Statistics

Problem Statement

Definition

Class:

AToughGame

Method:

expectedGain

Parameters:

int[], int[]

Returns:

double

Method signature:

double expectedGain(int[] prob, int[] value)

(be sure your method is public)

Notes

• Your return value must have an absolute or relative error smaller than 1e-6

Constraints

• prob,value will contain between 2 and 1,000 elements, inclusive.
• prob,value will have the same length.
• Each element of prob,value will be between 1 and 1,000, inclusive.
• The probability of beating all levels without dying is at least 10^-6.

Examples

1. {1000,500}

   {3,4}

   Returns: 10.0

   This game has 2 levels. Allen will beat level 0 with probability 1, and he will beat level 1 with probability 1/2. Allen will gain 3 units of gold for beating level 0, and 4 units of gold for beating level 1. Here is an example how Allen could have played the game: He completes level 0 and collects 3 gold. He dies in level 1. He drops the 3 gold at the beginning of level 1. Treasure chest in level 0 is refilled to 3 gold. He completes level 0 again and collects the new 3 gold. As he reaches level 1, he collects the 3 gold he dropped when he first died. Again, he dies in level 1. This time he drops 6 gold at the beginning of level 1. Treasure chest in level 0 is refilled again. He completes level 0 for the third time and collects the new 3 gold. As he reaches level 1, he collects the 6 gold he dropped when he last died. He now has 9 gold. This time he completes level 1 and collects the 4 gold from its chest. As Allen completes level 1, the game ends. He is currently carrying 13 gold. Allen will win level 1 exactly once. It can be shown that on average Allen will play (and win) level 0 twice. Thus, the expected amount of gold he will have at the end is 2*3 + 4 = 10.

2. {1000,1}

   {3,4}

   Returns: 3003.9999999999977

3. {500,500,500,500,500}

   {1,2,3,4,5}

   Returns: 16.626830517153095

   In this game there are 5 levels, and Allen can complete each of them with probability 1/2. Here is an example how Allen could have played this game: He completes levels 0, 1, and 2, collecting 1+2+3 = 6 gold. He then dies in level 3 and drops the 6 gold at the beginning of level 3. Starting again, he completes levels 0, 1, 2, and 3. He will collect 1+2+3 gold for completing the first three levels, then 6 gold for reaching level 3, and finally 4 gold for completing level 3. Allen now has a total of 16 gold. He then dies in level 4 and drops the 16 gold at the beginning of level 4. Allen starts the game for the third time, completes level 0 and gains 1 gold. This time, he dies in level 1. The 16 gold that was waiting in level 4 is now lost forever. Instead, Allen just drops the 1 gold he is currently carrying at the beginning of level 1. In his fourth attempt Allen completes all five levels in a row. He ends the game with 1+2+3+4+5 gold collected when completing the levels, and the 1 extra gold that he collected at the beginning of level 1. The probability of this particular playthrough is 1/(2^(16)).

4. {250,750}

   {1000,1}

   Returns: 1067.6666666666667

5. {916,932,927,988,958,996,944,968,917,939,960,965,960,998,920,990,915,972,995,916,902, 968,970,962,922,959,994,915,996,996,994,986,945,947,912,946,972,951,973,965,921,910, 938,975,942,950,900,983,960,998,982,980,902,974,952,938,900,962,920,931,964,974,953, 995,946,946,903,921,923,985,919,996,930,915,991,967,996,911,999,936,1000,962,970,929, 966,960,930,920,958,926,983}

   {583,428,396,17,163,815,31,536,175,165,532,781,29,963,331,987,599,497,380,180,780,25, 931,607,784,613,468,140,488,604,401,912,204,785,697,173,451,849,714,914,650,652,338, 336,177,147,22,652,901,548,370,9,118,487,779,567,818,440,10,868,316,666,690,714,623, 269,501,649,324,773,173,54,391,745,504,578,81,627,319,301,16,899,658,586,604,83,520, 81,181,943,157}

   Returns: 54204.93356505282

6. {1,1,1000,1000,1000}

   {2,3,1,5,4}

   Returns: 15.001999997998

7. {994,998,991,991,991,991,999,1000,990,995,990,997,998,991,991,990,998,990,996,998,998,990,1000,991,992,992,998,995,993,996,998,990,991,995,1000,996,992,999,994,992,995,990,995,997,1000,995,990,997,998,998,995,991,993,995,996,999,997,997,994,995,992,991,993,992,994,990,990,1000,997,994,1000,990,997,995,990,995,995,997,992,997,990,999,991,994,999,990,999,999,994,990,993,998,995,992,997,991,1000,996,997,998,999,998,994,1000,990,1000,994,992,994,991,1000,994,990,990,995,998,994,992,995,994,999,995,998,1000,990,994,997,998,993,992,993,993,998,993,1000,996,990,996,991,994,997,999,997,990,995,997,999,990,991,1000,998,998,992,998,996,995,992,994,999,992,993,996,993,999,997,998,992,991,993,995,998,994,991,992,996,999,991,996,997,991,993,992,995,998,990,997,993,990,998,992,992,994,995,997,999,992,1000,998,1000,996,990,990,995,997,993,995,992,992,1000,995,990,996,991,995,990,1000,998,993,1000,995,992,995,998,992,995,997,991,990,990,993,993,994,990,998,991,992,992,993,997,998,990,996,994,995,990,998,1000,1000,998,1000,994,997,993,991,993,1000,994,996,992,996,1000,993,990,999,998,996,996,993,998,992,993,996,995,1000,998,997,999,992,997,995,996,995,994,1000,998,994,998,997,998,996,994,993,997,990,994,994,994,990,994,1000,997,992,999,996,992,1000,994,1000,991,995,995,995,993,992,999,993,992,998,998,992,997,990,994,990,993,993,999,991,999,999,992,999,998,994,998,998,999,996,999,991,992,1000,993,990,1000,998,992,1000,997,997,1000,995,1000,990,998,990,997,998,996,1000,993,993,998,990,991,991,992,1000,1000,992,995,993,995,999,990,992,993,991,1000,993,991,997,991,994,999,995,998,995,990,990,994,998,992,997,998,990,990,991,993,1000,1000,994,1000,995,999,992,993,999,992,1000,1000,992,998,991,997,999,992,990,991,994,997,996,998,996,997,990,990,993,995,992,999,998,996,994,992,999,990,995,998,994,993,999,994,998,996,993,992,995,1000,993,990,998,994,990,996,996,995,998,990,993,998,990,996,998,1000,991,998,993,994,996,999,994,998,993,992,997,997,1000,993,996,997,995,992,995,999,997,993,999,991,993,1000,993,994,998,996,999,992,993,995,994,991,992,994,991,997,998,999,997,990,999,999,997,996,992,997,990,990,996,997,994,993,995,1000,1000,993,992,993,991,996,1000,990,995,997,1000,996,1000,992,996,992,997,991,997,999,991,999,995,993,992,996,1000,998,998,997,1000,999,999,991,991,990,992,995,1000,992,991,996,993,994,1000,990,997,999,991,997,992,998,999,999,992,990,993,995,992,995,998,993,994,990,1000,990,992,995,990,998,993,992,998,990,994,991,997,996,994,993,990,995,997,997,994,999,996,997,990,997,993,995,991,996,997,993,993,993,993,993,999,994,998,1000,996,999,999,991,990,990,994,1000,991,998,997,1000,997,1000,998,991,994,1000,990,996,991,1000,992,993,998,998,990,995,1000,997,999,1000,993,990,990,997,990,994,1000,999,994,992,997,1000,991,993,994,995,992,997,996,992,993,997,998,990,990,991,991,998,994,996,993,998,994,992,992,998,998,998,990,990,997,993,994,994,997,997,994,996,992,996,990,990,999,993,996,997,992,996,997,994,1000,1000,998,997,998,990,999,990,995,992,990,997,998,996,990,996,1000,997,999,995,993,990,991,991,1000,992,999,1000,991,996,992,998,993,990,993,995,993,990,993,999,999,990,996,992,994,991,995,998,997,992,998,1000,990,990,997,991,996,999,994,999,1000,993,992,997,995,996,998,997,998,992,1000,995,998,990,998,1000,1000,993,993,995,992,994,990,993,994,990,998,996,991,995,992,997,990,997,995,992,998,990,995,998,991,997,992,991,992,991,999,993,999,990,997,992,993,1000,997,992,990,997,991,990,999,998,990,998,993,994,1000,990,993,995,990,990,995,998,997,996,990,993,999,996,998,996,994,1000,992,1000,998,993,1000,991,1000,990,991,996,993,994,998,993,997,991,991,997,996,994,996,1000,995,999,1000,994,996,999,998,994,998,997,993,998,997,993,996,999,998,995,993,998,990,994,993,993,990,990,996,991,994,994,991,997,998,997,998,991,999,990,998,990,992,994,994,993,998,998,995,1000,997,995,994,999,999,993,999,1000,997,993,999,994,992,995,993,999,994,990,990,1000,992,992,1000,998,998,1000,999,991,992,994,1000,992,998,993,994,997,994,995,998,995,995,994,995,995,996,992,990,998,997,994,998,997,991,991,992,991,990,997,993,995,998,993,996,999,999,991,995}

   {618,754,193,987,956,651,412,120,777,679,324,294,300,822,140,453,503,697,530,996,390,502,867,429,251,503,97,97,406,818,96,267,348,975,792,654,814,958,367,262,80,977,597,58,682,230,733,557,864,304,381,893,246,670,496,311,648,917,972,311,488,18,288,863,927,907,329,207,756,93,821,771,33,868,768,640,689,887,902,821,573,589,465,282,968,908,527,387,182,259,675,838,660,591,151,744,971,593,382,716,179,821,465,203,315,574,338,403,135,867,249,171,889,716,697,311,582,274,145,522,75,43,701,60,440,528,432,860,154,196,122,455,114,533,130,571,917,351,422,626,573,194,16,747,591,872,832,86,409,685,382,373,230,872,819,690,657,164,629,362,955,112,629,729,370,22,10,328,701,915,881,646,252,939,122,193,350,11,413,126,844,320,963,997,415,499,825,535,34,888,654,522,640,352,453,944,928,515,136,598,196,134,701,242,330,556,451,202,339,852,958,61,368,272,407,706,686,137,551,508,23,117,745,903,504,157,443,940,588,950,101,658,657,956,621,278,322,474,384,309,99,127,407,582,822,455,373,172,67,18,116,891,885,504,624,774,361,873,802,560,865,501,29,666,357,599,16,584,817,940,590,936,651,77,810,641,931,752,259,787,475,204,432,848,25,410,914,785,284,73,415,478,133,364,806,648,149,982,24,99,434,107,57,689,863,200,275,901,67,423,53,268,894,644,960,189,575,616,794,879,589,927,407,273,20,775,546,725,259,413,929,254,27,375,383,893,63,244,155,439,277,754,430,511,808,485,712,379,227,289,912,468,80,827,970,755,57,298,322,596,345,519,788,614,144,984,309,397,904,463,491,694,549,966,101,700,872,633,510,805,314,202,548,845,538,258,421,540,570,347,132,270,792,434,313,766,738,853,506,611,478,103,708,664,333,363,409,665,842,558,487,285,146,195,23,858,456,918,526,875,827,967,128,48,270,234,997,452,122,672,612,799,677,159,555,363,313,737,183,484,750,361,846,832,593,890,363,829,32,95,65,714,432,862,89,750,532,617,501,960,178,241,515,629,813,364,297,517,426,23,832,344,332,75,861,669,912,664,205,717,406,283,649,42,973,672,142,204,465,845,278,761,815,62,893,961,479,442,159,513,134,200,696,642,706,232,132,489,840,856,964,545,152,59,789,450,916,505,740,970,397,920,452,397,677,182,1000,896,663,603,15,603,944,447,644,348,293,667,93,968,919,240,240,65,14,200,210,961,751,709,879,327,642,27,956,620,99,280,699,65,113,289,335,351,178,541,921,607,2,583,766,527,81,736,480,674,898,63,424,108,387,907,579,500,305,211,900,776,320,8,750,177,952,172,375,336,992,519,251,596,650,853,762,349,484,378,892,588,108,198,540,251,797,272,604,144,337,316,212,446,937,585,345,810,540,400,617,99,651,572,180,632,642,588,543,634,590,531,602,261,841,226,340,162,915,54,433,77,829,172,511,332,612,637,898,456,591,97,468,346,44,204,680,527,898,942,918,121,503,351,66,48,918,959,587,845,780,362,490,258,572,20,240,397,34,286,75,817,536,107,195,396,460,635,992,195,27,170,807,843,548,511,734,130,782,774,602,609,935,190,612,20,853,209,43,248,125,489,85,345,136,993,122,883,604,452,731,508,758,942,240,143,108,155,958,681,731,230,73,399,65,693,776,551,509,119,399,779,497,637,215,40,348,283,71,705,870,514,229,403,611,901,612,936,702,125,156,287,409,948,128,368,902,723,70,626,228,355,498,57,161,385,614,490,441,966,53,225,861,105,137,240,831,469,191,223,321,417,219,613,547,725,649,701,363,597,920,589,102,176,374,456,485,752,333,168,353,242,214,720,158,337,273,405,559,911,871,853,14,904,175,325,949,911,842,693,950,133,559,583,429,179,283,51,403,456,607,975,315,518,24,84,343,804,718,167,259,644,177,533,714,299,103,257,737,31,51,71,391,928,757,32,762,239,331,251,872,508,394,34,709,653,720,774,267,483,170,788,400,795,519,95,327,370,286,831,831,653,831,574,541,881,787,374,212,689,359,687,578,50,158,732,183,458,1000,13,574,892,538,876,375,12,700,7,61,407,631,726,698,517,259,773,525,975,655,39,3,755,69,353,898,449,912,18,17,440,965,241,469,489,792,993,686,520,666,134,12,939,323,795,335,898,505,150,131,307,571,684,269,241,406,991,104,637,494,944,735,801,308,811,736,326,62,510,364,436,516,754,995,696,741,236,510,238,649,419,460,363,673,671}

   Returns: 616420.7693908726

8. {413,906,533,385,459,726,754,291,422,690}

   {528,843,731,105,177,982,35,178,3,875}

   Returns: 5369.094992108521

9. {633,370,721,772,977,479,621,273,661,847}

   {491,595,416,992,106,854,141,109,173,984}

   Returns: 5838.500590172363

10. {583,536,651,968,951,278,881,978,668,337}

    {262,641,766,194,123,570,823,620,318,936}

    Returns: 6050.596071859011

11. {414,802,929,830,942,885,605,576,314,583}

    {685,563,851,288,931,550,93,435,172,109}

    Returns: 6042.26372706318

12. {501,483,874,269,659,379,335,730,395,317}

    {196,851,805,728,549,731,191,722,92,913}

    Returns: 6451.713818551294

13. {988,1000,937,1000,899,950,996,908,880,988,927,908,956,985,934,977,875,937,954,880,927,892,983,952,922,983,962,901,1000,979,884,932,989,897,911,991,966,878,966,947,875,949,914,881,990,988,927,878,924,976,965,897,995,968,924,897,901,898,993,889,902,991,880,948,991,964,962,873,997,954,887,876,931,967,895,911,942,930,897,978,923,978,871,981,945,989,945,969,916,935,937,906,931,887,945,886,914,922,928,887}

    {258,480,890,439,654,750,762,682,72,515,663,493,801,726,278,110,360,904,163,353,701,342,475,749,910,43,550,100,409,834,480,389,123,483,802,506,859,712,244,907,189,470,988,999,449,922,286,725,86,163,383,555,484,825,600,855,542,351,131,388,773,922,570,520,390,731,433,574,896,513,988,624,960,66,487,986,961,745,533,556,440,793,649,164,842,727,297,99,335,882,539,8,227,666,213,438,464,38,63,412}

    Returns: 65786.05546353516

14. {997,896,932,937,888,940,945,900,946,920,910,905,927,907,955,895,977,872,959,928,965,985,896,956,968,901,976,878,986,976,985,914,970,949,940,964,974,872,875,911,915,880,997,911,883,932,960,884,944,951,992,981,922,940,889,941,972,910,881,922,891,887,926,946,973,901,983,927,895,897,943,942,931,943,939,882,924,974,900,912,978,922,989,871,899,971,952,920,966,946,966,985,972,887,911,989,991,921,960,983}

    {895,264,450,156,18,725,372,445,462,713,752,894,627,418,976,387,540,292,30,741,793,635,378,922,536,550,140,458,321,524,792,309,136,972,664,666,784,586,344,334,895,444,770,563,233,448,133,480,639,810,958,545,903,971,666,776,101,586,686,854,440,896,723,584,448,147,78,622,451,464,36,812,598,957,208,954,387,705,353,336,506,644,669,920,76,332,749,597,812,16,395,589,409,435,279,659,520,293,982,481}

    Returns: 63151.22219519137

15. {999,924,911,898,951,891,993,879,968,982,894,911,976,931,958,897,988,904,990,970,965,937,875,950,948,983,900,941,911,936,980,974,908,991,886,952,917,924,953,873,951,906,951,885,892,915,956,906,912,991,937,935,992,906,960,897,933,880,909,927,929,954,910,953,884,982,937,946,1000,894,975,875,988,941,892,875,947,871,942,878,957,892,886,951,885,977,984,881,960,971,921,884,976,963,932,904,890,951,991,870}

    {154,84,114,663,303,186,250,482,287,423,983,382,894,838,947,706,347,116,61,753,374,326,70,554,395,540,402,43,546,616,760,416,855,25,1000,261,797,692,741,742,601,506,867,955,163,314,500,368,131,921,344,124,767,892,265,864,466,677,834,635,410,935,125,420,688,746,452,761,351,754,886,10,294,221,307,725,574,371,519,849,744,374,384,381,52,821,288,390,902,557,256,404,821,291,914,367,244,503,100,627}

    Returns: 58005.64360367406

16. {985,971,917,954,872,978,964,922,896,897,885,981,970,979,949,880,925,904,874,886,977,988,886,882,991,896,880,912,973,875,939,883,928,950,955,958,879,925,901,901,919,972,898,951,986,999,954,937,928,874,930,915,927,919,921,968,919,928,891,908,897,976,981,959,968,948,951,948,920,964,912,886,897,916,896,904,997,894,877,913,950,970,912,935,897,937,903,989,990,963,885,954,893,931,940,983,975,968,923,917}

    {754,93,647,834,335,303,826,331,361,41,239,384,208,281,152,369,165,826,152,986,354,608,310,809,589,537,478,141,927,321,500,658,354,829,244,606,987,211,395,651,426,257,644,830,385,178,473,418,545,271,53,981,655,763,829,277,236,434,295,196,939,511,75,408,469,694,886,929,236,154,174,408,374,752,222,520,498,761,290,480,676,870,942,386,374,330,28,765,755,662,937,434,630,491,639,564,490,697,715,592}

    Returns: 58432.84495685526

17. {939,905,876,931,910,998,885,947,961,887,976,952,879,952,947,917,908,955,910,959,973,906,933,960,931,954,981,883,890,886,886,998,929,948,929,995,938,941,950,912,969,946,925,910,978,959,942,891,911,895,892,978,927,952,899,899,943,879,954,910,876,979,989,952,971,880,936,883,879,872,914,905,893,897,993,970,895,966,928,974,953,967,932,918,989,910,997,994,985,915,942,904,913,970,951,872,961,994,932,907}

    {583,60,690,591,512,800,34,631,500,676,425,976,108,855,32,6,488,370,645,945,693,490,346,655,750,742,231,619,410,250,383,400,270,754,548,677,936,947,14,868,217,503,982,252,923,507,336,454,676,817,76,137,314,263,858,743,870,486,985,181,823,645,969,415,290,198,223,16,120,438,774,880,371,494,925,472,493,75,645,145,655,309,95,336,35,638,99,668,572,919,567,306,631,507,833,208,268,353,643,293}

    Returns: 58290.954392939195

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    Returns: 686175.7290040253

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    Returns: 676864.9664403663

20. {996,995,996,995,996,998,1000,996,999,998,994,999,998,995,997,995,1000,997,999,997,995,997,996,999,1000,996,999,995,999,998,997,994,994,998,999,998,994,999,1000,999,999,1000,995,997,997,997,995,999,995,999,999,999,994,998,999,1000,996,998,996,994,999,998,996,1000,997,994,997,999,996,997,997,994,995,998,998,999,998,999,998,996,994,996,1000,999,997,994,994,996,999,999,996,996,994,997,994,995,994,997,995,999,998,997,994,995,997,994,999,995,997,998,1000,999,997,998,998,997,999,999,997,995,1000,995,1000,998,998,996,999,996,998,998,999,997,1000,994,994,996,995,999,998,997,997,998,994,999,1000,995,996,995,1000,999,994,994,994,999,995,999,998,997,997,995,997,998,996,998,995,1000,999,999,994,1000,996,997,995,1000,999,994,994,999,994,999,996,998,996,994,1000,994,1000,996,996,994,999,1000,1000,998,998,994,998,996,995,995,996,998,999,996,999,997,998,994,994,1000,999,996,999,998,998,998,994,998,1000,998,999,998,997,1000,996,998,996,996,994,1000,999,994,995,994,1000,1000,995,997,1000,999,996,995,997,997,999,997,996,997,998,996,998,998,997,998,996,998,999,997,998,994,998,1000,996,1000,999,998,999,997,997,996,999,996,998,995,994,997,994,1000,1000,996,1000,997,994,995,996,995,1000,998,995,999,996,996,999,999,1000,999,997,994,999,1000,996,999,999,995,994,999,996,995,995,994,1000,996,999,998,996,1000,1000,995,998,997,997,1000,994,998,998,994,997,999,994,995,995,995,998,998,1000,995,994,994,999,997,999,995,997,995,998,997,994,998,995,999,998,996,1000,999,998,996,1000,999,996,1000,996,994,999,1000,1000,996,1000,1000,995,997,994,998,996,996,1000,1000,995,1000,995,998,1000,997,994,995,997,994,997,997,998,996,998,994,996,998,994,999,996,999,997,995,995,994,996,998,997,995,995,998,997,999,995,994,998,996,994,997,998,996,996,999,995,1000,995,1000,1000,994,996,999,999,997,996,995,997,996,999,995,996,997,998,995,998,999,1000,997,996,1000,998,997,1000,996,995,998,999,997,994,999,998,999,996,1000,996,999,995,995,996,994,994,994,995,996,996,994,995,996,995,996,997,999,1000,994,996,999,994,1000,996,996,999,995,994,996,998,996,996,999,997,997,1000,999,996,995,996,995,996,995,995,994,998,998,994,998,997,997,1000,998,998,995,998,997,998,998,998,1000,996,997,998,999,999,1000,995,999,994,997,995,999,995,1000,996,995,995,997,1,998,994,999,994,1000,995,997,999,995,995,998,995,997,997,996,998,997,997,994,995,1000,995,998,996,995,998,995,997,1000,995,998,994,1000,994,997,996,995,998,996,998,1000,996,995,994,999,995,996,998,1000,998,995,999,998,998,1000,998,997,996,999,994,997,995,996,997,995,996,998,994,998,999,998,1000,998,996,994,994,995,1000,995,994,999,996,997,999,996,997,999,998,999,995,996,995,996,1000,995,997,999,997,997,997,998,1000,1000,997,997,1000,1000,1000,999,1000,1000,998,999,999,1000,998,994,1000,997,995,997,995,998,1000,999,994,998,1000,998,1000,995,994,995,996,998,998,994,994,999,994,996,995,999,997,999,998,999,999,997,997,994,999,994,998,998,997,998,994,996,998,996,995,1000,994,998,999,997,994,998,1000,999,994,1000,995,997,995,995,997,994,996,994,995,997,995,999,996,1000,994,1000,994,998,994,997,996,999,997,998,996,994,998,1000,999,1000,995,995,994,997,1000,995,994,997,999,1000,994,996,995,1000,997,994,997,994,997,998,994,996,995,996,999,998,995,1000,1000,1000,995,999,998,1000,998,998,1000,995,1000,997,997,995,995,998,995,1000,999,997,1000,999,994,995,998,996,997,998,997,997,995,994,1000,999,994,995,997,996,996,996,998,995,1000,999,995,996,996,1000,995,994,999,995,997,1000,999,997,1000,998,997,994,999,994,999,997,999,999,995,999,996,996,1000,1000,994,999,995,998,1000,995,999,999,994,994,998,996,1000,999,995,996,995,998,997,994,994,996,999,997,994,994,997,994,997,998,998,995,1000,996,1000,999,995,998,996,1000,995,998,998,996,997,997,999,999,995,998,998,997,996,998,998,997,994,996,1000,1000,995,994,994,996,998,997,999,1000,997,995,1000,998,999,997,997,994,994,995,995,996,996,998,998,998,994,998,998,999,998,999,998,997,1000,997,999,1000,994,994,997,998,994,995,997,997,995,1000,996,1000,998,997,997,994,995,1000,997,998,995,998,999,1000,998,1000,999,996,994,998,999,999,998,998,994,999,994,1000,998,1000,999,999,995,1000,1000,999,996,995,995,996,994,995,994,996,1000,997,999,994,998,998}

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    Returns: 698660.886522313

21. {999,997,996,998,999,997,997,998,999,997,999,997,1000,998,998,998,999,996,996,996,1000,1000,996,999,996,999,998,1000,997,997,1000,997,999,997,999,999,1000,997,998,996,998,1000,997,999,1000,998,999,998,1000,997,998,998,998,1000,1000,996,997,997,999,998,998,998,997,1000,998,999,998,997,996,996,997,996,999,997,996,999,1000,1000,998,997,997,1000,997,996,1000,1000,1000,1000,996,997,996,1000,999,998,997,996,996,998,998,996,997,999,999,1000,999,996,997,998,999,1000,999,999,996,999,996,996,999,997,1000,1000,998,997,1000,1000,997,996,996,1000,998,998,999,1000,998,997,998,999,996,1000,999,998,996,997,1000,997,999,1000,996,1000,1000,1000,999,1000,1000,997,998,1000,1000,1000,998,999,998,1000,997,997,1000,999,998,999,999,997,1000,1000,997,999,999,997,998,997,997,996,1000,1000,997,999,996,998,998,998,1000,1000,997,999,996,999,996,997,999,996,999,997,1000,996,1000,997,996,999,999,1000,998,998,998,996,996,999,996,998,998,999,997,998,999,996,998,999,1000,1000,998,997,1000,998,997,996,996,1000,996,1000,1000,999,996,996,996,997,999,997,999,997,996,1000,999,996,996,996,998,998,996,996,1000,997,1000,1000,1000,997,998,996,996,999,996,998,999,998,997,996,997,997,998,999,998,998,999,997,996,999,996,996,997,997,997,1000,999,998,999,1000,999,998,997,997,996,996,997,997,997,1000,1000,996,999,996,998,998,998,998,998,999,997,996,998,997,998,997,999,996,996,999,998,996,998,996,997,996,1000,996,998,1000,996,998,998,999,998,998,1000,999,997,996,996,1000,997,997,996,997,999,1000,996,997,996,998,999,997,999,999,997,999,996,1000,1000,996,999,1000,998,997,1000,997,999,1000,996,998,1000,998,1000,999,999,998,997,998,1000,999,997,996,996,1000,996,996,996,999,997,999,1000,998,1000,998,997,998,998,996,998,1000,999,996,999,999,997,1000,999,999,998,998,999,1000,997,996,998,999,999,1000,997,996,1000,998,1000,999,996,999,997,998,1000,999,998,998,998,998,996,998,1000,996,1000,999,998,1000,998,1000,1000,998,998,998,999,999,999,999,998,996,999,1000,1000,997,998,996,1000,999,997,997,998,998,999,1000,997,999,999,1000,998,999,996,999,1000,996,998,997,999,996,998,996,999,999,996,996,1000,999,1000,999,997,998,998,997,1000,999,999,999,996,1000,999,998,999,999,996,4,996,996,1000,996,999,999,998,999,996,998,999,1000,997,1000,1000,998,999,997,997,996,1000,996,996,1000,999,998,998,1000,997,996,998,1000,996,999,996,999,1000,997,999,999,998,997,996,999,1000,997,997,998,996,998,996,996,1000,1000,1000,999,996,996,997,10,1000,1000,1000,996,998,999,1000,998,996,1000,998,996,996,998,999,997,998,999,1000,999,999,999,996,997,996,999,999,999,996,996,998,999,999,996,1000,997,996,999,999,998,996,997,999,997,997,996,996,998,1000,997,998,1000,999,996,1000,998,996,997,998,998,996,996,1000,997,999,1000,1000,998,1000,1000,996,997,1000,999,997,999,1000,997,999,998,997,999,1000,999,999,999,997,1000,998,996,997,996,997,996,1000,997,999,998,998,1000,999,998,1000,998,997,998,999,1000,999,997,997,999,997,996,999,1000,998,997,1000,1000,997,996,996,1000,1000,997,998,998,998,1000,998,1000,998,997,997,996,1000,998,999,1000,1000,997,1000,999,1000,1000,999,999,1000,1000,1000,999,998,999,998,996,1000,999,1000,998,999,998,998,999,1000,998,1000,998,998,997,999,998,996,999,1000,998,996,998,1000,999,998,998,998,996,998,999,999,997,999,996,996,997,999,1000,1000,996,998,1000,998,998,996,997,997,998,998,996,997,996,999,996,1000,1000,997,998,996,996,998,997,997,997,997,1000,996,999,999,997,997,998,996,1000,997,996,999,998,998,996,1000,999,997,999,1000,999,996,996,999,996,999,998,1000,996,997,999,996,998,996,998,1000,999,996,997,999,1000,999,996,996,997,1000,997,1000,996,1000,996,1000,1000,998,998,997,996,998,996,998,1000,997,999,998,1000,998,996,999,998,998,998,999,1000,998,997,999,996,999,997,999,999,998,998,997,996,997,1000,999,999,998,999,1000,997,997,997,999,999,996,997,996,996,1000,997,999,1000,997,996,998,1000,999,998,999,999,998,1000,999,999,999,1000,998,996,998,997,999,997,1000,998,999,1000,996,1000,998,1000,1000,1000,997,999,1000,1000,996,997,999,996,997,999,997,999,998,998,998,998,1000,996,1000,999,1000,1000,999,997,997,998,998,998,998,1000,997,996,998,999,1000,1000,998,999,998,997,1000,998,1000,998,998,998,999,998,996,1000,996,998,996,999,1000,999,1000,996,1000,999,999,999,996,998,997,996,999,998,996,998,999,999}

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    Returns: 767868.8646531303

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    Returns: 797254.5472138032

23. {999,999,997,1000,998,999,997,1000,998,1000,996,996,999,998,1000,999,996,1000,1000,7,998,1000,998,996,998,999,998,997,997,1000,999,997,999,999,996,999,998,997,996,996,996,999,998,997,1000,997,998,997,996,997,1000,999,997,998,996,999,998,999,1000,996,996,998,1000,996,996,998,999,996,999,1000,1000,996,996,996,999,997,999,997,999,998,996,1000,997,996,999,999,998,1000,996,997,999,998,1000,1000,998,999,998,1000,999,1000,1000,1000,996,999,999,1000,999,1000,998,999,999,998,999,1000,999,999,998,996,997,1000,999,997,996,999,996,1000,998,999,998,1000,1000,1000,998,997,1000,996,997,997,998,999,999,997,996,998,996,997,996,999,999,999,996,998,996,996,997,999,997,998,997,997,996,998,996,998,996,997,998,999,1000,998,1000,997,998,1000,998,1000,998,998,996,999,999,998,999,997,1000,997,996,996,997,1000,998,997,1000,999,998,998,1000,997,996,998,999,1000,998,997,996,1000,998,1000,998,996,996,999,997,997,998,999,999,997,999,996,998,999,999,997,998,999,997,1000,996,999,997,998,999,1000,997,999,1000,997,996,997,1000,997,996,999,998,997,999,997,996,1000,999,996,998,999,998,997,1000,998,999,997,1000,997,999,1000,1000,996,997,999,999,997,999,997,997,1000,998,999,1000,998,996,997,998,998,996,997,998,997,999,1000,997,999,996,999,997,999,996,996,996,996,1000,997,997,1000,997,999,999,999,999,998,999,998,997,999,999,998,1000,996,1000,999,996,999,998,998,1000,999,1000,998,998,996,998,999,1000,996,996,1000,1000,997,998,1000,999,997,1000,999,1000,998,999,999,996,996,996,1000,998,998,1000,997,1000,998,1000,1000,998,998,996,998,1000,998,997,997,997,997,997,997,996,999,997,1000,1000,999,997,998,996,997,996,999,999,997,999,996,1000,999,996,997,998,999,998,999,999,999,1000,998,1000,1000,999,996,999,999,1000,996,997,1000,998,998,997,998,997,999,999,998,999,997,999,999,996,1000,996,996,998,997,997,1000,996,999,999,998,996,998,997,1000,1000,997,997,1000,996,1000,999,998,1000,1000,1000,996,997,998,998,997,996,1000,997,998,997,998,999,996,999,999,998,999,998,999,1000,996,997,997,996,1000,998,1000,996,998,996,999,997,998,999,998,1000,997,996,999,998,999,997,1000,997,999,996,997,998,996,999,1000,999,996,998,997,999,1000,998,998,999,996,996,998,997,997,997,997,996,996,998,1000,999,998,998,996,998,999,998,1000,996,1000,1000,997,996,996,998,999,996,996,999,999,1000,998,999,997,999,996,996,996,996,1000,998,996,1000,1000,1000,997,1000,996,996,997,999,999,997,997,999,996,997,997,1000,1000,999,999,999,996,999,998,999,997,998,996,999,998,998,996,998,997,998,996,999,997,999,997,997,999,997,996,996,1000,1000,999,996,996,997,999,996,998,997,1000,999,1000,1000,997,996,1000,996,997,999,997,1000,996,997,996,1000,996,996,999,999,999,997,997,996,999,997,998,997,999,1000,998,997,998,997,999,998,999,1000,996,996,998,998,1000,996,997,1000,999,999,997,997,1000,996,996,1000,998,999,999,996,996,999,996,998,996,997,996,996,997,1000,998,998,999,997,996,1000,998,999,997,996,996,996,997,998,997,996,998,997,997,1000,998,1000,1000,998,1000,999,996,999,997,996,998,997,998,1000,996,997,997,1000,1000,999,996,1000,998,1000,996,997,996,997,999,1000,1000,1000,998,997,1000,998,998,999,997,996,997,998,1000,999,1000,997,999,998,998,998,1000,996,997,997,996,1000,997,997,997,996,998,998,996,1000,997,996,999,996,1000,996,997,1000,999,999,1000,998,1000,998,999,997,999,1000,1000,997,999,999,996,997,998,1000,998,998,997,997,997,996,999,996,999,996,999,1000,997,997,998,997,996,996,999,998,999,998,998,998,997,1000,999,996,996,999,998,1000,998,999,998,996,1000,1000,996,1000,997,1000,996,1000,996,999,998,997,1000,998,998,1000,998,1000,999,997,999,1000,1000,996,1000,1000,999,997,1000,997,999,1000,999,996,998,1000,997,996,999,1000,999,997,999,1000,997,996,999,997,998,998,999,998,999,998,998,998,998,996,997,997,997,1000,999,999,997,1000,998,999,996,1000,997,998,997,998,997,1000,996,997,998,999,998,999,997,999,1000,999,996,997,999,1000,999,998,999,999,997,997,997,998,996,999,997,997,997,998,1000,1000,996,996,998,998,1000,997,997,999,997,1000,999,998,999,999,999,999,998,999,996,997,996,996,998,996,1000,998,998,999,997,996,998,997,1000,999,997,996,996,999,996,999,997,999,998,998,999,5,999,999,1000,996,999,999,998,999,996,998,999,996,1000,998,999,998,998,996,996,999,1000,999,999,997,999,1000,1000,997,997}

    {967,5,282,28,946,714,321,487,863,716,586,58,156,866,74,829,510,67,369,506,768,562,163,449,137,748,433,76,72,755,592,373,120,123,520,154,537,868,86,997,647,118,693,505,796,269,390,643,203,335,314,435,208,732,583,229,192,250,255,57,937,399,661,378,287,605,233,618,780,958,916,495,335,373,427,39,175,28,876,633,909,888,751,110,117,9,839,184,818,16,454,8,926,857,245,704,185,478,911,61,77,540,436,417,902,691,778,948,556,167,550,203,550,733,887,736,435,8,576,121,133,300,531,464,641,915,847,767,174,772,37,158,110,869,475,11,39,741,767,497,788,649,518,926,554,622,944,519,194,855,874,953,243,217,942,62,491,775,197,601,786,320,946,864,278,838,334,236,509,763,116,494,558,637,59,759,6,477,651,539,586,765,137,225,212,470,407,729,568,942,961,702,515,797,946,914,397,186,307,918,736,922,179,91,897,8,961,508,68,52,985,873,283,862,242,894,290,336,461,110,781,356,693,116,853,16,678,570,635,947,456,154,661,913,118,850,937,117,103,547,634,854,156,964,1,261,938,358,383,894,251,261,234,787,51,783,577,471,732,614,711,145,625,960,838,822,333,51,911,805,283,778,245,313,849,248,319,389,485,732,778,511,592,576,854,468,250,125,280,133,511,601,332,752,714,183,780,227,130,249,412,669,308,855,247,202,711,22,747,559,552,378,117,568,270,974,275,984,769,890,165,492,342,351,887,882,200,646,563,557,657,88,896,569,322,640,205,303,95,567,41,800,365,684,620,443,587,336,966,410,314,238,73,853,848,699,394,245,906,556,670,701,77,356,438,391,394,928,561,327,43,520,773,927,100,89,558,747,172,188,608,699,22,88,776,877,552,491,683,844,20,158,93,859,993,299,736,63,344,408,548,85,530,497,148,870,527,368,980,799,24,633,729,319,921,703,509,377,752,832,849,929,371,634,678,652,129,176,366,814,832,878,351,903,951,966,69,247,911,150,682,361,820,540,580,139,635,533,758,361,627,580,934,192,944,259,728,479,251,72,286,691,690,715,515,294,861,365,457,190,151,708,432,619,463,976,266,572,347,309,294,327,604,98,879,224,653,807,847,121,351,958,595,317,501,586,610,877,964,479,817,420,180,977,448,414,887,891,128,956,2,379,463,807,973,247,708,209,360,198,43,599,67,997,532,905,438,418,141,545,352,58,57,574,609,840,114,724,106,52,369,196,769,300,717,158,752,636,979,877,147,406,74,280,363,106,734,525,341,610,706,882,996,692,552,775,621,652,960,394,515,228,936,651,746,682,405,610,799,115,466,705,838,613,46,234,457,765,741,611,57,504,411,837,482,931,467,465,120,19,882,119,448,625,652,273,920,274,807,559,175,528,112,365,765,607,264,838,994,78,752,725,15,93,532,637,4,659,318,472,124,828,619,675,971,572,591,989,373,308,419,108,766,704,214,425,792,443,330,639,477,80,626,572,64,996,420,961,599,714,793,342,411,523,473,402,939,451,711,346,743,92,491,865,136,709,868,301,585,338,490,450,940,298,140,261,558,666,668,356,642,761,820,909,414,636,283,931,298,887,735,393,928,842,811,983,650,338,661,453,132,830,234,716,876,562,494,819,681,861,522,906,578,416,882,125,367,563,652,169,634,178,278,825,49,785,745,457,835,868,615,841,512,181,145,117,417,61,63,951,39,356,538,153,918,615,585,131,702,593,419,533,979,983,229,362,653,489,519,668,994,50,376,620,919,28,997,423,754,656,407,55,487,913,495,264,474,236,478,584,692,187,378,423,856,253,378,395,175,460,757,174,72,360,659,93,930,287,103,600,821,438,519,485,215,493,559,450,852,974,117,232,348,504,261,962,588,422,301,868,643,981,268,757,767,492,942,910,25,306,915,172,217,537,337,61,80,723,691,637,185,462,382,740,563,184,953,973,846,832,484,420,637,205,79,716,898,108,402,518,361,272,871,820,384,183,493,836,188,613,307,381,129,641,49,765,510,371,970,213,449,427,708,768,500,489,726,408,17,836,115,864,788,858,495,244,35,14,322,103,730,522,194,43,99,384,604,278,285,996,182,850,422,681,675,350,789,995,784,49,274,513,494,341,123,132,745,268,827,638,114,664,61,371,666,201,759,369,308,144,805,300,784,200,290,786,891,208,991,522,660,749,531,685,980,991,668,706,613,192,295,440,623,338,36,110,978,325,760,198,521,946,951,618,525,706,636,86,793,129,476,602,623,815,726,355,990,955,982,144}

    Returns: 757252.1328896367

24. {1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,599,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,149,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,934,969,986,937,978,991,904,999,991,999,963,941,943,973,954,986,937,946,919,908,965,953,972,986,903,923,971,906,983,998,944,997,932,982,979,926,991,903,939,952,942,901,958,930,935,983,927,904,932,906,938,974,902,923,921,971,907,983,936,988,983,908,985,900,965,939,929,960,969,940,914,953,970,935,922,933,932,914,904,997,935,939,957,938,993,923,960,957,946,927,902,997,955,989,991,981,931,917,924,992}

    {942,635,265,927,461,912,246,723,120,438,253,698,275,691,24,401,903,747,579,469,448,253,687,511,133,554,140,306,363,625,174,94,433,689,331,988,273,857,484,494,616,915,785,961,553,418,772,287,158,595,971,612,528,151,878,798,322,980,355,453,637,953,101,911,857,389,55,60,929,595,287,168,362,824,190,875,151,336,545,354,716,811,355,206,924,232,160,67,197,481,927,34,773,328,517,970,169,204,127,463,8,108,109,716,465,291,40,926,700,894,930,770,846,553,39,478,280,81,839,574,166,758,284,785,490,385,697,818,117,271,266,652,707,503,351,757,691,401,556,189,884,848,773,808,730,253,235,966,619,279,936,908,197,115,659,743,97,965,224,336,49,667,538,636,923,816,457,996,832,539,484,814,81,123,840,362,390,16,502,67,543,334,407,568,306,917,93,848,263,108,772,368,955,937,920,642,578,73,260,931,311,977,223,745,254,935,720,700,861,268,437,817,690,863,609,784,288,301,686,798,32,297,139,607,769,863,108,32,203,590,576,789,43,709,197,705,95,156,989,472,611,658,606,941,437,22,25,583,707,140,96,146,90,949,525,730,912,496,589,462,760,532,47,730,548,541,488,420,413,935,610,976,215,204,738,136,857,185,233,117,127,255,293,659,281,162,72,777,95,423,945,306,730,716,237,290,308,423,704,96,779,566,594,658,281,695,164,614,917,878,121,230,603,876,557,914,376,704,638,793,364,297,425,312,433,672,979,76,381,41,110,148,417,604,907,877,616,339,503,891,937,958,361,281,410,351,732,159,86,259,836,702,397,607,752,523,616,941,965,716,257,651,3,177,343,235,626,910,658,665,598,827,295,41,129,214,31,116,723,406,332,920,310,449,54,707,190,442,273,636,595,52,973,167,336,198,760,894,348,213,140,668,712,919,375,188,71,881,396,898,252,790,757,930,272,379,175,84,858,441,732,247,69,588,470,497,597,115,698,130,847,929,18,212,960,837,779,833,528,611,360,182,855,170,500,678,283,872,626,891,289,434,980,696,733,185,204,131,933,455,903,732,977,648,644,678,1000,213,774,960,1,35,445,922,133,980,205,939,285,230,597,714,250,787,242,640,673,10,7,976,527,336,985,87,836,414,183,864,970,689,1,541,873,154,821,502,255,334,291,371,881,803,153,598,799,485,813,33,562,727,198,448,223,704,804,806,170,983,296,134,678,197,426,211,377,659,545,950,711,375,471,254,872,382,26,326,604,545,133,926,751,950,941,800,401,804,114,590,27,335,53,818,42,506,548,201,819,509,43,397,306,884,512,487,34,826,669,938,503,685,118,524,616,935,858,719,108,911,453,345,671,432,113,859,774,10,847,518,46,743,847,790,417,124,259,829,155,949,550,507,318,234,743,494,152,526,888,155,428,304,286,555,734,223,140,718,322,766,494,376,162,560,580,855,493,948,896,391,314,653,702,164,919,302,863,517,820,353,397,411,109,500,398,897,623,908,482,516,57,787,303,878,506,634,191,308,804,153,467,384,413,312,518,373,539,189,299,98,638,280,539,483,443,723,533,110,184,443,93,438,713,582,933,941,863,689,442,318,443,77,639,104,962,405,803,454,333,57,164,617,528,95,868,640,389,639,284,114,598,303,702,384,72,943,344,485,940,319,642,217,577,455,721,186,109,401,67,358,197,842,443,638,910,465,192,267,949,329,241,376,550,483,239,863,908,987,504,859,82,59,631,463,950,522,927,87,924,892,79,693,829,415,821,463,547,124,694,948,792,519,375,532,627,767,507,148,169,448,337,519,244,705,19,851,629,363,898,834,928,976,656,994,39,4,765,940,641,325,281,806,136,56,687,249,982,229,105,670,423,213,932,965,209,890,667,978,10,520,465,18,880,894,722,253,320,855,848,514,175,533,203,88,868,636,93,351,235,994,601,673,538,114,993,918,60,899,426,951,66,839,666,35,803,908,596,689,654,148,333,538,509,373,908,3,922,783,570,180,635,249,954,109,627,971,549,751,897,747,121,350,850,575,15,580,273,443,545,775,581,160,1,825,227,827,156,806,906,72,545,218,467,498,188,790,235,875,902,168,808,492,786,443,244,747,13,389,946,462,580,510,508,686,227,456,226,678,376,141,979,615,538,956,706,74,315,785,774,735,834,140,90,816,148,643,962,736,922,235,344,106,506,948,278,696,314,833,68,207,280,619,970,777,54,8,926,897,505,72,217,64,62,78,715,838,367,223,798,141,775,168,885,576,217,967,977,255,68,988,570,141}

    Returns: 1526913.0929473492

25. {1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,606,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,882,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,976,981,966,956,915,920,917,965,932,918,996,972,907,942,910,971,951,921,979,971,991,922,986,985,932,913,964,914,955,918,908,998,921,981,924,906,945,907,925,951,911,993,918,926,970,952,918,978,901,993,949,983,902,902,918,952,903,914,978,913,970,916,994,921,958,995,906,960,996,973,970,914,901,994,911,978,973,904,982,943,993,953,925,960,966,988,933,965,991,930,979,902,956,953,931,941,941,913,945,919}

    {34,178,193,387,206,891,683,922,725,355,119,432,304,236,577,243,496,300,320,810,588,826,702,135,564,593,778,766,407,878,292,787,218,99,822,891,820,41,441,989,823,352,430,5,370,892,271,509,137,795,306,537,502,586,264,535,177,531,67,627,16,435,183,547,160,499,85,413,166,468,293,205,244,233,818,233,311,249,816,108,103,620,679,717,217,478,801,517,567,302,779,978,415,186,870,396,842,656,94,395,224,529,518,357,67,487,878,694,332,487,905,369,196,862,394,301,56,997,350,324,477,738,269,206,663,304,947,800,26,295,49,788,374,566,7,639,239,132,765,339,949,994,264,160,65,742,575,254,956,75,36,127,378,920,807,112,122,648,788,815,960,20,957,119,386,873,773,757,849,214,468,632,540,387,713,44,45,167,356,748,577,171,696,255,854,793,989,168,134,910,737,370,333,995,603,814,652,905,695,279,637,546,352,928,141,788,480,705,230,538,977,607,665,602,752,667,245,37,391,22,942,21,548,815,475,871,768,773,674,743,524,240,766,704,932,112,495,345,766,603,801,806,128,8,661,137,345,685,540,184,477,264,864,793,71,703,817,974,700,183,797,800,132,992,839,268,910,479,350,11,557,896,612,777,544,421,561,830,703,969,520,986,756,429,714,825,193,836,588,728,834,599,196,792,10,310,159,317,455,869,5,566,687,602,10,665,851,811,27,106,771,744,145,34,191,257,476,646,24,553,777,342,759,256,111,939,26,740,254,171,737,51,110,890,152,14,923,903,659,80,747,100,87,280,198,625,853,205,228,120,337,268,332,734,441,648,330,438,418,205,638,384,707,356,713,493,674,368,183,194,907,767,47,245,906,618,179,882,833,201,313,93,258,264,613,720,691,345,929,166,53,858,830,987,130,563,558,281,515,752,106,819,458,992,747,105,577,545,442,118,392,655,762,292,199,731,100,435,887,65,253,646,920,181,618,984,870,30,631,589,539,279,324,193,944,651,276,466,169,826,591,461,376,720,967,474,55,53,347,23,938,995,155,260,886,339,581,91,418,78,962,449,526,494,862,668,861,866,31,669,349,681,118,715,869,796,605,829,632,355,181,561,512,365,478,707,698,787,848,731,676,628,670,117,736,44,465,592,912,678,986,200,503,508,297,483,100,294,812,624,345,286,163,243,498,265,791,719,229,114,122,279,991,82,259,848,721,594,184,612,604,995,553,527,118,866,324,535,602,640,600,106,152,65,287,809,730,719,379,21,982,154,942,552,433,456,170,919,391,987,195,232,92,788,694,184,402,700,710,421,617,536,536,651,742,766,935,226,958,8,469,541,842,332,200,554,333,767,577,905,324,664,889,616,272,538,279,112,166,817,923,346,758,472,663,164,976,861,83,621,61,235,726,877,75,270,911,468,59,663,433,201,334,325,191,647,128,930,697,240,945,618,275,284,909,477,671,726,571,9,756,458,526,154,980,3,580,640,226,901,52,310,773,800,281,849,147,228,325,801,717,330,375,70,72,347,389,136,323,495,44,96,726,970,159,236,216,235,388,265,697,376,110,525,255,313,135,452,748,844,57,337,599,56,822,940,997,405,355,844,124,855,899,527,474,842,63,991,808,443,418,471,801,75,914,158,964,247,289,110,13,360,137,517,452,346,256,264,757,950,459,315,249,817,61,762,387,138,848,542,3,509,471,690,699,832,815,727,454,528,126,218,315,84,344,811,845,966,375,85,973,219,761,342,710,666,570,110,219,483,112,444,660,43,487,316,255,377,868,304,54,276,827,507,960,69,20,128,671,361,983,420,321,558,877,807,783,861,517,768,788,495,150,755,231,344,43,801,306,829,107,644,405,827,440,212,20,668,909,6,253,736,617,496,925,44,396,937,681,187,234,108,937,466,931,360,998,610,103,12,173,437,85,573,269,12,190,480,408,340,258,65,704,397,422,223,996,350,529,815,472,150,729,222,732,288,315,537,561,402,22,835,431,579,651,620,568,678,41,42,208,709,159,703,541,338,275,922,727,864,21,137,258,630,379,709,921,640,523,786,569,355,796,22,927,997,984,901,688,461,515,125,255,866,141,35,544,76,164,304,433,60,307,221,594,779,864,714,633,414,857,891,709,139,560,298,41,297,876,253,22,816,751,618,966,924,21,98,865,739,812,696,943,111,919,269,163,170,359,222,338,398,669,251,938,675,346,713,209,689,264,617,772,286,820,484,412,828,992,292,388,402,554,520,238,760,142,871,697,198,973,594,48,205,582,443,971,589,73,242}

    Returns: 857682.5567181836

26. {1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,161,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,954,912,963,920,943,968,935,967,973,964,942,968,925,928,908,913,952,971,974,900,906,929,938,981,923,996,901,917,913,958,990,912,915,994,935,932,985,961,954,985,994,908,951,997,949,998,939,931,940,934,973,962,959,970,959,922,961,968,915,925,966,958,917,984,915,994,906,979,964,914,993,973,997,955,908,964,919,994,985,936,911,921,435,998,968,929,980,913,936,952,989,930,957,972,934,973,947,901,911,932}

    {424,576,928,878,525,422,587,424,947,739,912,848,775,778,771,121,567,313,28,310,728,781,760,269,545,700,329,385,540,703,590,977,695,516,742,991,917,529,144,471,103,183,690,825,50,245,176,354,467,203,485,591,341,422,290,8,953,407,411,311,911,518,938,90,672,722,706,825,150,553,744,368,182,231,878,815,819,63,735,344,626,566,48,971,450,503,276,408,392,916,255,121,46,502,801,486,423,197,928,448,348,625,629,402,559,142,951,124,153,572,457,434,529,381,23,962,459,946,319,782,490,771,251,946,421,29,109,922,223,517,164,717,388,205,956,68,378,875,602,374,512,944,31,217,390,471,147,194,689,522,608,495,952,509,67,102,844,864,429,779,161,423,943,999,791,190,701,824,730,740,429,301,199,363,296,354,892,205,833,269,398,100,950,851,861,435,466,1000,40,465,552,15,4,656,941,155,864,291,824,103,75,295,875,786,66,451,961,645,163,468,679,861,40,134,53,228,222,648,368,317,477,540,346,356,307,46,609,761,92,644,666,573,913,496,417,153,469,953,575,354,22,868,210,70,791,412,61,459,759,311,165,405,447,855,845,745,770,846,52,591,779,683,615,642,707,95,1000,701,466,669,744,778,456,198,887,24,306,45,330,467,969,180,281,962,391,285,599,37,851,319,147,342,940,258,8,218,59,294,732,502,279,630,607,67,359,153,351,733,745,710,468,149,414,375,989,941,485,126,261,946,628,578,926,611,442,999,291,719,128,640,817,435,993,529,548,297,518,285,931,190,31,147,610,509,271,407,474,721,463,643,441,241,905,670,201,125,396,939,424,333,309,174,748,480,511,408,172,792,846,220,390,722,374,898,956,43,128,450,144,516,699,881,794,193,576,914,436,214,801,379,540,523,148,836,741,254,759,581,521,693,869,117,925,598,31,303,548,372,36,868,197,47,534,721,365,269,233,488,877,545,429,9,851,788,522,107,427,807,140,818,545,782,461,383,425,875,329,742,308,126,804,986,431,450,858,182,189,82,28,267,926,95,975,271,806,671,59,913,788,656,238,778,821,549,830,630,964,505,926,128,315,78,546,120,309,446,938,978,130,583,783,906,769,377,442,984,498,21,810,776,348,77,772,684,525,520,752,893,555,687,331,650,340,525,480,845,275,753,495,328,979,511,349,182,249,924,785,208,323,495,172,207,609,648,799,259,650,822,57,86,153,465,670,768,628,929,977,523,313,753,37,3,797,88,218,576,995,10,804,361,882,326,63,362,742,34,170,904,474,6,363,718,904,589,701,453,929,791,858,77,762,407,434,641,512,964,384,115,793,631,284,592,144,322,343,938,522,32,233,129,284,120,65,854,646,608,82,683,781,793,939,15,383,419,750,295,759,415,450,455,221,733,386,393,851,132,488,322,520,857,787,234,340,31,567,326,660,232,889,184,43,179,835,705,667,651,321,244,982,789,992,220,514,685,290,474,174,751,509,993,539,684,288,239,102,991,768,196,671,926,379,427,677,386,1,898,401,789,84,45,772,201,167,587,699,14,87,874,623,282,133,169,305,439,298,67,693,465,799,466,99,768,11,864,779,932,35,503,483,256,156,842,464,481,574,124,966,375,917,337,201,942,216,708,402,835,197,970,622,198,5,42,561,550,707,431,862,547,225,615,982,382,665,919,983,369,365,878,296,782,366,921,813,320,423,256,465,669,130,215,754,536,185,946,622,130,375,280,387,560,343,783,455,812,825,506,939,962,605,711,335,89,103,874,925,889,150,648,613,354,214,11,528,1,73,776,791,33,670,783,549,527,699,538,509,176,271,837,969,411,883,885,524,710,776,750,465,764,692,557,142,715,993,691,428,108,75,420,782,310,15,766,304,121,431,168,613,4,630,452,333,864,170,904,470,602,148,774,990,708,671,390,463,26,140,142,703,440,257,15,4,633,863,9,656,264,63,742,165,888,361,756,760,668,931,594,574,492,494,464,84,395,707,445,286,302,413,488,334,967,574,163,319,649,220,986,187,506,293,382,800,898,822,823,542,809,486,445,909,351,238,498,20,915,341,302,64,837,858,17,259,618,362,390,41,589,404,857,836,667,46,790,959,251,608,450,877,613,620,198,343,128,850,831,666,534,209,479,681,996,263,363,838,100,71,858,187,110,69,714,940,714,773,23,702,221,128,468,465,691,442,678,917,719,981,64,643,706,460,326,385,253,862,941,572,975,247,328,979,409,464,73,506,898,995,515,765,304,432,292,356,132,497,884,470,203,861,63,731,326}

    Returns: 1904378.8537354323

27. {979,993,903,1000,905,902,958,966,973,957,901,984,984,915,978,974,968,912,982,915,927,933,904,904,905,936,922,925,900,956,963,958,971,918,911,969,949,976,904,994,980,901,919,911,994,963,919,940,910,913,938,989,989,938,991,961,911,931,959,969,953,958,993,932,900,917,972,978,932,900,900,987,926,914,906,971,957,915,969,932,978,986,962,950,904,963,924,957,945}

    {338,708,636,657,778,365,661,695,547,171,491,937,246,993,161,432,853,8,894,783,212,218,509,418,613,14,998,626,571,26,472,21,25,37,721,146,350,555,203,763,777,765,331,49,27,954,569,251,248,209,3,615,611,94,698,330,258,291,410,982,634,689,935,570,636,190,652,414,413,607,648,417,95,369,110,992,225,394,579,620,165,428,26,482,264,316,668,771,212}

    Returns: 53321.5717968805

28. {988,933,952,944,956,906,977,982,988,903,994,954,924,964,970,939,914,930,952,987,944,901,994,998,936,981,924,907,981,964,982,963,901,949,982,985,906,946,924,969,951,950,992,991,947,997,921,996,973,953,915,967,940,933,940,996,985,992,906,955}

    {926,387,897,788,472,771,896,690,622,622,244,129,448,244,780,745,988,556,385,329,861,342,864,828,231,6,191,770,68,134,259,884,321,175,612,896,823,240,960,36,516,616,708,557,818,858,99,664,807,436,43,601,195,796,179,290,955,331,215,854}

    Returns: 44470.701818602276

29. {922,914,952,908,930,951,992,963,911,946,958,901,914,998,941,962,965,947,929,975,908,930,962,928,995,987,939,986,909,946,967,909,997,990,967,968,986,989,962,979,949,966,923,948,928,967,923,962,938,971,989,910,918,900,916,902,966,968,958,973,942,998,994,973,910,984,913,973,965,933,992,914,926,956,995,977,948,985,906,953,925,926,928,961,970,946,939,941,967,934,935,939,987}

    {165,167,86,393,959,303,117,350,573,364,308,343,918,828,825,740,391,48,402,227,907,993,613,137,346,503,459,913,784,477,398,780,301,352,369,73,772,421,262,938,562,29,780,94,693,449,600,140,640,292,295,460,630,637,507,94,959,666,473,109,624,484,99,889,273,997,454,446,311,137,707,338,796,501,271,28,609,443,136,545,293,1000,167,114,837,581,432,55,643,220,481,557,908}

    Returns: 52673.518678879926

30. {995,997,990,991,999,992,999,992,997,990,991,990,998,997,995,995,994,999,991,998,992,999,995,1000,995,998,993,994,998,996,999,995,999,998,990,991,995,998,998,994,992,993,990,997,999,994,995,997,996,1000,998,997,998,993,993,993,990,992,1000,999,995,996,993,997,999,997,997,998,997,999,996,991,999,998,997,998,996,992,994,995,999,1000,996,1000,994,993,990,994,998,1000,992,998,990,994,991,990,990,1000,992,998,997,994,997,1000,997,992,1000,993,997,991,1000,993,1000,999,990,991,1000,991,994,1000,997,995,998,992,993,993,997,990,995,994,991,994,1000,997,993,990,999,998,995,997,993,992,993,990,994,996,996,996,993,995,990,994,990,999,997,998,992,996,991,997,996,995,999,1000,994,1000,1000,998,997,999,992,993,994,996,999,995,993,993,998,996,991,997,999,1000,999,993,995,996,998,991,993,994,999,990,993,999,993,990,994,993,994,991,995,991,995,997,993,993,991,999,993,998,998,1000,996,996,994,996,994,999,992,995,990,999,994,998,997,997,992,994,993,993,990,990,995,999,996,993,995,992,995,992,999,990,999,990,995,999,990,998,997,992,1000,995,994,995,991,999,991,994,1000,992,992,992,990,993,991,996,993,990,992,997,1000,998,999,996,994,990,990,994,1000,996,990,997,998,998,991,992,999,991,996,994,994,1000,996,997,990,998,995,1000,997,993,991,998,994,991,995,996,996,996,997,1000,999,998,997,995,996,995,997,997,995,997,1000,999,994,1000,1000,998,991,998,994,993,992,993,990,994,991,999,998,999,994,1000,997,998,990,990,994,999,994,990,998,990,997,996,996,991,1000,994,1000,994,998,990,999,990,994,999,1000,994,995,1000,997,992,999,998,995,990,993,996,1000,1000,1000,997,995,998,993,998,999,994,991,999,997,991,997,997,994,992,997,997,990,992,997,999,994,998,996,1000,990,994,990,990,998,994,996,999,994,991,999,990,994,997,997,991,990,993,993,990,990,997,1000,999,995,990,991,998,997,991,997,996,994,993,995,992,996,996,990,996,995,994,1000,993,1000,993,997,996,1000,995,992,996,990,993,992,1000,997,994,996,997,1000,999,994,993,992,991,1000,994,997,998,993,990,993,999,997,994,1000,995,998,996,993,994,992,994,993,991,996,991,994,999,999,994,991,991,990,991,993,993,990,992,994,999,997,994,998,996,997,993,991,995,1000,1000,991,995,998,999,998,994,994,992,997,996,995,995,994,1000,995,999,995,999,991,996,997,990,990,993,996,998,996,1000,997,992,993,998,994,993,1000,994,993,991,1000,995,995,990,993,991,1000,994,991,996,993,997,1000,996,999,990,996,999,997,990,996,998,990,991,999,991,1000,993,998,997,996,999,997,997,993,994,1000,1000,996,997,999,997,998,998,991,999,997,990,991,994,990,993,999,991,998,996,992,992,991,990,996,999,995,994,996,997,991,993,997,992,992,998,992,997,997,995,998,1000,990,990,990,996,997,999,995,991,1000,997,999,998,996,999,998,995,992,991,992,993,993,993,999,994,997,994,998,998,993,995,994,993,991,997,998,991,991,992,1000,993,991,995,992,998,997,994,995,999,996,995,992,998,991,998,993,996,999,991,994,993,998,991,995,998,990,990,1000,998,995,990,999,1000,996,998,990,990,995,996,998,996,996,995,999,992,997,999,997,998,998,993,996,996,992,994,999,993,998,997,999,994,998,996,991,992,1000,998,999,995,995,990,996,1000,998,990,991,993,994,992,1000,997,992,993,994,992,990,990,991,993,999,992,998,992,995,997,999,994,993,999,995,990,994,992,996,991,1000,996,991,996,995,1000,993,993,1000,1000,996,999,990,994,991,995,1000,991,991,999,993,1000,991,997,999,993,992,992,994,1000,990,993,994,992,999,994,991,993,992,998,990,992,992,997,997,992,990,991,993,991,992,996,992,997,997,994,995,1000,992,997,991,994,994,991,998,995,999,995,993,998,1000,999,998,998,990,992,995,995,996,998,996,997,998,992,996,998,998,992,999,993,990,995,998,999,991,993,991,993,992,999,995,995,1000,999,991,993,998,992,998,999,994,990,996,997,995,990,1000,995,994,998,992,990,998,991,995,992,1000,1000,997,995,996,999,991,990,1000,991,992,999,990,997,996,997,996,998,993,993,998,996,995,991,990,999,991,996,991,1000,997,994,996,1000,995,995,1000,993,997,997,997,995,998,992,1000,993,990,1000,997,1000,996,997,999,992,995,998,1000,991,993,990,996,997,993,990,1000,993,993,998,999,990,995,992,998,997,991,999,995,996,997,992,990,1000,993,998,991,992,991,991,997,998,990,992,991,990,994,990}

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    Returns: 637597.076806494

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    Returns: 634850.6689279998

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    Returns: 631034.892965707

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    Returns: 617370.1999181678

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    Returns: 629201.8171659437

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    Returns: 647323.6536299322

36. {999,990,996,997,995,1000,994,991,994,996,995,991,991,999,1000,992,998,999,993,993,993,999,995,992,1000,1000,997,991,990,996,992,993,998,999,999,999,991,998,990,990,1000,994,997,993,992,993,1000,994,997,1000,990,994,999,996,993,998,998,990,990,995,990,997,998,999,993,992,992,990,990,991,1000,1000,991,991,995,999,993,997,1000,991,992,995,995,993,991,996,994,991,991,992,994,996,992,999,995,993,996,994,993,995,996,995,1000,991,990,994,999,993,999,996,996,990,1000,991,998,1000,994,1000,995,1000,991,997,994,997,997,996,995,994,991,995,991,990,991,991,990,999,995,991,997,998,996,994,994,991,993,999,998,993,991,990,1000,1000,994,995,997,999,997,996,991,993,993,996,995,991,990,996,997,995,997,997,993,991,992,996,994,994,990,993,997,990,996,999,999,997,994,991,994,991,991,995,995,995,998,997,995,992,994,999,992,994,997,996,996,998,991,996,1000,996,999,999,992,996,995,991,992,998,996,990,992,995,999,990,995,994,992,998,991,994,999,995,995,993,998,999,994,999,1000,991,991,992,996,998,996,997,994,999,997,1000,996,996,1000,993,995,996,991,992,990,990,991,1000,990,991,998,998,998,999,993,997,998,997,996,992,994,991,995,999,993,996,997,995,995,991,997,996,1000,992,1000,998,993,999,996,994,997,1000,998,999,993,995,999,991,998,991,992,994,995,998,996,990,998,996,990,994,996,998,996,993,1000,997,990,995,992,994,996,993,992,990,998,996,998,996,994,991,995,994,998,990,992,994,998,1000,994,998,996,1000,994,993,997,997,995,1000,999,997,1000,997,998,991,998,993,991,998,996,995,1000,996,996,994,990,996,994,998,993,997,999,998,992,1000,995,998,999,996,990,990,996,990,997,992,995,993,996,990,993,997,998,998,996,998,999,996,998,991,992,990,996,993,993,993,991,994,995,996,995,999,999,992,996,990,994,998,999,997,997,997,994,1000,996,996,1000,990,993,991,995,1000,992,999,999,999,997,999,991,995,992,995,1000,993,993,990,993,996,991,995,991,1000,993,994,997,996,992,991,999,998,995,1000,992,997,998,991,1000,999,995,1000,994,998,996,994,992,999,993,991,992,991,1000,990,993,990,992,1000,995,1000,997,997,995,997,997,995,990,998,991,992,993,994,990,995,998,994,993,998,997,995,994,1000,991,999,994,995,997,996,993,997,990,1000,996,990,993,991,993,995,999,995,999,997,1000,994,996,990,993,991,999,990,995,994,996,999,997,1000,994,996,990,998,994,992,991,991,998,995,990,1000,995,997,996,1000,991,991,993,990,997,992,995,997,992,993,993,992,998,991,990,999,992,994,999,998,996,996,996,990,994,991,990,990,991,994,1000,997,997,995,997,996,991,990,993,996,1000,993,992,995,995,995,993,995,996,990,996,999,994,996,991,995,998,993,993,991,990,1000,996,998,999,995,991,993,1000,992,996,998,990,990,997,996,991,994,992,991,991,998,990,1000,996,998,992,992,993,998,990,997,998,995,990,992,996,1000,994,991,996,997,993,993,998,996,990,1000,999,994,992,996,996,993,1000,998,1000,996,1000,994,1000,996,997,990,995,999,993,998,993,993,994,993,996,991,996,991,990,993,1000,991,993,990,999,1000,999,995,999,999,997,992,1000,998,998,998,991,998,999,990,990,991,995,993,995,990,991,999,1000,991,995,998,996,993,996,991,1000,994,993,996,997,999,992,995,998,990,993,995,993,997,995,996,998,999,999,997,995,1000,992,992,998,990,993,1000,994,997,994,998,1000,1000,994,991,997,993,997,999,997,994,998,992,999,994,990,994,996,992,1000,998,997,997,998,990,1000,993,993,996,999,996,993,998,992,992,1000,994,994,993,999,997,993,992,993,1000,991,998,991,998,996,999,991,992,994,990,994,996,991,1000,1000,993,997,998,997,993,992,1000,997,998,997,990,990,996,998,991,992,991,993,993,991,995,999,997,997,997,1000,991,999,995,994,999,996,990,1000,993,995,999,992,991,990,999,994,997,992,990,999,993,998,996,994,997,998,999,997,990,1000,998,991,999,993,994,996,999,996,998,992,999,991,991,995,1000,990,998,996,991,995,995,991,999,996,996,993,991,990,998,995,1000,993,998,997,999,995,991,998,997,996,998,1000,991,993,1000,991,996,993,998,995,994,992,998,991,1000,999,995,993,999,992,993,996,998,994,999,991,994,992,999,996,998,996,994,998,990,999,991,997,998,992,991,999,999,991,990,999,997,998,993,990,994,998,995,996,1000,991,991,998,995,990,999,993,996,993,991,998,995,995,992,992,1000,998,997,990,995,996,999,990,990}

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    Returns: 615318.2091667172

37. {991,991,993,995,996,996,993,992,991,995,993,998,997,995,999,992,997,995,990,995,998,997,991,990,996,999,1000,999,994,992,1000,991,1000,992,995,992,999,993,999,995,998,995,993,994,992,991,990,992,999,990,1000,994,994,995,993,991,992,994,999,993,993,996,996,990,994,990,998,1000,993,994,999,997,998,998,997,990,992,994,990,996,993,999,990,997,997,991,995,991,990,992,992,998,999,996,1000,990,1000,997,990,1000,992,999,997,991,995,990,1000,1000,990,999,997,991,994,992,990,996,990,997,991,995,997,994,999,990,991,997,994,998,992,994,997,992,998,992,998,996,998,993,998,997,997,994,998,999,992,993,994,991,991,996,991,996,995,996,999,997,995,995,997,994,992,993,998,994,1000,994,1000,991,990,990,993,998,996,1000,995,998,999,997,1000,990,996,996,995,994,1000,995,993,997,997,994,1000,995,991,997,999,998,996,998,991,991,992,994,992,1000,993,992,999,991,992,990,990,991,994,999,991,992,1000,997,998,997,998,996,1000,991,999,992,995,993,995,996,991,993,998,996,996,994,997,990,993,992,990,993,990,992,997,993,1000,997,990,997,997,992,999,992,994,991,996,990,997,991,995,994,993,996,992,990,998,993,996,996,993,995,993,999,992,996,995,1000,990,1000,1000,992,998,998,997,992,996,990,997,994,997,992,1000,990,993,997,998,993,991,998,992,1000,998,994,992,993,994,994,1000,1000,996,996,993,996,998,994,995,995,993,995,997,995,992,992,998,994,998,996,1000,994,991,996,999,993,993,992,995,1000,990,990,999,996,996,999,1000,999,997,994,993,998,990,996,999,997,995,1000,991,993,991,998,995,992,990,990,998,990,998,998,991,993,993,996,998,990,997,992,998,995,999,999,995,999,994,992,996,997,1000,990,990,997,1000,991,990,999,998,990,999,998,990,999,993,998,1000,998,996,999,1000,991,999,996,991,995,990,993,997,996,994,994,993,998,994,993,996,994,991,998,992,990,996,993,999,994,995,999,998,995,990,991,1000,992,996,990,993,995,992,990,999,992,998,994,1000,999,993,994,994,990,990,993,991,994,990,997,997,990,997,993,997,993,999,995,992,995,993,994,995,996,990,994,996,997,990,992,990,994,995,993,992,996,991,992,993,992,1000,999,1000,996,997,1000,990,991,993,998,998,995,993,996,1000,999,991,996,998,995,995,999,993,990,994,998,992,996,1000,1000,991,992,998,995,990,993,990,990,994,991,993,994,998,990,992,990,998,990,996,999,991,992,994,991,997,994,996,991,998,995,991,997,997,997,990,994,993,998,998,998,995,996,997,999,990,990,993,1000,995,997,992,995,991,996,991,993,996,993,996,997,995,994,993,999,993,991,1000,996,999,998,1000,993,994,1000,998,992,1000,998,990,995,996,992,996,1000,993,995,997,991,997,991,991,992,991,990,993,991,991,999,990,992,992,995,1000,994,999,996,992,994,991,1000,996,995,999,995,1000,999,992,996,999,999,992,995,999,992,999,999,991,1000,998,996,994,991,994,992,993,993,991,992,1000,990,997,996,992,999,999,994,990,996,995,992,995,998,992,997,996,1000,994,996,994,990,1000,990,991,995,990,999,994,995,998,1000,999,992,997,990,994,990,998,990,992,993,997,992,996,1000,1000,995,993,995,994,998,997,990,990,994,994,997,994,999,992,995,1000,998,997,990,1000,993,996,991,991,995,993,996,993,991,993,999,998,997,998,999,997,996,998,1000,996,990,1000,993,993,995,991,998,998,998,992,996,996,996,996,991,997,995,995,990,992,991,1000,990,993,993,994,990,999,992,993,992,997,998,997,999,991,996,995,993,991,994,997,992,995,1000,999,991,1000,993,996,996,994,995,996,991,995,1000,991,993,998,992,992,991,991,1000,991,990,993,999,996,999,995,994,993,999,999,997,990,994,1000,995,991,994,1000,992,992,996,995,996,999,998,992,990,998,1000,997,993,992,1000,993,990,990,1000,1000,996,993,1000,992,990,1000,991,993,998,990,996,998,993,992,999,993,997,995,993,997,1000,997,991,993,996,997,990,992,992,992,999,990,997,1000,991,995,993,999,993,994,992,991,991,996,993,998,993,999,993,994,995,998,995,995,1000,992,995,994,997,998,991,997,998,991,991,999,996,990,994,993,998,1000,992,998,996,992,993,990,997,991,998,1000,991,998,995,995,998,995,995,990,995,999,990,997,999,994,994,1000,997,996,997,994,998,996,999,991,995,994,996,1000,999,990,992,998,997,990,990,991,998,992,996,998,997,996,995,1000,993,992,990,1000,994,1000,996,996,992,990,999,998,991,993,990,995,999,990,1000,996,990,991,990}

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    Returns: 617145.8065940394

38. {994,997,995,994,999,998,991,996,994,992,999,997,998,1000,991,998,1000,993,1000,991,996,992,992,994,995,995,993,994,992,1000,991,994,995,994,996,991,992,990,995,992,1000,999,995,998,999,998,995,1000,993,993,998,994,996,995,996,992,998,992,997,999,1000,993,999,992,995,997,996,998,990,993,998,996,993,993,997,994,994,996,996,990,998,992,994,993,991,997,999,996,999,991,997,995,991,1000,996,996,991,999,1000,997,993,991,998,990,993,996,993,996,992,993,990,996,996,995,996,991,999,995,995,996,994,1000,996,993,1000,993,994,999,999,992,998,991,996,996,992,990,991,990,993,992,992,994,996,999,998,997,992,990,991,991,991,992,996,998,993,992,997,998,994,997,999,999,993,1000,998,994,997,991,996,999,998,991,997,1000,996,997,994,991,999,998,1000,996,996,994,998,994,993,990,999,996,997,991,990,999,997,996,1000,992,992,990,991,990,994,991,990,997,999,993,997,997,994,997,1000,995,994,996,1000,991,998,995,993,991,992,1000,992,992,995,1000,997,1000,996,993,990,1000,995,996,998,999,994,992,1000,997,1000,990,997,993,993,992,993,997,997,991,1000,990,996,992,997,991,996,990,991,998,993,990,999,990,994,990,997,995,994,994,999,991,996,993,991,995,998,999,993,996,998,991,997,992,1000,995,996,996,999,991,1000,994,998,993,997,992,996,991,992,994,991,991,994,997,995,995,993,994,992,999,994,996,992,999,990,994,999,994,998,993,996,995,1000,992,994,998,995,999,991,1000,995,997,990,994,994,994,991,993,997,996,998,996,994,993,990,991,990,995,996,994,995,994,996,996,996,1000,995,997,991,991,995,993,999,998,1000,1000,997,990,1000,991,1000,996,999,993,995,992,998,998,995,999,996,999,992,991,993,991,997,999,998,997,991,993,998,994,990,1000,992,990,996,994,990,991,997,996,999,996,997,993,990,991,999,991,993,999,993,991,991,991,1000,994,998,997,993,994,993,990,992,993,991,991,994,990,992,990,994,994,1000,990,996,999,998,998,993,997,996,991,995,995,996,995,990,997,999,1000,991,994,1000,993,990,998,995,994,995,990,995,995,991,992,998,994,1000,998,994,990,1000,996,991,996,992,993,996,994,994,997,992,991,995,992,991,997,999,1000,994,995,1000,994,995,999,992,996,1000,992,996,991,995,994,999,1000,998,991,996,998,991,993,991,992,994,997,999,991,996,991,1000,991,998,994,993,996,993,1000,991,999,996,1000,996,1000,992,996,991,997,990,993,1000,999,993,992,998,995,993,991,993,997,996,995,990,1000,994,997,991,996,995,998,1000,999,995,998,999,990,990,990,998,992,1000,993,997,999,995,996,993,990,1000,1000,996,995,996,992,997,992,997,999,997,999,994,995,997,993,998,994,991,994,992,992,993,998,996,1000,990,1000,998,996,992,991,997,998,994,992,990,995,995,993,997,992,992,992,1000,998,992,996,995,995,991,996,998,1000,991,1000,995,998,995,998,996,995,1000,996,992,993,995,995,990,1000,993,998,991,993,991,995,1000,990,992,992,999,996,994,996,997,994,993,998,994,999,992,997,998,990,994,998,997,994,995,996,990,998,997,1000,1000,998,999,993,998,998,995,993,1000,994,998,995,999,993,999,995,995,996,997,990,995,997,999,997,998,994,996,994,1000,998,993,990,996,996,994,998,991,997,994,998,997,1000,992,991,993,999,1000,997,992,994,1000,996,990,994,992,997,999,990,991,993,992,996,993,995,995,991,998,999,1000,997,994,997,991,996,994,995,997,998,992,995,995,998,994,995,991,995,993,995,990,996,992,991,993,992,993,993,997,1000,991,993,991,993,998,996,999,996,995,990,993,996,994,1000,998,990,998,994,992,995,997,992,1000,991,990,995,997,996,999,1000,995,997,993,993,994,1000,990,1000,999,997,998,993,1000,992,993,999,997,994,994,992,995,999,990,995,999,997,997,998,996,994,1000,995,991,1000,1000,995,1000,994,990,991,990,999,1000,998,1000,999,990,998,997,996,996,997,991,997,990,990,1000,1000,995,993,994,1000,995,996,997,1000,993,995,999,1000,995,994,992,998,998,994,996,990,990,1000,993,992,996,999,992,1000,990,990,999,998,994,995,992,990,1000,991,1000,999,1000,993,996,999,999,994,998,990,994,994,997,999,994,992,993,1000,993,994,1000,995,993,995,1000,997,994,1000,991,993,990,990,993,997,991,991,997,990,990,994,999,998,993,993,996,995,991,996,991,991,997,991,1000,998,993,992,992,995,996,992,990,997,996,994,1000,996,994,990,995,992,995,997,990,998,1000,1000,991,992,997,1000,999,990,990,999,997,997,997,994,997,997}

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    Returns: 622063.8458140963

39. {990,1000,990,1000,997,999,994,1000,996,991,999,997,995,996,996,997,993,996,991,997,992,991,991,998,1000,990,1000,997,990,1000,992,998,992,990,1000,998,995,995,992,994,998,999,994,1000,1000,996,993,990,991,1000,994,995,1000,999,997,991,1000,999,999,997,998,992,993,993,993,997,992,996,992,991,993,996,998,994,1000,990,993,991,997,990,993,998,994,996,995,999,993,990,1000,997,990,991,997,991,1000,1000,998,990,990,994,995,990,998,994,992,998,990,995,991,991,994,992,1000,992,990,991,994,994,995,997,990,999,996,997,998,999,990,994,997,992,994,999,991,997,1000,992,991,996,992,997,997,991,992,993,994,1000,999,990,995,999,998,990,996,998,996,998,994,992,997,996,993,994,995,1000,999,996,999,997,992,996,995,992,992,990,999,991,990,994,997,1000,990,990,992,991,990,995,995,997,998,990,990,996,991,1000,996,990,992,990,994,996,993,995,996,998,999,992,999,993,992,995,995,998,995,992,997,994,996,992,991,993,995,1000,998,992,997,997,1000,993,992,993,994,991,995,995,993,990,996,992,990,992,997,994,996,998,991,992,991,1000,997,994,994,995,999,994,994,993,995,992,995,1000,990,999,995,992,993,991,991,994,999,999,993,991,998,993,991,996,998,994,993,1000,995,1000,1000,993,993,992,999,999,998,998,1000,993,1000,991,991,1000,990,993,992,999,997,997,992,999,994,991,997,996,994,994,992,995,993,993,1000,991,993,997,990,999,992,999,999,994,991,991,991,990,994,994,991,997,1000,998,992,991,999,1000,993,998,995,991,999,997,995,1000,998,997,998,995,994,1000,995,994,996,998,999,995,996,992,995,998,999,997,992,993,991,992,992,996,996,990,995,992,999,1000,994,994,992,995,999,998,997,998,998,999,998,993,995,991,996,997,1000,996,997,990,990,990,994,992,996,999,993,992,990,990,995,994,990,990,991,992,992,996,999,990,993,999,996,997,994,997,996,994,995,999,999,996,999,994,995,996,990,998,996,994,993,998,995,998,998,994,997,992,994,1000,991,992,996,999,990,998,990,999,998,996,994,993,1000,990,993,996,997,1000,996,994,997,997,1000,992,990,993,992,999,994,995,993,990,993,994,999,992,993,993,991,995,1000,995,995,994,998,994,997,996,991,997,992,990,992,998,995,999,991,994,993,993,991,990,990,991,997,995,1000,994,998,992,990,990,992,996,994,998,998,990,991,995,991,997,996,990,995,996,1000,998,992,997,994,990,999,993,994,996,998,994,998,999,992,994,1000,994,995,1000,997,991,999,995,993,999,997,993,997,993,996,993,998,997,1000,990,1000,995,997,997,997,997,995,999,992,997,997,997,993,990,997,993,990,997,998,1000,1000,991,992,997,997,997,994,999,999,997,992,996,993,991,994,994,996,993,995,999,1000,992,994,992,999,997,997,991,997,999,991,998,993,1000,997,990,995,1000,1000,992,993,998,999,991,997,998,996,993,995,990,990,992,992,990,995,998,991,997,992,990,998,991,992,994,993,997,997,996,1000,996,1000,992,995,995,998,995,995,993,995,994,996,992,997,998,991,990,1000,999,991,990,1000,993,998,993,990,993,990,996,993,991,995,994,999,991,993,991,991,991,990,993,990,992,990,995,995,998,997,1000,991,992,999,996,992,993,991,997,1000,993,997,996,995,999,996,997,999,1000,993,999,991,998,1000,999,993,997,997,1000,995,999,998,999,992,995,998,998,992,1000,993,991,996,992,996,991,994,995,993,996,1000,1000,991,996,996,991,997,996,994,1000,992,997,991,995,997,994,998,994,990,991,999,997,998,995,991,995,995,995,996,1000,994,994,992,990,999,990,996,997,992,990,990,992,996,993,998,996,993,996,994,991,998,1000,990,996,995,999,992,996,993,997,994,994,998,1000,999,995,991,998,990,994,995,993,997,991,990,992,998,999,998,996,994,992,994,999,998,990,996,996,992,991,997,997,990,995,994,997,997,998,992,1000,990,999,991,993,997,1000,995,990,991,992,997,991,999,990,998,992,994,992,992,991,996,992,993,999,992,1000,998,1000,990,991,995,993,1000,994,995,1000,998,998,993,996,992,999,990,997,1000,995,997,992,990,998,1000,991,992,999,991,997,997,991,990,999,990,998,1000,993,992,997,1000,996,1000,997,995,992,990,990,995,992,996,991,994,996,995,995,1000,991,996,993,999,995,1000,999,991,996,998,992,991,990,992,998,996,998,993,996,994,995,994,990,997,994,990,999,993,993,999,991,996,993,1000,990,1000,994,994,991,995,1000,998,992,993,999,990,997,999,996,993,995,994,995,991,996,997,991,994,997,995,999,991,996}

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    Returns: 628618.6212262625

40. {992,991,991,991,999,990,1000,995,997,997,993,992,996,991,997,994,998,996,990,993,999,999,999,990,994,998,992,991,997,990,998,990,990,992,1000,1000,995,997,1000,995,991,995,994,998,993,993,1000,994,1000,995,992,991,999,993,994,993,1000,998,998,992,993,996,994,998,994,996,996,993,1000,996,992,993,992,991,997,990,996,995,1000,992,995,999,992,996,996,996,991,999,995,995,991,1000,996,993,993,992,997,995,997,997,990,996,995,1000,998,996,993,990,1000,994,998,991,1000,997,999,990,999,993,999,990,995,998,994,990,994,991,990,990,990,999,992,993,999,997,991,998,993,991,999,991,996,994,993,993,998,994,990,999,991,998,994,996,999,990,995,990,991,999,990,994,1000,997,997,990,990,999,994,999,997,991,996,999,1000,992,994,997,1000,993,994,991,995,1000,998,991,990,999,999,995,1000,995,998,994,992,997,993,994,992,998,994,996,998,996,993,998,992,997,998,995,998,994,996,997,990,992,995,998,995,999,995,993,991,995,994,996,995,998,990,999,993,995,996,997,997,992,996,991,990,998,998,997,991,992,1000,990,994,1000,999,993,991,992,998,990,996,991,997,993,991,997,990,999,993,992,992,996,997,991,995,993,1000,998,991,991,992,1000,999,990,994,998,999,999,994,998,999,993,990,990,995,993,997,993,995,992,1000,998,991,997,992,993,995,999,995,991,997,1000,997,998,990,995,991,1000,998,1000,995,992,995,1000,991,999,998,993,992,995,993,996,990,999,998,997,994,992,992,1000,1000,997,998,1000,998,1000,999,1000,992,999,1000,993,999,997,1000,997,993,999,995,990,1000,997,996,996,995,998,990,998,991,994,991,999,992,993,990,990,990,992,992,998,993,999,999,999,993,990,999,997,995,994,998,994,997,998,999,997,997,996,992,992,993,994,991,997,999,995,995,993,999,994,999,993,999,993,999,997,998,999,997,990,990,990,998,990,993,991,997,999,993,990,992,1000,995,996,998,994,993,998,1000,999,1000,995,995,994,1000,991,992,996,998,994,994,998,992,993,990,1000,990,1000,999,1000,997,993,995,990,999,991,992,992,990,993,995,994,999,997,991,992,990,990,994,999,993,993,995,995,1000,999,1000,997,996,993,994,997,990,994,997,992,998,999,991,997,999,991,1000,998,990,999,994,991,1000,997,994,998,991,991,998,992,990,991,996,991,994,993,991,999,991,994,996,996,994,996,1000,993,991,993,991,995,999,993,992,990,1000,995,996,993,990,997,990,995,991,991,997,996,990,1000,991,996,991,994,998,1000,993,992,993,998,996,997,996,994,999,996,991,990,996,992,996,999,998,1000,993,995,990,998,998,999,990,992,1000,1000,998,993,1000,992,991,990,1000,995,992,991,992,997,994,997,991,997,990,995,994,999,997,995,994,1000,993,990,992,998,995,995,995,990,990,991,1000,998,997,991,996,991,996,991,1000,994,999,995,990,998,998,993,991,997,998,998,992,997,993,991,994,1000,994,998,997,999,1000,992,997,994,1000,996,992,999,993,1000,994,996,990,995,990,996,999,998,995,994,999,995,997,999,995,995,990,998,992,998,993,997,997,997,998,1000,993,994,994,991,995,996,996,990,991,998,998,996,996,997,999,991,992,990,991,999,1000,1000,994,995,990,999,993,991,995,990,996,995,996,990,996,994,1000,994,995,1000,990,999,997,1000,991,998,994,997,994,992,992,998,999,993,990,999,998,995,998,995,1000,990,997,995,995,996,993,1000,994,994,996,995,995,996,991,997,996,1000,997,990,997,997,993,990,991,995,991,998,996,996,998,991,993,996,996,994,999,992,992,994,996,992,990,995,998,993,995,1000,993,991,992,994,990,990,991,996,998,990,1000,992,996,994,991,998,992,997,991,993,993,999,998,991,993,999,995,994,993,995,991,993,992,997,997,996,995,991,994,993,999,999,999,996,993,994,999,994,990,995,991,992,997,999,999,999,995,1000,997,992,992,990,992,998,990,996,998,996,992,994,998,993,997,999,1000,999,999,991,996,997,993,991,992,992,994,994,990,992,998,998,1000,995,994,995,995,997,994,992,999,998,993,999,996,991,998,991,998,991,997,990,996,994,991,998,999,1000,998,993,994,996,998,994,995,993,991,992,994,1000,993,993,1000,998,991,998,998,993,999,997,996,993,991,997,992,999,993,997,998,994,992,995,994,994,991,991,1000,999,1000,996,992,995,996,991,992,999,996,992,1000,993,993,996,992,996,995,998,998,994,993,997,995,992,994,1000,992,996,997,996,993,990,998,998,996,992,994,997,995,999,994,992,990,996,996,993,1000,990,992,995,1000,991,999,1000,993,994}

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    Returns: 635485.9664284241

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    Returns: 620610.7503035761

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    Returns: 641637.7094692983

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    Returns: 641321.9895512647

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    {372,118,463,804,412,73,227,619,750,423,455,118,58,952,473,890,975,66,514,117,880,928,408,34,46,682,780,47,488,662,566,346,888,35,538,378,966,74,840,729,522,132,238,812,188,443,907,249,591,65,90,981,260,647,906,968,85,206,899,797,566,786,668,621,400,656,76,673,174,745,50,981,78,94,999,49,566,430,176,982,849,416,143,948,955,719,628,943,834,819,664,512,659,396,901,473,30,203,353,727,279,571,659,878,428,65,147,793,667,381,596,167,389,249,611,849,925,968,967,985,137,227,82,998,917,17,65,43,478,774,376,862,37,371,220,897,114,213,266,100,225,491,97,142,167,593,130,612,460,777,366,361,763,477,455,375,222,32,25,404,811,204,127,132,667,571,950,842,319,792,676,373,496,759,441,665,875,868,904,335,758,993,848,559,144,263,570,955,80,392,553,349,513,180,64,9,52,723,873,439,220,72,239,868,768,327,682,322,610,622,830,603,751,68,793,506,355,473,130,376,756,573,415,428,774,608,865,330,190,277,231,187,596,512,421,445,128,57,887,195,793,520,866,53,176,455,966,48,344,995,440,974,661,783,719,229,39,225,426,486,893,601,131,456,685,190,598,578,472,367,99,766,338,587,659,191,906,254,796,665,415,766,342,422,991,422,500,919,795,462,109,869,735,251,454,833,289,476,624,606,769,315,553,84,71,690,412,464,520,106,902,453,958,73,398,603,615,787,560,31,623,562,239,558,258,491,7,726,131,965,629,241,571,931,145,170,398,286,5,573,133,342,877,343,432,108,325,744,211,35,564,493,485,938,848,268,417,66,921,207,465,645,88,319,779,797,143,686,224,403,374,41,466,374,309,574,595,768,683,794,656,386,377,923,273,796,678,535,283,218,313,116,925,333,127,809,655,885,157,837,125,886,127,33,176,345,64,421,987,706,803,54,661,583,655,159,598,992,421,167,990,963,183,405,637,346,81,64,83,638,350,541,763,882,416,419,427,22,816,164,659,633,976,58,661,601,690,48,840,149,222,929,941,605,567,738,575,428,307,331,83,302,910,834,555,581,65,97,720,939,818,314,159,872,889,701,952,603,492,481,438,20,423,490,251,510,947,343,166,928,240,499,574,509,762,532,596,205,933,553,962,799,938,88,758,156,305,620,80,149,141,679,432,107,561,613,452,127,895,103,147,229,705,111,385,112,533,146,825,248,546,688,798,114,934,128,935,684,1,824,473,655,367,731,263,516,614,598,444,255,985,915,670,419,477,612,519,267,771,38,442,962,961,875,180,103,981,480,105,419,950,575,338,100,400,376,811,82,501,974,691,568,941,279,662,224,89,861,668,765,407,836,583,101,891,285,197,835,452,812,607,641,760,515,789,983,54,44,694,726,823,444,673,383,41,152,429,182,891,880,970,615,475,93,231,906,80,449,148,630,945,895,928,751,352,48,244,533,73,141,807,69,869,72,588,681,773,45,511,66,361,862,26,879,75,198,394,349,920,77,866,697,562,318,190,319,901,968,53,165,717,581,119,303,855,732,301,375,733,373,792,570,666,423,162,754,588,541,514,617,326,127,295,36,435,469,876,388,17,344,396,191,607,577,718,298,424,794,542,836,786,51,853,225,467,113,942,905,147,916,145,855,857,121,318,580,509,755,818,26,179,641,410,773,812,675,101,969,396,72,360,659,462,346,582,584,984,164,929,46,346,192,866,152,91,710,824,592,564,76,422,126,422,109,587,137,194,42,722,892,759,12,821,685,614,972,27,645,300,497,699,777,209,217,452,785,241,495,41,307,501,548,156,461,271,407,404,28,996,998,783,165,922,136,957,272,318,442,505,529,928,980,103,664,408,982,294,705,33,95,108,835,862,479,276,980,924,486,215,415,683,806,279,524,208,737,970,813,30,663,956,405,610,929,780,572,726,31,66,274,825,459,902,299,614,591,807,367,688,716,384,455,34,708,294,709,603,816,679,511,986,790,553,668,389,864,921,250,771,122,645,259,981,441,109,234,177,492,781,838,664,269,681,698,481,208,540,75,753,278,221,395,856,319,553,369,906,515,279,162,948,141,280,71,490,608,553,232,699,405,713,191,679,746,910,544,703,611,156,457,211,375,1,594,651,438,411,883,971,76,435,573,669,261,9,250,841,318,771,838,588,134,332,116,473,60,805,953,462,809,749,285,931,397,894,854,870,626,129,846,365,710,308,877,821,350,332,206,145,28,837,693,289,294,565,737,134,563,160,401,699,316,691,950,22,612,691,312,909,503}

    Returns: 614602.1099803698

45. {916, 932, 927, 988, 958, 996, 944, 968, 917, 939, 960, 965, 960, 998, 920, 990, 915, 972, 995, 916, 902, 968, 970, 962, 922, 959, 994, 915, 996, 996, 994, 986, 945, 947, 912, 946, 972, 951, 973, 965, 921, 910, 938, 975, 942, 950, 900, 983, 960, 998, 982, 980, 902, 974, 952, 938, 900, 962, 920, 931, 964, 974, 953, 995, 946, 946, 903, 921, 923, 985, 919, 996, 930, 915, 991, 967, 996, 911, 999, 936, 1000, 962, 970, 929, 966, 960, 930, 920, 958, 926, 983 }

    {583, 428, 396, 17, 163, 815, 31, 536, 175, 165, 532, 781, 29, 963, 331, 987, 599, 497, 380, 180, 780, 25, 931, 607, 784, 613, 468, 140, 488, 604, 401, 912, 204, 785, 697, 173, 451, 849, 714, 914, 650, 652, 338, 336, 177, 147, 22, 652, 901, 548, 370, 9, 118, 487, 779, 567, 818, 440, 10, 868, 316, 666, 690, 714, 623, 269, 501, 649, 324, 773, 173, 54, 391, 745, 504, 578, 81, 627, 319, 301, 16, 899, 658, 586, 604, 83, 520, 81, 181, 943, 157 }

    Returns: 54204.93356505282

46. {998, 995, 991, 997, 990, 996, 996, 993, 999, 1000, 992, 992, 999, 999, 994, 991, 999, 997, 997, 996, 992, 993, 993, 995, 995, 991, 996, 999, 993, 991, 995, 996, 995, 998, 991, 1000, 991, 996, 1000, 996, 1000, 992, 990, 995, 994, 990, 990, 991, 998, 999, 997, 998, 997, 998, 991, 1000, 997, 997, 995, 992, 996, 997, 992, 998, 1000, 994, 990, 991, 998, 994, 997, 998, 995, 996, 990, 998, 995, 996, 990, 996, 992, 999, 993, 990, 999, 998, 996, 994, 997, 992, 992, 991, 1000, 997, 990, 990, 996, 995, 993, 994, 997, 999, 992, 992, 995, 996, 993, 991, 1000, 999, 990, 998, 994, 998, 990, 993, 995, 993, 998, 996, 996, 993, 997, 990, 995, 992, 998, 997, 997, 996, 993, 999, 999, 997, 996, 997, 992, 992, 991, 991, 991, 994, 998, 992, 998, 991, 991, 990, 999, 998, 995, 997, 992, 991, 999, 999, 996, 999, 998, 992, 998, 1000, 996, 999, 998, 998, 997, 991, 992, 997, 999, 999, 997, 990, 993, 996, 999, 992, 998, 998, 993, 995, 999, 996, 994, 1000, 1000, 994, 994, 992, 998, 991, 992, 998, 992, 1000, 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997, 993, 1000, 998, 997, 996, 994, 998, 991, 995, 998, 999, 998, 1000, 997, 1000, 992, 992, 991 }

    Returns: 1249446.6766076277