Statistics

Problem Statement for "DayTrader"

Problem Statement

The New York Stock Exchange is open for 390 minutes a day, from 9:30am until 4:00pm. During this time, you can buy and sell shares of companies listed on the exchange. Given a graph of how the share prices of two companies fluctuate in one day, calculate the highest amount of money you could possibly earn.

You begin the day with $1000. At any time, you can buy shares of either company at a cost of the number of shares you are buying times the current share price. Similarly, at any time you can sell shares you own of either company for a price of the number of shares you are selling times the current share price. You are not limited to buying or selling whole numbers of shares. You may never spend more money than you have, nor may you sell more shares than you own. Assume you pay no fees or commission on any purchase or sale.

The share price for a company will be given as a pair of int[]s, the first giving a list of times, and the second giving the corresponding share price at each of those times. The times will always be in ascending order, the first time will always be 0, and the last time will always be 390. To compute the stock price between two adjacent times in the arrays, linearly interpolate between the two prices. The times and prices of the first stock ("stock A") are given by timeA and priceA, and the times and prices of the second stock ("stock B") are given by timeB and priceB.

For example, given the following input arrays: 

    timeA  = { 0,  60, 150, 270, 390 }
    priceA = { 60, 80, 40,  40,  60 }
    timeB  = { 0,  180, 300, 390 }
    priceB = { 40, 20,  70,  80 }

stock A is shown in red and stock B is shown in blue in the figure below.


In this example, you would make the most money by spending your entire $1000 to buy 16 2/3 shares of stock A for $60 each at time 0. One hour later at time 60, you should sell all your shares at $80 each, receiving 1333 1/3 dollars. You would hold on to your money until time 180, and then spend it all on 66 2/3 shares of stock B. At time 300, you would sell these shares for $70 each (4666 2/3 dollars) and immediately buy as many shares of stock A as you can afford. The price of stock A at time 300 is $45 (1/4 of the way between $40 and $60), so you can afford 103 19/27 shares. You would then sell these at the end of the day for $60, for a total of 6222 2/9 dollars, giving you earnings of about $5222.22 over your initial $1000.

Definition

Class:
DayTrader
Method:
earnings
Parameters:
int[], int[], int[], int[]
Returns:
double
Method signature:
double earnings(int[] timeA, int[] priceA, int[] timeB, int[] priceB)
(be sure your method is public)

Notes

  • Your return value must have an absolute or relative error less than 1e-9.

Constraints

  • timeA, priceA, timeB, and priceB will each contain between 2 and 50 elements, inclusive.
  • timeA and priceA will contain the same number of elements.
  • timeB and priceB will contain the same number of elements.
  • The first element of timeA and timeB will be 0.
  • The last element of timeA and timeB will be 390.
  • The elements of timeA and timeB will be strictly ascending.
  • Each element of priceA and priceB will be between 10 and 100, inclusive.

Examples

  1. { 0, 390 }

    { 25, 50 }

    { 0, 390 }

    { 10, 30 }

    Returns: 2000.0

    Stock A doubles in value throughout the day, while stock B triples. If you buy stock B at time 0 and sell at time 390, you can earn $2000.

  2. { 0, 50, 390 }

    { 80, 65, 20 }

    { 0, 310, 390 }

    { 12, 12, 11 }

    Returns: 0.0

    Neither stock ever goes up in value, so you cannot earn any money today.

  3. { 0, 60, 150, 270, 390 }

    { 60, 80, 40, 40, 60 }

    { 0, 180, 300, 390 }

    { 40, 20, 70, 80 }

    Returns: 5222.222222222223

    This is the example from the problem statement.

  4. { 0, 390 }

    { 10, 20 }

    { 0, 100, 101, 390 }

    { 100, 10, 100, 10 }

    Returns: 18959.266802443988

  5. {0, 100, 200, 300, 390 }

    { 10, 11, 14, 19, 26 }

    { 0, 50, 150, 250, 350, 390 }

    { 10, 10, 12, 16, 22, 29 }

    Returns: 2403.157552083335

  6. {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,390}

    {10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100}

    {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,390}

    {100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10,100,10}

    Returns: 1.0E52

  7. { 0, 390 }

    { 16, 49 }

    { 0, 390 }

    { 40, 80 }

    Returns: 2062.5

  8. { 0, 100, 390 }

    { 43, 16, 81 }

    { 0, 53, 220, 282, 390 }

    { 30, 71, 56, 55, 79 }

    Returns: 11066.383228840123

  9. { 0, 6, 48, 70, 99, 109, 140, 159, 174, 189, 245, 249, 279, 287, 311, 330, 356, 370, 383, 390 }

    { 31, 21, 41, 62, 59, 24, 60, 80, 74, 33, 68, 94, 38, 10, 93, 38, 32, 66, 15, 68 }

    { 0, 4, 37, 52, 61, 77, 112, 125, 134, 166, 242, 256, 287, 292, 305, 308, 343, 346, 382, 390 }

    { 31, 81, 92, 46, 17, 21, 62, 38, 94, 96, 18, 21, 94, 44, 11, 17, 23, 26, 27, 41 }

    Returns: 4.131414658143338E8

  10. { 0, 21, 33, 45, 74, 170, 181, 183, 195, 211, 216, 217, 223, 225, 227, 237, 240, 243, 246, 261, 275, 279, 284, 309, 313, 320, 322, 325, 335, 344, 370, 376, 384, 388, 390 }

    { 74, 12, 72, 28, 10, 75, 98, 24, 25, 41, 49, 74, 27, 76, 31, 16, 27, 35, 38, 36, 95, 76, 75, 80, 87, 53, 65, 58, 86, 79, 72, 75, 54, 15, 30 }

    { 0, 8, 39, 54, 105, 120, 135, 148, 157, 193, 198, 208, 249, 261, 271, 274, 296, 308, 312, 340, 342, 344, 384, 389, 390 }

    { 92, 18, 47, 47, 32, 77, 81, 94, 99, 71, 57, 90, 20, 42, 90, 20, 65, 57, 89, 81, 61, 65, 60, 10, 84 }

    Returns: 3.4970716780048733E9

  11. { 0, 5, 16, 18, 20, 25, 26, 27, 34, 37, 46, 47, 48, 54, 64, 73, 77, 106, 118, 130, 136, 151, 152, 163, 167, 171, 196, 208, 212, 213, 217, 220, 235, 240, 272, 277, 291, 293, 298, 312, 314, 353, 354, 363, 365, 368, 378, 384, 388, 390 }

    { 95, 56, 36, 17, 95, 17, 71, 17, 21, 44, 87, 18, 57, 63, 49, 70, 97, 47, 80, 67, 85, 65, 40, 93, 46, 75, 72, 97, 39, 89, 29, 56, 30, 90, 62, 92, 21, 18, 34, 57, 93, 34, 73, 29, 42, 17, 25, 69, 15, 56 }

    { 0, 2, 20, 31, 40, 44, 46, 53, 80, 83, 94, 105, 108, 114, 129, 131, 133, 137, 154, 164, 183, 195, 199, 206, 216, 227, 231, 234, 241, 250, 254, 266, 273, 295, 298, 301, 302, 307, 313, 314, 327, 331, 354, 357, 365, 371, 372, 381, 385, 390 }

    { 100, 52, 56, 10, 53, 28, 48, 91, 49, 94, 26, 85, 42, 38, 51, 29, 18, 10, 83, 31, 13, 40, 91, 12, 66, 78, 46, 68, 45, 95, 70, 56, 53, 51, 83, 13, 27, 95, 54, 70, 69, 50, 38, 84, 51, 14, 14, 37, 22, 99 }

    Returns: 1.29505892766141696E17

  12. { 0, 104, 235, 239, 275, 293, 296, 311, 332, 390 }

    { 11, 85, 45, 90, 41, 97, 11, 69, 13, 19 }

    { 0, 1, 18, 19, 31, 44, 54, 57, 61, 68, 77, 95, 96, 111, 115, 125, 127, 134, 140, 143, 148, 153, 158, 168, 182, 183, 184, 189, 198, 211, 220, 245, 247, 248, 256, 272, 276, 283, 294, 303, 305, 309, 312, 317, 320, 327, 357, 363, 377, 390 }

    { 37, 36, 78, 65, 92, 37, 23, 44, 78, 48, 34, 45, 68, 15, 89, 84, 40, 64, 94, 82, 60, 40, 70, 83, 63, 51, 45, 19, 95, 62, 25, 30, 41, 58, 100, 22, 61, 83, 61, 97, 79, 55, 41, 52, 17, 23, 94, 52, 52, 68 }

    Returns: 2.234639227322384E10

  13. { 0, 6, 11, 12, 21, 37, 40, 49, 79, 80, 103, 104, 111, 112, 126, 134, 147, 151, 155, 163, 174, 207, 276, 277, 295, 297, 309, 311, 332, 356, 372, 375, 384, 390 }

    { 69, 14, 51, 74, 55, 38, 85, 66, 68, 36, 25, 29, 11, 89, 16, 12, 77, 72, 88, 81, 83, 62, 91, 71, 64, 78, 53, 49, 79, 42, 39, 27, 44, 21 }

    { 0, 7, 12, 15, 41, 42, 57, 59, 66, 85, 89, 97, 102, 111, 138, 142, 145, 154, 169, 211, 212, 222, 225, 227, 241, 243, 253, 259, 274, 278, 284, 285, 291, 315, 318, 323, 329, 374, 379, 380, 390 }

    { 66, 43, 20, 96, 69, 81, 82, 68, 31, 36, 76, 17, 50, 97, 67, 25, 24, 93, 38, 71, 27, 47, 72, 29, 40, 44, 52, 78, 18, 51, 23, 90, 77, 84, 56, 58, 19, 12, 88, 74, 39 }

    Returns: 5.987510118084828E11

  14. { 0, 49, 70, 72, 107, 148, 152, 169, 172, 180, 247, 295, 302, 303, 304, 306, 316, 317, 390 }

    { 85, 10, 82, 52, 47, 76, 89, 15, 69, 99, 48, 80, 23, 18, 70, 32, 28, 78, 45 }

    { 0, 7, 11, 18, 21, 22, 27, 31, 32, 69, 88, 91, 98, 101, 111, 113, 116, 118, 121, 122, 123, 139, 162, 164, 166, 169, 179, 183, 193, 212, 220, 222, 224, 226, 229, 249, 263, 269, 271, 275, 276, 278, 298, 302, 303, 341, 350, 365, 372, 390 }

    { 93, 20, 73, 90, 38, 27, 91, 22, 45, 47, 40, 30, 72, 54, 35, 81, 67, 59, 82, 21, 94, 77, 78, 76, 63, 62, 53, 18, 98, 50, 55, 66, 74, 68, 52, 23, 16, 14, 26, 46, 29, 96, 24, 61, 89, 19, 57, 65, 31, 60 }

    Returns: 3.7337235094099336E12

  15. { 0, 10, 12, 24, 32, 40, 58, 64, 87, 94, 98, 118, 120, 128, 131, 133, 151, 155, 165, 166, 180, 187, 191, 193, 196, 208, 213, 216, 221, 249, 259, 261, 277, 299, 300, 306, 320, 324, 325, 326, 331, 332, 337, 340, 341, 343, 364, 375, 382, 390 }

    { 31, 80, 34, 77, 94, 10, 46, 15, 51, 24, 56, 93, 99, 78, 35, 32, 90, 28, 13, 64, 23, 48, 42, 62, 76, 36, 37, 68, 52, 19, 88, 14, 39, 38, 74, 59, 54, 85, 84, 82, 75, 47, 69, 22, 43, 50, 86, 40, 63, 92 }

    { 0, 14, 23, 28, 46, 65, 67, 68, 79, 80, 85, 95, 102, 105, 115, 126, 129, 130, 141, 144, 147, 160, 161, 165, 167, 174, 189, 206, 213, 218, 221, 247, 261, 277, 317, 319, 331, 334, 336, 342, 348, 354, 359, 364, 369, 374, 375, 380, 383, 390 }

    { 19, 32, 65, 38, 72, 64, 90, 41, 36, 29, 56, 12, 100, 96, 44, 21, 68, 37, 28, 85, 81, 22, 97, 94, 86, 17, 93, 78, 71, 98, 70, 80, 84, 79, 33, 95, 42, 31, 77, 27, 49, 66, 76, 62, 82, 25, 74, 83, 73, 13 }

    Returns: 2.0790846547385745E15

  16. { 0, 9, 23, 83, 113, 122, 147, 165, 172, 199, 217, 278, 312, 318, 374, 383, 390 }

    { 48, 89, 74, 37, 15, 79, 68, 12, 29, 78, 36, 80, 23, 39, 93, 88, 98 }

    { 0, 6, 17, 21, 31, 50, 68, 82, 90, 103, 106, 116, 124, 129, 138, 143, 152, 180, 194, 229, 238, 247, 256, 258, 278, 295, 313, 353, 355, 358, 364, 376, 381, 382, 390 }

    { 37, 89, 70, 84, 54, 64, 58, 92, 14, 75, 31, 95, 87, 100, 88, 45, 99, 71, 63, 10, 80, 85, 61, 50, 47, 38, 29, 42, 67, 13, 18, 82, 32, 60, 48 }

    Returns: 7.78920833289172E9

  17. { 0, 4, 14, 15, 67, 98, 154, 165, 179, 231, 254, 268, 290, 307, 342, 390 }

    { 55, 88, 93, 35, 16, 70, 21, 65, 49, 98, 36, 97, 45, 13, 24, 23 }

    { 0, 22, 29, 42, 64, 73, 105, 109, 124, 130, 131, 142, 173, 174, 176, 185, 188, 207, 208, 211, 218, 220, 227, 228, 235, 256, 261, 264, 267, 272, 280, 282, 283, 286, 291, 295, 297, 303, 305, 323, 327, 341, 343, 352, 366, 371, 377, 378, 386, 390 }

    { 45, 93, 87, 90, 18, 95, 16, 10, 85, 74, 59, 32, 31, 33, 75, 15, 43, 63, 76, 44, 72, 82, 26, 98, 50, 84, 54, 40, 60, 77, 57, 64, 30, 71, 51, 39, 58, 14, 38, 52, 78, 70, 81, 27, 56, 19, 11, 100, 34, 89 }

    Returns: 1.299935236435256E12

  18. { 0, 9, 23, 44, 155, 161, 173, 211, 237, 247, 258, 324, 331, 390 }

    { 42, 22, 27, 54, 70, 57, 75, 93, 39, 47, 32, 40, 85, 23 }

    { 0, 3, 28, 80, 95, 102, 181, 390 }

    { 70, 56, 81, 73, 83, 96, 61, 54 }

    Returns: 21965.26495828112

  19. { 0, 5, 23, 28, 30, 50, 89, 90, 99, 101, 109, 118, 119, 120, 144, 182, 190, 192, 208, 210, 222, 233, 245, 255, 291, 336, 349, 351, 371, 376, 390 }

    { 81, 43, 20, 83, 96, 78, 93, 79, 86, 62, 49, 88, 36, 51, 58, 23, 97, 85, 46, 91, 84, 80, 37, 92, 57, 40, 25, 32, 90, 45, 89 }

    { 0, 15, 16, 20, 33, 34, 39, 46, 55, 62, 63, 67, 76, 77, 80, 85, 86, 115, 120, 132, 133, 145, 147, 165, 175, 180, 184, 185, 188, 194, 203, 211, 240, 242, 244, 267, 277, 290, 320, 332, 341, 346, 390 }

    { 100, 80, 19, 37, 66, 64, 25, 68, 90, 45, 17, 52, 76, 74, 34, 58, 99, 10, 33, 69, 20, 46, 55, 18, 32, 60, 42, 63, 12, 67, 53, 81, 50, 40, 72, 21, 61, 65, 31, 97, 75, 26, 47 }

    Returns: 1.7702353254251995E12

  20. { 0, 4, 7, 10, 38, 42, 43, 47, 60, 73, 81, 82, 101, 107, 128, 131, 132, 134, 141, 147, 148, 169, 171, 181, 189, 209, 218, 230, 245, 258, 261, 265, 280, 284, 286, 290, 291, 303, 310, 311, 313, 317, 336, 350, 353, 354, 358, 359, 372, 390 }

    { 87, 51, 18, 95, 31, 90, 66, 89, 53, 93, 60, 54, 56, 97, 27, 42, 81, 73, 57, 24, 86, 61, 78, 19, 29, 36, 76, 37, 98, 11, 20, 35, 99, 33, 16, 14, 68, 65, 75, 55, 12, 88, 48, 59, 58, 96, 50, 34, 41, 45 }

    { 0, 13, 15, 50, 63, 77, 88, 95, 104, 117, 129, 142, 155, 181, 190, 191, 208, 215, 224, 234, 244, 260, 283, 287, 305, 318, 324, 325, 352, 364, 386, 390 }

    { 73, 69, 45, 85, 90, 28, 88, 65, 47, 53, 22, 44, 10, 72, 41, 40, 94, 46, 32, 13, 15, 79, 59, 26, 68, 91, 38, 66, 80, 30, 31, 77 }

    Returns: 6.399954926459524E13

  21. { 0, 12, 20, 22, 28, 40, 88, 90, 97, 103, 129, 134, 144, 154, 157, 159, 180, 211, 220, 238, 242, 253, 314, 318, 321, 336, 345, 347, 354, 363, 368, 376, 390 }

    { 80, 86, 68, 52, 83, 87, 17, 70, 55, 19, 45, 56, 28, 69, 33, 13, 10, 35, 82, 95, 30, 43, 34, 98, 15, 58, 29, 77, 85, 27, 76, 97, 21 }

    { 0, 9, 32, 56, 62, 63, 66, 103, 112, 141, 162, 169, 176, 189, 203, 241, 243, 264, 266, 272, 300, 310, 312, 327, 378, 390 }

    { 20, 95, 83, 85, 88, 64, 43, 39, 80, 81, 77, 57, 68, 84, 87, 60, 10, 96, 75, 63, 29, 19, 59, 62, 99, 46 }

    Returns: 1.916299477712221E10

  22. { 0, 2, 12, 23, 43, 44, 45, 50, 61, 66, 84, 87, 89, 106, 123, 131, 136, 145, 150, 156, 157, 160, 164, 168, 175, 179, 197, 203, 218, 222, 235, 241, 242, 256, 262, 264, 309, 310, 312, 319, 337, 354, 365, 368, 370, 373, 374, 381, 383, 390 }

    { 93, 100, 39, 33, 98, 58, 35, 90, 68, 84, 92, 62, 87, 95, 47, 80, 64, 91, 29, 78, 34, 38, 27, 70, 74, 97, 23, 82, 71, 72, 11, 36, 37, 43, 96, 31, 30, 17, 46, 25, 50, 51, 44, 99, 32, 69, 24, 40, 14, 16 }

    { 0, 7, 29, 36, 43, 53, 73, 88, 97, 101, 139, 141, 145, 146, 151, 155, 157, 171, 173, 190, 202, 206, 211, 218, 219, 224, 226, 233, 244, 266, 279, 290, 301, 302, 310, 323, 332, 339, 347, 354, 355, 366, 381, 390 }

    { 14, 21, 65, 59, 83, 64, 17, 37, 98, 49, 38, 27, 87, 55, 54, 32, 68, 71, 34, 30, 82, 57, 76, 97, 80, 73, 26, 96, 48, 43, 40, 52, 11, 58, 24, 39, 61, 92, 28, 60, 51, 47, 85, 89 }

    Returns: 2.5272102763073484E13

  23. { 0, 4, 72, 79, 92, 116, 126, 141, 157, 158, 184, 196, 207, 210, 241, 266, 367, 390 }

    { 72, 31, 87, 27, 100, 12, 32, 51, 43, 93, 74, 54, 57, 53, 11, 18, 42, 71 }

    { 0, 323, 390 }

    { 58, 16, 62 }

    Returns: 1410969.2899460522

  24. { 0, 8, 182, 184, 229, 256, 317, 348, 377, 390 }

    { 38, 28, 73, 45, 30, 42, 85, 80, 43, 32 }

    { 0, 9, 10, 36, 47, 54, 63, 75, 92, 106, 116, 138, 139, 140, 142, 148, 157, 158, 170, 181, 184, 210, 212, 223, 225, 227, 232, 234, 237, 239, 240, 249, 253, 261, 272, 279, 291, 300, 315, 316, 325, 330, 343, 345, 346, 362, 379, 381, 382, 390 }

    { 74, 32, 67, 80, 10, 11, 48, 63, 41, 66, 84, 47, 86, 76, 46, 43, 44, 35, 20, 24, 71, 94, 30, 73, 77, 96, 65, 87, 25, 95, 100, 31, 93, 27, 45, 75, 33, 34, 64, 40, 81, 12, 68, 58, 97, 14, 82, 91, 88, 15 }

    Returns: 2.46112265271553E10

  25. { 0, 4, 26, 61, 103, 119, 127, 215, 267, 312, 341, 390 }

    { 12, 46, 86, 78, 33, 11, 34, 74, 92, 29, 39, 47 }

    { 0, 19, 28, 41, 49, 65, 68, 108, 112, 120, 125, 146, 183, 210, 228, 249, 270, 274, 295, 313, 317, 323, 349, 356, 361, 365, 390 }

    { 21, 41, 47, 20, 36, 56, 52, 38, 86, 12, 11, 84, 95, 22, 65, 81, 72, 48, 27, 39, 59, 35, 78, 37, 79, 24, 58 }

    Returns: 1.7414077615010837E8

  26. { 0, 7, 17, 22, 35, 41, 43, 51, 56, 66, 70, 84, 86, 92, 98, 105, 109, 133, 136, 141, 148, 159, 168, 176, 178, 191, 197, 211, 216, 217, 222, 233, 239, 243, 269, 272, 276, 290, 293, 301, 303, 319, 336, 347, 353, 360, 375, 376, 382, 390 }

    { 52, 60, 31, 70, 43, 59, 79, 78, 64, 16, 81, 35, 45, 26, 20, 47, 39, 82, 49, 67, 68, 19, 87, 40, 23, 25, 38, 48, 88, 100, 61, 53, 73, 56, 34, 92, 46, 93, 36, 13, 91, 90, 84, 95, 30, 21, 89, 74, 75, 99 }

    { 0, 31, 37, 41, 52, 57, 59, 60, 69, 84, 86, 93, 98, 101, 103, 106, 107, 120, 132, 157, 174, 177, 189, 190, 191, 200, 203, 210, 217, 225, 231, 256, 257, 263, 273, 283, 313, 316, 317, 323, 334, 335, 356, 358, 366, 367, 374, 388, 389, 390 }

    { 99, 88, 16, 37, 71, 74, 22, 80, 34, 98, 13, 50, 23, 14, 46, 81, 69, 60, 68, 53, 39, 15, 79, 83, 36, 51, 18, 75, 42, 93, 90, 27, 26, 59, 85, 11, 62, 43, 92, 63, 77, 56, 48, 78, 91, 12, 76, 45, 10, 70 }

    Returns: 3.947879460281004E16

  27. { 0, 11, 16, 19, 25, 46, 57, 64, 87, 96, 100, 110, 130, 150, 156, 157, 158, 162, 165, 173, 174, 182, 186, 200, 214, 234, 243, 251, 254, 258, 261, 267, 269, 270, 286, 288, 292, 293, 294, 311, 319, 342, 353, 358, 370, 375, 380, 382, 390 }

    { 21, 43, 47, 85, 68, 51, 26, 32, 64, 46, 69, 60, 70, 97, 67, 54, 15, 55, 91, 61, 72, 95, 25, 93, 13, 39, 56, 23, 10, 90, 52, 24, 29, 100, 41, 66, 74, 81, 62, 53, 73, 35, 75, 63, 44, 37, 20, 17, 38 }

    { 0, 5, 7, 8, 14, 16, 23, 32, 47, 67, 68, 73, 78, 82, 98, 99, 103, 104, 107, 113, 118, 131, 137, 161, 162, 169, 183, 184, 190, 199, 204, 205, 206, 208, 221, 247, 258, 271, 291, 296, 299, 306, 325, 329, 353, 354, 363, 366, 375, 390 }

    { 99, 48, 66, 42, 100, 24, 38, 72, 40, 44, 61, 11, 17, 91, 10, 16, 25, 88, 94, 29, 86, 15, 87, 41, 20, 58, 62, 56, 26, 84, 30, 79, 59, 32, 83, 68, 53, 52, 37, 43, 22, 97, 81, 45, 93, 47, 89, 71, 80, 23 }

    Returns: 2.320630104347927E15

  28. { 0, 17, 24, 32, 41, 87, 99, 103, 142, 217, 250, 258, 262, 322, 374, 390 }

    { 48, 91, 71, 23, 80, 45, 99, 82, 95, 47, 38, 55, 50, 39, 27, 72 }

    { 0, 27, 34, 54, 94, 115, 175, 184, 216, 259, 261, 288, 294, 299, 307, 390 }

    { 87, 78, 25, 92, 36, 24, 61, 94, 32, 69, 18, 99, 97, 39, 67, 58 }

    Returns: 7998230.595295497

  29. { 0, 2, 9, 27, 31, 32, 43, 48, 74, 75, 108, 117, 122, 126, 145, 146, 149, 159, 160, 163, 169, 175, 176, 201, 209, 217, 225, 231, 232, 236, 246, 260, 281, 303, 304, 310, 319, 324, 325, 326, 330, 332, 334, 364, 375, 376, 377, 378, 389, 390 }

    { 43, 22, 12, 74, 14, 80, 11, 50, 37, 72, 36, 39, 61, 26, 33, 75, 35, 30, 92, 57, 94, 59, 18, 34, 84, 21, 98, 69, 47, 66, 83, 79, 29, 77, 40, 15, 10, 64, 54, 62, 85, 13, 78, 87, 90, 31, 45, 46, 86, 19 }

    { 0, 15, 23, 24, 26, 46, 51, 67, 118, 136, 150, 169, 191, 197, 213, 214, 223, 228, 251, 287, 314, 318, 322, 355, 381, 386, 390 }

    { 93, 19, 42, 20, 77, 84, 62, 45, 73, 13, 57, 56, 50, 100, 60, 46, 33, 89, 21, 35, 87, 67, 10, 55, 53, 25, 16 }

    Returns: 7.15226878528933E13

  30. { 0, 35, 66, 77, 86, 96, 133, 157, 179, 196, 204, 213, 238, 239, 272, 298, 301, 307, 313, 320, 353, 354, 363, 369, 378, 387, 390 }

    { 96, 71, 18, 58, 81, 57, 49, 10, 19, 90, 88, 24, 62, 77, 56, 54, 41, 50, 48, 25, 92, 70, 64, 33, 68, 16, 43 }

    { 0, 2, 12, 24, 34, 48, 55, 83, 105, 110, 130, 144, 174, 185, 193, 231, 232, 247, 252, 272, 285, 286, 293, 294, 317, 324, 346, 348, 381, 390 }

    { 82, 11, 46, 44, 78, 69, 91, 87, 95, 60, 94, 77, 16, 75, 63, 89, 30, 65, 18, 48, 14, 40, 47, 64, 56, 43, 10, 90, 68, 61 }

    Returns: 2.7477531762324715E10

  31. { 0, 6, 13, 23, 47, 59, 67, 69, 93, 111, 121, 144, 148, 159, 163, 189, 197, 199, 212, 222, 239, 244, 254, 258, 266, 273, 283, 286, 308, 313, 318, 321, 326, 333, 344, 351, 358, 364, 382, 385, 390 }

    { 33, 22, 30, 25, 75, 77, 42, 48, 92, 69, 62, 84, 29, 24, 73, 56, 11, 82, 17, 39, 34, 45, 31, 43, 38, 100, 88, 78, 37, 28, 20, 49, 58, 35, 10, 14, 26, 27, 36, 13, 79 }

    { 0, 5, 9, 12, 17, 18, 25, 54, 58, 70, 91, 102, 112, 115, 119, 129, 139, 145, 148, 153, 162, 191, 193, 197, 204, 212, 229, 231, 233, 237, 245, 266, 270, 276, 283, 293, 296, 297, 303, 310, 311, 337, 338, 351, 360, 376, 377, 386, 389, 390 }

    { 31, 21, 86, 66, 65, 12, 96, 77, 78, 22, 95, 36, 29, 85, 11, 14, 61, 83, 82, 97, 75, 70, 44, 88, 67, 55, 64, 53, 57, 25, 28, 19, 74, 24, 20, 41, 100, 10, 59, 43, 72, 69, 42, 84, 73, 30, 37, 71, 32, 87 }

    Returns: 3.6793494047779894E14

  32. { 0, 15, 34, 38, 48, 69, 74, 77, 84, 86, 94, 111, 114, 120, 128, 133, 135, 136, 137, 151, 154, 156, 172, 181, 194, 197, 202, 210, 234, 246, 252, 278, 279, 281, 296, 318, 319, 320, 324, 326, 327, 329, 333, 338, 340, 358, 372, 373, 379, 390 }

    { 46, 55, 60, 26, 35, 98, 93, 44, 11, 83, 54, 56, 97, 100, 41, 48, 10, 79, 27, 50, 21, 59, 74, 58, 34, 80, 94, 20, 32, 89, 53, 95, 28, 12, 92, 24, 43, 91, 62, 71, 25, 66, 81, 47, 42, 77, 57, 63, 78, 36 }

    { 0, 9, 22, 25, 32, 51, 64, 69, 70, 73, 77, 102, 106, 123, 128, 130, 131, 137, 176, 185, 189, 203, 221, 226, 229, 230, 232, 274, 276, 280, 298, 311, 314, 329, 383, 390 }

    { 42, 48, 76, 92, 37, 96, 66, 23, 86, 39, 81, 95, 21, 69, 88, 97, 40, 10, 83, 93, 18, 85, 56, 72, 90, 59, 82, 60, 94, 16, 71, 28, 91, 58, 57, 63 }

    Returns: 3.206471753604965E14

  33. { 0, 5, 13, 23, 41, 45, 53, 55, 60, 66, 68, 106, 112, 130, 145, 166, 179, 180, 193, 197, 199, 210, 211, 212, 213, 215, 229, 254, 281, 293, 306, 307, 308, 326, 353, 362, 365, 376, 388, 390 }

    { 91, 50, 32, 57, 93, 15, 99, 28, 18, 42, 13, 64, 63, 65, 61, 83, 36, 14, 60, 47, 35, 34, 87, 86, 16, 46, 30, 58, 43, 41, 75, 49, 45, 69, 97, 44, 25, 19, 62, 68 }

    { 0, 3, 6, 24, 25, 43, 48, 50, 58, 60, 69, 79, 80, 81, 92, 93, 96, 101, 107, 109, 110, 124, 126, 128, 131, 136, 167, 171, 197, 198, 223, 228, 229, 243, 252, 264, 267, 271, 284, 296, 297, 298, 309, 312, 327, 336, 348, 375, 376, 390 }

    { 63, 49, 81, 27, 35, 72, 79, 92, 73, 86, 17, 20, 42, 75, 64, 90, 51, 58, 36, 21, 71, 57, 85, 91, 26, 65, 68, 98, 48, 50, 33, 53, 60, 82, 77, 56, 44, 10, 16, 70, 67, 46, 93, 11, 31, 18, 97, 66, 83, 30 }

    Returns: 1.5646031875789543E13

  34. { 0, 20, 41, 74, 186, 210, 221, 273, 345, 347, 365, 390 }

    { 88, 39, 98, 29, 12, 26, 65, 24, 16, 69, 53, 62 }

    { 0, 25, 26, 37, 90, 109, 111, 130, 170, 183, 209, 212, 216, 217, 221, 234, 235, 236, 237, 252, 265, 273, 278, 340, 346, 348, 353, 360, 390 }

    { 41, 62, 90, 76, 63, 19, 37, 24, 94, 67, 97, 13, 43, 95, 64, 72, 40, 74, 61, 17, 83, 88, 91, 69, 75, 71, 96, 59, 68 }

    Returns: 8.438064121771981E7

  35. { 0, 10, 12, 62, 66, 107, 123, 136, 179, 192, 204, 234, 248, 259, 275, 350, 353, 365, 390 }

    { 75, 32, 67, 36, 64, 59, 86, 99, 47, 81, 55, 82, 66, 80, 70, 68, 25, 21, 34 }

    { 0, 14, 20, 36, 51, 57, 61, 76, 83, 92, 94, 111, 132, 143, 149, 168, 192, 211, 215, 216, 222, 223, 227, 270, 274, 284, 295, 313, 318, 358, 378, 382, 383, 390 }

    { 19, 50, 18, 51, 52, 56, 13, 93, 75, 92, 12, 76, 49, 77, 17, 44, 40, 39, 71, 34, 53, 29, 96, 89, 94, 41, 88, 65, 78, 28, 32, 35, 47, 15 }

    Returns: 7.635975248887326E8

  36. { 0, 167, 339, 390 }

    { 32, 91, 46, 17 }

    { 0, 12, 23, 31, 32, 59, 82, 89, 92, 101, 103, 106, 108, 126, 127, 135, 140, 151, 155, 170, 176, 180, 189, 200, 213, 221, 224, 234, 263, 267, 282, 286, 289, 331, 333, 358, 363, 367, 388, 390 }

    { 29, 39, 62, 17, 85, 26, 99, 76, 69, 30, 21, 18, 23, 73, 40, 70, 59, 64, 100, 25, 75, 12, 13, 51, 52, 41, 33, 88, 57, 74, 11, 98, 54, 53, 97, 78, 37, 19, 82, 38 }

    Returns: 2.485015162641765E9

  37. { 0, 7, 25, 30, 41, 47, 62, 65, 68, 81, 84, 87, 90, 103, 114, 122, 151, 153, 154, 169, 172, 180, 191, 203, 204, 231, 233, 239, 248, 252, 253, 261, 273, 305, 306, 314, 315, 323, 327, 334, 337, 343, 355, 363, 372, 378, 390 }

    { 50, 41, 71, 80, 63, 37, 91, 12, 18, 11, 39, 79, 25, 98, 32, 70, 73, 77, 52, 86, 10, 85, 64, 59, 45, 58, 61, 44, 46, 48, 90, 14, 53, 20, 36, 81, 88, 68, 75, 33, 100, 51, 17, 22, 43, 16, 66 }

    { 0, 9, 10, 19, 23, 27, 38, 39, 54, 59, 60, 64, 73, 83, 84, 103, 110, 112, 123, 126, 134, 154, 157, 160, 167, 173, 185, 207, 210, 217, 228, 233, 249, 281, 292, 300, 304, 318, 335, 337, 345, 347, 350, 355, 364, 365, 369, 378, 383, 390 }

    { 17, 32, 14, 36, 98, 72, 35, 55, 18, 42, 61, 71, 64, 69, 62, 56, 10, 90, 30, 34, 86, 87, 20, 83, 21, 49, 22, 75, 44, 31, 94, 16, 15, 48, 59, 37, 57, 66, 76, 29, 38, 85, 79, 67, 28, 50, 40, 97, 45, 58 }

    Returns: 3.0256727455571152E16

  38. { 0, 31, 43, 51, 52, 56, 59, 75, 85, 90, 102, 112, 120, 124, 134, 139, 147, 150, 151, 154, 169, 170, 177, 193, 196, 200, 218, 246, 256, 263, 272, 273, 274, 278, 279, 280, 281, 301, 305, 315, 329, 340, 342, 347, 352, 371, 372, 379, 383, 390 }

    { 42, 50, 97, 68, 87, 30, 40, 46, 71, 32, 22, 54, 76, 48, 29, 25, 51, 73, 57, 17, 61, 86, 70, 100, 19, 21, 52, 83, 85, 93, 38, 18, 37, 24, 36, 89, 33, 35, 69, 63, 94, 99, 47, 43, 59, 27, 77, 34, 12, 82 }

    { 0, 2, 5, 98, 138, 189, 218, 220, 249, 307, 384, 390 }

    { 53, 76, 90, 43, 70, 71, 98, 36, 32, 28, 52, 27 }

    Returns: 5.406014624753604E9

  39. { 0, 12, 38, 41, 53, 59, 76, 84, 93, 95, 98, 105, 107, 114, 124, 142, 146, 159, 176, 204, 205, 218, 219, 228, 233, 241, 256, 261, 268, 272, 278, 281, 285, 296, 325, 333, 366, 370, 376, 386, 390 }

    { 48, 53, 59, 40, 29, 80, 15, 18, 93, 94, 44, 52, 90, 22, 70, 82, 75, 66, 26, 95, 88, 23, 78, 85, 32, 81, 98, 100, 58, 36, 65, 25, 13, 38, 57, 43, 54, 45, 35, 27, 12 }

    { 0, 5, 9, 17, 20, 22, 23, 31, 53, 68, 69, 77, 96, 97, 99, 128, 138, 139, 140, 144, 155, 161, 176, 195, 205, 217, 230, 237, 238, 282, 284, 305, 322, 325, 329, 342, 350, 361, 364, 366, 368, 375, 387, 389, 390 }

    { 62, 58, 18, 98, 16, 72, 36, 95, 59, 49, 17, 44, 12, 94, 43, 53, 89, 46, 11, 92, 38, 26, 97, 80, 60, 96, 64, 55, 13, 20, 90, 34, 87, 91, 81, 83, 65, 68, 57, 19, 51, 76, 48, 14, 82 }

    Returns: 1.630452585102564E15

  40. { 0, 20, 35, 42, 49, 97, 148, 162, 183, 193, 206, 209, 236, 271, 277, 284, 294, 336, 361, 376, 383, 386, 390 }

    { 98, 35, 64, 52, 51, 47, 66, 14, 30, 34, 65, 86, 79, 12, 74, 87, 62, 25, 90, 99, 72, 19, 81 }

    { 0, 5, 12, 15, 16, 36, 44, 57, 64, 65, 66, 69, 78, 84, 87, 99, 112, 122, 126, 157, 165, 174, 179, 182, 188, 190, 198, 200, 210, 215, 218, 233, 238, 253, 264, 269, 270, 271, 274, 297, 299, 314, 328, 332, 341, 368, 375, 382, 388, 390 }

    { 35, 20, 17, 38, 50, 70, 29, 56, 37, 83, 34, 21, 32, 47, 59, 76, 82, 95, 25, 46, 15, 52, 10, 66, 98, 51, 41, 45, 78, 63, 96, 36, 16, 89, 18, 11, 99, 58, 61, 100, 90, 44, 75, 57, 62, 39, 73, 81, 68, 22 }

    Returns: 1.3582093078193777E12

  41. { 0, 29, 31, 35, 44, 46, 92, 103, 124, 140, 159, 161, 166, 175, 199, 208, 217, 235, 240, 243, 245, 246, 254, 260, 277, 295, 304, 314, 320, 322, 333, 343, 345, 351, 362, 366, 371, 373, 376, 383, 387, 390 }

    { 43, 24, 91, 23, 55, 37, 11, 74, 46, 53, 75, 93, 20, 41, 85, 12, 83, 63, 22, 94, 73, 33, 40, 13, 18, 67, 38, 15, 65, 81, 32, 97, 19, 61, 77, 21, 86, 28, 17, 29, 100, 76 }

    { 0, 7, 12, 16, 23, 26, 28, 41, 43, 65, 67, 71, 74, 96, 153, 166, 170, 176, 177, 186, 189, 209, 213, 237, 244, 257, 274, 287, 290, 307, 310, 313, 333, 334, 335, 336, 339, 341, 342, 349, 358, 359, 372, 376, 378, 380, 381, 386, 388, 390 }

    { 98, 65, 90, 22, 44, 78, 79, 93, 81, 53, 71, 34, 61, 94, 67, 60, 69, 62, 92, 52, 33, 36, 80, 66, 48, 64, 42, 85, 100, 49, 95, 91, 30, 73, 37, 15, 10, 75, 83, 16, 82, 72, 97, 77, 43, 32, 50, 14, 17, 99 }

    Returns: 5.068076597286777E15

  42. { 0, 16, 30, 88, 130, 188, 234, 335, 390 }

    { 20, 66, 39, 46, 28, 31, 55, 49, 60 }

    { 0, 4, 13, 165, 181, 234, 266, 284, 359, 366, 390 }

    { 82, 64, 54, 78, 38, 11, 13, 56, 51, 75, 92 }

    Returns: 88262.34470274611

  43. { 0, 8, 9, 12, 13, 28, 40, 43, 50, 56, 68, 69, 77, 85, 101, 113, 115, 118, 136, 169, 185, 192, 202, 209, 219, 221, 237, 238, 254, 271, 299, 314, 315, 320, 322, 326, 359, 361, 374, 390 }

    { 77, 31, 65, 12, 28, 81, 99, 24, 49, 82, 25, 43, 35, 95, 37, 36, 34, 58, 71, 89, 33, 44, 92, 88, 73, 15, 54, 78, 68, 16, 87, 98, 63, 74, 40, 29, 13, 84, 69, 79 }

    { 0, 52, 83, 86, 89, 122, 123, 124, 149, 155, 178, 243, 259, 265, 337, 342, 352, 356, 369, 382, 390 }

    { 49, 51, 63, 83, 37, 54, 97, 42, 16, 20, 95, 82, 87, 21, 58, 80, 90, 89, 93, 43, 79 }

    Returns: 3.863018255039785E10

  44. { 0, 19, 28, 40, 41, 44, 45, 56, 58, 59, 83, 89, 96, 97, 107, 128, 137, 149, 153, 158, 161, 173, 186, 194, 200, 201, 202, 203, 215, 218, 231, 239, 244, 257, 272, 281, 282, 295, 296, 304, 308, 329, 337, 360, 363, 365, 372, 379, 381, 390 }

    { 12, 52, 94, 91, 89, 51, 32, 14, 21, 67, 90, 28, 22, 85, 58, 65, 81, 33, 93, 66, 37, 60, 25, 46, 56, 92, 80, 77, 27, 98, 55, 88, 97, 75, 45, 68, 78, 49, 10, 40, 41, 17, 76, 30, 64, 62, 74, 29, 44, 36 }

    { 0, 3, 14, 23, 53, 56, 58, 60, 63, 75, 79, 85, 91, 109, 110, 124, 134, 141, 145, 152, 163, 182, 188, 198, 204, 213, 220, 236, 241, 242, 254, 265, 269, 280, 283, 285, 286, 290, 300, 308, 310, 316, 330, 369, 370, 373, 377, 384, 385, 390 }

    { 92, 51, 72, 71, 31, 99, 69, 57, 96, 90, 95, 60, 49, 45, 93, 52, 68, 13, 58, 100, 29, 97, 34, 36, 65, 76, 18, 19, 24, 55, 40, 63, 56, 33, 21, 39, 86, 30, 73, 28, 84, 98, 50, 48, 27, 74, 88, 54, 44, 22 }

    Returns: 3.476461287153946E14

  45. { 0, 18, 24, 25, 127, 137, 191, 211, 213, 229, 252, 254, 283, 293, 310, 328, 341, 348, 350, 390 }

    { 70, 61, 68, 23, 95, 12, 88, 54, 43, 85, 51, 29, 27, 69, 97, 84, 52, 14, 15, 28 }

    { 0, 43, 44, 67, 104, 164, 172, 206, 226, 250, 270, 278, 286, 291, 306, 307, 390 }

    { 58, 25, 96, 42, 49, 70, 26, 35, 64, 81, 43, 47, 69, 75, 46, 91, 79 }

    Returns: 9376281.057734467

  46. { 0, 4, 45, 59, 66, 81, 133, 156, 204, 213, 224, 303, 330, 390 }

    { 58, 53, 43, 34, 15, 98, 90, 61, 21, 39, 96, 59, 11, 66 }

    { 0, 390 }

    { 40, 96 }

    Returns: 359222.5457267977

  47. { 0, 12, 33, 52, 55, 58, 69, 77, 85, 98, 112, 115, 120, 123, 128, 139, 156, 166, 175, 179, 207, 211, 214, 224, 232, 233, 235, 240, 243, 244, 249, 258, 259, 262, 266, 268, 285, 294, 295, 299, 300, 309, 314, 316, 330, 335, 336, 349, 351, 390 }

    { 79, 89, 46, 11, 90, 61, 39, 93, 18, 60, 71, 66, 67, 86, 82, 72, 75, 33, 100, 24, 62, 55, 99, 74, 98, 26, 15, 91, 73, 47, 19, 92, 59, 68, 36, 94, 51, 32, 22, 42, 17, 64, 65, 76, 14, 54, 85, 21, 80, 97 }

    { 0, 11, 20, 24, 40, 43, 52, 68, 72, 82, 98, 100, 104, 105, 117, 120, 122, 128, 129, 130, 133, 154, 161, 174, 191, 247, 249, 253, 257, 259, 264, 268, 319, 333, 354, 367, 375, 378, 380, 390 }

    { 45, 22, 18, 55, 99, 79, 37, 12, 60, 51, 25, 13, 95, 61, 30, 58, 70, 74, 32, 52, 53, 69, 88, 40, 72, 62, 28, 71, 92, 16, 26, 11, 49, 82, 76, 27, 54, 39, 34, 91 }

    Returns: 1.2774096458920778E15

  48. { 0, 4, 13, 65, 79, 83, 89, 94, 103, 123, 143, 145, 148, 150, 151, 161, 171, 184, 197, 199, 201, 207, 219, 236, 250, 253, 255, 259, 264, 265, 275, 285, 288, 291, 292, 294, 297, 299, 306, 307, 319, 345, 351, 361, 369, 371, 379, 381, 388, 390 }

    { 10, 55, 29, 100, 91, 24, 49, 93, 61, 84, 27, 25, 92, 85, 52, 31, 95, 19, 77, 16, 50, 45, 63, 26, 51, 83, 81, 46, 17, 79, 35, 21, 99, 38, 82, 73, 74, 11, 28, 48, 53, 72, 56, 18, 94, 30, 14, 44, 68, 22 }

    { 0, 5, 17, 19, 21, 32, 36, 38, 44, 52, 54, 57, 62, 63, 88, 90, 97, 113, 139, 140, 148, 152, 166, 168, 190, 192, 199, 209, 231, 253, 257, 262, 275, 293, 300, 307, 317, 323, 327, 330, 332, 334, 340, 344, 350, 356, 375, 377, 389, 390 }

    { 45, 21, 29, 57, 62, 98, 31, 92, 70, 37, 38, 58, 27, 25, 43, 35, 75, 44, 15, 13, 59, 63, 90, 86, 76, 56, 96, 19, 95, 66, 51, 52, 74, 68, 48, 82, 20, 39, 91, 23, 60, 42, 88, 69, 73, 64, 12, 54, 50, 80 }

    Returns: 5.0075698346843256E16

  49. { 0, 35, 81, 127, 128, 136, 171, 181, 189, 194, 217, 224, 252, 390 }

    { 62, 24, 61, 89, 44, 98, 80, 28, 75, 100, 25, 38, 94, 50 }

    { 0, 3, 4, 8, 13, 16, 27, 30, 41, 52, 88, 90, 96, 100, 107, 110, 115, 118, 134, 159, 162, 166, 168, 172, 175, 182, 204, 205, 213, 225, 230, 248, 250, 280, 287, 297, 299, 306, 310, 315, 321, 338, 339, 341, 354, 358, 360, 367, 383, 390 }

    { 95, 68, 48, 36, 30, 80, 34, 75, 32, 71, 82, 21, 57, 16, 67, 92, 100, 64, 50, 46, 53, 94, 18, 60, 19, 87, 10, 44, 37, 56, 22, 11, 93, 79, 61, 25, 54, 42, 31, 55, 83, 91, 76, 26, 88, 33, 73, 65, 13, 23 }

    Returns: 1.5327610827701487E12

  50. { 0, 4, 14, 16, 18, 33, 56, 62, 67, 80, 95, 99, 104, 121, 123, 142, 147, 150, 164, 179, 180, 181, 189, 193, 201, 217, 255, 256, 264, 269, 272, 274, 281, 283, 314, 333, 370, 374, 382, 383, 387, 388, 390 }

    { 47, 56, 85, 27, 28, 75, 41, 77, 95, 69, 39, 17, 38, 23, 88, 57, 70, 42, 52, 97, 19, 80, 53, 51, 25, 62, 55, 81, 64, 74, 40, 84, 59, 44, 82, 35, 67, 79, 45, 94, 12, 92, 36 }

    { 0, 10, 51, 61, 71, 77, 83, 84, 101, 103, 107, 114, 128, 149, 151, 158, 166, 176, 183, 208, 220, 221, 234, 238, 243, 261, 268, 277, 290, 295, 299, 307, 309, 313, 333, 345, 361, 367, 389, 390 }

    { 17, 32, 11, 71, 100, 75, 31, 85, 13, 22, 47, 89, 40, 88, 39, 33, 82, 55, 42, 19, 69, 37, 79, 84, 65, 26, 21, 50, 70, 83, 15, 48, 64, 93, 57, 67, 35, 87, 27, 74 }

    Returns: 7.210085690124384E13

  51. { 0, 28, 37, 55, 56, 68, 69, 73, 104, 139, 174, 193, 230, 231, 238, 241, 250, 252, 261, 270, 291, 307, 313, 340, 352, 365, 371, 374, 378, 379, 390 }

    { 21, 38, 49, 19, 88, 37, 61, 36, 95, 45, 54, 47, 35, 23, 31, 10, 78, 89, 24, 93, 42, 50, 67, 94, 27, 52, 82, 28, 98, 41, 44 }

    { 0, 4, 17, 390 }

    { 28, 58, 62, 20 }

    Returns: 1.2431895772449432E8

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