Statistics

Problem Statement for "Eggheads"

Problem Statement

Eggheads is a quiz show in which a five-person team of challengers competes against a five-person team of professional quizzers called the Eggheads. You are a team of challengers and you want to maximize the probability that your team will win. In this problem you are given the data on how good each quizzer is, and you should compute and return the probability that you win the game if you take the optimal choices. The rules of the game are explained below.

The game consists of four individual rounds followed by a team round. The team that wins the team round wins the game. There are S+1 subjects, numbered from 0 to S. Subject number S is general knowledge. This subject is used in the team round. Four of the remaining S subjects are used in the individual rounds.

Each individual round looks as follows:

  • One of the possible subjects that haven't been chosen yet is chosen uniformly at random and announced.
  • Knowing the subject, you (the challengers) get to choose the two people who will compete against each other: one member of your team and one member of the Eggheads. You may not choose a person who has already competed in a previous individual round.
  • Each person who competes in this round is given three questions on the chosen subject. If one of the contestants has more correct answers than the other, they win the round.
  • In case of a tie, the contestants are repeatedly given one question each until there is a decision (i.e., one contestant gets their question right and the other's answer is wrong).

The team round looks the same as the individual rounds, with one exception:

  • On each team, all the members who have not lost an individual round get to compete. In other words, the people who lost the individual rounds have to leave the room, and then all who remained get to play the final team round.

Suppose we number the members of your team from 0 to 4. We will assume that your team member i can answer any question on subject j with probability p[i][j]. You are given these probabilities as percentages in the int[] yourSkills. More precisely, yourSkills = { p[0][0], ..., p[0][S], p[1][0], .... p[1][S], ..., p[4][S] }.

You are also given the int[] theirSkills that describes your opponents in the same way.

We assume that all random choices in the problem statement are mutually independent. In the team round we assume that a team knows the answer if and only if at least one of the present team members knows the answer.

Definition

Class:
Eggheads
Method:
winProbability
Parameters:
int, int[], int[]
Returns:
double
Method signature:
double winProbability(int S, int[] yourSkills, int[] theirSkills)
(be sure your method is public)

Notes

  • The only choice you actually get to make is the choice which pair of players should compete in each round (knowing the subject for that round).
  • The subject for each round is only chosen and announced when that round begins. Notably, you do not know the subjects for future rounds when making your choice for a particular round.
  • Your answer will be accepted if it has an absolute error at most 1e-9.

Constraints

  • S will be between 4 and 7, inclusive.
  • yourSkills will have 5*(S+1) elements.
  • theirSkills will have 5*(S+1) elements.
  • Each element of yourSkills will be between 1 and 99, inclusive.
  • Each element of theirSkills will be between 1 and 99, inclusive.

Examples

  1. 4

    {50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50}

    {50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50}

    Returns: 0.5

    Everything is fifty-fifty, so your choices don't matter and your team has a 50 percent probability of winning the game.

  2. 7

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

    {99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99}

    Returns: 3.011523858729556E-16

    A team of losers vs. a team of geniuses.

  3. 5

    {50, 1, 1, 1, 1, 30, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

    {70, 99, 99, 99, 99, 99, 20, 20, 20, 20, 20, 1, 20, 20, 20, 20, 20, 1, 20, 20, 20, 20, 20, 1, 20, 20, 20, 20, 20, 1}

    Returns: 0.19276528375258337

    Your team member 0 is decent at subject 0 and also at subject 5 (general knowledge). The Eggheads have one elite player who is amazing at everything except for subject 0. If this player makes it to the final round, your chances of winning it are really slim. Your best bet is to hope that subject 0 comes up during the individual rounds (probability 4/5 = 0.8). If it does, you can send your team member 0 against Egghead 0. With probability 0.258 you will be able to eliminate the Egghead and suddenly you'll have the only good player in the final round. The probability that your two team members (including member 0) will win the final round against four Eggheads (other than Egghead 0) is very close to 93.1%. This option (0.8 * 0.258 * 0.931 = 0.1921584) is the only way in which you have a reasonable chance to win. The other scenarios in which you win are much less likely and contribute only a few hundredths of a percent towards the total probability of winning.

  4. 4

    {50, 1, 1, 1, 10, 1, 50, 1, 1, 10, 1, 1, 50, 1, 10, 1, 1, 1, 50, 10, 1, 1, 1, 1, 10}

    {99, 99, 99, 20, 99, 99, 20, 99, 99, 99, 20, 99, 99, 99, 99, 99, 99, 99, 99, 20, 99, 99, 20, 99, 99}

    Returns: 0.40036967200462004

    Each Egghead has got one weakness. As there are only four subjects other than general knowledge, you can be sure that all of them will come up. You can assign each of your team members who knows a subject to the Egghead who is bad at that subject. With high probability this should give you a final round in which all five of you play against the last remaining Egghead -- the one who is only 20% at general knowledge. If that final round really takes place, your team should win it with probability approximately 77.338%.

  5. 4

    {99, 99, 99, 99, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10}

    {20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20}

    Returns: 3.812459259291132E-5

    Remember that you cannot use the same person twice. Even though your player 0 really excels in four subjects, they can only compete in one individual round. Thus, the remaining three individual rounds will still quite likely be won by an Egghead, and the final round will almost surely be two challengers versus four Eggheads.

  6. 6

    {9, 56, 71, 59, 74, 44, 33, 66, 50, 51, 79, 6, 54, 85, 4, 14, 1, 34, 62, 93, 70, 2, 41, 73, 55, 30, 31, 67, 66, 46, 57, 31, 5, 72, 48}

    {92, 89, 46, 77, 44, 72, 74, 98, 26, 31, 94, 5, 17, 43, 13, 47, 75, 50, 66, 70, 33, 13, 84, 30, 90, 43, 28, 61, 96, 15, 99, 54, 78, 46, 87}

    Returns: 0.9465389540109871

  7. 6

    {99, 31, 72, 34, 46, 69, 73, 6, 62, 40, 73, 51, 34, 94, 67, 29, 78, 15, 81, 27, 49, 63, 33, 78, 72, 20, 57, 2, 22, 71, 81, 98, 11, 10, 35}

    {66, 80, 70, 61, 56, 47, 98, 5, 78, 34, 83, 78, 67, 87, 61, 91, 82, 41, 3, 74, 32, 28, 45, 56, 89, 24, 23, 61, 26, 17, 13, 18, 94, 73, 45}

    Returns: 0.9519523757510053

  8. 7

    {14, 35, 57, 1, 84, 16, 54, 9, 48, 3, 34, 6, 18, 24, 95, 66, 63, 26, 99, 64, 68, 59, 73, 73, 2, 89, 10, 23, 20, 70, 44, 82, 6, 80, 31, 92, 8, 49, 16, 3}

    {12, 39, 7, 71, 40, 31, 79, 94, 69, 20, 71, 75, 98, 35, 80, 74, 11, 73, 63, 44, 72, 7, 15, 53, 54, 46, 39, 73, 98, 63, 77, 18, 9, 66, 15, 60, 84, 59, 3, 56}

    Returns: 0.962373323847318

  9. 4

    {37, 91, 63, 65, 15, 97, 32, 46, 43, 22, 60, 3, 76, 13, 86, 59, 59, 36, 82, 70, 88, 89, 89, 4, 72}

    {25, 87, 37, 6, 99, 34, 70, 62, 50, 9, 93, 14, 67, 91, 76, 77, 62, 69, 96, 47, 75, 40, 53, 99, 88}

    Returns: 0.9856911779942635

  10. 5

    {94, 81, 12, 14, 66, 40, 52, 43, 69, 47, 14, 12, 80, 96, 55, 47, 7, 45, 75, 8, 51, 82, 35, 33, 27, 38, 27, 60, 85, 39}

    {57, 57, 41, 87, 8, 20, 75, 62, 1, 4, 55, 59, 67, 57, 79, 33, 38, 14, 39, 16, 22, 55, 44, 64, 55, 31, 65, 73, 66, 34}

    Returns: 0.9800645810370936

  11. 6

    {72, 3, 78, 87, 49, 77, 76, 90, 77, 89, 80, 60, 79, 72, 23, 88, 90, 49, 6, 24, 79, 24, 80, 10, 63, 53, 8, 29, 60, 23, 77, 51, 1, 80, 18}

    {96, 10, 72, 50, 1, 50, 64, 95, 59, 81, 48, 94, 16, 66, 52, 14, 12, 54, 53, 71, 14, 80, 23, 86, 64, 61, 57, 77, 12, 51, 68, 65, 42, 56, 96}

    Returns: 0.9421580236464789

  12. 5

    {41, 51, 10, 17, 92, 63, 43, 84, 84, 14, 33, 63, 12, 46, 4, 51, 80, 11, 77, 29, 67, 83, 27, 65, 33, 92, 98, 40, 65, 78}

    {15, 72, 8, 37, 93, 23, 63, 90, 31, 52, 79, 61, 1, 76, 52, 78, 31, 81, 71, 48, 14, 44, 9, 21, 76, 14, 31, 24, 11, 19}

    Returns: 0.995247455751608

  13. 5

    {93, 22, 10, 12, 17, 76, 51, 45, 16, 54, 38, 71, 82, 29, 87, 45, 99, 12, 83, 41, 14, 5, 26, 72, 18, 43, 12, 41, 99, 92}

    {85, 55, 65, 70, 74, 97, 99, 88, 46, 67, 67, 55, 82, 57, 56, 87, 53, 94, 63, 3, 25, 42, 7, 77, 55, 13, 57, 99, 75, 16}

    Returns: 0.9140853966275626

  14. 4

    {43, 56, 95, 8, 43, 97, 24, 86, 53, 61, 95, 67, 61, 89, 67, 16, 30, 26, 81, 4, 70, 64, 42, 19, 87}

    {21, 38, 10, 7, 96, 78, 39, 6, 83, 80, 86, 1, 33, 45, 25, 72, 28, 48, 48, 18, 26, 58, 79, 5, 95}

    Returns: 0.9990415514201296

  15. 6

    {78, 86, 39, 54, 15, 55, 54, 45, 97, 64, 33, 6, 93, 73, 93, 89, 63, 30, 35, 52, 8, 4, 51, 25, 99, 54, 47, 67, 12, 45, 93, 80, 81, 44, 57}

    {9, 9, 61, 35, 9, 21, 27, 30, 55, 61, 26, 38, 1, 15, 78, 73, 2, 33, 69, 28, 69, 48, 61, 28, 43, 52, 5, 87, 83, 76, 54, 42, 69, 45, 1}

    Returns: 0.9969801550870256

  16. 4

    {3, 40, 7, 78, 28, 68, 79, 1, 5, 71, 76, 7, 50, 98, 60, 25, 12, 36, 87, 82, 51, 66, 45, 5, 9}

    {39, 77, 92, 40, 7, 79, 57, 60, 53, 94, 93, 43, 93, 12, 33, 54, 48, 13, 91, 49, 49, 23, 38, 4, 4}

    Returns: 0.9880430806986561

  17. 5

    {17, 72, 29, 12, 1, 55, 55, 54, 91, 55, 75, 94, 17, 20, 99, 93, 95, 95, 49, 69, 83, 59, 34, 82, 83, 19, 10, 6, 76, 31}

    {94, 76, 17, 10, 3, 18, 16, 67, 17, 79, 38, 73, 78, 54, 71, 96, 63, 79, 75, 4, 22, 77, 70, 75, 82, 93, 19, 30, 16, 20}

    Returns: 0.999061162481313

  18. 6

    {79, 62, 84, 63, 59, 78, 40, 53, 97, 58, 78, 24, 2, 55, 63, 63, 94, 53, 44, 48, 72, 39, 40, 51, 49, 5, 80, 98, 68, 35, 19, 60, 51, 13, 99}

    {85, 14, 76, 5, 48, 82, 44, 85, 87, 74, 97, 19, 1, 34, 45, 21, 80, 6, 53, 62, 92, 42, 19, 35, 33, 43, 53, 85, 15, 27, 86, 23, 80, 30, 37}

    Returns: 0.9996425749032188

  19. 5

    {59, 90, 99, 68, 44, 20, 68, 47, 15, 19, 23, 73, 30, 70, 74, 68, 42, 82, 82, 70, 27, 82, 32, 6, 47, 49, 97, 23, 63, 78}

    {94, 93, 22, 25, 52, 94, 86, 7, 61, 42, 71, 70, 10, 34, 13, 18, 86, 66, 96, 75, 86, 27, 36, 77, 50, 15, 33, 71, 46, 16}

    Returns: 0.9760442609722069

  20. 7

    {48, 84, 69, 29, 38, 33, 78, 87, 90, 84, 42, 73, 5, 98, 80, 27, 38, 58, 99, 42, 97, 15, 19, 76, 24, 34, 44, 36, 13, 38, 27, 5, 98, 35, 79, 84, 28, 26, 88, 64}

    {64, 10, 49, 84, 3, 84, 99, 76, 20, 14, 54, 39, 29, 53, 97, 25, 12, 28, 83, 82, 86, 29, 71, 12, 72, 54, 40, 41, 48, 16, 12, 89, 41, 59, 28, 99, 16, 84, 12, 69}

    Returns: 0.992615016407233

  21. 6

    {98, 73, 89, 62, 29, 8, 41, 40, 94, 95, 86, 49, 34, 99, 76, 8, 10, 33, 59, 65, 29, 66, 66, 63, 37, 41, 56, 67, 32, 79, 88, 90, 83, 43, 74}

    {82, 27, 74, 23, 25, 31, 97, 6, 4, 89, 78, 66, 78, 34, 95, 78, 38, 26, 44, 76, 78, 81, 72, 44, 65, 23, 96, 42, 48, 24, 21, 85, 94, 64, 10}

    Returns: 0.996658959795287

  22. 4

    {51, 60, 89, 58, 38, 80, 13, 82, 90, 64, 81, 35, 43, 37, 89, 28, 90, 55, 10, 33, 79, 49, 42, 59, 38}

    {21, 31, 24, 47, 30, 40, 5, 28, 89, 74, 61, 4, 46, 2, 81, 37, 36, 71, 54, 97, 68, 31, 59, 59, 7}

    Returns: 0.9896658596257643

  23. 4

    {93, 17, 94, 52, 57, 24, 32, 6, 52, 87, 58, 69, 68, 13, 72, 4, 70, 58, 70, 63, 76, 21, 21, 97, 31}

    {36, 86, 41, 25, 72, 87, 64, 66, 96, 36, 59, 33, 44, 68, 15, 29, 98, 33, 29, 5, 18, 32, 89, 95, 92}

    Returns: 0.9977209496347559

  24. 7

    {95, 92, 11, 42, 94, 71, 95, 83, 84, 28, 42, 81, 13, 34, 67, 21, 36, 47, 18, 96, 22, 11, 24, 8, 99, 66, 23, 78, 83, 72, 79, 79, 14, 37, 6, 42, 24, 12, 58, 36}

    {13, 39, 26, 76, 97, 97, 64, 80, 93, 19, 99, 18, 32, 92, 69, 31, 78, 40, 33, 87, 95, 59, 4, 40, 25, 96, 4, 56, 23, 35, 90, 63, 25, 58, 2, 48, 82, 32, 52, 65}

    Returns: 0.9634634691098998

  25. 5

    {23, 23, 78, 7, 28, 41, 79, 52, 84, 39, 94, 35, 81, 12, 39, 30, 6, 72, 61, 40, 31, 38, 59, 23, 23, 71, 39, 59, 38, 38}

    {79, 95, 7, 40, 5, 85, 9, 79, 77, 52, 73, 65, 55, 19, 49, 50, 85, 70, 29, 68, 72, 53, 89, 57, 70, 24, 33, 52, 42, 43}

    Returns: 0.8473169323571255

  26. 4

    {14, 2, 59, 2, 1, 16, 12, 44, 4, 35, 2, 27, 4, 63, 6, 2, 97, 11, 38, 25, 3, 5, 24, 84, 3}

    {20, 36, 62, 13, 37, 89, 34, 20, 51, 87, 29, 29, 97, 23, 12, 38, 67, 19, 60, 38, 5, 14, 88, 72, 29}

    Returns: 0.8039835314398653

  27. 5

    {1, 14, 6, 1, 7, 1, 6, 23, 20, 3, 22, 68, 42, 1, 3, 93, 3, 5, 3, 23, 1, 11, 8, 9, 11, 11, 32, 3, 16, 13}

    {40, 79, 90, 86, 67, 91, 89, 96, 81, 65, 49, 80, 29, 87, 7, 28, 28, 98, 63, 76, 57, 64, 52, 70, 52, 18, 54, 46, 2, 90}

    Returns: 0.059280228887574615

  28. 6

    {19, 5, 1, 1, 48, 3, 27, 2, 2, 3, 70, 2, 12, 18, 20, 3, 12, 1, 96, 1, 24, 15, 3, 2, 1, 1, 11, 42, 55, 1, 23, 15, 8, 63, 46}

    {66, 74, 42, 66, 29, 50, 95, 59, 18, 82, 22, 22, 26, 43, 1, 76, 67, 95, 26, 71, 58, 21, 38, 67, 83, 56, 84, 61, 71, 56, 88, 3, 22, 75, 55}

    Returns: 0.34138022221386255

  29. 7

    {1, 1, 3, 2, 79, 1, 7, 4, 78, 7, 1, 30, 10, 1, 7, 1, 34, 9, 45, 5, 2, 3, 19, 4, 2, 3, 3, 5, 2, 14, 26, 43, 28, 1, 10, 36, 1, 1, 91, 1}

    {50, 13, 9, 72, 62, 96, 3, 16, 23, 43, 86, 94, 17, 90, 17, 36, 29, 18, 7, 50, 21, 54, 71, 4, 10, 32, 87, 90, 65, 55, 66, 81, 77, 9, 46, 32, 46, 35, 25, 6}

    Returns: 0.5838177425558396

  30. 6

    {1, 1, 7, 53, 1, 48, 43, 21, 2, 30, 3, 15, 1, 7, 1, 26, 3, 4, 20, 30, 13, 3, 7, 3, 3, 11, 1, 1, 1, 5, 15, 81, 19, 32, 26}

    {37, 73, 6, 34, 48, 48, 47, 21, 12, 96, 33, 12, 62, 69, 65, 60, 86, 44, 78, 50, 21, 38, 16, 58, 55, 75, 87, 34, 32, 93, 31, 98, 6, 21, 5}

    Returns: 0.5342903221604409

  31. 6

    {58, 11, 2, 49, 91, 17, 6, 3, 1, 2, 43, 19, 13, 4, 49, 43, 16, 51, 58, 27, 5, 5, 53, 13, 45, 3, 16, 10, 27, 9, 1, 29, 83, 43, 85}

    {58, 9, 28, 47, 87, 50, 25, 64, 90, 10, 81, 72, 64, 26, 8, 3, 42, 72, 25, 49, 2, 18, 72, 86, 51, 48, 30, 14, 32, 26, 50, 33, 76, 60, 94}

    Returns: 0.803467488046619

  32. 7

    {15, 1, 2, 6, 82, 35, 68, 2, 2, 1, 2, 20, 1, 48, 7, 82, 15, 2, 29, 1, 3, 80, 13, 1, 30, 3, 85, 6, 58, 3, 1, 92, 45, 30, 10, 3, 1, 8, 4, 8}

    {14, 33, 44, 85, 28, 48, 2, 45, 29, 28, 26, 24, 44, 31, 50, 8, 86, 15, 17, 79, 66, 80, 54, 42, 47, 58, 63, 60, 64, 76, 22, 98, 5, 54, 76, 65, 70, 60, 42, 48}

    Returns: 0.8203847595772601

  33. 7

    {2, 14, 69, 6, 23, 2, 1, 56, 22, 8, 5, 3, 46, 1, 34, 26, 26, 7, 68, 21, 76, 2, 6, 8, 76, 27, 58, 6, 5, 10, 20, 6, 1, 7, 60, 16, 6, 12, 2, 15}

    {8, 38, 64, 13, 67, 81, 39, 92, 47, 67, 71, 32, 11, 74, 9, 5, 17, 35, 90, 41, 53, 12, 28, 80, 73, 37, 26, 44, 13, 70, 28, 99, 62, 24, 9, 64, 7, 26, 9, 47}

    Returns: 0.3650776356454595

  34. 4

    {9, 72, 11, 2, 2, 88, 2, 22, 15, 8, 85, 2, 53, 1, 30, 3, 3, 21, 56, 5, 42, 4, 1, 2, 59}

    {72, 29, 71, 1, 66, 20, 32, 91, 60, 56, 12, 66, 98, 99, 68, 7, 80, 78, 22, 85, 94, 50, 37, 44, 39}

    Returns: 0.5401720925525649

  35. 7

    {9, 6, 7, 19, 7, 2, 16, 1, 30, 50, 13, 40, 36, 38, 5, 7, 50, 27, 52, 2, 2, 84, 3, 6, 3, 52, 28, 1, 8, 1, 10, 62, 1, 2, 2, 11, 2, 15, 73, 3}

    {11, 85, 56, 88, 75, 52, 37, 67, 23, 19, 88, 28, 46, 67, 48, 33, 10, 18, 70, 86, 11, 32, 78, 40, 47, 59, 93, 81, 22, 83, 65, 57, 78, 56, 13, 21, 91, 96, 71, 6}

    Returns: 0.5330394874944603

  36. 5

    {12, 14, 58, 23, 24, 3, 19, 1, 11, 3, 34, 2, 87, 6, 59, 4, 14, 66, 34, 1, 19, 1, 19, 95, 1, 7, 1, 97, 2, 3}

    {90, 99, 11, 86, 77, 75, 64, 15, 3, 60, 88, 57, 4, 6, 64, 59, 27, 96, 99, 16, 75, 52, 42, 55, 47, 95, 21, 38, 54, 99}

    Returns: 0.7907685229479903

  37. 7

    {23, 7, 7, 25, 26, 8, 2, 27, 2, 4, 4, 4, 11, 98, 23, 2, 1, 3, 1, 11, 58, 1, 57, 10, 6, 1, 2, 6, 1, 28, 49, 58, 21, 39, 16, 13, 37, 22, 30, 20}

    {32, 78, 46, 70, 62, 82, 52, 48, 55, 37, 51, 22, 24, 27, 64, 46, 70, 80, 33, 54, 98, 46, 49, 34, 22, 51, 7, 77, 98, 6, 50, 69, 57, 42, 5, 36, 92, 86, 50, 50}

    Returns: 0.362287896593006

  38. 5

    {11, 4, 1, 1, 58, 57, 6, 13, 1, 2, 8, 6, 4, 63, 2, 36, 15, 28, 5, 61, 3, 13, 3, 7, 9, 4, 32, 3, 1, 13}

    {60, 94, 31, 56, 73, 1, 36, 57, 50, 42, 21, 47, 42, 48, 97, 45, 30, 43, 94, 92, 34, 53, 5, 93, 25, 37, 95, 71, 8, 77}

    Returns: 0.3858117189588364

  39. 5

    {9, 7, 1, 1, 5, 14, 18, 3, 52, 11, 3, 4, 3, 36, 3, 14, 45, 6, 1, 28, 5, 1, 1, 96, 10, 2, 11, 3, 12, 1}

    {38, 84, 60, 64, 8, 4, 26, 1, 56, 3, 14, 69, 54, 97, 84, 22, 57, 38, 59, 94, 41, 53, 59, 57, 98, 15, 78, 63, 71, 29}

    Returns: 0.9124491212565055

  40. 6

    {1, 28, 1, 38, 81, 17, 30, 3, 13, 60, 4, 58, 12, 1, 1, 26, 30, 1, 9, 2, 24, 3, 60, 3, 6, 21, 5, 1, 5, 10, 12, 20, 60, 55, 11}

    {95, 12, 89, 84, 31, 54, 67, 14, 91, 31, 41, 85, 2, 7, 68, 65, 42, 13, 7, 77, 7, 58, 44, 68, 64, 94, 48, 17, 16, 31, 18, 7, 10, 31, 33}

    Returns: 0.7125896690063632

  41. 5

    {2, 1, 7, 14, 11, 3, 12, 40, 10, 63, 2, 8, 81, 33, 1, 3, 86, 7, 5, 1, 5, 1, 9, 89, 1, 24, 21, 27, 51, 7}

    {1, 36, 2, 78, 39, 53, 19, 36, 12, 43, 55, 58, 62, 68, 98, 43, 17, 87, 45, 13, 16, 24, 96, 90, 96, 44, 38, 51, 82, 10}

    Returns: 0.7735762852093263

  42. 4

    {16, 31, 31, 5, 3, 26, 3, 90, 2, 11, 18, 1, 1, 19, 14, 80, 27, 51, 1, 15, 2, 19, 6, 18, 1}

    {80, 10, 16, 7, 76, 82, 70, 13, 40, 15, 58, 62, 76, 81, 42, 27, 59, 43, 96, 31, 22, 45, 8, 15, 21}

    Returns: 0.4795253331123889

  43. 4

    {1, 30, 3, 7, 83, 6, 48, 72, 30, 5, 1, 45, 1, 1, 25, 24, 38, 33, 89, 30, 94, 3, 13, 6, 12}

    {40, 33, 74, 86, 23, 83, 39, 30, 70, 76, 67, 98, 6, 92, 36, 20, 97, 71, 66, 42, 6, 58, 93, 95, 11}

    Returns: 0.9455639463586483

  44. 4

    {18, 5, 45, 2, 37, 3, 84, 7, 1, 50, 1, 1, 21, 6, 7, 1, 1, 17, 1, 12, 14, 6, 83, 5, 3}

    {89, 47, 59, 60, 58, 60, 41, 74, 26, 42, 3, 41, 6, 65, 36, 12, 13, 95, 99, 76, 50, 72, 61, 61, 65}

    Returns: 0.3994451272451517

  45. 6

    {15, 4, 55, 12, 1, 3, 3, 1, 15, 2, 8, 3, 25, 4, 8, 4, 84, 33, 7, 11, 8, 14, 1, 3, 5, 31, 29, 25, 6, 69, 15, 4, 2, 4, 27}

    {45, 39, 23, 16, 27, 41, 99, 18, 75, 52, 21, 50, 55, 70, 63, 29, 40, 13, 21, 41, 15, 57, 34, 20, 89, 34, 33, 78, 93, 97, 13, 56, 42, 24, 10}

    Returns: 0.2891614326048608

  46. 5

    {17, 21, 94, 30, 5, 68, 97, 1, 43, 74, 99, 8, 17, 12, 36, 4, 81, 7, 47, 1, 94, 74, 35, 38, 1, 23, 59, 27, 31, 41}

    {12, 79, 77, 1, 1, 5, 1, 1, 11, 12, 4, 1, 88, 21, 2, 15, 85, 1, 1, 4, 24, 21, 8, 9, 47, 4, 6, 50, 61, 19}

    Returns: 0.9998674423306193

  47. 7

    {32, 5, 2, 80, 63, 56, 11, 4, 22, 54, 92, 72, 38, 93, 8, 36, 33, 8, 33, 16, 14, 68, 92, 83, 36, 57, 23, 72, 24, 21, 60, 11, 98, 66, 7, 66, 46, 88, 50, 7}

    {1, 7, 52, 37, 6, 2, 6, 3, 1, 57, 15, 29, 11, 29, 34, 59, 45, 1, 12, 6, 2, 4, 35, 9, 29, 1, 42, 2, 3, 1, 1, 3, 3, 3, 1, 2, 2, 3, 82, 58}

    Returns: 0.9985761270563445

  48. 5

    {71, 30, 70, 17, 68, 29, 99, 36, 17, 17, 26, 68, 47, 58, 81, 90, 6, 13, 43, 37, 7, 9, 59, 46, 27, 57, 70, 27, 25, 86}

    {21, 24, 19, 26, 3, 4, 33, 7, 33, 3, 43, 1, 4, 49, 3, 33, 21, 29, 21, 1, 1, 3, 37, 16, 70, 1, 4, 11, 68, 1}

    Returns: 0.9999949114106929

  49. 5

    {87, 72, 83, 47, 57, 21, 60, 54, 77, 27, 21, 52, 67, 28, 54, 86, 82, 55, 29, 49, 77, 87, 20, 95, 81, 8, 59, 25, 37, 86}

    {98, 3, 1, 1, 25, 27, 3, 2, 1, 20, 6, 2, 26, 12, 65, 11, 49, 78, 31, 21, 1, 1, 26, 17, 7, 9, 4, 5, 58, 1}

    Returns: 0.999928853546528

  50. 7

    {96, 19, 50, 81, 76, 70, 94, 46, 81, 55, 3, 61, 55, 24, 25, 54, 47, 30, 8, 72, 6, 9, 53, 76, 26, 34, 50, 48, 42, 36, 34, 69, 34, 50, 13, 63, 28, 60, 33, 31}

    {11, 1, 1, 2, 25, 1, 1, 2, 90, 22, 37, 1, 1, 6, 7, 21, 28, 13, 60, 1, 7, 36, 7, 6, 14, 50, 17, 13, 8, 15, 1, 53, 21, 44, 7, 38, 1, 6, 5, 2}

    Returns: 0.9998791831471072

  51. 4

    {14, 79, 13, 87, 59, 73, 2, 12, 5, 99, 93, 9, 60, 27, 28, 35, 32, 60, 92, 34, 27, 26, 68, 81, 91}

    {3, 2, 48, 14, 2, 3, 76, 7, 17, 78, 19, 3, 17, 3, 17, 26, 10, 3, 1, 8, 1, 1, 3, 58, 9}

    Returns: 0.9999999142787013

  52. 4

    {80, 83, 33, 55, 2, 43, 18, 83, 25, 11, 38, 79, 50, 58, 55, 42, 96, 30, 98, 64, 38, 30, 10, 45, 36}

    {32, 25, 13, 85, 1, 30, 24, 6, 47, 25, 3, 7, 23, 2, 3, 5, 40, 6, 55, 87, 1, 6, 79, 23, 4}

    Returns: 0.9990596619615006

  53. 4

    {37, 64, 49, 27, 20, 85, 26, 19, 14, 1, 31, 74, 77, 98, 87, 43, 30, 20, 45, 15, 17, 75, 92, 55, 85}

    {6, 31, 29, 15, 24, 21, 46, 3, 20, 3, 1, 79, 18, 1, 13, 10, 8, 7, 16, 28, 14, 1, 4, 9, 56}

    Returns: 0.9999651924538628

  54. 5

    {9, 3, 27, 75, 37, 74, 89, 61, 77, 72, 26, 13, 97, 18, 57, 96, 39, 90, 32, 49, 15, 74, 3, 25, 73, 43, 26, 2, 45, 19}

    {7, 35, 23, 22, 29, 86, 3, 8, 21, 28, 3, 11, 84, 3, 20, 3, 2, 5, 44, 7, 2, 14, 2, 3, 15, 10, 11, 28, 57, 10}

    Returns: 0.9994391407741798

  55. 5

    {71, 27, 17, 30, 5, 49, 13, 26, 64, 69, 74, 47, 79, 11, 55, 23, 14, 96, 87, 53, 94, 96, 24, 70, 74, 74, 44, 51, 41, 52}

    {28, 3, 79, 93, 85, 1, 6, 12, 2, 2, 1, 1, 84, 10, 27, 26, 5, 6, 67, 6, 6, 5, 5, 29, 6, 1, 42, 1, 3, 4}

    Returns: 0.9999998710742727

  56. 4

    {53, 73, 68, 96, 9, 41, 95, 13, 21, 61, 78, 4, 57, 32, 53, 70, 88, 34, 98, 53, 3, 71, 9, 68, 23}

    {3, 2, 50, 3, 46, 11, 2, 10, 4, 10, 62, 63, 99, 17, 6, 10, 5, 47, 7, 2, 3, 12, 84, 3, 2}

    Returns: 0.9999510430350207

  57. 6

    {1, 43, 31, 21, 1, 50, 54, 32, 3, 26, 19, 29, 78, 94, 6, 8, 63, 69, 10, 43, 54, 29, 74, 16, 88, 5, 87, 19, 10, 34, 17, 37, 49, 55, 42}

    {10, 27, 65, 55, 33, 12, 52, 3, 20, 10, 59, 30, 31, 49, 1, 1, 1, 44, 1, 10, 3, 48, 2, 66, 7, 9, 1, 1, 25, 64, 67, 1, 6, 40, 48}

    Returns: 0.9979875533423489

  58. 4

    {95, 28, 56, 8, 79, 35, 40, 4, 22, 69, 34, 18, 19, 82, 52, 25, 60, 43, 8, 41, 73, 82, 8, 85, 75}

    {46, 34, 22, 13, 6, 2, 2, 20, 1, 20, 12, 7, 18, 6, 4, 3, 75, 85, 3, 25, 3, 27, 26, 24, 52}

    Returns: 0.9999904079014318

  59. 7

    {79, 44, 56, 29, 4, 41, 81, 91, 51, 65, 83, 37, 97, 81, 30, 83, 48, 46, 1, 56, 67, 96, 41, 59, 42, 6, 41, 94, 98, 80, 26, 34, 95, 12, 15, 13, 93, 32, 31, 50}

    {2, 22, 84, 16, 1, 22, 1, 23, 4, 88, 14, 45, 1, 23, 1, 12, 2, 28, 10, 3, 5, 15, 1, 59, 1, 34, 31, 9, 62, 82, 3, 6, 67, 5, 24, 83, 1, 18, 23, 53}

    Returns: 0.999910184918603

  60. 5

    {83, 40, 80, 73, 65, 70, 68, 5, 57, 59, 68, 33, 39, 40, 7, 31, 35, 57, 68, 86, 99, 68, 32, 88, 68, 60, 6, 7, 67, 2}

    {3, 5, 4, 26, 27, 91, 5, 39, 3, 33, 1, 2, 3, 49, 2, 96, 10, 1, 41, 7, 22, 2, 67, 2, 4, 57, 53, 2, 75, 91}

    Returns: 0.9994568134074571

  61. 6

    {81, 57, 45, 60, 82, 47, 8, 11, 30, 50, 31, 38, 10, 64, 24, 1, 61, 94, 50, 78, 34, 2, 38, 50, 96, 55, 42, 16, 99, 71, 13, 70, 43, 63, 12}

    {2, 1, 1, 2, 2, 63, 59, 1, 7, 23, 4, 1, 25, 24, 52, 11, 14, 10, 36, 78, 2, 10, 96, 2, 59, 91, 5, 7, 20, 8, 18, 61, 16, 3, 1}

    Returns: 0.9994340204439782

  62. 5

    {90, 66, 69, 31, 38, 7, 88, 96, 58, 53, 25, 94, 8, 24, 44, 78, 55, 50, 53, 55, 64, 60, 70, 20, 65, 82, 16, 68, 19, 70}

    {7, 1, 89, 15, 1, 2, 7, 12, 6, 1, 87, 1, 6, 3, 1, 12, 3, 5, 19, 3, 3, 2, 1, 1, 62, 49, 16, 2, 48, 1}

    Returns: 0.9999999129177113

  63. 7

    {53, 42, 93, 38, 49, 35, 79, 75, 12, 14, 13, 62, 14, 98, 46, 46, 56, 20, 77, 36, 74, 84, 79, 63, 60, 82, 88, 81, 91, 62, 61, 31, 39, 62, 50, 23, 85, 94, 42, 57}

    {3, 2, 31, 4, 11, 29, 1, 5, 5, 1, 5, 25, 77, 39, 59, 92, 4, 14, 3, 1, 1, 47, 1, 55, 21, 6, 4, 65, 52, 4, 51, 1, 2, 8, 15, 7, 1, 2, 1, 2}

    Returns: 0.9991139077696357

  64. 6

    {77, 23, 1, 74, 59, 50, 44, 29, 3, 27, 52, 41, 66, 16, 84, 16, 7, 86, 45, 27, 34, 62, 50, 8, 5, 95, 88, 27, 60, 30, 64, 58, 34, 88, 55}

    {98, 88, 2, 7, 7, 11, 76, 58, 6, 23, 13, 61, 3, 16, 1, 18, 1, 60, 5, 16, 11, 7, 35, 67, 1, 21, 1, 1, 4, 50, 4, 2, 10, 31, 2}

    Returns: 0.9986719586712199

  65. 4

    {54, 82, 39, 74, 88, 5, 6, 30, 60, 71, 94, 15, 28, 99, 5, 56, 31, 5, 54, 19, 37, 89, 8, 77, 15}

    {90, 1, 4, 61, 56, 11, 42, 16, 40, 13, 14, 20, 61, 20, 53, 1, 5, 1, 15, 6, 2, 8, 1, 44, 6}

    Returns: 0.999893269599565

  66. 7

    {43, 2, 4, 35, 11, 71, 3, 34, 28, 3, 1, 5, 2, 2, 7, 7, 1, 54, 2, 1, 42, 78, 9, 2, 7, 7, 1, 5, 59, 11, 1, 7, 2, 4, 1, 6, 15, 4, 5, 4}

    {1, 23, 5, 3, 61, 55, 9, 11, 1, 21, 5, 7, 1, 50, 4, 46, 9, 3, 44, 74, 75, 1, 6, 54, 16, 18, 15, 4, 89, 70, 1, 14, 10, 3, 1, 4, 55, 24, 11, 17}

    Returns: 0.7158021412008724

  67. 6

    {14, 77, 1, 55, 1, 6, 49, 4, 2, 76, 63, 11, 3, 21, 5, 21, 39, 2, 22, 1, 3, 1, 80, 16, 1, 29, 15, 1, 3, 21, 42, 5, 1, 25, 1}

    {29, 1, 7, 10, 2, 7, 4, 3, 51, 1, 42, 89, 3, 61, 1, 1, 41, 1, 67, 23, 88, 2, 4, 6, 14, 2, 19, 6, 14, 1, 88, 32, 4, 4, 31}

    Returns: 0.9121406614587797

  68. 4

    {6, 38, 1, 1, 19, 3, 39, 11, 59, 1, 18, 3, 3, 5, 5, 56, 72, 16, 76, 1, 20, 63, 4, 51, 7}

    {27, 3, 1, 3, 8, 30, 35, 3, 7, 34, 20, 7, 1, 21, 92, 32, 17, 4, 15, 42, 7, 3, 1, 45, 1}

    Returns: 0.7853567366895835

  69. 4

    {4, 16, 56, 1, 3, 30, 81, 92, 75, 14, 3, 2, 18, 10, 1, 5, 1, 3, 4, 8, 24, 6, 1, 1, 3}

    {77, 99, 31, 12, 2, 2, 46, 41, 30, 16, 17, 58, 2, 28, 9, 13, 2, 74, 98, 2, 21, 3, 10, 6, 36}

    Returns: 0.91182378833217

  70. 7

    {18, 47, 33, 16, 8, 1, 6, 41, 68, 99, 3, 88, 4, 41, 85, 9, 11, 44, 27, 3, 1, 14, 2, 3, 13, 1, 5, 3, 22, 7, 18, 7, 5, 1, 21, 48, 69, 3, 55, 3}

    {30, 29, 18, 26, 59, 1, 45, 1, 2, 44, 18, 57, 5, 2, 64, 67, 3, 5, 47, 14, 2, 31, 1, 3, 39, 78, 12, 1, 34, 1, 1, 1, 3, 65, 54, 14, 58, 6, 17, 24}

    Returns: 0.9571309434163804

  71. 7

    {7, 63, 5, 11, 17, 1, 49, 1, 29, 63, 5, 2, 24, 2, 18, 42, 3, 4, 10, 38, 8, 22, 1, 4, 1, 19, 28, 16, 37, 23, 29, 3, 4, 34, 38, 1, 29, 11, 51, 3}

    {63, 6, 12, 1, 47, 33, 30, 34, 4, 3, 10, 2, 5, 6, 52, 9, 2, 15, 2, 1, 3, 1, 1, 1, 3, 3, 15, 1, 14, 22, 28, 3, 8, 18, 13, 85, 2, 1, 1, 48}

    Returns: 0.9331196615960391

  72. 7

    {1, 8, 1, 49, 17, 2, 2, 28, 28, 29, 16, 7, 54, 1, 4, 1, 46, 2, 13, 7, 3, 18, 42, 7, 59, 46, 1, 5, 51, 2, 3, 35, 6, 43, 3, 6, 37, 44, 25, 59}

    {70, 1, 39, 1, 98, 3, 7, 1, 1, 16, 67, 38, 19, 9, 83, 5, 26, 1, 1, 20, 40, 12, 21, 2, 1, 5, 3, 63, 4, 3, 25, 2, 1, 54, 7, 4, 54, 90, 40, 4}

    Returns: 0.9982907005799578

  73. 6

    {18, 84, 2, 91, 1, 28, 22, 19, 56, 25, 6, 71, 1, 2, 3, 7, 51, 10, 3, 28, 1, 2, 52, 6, 57, 2, 35, 2, 4, 11, 2, 3, 1, 4, 14}

    {94, 4, 3, 6, 2, 29, 7, 24, 25, 2, 14, 21, 23, 83, 4, 33, 3, 3, 59, 16, 5, 11, 10, 1, 19, 18, 24, 3, 74, 4, 6, 24, 14, 16, 10}

    Returns: 0.8901188245543715

  74. 7

    {33, 2, 13, 6, 37, 2, 1, 2, 47, 62, 1, 4, 14, 28, 4, 3, 16, 39, 1, 40, 3, 6, 8, 1, 93, 5, 1, 25, 60, 54, 4, 7, 2, 13, 1, 54, 1, 1, 10, 3}

    {29, 93, 40, 13, 4, 7, 6, 5, 9, 17, 20, 43, 11, 21, 5, 10, 37, 9, 21, 19, 46, 5, 31, 10, 2, 66, 14, 22, 28, 68, 1, 3, 26, 27, 3, 10, 12, 4, 27, 6}

    Returns: 0.6956719635589852

  75. 6

    {13, 7, 34, 6, 5, 13, 1, 34, 1, 3, 21, 22, 24, 3, 84, 4, 58, 72, 13, 1, 2, 32, 2, 16, 3, 3, 14, 9, 3, 13, 11, 24, 53, 16, 1}

    {98, 1, 19, 9, 1, 74, 51, 8, 2, 27, 8, 4, 1, 84, 8, 1, 24, 13, 30, 35, 2, 24, 1, 30, 37, 28, 47, 3, 43, 5, 12, 8, 1, 97, 16}

    Returns: 0.7245017589545564

  76. 6

    {11, 51, 68, 18, 26, 11, 7, 4, 44, 4, 43, 55, 27, 7, 29, 20, 9, 91, 20, 61, 1, 7, 76, 14, 50, 23, 2, 3, 37, 1, 1, 12, 77, 27, 52}

    {10, 21, 5, 81, 18, 21, 1, 1, 25, 2, 33, 24, 1, 40, 57, 4, 44, 34, 1, 77, 29, 25, 3, 11, 2, 7, 15, 1, 10, 2, 23, 15, 43, 52, 2}

    Returns: 0.9893852452929537

  77. 7

    {6, 14, 1, 3, 3, 2, 5, 28, 1, 19, 3, 24, 91, 25, 34, 1, 7, 15, 1, 7, 5, 7, 1, 13, 17, 7, 15, 3, 4, 1, 6, 1, 38, 65, 63, 14, 1, 1, 5, 44}

    {59, 55, 30, 13, 5, 1, 27, 30, 1, 2, 5, 24, 8, 53, 31, 7, 63, 78, 4, 27, 15, 69, 28, 2, 59, 18, 3, 2, 3, 89, 70, 2, 33, 2, 48, 33, 14, 23, 24, 7}

    Returns: 0.9611707916328189

  78. 4

    {7, 2, 2, 1, 2, 3, 6, 56, 5, 28, 8, 3, 68, 3, 99, 3, 16, 4, 5, 38, 94, 93, 6, 20, 17}

    {11, 51, 20, 5, 5, 10, 3, 90, 42, 2, 23, 74, 4, 1, 63, 24, 22, 1, 2, 1, 96, 1, 1, 41, 30}

    Returns: 0.9999677702431885

  79. 7

    {7, 11, 61, 5, 21, 1, 1, 23, 39, 31, 2, 2, 30, 54, 72, 95, 5, 2, 14, 1, 15, 1, 17, 19, 3, 1, 1, 6, 3, 5, 40, 52, 2, 22, 82, 3, 7, 3, 52, 15}

    {2, 1, 52, 16, 18, 6, 3, 1, 1, 47, 27, 15, 15, 1, 28, 1, 12, 6, 1, 24, 6, 11, 30, 1, 4, 82, 3, 2, 3, 30, 1, 20, 42, 4, 2, 1, 21, 13, 6, 4}

    Returns: 0.9999422727311462

  80. 7

    {5, 37, 7, 26, 22, 30, 88, 10, 2, 28, 10, 1, 76, 4, 8, 2, 55, 1, 1, 1, 10, 9, 31, 21, 9, 7, 1, 48, 82, 18, 29, 4, 51, 3, 16, 7, 3, 2, 98, 8}

    {1, 4, 2, 3, 88, 2, 2, 1, 80, 7, 64, 16, 1, 1, 11, 11, 1, 8, 1, 18, 3, 7, 3, 74, 6, 28, 1, 57, 10, 88, 1, 3, 11, 8, 19, 4, 10, 23, 21, 25}

    Returns: 0.9354810484994452

  81. 6

    {1, 83, 7, 1, 28, 55, 43, 60, 9, 3, 25, 1, 1, 58, 2, 99, 19, 1, 41, 7, 35, 6, 33, 14, 8, 10, 1, 5, 2, 3, 1, 9, 38, 4, 4}

    {53, 3, 7, 28, 14, 17, 72, 67, 58, 1, 15, 16, 2, 29, 16, 5, 1, 2, 10, 5, 44, 55, 17, 6, 7, 77, 31, 6, 1, 1, 53, 42, 5, 8, 15}

    Returns: 0.948734398695497

  82. 6

    {2, 1, 12, 42, 9, 1, 7, 30, 1, 5, 87, 1, 22, 4, 26, 5, 23, 28, 11, 93, 13, 1, 2, 2, 15, 4, 17, 3, 49, 1, 6, 8, 4, 32, 7}

    {7, 3, 1, 1, 16, 2, 15, 49, 1, 3, 2, 3, 45, 2, 1, 43, 4, 1, 4, 3, 2, 2, 4, 21, 99, 1, 24, 1, 28, 8, 95, 1, 77, 3, 7}

    Returns: 0.9338057871712098

  83. 7

    {4, 1, 21, 9, 14, 1, 36, 13, 6, 3, 28, 25, 73, 30, 46, 3, 2, 6, 52, 1, 62, 1, 58, 12, 3, 4, 33, 1, 17, 1, 1, 96, 6, 74, 1, 88, 40, 5, 3, 22}

    {56, 52, 13, 48, 1, 1, 1, 4, 1, 2, 1, 99, 5, 3, 11, 9, 2, 4, 15, 1, 1, 63, 3, 10, 2, 24, 11, 1, 1, 4, 13, 1, 4, 2, 35, 24, 3, 1, 29, 15}

    Returns: 0.9999451798793757

  84. 6

    {47, 42, 69, 44, 38, 4, 13, 1, 1, 26, 1, 3, 7, 1, 48, 94, 2, 3, 28, 50, 3, 6, 21, 10, 87, 56, 8, 11, 34, 60, 6, 19, 54, 2, 1}

    {70, 64, 58, 31, 1, 4, 13, 98, 2, 66, 89, 58, 33, 8, 4, 8, 42, 3, 2, 11, 2, 2, 44, 1, 18, 25, 8, 28, 2, 14, 2, 69, 8, 1, 30}

    Returns: 0.8702752047541069

  85. 4

    {26, 3, 3, 35, 42, 3, 15, 51, 1, 1, 96, 6, 18, 6, 13, 4, 3, 19, 1, 5, 1, 31, 15, 46, 66}

    {55, 28, 74, 7, 51, 21, 85, 4, 68, 4, 6, 1, 22, 6, 3, 2, 87, 1, 48, 85, 1, 5, 12, 65, 3}

    Returns: 0.9889578234628548

  86. 4

    {99, 99, 99, 99, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10, 1, 1, 1, 1, 10 }

    {20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20, 99, 99, 99, 99, 99, 20 }

    Returns: 3.812459259291132E-5

  87. 7

    {12, 24, 50, 60, 94, 23, 32, 59, 51, 56, 32, 35, 29, 81, 25, 74, 12, 13, 14, 52, 53, 54, 55, 56, 95, 10, 2, 4, 19, 82, 82, 84, 17, 29, 91, 93, 4, 38, 29, 19 }

    {59, 29, 35, 19, 20, 60, 80, 50, 22, 45, 75, 23, 45, 13, 54, 23, 29, 59, 79, 89, 25, 35, 10, 3, 93, 2, 40, 50, 34, 82, 47, 88, 49, 72, 48, 83, 9, 10, 32, 81 }

    Returns: 0.9895442305325381

  88. 7

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

    {99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99 }

    Returns: 3.011523858729556E-16

  89. 7

    {42, 13, 17, 42, 42, 11, 55, 8, 15, 16, 17, 18, 19, 20, 21, 13, 22, 23, 24, 15, 25, 26, 27, 42, 81, 19, 33, 51, 81, 14, 1, 17, 22, 33, 44, 55, 66, 77, 88, 55 }

    {22, 17, 72, 19, 3, 7, 99, 51, 17, 23, 41, 5, 63, 51, 30, 11, 5, 5, 5, 5, 99, 5, 5, 30, 31, 44, 20, 10, 3, 9, 18, 20, 47, 51, 8, 9, 10, 11, 12, 42 }

    Returns: 0.9474856946105127

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