Statistics

Problem Statement for "Resistance"

Problem Statement

The Resistance is a multiplayer board game. During the game each player belongs into one of two groups: some are resistance members, others are spies. In this problem there are P players, and exactly S of them are spies. The players are numbered 0 through P-1.


The game is played in rounds. In each round of the game a subset of all players goes on a mission. Each player who goes on the mission casts a secret vote on whether they want it to succeed or to fail. Resistance members always vote for the mission to succeed, and spies may cast either vote. (Sometimes a spy will vote for a mission to succeed in order to gain trust of the other players.) If at least one player on a mission voted for it to fail, the mission fails. If everybody voted for the mission to succeed, it succeeds.


You are given the ints P and S. You are also given the String[] missions: data on all the missions that already took place. Each mission is described by a String. The first character of that string is 'F' for a failed mission or 'S' for a successful one. The next P characters describe which players went on the mission: for each valid i, character (i+1) is '1' if player i went on the misson and '0' otherwise.


Verify whether the mission history is valid. If there is no assignment of roles (spies / resistance members) to players that would be consistent with the given mission history, return an empty double[].


If the mission history is valid, assume that each of the matching assignments of roles to players is equally likely. Return a double[] containing P elements. For each i, the i-th element of the return value should be the probability that player i is a spy, given the above assumption.

Definition

Class:
Resistance
Method:
spyProbability
Parameters:
int, int, String[]
Returns:
double[]
Method signature:
double[] spyProbability(int P, int S, String[] missions)
(be sure your method is public)

Notes

  • Each element of your return value must have an absolute or a relative error smaller than 1e-9.

Constraints

  • P will be between 3 and 10, inclusive.
  • S will be between 1 and P, inclusive.
  • missions will contain between 1 and 50 elements, inclusive.
  • Each element of missions will contain exactly P+1 characters.
  • For each element of missions, its first character will be 'S' or 'F', and the rest of the characters will be '0' or '1'.
  • Each element of missions will contain at least one '1' character.

Examples

  1. 4

    1

    {"S0110", "F1100", "S0011"}

    Returns: {0.5, 0.5, 0.0, 0.0 }

    There is only one spy. Players 2 and 3 cannot be the spy because neither of them went on the failed mission. Players 0 and 1 can be spies. As both scenarios are valid, each of these two players is a spy with probability 50%.

  2. 4

    2

    {"F0100", "S0101", "F1010", "S1011"}

    Returns: {0.5, 1.0, 0.5, 0.0 }

    Now we have two spies. Only one player went to the first failed mission, so we can be certain that player 1 is a spy. Based on the second failed mission, one of players 0 and 2 must be a spy. Both possibilities match the rest of the input, so we assign each of them probability 50% of being a spy. Note that player 1 (a known spy) once voted for a success of a mission.

  3. 3

    1

    {"F110", "F101", "F011"}

    Returns: { }

    There is supposed to be only one spy, but no player went on all three failed missions, so the mission history is invalid.

  4. 5

    2

    {"F11000", "S00011", "F10100", "S01111"}

    Returns: {0.8, 0.4, 0.4, 0.2, 0.2 }

    One possibility is that the spies are players 1 and 2. Another possibility is that one of the spies is player 0 and the other spy can be any of the other four players.

  5. 9

    3

    {"S100001100", "F011110000", "F001000010", "F100010101", "S010010001", "F100001010", "F000100100"}

    Returns: {0.3, 0.1, 0.4, 0.5, 0.2, 0.1, 0.6, 0.7, 0.1 }

  6. 3

    1

    {"F100", "F010", "S001"}

    Returns: { }

    Min test with -1 answer

  7. 3

    1

    {"S110", "S011", "F101"}

    Returns: {0.5, 0.0, 0.5 }

    Min test with possible assignments

  8. 10

    1

    {"F1111111111", "S1111111111"}

    Returns: {0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1 }

    Everybody has equal probability of being a spy (+ identical missions can have different outcomes)

  9. 10

    1

    {"S1111100000", "S0000011111"}

    Returns: {0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1 }

    No failed missions but somebody has to be a spy

  10. 10

    10

    {"S1111100000", "F0000011111"}

    Returns: {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }

    Everybody is a spy!

  11. 10

    5

    {"F1111100111", "S1001110100", "S0101001100", "F1101110110", "S1101111111", "S1011111111", "F1011100101", "F0010101010", "F1110001101", "F0010000101", "F1111001000", "S0010111011", "F0100000101", "F1001100110", "S0011110000", "F0000010110", "F1111110100", "F1011001101", "S0001010011", "F1010010010", "F0110000110", "S1101100001", "F0101010010", "S0110100001", "S0010111001", "F0001001011", "S0010010100", "F1111011111", "S1111010110", "S0111111011", "S0011101010", "S0011010100", "F0111110000", "F1111010110", "S0011000100", "F0111110111", "F0110101011", "F0101111101", "F1111100001", "S1111010111", "F1011101100", "F1111010111", "F0101110001", "F1000110010", "S0111100100", "F0110100101", "S0111010000", "S0010001101", "F1101110100", "F1000001101"}

    Returns: {0.4339622641509434, 0.4716981132075472, 0.49056603773584906, 0.44025157232704404, 0.4276729559748428, 0.5157232704402516, 0.44654088050314467, 0.6226415094339622, 0.5974842767295597, 0.5534591194968553 }

    Max missions count

  12. 10

    5

    {"S1111010111", "S0010000001", "S0111010100", "S1101100101", "S1000100100", "S0010101111", "S0110000010", "S1011001111", "S1001011110", "S1110110111", "S0101001010", "S1101001100", "S1111100110", "S0110011110", "S0110011101", "S1000110100", "S1010100011", "S0100011100", "S0000011101", "S1010000000", "S0110111000", "S0000001110", "S0000100111", "S1101110111", "S1011001011", "S0010000001", "S1101000110", "S0001101001", "S1011011111", "S0111011100", "S1001011110", "S0101010100", "S1010111000", "S0100001001", "S0000001011", "S0001011001", "S0010111011", "S1111011101", "S1011000100", "S0011001100", "S0000101111", "S0001101011", "S0111101010", "S0000010100", "S1001001100", "S1010000100", "S1101101011", "S0000100010", "S0010110101", "S1001111011"}

    Returns: {0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 }

    Max number of missions + max number of valid assignments

  13. 10

    5

    { "F0100111111", "F0011111111", "F0001101110", "F1001000111", "S1101110100", "F1010111101", "F1000100001", "F0101110000", "F1010110100", "F1001111111", "F1011001111", "S0100001110", "F1011110000", "F1111100011", "F0000110010", "F1100111111", "S1110110100", "F1111011111", "F1110101111", "S0100111101", "F1110010111", "F0100011001", "F1101110111", "F1110111000", "F0110111011", "F1110011110", "F1000111100", "F1001111110", "F1010111001", "S1111110111", "F0100000110", "F1010111111", "F1100010011", "F0111111111", "S1001100111", "F0011111110", "F1111011011"}

    Returns: {0.5, 0.5287356321839081, 0.40229885057471265, 0.43103448275862066, 0.5977011494252874, 0.5402298850574713, 0.43103448275862066, 0.4942528735632184, 0.5632183908045977, 0.5114942528735632 }

  14. 8

    4

    { "F10111110", "S11110111", "F01110010", "F11100110", "F11111110", "F01111011", "F11110110", "F11101110", "S11111101", "F11001110", "S11011110", "F10111111", "F11111011", "F10111111", "F10110111", "S11111111", "S11111111", "F11011011", "F11111100", "F10111011", "S01111111", "F01111111", "F11111101", "F00111110", "S11110111", "F10111111", "S11110111", "F10101011", "F11011111", "F11111100", "F01001111", "F11111110", "F10111110", "F10101111", "F11111101", "F11101011", "S01111111", "F10101010"}

    Returns: {0.5, 0.5, 0.5147058823529411, 0.5, 0.5, 0.4852941176470588, 0.5147058823529411, 0.4852941176470588 }

  15. 8

    2

    { "F11000011", "F11100010", "S00010100", "F01110111", "F00100011", "S00110101", "F11011100", "S01000000", "F01000111", "S01011000", "S10001001", "S01011000", "F01001101", "S11011101", "S11111001", "F11110001", "S10001101", "F01011001", "F01011111", "F11010011", "F11010010", "F00011111", "F01110110", "F10000000", "F01111001", "S01111001", "S11001101", "S01111011", "S11011010", "S01011011", "S00000110", "S11101110", "S01111100", "F11001101", "S11110110", "F11010111", "S10010000", "F00010010"}

    Returns: { }

  16. 9

    5

    { "S110101100", "S110001001", "F011001010", "F010010011", "F010000101", "F100001011", "F100100011", "F000010000", "F101110011", "S001001011", "F001010100", "S100010011", "F011011110", "F001111101", "F100111101", "S101100010", "F111000000", "F101110101", "S011111100", "F111100101", "F001101011", "S110000100", "F011000111", "F100000011", "F000001000", "F110111110", "F000101111", "F110010011", "F110011000", "F001110010", "S110110110", "F110010000", "F110100011", "F100101100", "S111110100", "F000110000", "S011000111", "F011011000"}

    Returns: {0.5217391304347826, 0.5217391304347826, 0.391304347826087, 0.2608695652173913, 1.0, 1.0, 0.391304347826087, 0.391304347826087, 0.5217391304347826 }

  17. 7

    6

    { "S1010100", "F1000101", "S0111111", "S1100011", "F1010111", "S1111111", "S1010110", "F1011101", "F0101011", "S1001111", "S1001111", "S1110111", "S1100100", "F1011101", "S1110111", "S1111110", "F1011111", "F1111011", "S1110001", "S1001010", "S1101111", "F1010000", "F1111100", "F1111101", "S1011010", "F0110111", "S0011110", "F1001101", "S0111110", "F1001111", "F0010000", "F0100101", "S1110010", "S1001011", "F1110101", "F0111111", "F0110101", "S1010101", "S1001100", "F1111010", "F1111001", "S0000110"}

    Returns: {0.8333333333333334, 0.8333333333333334, 1.0, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334 }

  18. 5

    2

    { "F00110", "S00100", "F10010"}

    Returns: {0.4, 0.2, 0.4, 0.8, 0.2 }

  19. 6

    5

    { "F011101", "F110100", "F000100", "F000001", "S000010", "F100100", "S001000", "F001010", "S000010", "S100000"}

    Returns: {0.75, 0.75, 0.75, 1.0, 0.75, 1.0 }

  20. 8

    4

    { "F11111111", "F11111111", "F11101100", "F11111111", "F01011111", "S11111111", "S11111111", "S11111111", "S11111011", "S10101111", "S11111111", "F11111111", "F11110111", "S11111111", "S11111110", "F11111110"}

    Returns: {0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 }

  21. 7

    3

    { "F1111111", "F1111100", "F1011111", "F0010101", "F1111110", "F0010110", "F0010000", "F0101111", "F1001110", "F1110111", "F0001011", "F0111101", "F1110111", "F1000011", "F1101010", "F1111011", "F1111001", "F1011011", "F1000011", "F0000011", "F1110001", "F1111111", "F1010111"}

    Returns: {0.2857142857142857, 0.14285714285714285, 1.0, 0.2857142857142857, 0.14285714285714285, 0.7142857142857143, 0.42857142857142855 }

  22. 10

    7

    { "S1111101111", "F1100111101", "F0011111111", "S1011111111", "F1110110111", "F1111111111", "S0111110110", "F1100111111", "S0111101110", "F1111111110", "S1111010111"}

    Returns: {0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7 }

  23. 4

    3

    { "S1111", "F0110", "F0010", "F1110", "F1110", "F0100", "F1010", "F1110", "F1011", "F0111", "F1111", "F1011", "F1101", "F0011", "F0001", "F1110", "F1010", "F1111", "F1111", "F1110", "F1110", "F1101", "F1101", "F0111", "F1111", "F1111", "F1111", "F1110", "F0110", "F1111", "F0101", "F1101", "F1110", "S1001", "F1101", "F0111", "F1111", "F1111", "F0011", "F0111", "F1111", "F1101", "F1111", "F0110"}

    Returns: {0.0, 1.0, 1.0, 1.0 }

  24. 5

    3

    { "F11111", "F11010", "S01111", "F01111", "F11101", "S01101", "F00111", "F00011"}

    Returns: {0.5555555555555556, 0.5555555555555556, 0.5555555555555556, 0.6666666666666666, 0.6666666666666666 }

  25. 6

    5

    { "F010101", "F101100", "F111101", "S111000", "F101000", "F111011", "F001011", "S110001", "F111111", "F111111", "F111011", "F101010", "F101011", "F110100", "F101101", "F010011", "F111111", "S101111", "F101010", "S110010", "S110100", "S100001", "F111011", "F101111", "F111001", "F001010", "F010101", "S110111", "F111001", "S010111", "F101000", "F000011", "S011100", "S001111", "F001001", "F011111", "F111111", "S111011", "F101100", "F111111", "F100110", "S010110", "S110001", "F111111"}

    Returns: {0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334 }

  26. 5

    3

    { "F10100"}

    Returns: {0.6666666666666666, 0.5555555555555556, 0.6666666666666666, 0.5555555555555556, 0.5555555555555556 }

  27. 6

    4

    { "F110000", "F110010"}

    Returns: {0.7142857142857143, 0.7142857142857143, 0.6428571428571429, 0.6428571428571429, 0.6428571428571429, 0.6428571428571429 }

  28. 9

    6

    { "F110001111", "F100000010", "F000101011", "F101000010", "F010100110", "F011101001", "F110011101", "F010001000", "F101001001", "F001001110", "F001001110", "F000000001", "F001001010", "F010000000", "F010000100", "F000010010", "F110011110", "F110001001", "F000101100", "F000110011", "F001100011", "F000000001", "F011111110", "F110000110", "F010001001", "F000000001", "F000001001"}

    Returns: {0.5833333333333334, 1.0, 0.5, 0.5, 0.5833333333333334, 0.5416666666666666, 0.5, 0.7916666666666666, 1.0 }

  29. 9

    4

    { "F111111110", "S111111100", "F111111111", "F111111010", "F111111111", "F001110011", "F110111111", "F111111011"}

    Returns: {0.44, 0.44, 0.448, 0.448, 0.448, 0.44, 0.44, 0.448, 0.448 }

  30. 7

    3

    { "S0010111", "F1010111", "F1111100", "F1010111", "S1111100", "F1111011", "S0010111", "S1000100", "F1101011", "F1111111", "F0010111", "F1100001", "S0111111", "F0000111", "F0001111", "S1111101", "F1110111", "F1111110"}

    Returns: {0.4444444444444444, 0.4444444444444444, 0.3333333333333333, 0.3333333333333333, 0.4444444444444444, 0.4444444444444444, 0.5555555555555556 }

  31. 6

    5

    { "F111111", "F101011"}

    Returns: {0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334 }

  32. 9

    7

    { "F001101110", "F111101101", "S011001111", "F110100110", "F010010000", "F100100101", "F011011100", "F101100010", "S000011100", "F101100111"}

    Returns: {0.7714285714285715, 0.8, 0.7714285714285715, 0.7714285714285715, 0.8, 0.7714285714285715, 0.7714285714285715, 0.7714285714285715, 0.7714285714285715 }

  33. 7

    3

    { "F0110010", "F0111100", "F0111100", "F0011111", "F1100000", "F1000000", "F1010001", "F1000011", "F0011101", "F0100111", "F0010010", "F0110001", "F0100100", "S1110000", "F0111011", "F0011110", "S1100001", "F0110011", "F0100001", "F0110111", "F1000001", "F1111010", "F0001000", "F1001011", "F0000010", "F0110100"}

    Returns: { }

  34. 10

    5

    { "S1111110011", "S0101100011", "S1100101100"}

    Returns: {0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 }

  35. 8

    4

    { "F10101101", "F00110001", "S10001011", "S01111001", "F01000011", "F10110111", "F11101100", "F11111101", "S11000110", "F10011010", "F00111110", "S11100000", "F01110010", "F11000010", "F11001100", "F00101011", "F00110100", "F10100010", "S10101101", "F01001110", "S11011010", "F10111101", "F11101011", "F10111111", "F10010000", "S00001110", "S10000111", "F11001011", "F00111100", "F10111000", "S01000001", "F01010111", "F10111100", "F00010100", "S11110010", "F00100000", "S10100111", "F10100001", "F11011111"}

    Returns: {0.45454545454545453, 0.5454545454545454, 1.0, 0.7272727272727273, 0.18181818181818182, 0.45454545454545453, 0.45454545454545453, 0.18181818181818182 }

  36. 8

    4

    { "F10101101", "S10000011", "S11110111", "S10111110", "F01100110", "F11111011", "F11101011", "F01001000", "F10001001", "S11100110", "S01011101", "S00100110", "F01100100", "S10010100", "F11100010", "S00010111", "F00110111", "F00000111", "S11111110", "S01011111", "F00111111", "F10100110", "F01011110", "S00110100", "F01110011", "F11111101", "S00100111", "F01000101", "S11110101", "S11001011", "F11100111", "S00000100", "F00111111", "S00100001", "S01000010", "F11101100", "F01100101", "S10001001", "F00011110", "F01101111", "F00000101", "F00101111"}

    Returns: {0.40625, 0.625, 0.40625, 0.3125, 0.625, 0.65625, 0.375, 0.59375 }

  37. 7

    6

    { "F1001000", "S1101101", "S1101111", "S1001011", "F1000111", "F0011111", "F1011110", "S0101001", "S1111001", "F1101101", "F1010000", "S0101111", "S0110011", "S1110101", "F0001101", "F1001101", "S0010101", "F1101001", "S0010000", "S0111100", "F1011010", "S1000110", "S0001000", "F1101110", "F1110010", "S1111100", "F0101101", "F0001001", "S1011111", "F1000011", "S1101011", "S1111011", "F0110001", "S0111001", "S0001011", "F0101101", "S1111001", "S1111110", "F1001101", "S1101100", "S0100001", "S0001110", "F0000001", "S1000101"}

    Returns: {0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 0.8333333333333334, 1.0 }

  38. 8

    3

    { "F01111100", "S00101111", "F01001001", "S11100010", "F00000110", "F00111011", "F11010100", "F00000110", "F00001110", "F00110001", "S11001001", "S00110000", "S01100010", "S10110110", "S00010010", "S00011001", "S11011111", "S01100000", "F00100000", "S01001000", "S11001110", "F10110100", "S00000010", "S10000000", "F00000010", "F10001000", "F10000000", "F01001001", "F01010000", "S11100000", "F00100101", "F01010001", "S00111110", "S10000101"}

    Returns: { }

  39. 7

    6

    { "F1001111", "F1111110", "F1000001"}

    Returns: {0.8571428571428571, 0.8571428571428571, 0.8571428571428571, 0.8571428571428571, 0.8571428571428571, 0.8571428571428571, 0.8571428571428571 }

  40. 6

    4

    { "F011110", "F100110", "F101111", "F011001", "F111001", "F000101", "F010111", "F100101", "F001001", "F111010", "F001111"}

    Returns: {0.6153846153846154, 0.6153846153846154, 0.6923076923076923, 0.6923076923076923, 0.6153846153846154, 0.7692307692307693 }

  41. 7

    4

    { "F0100010", "F0100010", "S1000110", "F0000011", "F1001000", "S0000111", "S0100010", "S0010001", "S0100000", "S0000110", "F1010001"}

    Returns: {0.65, 0.55, 0.45, 0.6, 0.4, 0.75, 0.6 }

  42. 10

    6

    { "S1000111000", "S0110101111", "F0001100010", "S1110011011", "S0001011010", "F0000011010", "S0101111111", "S1111101110", "S0000001010", "S0010001111", "F1110110111", "S1000010110", "F0010011010", "S1110011101", "S0001000000", "S1111101000", "S1111000110", "S0000000111", "F1101011100", "F1110100010", "S1101011111", "F0100001100", "S0101011101", "F1011001110", "F1000101000", "S0001011110", "F0010001101", "F1101011001", "F1010000111", "S1000101001", "S0010011111", "F0111000110", "S0111110001", "S1111001010", "S1010100010", "F0110010101"}

    Returns: {0.5911602209944752, 0.5911602209944752, 0.56353591160221, 0.5911602209944752, 0.6243093922651933, 0.5911602209944752, 0.6629834254143646, 0.5966850828729282, 0.6243093922651933, 0.56353591160221 }

  43. 6

    5

    { "S000110", "S000010", "F101111", "S100100", "F001011", "S010000", "S100000", "F010101", "S000100", "F001011", "S111000", "F010011", "F010000", "S100100"}

    Returns: {0.8, 1.0, 0.8, 0.8, 0.8, 0.8 }

  44. 5

    3

    { "S10110", "S11011", "S11001", "F00011", "F01111", "S11100", "S10111", "F00100", "S10111", "F10111", "S10010", "F11101", "F11110", "S11011", "F11101", "S01111", "S10100", "F11111", "F11101", "S10101"}

    Returns: {0.4, 0.4, 1.0, 0.6, 0.6 }

  45. 7

    3

    { "F0100111", "F0110110", "F1010101", "F1111111", "F1011111", "F0101001", "F1110111", "F1000100", "F0100101", "F1110011", "F1100001", "F1010110", "F1101011", "F1101101", "F0111101", "F1111100", "F0111000", "F0011010", "F1101101", "F1010110", "F1011111", "S1100110", "F1011001", "F1100110", "F0111101", "F0111001", "F1000001", "F0011000", "F0101110", "F0111111", "F1101110", "F1111110", "F1001111", "F1011110", "F0110101", "F1011101", "F1111111"}

    Returns: {0.6, 0.4, 0.4, 0.6, 0.6, 0.0, 0.4 }

  46. 9

    7

    { "F111011011", "F000100111", "S000011110", "F001011000", "S011101110", "S111000010"}

    Returns: {0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778, 0.7777777777777778 }

  47. 7

    5

    { "F0100100", "F0001011", "F0000011"}

    Returns: {0.6842105263157895, 0.7368421052631579, 0.6842105263157895, 0.6842105263157895, 0.7368421052631579, 0.7368421052631579, 0.7368421052631579 }

  48. 10

    7

    { "F1001110101", "F0101111010", "F0000011011", "F0111011101", "F1010101111", "F1000101000", "F0011111100", "F1111101100", "F0100111000", "F1010011110"}

    Returns: {0.7058823529411765, 0.6974789915966386, 0.6974789915966386, 0.6974789915966386, 0.7058823529411765, 0.6974789915966386, 0.7058823529411765, 0.6974789915966386, 0.6974789915966386, 0.6974789915966386 }

  49. 7

    2

    { "F1100010", "F0101010", "F0110110", "F1001001", "F0111011", "F0000100", "F1100011", "F1100001", "F1011001"}

    Returns: { }

  50. 7

    2

    { "F1100110", "S0010000", "F0011100", "F1011010", "F0001001", "F1100010"}

    Returns: {0.3333333333333333, 0.3333333333333333, 0.0, 1.0, 0.0, 0.3333333333333333, 0.0 }

  51. 8

    2

    { "F01111100", "F00001010", "F01100101", "F10000000", "F01011111", "F00110000", "F10101111", "F11011011", "S11101011"}

    Returns: { }

  52. 8

    4

    { "S10101011", "S01010111", "S10110110", "F10100111", "F10010010", "S10110111", "F11001111", "F00000001"}

    Returns: {0.4838709677419355, 0.3870967741935484, 0.3870967741935484, 0.4838709677419355, 0.3870967741935484, 0.3870967741935484, 0.4838709677419355, 1.0 }

  53. 5

    4

    { "F01111", "F11011", "F00101", "S11010", "F11111"}

    Returns: {0.8, 0.8, 0.8, 0.8, 0.8 }

  54. 8

    5

    { "F00100000", "F01001011", "S01001111", "S00100111", "F00100110", "F00110000", "F00011101"}

    Returns: {0.5714285714285714, 0.5714285714285714, 1.0, 0.5714285714285714, 0.5714285714285714, 0.5714285714285714, 0.5714285714285714, 0.5714285714285714 }

  55. 4

    1

    {"S0110", "F1100", "S0011" }

    Returns: {0.5, 0.5, 0.0, 0.0 }

  56. 3

    3

    {"S111" }

    Returns: {1.0, 1.0, 1.0 }

  57. 4

    2

    {"F0100", "S0101", "F1010", "S1011" }

    Returns: {0.5, 1.0, 0.5, 0.0 }

  58. 7

    1

    {"F1111111" }

    Returns: {0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285 }

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