56231,56617,56663,56699,56708,56923,56926,56981,57019,57061,57072,57112,57156,57370,57804,57880,57903,57948,57994,58132,58141,58403,58405,58506,58522,58522,58523,58573,58689,58843,59103,59192,59356,59494,59568,59862,60079,60153,60233,60324,60365,60396,60471,60850,60891,60898,60931,61032,61121,61158,61258,61399,61420,61451,61933,61938,62191,62206,62238,62503,62535,62686,62718,62737,62757,62869,62964,63066,63104,63118,63167,63239,63376,63399,63556,63663,63677,63787,63794,63911,63947,64459,64631,64694,64975,65078,65201,65393,65640,65657,65748,65786,65828,65922,65990,66294,66317,66391,66416,66465,66595,66863,66978,67217,67729,67750,67924,68262,68442,68483,68802,68837,68884,68982,69041,69119,69124,69244,69256,69282,69388,69389,69411,69633,69709,69726,69750,69906,70063,70136,70165,70266,70282,70301,70773,70787,70800,70892,70937,70958,71247,71269,71269,71527,71530,71563,71631,71683,71690,71742,71966,72023,72182,72445,72472,72619,72771,72774,73105,73188,73361,73385,73552,73890,74011,74534,75153,75158,75260,75288,75307,75353,75508,75546,75772,75818,75851,75875,75949,76172,76465,76666,76870,77060,77106,77156,77188,77241,77414,77476,77484,77559,77624,77791,77903,77929,78078,78112,78198,78229,78309,78345,78401,78617,78739,78810,78825,78894,79129,79289,79337,79427,79484,79528,79572,79625,79776,80231,80325,80457,80641,80693,80713,80723,80753,80836,80998,81020,81286,81403,81418,81582,81596,81620,81999,82218,82448,83124,83420,83496,83652,83762,83829,83845,83853,83929,83962,84126,84236,84239,84557,84670,84861,84911,84998,85050,85387,85463,85636,85644,85802,85812,85865,85963,86086,86456,86689,86818,86843,86933,87004,87204,87205,87384,87565,87606,87695,87871,88021,88089,88218,88248,88488,88551,88659,88796,88817,88989,89018,89166,89186,89318,89485,89648,89670,90000,90076,90135,90137,90261,90504,90521,90624,90661,90683,90726,90748,90750,90808,90888,90919,91108,91203,91504,91554,91854,91940,91955,92086,92143,92181,92251,92553,92754,93239,93305,93374,93397,93484,93661,93876,93922,94294,94321,94471,94741,94947,94972,95038,95246,95751,95790,95898,95905,95930,95951,96033,96146,96528,96569,96747,96883,97017,97161,97263,97401,97439,97631,97684,97815,98013,98299,98301,98365,98394,98400,98848,98889,98950,98975,99121,99132,99244,99269,99387,99636,99688}

Returns: 451121
{0,0,1,0,2,0,0,3,1,9,4,5,5,5,0,0,2,11,13,4,6,3,13,16,8,3,1,19,0,2,15,1,1,28,24,0,21,18,23,30,4,20,7,33,1,41,2,17,20,10,10,3,11,27,18,6,35,6,9,1,1,2,8,17,9,13,25,10,2,39,43,4,50,10,4,14,53,7,39,12,28,61,18,12,62,56,4,69,6,29,60,61,1,30,24,44,1,15,53,57,23,27,5,36,43,42,8,31,25,25,22,79,25,4,0,55,38,66,0,62,40,46,15,16,3,4,4,5,30,73,11,58,100,36,19,73,60,82,101,6,109,74,88,65,108,56,101,22,2,18,116,91,24,16,83,24,85,63,91,24,132,98,79,0,22,49,48,91,37,2,13,8,77,72,7,41,61,85,27,105,73,47,41,141,23,1,14,21,3,65,54,26,15,61,60,45,33,77,92,34,27,50,81,52,9,6,73,85,19,10,161,71,45,106,106,2,9,43,142,48,64,159,18,47,5,46,97,77,83,93,0,154,90,37,109,19,107,112,144,31,84,144,99,94,61,47,29,3,144,59}

{184,850,864,1023,1084,1383,1983,2215,2229,2279,3022,3027,3985,4462,4716,5062,5229,6187,6332,6376,6733,8261,8539,8874,8914,9300,9717,9776,9992,10841,10891,10915,11072,11240,11608,12169,12253,13061,13513,13550,13713,14326,15926,16455,16695,17689,17704,17779,17987,18640,19087,19617,20127,20630,21293,21729,21789,21893,21894,22214,22515,22606,22817,23490,23962,24132,24566,24755,24859,25273,25555,25668,26008,26581,26583,27780,28725,28951,29505,30481,30603,30976,31061,31114,31177,31381,32663,33498,33730,33812,34205,34682,34755,35039,35356,35833,35980,36734,36996,37526,38072,38751,39090,39344,39967,40085,40458,40464,40629,40668,40862,40877,41274,42161,42168,42437,43127,43630,44146,44288,44556,45945,46283,46806,47154,47242,47818,48274,48542,48553,49497,49716,49980,50375,51793,51882,52256,53398,53617,53959,54181,54724,54983,54990,55366,55577,55688,56139,56194,56333,56433,57990,58131,59060,59140,60335,61237,61543,62012,63073,63148,63385,63717,64298,64351,64649,64716,65307,65460,66527,66821,67637,67812,68180,68284,68425,69094,69391,70118,70236,70573,70765,71013,71278,72251,73020,73226,73458,74745,75601,76030,76162,76477,77156,77767,77965,78973,79046,79380,79749,79899,80469,80675,81002,81028,82210,82959,83124,83666,83827,83887,84511,84907,84938,85343,85916,86081,86441,87136,88200,88240,89633,89812,90573,90583,90839,90995,91090,91470,91696,92085,92110,92211,92273,92343,92657,93220,93523,93984,94175,94913,95202,95827,95898,96491,97278,98580,98606,98699,98700,99655}

Returns: 344068
{0,1,2,3,4,5,6,6,8,9,10,11,12,10,14,15,14,16,17,16,19,21,21,19,22,23,26,27,23,27,27,31,32,32,30,35,35,30,30,32,34,32,22,20,31,41,46,44,43,45,45,48,50,52,54,53,51,50,33,59,51,42,54,48,54,61,63,43,68,61,67,50,72,73,72,75,72,59,76,78,79,81,79,81,67,71,75,87,67,87,90,89,92,93,94,61,88,95,68,89,95,82,92,79,94,95,59,101,97,103,108,102,109,104,113,104,79,116,95,94,111,115,121,106,113,125,121,125,125,127,118,106,122,112,129,133,95,131,137,126,77,116,141,140,131,134,138,139,147,148,84,116,113,92,135,143,105,128,130,112,157,159,138,152,115,150,105,156,157,121,145,141,164,159,168,142,163,149,164,178,154,156,150,178,171,169,145,143,186,158,172,143,182,96,176,155,191,159,163,193,185,199,197,197,167,174,160,192,208,183,187,168,211,171,192,196,155,146,126,161,220,200,192,222,176,212,210,180,163,219,205,223,191,199,217,145,232,145,185,224,228,241,225,215,221,200,230,234,233,245,217,238,249,221,188,253,175,254,232,235,255,238,254,262,210,244,113,259,268,236,253,264,271,203,222,216,184,275,204,276,215,146,267,208,168,272,266,224,260,282,205,174,286,271,258,208,237,275,268,257,292,250,282,277,234,272,265,203,260,299,300,308,259,273,302,310,313,313,314,236,209,310,297,289,290,245,307,290,303,268,312,330,237,325,314,310,307,315,321,334,235,337,339,224,280,267,337,283,270,224,316,321,318,308,339,272,283,228,332,353,336,305,305,343,355,230,347,354,357,366,368,341,344,347,374,374,358,357,352,307,328,325,233,286,375,384,320,367,344,344,302,316,352,383,386,354,375,393,350,398,331,305,277,357,380,215,360,366,407,231,395,411,372,361,340,373,368,410,390,299,413,406,407,268,315,357,389,413,420,397,349,385,312,383,325,410,406,426,339,365,421,434,362,255,407,419,437,386,444,412,413,432,448,421,376,376,417,449,319,400,388,425,401,360,399,362,425,423,464,369,385,399,335,436,458,382,444,452,468,359,448,419,476,373,422,320,402,351,479,349,474,425,185,396,490,301,496,489,421,476,491,477,434,469,468,454,461,489,477,483,433,479,504,453,498,482,477,517,307,293,478,441,412,500,451,505,469,460,500,482,515,498,532,527,344,524,425,530,528,481,528,540,402,531,464,335,494,413,418,472,494,503,551,539,321,498,430,454,425,496,550,491,548,544,564,501,530,483,565,493,557,465,513,491,560,545,566,513,560,544,534,533,440,371,562,473,376,568,523,394,552,453,592,294,471,582,413,456,570,566,500,483,451,586,561,590,442,575,574,603,547,457,489,471,495,602,533,555,596,524,606,529,530,604,595,605,621,456,532,613,612,578,594,550,510,566,622,619,608,615,471,560,603,592,522,521,579,602,263,616,506,621,595,357,614,627,594,557,520,460,469,639,468,306,631,655,626,516,525,586,532,604,621,588,627,675,672,643,478,558,662,513,662,516,595,476,603,632,609,661,650,509,536,383,656,440,696,610,545,666,607,631,649,639,574,622,650,429,664,654,689,649,538,713,610,706,609,584,690,613,643,717,677,626,710,587,532,699,712,635,475,482,653,531,699,733,670,684,537,449,658,733,630,729,610,738,532,691,745,734,734,713,626,633,738,752,735,335,561,689,695,639,508,608,652,747,598,761,602,728,623,662,678,650,711,709,773,703,758,642,575,653,747,736,442,673,729,565,679,711,720,784,769,750,457,772,636,793,739,575,675,766,551,627,773,779,729,626,804,714,794,768,784,604,770,787,812,762,638,808,666,763,485,736,711,772,743,799,739,718,788,660,773,825,792,828,803,520,834,483,824,700,641,635,843,674,724,746,838,752,844,766,601,690,830,853,727,847,790,698,830,779,766,568,736,852,684,806,831,314,816,850,752,847,810,596,793,637,826,700,669,731,871,568,843,879,749,674,834,699,782,611,874,728,879,852,811,879,774,879,780,768,839,686,710,814,738,760,824,903,818,589,678,668,794,560,777,721,665,917,640,649,920,887,857,642,920,652,718,893,869,891,764,910,848,861,678,710,821,834,889,789,899,913,903,833,714,527,839,937,809,736,948,675,725,868,759,948,895,926,927,711,737,949,638,903,929,782,855,964,830,921,592,526,663,968,836,956,862,850,807,796,771,971,874,838,837,895,918,917,926,946,883,985,707,796,860,984,893}

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Returns: 444575
{0,0,0,0,0,2,1,4,1,0,0,1,0,3,4,3,2,2,5,2,0,1,8,3,5,0,0,1,4,2,1,4,4,1,2,11,0,1,17,6,2,8,14,2,6,16,5,0,1,4,7,2,5,3,14,10,14,7,4,15,3,6,7,1,0,0,1,4,11,11,37,5,6,1,5,12,3,3,3,19,6,25,43,31,19,7,10,3,1,23,22,10,17,5,1,17,11,8,18,9,0,29,6,14,36,14,1,30,18,15,16,30,8,43,15,5,18,5,12,28,38,9,51,0,23,1,3,10,9,24,21,66,37,37,8,4,50,8,3,10,2,77,35,16,10,2,36,31,15,7,88,7,15,29,11,40,42,26,39,34,54,47,5,8,18,5,50,5,61,45,18,40,19,30,24,6,12,94,76,4,31,3,12,14,36,21,21,16,9,33,74,37,67,45,14,11,22,36,76,25,57,47,118,23,56,63,18,13,68,41,5,16,28,137,12,31,0,7,33,45,53,109,130,11,0,6,87,17,110,25,138,50,33,20,42,8,34,22,2,23,47,9,157,8,54,18,5,37,50,83,18,161,13,21,6,57,29,14,4,52,56,149,19,34,49,49,8,92,8,58,58,61,4,13,12,30,25,6,6,25,162,31,17,30,57,71,1,5,70,17,93,74,90,5,112,143,33,31,98,97,16,13,26,153,79,48,20,22,10,34,57,73,167,43,5,28,42,1,45,29,24,37,61,16,58,3,11,10,116,3,124,95,41,11,58,86,54,9,42,13,189,15,41,104,13,30,0,109,11,138,10,22,14,60,25,58,213,53,242,124,15,10,10,31,78,6,35,6,5,139,147,28,167,59,9,8,98,57,97,47,85,21,30,67,8,79,107,139,194,133,100,230,46,54,12,125,39,65,72,232,0,64,61,65,16,222,6,125,44,3,1,12,6,121,82,0,83,26,33,118,29,15,170,40,31,77,3,49,12,53,45,166,104,49,28,96,4,235,14,74,2,4,24,137,8,53,0,76,23,46,21,31,63,309,28,177,96,127,143,63,160,112,116,9,184,89,24,73,10,46,34,40,248,72,8,69,244,176,204,9,74,54,195,23,7,210,178,43,9,73,6,15,22,57,108,3,110,152,79,8,43,53,40,199,35,52,66,51,37,187,10,13,1,185,200,69,184,44,35,188,13,143,108,89,122,109,11,100,15,223,10,36,107,86,0,97,131,20,46,9,86,72,79,31,76,6,2,217,84,21,130,113,87,64,31,229,0,197,69,201,103,24,11,369,48,114,132,11,87,88,82,206,28,140,141,110,36,66,63,0,4,157,17,52,172,78,1,134,26,12,95,94,133,5,11,114,221,126,245,240,79,65,7,39,311,149,77,38,138,20,87,25,56,37,118,96,16,115,18,49,7,2,293,105,195,241,0,162,26,313,48,54,119,177,30,79,238,42,43,85,23,53,27,239,19,70,165,10,250,81,34,113,54,36,30,20,85,130,37,295,76,67,99,105,226,234,118,43,81,63,24,116,100,57,173,285,424,8,47,395,27,150,276,30,55,37,73,247,123,9,80,129,0,163,13,67,129,311,153,75,1,122,162,7,144,229,112,15,15,127,87,110,56,5,80,377,12,169,237,3,12,173,139,13,9,37,98,442,138,102,33,266,6,129,25,168,51,138,188,113,116,8,42,159,211,23,89,24,12,26,195,82,187,34,217,20,245,241,13,76,247,137,4,65,0,24,2,272,195,200,149,175,59,87,110,8,170,57,14,73,174,63,417,36,14,32,4,56,154,100,100,190,8,141,128,81,129,388,43,140,163,339,32,70,60,383,233,227,18,166,70,81,563,65,113,73,41,189,45,391,89,25,45,0,26,70,79,47,73,53,105,60,5,52,22,35,94,146,138,67,71,182,105,30,9,132,101,55,119,24,154,77,136,233,237,188,262,25,265,3,18,114,264,104,33,82,140,33,23,136,454,160,118,359,114,279,135,70,120,74,119,36,227,78,275,105,170,44,93,85,141,160,62,80,175,176,144,182,171,131,17,35,332,44,73,91,376,74,203,188,7,2,77,132,232,101,179,6,4,62,224,92,142,497,328,32,154,6,34,18,146,302,54,118,392,54,136,186,43,120,187,274,79,269,115,139,0,291,83,128,118,355,60,153,129,469,107,156,49,665,55,125,52,79,303,117,52,98,376,243,134,317,138,551,214,40,29,199,4,115,17,69,57,120,24,220,163,157,102,432,8,23,167,315,278,193,35,667,94}

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Returns: 772594
{0,1,2,3,2,5,4,4,7,9,8,11,12,10,11,13,11,17,5,16,17,14,16,19,18,24,24,27,19,26,25,26,31,30,33,29,32,31,37,35,27,39,36,34,37,38,40,44,46,32,50,40,46,48,51,42,47,48,53,45,57,55,50,56,49,56,65,33,57,66,68,27,60,27,41,71,47,70,71,76,78,74,79,55,82,22,79,74,71,64,90,76,55,87,78,69,76,60,98,97,70,82,63,81,67,76,85,105,76,70,102,102,72,92,93,80,106,98,109,117,108,117,90,56,95,111,123,127,68,129,102,71,67,133,111,131,128,134,113,137,103,129,123,112,129,139,54,87,88,137,142,98,121,109,111,89,150,140,145,102,151,83,135,119,122,142,93,155,158,167,147,166,166,158,142,158,105,121,177,118,103,151,174,145,183,152,127,58,178,123,162,174,101,192,147,190,150,163,185,127,190,125,190,185,46,175,198,175,187,121,195,202,156,199,209,193,200,195,208,209,153,209,205,222,175,116,143,221,212,226,216,196,206,196,170,205,212,166,225,219,137,184,168,191,145,230,234,220,242,217,199,198,195,243,202,227,199,212,152,186,223,260,187,259,165,207,163,211,212,257,33,261,202,93,231,216,182,251,127,255,167,267,274,276,274,284,241,232,78,253,236,286,213,257,213,232,249,88,213,190,281,236,301,301,296,239,208,210,306,271,259,162,183,229,278,295,272,271,310,314,277,169,129,264,268,315,236,189,280,320,330,120,229,317,251,305,312,335,272,290,308,253,170,253,268,327,319,297,274,306,349,196,178,325,323,349,310,310,346,288,274,357,275,308,316,362,159,356,286,361,233,227,297,348,343,278,243,356,191,210,295,283,361,350,287,335,380,334,353,265,293,264,375,372,201,349,272,146,325,209,267,284,326,379,349,360,257,349,288,337,386,244,350,319,197,395,267,405,356,415,271,350,90,412,397,225,409,338,248,415,417,385,152,414,434,354,386,424,289,425,386,404,326,395,346,209,208,434,430,276,359,213,395,427,410,368,434,359,330,354,424,247,395,388,270,455,319,368,442,285,353,392,302,169,453,392,438,331,284,332,476,423,402,266,422,372,333,343,335,434,432,490,463,280,439,420,450,395,468,403,389,398,431,466,468,500,491,315,456,437,442,337,475,291,461,479,458,190,227,508,241,503,514,439,490,462,499,365,433,403,348,510,405,436,443,429,461,515,336,501,451,353,538,403,391,471,367,546,279,504,488,370,532,404,333,541,540,537,461,350,549,526,526,510,561,564,446,418,349,409,562,456,460,479,346,435,436,227,509,552,375,522,550,444,529,584,411,308,476,454,558,555,516,515,507,519,590,593,428,443,526,372,504,555,214,567,455,576,574,468,522,410,385,439,523,547,448,614,486,443,618,387,593,477,577,490,492,561,225,603,551,624,619,299,492,281,484,453,619,376,384,553,411,515,631,504,625,616,301,606,611,556,365,592,458,431,598,585,646,282,385,585,648,661,634,425,630,425,656,279,609,618,636,630,469,535,413,508,524,649,491,527,471,472,404,684,593,667,441,646,479,620,471,650,620,554,663,565,501,510,242,655,597,509,665,559,545,685,533,673,407,700,690,535,631,589,671,562,649,464,675,197,591,614,695,672,669,697,583,690,614,595,595,413,476,661,732,685,637,476,424,537,615,595,576,364,379,717,697,739,663,647,436,744,428,508,566,457,713,579,609,619,671,676,726,716,493,410,581,728,515,620,483,643,739,476,435,480,677,705,642,764,590,737,783,688,396,465,676,420,713,771,707,734,700,307,689,498,633,749,679,462,315,782,625,468,547,545,432,672,602,531,786,515,813,588,642,513,461,400,736,758,807,705,794,778,671,483,816,399,612,800,432,726,739,816,634,824,734,800,808,452,437,742,696,810,498,638,746,500,184,496,829,746,683,600,807,736,671,738,651,854,712,707,852,794,815,536,741,725,745,823,799,584,831,870,793,792,541,830,666,752,875,521,806,870,651,668,707,789,782,559,554,661,826,706,477,887,798,737,785,879,834,843,455,836,738,481,733,675,800,851,804,842,739,677,828,670,848,757,104,821,869,490,924,894,846,761,381,878,636,761,914,527,615,854,526,822,795,470,656,914,929,919,798,874,785,646,686,938,870,696,872,823,762,920,783,833,870,939,574,918,799,605,648,689,869,789,947,844,610,499,731,386,551,878,924,914,635,910,457,425,457,552,897,974,585,850,945,651,761,918,933,914,362,953,531,599,937}

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Returns: 475875
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{160,170,207,267,304,352,378,398,416,445,475,702,849,967,972,1035,1059,1071,1119,1130,1155,1159,1202,1231,1511,1571,1663,1671,1813,1862,1929,2096,2191,2358,2686,2853,2927,2995,3092,3119,3155,3183,3190,3302,3412,3474,3482,3518,3616,3676,3681,3732,3825,4018,4145,4252,4417,4635,4667,4764,4769,4783,4795,4986,5074,5158,5251,5269,5480,5495,5652,5960,6227,6305,6417,6475,6515,6528,6595,6599,6833,6968,7024,7045,7050,7172,7269,7341,7407,7485,7504,7889,7912,8277,8416,8701,8930,8970,9095,9122,9205,9398,9413,9480,9666,9814,9888,9977,10187,10206,10543,10545,10883,10961,11166,11288,11397,11497,11689,11852,11864,11896,12000,12040,12322,12451,12634,12753,12927,12932,12986,13088,13149,13630,13985,14049,14160,14446,14504,14532,14541,14617,14760,14805,14847,15087,15411,15433,15480,15616,15713,15793,15854,15885,15945,15974,16010,16130,16196,16240,16450,16473,16497,16534,16751,16923,17089,17213,17237,17612,17867,17903,18018,18222,18258,18316,18477,18498,18824,18886,18941,18974,19112,19206,19501,19521,19651,19677,19985,20167,20194,20616,20693,20840,21035,21306,21456,21463,21548,21601,21658,21730,21866,21902,21967,21967,21980,22054,22063,22133,22206,22259,22524,22553,22572,22643,22801,22889,22985,23174,23225,23306,23346,23377,23622,23815,23885,23913,23951,24040,24117,24223,24258,24735,24755,24836,25075,25200,25435,25469,25506,25752,25922,25980,26047,26123,26293,26383,26517,26546,26657,26691,26776,26947,27142,27151,27157,27264,27407,27506,27750,27915,28004,28068,28120,28129,28157,28501,28535,28651,28809,28860,28999,29139,29204,29213,29352,29360,29441,29525,29525,29553,29593,29618,29649,29724,29898,30286,30389,30444,30498,30599,30632,30681,30713,31038,31078,31784,31856,31903,31924,31953,32379,32400,32551,32578,32596,32934,33083,33139,33257,33398,33481,33499,33683,33815,33835,33885,34325,34350,34500,34535,34569,34645,34676,34716,34761,34766,34865,35134,35314,35348,35383,35409,35413,35452,35540,35626,35740,35785,35840,35999,36099,36130,36213,36262,36271,36364,36453,36491,36642,36675,36755,36809,36853,36915,36992,37049,37136,37201,37213,37392,37527,37560,37572,37619,37721,37722,37789,37790,37969,38051,38139,38257,38386,38398,38419,38666,39082,39103,39136,39180,39773,39779,39835,40051,40098,40560,40727,40774,40784,40896,40904,41051,41226,41288,41658,41711,41759,41830,41963,42059,42076,42111,42118,42308,42514,42653,42913,42914,43014,43063,43099,43206,43245,43330,43351,43372,43395,43798,43909,43951,44027,44160,44179,44184,44189,44702,44788,44976,45143,45222,45412,45452,45465,45550,45570,45642,45691,45733,45764,45799,45868,46478,46525,46596,46636,46658,46727,47200,47236,47258,47618,47619,47716,47873,48006,48399,48592,48680,48705,48710,48733,48816,49027,49143,49234,49370,49417,49469,49528,49581,49648,49790,49806,49901,49929,50080,50082,50126,50182,50212,50389,50433,50467,50544,50568,50631,50865,50883,50890,50896,50905,50998,51044,51103,51177,51182,51189,51261,51342,51406,51735,51885,51942,51979,52110,52129,52411,52438,52572,52898,53038,53212,53244,53305,53351,53361,53428,53457,53538,53605,53615,53624,53841,53956,53981,53983,54138,54140,54149,54243,54419,54424,54620,54901,55076,55211,55330,55576,55762,55820,56011,56095,56113,56198,56330,56363,56408,56514,56531,56635,56638,56684,56704,56741,56754,56873,56981,57023,57125,57138,57144,57255,57307,57437,57524,57587,57824,58082,58158,58332,58402,58516,58572,58826,58905,59245,59413,59554,59565,59707,60338,60413,60603,60813,60816,60879,60909,60947,61148,61183,61195,61257,61335,61427,61505,61703,61770,61893,61976,62096,62142,62255,62340,62407,62534,62570,62840,62842,62908,63005,63230,63387,63398,63425,63729,63735,63842,63869,63882,64016,64176,64248,64261,64559,64723,64754,64793,64812,64832,64855,65030,65061,65174,65214,65259,65359,65418,65419,65426,65444,65530,65541,65575,65920,66272,66295,66610,66865,66873,67010,67015,67065,67360,67370,67409,67470,67754,67982,68024,68086,68138,68182,68241,68491,68529,68762,68831,68847,68867,68907,68934,69033,69292,69366,69464,69487,69494,69526,69576,69729,69778,69876,69904,69938,70087,70166,70221,70290,70367,70467,70579,70583,70598,70652,70799,70894,70974,71039,71135,71196,71207,71343,71453,71465,71916,72097,72130,72245,72309,72311,72542,72757,72809,72838,72845,73006,73061,73426,73565,73701,73827,73838,73891,73892,73927,73963,73986,74028,74134,74223,74264,74413,74489,74501,74520,74535,74555,74637,74871,74883,74975,75264,75265,75338,75388,75398,75507,75668,75839,75879,75933,75993,76051,76440,76516,76694,76894,76910,77282,77415,77661,77714,77758,77767,77829,77842,78017,78077,78114,78141,78257,78265,78291,78365,78388,78403,78520,78567,78693,78734,78741,78772,78782,78837,78838,78874,78899,78982,79012,79052,79054,79083,79190,79252,79269,79421,79444,79661,79860,80037,80333,80399,80414,80520,80722,80732,80884,80961,81133,81402,81506,81521,81557,81683,81846,81938,81980,82039,82415,82455,82512,82632,82725,82767,82812,82909,83029,83233,83321,83329,83404,83424,83524,83557,83565,83731,83790,83853,83910,83946,84070,84184,84289,84308,84350,84370,84749,84752,84821,84954,85006,8515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Returns: 516510
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Returns: 504518
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Returns: 389332
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Returns: 422349
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{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,13,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,26,26,26,26,26,27,27,27,28,28,28,28,28,29,29,29,30,30,31,31,31,32,32,33,33,33,34,34,35,35,36,37,37,38,40,41,41,41,41,42,42,42,43,43,43,43,44,44,44,44,45,45,45,48,50,50,50,50,51,51,53,53,54,55,57,57,59,59,60,60,60,63,63,63,64,64,68,68,69,69,69,70,71,71,72,72,75,75,78,78,79,79,81,82,82,82,82,83,84,84,85,86,88,89,90,91,92,93,93,93,94,96,96,97,99,100,102,106,107,108,111,112,113,113,116,118,118,118,119,120,124,125,126,126,127,128,129,129,130,130,131,132,133,139,140,141,142,145,146,148,148,149,152,158,161,162,166,167,171,172,173,174,174,175,175,178,181,183,186,200,202,211,215,216,218,224,227,228,229,229,231,233,233,236,237,240,243,245,245,246,250,251,251,251,252,255,255,258,264,270,273,279,279,281,283,284,291,293,293,293,293,294,296,296,300,301,302,303,304,306,307,311,316,319,322,325,327,329,331,345,350,352,357,360,361,364,387,388,392,394,394,409,415,416,425,429,430,430,437,438,440,454,458,462,462,463,466,467,467,468,473,476,481,485,488,493,513,514,521,544,553,561,567,567,568,570,577,605,608,610,614,618,651,656,693,701,705,713,718,735,736,738,763,777,778,780,812,818,826,829,831,831,834,839,847,849,853,872,897,909,911,916,926,927,930,933,937,942,957,963,972,987,1003,1023,1024,1030,1042,1051,1062,1079,1082,1154,1174,1188,1199,1200,1244,1274,1314,1335,1339,1351,1377,1455,1477,1517,1529,1535,1546,1565,1567,1570,1570,1582,1585,1607,1628,1648,1669,1694,1782,1793,1797,1818,1889,1915,1935,1944,1973,1978,1999,2021,2023,2041,2068,2094,2143,2150,2205,2216,2233,2314,2325,2330,2330,2333,2336,2348,2401,2464,2469,2479,2489,2492,2514,2530,2558,2677,2738,2754,2759,2774,2791,2835,2910,3042,3165,3246,3272,3331,3358,3496,3520,3547,3585,3631,3636,3670,3674,3686,3735,3771,3879,3930,3941,3993,4003,4085,4197,4311,4343,4348,4354,4413,4446,4475,4527,4763,4850,4857,4865,4932,4967,5075,5106,5387,5437,5471,5551,5558,5568,5595,5638,5936,6023,6136,6177,6187,6209,6472,6876,6878,6954,6963,6992,7045,7049,7069,7159,7162,7175,7220,7433,7492,7665,7781,7944,7972,8038,8125,8139,8207,8331,8447,8534,8590,8738,8746,9104,9139,9296,9554,9619,9678,9850,9948,9980,10052,10061,10184,10605,10742,10760,10796,11109,11422,11500,11533,11704,11752,11967,11979,12036,12088,12593,12783,12855,13183,13257,14016,14017,14133,14207,14234,14498,14513,14837,15054,15386,15469,15673,15865,16106,16266,16518,16709,16980,17182,17488,17794,17910,18039,18074,18170,18222,18873,19001,19153,19452,19840,20301,20323,20327,20449,20469,20536,21584,21748,22080,22165,22175,22299,22429,22596,22755,22855,23034,23766,24134,24262,24355,24377,24537,24571,25209,25399,25524,25660,25700,25988,26201,26201,26604,26634,26766,27211,28061,28326,28979,29141,29782,30115,30299,30350,30403,31611,31633,32143,32664,32671,32728,33224,33275,33515,34208,34489,35505,35675,35998,36532,36698,37182,37360,37723,37909,38666,39004,39092,39387,39456,39876,40342,40410,41197,41255,41442,41938,42827,43950,43953,45238,45365,45399,45401,47395,47910,48246,49074,49201,49715,50036,50074,50238,51270,51587,52413,52865,54639,54916,55700,55722,56575,56598,57102,57201,58111,58217,58976,59545,60502,61209,62368,62630,65144,66091,66504,67589,68562,69340,69438,70643,71062,71732,74959,75597,76339,76437,76983,77791,78547,80970,82562,83768,84725,87043,88192,88600,88710,89163,90576,90765,91329,93123,93579,95859,96815,97853,98126,98582,99243}

Returns: 333931
{0,0,0,0,0,0,0,0,0,1,0,0,4,2,0,3,1,7,1,1,0,3,0,6,1,1,2,0,1,2,0,2,3,9,4,1,0,1,18,2,5,1,11,18,3,6,5,4,1,8,1,3,12,2,2,5,6,18,0,5,16,1,3,12,2,7,16,13,3,3,11,17,0,1,6,3,7,1,9,22,15,12,5,5,7,8,8,2,28,4,18,1,14,1,5,2,11,23,12,1,6,11,25,6,9,0,0,7,14,2,3,0,49,1,6,2,6,25,1,17,52,15,1,0,1,14,20,3,21,24,6,22,24,72,14,39,14,15,13,12,14,12,20,29,26,8,6,15,28,15,4,14,3,1,32,7,0,9,2,11,5,34,28,10,0,14,39,14,8,37,5,6,28,4,9,20,11,7,4,11,8,28,4,2,22,5,29,3,11,29,0,2,13,5,2,44,27,32,22,14,3,14,16,37,3,52,10,36,3,45,3,23,2,50,4,3,35,25,106,75,32,7,2,5,16,78,6,19,9,23,74,3,6,37,46,26,44,33,12,5,14,0,2,87,11,74,41,2,86,18,7,19,11,50,7,1,24,61,26,35,40,4,38,24,5,21,6,22,5,59,3,13,21,3,13,47,6,35,0,12,11,20,2,67,135,32,73,3,40,2,1,40,5,15,44,136,38,34,33,31,42,7,20,6,51,24,15,8,6,24,94,29,7,2,66,19,45,58,138,18,1,13,21,37,84,11,110,57,70,25,20,6,3,51,9,25,0,33,32,29,4,80,51,36,16,11,8,143,26,53,9,52,19,67,50,8,69,36,19,65,17,49,0,27,83,8,96,4,2,0,5,4,1,38,30,2,131,19,33,31,19,60,54,19,13,18,28,32,25,34,17,48,147,128,16,34,1,24,85,0,6,10,98,91,46,24,0,38,100,68,45,65,46,201,45,59,30,19,100,14,123,4,7,123,9,0,37,100,76,168,28,27,62,11,1,69,17,36,54,45,40,94,241,59,21,58,55,24,45,122,10,19,40,87,13,19,50,55,166,53,12,28,15,7,3,64,31,85,61,59,51,137,85,21,5,138,97,78,21,67,127,2,73,36,35,92,112,57,49,30,25,136,0,4,57,102,8,7,76,0,93,9,40,5,95,0,177,33,6,84,27,100,52,203,40,8,26,81,158,3,1,47,5,13,94,10,32,6,89,43,77,37,79,15,22,49,38,120,103,25,33,31,11,85,30,57,55,116,40,24,29,42,26,45,65,25,29,50,96,30,132,40,87,18,49,169,46,2,6,36,35,3,15,158,132,58,80,54,83,58,81,117,13,32,8,56,74,12,298,140,23,25,49,123,29,59,52,128,53,11,65,147,243,145,71,20,87,25,26,9,8,10,86,80,34,194,16,32,22,14,70,70,176,108,3,70,32,41,37,61,25,45,21,47,224,123,241,203,25,5,40,29,8,0,23,42,111,3,20,1,59,132,14,38,206,60,16,116,5,55,71,98,178,3,52,54,28,3,27,85,31,48,170,96,168,73,13,13,15,66,314,60,37,151,24,51,12,10,129,192,72,59,3,125,98,11,6,133,121,94,19,389,11,54,66,14,51,107,28,14,151,52,42,110,114,123,46,88,165,97,34,58,331,141,39,46,28,150,27,177,43,26,49,74,144,2,209,37,16,150,11,10,86,21,35,130,27,201,25,16,89,81,76,116,24,35,100,1,133,168,77,166,34,23,43,113,414,111,5,27,122,137,144,187,67,6,3,2,37,58,43,34,71,13,22,49,40,162,38,61,20,44,339,70,24,39,65,228,15,65,57,104,34,40,357,117,16,87,136,163,121,282,61,65,73,2,68,68,14,207,29,1,32,119,1,5,61,245,121,52,66,279,68,207,184,118,113,7,95,57,41,43,209,77,12,21,154,91,137,8,57,88,39,31,53,326,19,89,19,63,78,23,184,150,167,75,99,164,115,30,116,119,51,127,65,60,34,222,192,193,196,150,87,28,234,20,68,13,381,103,138,50,95,206,146,21,183,62,127,110,24,185,0,40,39,307,73,5,564,4,189,14,0,12,6,41,140,23,3,83,34,75,47,178,131,50,50,89,162,273,128,41,106,165,46,82,84,123,0,14,52,15,119,71,44,128,54,317,1,8,18,47,61,63,165,24,24,61,217,44,0,95,54,52,106,19,74,121,126,82,25,231,182,230,134,41,87,7,79,560,18,293,105,197,160,292,468,278,40,9,195,166,102,9,6,5,46,180,77}

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Returns: 1033606
{0,0,0,0,0,0,0,1,1,0,4,1,4,1,6,8,4,3,7,0,12,7,11,5,6,14,5,2,0,9,1,16,4,9,11,9,4,1,14,30,20,21,1,0,0,1,34,2,8,3,1,0,21,11,20,16,23,2,0,25,17,6,21,0,8,1,12,7,24,24,28,1,6,23,42,15,10,35,34,13,4,0,7,12,4,22,46,1,0,32,44,35,1,3,7,13,1,22,43,1,9,44,5,12,51,48,36,11,3,7,0,23,12,25,3,15,23,5,3,1,9,62,22,28,45,2,25,68,2,3,14,12,0,42,21,24,5,31,19,0,36,1,19,51,43,51,14,4,56,37,29,3,16,57,37,1,15,60,21,21,55,1,4,7,27,34,0,1,30,48,7,82,45,41,68,7,87,27,7,16,31,50,5,6,42,58,86,69,14,40,49,8,20,20,8,55,62,50,18,60,6,36,4,42,3,31,27,34,31,102,20,39,3,9,63,1,38,102,2,20,78,5,94,37,30,7,1,33,45,42,5,47,27,7,9,35,76,17,44,43,10,42,61,150,19,10,5,18,49,28,3,20,7,13,23,91,94,39,55,69,60,51,68,19,36,5,68,37,27,47,13,28,9,41,7,62,22,8,73,26,27,70,25,98,25,4,11,12,59,74,12,35,147,43,95,52,27,68,84,41,167,25,19,245,7,21,22,2,20,82,156,1,27,59,15,1,33,74,29,110,44,19,100,123,90,78,186,72,18,86,25,53,2,74,14,66,148,53,79,176,37,122,69,59,3,143,12,93,22,28,28,40,100,3,68,60,24,52,8,164,4,39,53,50,42,39,8,24,88,172,120,22,22,35,106,21,72,16,4,41,23,26,78,7,40,19,14,157,0,147,33,64,10,86,56,25,141,65,68,36,133,164,56,273,68,56,2,39,16,93,46,43,20,218,37,77,142,146,4,60,33,11,41,8,301,2,95,126,138,84,148,117,33,113,10,79,150,52,83,146,7,80,93,119,0,40,8,77,169,181,87,105,242,169,14,36,15,50,321,56,34,94,139,45,33,144,35,14,63,27,37,270,102,198,122,63,90,65,148,54,196,86,17,2,53,63,52,11,39,19,166,42,193,64,54,11,116,37,75,97,26,2,4,2,98,4,114,134,6,277,118,38,188,28,19,40,176,4,137,103,81,31,28,3,6,244,78,0,20,170,100,145,94,20,96,91,8,152,260,197,193,104,41,4,187,5,49,1,178,68,15,106,79,81,103,278,59,38,52,0,74,70,80,30,42,67,128,96,139,139,29,24,15,9,277,94,0,5,31,36,152,63,312,25,169,131,394,82,85,107,13,21,66,335,30,79,5,49,9,39,5,76,62,54,22,12,288,31,308,38,59,41,7,22,43,223,49,238,351,11,40,55,182,105,10,39,211,166,284,16,158,262,105,204,342,34,65,9,44,47,57,24,180,85,90,64,43,12,252,352,72,27,151,1,5,79,13,12,140,89,294,183,197,340,120,16,77,9,79,25,122,26,75,473,11,9,168,15,118,236,93,255,69,210,293,237,186,15,73,56,162,7,31,120,59,28,232,160,20,132,16,250,41,42,6,181,12,161,322,82,77,90,289,75,6,99,195,119,108,104,69,35,10,277,155,65,232,185,38,88,47,1,40,20,71,99,60,400,2,451,209,39,309,442,36,148,336,20,13,12,220,94,23,154,78,19,244,37,40,55,258,43,318,80,241,106,389,20,94,16,493,58,219,107,154,80,246,216,180,265,310,41,9,33,40,22,191,187,20,66,136,46,79,162,103,195,5,82,35,191,114,144,190,167,29,77,250,44,56,284,107,51,31,55,177,15,86,203,79,148,36,48,107,67,52,120,13,672,59,222,563,41,270,66,48,199,63,7,180,94,27,370,216,12,222,158,24,235,230,176,284,30,221,250,8,251,115,94,180,180,35,119,320,314,424,152,52,160,13,473,111,108,89,266,113,377,13,152,8,265,287,67,16,154,144,232,172,27,48,121,33,173,176,30,14,0,78,42,99,280,95,159,22,137,249,148,158,48,145,100,195,350,222,10,96,65,45,341,193,30,159,23,316,269,86,278,203,165,92,222,342,227,199,81,170,14,45,79,148,2,12,212,506,317,76,152,108,183,78,12,142,45,94,105,74,658,113,13,44,104,245,40,108,109,106,17,166,106,468,98,523,208,29,94,16,116,335,303,13,84,173,51,320,147,170,860,173,102,97,33,164,74,16,167,57,227,218,309,11}

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Returns: 761351
{0,0,0,0,0,0,0,0,1,0,0,3,1,0,1,0,3,0,1,0,0,5,4,6,0,1,0,6,0,8,7,0,4,2,4,2,0,12,0,5,4,3,1,3,0,0,4,7,6,8,11,3,5,4,1,5,4,1,18,0,2,3,10,3,10,8,2,6,4,12,8,0,19,29,1,11,8,3,8,6,0,4,8,0,3,11,7,4,1,0,1,8,4,2,9,15,17,4,5,0,6,3,4,3,13,11,4,14,16,12,0,21,9,1,29,25,6,19,5,32,18,41,25,3,2,9,31,9,41,12,10,12,3,13,17,14,23,6,12,8,4,2,18,24,23,7,27,0,16,15,7,15,28,21,25,28,21,10,6,17,9,10,14,5,58,40,9,4,2,12,18,9,26,12,22,0,0,30,47,5,74,0,10,58,9,7,30,1,3,25,13,5,38,11,8,34,13,11,33,10,0,26,1,55,16,0,5,53,19,38,38,21,15,10,32,27,4,9,18,105,12,59,47,34,38,12,1,0,8,11,16,14,15,12,10,57,32,22,10,4,5,18,0,46,64,12,19,6,1,2,10,8,41,35,2,27,8,14,66,50,17,11,26,56,14,59,11,3,4,71,49,18,43,27,6,20,1,54,65,17,14,16,34,95,13,78,3,44,8,30,72,41,15,12,38,9,14,7,6,24,46,11,51,85,15,34,10,1,88,71,6,9,24,23,20,64,39,6,0,42,61,0,12,54,20,10,46,5,37,8,15,36,6,40,21,18,32,67,68,49,5,92,15,14,56,24,21,28,53,18,82,122,63,12,63,34,29,26,42,26,47,45,59,15,41,0,107,16,24,49,12,7,12,1,2,13,19,25,9,20,101,17,81,37,6,1,36,0,100,13,16,44,70,39,11,24,16,89,62,37,46,16,5,43,11,25,77,15,17,64,17,0,8,86,68,27,5,66,45,34,167,6,104,93,25,56,44,21,54,93,31,22,35,21,128,1,55,12,49,129,74,32,26,45,87,48,16,72,20,15,55,17,4,39,16,27,4,68,33,99,13,91,18,37,34,2,37,55,58,155,17,93,44,34,2,100,148,91,21,41,69,18,43,17,8,117,2,15,82,12,14,14,29,20,142,45,35,15,145,7,6,1,52,6,135,111,52,60,32,88,5,6,48,1,21,128,118,32,31,60,68,73,10,169,68,32,16,14,38,12,210,90,58,31,38,161,43,149,12,170,18,58,3,22,6,26,59,14,1,30,121,44,40,67,45,56,57,49,50,105,12,41,49,32,108,164,2,85,149,2,48,63,58,41,11,96,13,1,9,18,48,73,96,22,74,41,27,54,73,60,9,41,43,62,35,42,28,7,69,8,43,121,12,93,65,11,45,48,73,51,193,189,71,68,88,6,141,33,146,116,75,29,12,0,45,44,28,7,13,46,20,73,109,41,64,8,60,19,69,23,66,135,52,16,137,13,92,81,53,30,72,49,7,55,17,3,213,29,63,108,86,123,109,186,59,36,35,61,6,3,0,34,75,15,164,38,48,77,20,34,80,96,54,72,22,44,48,111,60,80,59,75,1,50,49,115,40,33,69,64,11,143,5,124,6,207,3,122,82,71,181,14,10,167,31,29,27,10,40,2,77,93,125,2,96,45,37,111,14,186,177,39,77,33,34,204,167,63,42,142,92,12,71,126,23,2,47,18,33,157,49,45,154,13,14,7,85,119,185,80,55,44,53,16,54,19,4,48,105,46,125,28,17,9,80,70,40,66,18,121,121,14,29,89,12,21,41,92,81,82,137,148,31,69,33,147,41,13,34,8,187,64,16,25,14,91,13,182,6,78,20,56,8,63,58,80,7,114,25,7,148,99,23,128,82,160,13,33,161,124,23,1,149,129,37,42,150,121,127,139,117,160,71,21,15,68,301,5,69,282,85,124,63,121,29,30,25,65,92,60,54,6,65,8,299,2,127,16,81,23,98,495,11,362,15,81,109,388,143,73,50,193,117,243,3,171,96,20,299,158,140,109,248,290,10,1,51,20,160,9,114,149,19,11,43,57,32,63,57,143,4,4,110,69,188,34,22,46,9,9,18,47,64,30,100,16,220,94,47,85,116,178,4,66,4,309,347,287,64,20,121,45,109,30,55,3,25,33,423,88,260,38,76,111,249,107,129,245,41,46,94,74,246,21,25,21,265,138,465,102,257,58,82,111,200,35,205,20,133,41,73,124,171,83,81,25,2,265,79,112,5,227,0,108,21,15,130,61,32}

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Returns: 875684
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Returns: 457085
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Returns: 378069
{0,1,2,1,4,3,6,7,8,9,9,10,12,12,14,12,16,13,14,16,16,21,17,23,13,15,24,26,25,24,30,16,21,31,16,30,21,32,21,25,28,36,38,40,44,41,39,33,42,40,30,37,47,33,32,54,30,57,42,48,42,60,53,39,27,51,46,62,67,56,21,48,59,60,59,68,42,69,72,48,67,30,58,50,80,80,55,51,87,84,83,78,78,86,57,87,65,93,58,96,66,83,100,73,98,96,58,63,103,67,62,89,83,107,34,95,89,117,67,94,95,55,57,106,41,72,111,64,127,128,107,127,109,120,56,47,77,112,104,117,81,111,112,117,17,135,144,85,123,112,81,123,141,132,90,66,117,89,71,142,95,121,30,154,14,133,93,85,132,137,147,152,159,136,114,87,122,125,129,141,170,158,151,174,159,160,157,132,143,169,151,177,125,114,136,164,121,180,121,60,42,192,171,152,193,160,156,205,62,62,198,68,206,138,105,212,214,188,194,196,201,221,193,213,217,160,182,206,209,130,157,231,142,227,220,209,169,231,219,95,211,215,187,225,205,225,133,239,230,180,242,185,160,250,221,187,163,239,195,233,186,214,188,248,256,220,246,183,222,266,202,109,264,235,186,119,202,222,146,244,225,182,228,230,261,170,266,168,272,186,101,143,275,165,248,272,262,190,254,200,276,119,275,234,164,231,256,249,196,221,251,292,281,136,56,262,308,288,196,246,317,312,280,225,249,253,160,210,325,221,327,288,301,247,160,322,275,266,196,148,286,244,325,187,133,286,246,323,199,292,318,247,232,344,134,318,88,304,255,305,233,183,290,253,220,223,320,268,336,184,333,332,319,192,293,241,343,122,150,213,349,279,333,64,307,383,288,321,357,347,68,259,385,197,297,387,240,379,329,300,220,398,360,401,129,345,349,383,242,355,344,279,375,401,259,397,247,274,371,374,379,308,421,412,296,367,411,257,390,364,418,270,415,140,261,310,421,319,388,412,387,291,317,210,316,378,278,327,153,402,153,332,285,391,354,290,136,353,383,90,431,164,435,258,368,238,465,431,153,330,435,269,378,372,358,459,370,190,332,457,311,432,350,420,320,274,310,436,434,296,363,302,417,414,386,463,377,369,154,495,500,464,268,469,457,446,398,294,363,336,197,385,498,460,430,501,126,427,467,434,418,224,210,490,344,388,409,519,332,386,389,506,478,444,519,491,479,532,388,389,420,379,410,155,273,402,541,510,484,384,281,514,410,198,551,518,381,523,539,533,397,465,462,333,437,486,418,567,112,307,551,529,559,321,375,385,401,207,431,460,458,351,421,501,490,469,275,558,371,367,420,567,425,469,494,441,499,464,500,485,377,405,181,241,578,232,569,606,294,573,603,527,591,378,290,473,582,383,564,559,445,619,284,360,615,483,394,428,431,575,460,244,471,522,266,523,448,566,591,367,124,565,633,175,604,556,286,393,440,560,598,441,629,447,481,432,580,538,608,492,618,510,417,628,454,587,185,578,516,313,667,577,577,655,647,619,634,652,370,463,422,472,523,558,334,364,670,312,639,647,522,607,620,474,651,323,687,437,335,654,609,639,377,523,393,692,470,549,620,373,493,653,665,660,550,603,587,417,402,208,371,659,536,267,417,679,685,723,619,661,293,414,570,725,544,510,421,176,651,738,625,659,628,483,719,585,111,598,486,502,625,479,387,668,375,359,657,549,735,369,593,652,692,724,728,665,413,677,351,745,274,256,508,722,580,753,610,549,505,446,92,718,271,332,734,708,725,547,773,504,719,540,260,754,476,684,784,789,637,529,667,524,261,282,101,709,716,602,331,764,740,770,745,713,669,575,485,544,606,270,659,754,706,514,677,553,465,496,821,445,769,803,725,767,301,763,794,441,729,622,807,822,780,655,642,670,796,803,465,293,832,386,522,700,554,517,809,600,805,522,747,677,424,248,649,611,703,428,671,268,588,556,587,675,274,819,565,720,790,529,722,847,490,383,654,411,724,687,798,865,492,822,643,394,661,779,514,580,754,786,693,706,193,628,775,856,533,445,761,837,678,858,873,881,427,854,743,528,760,783,697,730,664,829,757,881,829,543,693,922,465,346,727,808,588,778,614,461,433,817,770,539,798,930,227,802,524,896,846,819,860,627,890,658,692,868,667,796,404,509,563,650,775,587,441,934,632,623,521,757,705,778,837,946,576,886,727,874,952,809,951,966,725,521,653,400,845,328,955,587,977,758,598,880,932,959,937,881,765}

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Returns: 479849
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Returns: 976784
{0,1,2,3,4,4,5,7,7,8,10,10,11,12,14,12,16,17,16,19,17,21,21,22,24,21,24,27,19,25,27,30,26,28,29,35,33,33,37,38,37,41,33,41,41,37,35,47,36,49,47,51,45,53,50,51,53,57,58,56,53,61,62,57,50,57,62,58,65,69,62,70,70,70,67,62,65,74,67,78,74,75,76,75,73,76,84,85,79,80,73,84,80,90,94,90,81,78,98,97,98,98,98,93,88,79,99,101,97,84,106,111,92,107,95,102,114,115,112,111,115,111,107,109,116,86,125,69,128,102,122,119,127,104,132,124,100,130,112,123,139,139,128,141,141,129,134,125,136,123,149,145,134,152,142,124,153,157,152,133,145,146,140,145,162,155,164,160,153,155,162,168,171,148,164,141,170,171,123,173,156,163,180,163,164,150,183,167,183,161,177,185,176,179,165,193,195,175,196,183,114,148,172,130,199,198,196,199,201,191,190,198,191,189,185,183,202,216,214,209,169,189,201,168,189,219,210,214,187,228,211,205,224,205,213,232,212,231,203,174,220,237,233,238,221,226,165,215,230,236,215,221,240,249,237,250,212,257,225,243,252,254,210,246,262,239,266,258,251,234,211,238,269,245,220,186,230,248,248,269,267,206,281,135,278,259,266,279,277,284,265,256,267,283,289,293,287,290,293,232,270,298,301,296,287,264,303,253,297,239,301,299,299,257,262,176,314,302,273,309,319,319,316,313,321,317,304,290,312,317,300,325,330,317,312,329,315,336,331,333,323,289,328,315,340,334,323,312,345,348,327,318,348,289,325,322,260,300,354,291,352,320,361,327,353,317,275,359,364,335,339,348,351,306,374,319,351,369,316,368,370,335,375,303,361,384,358,375,344,308,350,301,373,361,278,388,390,378,317,312,400,307,362,352,358,318,393,294,406,405,407,352,392,404,412,387,362,394,417,393,213,371,390,413,375,393,358,414,414,422,423,430,430,432,420,407,409,407,405,417,419,314,404,437,383,438,386,429,424,389,445,380,430,448,381,448,443,455,443,382,410,430,457,457,412,456,452,413,442,450,373,410,450,438,361,364,437,463,468,454,472,475,375,478,474,371,386,485,423,479,485,483,444,409,467,452,439,495,494,410,438,376,468,433,436,497,496,379,505,495,402,499,476,488,350,491,392,488,485,486,504,490,498,398,498,473,490,499,513,529,462,520,499,383,507,524,518,443,529,496,479,436,466,534,544,491,538,444,517,532,543,488,526,537,542,485,546,551,558,497,473,536,511,510,534,472,558,547,547,481,550,398,535,521,543,560,569,564,548,568,563,481,525,496,580,559,477,577,279,497,547,479,473,555,568,375,588,567,582,541,594,547,526,579,592,522,597,358,535,450,561,610,606,583,550,538,596,616,427,564,603,611,543,613,455,610,514,583,597,439,622,616,627,631,582,616,609,608,609,616,619,623,597,518,637,607,582,612,591,636,486,484,502,468,444,588,633,451,594,657,626,641,658,607,570,565,611,577,612,656,669,604,657,525,532,513,647,677,596,637,505,678,640,681,584,659,632,679,663,582,601,682,575,605,641,695,670,642,624,471,674,620,624,665,668,689,685,635,707,640,634,679,600,552,689,711,715,702,647,603,661,642,699,704,613,583,684,577,428,664,653,600,439,719,687,670,647,727,725,601,689,639,683,688,695,722,744,635,694,743,719,588,668,655,749,629,703,470,677,637,559,735,504,622,730,696,739,669,702,757,691,564,668,737,746,716,641,686,631,700,759,768,742,685,505,734,705,673,749,780,687,740,732,617,486,762,761,613,774,774,745,742,758,725,770,768,786,787,696,742,809,642,635,791,602,765,807,744,746,787,788,643,696,683,757,791,825,749,761,577,721,776,808,811,750,820,731,754,802,556,826,837,772,724,826,674,781,736,819,818,828,790,823,816,852,810,836,830,675,803,746,747,806,843,850,774,810,733,862,798,846,809,842,730,865,646,850,872,758,814,866,803,822,830,845,885,836,811,851,762,888,741,853,888,869,879,866,864,812,807,804,878,855,881,902,686,863,850,906,840,893,905,800,685,914,902,894,898,918,893,868,874,846,806,893,881,776,914,906,896,778,894,739,847,918,912,917,896,849,785,901,919,922,802,789,843,737,916,934,949,705,692,844,938,896,946,928,803,928,863,915,938,764,940,899,759,802,918,897,729,855,857,964,591,830,896,816,815,826,974,722,814,975,983,937,841,934,754,868,798,721,833,798,985,881,950,802,894,955}

{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,19,19,19,19,19,20,20,20,20,20,21,23,23,24,24,24,24,24,24,25,25,25,25,25,26,26,27,28,28,28,29,29,29,30,30,31,31,31,31,32,32,32,32,33,34,34,35,36,36,36,37,37,39,39,41,41,41,42,42,43,43,44,44,45,46,47,47,48,49,49,50,51,52,52,54,54,55,55,55,55,58,60,60,60,61,61,61,61,62,62,63,63,63,64,64,65,65,66,66,67,67,68,68,69,71,71,72,73,74,74,77,81,81,82,82,85,86,86,86,87,94,96,98,98,99,100,100,101,101,102,102,105,105,107,109,110,113,113,115,115,116,116,119,119,120,121,121,127,129,136,136,138,142,143,143,149,151,153,161,161,163,165,170,171,173,177,179,187,188,193,196,198,200,201,202,203,203,205,208,211,212,213,213,213,214,214,218,221,222,223,224,224,228,228,230,230,231,233,235,242,251,254,257,259,262,262,270,275,282,286,287,297,298,300,301,302,302,304,305,306,316,319,337,337,342,351,355,355,361,363,371,371,372,377,377,379,392,392,402,405,408,413,414,419,420,441,448,471,476,479,485,488,498,507,508,509,516,529,531,531,540,551,555,563,573,573,575,586,588,605,605,609,618,618,626,636,655,667,683,689,699,702,710,716,718,729,730,743,745,746,747,757,760,769,774,780,795,795,809,814,822,836,839,855,893,894,896,910,936,957,957,959,960,960,967,968,986,990,1006,1008,1018,1072,1083,1097,1105,1112,1133,1139,1166,1167,1171,1194,1195,1236,1252,1260,1266,1275,1292,1325,1326,1329,1343,1346,1347,1352,1352,1354,1364,1374,1389,1415,1418,1431,1450,1531,1543,1594,1612,1626,1651,1671,1716,1763,1767,1769,1785,1811,1816,1843,1884,1906,1959,1999,2017,2019,2030,2057,2088,2132,2199,2209,2305,2361,2371,2384,2436,2451,2468,2492,2497,2509,2537,2560,2590,2613,2683,2724,2725,2743,2789,2798,2800,2810,2827,2861,2940,2974,3029,3061,3106,3150,3168,3244,3298,3321,3350,3358,3400,3405,3455,3484,3518,3625,3627,3669,3707,3758,3797,3832,3870,3949,3963,3972,3996,4003,4018,4087,4114,4178,4208,4306,4354,4381,4538,4540,4609,4679,4680,4681,4694,4741,4761,4785,4884,5015,5020,5028,5075,5155,5185,5198,5293,5356,5392,5492,5524,5544,5595,5700,5709,5743,5769,5836,6078,6223,6255,6313,6400,6601,6695,6789,6801,6821,6864,6879,6897,6904,6946,7028,7036,7071,7419,7498,7503,7518,7780,7789,7931,7937,8243,8317,8410,8629,8657,8955,9010,9050,9065,9161,9356,9409,9479,9546,10014,10179,10185,10299,10637,11023,11157,11254,11358,11493,11728,11871,11965,11992,12019,12049,12229,12507,12756,12914,13262,13395,13417,13525,13612,13677,13711,13746,13813,13830,13838,14214,14285,14572,14904,14905,15272,15332,15731,15816,16014,16065,16102,16176,16862,16900,16983,17095,17550,17586,18045,18156,18191,18353,18375,18760,19128,19387,19736,19757,19959,20104,20277,20401,20871,21085,21170,21552,21589,21859,21891,22073,22328,22413,22567,22613,23395,23573,24044,24510,25012,25094,25371,25490,25926,26038,26361,26463,26654,26676,27157,27682,27966,28192,28463,28898,28937,28998,29075,29195,29711,30082,30114,30122,30750,30952,31563,31777,31799,31811,31942,32665,32669,32715,33233,33251,33634,33772,33970,34441,35643,35683,36254,36256,37047,37535,38030,39317,40489,40790,41401,41827,42267,42469,43242,43422,43471,43477,43942,43997,44012,44512,45257,45590,45748,46017,47142,47800,48107,48273,49375,50234,50728,50793,52316,53449,54196,54908,56357,58509,58840,58847,58985,59278,59334,59539,59745,60938,61186,61207,62323,62610,62835,63200,63925,64020,66028,66069,67157,68452,68488,70728,72493,73043,74256,74805,75725,76216,80198,80362,80600,80725,80727,82279,82934,83670,84403,84685,84753,84921,84980,85870,87086,87327,87335,89145,89416,89540,90315,91879,92299,94811,95510,96780,96842,97137,97983,98158,98716,99753,99936}

Returns: 293228
{0,0,1,0,0,4,0,2,4,6,6,6,1,4,7,2,8,1,8,9,0,4,19,2,13,0,5,5,8,1,1,8,11,11,13,5,0,19,15,26,1,24,3,6,12,40,4,12,2,11,7,8,21,21,11,25,34,32,1,40,33,3,44,12,17,15,30,13,35,26,10,33,51,68,24,23,16,4,22,14,57,9,70,39,28,15,60,3,1,39,11,11,18,55,54,41,44,15,56,52,24,11,16,29,37,54,21,42,44,19,6,29,13,6,9,64,6,15,44,3,4,17,77,41,55,20,115,27,106,1,91,40,16,21,8,18,79,21,42,105,42,10,23,23,48,29,34,57,50,18,101,52,105,2,114,89,44,6,129,39,36,144,28,11,24,98,14,60,95,86,17,32,53,112,25,157,104,63,76,83,124,88,108,25,7,24,63,155,57,75,32,123,57,13,4,112,44,74,183,3,14,154,19,1,6,20,72,26,118,11,184,19,56,113,19,35,99,90,81,7,66,111,153,70,78,89,46,45,129,61,118,8,44,83,29,24,1,73,109,14,216,144,92,88,30,93,130,6,86,180,127,35,140,154,41,105,52,52,106,32,185,223,79,120,16,96,39,106,138,173,100,124,186,18,144,113,142,194,167,33,74,118,158,174,153,23,79,3,125,24,148,165,245,187,53,7,78,128,160,79,182,116,63,190,176,40,245,125,209,5,24,1,11,150,157,176,42,10,11,35,81,41,46,8,146,174,36,212,6,46,67,56,90,113,5,172,25,30,259,120,65,115,208,81,10,170,61,125,96,117,155,130,96,9,149,155,184,124,48,64,112,227,95,48,272,86,90,151,147,113,31,42,123,206,311,232,127,183,258,249,204,20,82,110,239,154,124,335,145,82,31,163,48,3,265,370,97,130,191,161,171,169,289,12,51,310,155,117,270,161,103,299,139,256,13,39,34,255,85,141,345,161,179,114,127,302,186,170,318,174,166,125,249,39,9,5,127,48,273,213,64,237,76,67,161,224,205,386,37,87,200,124,119,145,149,322,166,209,264,168,176,364,338,48,339,17,282,17,212,155,87,20,140,273,86,12,124,30,137,95,140,152,52,128,31,191,65,436,396,85,127,121,13,168,79,116,56,196,227,165,173,4,90,300,67,325,387,336,38,34,220,361,89,93,181,42,129,63,326,78,6,284,369,59,35,5,296,121,146,176,412,358,37,304,155,225,381,262,69,362,33,42,183,209,59,42,102,103,9,55,151,407,329,12,102,255,216,52,84,225,485,209,457,475,374,429,293,47,426,65,123,228,168,429,200,217,285,348,53,66,243,119,165,476,131,210,79,88,108,20,210,152,133,263,98,226,122,30,503,294,25,176,413,108,395,359,72,41,243,258,306,167,305,70,43,178,197,14,501,310,416,220,72,106,80,175,243,234,224,38,174,247,41,194,87,90,341,77,18,80,370,99,111,291,374,143,350,322,172,265,616,285,243,67,224,271,436,236,282,294,86,31,269,317,44,91,176,150,245,44,354,377,395,189,187,59,442,205,162,460,418,283,70,4,444,447,102,214,104,603,330,128,220,562,158,180,191,495,406,58,113,393,10,329,208,158,396,546,354,514,304,88,338,201,538,141,499,146,10,483,590,506,654,52,113,32,213,130,42,40,405,113,528,334,397,135,693,246,91,489,120,5,297,257,458,161,310,423,2,257,582,100,318,342,24,28,28,71,538,65,412,113,446,106,610,618,161,424,278,210,282,287,222,519,304,120,96,651,241,473,180,411,11,253,221,58,577,5,358,102,67,674,155,490,331,90,5,464,110,203,569,79,625,92,113,304,391,120,53,111,555,224,584,238,353,423,37,330,33,44,628,103,133,393,163,78,435,320,574,323,293,317,246,411,339,123,591,519,458,181,113,640,264,595,263,97,526,463,256,496,530,219,29,194,615,40,571,5,635,548,229,338,596,382,171,94,119,827,483,115,109,109,275,741,376,455,264,360,77,35,129,365,36,299,500,484,583,66,791,22,745,22,408,376,698,532,424,13,57,398,198,368,84,109,484,325,131,62,106,216,107,361,21,75,73,294,501,83,246,390,429,15,91,331,193,173,726,817,79,72,823,648,134,128,197,543,300,30,463,220,397,239,77,124,89,815,558,349,679,349,129,337,6,288,171,232,610,604,453,70,65,236,338,189,499,239,118,126,249,10,290,799,275,643,75,272,772,171,208,522,122,148,976,236,587,49,66,41,393,73,45,581,101,75,245,79,476,704,170}

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Returns: 581396
{0,1,2,3,3,5,6,7,8,9,10,10,12,13,14,15,15,15,18,17,18,21,21,19,22,20,22,27,28,29,25,28,26,30,30,28,30,37,34,32,39,41,41,41,38,43,35,46,45,44,41,48,50,44,54,54,52,41,58,57,59,46,62,56,62,56,62,46,65,66,69,64,72,73,71,65,72,77,62,79,76,78,66,79,78,75,86,87,74,77,79,86,85,84,94,71,84,90,97,86,82,85,96,102,91,105,94,100,108,77,89,103,104,104,114,106,104,103,114,93,104,108,122,115,102,121,116,111,126,111,130,93,110,122,130,108,131,133,113,137,116,123,142,112,130,136,119,140,135,145,113,150,146,145,129,155,132,140,145,159,143,159,140,163,155,160,153,159,167,154,144,169,169,161,164,158,172,169,175,167,180,179,177,152,148,162,153,164,173,158,170,170,175,189,143,175,188,192,198,195,153,169,201,200,177,201,189,166,172,202,209,187,176,204,199,201,114,156,212,214,216,181,215,209,218,154,209,192,205,227,171,184,157,217,224,209,161,206,135,237,156,209,229,199,198,204,237,232,242,232,243,250,215,218,218,172,244,163,246,226,206,243,237,240,249,252,248,259,254,232,249,201,252,260,252,215,265,110,248,278,236,258,253,232,253,230,257,272,236,260,234,255,276,273,276,257,221,297,256,262,283,226,266,231,303,304,242,219,304,308,289,291,253,264,308,288,145,272,315,281,308,305,285,311,252,318,313,327,290,318,291,271,220,272,298,315,264,327,278,335,331,324,278,296,344,337,284,319,347,278,347,333,349,313,327,313,339,251,330,304,320,346,360,358,291,344,282,352,324,351,362,333,367,301,360,335,345,369,238,363,365,358,382,317,359,350,321,379,382,213,374,379,345,387,317,382,394,361,357,389,392,300,399,395,321,403,359,292,358,299,379,365,412,318,290,413,405,389,399,385,405,368,417,356,388,313,341,295,373,416,425,414,424,374,431,389,320,342,376,420,439,414,405,388,434,445,386,416,429,444,429,435,451,336,439,428,426,456,453,443,449,419,313,444,390,424,410,463,440,344,448,309,421,458,455,475,438,459,472,422,460,479,459,471,474,482,461,457,487,467,486,456,486,464,409,419,481,472,486,448,407,476,465,479,492,458,501,444,442,458,449,447,422,487,506,504,469,274,500,435,295,504,490,393,391,429,444,496,419,511,503,528,443,519,494,487,293,475,468,479,515,412,526,515,461,545,539,381,493,494,511,537,460,529,461,405,442,505,446,515,437,561,472,488,560,502,554,561,471,544,440,536,510,563,565,510,512,561,535,565,555,572,515,569,579,513,573,578,529,574,413,571,449,548,531,429,536,482,553,584,587,530,505,595,600,535,537,596,477,592,504,577,547,469,550,582,406,539,616,614,578,611,532,542,527,417,542,572,600,561,619,628,407,596,525,454,523,586,547,631,505,604,560,498,537,634,538,570,580,583,610,651,633,644,644,625,620,531,440,649,659,577,603,570,640,624,535,603,621,658,639,583,672,624,674,579,627,547,638,600,647,658,637,680,608,638,577,596,627,642,687,668,655,653,571,685,612,533,593,616,539,657,553,701,693,680,623,664,550,669,686,662,638,612,642,486,639,551,674,476,703,642,691,572,428,697,625,719,721,722,723,612,720,722,638,716,662,673,718,691,739,690,691,590,735,723,731,711,675,547,698,717,733,693,747,689,738,732,683,670,736,689,714,731,669,724,714,750,678,756,715,740,553,735,547,749,650,741,612,763,771,641,733,764,782,731,692,784,685,666,753,434,662,787,793,742,747,789,783,769,788,734,757,654,766,626,602,732,796,757,747,706,728,759,808,612,788,726,600,759,578,719,661,804,747,779,781,725,791,798,829,718,798,407,785,804,782,835,596,827,698,642,787,840,839,718,692,818,683,839,833,695,797,792,850,728,845,765,815,851,765,842,707,807,856,861,795,857,863,869,694,851,727,668,788,812,867,816,857,563,796,860,816,862,760,754,860,883,725,822,771,679,731,763,812,772,591,834,890,572,831,897,659,790,900,746,815,781,846,860,616,744,885,911,736,882,911,790,897,859,905,918,821,847,734,826,889,888,866,790,865,570,864,911,873,884,868,921,884,925,917,882,877,915,850,792,862,898,912,943,905,946,872,793,916,884,844,812,919,940,928,950,751,929,870,937,921,632,956,962,958,928,955,889,819,901,803,851,847,847,673,919,954,899,872,924,860,754,907,972,899,814,922,955,932,527,985,805,928}

{27,228,268,319,610,847,850,904,1135,1144,1179,1188,1612,1627,1701,2072,2158,2176,2180,2329,2352,2403,2432,2537,2568,2734,2752,2858,2948,3122,3187,3191,3210,3485,3643,3651,3707,3745,4020,4056,4275,4478,4487,4509,4526,4681,4698,4783,5026,5158,5175,5216,5269,5347,5365,5491,5608,6020,6061,6074,6197,6233,6517,6723,6885,7056,7398,7456,7496,7659,7659,7834,7876,7906,8046,8071,8295,8520,8723,8767,8784,8860,9001,9029,9053,9096,9106,9147,9229,9388,9487,9584,9610,9686,9694,9746,9791,9813,10063,10213,10222,10309,10311,10402,10437,10476,10486,10712,10774,10905,10976,11042,11070,11100,11231,11249,11335,11473,11699,11831,11887,11955,12114,12190,12204,12213,12245,12308,12326,12435,12529,12538,12609,12768,12819,12850,12887,13078,13273,13300,13398,13427,13432,13452,13506,13538,13563,13669,13691,13943,14172,14274,14346,14489,14549,14596,14669,15062,15171,15190,15352,15352,15410,15444,15451,15533,15756,15902,16048,16097,16325,16355,16489,16532,16545,16545,16601,16824,17501,18181,18213,18264,18529,18547,18818,18844,18904,18911,18933,19001,19046,19120,19158,19365,19517,19590,19741,19785,19792,19793,19846,19901,19998,20027,20141,20264,20301,20392,20406,20811,20925,20935,21063,21186,21572,21672,22291,22301,22321,22626,22703,22747,22779,22787,22815,23226,23366,23407,23426,23554,23556,23595,23597,23615,23749,23820,23878,23937,24077,24108,24114,24144,24175,24284,24352,24460,24480,24525,24546,24580,24695,24718,25143,25200,25389,25511,25537,25581,25896,25952,26160,26210,26371,26436,26676,26762,26812,26888,27025,27089,27183,27299,27312,27322,27517,27635,27638,27954,28262,28446,28512,28569,28582,28675,28773,29074,29203,29591,29745,29816,29897,30253,30330,30431,30918,31032,31055,31185,31197,31289,31398,31585,31605,31758,31793,31854,31885,31994,32047,32060,32106,32135,32145,32218,32234,32282,32513,32523,32529,32591,32607,32622,32632,32882,32950,33256,33291,33328,33407,33530,33537,33714,33940,33946,34244,34407,34635,34744,35081,35082,35157,35215,35294,35313,35338,35368,35386,35462,35550,35613,35635,35834,35835,35974,36026,36045,36102,36232,36255,36659,36779,36788,37031,37093,37340,37351,37544,37623,37803,38131,38414,38814,38885,38905,38905,38927,39169,39309,39464,39496,39626,39707,39754,39760,39874,40117,40218,40538,40586,40793,40802,40802,40900,41019,41352,41368,41412,41576,41578,41682,41919,41987,42010,42046,42152,42164,42334,42516,42716,42971,43020,43241,43443,43445,43458,43524,43536,43537,43777,43895,44092,44254,44267,44577,44713,44794,44842,44996,45042,45138,45271,45276,45312,45317,45637,45639,45658,45930,45953,46007,46190,46194,46318,46501,46569,46617,46676,46716,46722,46728,46864,47009,47094,47309,47363,47416,47439,47469,47529,47604,47614,47640,47719,47761,47840,47848,47881,47903,47954,47983,48032,48094,48242,48355,48368,48842,49087,49363,49489,49704,49895,49967,49982,50010,50015,50089,50128,50158,50182,50288,50321,50418,50461,50572,50590,50660,50663,50666,50706,50832,50980,51085,51214,51240,51281,51408,51569,51628,51639,52057,52113,52149,52223,52395,52476,52569,52593,52647,52656,52677,52731,52925,52934,53010,53046,53124,53158,53226,53264,53272,53344,53811,53969,54124,54140,54236,54261,54589,54656,54669,54848,54855,54886,55288,55330,55469,55720,55898,55981,56184,56223,56232,56241,56256,56374,56398,56669,56786,56821,56860,56972,56976,57061,57125,57231,57357,57392,57697,57778,58250,58288,58353,58418,58432,58447,58533,58723,58751,58759,58871,58880,58882,59000,59043,59121,59202,59234,59290,59489,59549,59551,59647,59820,59870,59884,59960,60084,60205,60206,60312,60385,60502,60722,60949,61381,61412,61521,61615,61725,62118,62130,62235,62280,62380,62408,62518,62573,62578,62686,62728,62809,62833,62867,62976,62992,63047,63059,63100,63145,63739,63773,64066,64070,64118,64154,64191,64204,64239,64273,64351,64368,64480,64492,64568,64619,64634,64704,64805,64852,65036,65062,65137,65202,65225,65268,65273,65295,65299,65344,65383,65389,65557,65590,65595,65606,65711,65851,65926,65994,66051,66137,66264,66449,66548,66671,66744,66773,66808,66815,66836,66996,67005,67016,67068,67080,67258,67424,67472,67546,67622,67698,67794,67924,68016,68205,68291,68317,68445,68609,68693,68697,68703,68723,68754,68895,69013,69024,69096,69134,69142,69194,69422,69545,69645,69781,69855,69971,70122,70174,70268,70273,70332,70569,70583,70787,70935,71045,71341,71484,71521,71592,71839,71861,72150,72411,72436,72472,72677,73094,73104,73112,73119,73333,73379,73401,73483,73637,73859,73997,74193,74395,74557,74565,74600,74746,74788,74966,75004,75113,75399,75484,75623,75745,75861,75932,75957,76026,76243,76427,76448,76479,76487,76506,76516,76537,76598,76622,77067,77110,77326,77473,77505,77747,77865,77995,78012,78070,78285,78302,78428,78521,78720,78838,78992,79009,79011,79111,79400,79408,79486,79513,79546,79573,79752,79792,79801,79855,79922,79940,79967,80034,80080,80216,80224,80417,80788,81127,81188,81293,81459,81508,81531,81648,81655,81792,81827,81836,81866,81989,81999,82418,82453,82514,82515,82586,82598,82841,82904,82984,83052,83361,83399,83411,83521,83994,84392,84459,84512,84552,84590,84602,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Returns: 473846
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Returns: 647765
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Returns: 100000000
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Returns: 50367163
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Returns: 199728
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Returns: 338520
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998}

{41,52,63,139,161,203,216,464,505,597,621,770,897,972,1013,1038,1181,1230,1335,1521,1541,1630,1984,1989,2039,2105,2152,2635,2741,2758,2872,2937,2958,2959,3085,3103,3147,3479,3521,3585,3614,3720,3721,3724,3835,4040,4392,4423,4530,4611,4652,4790,4860,4934,5094,5133,5215,5297,5356,5456,5462,5476,5667,5719,5736,5827,5859,5924,5981,6153,6220,6260,6785,6799,6990,7021,7074,7161,7182,7351,7710,7752,7775,7779,7914,8227,8361,8586,8785,8807,8825,8840,8885,8961,9051,9588,9724,9883,9918,9989,10037,10234,10348,10348,10465,10505,10544,10599,10619,10833,10897,11032,11072,11128,11410,11456,11489,11665,11817,11838,11849,11914,11922,12142,12217,12404,12427,12457,12466,12523,12576,12672,12701,12742,12792,12950,13193,13193,13202,13346,13447,13888,14082,14132,14344,14454,14577,14728,14820,14938,15096,15179,15273,15345,15355,15373,15581,15630,15813,15840,16015,16052,16708,16763,16770,16927,16938,16966,16971,16982,17009,17169,17227,17483,17560,17649,17837,17904,18038,18081,18118,18325,18369,18599,18880,18880,18911,19082,19245,19278,19363,19487,19614,19715,19851,20257,20267,20337,20378,20381,20497,20555,20600,20637,20655,20715,20973,21034,21163,21300,21375,21525,21587,21654,21713,21744,21756,22178,22188,22215,22298,22345,22401,22415,22502,22530,22867,22935,23013,23076,23137,23154,23230,23596,23801,23880,24147,24213,24268,24430,24446,24447,24512,24571,24677,24685,24692,24735,24867,24873,24917,24945,24973,24985,25053,25069,25077,25345,25405,25416,25511,25559,25561,25603,25693,25805,25846,26018,26398,26448,26476,26479,26589,26631,27215,27237,27749,28065,28117,28298,28401,28653,28809,28827,28871,28936,29008,29014,29038,29263,29323,29521,29539,29707,29859,29863,29879,29902,30283,30448,30454,30613,30776,30832,30944,31195,31196,31207,31272,31404,31460,31529,31699,31733,32159,32200,32299,32706,32714,32769,32807,32829,32838,32919,33047,33087,33214,33256,33402,33478,33657,33779,33928,34007,34024,34115,34130,34193,34328,34397,34451,34595,34699,34711,34743,34820,34826,35058,35104,35135,35219,35445,35531,35578,35704,35808,35844,35867,35895,36246,36436,36543,36768,36866,36900,36977,37054,37090,37335,37528,37671,37976,38018,38232,38233,38267,38442,38657,38693,38840,38936,38983,39265,39375,39401,39624,39633,39740,39756,39799,39899,39924,40065,40167,40183,40281,40367,40392,40441,40582,40948,41003,41042,41209,41487,41584,41592,41629,41734,41819,41913,42351,42446,42494,42609,42652,42811,42911,42952,43166,43182,43316,43410,43439,43547,43555,43572,43605,43731,43762,43993,44030,44041,44109,44354,44524,44675,44698,44734,44748,44832,44935,44937,45011,45146,45249,45295,45536,45638,45757,46130,46224,46268,46428,46507,46570,46574,47042,47129,47157,47175,47259,47333,47456,47472,47485,47527,47557,47603,47765,47782,47791,48011,48159,48184,48205,48268,48391,48461,48666,48715,48748,48783,49012,49440,49443,49525,49589,49804,50003,50200,50336,50363,50766,50862,50955,50966,50990,51096,51221,51303,51374,51611,51780,51809,52080,52091,52093,52329,52369,52390,52467,52569,52666,52861,52941,53121,53463,53514,53624,53662,53728,53896,53970,54263,54325,54492,54519,54527,54668,54737,54823,54880,54945,54997,55015,55073,55268,55363,55383,55385,55439,55477,55573,55591,55608,55613,55628,55755,55771,56326,56533,56548,56640,56989,57057,57093,57108,57162,57216,57261,57342,57430,57484,57567,57602,57629,57710,57770,57802,57814,58098,58351,58426,58428,58444,58697,58804,58909,58918,58919,58982,58996,59074,59085,59172,59174,59196,59342,59578,59613,59640,59667,59743,60137,60347,60420,60543,60575,60594,60713,60884,60932,60941,61256,61290,61328,61347,61445,61692,61693,61820,61838,61873,61938,61997,62048,62213,62316,62398,62430,62477,62483,62505,62518,62681,62722,62764,62790,62828,62829,62929,62969,63137,63278,63315,63400,63506,63539,63542,63664,63946,63973,63996,64027,64070,64232,64273,64443,64484,64536,64598,64847,64901,65069,65532,65549,65807,65869,65898,66038,66134,66511,66530,66542,66577,66597,66881,66916,67002,67187,67301,67461,67499,67637,67719,67810,67848,67941,67958,68108,68131,68133,68215,68290,68366,68378,68422,68572,68763,68922,68924,69191,69289,69328,69450,69451,69487,69491,69721,69972,70145,70186,70277,70320,70443,70576,70692,70737,70771,70842,70876,71113,71125,71438,71791,72102,72243,72284,72406,72449,72792,72819,72877,72925,72972,73065,73096,73193,73198,73462,73514,73548,73572,74253,74301,74423,74536,74639,74781,74866,75419,75445,75449,75663,75712,75786,75836,75880,76061,76387,76478,76495,76685,76888,77265,77309,77494,77617,77832,77914,77970,77987,78230,78259,78260,78278,78399,78526,78786,78845,78884,78972,79099,79148,79185,79208,79248,79294,79305,79319,79374,79593,79658,79821,79958,80009,80034,80043,80096,80269,80388,80416,80434,80636,80642,80826,80897,80979,81206,81209,81229,81337,81368,81490,81576,81977,82028,82030,82476,82535,82708,82900,83114,83303,83336,83422,83548,83599,83688,83720,83995,84013,84121,84157,84194,84238,84295,84444,84612,84696,84698,84726,84732,84754,84898,84915,84947,84958,84999,85005,85098,85165,85227,85331,85340,85600,85754,85868,85872,86081,86147,8614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Returns: 199764
{0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,48,48,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,60,61,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,69,70,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,82,82,83,83,84,84,85,85,86,86,87,87,88,88,89,89,90,90,91,91,92,92,93,93,94,94,95,95,96,96,97,97,98,98,99,99,100,100,101,101,102,102,103,103,104,104,105,105,106,106,107,107,108,108,109,109,110,110,111,111,112,112,113,113,114,114,115,115,116,116,117,117,118,118,119,119,120,120,121,121,122,122,123,123,124,124,125,125,126,126,127,127,128,128,129,129,130,130,131,131,132,132,133,133,134,134,135,135,136,136,137,137,138,138,139,139,140,140,141,141,142,142,143,143,144,144,145,145,146,146,147,147,148,148,149,149,150,150,151,151,152,152,153,153,154,154,155,155,156,156,157,157,158,158,159,159,160,160,161,161,162,162,163,163,164,164,165,165,166,166,167,167,168,168,169,169,170,170,171,171,172,172,173,173,174,174,175,175,176,176,177,177,178,178,179,179,180,180,181,181,182,182,183,183,184,184,185,185,186,186,187,187,188,188,189,189,190,190,191,191,192,192,193,193,194,194,195,195,196,196,197,197,198,198,199,199,200,200,201,201,202,202,203,203,204,204,205,205,206,206,207,207,208,208,209,209,210,210,211,211,212,212,213,213,214,214,215,215,216,216,217,217,218,218,219,219,220,220,221,221,222,222,223,223,224,224,225,225,226,226,227,227,228,228,229,229,230,230,231,231,232,232,233,233,234,234,235,235,236,236,237,237,238,238,239,239,240,240,241,241,242,242,243,243,244,244,245,245,246,246,247,247,248,248,249,249,250,250,251,251,252,252,253,253,254,254,255,255,256,256,257,257,258,258,259,259,260,260,261,261,262,262,263,263,264,264,265,265,266,266,267,267,268,268,269,269,270,270,271,271,272,272,273,273,274,274,275,275,276,276,277,277,278,278,279,279,280,280,281,281,282,282,283,283,284,284,285,285,286,286,287,287,288,288,289,289,290,290,291,291,292,292,293,293,294,294,295,295,296,296,297,297,298,298,299,299,300,300,301,301,302,302,303,303,304,304,305,305,306,306,307,307,308,308,309,309,310,310,311,311,312,312,313,313,314,314,315,315,316,316,317,317,318,318,319,319,320,320,321,321,322,322,323,323,324,324,325,325,326,326,327,327,328,328,329,329,330,330,331,331,332,332,333,333,334,334,335,335,336,336,337,337,338,338,339,339,340,340,341,341,342,342,343,343,344,344,345,345,346,346,347,347,348,348,349,349,350,350,351,351,352,352,353,353,354,354,355,355,356,356,357,357,358,358,359,359,360,360,361,361,362,362,363,363,364,364,365,365,366,366,367,367,368,368,369,369,370,370,371,371,372,372,373,373,374,374,375,375,376,376,377,377,378,378,379,379,380,380,381,381,382,382,383,383,384,384,385,385,386,386,387,387,388,388,389,389,390,390,391,391,392,392,393,393,394,394,395,395,396,396,397,397,398,398,399,399,400,400,401,401,402,402,403,403,404,404,405,405,406,406,407,407,408,408,409,409,410,410,411,411,412,412,413,413,414,414,415,415,416,416,417,417,418,418,419,419,420,420,421,421,422,422,423,423,424,424,425,425,426,426,427,427,428,428,429,429,430,430,431,431,432,432,433,433,434,434,435,435,436,436,437,437,438,438,439,439,440,440,441,441,442,442,443,443,444,444,445,445,446,446,447,447,448,448,449,449,450,450,451,451,452,452,453,453,454,454,455,455,456,456,457,457,458,458,459,459,460,460,461,461,462,462,463,463,464,464,465,465,466,466,467,467,468,468,469,469,470,470,471,471,472,472,473,473,474,474,475,475,476,476,477,477,478,478,479,479,480,480,481,481,482,482,483,483,484,484,485,485,486,486,487,487,488,488,489,489,490,490,491,491,492,492,493,493,494,494,495,495,496,496,497,497,498,498,499}

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Returns: 327985
{0,0,2,2,4,4,6,6,8,8,10,10,12,12,14,14,16,16,18,18,20,20,22,22,24,24,26,26,28,28,30,30,32,32,34,34,36,36,38,38,40,40,42,42,44,44,46,46,48,48,50,50,52,52,54,54,56,56,58,58,60,60,62,62,64,64,66,66,68,68,70,70,72,72,74,74,76,76,78,78,80,80,82,82,84,84,86,86,88,88,90,90,92,92,94,94,96,96,98,98,100,100,102,102,104,104,106,106,108,108,110,110,112,112,114,114,116,116,118,118,120,120,122,122,124,124,126,126,128,128,130,130,132,132,134,134,136,136,138,138,140,140,142,142,144,144,146,146,148,148,150,150,152,152,154,154,156,156,158,158,160,160,162,162,164,164,166,166,168,168,170,170,172,172,174,174,176,176,178,178,180,180,182,182,184,184,186,186,188,188,190,190,192,192,194,194,196,196,198,198,200,200,202,202,204,204,206,206,208,208,210,210,212,212,214,214,216,216,218,218,220,220,222,222,224,224,226,226,228,228,230,230,232,232,234,234,236,236,238,238,240,240,242,242,244,244,246,246,248,248,250,250,252,252,254,254,256,256,258,258,260,260,262,262,264,264,266,266,268,268,270,270,272,272,274,274,276,276,278,278,280,280,282,282,284,284,286,286,288,288,290,290,292,292,294,294,296,296,298,298,300,300,302,302,304,304,306,306,308,308,310,310,312,312,314,314,316,316,318,318,320,320,322,322,324,324,326,326,328,328,330,330,332,332,334,334,336,336,338,338,340,340,342,342,344,344,346,346,348,348,350,350,352,352,354,354,356,356,358,358,360,360,362,362,364,364,366,366,368,368,370,370,372,372,374,374,376,376,378,378,380,380,382,382,384,384,386,386,388,388,390,390,392,392,394,394,396,396,398,398,400,400,402,402,404,404,406,406,408,408,410,410,412,412,414,414,416,416,418,418,420,420,422,422,424,424,426,426,428,428,430,430,432,432,434,434,436,436,438,438,440,440,442,442,444,444,446,446,448,448,450,450,452,452,454,454,456,456,458,458,460,460,462,462,464,464,466,466,468,468,470,470,472,472,474,474,476,476,478,478,480,480,482,482,484,484,486,486,488,488,490,490,492,492,494,494,496,496,498,498,500,500,502,502,504,504,506,506,508,508,510,510,512,512,514,514,516,516,518,518,520,520,522,522,524,524,526,526,528,528,530,530,532,532,534,534,536,536,538,538,540,540,542,542,544,544,546,546,548,548,550,550,552,552,554,554,556,556,558,558,560,560,562,562,564,564,566,566,568,568,570,570,572,572,574,574,576,576,578,578,580,580,582,582,584,584,586,586,588,588,590,590,592,592,594,594,596,596,598,598,600,600,602,602,604,604,606,606,608,608,610,610,612,612,614,614,616,616,618,618,620,620,622,622,624,624,626,626,628,628,630,630,632,632,634,634,636,636,638,638,640,640,642,642,644,644,646,646,648,648,650,650,652,652,654,654,656,656,658,658,660,660,662,662,664,664,666,666,668,668,670,670,672,672,674,674,676,676,678,678,680,680,682,682,684,684,686,686,688,688,690,690,692,692,694,694,696,696,698,698,700,700,702,702,704,704,706,706,708,708,710,710,712,712,714,714,716,716,718,718,720,720,722,722,724,724,726,726,728,728,730,730,732,732,734,734,736,736,738,738,740,740,742,742,744,744,746,746,748,748,750,750,752,752,754,754,756,756,758,758,760,760,762,762,764,764,766,766,768,768,770,770,772,772,774,774,776,776,778,778,780,780,782,782,784,784,786,786,788,788,790,790,792,792,794,794,796,796,798,798,800,800,802,802,804,804,806,806,808,808,810,810,812,812,814,814,816,816,818,818,820,820,822,822,824,824,826,826,828,828,830,830,832,832,834,834,836,836,838,838,840,840,842,842,844,844,846,846,848,848,850,850,852,852,854,854,856,856,858,858,860,860,862,862,864,864,866,866,868,868,870,870,872,872,874,874,876,876,878,878,880,880,882,882,884,884,886,886,888,888,890,890,892,892,894,894,896,896,898,898,900,900,902,902,904,904,906,906,908,908,910,910,912,912,914,914,916,916,918,918,920,920,922,922,924,924,926,926,928,928,930,930,932,932,934,934,936,936,938,938,940,940,942,942,944,944,946,946,948,948,950,950,952,952,954,954,956,956,958,958,960,960,962,962,964,964,966,966,968,968,970,970,972,972,974,974,976,976,978,978,980,980,982,982,984,984,986,986,988,988,990,990,992,992,994,994,996,996,998}

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Returns: 299554
{0, 0, 1, 2, 3, 4, 4, 2, 1, 3, 6, 7 }

{1, 2, 3, 4, 5, 6, 6, 7, 8, 8, 8, 9, 10 }

Returns: 22
{0, 1, 2, 3 }

{1, 2, 2, 4, 4 }

Returns: 8
{0, 1, 2, 3, 4, 4, 6, 0, 2, 8, 0, 4, 11, 0, 14, 11, 8, 1, 10, 14, 13, 7, 11, 14, 2, 23, 2, 13, 11, 16, 5, 12, 4, 2, 15, 17, 30, 31, 37, 24, 13, 2, 12, 37, 10, 10, 23, 40, 19, 21, 31, 14, 42, 31, 30, 5, 55, 28, 8, 56, 9, 37, 14, 6, 26, 33, 6, 19, 27, 49, 31, 65, 65, 13, 16, 56, 12, 12, 66, 19, 20, 77, 44, 70, 80, 48, 26, 4, 55, 71, 33, 23, 52, 62, 70, 61, 1, 61, 56, 52, 63, 94, 92, 80, 39, 60, 87, 54, 4, 52, 109, 79, 67, 23, 33, 104, 41, 62, 73, 2, 109, 110, 88, 40, 33, 118, 104, 54, 95, 10, 77, 41, 39, 83, 97, 6, 53, 19, 40, 47, 44, 12, 96, 63, 109, 22, 133, 82, 63, 44, 19, 149, 87, 70, 65, 126, 135, 140, 16, 52, 112, 6, 83, 80, 161, 1, 147, 47, 141, 3, 148, 31, 127, 83, 37, 101, 132, 16, 1, 130, 151, 102, 169, 122, 129, 51, 123, 129, 60, 144, 128, 126, 164, 177, 108, 151, 101, 178, 150, 174, 139, 28, 46, 111, 17, 100, 106, 127, 79, 203, 100, 118, 135, 25, 64, 105, 145, 95, 104, 155, 110, 50, 8, 54, 98, 205, 136, 172, 73, 144, 1, 19, 137, 62, 225, 140, 182, 53, 101, 220, 186, 216, 130, 101, 207, 200, 56, 164, 33, 185, 48, 4, 61, 101, 124, 201, 112, 91, 69, 84, 250, 251, 250, 169, 201, 201, 106, 122, 28, 262, 147, 88, 137, 208, 27, 52, 30, 6, 83, 199, 215, 225, 255, 266, 10, 99, 265, 11, 43, 70, 163, 221, 245, 125, 83, 235, 71, 281, 161, 101, 180, 118, 170, 154, 202, 160, 161, 28, 142, 191, 279, 139, 0, 238, 213, 256, 37, 271, 46, 205, 317, 61, 169, 162, 179, 109, 284, 245, 258, 311, 182, 222, 11, 166, 85, 275, 266, 211, 332, 124, 161, 8, 171, 131, 58, 213, 316, 203, 71, 142, 350, 199, 345, 341, 11, 108, 259, 327, 263, 267, 171, 195, 201, 231, 177, 84, 8, 27, 229, 41, 152, 153, 280, 131, 364, 370, 166, 193, 175, 254, 292, 209, 235, 211, 60, 359, 359, 274, 259, 371, 115, 164, 149, 255, 193, 173, 158, 365, 316, 83, 120, 325, 112, 275, 146, 147, 385, 76, 287, 246, 357, 257, 171, 199, 145, 196, 318, 331, 395, 26, 267, 125, 97, 338, 210, 341, 125, 398, 130, 71, 317, 298, 398, 154, 137, 355, 364, 133, 10, 93, 279, 102, 411, 232, 330, 236, 258, 314, 117, 229, 28, 264, 339, 58, 84, 315, 209, 163, 49, 232, 35, 224, 128, 222, 374, 411, 41, 239, 389, 63, 380, 52, 175, 54, 192, 12, 19, 402, 4, 314, 125, 156, 420, 233, 57, 399, 391, 405, 38, 90, 349, 304, 411, 324, 389, 178, 335, 213, 448, 74, 383, 303, 480, 97, 267, 383, 405, 316, 453, 220, 53, 442, 169, 113, 192, 307, 128, 434, 132, 405, 327, 348, 486, 79, 478, 20, 271, 72, 27, 245, 162, 0, 507, 402, 92, 374, 146, 530, 533, 417, 362, 233, 475, 324, 207, 310, 414, 49, 330, 80, 286, 85, 11, 411, 290, 58, 234, 249, 327, 101, 165, 145, 388, 540, 432, 264, 164, 299, 544, 530, 549, 396, 244, 151, 434, 359, 55, 22, 501, 119, 443, 290, 361, 301, 220, 390, 394, 193, 251, 223, 68, 544, 133, 496, 99, 139, 456, 556, 277, 425, 294, 487, 238, 580, 179, 600, 483, 502, 156, 120, 83, 521, 344, 108, 493, 308, 551, 301, 205, 217, 282, 548, 285, 26, 97, 169, 38, 44, 207, 63, 432, 4, 463, 423, 426, 132, 485, 553, 628, 182, 622, 273, 88, 536, 153, 311, 457, 144, 220, 603, 398, 117, 251, 439, 486, 633, 260, 207, 482, 81, 333, 407, 283, 162, 392, 261, 294, 11, 666, 163, 257, 486, 424, 658, 632, 188, 539, 34, 329, 389, 389, 370, 51, 243, 623, 596, 326, 291, 72, 248, 44, 442, 392, 441, 135, 477, 463, 204, 411, 339, 81, 119, 529, 147, 331, 488, 469, 135, 240, 51, 548, 253, 710, 234, 544, 135, 186, 666, 240, 457, 62, 476, 315, 211, 299, 49, 709, 90, 195, 233, 518, 85, 334, 314, 459, 389, 328, 220, 174, 648, 546, 85, 650, 658, 723, 283, 149, 309, 351, 274, 616, 679, 197, 52, 363, 598, 39, 343, 194, 682, 203, 276, 250, 144, 348, 581, 599, 404, 709, 674, 590, 66, 76, 138, 707, 13, 9, 383, 548, 103, 149, 701, 162, 731, 620, 595, 558, 410, 732, 763, 308, 548, 621, 329, 108, 102, 491, 115, 247, 750, 221, 663, 93, 84, 378, 466, 788, 307, 239, 34, 480, 203, 114, 211, 781, 795, 56, 302, 707, 719, 102, 34, 80, 251, 545, 463, 441, 260, 672, 354, 129, 500, 467, 782, 487, 452, 776, 806, 525, 593, 716, 419, 71, 687, 788, 661, 433, 514, 175, 66, 273, 291, 177, 459, 708, 195, 740, 667, 406, 858, 147, 711, 283, 440, 300, 212, 128, 114, 162, 232, 807, 54, 682, 58, 153, 13, 572, 711, 112, 448, 872, 694, 306, 437, 794, 96, 691, 554, 686, 47, 475, 705, 419, 848, 348, 270, 865, 829, 50, 523, 504, 104, 689, 508, 134, 506, 41, 379, 872, 335, 438, 891, 883, 256, 784, 692, 418, 216, 798, 77, 655, 644, 458, 111, 439, 539, 33, 899, 253, 434, 525, 818, 189, 255, 269, 837, 866, 17, 893, 35, 346, 95, 839, 26, 188, 235, 935, 536, 886, 230, 709, 858, 657, 448, 612, 784, 789, 333, 156, 836, 398, 343, 879, 660, 911, 771, 839, 126, 556, 780, 215, 93, 315, 135, 913, 270, 571, 103, 917, 686, 709, 955, 956, 878, 56, 8, 109, 768, 463, 182, 114, 971, 907, 665, 292, 27, 544, 612, 532 }

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100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000 }

Returns: 1075068
{0, 1, 0, 0, 4, 3 }

{1, 2, 8, 10, 1000, 1000, 1500 }

Returns: 2010

Statistics

Problem Statement for "StonesOnATreeDiv2"

Problem Statement

Definition

Constraints

Examples