TopCoder Statistics - Problem Statement

Problem Statement

Bearland consists of N cities, numbered 0 through N-1. For each i, city i is inhabited by x[i] citizens. You are given the int[] x with N elements.

There are M bidirectional roads. Each road connects two different cities. No two roads connect the same pair of cities.

Do you know that feeling when your fridge is full and you still don't know what to eat (and you eventually order a pizza)? The citizens of Bearland have the same feeling whenever they have to choose from too many roads. Thus, the road network in Bearland was designed in such a way that every city is incident to at most three roads. In other words, each city is directly connected to at most three other cities.

You are given the description of the road network: the int[]s a and b with M elements each. For each valid i, there is a road that connects cities a[i] and b[i].

All roads in Bearland were built a long time ago and their current condition is quite bad. Limak, a public transport inspector, can choose a few of the existing roads and renovate them. You are given the int K: the maximum number of roads Limak can renovate.

After the renovation, each citizen will be happy if and only if at least one of the roads from their city was renovated. Find and return the maximum number of happy citizens.

Definition

Class:: BearKRoads
Method:: maxHappy
Parameters:: int[], int[], int[], int
Returns:: int
Method signature:: int maxHappy(int[] x, int[] a, int[] b, int K)
(be sure your method is public)

Notes

N will be between 2 and 1000, inclusive.
x will contain exactly N elements.
Each element in x will be between 1 and 999, inclusive.
M will be between 1 and 1000.
a and b will each contain exactly M elements.
Each element in a and in b will be between 0 and N-1, inclusive.
No road will connect a city to itself.
No two roads will connect the same pair of cities.
Every city will be incident to at most three roads.
K will be between 1 and 7, inclusive.
K will not be greater than M.

Constraints

Examples

{10, 50, 50, 10}

{0, 1, 2}

{1, 2, 3}

1

Returns: 100

There are four cities and three roads: 0-1, 1-2 and 2-3. We can only renovate at most one road. It is optimal to renovate the road 1-2. This makes 100 citizens happy.
{10, 50, 50, 10}

{0, 1, 2}

{1, 2, 3}

2

Returns: 120

This is the same country but now we have K=2. Now the optimal solution is to renovate the roads 0-1 and 2-3. This makes all 120 citizens happy.
{42, 100, 500}

{0, 1}

{1, 2}

2

Returns: 642

We can renovate both roads. All 42 + 100 + 500 = 642 citizens will be happy.
{42, 100, 500, 999, 999, 999, 999}

{0, 1}

{1, 2}

2

Returns: 642
{969,467,808,263,179,428,595,557,406,80}

{5,4,9,7,9,3}

{4,0,8,8,0,1}

3

Returns: 2841
{1,2,3,4}

{0,0,0}

{1,2,3}

2

Returns: 8
{1,2,3,4,2}

{0,0,0,1}

{1,2,3,4}

2

Returns: 9
{8,18,14,10,7,16,4,19,6,12,17,10,12,3,15,8,15,12}

{0,15,1,5,7,3,17,4,15,3,13,14,4,7}

{8,10,16,13,2,10,2,10,11,13,0,9,3,6}

7

Returns: 173
{10, 50, 50, 10}

{0, 1, 2}

{1, 2, 3}

3

Returns: 120
{50,40,30,20,10}

{2}

{1}

1

Returns: 70
{870,528}

{1}

{0}

1

Returns: 1398
{35,55,280,666,222}

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

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

3

Returns: 1258
{710,317,3,520,469,272,831,418,442,556}

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

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

3

Returns: 3280
{100,513,32,855,242,224,935,40,756,171,321,292,678,26,928,852,520,526,693,166,943,613,110,774,651,107,204,423,896,485,290,779,420,355,103,684,730,438,397,813,250,377,358,957,72,454,579,125,930,124}

{0,28,42,25,36,5,49,31,44,24,47,11,9,11,20,7,25,23,16,15}

{33,43,17,0,37,40,46,49,39,46,18,47,32,43,11,13,22,8,24,1}

3

Returns: 4748
{371,12,198,367,599,987,760,216,655,837,348,954,780,512,599,860,727,675,105,578,216,987,799,355,178,808,471,467,843,919,966,349,362,125,523,610,537,582,525,68,694,734,725,853,125,188,944,33,670,185}

{48,15,2,14,20,32,32,10,2,42,13,11,33,35,48,45,9,37,37,27,29,14,30,26,14,4,47,2,12,42,8,31,10,3,29,31,17,39,45,33,3,27,16,25,35,6,32,16,11,31}

{39,13,47,17,11,49,38,18,33,12,1,8,34,38,18,36,44,47,38,4,26,6,23,5,37,44,22,21,23,39,15,5,7,30,0,6,28,44,21,45,26,46,21,0,24,8,48,49,15,34}

3

Returns: 5046
{397,547,374,866,698,236,538,787,27,404,775,643,666,290,845,998,610,744,372,823,952,404,263,941,458,976,650,769,613,722,867,888,820,969,644,762,375,472,879,66,866,986,386,142,927,647,468,577,310,476}

{25,21,27,41,41,36,15,43,31,1,33,8,11,5,9,21,46,47,48,41,46,11,40,29,12,25,20,11,49,42,45,0,47,36,39,40,46,6,14,45,28,48,24,42,20,16,29,27,38,16,25,9,15,34,36,29,44,14,8,47}

{3,7,5,19,31,37,37,23,24,37,18,0,23,24,49,10,43,30,6,4,17,4,2,14,33,33,32,13,10,22,49,18,5,12,3,32,22,19,13,21,3,42,39,13,39,0,23,19,10,38,4,32,6,20,38,30,48,30,35,28}

3

Returns: 5591
{511,873,288,881,622,587,473,370,238,435,646,741,327,830,509,330,346,680,373,196,223,85,395,726,11,901,940,19,200,814,557,813,483,388,155,810,890,407,138,590,507,809,745,684,497,781,354,678,125,885}

{0,4,15,10,25,46,16,47,9,0,33,23,30,49,6,37,25,13,30,16,17,21,22,38,30,36,36,44,0,45,12,18,38,13,12,31,5,22,14,6,26,15,10,22,8,49,27,1,34,36,1,8,9,9,11,6,38,26,44,16,42,17,33,47,17,27,23,19,29,4,14,34,10,25,19}

{8,7,28,40,1,35,23,37,2,35,20,41,2,11,3,24,42,29,40,5,21,28,28,46,41,48,18,11,29,31,44,2,27,34,37,43,24,41,42,20,3,14,18,47,48,7,39,49,40,12,39,45,24,43,5,4,26,20,19,46,48,39,13,32,32,45,7,21,31,32,3,35,33,15,43}

3

Returns: 5239
{761,171,576,113,94,995,118,54,370,510,377,201,722,840,734,283,785,324,620,399,699,481,399,513,639,211,426,742,816,858,714,949,815,387,774,159,475,178,33,525,59,597,449,717,188,499,940,959,12,518,140,646,726,122,258,403,464,901,809,76,231,801,946,609,289,365,768,122,228,553,48,331,85,135,389,786,271,375,736,322,365,312,238,310,933,853,271,362,531,789,514,177,487,563,522,415,457,78,740,889,368,212,502,171,474,120,319,27,768,145,981,462,963,114,208,15,564,569,858,659,8,270,541,937,904,733,182,509,800,717,67,944,146,479,1,295,706,211,617,242,853,943,993,546,589,14,765,254,863,343,329,30,990,89,74,198,19,864,400,392,67,153,936,800,30,396,440,960,233,201,839,144,32,813,549,144,898,54,519,778,600,530,149,645,702,616,747,399,171,841,874,430,814,491,743,824,160,172,752,777,618,336,877,837,54,579,51,661,207,742,475,757,734,619,4,740,806,366,782,679,927,999,112,993,338,932,418,956,155,919,326,974,4,264,233,363,890,339,551,878,612,899,547,286,807,474,152,570,984,506,876,405,929,159,814,128,402,914,136,501,195,479,283,189,934,537,232,550,816,323,417,817,584,478,472,20,272,736,554,912,555,335,948,555,73,869,946,969,356,489,636,672,798,607,312,609,524,679,377,373,984,910,621,774,406,719,785,271,152,61,968,909,513,741,581,974,507,75,201,193,534,997,447,133,847,718,633,99,634,148,868,982,108,882,641,784,195,647,973,744,807,86,637,522,798,438,601,674,737,987,271,173,81,500,660,992,122,36,780,475,37,515,778,454,360,560,521,801,976,738,583,328,498,447,176,797,513,182,39,957,533,96,892,80,319,698,735,594,167,244,728,81,666,437,997,549,853,203,827,723,961,790,767,615,235,873,121,326,760,21,93,57,634,973,48,644,511,261,593,318,552,455,23,533,803,938,66,543,571,821,308,638,889,277,151,494,927,740,300,452,521,336,43,952,606,371,399,416,202,979,237,906,450,81,545,402,592,806,336,116,722,245,683,875,197,524,984,6,257,47,305,848,260,378,198,374,45,681,826,237,848,561,4,315,765,129,825,722,472,742,427,320,362,924,36,895,27,992,404,994,632,487,298,870,121,307,979,671,920,135,940,231,984,234,424,705,33,366,921,401,344,40,384,207,872,290,481,537,376,78,289,193,76,360,410,877,512,9,326,234,981,775,174,485,25,776,650,498,557,634,660,763,874,444,582,830,649,351,632,473,520,563,387,295,397,142,751,203,203,555,680,941,706,374,514,182,241,364,579,788,359,525,358,208,118,856,678,166,548,732,834,615,558,677,379,162,772,518,504,903,624,140,674,725,695,512,934,181,574,79,324,700,107,833,356,77,54,321,237,283,171,827,418,721,489,556,466,493,561,649,355,687,712,550,882,47,997,90,606,317,482,966,774,787,75,386,509,12,754,698,929,963,997,148,537,606,242,164,541,997,791,288,120,481,230,476,552,859,389,447,571,126,34,28,692,318,613,144,62,642,289,301,870,632,582,372,530,894,312,560,146,99,20,696,585,228,348,910,483,231,394,2,194,345,459,938,807,884,417,502,603,793,932,683,554,11,889,405,106,597,161,336,428,883,868,243,662,393,54,700,40,667,498,688,992,64,36,173,566,119,725,111,925,920,589,911,314,994,947,982,219,364,410,535,633,720,530,196,841,129,523,283,990,85,393,765,113,140,575,627,652,749,610,520,813,27,600,705,558,189,303,120,981,109,524,463,873,888,313,15,315,509,821,688,240,844,178,299,307,625,910,44,157,32,371,686,925,649,461,652,903,527,975,747,439,443,576,406,775,344,383,998,557,613,125,617,229,843,44,953,262,137,275,768,978,351,393,523,877,145,183,190,598,1,816,56,996,797,19,646,781,464,952,443,71,192,792,942,43,666,51,572,615,287,886,977,907,682,568,873,557,665,356,321,19,405,36,217,179,825,847,739,823,762,228,158,486,740,872,233,327,507,286,155,994,638,74,803,279,210,763,302,35,587,765,277,412,511,833,463,190,2,952,562,581,969,583,853,60,585,355,879,72,990,663,258,126,987,445,881,229,277,806,68,43,861,529,565,360,150,64,467,312,199,600,756,894,745,894,638,933,278,257,758,17,248,250,902,622,379,396,43,616,584,539,230,946,254,925,351,108,276,461,271,951,410,798,966,122,844,201,424,915,808,360,563,555,74,146,940,651,600,494,165,223,195,363,644,72,181}

{286,251,656,300,785,472,955,698,827,165,439,449,678,301,95,454,606,874,858,109,410,639,499,655,312,344,981,342,459,37,768,638,828,257,458,929,248,786,875,805,159,107,828,45,235,364,453,580,319,594,637,488,299,980,533,671,384,645,377,306,345,994,288,479,416,508,817,345,743,293,931,36,0,165,770,902,152,953,339,445,29,330,390,397,733,620,616,541,438,377,750,401,6,306,363,266,477,701,976,687}

{260,131,533,756,132,967,90,178,76,565,968,34,650,270,906,848,632,956,631,450,779,528,144,517,771,713,56,686,542,215,507,504,375,303,710,347,406,515,384,749,539,975,166,5,168,620,657,481,22,249,335,520,119,267,7,267,153,108,243,673,500,736,486,624,597,455,705,887,385,126,988,180,192,490,650,301,402,297,838,79,97,271,196,69,714,257,361,140,378,72,791,222,505,168,962,814,720,829,873,803}

3

Returns: 5198
{384,490,904,511,209,133,598,355,523,537,354,612,222,852,645,419,868,936,222,549,304,828,476,997,712,939,371,293,526,613,127,628,364,453,648,337,787,545,485,764,929,727,311,613,207,432,453,79,64,548,973,359,771,411,120,345,393,19,741,435,651,365,961,207,23,974,664,3,670,511,619,440,470,799,326,288,989,806,157,144,844,279,797,779,473,457,377,132,270,856,67,482,92,576,993,523,842,882,938,657,684,116,985,66,467,927,719,634,148,916,566,479,580,841,206,810,450,921,992,118,908,620,363,883,837,839,903,187,262,516,942,379,96,573,575,633,258,554,260,779,967,289,306,312,517,707,161,842,424,42,825,623,495,179,118,637,171,628,750,966,484,963,639,239,394,180,987,867,730,586,715,49,794,399,253,529,375,293,580,483,473,45,23,849,514,517,197,23,605,433,480,710,247,287,721,847,882,914,516,420,450,920,877,251,181,811,344,458,869,643,482,40,400,498,778,289,651,524,768,418,449,153,485,348,32,325,877,783,959,17,963,358,16,629,65,625,959,927,241,459,186,865,549,873,844,523,26,632,367,82,435,885,79,458,320,944,86,963,366,109,567,451,35,249,627,443,911,178,851,67,895,875,715,576,269,537,940,247,73,940,731,905,939,609,826,303,215,898,878,678,778,765,216,453,375,541,243,417,447,723,426,99,68,909,79,66,281,506,309,896,608,132,88,953,575,839,194,195,607,61,995,576,99,625,672,360,848,522,958,151,630,992,809,487,271,344,60,702,316,377,453,603,543,434,170,828,554,520,823,916,527,370,779,489,405,414,675,46,905,301,259,785,293,882,603,561,149,620,620,830,915,247,319,300,200,5,45,703,111,483,3,569,762,842,260,871,672,161,875,987,952,994,876,490,447,625,501,732,504,218,822,518,385,910,950,971,367,628,404,174,264,204,58,212,745,762,599,579,447,686,706,983,374,944,714,765,137,527,378,956,992,382,440,583,130,522,261,490,984,487,490,99,751,273,308,265,720,259,179,476,505,894,297,645,660,486,530,812,195,443,164,208,223,218,233,160,86,964,128,258,255,301,65,896,504,146,826,234,885,79,408,17,34,783,300,679,894,128,122,901,194,211,214,926,860,218,780,954,311,510,138,501,235,802,398,911,690,446,463,230,413,706,895,983,798,280,861,74,62,110,969,940,180,721,705,983,651,656,188,294,416,559,69,837,810,257,605,495,457,837,454,794,553,924,444,705,342,146,544,695,988,519,787,854,215,498,612,74,529,68,204,896,482,377,94,91,558,547,59,405,814,939,477,517,447,723,660,830,856,128,80,645,999,253,644,535,67,591,929,758,554,716,19,289,319,646,918,867,220,12,617,257,501,326,36,892,686,276,857,942,507,538,684,34,272,552,638,989,356,829,370,952,488,809,898,391,782,185,686,591,263,53,807,184,697,140,846,590,663,782,654,769,756,54,597,868,380,317,275,846,357,417,651,945,428,984,954,272,417,973,679,793,15,133,609,450,992,543,966,319,402,889,792,838,836,34,407,633,41,105,168,144,642,126,143,526,316,578,379,613,251,936,98,990,434,277,267,809,630,159,179,929,445,102,394,971,328,702,612,162,963,129,219,655,730,183,455,752,728,261,909,883,981,502,315,367,645,192,103,482,176,613,669,988,93,79,583,570,520,425,132,901,654,89,879,512,666,569,201,957,105,202,489,791,837,507,308,79,208,165,43,450,887,406,677,216,592,638,866,914,151,204,944,736,838,877,614,729,336,426,166,690,487,388,221,619,729,700,631,305,819,567,885,407,326,444,446,18,956,316,985,902,745,486,121,243,705,223,195,663,603,709,85,801,680,212,660,907,522,797,807,482,693,133,502,577,563,359,491,752,731,943,305,528,797,761,390,356,905,351,988,916,402,70,314,71,196,11,345,85,902,632,498,836,60,755,564,269,260,67,976,309,441,39,845,160,714,441,469,182,77,227,116,897,940,414,921,697,29,386,581,497,250,744,556,616,18,812,570,569,851,464,67,35,234,771,113,961,684,766,557,291,160,367,664,822,537,174,357,990,712,605,108,10,55,505,846,705,962,105,567,50,535,139,409,440,179,644,693,731,145,92,794,578,636,834,353,304,190,632,561,763,642,94,761,377,278,366,943,440,529,590,822,118,589,573,27,592,170,149,118,878,246,801,168,503,891,264,412,939,7,352,351,323,518,564,734,931,453,442,47,413,743,408,160,220,905,346,960,495,419,782,370,10,897,268,566,654,472,157}

{181,257,533,952,638,708,848,96,48,259,307,693,907,405,114,742,795,833,358,671,62,199,837,185,309,773,891,665,441,262,301,602,175,730,189,404,869,9,529,515,114,65,989,948,648,89,626,718,277,778,662,65,539,214,358,511,479,133,995,208,970,914,768,767,453,931,158,465,324,651,262,643,903,41,926,445,641,162,657,596,476,878,890,274,234,746,567,247,267,737,665,165,123,61,282,643,505,448,739,479}

{662,777,927,662,44,420,273,737,982,499,247,310,506,80,646,564,14,122,521,817,372,350,536,459,542,138,367,554,77,970,920,31,211,681,421,56,8,311,925,237,384,661,168,757,341,788,534,141,936,882,700,675,241,518,14,395,448,153,567,32,688,920,950,325,233,745,182,219,929,393,957,274,82,386,352,550,729,257,5,682,433,716,272,49,532,325,672,856,268,341,350,731,860,310,273,536,550,753,807,793}

7

Returns: 12683
{778,967,789,309,988,932,429,660,203,66,84,430,517,67,336,636,376,803,139,292,80,928,277,665,203,508,53,487,159,51,158,160,457,448,985,879,880,422,162,11,989,757,23,74,653,447,937,927,208,961,355,265,14,810,32,858,520,130,94,73,134,473,14,328,695,433,33,370,228,953,824,678,718,895,63,980,581,750,219,96,866,122,758,869,999,274,433,791,80,533,663,708,355,573,125,44,877,730,161,39,80,893,380,642,661,413,335,264,136,906,318,940,261,864,567,684,743,322,396,956,228,506,445,426,627,612,813,513,666,128,258,289,322,252,619,259,111,738,911,273,725,897,545,739,126,18,121,756,108,745,400,588,430,173,86,455,228,531,203,638,260,991,799,219,12,252,869,269,450,805,737,957,670,143,289,327,258,24,366,36,76,291,900,328,126,685,754,818,521,850,541,177,672,340,561,712,189,47,202,818,584,697,799,748,517,352,486,910,930,929,249,496,854,501,860,928,915,962,681,952,970,487,290,407,571,928,30,308,376,95,949,303,525,746,867,593,106,629,750,949,934,801,193,279,734,924,669,824,71,535,793,631,329,663,181,867,673,684,812,306,942,459,435,436,320,796,186,663,61,418,213,65,96,620,577,371,372,820,121,291,281,177,692,165,178,365,230,767,275,125,173,738,491,565,813,198,967,139,917,446,282,218,77,938,538,24,789,371,278,549,41,75,428,836,777,381,13,310,715,741,693,851,992,973,240,291,90,993,646,973,222,106,601,198,622,511,918,622,702,428,777,475,452,876,456,302,197,797,271,632,940,952,873,400,897,455,886,876,26,93,980,787,575,868,162,242,97,463,795,812,29,786,487,82,505,505,845,124,974,461,581,965,949,101,938,610,288,659,161,253,27,239,612,581,251,234,216,546,256,749,128,465,379,492,710,206,579,814,596,99,698,307,862,757,141,890,694,882,640,694,420,726,858,312,253,581,204,214,840,192,174,757,809,214,688,748,34,153,987,799,134,660,954,677,639,351,927,524,27,351,36,672,444,790,689,205,537,973,266,11,877,201,383,492,526,585,163,576,69,987,227,554,94,881,521,638,224,845,990,116,173,86,822,898,247,835,725,442,459,262,458,8,57,475,845,647,130,348,561,541,328,78,432,29,589,485,951,822,278,667,802,389,413,842,411,425,884,578,600,341,425,323,960,355,544,135,860,295,264,352,609,493,426,322,597,44,150,365,82,384,900,138,576,902,102,668,665,331,714,878,613,291,778,103,379,813,794,720,328,195,37,603,344,33,555,349,566,651,360,787,868,467,60,463,858,218,670,58,587,394,315,711,416,631,495,409,362,651,83,997,760,104,50,19,200,776,165,501,528,628,561,400,623,664,444,494,150,493,978,594,310,356,347,575,454,384,420,234,360,237,123,196,159,382,959,304,136,606,777,716,967,835,204,404,329,83,641,364,925,199,492,284,620,77,986,556,335,420,976,77,791,29,215,657,56,472,546,558,265,275,35,700,267,503,644,256,555,358,895,17,970,993,724,426,567,674,292,250,618,779,945,993,98,972,72,419,378,83,747,693,866,616,949,469,995,306,499,124,783,710,291,782,164,723,336,159,388,369,847,533,233,231,895,407,674,871,299,25,23,472,850,547,659,7,821,153,672,698,184,656,491,168,543,842,273,693,232,414,32,327,6,441,588,208,94,371,175,815,275,570,293,613,884,767,131,16,853,526,451,406,314,183,996,297,30,709,99,354,620,589,841,405,977,334,325,160,130,469,863,615,729,934,925,100,314,854,591,71,704,416,575,26,797,345,819,183,734,258,821,760,849,507,531,42,385,461,50,170,472,936,957,960,871,661,831,183,356,271,504,181,252,56,986,391,45,480,807,469,519,345,39,690,708,391,854,687,346,368,972,524,62,732,199,283,659,318,710,884,326,676,799,186,387,487,76,645,223,168,829,924,131,523,191,181,84,800,946,227,55,920,222,587,680,237,963,721,117,612,452,506,856,348,53,788,354,844,979,418,162,919,543,632,459,771,307,190,264,921,634,714,624,129,379,574,493,752,712,602,337,666,596,203,656,862,61,820,956,314,444,434,560,924,127,399,913,893,48,303,989,281,126,35,566,499,161,927,703,138,662,171,477,53,366,734,677,225,6,830,389,530,22,28,49,152,37,321,807,858,37,889,464,530,56,17,496,911,363,569,335,603,130,907,954,810,792,664,2,601,770,645,893,523,976,120,140,455,683,997,271,796,800,765,303,411,827,487,380,76,477,882}

{29,741,159,985,598,819,309,602,945,446,700,499,913,879,463,276,360,419,907,588,718,27,539,483,908,416,250,377,314,328,126,44,442,398,363,858,300,696,667,192,180,981,940,89,83,928,696,948,295,941,465,13,304,61,855,364,945,128,19,324,421,546,589,416,759,315,623,217,953,817,448,69,158,733,731,565,210,615,502,855,737,530,474,380,113,150,979,244,914,478,354,367,278,575,133,638,597,195,377,529,584,396,492,952,742,137,873,655,926,389,266,313,32,743,439,855,181,753,589,892,598,359,877,960,916,723,456,740,893,543,393,791,927,593,188,515,747,629,584,131,505,329,301,602,237,690,509,83,848,745,367,179,649,970,379,42,819,985,884,429,887,76,860,106,664,188,39,694,619,742,480,811,373,179,287,831,398,181,916,439,980,426,711,273,30,749,15,374,750,557,407,268,412,91,644,239,747,91,876,668,836,165,655,252,849,465,992,494,9,14,165,212,722,184,496,172,422,282,792,921,278,646,758,54,70,34,17,466,652,547,897,3,93,615,318,823,630,898,228,623,768,385,39,817,62,525,160,911,624,738,966,531,909,255,231,991,760,331,461,820,993,962,95,729,841,377,885,242,359,14,981,216,509,813,946,92,93,66,309,42,911,261,718,300,403,9,701,478,931,399,558,12,963,55,399,739,586,287,793,795,419,335,980,726,477,55,839,686,117,889,461,436,864,458,717,750,795,748,421,89,629,315,52,404,756,373,151,850,610,629,226,904,482,148,651,707,491,534,341,709,407,900,604,769,456,984,758,894,710,311,768,452,938,386,690,580,234,643,538,192,166,769,426,379,306,209,594,257,791,163,927,987,759,543,905,716,230,975,653,343,50,604,644,50,975,26,529,981,705,940,922,960,352,315,457,825,504,127,415,519,84,434,210,57,444,9,50,517,65,396,309,233,737,370,927,514,331,895,814,883,331,507,973,992,664,444,463,456,527,256,916,569,701,880,390,56,982,108,440,551,22,570,163,301,584,932,718,107,941,156,444,625,575,931,633,306,510,278,282,647,134,595,836,522,310,830,127,532,52,218,43,500,892,172,24,850,563,34,946,594,781,884,626,267,688,229,376,335,754,593,340,91,292,135,602,451,203,412,407,353,189,887,805,287,993,948,25,875,973,959,829,769,208,833,286,867,992,530,614,918,163,97,679,454,593,438,781,553,268,616,399,282,948,507,138,261,0,101,924,31,875,61,405,135,858,747,380,580,875,525,93,226,619,239,96,215,32,577,390,123,111,442,572,396,513,73,552,188,800,982,333,908,505,841,127,755,895,818,646,253,252,586,971,890,349,192,63,35,737,73,867,488,928,419,16,566,56,776,39,644}

{201,317,639,591,503,352,681,840,394,431,178,144,96,20,571,659,861,97,24,941,242,795,917,545,49,80,49,36,896,435,812,554,553,100,211,866,853,120,207,815,557,787,51,970,601,235,223,797,43,290,658,972,806,275,653,984,818,507,56,627,825,67,723,881,307,68,220,751,975,637,465,673,52,803,732,617,935,668,528,360,63,216,223,374,654,235,680,300,562,963,421,840,856,353,597,87,607,94,925,221,540,779,390,657,929,934,693,994,235,806,440,82,806,476,653,371,342,695,165,802,577,501,357,305,945,428,437,136,872,693,652,512,330,437,365,58,771,459,979,34,758,276,46,748,386,441,66,248,211,793,764,146,130,775,186,111,540,733,432,291,259,636,808,150,467,976,879,556,215,533,43,368,780,413,872,288,109,92,491,260,2,284,275,401,869,257,438,217,524,826,724,471,360,139,775,523,427,490,92,680,500,779,549,929,349,813,367,567,861,386,805,130,334,699,514,223,458,351,97,694,119,271,327,892,171,869,501,49,143,864,173,454,132,871,59,425,549,790,460,899,45,173,433,569,907,939,752,254,936,317,667,786,682,105,783,954,136,745,738,105,134,222,643,542,94,76,599,171,739,15,917,608,438,979,531,199,585,630,493,559,321,917,802,636,442,473,13,923,797,523,512,571,463,511,528,414,88,931,20,835,130,751,200,560,393,724,780,831,499,199,326,938,38,822,172,382,591,94,276,531,168,880,972,684,688,455,676,994,46,47,578,786,561,546,573,886,106,440,357,133,78,295,826,26,145,501,835,224,221,351,903,730,98,435,676,482,677,499,622,137,100,889,673,989,183,779,532,805,630,350,313,263,724,374,246,910,108,323,854,508,205,743,65,677,799,122,977,925,996,749,255,189,667,748,828,735,663,787,488,761,7,506,293,715,349,431,881,466,290,539,98,852,572,732,78,417,138,369,638,113,462,650,693,990,119,641,391,928,461,591,65,625,427,502,84,912,579,330,389,302,15,549,87,598,527,820,691,115,831,368,244,898,904,48,999,381,659,982,835,548,177,904,453,290,443,490,861,864,298,196,388,154,585,920,976,525,186,766,622,659,376,627,195,969,926,547,790,410,984,99,733,964,401,488,848,75,423,582,571,913,680,959,930,441,186,930,608,932,771,569,745,71,625,783,486,753,149,430,328,660,786,515,392,608,45,1,632,812,417,216,640,997,90,959,174,277,882,293,537,414,22,590,859,754,528,738,580,47,138,752,125,957,118,761,761,369,45,12,622,627,884,222,431,40,706,772,562,857,131,536,385,520,938,90,964,735,334,269,638,18,790,508,563,74,387,343,828,540,887,898,628,840,110,834,834,522,670,162,891,432}

2

Returns: 3873
{630,76,269,979,861,117,384,415,311,620,637,704,446,253,741,860,146,551,335,997,923,778,781,426,120,321,779,138,117,740,219,635,285,984,49,10,108,334,540,830,126,679,544,624,575,150,886,134,173,576,523,305,850,643,489,463,445,448,44,457,57,772,67,564,487,756,492,291,625,84,270,602,422,456,197,508,370,537,205,333,119,498,1,932,939,668,250,527,135,828,592,618,5,262,989,576,207,986,103,37,495,684,778,539,446,707,5,692,916,13,852,927,295,961,352,489,685,370,517,704,808,80,205,760,315,111,872,539,912,79,469,376,517,278,217,849,566,572,297,627,190,793,113,34,376,450,149,167,326,549,836,770,838,296,341,162,122,406,426,446,416,627,722,894,242,58,935,283,315,585,607,460,108,559,755,877,696,306,607,996,127,392,289,762,252,642,559,475,522,477,267,76,706,632,138,432,416,581,950,220,521,793,266,79,493,224,102,607,441,245,216,673,953,131,463,852,344,374,336,919,455,393,79,510,244,921,659,298,968,25,123,582,826,319,655,286,66,851,8,791,572,266,194,943,760,196,268,543,580,861,711,741,608,248,594,807,434,730,452,335,273,784,122,794,522,737,598,479,485,834,428,189,248,23,438,994,832,425,1,233,765,996,95,711,71,451,437,891,915,78,478,476,337,314,639,945,482,870,92,446,106,691,659,730,588,552,317,196,427,612,255,577,461,302,144,571,68,114,489,831,644,270,338,432,275,73,785,105,47,637,293,942,171,933,215,986,503,239,287,442,680,389,14,149,93,932,483,774,310,157,840,382,638,513,805,980,633,512,39,649,669,590,487,695,622,960,939,910,222,138,847,633,983,778,447,223,630,785,940,37,944,250,161,94,553,491,905,676,446,270,120,264,845,623,484,789,677,170,185,829,812,751,116,584,608,739,758,402,372,892,936,274,216,797,739,644,701,892,882,710,882,154,104,563,285,691,519,892,596,327,495,728,415,265,768,168,540,257,950,279,433,329,461,789,749,653,307,909,527,703,935,954,155,817,256,39,836,391,127,196,167,239,825,407,62,707,890,638,183,931,558,839,719,339,930,271,82,124,362,599,3,956,763,861,730,801,790,271,12,420,519,802,941,917,131,813,116,46,511,904,484,332,858,462,270,927,354,901,304,503,320,823,78,449,326,583,974,78,308,112,64,863,198,127,123,510,447,145,417,578,105,909,317,233,107,127,466,849,45,708,631,710,751,441,379,792,332,21,223,85,556,765,715,436,929,15,850,855,82,369,399,522,40,807,382,533,36,1,113,664,721,484,492,909,597,195,673,309,593,748,65,718,634,142,744,500,462,423,774,783,993,657,765,894,768,105,920,497,196,492,670,204,279,501,428,56,313,428,207,87,188,610,515,182,50,80,978,975,579,531,12,646,768,115,385,922,942,692,183,257,459,585,490,715,477,237,998,621,498,269,306,143,834,650,924,349,363,361,593,65,533,980,431,8,881,213,541,885,246,859,350,221,710,949,91,633,246,327,13,583,781,261,148,152,297,325,92,631,62,651,790,245,920,272,513,615,43,328,481,864,562,67,868,1,448,951,686,157,654,753,905,954,672,189,802,892,854,372,922,4,224,78,135,582,505,930,814,892,785,568,281,912,236,435,75,734,594,524,880,659,82,382,529,46,282,471,447,763,374,912,905,171,190,638,414,324,619,89,429,170,456,677,631,404,167,717,124,642,690,362,327,749,962,606,794,27,193,956,241,971,50,775,66,843,191,129,800,235,553,180,132,682,472,245,792,680,165,751,690,863,306,214,635,262,486,714,859,867,638,959,793,514,502,521,417,913,269,286,754,573,99,578,798,904,440,481,340,696,881,630,762,773,147,469,530,299,530,354,33,198,235,365,490,456,493,205,49,667,504,688,131,618,796,688,859,526,976,579,577,965,212,711,786,879,677,324,693,981,490,96,516,104,167,798,42,116,645,572,337,688,936,934,963,346,366,20,99,346,92,271,764,739,635,20,562,395,865,997,21,402,772,990,948,688,849,34,198,258,612,724,91,897,183,458,38,391,489,395,318,220,313,471,964,905,995,646,421,91,257,449,308,895,792,282,690,306,950,431,181,341,768,883,414,529,849,572,603,248,426,642,759,465,412,539,229,832,945,657,182,789,115,855,443,280,398,752,573,671,718,419,152,100,153,63,958,734,755,224,808,883,121,691,795,38,853,191,523,444,714,380,304,289,523,621,337,591,809,1,675,316,686,179,445,763,851,977,870,337,636,844}

{621,301,442,237,204,756,323,813,333,360,585,383,443,562,155,376,239,803,169,622,135,763,741,826,441,437,357,346,240,856,534,662,260,567,413,594,524,73,90,91,151,877,352,415,519,108,637,546,972,820,950,718,246,310,271,812,399,72,833,516,474,991,254,238,295,584,849,442,124,461,497,887,928,196,925,863,878,681,78,996,260,163,20,30,164,261,946,429,372,685,924,124,278,692,644,846,891,33,569,996,633,250,24,470,547,923,363,313,657,292,151,932,251,157,930,910,343,997,9,764,91,723,529,272,123,7,877,384,423,241,389,227,321,299,397,512,523,495,924,429,140,403,351,942,873,198,911,626,245,181,188,420,437,840,948,481,627,534,523,9,141,177,926,234,827,166,373,39,434,773,531,318,277,635,230,504,295,173,784,81,902,8,530,245,25,952,555,116,261,827,765,736,238,173,350,822,389,457,332,918,388,849,841,570,121,575,140,830,249,435,950,424,192,804,984,793,664,548,979,546,886,146,43,662,923,144,251,549,529,716,370,358,45,468,671,663,145,717,493,854,728,514,369,298,600,409,699,22,804,226,590,342,238,164,782,963,925,736,135,813,338,363,350,58,654,425,786,32,418,959,500,370,931,180,875,987,275,537,18,828,10,368,637,654,588,136,824,135,947,161,28,706,648,5,856,229,947,761,589,127,613,823,492,495,830,230,168,384,460,740,245,952,784,219,845,498,814,681,554,517,213,70,473,570,49,662,797,509,369,893,502,286,156,937,952,741,772,28,585,167,950,774,281,138,490,514,488,923,252,275,831,243,141,163,845,815,9,648,807,332,592,850,262,933,557,519,421,171,197,727,19,468,0,239,16,411,251,617,485,514,30,544,980,269,686,134,206,335,687,574,927,592,13,491,524,640,581,570,682,401,244,903,438,6,336,949,197,985,883,126,79,357,40,168,928,170,36,797,434,465,261,403,159,79,65,978,877,897,529,121,867,252,643,293,4,947,607,173,956,379,928,996,799,840,116,573,815,424,512,138,320,827,841,643,103,904,247,476,688,586,625,160,144,450,511,403,429,601,137,418,228,333,346,5,374,690,603,388,731,116,449,503,789,502,967,546,845,524,180,843,207,302,326,398,701,635,834,736,547,258,661,798,802,481,933,391,239,724,389,426,28,94,557,470,982,949,108,637,29,331,757,485,313,641,297,141,413,501,520,915,599,168,848,983,668,184,847,605,376,589,124,494,966,949,405,270,323,556,709,318,548,443,688,910,934,574,107,147,447,330,638,470,217,809,992,206,479,741,701,782,746,501,383,890,465,562,402,798,18,42,523,398,407,914,965,56,812,978,853,501,155,240,54,72,212,677,400,188,301,32,785,661,801,224,997,542,561,408,966,670,435,818,166,198,107,656,188,413,543,645,997,459,37,6,270,388,55,418,866,585,512,671,607,297,920,231,517,526,414,769,957,316,404,904,229,331,775,633,85,630,441,935,805,630,802,831,887,822,655,272,932,994,589,599,576,216,70,54,563,857,511,605,522,401,680,159,780,468,396,24,755,374,55,682,805,971,689,573,184,592,82,399,649,978,904,875,271,878,420,491,543,966,364,869,807,219,716,379,366,250,322,152,379,318,190,462,873,61,41,752,335,222,115,951,334,104,727,76,119,53,979,148,126,956,635,749,764,169,67,959,257,515,192,555,801,184,78,2,334,621,169,263,895,807,323,260,630,2,481,828,320,375,812,488,436,331,977,867,410,809,926,232,577,359,7,762,81,648,866,883,229,768,326,937,526,358,981,375,747,461,770,10,405,601,362,540,78,644,108,782,573,394,699,160,216,342,992,250,669,688,343,278,717,43,213,479,114,29,427,285,958,943,485,203,20,678,469,891,461,875,58,277,151,332,152,742,887,535,771,360,764,254,517,66,769,491,162,11,266,435,600,355,914,140,852,383,123,165,503,642,934,977,456,79,851,13,314,840,394,518,160,72,71,504,868,498,313,689,687,266,217,551,554,784,882,333,119,567,176,760,357,505,419,682,44,710,567,953,0,584}

{178,659,360,21,693,464,183,464,730,118,220,960,937,256,739,311,174,288,147,391,74,142,916,75,30,157,365,806,544,59,285,913,510,314,195,819,99,52,641,527,798,725,85,578,791,759,125,738,377,201,346,482,280,777,540,425,115,50,422,710,860,196,945,76,564,186,225,614,411,142,756,734,740,666,851,836,693,186,469,542,785,391,125,61,506,436,790,64,217,131,890,289,437,652,89,620,500,139,920,631,879,621,433,21,872,35,423,780,256,167,708,958,343,673,136,179,382,532,344,981,640,178,535,706,759,439,922,5,300,548,854,440,171,284,989,306,325,83,83,495,427,581,472,614,351,511,484,347,721,166,964,276,553,37,220,386,896,853,48,972,602,123,632,21,987,939,496,941,364,989,382,216,142,53,16,617,788,212,285,507,471,566,697,248,709,811,329,539,463,616,500,242,46,423,508,257,466,909,370,825,408,789,487,307,679,767,283,322,80,673,424,982,604,675,257,520,375,88,917,755,349,879,530,922,652,483,708,763,965,462,336,673,510,513,231,454,617,825,696,243,948,606,81,44,97,964,25,87,221,707,275,852,482,787,998,214,967,539,450,866,204,680,719,700,254,908,344,889,794,298,596,618,507,739,464,787,780,715,720,933,302,716,180,697,473,657,742,317,837,604,708,56,779,399,438,539,228,620,976,314,248,296,979,75,758,917,335,898,22,704,233,421,832,348,46,595,367,439,174,777,42,785,309,559,14,264,178,325,231,754,438,816,282,484,659,659,725,59,11,616,397,624,45,674,972,772,272,730,582,924,115,721,85,650,849,889,705,676,51,305,513,776,3,772,31,466,658,989,726,733,666,49,402,897,224,761,701,432,334,89,345,330,137,862,433,463,729,215,20,967,73,717,219,311,886,289,506,569,405,663,139,396,267,226,916,422,198,547,281,884,101,510,315,11,194,187,347,908,147,153,994,763,794,185,215,90,975,88,831,235,633,412,844,416,954,994,844,747,663,182,540,282,273,749,851,428,105,891,316,580,552,508,201,456,986,714,214,974,880,24,748,560,863,103,328,27,133,710,545,815,189,748,340,706,86,948,830,566,892,816,783,959,100,786,737,175,644,816,719,579,23,277,842,225,954,711,632,526,749,618,210,120,702,232,322,306,117,65,170,408,661,558,312,970,691,899,51,419,734,385,218,31,766,349,734,206,265,51,777,984,919,658,120,175,889,63,185,537,432,765,691,727,27,177,974,735,422,190,298,677,605,190,702,431,304,613,358,885,205,922,348,860,226,74,134,402,962,61,400,73,542,715,474,406,428,711,380,228,582,521,38,69,433,127,684,538,286,307,204,279,601,112,506,590,502,86,447,694,905,88,892,751,732,130,588,273,355,789,114,471,649,752,910,203,382,863,65,577,174,790,854,847,822,521,62,715,755,292,125,38,918,616,99,327,187,509,67,130,367,430,936,641,679,347,940,288,811,412,602,847,139,582,32,235,258,665,369,778,75,900,453,306,26,651,525,675,906,731,324,751,110,751,604,691,725,640,487,864,496,316,901,970,945,867,232,234,356,13,750,182,395,466,852,120,310,527,455,804,97,377,367,0,566,553,908,986,545,337,213,655,96,106,400,711,525,508,117,525,431,503,397,99,390,677,2,551,271,176,779,693,161,265,624,684,729,865,753,769,753,472,988,205,487,890,220,425,455,411,707,447,443,744,586,884,968,133,300,146,700,374,201,968,304,432,675,89,917,681,657,743,700,202,893,983,27,527,354,6,182,477,161,489,719,712,442,31,679,638,419,105,558,632,327,227,742,596,426,279,697,67,193,259,361,492,430,111,205,311,961,401,273,876,456,185,235,482,618,666,794,538,962,480,29,71,248,595,914,175,49,325,474,624,97,341,739,720,698,593,91,559,150,893,44,179,480,684,86,705,774,38,860,165,797,288,294,530,137,309,87,779,282,799,15,660,901,799,128,897,726,826,965,767,493,365,766,84,564,597,344,532,853,92,90,942,776,326,639,768,921,349,902,489,651,886,737,892,537,114,520,171}

7

Returns: 13252
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7

Returns: 13403
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{115,348,638,31,762,844,468,68,377,203,886,343,876,561,550,504,54,936,996,979,800,464,253,28,551,896,683,322,755,390,959,385,875,894,113,927,565,694,725,49,224,124,558,33,608,347,938,924,764,78,483,409,918,743,591,467,4,89,800,789,810,523,27,378,779,68,147,951,568,392,250,116,351,441,464,918,238,314,784,471,20,140,523,489,278,99,929,642,603,341,340,971,884,893,877,546,300,483,988,431,13,533,449,173,693,176,416,823,159,87,253,486,518,315,231,127,751,651,878,640,296,375,544,419,858,574,402,260,262,137,660,619,581,915,346,994,760,742,893,43,273,398,891,429,140,167,396,64,792,699,238,536,793,176,924,486,871,676,141,50,463,246,698,611,166,967,221,305,378,191,37,399,879,796,47,453,957,375,294,644,318,112,582,418,51,446,600,495,77,344,740,54,668,854,545,228,185,4,18,114,681,768,728,622,611,435,30,991,391,172,942,323,140,274,83,364,0,90,343,589,804,483,689,212,5,612,951,90,47,298,410,246,46,472,418,553,247,10,940,191,781,528,273,159,315,832,381,709,557,210,85,513,932,183,469,236,770,509,792,547,743,136,435,719,989,735,371,764,631,595,233,62,326,522,317,464,666,736,437,554,337,139,93,733,480,839,801,766,368,655,749,440,732,683,369,628,512,910,695,982,493,871,399,348,922,425,799,803,557,410,935,829,904,805,305,494,74,503,113,342,293,66,712,727,554,804,111,234,401,937,766,552,583,960,411,511,545,913,324,899,843,45,617,168,487,840,564,145,590,873,246,670,615,726,128,86,986,531,16,762,768,212,486,632,885,155,767,935,772,704,891,781,9,228,811,999,0,429,172,971,215,152,716,183,446,163,410,956,212,435,610,528,710,988,601,762,910,247,324,532,861,176,395,798,428,879,442,873,190,823,825,681,725,547,340,934,881,624,631,431,19,51,902,749,146,334,477,415,300,321,405,240,14,957,491,255,692,624,60,755,75,914,911,359,953,864,728,164,241,559,664,767,311,400,990,431,397,224,730,475,965,813,27,658,101,405,589,241,636,335,598,1,333,598,836,847,376,368,512,89,674,487,914,467,700,383,913,403,622,829,562,564,322,232,599,89,469,618,883,960,169,906,364,565,975,19,608,287,66,75,347,983,597,887,358,915,326,591,628,298,368,730,41,704,580,494,566,467,958,25,900,174,503,803,175,600,188,197,110,3,28,807,563,603,752,79,881,922,921,55,563,535,104,191,827,472,558,696,80,288,14,683,522,716,260,881,883,274,841,437,312,24,818,642,892,578,837,996,107,655,974,85,21,210,398,326,173,317,768,619,977,13,732,923,61,615,596,478,170,374,83,171,180,372,984,880,837,827,581,889,676,958,885,147,821,314,764,361,396,345,318,997,607,72,841,821,542,55,222,175,836,660,606,910,44,553,33,365,480,234,405,6,245,233,93,953,986,681,107,840,367,312,527,30,761,602,19,926,260,705,118,660,449,18,430,914,84,200,619,335,439,783,315,296,647,291,615,397,989,158,886,489,58,622,557,188,110,288,559,224,649,161,145,797,485,372,699,402,33,669,581,208,278,824,328,228,828,928,398,328,9,787,591,705,257,133,244,75,463,333,22,879,988,606,470,926,61,855,535,808,631,428,109,538,387,194,579,164,358,906,298,925,168,281,560,345,605,344,26,822,121,940,935,719,975,841,181,377,125,858,785,991,28,977,233,392,882,281,658,253,160,390,267,838,280,478,638,403,596,646,42,487,52,972,987,297,889,937,603,899,391,670,623,651,141,164,921,676,712,822,342,883,125,150,665,153,636,710,307,84,482,473,554,440,79,269,755,251,114,427,837,900,656,294,732,921,97,923,522,809,314,890,143,67,429,549,376,11,826,484,745,510,449,40,495,280,206,311,78,240,263,750,896,798,393,513,567,470,189,839,790,31,842,263,882,5,957,561,376,280,986,4,930,275,903,908,874,317,493,926,364,354,942,789,701,669,465,122,504,427,193,508,234,138,366,742,83,107,192,975,254,468,588,182,238,165,354,783,847,716,495,112,827,131,662,617,920,980,655,160,123,787,354,203,458,550,369,423,406,869,547,166,605,844,632,702,241,862,517,252,387,263,737,512,864,269,854,545,21,366,459,840,721,742,815,784,250,451,796,510,828,5,653,214,66,128,936,448,588,715,696,966,232,441,425,72,421,682,330,652,599,745,643,974,674,397,761,998,856,180,663,402,127,658,383,118,148,279,249,240}

{887,807,91,680,592,292,289,727,979,637,625,134,258,87,820,492,300,863,982,283,684,580,750,593,39,349,843,537,822,137,816,471,641,55,459,460,984,184,452,447,542,367,524,139,912,198,462,227,741,541,803,73,230,185,249,520,108,125,851,954,537,795,791,305,144,2,456,408,174,946,888,805,506,2,700,614,12,686,70,29,158,798,593,111,890,778,961,101,838,627,132,977,733,67,264,261,121,987,794,551,161,623,599,870,362,529,465,826,924,389,171,559,389,497,51,237,629,855,2,243,812,672,432,912,678,77,916,448,80,226,984,901,953,747,558,96,119,543,724,337,850,701,10,686,872,519,694,476,682,299,360,614,904,257,265,447,692,949,909,892,816,39,190,592,538,546,243,70,422,118,129,286,61,506,95,621,235,35,128,62,834,282,788,420,255,134,722,227,604,116,756,968,227,98,695,746,795,725,479,739,932,933,569,352,751,548,82,530,1,949,864,141,990,833,259,569,686,69,964,277,851,974,372,484,787,582,737,204,562,451,664,198,756,93,438,814,753,117,809,968,758,272,713,477,609,279,481,144,903,363,394,13,203,472,59,570,395,307,691,563,284,852,802,97,706,700,744,942,711,37,350,195,39,360,941,136,865,538,637,350,286,436,56,912,570,264,302,642,995,835,9,112,45,532,968,564,817,393,204,201,192,510,548,688,908,460,124,81,77,889,338,120,139,386,824,143,654,815,707,479,555,909,541,587,604,565,905,471,533,349,271,133,243,334,290,546,818,248,385,149,38,8,211,104,882,149,488,713,514,197,625,656,301,880,583,209,383,688,972,452,148,597,790,12,602,153,18,174,345,954,549,265,417,210,166,488,111,944,519,958,772,524,929,25,351,264,38,473,327,378,572,377,106,349,621,159,456,293,740,776,963,278,420,276,829,869,577,573,309,25,671,222,242,702,393,585,715,36,436,661,970,48,239,76,363,229,382,521,520,727,165,277,92,389,698,858,412,961,872,50,996,387,744,701,939,862,817,760,297,825,731,784,497,932,423,966,588,550,748,414,424,607,646,918,208,781,801,987,508,144,801,733,544,129,245,720,650,373,242,626,839,459,168,868,963,301,80,713,795,965,962,94,766,350,266,690,825,892,763,270,999,860,616,745,208,651,737,746,412,583,888,868,952,362,151,329,237,917,295,836,966,870,388,688,422,283,100,239,311,976,613,523,964,754,327,691,886,57,804,82,135,518,432,871,820,613,668,222,37,515,950,333,543,186,413,842,835,361,316,530,816,29,813,734,1,648,276,851,261,661,20,916,944,537,963,861,673,502,770,430,671,572,419,999,312,339,697,794,444,824,783,724,115,239,295,259,885,608,876,527,433,57,492,800,452,206,659,904,666,91,796,149,862,292,293,954,527,947,976,679,729,589,632,521,365,404,993,682,268,531,158,223,543,859,86,941,36,605,604,844,98,850,833,100,245,786,439,86,401,192,569,685,85,214,919,273,675,101,482,309,382,255,710,696,205,607,769,748,348,299,650,98,92,171,34,556,902,973,612,157,649,776,32,518,370,995,113,649,905,72,955,272,765,36,637,119,57,819,290,770,846,194,750,220,577,907,544,322,647,214,672,657,451,973,952,476,645,680,447,404,909,219,319,468,290,10,643,648,353,17,640,152,502,866,765,711,479,514,571,362,773,685,667,48,41,708,860,718,814,456,939,226,207,950,629,419,265,779,896,153,357,380,773,826,679,74,561,217,743,718,254,726,656,964,913,626,134,319,189,673,148,541,843,299,780,752,718,945,88,477,131,81,394,609,949,654,484,490,791,400,64,45,650,646,590,946,645,616,549,316,812,919,129,625,970,165,793,955,670,867,907,860,363,23,782,418,84,945,461,995,108,14,641,810,970,209,442,960,87,360,357,466,648,420,740,116,268,853,679,671,150,897,143,490,507,876,832,562,474,352,903,929,373,110,532,41,617,875,845,97,566,74,601,760,12,388,521,382,301,991,820,944,763,790,990,325,685,702,680,712,579,120,490,594,848,48,31,982,786,145,540,35,753,229,511,357,408,525,450,272,325,551,905,412,204,94,601,59,519,64,460,395,20,32,282,448,691,63,384,494,426,180,852,667,772,120,845,282,199,992,0,609,284,414,422,188,367,268,814,443,962,714,934,665,907,821,308,901,184,593,309,307,613,327,640,891,195,63,973,157,723,947,940,292,480,731,316,70,756,672,217,697,160,381,917,845,392,332,947,482,488,920,776,723,295,489,96,592,590,404}

1

Returns: 1982
{257,808,365,223,540,496,8,113,438,598,669,634,990,465,169,715,904,211,807,331,348,949,167,535,357,481,370,552,881,799,876,499,279,152,322,173,882,262,52,997,699,998,511,967,284,287,184,716,601,153,943,577,198,923,730,622,496,125,977,733,862,631,416,352,362,670,893,348,710,222,676,586,116,947,47,512,449,183,7,533,679,474,500,724,680,424,357,21,928,428,493,242,442,12,448,979,243,260,855,5,722,138,12,513,354,431,587,551,558,276,868,563,552,110,447,543,921,118,887,731,711,554,587,511,305,213,106,221,83,272,325,917,640,133,176,661,119,908,493,605,978,856,232,912,384,844,988,870,998,503,811,683,651,213,469,369,751,109,4,179,276,271,446,793,607,832,444,110,226,745,351,352,802,379,900,241,424,778,845,331,210,334,661,506,547,551,469,462,525,340,212,892,558,698,886,373,182,965,573,275,297,482,403,735,858,732,578,440,538,208,909,410,685,238,620,946,846,43,144,317,470,930,906,831,805,231,907,347,40,975,28,701,759,351,740,599,487,841,447,273,703,508,838,157,57,688,765,860,423,644,717,980,590,144,856,307,246,822,655,985,92,788,524,106,702,113,662,336,705,690,440,336,832,704,77,273,326,794,916,725,325,115,50,597,172,291,314,433,408,130,880,997,421,771,446,747,4,989,637,341,766,66,817,187,530,441,474,765,853,963,968,577,674,809,587,589,56,442,998,556,664,459,187,90,809,469,186,903,707,271,450,601,945,31,255,283,983,827,979,35,517,388,402,787,109,199,239,640,195,536,739,73,263,659,325,781,604,732,936,392,572,850,254,433,789,647,263,715,110,951,558,844,216,101,770,948,283,364,566,38,477,412,987,591,731,379,673,930,747,103,896,933,896,511,150,620,674,995,732,140,243,690,931,97,577,659,439,471,560,677,515,512,579,566,133,26,33,249,110,239,201,500,851,185,163,603,193,900,528,66,346,880,219,315,913,327,313,519,101,213,233,237,964,144,670,909,992,965,874,96,789,887,304,60,903,758,691,889,694,872,324,949,660,67,794,468,669,205,304,247,746,876,774,853,45,553,709,86,774,18,735,744,706,989,6,587,458,472,364,986,61,547,153,883,419,497,940,251,635,254,736,454,397,625,678,882,99,568,120,625,159,808,215,748,872,757,360,35,86,920,875,869,587,279,252,826,41,10,10,288,848,836,569,589,997,372,409,838,587,450,708,295,312,389,721,655,165,269,974,212,345,584,239,443,75,484,752,443,201,37,797,214,433,163,492,15,747,97,849,296,321,831,395,525,787,240,729,493,889,589,604,285,892,173,680,243,961,484,793,395,985,939,435,480,264,420,76,468,788,211,20,850,450,621,42,304,624,228,522,124,119,22,92,9,897,179,234,505,53,489,714,577,617,621,766,516,504,871,727,251,980,309,863,773,160,139,699,248,317,183,638,104,68,814,526,863,353,426,349,745,195,693,739,150,674,641,804,429,1,525,35,944,976,224,618,59,863,34,747,283,194,688,720,199,768,382,726,337,385,681,989,375,807,529,709,996,464,723,783,557,376,531,223,252,752,602,649,382,719,573,720,241,156,67,829,138,124,326,118,342,302,125,315,738,997,643,31,279,843,924,951,739,648,6,440,131,147,511,515,866,145,547,323,98,856,639,504,225,121,291,557,986,299,616,107,604,524,718,599,344,895,500,403,81,900,973,745,772,27,120,936,846,167,231,131,461,95,694,573,684,923,809,749,777,154,648,30,277,897,151,865,108,94,615,510,183,857,804,904,494,357,613,220,547,561,920,291,626,83,533,893,187,470,737,624,653,812,662,269,964,303,65,77,276,722,57,420,853,757,960,646,515,548,265,742,942,943,197,245,479,934,31,915,253,137,927,400,62,97,632,817,910,843,659,764,602,164,693,425,339,32,565,558,958,530,518,180,774,579,24,735,610,621,832,243,753,705,34,48,920,636,633,13,471,690,447,113,190,464,274,790,522,766,671,742,974,812,967,564,269,843,662,346,573,49,606,750,440,403,746,229,481,607,591,24,252,350,17,751,375,120,91,507,975,545,407,377,618,946,143,804,247,273,635,743,620,457,551,953,653,976,427,420,93,652,903,560,601,384,493,256,507,853,567,997,174,350,979,874,91,158,140,752,608,215,377,101,301,9,133,544,300,803,898,528,239,504,338,221,74,468,707,306,291,344,950,479,869,672,442,26,175,911,151,998,816,663,349,523,106,762,109,232,977,463,933,642,401,309,657}

{770}

{918}

1

Returns: 1869
{259,284,689,347,324,561,833,894,712,840,325,799,640,114,688,556,77,737,787,378,821,800,310,653,776,992,231,283,870,501,468,689,68,39,52,889,73,655,474,26,933,84,463,50,210,564,322,990,581,915,285,557,867,310,693,569,82,800,684,515,966,548,581,307,9,102,695,287,884,627,918,413,387,896,438,337,177,67,49,667,92,635,820,59,597,71,860,769,994,122,83,603,926,680,737,306,997,827,575,621,254,798,243,315,948,596,421,541,222,231,530,473,915,422,536,726,247,999,15,385,401,771,842,59,765,454,26,707,484,943,533,291,267,832,830,269,994,214,518,648,765,943,595,390,786,151,799,534,333,879,286,183,828,933,765,792,760,30,611,938,245,663,283,366,311,623,606,633,486,426,522,261,338,603,829,400,305,111,693,759,706,68,730,17,783,713,724,484,791,228,548,267,1,270,160,265,27,420,403,775,126,34,188,633,51,592,55,566,57,268,698,766,391,682,674,573,933,883,420,276,483,525,950,412,227,223,378,833,840,728,116,101,667,761,691,263,376,907,717,515,435,302,942,388,596,173,694,634,530,790,728,65,629,425,841,552,47,513,634,63,33,337,893,585,31,957,85,127,802,552,256,940,543,590,882,822,782,531,299,952,851,517,732,323,570,673,119,516,675,958,900,598,440,243,998,605,275,778,650,893,59,258,695,621,802,864,345,51,631,739,751,361,605,450,457,182,187,2,844,365,824,789,310,433,115,383,485,137,39,973,279,533,795,937,261,292,155,431,165,113,162,753,731,506,315,351,167,565,438,270,885,28,743,28,456,1,576,613,41,936,109,676,799,306,925,609,376,625,963,602,660,202,182,162,971,871,578,118,553,502,553,681,846,451,689,378,805,758,514,533,772,535,457,502,130,370,909,906,823,230,100,249,415,472,683,188,526,774,457,185,490,248,294,520,53,330,454,589,372,249,207,927,712,154,670,296,433,795,592,140,137,892,166,143,140,28,333,507,625,417,96,5,377,811,949,253,340,728,877,456,896,233,530,741,352,269,951,60,749,264,394,679,959,554,318,739,129,559,46,221,331,992,52,610,223,135,157,449,336,932,946,590,151,284,701,277,832,237,460,291,287,346,691,527,184,516,719,482,535,952,61,116,133,80,448,850,778,915,568,718,893,327,651,299,538,113,594,450,8,891,823,796,576,782,312,954,985,742,380,158,43,332,112,459,123,258,638,338,191,548,202,720,3,513,504,388,106,7,130,312,483,596,736,196,949,605,818,405,20,551,423,108,416,840,526,970,307,266,643,268,990,234,192,654,917,188,307,919,452,726,819,635,755,243,402,645,126,108,510,568,220,339,910,550,916,859,882,775,12,587,897,679,683,288,180,521,656,95,235,200,650,563,351,589,829,971,681,329,262,633,546,378,335,771,315,168,517,389,162,386,147,629,671,232,354,424,49,721,150,585,173,450,719,671,130,625,174,299,89,353,377,869,177,668,721,487,298,263,151,416,102,146,321,174,476,867,275,442,175,263,172,775,60,266,768,44,486,146,456,494,850,571,587,164,682,491,573,261,53,815,348,277,828,421,312,878,660,495,119,153,883,579,126,647,866,779,200,886,411,281,81,733,777,519,627,546,979,138,793,923,272,967,429,460,517,273,138,478,950,855,801,172,816,661,709,773,880,501,726,179,277,368,542,963,685,356,758,310,915,533,264,646,820,679,334,116,373,476,309,267,827,751,123,769,700,43,346,616,586,163,26,834,33,194,951,968,964,347,140,491,31,338,847,312,717,374,800,554,95,383,740,896,9,780,547,38,329,925,787,429,873,419,54,56,64,452,492,815,79,694,130,100,499,281,810,817,952,607,843,814,697,824,59,270,131,959,488,58,483,660,283,944,864,328,439,310,491,988,779,156,554,797,241,912,270,57,545,300,362,821,394,861,231,387,599,487,844,954,590,200,28,293,571,751,491,40,19,699,839,683,388,941,658,546,3,288,201,980,365,485,471,287,171,630,51,431,181,298,279,213,648,500,702,717,471,638,711,649,42,788,764,977,165,914,351,865,15,141,266,297,772,277,401,765,774,226,2,817,258,298,33,57,477,574,270,446,358,846,498,427,936,224,751,495,294,820,192,161,601,387,774,800,409,169,365,940,903,745,99,418,714,374,780,339,549,837,741,379,8,776,222,68,574,249,21,642,497,112,211,103,899,664,835,941,767,360,612,304,514,887,102,19,494,753,509,842,695,763,49,108,17,117,240,465,88,842,440,376,728,576}

{905,700,984,404,771,973,665,683,379,220,86,65,173,756,407,513,790,862,779,813,191,20,602,651,336,31,886,168,774,346,709,270,994,491,435,526,332,538,874,62,103,767,185,466,626,334,804,635,395,732,157,242,523,756,725,414,311,158,578,905,16,672,623,953,578,18,175,812,976,336,78,87,109,955,87,682,934,106,99,742,43,472,197,405,958,870,596,814,913,161,839,94,963,956,102,734,763,254,492,610,145,886,401,193,874,699,556,275,975,660,676,147,479,38,481,118,642,35,568,884,820,683,619,267,984,109,728,41,105,357,359,648,490,592,707,519,645,802,313,179,171,213,610,477,64,715,876,23,409,549,194,440,392,167,648,845,366,982,669,123,932,132,204,771,231,780,751,346,558,231,874,328,172,278,448,956,49,399,327,119,239,502,658,396,991,177,684,588,593,235,727,900,320,477,85,244,771,200,102,107}

{743,0,761,643,472,719,291,531,560,451,352,183,481,651,828,61,761,219,750,495,880,291,102,335,356,908,766,705,353,50,516,586,525,433,269,430,318,171,450,203,594,625,987,872,306,284,100,454,433,2,849,791,19,749,36,159,369,165,698,138,414,195,744,95,615,238,958,17,686,154,835,195,660,112,120,465,569,569,430,2,222,343,889,889,9,716,786,293,525,184,627,669,661,881,828,456,630,776,435,34,272,337,61,624,284,705,53,722,190,663,347,274,156,72,383,503,117,49,880,273,361,673,268,591,353,306,420,143,67,570,664,574,405,927,384,422,889,197,495,46,159,391,218,243,562,969,111,928,414,791,89,491,867,131,525,215,951,803,385,787,420,191,392,678,615,395,629,141,92,722,947,258,659,745,866,900,591,160,491,245,796,218,677,982,320,854,614,723,509,706,787,156,531,892,417,706,330,66,516,957}

7

Returns: 12647
{546,497,393,987,776,204,895,527,284,39,582,923,126,743,719,240,737,601,549,134,59,868,203,135,826,359,925,677,871,437,231,644,907,927,413,528,408,151,385,815,284,622,718,423,830,726,346,184,26,173,109,428,686,533,276,540,206,584,456,371,438,802,249,185,107,666,138,745,543,748,202,345,468,580,327,246,846,21,703,159,808,340,768,838,311,733,482,570,218,1,468,357,362,3,319,700,514,606,535,299,134,126,198,473,174,285,475,588,466,341,814,562,818,806,97,822,874,491,250,157,325,303,439,185,850,713,265,513,498,70,961,510,449,561,429,417,795,706,525,773,710,936,225,166,982,763,621,462,930,590,845,471,483,101,428,559,880,67,669,460,359,671,602,685,484,571,758,378,774,237,575,923,79,466,383,767,363,717,790,752,469,716,402,719,751,233,704,696,188,242,983,216,395,357,749,579,252,119,557,128,587,26,729,383,353,603,224,704,636,457,249,972,775,555,698,165,496,814,202,890,787,305,603,360,623,962,617,302,164,205,691,956,261,656,454,669,293,327,418,59,179,538,963,784,355,481,38,642,466,927,412,177,828,733,309,725,199,156,13,469,746,932,532,885,86,288,45,98,322,417,391,554,263,867,18,494,258,340,520,762,530,402,705,566,616,310,670,353,304,58,402,642,737,316,210,989,115,500,593,129,414,694,432,721,334,26,402,399,20,374,868,411,778,836,897,850,582,537,901,424,502,965,50,587,784,713,589,249,120,894,508,877,20,751,875,593,696,266,889,749,232,50,135,761,941,878,22,69,855,152,483,684,109,970,370,716,196,895,730,97,247,570,124,528,457,864,799,67,242,559,221,679,618,555,99,743,963,433,705,723,128,436,422,651,193,579,680,287,711,474,929,182,261,898,846,38,690,269,58,814,4,772,145,894,368,762,390,389,521,608,342,25,939,36,459,197,949,339,267,887,314,389,559,523,292,205,852,270,156,394,816,639,299,277,607,440,695,441,244,172,11,80,248,406,178,227,181,396,610,954,531,998,21,138,171,711,209,84,932,371,184,318,921,485,889,985,135,666,75,28,821,289,53,567,724,795,821,839,305,37,71,915,930,570,360,881,900,696,479,959,736,89,578,401,9,134,561,474,223,419,468,557,269,894,511,291,982,302,346,411,658,831,24,61,395,493,716,916,607,662,886,62,133,484,290,757,83,621,79,738,967,678,730,460,753,247,295,780,367,720,636,157,184,365,89,869,270,803,815,239,872,261,491,130,823,839,798,802,300,14,624,425,160,555,965,442,547,387,821,479,548,394,339,524,819,405,160,586,927,913,470,3,14,678,383,666,94,956,462,338,154,387,777,904,841,773,712,474,49,225,820,117,700,818,797,988,844,216,940,591,773,858,256,543,721,898,165,551,753,780,442,615,452,636,128,540,839,518,418,881,728,493,816,498,213,81,135,268,873,472,48,617,906,40,978,266,347,491,412,928,496,401,464,899,304,56,722,524,25,199,255,189,920,849,675,611,146,210,174,910,990,929,709,651,604,889,980,682,801,12,562,695,697,318,31,889,973,50,229,287,186,797,266,575,515,304,28,526,327,336,663,626,396,262,453,143,412,85,996,673,808,735,333,589,270,855,729,221,956,344,104,919,320,316,357,354,771,301,320,518,406,159,60,360,20,839,950,894,837,261,773,572,664,196,958,637,588,261,598,524,165,209,498,658,496,882,308,892,708,296,707,860,41,958,179,23,696,943,296,600,496,170,185,29,136,621,21,271,25,735,384,179,8,363,614,629,952,928,989,353,277,761,682,16,232,330,504,746,708,320,476,116,651,913,911,915,658,106,884,69,542,495,416,944,271,671,425,236,598,445,618,837,898,376,603,890,944,559,696,741,766,607,769,911,13,320,177,832,100,642,853,157,625,429,315,551,557,568,47,207,119,654,220,313,583,904,647,156,914,926,842,643,363,376,581,520,966,533,606,270,263,92,162,241,415,355,895,277,774,568,467,387,284,917,114,274,524,30,398,434,339,433,141,5,650,317,781,789,237,853,621,679,482,122,863,362,926,850,609,355,8,788,338,464,924,661,968,739,125,688,634,707,680,744,626,904,922,550,968,980,444,458,407,968,728,651,245,631,59,110,385,352,49,195,378,784,710,29,260,367,126,862,885,398,900,911,645,494,364,934,252,387,331,439,238,111,803,248,155,129,80,666,476,670,279,439,509,638,730,607,120,842,397,847,996,909,61,998,913,25,260,199,935,630,616,175,617,447,808,918}

{215,541,178,607,941,859,465,69,465,124,254,612,605,335,533,474,578,317,654,73,417,854,289,55,553,92,573,94,4,655,827,294,519,196,268,894,684,429,714,933,407,300,978,828,453,153,960,82,720,952}

{422,820,375,813,206,46,74,839,248,462,447,163,120,678,215,384,592,427,420,343,39,599,485,658,370,781,658,988,884,810,51,433,547,705,610,62,40,844,266,600,297,818,831,303,206,583,592,95,376,564}

7

Returns: 11579
{782,137,827,262,847,582,730,646,445,967,582,943,617,335,152,800,142,425,665,235,10,394,586,416,430,784,364,914,171,922,718,275,993,111,111,167,664,926,830,301,338,838,808,130,955,820,212,253,239,622,321,902,409,964,661,346,523,552,640,760,604,666,127,871,14,111,380,593,195,912,820,238,203,995,629,223,252,752,424,988,188,196,409,730,682,566,67,135,454,658,523,577,391,455,79,229,474,632,583,536,962,924,152,863,705,117,268,365,863,687,795,539,899,851,146,966,539,707,716,304,739,776,860,944,316,183,484,689,610,761,887,821,201,611,979,313,768,899,266,872,712,691,108,939,525,709,64,958,73,120,189,887,942,519,212,138,275,840,354,514,998,413,320,53,865,214,762,409,93,720,14,967,507,218,227,347,77,22,947,983,713,43,973,231,650,33,358,986,975,86,151,613,773,375,478,12,538,775,283,4,806,120,273,452,596,100,517,2,225,886,551,427,781,179,210,947,659,820,694,408,887,373,678,493,296,879,252,813,104,924,648,765,507,648,846,998,113,795,949,134,838,384,696,690,775,127,868,647,915,392,739,749,537,13,42,281,731,438,379,944,379,481,995,36,657,992,439,206,592,448,59,589,538,409,228,351,842,194,272,916,709,988,554,20,514,323,957,23,413,533,398,344,232,466,303,238,61,763,259,701,352,806,812,117,350,628,521,315,630,668,924,692,619,446,419,302,964,892,987,603,906,741,908,104,662,479,116,666,530,183,757,881,79,251,222,126,750,262,623,513,44,711,403,354,263,258,282,201,426,787,956,736,697,30,612,689,256,954,60,355,8,927,214,332,592,761,213,263,729,254,123,115,841,507,661,98,912,651,783,32,297,841,746,521,28,320,920,209,459,268,704,719,635,890,658,161,8,16,457,722,370,666,814,232,553,704,713,770,814,424,624,273,940,385,868,667,931,649,600,203,5,917,380,384,160,623,752,284,675,648,880,165,751,724,859,448,738,438,263,903,914,142,716,489,498,913,593,163,31,574,841,131,610,951,139,278,922,594,656,592,637,360,438,585,657,490,529,736,878,512,318,936,707,634,584,758,54,668,111,434,396,704,490,960,603,917,534,395,409,902,541,238,214,693,766,374,805,800,49,331,76,125,365,987,130,787,56,42,384,160,512,911,220,130,279,979,58,284,1,138,343,550,2,929,874,210,972,279,535,240,43,581,240,687,80,768,668,611,604,465,808,359,958,77,474,574,436,125,454,235,845,810,374,578,361,288,465,665,202,183,368,972,694,430,836,69,936,295,163,873,292,415,848,686,867,585,187,855,880,942,480,150,865,258,504,356,706,904,303,530,466,799,347,507,263,918,335,852,897,446,139,148,2,979,295,653,140,739,650,658,434,578,568,80,688,466,79,465,146,523,598,355,533,385,20,324,313,279,75,277,153,421,775,131,523,526,696,333,886,240,220,489,25,600,288,255,697,695,762,725,558,980,603,259,831,929,395,85,160,528,458,531,191,784,758,230,327,979,818,759,988,165,260,530,121,362,787,575,652,134,310,915,5,655,59,606,811,840,337,695,426,641,436,28,502,258,507,411,531,457,419,994,524,352,181,205,449,956,772,383,892,670,630,102,442,500,559,876,471,690,916,78,62,330,133,853,299,984,31,218,582,230,259,148,943,916,670,964,774,838,737,898,425,969,575,81,701,333,317,798,912,792,704,71,930,426,640,7,823,427,997,624,239,969,887,734,507,659,894,340,72,591,442,874,773,950,982,882,769,765,497,737,580,263,110,49,563,554,436,280,524,981,249,662,903,935,40,605,251,955,614,855,121,209,12,971,793,823,359,144,201,62,508,968,170,618,67,715,249,487,718,39,81,737,309,14,270,353,673,279,51,705,37,50,565,673,794,150,854,487,21,409,343,168,740,387,721,759,95,872,855,982,891,54,12,27,639,532,468,635,741,254,116,326,761,908,378,31,213,622,314,913,911,597,562,307,830,652,397,470,89,836,302,425,251,535,67,552,685,74,936,55,416,725,94,482,363,755,275,879,850,490,309,49,18,820,692,912,202,495,315,652,402,236,942,253,209,44,339,215,73,83,398,390,347,251,392,900,36,117,314,378,361,414,360,182,504,653,921,554,324,981,876,480,96,389,184,820,171,557,604,57,331,768,588,815,801,591,503,625,912,73,607,291,785,351,903,153,616,784,339,576,1,317,478,936,568,727,599,103,208,439,49,434,511,371,219,101,38,439,757,313,725,63,621,477,456,216,963,176}

{844,694,91,114,138,261,765,267,536,241,768,972,384,853,624,841,931,882,66,852,60,670,882,171,401,5,105,280,873,646,103,556,872,343,354,950,981,823,859,183,584,820,470,104,471,225,738,450,458,505,984,970,847,546,616,354,946,805,83,113,265,785,704,682,556,45,26,756,818,978,180,221,81,960,252,628,783,870,915,956,15,544,229,349,430,207,670,305,600,967,199,428,372,633,810,192,380,819,872,975,546,79,48,640,450,157,429,898,600,245,54,973,674,458,261,68,759,440,354,180,907,577,29,628,819,434,244,917,334,289,820,714,60,744,107,7,682,699,991,312,255,60,779,40,852,811,602,834,767,453,884,880,19,143,296,958,197,245,199,796,217,146,618,402,215,89,623,367,653,690,9,267,340,234,264,635,120,213,621,971,264,983,755,164,472,508,642,228,4,560,900,790,29,404,387,820,125,4,962,862,777,281,439,975,914,510,66,760,763,914,522,753,756,950,181,836,83,838,442,116,973,70,199,522,510,204,784,999,964,619,558,676,57,55,791,246,22,652,349,890,415,889,310,997,87,1,443,99,132,29,58,799,446,786,198,744,432,381,57,627,551,896,188,160,488,205,290,3,416,71,650,969,296,937,335,952,218,522,627,975,37,838,367,144,376,360,571,795,737,951,542,934,36,224,681,89,696,868,862,546,178,881,403,36,168,997,289,139,435,24,348,329,135,918,941,670,327,198,587,91,493,910,586,66,575,934,263,376,503,757,280,618,811,379,872,846,615,838,860,651,519,157,170,237,851,785,818,357,903,816,288,812,913,536,323,561,875,480,470,203,895,445,367,43,544,323,109,256,290,204,895,856,296,855,350,326,214,123,921,735,529,726,849,287,373,528,619,696,864,217,91,9,618,796,410,254,301,738,105,985,739,635,755,570,824,215,22,252,575,101,278,952,858,26,779,361,847,637,396,911,949,528,454,478,482,729,740,149,726,802,970,861,642,299,909,471,877,788,6,799,682,503,933,264,228,421,146,298,942,635,373,62,456,305,993,202,133,529,566,687,745,685,410,632,901,941,257,760,84,9,808,989,495,725,743,907,888,176,82,441,377,245,143,88,73,888,454,674,656,497,27,521,972,942,585,92,187,1,33,309}

{166,852,557,90,858,167,801,359,357,41,986,18,85,225,905,501,998,757,389,384,429,589,322,740,170,842,899,277,974,32,804,159,255,970,648,654,658,766,492,496,658,734,884,444,395,314,943,746,806,977,350,50,803,804,398,276,153,565,469,118,951,89,294,85,906,886,801,233,213,511,272,621,161,166,308,642,580,562,807,211,612,658,563,230,434,644,881,347,437,35,271,929,63,857,395,513,427,137,514,706,169,346,241,469,280,628,535,477,26,253,701,544,399,507,965,316,846,339,800,110,874,276,25,524,440,76,572,727,939,445,590,597,460,926,631,797,495,144,900,417,303,304,805,578,179,438,599,880,590,925,499,414,393,569,51,869,930,730,850,736,968,21,31,833,846,35,647,230,902,437,400,854,96,281,964,630,475,461,488,329,577,356,450,154,897,833,515,281,750,103,632,870,78,926,991,146,232,830,939,103,104,691,462,595,147,986,590,396,711,847,152,151,945,253,587,163,256,445,494,262,596,673,904,208,946,553,595,760,608,335,753,916,177,308,231,284,627,359,76,17,440,501,115,460,17,785,267,347,874,992,31,595,408,851,400,822,274,898,353,831,636,553,878,578,363,547,115,474,664,108,948,513,906,294,153,656,214,824,304,134,661,679,726,109,483,328,930,462,771,271,140,42,831,226,703,660,288,802,291,177,857,337,799,994,949,759,908,460,516,144,742,701,262,839,166,705,854,72,723,711,948,922,752,86,240,626,331,679,127,283,939,666,117,700,352,592,38,909,100,933,404,208,209,474,706,388,8,928,172,150,13,839,323,651,21,20,128,981,369,650,314,582,96,559,432,90,388,630,608,355,947,382,604,426,415,929,502,499,304,382,157,313,70,883,294,45,695,717,516,869,321,989,696,919,940,976,42,134,735,41,337,369,88,53,382,469,621,550,474,579,424,841,341,641,958,219,504,341,80,703,389,415,262,787,825,288,411,958,179,569,467,638,908,634,826,814,461,724,500,919,11,111,630,570,683,645,801,940,179,72,632,656,359,582,530,510,472,704,230,161,473,654,64,477,486,222,113,562,475,560,71,2,647,869,700,437,985,701,427,756,601,420,406,196,151,210,129,963,548,530,388,797,508,82,266,766,773,655,884,393}

7

Returns: 13212
{570,384,19,271,121,413,383,187,882,962,813,331,888,346,446,950,804,302,245,61,421,243,305,943,173,117,779,570,976,723,450,138,507,587,385,143,55,775,46,525,795,801,350,99,936,684,276,287,386,318,567,316,908,679,941,92,133,78,223,193,195,876,79,931,976,816,755,370,366,471,730,789,711,491,490,381,991,703,78,862,37,430,366,234,216,106,516,78,518,121,385,504,776,398,819,99,154,330,88,763,447,482,975,908,2,701,605,770,246,133,347,614,158,4,888,730,258,947,367,94,748,564,144,782,581,174,174,896,331,243,41,480,745,395,492,886,416,870,737,142,163,261,331,693,422,402,124,536,711,142,40,625,675,231,424,338,861,18,454,128,157,226,444,444,948,789,983,627,711,203,89,306,733,372,350,955,220,473,141,382,281,716,197,400,10,111,515,974,861,768,485,397,903,249,702,598,523,583,630,901,546,171,602,387,262,889,301,497,338,6,927,403,864,645,249,669,252,491,595,577,398,52,420,88,80,406,278,590,89,802,659,23,721,810,460,967,583,887,486,312,259,621,609,575,800,536,37,693,959,278,471,716,238,841,923,286,798,951,535,183,656,103,931,874,701,37,579,924,40,192,947,642,671,702,211,860,559,463,814,987,390,55,621,181,849,346,634,217,331,882,599,851,568,477,23,877,339,495,344,634,499,101,581,860,563,405,437,195,373,53,132,426,182,216,239,929,346,182,775,44,560,518,9,624,13,164,808,76,441,372,767,787,859,793,581,534,165,977,545,470,689,280,876,229,329,256,543,223,741,52,689,82,87,537,777,612,361,127,193,701,362,299,118,84,781,610,316,548,89,173,868,532,592,390,456,877,364,451,232,121,90,400,188,217,411,372,335,813,215,625,178,885,196,618,310,936,857,670,302,694,757,55,919,728,378,409,83,436,972,5,476,921,310,974,537,979,89,385,240,91,12,946,309,459,647,50,747,743,446,90,810,632,945,183,566,252,181,473,208,298,637,531,855,443,188,774,526,431,388,857,49,189,579,2,618,407,126,338,694,442,738,718,347,435,310,422,568,406,722,75,138,530,178,456,736,159,89,977,289,744,611,59,687,30,780,54,602,450,472,606,15,995,179,765,953,441,302,948,146,350,345,510,757,312,951,34,361,296,387,410,584,400,371,480,777,466,127,163,217,649,677,648,532,449,445,868,614,808,81,594,809,171,718,458,205,226,852,968,189,195,77,979,492,313,440,920,380,342,443,131,153,536,823,813,481,624,442,570,462,568,922,289,575,328,805,335,501,487,156,814,131,400,626,374,413,448,845,792,67,296,459,885,549,50,399,640,440,739,723,854,741,428,13,69,474,973,567,620,912,71,928,928,719,329,89,643,227,622,331,640,957,597,387,981,624,874,69,6,842,540,277,936,611,389,39,209,278,713,538,787,857,459,191,372,305,692,556,896,430,279,291,937,955,239,451,376,577,591,4,30,788,101,853,240,98,298,743,27,808,578,504,511,974,400,835,376}

{253,652,5,315,619,230,306,201,300,560,142,188,456,284,114,257,225,554,396,107,213,95,440,653,490,524,536,158,381,85,527,223,374,658,281,237,387,471,237,468,379,139,229,575,196,29,419,239,353,222,356,405,289,379,663,67,420,597,660,7,636,122,623,341,194,518,182,539,204,298,527,296,497,293,452,384,506,315,507,189,288,126,300,316,131,622,147,65,512,127,486,208,419,349,157,374,472,443,128,13,18,22,524,183,68,543,112,540,615,650,601,247,57,568,178,184,427,633,14,294,430,260,557,66,566,181,529,506,565,125,536,224,623,66,509,644,159,400,629,245,76,625,72,217,295,486,127,332,372,14,606,57,291,312,77,135,254,353,105,209,42,33,10,415,567,192,176,169,51,163,40,273,285,278,576,72,136,172,342,190,103,10,594,48,419,83,124,101,93,259,207,110,593,583,596,134,626,564,319,267,487,571,3,55,154,630,427,434,581,391,481,143,179,431,397,452,91,615,662,62,370,561,19,474,607,203,555,339,128,71,75,233,582,634,60,371,558,165,412,504,465,92,337,89,445,434,299,569,231,544,201,333,445,47,309,460,240,98,321,104,271,631,575,242,272,650,39,68,181,282,503,546,265,449,350,195,132,526,163,91,161,103,52,482,224,601,117,657,446,485,468,226,377,349,105,528,334,12,522,160,151,299,532,362,421,150,324,561,106,229,407,643,446,209,228,600,204,36,150,533,301,506,640,610,458,636,618,124,249,295,355,333,311,273,425,463,213,174,293,502,620,108,556,500,242,625,593,474,370,299,158,642,586,137,44,460,133,281,33,647,162,292,67,244,622,509,349,156,193,660,394,121,424,570,290,640,545,271,118,250,609,245,393,17,588,138,26,518,369,591,141,449,20,242,144,356,123,482,276,324,193,646,466,450,257,8,280,321,94,324,562,18,38,292,90,298,622,266,158,239,551,356,524,263,587,529,439,565,523,95,348,78,123,317,176,304,389,311,640,174,112,86,315,346,36,140,534,399,218,660,310,437,3,398,119,9,471,309,169,290,293,398,573,633,312,576,330,209,318,140,255,334,268,512,465,279,263,486,458,384,8,160,165,144,564,255,534,662,489,556,387,39,91,611,234,629,480,57,394,155,279,192,58,283,418,480,170,203,421,368,587,284,571,134,566,388,397,450,628,84,1,511,626,572,86,569,352,225,296,492,379,204,288,165,631,313,618,221,483,593,62,63,64,456,52,456,147,371,166,367,352,213,21,574,71,531,384,306,243,400,230,415,613,564,548,321,35,107,385,168,422,53,200,225,500,113,609,317,277,587,655,574,17,388,307,274,512,648,284,18,40,265,71,404,634,228,342,614,507,273,1,659,590,446,168,522,635,297,513,495,78,221,571,269,407,562,620,275,178,250,79,352,406,345,163,142,196,147,630,500,430,234,189,227,639,312,513,460,183,186,208,294,480,117,154,30,333,397,351,643,396,86,586,583,259,382,297,440,50,376,260,27,274,635,108,263,54,316,54,286,437,638,98,290,194,337,464,484,37,590,244,532,84,160,372,544,337,75,198,70,553,274,229,649,357,203,647,111,218,85,632,110,193,9,281,597,614,476,633,439,522,327,153,336,84,199,232,589,306,83,184,154,58,395,220,449,310,416,5,186,583,220,329,211,240,555,485,586,589,350,375,124,250,182,404,64,110,208,484,543,45,389,247,330,569,650,330,231,454,238,228,558,567,494,217,88,503,532,269,188,471,652,639,390,156,575,291,646,144,243,296,170,16,546,557,221,589,535,492,89,400,54,205,362,148,437,519,490,351,180,369,118,81,100,192,271,121,10,100,145,634,553,138,7,311,318,314,584,113,62,143,238,151,536,387,495,227,342,295,155,508,139,514,646,630,7,198,90,627,286,390,615,570,38,521,233,554,254,474,376,563,232,61,355,15,256,29,530,294,268,514,367,490,129,596,286,194,535,454,647,172,259,107,0,55,188,22,103,214,545,255,663,9,196,220,138,143,374,597,378,328,25,181,577,581,218,420,645,523,501,382,440,534,47,572,369,269,382,287,186,378,199,145,596,260,568,429,280,461,476,631,226,566,219,498,206,99,232,638,309,182,602,53,145,601,227,606,265,29,216,174,37,200,351,573,482,347,394,411,636,658,385,567,252,655,101,466,463,648,39,554,93,663,298,141,354,390,67,484,375,113,38,317,139,105,436,421,28,514,545,128,445,142,241,205,487,643,402,240,591,375,331,565,476,134,376,441,48,279}

{25,338,291,479,23,592,659,300,4,49,417,494,166,358,24,23,373,523,241,628,498,444,173,549,658,429,87,338,187,123,187,302,537,223,424,629,275,130,341,473,171,432,95,179,399,66,153,511,88,159,361,409,26,580,505,555,6,136,289,470,655,322,214,462,288,521,34,475,195,457,262,469,63,517,477,425,313,557,549,347,656,364,494,104,215,171,550,340,465,519,499,498,60,350,540,236,264,416,383,212,408,282,116,420,515,563,187,322,627,46,133,408,365,207,386,366,661,648,45,41,363,472,120,510,473,270,645,190,641,331,79,115,184,119,283,414,612,496,496,167,223,304,549,164,13,493,323,216,493,12,99,372,457,605,122,360,359,531,538,77,595,598,413,501,96,401,214,30,96,343,96,386,645,657,224,49,59,624,183,216,406,320,407,125,302,380,638,185,239,77,414,537,572,185,262,550,22,251,56,411,473,533,530,520,201,357,112,267,483,308,457,346,510,552,608,617,122,92,173,626,197,215,341,32,325,135,481,612,665,335,546,101,609,70,616,435,395,32,14,459,381,552,4,428,37,579,115,100,585,0,19,132,215,131,125,447,436,131,241,395,413,280,251,657,97,210,574,653,314,162,25,1,28,249,2,478,603,547,467,621,11,396,235,584,432,344,206,146,502,16,276,410,359,513,323,464,256,74,167,325,519,361,287,262,146,431,573,611,435,344,69,20,191,119,600,448,401,559,508,409,248,258,264,547,467,162,104,412,411,118,102,538,468,80,164,319,528,417,114,624,176,65,331,150,488,137,70,245,109,477,48,435,617,642,654,405,635,381,258,453,442,354,360,344,285,287,153,159,653,252,447,578,322,320,222,535,109,463,82,47,502,13,559,168,175,410,433,205,605,157,607,173,116,614,406,334,111,501,649,261,179,235,69,430,266,651,516,346,641,175,664,53,441,73,212,206,268,441,202,434,97,2,458,50,355,87,226,428,167,87,31,416,202,538,608,580,308,603,426,249,6,198,301,551,23,611,247,235,414,606,577,408,602,392,451,332,348,531,200,582,303,599,2,632,469,161,439,454,40,32,492,475,418,371,478,17,116,4,438,358,472,58,319,511,33,649,417,370,665,580,132,443,44,115,403,327,88,5,85,73,272,340,436,433,283,180,46,654,499,149,505,106,246,83,304,373,624,266,515,238,12,320,6,264,603,608,82,11,230,478,548,244,76,404,550,303,526,202,76,639,164,602,508,542,637,481,584,388,617,328,338,126,627,45,540,386,248,328,97,662,339,79,34,93,380,539,121,618,80,455,453,231,488,15,78,428,560,92,49,212,152,24,171,34,261,27,577,393,46,276,409,570,353,585,20,364,544,28,518,152,462,605,451,412,289,41,642,74,236,335,36,461,31,562,99,475,285,61,604,415,547,19,488,541,267,592,243,405,448,378,336,377,217,453,359,282,170,444,443,578,590,44,427,63,41,455,525,219,399,61,325,246,499,133,65,510,644,345,616,516,177,360,354,323,464,470,21,155,277,135,431,373,455,447,190,383,303,90,307,277,251,50,483,588,559,55,365,316,429,392,366,600,548,343,619,561,270,493,106,130,151,594,161,422,578,332,621,504,68,595,495,426,579,661,237,576,129,98,497,60,69,659,329,520,89,307,391,491,59,126,507,114,42,551,470,130,146,383,363,410,438,257,73,127,74,16,582,326,599,402,656,521,15,380,529,656,72,156,75,552,467,525,195,366,302,661,516,525,149,137,8,413,256,191,423,433,308,654,233,364,607,313,270,108,442,452,357,24,180,3,361,621,326,56,432,102,496,425,503,51,418,327,477,348,129,595,459,637,652,211,644,177,620,140,120,479,487,339,368,80,401,459,520,278,169,178,527,599,246,185,537,479,398,466,485,64,385,109,207,362,592,254,21,318,261,120,556,51,377,278,336,363,166,423,612,136,172,27,610,199,31,365,581,541,560,35,43,197,392,292,191,42,82,335,403,438,444,664,148,253,30,253,94,509,234,347,539,149,594,403,462,81,59,497,651,141,526,393,329,619,610,491,598,52,616,504,258,528,43,563,542,210,157,591,358,345,367,613,81,604,275,305,604,451,152,558,424,343,389,422,43,461,533,489,391,568,541,102,314,665,305,222,517,0,402,310,491,632,505,641,517,585,637,489,326,111,197,628,450,248,543,252,211,94,442,664,579,625,297,553,305,272,35,469,530,236,426,340,117,301,368,598,26,56,448,515,613,651,210,623,189,11,177,588,175,148,542,423,219}

7

Returns: 13071
{154,56,62,152,91,147,108,120,70,65,84,143,19,30,176,72,155,104,75,52,151,137,78,11,118,164,66,87,159,192,193,40,158,14,2,190,30,95,53,97,173,170,6,132,21,98,134,82,44,170,82,193,31,197,66,146,64,81,143,56,190,116,25,55,9,172,43,136,141,57,86,114,129,7,95,42,193,132,16,158,73,120,139,156,55,40,124,88,144,144,158,50,167,116,11,110,119,93,67,120,146,35,96,84,32,7,129,179,187,36,47,188,6,129,92,54,62,64,100,49,181,70,39,81,43,181,89,79,70,152,144,17,145,37,160,145,32,100,198,137,32,136,135,154,17,14,172,21,116,20,25,29,57,100,503,37,149,44,6,120,151,20,187,32,100,39,59,134,30,73,162,153,174,96,36,34,8,154,32,34,79,111,170,198,3,151,183,15,152,107,169,199,197,76,13,54,114,42,41,200,105,48,101,100,117,79,52,103,154,162,170,44,184,22,146,48,47,17,149,156,6,60,159,87,110,93,137,68,88,200,198,197,21,145,126,15,59,134,190,185,107,34,97,52,23,153,144,72,79,121,139,199,85,106,108,43,118,56,158,180,56,82,95,30,158,66,184,137,56,38,195,53,126,57,165,193,167,145,179,85,199,174,17,128,191,187,106,78,64,139,122,186,144,62,98,161,81,152,103,94,141,30,156,128,46,61,102,144,132,168,178,119,194,95,146,138,141,4,88,98,6,50,71,54,180,41,18,96,100,157,51,186,6,106,61,4,57,185,145,64,18,32,164,157,142,136,53,160,46,137,102,114,86,147,40,47,200,103,48,90,34,166,161,154,101,2,142,73,103,171,7,16,160,6,62,191,48,169,118,70,118,124,158,165,24,118,29,61,18,174,113,96,163,118,44,138,144,108,67,50,33,186,116,131,140,15,91,6,91,107,147,171,119,137,63,197,33,66,67,1,180,22,19,177,190,93,180,68,87,31,149,7,41,8,132,109,133,11,181,142,158,173,66,11,29,49,98,8,41,155,150,64,197,20,158,3,110,187,18,111,171,192,200,137,49,112,139,197,131,95,33,30,158,5,16,98,133,153,96,78,103,823,141,39,88,155,176,129,123,150,101,175,16,161,19,86,100,32,19,172,70,176,62,114,150,140,131,12,20,102,196,90,13,78,14,22,5,32,50,171,98,151,195,112,36,171,42,162,59,3,86,48,65,46,103,187,130,19,176,106,195,10,14,76,65,70,77,113,163,178,40,65,161,102,70,42,143,111,22,163,94,114,185,153,80,80,25,133,177,39,122,114,134,195,100,137,82,48,168,33,47,95,124,7,154,100,141,139,173,63,178,127,108,143,151,94,40,98,118,111,16,158,172,6,122,16,193,1,55,170,151,1,143,39,23,190,182,22,160,7,58,103,180,58,104,136,102,24,73,100,54,61,31,67,152,76,98,57,71,176,188,176,117,185,105,162,81,200,87,164,123,62,185,56,130,169,21,28,6,69,135,86,146,115,5,82,80,100,92,102,167,15,35,46,80,119,54,171,46,163,62,56,7,87,60,117,36,71,13,69,198,185,119,146,38,118,165,132,23,176,94,177,175,155,152,71,39,41,152,67,51,34,50,162,14,111,57,114,193,19,105,94,81,19,24,180,116,91,85,123,94,78,120,99,36,81,34,15,156,137,86,161,14,34,14,200,188,23,180,169,60,193,151,18,112,15,137,137,188,71,192,169,199,23,97,180,105,190,57,4,8,13,192,181,152,169,168,166,135,122,192,58,63,10,198,51,123,155,131,70,5,95,195,97,181,59,190,135,199,192,149,24,193,120,35,25,127,69,175,168,42,51,108,178,33,62,109,196,152,44,108,90,9,171,86,153,200,16,167,21,69,6,175,55,44,151,1,140,4,118,58,164,13,170,85,131,87,62,118,140,186,12,16,172,76,23,90,106,23,159,106,122,54,156,128,176,92,171,187,156,173,5,60,181,151,51,69,129,143,187,103,69,144,108,107,23,158,142,194,166,166,161,153,72,60,170,147,178,58,53,146,43,69,100,2,199,183,161,89,143,195,195,178,154,97,180,30,47,81,58,185,181,23,113,190,51,103,70,174,11,18,167,60,169,140,94,102,84,65,148,102,167,191,85,152,135,49,80,109,22,175,161,49,73,52,141,100,151,51,15,178,60,114,197,168,124,114,119,60,79,61,26,144,72,168,159,119,55,48,156,72,102,3,2,153,152,148,73,110,77,184,191,161,150,3,175,130,114,198,133}

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7

Returns: 3367
{91,168,193,158,133,191,140,8,164,186,50,16,183,104,104,142,35,54,188,111,111,64,16,93,27,198,2,52,113,44,70,196,118,154,67,97,41,131,79,158,109,24,111,11,138,6,158,193,14,200,83,102,14,182,145,129,185,1,115,136,166,80,185,63,133,127,69,49,117,93,78,116,178,158,79,180,9,137,57,189,92,93,197,177,161,170,153,159,40,66,175,127,60,116,198,192,98,28,33,81,102,78,104,122,131,13,20,123,111,82,64,3,178,47,96,53,5,38,21,98,48,107,71,105,71,48,175,123,196,107,36,84,36,190,142,167,38,49,108,106,55,152,182,120,31,144,76,110,194,123,54,63,52,199,170,20,97,75,185,166,104,29,118,164,114,132,95,30,157,92,7,83,90,51,37,9,59,2,41,143,31,115,105,48,77,90,108,125,58,20,7,106,73,183,173,123,97,182,167,40,147,154,141,196,173,141,172,162,190,71,113,82,154,49,84,105,114,195,63,109,70,148,15,173,17,111,37,137,94,183,107,116,187,54,106,44,165,155,69,100,153,24,85,129,64,73,161,190,137,35,66,60,74,50,136,77,54,181,60,53,32,185,143,149,7,122,25,3,22,151,4,122,53,146,35,149,11,11,10,110,93,185,160,155,143,197,84,162,74,20,107,6,122,173,15,175,42,84,117,99,112,158,42,28,9,61,171,23,25,156,132,93,73,45,199,156,108,7,107,7,86,179,179,93,31,181,123,14,185,15,30,157,136,168,15,421,97,190,15,159,147,69,58,3,28,108,104,31,62,29,134,160,168,19,81,140,97,186,125,157,153,131,116,112,106,1,74,20,129,160,8,151,184,82,138,194,89,39,87,119,32,141,110,139,19,152,177,77,185,4,104,88,187,51,181,24,162,16,87,73,24,83,193,54,144,68,143,166,97,178,9,170,14,90,151,188,16,162,36,165,132,124,165,153,3,2,94,192,79,37,82,130,27,34,118,79,183,132,73,5,24,161,116,71,132,95,58,81,142,64,42,191,131,111,79,87,96,61,193,74,40,58,190,171,131,98,162,172,26,15,200,81,147,99,100,137,175,114,66,57,26,1,55,117,32,192,101,124,80,86,86,67,71,31,54,95,102,147,47,24,56,47,50,194,156,99,4,182,109,107,164,158,151,131,549,144,153,192,69,131,70,61,36,90,95,107,38,18,48,152,159,50,57,82,29,37,127,733,42,118,83,133,112,138,66,68,127,33,9,126,118,76,36,174,106,162,89,91,101,113,8,105,55,191,161,111,168,52,57,109,184,128,150,162,77,22,158,140,151,108,162,31,9,75,114,112,187,35,93,81,16,83,89,191,132,178,145,93,200,76,68,120,132,72,105,29,160,191,39,167,195,142,78,152,36,53,168,150,189,24,53,198,5,132,43,169,137,71,5,21,96,167,47,8,133,160,149,80,64,191,156,36,96,17,30,195,32,155,175,3,159,84,10,28,77,151,96,139,174,136,129,184,112,48,31,16,81,100,113,91,11,41,176,4,199,128,7,161,85,28,115,7,115,76,175,14,131,126,67,83,114,70,6,192,78,68,94,26,41,51,169,24,58,92,40,9,67,4,61,38,152,70,163,181,105,130,72,29,91,17,62,181,28,25,31,111,53,59,94,171,8,83,118,151,8,67,176,33,161,154,161,126,105,65,134,99,118,10,175,8,76,27,12,149,121,111,125,12,69,60,61,79,173,115,139,197,151,191,63,77,47,115,114,14,16,115,22,125,118,39,19,62,168,9,193,156,169,199,65,38,180,138,126,12,181,160,109,174,54,13,21,151,7,32,66,71,183,47,132,89,89,97,180,13,174,163,196,53,32,185,122,145,64,147,57,107,31,24,60,115,104,100,93,133,115,20,170,89,140,98,161,194,3,194,42,126,35,185,57,89,67,183,10,117,109,180,165,182,149,50,35,23,125,132,142,34,146,147,67,79,86,102,750,13,59,144,158,132,22,129,156,19,60,197,138,12,65,25,25,182,124,25,185,157,64,67,105,164,35,124,96,96,52,35,146,102,105,185,152,107,80,64,168,190,52,79,1,166,144,54,7,15,143,50,49,74,197,100,30,124,54,107,160,5,185,32,135,145,153,25,141,56,78,113,106,1,90,136,50,15,42,24,54,26,40,45,191,98,65,117,46,136,15,12,92,131,182,63,162,36,68,166,73,41,140,13,101,119,77,138,173,104,139,25,197,176,175,76,144,26,35,134,169,59,41,152,148,53,17,36}

{860,511,20,29,142,865,642,187,62,823,280,974,810,351,506,82,947,412,44,96,926,901,484,785,851,990,769,486,474,411,188,286,612,950,640,961,59,705,623,33,219,49,911,900,75,245,718,360,124,659,693,804,665,310,427,309,597,77,129,45,427,981,885,72,259,252,281,513,222,200,323,264,392,603,535,246,773,679,963,738,794,992,893,403,477,843,282,817,707,959,313,855,472,168,374,254,173,322,185,550,322,171,319,436,148,555,593,700,67,180,727,863,959,706,525,442,106,549,97,62,642,226,850,129,722,926,141,189,380,802,25,102,684,336,765,935,512,192,876,955,145,474,350,178,80,854,998,345,601,566,547,677,323,129,643,922,738,35,791,956,361,710,935,888,336,9,231,533,299,369,748,532,37,260,196,267,263,215,696,756,209,158,268,753,55,799,906,571,719,692,263,38,243,816,539,418,889,69,157,863,288,566,987,992,262,657,288,726,260,547,896,282,684,739,883,869,609,649,29,407,274,4,933,860,986,170,369,207,830,281,140,721,548,624,701,324,845,981,815,660,688,67,105,78,755,488,284,442,846,804,612,626,320,587,166,920,567,807,532,907,62,886,432,314,923,479,165,250,884,72,798,666,735,73,946,857,353,848,148,72,621,604,650,410,218,748,642,347,176,805,156,923,501,373,573,718,366,374,819,799,661,46,707,96,796,192,484,173,215,501,707,751,622,357,679,794,186,109,209,350,616,3,292,57,798,979,920,968,691,36,782,49,187,987,23,418,189,878,368,55,50,233,891,956,196,768,994,542,121,688,279,954,878,473,494,727,955,663,513,427,249,365,918,468,600,451,807,299,840,472,462,343,51,979,833,238,730,994,215,452,472,852,583,571,190,319,396,449,992,536,999,352,655,567,766,963,187,176,501,157,606,998,208,265,292,679,660,264,984,9,286,59,864,925,809,339,430,818,724,752,511,757,922,244,620,513,619,706,773,716,979,822,503,855,820,415,702,573,784,840,247,571,272,108,430,635,207,85,304,270,263,107,9,635,709,302,177,634,506,794,624,837,821,586,610,529,697,505,952,779,155,603,167,643,539,396,795,924,665,245,705,432,943,858,629,437,322,485,3,45,317,739,659,453,308,833,126,363,619,220,23,593,39,35,535,85,601,165,150,741,696,45,342,408,106,818,56,431,299,667,610,984,216,779,121,296,693,821,419,35,576,735,77,768,662,202,776,119,281,101,261,23,330,30,234,697,342,624,816,662,785,746,651,246,282,323,507,384,952,587,93,657,635,39,554,7,603,81,643,888,371,105,914,348,85,786,201,417,773,146,258,106,957,208,823,277,3,30,291,487,426,896,109,241,147,222,572,7,484,487,66,877,848,818,145,565,27,30,762,604,568,938,986,925,201,838,977,733,812,867,739,912,543,594,853,567,906,217,474,204,236,550,686,710,661,566,462,903,814,914,487,373,464,386,383,426,805,226,606,291,324,864,974,93,217,243,225,46,519,956,806,370,71,100,38,754,370,628,438,422,104,596,525,612,206,883,977,585,442,906,814,328,48,73,173,697,168,290,257,261,447,681,329,885,81,206,163,366,300,310,167,761,511,329,662,840,654,604,554,632,915,234,881,465,957,570,998,724,521,819,950,255,93,82,197,426,837,760,225,541,498,166,384,466,494,741,200,559,682,519,222,161,138,898,338,15,587,563,960,51,11,910,623,987,54,183,857,682,447,708,970,959,891,693,740,825,787,547,610,489,270,909,644,627,745,172,161,77,477,119,158,698,248,350,841,226,121,84,351,450,463,923,374,5,311,764,811,562,403,161}

{224,175,552,767,391,328,645,780,657,247,582,317,932,359,588,101,83,316,119,160,563,149,681,13,549,435,815,182,424,674,769,57,985,664,871,454,767,159,434,993,452,900,962,771,653,403,273,278,298,949,87,207,450,545,465,400,146,122,68,927,46,800,489,759,810,782,811,171,293,683,808,691,349,475,886,247,738,163,541,613,522,837,133,133,667,534,108,367,164,44,370,558,877,75,833,76,573,372,418,765,598,926,221,728,116,830,588,577,900,104,893,798,84,210,955,896,721,199,128,12,760,877,273,795,197,411,666,535,120,151,882,996,725,13,305,276,647,774,496,830,982,988,915,576,892,400,264,406,546,16,200,86,450,590,957,320,843,823,423,699,404,666,110,821,70,48,91,319,107,460,227,552,548,178,320,638,392,702,357,771,101,354,741,772,331,12,115,482,262,784,752,238,769,972,650,372,842,186,471,731,139,991,33,530,393,658,12,499,205,162,621,159,936,704,287,32,130,111,516,444,387,387,236,695,514,714,412,37,415,780,641,26,324,591,357,905,258,381,936,701,891,802,510,634,19,897,909,866,756,506,854,690,958,218,181,932,98,791,856,905,496,524,729,634,7,771,500,303,83,932,592,725,673,704,493,485,289,78,265,453,344,49,792,842,86,803,825,316,596,509,728,229,120,750,228,747,229,789,639,408,22,221,660,673,503,748,326,518,41,989,133,880,895,400,617,996,572,585,135,406,980,335,523,79,259,754,242,582,714,429,295,175,853,522,178,580,940,945,953,186,931,385,208,500,305,224,193,79,54,431,41,493,279,394,870,305,42,257,889,388,876,692,500,763,985,918,862,407,754,223,364,894,146,530,377,706,162,296,783,953,44,868,486,709,42,58,381,470,734,828,890,267,656,528,995,810,674,988,47,618,373,895,589,454,40,379,658,475,681,799,212,671,424,277,859,881,92,924,131,68,27,32,165,767,826,564,421,527,720,380,417,482,461,125,613,273,392,691,22,251,544,377,548,256,369,83,26,975,699,698,438,467,235,827,996,699,509,387,145,952,930,569,781,464,180,153,164,246,859,880,290,512,174,310,655,380,654,592,632,676,176,388,885,431,726,714,983,968,607,148,639,43,989,880,419,623,632,572,382,677,6,144,852,791,523,408,785,644,975,787,363,808,149,480,967,726,212,11,866,908,117,792,538,940,538,937,625,561,128,598,584,711,578,675,347,89,13,65,27,389,36,1,414,287,883,836,284,158,388,499,881,963,256,646,276,184,503,229,253,650,770,828,243,937,646,584,958,255,476,605,122,434,233,414,936,163,389,144,339,314,522,686,139,275,878,391,659,948,262,16,712,492,862,674,217,965,20,131,18,784,338,332,868,462,458,480,742,616,841,658,647,54,872,110,752,829,205,143,444,397,334,457,812,960,796,988,124,795,763,184,239,543,800,371,221,301,942,690,749,29,60,275,617,940,925,519,33,894,730,17,599,495,446,57,423,927,516,630,415,290,580,469,576,154,276,680,26,256,982,512,453,149,982,844,391,775,584,499,314,931,931,283,81,203,71,716,534,274,534,361,41,184,71,118,945,65,239,826,210,237,495,527,318,177,317,537,868,805,845,359,478,228,664,344,729,490,997,138,894,378,686,159,719,862,206,394,240,4,895,921,139,421,58,910,424,856,557,564,719,378,337,338,274,375,152,844,808,516,379,73,531,375,465,195,815,720,375,479,874,308,687,935,359,863,672,480,592,112,518,964,493,549,16,638,692,857,782,61,908,515,227,582,287,224,890,180,171,128,644,61,750,756,550,116,138,328,308,981,353,78}

7

Returns: 4095
{19,127,141,31,44,197,155,82,118,151,6,72,158,141,111,136,95,97,109,5,122,170,101,187,54,114,73,57,125,53,69,52,78,67,117,76,8,76,92,107,173,29,104,10,122,72,136,28,17,5,46,30,19,128,182,4,56,70,140,113,144,179,69,123,88,97,148,198,60,26,85,22,92,189,97,1,71,95,15,172,86,166,42,115,191,125,24,103,72,61,121,136,89,64,198,193,50,164,26,162,145,31,194,93,192,85,83,122,183,140,6,83,75,13,31,171,39,163,182,190,198,172,60,102,78,190,133,33,62,39,68,48,124,113,162,134,158,89,136,26,40,145,170,63,145,55,136,183,6,26,29,78,64,129,132,16,153,130,146,70,179,38,14,182,111,170,76,161,75,74,138,164,165,26,131,118,161,172,130,129,193,58,12,140,43,111,38,73,20,79,90,59,168,21,34,116,177,60,96,17,53,25,62,179,119,39,23,86,37,90,74,130,41,177,112,198,148,96,77,76,85,119,9,27,1,80,103,195,93,169,85,152,44,157,71,9,180,178,72,73,48,57,39,988,122,57,93,88,160,77,81,183,105,136,164,114,11,14,38,109,163,77,187,52,136,84,46,102,197,193,113,142,12,112,62,19,60,131,166,100,96,154,194,35,184,68,16,182,38,111,13,95,45,169,118,162,181,42,41,118,157,21,175,159,140,30,3,11,41,86,190,8,177,13,13,13,103,161,91,154,71,145,170,42,150,10,110,67,23,33,15,170,159,117,153,60,197,165,182,130,134,129,33,137,54,185,57,79,65,97,176,120,149,45,42,50,34,136,178,29,142,123,40,52,55,155,156,177,29,194,162,80,101,75,124,30,94,31,25,143,192,195,135,86,118,114,176,57,151,131,181,113,156,116,150,191,88,7,144,142,111,185,163,150,69,46,186,9,179,98,91,99,184,8,155,66,35,172,143,7,151,116,24,164,5,59,161,97,139,175,96,35,33,80,126,77,30,166,149,109,146,92,140,101,132,73,87,44,163,161,124,171,37,95,12,24,973,178,136,76,126,107,125,42,149,192,179,183,142,108,52,178,62,21,126,182,91,131,108,168,135,117,376,29,18,111,43,105,119,97,102,63,159,27,66,2,67,200,146,19,50,151,169,13,129,5,7,105,174,416,54,57,76,180,167,25,53,8,71,18,49,173,102,49,165,161,163,51,137,53,51,14,30,43,102,192,98,88,170,162,6,154,184,120,68,190,1,186,164,41,54,53,74,84,137,127,171,90,18,143,141,70,73,71,80,32,42,167,169,184,189,124,175,126,85,104,154,85,34,58,14,23,3,106,51,95,83,16,186,90,176,10,140,34,27,64,98,147,184,194,53,58,148,188,131,44,3,113,156,91,167,150,28,16,187,141,172,54,174,159,122,70,121,137,20,185,162,171,197,9,65,91,197,181,40,156,51,190,90,62,109,51,91,109,29,58,100,58,106,70,68,7,139,7,79,2,841,192,122,29,113,105,35,107,35,89,129,166,151,58,104,87,100,198,154,71,143,174,12,106,58,117,195,76,137,119,172,62,625,144,93,81,41,197,62,1,79,174,169,163,168,180,92,21,62,131,96,101,33,175,54,65,5,184,118,9,129,566,174,116,85,79,152,34,136,88,25,6,148,84,168,197,24,180,43,103,51,38,54,140,4,54,19,40,6,145,166,45,82,186,81,157,16,8,141,55,152,17,43,129,10,68,17,63,178,115,79,1,199,183,200,153,131,137,111,146,191,27,188,139,146,171,162,99,54,13,124,54,12,60,199,26,156,150,194,154,59,115,181,148,159,105,770,144,20,183,166,110,57,164,160,133,57,3,95,118,166,139,41,121,48,182,74,15,194,186,108,19,46,176,42,171,179,140,137,160,178,13,106,90,49,2,132,105,142,59,62,139,24,98,62,193,51,133,73,166,44,100,103,306,38,20,92,103,196,100,186,156,917,20,11,197,157,53,62,72,111,195,15,192,22,120,140,161,70,69,160,118,4,171,16,177,3,86,68,150,36,186,40,610,68,342,58,103,52,79,181,129,111,24,109,31,11,169,28,22,124,371,97,141,64,137,121,186,79,131,40,125,838,59,51,114,61,151,173,8,11,183,75,166,73,118,14,167,126,76,43,102,17,424,124,115,187,159,95,79,114,28,134,191,100,136,128,69,139,11,93,50,22,52,91,154,57,33,130,159,180,2,53,84,170,1,81,38,81,166,109,18,122,120,88,20,102,119,75,182,177,183,139,43}

{448,22,582,435,381,668,351,96,684,904,854,255,118,559,425,572,906,619,233,218,413,152,671,54,369,43,45,773,341,351,981,788,222,769,426,17,716,997,51,997,908,463,834,530,299,82,484,277,554,72,299,49,926,525,890,665,386,376,213,875,632,640,704,8,170,425,255,925,94,728,810,503,22,865,420,637,751,208,244,942,683,950,343,3,330,867,513,274,548,274,888,942,387,87,958,837,54,602,795,230,486,992,645,562,321,761,167,532,630,694,115,108,105,286,209,164,532,358,586,638,69,562,831,703,842,734,762,324,326,80,674,907,807,650,52,560,108,984,631,743,749,876,279,680,435,56,909,261,785,211,445,387,694,357,809,192,189,173,160,544,514,190,649,125,5,905,800,680,896,550,302,358,943,569,572,821,684,863,906,940,584,360,785,231,932,758,992,436,909,539,375,635,273,858,81,170,711,760,634,453,53,52,598,840,844,54,946,693,74,718,699,223,313,862,862,916,385,646,1,347,970,427,690,160,649,372,637,436,956,908,629,81,356,87,963,590,37,430,546,860,614,21,522,567,30,132,903,70,445,870,361,89,792,829,371,882,833,556,51,187,567,10,472,946,934,199,947,723,316,981,318,510,969,104,72,455,788,894,829,365,703,600,639,894,82,312,161,87,386,9,279,253,652,233,83,703,669,373,98,946,141,925,392,823,778,167,446,898,896,873,753,541,649,760,941,525,631,245,992,110,782,396,574,391,664,363,148,619,619,263,335,666,665,189,406,103,981,834,788,913,833,718,635,666,71,934,106,686,275,653,907,136,473,168,115,521,364,613,730,398,620,750,604,299,967,525,5,953,498,83,600,141,157,830,909,684,627,894,799,245,123,503,552,427,749,930,498,441,503,862,514,852,368,326,197,52,275,842,10,599,711,430,535,311,239,476,621,956,665,321,745,80,560,854,579,116,574,634,384,771,571,359,375,591,627,660,447,941,88,181,750,443,905,238,434,565,854,534,839,623,245,56,716,146,97,876,595,704,912,423,858,645,211,419,929,435,629,436,592,206,863,398,351,543,450,134,800,785,143,262,528,735,255,844,108,153,674,326,800,592,29,80,246,534,727,511,582,837,664,623,614,582,213,579,844,962,493,955,950,934,792,614,323,758,405,676,798,637,792,388,71,900,655,627,926,904,441,728,3,832,222,722,336,373,690,539,596,508,664,34,642,483,238,473,784,470,175,954,991,144,847,930,907,285,18,106,348,761,947,595,493,42,613,477,846,375,797,638,161,146,83,512,10,380,202,681,78,380,458,658,217,189,39,44,289,434,167,237,140,6,648,238,366,948,132,823,937,856,916,47,119,678,858,312,600,156,505,932,89,841}

{735,766,692,215,720,101,741,786,156,220,38,641,871,269,241,325,590,278,708,258,846,140,212,509,419,24,445,536,280,686,691,40,536,819,748,677,658,247,814,774,253,847,845,478,979,18,823,439,531,898,628,277,612,859,588,728,179,927,945,76,567,522,501,840,736,144,818,219,55,506,349,688,751,307,70,774,381,822,388,557,692,69,682,662,13,767,457,53,962,483,309,183,325,344,874,373,362,987,708,263,966,687,197,770,739,250,968,130,14,246,121,773,675,337,961,119,849,237,318,344,131,346,24,553,504,741,279,278,266,661,314,899,626,357,491,601,204,451,453,559,219,802,484,367,68,178,400,849,531,195,355,583,297,162,8,780,284,919,506,281,315,155,169,643,26,377,428,808,179,491,406,174,937,685,343,147,482,996,3,826,281,163,756,195,158,145,551,174,30,616,76,824,581,874,774,461,93,27,307,324,499,23,44,697,196,514,331,683,276,24,501,237,969,161,888,965,51,535,892,952,68,466,9,151,631,424,818,239,944,725,123,55,475,708,530,651,212,583,671,485,511,5,634,258,272,982,459,111,720,306,766,998,957,541,782,994,250,698,349,615,635,696,322,897,469,709,819,527,264,549,982,140,919,469,519,492,515,199,84,529,65,622,360,175,819,91,406,932,979,387,381,317,835,548,490,564,461,878,12,153,527,531,401,212,287,845,331,924,95,466,262,507,931,35,150,928,296,739,465,982,952,309,846,193,590,902,403,654,121,322,641,16,94,382,939,110,213,678,804,11,742,638,964,727,16,927,702,736,201,559,243,53,367,958,958,564,440,695,254,810,407,852,585,403,466,656,329,391,485,68,545,529,712,943,860,949,505,860,689,720,344,901,469,77,287,636,987,355,839,755,587,601,280,444,955,429,41,568,425,870,232,349,612,851,745,536,918,523,497,499,535,206,701,868,662,504,327,517,218,144,957,209,392,938,369,748,961,106,263,18,551,773,122,241,880,114,917,182,224,191,310,265,358,34,388,456,206,317,810,803,412,797,463,489,222,987,175,805,978,26,865,490,517,607,26,122,748,766,898,324,157,904,674,367,500,657,136,776,278,875,372,578,200,91,985,451,295,583,280,308,985,545,287,62,817,27,193,903,352,4,284,417,691,194,850,84,146,753,546,421,914,423,151,444,58,439,115,209,639,603,620,431,135,691,320,42,329,791,625,399,711,339,647,368,70,430,163,55,902,240,952,488,717,137,975,500,307,611,479,94,944,401,265,438,207,763,343,468,650,184,737,722,681,924,360,320,76,402,709,675,709,84,767,194,197,147,781,911,389,202,812,195,556,448,942,586,601,753,874,378,166,887,522,283,736,247,57,848,770,488}

7

Returns: 6439
{747,175,192,125,139,17,35,162,153,179,11,94,141,195,161,145,154,37,46,107,146,56,10,200,30,148,20,4,192,63,116,116,40,98,155,119,104,41,36,77,53,103,129,29,15,127,27,138,106,51,146,92,144,100,66,73,167,14,94,361,25,44,142,173,179,69,198,116,117,147,161,191,190,130,6,181,3,20,99,181,148,106,57,73,37,34,519,60,93,41,98,64,2,23,175,192,154,105,97,155,131,92,61,46,919,85,117,79,145,133,93,162,47,88,126,8,48,205,178,119,10,58,121,11,5,39,146,27,75,48,168,168,63,115,126,96,179,43,82,107,143,138,134,125,148,65,14,33,58,168,181,59,133,155,70,241,128,92,90,182,90,140,120,156,66,3,10,200,83,199,58,112,162,144,62,15,101,127,181,16,71,93,179,195,191,198,58,2,45,87,82,83,74,19,15,108,177,152,77,137,147,88,20,187,141,36,115,144,69,197,108,5,2,38,153,109,74,129,90,150,47,162,77,109,192,134,35,78,132,86,160,28,95,78,53,31,28,105,9,814,638,178,178,95,96,126,87,109,21,41,65,4,136,94,42,96,196,67,151,135,115,130,49,102,428,54,160,190,59,110,118,177,120,104,104,830,85,44,39,126,90,67,185,44,160,51,162,121,53,57,178,39,17,77,142,199,122,38,89,45,89,74,194,31,19,43,31,26,29,9,76,195,18,107,97,188,61,141,9,71,85,170,96,81,26,10,160,177,180,9,63,117,833,81,52,149,30,186,137,94,67,678,8,122,141,19,3,64,18,50,166,100,189,160,86,192,652,78,66,190,103,129,164,126,3,23,2,104,50,153,89,100,142,186,56,156,87,184,141,16,159,28,3,44,18,177,34,117,25,144,25,137,108,154,146,580,190,111,20,111,85,176,47,56,43,102,53,171,186,171,35,152,45,87,52,128,177,111,53,101,55,7,8,73,33,174,101,3,198,173,72,37,197,166,85,157,113,89,105,10,191,60,139,843,135,121,75,81,51,23,176,15,16,151,133,123,73,49,128,42,28,16,20,164,16,15,92,158,187,160,15,199,117,153,25,52,144,14,95,173,62,196,38,173,10,47,27,70,180,150,184,674,180,140,11,161,129,63,100,99}

{327,228,29,190,167,357,430,326,9,457,119,215,33,40,403,304,191,324,477,379,401,268,223,278,296,169,16,42,222,71,452,292,157,232,258,426,228,146,46,431,211,176,485,460,342,447,293,22,46,316,129,450,74,166,169,402,3,35,39,329,389,344,47,388,40,419,242,66,458,113,314,178,344,188,344,51,27,241,10,191,338,492,112,379,480,493,324,27,97,423,285,68,316,176,77,270,246,238,259,16,144,313,342,260,176,487,226,414,488,25,180,462,280,322,122,280,323,350,495,474,394,39,277,171,263,363,285,427,247,151,305,139,329,421,421,211,172,183,152,399,164,399,463,432,148,270,310,304,405,294,260,266,352,376,269,167,67,238,52,430,175,267,241,360,396,47,451,233,339,256,439,190,350,293,365,303,388,140,497,174,163,367,145,403,267,330,48,178,139,247,28,256,268,345,223,473,486,427,392,483,299,490,440,380,202,68,159,1,492,182,486,297,200,408,43,139,22,193,97,477,228,69,163,49,373,314,51,205,165,193,246,83,214,132,372,188,18,407,108,88,432,349,218,209,392,261,273,265,449,439,174,143,125,103,195,105,252,495,302,345,25,314,179,420,178,128,196,424,387,23,411,292,92,468,280,21,39,266,420,366,372,74,247,41,108,483,315,456,458,92,425,133,384,123,499,133,215,478,373,372,345,267,469,368,270,4,62,428,278,400,109,383,252,248,242,2,312,330,204,113,229,458,150,112,175,225,447,438,242,150,3,55,490,359,214,87,16,311,53,179,476,64,261,204,255,187,232,450,209,439,82,315,58,322,42,364,307,188,490,206,363,323,70,444,105,427,350,330,35,111,402,48,4,108,241,468,245,5,361,124,309,96,110,12,482,128,211,288,145,219,252,482,92,478,414,378,303,84,21,219,485,492,307,180,123,131,362,105,312,99,173,384,185,47,389,365,209,310,475,389,417,191,433,72,462,476,229,362,312,62,456,64,71,376,161,179,62,187,168,368,129,370,453,333,208,221,72,83,471,450,370,281,327,463,398,75,13,407,88,82,328,235,374,75,148,320,403,210,269,357,326,464,364,420,149,388,387,451,195,300,149,433,436,371,174,273,35,399,412,451,496,334,282,150,479,273,119,50,272,110,71,6,218,185,29,374,100,293,473,45,442,464,200,7,36,23,180,72,425,157,41,441,472,50,128,205,421,276,338,482,340,96,481,472,238,115,296,336,289,64,394,465,414,9,405,351,342,327,30,452,323,386,154,499,22,497,322,67,387,374,253,131,260,171,43,258,373,473,408,14,271,125,50,254,172,258,285,215,109,407,499,120,102,359,338,265,78,127,417,271,225,109,404,149,113,145,25,478,483,311}

{462,263,216,166,353,164,288,30,298,496,480,335,164,61,2,93,349,38,495,55,424,223,391,212,309,170,250,186,397,471,210,358,183,278,277,89,348,121,249,49,271,103,201,206,227,161,409,235,141,102,230,402,170,295,32,379,79,333,30,137,256,218,301,65,4,331,142,137,401,481,121,86,360,140,183,393,290,205,87,398,405,410,237,61,54,225,466,73,431,194,291,116,36,386,160,413,390,266,469,231,15,111,24,197,359,444,434,135,227,438,97,112,244,126,426,286,494,380,394,198,335,61,99,182,378,88,466,85,175,57,3,437,274,455,452,202,233,63,38,436,73,358,224,416,262,129,243,208,262,224,75,416,333,432,489,479,409,116,184,428,416,393,325,334,287,446,76,118,351,417,243,5,324,377,43,244,264,380,455,63,160,14,296,305,367,107,488,120,430,331,197,316,419,237,2,468,263,213,140,370,89,0,220,249,89,328,409,385,66,382,429,357,440,90,158,165,305,470,489,336,197,233,441,465,423,449,377,355,159,295,463,127,295,301,279,386,114,19,356,406,55,141,235,496,396,1,232,255,5,481,31,318,26,282,346,326,230,284,315,376,412,73,134,87,275,49,277,63,449,99,146,494,257,377,366,423,69,38,184,288,259,101,365,294,239,117,110,124,276,375,476,411,157,143,158,351,320,443,441,79,200,475,471,385,177,346,328,14,237,20,340,138,467,290,147,32,37,340,102,428,106,438,147,375,11,272,453,299,213,240,114,162,341,381,467,212,265,90,212,36,353,198,413,27,460,19,355,454,7,306,244,470,121,21,269,198,118,448,59,250,378,26,147,141,255,337,33,187,400,369,321,10,77,395,168,480,279,170,53,250,1,290,18,347,259,103,291,144,331,119,390,390,424,454,429,124,460,216,37,425,392,42,80,418,148,371,206,375,404,422,24,126,81,131,207,401,454,418,291,234,455,151,479,464,440,142,41,368,184,391,153,204,161,207,34,169,189,325,475,15,158,162,135,125,13,23,107,143,17,182,281,435,429,397,107,494,69,498,116,135,283,230,29,160,66,281,186,349,487,283,272,78,93,465,313,104,287,134,220,56,418,114,24,422,461,93,369,57,234,317,371,217,448,332,318,12,353,67,397,381,82,222,106,118,284,81,487,154,493,18,213,391,262,52,306,415,411,304,318,101,470,306,142,493,219,309,249,442,34,320,127,133,435,136,96,32,283,398,404,279,101,444,346,334,194,79,335,396,216,434,193,224,448,484,437,151,37,358,194,489,325,126,284,177,257,336,56,400,130,159,426,442,484,154,51,162,130,90,360,171,81,313,227,419,261,274,91,53,303,76,286,195,453,381,111,100,366,491,155,246}

7

Returns: 6475
{86,7,160,72,169,173,859,53,70,36,83,55,138,102,4,203,194,184,137,13,86,44,32,152,158,82,23,13,72,85,113,38,81,64,46,16,55,159,36,55,200,60,67,198,153,105,183,88,157,68,60,102,177,145,39,121,43,126,157,114,38,46,110,93,111,67,97,195,95,9,119,114,158,64,135,38,191,60,187,72,177,164,15,99,689,82,898,198,47,140,11,32,464,185,47,1,93,119,127,117,79,147,183,100,70,142,21,43,91,146,23,44,189,47,38,46,24,104,97,125,200,17,110,2,167,47,23,76,133,52,86,166,15,170,37,151,102,21,128,90,47,102,69,190,144,79,123,66,45,8,15,23,62,137,167,155,21,197,152,401,82,13,119,179,29,198,174,55,146,22,62,155,25,90,721,121,163,581,106,98,7,31,111,57,135,109,121,186,158,180,47,801,147,189,158,191,152,8,87,5,609,126,124,67,12,53,64,42,178,55,32,111,84,121,192,57,23,22,186,50,580,132,3,101,171,6,841,114,63,36,116,192,27,179,154,35,162,170,130,164,138,78,77,191,89,57,91,197,149,88,107,106,38,434,184,159,94,179,7,146,19,61,127,148,60,198,41,181,100,185,123,49,155,148,125,198,169,81,153,181,70,8,196,39,131,185,61,92,50,54,132,34,137,58,34,2,109,36,141,38}

{260,276,97,80,215,187,169,234,244,261,267,297,217,187,206,63,28,19,197,228,96,151,82,63,3,182,295,64,112,29,40,176,230,268,157,156,298,35,265,179,292,208,131,235,224,165,56,188,46,55,127,197,201,265,51,71,217,82,78,264,160,93,14,82,13,192,239,192,144,173,229,205,237,57,85,77,143,17,51,77,241,161,56,8,173,188,3,289,62,290,109,89,17,48,56,64,60,71,273,264,199,53,149,249,161,185,170,55,295,251,28,167,152,147,90,78,148,117,7,74,75,289,239,31,160,43,225,46,239,81,198,54,35,140,17,37,218,246,114,120,126,170,62,171,257,208,7,108,71,27,50,249,3,140,283,155,182,25,90,60,297,165,269,208,180,68,1,195,254,171,216,53,286,279,133,135,273,221,284,290,261,170,282,4,201,281,121,209,67,134,229,129,163,169,284,1,96,163,263,259,35,205,158,124,54,218,251,280,151,274,172,206,111,198,97,228,116,234,94,132,26,283,51,57,222,199,135,151,250,134,203,77,47,113,199,192,294,50,161,19,194,60,243,29,219,44,83,118,184,165,33,0,1,79,163,195,257,152,29,137,30,219,52,234,69,203,101,88,32,108,45,129,136,105,80,55,113,119,263,18,157,267,169,193,94,8,107,8,210,41,149,19,240,135,107,93,102,193,259,89,136,110,283,61,79,265,118,269,116,141,183,276,21,197,67,34,53,187,225,277,289,80,141,276,145,97,70,106,33,120,194,231,295,172,32,205,224,37,67,74,30,43,125,277,70,274,241,167,186,54,264,263,62,184,215,40,274,81,5,64,257,7,116,275,296,70,131,2,38,34,94,237,279,96,147,120,243,85,68,185,198,171,137,214,28,46,259,296,131,224,298,281,229,63,298,79,142,293,268,286,83,287,72,140,286,118,213,228,74,251,134,243,160,147,281,158,88,44,166,143,225,106,26,215,45,158,194,193,284,157,108,232,152,241}

{130,181,103,290,86,78,154,273,211,102,212,136,61,144,196,291,296,31,72,61,255,232,191,176,142,114,279,277,58,222,155,202,24,278,73,76,238,117,207,52,48,207,139,266,133,111,20,269,254,107,126,9,248,248,172,146,48,92,250,91,260,112,9,177,235,43,21,287,10,256,247,252,271,244,87,299,206,212,0,124,15,262,288,85,271,40,121,297,126,246,238,270,44,98,164,168,227,95,66,220,36,185,280,18,36,2,11,69,174,58,68,5,98,10,99,111,222,59,167,189,11,196,75,75,25,189,98,190,266,16,148,132,287,32,124,148,138,231,50,221,168,125,210,240,72,95,24,249,69,90,103,89,178,13,27,214,144,278,42,252,292,146,99,275,181,242,258,212,207,20,100,105,285,65,270,115,166,133,164,266,288,233,210,123,102,93,252,156,175,195,180,280,153,183,184,121,204,16,58,267,81,176,12,104,175,245,235,123,57,24,4,127,38,261,65,242,250,209,13,175,112,110,179,162,73,231,272,146,49,9,109,59,247,31,162,275,190,154,10,149,183,22,230,244,230,150,141,122,76,218,190,288,100,245,240,272,5,142,258,138,227,255,100,262,104,214,138,188,128,213,291,49,0,237,211,65,95,38,186,20,14,47,119,104,178,209,22,270,128,145,168,106,66,178,233,127,162,233,216,132,255,30,236,202,91,41,22,145,216,204,52,2,101,34,278,150,262,12,268,156,236,150,254,12,236,73,153,36,139,122,21,99,253,33,23,42,37,282,11,49,103,39,173,76,122,25,226,256,115,143,159,294,294,26,200,217,271,242,196,258,211,39,219,125,130,137,87,66,47,272,221,227,119,246,186,88,245,179,23,59,248,166,113,128,291,232,109,260,83,115,182,201,299,117,27,189,153,154,130,84,123,238,42,203,223,18,247,292,181,41,155,101,256,180,87,299,110,14,202,139,16,23,39,45,164,204,4,213,282,129,105,91,114,6}

7

Returns: 5662
{101,23,149,43,144,191,65,184,166,44,22,61,66,86,156,139,162,70,57,93,47,82,45,22,114,193,8,152,30,100,194,118,85,40,42,131,163,15,75,145,39,94,75,154,98,172,8,61,99,32,84,11,132,156,45,84,85,143,118,145,116,9,86,92,158,8,609,167,117,152,106,129,106,13,136,135,113,183,17,105,61,150,69,72,98,103,115,125,155,171,1,129,69,18,95,20,157,106,66,84,54,16,133,40,156,74,154,6,81,104,86,30,106,188,86,43,512,60,50,94,28,160,172,46,162,189,96,63,219,181,113,85,162,19,144,86,139,98,48,120,130,15,170,8,164,110,150,136,73,185,124,162,66,102,46,33,126,36,34,20,127,119,189,172,181,110,23,43,83,59,31,80,166,693,236,157,22,154,4,160,157,157,58,184,42,138,36,29,156,179,87,137,130,167,19,178,134,90,9,26,79,498,74,2,39,59,147,59,182,84,580,72,134,82,37,43,138,143,398,128,60,104,194,136,22,18,123,189,517,142,99,119,194,147,950,5,3,166,164,126,66,191,149,61,115,197,108,6,151,481,195,152,55,44,119,8,82,192,144,55,21,99,2,58,157,84,103,51,147,101,73,83,72,130,84,103,192,57,107,184,44,179,133,184,200,146,115,18,46,449,251,150,156,83,126,13,115,865,38,95,13,106,82,121,35,161,95,38,175,35,164,185,19,19,191,72,66,198,97,14,105,131,61,140,84,176,3,146,49,32,104,171,62,105,50,107,155,96,189,76,6,139,149,104,65,200,63,81,42,64,162,129,92,146,32,966,24,18,63,40,110,12,56,191,186,90,99,105,147,49,39,152,171,995,90,1,15,161,176,81,112,141,134,67,106,192,89,69,124,92,48,133,77,70,89,100,11,147,132,116}

{146,223,73,96,175,398,96,382,105,222,383,61,221,209,13,113,80,150,225,23,213,356,278,229,254,251,377,358,147,203,270,284,16,169,396,6,14,336,288,292,383,0,44,247,42,35,310,19,229,179,183,46,343,137,247,170,64,398,281,105,317,188,180,132,119,28,40,60,292,27,270,85,185,15,241,286,215,179,309,108,279,179,187,388,230,152,238,63,47,315,303,95,30,162,25,87,398,311,17,157,265,88,230,41,310,156,73,103,97,236,31,191,334,298,323,151,39,287,114,114,48,221,208,190,164,346,35,103,185,203,129,397,106,352,78,142,344,74,196,364,48,194,84,111,155,175,44,241,197,253,341,25,134,232,26,21,271,7,111,356,120,78,209,302,117,100,315,161,8,242,372,182,125,358,258,302,7,38,220,61,24,46,382,376,376,195,350,194,314,376,377,164,259,322,86,50,372,19,92,80,8,386,30,309,253,184,143,22,165,379,10,344,322,295,130,298,229,390,368,40,129,305,110,19,21,220,50,123,131,197,367,50,360,22,388,71,252,213,34,180,391,354,154,285,157,95,334,119,163,287,0,178,193,303,167,364,156,40,86,394,320,74,39,145,129,236,191,222,277,85,153,217,233,209,38,341,23,284,299,370,325,318,248,84,18,90,238,344,329,320,155,350,113,180,357,15,57,329,196,303,360,266,70,26,260,322,386,196,324,365,278,312,18,211,149,232,302,396,351,27,362,254,131,90,33,190,30,188,311,14,153,325,117,265,193,82,81,360,242,341,120,159,70,272,74,126,104,94,203,147,123,43,349,251,350,362,300,187,28,187,57,154,336,82,111,32,217,324,199,205,137,80,275,340,85,155,106,325,292,92,131,16,280,189,189,43,300,216,262,268,88,92,0,286,184,224,213,37,120,269,102,367,97,165,164,390,27,311,223,343,301,279,340,90,86,293,168,47,313,319,189,47,16,88,270,42,357,159,343,330,104,299,6,309,23,168,271,252,207,260,96,110,215,17,346,197,378,351,21,104,271,37,389,388,100,291,315,239,312,58,147,6,165,340,246,123,176,246,2,324,195,2,143,182,69,134,125,299,298,154,48,34,247,106,364,323,122,293,285,145,395,122,99,265,279,33,275,242,64,125,149,235,159,43,186,1,127,60,237,143,312,371,150,119,372,29,171,110,195,317,358,381,41,100,268,157,305,356,127,330,235,272,22,294,188,394,217,273,99,232,261,191,113,251,253,11,44,186,77,145,114,57,254,70,320,352,330,287,273,135,286,122,68,220,84,377,394,1,301,55,178,338,29,223,176,38,93,224}

{98,130,102,339,177,68,63,381,363,185,182,206,10,72,342,339,29,385,231,36,3,174,62,136,363,204,142,314,194,97,333,255,348,68,13,348,380,274,267,259,369,283,65,389,264,323,112,153,211,87,206,353,366,94,390,31,248,55,139,379,138,37,331,89,291,316,93,72,77,170,383,255,202,55,148,81,20,282,362,212,248,101,142,289,91,138,370,342,183,79,327,345,15,347,206,380,160,264,216,67,290,272,63,250,71,387,308,374,214,281,308,381,399,98,240,5,227,395,102,266,276,222,347,208,178,124,301,393,379,237,218,59,42,20,75,144,267,39,149,307,288,283,121,329,152,124,227,235,202,65,121,385,304,134,319,56,318,124,256,306,347,243,307,361,138,89,234,9,148,384,160,175,168,52,121,126,282,210,190,158,65,49,375,337,258,361,365,167,227,367,67,239,151,17,256,160,384,76,32,34,95,361,200,139,56,169,107,261,239,369,252,359,226,393,397,118,186,295,353,4,373,257,345,214,224,351,391,183,375,370,380,31,297,334,201,67,167,300,1,357,169,276,288,363,172,233,69,255,393,163,245,126,118,49,36,59,226,171,230,207,278,317,368,378,53,75,198,281,204,156,244,244,219,267,173,336,137,331,9,166,277,296,166,192,208,49,304,395,177,87,56,200,5,202,321,3,337,51,28,257,115,204,148,193,326,18,214,291,161,136,328,8,205,166,240,371,103,345,321,135,316,199,276,349,132,9,72,112,392,262,146,349,118,116,152,25,89,249,181,112,144,392,32,192,246,162,62,316,241,386,268,45,171,83,177,263,61,369,219,283,331,327,181,346,318,212,243,384,59,172,326,24,58,35,140,58,41,338,354,236,127,99,199,387,261,98,326,328,151,60,225,392,389,354,399,5,221,205,163,141,45,91,359,335,73,387,83,136,391,305,62,375,83,109,319,140,366,274,12,231,140,280,266,77,81,211,225,382,64,293,275,359,26,176,226,257,144,277,215,36,4,107,94,51,109,75,295,24,333,141,78,296,374,355,150,4,228,158,294,259,368,71,296,52,46,260,396,285,7,233,237,284,397,308,282,12,366,133,139,250,314,256,108,54,14,141,263,365,91,243,245,133,117,128,219,13,33,238,69,133,374,335,132,337,264,76,198,273,280,170,371,2,20,105,10,269,274,11,333,307,378,93,54,184,162,335,109,332,54,107,101,348,198,200,11,172,313,231,352,181,313,216,3,304,146,262,52,328,51,385,135,244,82,240,101,158,342,207,399,245,321,161,250,76,130,263,294,192,339,258,338,353,310,327,269,66,12,45}

7

Returns: 6236
{150,27,68,85,81,140,112,58,132,428,88,200,195,20,17,140,16,39,118,197,6,148,198,91,7,11,25,24,49,51,711,53,106,69,35,102,126,40,159,157,148,134,198,100,144,131,96,65,184,199,39,200,136,68,13,41,21,24,4,85,142,82,83,190,62,86,129,112,155,64,49,82,160,139,9,178,117,129,58,180,88,86,757,114,90,129,69,127,114,52,110,197,35,111,155,149,42,167,21,190,132,165,142,116,40,49,178,148,176,12,155,38,12,80,32,139,19,16,35,199,142,97,50,40,108,16,75,140,16,124,123,19,119,165,116,80,102,75,47,106,86,2,115,44,12,26,41,41,175,156,62,17,6,179,9,5,61,9,68,200,26,156,44,147,171,136,54,1,16,179,41,173,51,67,65,3,123,87,32,82,96,30,77,153,134,156,100,58,196,96,111,26,88,14,30,133,138,167,191,169,108,107,48,71,137,155,179,84,84,198,110,19,28,1,188,162,180,104,118,61,85,31,198,134,184,103,65,108,185,45,3,73,178,87,81,48,138,138,183,186,74,54,156,184,15,85,169,121,16,111,169,155,2,126,167,95,119,4,56,38,27,166,107,40,132,126,183,90,79,19,159,124,115,118,8,39,78,45,72,134,4,107,164,133,175,174,177,855,114,159,36,87,68,56,84,159,66,195,149,194,157,46,90,47,94,180,93,166,61,27,198,458,93,8,34,130,88,192,45,154,104,193,22,100,48,103,9,175,76,83,179,116,22,44,152,50,134,26,178,60,26,141,150,191,37,68,170,5,178,73,113,109,118,84,191,10,78,156,182,97,140,104,160,86,33,112,15,144,178,16,103,184,68,191,85,44,111,54,62,147,82,101,40,6,66,197,83,135,121,62,39,17,13,171,41,191,189,84,40,127,12,179,107,53,188,108,6,123,32,100,764,115,566,133,60,95,86,75,172,64,7,101,150,78,2,68,134,162,49,14,194,108,195,82,130,89,6,140,23,110,157,155,74,169,196,149,41,90,161,17,85,750,49,125,64,171,181,134,198,200,294,198,156,36,82,56,124,161,7,172,182,87,22,105,2,58,192,131,137,187,93,69,169,84,183,61,78,83,135,47,197,10,158,102,99,24,173,196,18,151,136,51,66,180,62,96,138,159,56,163,49,150,32,103,16,165,50,155,144,78,58,56,147,129,149,29,40,187,97,146,29,103,33,152,144,155,186,131,78,134,184,97,137,137,123,19,93,106,109,149,90,32,71,64,14,81,77,62,89,56,199,65,151,100,105,14,61,90,87,25,146,56,825,121,174,53,15,138,190,167,106,146,744,11,10,49,152,86,147,76,176,164,192,182,42,35,2,114,130,94}

{517,378,110,475,535,271,35,350,390,208,234,383,411,16,466,313,7,226,175,269,22,542,104,95,563,200,476,570,499,274,211,569,279,534,498,542,540,500,42,38,551,236,191,216,93,165,78,192,358,149,476,509,369,576,566,182,382,277,204,222,15,155,442,206,543,312,586,275,489,375,548,268,186,291,105,253,175,363,517,279,197,526,10,174,534,326,119,282,131,316,217,194,144,223,278,323,251,553,528,420,316,344,17,286,487,573,336,254,307,277,399,490,515,470,55,27,35,319,280,597,6,501,123,550,531,415,394,493,139,170,387,429,237,501,581,374,4,143,105,379,221,318,251,184,457,544,459,80,256,567,374,557,208,334,13,122,233,308,332,28,324,497,305,526,427,552,478,108,306,56,35,370,248,437,270,544,550,269,174,573,141,537,470,74,68,76,114,182,68,596,317,8,488,595,452,239,266,284,576,366,306,247,155,171,303,292,320,306,151,417,78,384,401,57,548,170,437,445,114,430,164,593,493,301,112,211,545,268,48,101,562,463,498,389,40,47,66,282,281,517,125,232,231,61,248,297,278,321,190,198,540,241,139,497,199,98,505,437,498,15,450,352,483,213,286,44,534,408,221,65,221,464,95,575,587,134,187,509,473,133,97,452,143,505,32,391,49,210,342,531,202,104,400,332,445,266,251,464,414,593,504,270,299,566,537,580,16,50,294,562,301,319,313,276,40,364,481,336,555,136,8,239,300,110,396,493,578,338,457,353,78,301,512,263,583,370,351,119,363,369,434,546,394,179,97,8,220,449,382,587,456,188,558,535,75,536,359,214,220,468,402,541,343,388,560,197,413,234,444,388,553,238,568,397,190,459,134,59,198,463,522,428,194,38,190,382,152,444,558,507,312,576,38,384,147,62,97,594,397,200,6,480,482,310,379,544,531,103,594,387,77,204,89,228,204,225,392,146,250,532,65,424,265,566,463,295,288,404,585,206,393,389,84,194,579,353,308,408,59,276,510,217,178,61,485,414,241,458,373,418,137,290,227,202,318,171,64,142,217,100,418,137,426,381,118,536,71,541,597,501,422,477,571,399,320,80,60,222,257,518,178,478,271,252,554,378,7,500,40,63,258,569,90,364,586,551,290,483,248,484,144,368,180,356,554,480,56,465,592,348,187,146,2,486,124,420,368,454,536,98,235,364,215,258,464,272,117,125,267,262,257,411,596,254,226,22,137,162,303,133,358,197,43,69,521,209,207,387,290,192,83,81,288,209,159,44,562,470,106,280,595,70,388,17,263,116,116,500,100,413,184,488,367,11,90,268,381,565,142,247,184,123,521,169,224,294,372,69,529,246,124,180,84,512,532,203,474,261,375,465,282,486,351,34,175,454,284,579,415,462,131,216,199,72,172,499,352,539,55,261,214,344,29,418,77,370,58,186,589,228,258,17,578,393,67,182,309,408,99,330,3,172,474,116,294,579,512,515,272,369,238,81,94,249,537,336,44,250,454,160,219,88,209,343,135,439,316,297,446,413,139,264,36,115,312,343,181,233,527,321,403,416,76,231,192,565,465,508,368,153,225,362,15,300,160,546,553,435,103,313,163,146,340,403,100,142,128,94,31,259,72,289,178,442,400,107,319,130,235,367,394,291,596,510,20,478,592,333,11,318,120,588,254,246,66,103,47,1,397,314,51,528,495,46,263,545,206,153,550,85,555,504,323,492,16,165,74,446,539,226,90,526,180,259,317,538,558,71,12,147,524,421,231,308,289,593,14,507,10,481,134,547,444,366,513,578,423,259,143,289,384,280,403,253,332,216,265,348,547,469,567,581,26,186,513,599,156,428,391,55,83,323,220,299,147,169,115,299,345,11,450,60,275,160,161,547,538,117,89,193,521,171,279,514,121,264,99,428,560,459,163,476,80,277,331,0,539,421,239,107,367,95,589,361,518,153,213,424,233,471,156,425,555,253,187,270,548,324,442,314,389,509,162,271,381,202,352,219,324,481,457,535,164,89,300}

{262,53,345,185,121,307,64,505,322,492,87,598,159,406,84,540,138,73,334,598,423,406,441,556,574,284,331,189,56,466,158,385,215,598,225,431,529,565,32,496,210,70,557,429,426,520,371,361,574,339,208,385,538,360,250,260,218,214,92,393,234,390,133,469,111,377,73,61,113,479,185,433,127,467,435,96,354,120,396,523,335,314,292,230,283,76,140,82,599,438,140,327,185,385,157,267,359,443,431,355,7,528,395,13,423,461,131,237,338,267,283,149,188,587,3,245,159,594,597,136,529,51,346,524,167,590,272,12,458,411,285,474,92,148,129,416,87,358,165,491,261,373,212,145,421,57,6,589,491,434,588,520,514,376,283,33,518,164,112,366,445,436,51,230,257,406,64,527,245,404,59,357,417,482,275,54,256,448,495,18,494,52,446,240,118,511,386,390,338,400,91,427,304,584,41,121,577,108,34,173,571,210,293,443,484,148,356,2,37,73,486,34,419,101,126,333,502,285,247,218,398,383,203,554,25,588,227,377,242,243,172,460,432,344,409,106,32,266,152,109,363,79,438,409,479,274,166,65,42,13,195,67,154,349,173,561,328,19,574,252,298,199,240,122,349,293,228,126,43,360,1,416,273,130,158,110,167,371,132,507,410,33,487,176,298,3,201,506,455,575,326,69,325,33,350,407,395,115,485,177,205,433,207,425,326,96,571,281,523,244,362,577,162,355,114,473,549,490,353,349,24,438,354,174,405,310,447,479,196,449,123,375,96,249,440,315,472,288,405,236,129,341,361,492,412,198,583,407,176,128,386,223,232,181,67,12,563,345,365,26,260,303,102,564,502,5,132,494,19,348,337,75,337,191,145,83,356,530,24,519,229,88,287,4,211,455,113,575,541,329,399,87,232,549,467,335,74,461,49,296,346,79,111,93,482,432,515,93,273,472,20,527,108,466,52,0,201,244,396,404,39,510,317,112,569,31,552,426,334,149,240,311,255,269,556,448,50,391,132,330,583,467,440,36,580,584,347,21,167,556,377,30,341,155,471,118,45,304,246,31,477,309,453,230,392,276,331,106,360,401,63,150,21,468,561,484,530,543,439,243,516,448,20,102,229,431,286,545,291,219,85,469,480,148,342,157,14,243,307,330,53,487,46,117,350,62,380,378,557,374,573,508,441,496,315,365,452,552,60,591,570,45,138,302,109,295,102,309,398,506,196,425,224,339,23,107,135,564,145,58,135,473,298,560,585,109,346,196,582,302,458,347,577,417,392,514,242,511,433,401,50,491,47,371,23,341,252,581,161,398,379,325,154,213,203,488,436,502,29,18,48,427,429,285,337,193,322,516,304,523,189,201,455,45,475,376,195,124,511,163,572,43,409,242,490,127,205,532,98,166,255,592,99,193,335,88,450,453,278,158,229,141,176,71,296,179,320,79,590,567,322,183,497,407,386,1,328,170,169,29,120,347,129,489,128,72,18,359,475,49,585,424,456,191,63,362,262,430,46,333,92,546,183,302,223,551,580,215,75,41,77,477,325,28,339,494,39,274,173,305,351,126,86,238,0,591,461,559,422,104,177,506,315,297,495,91,329,86,25,591,205,296,373,436,380,42,293,181,533,432,207,321,383,599,227,218,462,151,273,586,68,141,66,244,533,125,28,439,157,4,27,212,27,236,212,380,503,483,584,122,419,292,435,5,183,260,177,70,241,305,415,472,48,533,328,54,151,357,136,468,189,119,52,224,419,357,522,222,154,559,19,25,516,295,595,21,422,485,354,414,430,24,281,440,26,513,524,342,22,340,161,81,23,39,86,522,166,36,372,395,365,85,549,542,255,41,101,504,530,188,568,376,559,9,329,179,405,451,434,520,570,265,449,168,249,447,5,140,568,54,14,235,10,53,447,420,150,508,111,543,113,561,372,105,503,256,195,443,130,340,200,564,168,37,496,62,310,264,499,441,91,138,563,237,156,37,58,94,355,245,525,471,152,453,590,127,489,503,144,462,57,2,150,456,168}

7

Returns: 5997
{184,154,132,52,170,69,52,115,107,65,131,37,159,192,1,116,21,67,30,97,57,195,36,98,167,197,52,110,26,29,143,120,6,190,160,169,11,45,26,198,153,68,140,87,71,109,93,139,24,4,28,157,91,59,182,44,5,39,178,27,5,122,136,135,105,24,113,167,184,179,63,55,137,1,158,98,91,3,73,154,188,106,158,88,149,135,117,186,88,18,114,76,135,9,118,141,142,184,12,171,192,90,114,112,49,54,38,134,20,132,163,51,44,161,106,193,84,79,81,49,35,65,27,113,57,162,177,45,180,671,60,15,79,76,123,14,171,73,195,83,43,142,153,128,159,53,159,35,144,68,110,174,154,81,115,127,191,140,114,56,133,138,42,49,168,147,47,94,14,62,160,12,53,176,161,195,172,171,27,123,70,126,36,7,160,59,18,57,186,167,157,31,51,95,130,169,10,34,182,90,56,144,48,199,50,90,7,111,86,101,169,44,97,100,179,21,172,145,154,109,163,84,104,39,125,149,93,42,39,62,179,147,101,154,55,69,148,185,162,6,167,187,468,109,89,138,123,115,86,44,158,81,195,169,155,155,181,192,146,158,57,128,87,115,164,151,45,28,115,53,28,35,172,103,20,158,108,898,23,115,60,140,52,150,74,83,81,112,171,111,95,5,77,117,35,140,58,77,160,105,142,35,73,186,144,111,64,63,171,187,21,106,25,136,111,151,99,117,62,87,5,38,118,189,128,159,5,193,2,81,169,96,174,93,176,191,117,105,105,159,167,152,165,45,126,7,144,83,2,113,159,116,37,196,98,119,49,161,116,154,134,110,125,52,138,1,95,182,155,80,22,83,153,46,159,10,11,68,173,156,185,4,142,31,42,1,185,168,49,97,137,122,43,12,62,196,6,109,155,171,150,54,78,30,14,64,48,133,174,131,51,6,18,155,195,59,16,115,114,197,113,107,75,49,18,65,188,150,174,107,80,52,148,35,185,111,113,192,143,139,169,66,91,104,6,83,25,75,114,108,104,16,89,60,134,72,184,79,174,108,153,47,136,154,199,144,118,79,169,115,88,169,20,100,112,37,138,20,111,135,145,197,31,169,8,192,197,23,138,136,20,50,84,30,36,136,10,193,13,198,59,25,146,196,135,184,113,189,175,133,168,195,98,32,137,119,169,79,9,121,147,143,156,17,175,145,129,93,101,90,35,83,44,85,182,63,1,172,20,181,83,169,90,153,53,111,132,25,96,6,117,26,33,156,159,67,154,172,106,7,60,25,111,171,8,67,20,187,125,163,187,10,17,74,145,64,105,147,135,177,2,126,143,140,48,80,2,73,59,119,22,157,50,168,71,59,143,86,116,48}

{49,174,286,389,293,266,246,572,137,41,179,54,370,413,589,539,398,479,23,386,12,54,378,187,176,165,503,95,240,400,160,525,295,59,538,73,415,57,131,193,424,186,139,410,22,527,416,380,14,281,89,524,396,403,201,473,395,42,112,197,584,517,143,171,28,377,501,201,262,192,447,66,456,185,311,208,346,89,375,262,360,272,8,443,25,554,53,474,288,359,46,577,52,545,372,299,323,382,75,489,191,144,21,408,426,591,517,408,416,554,180,560,496,50,367,328,479,373,376,528,530,448,6,36,17,228,164,152,45,490,443,272,260,124,200,4,396,243,209,51,183,437,268,378,454,85,131,339,202,575,596,27,546,397,459,32,315,512,558,455,302,245,529,311,397,446,536,10,190,165,324,380,363,153,499,166,519,234,376,4,216,108,161,451,334,284,87,150,377,230,249,44,521,580,68,71,283,165,154,576,58,460,188,75,244,480,78,137,539,587,361,263,146,554,372,153,424,484,581,491,148,418,169,337,112,319,117,373,525,563,234,180,463,80,468,139,66,345,489,143,415,216,197,99,293,586,391,133,496,25,375,42,448,105,349,17,599,12,508,295,285,353,572,475,99,310,428,536,164,525,460,159,310,22,578,265,263,590,599,152,531,100,458,571,560,168,137,299,538,564,37,217,7,501,578,207,529,466,30,191,444,458,548,378,222,437,146,334,57,327,292,493,299,193,246,370,40,265,404,331,386,110,466,595,287,515,200,585,592,527,369,153,434,312,284,256,57,159,76,300,33,599,266,132,171,452,55,169,415,290,543,481,100,306,220,83,500,404,545,132,588,238,0,302,304,112,428,560,278,217,588,276,351,140,86,175,56,33,40,196,88,515,67,348,6,190,472,318,398,1,333,172,312,203,413,306,532,276,203,325,265,257,573,204,530,416,404,350,330,534,50,563,281,162,474,8,237,187,515,519,353,412,461,245,280,452,478,191,207,251,89,53,343,156,308,24,173,520,286,461,127,36,174,229,534,108,303,257,141,478,465,259,371,315,491,557,512,509,86,368,257,428,99,110,453,409,487,309,88,109,437,345,479,536,389,544,70,128,44,551,96,597,549,1,144,81,529,368,24,235,454,327,66,317,446,426,225,185,397,134,164,120,456,80,317,347,592,467,565,252,350,158,477,105,501,509,353,394,556,374,371,73,564,303,395,0,244,1,587,555,58,456,20,420,374,173,161,433,533,268,5,114,372,170,217,114,556,273,307,122,333,305,504,171,452,512,482,531,81,158,19,596,98,241,445,500,155,169,149,16,552,18,260,6,348,245,160,95,276,29,473,414,340,581,49,253,140,597,251,393,8,526,128,355,380,362,386,445,503,158,121,359,335,123,124,579,548,107,528,23,482,173,491,340,581,56,14,377,597,26,334,521,26,480,159,568,268,467,228,85,228,134,454,69,367,7,346,83,451,398,264,364,177,292,546,578,117,200,469,368,44,326,319,528,595,293,537,576,222,400,188,186,520,506,444,534,359,71,258,256,373,75,70,31,352,32,474,219,532,187,136,521,592,209,499,185,292,321,273,234,212,414,421,538,370,127,394,463,216,552,288,333,98,278,230,48,509,545,124,551,341,261,64,267,128,307,458,270,316,504,283,383,289,258,222,241,352,424,526,467,533,176,28,318,269,418,548,113,43,352,206,304,390,53,269,59,168,537,369,225,586,543,88,156,33,588,345,472,329,2,418,316,356,90,399,97,96,48,393,190,21,312,5,488,586,331,201,583,585,243,273,133,343,65,107,413,50,395,303,197,151,263,396,435,226,429,225,400,229,148,218,462,42,49,283,241,580,246,549,14,594,18,304,178,98,498,332,136,360,262,65,73,469,502,156,107,255,431,178,504,13,175,162,40,429,32,488,489,507,37,310,179,143,29,328,253,63,490,341,86,58,132,343,444,587,244,585,371,393,307,394,229,256,251,526,390,337,405,341,470,134,383,91,319,552,426,175,16,20,412,17,419,206,471,120,431,532,551,453,97,38,464,506,140,335,155}

{4,392,141,139,381,72,567,567,93,182,598,591,594,559,198,221,135,209,238,407,568,84,141,119,301,579,329,39,69,239,420,322,237,446,170,15,492,36,24,183,338,79,457,541,267,7,59,133,10,210,255,19,289,111,324,311,579,475,441,482,573,568,248,362,476,351,470,269,179,357,94,77,142,67,524,52,430,323,550,117,399,121,423,199,270,277,250,172,226,590,2,321,198,559,31,321,118,561,507,272,37,510,279,104,553,34,11,518,129,195,313,498,519,457,427,441,176,62,232,20,438,125,131,183,120,339,465,92,82,362,434,284,365,259,565,326,202,480,476,62,542,541,202,235,308,52,518,205,253,38,338,247,231,72,250,520,486,342,101,248,494,30,481,472,9,410,481,298,391,346,339,450,287,113,211,291,289,21,249,252,403,355,231,410,511,184,77,406,238,167,356,453,286,575,381,594,463,469,365,115,593,421,582,414,46,430,577,249,296,493,354,154,503,240,39,320,412,104,82,473,102,330,440,227,93,513,119,218,349,205,344,64,3,425,118,113,5,498,543,300,555,68,87,178,553,361,74,61,495,391,220,314,84,182,425,3,172,561,569,116,499,439,332,214,483,366,451,549,123,524,447,361,177,181,196,360,330,130,13,302,449,92,130,167,475,9,511,383,582,429,364,174,239,510,496,287,318,375,542,442,122,23,235,513,544,149,470,103,558,385,162,79,237,547,337,275,142,540,382,539,189,433,45,150,436,160,155,379,236,505,569,83,135,405,417,77,109,294,476,421,60,51,13,471,26,184,485,70,115,94,440,449,523,583,455,223,227,194,595,101,563,462,282,212,492,60,459,207,442,388,477,55,422,540,460,358,434,566,369,314,477,488,571,224,100,541,455,598,205,285,591,254,466,181,314,384,511,427,365,161,122,39,282,381,213,242,387,215,566,270,278,275,22,223,233,218,104,546,30,291,486,471,212,275,309,79,63,25,56,544,535,211,85,295,95,457,342,213,90,27,417,494,301,297,562,147,357,68,305,517,93,184,389,423,15,506,530,465,495,74,550,54,376,12,204,461,236,138,382,407,71,61,214,392,450,582,351,215,593,354,198,285,233,211,478,332,136,232,106,306,61,110,0,231,148,485,181,28,557,384,459,555,358,366,109,280,48,569,145,417,486,540,103,514,267,291,580,114,64,35,422,9,320,390,264,102,336,47,94,96,46,523,484,78,432,193,439,547,144,485,542,336,62,487,527,274,584,146,508,258,335,356,223,266,575,432,523,533,432,405,214,494,138,430,342,402,204,464,163,116,41,323,87,103,130,583,350,294,119,493,224,537,255,151,254,111,357,464,29,170,16,43,67,562,210,497,348,279,118,157,106,367,565,296,550,189,290,363,72,34,316,516,445,186,384,324,105,151,63,188,522,55,347,422,154,419,163,403,411,301,535,436,328,387,497,522,135,505,331,584,74,240,106,180,298,69,385,157,468,274,442,157,322,589,82,514,138,411,462,213,203,294,125,239,2,177,388,425,514,329,309,288,167,559,18,230,31,385,47,145,51,232,182,298,590,411,15,401,355,441,125,363,535,78,243,280,264,92,392,10,326,221,41,505,81,116,97,147,435,449,210,300,572,574,60,340,420,325,261,573,344,576,468,347,344,558,577,423,142,271,322,387,254,247,126,336,43,194,305,490,401,566,407,379,189,507,484,90,220,38,399,518,325,315,495,126,208,199,502,547,3,313,297,438,408,206,194,127,152,570,271,366,406,338,574,516,91,516,27,147,508,562,274,596,589,502,406,91,388,522,166,513,409,227,431,121,192,448,101,570,297,45,557,281,598,409,35,65,567,500,564,296,510,364,327,259,11,282,168,317,439,354,123,150,11,570,271,435,349,76,483,219,374,419,111,252,47,556,108,208,553,574,290,260,483,436,593,487,84,76,196,102,320,443,358,450,145,279,115,19,219,166,433,192,427,438,308,126,261,571,149,215,379,248,531,224,80,402,163,199,313,247,440,236,492,250,221,233,447,561,497,226,34,35,402,401}

7

Returns: 3763
{142,179,40,56,20,40,172,52,61,198,132,146,94,129,118,82,42,52,75,118,35,92,72,70,68,141,153,170,59,191,8,30,113,155,155,36,15,64,126,23,14,82,89,94,60,128,16,143,195,85,108,96,61,44,34,8,114,131,179,60,81,69,102,165,61,78,25,41,183,176,62,29,11,18,164,5,181,148,15,128,123,3,287,142,146,68,30,12,138,131,110,155,123,117,17,88,143,16,71,30,197,150,96,128,152,7,128,62,115,147,121,91,19,59,170,73,94,102,158,46,63,19,158,179,139,112,149,182,67,67,41,160,154,46,22,63,146,191,42,19,122,153,69,93,178,67,115,191,144,148,137,87,199,30,186,38,96,70,78,86,134,32,42,118,127,84,169,57,17,73,200,110,118,34,28,150,132,35,75,101,93,200,44,148,177,97,100,196,125,45,46,75,9,90,152,76,198,12,165,19,169,158,78,194,43,21,104,194,158,92,73,30,199,83,44,185,40,161,114,156,169,85,26,108,153,199,76,173,32,170,182,83,75,195,184,90,180,24,146,132,20,40,193,69,178,182,68,147,156,65,76,86,182,166,141,71,142,652,191,77,2,180,53,151,129,34,165,126,155,109,28,124,72,20,60,188,197,152,44,81,71,157,69,50,173,109,145,88,179,102,163,104,134,80,99,87,76,160,42,147,166,918,36,59,50,152,59,46,65,73,98,175,166,113,157,60,24,127,140,33,194,25,755,42,199,75,188,91,12,17,105,140,112,119,156,39,200,190,46,65,120,92,22,178,163,85,8,17,156,166,73,96,58,102,198,169,27,116,137,18,12,127,99,149,77,121,33,80,109,189,168,23,79,32,182,65,143,103,196,88,8,91,116,131,115,82,144,19,169,4,170,67,105,102,127,133,79,198,196,82,8,67,173,51,192,114,22,31,59,101,3,38,66,120,188,46,193,99,33,76,43,163,152,189,71,24,86,159,134,129,94,84,27,137,57,180,64,82,161,13,29,164,32,9,183,159,149,169,128,2,181,174,49,9,60,154,29,169,8,118,54,164,161,134,133,96,55,122,37,44,20,176,177,95,113,39,133,44,117,97,197,5,178,58,118,82,8,160,140,6,124,12,89,91,166,105,76,107,43,3,140,9,193,12,129,164,15,172,10,20,73,144,182,104,51,114,77,159,163,107,67,161,121,73,79,49,135,31,188,40,135,101,184,29,143,54,103,147,161,35,3,175,76,36,146,577,34,113,45,107,152,156,83,46,88,25,142,91,43,172,103,193,197,23,56,33,163,100,19,168,149,4,164,143,35,169,35,44,149,166,169,103,41,46,150,139,159,200,164,135,49,20,175,172,177,155,121,73,25,178,116,134,109,70,148,40,53,149,170,110,166,172,130,73,93,88,107,133,72,114,37,7,200,130,184,105,10,5,106,96,78,147,21,86,165,507,174,21,99,112,32,197,99,93,38,44,121,126,146,179,127,111,68,155,45,122,76,199,5,32,41,164,146,19,188,114,173,195,50,57,189,151,15,130,165,114,85,70,106,51,17,70,117,192,40,1,104,14,33,128,16,82,61,29,86,126,145,174,70,18,69,152,112,149,47,116,97,120,199,49,2,59,171,25,152,170,63,149,20,126,25,84,57,22,58,129,66,95,37,130,200,43,17,3,171,221,128,63,160,59,65,33,94,115,102,137,159,87,39,92,186,154,158,153,136,47,186,149,4,182,166,81,40,11,187,20,149,40,110,6,25,19,102,28,143,89,16}

{591,260,377,266,742,397,652,113,254,689,720,30,280,747,406,562,142,178,723,352,18,316,173,423,294,542,682,744,650,574,695,92,86,690,722,273,532,374,254,544,653,294,377,600,23,665,769,435,529,673,261,72,332,33,543,614,258,22,234,548,26,185,740,122,95,541,723,743,641,741,711,430,147,371,512,386,603,171,731,486,339,334,281,329,311,70,113,385,576,647,530,483,419,749,259,155,589,737,259,551,489,662,560,332,235,183,179,672,541,243,566,418,571,528,294,704,391,182,577,634,122,381,404,487,174,274,673,679,176,440,361,430,289,400,220,9,678,120,304,462,733,771,619,592,93,586,168,274,333,159,166,91,288,611,272,191,627,765,129,646,775,358,534,284,655,351,773,28,520,239,124,264,471,349,199,375,664,290,659,594,29,281,314,154,542,108,261,401,707,584,208,476,71,719,544,575,299,754,552,320,689,289,401,155,441,497,527,254,513,759,211,68,671,146,722,3,569,91,622,479,699,445,758,763,612,564,268,445,439,71,77,760,414,572,264,717,654,627,669,578,375,523,662,413,611,649,132,438,325,636,75,115,639,600,27,776,622,636,329,167,334,643,324,67,422,725,106,121,4,583,494,313,299,24,249,52,72,69,756,709,142,595,282,431,66,550,690,748,111,698,459,256,352,595,31,673,307,236,124,384,532,754,609,747,311,520,534,532,637,706,755,552,561,748,120,522,260,127,487,603,229,581,688,721,381,518,563,513,461,11,538,174,690,342,182,53,80,89,766,717,747,60,655,510,116,648,501,91,183,458,318,2,734,22,657,600,521,768,391,123,496,440,497,278,218,636,371,285,646,620,18,672,657,94,273,250,157,13,542,633,339,543,676,585,688,633,348,439,681,699,400,166,298,499,430,120,384,584,497,298,650,390,92,284,80,279,610,60,683,233,424,320,263,395,385,88,604,17,66,731,255,333,614,553,47,733,740,284,316,706,447,478,119,317,464,308,219,108,312,423,562,111,575,346,228,383,45,181,173,425,96,52,243,484,632,17,654,147,606,198,7,590,381,17,105,42,29,211,401,75,188,606,518,652,467,460,30,86,689,67,711,207,502,326,697,659,281,73,772,589,374,370,237,131,213,270,267,490,178,746,130,603,591,24,100,558,73,118,547,494,283,695,263,198,304,133,370,740,538,693,425,59,502,404,12,688,356,568,249,14,7,124,455,653,387,67,626,461,648,543,218,498,179,652,728,289,745,268,69,676,437,97,429,373,697,469,340,595,1,338,212,260,570,338,235,715,541,589,561,501,604,335,637,523,717,122,749,389,414,564,484,23,720,408,300,303,59,75,765,90,596,686,548,304,507,45,610,555,310,704,151,237,370,657,342,528,725,758,377,293,492,132,259,766,774,769,611,343,319,647,180,213,585,160,372,487,86,650,12,204,443,101,713,419,753,649,596,599,184,280,292,99,240,627,110,88,169,180,697,623,80,8,421,421,105,424,554,538,495,364,633,407,237,373,159,76,490,345,147,511,13,285,748,386,87,696,187,258,431,402,489,462,105,509,763,99,175,625,146,653,183,663,406,251,525,643,68,292,149,571,47,169,333,130,389,29,59,770,724,154,439,459,593,334,320,492,402,725,85,419,358,389,443,559,303,121,555,765,21,287,460,219,8,475,585,308,437,261,493,316,646,426,63,197,21,498,135,323,311,776,258,523,245,361,295,342,654,349,174,764,90,286,72,214,5,323,704,722,521,251,138,306,298,426,182,155,400,278,575,297,309,762,167,596,535,81,677,167,696,572,184,23,134,84,4,51,339,11,64,440,296,705,150,623,396,499,527,133,753,614,243,283,502,123,606,744,352,14,757,110,699,371,234,583,758,667,764,772,583,62,299,115,51,494,733,626,165,447,321,698,137,10,57,683,264,111,573,138,116,332,564,641,647,143,99,746,475,402,282,3,665,645,572,411,441,702,21,762,479,469,219,310,667,626,180,460,218,552,3,574,81,274,150,445,171,100,199,354}

{231,184,426,41,287,61,347,738,247,548,152,309,329,774,604,420,74,26,200,768,516,85,466,297,135,743,313,599,775,166,691,563,475,337,631,446,477,670,399,671,737,376,573,276,488,457,492,516,539,761,149,558,383,192,366,268,616,221,222,579,344,498,0,537,79,610,536,675,629,49,295,581,682,376,631,87,238,159,629,625,454,638,404,511,521,481,456,727,37,515,363,272,161,63,410,700,450,262,609,188,620,53,624,680,569,38,380,169,629,705,83,242,309,64,217,172,715,257,366,5,374,211,168,544,518,530,266,726,676,635,271,665,465,612,83,534,760,340,403,730,509,598,40,208,590,364,463,444,303,582,434,522,476,203,482,773,302,686,242,331,417,54,314,200,188,411,44,513,602,551,143,432,325,148,83,290,141,48,114,245,161,326,16,306,749,519,156,177,47,286,238,739,450,330,732,545,6,337,360,220,97,658,35,8,36,743,709,97,141,668,677,56,256,422,668,335,558,409,78,726,326,517,6,407,546,207,330,251,628,19,35,376,752,32,58,216,756,524,539,392,641,272,750,95,128,202,640,156,244,624,714,578,255,354,41,590,684,640,328,480,634,547,241,459,446,277,328,529,624,66,467,621,10,750,106,724,533,444,68,277,71,64,565,397,485,308,135,648,345,148,231,201,302,742,136,209,732,745,367,618,125,436,205,297,701,246,144,479,369,378,623,482,472,362,700,644,109,315,718,744,137,65,378,582,567,707,701,240,230,214,736,395,410,36,301,417,283,38,462,413,267,14,230,359,658,457,136,466,738,533,403,163,349,367,245,666,736,369,2,415,78,269,524,26,212,411,178,503,755,684,239,621,114,474,470,444,700,456,709,92,602,726,223,41,104,703,723,324,388,273,189,16,415,148,672,406,225,312,456,582,681,465,1,244,95,506,511,409,318,210,435,480,580,656,139,515,181,325,470,516,369,137,126,586,536,151,461,107,664,157,57,416,566,448,448,728,433,468,269,379,526,228,735,379,573,644,708,179,669,200,231,442,708,539,209,391,58,732,217,279,227,442,277,276,592,405,482,553,392,98,222,628,266,618,634,464,22,215,235,346,61,19,660,318,321,315,420,399,435,315,738,60,409,392,649,687,554,527,360,506,557,579,31,87,718,61,658,531,405,617,5,565,691,612,9,458,168,20,580,236,706,157,366,506,25,488,607,696,436,398,446,128,113,682,525,644,223,287,341,477,101,395,291,674,302,7,718,553,480,488,609,454,336,102,241,761,526,132,433,84,477,772,452,767,642,55,622,328,393,499,112,58,94,571,327,484,546,711,452,271,707,130,35,367,405,175,355,632,24,223,65,255,467,199,220,98,380,6,142,46,598,420,250,774,112,62,591,324,422,131,144,417,177,201,363,496,373,39,607,453,368,139,151,232,382,244,530,535,331,447,755,556,265,144,88,687,680,158,496,165,295,656,330,638,694,378,453,403,715,359,263,221,410,762,770,615,139,520,286,448,212,222,593,350,694,449,775,216,759,415,508,681,201,271,248,533,40,42,464,620,605,687,50,360,109,344,474,240,293,38,319,175,361,282,32,661,39,136,504,154,363,165,679,368,399,57,125,164,427,202,759,741,189,343,540,418,31,691,50,241,729,170,773,471,104,524,457,230,384,285,566,427,357,203,344,557,152,160,556,535,736,683,703,557,221,242,659,565,253,531,452,110,106,599,202,756,639,570,421,569,613,708,347,269,39,131,353,640,189,693,73,549,720,312,322,276,474,386,675,116,680,16,158,458,141,228,531,584,768,767,525,383,408,216,670,465,664,63,177,82,313,519,529,380,770,104,669,150,81,323,149,190,2,436,195,450,728,331,437,161,574,9,721,761,44,158,570,114,250,394,453,675,78,79,160,42,317,413,0,209,674,293,438,594,54,123,607,236,398,193,425,546,32,49,36,731,536,256,239,642,79,213,385,365,767,134,742,208,40,746,625,76,418,522,442,227,345,587,434,347,18,485,705,128,451,769,44,56}

7

Returns: 4423
{79,93,64,27,153,185,133,105,169,13,67,186,18,48,152,56,45,127,167,10,71,14,102,120,179,36,3,165,66,128,20,70,141,19,93,91,53,79,11,115,60,95,173,69,44,197,154,179,151,155,8,108,11,10,49,16,116,152,120,23,189,31,60,151,136,59,96,194,184,102,118,48,139,1,39,178,163,186,36,151,175,30,179,86,167,7,36,13,120,161,23,26,142,53,42,46,131,2,164,198,134,28,48,69,191,53,143,86,156,62,625,110,145,187,53,25,159,29,146,49,3,196,18,40,72,167,166,72,35,83,195,95,112,99,55,2,130,119,17,172,64,194,33,144,167,1,76,93,187,59,42,132,124,169,104,17,124,35,79,98,133,52,189,79,197,35,154,171,183,142,194,129,12,30,44,138,81,59,112,167,100,162,62,176,182,22,51,176,9,173,161,70,118,168,8,172,7,8,139,68,64,101,78,67,37,117,51,166,169,49,55,117,195,172,175,20,73,82,121,198,191,7,18,74,199,147,178,10,115,33,2,68,30,106,17,172,118,101,17,175,140,123,4,28,94,887,70,109,83,125,663,21,24,123,154,137,967,87,174,137,171,172,107,50,136,128,51,17,26,50,145,73,138,172,14,73,106,189,32,33,52,12,56,158,138,12,26,59,2,26,144,28,80,126,529,124,133,132,26,34,98,196,142,83,170,136,149,196,46,197,45,90,175,95,193,168,3,58,123,45,178,190,69,139,148,71,176,125,16,64,108,38,144,142,3,156,17,8,26,58,21,196,146,97,56,32,101,117,6,147,51,90,14,147,32,190,187,94,13,121,174,169,106,90,72,9,174,160,94,40,191,133,88,135,123,138,94,197,183,118,142,77,5,40,110,94,108,42,71,103,70,94,199,101,55,47,4,106,3,108,191,33,167,33,195,116,70,34,170,186,180,8,128,59,41,102,28,169,112,65,73,119,139,38,57,132,188,39,46,167,110,66,111,166,29,41,146,111,172,124,55,167,54,151,141,109,138,43,196,170,84,14,77,79,176,97,189,5,63,69,109,44,38,160,187,133,131,35,115,78,11,135,66,129,127,15,166,196,68,135,148,62,90,115,185,147,159,130,193,98,21,25,47,1,170,4,109,120,145,107,90,123,104,157,187,86,167,178,59,172,111,70,181,170,6,189,200,174,52,123,170,40,18,168,70,190,104,94,13,142,30,24,110,9,28,30,117,141,122,150,14,112,106,118,163,157,32,104,104,168,78,106,93,7,111,83,144,158,183,55,145,152,36,138,182,125,164,193,175,124,187,145,36,22,188,189,139,105,13,81,101,24,127,75,108,93,109,56,97,190,98,8,181,196,85,50,41,184,149,101,134,95,98,169,121,98,176,129,40,184,168,187,182,25,49,41,149,117,155,80,151,4,73,148,175,74,7,139,75,138,146,132,63,6,18,50,48,2,74,93,95,18,39,113,71,33,114,133,62,135,56,124,5,52,127,16,81,93,67,54,188,155,39,87,186,62,186,134,37,186,44,41,19,92,98,15,4,28,62,9,170,160,43,94,18,193,181,190,41,61,192,35,161,74,153,111,21,100,132,87,156,176,68,200,93,108,48,135,77,106,186,176,33,156,155,97,88,137,132,43,194,78,13,29,94,107,11,168,164,193,194,173,84,37,2,198,80,62,6,4,73,361,7,39,49,66,161,45,108,160,171,71,12,166,159,54,20,148,99,32,180,30,97,65,119,64,180,173,39,170,174,194,35,155,121,99,155}

{72,554,515,379,511,229,367,461,421,653,479,410,81,99,336,501,574,4,405,89,349,217,428,168,524,285,73,398,465,632,583,229,216,365,156,704,692,660,47,6,459,739,66,220,362,120,387,352,581,706,725,611,664,620,346,412,454,415,772,701,355,697,716,717,559,376,483,103,290,359,227,391,335,342,511,338,447,746,636,618,545,611,21,768,372,190,625,736,770,723,134,416,529,308,253,749,709,534,265,622,489,253,525,436,389,668,733,121,455,330,422,172,765,481,81,591,687,183,764,265,38,157,300,509,562,610,580,220,184,708,497,352,187,299,217,632,529,698,105,51,714,47,253,656,750,754,146,579,115,326,647,601,427,674,102,66,248,621,414,694,765,207,282,305,653,39,16,446,185,476,374,535,46,769,25,605,477,463,612,248,702,213,79,554,100,687,353,410,161,403,76,201,91,291,118,147,63,393,62,414,578,144,21,293,320,233,52,116,227,182,97,343,683,351,288,194,107,663,146,168,194,702,18,437,326,369,640,586,362,560,482,694,146,54,290,717,518,318,676,266,611,124,489,299,416,246,702,548,479,203,499,625,242,213,523,688,169,714,444,563,259,258,580,129,185,128,664,730,271,137,647,423,629,16,227,683,190,439,76,530,364,622,206,25,215,302,511,531,761,446,653,84,330,84,770,421,463,323,743,161,665,112,82,137,692,489,587,118,156,625,165,214,191,500,413,348,10,15,233,657,754,11,50,463,197,176,354,125,333,736,706,192,670,361,125,319,235,240,709,603,379,328,607,190,644,279,177,551,654,180,500,428,528,481,38,234,483,204,183,335,691,49,725,120,462,573,721,414,444,38,233,115,617,357,26,236,258,152,90,427,576,214,698,512,351,590,220,50,683,342,232,153,103,129,701,387,768,216,739,94,265,74,325,559,666,651,168,34,160,753,483,64,21,721,180,183,83,389,713,236,390,328,404,25,207,231,162,556,533,478,81,302,575,260,737,296,676,154,70,257,342,667,517,398,708,767,74,423,535,492,746,717,476,497,693,65,90,101,348,343,194,123,753,557,14,154,535,378,455,217,273,636,660,485,643,560,50,97,325,330,63,225,114,258,143,465,506,515,733,419,733,454,634,355,711,214,752,614,52,581,770,296,395,769,129,464,749,362,719,272,1,655,341,554,263,407,596,366,133,574,232,166,528,201,187,605,19,512,708,324,44,93,33,302,16,93,520,147,177,127,261,260,530,651,55,759,61,715,720,605,703,305,574,731,199,101,260,133,599,72,305,234,188,530,585,79,614,439,215,521,341,700,272,470,65,444,86,411,743,207,528,338,678,101,474,301,141,12,411,104,474,127,35,460,372,126,576,244,752,392}

{619,379,623,662,291,577,375,746,103,295,682,53,521,335,172,181,539,571,0,728,284,606,541,223,79,237,686,144,522,707,86,401,705,345,679,563,467,762,251,78,143,513,420,263,0,374,773,369,561,56,532,62,404,690,718,264,432,467,377,28,98,215,162,32,776,608,294,550,572,289,650,666,375,191,287,356,367,488,145,345,666,99,247,157,280,213,421,368,11,498,422,456,438,654,755,28,396,278,307,682,667,570,313,522,63,461,425,247,317,67,94,42,642,239,278,374,18,54,313,23,772,62,769,334,432,582,504,550,53,575,650,477,283,696,292,285,652,710,186,572,760,597,119,138,606,249,381,584,566,205,443,758,373,412,548,84,637,732,402,561,240,179,640,45,773,191,73,6,585,132,27,39,724,409,0,109,30,727,437,59,747,571,516,603,648,496,725,546,111,389,336,734,257,280,581,98,652,200,115,126,347,510,408,225,576,434,504,690,672,382,540,199,106,713,5,482,257,441,640,761,64,315,505,317,318,370,17,252,159,571,627,356,19,228,613,510,480,552,656,198,75,264,51,51,291,150,113,579,106,130,165,555,751,544,109,180,582,477,275,572,140,114,75,176,434,596,532,349,665,440,593,776,433,147,727,7,768,661,55,705,533,604,9,222,490,655,244,468,77,331,642,498,300,313,429,174,317,77,597,675,458,462,123,585,601,662,429,488,618,350,264,402,433,221,478,64,650,378,637,186,482,591,470,452,358,70,218,608,628,670,615,679,716,460,340,284,27,109,566,617,555,397,42,655,517,656,67,382,433,412,360,716,167,742,172,371,245,589,486,98,54,760,675,458,55,91,494,150,499,654,552,508,382,32,375,773,657,449,415,9,212,360,435,676,18,24,36,481,425,718,479,12,273,631,764,508,549,440,334,612,401,457,388,404,247,705,113,437,593,6,110,409,661,758,402,148,730,165,39,776,344,345,135,188,566,67,445,195,755,742,61,326,408,78,75,547,347,377,281,122,143,334,441,254,184,496,548,308,490,760,173,734,93,707,582,152,350,741,310,471,469,718,579,327,3,11,204,174,77,425,550,686,78,561,198,310,269,522,667,322,715,238,487,706,349,423,411,555,144,280,686,370,648,80,42,30,710,648,244,505,46,73,339,614,480,19,429,450,660,509,722,7,542,443,385,669,225,196,498,659,156,673,300,216,160,731,507,293,41,509,707,186,646,284,763,419,679,181,310,160,332,282,644,675,230,318,123,113,149,36,192,631,232,199,236,256,761,689,60,234,274,568,141,462,336,490,45,91,594,182,202,652,266,306,270,515,12,167,173,333,206,532,23,250,107,397,491,105,685,484,690,457,618,108,198,278,471,32,52,347}

7

Returns: 4580
{154,64,102,13,164,163,92,42,169,147,179,36,37,87,133,139,52,95,101,115,128,124,126,82,66,81,185,194,194,162,105,73,81,76,77,19,141,191,186,11,151,84,59,160,9,11,19,73,173,44,84,44,40,124,123,71,117,15,50,166,63,41,3,53,111,93,177,7,96,100,45,191,147,161,96,92,120,191,2,161,68,6,171,54,55,44,122,9,52,137,16,40,195,7,44,7,188,94,47,175,16,72,54,125,9,102,111,73,174,83,126,192,99,3,99,12,90,116,157,74,5,13,23,43,163,184,151,79,365,38,44,56,67,155,185,188,29,12,155,173,24,104,128,183,153,185,53,190,28,107,187,82,103,66,138,163,5,40,157,36,113,125,191,118,170,86,148,92,73,54,116,21,133,128,80,119,36,154,110,56,117,129,38,87,83,87,161,155,57,78,125,96,7,194,13,71,25,114,138,102,113,33,23,115,170,50,11,195,76,88,5,109,31,3,1,125,191,11,130,95,69,14,85,81,624,57,84,138,118,126,27,110,91,18,83,122,47,10,179,104,107,10,112,86,31,119,109,189,122,122,9,141,59,134,165,68,35,73,107,147,199,3,188,147,44,115,161,32,185,42,191,90,24,144,144,159,146,48,102,57,10,135,25,42,4,150,86,134,139,68,159,174,123,20,167,44,167,107,1,77,25,16,146,103,104,115,62,167,60,32,43,65,22,61,31,200,79,191,40,200,93,157,148,56,76,66,103,148,146,150,3,140,26,183,57,164,176,27,109,44,87,53,92,135,34,59,12,30,14,179,186,123,127,41,89,70,5,121,23,190,168,135,42,168,160,111,19,35,7,117,20,156,136,20,112,131,56,51,183,16,152,109,133,112,147,1,169,194,97,34,118,37,70,184,177,195,189,135,75,94,13,181,113,76,176,186,26,58,192,118,50,149,127,123,121,5,32,98,55,95,137,157,153,171,190,38,175,8,69,142,88,19,725,122,79,195,192,183,151,1,34,69,63,116,24,161,85,156,136,64,152,157,176,103,68,114,199,46,15,39,76,158,158,93,134,124,86,122,180,180,91,175,161,71,91,8,23,167,66,50,94,33,164,79,3,74,108,21,20,151,111,24,30,99,126,137,137,81,197,59,187,59,150,103,64,43,137,124,183,162,36,122,9,186,24,15,164,151,193,11,72,178,16,171,118,138,153,66,173,20,59,56,199,157,88,166,139,44,88,157,32,24,23,144,127,189,638,88,187,752,188,92,176,176,112,102,120,40,181,141,293,890,155,182,34,19,100,160,133,147,173,199,143,134,91,44,105,26,777,58,39,113,127,50,40,194,111,184,107,507,10,115,59,189,15,92,60,22,58,102,157,167,33,157,123,52,102,37,122,121,92,35,158,966,162,130,46,140,162,742,35,88,144,143,39,120,13,55,146,109,169,17,53,128,788,93,15,44,79,138,67,87,125,4,127,12,82,83,186,125,280,114,182,50,29,114,44,17,20,62,128,66,108,55,24,162,54,188,64,110,112,24,99,87,128,139,67,13,475,53,110,146,187,149,612,39,24,166,186,789,75,8,51,95,16,69,7,49,198,146,129,51,29,85,109,61,89,195,60,102,153,62,45,25,59,14,130,77,165,185,105,105,26,37,24,182,41,101,129,6,183,111,4,151,38,6,2,172,170,72,61,183,170,86,126,142,42,96,16,33,56,197,194,161,96,194,98,178,102,62,146,179,100,115,41,120,177,139,25,33,29,16,79,127,23,96,81}

{84,73,329,392,595,157,234,95,249,232,210,768,669,118,476,661,630,658,219,243,749,85,130,109,297,107,442,143,666,174,240,686,640,219,283,324,89,502,222,457,198,172,295,90,29,544,527,16,747,727,754,60,421,672,747,360,489,716,188,15,585,391,639,240,137,573,756,123,332,218,380,30,478,758,156,363,23,569,261,605,12,744,687,487,719,574,32,255,156,715,58,495,287,579,145,400,37,404,188,426,42,202,5,694,329,769,460,52,354,685,298,763,353,516,550,450,630,16,245,555,443,207,693,736,640,186,465,579,32,536,633,755,586,100,211,218,213,595,648,771,210,217,752,254,593,338,38,216,751,668,199,264,8,255,100,537,490,242,502,550,397,60,97,661,735,478,47,723,473,527,391,747,364,584,708,440,81,515,93,122,291,56,408,739,227,753,116,256,517,769,167,761,164,429,710,677,316,178,462,695,477,136,413,111,487,654,326,580,91,757,500,539,462,697,85,676,271,111,568,17,581,565,528,16,642,699,86,116,74,65,429,93,79,411,422,457,366,584,91,15,351,176,662,364,762,621,405,764,482,197,516,204,329,474,494,440,484,373,363,279,187,660,57,644,155,468,608,203,743,641,623,687,515,509,52,481,649,305,141,702,575,566,239,129,201,99,758,693,193,275,298,379,389,451,514,242,316,625,266,527,150,8,331,211,354,671,124,404,370,227,231,163,494,542,116,721,580,436,577,752,207,167,669,343,488,637,50,431,615,349,3,3,49,162,87,423,352,93,728,637,508,6,159,674,569,178,70,734,581,383,375,359,243,222,33,430,451,133,336,531,186,719,729,112,190,596,499,688,291,764,380,738,722,772,723,172,569,755,577,378,209,737,186,336,357,6,398,255,168,351,150,279,71,350,732,456,468,635,439,406,373,484,0,43,129,54,69,558,429,480,19,17,431,652,399,187,456,510,159,162,371,591,401,315,479,397,334,399,751,713,668,660,72,273,168,142,416,608,214,737,376,193,326,86,445,103,506,113,152,622,712,193,320,469,706,204,310,122,366,553,370,382,283,308,168,702,601,774,730,320,753,107,701,453,660,765,738,138,74,444,468,256,141,625,775,477,465,283,672,100,633,360,515,131,29,671,198,44,568,734,78,512,461,736,237,86,161,9,251,211,556,352,148,122,237,332,324,378,185,405,217,645,204,391,744,308,508,447,182,579,408,370,651,540,643,603,412,225,518,61,194,282,715,479,80,503,138,341,94,338,19,49,203,325,242,264,753,669,61,388,758,694,120,492,278,615,182,428,418,154,458,194,384,325,87,426,225,539,713,307,4,279,34,463,522,745,190,455,692,721,50,537,132,595,440,438,276,53,78,318,685,654,71,77,721,307,693,682,628,631,300,341,683,489,762,293,70,630,389,299,443,56,674,249,609,532,321,1,264,453,286,4,240,266,371,338,275,284,453,314,774,55,683,109,63,711,505,29,353,703,205,617,20,50,282,639,343,314,324,227,389,384,281,90,25,539,123,732,648,111,292,559,760,402,12,632,147,521,225,384,367,270,147,261,20,7,398,127,480,53,676,37,682,697,749,507,562,222,217,476,663,364,487,201,81,46,37,481,476,436,358,192,148,151,438,566,154,99,146,703,57,104,310,216,488,594,664,339,301,624,757,68,129,131,164,334,32,104,7,500,45,385,688,406,651,713,749,750,43,138,457,748,12,320,462,277,354,107,516,137,348,95,47,200,68,586,392,1,438,593,315,641,663,614,766,68,321,746,156,148,757,514,745,686,57,491,33,702,323,566,45,435,652,716,752,77,710,137,238,108,343,661,109,26,31,15,226,319,505,434,506,63,270,198,454,363,288,52,407,460,187,584,72,750,695,135,269,416,159,615,345,639,91,668,480,278,676,366,368,543,708,243,289,488,667,605,740,442,348,83,452,731,644,606,172,524,586,474,708,623,307,23,733,555,616,413,647,84,135,291,61,738,110,90,675,768,336,256,352,62,540,598,233,239,506,378,203,555,575,709,10,306,475,47,411,703,636,231,400,520,6,347,349,251,87,694,563,183,556,245,282,360,599,265,699,322,470,727,348,775,34,237,231,85,580,0,622,640,146,247,451,471,245,475,723,460,371,522,316,318,98,715,430,146,298,43,108,379,471,687,727,94,375,197,662,591,743,27,511,77,379,353,435,568,205,759,629,340,764,528,768,408,575,123,182,501,755,426,169,598,698,407,507,481,60,162,554,131,770,300,536,743,683,259,585,662,567,345,268,632}

{436,99,544,313,680,260,344,381,361,744,314,420,0,534,72,305,273,420,655,696,567,632,41,635,606,342,207,92,554,80,704,212,610,55,722,296,158,22,270,13,20,650,673,149,313,309,648,181,643,769,673,638,179,30,216,135,139,717,587,412,46,118,45,103,699,541,76,350,679,273,485,410,424,230,461,49,134,674,177,495,215,96,174,582,599,558,698,536,450,441,223,414,570,533,313,636,124,559,612,79,446,444,234,381,287,41,285,657,233,192,294,407,139,110,573,11,238,665,53,327,557,311,739,220,395,133,469,374,140,44,335,397,614,21,675,290,707,606,183,523,463,762,58,105,160,664,445,754,13,79,75,174,9,229,390,64,250,680,725,513,653,430,545,40,184,292,511,773,735,301,567,112,200,209,166,395,414,561,587,667,720,664,592,597,741,271,235,380,82,67,163,486,483,479,760,485,14,373,659,631,647,325,433,718,276,403,167,274,448,656,604,337,472,396,520,678,543,180,28,265,421,700,620,505,551,771,548,513,607,680,594,600,11,511,166,428,684,317,594,441,540,597,128,646,642,51,66,562,537,524,1,725,59,69,535,130,339,115,276,221,641,598,175,571,75,544,767,322,215,772,467,36,619,331,27,690,626,499,199,443,585,704,390,442,62,614,199,696,726,58,522,355,751,335,83,572,627,228,169,419,541,319,105,130,748,252,497,262,679,21,136,248,241,741,725,596,420,309,195,423,570,22,634,311,637,333,38,244,450,524,25,278,113,467,3,616,201,714,657,558,267,241,277,388,263,482,730,333,547,267,347,362,293,425,345,424,318,347,233,563,562,706,739,673,666,30,532,200,636,447,620,247,157,126,205,654,288,197,611,682,382,365,92,396,478,763,626,184,41,707,658,387,534,730,215,303,355,67,31,206,35,27,160,340,418,415,206,302,530,504,170,459,248,18,102,271,521,671,188,98,508,513,144,280,771,342,501,449,39,73,64,213,346,441,529,254,563,357,327,670,576,246,94,48,409,638,554,115,312,573,587,428,533,415,621,621,112,665,589,548,485,483,564,765,258,210,761,239,252,180,437,294,392,401,396,185,88,179,597,714,18,44,251,714,496,672,655,447,500,647,120,625,261,464,570,26,701,638,220,101,150,464,303,724,299,106,504,405,42,395,361,670,545,398,576,388,10,293,548,220,383,695,118,775,626,311,611,590,218,593,546,491,234,463,351,196,171,659,306,149,492,686,301,18,268,155,244,734,754,583,248,607,523,393,171,114,260,578,565,158,421,17,547,119,158,620,39,393,417,646,350,512,288,304,117,495,767,748,610,493,538,601,78,551,361,590,124,374,24,272,535,297,54,212,675,572,431,2,362,761,701,732,236,202,321,46,223,268,38,525,667,169,74,774,184,277,525,400,121,235,603,512,532,717,171,724,382,571,157,275,368,75,452,565,414,394,493,326,26,690,427,731,529,365,80,39,246,551,553,704,582,696,763,191,96,367,520,722,165,337,692,286,665,434,114,746,411,249,446,691,96,387,525,718,652,36,357,707,477,557,160,63,315,461,528,611,84,616,624,297,549,246,9,496,34,272,530,666,448,284,65,230,433,165,627,5,697,465,281,372,161,229,706,604,346,11,394,521,71,190,564,67,717,310,432,496,657,681,466,191,529,265,471,617,486,677,266,323,376,317,733,590,274,576,328,110,452,519,19,356,724,64,646,670,617,119,605,202,663,737,591,469,267,547,287,51,125,121,467,765,244,36,484,642,296,514,164,533,448,459,269,362,35,372,22,340,8,403,134,385,415,92,117,143,449,54,770,403,659,741,127,600,66,319,149,523,294,446,643,691,196,410,83,510,125,176,299,750,444,139,337,223,289,344,69,390,466,503,259,510,48,101,296,194,82,289,560,613,427,309,596,552,65,689,28,612,302,31,81,55,166,355,530,196,224,746,491,427,458,735,550,624,658,577,538,459,213,502,399,492,601,705,140,214,115,369,622,260,4,760,252,254,387,280,323,365,327,401,274,374,572,712,349,331,631,417,140,247,375,599,332,13,612,393,2,656,339,418,292,51,230,726,342,385,176,681,219,692,154,98,394,335,304,759,105,66,180,553,499,677,507,23,716,679,7,413,464,433,214,333,40,127,134,486,183,317,770,690,456,367,114,170,449,101,369,155,504,726,344,228,635,609,494,583,564,229,40,346,269,720,88,534,35,381,493,21,73,113,466,163,538,280,185,121,304,170,272,2,607,173,535,482,633,571,161,742,28,681,228,383}

7

Returns: 6023
{149,108,67,200,176,100,5,61,84,169,80,85,64,156,167,22,60,176,269,175,148,14,90,11,7,343,172,100,105,109,105,181,155,142,121,167,74,111,197,74,36,153,121,163,151,4,99,85,130,156,147,168,111,195,7,25,127,25,184,78,118,162,36,862,9,193,124,109,182,174,175,91,189,12,79,61,95,22,13,106,39,2,130,28,8,96,150,149,53,154,78,102,84,55,62,143,66,73,188,2,34,113,151,49,145,200,170,167,98,186,134,151,187,121,14,38,192,167,107,32,182,177,186,89,22,24,79,154,195,114,146,73,59,183,67,90,75,75,87,152,90,198,252,43,150,93,199,23,10,62,41,103,79,79,109,64,69,22,165,156,122,10,127,91,23,144,108,82,167,18,83,104,83,180,168,147,18,196,126,55,117,68,98,178,21,167,159,189,40,118,66,174,92,183,68,33,4,100,104,49,161,185,116,97,123,80,7,83,175,176,9,107,97,24,26,158,50,88,76,78,138,176,126,28,170,167,143,82,97,175,38,236,49,6,101,38,153,56,79,101,27,169,14,90,136,161,176,157,96,101,136,152,71,154,111,53,197,67,79,105,41,126,89,200,186,33,2,79,9,102,60,73,152,161,833,127,29,152,156,157,63,57,33,67,163,200,130,131,179,174,192,101,167,49,86,171,169,86,96,186,55,47,22,157,139,136,51,136,180,131,77,182,7,40,139,150,189,39,32,81,66,127,177,164,22,73,55,191,186,39,82,130,124,52,1,119,80,183,79,91,185,63,147,96,44,59,96,197,157,97,264,48,105,136,142,67,408,121,175,188,103,66,117,161,106,142,135,97,24,171,81,21,116,180,38,175,16,127,140,155,48,117,196,54,73,76,191,118,71,160,196,170,166,105,79,38,27,182,48,198,148,803,534,80,165,140,80,184,138,169,5,64,167,23,51,124,135,41,114,29,93,17,18,147,59,176,45,155,116,172,159,151,168,943,131,146,62,98,48,24,81,198,141,191,108,148,48,126,20,128,158,122,118,104,12,197,178,46,120,127,61,128,23,45,72,195,91,14,173,119,184,146,145,75,9,188,122,102,125,186,26,187,167,171,128,39,8,115,25,56,38,163,40,197,3,184,126,34,136,157,134,151,167,99,172,14,35,77,2,10,87,122,134,83,174,116,118,12,152,166,189,22,182,137,64,56,26,170,180,177,134,182,12,139,159,28,40,19,14,162,84,6,88,172,55,71,192,151,187,582,160,23,82,21,23,2,28,138,75,399,44,25,54,96,51,502,86,187,114,3,5,115,106,4,157,24,194,106,114,128,51,87,177,102,188,116,70,163,198,174,16,108,64,56,169,27,2,169,107,143,24,29,53,114,6,78,72,45,138,87,183,38,2,200,19,117,157,148,193,29,115,100,131,138,86,167,111,137,81,82,112,165,117,143,187,36,20,128,21,101,78,193,125,92,74,79,85,164,27,149,24,65,189,187,134,3,44,130,132,79,115,26,25,52,10,52,58,162,85,5,81,169,156,46,91,158,156,126,162,140,142,69,16,165,43,44,119,80,160,36,153,95,187,84,50,45,96,37,39,85,124,116,113,33,128,150,95,137,147,121,186,72,135,175,37,66,48,103,61,99,60,10,50,72,193,164,196,56,166,130,112,809,94,145,96,191,136,25,1,63,189,59,164,195,68,71,189,121,91,47,131,199,11,183,129,61,105,199,61,167,183,181,23,165,106,82,92,109,199,83,171,95,173,168,56,6,156,92,192,78,82,85,136,195,196,94,22,150,18,7,75,179,52,151,16,32,64,99,175,178,85,200,131,9,94,69,173,71,149,85,140,91,145,2,55,108,90,18,110,125,28,70,24,91,153,24,150,110,183,108,455,101,182,191,26,114,180,131,3,107,23,111,179,132,38,197,42,76,115,176,74,63,176,74,8,127,195,165,189,183,156,68,153,149,164,76,91,77,146,177,174,61,123,151,5,166,78,3,85,99,892,181,40,73,9,162,97,196,154,197,147,62,126,110,167,141,135,128,122,17}

{203,341,77,28,242,215,192,730,330,101,22,191,361,33,393,193,889,579,666,782,852,325,563,759,744,609,373,648,701,598,727,681,737,484,522,660,857,314,832,213,147,27,655,54,440,386,825,685,656,838,409,536,427,79,223,324,410,344,896,8,534,221,408,147,85,593,506,607,447,737,19,219,593,619,183,409,265,550,634,891,420,747,116,265,34,464,798,118,719,3,877,685,213,714,767,563,764,713,673,598,425,393,144,323,334,167,742,119,216,139,525,397,860,110,649,297,547,287,523,416,894,178,67,299,14,723,85,735,836,101,486,218,262,137,805,126,867,195,272,10,176,709,719,366,271,16,362,613,381,113,87,182,376,632,167,360,454,869,1,219,82,50,665,192,427,278,709,699,5,834,710,508,522,620,276,692,48,834,606,466,108,330,648,13,495,354,265,858,407,302,420,887,525,897,820,798,370,22,624,613,680,479,117,673,762,98,82,527,568,792,365,190,364,170,325,156,140,407,68,90,360,751,894,654,320,238,699,491,246,409,184,197,527,866,197,587,103,118,383,554,633,172,546,198,291,724,860,473,759,271,554,536,501,201,221,701,643,33,465,587,149,799,302,787,260,423,14,639,207,483,234,456,329,24,406,98,887,707,406,726,529,315,872,52,774,310,111,345,247,271,628,341,420,654,367,704,602,349,446,92,465,867,252,179,19,890,625,268,357,877,618,156,268,780,650,300,330,897,149,340,192,878,783,92,388,444,762,481,70,357,836,535,480,435,84,662,174,500,360,9,646,640,457,153,492,373,616,381,820,529,131,313,558,67,426,472,246,430,369,826,569,632,659,555,606,801,670,7,704,74,31,126,410,27,163,194,596,472,68,93,397,161,90,312,71,584,748,891,198,62,155,447,112,458,858,51,121,130,625,532,380,889,841,810,784,545,706,578,346,823,749,352,842,842,801,860,201,413,810,80,61,683,692,71,65,797,203,61,435,454,513,545,425,824,869,826,89,277,211,354,629,511,407,705,257,298,551,484,794,500,457,754,165,748,797,308,425,578,218,349,295,347,303,761,73,693,87,716,196,238,709,201,796,858,493,726,713,188,364,793,733,450,523,123,870,160,106,589,104,541,361,364,688,724,605,316,727,457,879,119,117,736,131,714,345,463,635,870,260,151,211,737,165,571,810,173,615,769,782,116,728,596,580,224,33,666,883,507,51,96,359,527,723,547,446,792,301,763,811,226,287,701,873,299,213,161,377,56,877,253,296,116,156,758,715,314,159,73,848,842,474,792,262,406,460,870,288,572,715,766,680,459,735,601,708,501,602,386,40,847,36,617,226,764,824,446,680,687,186,195,385,488,881,145,666,813,45,145,36,8,145,410,332,757,185,703,581,814,111,327,171,719,676,216,325,494,453,395,108,26,896,555,840,617,428,540,30,144,784,893,818,348,728,77,209,228,232,117,807,186,863,808,417,376,421,39,57,423,299,517,639,797,81,874,92,173,534,423,282,661,239,96,462,773,678,451,606,758,131,295,551,160,491,247,86,134,804,669,850,462,599,39,826,841,8,327,676,687,140,893,448,291,242,129,5,38,155,773,355,12,767,841,427,27,580,24,815,513,684,691,277,459,369,217,421,829,459,495,297,824,583,614,611,750,726,107,267,346,129,98,291,225,214,211,54,430,303,655,123,322,749,215,767,650,107,732,272,390,19,694,548,807,488,207,323,169,793,93,795,804,22,243,537,214,437,503,357,437,756,881,461,473,308,831,278,512,517,537,819,331,704,417,615,79,303,180,541,625,118,673,641,444,443,590,73,250,50,329,130,258,632,802,724,769,541,388,535,165,679,130,490,172,447,194,42,760,825,107,194,69,351,573,388,259,227,733,14,71,716,863,545,163,90,490,611,50,733,253,739,353,292,155,2,161,176,332,516,258,616,522,555,355,347,168,113,486,611,589,327,716,199,495,801,657,564,34,69,452,515,352,659,468,147,758,537,428,54,517,103,886,533,739,372,762,584,195,279,627}

{538,629,657,755,718,859,369,97,639,895,46,538,476,48,203,755,736,154,171,136,595,125,106,715,264,626,760,430,703,482,653,853,429,286,146,209,250,862,150,239,612,309,74,566,626,786,822,547,774,300,499,566,197,652,292,259,561,835,815,340,692,513,662,393,713,525,129,504,400,15,599,781,781,664,651,339,336,619,658,521,686,469,862,39,483,164,296,223,864,415,895,588,121,613,188,602,815,619,789,267,356,68,831,609,381,455,442,309,137,157,533,334,125,137,695,445,844,727,780,814,855,75,6,389,645,176,143,412,822,554,121,115,204,604,859,851,275,847,510,0,451,855,433,480,523,384,803,337,273,837,105,694,651,317,405,389,126,678,681,422,91,223,384,11,305,101,862,884,672,37,280,882,326,886,296,620,622,256,76,187,418,448,43,856,100,284,333,895,880,384,208,440,210,344,832,60,610,319,289,821,773,202,745,440,631,518,506,891,556,151,609,728,872,332,633,566,598,343,304,634,180,181,635,115,485,151,261,21,448,128,623,672,148,23,844,169,560,379,682,505,579,95,229,166,320,468,11,682,180,871,59,380,166,549,515,100,492,678,699,106,35,594,419,604,852,817,268,270,340,884,30,32,266,378,251,83,7,83,386,577,562,750,254,620,65,435,362,766,136,329,827,285,757,621,30,231,41,280,827,486,94,47,358,363,617,651,500,799,400,647,496,378,31,88,250,146,224,169,572,0,109,859,153,272,93,633,75,560,241,745,243,450,661,390,477,837,558,199,551,179,808,376,123,318,846,874,768,588,796,736,546,378,333,47,338,321,702,189,515,174,236,498,479,456,836,445,422,518,18,150,157,110,160,693,487,852,868,628,483,76,158,656,492,892,274,140,869,647,809,785,779,605,608,434,590,694,505,385,863,10,74,52,142,230,591,408,345,181,542,86,199,612,580,234,244,70,437,17,475,461,379,643,257,544,469,505,746,58,175,848,657,124,25,306,166,372,294,352,307,795,276,239,63,200,775,328,112,595,519,695,279,599,789,795,897,310,402,840,58,821,28,426,395,175,382,685,411,419,561,434,125,401,275,811,159,745,43,493,361,757,546,336,191,61,333,861,888,848,76,557,319,577,542,442,827,65,84,811,643,664,461,847,429,845,662,249,882,586,285,358,436,868,241,288,289,150,455,188,819,473,743,302,328,367,1,746,878,261,480,365,494,462,732,573,558,56,843,415,445,556,264,661,739,452,577,857,102,200,672,2,319,786,133,887,721,421,785,535,379,284,204,475,819,235,743,665,252,752,225,200,362,154,584,396,208,331,484,243,653,95,374,812,316,152,113,781,879,884,222,91,17,273,660,730,412,312,591,477,51,647,519,31,861,320,344,1,538,391,41,185,152,565,749,674,32,451,821,675,789,489,722,482,845,805,833,818,99,481,698,135,196,531,629,441,189,702,389,720,236,876,37,553,154,808,11,585,55,670,377,825,783,273,443,886,718,109,414,509,259,851,553,747,465,153,270,892,134,816,896,87,637,307,96,411,853,876,20,519,660,431,691,289,338,830,229,743,596,494,458,109,499,387,839,133,750,270,823,717,367,803,35,350,615,205,481,622,162,210,771,686,424,755,135,204,95,399,524,899,37,751,255,562,770,502,4,334,560,784,128,132,650,382,141,235,581,809,187,313,721,760,380,591,518,772,5,855,429,479,346,390,417,794,671,267,520,43,439,691,254,218,832,317,60,659,135,275,236,159,450,885,335,844,696,304,158,32,353,196,837,892,559,290,78,812,803,772,224,152,730,100,812,210,382,414,10,370,831,553,339,75,392,649,256,822,574,804,595,851,79,77,157,260,252,705,689,189,506,885,485,622,455,829,24,184,876,604,349,731,365,290,21,626,533,865,514,594,7,674,675,323,375,729,838,67,777,501,229,395,21,255,297,840,171,415,304,286,458,403,766,635,141,854,375,419,839,556,453,487,94,339,775,846,597,703,112,799,191,867,88,86,805,612,587,478,128,562,280,636}

6

Returns: 5701
{178,186,9,30,92,149,113,103,6,75,145,17,155,113,136,149,94,194,60,103,178,113,170,63,158,148,188,88,19,121,38,194,182,22,58,81,114,69,187,49,13,129,25,49,124,141,156,161,21,22,73,159,95,12,54,5,83,73,29,131,199,188,102,46,25,11,60,134,51,118,62,169,169,43,61,132,189,107,8,79,26,160,12,3,24,147,9,28,149,57,20,29,124,48,81,40,44,114,129,30,8,144,177,137,112,3,67,130,41,84,146,182,41,129,121,152,161,190,127,36,65,127,44,37,174,19,32,63,34,198,200,30,177,182,16,61,199,58,113,49,51,16,32,86,158,195,158,20,91,49,15,116,57,42,53,32,1,54,179,70,157,80,33,149,71,83,34,94,15,103,64,184,17,179,91,173,44,119,44,89,43,50,160,5,128,303,20,59,102,65,68,99,181,63,8,170,178,75,147,61,77,20,55,48,165,9,94,6,119,29,34,155,151,175,62,101,188,169,114,104,147,68,175,170,156,150,155,164,152,198,197,40,104,56,158,22,25,95,136,198,35,110,63,163,163,82,62,61,147,173,153,178,143,127,91,131,42,29,35,108,109,159,146,193,52,133,156,189,195,21,197,112,86,185,177,114,142,68,153,67,76,114,200,118,152,164,128,73,144,115,43,35,199,116,180,73,190,57,21,166,10,30,178,16,41,86,104,30,71,199,135,188,39,14,110,117,160,93,42,193,21,129,115,186,144,5,59,35,153,72,140,31,87,29,181,38,148,51,128,200,142,139,44,12,183,58,99,50,128,137,140,107,144,189,182,107,152,39,155,59,128,172,86,92,30,149,82,193,85,149,25,152,118,126,49,37,148,102,121,42,69,57,199,97,52,85,93,30,150,77,146,14,73,43,102,44,149,18,114,178,44,139,40,88,189,113,88,46,76,190,196,57,96,175,105,76,3,85,137,76,176,159,69,166,189,12,874,196,51,8,70,79,128,170,59,164,4,87,20,124,128,120,72,172,59,173,53,155,20,92,20,105,44,192,110,146,94,59,143,13,107,163,5,160,190,69,166,129,73,12,49,142,176,112,27,114,35,135,125,87,127,79,197,45,179,179,40,78,169,40,143,136,19,123,92,67,24,141,78,146,23,126,40,159,78,154,82,40,107,172,138,164,26,197,125,199,86,99,34,129,66,161,135,95,7,34,44,11,152,31,75,87,41,71,166,25,193,117,140,27,96,88,96,180,100,154,155,100,31,194,73,116,128,68,96,88,76,12,165,148,164,179,172,82,3,182,127,16,112,196,35,96,165,9,200,25,195,114,841,73,149,56,42,194,149,70,191,143,5,46,137,118,52,19,200,122,99,32,17,76,17,73,23,140,19,150,178,65,151,197,8,178,36,47,181,96,105,75,45,166,73,89,18,110,53,122,55,68,8,30,163,67,76,17,130,4,43,83,123,125,170,106,59,120,32,98,37,13,154,23,147,59,88,117,28,15,40,61,153,181,128,70,182,30,31,132,186,104,95,140,24,118,46,82,169,50,129,552,41,152,67,64,173,109,96,39,190,46,131,173,104,42,119,69,51,84,127,199,186,169,122,150,2,19,24,125,200,60,130,49,44,60,106,91,165,65,93,157,91,69,93,197,70,171,82,28,36,2,158,80,120,70,112,180,3,44,165,177,198,161,3,114,89,22,15,62,30,38,146,102,197,97,99,82,175,53,91,153,177,181,169,38,46,97,175,140,191,129,164,84,67,106,47,172,192,38,85,128,183,27,161,189,33,116,133,183,102,87,171,40,164,150,152,134,82,181,94,75,91,83,52,15,192,20,81,116,76,33,55,8,188,81,72,110,182,131,157,8,19,158,75,44,155,150,166,110,109,74,94,32,33,121,7,13,11,161,183,90,71,92,105,70,135,28,134,90,176,94,56,129,75,6,197,166,146,132,163,77,9,50,166,192,63,28,189,96,134,81,173,143,166,32,170,46,80,46,143,156,174,8,182,147,92,64,142,45,40,149,22,67,32,153,101,69,110,105,195,14,2,109,167,7,19,133,76,168,56,191,160,126,144,90,42,170,121,148,25,30,89,20,44,110,85,70,126,2,46,63,101,41,78,115,174,96,82,130,19,53,159,145,83,66,174,91,59,112,115,20,34,24,33,184,117,140,182,66,106,65,12,111,168,4,188,26,107,135,180,18,126,106,33,47,164,73,169,19,133,186,191,81,156,116,21,157,3,134,134,108,60,78,64,130,200,16,10,103,17,184,186,25}

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7

Returns: 4200
{18,96,146,56,178,28,160,189,67,33,110,146,144,182,79,117,186,60,114,111,158,163,69,194,33,55,26,64,8,95,532,105,134,35,129,139,106,160,11,68,135,153,50,79,101,101,53,8,45,27,171,69,145,144,65,99,163,55,4,140,118,192,44,141,99,59,45,11,176,199,66,55,171,62,98,155,173,139,47,26,105,155,195,42,97,25,120,102,154,123,81,134,107,198,69,102,126,169,9,51,98,183,189,46,167,28,170,8,142,62,111,60,58,95,187,11,147,62,213,103,121,13,11,32,91,118,59,118,76,184,198,191,59,13,172,183,193,27,50,56,83,146,72,179,43,21,13,155,159,63,172,93,160,196,156,74,83,180,30,52,42,24,37,9,150,176,70,3,123,17,86,175,135,139,142,3,64,73,19,81,36,34,119,7,195,133,35,101,65,92,174,163,172,66,31,14,151,106,187,71,17,190,70,146,54,108,129,152,122,193,48,135,98,10,41,169,109,131,93,110,62,28,117,66,56,111,50,95,117,50,127,80,98,168,30,189,138,160,115,49,179,122,135,7,83,87,130,104,112,63,107,12,151,194,4,170,194,87,124,95,123,3,26,70,104,72,70,2,36,164,155,24,83,35,104,138,530,51,105,111,44,150,161,152,78,11,17,118,80,197,92,109,199,59,120,164,43,121,57,166,158,486,101,2,170,82,2,30,174,94,142,66,77,108,76,179,73,104,130,106,124,196,10,29,132,174,94,175,114,193,35,193,39,156,179,72,4,184,125,174,33,199,18,118,136,133,2,183,64,73,41,56,179,130,189,191,16,97,106,29,138,172,115,124,129,3,75,129,196,74,30,46,68,106,97,6,169,116,1,113,106,5,148,93,94,137,22,101,142,78,161,87,123,123,170,145,169,194,139,73,54,88,14,100,191,190,112,165,185,155,76,116,112,51,36,180,1,6,66,103,91,35,12,196,178,134,21,190,79,98,152,143,46,29,40,32,792,70,135,194,191,115,10,132,16,116,55,35,191,79,127,56,107,68,55,99,53,166,19,5,31,57,21,59,151,10,40,136,166,98,128,92,170,171,172,45,34,86,198,173,3,187,147,160,53,41,43,58,67,98,138,151,176,62,34,94,23,132,176,42,155,167,178,102,49,109,186,98,124,93,97,186,68,8,152,36,94,194,180,7,200,7,24,3,78,189,77,1,184,127,56,90,87,46,68,98,132,25,19,8,151,77,84,54,64,4,186,155,132,178,48,38,152,170,32,26,118,168,128,167,156,4,193,168,139,145,2,200,138,62,39,179,133,93,17,40,104,119,62,181,80,161,84,186,11,37,98,82,90,190,112,117,73,93,181,190,27,16,125,132,187,123,43,123,39,47,5,36,100,145,152,110,90,55,49,75,73,106,187,48,157,109,167,50,174,84,177,52,50,68,1,96,62,126,128,90,130,170,33,133,28,195,40,175,86,198,181,64,69,128,163,123,167,15,146,93,18,18,73,139,53,124,117,88,134,42,720,55,2,59,164,37,186,26,7,14,73,34,40,94,52,33,189,141,54,187,63,25,168,135,17,196,83,133,32,13,68,85,94,141,161,71,94,101,58,168,196,78,8,64,67,197,134,151,175,119,184,70,34,7,186,47,33,62,67,172,115,108,60,74,41,15,49,150,13,13,6,22,97,39,145,44,43,94,142,134,153,21,93,94,4,149,20,196,148,132,168,108,28,167,179,50,18,121,111,51,159,193,16,108,167,196,130,100,96,86,105,113,28,23,138,172,157,267,169,161,154,182,6,150,176,83,52,187,149,99,108,30,119,123,95,167,44,9,33,8,61,58,90,86,188,4,195,164,71,34,162,147,40,148,48,28,148,109,193,197,20,39,55,45,127,71,66,62,16,35,104,105,159,117,96,116,41,120,138,101,74,79,47,159,198,79,9,171,121,108,146,160,39,57,172,182,6,137,154,24,30,144,147,188,106,139,156,138,179,142,182,88,141,85,166,112,160,68,111,26,75,18,20,48,167,60,93,62,5,191,176,127,136,187,170,145,5,138,120,133,78,12,17,188,117,77,132,14,1,190,124,17,178,169,137,95,132,38,24,188,140,35,173,10,172,74,53,102,197,121,91,170,5,53,78,137,70,167,111,168,186,20,189,116,19,124,41,144,106,48,167,129,79,101,14,194,176,142,94,13,110,149,131,198,110,125,116,68,6,168,18,9,71,71,35,175,185,175,72,95,81,178,72,32,38,49,12,128,166,148,2,173,18,29}

{401,271,749,834,469,608,607,687,42,878,366,988,74,782,764,800,566,761,596,962,154,74,722,414,495,161,704,775,83,175,137,153,835,702,836,740,509,235,878,943,583,528,398,620,407,302,767,372,507,302,139,339,464,215,162,576,166,484,405,345,285,387,18,405,20,106,672,314,845,43,373,951,579,808,811,369,701,649,214,926,156,612,198,835,792,469,216,226,240,984,580,323,70,104,130,165,60,178,775,484,750,756,137,797,761,87,701,589,208,64,150,827,152,783,452,870,541,392,139,281,567,232,951,151,718,310,311,117,487,892,718,802,143,879,470,949,763,480,729,15,517,14,338,738,424,173,89,926,886,724,853,482,494,955,410,74,790,453,942,949,11,600,203,830,717,73,204,568,429,277,615,479,359,860,615,930,489,159,308,529,335,644,684,139,789,575,452,777,189,987,284,663,173,22,449,30,448,777,149,186,997,657,200,700,263,624,767,651,712,932,699,391,989,631,796,132,573,699,483,631,464,507,181,782,488,170,473,66,871,201,109,29,404,50,107,852,415,19,824,266,280,1,790,414,399,88,615,146,126,67,586,170,753,890,342,951,107,905,868,26,764,312,10,150,514,171,271,866,210,840,727,240,648,286,531,537,274,288,22,55,118,705,205,797,410,118,858,995,361,391,263,736,838,507,296,386,318,810,994,320,974,710,647,185,168,114,126,624,817,925,519,593,718,527,309,668,365,929,434,721,955,138,392,57,389,218,549,942,267,197,659,779,473,699,103,91,181,287,7,160,413,67,91,795,826,168,101,725,789,232,398,308,763,542,390,605,748,187,114,688,957,772,10,14,823,702,319,948,680,865,674,931,165,78,806,310,327,65,127,468,479,783,879,573,342,697,717,183,338,161,831,478,292,576,539,231,197,288,119,47,565,792,868,120,216,917,37,855,417,362,987,409,47,40,966,543,449,228,853,134,124,250,195,489,65,121,43,617,550,27,404,705,537,371,1,358,650,388,834,935,28,101,78,687,347,594,510,521,557,435,696,877,218,199,30,514,990,27,460,857,955,466,750,280,2,427,29,389,542,431,313,197,399,272,909,117,934,118,620,928,146,685,191,974,24,64,781,703,659,836,597,686,685,313,216,362,101,631,317,404,187,377,483,915,954,967,836,680,264,232,377,624,729,568,907,559,241,568,893,753,778,689,920,768,964,360,340,984,220,290,68,661,989,167,425,10,304,29,777,207,228,861,759,669,596,134,166,643,971,425,471,744,24,566,929,309,873,155,808,860,981,782,866,722,625,21,49,281,936,362,305,762,193,779,917,130,160,889,40,314,318,683,112,923,526,451,492,947,578,881,250,520,296,490,562,240,520,677,502,672,425,2,992,125,826,103,39,170,749,739,707,47,354,342,581,843,787,223,626,66,287,704,367,392,220,117,936,38,949,910,152,388,250,710,576,260,665,384,377,743,996,929,254,195,75,876,621,857,693,853,463,895,415,943,247,962,415,450,341,211,222,466,466,759,463,107,548,460,866,983,514,335,476,207,744,674,288,191,959,79,147,57,552,705,464,814,805,613,169,318,716,218,657,861,84,763,22,620,332,694,542,256,691,881,391,358,629,987,717,671,308,946,324,527,222,787,149,328,748,35,337,865,521,960,159,616,359,324,554,172,714,402,765,443,668,446,130,714,988,892,46,328,653,262,985,260,350,759,988,656,937,887,635,841,50,399,540,792,433,349,989,397,495,333,256,646,845,207,638,169,76,753,446,520,603,616,758,748,707,501,964,800,605,94,260,719,915,430,661,979,102,745,572,595,591,623,430,368,831,380}

{79,535,353,790,837,932,680,71,972,33,663,279,911,8,839,174,87,605,603,259,953,111,912,502,370,70,378,847,606,393,655,561,275,852,894,618,462,682,233,880,757,54,475,123,899,910,481,40,830,634,320,504,635,842,529,418,503,827,199,448,108,750,408,663,303,747,454,956,693,380,336,66,710,430,211,449,83,752,804,670,766,722,6,142,248,272,660,290,491,558,508,356,711,670,158,238,86,979,760,46,284,524,8,344,423,127,720,211,351,141,381,852,727,666,289,406,596,658,289,110,219,826,941,369,799,614,93,745,67,178,591,885,193,238,224,178,970,842,515,188,974,981,372,359,896,809,420,912,407,996,77,622,385,421,671,512,967,195,71,980,473,69,345,300,176,922,209,394,986,538,286,534,691,786,499,908,582,996,241,720,788,671,900,152,757,604,636,132,793,330,334,102,361,353,884,276,733,414,544,8,734,978,548,874,780,355,278,957,521,856,242,873,236,262,513,978,800,34,417,529,525,688,451,613,887,282,477,259,614,895,99,788,907,751,598,652,104,657,958,614,801,629,648,485,159,102,942,793,200,456,884,518,343,934,931,261,846,205,965,468,100,822,927,902,896,894,752,57,918,652,637,523,257,691,145,271,869,354,16,356,375,827,660,327,45,639,33,632,188,560,463,428,397,356,293,237,716,272,63,298,839,59,237,732,601,62,358,448,315,854,621,513,125,352,36,886,954,670,547,210,795,499,381,16,560,897,565,12,385,875,924,454,203,126,378,386,109,217,284,586,268,316,78,389,911,779,515,736,215,769,360,828,92,554,255,591,944,874,19,534,395,441,242,52,981,155,426,618,986,918,96,732,554,366,682,456,52,266,224,136,324,628,227,435,660,291,780,407,412,460,992,95,183,982,298,503,241,586,875,201,844,979,255,140,694,789,221,708,157,231,475,556,825,236,601,474,618,69,703,0,812,762,289,977,321,609,180,642,6,732,13,501,115,769,896,849,649,887,346,916,469,163,805,77,688,652,772,570,220,489,370,111,333,445,436,807,669,145,751,799,62,336,872,505,788,94,832,534,253,246,417,856,300,762,496,58,291,301,907,472,52,676,673,899,960,519,969,662,89,420,707,599,268,364,458,16,902,704,963,266,4,768,627,545,23,873,82,669,454,941,275,922,223,636,582,999,304,780,55,151,953,927,189,633,535,429,975,255,147,894,904,238,177,883,650,952,462,828,612,287,598,481,939,752,186,976,325,632,459,808,822,354,881,138,555,528,512,429,433,561,519,84,372,62,522,364,530,27,578,400,51,326,636,885,376,648,343,807,477,182,736,793,128,694,406,972,297,721,553,708,204,44,39,980,551,56,847,344,458,155,733,812,892,295,897,999,193,384,499,343,395,570,246,295,983,766,315,918,70,850,382,137,590,632,581,17,985,919,299,115,157,645,970,127,995,588,474,120,994,617,839,809,385,872,302,109,538,533,103,908,676,706,227,209,914,300,77,222,757,847,133,879,935,361,524,360,88,279,957,633,12,935,994,692,513,199,613,746,872,171,315,983,506,755,802,706,535,490,71,478,743,472,136,172,259,451,821,742,528,849,225,802,378,61,485,189,607,297,112,28,231,941,93,727,125,35,141,219,320,79,524,63,781,914,787,856,295,116,865,243,203,14,242,497,353,423,870,219,603,654,452,85,96,411,885,236,412,438,668,85,538,604,369,311,633,811,962,104,882,291,582,44,190,815,329,500,134,350,225,248,609,606,560,602,246,4,590,579,902,578,234,999,623,721,563,393,411,6,643,667,395,81,42,708,180,635,794,650,339,440}

7

Returns: 4700
{73,66,120,19,112,37,139,84,102,95,174,20,74,127,112,131,79,196,81,103,144,101,85,177,88,90,144,132,28,184,37,7,125,44,54,85,138,32,146,50,89,3,188,142,156,187,129,98,153,118,131,175,94,57,187,78,171,161,102,78,78,131,90,113,156,155,154,92,61,24,23,171,19,64,125,146,69,97,185,9,134,25,143,24,32,65,21,46,64,194,208,88,150,75,40,22,58,48,118,112,196,173,24,177,95,63,125,80,123,190,66,12,34,20,88,85,785,71,20,19,132,136,178,104,118,111,7,80,89,7,66,36,62,131,19,163,62,111,189,10,69,32,162,42,23,58,107,140,53,7,118,138,187,157,124,176,84,153,81,8,100,153,101,180,199,54,198,1,46,96,155,67,80,89,87,167,128,37,50,93,133,141,25,81,171,146,157,122,3,128,154,105,176,17,62,35,97,102,166,173,47,12,133,55,74,661,123,95,158,19,120,125,40,7,120,15,10,104,84,197,158,68,108,167,19,31,9,114,115,147,93,480,55,106,130,11,82,10,56,36,104,46,47,93,35,121,53,160,180,39,41,8,191,8,192,122,118,188,143,195,161,54,10,120,51,119,145,194,129,78,165,5,186,103,25,153,23,57,33,36,193,104,112,190,19,127,8,127,163,90,124,34,129,100,183,20,184,135,64,36,133,63,67,152,133,17,92,22,127,19,178,83,142,54,101,20,185,98,181,187,76,182,85,99,20,147,49,100,150,148,29,172,643,195,107,80,113,144,943,122,85,60,134,92,68,52,57,710,159,8,15,196,76,21,108,185,26,134,69,44,62,166,80,66,83,34,44,32,194,147,60,34,99,8,98,144,172,70,50,41,52,144,41,151,38,86,198,111,181,35,178,28,87,46,138,146,80,44,35,157,79,17,144,13,50,45,190,61,171,181,112,110,200,68,65,130,95,199,8,52,113,38,54,13,168,58,79,148,87,72,184,12,132,197,155,140,21,105,17,78,122,200,170,156,81,11,47,127,147,62,127,197,176,148,130,6,134,75,11,8,130,122,114,153,107,30,146,156,139,168,77,47,977,58,103,42,195,102,173,32,156,179,7,55,127,62,60,107,50,123,648,80,68,152,25,58,55,59,125,59,35,123,80,99,3,81,45,23,17,199,196,55,39,170,62,165,44,196,133,58,18,115,159,39,8,186,170,83,164,129,43,16,66,82,161,138,31,19,34,7,44,75,170,122,122,95,82,112,177,17,108,162,32,61,65,114,176,21,113,153,73,126,96,62,163,190,9,149,178,156,176,94,149,49,181,41,76,200,130,68,40,6,126,126,123,161,129,146,61,155,29,193,165,69,140,45,32,129,151,197,151,82,199,195,35,408,29,176,107,152,129,79,134,161,5,42,135,64,151,20,120,125,109,15,38,166,49,8,166,118,92,184,116,189,65,31,153,84,21,77,135,174,64,54,115,175,42,119,10,193,38,143,139,85,3,19,54,161,796,167,106,99,161,7,114,198,722,112,10,168,196,38,170,156,79,120,108,164,101,199,102,35,85,17,52,150,145,84,154,165,121,195,6,119,184,74,50,91,368,100,38,939,95,109,194,106,147,184,187,184,22,185,9,26,156,21,135,185,16,186,165,92,146,50,70,162,70,16,7,70,162,57,13,164,141,139,34,42,122,195,124,138,149,86,1,42,144,66,176,180,182,75,54,5,55,72,107,107,145,16,91,48,22,1,21,140,32,134,188,193,20,191,164,127,43,141,164,166,150,51,98,190,170,177,60,62,23,134,100,76,99,197,390,53,136,139,63,137,176,164,33,118,71,69,13,175,199,71,96,52,141,167,86,44,137,105,44,158,57,144,129,169,200,198,198,120,131,79,159,164,125,52,119,178,61,127,175,40,64,134,179,96,186,27,168,196,41,200,37,168,170,40,68,122,189,71,66,195,156,129,59,29,111,56,96,155,163,181,176,37,185,130,18,87,68,10,111,49,108,17,86,79,117,79,103,164,131,167,24,51,64,108,74,76,178,69,190,47,173,44,154,97,10,5,127,136,92,104,187,96,23,981,119,161,23,49,128,132,100,8,94,674,186,66,157,148,32,127,9,133,35,191,177,148,31,3,173,108,161,122,157,154,63,79,29,173,110,59,127,102,24,181,151,168,105,39,16,151,192,184,140,123,125,34,119,82,132,17,44,176,60,152,115,157,96,121,571,198,131,28,21,87,159,29,114,677,164,86,10,11,177,20,134,143,56,84,151,146,181,2}

{562,795,32,503,248,602,940,14,186,272,997,874,12,203,31,271,319,232,739,95,907,599,533,497,764,968,425,251,102,666,875,37,833,29,410,463,409,564,937,199,1,503,457,983,492,428,197,750,421,464,75,588,344,81,72,520,83,286,78,247,444,942,322,397,327,499,336,62,150,849,134,287,775,659,337,778,191,678,271,102,853,440,690,409,721,4,146,883,821,157,981,872,612,739,316,244,994,879,390,840,164,496,942,887,422,426,484,358,12,930,477,630,58,536,585,529,765,173,731,364,940,490,982,883,499,91,985,324,37,338,598,282,588,310,476,527,489,663,783,754,459,122,395,985,497,462,846,400,616,98,51,730,429,798,763,645,765,734,622,215,156,321,379,783,498,138,690,666,273,989,222,12,120,737,353,939,236,856,180,762,734,773,4,886,933,499,199,166,640,993,596,240,940,175,469,497,742,534,787,410,490,981,230,763,718,274,671,27,752,679,383,151,888,622,530,850,308,592,748,895,691,30,357,771,585,516,882,68,978,209,982,651,275,442,360,754,675,338,926,464,438,875,773,35,773,812,528,458,434,989,149,837,935,438,460,151,512,910,83,907,952,604,740,732,785,244,925,738,673,64,185,31,708,723,478,747,787,695,186,799,66,562,239,745,175,333,324,10,53,507,457,700,47,492,912,518,647,42,253,58,520,978,568,514,409,264,186,317,824,816,883,875,654,197,591,860,546,903,425,72,327,390,734,74,549,693,345,127,227,308,272,732,97,573,785,575,853,977,367,375,141,30,985,836,592,888,520,969,939,489,595,263,34,935,397,723,74,872,974,366,523,610,571,678,620,873,93,527,241,73,777,840,891,685,301,830,481,805,959,291,211,475,870,490,903,205,911,802,860,670,911,99,813,414,227,115,397,680,212,750,997,536,643,182,297,408,401,259,645,315,513,74,82,339,912,934,274,882,794,721,519,549,336,294,721,534,810,362,898,524,769,994,820,213,812,492,190,512,638,290,922,156,295,338,288,796,368,183,147,886,631,42,191,453,776,73,882,354,585,46,382,471,402,533,783,117,134,819,76,378,331,267,432,260,785,796,912,49,57,357,631,668,362,630,166,896,505,1,991,260,952,906,453,91,469,72,38,461,935,296,251,205,629,462,631,649,42,411,530,247,553,516,800,989,120,666,733,49,534,284,596,518,471,331,527,291,73,98,529,95,528,242,261,869,203,643,975,911,835,923,974,679,642,820,663,826,923,70,196,822,997,596,702,161,115,489,324,29,582,787,922,327,675,756,888,493,26,611,763,139,288,579,342,385,711,178,329,155,329,491,871,736,205,627,980,11,609,263,879,265,285,992,291,837,825,477,833,323,742,48}

{7,962,378,674,380,247,556,181,720,794,755,996,572,416,507,716,377,69,302,130,819,689,644,413,578,230,301,920,614,701,87,598,334,937,699,224,111,844,322,669,639,119,448,483,626,448,930,254,719,980,659,548,571,372,463,269,109,578,884,808,799,11,160,738,594,970,241,820,539,214,297,948,554,435,400,8,636,539,755,180,510,526,830,565,629,255,266,591,733,607,857,928,177,990,640,233,356,106,170,718,428,990,988,487,674,250,960,693,880,424,593,542,730,934,759,683,606,623,581,811,723,192,387,852,130,615,921,92,726,321,608,161,454,944,204,950,762,813,245,623,334,586,590,472,214,506,850,650,382,156,256,695,548,135,689,106,686,948,588,104,951,51,551,148,125,574,293,845,914,922,250,234,326,809,15,799,614,916,555,918,879,378,125,623,586,476,372,218,606,673,771,321,217,876,597,710,238,540,677,655,698,795,154,157,351,993,171,329,56,272,918,103,118,213,849,245,354,117,395,322,494,474,580,823,442,309,85,158,418,567,233,766,248,189,80,841,876,2,988,24,676,297,963,502,856,252,229,749,377,599,786,665,559,29,758,483,126,129,928,863,184,930,660,415,169,664,726,200,426,308,577,10,970,569,920,104,637,201,416,111,35,236,766,206,157,607,224,998,284,470,201,687,480,617,51,907,593,415,670,190,737,764,857,857,105,708,559,738,775,758,59,654,220,55,686,598,566,752,884,633,335,256,413,937,57,918,326,900,858,393,510,916,740,56,133,395,407,383,386,160,782,38,500,874,936,778,715,986,94,1,569,850,142,633,700,376,365,136,293,355,782,418,667,948,953,600,871,776,524,691,674,262,672,643,909,958,916,913,32,167,687,432,462,145,974,605,955,967,368,828,90,686,858,264,884,897,847,936,894,890,496,82,670,337,673,106,480,708,758,214,234,179,566,644,332,603,281,510,387,951,848,947,204,47,393,171,75,204,642,364,697,699,947,211,586,441,624,339,483,273,650,949,961,976,284,541,319,950,667,958,246,287,412,782,566,495,168,251,765,454,229,96,759,298,176,715,951,516,310,741,305,163,435,364,58,984,116,770,309,55,15,727,229,326,900,885,15,25,262,355,250,70,467,160,231,209,577,354,147,960,766,792,11,129,171,900,266,28,603,66,599,255,594,265,724,658,130,150,832,895,64,646,650,634,312,990,98,910,691,7,166,880,827,188,177,764,996,347,718,9,115,112,813,614,168,184,816,963,277,7,131,109,427,519,386,348,697,232,547,38,226,290,649,774,864,971,260,569,947,103,135,759,126,815,954,811,481,709,897,769,439,377,745,314,67,398,435,856,281,216,113,943,751,986,111,667,562,946,246,481}

7

Returns: 9509
{68,73,52,133,197,10,196,112,44,174,166,105,126,149,90,129,91,181,123,150,197,63,26,161,13,467,145,156,66,93,142,19,2,70,172,93,17,60,197,184,156,46,167,173,41,198,36,174,72,50,55,115,168,150,25,18,111,103,8,32,185,79,169,8,273,127,122,52,126,318,185,161,150,64,113,138,681,200,161,156,148,132,136,185,671,160,158,2,25,13,2,149,89,18,686,154,7,132,118,144,72,28,32,13,26,18,145,182,146,71,60,2,44,13,142,73,144,70,93,85,179,131,212,97,160,190,172,53,39,160,58,53,175,19,145,32,74,53,107,180,38,172,163,62,57,151,157,171,60,126,6,172,52,53,49,139,175,172,90,175,63,186,23,81,161,90,53,141,180,143,62,15,149,90,127,81,134,185,54,174,67,68,114,120,190,34,14,60,68,82,12,147,176,32,121,170,379,58,143,69,144,167,82,124,78,200,596,21,89,96,13,133,42,110,157,61,83,190,35,62,1,67,146,9,36,170,35,180,113,81,14,91,42,164,575,168,163,154,186,72,175,754,7,81,14,82,60,11,192,28,145,12,128,197,7,32,112,193,87,138,11,24,197,46,74,158,20,123,97,15,153,26,63,88,138,49,166,58,649,81,110,98,65,155,99,23,162,145,18,115,84,123,58,69,150,162,71,24,393,124,8,177,78,5,95,65,48,37,43,95,14,2,613,98,47,162,80,176,60,18,44,640,86,162,195,95,41,191,113,1,145,4,196,137,162,152,156,99,104,85,196,17,50,128,399,39,110,60,93,141,136,183,77,125,89,196,166,197,162,84,136,181,172,22,90,73,180,96,69,194,190,41,176,116,54,97,180,187,5,52,189,157,107,133,197,53,8,139,167,182,135,121,150,154,7,99,70,147,68,169,157,59,17,159,64,165,133,121,50,130,18,328,50,3,35,12,89,27,13,128,19,107,42,39,62,61,59,155,10,130,2,74,143,88,149,149,109,167,2,175,625,192,93,10,200,38,2,185,81,61,186,28,118,72,90,37,96,145,236,974,181,52,78,152,1,321,100,53,6,122,136,99,133,50,82,40,25,11,36,14,198,159,70,34,47,3,70,43,154,148,142,4,198,35,198,171,59,110,18,992}

{474,457,208,180,378,36,423,183,36,462,168,38,16,181,327,7,223,496,351,387,31,12,422,252,203,432,243,174,437,92,352,404,459,197,498,485,273,396,388,263,231,189,488,188,126,237,306,318,350,416,496,195,56,23,217,145,102,130,427,364,306,403,102,422,1,353,132,107,284,368,238,176,39,279,375,130,259,274,486,60,187,63,381,413,435,369,157,129,410,485,398,346,239,12,448,236,290,37,107,251,8,131,85,98,23,398,312,356,282,359,28,475,34,163,266,53,181,142,76,377,458,202,466,178,249,366,417,354,228,81,354,388,209,428,292,458,499,448,319,351,176,81,46,211,143,237,414,207,126,159,355,161,198,457,211,437,477,491,232,238,177,365,226,493,409,189,30,481,281,453,428,109,364,151,220,41,193,205,50,33,83,416,176,1,434,139,499,179,138,166,130,76,167,491,496,174,450,174,265,303,232,61,257,18,409,227,80,302,217,50,264,101,323,158,394,240,499,185,209,281,144,220,242,424,436,189,263,23,283,393,111,164,319,67,34,492,296,19,169,185,327,444,289,66,407,270,325,121,125,245,345,3,143,38,492,82,332,99,0,166,197,0,18,215,472,160,491,389,309,173,441,288,117,109,305,78,268,105,193,168,251,30,493,35,180,438,70,259,136,41,58,286,486,355,148,62,235,255,458,353,400,484,83,71,426,324,396,446,341,141,90,16,135,329,277,205,468,131,346,237,168,135,279,439,256,253,448,6,248,488,163,403,221,282,370,151,299,356,75,420,335,236,381,78,335,17,117,118,443,497,317,170,474,352,61,75,478,75,150,150,35,437,495,24,145,459,212,19,164,490,366,162,60,335,239,50,468,2,421,173,481,484,60,112,53,103,348,354,111,337,419,455,396,305,406,347,487,339,179,225,39,42,167,66,48,248,468,265,316,367,460,105,135,261,222,3,422,399,28,397,0,154,301,272,328,162,17,148,388,104,236,125,459,89,242,417,238,284,352,420,481,313,402,208,161,497,480,231,222,18,327,431,145,304,163,495,416,366,108,118,46,302,304,379,195,424,99,215,444,203,247,71,281,148,307,476,208,6,245,187,315,292,299,246,290,175,159,482,61,462,53,452,194,7,159,439,413,177,133,462,227,28,24,242,435,487,449,312,129,136,454,275,362,483,125,318,96,319,296,283,489,49,305,277,215,5,273,456,171,104,105,345,246,383,304,151,486,81,95,291,88,497,340,317,457,346,339,475,318,235,400,112,34,334,136,193,209,67,255,336,12,301,418,102,324,312,429,247,414,92,475,418,156,55,269,490,394,415,283,22,302,271,360,493,76,217,492,341,129,62,144,488,147,190,273,407,171,67,194,177}

{186,216,10,257,311,111,65,464,376,120,382,55,27,14,415,392,140,101,20,92,110,334,192,26,4,391,478,216,494,42,98,467,278,483,48,404,261,332,187,56,47,110,149,445,3,199,172,289,461,325,47,239,155,427,25,245,337,334,376,231,454,355,393,406,261,233,210,44,386,471,315,202,30,169,11,57,180,309,63,384,182,110,311,58,348,70,4,114,483,99,103,384,218,472,114,362,155,433,233,314,453,429,152,423,374,386,59,249,175,202,412,252,119,249,93,263,466,361,399,195,444,139,412,54,330,410,330,93,443,358,450,301,240,395,158,84,64,90,295,467,373,430,419,479,368,324,328,184,204,214,19,414,220,96,286,385,200,114,26,146,390,26,55,381,192,350,310,340,198,360,332,436,35,244,311,158,82,7,108,186,204,380,186,119,175,32,440,451,375,44,295,196,307,119,266,464,250,66,296,42,408,147,72,106,269,224,48,90,321,166,262,244,184,21,293,267,234,9,480,228,372,316,350,164,467,456,433,65,77,15,343,333,219,400,39,113,482,173,461,65,412,86,436,443,260,146,213,392,91,391,266,54,40,267,477,258,293,255,342,451,454,313,247,190,140,262,270,250,336,223,456,398,317,73,69,347,254,126,113,104,254,27,274,442,479,445,133,463,450,74,107,205,142,132,124,389,52,207,411,89,132,226,336,20,480,144,445,244,446,86,194,32,303,447,498,49,439,190,123,71,37,395,230,74,14,455,485,329,225,377,484,415,87,347,2,410,418,275,363,293,401,10,160,156,181,43,225,85,15,200,297,250,192,282,73,37,100,430,40,348,391,203,358,89,222,182,380,256,229,13,171,221,323,343,100,429,291,424,408,368,276,41,216,68,68,331,343,201,353,87,212,406,22,465,330,322,339,211,432,49,401,115,482,363,280,451,397,29,93,446,156,432,461,392,328,277,169,315,300,373,268,46,268,476,360,385,262,472,394,5,478,452,206,423,419,326,98,16,382,101,133,31,185,362,349,157,155,274,403,464,77,372,224,83,463,258,427,120,338,441,279,344,146,291,431,24,115,374,91,430,408,251,469,420,221,380,112,286,57,295,44,213,421,63,142,254,38,425,57,498,218,5,434,210,183,56,2,108,297,27,393,226,363,476,207,390,299,243,463,383,73,466,240,214,31,280,495,369,191,358,153,40,94,228,477,182,149,86,374,345,212,82,140,313,307,91,219,417,372,331,15,197,183,494,284,471,74,17,36,157,9,79,490,45,425,449,351,303,134,160,95,4,201,147,494,405,389,106,275,103,270,229,385,72,287,77,87,43,14,252,122,401,338,200,298,241,269,390,95,68,218,13,435,425,409,340,280,470,201,178}

7

Returns: 7694
{161,27,83,159,370,116,112,74,251,79,36,174,487,27,72,101,70,23,238,176,108,116,86,65,47,46,46,50,144,34,47,926,1,125,171,161,176,171,9,126,92,121,33,118,49,88,154,11,139,157,124,60,161,111,187,98,17,168,2,100,54,29,137,16,131,182,82,23,122,126,33,184,118,124,84,96,167,91,35,114,175,94,142,77,24,19,101,167,58,164,62,30,27,68,40,83,84,165,58,111,34,25,108,160,417,176,176,167,5,37,191,92,78,62,184,104,185,57,148,79,11,193,146,187,561,8,128,19,94,99,152,506,138,47,130,6,99,143,151,126,168,192,130,48,8,150,3,130,171,189,200,186,1,197,89,52,109,159,140,176,73,200,118,99,71,667,109,33,35,424,119,118,8,46,43,172,26,164,152,94,12,167,3,49,93,817,94,37,62,160,148,128,191,7,124,120,37,72,151,11,42,163,153,122,126,198,11,44,180,145,154,87,136,141,580,158,90,25,2,101,100,122,96,11,157,66,8,72,71,58,49,64,170,781,175,89,151,38,71,158,179,16,171,93,121,649,23,55,143,160,10,182,83,6,88,173,70,165,111,3,89,71,2,178,59,79,133,163,83,28,96,132,28,185,122,62,153,70,69,96,52,7,126,89,187,29,82,101,176,144,168,90,701,77,197,67,114,55,178,126}

{295,217,71,105,136,175,125,83,195,130,204,150,151,222,67,256,103,265,189,102,229,51,36,74,165,266,55,290,130,228,206,119,137,136,13,173,92,269,121,282,170,190,196,216,186,247,85,174,207,110,238,212,260,229,108,86,201,90,273,281,221,36,27,13,226,56,70,3,54,33,7,289,255,99,199,111,182,44,65,299,228,43,178,122,142,174,194,125,20,143,154,119,201,267,16,228,22,179,205,99,166,244,186,48,51,2,250,45,54,165,172,70,263,170,194,95,34,252,248,211,247,277,9,83,126,240,19,282,132,166,195,182,160,200,132,264,70,235,34,68,273,62,175,184,66,20,127,110,18,38,137,156,10,204,245,127,168,161,35,153,142,231,46,260,40,266,154,48,222,28,278,35,271,239,229,1,216,62,122,87,132,78,56,284,162,144,35,14,220,281,120,121,18,282,48,260,89,74,143,108,42,126,56,235,211,158,264,270,32,27,209,179,78,14,183,60,100,33,289,16,286,177,206,136,205,32,139,296,32,142,186,230,206,47,271,297,61,172,275,24,199,230,74,51,150,220,80,170,190,128,18,73,291,9,265,200,61,19,263,13,61,289,129,240,47,66,94,111,144,20,122,281,295,177,84,24,280,103,196,117,179,165,43,83,270,69,205,223,38,102,144,209,173,103,87,193,294,135,49,105,11,284,242,27,99,130,298,267,238,278,126,49,294,269,98,39,2,78,95,287,285,65,183,203,216,55,245,85,112,46,58,298,39,269,272,36,118,127,148,119,141,222,140,299,287,110,287,253,278,290,64,65,171,49,139,9,11,88,271,193,240,195,116,88,24,10,139,196,67,221,92,284,164,82,156,50,1,129,212,155,87,249,92,254,207,88,225,202,166,167,223,245,0,39,184,189,294,293,253,227,7,63,141,84,203,224,296,128,183,85,223,52,84,22,276,298,95,253,94,97,128,108,189,220,230,258,275,120,140,270,184,283,277,141,290}

{224,115,152,113,213,46,134,114,266,75,155,181,279,197,249,225,133,106,234,100,275,239,79,194,291,77,15,161,100,23,109,192,25,107,201,276,33,218,109,25,16,198,232,52,162,71,243,163,160,135,182,125,73,43,4,283,180,250,249,76,26,30,258,181,238,152,112,72,276,226,82,202,218,107,53,67,213,60,200,63,156,175,75,202,244,102,145,236,197,50,264,150,52,69,234,3,286,21,86,91,197,101,279,134,135,293,80,209,285,31,162,225,236,256,28,42,89,93,192,246,257,168,212,164,40,244,261,117,174,259,252,23,219,105,98,147,40,91,297,279,277,19,181,138,176,54,59,291,262,123,42,81,198,157,214,79,29,178,77,171,90,261,248,10,210,73,237,90,187,283,1,268,134,96,188,255,14,268,248,273,168,96,118,106,93,243,210,17,199,215,267,263,6,62,57,77,72,297,280,185,176,177,58,11,41,57,146,133,45,44,64,101,280,217,288,241,115,288,293,192,94,149,204,227,116,215,163,231,173,91,93,219,160,113,187,251,151,137,203,38,158,188,2,159,107,69,246,138,60,261,5,29,64,63,224,274,117,257,237,296,190,272,148,68,71,159,180,96,34,123,81,242,155,217,15,59,208,97,251,114,251,292,55,45,37,82,101,123,295,153,208,149,171,21,274,26,149,234,231,210,53,138,288,161,243,172,146,286,167,29,167,129,68,235,157,50,0,30,58,59,247,98,232,116,265,7,169,226,208,145,72,193,207,259,26,0,152,268,211,213,8,256,57,121,104,148,124,120,154,241,133,157,53,299,146,47,89,239,66,178,37,215,198,118,255,241,37,76,114,17,163,113,30,237,21,86,115,250,191,109,221,153,232,191,187,254,258,25,218,219,252,131,79,23,143,147,246,159,151,236,147,15,111,76,274,158,140,145,3,164,81,257,176,285,41,97,180,259,17,242,191,12,106,254,227,75,28,22,44,188,272,41,80,233,112}

7

Returns: 6486
{156,123,200,160,53,187,97,132,45,124,112,992,3,15,48,66,34,117,183,104,194,164,133,184,178,146,101,53,111,66,90,133,99,143,69,50,132,176,719,189,120,69,59,51,225,607,112,95,53,400,18,40,124,185,92,127,174,156,4,91,182,58,26,71,39,200,28,912,141,111,45,107,135,27,604,66,161,128,124,164,110,118,100,48,71,117,62,164,158,164,14,83,50,88,119,86,15,168,46,56,4,96,20,153,717,48,196,161,54,75,14,114,191,21,1,85,23,2,151,132,197,73,54,167,63,158,86,97,121,163,162,182,5,114,173,192,57,36,63,74,66,171,181,72,49,95,270,50,154,156,116,11,139,118,142,109,58,25,10,91,174,92,149,34,162,165,179,171,39,40,179,120,104,5,60,68,85,184,69,194,143,87,39,46,155,154,186,111,134,120,73,131,80,133,87,2,166,93,126,33,64,194,157,193,90,166,25,155,41,135,1,84,18,104,199,126,43,120,170,128,171,16,12,20,96,162,81,151,39,35,24,32,166,18,109,8,91,40,79,269,167,131,17,29,188,124,100,199,1,14,148,94,200,194,166,57,74,84,153,25,158,89,19,145,37,163,198,87,173,12,79,130,30,46,29,134,70,184,102,139,77,173,104,70,195,22,11,75,104,12,153,4,126,109,99,304,183,51,164,599,40,52,10,153,24,111,97,78,121,24,151,14,133,113,63,25,140,24,83,22,200,459,85,99,31,52,172,62,83,166,465,466,111,50,102,31,184,149,74,194,36,69,92,155,695,178,123,16,99,52,174,79,121,118,9,754,16,119,101,44,2,131,8,55,62,8,149,147,41,194,18,54,115,81,153,169,84,70,21,94,168,22,58,161,60,151,246,135,114,102,89,38,122,152,124,152,187,117,37,157}

{158,178,162,131,250,230,292,179,252,176,292,38,368,293,360,313,178,38,4,61,364,52,233,280,391,110,232,133,5,236,100,111,102,2,207,148,201,2,204,162,98,242,138,307,78,77,90,210,82,202,73,278,48,306,83,194,177,183,299,297,165,377,31,20,108,128,171,101,21,147,184,29,64,109,71,243,345,397,31,187,150,182,390,285,203,35,12,247,171,3,8,398,53,100,258,196,107,48,229,111,239,359,168,170,14,37,300,214,240,244,363,200,151,218,149,381,197,92,259,223,36,362,32,357,87,116,216,194,314,84,218,140,252,312,33,174,55,149,319,77,249,389,264,375,268,232,57,43,280,288,41,27,257,198,255,41,378,84,208,224,251,249,13,180,198,210,239,182,251,272,159,234,164,394,207,394,275,241,158,346,101,16,218,128,387,15,369,183,18,293,179,290,180,156,261,340,21,206,228,298,142,374,390,381,196,398,121,237,88,85,63,239,158,311,399,193,53,136,42,6,245,263,387,339,155,305,38,381,351,305,298,300,368,133,14,208,41,264,140,63,216,291,220,169,138,168,360,238,232,149,142,84,72,75,6,73,265,285,341,307,288,263,205,392,319,361,18,303,336,87,152,222,112,30,372,177,380,217,248,343,30,221,166,5,172,266,290,33,102,391,204,275,130,78,194,142,159,71,377,244,50,96,66,15,233,87,60,338,359,250,198,286,278,117,108,302,269,115,227,70,138,42,324,287,52,321,210,17,332,174,394,26,202,305,127,334,393,321,46,61,237,128,228,317,25,127,117,168,141,361,321,236,363,392,79,155,349,89,98,241,287,170,48,273,230,77,180,22,291,329,265,273,172,22,267,357,259,372,291,188,253,190,248,13,191,393,221,91,299,358,81,176,282,109,163,12,184,299,274,33,51,70,388,348,220,251,2,82,176,286,28,207,397,37,360,185,93,25,26,124,349,358,83,336,323,122,60,241,114,249,155,370,75,10,52,302,397,88,329,126,373,106,98,10,27,152,362,242,221,54,35,371,391,32,307,17,200,351,12,131,122,235,196,72,261,316,108,147,55,231,375,187,182,319,42,85,347,324,130,387,287,267,201,267,242,107,116,145,338,340,208,245,15,20,352,115,4,110,92,220,171,271,265,107,150,184,312,268,136,125,371,35,135,300,280,282,398,139,61,303,10,79,150,126,368,310,9,288,293,6,272,204,4,263,179,140,66,120,247,233,364,314,172,170,327,377,133,21,284,298,206,16,205,216,246,64,222,18,329,259,54,25,278,255,248,250,332,311,376,111,351,177,252,136,116,190,335,29}

{86,57,58,369,258,20,261,80,281,327,213,355,308,244,161,46,93,330,139,322,164,186,199,105,322,189,160,309,129,362,143,57,139,214,165,317,47,279,148,320,306,8,353,49,69,324,189,279,94,94,382,163,348,260,212,379,189,92,318,0,316,230,199,132,277,132,81,358,317,46,274,313,105,201,304,337,174,197,276,354,302,282,65,118,63,366,143,327,119,294,214,289,137,332,132,389,54,39,315,225,295,224,376,76,225,315,115,333,91,192,342,161,341,269,385,165,271,345,356,135,309,153,227,283,231,23,234,151,316,134,16,228,24,294,396,209,304,118,333,235,284,374,97,379,113,347,28,229,121,334,191,1,301,62,246,169,238,247,348,385,347,83,101,75,359,274,68,275,156,254,209,144,86,272,97,262,185,120,370,227,353,325,193,60,379,386,256,294,173,338,34,335,203,223,100,144,212,56,205,96,7,229,7,19,306,331,346,384,253,95,37,67,342,345,62,388,399,292,296,162,312,153,71,310,82,320,45,303,148,9,219,193,224,361,353,58,297,388,364,175,276,187,373,40,296,325,253,337,106,243,390,34,349,206,382,40,175,340,59,146,328,195,393,88,31,195,147,47,153,191,40,375,297,125,366,395,137,51,32,137,213,260,160,215,313,203,152,222,81,376,301,47,120,156,64,183,199,79,281,131,343,246,354,99,73,290,309,3,91,266,226,371,114,163,114,378,354,276,365,367,367,219,134,254,69,44,235,30,254,314,217,124,169,339,211,215,271,181,234,333,342,123,365,9,102,0,269,226,123,135,11,69,195,255,209,223,192,256,36,308,23,323,266,369,125,65,66,173,226,352,372,59,129,370,188,186,5,260,56,323,105,113,279,103,238,185,378,56,350,399,175,23,380,308,145,296,245,270,0,285,62,43,341,257,26,65,90,310,93,27,59,143,211,24,328,326,395,22,212,231,24,112,186,141,382,346,211,118,328,151,123,130,51,160,262,134,320,384,311,213,154,384,304,383,190,119,124,164,396,157,95,113,50,337,74,392,336,363,352,315,374,19,141,78,28,85,334,106,122,383,8,284,70,322,127,154,200,357,385,219,273,94,80,335,1,36,281,262,240,325,161,121,344,373,268,389,283,95,258,112,58,167,55,286,117,356,129,339,188,76,166,80,154,236,43,109,104,145,1,395,3,53,103,96,264,167,103,14,365,89,215,39,72,383,19,277,326,356,110,76,217,86,97,283,7,343,396,39,202,17,192,197,119,166,225,380,237,50,167,29,326,178,240,243,173,367,256,159,301,277,13,126,34,90,366,89,144,257}

7

Returns: 7075
{5,68,59,94,169,94,7,1,35,134,196,198,29,63,16,100,172,191,75,24,120,140,156,61,124,181,162,197,165,35,42,143,179,298,82,41,189,87,125,62,172,141,199,103,160,98,94,179,39,146,66,167,198,62,102,4,34,45,48,92,170,141,58,131,31,112,145,677,32,2,145,119,183,41,115,93,115,6,31,103,5,194,20,29,1,160,123,69,82,21,95,888,13,184,112,98,169,745,66,13,68,157,11,97,197,49,124,123,200,188,109,155,88,42,138,48,88,134,3,24,31,130,75,91,200,147,116,94,95,74,23,18,55,159,122,173,22,126,199,79,184,181,46,110,150,185,24,166,100,59,192,193,5,175,140,173,95,78,176,148,135,21,69,163,49,161,122,140,88,145,55,115,171,26,86,102,167,22,95,199,77,57,37,110,27,28,169,194,86,189,177,159,182,144,36,171,18,7,163,116,105,36,184,196,107,169,140,134,26,4,199,12,40,149,123,34,15,73,20,181,137,111,12,169,78,100,171,14,86,67,38,159,14,199,75,65,119,133,58,291,93,156,65,111,28,33,148,134,191,181,176,61,30,2,81,102,135,133,151,134,194,121,71,148,88,50,122,25,121,78,119,94,112,156,98,183,109,161,193,132,96,148,56,24,61,194,118,23,125,52,139,137,126,178,117,47,37,50,44,168,121,20,85,23,6,186,80,153,174,181,133,166,59,68,125,141,90,73,161,116,197,6,492,111,191,99,47,170,176,172,25,66,151,195,51,6,60,124,140,156,82,164,3,174,108,153,169,118,97,77,106,139,125,77,75,60,129,131,88,163,85,30,26,4,169,2,172,1,20,110,19,197,97,2,53,85,7,6,32,17,120,75,26,88,109,49,111,883,129,62,189,104,5,149,5,189,737,173,161,178,137,84,2,88,44,44,154,722,3,169,16,43,21,12,97,145,98,168,95,176,43,128,48,97,89,150,140,25,102,159,44,178,588,125,105,128,34,124,98,78,101,165,24,148,98,117,98,4,7,118,12,123,101,58,375,18,29,38,171,151,120,137,132,78,97,173,992,175,140,23,126,72,45,61,168,134,46,163,91,81,162,84,58,176,73,615,94,154,99,127,81,16,66,32,1,4,25,65,67,141,82,49,49,139,24,493,84,126,148,194,107,53,104,67,188,151,142,184,67,139,9,13,117,34,16,128,18,120,32,152,51,178,125,192,133,127,142,124,28,65,95,107,763,73,63,108,155,92,198,68,127,172,107,174,164,161,151,188,148,149,70,17,72,3,29,147,168,137,64,129,20,164,35,56,31,856,149,27,4,55,39,170,156,142,174,25,132,191,169,141,134,78,13,3,110,154,124,21,153,30}

{30,231,104,212,344,558,490,487,389,471,124,574,494,94,222,280,227,185,57,297,274,330,277,169,283,96,323,414,193,481,53,470,553,371,146,505,209,158,24,81,398,583,186,432,418,535,364,134,487,131,571,30,556,449,346,380,111,232,315,356,298,108,558,517,75,502,221,489,261,475,473,431,497,488,482,144,299,520,268,359,340,307,422,56,522,348,448,429,124,102,321,520,484,525,431,393,155,26,153,227,104,92,392,341,63,11,173,125,14,178,491,346,370,214,415,359,467,569,314,513,495,459,505,514,485,134,178,491,533,382,568,534,439,206,78,205,489,121,249,562,274,352,329,367,524,202,302,185,92,66,271,410,359,136,330,599,171,466,597,528,319,3,275,446,468,154,282,309,574,152,328,19,110,440,414,121,172,502,576,52,392,212,409,480,258,352,405,524,423,419,447,58,592,514,508,409,139,577,484,234,49,511,360,182,184,201,31,255,222,12,562,131,50,505,364,485,408,5,452,195,441,31,529,568,194,402,493,313,361,548,292,145,94,229,382,155,340,143,62,485,565,108,371,163,573,388,302,539,335,481,328,370,14,391,540,361,581,162,210,104,479,186,245,140,101,127,587,418,533,377,49,76,349,181,530,593,210,363,374,404,508,265,525,471,365,346,506,466,137,349,309,33,496,113,47,150,565,578,2,514,200,18,33,386,70,391,163,494,253,165,529,528,374,452,478,499,57,281,192,195,446,393,238,531,220,326,28,48,70,519,188,498,419,159,254,331,594,258,562,211,131,204,341,232,64,224,74,539,400,182,554,472,267,423,331,370,438,235,448,76,569,133,25,372,597,290,245,195,572,345,81,366,303,459,74,141,205,482,170,575,114,497,184,560,255,569,90,344,27,455,58,299,266,565,417,301,75,73,88,198,35,187,420,572,176,501,293,309,16,95,589,35,338,442,254,589,102,275,459,518,166,594,503,314,461,308,543,171,91,317,452,262,304,468,586,449,237,38,237,430,279,214,581,377,201,177,4,378,82,279,424,207,167,351,556,477,289,495,232,211,280,169,389,310,110,213,548,259,420,408,237,71,385,442,170,491,70,432,283,352,194,403,83,52,334,360,122,465,199,386,404,554,328,566,441,175,111,588,93,517,192,178,487,368,138,26,265,597,274,113,84,537,550,261,588,531,221,335,38,200,382,537,464,1,162,400,453,560,400,138,158,420,559,235,3,556,116,256,247,286,39,426,241,480,143,516,282,301,545,36,510,216,106,205,321,419,479,167,436,489,238,158,26,312,580,432,549,111,516,293,384,389,57,110,28,341,471,518,508,385,116,357,241,581,498,103,144,334,90,559,336,376,213,7,314,91,311,80,199,576,93,473,391,50,340,157,593,28,284,504,76,509,361,310,353,281,192,554,511,397,16,371,287,236,523,579,366,293,68,450,541,430,575,595,384,113,403,330,7,366,272,358,210,588,172,68,412,536,575,335,150,574,369,15,62,517,175,95,323,560,229,493,124,354,311,307,378,405,20,23,47,557,277,321,258,138,299,135,164,216,143,318,268,550,368,139,166,461,45,336,106,435,7,19,220,175,1,593,38,464,438,198,105,163,473,48,436,201,326,290,426,381,430,14,543,570,531,64,51,123,140,267,65,494,535,249,84,66,482,162,224,334,193,401,91,222,524,69,511,591,586,490,356,32,584,501,134,549,80,397,380,477,176,167,226,34,363,337,229,455,253,194,326,197,523,339,252,297,559,235,348,385,257,478,115,88,490,446,184,358,405,553,410,56,355,599,375,527,573,294,94,497,180,197,599,522,377,381,528,283,301,74,520,577,513,212,463,35,200,545,527,224,381,133,350,249,538,345,40,539,397,456,62,275,428,522,414,463,61,33,433,128,92,502,571,193,188,558,393,183,61,417,3,479,236,498,290,466,401,506,66,450,537,580,594,78,140,251,68,444,65,78,587,177,166,315,46,364,206,81,32,426,40,83,39,252,337,453,32,354,17,386,257,58,357,284}

{171,8,9,338,525,109,211,445,135,483,96,510,561,595,87,263,298,378,362,388,135,86,379,425,241,86,519,50,49,218,434,164,114,579,476,2,578,19,250,285,128,11,304,253,129,196,281,129,295,570,13,379,147,121,535,320,424,123,365,277,416,242,342,270,526,570,46,266,484,483,269,375,416,13,402,77,327,247,161,553,164,217,112,20,27,18,289,136,392,55,186,31,555,160,547,368,262,213,369,312,523,24,168,591,260,567,59,217,189,316,71,571,174,109,219,418,228,266,296,428,287,304,240,279,384,276,483,247,234,173,474,190,117,231,12,6,170,278,126,105,236,261,458,551,294,37,136,458,547,413,504,533,148,151,469,329,507,239,486,583,264,315,185,439,125,159,447,375,457,85,536,267,596,445,271,457,354,423,413,295,476,540,248,358,587,343,285,155,474,469,595,345,2,510,296,25,288,93,137,425,10,180,85,369,77,317,399,128,203,401,41,584,546,67,442,407,412,451,82,342,458,325,42,503,88,512,456,411,282,271,120,339,244,329,557,521,214,460,260,97,518,296,117,199,29,73,288,105,157,259,470,264,513,351,8,288,149,287,189,119,347,165,145,353,44,443,202,413,13,46,196,130,169,285,544,36,348,286,208,269,332,496,598,251,394,530,291,322,22,278,578,462,230,100,327,77,112,440,337,69,27,148,576,75,516,55,323,189,152,551,123,1,191,439,561,53,351,496,60,101,174,30,577,9,142,130,319,260,153,54,530,421,395,225,568,157,501,338,557,107,464,225,415,355,12,45,435,133,367,552,87,332,544,433,207,566,596,40,251,39,310,538,526,208,107,549,29,230,43,563,404,11,219,168,242,440,534,325,592,387,499,388,545,376,306,300,398,183,44,460,256,257,512,552,515,436,343,187,45,437,548,156,139,250,10,102,179,300,64,250,147,307,0,312,527,89,488,246,475,412,219,324,573,117,63,132,246,147,590,512,476,223,149,585,475,333,243,59,122,96,457,159,585,126,9,179,472,127,89,268,292,179,492,0,450,500,151,160,416,21,503,29,137,294,206,243,17,347,507,276,44,242,500,209,472,469,417,532,583,231,453,584,5,79,555,120,223,582,425,191,141,357,320,305,118,367,218,101,451,308,34,564,132,596,4,154,504,42,295,176,349,344,303,408,48,567,36,154,174,582,42,23,455,106,165,435,291,509,521,580,298,72,6,243,100,355,207,362,486,292,481,544,411,54,263,6,564,172,37,339,589,493,202,592,521,303,406,495,327,561,555,173,324,118,543,396,598,100,395,53,22,333,331,306,47,443,22,380,353,43,273,540,500,270,226,273,541,427,373,461,433,347,4,480,563,454,499,552,318,429,71,20,99,10,506,115,308,320,127,550,208,437,228,284,244,280,379,563,152,529,181,153,203,410,468,116,54,223,297,25,108,56,422,567,227,168,394,451,270,474,460,180,109,477,130,248,515,424,98,350,233,61,551,34,591,120,181,51,245,255,119,126,305,383,103,238,278,467,41,399,145,149,492,598,248,291,444,89,60,360,196,215,488,333,509,507,566,24,161,132,515,161,411,103,406,142,486,63,519,156,272,362,395,18,265,272,289,383,264,21,72,383,422,220,325,286,546,350,87,203,246,564,60,313,129,233,23,317,421,144,217,269,273,187,122,226,572,37,363,55,437,456,141,182,230,374,373,336,17,83,85,69,316,463,234,421,142,221,585,146,115,118,107,177,390,225,300,582,72,409,434,429,21,443,305,376,586,536,373,79,541,356,276,526,438,80,218,5,316,252,302,146,8,415,449,119,215,73,190,15,434,99,467,441,197,256,204,403,427,160,427,0,478,183,148,372,390,151,114,465,244,444,95,52,406,204,365,398,15,542,492,233,262,43,59,311,259,547,254,79,579,534,191,16,82,112,399,188,342,306,447,343,150,431,86,324,402,390,394,215,263,198,99,65,318,84,51,228,470,465,313,209,428,332,125,90,538,372,216,319,546,41,190,445,156,448}

7

Returns: 9402
{192,177,99,139,111,194,73,188,95,189,50,144,92,44,161,100,75,2,47,66,172,131,60,151,132,152,116,104,124,173,105,117,161,88,18,113,144,87,128,159,151,127,57,13,131,29,179,57,53,2,62,108,167,10,156,154,189,72,94,184,132,107,72,92,94,175,195,7,177,140,161,53,123,127,981,138,166,109,3,7,117,194,52,86,70,2,79,129,72,120,53,177,132,23,142,168,182,181,150,33,200,94,183,42,4,114,117,167,200,33,29,43,90,21,181,70,39,186,186,70,104,83,147,79,71,177,67,175,68,28,179,124,48,142,115,147,149,120,93,96,730,188,176,86,182,44,146,124,145,197,172,99,39,145,27,132,64,42,140,54,83,84,29,195,50,177,114,103,182,133,10,23,175,112,86,147,50,195,166,138,134,27,74,54,162,137,6,26,120,161,62,9,90,6,143,150,50,111,114,55,162,125,173,16,105,58,198,162,17,11,186,151,191,151,13,81,172,15,17,125,51,148,107,10,123,89,187,193,171,46,94,18,111,156,73,133,65,109,88,94,38,154,19,156,1,30,102,23,67,154,125,96,147,75,91,186,138,163,113,111,193,186,8,149,42,155,4,162,186,193,53,125,45,192,187,178,16,4,93,108,4,466,132,60,115,10,62,85,183,21,115,47,91,97,18,184,111,160,133,4,174,42,44,39,68,25,120,182,176,99,130,117,157,190,37,106,77,89,24,116,57,91,97,94,26,48,190,80,97,35,72,197,198,110,133,55,40,62,162,131,3,87,3,148,190,151,43,62,66,198,19,36,84,181,188,43,162,145,34,174,121,15,124,30,122,6,167,153,115,187,69,8,145,122,194,2,44,99,126,40,148,131,51,22,11,61,181,133,123,85,141,174,109,106,46,52,70,74,187,163,141,170,98,79,58,29,628,7,45,137,74,166,144,63,133,193,193,27,117,68,12,72,162,157,137,40,131,78,54,17,106,137,23,79,57,24,42,86,13,3,63,173,150,144,128,132,165,175,18,11,164,198,130,119,37,165,161,187,168,183,97,146,133,122,43,49,155,176,86,141,11,165,89,150,150,96,121,4,35,94,127,39,183,177,27,148,98,4,176,44,163,71,84,135,184,132,59,117,118,173,161,82,1,40,124,153,64,85,154,51,138,64,197,189,143,6,40,55,65,184,51,105,122,27,116,58,189,16,180,15,85,131,110,29,74,17,127,150,23,64,163,200,142,140,172,132,63,94,26,116,12,53,39,82,190,4,149,43,170,27,87,134,186,165,7,155,55,190,59,200,96,96,59,151,61,32,49,22,41,195,111,166,40,80,185,29,59,96,197,184,10,122,97,39,19,199,163,149,19,91}

{370,179,139,7,207,80,223,181,190,551,232,558,25,51,185,177,181,153,360,285,538,261,111,260,556,545,565,149,144,477,433,366,192,397,137,323,516,43,215,595,196,389,521,117,392,476,475,310,114,310,57,315,304,275,462,358,411,15,308,347,37,173,270,567,17,353,505,6,274,270,145,249,452,597,453,593,372,76,211,137,337,590,13,539,50,471,168,5,213,445,509,524,355,343,222,424,561,134,18,268,364,519,472,232,222,194,507,330,369,582,483,411,468,387,122,321,259,495,526,142,476,267,425,31,107,570,438,503,192,410,496,572,300,355,140,419,65,388,546,31,76,202,132,64,23,55,194,356,320,135,184,63,386,485,594,378,73,179,338,84,373,58,554,206,436,491,263,369,208,423,374,139,579,490,395,168,513,275,224,82,592,228,324,514,20,128,285,198,50,490,165,518,162,78,441,142,325,179,202,559,349,11,330,350,334,526,420,388,512,162,268,565,482,538,371,542,368,258,65,309,471,91,217,523,146,120,363,81,414,173,349,44,460,504,589,46,56,125,395,545,464,260,258,554,371,411,525,159,556,140,471,135,300,427,259,204,397,487,511,171,322,273,541,233,479,296,483,154,5,377,134,392,60,321,58,233,75,114,457,211,493,322,134,470,261,361,282,283,323,488,241,78,100,375,263,293,509,384,461,456,541,336,550,234,53,177,103,338,41,402,376,116,545,243,217,368,3,440,15,207,35,363,474,114,199,59,338,279,507,320,383,560,187,258,417,245,505,160,523,591,494,239,101,466,104,177,365,495,20,1,70,578,240,94,7,527,307,309,240,226,325,215,157,449,45,237,240,161,111,36,160,497,231,61,191,423,46,420,396,209,548,576,533,184,593,484,81,202,468,7,513,521,99,4,474,6,4,480,204,438,350,146,303,200,196,598,232,262,43,272,128,35,195,100,197,499,154,34,90,535,302,439,235,461,0,298,434,227,576,502,237,209,356,296,560,148,507,451,62,544,342,387,305,111,304,540,594,535,207,348,2,68,524,577,379,589,517,549,164,217,171,592,187,224,478,294,502,555,120,423,218,198,479,180,484,189,511,89,508,278,273,60,6,90,451,283,347,585,161,158,470,176,340,227,1,594,128,473,302,431,503,2,551,231,220,307,151,341,199,536,298,440,564,496,141,260,421,574,144,480,361,458,219,520,542,525,154,505,23,536,578,328,523,479,405,542,422,559,591,58,352,59,200,18,129,456,122,439,571,40,369,298,512,73,538,358,39,352,547,503,299,325,3,462,90,558,524,444,159,297,212,5,370,453,457,76,446,396,253,83,405,11,172,434,213,55,360,283,288,106,388,81,25,354,45,168,112,100,312,14,248,317,209,120,79,36,203,302,292,482,401,244,447,218,165,61,336,321,567,132,518,186,582,393,453,15,137,515,587,564,539,185,516,244,295,364,147,464,484,320,582,51,337,188,540,61,182,4,153,397,77,288,499,130,387,250,219,117,390,364,434,368,452,259,464,184,522,181,140,211,506,103,561,323,157,183,183,135,405,42,461,101,104,501,517,456,318,56,439,534,543,339,35,170,363,472,39,533,362,328,178,170,578,142,318,362,592,514,235,236,116,530,391,119,299,319,516,472,29,160,435,533,303,62,226,30,286,404,124,78,146,547,263,295,299,89,379,231,51,235,71,244,253,447,138,253,497,402,297,286,40,246,486,106,550,247,106,315,347,178,124,488,267,572,514,191,458,585,183,539,203,583,465,359,551,393,71,79,170,577,350,567,107,213,389,196,541,422,139,306,31,178,544,314,44,9,122,502,336,293,488,224,576,124,193,370,319,395,564,234,389,401,532,556,356,80,544,65,75,156,57,386,272,203,303,521,69,285,79,34,198,534,255,278,117,359,250,93,534,310,511,34,475,478,238,408,270,565,92,546,339,448,367,173,23,343,362,499,584,380,256,525,492,475,559,84,458,495,358,536,59,112,222,422,518,398,32,255,92,334,432,149,288,334,371,103,312,297,60,215,575,234,176,304,599,526}

{469,115,156,67,216,180,83,382,277,188,450,10,286,309,289,573,474,433,268,446,326,546,287,10,205,394,121,596,68,41,333,105,416,441,366,277,566,327,527,290,367,48,8,249,413,424,249,478,428,36,105,269,549,381,463,427,192,84,290,574,443,425,151,127,454,520,264,251,87,223,435,316,329,123,21,581,102,77,148,583,38,432,481,95,378,274,131,3,379,407,473,40,280,216,132,109,555,16,16,306,145,415,579,429,33,294,245,513,508,433,568,194,586,147,98,26,574,82,294,366,236,375,266,584,193,94,365,52,82,477,257,391,33,436,9,493,482,118,390,11,340,486,133,208,562,467,530,141,21,317,332,54,136,418,292,115,487,575,38,83,410,123,16,188,413,91,290,208,251,445,492,531,67,246,95,354,12,498,24,96,138,588,164,510,291,532,204,275,155,95,97,448,22,401,109,98,572,80,17,509,123,9,409,555,341,561,143,426,595,467,195,316,416,394,483,238,455,218,287,242,42,257,54,440,550,425,386,195,557,71,212,282,22,30,118,25,437,409,152,127,289,97,167,431,19,493,262,97,293,88,171,583,164,454,549,169,512,131,407,102,553,331,437,465,150,322,351,311,267,163,400,109,180,571,56,529,346,442,210,159,174,573,381,136,47,155,305,236,52,354,454,169,351,400,384,165,316,344,510,376,443,147,63,276,383,418,530,566,465,158,357,68,8,229,398,463,383,586,587,274,587,424,105,190,467,529,554,450,26,64,47,490,430,205,537,328,449,96,329,85,276,175,598,335,494,32,131,176,229,238,115,214,190,66,393,498,580,247,457,98,406,468,69,335,491,210,2,570,413,86,150,489,43,72,437,590,519,384,257,314,563,400,167,108,133,45,396,121,430,55,93,436,246,233,571,73,392,269,279,332,416,125,18,19,515,119,374,101,553,143,162,445,403,296,409,570,289,187,448,459,577,169,569,359,426,250,243,241,265,24,553,229,486,343,292,277,46,519,110,357,504,329,113,57,351,563,271,376,348,225,185,333,206,418,373,492,295,588,70,210,85,136,94,206,47,419,226,86,380,279,89,262,562,496,239,110,121,108,460,64,70,374,568,129,500,528,29,93,314,225,382,212,326,317,547,410,85,72,535,107,431,531,156,548,155,596,598,510,254,10,341,125,20,63,278,548,67,506,241,430,305,266,19,446,230,580,491,335,161,280,407,593,599,451,385,588,569,32,91,382,220,228,311,435,568,352,276,166,197,291,282,39,86,8,552,265,248,470,469,450,30,281,331,385,412,560,339,28,166,380,344,508,494,497,219,367,500,398,41,49,452,515,189,319,33,501,110,12,149,529,287,99,391,221,230,426,306,301,353,415,357,428,527,517,566,540,428,417,189,318,251,506,460,520,427,480,466,126,273,225,214,201,365,66,13,528,38,421,315,579,48,557,167,477,239,0,252,531,152,597,271,13,586,104,403,102,557,441,599,330,552,537,332,175,141,27,37,421,349,27,377,201,378,143,348,455,381,543,74,459,266,54,50,596,346,301,403,166,581,373,48,419,385,415,214,307,414,312,300,66,221,443,399,113,399,344,377,487,28,414,271,355,152,485,408,284,597,590,227,432,138,412,284,87,489,337,552,324,537,581,29,469,175,528,361,53,498,345,261,126,301,230,182,417,108,412,562,504,340,144,485,563,116,127,75,420,174,72,157,145,113,221,455,447,0,197,522,14,265,216,255,444,193,245,585,372,42,313,408,442,331,130,313,242,220,589,438,532,21,129,399,186,174,481,172,130,243,1,360,200,26,353,311,158,280,269,223,151,584,37,77,12,62,99,49,324,573,569,558,394,24,500,333,92,543,476,390,429,252,326,313,163,308,444,96,148,481,473,186,191,346,272,126,442,256,248,291,150,112,501,402,256,463,28,264,118,595,44,580,449,254,17,199,172,591,53,254,49,52,372,228,375,327,308,205,489,87,119,462,201,345,264,182,522,153,69,163,429,237,27,133,345,404,342,342,14,404,22,466,247,252,284,327,459,242,575}

7

Returns: 4409
{131,90,73,199,117,47,147,172,20,150,161,38,33,189,116,992,149,134,111,4,97,68,198,152,85,45,184,20,131,14,163,167,97,2,91,149,170,41,170,58,64,69,50,130,200,22,31,45,14,22,63,193,756,167,125,67,60,78,135,84,90,15,63,90,51,114,111,9,65,165,148,28,17,14,179,24,132,135,46,152,121,28,2,31,168,73,132,103,91,103,66,113,134,77,19,183,154,41,166,114,36,117,224,129,58,38,188,146,36,154,154,109,185,88,78,26,38,61,158,188,34,72,6,156,193,37,164,154,100,74,113,20,141,66,81,20,9,132,10,47,136,89,132,167,67,51,192,136,151,115,134,79,53,109,183,88,162,165,5,139,10,23,40,127,21,169,23,65,143,28,142,326,35,159,154,75,42,160,11,194,37,90,166,166,47,48,29,169,171,144,140,33,170,146,91,125,9,136,162,99,113,117,42,135,109,163,148,68,152,160,189,169,121,92,26,73,97,38,152,47,99,144,38,80,144,175,111,57,33,139,39,141,59,44,115,123,71,97,58,160,91,151,176,161,60,21,45,31,197,58,68,858,5,10,104,167,147,72,26,13,90,182,106,146,53,90,122,101,60,37,110,145,139,196,78,87,20,70,97,35,51,114,59,2,56,175,26,73,87,125,99,12,189,140,41,46,17,73,70,80,57,58,113,142,176,168,146,188,161,4,97,903,16,111,141,22,19,69,146,164,78,22,62,71,104,31,151,148,68,184,1,182,126,69,195,35,94,65,44,57,177,37,74,103,112,47,194,122,50,129,148,10,88,178,130,129,128,108,187,35,87,164,135,44,158,136,16,157,10,73,23,166,187,76,30,122,144,17,187,366,56,56,160,89,199,10,79,644,98,148,163,82,139,58,101,144,183,62,47,7,159,138,134,195,12,99,107,139,52,16,90,147,26,73,100,88,101,49,42,109,158,55,131,134,161,134,26,120,109,4,180,149,152,80,92,143,47,200,26,176,200,29,79,29,11,42,698,198,29,165,123,44,11,173,192,89,100,124,21,176,196,119,1,12,101,147,146,39,106,197,143,133,110,139,191,83,89,157,140,29,191,115,112,133,114,166,70,175,56,162,164,123,13,130,126,16,61,760,96,149,17,195,99,86,161,154,120,125,25,107,55,65,72,113,11,199,102,114,129,142,83,179,195,76,165,130,73,138,139,12,166,58,86,91,145,81,170,148,14,181,93,174,62,85,8,127,10,154,122,58,68,95,139,111,85,107,162,183,67,89,20,190,178,159,36,168,199,53,95,31,20,184,164,158,156,77,23,88,140,173,59,20,110,198,19,182,153,198,176,179,34,84,198,127,193,181,64,33,41,136,131,133,85,154,122,6,26,58,178,45,8,181,104,177,148,193,182,93,130,93,62,152,117,90,52,86,37,149,60,131,164,69,9,100,39,50,68,53,64,295,175,21,53,24,163,161,15,94,45,95,33,140,126,55,100,101,110,195,67,12,16,164,172,101,66,169,145,71,180,139,82,171,133,25,119,97,171,741,28,175,53,98,166,984,24,105,38,125,190,51,199,141,51,35,71,183,8,82,104,53,66,195,12,129,165,74,31,200,51,15,45,20,160,136,188,4,58,49,170,7,167,28,140,16,178,193,118,140,104,6,111,21,123,182,149,90,154,94,152,68,185,140,16,157,39,145,81,2,159,38,178,13,107,121,129,199,177,154,30,122,30,102,64,115,65,105,133,159,78,109,111,157,8,138,116,199,154}

{571,716,197,150,427,469,504,643,552,589,573,257,306,323,73,735,125,477,497,757,144,624,16,264,523,714,459,450,359,9,612,367,529,229,397,503,362,192,622,629,23,535,360,733,72,321,491,7,570,198,642,498,42,565,697,87,231,438,446,450,687,198,409,457,2,537,513,525,595,36,475,19,703,68,724,144,200,725,105,272,577,764,685,307,493,622,414,765,480,67,535,435,269,307,721,141,284,695,13,493,196,269,243,348,16,467,279,321,90,619,472,702,157,360,554,475,259,381,228,763,740,764,682,4,314,29,608,764,294,66,94,471,332,404,157,119,534,40,602,145,264,287,486,378,442,513,652,235,713,367,193,619,772,622,776,500,420,316,610,675,712,672,406,542,67,206,694,74,486,408,185,709,456,75,2,332,671,10,342,590,480,279,396,342,92,326,39,180,542,74,38,723,149,159,620,747,242,572,34,738,1,13,93,101,665,487,743,188,678,53,84,190,734,94,730,246,380,174,170,434,51,616,206,501,527,58,422,732,393,706,640,243,772,222,488,57,674,344,204,651,673,604,24,614,426,529,719,369,485,685,388,245,540,734,633,741,535,700,442,225,334,750,637,347,75,523,420,394,631,533,774,392,394,468,35,700,432,334,445,625,38,553,719,141,87,605,47,30,372,771,699,202,352,755,729,525,368,767,235,699,27,500,674,675,658,180,81,591,477,759,275,259,323,193,233,352,340,137,441,393,442,259,689,419,426,7,209,56,543,268,360,439,724,202,90,348,614,39,750,641,202,487,175,40,526,687,146,721,493,760,629,707,102,268,65,533,363,70,601,192,539,479,257,397,549,471,432,119,497,348,143,105,364,548,135,127,180,86,414,523,338,687,533,550,172,751,179,715,592,138,765,573,185,580,667,313,246,16,175,24,630,508,475,673,140,424,566,382,294,70,774,330,197,11,63,507,38,703,760,275,693,405,389,692,270,616,372,386,724,361,299,458,355,81,392,669,527,483,74,2,536,269,511,515,257,138,113,536,178,419,465,735,99,361,578,322,303,512,172,345,696,456,769,86,21,512,401,369,642,688,284,526,194,712,494,20,168,28,583,169,572,212,500,578,435,723,30,451,63,30,221,18,763,102,479,150,41,181,277,558,708,735,526,65,380,459,733,333,33,410,568,413,408,729,194,727,616,571,21,166,29,675,614,539,684,211,301,19,546,450,300,628,694,669,371,474,18,7,640,373,508,554,166,740,494,643,156,568,766,86,454,216,501,370,739,695,428,401,452,589,623,224,463,755,4,112,328,428,286,594,758,672,745,122,717,70,212,515,236,711,242,127,528,297,32,746,371,732,197,624,446,185,379,756,704,14,184,313,678,77,418,734,457,330,605,563,125,29,418,567,588,696,652,662,571,528,188,722,718,776,771,666,322,328,578,110,379,692,262,214,750,730,137,81,233,696,108,233,78,41,308,289,371,194,596,179,390,707,196,33,542,544,439,102,409,186,436,536,472,575,503,392,369,655,685,258,152,473,454,744,453,458,618,317,283,80,342,449,84,370,404,504,68,455,247,243,674,267,405,751,73,751,672,531,394,300,676,565,477,738,604,43,200,732,634,306,262,754,132,124,97,568,689,208,633,550,13,42,254,543,58,47,728,200,729,441,589,628,519,59,508,474,212,308,583,393,527,113,525,116,501,340,406,175,669,56,561,612,245,594,152,286,553,689,187,299,357,144,481,574,14,32,446,716,69,537,124,53,753,114,459,642,473,164,267,566,612,463,566,254,75,359,646,347,555,221,511,478,455,114,205,641,94,31,466,410,296,753,84,430,531,166,485,776,80,127,17,592,706,478,186,19,226,285,434,747,207,592,619,561,741,338,306,570,471,357,745,379,458,769,554,695,90,78,570,254,448,488,264,18,553,41,543,744,629,330,6,723,451,362,135,580,633,401,361,80,583,277,559,609,213,418,105,67,462,408,539,728,377,93,488,336,57,720,740,555,68,481,727,113,772,753,234,118,346,390,497,604}

{670,320,429,462,354,626,605,327,278,366,256,600,758,55,305,159,159,248,332,125,267,647,46,657,607,752,707,163,110,384,476,272,548,509,598,591,303,244,329,157,96,346,104,222,278,375,522,582,644,226,648,547,611,11,515,538,682,505,311,437,126,276,133,351,184,351,599,650,481,107,358,473,433,584,698,468,116,50,198,635,720,524,595,44,770,469,551,96,739,182,690,537,59,726,377,199,131,623,376,39,384,766,147,433,35,528,658,671,140,452,110,506,121,575,238,464,737,162,374,647,177,209,541,59,417,519,182,246,625,635,123,576,447,195,654,598,739,191,632,25,545,71,341,444,149,663,651,82,448,276,315,161,584,630,407,681,6,287,313,138,586,516,417,43,378,659,602,699,236,79,100,176,121,402,383,72,214,650,591,325,79,71,564,512,274,506,385,560,692,460,37,383,681,147,309,174,146,234,636,524,482,206,156,151,169,643,273,386,363,516,634,20,717,748,563,657,649,327,534,754,496,775,122,540,66,270,248,555,646,655,615,170,333,411,648,444,42,541,545,199,304,5,713,487,741,310,576,207,534,505,326,651,658,54,665,204,170,504,304,462,111,771,145,335,412,698,87,766,737,613,100,676,461,602,390,659,48,682,227,220,51,530,460,207,412,44,219,524,374,447,253,174,79,422,713,181,124,120,252,227,112,284,747,676,244,359,340,698,638,92,28,505,730,95,663,478,593,492,278,256,466,22,109,380,117,662,492,276,427,158,397,736,437,448,182,416,122,203,538,666,173,292,584,720,147,0,391,767,266,161,12,680,677,22,391,65,396,494,502,664,135,224,435,238,509,640,499,736,639,107,383,738,391,329,484,373,312,3,522,28,388,768,686,215,337,250,218,416,213,587,304,230,219,62,220,149,541,289,327,654,593,384,485,20,613,632,600,389,386,757,680,120,691,470,208,219,530,411,431,579,615,660,89,107,416,595,271,85,502,409,581,382,133,63,402,737,721,121,89,655,597,148,106,722,426,210,209,661,339,181,241,630,498,24,412,634,195,775,178,686,761,375,495,201,565,315,280,168,424,237,511,277,482,548,641,441,134,356,420,464,54,85,381,690,588,95,495,645,256,362,357,141,749,171,544,456,82,210,579,376,131,168,572,425,748,701,302,47,460,239,293,410,320,253,429,425,131,172,282,268,373,151,714,191,346,498,349,382,271,214,358,61,754,183,11,201,761,302,241,529,563,403,444,109,117,178,479,260,325,757,203,597,295,712,236,413,115,654,316,216,92,83,775,281,237,177,760,151,193,173,216,26,430,403,50,726,51,686,432,395,364,667,559,519,301,684,109,290,220,183,251,415,179,624,621,106,506,618,64,160,303,664,43,413,227,25,336,510,281,443,312,700,464,636,702,119,33,274,177,136,61,569,280,423,341,499,627,192,451,749,660,0,670,550,210,670,112,656,199,600,25,569,187,289,165,335,176,381,326,6,226,518,343,52,72,32,77,290,742,653,261,691,495,615,140,50,637,437,743,293,252,617,142,424,546,164,575,564,186,331,249,161,55,586,366,745,564,621,470,556,452,339,61,400,463,12,349,316,242,752,82,429,322,470,196,27,728,433,66,118,491,56,71,288,114,703,661,561,709,3,491,100,95,496,635,447,613,690,691,374,229,211,241,211,652,315,224,49,400,423,331,104,499,697,329,518,249,516,559,476,628,244,385,590,573,547,320,579,337,717,293,557,387,756,773,423,585,438,666,353,150,358,231,183,405,333,248,520,746,223,378,364,377,706,126,3,57,663,520,502,366,272,774,514,688,546,376,623,83,449,763,714,385,301,596,341,625,290,530,270,116,483,325,167,736,230,158,165,773,681,673,31,661,271,388,636,545,15,649,403,164,98,189,40,414,657,345,312,120,12,489,404,218,1,468,597,411,496,396,155,659,684,69,287,680,273,425,104,509,45,560,237,163,191,64,552,88,318,0,1,593,688,402,280,158,331,89,195,230,621,355,4,64,162,45,466,683,552}

7

Returns: 7926
{159,26,62,131,123,186,161,117,45,140,23,173,170,171,170,14,157,123,185,109,18,178,171,156,137,165,40,78,17,95,397,130,67,36,50,119,49,32,145,72,196,74,82,73,161,198,190,13,133,109,67,147,19,125,186,155,74,114,8,90,134,42,13,116,104,100,183,191,85,110,39,197,80,160,167,163,113,73,33,107,176,145,20,16,15,21,76,151,119,8,186,105,120,84,162,138,66,48,7,188,71,186,79,149,157,119,63,167,60,146,134,76,5,57,16,113,174,5,67,64,96,24,164,155,184,16,126,133,83,103,145,14,16,24,86,103,159,154,164,182,73,76,163,6,22,63,120,174,43,15,97,18,157,171,46,127,78,191,28,150,167,120,976,177,71,86,75,191,180,35,123,198,166,160,163,54,48,74,62,66,76,11,46,70,29,85,81,191,113,67,5,75,114,71,44,197,152,180,4,26,59,142,110,90,84,22,139,187,164,66,130,154,21,189,200,9,24,44,138,34,28,79,130,158,140,44,117,111,156,192,103,60,82,122,136,143,166,120,196,115,180,71,139,7,199,43,33,51,156,80,164,121,54,46,115,54,88,140,192,108,42,99,2,171,28,121,191,122,166,113,102,2,145,175,33,121,63,90,154,155,103,79,45,37,108,108,180,18,43,151,38,67,51,55,151,165,83,179,94,136,193,1,172,70,73,5,165,90,166,16,143,108,165,26,67,80,124,163,61,45,24,109,171,36,4,102,125,160,126,28,21,101,33,104,44,4,173,186,128,55,85,143,87,136,146,51,48,54,117,72,17,81,168,1,154,186,61,193,63,61,197,200,95,179,65,182,154,197,61,116,185,128,63,89,57,18,152,174,7,133,38,47,194,116,26,11,185,1,198,38,157,208,50,73,86,123,25,135,29,170,86,32,50,147,156,121,6,16,180,105,136,190,125,182,129,101,116,119,185,54,152,61,73,102,100,216,147,92,179,2,129,85,160,50,21,177,14,120,18,192,191,171,94,150,33,108,167,138,132,43,131,96,88,123,45,169,36,179,166,83,99,61,137,198,145,176,186,97,148,181,50,173,12,16,156,194,166,158,36,139,165,122,22,195,41,9,112,31,191,16,185,49,123,125,46,30,111,139,66,58,161,20,11,57,33,157,107,158,87,118,154,129,190,142,82,169,14,167,111,122,36,30,47,177,192,192,11,38,188,133,145,66,114,21,71,33,158,88,199,42,158,103,59,177,118,145,37,49,99,59,5,41,2,11,68,104,39,36,94,154,164,112,153,4,24,141,52,18,141,125,2,130,138,26,34,157,130,2,50,58,53,50,129,4,128,70,19,12,140,72,9,145,190,57,190,160,126,193,186,85,137,124,103,199,134,192,110,3,32,163,18,26,33,123,14,4,136,137,87,103,148,148,75,29,66,156,193,128,160,37,56,167,167,103,45,85,104,29,40,121,109,13,59,19,185,72,165,153,52,154,45,8,171,122,34,29,100,110,72,83,100,184,19,31,71,111,172,97,105,149,183,129,103,45,88,131,113,192,143,122,159,15,168,159,156,184,64,43,9,105,128,41,44,54,140,160,47,87,3,124,25,183,158,113,78,70,158,136,179,42,6,15,115,7,127,51,141,4,89,160,26,152,2,196,140,197,31,95,112,194,187,191,44,175,146,49,40,65,174,45,116,26,896,169,138,41,45,130,124,197,179,111,89,27,70,187,35,146,139,135,92,172,56,94,22,67,26,160,136,184,150,193,145,107,84,187,40}

{480,60,290,180,164,0,4,202,522,466,741,85,168,169,130,404,620,713,446,696,175,776,111,743,708,180,770,646,165,393,766,202,697,51,228,658,646,322,280,745,517,179,223,296,566,465,416,330,126,147,740,156,489,515,753,580,469,369,561,84,594,79,165,110,3,320,477,367,436,518,41,571,378,360,185,139,297,39,664,9,87,267,336,78,558,267,184,141,300,8,409,252,623,466,293,482,672,719,420,32,355,476,441,476,232,746,29,331,637,311,397,169,356,736,282,161,83,85,103,30,376,328,722,362,3,152,294,624,425,490,160,245,138,237,214,267,231,460,587,723,118,115,349,92,252,582,340,122,120,705,241,512,526,129,772,544,108,83,644,495,126,410,722,482,42,192,725,747,633,79,297,240,182,238,689,462,204,214,563,56,643,421,240,755,15,139,67,104,574,377,498,254,517,395,87,207,534,298,664,108,328,463,733,525,384,512,268,294,15,478,263,121,197,727,544,673,184,310,239,433,157,272,510,646,500,71,718,507,186,492,322,214,379,79,419,178,664,607,378,273,261,166,241,6,724,741,491,177,411,618,176,416,83,441,594,56,69,289,332,139,307,24,721,30,545,601,676,428,5,656,446,372,473,434,432,592,197,319,5,38,649,688,249,230,315,35,88,710,368,544,239,301,731,705,148,82,89,61,758,775,776,550,479,211,81,403,694,123,720,119,577,89,731,81,322,43,213,744,238,101,744,770,365,244,160,8,712,6,689,28,101,428,297,498,435,154,108,601,578,319,467,294,525,368,483,663,274,183,351,327,52,373,728,502,308,625,739,401,3,34,547,685,580,565,737,265,130,684,477,610,525,93,351,616,597,690,446,333,216,666,159,645,274,573,503,373,476,219,103,306,181,568,113,237,330,475,309,694,279,426,402,279,507,336,425,488,362,367,765,411,75,574,185,427,104,642,452,30,627,582,237,465,100,6,501,631,580,91,427,655,701,545,82,253,15,627,463,487,688,566,168,666,166,697,12,419,773,576,420,114,180,691,230,533,205,114,390,271,773,153,150,650,21,528,253,605,650,605,93,546,697,689,97,126,775,426,217,137,90,296,31,577,260,521,186,133,24,330,737,619,217,309,121,567,539,152,614,263,455,762,504,288,22,221,100,740,296,138,204,269,435,235,436,734,104,333,362,590,13,433,379,756,603,197,307,457,209,757,683,263,489,396,485,674,454,273,168,252,273,164,178,605,540,454,542,631,637,550,96,356,130,82,498,604,562,514,694,574,589,420,343,12,598,100,241,4,81,88,313,176,746,29,679,88,452,78,115,239,745,270,323,315,441,231,87,425,475,306,469,120,571,113,501,175,167,146,493,215,351,138}

{638,42,119,22,389,716,233,390,222,421,18,486,208,387,29,383,163,556,721,233,482,250,434,236,715,490,352,36,2,167,511,145,14,268,220,510,500,501,455,456,407,131,366,393,704,612,366,61,33,37,763,464,769,218,668,310,772,36,602,342,288,158,345,20,113,407,661,210,251,253,648,531,127,631,244,687,282,686,399,549,550,98,151,196,289,534,255,730,509,39,609,615,60,310,135,691,451,692,424,626,150,147,507,359,624,149,262,626,723,682,405,552,712,430,549,33,670,337,602,162,738,509,23,293,218,445,393,520,391,286,437,545,355,304,622,566,709,759,436,102,303,467,579,339,652,196,731,671,59,207,236,225,80,71,632,513,442,101,245,556,74,659,41,200,529,375,719,442,243,372,206,702,658,450,388,48,349,642,196,508,136,283,348,94,230,736,554,72,612,584,455,59,151,339,286,768,243,25,478,748,2,709,11,771,112,202,328,144,262,608,569,227,332,16,311,144,538,508,768,415,681,522,172,73,707,344,529,49,431,622,279,150,754,374,206,231,329,415,667,21,345,586,486,601,244,227,323,692,551,357,491,696,415,132,702,608,334,543,7,326,412,497,456,417,211,609,24,365,526,283,160,145,401,491,74,63,639,520,635,77,771,281,281,661,653,603,291,765,553,639,49,702,690,218,193,734,155,364,564,691,679,22,345,680,569,374,17,212,173,352,388,13,729,17,514,687,524,97,587,556,167,516,131,488,163,335,553,495,728,121,304,635,103,135,560,169,714,242,55,382,339,201,348,396,717,640,255,390,370,765,447,579,575,11,288,342,606,465,747,70,293,84,346,447,171,146,272,323,313,719,643,533,401,165,717,467,734,658,107,137,684,575,236,190,609,62,463,579,37,331,421,551,538,403,301,176,392,516,251,199,124,509,464,654,26,405,751,628,209,434,704,306,9,80,439,122,552,742,477,629,384,641,438,395,209,363,141,411,408,240,511,195,184,284,473,314,506,700,610,703,260,331,68,652,589,530,759,769,354,642,272,568,486,701,224,129,583,748,350,587,602,144,335,769,18,710,471,771,735,570,54,727,375,527,680,2,17,54,260,632,597,576,505,725,593,151,329,291,48,502,750,570,163,585,190,679,60,105,572,561,737,541,718,405,755,78,336,304,47,594,206,450,208,258,766,703,772,248,382,597,335,122,570,728,107,203,303,630,620,410,661,318,84,600,55,444,712,468,370,687,364,776,514,653,97,450,515,727,77,352,404,653,643,611,33,233,692,18,291,375,112,355,575,71,334,54,346,201,439,74,284,111,284,591,516,725,300,469,379,700,42,395,39,680,350,189,651,342,759,334,90,346,36,707,145,494,292,773,500,200}

7

Returns: 4234
{385,162,120,175,32,26,166,142,159,32,45,35,14,92,196,79,156,163,173,130,74,90,150,163,7,63,22,139,197,82,63,193,15,68,68,192,106,184,188,180,96,16,141,37,69,198,90,37,89,68,154,92,185,67,137,84,192,24,129,148,104,197,3,45,196,741,111,43,939,149,57,198,614,142,171,7,183,56,115,184,72,118,67,50,44,149,30,757,196,67,101,81,128,153,192,146,154,4,155,190,37,311,128,108,139,173,196,138,151,88,146,184,25,72,154,83,9,192,196,13,156,60,158,51,136,188,124,114,143,70,4,194,175,92,116,189,56,53,157,52,24,119,195,10,78,108,143,71,48,104,149,189,119,91,96,178,144,85,39,85,76,93,1,141,51,42,55,148,709,167,29,110,47,114,148,172,196,181,196,107,35,62,112,180,34,80,22,195,139,120,144,25,39,167,200,74,116,69,93,112,191,12,76,67,143,30,123,60,37,126,60,107,39,37,131,32,197,194,8,56,43,11,165,21,134,143,43,87,96,190,108,37,109,91,92,57,100,149,117,123,153,48,151,29,13,56,106,186,107,4,180,172,94,62,139,104,101,942,156,150,144,60,80,553,41,170,175,18,23,199,159,125,87,81,149,63,21,38,40,146,48,34,199,140,74,84,38,136,1,61,37,3,142,188,199,147,2,163,46,156,129,83,117,87,115,195,89,48,97,196,145,95,50,191,179,47,181,8,28,10,20,193,136,20,81,193,116,664,78,13,38,120,92,25,178,21,132,16,85,165,88,172,94,70,37,69,139,182,94,157,64,153,172,131,184,198,89,178,129,179,185,125,18,117,102,147,60,149,100,109,318,10,98,102,198,133,142,23,6,175,189,141,47,149,147,42,88,99,131,158,84,41,161,42,144,43,156,65,114,46,57,41,72,163,27,51,122,55,72,15,31,175,115,140,176,14,38,175,179,17,139,158,105,6,190,47,154,175,89,38,94,360,92,194,1,90,146,33,193,128,6,38,42,148,15,174,448,127,157,37,16,183,153,158,81,90,160,134,94,179,158,140,114,182,149,108,161,165,63,24,71,100,13,164,128,10,6,56,113,75,233,30,84,186,132,58,167,69,4,38,177,107,24,61,115,30,32,85,121,94,163,23,51,97,73,90,133,8,127,11,173,20,154,32,16,156,100,127,695,47,80,183,16,149,179,62,36,188,418,123,43,185,114,133,196,184,129,167,4,104,96,123,194,45,138,193,60,185,71,19,52,199,195,69,168,29,33,194,183,60,82,150,74,118,137,175,24,64,33,147,98,58,178,198,40,198,27,133,28,64,177,65,247,48,15,134,5,88,95,191,135,196,77,181,108,95,2,86,83,138,43,131,25,161,165,179,109,122,156,159,18,69,178,58,86,77,26,61,85,43,99,88,28,67,75,95,152,19,1,1,152,79,169,141,141,154,79,134,84,17,168,50,57,90,17,118,88,144,179,139,95,87,92,137,40,137,81,106,18,130,127,179,149,184,185,55,85,123,139,108,172,611,111,193,25,86,118,87,69,73,64,115,48,24,146,139,184,46,16,84,167,113,33,191,32,82,51,59,168,27,181,125,52,1,60,35,6,68,197,184,21,112,145,170,35,182,142,164,85,173,129,50,47,126,1,24,47,105,72,166,138,47,133,119,99,185,60,152,147,15,135,27,190,10,710,41,121,21,51,25,114,149,94,51,181,168,135,33,194,179,727,9,26,148,32,104,70,71,90,186,19,115,130,179,78,165,156}

{470,658,201,391,74,723,320,693,463,363,684,75,185,348,356,76,662,592,724,729,275,754,517,572,279,545,757,42,647,204,172,246,10,717,484,151,238,55,447,78,460,32,696,763,429,212,316,298,693,529,673,619,341,274,493,448,226,141,432,352,578,275,235,336,718,133,359,774,457,776,270,7,181,192,384,695,133,687,120,422,234,649,386,530,368,364,360,340,21,237,686,249,113,584,381,543,191,458,38,379,766,13,556,215,594,459,163,739,369,98,256,536,99,705,82,334,198,93,214,626,237,0,731,4,323,707,182,554,77,529,118,119,433,479,341,230,643,368,658,672,752,355,281,101,776,51,759,246,561,545,714,482,52,147,485,513,366,26,467,293,172,347,39,133,474,621,728,517,732,339,24,560,469,589,250,164,25,272,432,618,260,546,140,199,614,548,690,695,372,8,573,436,588,401,492,202,728,14,533,613,718,256,634,263,111,470,156,315,129,262,453,542,218,655,639,317,156,189,341,548,253,125,620,90,590,260,717,570,238,646,422,746,128,278,426,241,315,389,34,600,177,643,144,618,176,587,579,474,610,415,595,182,670,202,85,561,284,391,557,693,11,711,574,444,388,30,52,189,614,716,0,155,654,325,193,276,540,340,154,277,544,689,113,100,224,100,482,61,468,582,358,707,125,281,709,310,458,688,613,736,384,249,604,667,176,262,677,538,25,438,186,688,244,607,385,294,143,542,558,180,546,424,301,447,525,553,256,498,311,590,243,309,456,416,17,557,365,107,183,554,460,262,190,278,105,61,730,629,270,299,181,668,469,301,760,684,26,308,99,215,277,254,485,203,609,106,649,346,749,303,30,714,3,467,188,305,318,309,636,90,342,302,666,347,437,640,509,237,344,396,210,184,258,198,24,615,547,35,305,395,353,496,702,760,155,512,580,46,430,138,276,187,439,557,136,358,93,465,619,152,414,644,304,728,598,583,732,423,556,628,766,365,543,164,685,538,69,353,59,507,395,468,677,106,434,640,464,283,282,251,255,86,755,278,84,772,333,153,714,282,406,775,229,323,629,447,686,331,192,645,289,47,664,677,630,489,440,33,72,607,734,82,295,57,320,197,131,587,6,250,713,75,118,76,219,155,751,204,760,762,531,223,615,223,417,174,492,183,172,386,598,502,619,570,21,381,381,290,399,187,145,705,299,319,2,322,712,726,332,425,355,582,670,647,394,312,440,20,473,359,377,170,620,438,605,300,328,123,375,697,387,493,124,374,88,515,25,616,398,404,516,602,201,12,572,644,512,418,108,41,723,31,764,387,422,574,145,552,40,424,375,624,108,559,427,724,699,129,107,112,602,317,390,342,696,700,197,156,15,167,545,567,52,266,108,171,409,425,469,107,290,141,685,625,153,600,428,679,775,749,304,501,568,522,227,151,731,106,184,659,764,162,175,718,66,628,751,738,298,768,42,270,580,741,724,1,325,86,730,559,79,122,94,324,95,340,710,577,629,143,733,460,137,554,414,336,225,275,72,205,282,519,503,174,726,285,115,579,195,316,443,467,416,401,5,719,604,532,37,258,190,443,354,93,507,59,130,194,570,762,376,712,15,700,6,216,267,79,90,531,46,501,125,472,495,701,576,599,695,8,80,672,406,465,244,10,119,540,354,48,241,653,301,184,316,510,225,406,293,279,380,29,575,33,20,638,572,21,662,616,507,439,475,180,530,54,13,170,352,642,47,243,776,412,300,497,639,411,224,428,92,775,243,371,309,321,321,741,582,368,635,392,10,88,506,198,249,673,536,24,331,731,333,164,171,382,630,325,144,417,271,578,269,187,437,179,353,634,313,226,258,136,141,45,51,479,363,254,170,697,266,649,280,231,66,668,162,18,565,488,56,618,369,45,651,638,615,6,8,435,605,632,753,250,174,122,85,733,206,538,639,140,488,212,483,147,16,224,517,75,459,293,435,329,630,412,532,177,699,255,231,772,547,144,531,697,272,231,632,334,152,532,405,135,607,678,658,481,18,387,189,673,580,130,253,426,200,0,479,333,48,263,246,516,263,253,173,399,384,273,150,214,660,506,117,516,408,238,640,72,376,490,489,274,266,43,128,319,432,5,388,26,117,700,556,698,251,515,251,304,733,590,118,391,650,63,584,430,474,670,128,111,772,140,48,567,437,42,98,488,9,675,443,319,127,55,131,364,12,143,574,323,129,669,705,236,181,774,449,527,620,64,659,754,592,622,703,378,13,215,734,442,186,101,216,342,711,303,38,623}

{372,124,525,78,591,134,343,105,758,641,627,680,750,74,691,274,756,456,317,579,361,86,188,588,596,207,377,771,633,708,764,3,466,767,606,2,272,356,521,727,428,232,161,455,337,736,770,476,476,349,470,712,593,656,69,472,279,773,295,235,169,413,445,116,508,681,490,371,442,412,523,694,687,537,692,292,444,403,121,505,306,738,360,583,312,100,708,763,218,271,435,747,612,59,117,692,268,209,242,96,758,426,73,492,407,137,195,142,679,773,496,134,163,273,592,571,151,734,240,737,434,176,389,666,621,23,609,98,407,239,183,573,588,261,525,31,78,512,696,382,335,163,742,431,735,421,410,598,509,417,9,455,500,398,448,682,185,80,191,374,36,252,544,699,742,306,683,393,280,721,308,67,283,665,310,121,320,280,475,645,585,569,564,259,29,491,601,503,637,241,36,247,77,541,331,27,461,318,418,657,276,482,54,616,17,135,32,169,716,332,562,571,499,526,265,47,595,339,650,439,508,735,70,109,60,593,749,248,373,637,338,89,226,611,676,74,624,356,722,747,110,729,302,152,519,390,555,186,259,641,451,20,158,719,126,457,324,500,229,768,159,167,581,28,401,81,483,361,347,363,528,663,166,632,328,456,767,585,31,706,81,122,689,112,149,63,583,104,351,744,753,562,135,505,150,603,745,655,110,614,625,63,481,371,541,36,89,596,39,663,586,535,637,745,50,571,425,566,552,230,104,459,442,499,199,116,768,217,586,468,245,73,11,383,239,407,330,475,449,691,523,229,197,680,655,740,622,227,268,298,369,679,404,111,327,41,136,322,32,7,361,550,730,30,378,148,622,200,461,521,137,242,81,635,707,367,188,567,743,495,305,126,139,173,484,51,396,402,322,610,757,201,608,664,330,750,196,755,310,296,457,153,445,168,750,83,212,314,450,625,358,463,103,236,505,452,694,115,648,2,605,179,66,451,756,494,568,121,207,495,451,217,568,641,405,71,306,502,265,70,668,357,62,297,703,287,142,631,473,736,477,612,232,217,329,489,600,146,708,409,114,339,114,94,484,513,738,524,402,746,452,208,120,355,230,419,499,23,257,345,735,713,678,418,203,378,269,486,608,754,767,102,62,602,233,97,289,178,681,586,218,247,1,665,589,544,252,623,661,487,84,154,566,551,682,43,698,491,324,283,150,626,755,676,73,722,689,719,765,149,207,370,373,398,450,169,40,313,692,660,683,660,245,563,448,91,307,633,271,690,365,410,581,634,58,462,746,581,159,289,520,326,223,399,22,300,116,335,454,624,167,520,773,85,348,558,550,221,481,202,239,382,683,621,394,612,648,521,635,743,510,717,11,70,748,44,535,646,681,244,633,147,566,87,403,357,159,127,553,344,97,664,94,221,575,676,109,420,758,638,537,552,350,413,691,713,732,729,245,527,739,314,208,175,158,543,3,264,487,235,161,56,307,462,657,402,423,542,234,441,400,38,28,142,386,343,242,651,477,60,414,178,611,504,374,563,631,366,769,753,674,737,452,595,766,648,631,715,175,653,179,454,57,702,665,233,688,725,453,294,421,427,466,569,247,715,710,745,281,313,774,613,494,338,265,71,609,440,455,286,311,741,161,701,752,441,409,228,102,105,388,315,690,260,314,611,171,511,626,464,400,264,438,34,518,563,530,759,80,539,645,233,49,757,154,165,295,396,771,710,330,28,149,560,727,491,46,513,345,496,721,41,290,575,222,678,311,209,706,385,308,57,228,555,628,146,345,493,446,1,259,97,657,79,77,307,415,698,287,37,110,228,214,603,148,393,40,454,461,540,162,711,383,702,663,139,601,539,392,463,449,209,9,124,83,234,89,182,139,18,68,761,593,494,752,591,123,503,312,445,709,366,71,771,222,326,222,589,523,471,526,585,67,180,739,748,520,349,466,377,204,131,756,12,83,694,44,264,134,441,723,502,248,646,743,291,727,526,511,674,286,357,343,603,404,99,220,444,478,569,701,195,208,109,650,114,22,562,349,508,642,29,536,84,742,473,395,671,376,680,352,65,524,651,480,487,220,23,761,403,674,112,423,509,379,225,405,500,232,267,287,606,269,216,53,716,415,762,669,91,191,608,17,213,61,687,599,123,367,332,303,519,297,160,541,464,60,584,115,39,185,606,737,104,329,37,450,389,252,410,34,364,236,297,67,240,291,62,596,335,318,126,578,761,177,96,91,427,221,248,669,337,684,666,344,551,336,747,119,120,478,477,748,704,5,372,486,539,102,560}

7

Returns: 8229
{70,102,115,191,52,69,67,155,17,199,67,114,58,143,671,19,50,960,128,168,9,11,50,139,3,153,30,82,54,3,133,136,31,178,120,51,77,103,118,176,194,141,163,149,131,190,49,160,71,78,4,10,151,6,135,118,862,163,129,84,179,200,3,174,37,100,27,76,40,30,112,29,36,85,879,923,119,797,111,102,94,192,110,10,85,67,65,168,69,86,198,157,83,74,22,171,74,138,108,181,164,144,77,29,116,120,145,96,88,17,63,141,22,18,182,160,104,6,39,65,18,90,3,19,177,95,15,172,25,77,38,172,21,10,64,158,183,199,114,98,197,178,122,165,33,111,127,125,30,60,87,173,94,41,79,106,91,70,3,38,76,60,86,115,80,183,150,50,107,39,64,12,73,137,151,189,197,37,147,106,153,159,188,81,31,81,36,139,103,73,63,73,65,55,46,167,25,42,108,12,45,67,136,100,103,83,134,127,167,15,48,131,727,44,177,146,5,35,64,63,97,51,23,152,145,46,47,124,143,155,115,131,26,25,162,147,190,182,56,192,147,612,187,185,75,5,157,107,139,119,97,127,173,76,14,143,35,100,27,129,173,86,160,75,73,196,41,131,35,116,91,45,128,170,479,178,29,164,109,101,98,20,47,92,159,39,157,19,194,172,92,85,13,43,10,183,38,74,119,193,152,178,25,63,67,80,181,179,116,52,139,86,87,132,47,90,108,118,153,197,625,37,106,86,82,158,140,40,108,115,123,22,53,178,41,69,71,30,48,112,172,113,174,30,79,26,199,71,26,69,163,129,117,160,184,78,37,148,199,19,150,167,79,162,34,5,173,4,75,107,161,694,2,173,37,87,23,152,89,12,36,136,47,14,194,47,119,363,65,185,114,112,200,64,66,4,190,135,91,136,123,198,75,182,198,26,113,119,15,133,48,155,193,149,164,154,137,163,108,58,41,94,38,4,899,154,63,78,197,91,171,135,197,23,197,75,113,26,109,72,77,98,135,198,192,121,48,39,105,128,86,83,30,122,8,117,134,6,23,85,52,155,155,134,162,31,83,31,98,71,169,66,125,62,58,79,161,24,168,195,11,158,159,120,159,102,155,167,112,92,82,126,53,13,114,3,10,149,166,181,76,105,155,93,977,178,139,111,165,192,146,193,78,194,140,1,97,107,133,233,112,18,88,318,137,41,569,90,182,82,26,92,720,591,137,44,44,162,39,140,117,148,121,96,170,200,85,49,44,144,17,29,162,33,66,112,137,177,154,22,31,157,24,125,63,28,145,143,149,106,184,188,90,18,185,17,141,117,21,50,21,63,63,126,78,50,76,107,68,121,31,660,169,132,150,118,134,120,99,169,23,148,33,73,453,136,150,149,137,200,48,4,168,84,180,64,135,49,70,145,186,197,185,18,46,127,170,193,134,35,42,25,19,89,127,178,119,52,107,99,44,23,107,136,159,54,123,148,139,47,39,44,198,67,155,22,168,46,116,8,57,103,23,105,163,104,55,184,196,107,118,119,137,190,136,192,176,112,23,192,46,143,97,117,187,82,117,93,187,44,144,110,157,101,15,189,143,190,63,36,30,66,2,7,359,78,59,159,191,167,32,142,136,97,226,75,14,165,131,71,644,6,92,91,183,63,172,82,37,111,198,144,30,39,33,83,54,84,129,108,5,98,108,41,44,114,184,142,160,68,193,161,177,49,94,49,56,8,81,96,172,90,104,3,1,195,10,86,175,149,178,190,102,83,189,194,40,97,120,105,8,176,187,183,182,133,107,42,55,134,29,139,19,198,179,51,175,54,70,27,186,146,200,1,73,163,151,161,192,39,117,200,6,198,23,28,140,160,138,114,60,161,39,5,1,115,52,44,55,144,36,6,13,196,80,155,38,193,15,7,190,195,98,170,14,58,143,106,186,137,179,127,34,147,62,77,374,193,108,99,96,191,156,131,54,154,186,135,98,39,11,11,97,137,52,192,154,178,200,140,158,38,70,45,39,187,114,83,2,143,97,11,186,163,155,12,43,144,59,142}

{93,759,828,400,266,237,714,813,297,563,369,113,810,653,466,405,21,70,481,553,750,530,790,648,127,757,358,293,2,444,340,855,757,190,589,614,661,66,875,868,539,29,37,124,42,224,582,385,174,161,282,249,285,543,648,94,142,92,536,774,347,159,457,358,21,770,170,450,573,786,364,828,641,774,371,513,92,661,139,546,279,349,370,234,436,202,470,228,775,421,255,189,589,101,202,294,425,821,174,508,499,154,634,159,146,366,81,728,305,262,390,396,351,291,483,886,725,634,515,136,850,841,637,276,2,148,11,109,287,772,485,266,454,345,681,133,508,612,322,366,244,752,606,629,172,484,749,70,383,613,320,465,409,774,863,762,758,819,524,139,505,465,158,367,883,755,611,330,188,576,370,497,304,452,292,353,642,156,853,568,30,871,309,726,187,710,529,150,533,12,165,37,747,893,365,714,629,716,685,142,832,738,585,660,248,72,232,303,667,386,800,234,777,514,516,149,360,485,599,170,308,103,658,290,765,858,582,39,667,682,261,823,77,31,111,800,71,283,474,824,858,756,820,91,35,545,876,109,840,886,347,18,297,399,83,315,875,290,852,754,451,252,823,498,296,408,339,806,663,829,562,251,42,792,46,846,862,194,674,586,619,252,150,450,858,890,447,635,742,552,517,260,114,57,254,824,102,29,791,143,515,502,773,437,284,627,525,782,628,229,429,444,108,801,249,154,786,289,205,484,395,715,750,530,113,9,64,460,372,880,660,302,365,422,188,708,27,17,48,458,711,370,278,770,199,87,597,89,554,877,716,423,63,787,61,213,819,60,318,747,597,184,694,85,629,744,183,752,570,160,68,713,4,888,729,58,114,571,739,146,349,451,36,66,580,893,103,654,304,382,846,848,759,250,506,354,764,655,640,36,864,457,99,464,839,289,562,606,895,372,786,836,350,569,594,463,398,550,134,10,276,197,761,418,324,180,847,708,497,798,0,224,702,740,160,250,676,534,619,463,159,16,220,71,371,898,703,725,865,807,23,489,855,58,254,876,452,71,572,120,687,324,58,632,630,878,862,283,175,111,432,595,170,655,441,777,828,381,864,744,486,30,392,199,634,379,594,676,404,79,584,446,105,53,183,18,193,146,633,161,349,69,462,492,849,874,148,881,622,843,243,194,821,111,220,154,340,228,105,789,847,583,630,386,57,355,382,45,481,483,548,653,781,886,207,582,213,155,414,755,53,286,435,693,329,475,255,8,187,136,640,298,791,482,69,637,82,77,47,812,752,244,811,180,751,250,698,72,92,194,569,503,527,538,514,761,497,524,697,407,681,402,454,43,449,763,797,717,473,418,359,619,860,311,407,175,676,37,505,734,761,726,586,545,320,537,672,183,258,674,853,186,400,301,30,105,708,153,471,595,717,459,256,12,455,25,336,379,315,346,534,348,135,315,118,203,621,799,218,533,208,485,353,893,186,641,451,85,548,175,152,723,533,407,436,201,462,503,124,415,67,762,479,537,132,239,544,142,742,734,64,268,98,55,134,224,359,763,645,553,824,757,649,695,876,799,751,731,585,847,521,351,890,765,669,558,104,133,335,437,557,414,48,869,510,55,309,320,244,35,711,64,248,464,662,898,749,77,573,20,750,608,235,544,607,338,887,746,205,118,311,355,288,486,264,520,278,12,731,166,137,17,825,249,371,53,45,86,411,726,324,134,418,83,190,237,336,116,207,606,877,360,395,715,492,59,43,899,209,517,408,871,568,552,558,479,714,4,826,473,778,63,875,648,35,681,373,277,439,484,343,369,89,576,515,527,135,248,463,765,605,690,233,823,572,245,261,481,644,188,166,200,18,69,204,724,87,386,322,588,32,661,238,365,143,311,771,379,34,280,66,842,205,821,584,376,167,198,20,725,343,572,682,775,323,373,223,405,127,782,626,398,351,17,290,543,822,698,41,456,646,583,152,161,296,292,660,153,462,366,97,125,816,626,373,711,286,143,435,427,644,430,303,341,189,278,452,862}

{755,625,330,129,697,593,241,555,642,243,513,203,384,7,843,153,401,531,449,126,27,139,766,835,658,464,615,833,702,511,635,227,722,766,50,318,652,527,378,549,697,470,637,655,759,243,93,416,829,14,52,389,789,651,0,880,80,132,777,295,740,122,82,11,54,896,693,341,601,834,643,508,357,132,192,31,812,117,456,3,50,827,406,617,6,215,614,317,410,496,595,70,892,832,556,705,328,682,739,345,666,361,852,258,191,453,171,32,11,232,501,140,420,72,333,223,231,325,5,853,302,163,506,428,807,659,554,590,10,467,844,272,669,549,561,692,677,259,325,31,269,219,286,677,453,627,825,466,818,215,720,880,636,25,285,3,267,490,844,65,95,137,467,95,584,670,413,358,115,422,222,743,234,543,651,425,594,653,687,157,263,898,544,232,421,291,176,268,856,274,378,27,500,303,683,56,817,849,67,138,397,225,355,609,836,574,277,741,356,231,179,722,696,471,894,218,657,493,337,84,287,674,835,788,107,460,267,646,211,624,388,623,523,727,835,445,335,270,615,149,377,226,368,621,144,689,707,200,434,281,620,871,561,518,389,664,206,864,889,542,744,632,866,163,383,642,328,182,182,494,415,745,331,636,22,398,267,635,625,125,742,285,411,392,671,262,863,23,837,158,201,802,830,758,80,822,621,450,815,376,499,817,738,724,553,826,700,423,825,506,838,605,511,892,801,808,296,751,644,331,434,551,263,499,254,44,191,263,228,560,128,54,391,805,178,229,378,532,531,863,217,592,782,541,25,332,126,404,466,831,692,335,215,221,496,688,630,357,472,798,500,282,52,291,391,833,32,740,48,19,735,438,376,144,889,307,882,323,269,641,650,106,443,670,101,778,19,298,739,185,651,810,540,121,764,400,830,663,592,754,39,605,333,312,776,870,521,253,656,551,222,597,889,598,410,270,362,425,836,590,698,367,394,42,612,768,24,874,851,683,768,707,394,61,162,443,380,454,877,678,73,736,491,758,433,287,201,773,802,712,214,36,502,314,456,646,148,356,689,701,3,195,352,817,1,899,206,67,500,309,736,636,735,555,705,157,133,549,171,357,353,269,445,587,439,557,566,788,879,805,559,609,87,206,8,275,195,741,410,504,310,841,732,663,743,182,859,608,861,495,560,318,337,727,4,559,395,838,787,191,227,409,738,833,513,282,796,363,577,109,157,633,38,81,664,147,128,815,430,380,493,566,306,837,6,179,49,702,50,814,178,487,474,469,63,795,566,426,158,325,390,101,562,259,685,247,831,686,6,656,685,837,866,754,176,496,843,440,851,440,136,26,460,712,364,446,509,431,795,491,211,706,128,743,443,538,883,55,337,874,507,778,19,542,519,505,155,807,730,420,39,620,258,760,474,753,329,479,873,268,664,531,368,424,867,251,509,334,896,815,614,442,668,222,570,237,602,586,565,212,556,439,579,0,262,341,469,516,346,195,803,579,526,125,679,211,524,819,574,577,617,265,123,598,68,883,362,603,279,844,598,516,114,316,715,716,312,220,304,722,575,610,609,498,805,150,98,219,33,368,26,593,559,390,20,412,809,338,678,525,841,217,588,259,331,881,167,168,659,200,736,491,203,420,678,804,359,344,558,838,640,700,802,394,461,638,557,252,471,511,81,826,216,882,501,156,34,387,627,193,227,591,684,179,75,190,192,446,537,404,57,794,638,5,270,797,867,392,377,116,441,78,707,567,317,185,415,24,851,848,577,602,140,416,551,764,704,384,792,119,542,760,231,756,686,209,61,588,512,360,308,95,480,528,565,461,62,164,300,255,601,565,666,861,709,797,477,788,767,156,677,700,283,449,520,518,275,689,545,509,333,167,417,307,427,615,281,747,569,881,437,302,277,2,68,216,756,475,870,204,472,612,620,364,440,600,638,169,346,391,307,686,768,74,830,113,317,658,546,560,54,172,522,604,448,667,98,879,896,879,792,218,374,589,530,767,762,554,442,442,429,266,583,793,592,517,79,427}

6

Returns: 8246
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5

Returns: 9605
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6

Returns: 11636
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6

Returns: 11537
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6

Returns: 11646
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5

Returns: 9596
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7

Returns: 13632
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6

Returns: 11618
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7

Returns: 13480
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7

Returns: 13488
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6

Returns: 11422
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6

Returns: 11669
{607, 347, 742, 724, 125, 18, 472, 58, 701, 506, 929, 433, 720, 553, 426, 749, 992, 529, 208, 506, 680, 63, 337, 814, 764, 324, 613, 437, 283, 65, 134, 643, 525, 913, 191, 103, 432, 225, 355, 734, 67, 233, 443, 717, 787, 825, 11, 467, 13, 167, 853, 927, 552, 350, 786, 366, 416, 547, 124, 832, 62, 724, 612, 620, 834, 710, 354, 486, 266, 486, 965, 893, 5, 445, 244, 728, 263, 248, 737, 809, 758, 124, 391, 625, 468, 776, 752, 839, 89, 138, 387, 437, 769, 462, 540, 223, 247, 545, 530, 582, 610, 915, 578, 238, 951, 949, 28, 968, 234, 886, 376, 962, 882, 90, 494, 238, 663, 290, 245, 400, 231, 94, 220, 293, 407, 463, 876, 127, 94, 896, 562, 937, 357, 798, 246, 873, 906, 269, 202, 687, 453, 140, 372, 941, 455, 6, 2, 289, 867, 674, 673, 542, 275, 537, 652, 560, 582, 113, 559, 25, 350, 790, 796, 340, 181, 312, 843, 246, 179, 911, 497, 406, 937, 454, 936, 323, 655, 70, 974, 531, 199, 273, 877, 265, 902, 229, 499, 321, 735, 349, 626, 360, 148, 469, 469, 900, 948, 445, 689, 185, 402, 135, 161, 603, 997, 807, 769, 395, 776, 974, 965, 756, 957, 26, 880, 640, 197, 606, 813, 907, 736, 875, 664, 883, 29, 308, 62, 741, 423, 782, 897, 697, 867, 647, 144, 161, 135, 279, 716, 349, 550, 808, 427, 313, 393, 724, 152, 895, 636, 589, 353, 740, 619, 76, 22, 541, 129, 468, 439, 194, 521, 985, 402, 573, 894, 853, 944, 345, 557, 60, 600, 653, 570, 579, 198, 307, 737, 889, 761, 358, 544, 722, 379, 67, 434, 887, 517, 138, 57, 708, 996, 720, 861, 983, 969, 419, 943, 965, 691, 409, 700, 959, 535, 853, 47, 580, 740, 700, 946, 59, 893, 331, 539, 766, 109, 193, 284, 687, 971, 779, 836, 548, 784, 73, 416, 457, 753, 328, 376, 747, 587, 372, 453, 363, 864, 232, 844, 235, 104, 403, 295, 673, 118, 55, 677, 31, 946, 529, 199, 515, 451, 865, 70, 132, 839, 370, 600, 765, 266, 616, 474, 530, 602, 357, 541, 225, 505, 986, 68, 711, 410, 298, 653, 134, 827, 566, 587, 373, 337, 865, 66, 161, 104, 583, 8, 665, 244, 255, 164, 982, 954, 256, 14, 789, 925, 409, 871, 621, 495, 826, 496, 189, 484, 358, 346, 917, 358, 588, 426, 101, 249, 672, 273, 224, 686, 290, 142, 835, 784, 666, 463, 124, 433, 897, 116, 495, 881, 554, 299, 570, 50, 218, 266, 919, 525, 102, 572, 119, 473, 103, 434, 614, 607, 837, 651, 238, 129, 719, 475, 40, 953, 992, 449, 788, 241, 822, 125, 562, 770, 129, 480, 92, 468, 726, 895, 127, 791, 444, 895, 772, 344, 878, 113, 845, 12, 231, 113, 241, 57, 847, 563, 22, 779, 808, 426, 323, 977, 116, 172, 952, 194, 560, 915, 471, 380, 389, 861, 189, 770, 338, 158, 820, 356, 93, 741, 443, 977, 573, 857, 998, 88, 605, 378, 589, 595, 141, 537, 147, 216, 93, 695, 516, 393, 501, 887, 504, 658, 999, 245, 190, 414, 145, 713, 561, 384, 950, 779, 282, 845, 751, 374, 801, 212, 811, 656, 706, 635, 210, 715, 611, 239, 174, 470, 968, 455, 374, 612, 20, 619, 391, 765, 915, 243, 855, 556, 432, 562, 165, 537, 28, 510, 516, 172, 933, 572, 396, 673, 774, 384, 164, 601, 827, 847, 478, 963, 659, 933, 849, 353, 4, 392, 676, 572, 335, 556, 707, 858, 257, 168, 184, 530, 995, 10, 655, 627, 214, 307, 433, 824, 606, 991, 843, 419, 836, 271, 562, 778, 786, 61, 773, 990, 737, 347, 536, 308, 240, 655, 320, 234, 552, 195, 932, 668, 681, 923, 114, 603, 534, 229, 284, 274, 489, 65, 435, 921, 785, 418, 450, 904, 221, 393, 656, 414, 690, 172, 652, 223, 313, 489, 668, 898, 471, 235, 948, 268, 394, 895, 696, 984, 904, 552, 157, 908}

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6

Returns: 11451
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6

Returns: 11614
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5

Returns: 9721
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7

Returns: 13558
{671, 737, 52, 255, 332, 894, 560, 125, 22, 712, 661, 693, 816, 361, 189, 521, 989, 224, 258, 572, 406, 507, 352, 94, 827, 514, 111, 169, 608, 646, 14, 109, 366, 429, 891, 196, 121, 444, 128, 638, 152, 355, 213, 922, 324, 977, 725, 205, 431, 907, 608, 209, 873, 708, 374, 440, 429, 118, 15, 967, 276, 598, 467, 497, 648, 655, 517, 603, 424, 427, 212, 284, 794, 360, 243, 617, 198, 910, 202, 627, 657, 162, 442, 133, 93, 495, 897, 745, 803, 593, 958, 138, 168, 657, 555, 336, 284, 128, 839, 706, 620, 843, 448, 948, 39, 541, 798, 83, 901, 660, 211, 810, 803, 147, 140, 41, 982, 960, 728, 232, 309, 111, 407, 142, 836, 211, 935, 946, 229, 27, 717, 283, 709, 935, 57, 383, 901, 99, 124, 506, 491, 36, 541, 861, 684, 567, 416, 649, 87, 225, 403, 819, 95, 134, 869, 930, 541, 172, 953, 163, 501, 684, 814, 81, 141, 754, 240, 582, 535, 747, 430, 985, 458, 758, 350, 588, 471, 639, 905, 108, 346, 573, 596, 838, 777, 981, 247, 186, 1, 207, 236, 470, 745, 179, 373, 393, 910, 453, 31, 594, 566, 503, 238, 319, 926, 950, 914, 174, 470, 456, 925, 813, 680, 978, 191, 152, 916, 450, 53, 878, 349, 592, 130, 289, 527, 668, 483, 159, 944, 425, 171, 318, 284, 140, 839, 733, 498, 52, 772, 778, 754, 475, 215, 593, 957, 445, 59, 7, 798, 483, 388, 774, 858, 175, 956, 870, 446, 477, 937, 717, 846, 429, 437, 392, 880, 417, 987, 439, 789, 649, 426, 30, 109, 719, 792, 857, 203, 132, 434, 544, 175, 937, 755, 26, 398, 945, 87, 109, 975, 527, 896, 495, 868, 594, 68, 28, 781, 362, 276, 464, 687, 383, 705, 901, 659, 924, 57, 184, 743, 30, 401, 853, 585, 457, 747, 40, 370, 753, 706, 942, 890, 776, 424, 936, 215, 669, 830, 588, 576, 983, 896, 131, 374, 108, 785, 190, 26, 982, 688, 935, 173, 530, 762, 573, 581, 396, 677, 105, 449, 227, 683, 293, 220, 755, 616, 923, 816, 100, 605, 671, 64, 195, 509, 525, 854, 876, 390, 417, 676, 447, 954, 273, 748, 844, 707, 254, 868, 157, 816, 243, 644, 136, 827, 112, 835, 430, 795, 625, 704, 679, 247, 726, 674, 173, 606, 795, 950, 704, 897, 167, 3, 544, 317, 749, 458, 123, 249, 939, 399, 339, 882, 804, 938, 180, 648, 197, 736, 35, 933, 288, 310, 751, 474, 554, 974, 496, 265, 785, 868, 707, 507, 373, 813, 612, 876, 479, 999, 500, 427, 277, 698, 153, 570, 359, 615, 493, 90, 991, 762, 942, 941, 232, 749, 124, 531, 867, 673, 99, 853, 662, 405, 928, 213, 261, 741, 550, 739, 666, 467, 539, 452, 175, 809, 824, 414, 469, 89, 251, 794, 613, 957, 670, 33, 25, 218, 816, 106, 555, 651, 967, 604, 887, 936, 406, 187, 386, 875, 752, 856, 142, 716, 908, 874, 969, 989, 978, 485, 694, 593, 940, 793, 958, 119, 860, 151, 328, 945, 575, 200, 84, 901, 868, 948, 825, 638, 27, 375, 367, 710, 639, 824, 272, 311, 106, 918, 205, 197, 28, 173, 51, 784, 21, 432, 391, 481, 582, 351, 453, 310, 646, 678, 887, 467, 990, 310, 918, 41, 565, 119, 342, 133, 280, 271, 561, 733, 166, 707, 418, 404, 247, 857, 813, 82, 51, 48, 179, 869, 310, 970, 778, 468, 601, 512, 321, 799, 546, 381, 139, 801, 100, 833, 35, 103, 197, 956, 882, 166, 926, 919, 22, 88, 19, 137, 728, 652, 108, 187, 718, 214, 62, 550, 11, 65, 821, 298, 957, 851, 196, 768, 581, 986, 565, 113, 547, 983, 998, 233, 126, 783, 470, 872, 885, 216, 222, 677, 511, 484, 307, 448, 83, 80, 58, 381, 780, 205, 959, 793, 109, 965, 475, 680, 996, 858, 534, 277, 942, 102, 4, 401, 342, 287, 591, 946, 761, 579, 485, 809, 8, 61, 886, 289, 424, 629, 150, 443, 548, 278, 737, 916, 468, 444, 691, 477, 886, 389, 458, 859, 826}

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6

Returns: 11440
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5

Returns: 9563
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6

Returns: 11668
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5

Returns: 9552
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6

Returns: 11478
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6

Returns: 11412
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6

Returns: 11588
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6

Returns: 11384
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6

Returns: 11580
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7

Returns: 13296
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7

Returns: 13402
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6

Returns: 11499
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7

Returns: 13384
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5

Returns: 9692
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7

Returns: 13661
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7

Returns: 13355
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5

Returns: 9520
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5

Returns: 9601
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6

Returns: 11595
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6

Returns: 11504
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6

Returns: 11372
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7

Returns: 13103
{361, 140, 319, 81, 561, 112, 734, 677, 960, 135, 420, 418, 358, 855, 797, 859, 160, 871, 228, 405, 675, 950, 215, 984, 877, 199, 149, 850, 721, 253, 499, 57, 62, 481, 360, 155, 916, 738, 639, 773, 116, 657, 365, 174, 518, 356, 389, 149, 432, 813, 519, 804, 944, 936, 604, 317, 862, 228, 306, 627, 338, 884, 915, 357, 530, 414, 857, 462, 846, 147, 374, 402, 535, 586, 963, 488, 984, 257, 791, 954, 528, 320, 245, 193, 936, 888, 652, 997, 155, 465, 39, 403, 41, 582, 853, 989, 564, 100, 580, 938, 489, 728, 152, 874, 953, 664, 857, 546, 316, 197, 904, 811, 106, 587, 813, 226, 776, 984, 826, 995, 81, 109, 66, 176, 831, 67, 264, 701, 151, 566, 955, 108, 414, 823, 791, 923, 994, 21, 628, 747, 434, 354, 317, 161, 944, 659, 860, 477, 115, 573, 515, 385, 68, 537, 693, 264, 843, 183, 774, 304, 855, 547, 794, 547, 939, 671, 12, 484, 612, 785, 264, 371, 533, 653, 362, 922, 450, 179, 69, 131, 883, 584, 994, 45, 489, 370, 699, 77, 221, 125, 955, 277, 119, 38, 133, 735, 946, 182, 537, 297, 912, 561, 893, 884, 69, 855, 528, 64, 373, 99, 138, 923, 508, 648, 694, 613, 51, 48, 88, 410, 773, 860, 11, 517, 318, 124, 526, 663, 324, 553, 917, 230, 527, 714, 425, 547, 981, 314, 955, 441, 773, 689, 414, 234, 316, 286, 598, 496, 682, 856, 785, 13, 83, 752, 657, 54, 360, 501, 963, 401, 960, 31, 369, 566, 80, 428, 867, 916, 494, 78, 714, 680, 91, 506, 155, 848, 998, 959, 817, 770, 554, 473, 971, 783, 953, 618, 629, 783, 3, 768, 209, 393, 846, 70, 562, 601, 3, 850, 860, 892, 74, 762, 573, 453, 42, 425, 623, 514, 510, 799, 12, 218, 45, 847, 375, 454, 854, 772, 643, 71, 11, 312, 131, 726, 580, 200, 308, 404, 763, 336, 523, 10, 269, 691, 65, 809, 909, 52, 275, 148, 673, 308, 717, 321, 2, 849, 195, 938, 565, 808, 715, 398, 388, 162, 360, 866, 540, 422, 961, 773, 655, 560, 901, 731, 558, 342, 876, 797, 644, 909, 868, 847, 549, 789, 515, 558, 380, 271, 843, 126, 822, 790, 173, 212, 368, 749, 380, 29, 9, 393, 296, 59, 759, 206, 457, 699, 393, 381, 876, 556, 926, 138, 175, 934, 446, 219, 670, 997, 502, 91, 199, 562, 959, 391, 426, 404, 629, 684, 263, 344, 21, 260, 479, 94, 178, 782, 548, 142, 210, 231, 213, 653, 27, 850, 857, 83, 411, 403, 725, 210, 636, 549, 439, 254, 976, 568, 481, 80, 205, 503, 773, 720, 988, 757, 262, 117, 214, 261, 592, 926, 1, 87, 895, 943, 649, 176, 325, 541, 379, 566, 785, 711, 674, 844, 75, 412, 365, 21, 685, 43, 691, 784, 80, 496, 657, 750, 504, 106, 550, 287, 69, 396, 230, 659, 831, 314, 66, 384, 162, 78, 690, 225, 773, 379, 624, 855, 466, 97, 132, 894, 263, 369, 321, 771, 583, 250, 961, 881, 671, 468, 835, 768, 145, 833, 197, 335, 836, 243, 262, 857, 940, 186, 168, 943, 583, 442, 609, 335, 204, 328, 175, 309, 565, 926, 750, 979, 933, 839, 736, 267, 586, 719, 423, 98, 278, 972, 636, 814, 39, 358, 931, 852, 546, 237, 444, 284, 470, 33, 877, 614, 462, 77, 235, 889, 333, 454, 13, 813, 297, 62, 375, 509, 919, 747, 757, 351, 957, 458, 894, 640, 699, 854, 332, 554, 373, 479, 104, 140, 347, 291, 77, 528, 446, 188, 989, 69, 883, 644, 206, 186, 632, 218, 21, 130, 184, 746, 508, 36, 600, 352, 681, 624, 93, 546, 405, 780, 708, 533, 560, 35, 227, 152, 133, 116, 535, 271, 670, 563, 376, 205, 335, 215, 789, 510, 370, 653, 55, 635, 104, 120, 845, 373, 300, 803, 428, 747, 406, 662, 647, 355, 830, 414, 388, 671, 745, 979, 91, 527, 192, 884, 357, 166, 371, 539, 972, 259, 634, 394, 842, 365, 908, 665, 900, 747, 655, 785, 364, 107, 598, 756, 627, 720, 710, 178, 787, 869, 901, 525, 197, 608, 333, 67, 375, 666, 107, 885, 398}

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{435, 465, 47, 161, 168, 4, 423, 440, 656, 179, 399, 316, 65, 330, 238, 593, 202, 525, 229, 564, 49, 505, 222, 502, 242, 281, 90, 435, 441, 79, 173, 204, 568, 265, 253, 242, 301, 279, 329, 561, 127, 124, 682, 660, 238, 587, 523, 133, 17, 650, 99, 445, 350, 601, 382, 32, 28, 199, 202, 622, 70, 281, 175, 427, 578, 236, 579, 452, 685, 74, 513, 634, 237, 597, 178, 354, 57, 449, 634, 255, 416, 267, 299, 434, 248, 124, 679, 189, 158, 461, 123, 629, 149, 290, 115, 107, 303, 108, 559, 91, 24, 437, 265, 79, 405, 40, 442, 397, 397, 348, 106, 410, 671, 155, 434, 598, 340, 2, 537, 98, 648, 217, 400, 447, 273, 475, 581, 425, 640, 39, 432, 452, 120, 199, 309, 170, 628, 178, 272, 153, 419, 219, 111, 587, 560, 689, 442, 135, 190, 196, 385, 346, 113, 483, 136, 383, 554, 401, 347, 376, 439, 433, 173, 576, 551, 624, 616, 476, 114, 504, 699, 483, 9, 242, 465, 294, 498, 598, 258, 644, 567, 564, 703, 687, 118, 190, 44, 283, 672, 543, 632, 487, 391, 255, 613, 464, 309, 560, 494, 598, 460, 270, 67, 626, 467, 41, 88, 300, 369, 642, 103, 50, 566, 214, 9, 20, 86, 535, 544, 670, 192, 275, 212, 39, 490, 316, 108, 298, 627, 233, 600, 362, 382, 623, 674, 97, 624, 256, 84, 135, 284, 655, 515, 82, 148, 60, 659, 375, 134, 500, 38, 471, 523, 338, 627, 130, 533, 661, 44, 546, 536, 122, 325, 641, 555, 308, 614, 137, 268, 503, 703, 237, 24, 545, 580, 4, 211, 642, 213, 374, 285, 599, 449, 453, 146, 147, 197, 468, 571, 615, 206, 639, 196, 147, 18, 602, 439, 165, 524, 179, 536, 19, 644, 663, 359, 698, 659, 446, 45, 142, 71, 484, 287, 316, 204, 664, 82, 543, 141, 574, 519, 673, 511, 312, 235, 484, 686, 679, 604, 390, 251, 662, 604, 59, 67, 248, 583, 113, 265, 459, 625, 52, 538, 431, 541, 206, 104, 463, 539, 621, 624, 452, 576, 486, 464, 247, 6, 152, 657, 418, 371, 689, 100, 184, 640, 25, 5, 138, 612, 356, 700, 115, 400, 350, 171, 510, 73, 89, 628, 566, 620, 93, 643, 519, 398, 399, 193, 558, 270, 188, 162, 85, 381, 335, 367, 343, 396, 314, 284, 578, 249, 619, 22, 95, 496, 274, 561, 235, 642, 428, 616, 38, 113, 424, 343, 448, 232, 197, 436, 156, 160, 241, 518, 429, 519, 605, 695, 276, 374, 491, 349, 323, 636, 687, 410, 287, 213, 288, 52, 393, 667, 528, 150, 187, 680, 297, 509, 53, 686, 139, 582, 201, 676, 134, 683, 193, 685, 167, 637, 681, 342, 584, 21, 224, 364, 674, 421, 484, 401, 529, 646, 203, 559, 392, 491, 562, 546, 656, 129, 176, 104, 479, 37, 221, 427, 455, 681, 395, 639, 590, 416, 667, 632, 537, 402, 414, 232, 203, 87, 69, 73, 521, 6, 262, 327, 530, 319, 682, 440, 280, 606, 705, 189, 592, 120, 186, 558, 680, 605, 461, 475, 53, 701, 360, 249, 693, 72, 335, 232, 643, 112, 127, 379, 127, 471, 351, 507, 537, 16, 213, 363, 582, 59, 31, 595, 336, 638, 349, 374, 287, 493, 103, 511, 386, 356, 525, 616, 524, 448, 181, 55, 578, 305, 559, 252, 668, 128, 627, 684, 223, 208, 247, 622, 348, 223, 256, 346, 208, 489, 117, 577, 698, 264, 260, 152, 203, 82, 453, 568, 491, 252, 253, 699, 16, 2, 111, 98, 546, 293, 169, 334, 104, 575, 271, 1, 218, 16, 372, 169, 463, 590, 492, 384, 534, 659, 18, 121, 478, 35, 342, 648, 682, 695, 429, 33, 332, 322, 81, 109, 700, 270, 589, 666, 247, 222, 95, 21, 154, 237, 518, 101, 228, 497, 649, 551, 457, 579, 550, 323, 411, 296, 676, 555, 402, 112, 284, 283, 691, 368, 643, 326, 693, 652, 347, 339, 608, 444, 159, 573, 1, 533, 122, 261, 635, 330, 51, 195, 245, 368, 36, 554, 353, 8, 377, 11, 30, 588, 318, 49, 495, 663, 302, 587, 68, 8, 350, 545, 540, 182, 56, 243, 636, 94, 255, 320, 396, 657, 173, 224, 183, 501, 32, 137, 274, 516, 661, 286, 475, 365, 288, 233, 568, 584, 282, 305, 666, 188, 636, 341, 480, 499, 74, 49, 32, 665, 575, 66, 244, 250, 65, 383, 622, 245, 359, 665, 425, 35, 628, 500, 29, 23, 668, 41, 430, 572, 243, 319, 46, 527, 380, 166, 385, 31, 139, 14, 128, 383, 212, 244, 98, 577, 302, 658, 163, 240, 141, 471, 487, 430, 143, 14, 146, 366, 167, 415, 411, 166, 458, 520, 599, 31, 645, 600, 694, 121, 517, 70, 358, 145, 357, 694, 289, 391, 456, 486, 388, 183, 227, 11, 406, 417, 611, 388, 571, 220, 132, 552, 422, 105, 564, 666, 146, 499, 366, 688, 273, 313, 487, 351, 90, 476, 444, 375, 585, 261, 90, 446, 644, 513, 478, 92, 665, 135, 635, 359, 528, 266, 57, 71, 256, 77, 684, 275, 698, 407, 240, 540, 319, 345, 291, 184, 345, 456, 420, 502, 343, 230, 345, 129, 407, 457, 267, 617, 183, 38, 54, 520, 413, 211, 251, 263, 33, 337, 394, 420, 185, 422, 552, 322, 325, 57, 275, 291, 233, 588, 588, 131, 691, 423, 539, 652, 325, 151, 499, 152, 149, 631, 502, 158, 332, 360, 87, 143, 224, 556, 347, 493, 459, 557, 80, 145, 77, 445, 705, 631, 596, 59, 93, 228, 60, 545, 245, 469, 653, 100, 422, 10, 230, 324, 340, 534, 155, 5, 144, 133, 336, 377, 172, 93, 474, 246, 602, 295, 468, 591, 569, 591, 569, 102, 205, 231, 11, 596, 473, 601, 447, 702, 48, 661, 381, 460, 608, 202, 151, 285, 531, 328, 310, 516, 257, 225, 512, 246, 552, 690, 457, 630, 566, 378, 619, 675, 459, 637, 372, 218, 361, 472, 507, 626, 278}

7

Returns: 13439
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5

Returns: 9715
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6

Returns: 11773
{999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 499, 499 }

{0, 1, 2, 3, 4, 5, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 36 }

{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, 37 }

7

Returns: 12986
{900, 900, 1, 1, 1, 1, 449, 449, 1, 1, 1, 1, 223, 223, 1, 1, 1, 1, 111, 111, 1, 1, 1, 1, 55, 55, 1, 1, 1, 1, 27, 27, 1, 1, 1, 1, 13, 13, 1, 1, 1, 1 }

{0, 0, 0, 1, 1, 6, 6, 6, 7, 7, 12, 12, 12, 13, 13, 18, 18, 18, 19, 19, 24, 24, 24, 25, 25, 30, 30, 30, 31, 31, 36, 36, 36, 37, 37 }

{1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 16, 17, 14, 15, 19, 22, 23, 20, 21, 25, 28, 29, 26, 27, 31, 34, 35, 32, 33, 37, 40, 41, 38, 39 }

7

Returns: 3556
{1, 10, 100, 100, 100, 100, 100, 100 }

{1, 2, 1, 4, 1, 6 }

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

4

Returns: 610
{12, 34, 56, 78, 90, 12, 341, 536, 255, 242 }

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

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

3

Returns: 270
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7

Returns: 13190
{1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1 }

{0, 1, 2, 4, 5, 6, 8, 9, 10 }

{1, 2, 3, 5, 6, 7, 9, 10, 11 }

6

Returns: 18
{100, 100, 1, 1, 1, 1, 100, 100, 1, 1, 1, 1, 100, 100, 1, 1, 1, 1, 100, 100, 1, 1, 1, 1, 100, 100, 1, 1, 1, 1, 40, 40, 40, 40 }

{0, 0, 0, 1, 1, 6, 6, 6, 7, 7, 12, 12, 12, 13, 13, 18, 18, 18, 19, 19, 24, 24, 24, 25, 25, 30, 32 }

{1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 33 }

6

Returns: 1080
{5, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 4 }

{0, 0, 0, 1, 1, 6, 6, 6, 7, 7, 12, 12, 12, 13, 13, 18, 18, 18, 19, 19, 24, 24, 24, 25, 25, 30, 30, 30, 31, 31, 36 }

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

7

Returns: 67
{999, 999, 1, 1, 1, 1, 999, 999, 1, 1, 1, 1, 999, 999, 1, 1, 1, 1, 999, 999, 1, 1, 1, 1, 999, 999, 1, 1, 1, 1, 999, 999, 1, 1, 1, 1, 100, 100 }

{0, 0, 0, 1, 1, 6, 6, 6, 7, 7, 12, 12, 12, 13, 13, 18, 18, 18, 19, 19, 24, 24, 24, 25, 25, 30, 30, 30, 31, 31, 36 }

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

7

Returns: 12188

Statistics

Problem Statement for "BearKRoads"

Problem Statement

Definition

Notes

Constraints

Examples