Statistics

Problem Statement for "EscapeArtist"

Problem Statement

You're trapped inside a facility that contains several rooms connected by corridors. You're currently located in room start and you wish to reach the finish using the least amount of time as possible. Each corridor takes one second to travel through.

Your task is complicated by the fact that there are several agents located in various rooms. These agents wish to capture you, but each one has a particular destination, as they each have different intelligence suggesting that you will head towards their destination. Like yourself, these agents will also reach their target room in the least possible amount of time. The agents begin moving at the same time as you do. If there are multiple shortest paths that an agent may use, you may assume each such path is equally likely as his choice. Once an agent reaches his goal, he will stay there indefinitely. Note that while you are aware of each agent's start and target rooms, you will be unaware of the agent's movements as you move through the facility.

As you wish to dodge capture as well as reach the exit as quickly as possible, you will use the following strategy. Each second you choose the way which allows you to reach the exit as quickly as possible (see example 6 for clarification). If there are multiple ways to do so, you choose the corridor that minimizes the probability of being captured from that point on. As soon as you reach the exit room, you leave the facility and cannot be captured. However, you may be captured the moment that you reach the exit room (see example 7).

There are two ways that you can be captured by an agent.
1) You travel through a corridor at the same time an agent does (you can be traversing the corridor in either the same direction or the opposite direction).
2) You're in a room at the same time as an agent.

The facility is described by a String[] corridors. The jth character of the ith element of corridors will be a '1' if there is a corridor between rooms i and j, and '0' otherwise. Each element of agentStart and agentTarget represents the start and target rooms, respectively, of an agent.

Given this information, return the probability that you will be captured by an agent if you follow the described strategy.

Definition

Class:
EscapeArtist
Method:
bestRoute
Parameters:
String[], int[], int[], int, int
Returns:
double
Method signature:
double bestRoute(String[] corridors, int[] agentStart, int[] agentTarget, int start, int finish)
(be sure your method is public)

Notes

  • The returned value must be accurate to within a relative or absolute value of 1E-9.

Constraints

  • corridors will contain between 2 and 25 elements, inclusive.
  • Each element of corridors will contain exactly N characters, where N is the number of elements in corridors.
  • Each character in corridors will be either a '0' (zero) or '1' (one).
  • The jth character of the ith element of corridors will be the same as the ith character of the jth element of corridors.
  • The ith character of the ith element of corridors will be '0'.
  • start and finish will each be between 0 and N-1, inclusive, where N is the number of elements in corridors.
  • start will be different from finish.
  • agentStart and agentTarget will each contain between 1 and 10 elements, inclusive.
  • agentStart and agentTarget will contain the same number of elements.
  • Each agent's starting room will be different from his target room.
  • No agent will start in the same room as you.
  • Each element of agentStart and agentTarget will be between 0 and N-1, inclusive, where N is the number of elements in corridors.
  • There will be at least one path between each pair of rooms in the facility.

Examples

  1. { "0100", "1011", "0100", "0100" }

    {3}

    {1}

    0

    2

    Returns: 1.0

    3 | | 0---1---2 The agent will always arrive at room 1 at the same time as you do, so there is no way to avoid capture.

  2. { "01000", "10110", "01000", "01001", "00010" }

    {4}

    {1}

    0

    2

    Returns: 0.0

    2 | | 0---1---3---4 You will reach room 1 before the agent does, so you will avoid capture.

  3. { "010000", "101011", "010111", "001000", "011000", "011000" }

    {4}

    {5}

    0

    3

    Returns: 0.5

    4 / \ 0--1---2--3 \ / 5 Your path must be 0-1-2-3. The agent is equally likely to take the paths 4-1-5 or 4-2-5. If he takes the first path, you will be captured in room 1. However, if he takes the second path, you will escape.

  4. { "010", "101", "010" }

    {2}

    {0}

    0

    2

    Returns: 1.0

  5. { "0010000000", "0010000100", "1101000000", "0010100000", "0001011000", "0000100001", "0000100000", "0100000010", "0000000101", "0000010010" }

    {1}

    {5}

    0

    6

    Returns: 0.5

  6. { "0010000000", "0010000100", "1101000000", "0010100000", "0001011000", "0000100001", "0000100000", "0100000010", "0000000101", "0000010010" }

    {2}

    {6}

    1

    7

    Returns: 0.0

    lovro 0

  7. { "010000", "101000", "010111", "001000", "001000", "001000" }

    {4}

    {5}

    0

    3

    Returns: 0.0

    lovro 1

  8. { "010000", "101011", "010100", "001000", "010000", "010000" }

    {4}

    {5}

    0

    3

    Returns: 1.0

    lovro 2

  9. { "010000", "101000", "010111", "001011", "001100", "001100" }

    {4}

    {5}

    0

    3

    Returns: 0.0

    lovro 3

  10. { "010000", "101011", "010111", "001011", "011100", "011100" }

    {4}

    {5}

    0

    3

    Returns: 0.33333333333333326

    lovro 4

  11. { "010000", "101011", "010111", "001011", "011100", "011100" }

    {4,4}

    {5,5}

    0

    3

    Returns: 0.5555555555555555

    lovro 5

  12. { "0100", "1010", "0101", "0010" }

    {3}

    {2}

    0

    2

    Returns: 1.0

    lovro 6

  13. { "010000", "101001", "010110", "001000", "001000", "010000" }

    {4}

    {5}

    0

    3

    Returns: 1.0

    5 4 | | | | 0---1---2---3 You will be travelling through the corridor between rooms 1 and 2 at the same time the agent travels through the same corridor in the opposite direction.

  14. { "000111", "001001", "010010", "100001", "101001", "110110" }

    {2}

    {3}

    0

    2

    Returns: 0.6666666666666666

  15. { "01100000000000000000", "10011000000000000000", "10011000000000000000", "01100110000000000000", "01100110000000000000", "00011001100000000000", "00011001100000000000", "00000110011000000000", "00000110011000000000", "00000001100110000000", "00000001100110000000", "00000000011001100000", "00000000011001100000", "00000000000110011000", "00000000000110011000", "00000000000001100110", "00000000000001100110", "00000000000000011001", "00000000000000011001", "00000000000000000110" }

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

    {18,18,18,18,18,18,18,18,18,18}

    0

    19

    Returns: 0.0

  16. { "0110", "1011", "1100", "0100" }

    {0}

    {2}

    2

    3

    Returns: 0.0

  17. { "00110000000000000000", "00110000000000000000", "11001100000000000000", "11001100000000000000", "00110011000000000000", "00110011000000000000", "00001100110000000000", "00001100110000000000", "00000011001100000000", "00000011001100000000", "00000000110011000000", "00000000110011000000", "00000000001100110000", "00000000001100110000", "00000000000011001100", "00000000000011001100", "00000000000000110011", "00000000000000110011", "00000000000000001100", "00000000000000001100" }

    {1}

    {18}

    0

    19

    Returns: 0.99609375

  18. { "00110000000000000000", "00110000000000000000", "11001100000000000000", "11001100000000000000", "00110011000000000000", "00110011000000000000", "00001100110000000000", "00001100110000000000", "00000011001100000000", "00000011001100000000", "00000000110011000000", "00000000110011000000", "00000000001100110000", "00000000001100110000", "00000000000011001100", "00000000000011001100", "00000000000000110011", "00000000000000110011", "00000000000000001100", "00000000000000001100" }

    {1,1}

    {18,18}

    0

    19

    Returns: 0.9999847412109375

  19. { "00110000000000000000", "00110000000000000000", "11001100000000000000", "11001100000000000000", "00110011000000000000", "00110011000000000000", "00001100110000000000", "00001100110000000000", "00000011001100000000", "00000011001100000000", "00000000110011000000", "00000000110011000000", "00000000001100110000", "00000000001100110000", "00000000000011001100", "00000000000011001100", "00000000000000110011", "00000000000000110011", "00000000000000001100", "00000000000000001100" }

    {1,1,1}

    {18,18,18}

    0

    19

    Returns: 0.9999999403953552

  20. {"01110000000000000000", "10001110000000000000", "10001110000000000000", "10001110000000000000", "01110001110000000000", "01110001110000000000", "01110001110000000000", "00001110001110000000", "00001110001110000000", "00001110001110000000", "00000001110001110000", "00000001110001110000", "00000001110001110000", "00000000001110001110", "00000000001110001110", "00000000001110001110", "00000000000001110001", "00000000000001110001", "00000000000001110001", "00000000000000001110" }

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

    {18,18,18,18,18,18,18,18,18,18}

    0

    19

    Returns: 0.0

  21. { "00011100000000000010", "00011110000000000010", "00011111000000000010", "11101111100000000000", "11110111110000000000", "11111011111000000000", "01111101111100000000", "00111110111110000000", "00011111011111000000", "00001111101111100000", "00000111110111110000", "00000011111011111000", "00000001111101111100", "00000000111110111110", "00000000011111011111", "00000000001111101111", "00000000000111110111", "00000000000011111001", "11100000000001111000", "00000000000000111100" }

    {0,0,0,0,0,0,0,0,0,0}

    {17,17,17,17,17,17,17,17,17,17}

    18

    19

    Returns: 0.0

  22. {"01","10"}

    {0}

    {1}

    1

    0

    Returns: 1.0

  23. {"010","101","010"}

    {0,0}

    {1,2}

    1

    2

    Returns: 0.0

  24. { "01100", "10011", "10010", "01100", "01000" }

    {4,3}

    {1,0}

    0

    3

    Returns: 0.5

    0 / \ 4---1 2 \ / 3 Here you can choose between two paths. If you take path 0-1-3, you will always be captured by the first agent at room 1. However, if you take path 0-2-3, there is a 50% chance that you will be captured in room 2, depending on which path the second agent takes.

  25. {"01110000000000000000", "10001110000000000000", "10001110000000000000", "10001110000000000000", "01110001110000000000", "01110001110000000000", "01110001110000000000", "00001110001110000000", "00001110001110000000", "00001110001110000000", "00000001110001110000", "00000001110001110000", "00000001110001110000", "00000000001110001110", "00000000001110001110", "00000000001110001110", "00000000000001110001", "00000000000001110001", "00000000000001110001", "00000000000000001110" }

    {19,19,19,19,19,19,19,19,19,19}

    {0,0,0,0,0,0,0,0,0,0}

    0

    19

    Returns: 0.6920538523425614

  26. { "000111000000000000000001", "000111000000000000000001", "000111000000000000000001", "111000111000000000000000", "111000111000000000000000", "111000111000000000000000", "000111000111000000000000", "000111000111000000000000", "000111000111000000000000", "000000111000111000000000", "000000111000111000000000", "000000111000111000000000", "000000000111000111000000", "000000000111000111000000", "000000000111000111000000", "000000000000111000110000", "000000000000111000110000", "000000000000111000110000", "000000000000000111001100", "000000000000000111001100", "000000000000000000110010", "000000000000000000110010", "000000000000000000001100", "111000000000000000000000" }

    {22,22,22,22,22,22,22,22,22,22}

    {23,23,23,23,23,23,23,23,23,23}

    23

    22

    Returns: 0.6920538523425614

  27. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {24,22,22,22,21,21,21,22,22,22}

    {23,0,1,2,0,1,2,3,4,5}

    23

    24

    Returns: 1.0

  28. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {23,23,23,23,22,21,22,22,22,21}

    {24,0,1,2,24,24,0,1,2,0}

    24

    23

    Returns: 0.945192201747492

  29. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {24,0,1,2,24,24,0,1,2,0}

    {23,23,23,23,22,21,22,22,22,21}

    23

    24

    Returns: 0.958894151310619

  30. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {23,23,23,23,23,23,23,23,23,23}

    {24,24,24,24,24,24,24,24,24,24}

    24

    23

    Returns: 0.6920538523425614

  31. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {24,24,24,24,24,24,24,24,24,24}

    {23,23,23,23,23,23,23,23,23,23}

    23

    24

    Returns: 0.6920538523425614

  32. {"010010", "101000", "010100", "001001", "100001", "000110"}

    {1, 4}

    {2, 5}

    3

    0

    Returns: 1.0

  33. {"010000", "101000", "010100", "001010", "000101", "000010"}

    {1}

    {5}

    0

    4

    Returns: 0.0

  34. {"010000", "101000", "010100", "001010", "000101", "000010"}

    {1}

    {5}

    0

    5

    Returns: 1.0

  35. {"0100001", "1010000", "0101011", "0010100", "0001010", "0010100", "1010000"}

    {3}

    {0}

    0

    4

    Returns: 0.5

  36. {"0100001000", "1010000000", "0101011000", "0010100000", "0001010101", "0010100000", "1010000000", "0000100010", "0000000101", "0000100010"}

    {2, 3, 8, 8, 8, 8}

    {0, 5, 2, 2, 2, 2}

    0

    8

    Returns: 0.96875

  37. { "0101101000000010", "1010000000000000", "0100010000100000", "1000000000000000", "1000000000000000", "0010000000000000", "1000000110001000", "0000001000000000", "0000001001010000", "0000000010000001", "0010000000000100", "0000000010000000", "0000001000000000", "0000000000100000", "1000000000000000", "0000000001000000" }

    {12,8}

    {5,1}

    10

    0

    Returns: 1.0

  38. { "010100", "101010", "010000", "100001", "010000", "000100" }

    {4,2,2,5}

    {5,5,3,4}

    0

    1

    Returns: 1.0

  39. { "011000", "100111", "100000", "010000", "010000", "010000" }

    {3,1,3,1}

    {1,4,4,3}

    5

    3

    Returns: 1.0

  40. { "011000000000000000", "100000000000010000", "100101000000000000", "001010110000001000", "000100001000000001", "001000000000000000", "000100000000000000", "000100000100000000", "000010000000000000", "000000010010000000", "000000000101100000", "000000000010000000", "000000000010000000", "010000000000000010", "000100000000000100", "000000000000001000", "000000000000010000", "000010000000000000" }

    {4,5}

    {5,7}

    3

    4

    Returns: 1.0

  41. { "011000011000", "100100000000", "100011000000", "010000100000", "001000000001", "001000000010", "000100000000", "100000000100", "100000000000", "000000010000", "000001000000", "000010000000" }

    {9,11,8,8,8,11,8,11}

    {5,3,7,5,7,8,6,9}

    1

    11

    Returns: 1.0

  42. { "01010011000100", "10100000001000", "01001000000000", "10000000000000", "00100100100010", "00001000000000", "10000000000000", "10000000010000", "00001000000000", "00000001000000", "01000000000000", "10000000000000", "00001000000001", "00000000000010" }

    {0,2,2,7,1}

    {13,10,8,9,3}

    13

    12

    Returns: 0.0

  43. { "01000000000000000", "10111011000000000", "01000000010000000", "01000100001000000", "01000000000000000", "00010000000000000", "01000000100000000", "01000000000000000", "00000010000001000", "00100000000100000", "00010000000010001", "00000000010000000", "00000000001000000", "00000000100000110", "00000000000001000", "00000000000001000", "00000000001000000" }

    {1,13,15,7,4,15}

    {16,4,6,11,2,6}

    6

    14

    Returns: 1.0

  44. { "0100001000000000", "1011110000000000", "0100000000100000", "0100000100000000", "0100000000000000", "0100000001001000", "1000000010000000", "0001000000000001", "0000001000010000", "0000010000000000", "0010000000000000", "0000000010000000", "0000010000000110", "0000000000001000", "0000000000001000", "0000000100000000" }

    {9,2,9,12,14,1,11}

    {1,4,15,7,3,3,6}

    0

    7

    Returns: 1.0

  45. { "01111000000011110", "10100001001010110", "11011100100110010", "10101110101001100", "10110111100101001", "00111010000101000", "00011100101100011", "01001000100110101", "00111011011001110", "00000000101010100", "01010010110001101", "00101111000011111", "11100001010101010", "10011100101110001", "11010001111100011", "11100010100110101", "00001011001101110" }

    {10,10,10,11,3,2,1,13}

    {3,7,0,0,13,16,12,4}

    12

    9

    Returns: 0.0

  46. { "01101110111100010", "10111111000010010", "11001010000001000", "01000010110011110", "11100000001100011", "11000010100101010", "11110100001010111", "01000000001001110", "10010100010000001", "10010000101110110", "10001011010101000", "10001100011001010", "01010010010000100", "00110101001100010", "00010011010010000", "11011111010101001", "00001010100000010" }

    {14,15,2,12}

    {0,13,4,7}

    4

    0

    Returns: 0.0

  47. { "01000010", "10110000", "01001000", "01000000", "00100101", "00001000", "10000000", "00001000" }

    {3,1,2}

    {4,3,7}

    4

    3

    Returns: 1.0

  48. { "0110010001010011", "1000100000000100", "1001110110010000", "0010000100001000", "0110001010000001", "1010000010000000", "0000100000100000", "0011000000000000", "0010110000100010", "1000000000100000", "0000001011000000", "1010000000000000", "0001000000000000", "0100000000000000", "1000000010000000", "1000100000000000" }

    {2,13,11,0,7,10,3,3}

    {13,9,2,7,15,14,10,4}

    5

    11

    Returns: 0.5

  49. { "0111010", "1010111", "1100000", "1000010", "0100011", "1101100", "0100100" }

    {4,4}

    {3,6}

    0

    4

    Returns: 0.0

  50. { "011111011100111", "101111101101000", "110100101111001", "111011000101000", "110101100101010", "110110010011101", "011010010110100", "100001101101011", "111000010101011", "111110111011000", "001001100100001", "011111011100110", "100001100001011", "100010011001101", "101001011010110" }

    {11,5,6,3,6,10}

    {14,11,7,8,10,2}

    7

    9

    Returns: 0.19999999999999996

  51. { "01010111110010", "10101010000001", "01001100000000", "10000101010000", "01100000110100", "10110001000011", "11000000101110", "10010100000010", "10001010000000", "10011000000000", "00000010000000", "00001010000000", "10000111000001", "01000100000010" }

    {0,6,4,8,1,9,12,6,12}

    {8,8,7,7,4,0,1,12,7}

    5

    8

    Returns: 1.0

  52. { "01011010101110", "10101010110101", "01011101001111", "10101001010001", "11110101000001", "00101000101011", "11000001000011", "00111010111011", "11000101000101", "01010001000111", "10100101000110", "11100000111010", "10100111011100", "01111111110000" }

    {12,13,0,7,6,10,12,11}

    {11,5,12,12,8,7,7,0}

    9

    2

    Returns: 0.0

  53. { "0110", "1011", "1100", "0100" }

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

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

    0

    3

    Returns: 1.0

  54. { "0100", "1010", "0101", "0010" }

    {3}

    {2}

    0

    3

    Returns: 1.0

    0--1--2--3 The agent reaches room 2 before you, but stays there indefinitely. You will then be captured as soon as you enter room 2.

  55. { "010100", "101010", "010010", "100001", "011000", "000100" }

    {5}

    {4}

    4

    1

    Returns: 0.0

  56. { "011010", "100011", "100100", "001001", "110001", "010110" }

    {1}

    {2}

    3

    5

    Returns: 0.0

  57. { "011110", "100111", "100011", "110011", "111100", "011100" }

    {3}

    {0}

    2

    3

    Returns: 0.0

  58. { "011001", "100001", "100110", "001000", "001000", "110000" }

    {2}

    {5}

    5

    1

    Returns: 0.0

  59. { "010101", "101011", "010000", "100010", "010100", "110000" }

    {4,3}

    {0,2}

    5

    3

    Returns: 0.75

  60. { "010001", "101010", "010110", "001000", "011001", "100010" }

    {3}

    {1}

    1

    2

    Returns: 1.0

  61. { "010000", "101000", "010110", "001000", "001001", "000010" }

    {0}

    {1}

    2

    3

    Returns: 0.0

  62. { "011000", "100100", "100001", "010010", "000100", "001000" }

    {1}

    {2}

    0

    5

    Returns: 0.0

  63. { "011111", "100100", "100001", "110001", "100000", "101100" }

    {1,0,0}

    {2,4,5}

    3

    2

    Returns: 1.0

  64. { "011110", "100001", "100000", "100000", "100000", "010000" }

    {5,5,4}

    {2,3,1}

    0

    5

    Returns: 1.0

  65. { "011101", "100000", "100110", "101000", "001000", "100000" }

    {2,1,0}

    {3,2,4}

    3

    5

    Returns: 1.0

  66. { "011011", "100000", "100110", "001001", "101000", "100100" }

    {0,1,3,3,2}

    {3,5,1,1,5}

    5

    2

    Returns: 0.9375

  67. { "010000", "101100", "010010", "010001", "001000", "000100" }

    {5,4}

    {1,3}

    2

    3

    Returns: 1.0

  68. { "010100", "101010", "010011", "100000", "011000", "001000" }

    {4,0,5}

    {1,1,2}

    2

    4

    Returns: 0.0

  69. { "011111", "100010", "100011", "100011", "111101", "101110" }

    {0,3,3,3,2}

    {5,2,2,2,1}

    1

    3

    Returns: 0.8518518518518519

  70. { "011000", "100100", "100101", "011010", "000100", "001000" }

    {2,0}

    {5,2}

    4

    2

    Returns: 1.0

  71. { "01100", "10011", "10000", "01000", "01000" }

    {3,4}

    {1,1}

    2

    1

    Returns: 1.0

  72. { "01011", "10110", "01000", "11000", "10000" }

    {4,1}

    {2,3}

    3

    4

    Returns: 1.0

  73. { "01000", "10100", "01011", "00100", "00100" }

    {1,4}

    {4,2}

    0

    1

    Returns: 0.0

  74. { "01100", "10100", "11011", "00101", "00110" }

    {4,1}

    {3,3}

    0

    4

    Returns: 1.0

  75. { "01010", "10110", "01001", "11001", "00110" }

    {2,2}

    {3,4}

    1

    2

    Returns: 0.5

  76. { "01110", "10100", "11001", "10001", "00110" }

    {4,4}

    {0,2}

    2

    3

    Returns: 0.5

  77. { "011", "101", "110" }

    {0}

    {1}

    2

    1

    Returns: 1.0

  78. { "011", "101", "110" }

    {0}

    {1}

    2

    1

    Returns: 1.0

  79. { "011", "101", "110" }

    {1}

    {0}

    0

    2

    Returns: 0.0

  80. { "011", "101", "110" }

    {1}

    {0}

    2

    1

    Returns: 0.0

  81. { "011", "100", "100" }

    {1}

    {2}

    2

    1

    Returns: 1.0

  82. { "010000010000000", "101000000000000", "010100000000000", "001010000000000", "000101000000000", "000010100010000", "000001010000000", "100000101000000", "000000010001000", "000000000001100", "000001000000010", "000000001100101", "000000000101011", "000000000010100", "000000000001100" }

    {0,9,9}

    {4,14,14}

    8

    10

    Returns: 0.5

  83. { "01101", "10010", "10010", "01100", "10000" }

    {2,4}

    {4,0}

    1

    4

    Returns: 1.0

  84. { "01000", "10110", "01010", "01101", "00010" }

    {4,1}

    {3,4}

    0

    4

    Returns: 1.0

  85. { "01010", "10101", "01000", "10000", "01000" }

    {0,0}

    {4,3}

    1

    3

    Returns: 1.0

  86. { "01000", "10100", "01011", "00100", "00100" }

    {4,2}

    {2,0}

    3

    0

    Returns: 1.0

  87. { "01000", "10110", "01011", "01101", "00110" }

    {4,1}

    {2,4}

    2

    3

    Returns: 0.5

  88. { "01011", "10100", "01000", "10000", "10000" }

    {0,2}

    {2,3}

    3

    1

    Returns: 1.0

  89. { "01111", "10000", "10001", "10001", "10110" }

    {4,2}

    {3,3}

    3

    2

    Returns: 0.5

  90. { "01110", "10001", "10010", "10100", "01000" }

    {2,0}

    {4,4}

    3

    2

    Returns: 0.0

  91. { "01101", "10010", "10000", "01000", "10000" }

    {1,1}

    {2,0}

    3

    1

    Returns: 0.0

  92. { "01100", "10000", "10011", "00100", "00100" }

    {1,3}

    {2,0}

    0

    4

    Returns: 1.0

  93. { "01100", "10011", "10000", "01000", "01000" }

    {0,3}

    {2,1}

    4

    3

    Returns: 1.0

  94. { "01001", "10100", "01011", "00100", "10100" }

    {3,4}

    {1,2}

    2

    3

    Returns: 1.0

  95. { "01001", "10110", "01000", "01000", "10000" }

    {0,2}

    {1,3}

    4

    0

    Returns: 0.0

  96. { "01000", "10110", "01010", "01101", "00010" }

    {1,3}

    {2,2}

    2

    1

    Returns: 1.0

  97. { "01001", "10110", "01000", "01000", "10000" }

    {0,1}

    {4,0}

    2

    1

    Returns: 0.0

  98. { "01010", "10100", "01011", "10100", "00100" }

    {0,0,0,0,0,0}

    {1,4,1,4,4,4}

    3

    0

    Returns: 0.9375

  99. { "01111", "10100", "11010", "10100", "10000" }

    {3,4,1,3,3,3,3,3,3,3}

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

    2

    3

    Returns: 0.99609375

  100. { "01101", "10010", "10010", "01100", "10000" }

    {0,4}

    {1,3}

    3

    4

    Returns: 0.5

  101. { "01110", "10001", "10000", "10000", "01000" }

    {1,4}

    {0,3}

    0

    3

    Returns: 0.0

  102. { "0110100000000011100000100", "1000100000000000000100000", "1001000000000100100000000", "0010010000011001000010000", "1100000000000000000000101", "0001001011000001000000000", "0000010101000000000000000", "0000001000100000000010000", "0000010001100000000000000", "0000011010000000000000000", "0000000110000000010000000", "0001000000000000100000000", "0001000000000010000000100", "0010000000000000000101100", "1000000000001000001110010", "1001010000000000000001000", "1010000000010000001010000", "0000000000100000000000000", "0000000000000010100010000", "0100000000000110000000000", "0001000100000010101000000", "0000000000000101000000000", "1000100000001100000000001", "0000000000000010000000000", "0000100000000000000000100" }

    {21,6,20,13,20,6,2,6,11,11}

    {12,5,13,18,15,19,4,11,0,19}

    16

    15

    Returns: 1.0

  103. { "0100000100010010110100000", "1010000011000101000111000", "0101110000011000100001000", "0010011110101000000110010", "0010001001010000000100000", "0011000001001101000001001", "0001100000101010010010010", "1001000000011010001000010", "0101000001000000000000000", "0100110010000010000000001", "0001001000000001010110000", "1010100100000001110000000", "0011011100000000100000001", "0100010000000000010010000", "1000001101000000000011001", "0100010000110000000100001", "1010000000011000000001001", "1000001000110100000001010", "0000000100000000000100000", "1101100000100001001000100", "0101001000100110000000000", "0110010000000010110000010", "0000000000000000000100001", "0001001100000000010001000", "0000010001001011100000100" }

    {1,1,8,14,16,23,11,14,17,8}

    {17,2,15,4,22,24,24,1,4,0}

    9

    14

    Returns: 0.625

  104. { "0110100000000101100000100", "1011010011000000000011000", "1100010000000010000000100", "0100001101001010110000010", "1000000000001000100000010", "0110000100001000110010010", "0001000001001010001011000", "0001010000100100000000110", "0100000000110011001100011", "0101001000011010001000000", "0000000110001000000000000", "0000000011000000100000000", "0001111001100100000000011", "1000000100001001001100100", "0011001011000001000001000", "1000000010000110000000000", "1001110000010000000000001", "0001010000000000000000010", "0000001011000100000011000", "0000000010000100000000100", "0100011000000000001000100", "0100001000000010001000000", "1010000100000100000110010", "0001110110001000010000100", "0000000010001000100000000" }

    {18,15,0,19,4,18,14,2,1,6}

    {12,10,14,1,23,14,21,7,19,17}

    23

    24

    Returns: 0.0

  105. { "0101000111110110110011000", "1010111101100101010001100", "0100001110110011000011011", "1000100011011000011010100", "0101011101110011010010001", "0100101101100010010100111", "0110110101110111000111101", "1110111011110001011100111", "1011000101110010010110110", "1101111110111110000001011", "1110111111010110000111010", "1011101111100111001110001", "0001000001000001010010111", "1100001001110001010000010", "1010111011110000011011111", "0110101100011100101010110", "1000000000000001010000000", "1101110110001110101110000", "0001000100010011010011111", "0000011110110000010000110", "1011101010111011011000100", "1110001001100010001000110", "0101011110001011001111000", "0010010111101111001101000", "0010111101011010001000000" }

    {23,18,16,15,24,17,13,22,10,9}

    {15,11,21,10,2,23,18,19,23,13}

    1

    5

    Returns: 0.125

  106. { "0100001000001001000001000", "1010000100000000010010000", "0101010100100010010000000", "0010100010010100000100000", "0001000100000000000000000", "0010000000000000010000000", "1000000000000000101000000", "0110100000000000001000000", "0001000001000000000000000", "0000000010000000000000000", "0010000000000000000001000", "0001000000000000000000000", "1000000000000000000000000", "0001000000000010000000101", "0010000000000100000000000", "1000000000000000000000110", "0000001000000000000000000", "0110010000000000000000000", "0000001100000000000000000", "0001000000000000000000000", "0100000000000000000000000", "1000000000100000000000000", "0000000000000101000000000", "0000000000000001000000000", "0000000000000100000000000" }

    {11,3,13,16,5,15,3,23,4,6}

    {0,24,8,4,1,11,8,9,7,4}

    12

    20

    Returns: 1.0

  107. { "0111110011010111101100110", "1011100000101001110111001", "1101111110011111010110111", "1110110111011010101100111", "1111001101010101011111100", "1011000010101011111000111", "0010100010000010111111111", "0011100011111111110000111", "1011011100111010011100000", "1001100100111110011010100", "0100010111001011010111000", "1011100111001011011110110", "0111010111110000110010110", "1010100101000011101111101", "1011011111110101111001110", "1110110100110110000110010", "1101011100001110001010011", "0110111111111010001111100", "1001111011010110110011011", "1111101010110101010010101", "0110101001111101111101110", "0100101000100110011010000", "1011111101011110010110000", "1011011100011011101010001", "0111011100000100101100010" }

    {5,1,14,22,24,1,23,5,10,22}

    {18,23,7,23,15,13,8,1,7,13}

    11

    4

    Returns: 0.11111111111111116

  108. { "0110011001010000100000111", "1000101000001100101011101", "1001100000010011111000000", "0010100010101101010000010", "0111001111000001011000011", "1000000100110101010100010", "1100100111011010101000000", "0000111001100000011001111", "0001101000010011011001111", "1000101100000000100001001", "0001010100001110000101011", "1010011010000101001010011", "0101001000100001100110100", "0101010000110011001000110", "0010001010100101000010011", "0011110010011110101110100", "1110001001001001010100001", "0011110110000000101011000", "0110101110010101010101000", "0000010000101001101010110", "0100000000011011010100010", "0100000111100000011000011", "1100000110001101000100011", "1001110110110110000111101", "1100100111110010100001110" }

    {13,2,7,2,17,4,14,19,23,18}

    {1,18,6,10,16,12,4,4,15,10}

    3

    4

    Returns: 0.32499999999999996

  109. { "0110001000000000000010010", "1000000010000000000000000", "1001100001000000000000000", "0010000000100010000001000", "0010010000000000000000000", "0000100000000000000000100", "1000000100001000100000000", "0000001000010011000000000", "0100000001000000100000000", "0010000010100000000000010", "0001000001000000000000000", "0000000100000100100000000", "0000001000000000000000000", "0000000000010000000000000", "0001000100000000001000000", "0000000100000000000000000", "0000001010010000010100000", "0000000000000000100000000", "0000000000000010000000000", "0000000000000000100000000", "1000000000000000000000001", "0001000000000000000000000", "0000010000000000000000000", "1000000001000000000000000", "0000000000000000000010000" }

    {22,9,13,7,15,19,0,11,3,1}

    {12,10,1,11,2,18,3,19,14,16}

    2

    24

    Returns: 1.0

  110. { "0111100000000101000000000", "1000000000110000000001000", "1000000100000001010001100", "1000100000000000001001100", "1001010000000000011100001", "0000101101101001001011000", "0000010010100000010000000", "0010010010100010001000000", "0000001100000000000001100", "0000010000000000000000000", "0100011100000011100100100", "0100000000001000000000000", "0000010000010100000011001", "1000000000001000110000010", "0000000100100000000000110", "1010010000100000000100010", "0000000000100100000010001", "0010101000000100000100000", "0001110100000000000000010", "0000100000100001010001000", "0000010000001000100000000", "0111010010001000000100000", "0011000010100010000000000", "0000000000000111001000000", "0000100000001000100000000" }

    {12,18,0,9,5,21,19,3,12,1}

    {7,16,2,18,16,20,0,18,4,10}

    8

    12

    Returns: 0.0

  111. { "0100000010001000000000001", "1011100000000000000000000", "0100000101101000000000000", "0100010000000010000000000", "0100000000000000000000000", "0001001000001000000100000", "0000010001000000000000000", "0010000000010000000000100", "1000000000000001100000010", "0010001000000100000000000", "0010000000000000000000000", "0000000100000000010100000", "1010010000000100000001000", "0000000001001000000000000", "0001000000000000001000000", "0000000010000000000000010", "0000000010000000000000000", "0000000000010000000110010", "0000000000000010000000100", "0000010000010000010000000", "0000000000000000010000000", "0000000000001000000000000", "0000000100000000001000001", "0000000010000001010000000", "1000000000000000000000100" }

    {4,3,13,22,22,14,22,9,1,22}

    {22,10,18,20,15,4,9,7,20,6}

    20

    14

    Returns: 0.33333333333333326

  112. { "0101100101000001000000110", "1010000010100000010000011", "0100011000000000000000000", "1000000000001000010001100", "1000000000000000000000001", "0010000000000000000100000", "0010000000000000000000101", "1000000000011000000000000", "0100000000000000000010001", "1000000000100010000010000", "0100000001000000000000000", "0000000100000100100000000", "0001000100000110010000010", "0000000000011010000000000", "0000000001001100000000000", "1000000000000000011000000", "0000000000010000000000000", "0101000000001001001100000", "0000000000000001010000000", "0000010000000000010000001", "0000000011000000000000000", "0001000000000000000000100", "1001001000000000000001000", "1100000000001000000000001", "0100101010000000000100010" }

    {0,21,15,0,5,5,7,19,17,21}

    {7,1,4,4,4,3,18,6,24,4}

    10

    5

    Returns: 0.5

  113. { "0101010010010000110011000", "1010110111011011101110000", "0100111101110010110001000", "1000110101101000010101000", "0111000110110110111101100", "1111001000101100110000110", "0010010010001100001110011", "0111100011101001101011110", "1100101100100010011100010", "0111000100000110001011011", "0011110110001001111000011", "1110100000000100011100111", "0101011100100000001101000", "0000111001010000010110000", "0110100011000001110001010", "0100000100100010010010000", "1110110100100010000010001", "1011110010110111000101000", "0100101111111000000110000", "0101101010011100011011111", "1100001101000101101100100", "1011100101001010010100100", "0000110100010000000111001", "0000011111110010000100001", "0000001001110000100100110" }

    {14,16,23,11,20,4,1,23,2,12}

    {21,1,7,8,4,11,17,12,24,3}

    5

    17

    Returns: 0.1428571428571428

  114. { "0101000100100111000000100", "1010011000000100101000010", "0100100100011000010001010", "1000101100010100111001011", "0011000000000101110100000", "0100001001000000101010001", "0101010010001111001001001", "1011000010101000100010111", "0000001101100101111011001", "0000010010100100000100101", "1000000111000000000100000", "0011000000000101111110100", "0010001100000001000001101", "1101101011010000010110000", "1000001000000001101000000", "1000101010011010010011100", "0101110110010010010100010", "0011100010010101100000010", "0101011010010010000100111", "0000100001110100101010111", "0000010110010101000100000", "0011001010001001000000000", "1000000101011001001100010", "0111000100000000111100100", "0001011111001000001100000" }

    {10,17,0,7,9,8,4,1,20,14}

    {7,2,12,12,6,0,23,8,2,16}

    21

    14

    Returns: 0.25

  115. { "0110110011010111010111100", "1001101001001100010011001", "1001111011011110101011001", "0110011100011111110000111", "1110011110101110111011001", "1011100001001111100110111", "0111100101110001100111001", "0001101001110011111011110", "1010100000100110100110101", "1110011100010001010011010", "0000101110001010111101010", "1011001101000111101100101", "0111110000100010011011010", "1111110010010010001100110", "1011110110111101111100010", "1001011101010010101011011", "0011111110110011001100110", "1101100101101010001111111", "0010100100111111110101011", "1000011010110110111000101", "1110111111001001010001101", "1110101101101001011010011", "1001010110010100110110011", "0001010101101111111001101", "0111111010010001011111110" }

    {10,0,7,15,19,10,8,17,11,16}

    {4,8,2,23,9,12,23,21,16,4}

    12

    1

    Returns: 0.0

  116. { "0110011100000001001010100", "1011101100100001000011001", "1100110011000000101101001", "0100000110001000010010010", "0110000000011010000110100", "1010000101000001010101100", "1100000110000001101010000", "1101011001110000011011001", "0011001001000011001101111", "0010010110000010100001000", "0100000100001001101000001", "0000100100001100110010110", "0001100000110100111110101", "0000000000011000010111000", "0000100011000000110011101", "1100011010100000001100010", "0010001001111010000001100", "0001010100011110001000010", "1010001110101001010010000", "0010110010001101000011001", "1101101100011110001101001", "0110010111000110100110000", "1000110010011010100000001", "0001000010010001010000000", "0110000110101010000110100" }

    {22,20,1,0,10,10,3,7,20,8}

    {10,15,24,2,5,15,7,8,14,4}

    18

    0

    Returns: 0.19999999999999996

  117. { "0111110110010001001101110", "1010011000011100100010100", "1101101110111011001110100", "1010110110110000100101010", "1011001101000100000101001", "1101000010011110000110100", "0110100110001110001001101", "1011101011101001100010000", "1011011101111001000000001", "0000100110000010011001100", "0011000110000110000100001", "1111010010000001000100010", "0110011110000100100000010", "0100111000101000000001100", "0010011001100000101110100", "1010000110010000110000011", "0101000100001011000101001", "0000000001000001001100111", "1010001001000010010010010", "1011110000110010110001000", "0110010100000010001000001", "1001101001000100100100001", "1110011001000110010000000", "1001000000011001011000000", "0000101010100001110011000" }

    {2,16,6,5,4,5,17,0,10,10}

    {3,13,16,3,13,16,11,18,14,17}

    1

    5

    Returns: 0.19999999999999996

  118. { "0110000010010100000100000", "1001010010001000100110001", "1000010100001001000001110", "0100100000000110100110100", "0001010110000000101001000", "0110101001100000000001000", "0000010101010010100000000", "0010101000010010000110010", "1100100000000010100001000", "0000011000000100110010010", "0000010000010110110000000", "1000001100100101110000110", "0110000000000100111000100", "1001000001111000010000010", "0001001110100000001100001", "0010000000010000000000000", "0101101011111000000010010", "0000000001111100000001001", "0000100000001010000000000", "1101000100000010000001000", "0101000101000000100000100", "0010110010000000010100010", "0011000000011000000010000", "0010000101010100100001000", "0100000000000010010000000" }

    {15,22,18,10,20,5,8,21,17,21}

    {9,2,0,1,10,9,4,1,21,14}

    9

    10

    Returns: 1.0

  119. { "0110011111101001011110011", "1011100011101011100111100", "1101100101111011011010100", "0110111011010110100101111", "0111011001011010101111011", "1001101110101100101110011", "1001110011110111100111111", "1010010001111111000000111", "1101011001110001011111110", "1111101110110100101110011", "1110011111011011100010111", "0011101111100010101000110", "1110110100100110010101011", "0001011101001010101110100", "0111101100111101110010100", "1110001110100010101011100", "0101111001110111000011111", "1010000010001010001111010", "1010110011010101010111111", "1101111011001100011010101", "1110111011100111111100101", "0101101010001001111000111", "0111001110110111101111010", "1001111111111000111001100", "1001111101101000101111000" }

    {10,17,19,11,2,21,21,0,21,10}

    {8,0,7,5,15,7,19,8,6,2}

    12

    4

    Returns: 0.20000000000000007

  120. { "0101100010000000000000000", "1010000000100100000000000", "0100011001000000100001010", "1000100000010000000000010", "1001000000001010000000000", "0010000100100000000000010", "0010000000000010001000100", "0000010000000101000000001", "1000000000000000010001000", "0010000000010000000000000", "0100010000000000001000000", "0001000001000000000010000", "0000100000000000001001101", "0100000100000000001000000", "0000101000000000000000000", "0000000100000000000100010", "0010000000000000000000100", "0000000010000000000000000", "0000001000101100000000001", "0000000000000001000000000", "0000000000010000000001010", "0010000010001000000010001", "0000001000001000100000000", "0011010000000001000010001", "0000000100001000001001010" }

    {20,16,18,13,12,18,21,23,24,14}

    {23,0,14,14,17,7,8,17,22,1}

    0

    3

    Returns: 0.25

  121. { "0101101100001000001100001", "1010010110010010110100110", "0100011011000001100111110", "1000100111111010010111001", "1001011010110110110110011", "0110101101000100110101100", "1010110010101010101111101", "1101010001000010011000001", "0111101001001010011010001", "0011010110001101001001010", "0001101000001010101101110", "0101100000001101011111010", "1001001011110111110111010", "0000110001011011100011011", "0101101110101101010000001", "0010000001011110111000010", "0110111000101101011101101", "0101110110011011101100011", "1000001111110001110111101", "1111111000111000111000110", "0011101010011100001000000", "0011011001111100101000011", "0110011000100000101100001", "0110100001111101010101001", "1001101110000110111001110" }

    {12,23,21,11,9,14,7,0,7,11}

    {13,4,20,20,14,10,13,16,3,14}

    2

    13

    Returns: 1.0

  122. { "0100001111010110011001000", "1010101100000010000100011", "0101010000100000100001000", "0010100010100110001000101", "0101000001101110000100100", "0010000010000010110100100", "1100000000000101101110011", "1100000000100001111010011", "1001010001111110000000110", "1000100010001001010001011", "0011100110000001100010000", "1000000010001010101100000", "0000100011010010101011101", "1001101010000001010000000", "1101110010011000011000110", "0000001101100100000001000", "0010011100111000001100011", "1000010101000110000010100", "1001001100011010100000111", "0100111000010000100000011", "0000001100101000010001000", "1010000001001001000010100", "0001110010001010011001000", "0100001111000010101100000", "0101001101001000101100000" }

    {3,6,1,3,19,22,11,4,8,6}

    {13,1,3,16,5,5,16,15,23,13}

    23

    12

    Returns: 0.25

  123. { "0101100010110000101101100", "1010011011100011101101000", "0101010100100011010001010", "1010000100101000010011010", "1000010101111110001110100", "0110101010000100000101100", "0100010100100110101000010", "0011101001000000000010000", "1100010000110100000111011", "0100100100110001100111101", "1111101011000100000100110", "1000100011000000011000010", "0001100000000010010111001", "0000111010100011101100000", "0110101000001101101110110", "0110000001000110111010000", "1100001001000111000000100", "0011000000011001000010010", "1100101000010111000100001", "1100110011101110001000010", "0001100111001011010000100", "1111010011001000000000000", "1000110001100010100010000", "0011001010110010010100000", "0000000011001000001000000" }

    {16,6,10,21,13,0,21,10,19,1}

    {11,19,8,4,18,12,7,5,10,6}

    4

    19

    Returns: 0.34375

  124. { "0111000100110111110000111", "1011110001100010111001000", "1101000010011100110110100", "1110111101101011111101110", "0101001110101111010011011", "0101000011110101001010000", "0001100110110101001100001", "1001101011101110110110111", "0010111101110011011100010", "0101010110110010011101001", "1101111111010111000101110", "1010011011100010011001111", "0011100100000011111001101", "1010111100100011010110001", "1101100111111101011011010", "1001111010101110101011101", "1111000100001001010111001", "1111100111011110100110111", "0101011011011011000111011", "0011001111100100111000101", "0010110100000111111000110", "0101100001111011101000100", "1011000100111001010111000", "1001100110110010011010001", "1000101101011101111100010" }

    {16,2,8,19,16,3,24,2,23,13}

    {17,15,18,24,17,6,2,23,11,14}

    7

    22

    Returns: 0.125

  125. { "0111111111001100001111010", "1010111011110110111000010", "1101111111010101000111100", "1010111010001000111101000", "1111001101010111011101001", "1111000110100110100001010", "1111100111110011010001100", "1010111011110111111011111", "1111011100010010001010001", "1110101100110010111111101", "0100011101001001011111001", "0110101111001011101110001", "1001000000110010000111100", "1110110100000001101111101", "0100111111011000001101110", "0010101100110100111111000", "0101010101010101000011011", "0101101101100001000111001", "1101100111110111000111001", "1011100001111111011010100", "1010000111111101111100001", "1011111101101111111000110", "0010001101001110000101001", "1100010100000010100001000", "0000100111110100111010100" }

    {0,8,12,3,15,22,2,15,11,24}

    {15,0,7,5,3,23,19,12,8,8}

    4

    13

    Returns: 0.11111111111111116

  126. { "0110000111101001110000101", "1011111111011000101101011", "1100001000110010100111011", "0100101101100110000110111", "0101011011001001001110101", "0100101101000110110111100", "0111110000011010110110110", "1101010010010101011011001", "1100100101110101110110010", "1101110010101110001111011", "1011000011011110101111100", "0110001110101000101000110", "1100101001110110110111111", "0001010111101011011100111", "0011011001101100011101001", "1000100110000100101111101", "1110011010111001011000001", "1000011110001110100000101", "0100100101110111100010010", "0111111011101111000011111", "0011111111101001001100011", "0110010101101011000100110", "1001111000111101010101000", "0111001011011100001111001", "1111100101001111110110010" }

    {22,5,12,17,16,15,2,9,9,13}

    {23,16,18,15,7,18,15,4,17,9}

    3

    10

    Returns: 0.09999999999999998

  127. { "0100000000", "1010100100", "0101001010", "0010010101", "0100001000", "0001000010", "0010100100", "0101001010", "0010010100", "0001000000" }

    {4,9}

    {5,1}

    0

    9

    Returns: 0.9375

  128. { "0001110000000000000000001", "0001110000000000000000001", "0001110000000000000000001", "1110001110000000000000000", "1110001110000000000000000", "1110001110000000000000000", "0001110001110000000000000", "0001110001110000000000000", "0001110001110000000000000", "0000001110001110000000000", "0000001110001110000000000", "0000001110001110000000000", "0000000001110001110000000", "0000000001110001110000000", "0000000001110001110000000", "0000000000001110001110000", "0000000000001110001110000", "0000000000001110001110000", "0000000000000001110001100", "0000000000000001110001100", "0000000000000001110001100", "0000000000000000001110010", "0000000000000000001110010", "0000000000000000000001100", "1110000000000000000000000" }

    {24,24,24,24,24,24,24,24,24,24}

    {23,23,23,23,23,23,23,23,23,23}

    23

    24

    Returns: 0.6920538523425614

  129. {"0110","1000","1001","0010"}

    {3}

    {2}

    1

    3

    Returns: 1.0

  130. {"0101", "1010", "0101", "1010"}

    {1}

    {0}

    0

    1

    Returns: 1.0

    0 -- 1 | | | | 3----2 The longer path (0 -> 3 -> 2 -> 1) is absolutely safe, but you must take the shortest one (0 --> 1).

  131. {"011", "101", "110"}

    {0}

    {1}

    2

    1

    Returns: 1.0

    You are caught at the moment you enter room 1.

  132. {"00111000000000", "00001000000000", "10000100000000", "10000100000000", "11000010000000", "00110001000000", "00001000111000", "00000100000100", "00000010000010", "00000010000010", "00000010000010", "00000001000001", "00000000111001", "00000000000110" }

    {0, 0 }

    {13, 13 }

    1

    12

    Returns: 0.84

  133. {"0011000000", "0010000000", "1100110000", "1000001000", "0010000100", "0010000010", "0001000010", "0000100001", "0000011001", "0000000110" }

    {0 }

    {9 }

    1

    8

    Returns: 1.0

  134. {"0110000000001", "1001000000110", "1001000000000", "0110110000000", "0001001001100", "0001001000000", "0000110110000", "0000001000000", "0000001001000", "0000100010000", "0100100000000", "0100000000001", "1000000000010" }

    {1, 8 }

    {4, 12 }

    7

    0

    Returns: 0.9230769230769231

  135. {"01000000", "10101000", "01010001", "00100000", "01000100", "00001010", "00000101", "00100010" }

    {4 }

    {7 }

    0

    3

    Returns: 0.5


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