TopCoder Statistics - Problem Statement

Problem Statement

In basketball it is very important to consider how much time is left in the game, especially near the end of the game. In this problem, we will consider two teams, A and B, in a game with time seconds left, where neither team has any way to stop the clock (time outs). To keep things simple, we will ignore three point shots and fouls, and only consider regular baskets, which score 2 points.

In the game, the two teams take turns trying to score baskets. After one team attempts to score a basket and fails, that team may get the rebound and attempt to score again. Otherwise, if a team successfully scores or fails to get the rebound, the other team gets the ball. An attempt to score always involves some set up time where players get into position and pass the ball and things like that. The amount of time that a team takes to set up influences the probability that its shot attempt will be successful. If a team attempts to score and gets its own rebound, the setup starts over. To prevent teams from simply holding the ball until the end of the game when they are winning, the team with the ball must attempt to score within a certain timeframe (this is known as the shot clock, and is reset if a team attempts to score and rebounds).

In this problem, the probabilities of team A scoring are given by percentageA. Element i of percentageA indicates the probability (as a percentage) that a shot will score after i+2 seconds of setup. Due to the shot clock, team A must shoot after a number of seconds corresponding to an element of percentageA. Also, the probabilities that team A will rebound the ball after shooting and failing to score are given by reboundA, where element i corresponds to i+2 seconds of setup. Finally, scoreA indicates team A's current score. The parameters for team B are analogous.

Given the inputs as described above, the fact that team A has just gained possession of the ball, and the assumption that A plays optimally to win, while B plays optimally to prevent A from winning, you should compute the probability that team A wins the game (ties don't count).

Definition

Class:: ClockManagement
Method:: winProbability
Parameters:: int[], int[], int[], int[], int, int, int
Returns:: double
Method signature:: double winProbability(int[] percentageA, int[] percentageB, int[] reboundA, int[] reboundB, int time, int scoreA, int scoreB)
(be sure your method is public)

Notes

In this problem, teams may not attempt to score with less than 2 seconds of setup time.
Time is treated discretely in this problem.
Your return must have error less than 1E-9.

Constraints

percentageA, percentageB, reboundA, and reboundB will each contain between 1 and 50 elements, inclusive.
percentageA, percentageB, reboundA, and reboundB will all contain the same number of elements.
Each element of percentageA, percentageB, reboundA, and reboundB will be between 0 and 100, inclusive.
scoreA and scoreB will be between 0 and 100, inclusive.
time will be between 1 and 300, inclusive.

Examples

{10,20,30,40}

{10,20,30,40}

{1,2,3,4}

{1,2,3,4}

5

99

100

Returns: 0.4

Trailing by only 1 point, the best strategy is to set up as long as possible (5 seconds), and then attempt to score right at the end of a game, making two points with a probability of 40%.
{10,20,30,40}

{10,20,30,40}

{1,2,3,4}

{1,2,3,4}

5

98

100

Returns: 0.0

There is no way to win here; the best you can do is score 2 points and tie it up, after which team B will wait until the end of the game.
{10,20,30,40}

{10,20,30,40}

{1,2,3,4}

{1,2,3,4}

10

98

100

Returns: 0.011519999999999997

The best strategy here is to set up for 2 or 3 seconds (it doesn't matter which) and then attempt to score. If you succeed, team B will set up for 5 seconds and then attempt to score. Assuming that B fails to score and fails to get the rebound, you will then have 2 or 3 seconds to set up and score again. The probability of things working out like this is 0.1*0.6*0.96*0.2 = 0.01152.
{5,8,10,13,15,20,25,30,35,40,41,42,42,43,44,46,45,45,46,47,48,48,48,49}

{0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,7,8,9,10,11,12,13}

{20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43}

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

180

94

100

Returns: 0.11549711731257152
{0}

{0}

{0}

{0}

120

99

98

Returns: 1.0
{100}

{100}

{100}

{100}

1

100

100

Returns: 0.0
{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}

180

100

100

Returns: 0.42987449203679523
{21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

{11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

180

99

100

Returns: 0.6750794552557516
{21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

{11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33}

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

50

97

100

Returns: 0.06837784648408529
{0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,7,8,9,10,11,12,13}

{5,8,10,13,15,20,25,30,35,40,41,42,42,43,44,46,45,45,46,47,48,48,48,49}

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

{20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43}

180

100

97

Returns: 0.4440988111855081
{0,100}

{100,100}

{100,100}

{100,100}

10

54

55

Returns: 1.0
{100}

{100}

{100}

{100}

31

65

66

Returns: 1.0
{5,0,87,34,56,67,91,66,48,7,22,20,49,14,19,14,91,44,32,90}

{83,32,65,98,93,26,7,47,12,56,48,71,74,55,52,49,17,10,57,11}

{3,62,65,5,13,16,65,33,0,94,73,31,77,60,49,47,65,76,70,96}

{83,61,1,30,72,3,3,64,24,37,9,56,15,54,17,82,82,66,18,37}

33

57

50

Returns: 1.0
{29,71,73,45,86,79,59,1,74,42,96,88,58,34,91,52,97,63,99,87}

{23,39,11,9,0,60,37,100,80,13,59,13,78,58,6,69,50,73,18,98}

{11,25,0,99,98,0,50,58,34,57,37,82,43,22,56,34,57,55,59,66}

{2,76,60,82,60,38,29,98,40,1,57,73,88,66,67,23,23,76,54,38}

59

36

39

Returns: 0.0
{47,45,38,76,52,69,94,86,5,13,38,50,46,96,28,20,88,1,9,45,66,7,59,40,31,3,51,23,28,82,62,76,53,86,80,77,59,6}

{50,49,22,90,60,48,35,25,31,43,5,23,5,94,18,50,12,66,12,73,59,60,4,36,37,33,10,95,75,67,83,91,59,42,60,68,22,57}

{49,78,18,0,0,76,75,0,3,69,82,29,45,31,61,50,16,31,12,62,87,4,48,92,47,73,39,79,57,91,82,54,33,84,58,71,77,26}

{29,83,69,56,63,70,93,93,95,72,94,61,83,3,62,41,74,0,86,42,49,16,77,61,88,59,95,59,37,60,66,0,95,76,20,36,17,100}

163

86

82

Returns: 0.9989723564557763
{34,67,21,1,89,62,17,14,93,89,42}

{12,95,67,21,69,9,64,18,71,12,1}

{70,16,81,28,90,19,11,40,23,42,94}

{28,69,6,77,30,49,1,22,2,61,9}

124

22

24

Returns: 0.101755679000814
{83,91,52,54,44,84,48,45,71,30,17,39,25,34,48,94,49,95,50,30,8,38,62,24,63,63,62,64,99,22,63,77,35}

{27,95,85,77,91,58,42,19,57,46,42,67,10,3,22,65,92,29,42,92,54,44,3,29,2,74,44,52,45,20,91,79,33}

{47,64,12,64,72,94,58,9,55,37,7,95,72,98,77,92,35,17,76,8,0,20,77,49,70,64,30,58,18,96,72,2,32}

{99,97,97,81,78,14,6,54,40,89,41,6,19,87,57,92,56,74,26,60,88,11,74,2,39,91,37,35,17,93,98,43,23}

84

9

11

Returns: 0.0024819267669867065
{29,87,76,13,83,37,46,50,87,37,82,25,94,51,20,95,60,52,95,24,50,24,36,59,98,23,56,64,75,84,28,8,0,53,12}

{54,77,32,53,0,5,77,16,29,95,45,29,56,93,70,75,79,36,75,72,92,58,66,21,92,67,55,23,78,14,98,85,94,8,90}

{97,41,94,55,38,53,23,21,100,42,0,94,10,23,11,6,52,67,47,77,94,82,63,54,34,87,2,67,26,25,15,89,6,57,64}

{40,97,93,70,60,33,21,35,33,42,59,58,47,92,16,70,43,48,84,54,39,35,26,38,63,58,31,64,97,84,33,5,7,8,26}

76

84

85

Returns: 0.63473882263872
{24,91,74,43,99,59,98,50,17,43,26,70,82,39,33,37,95,35,91,62,97,97,25,1,42,44,71}

{43,13,38,70,41,64,40,61,9,8,5,75,18,38,24,19,78,41,3,67,85,32,19,82,90,65,48}

{80,78,22,54,57,98,87,22,93,13,40,14,93,73,83,61,91,55,1,4,21,40,57,9,25,86,12}

{8,93,79,54,2,65,10,46,15,82,69,83,43,31,65,81,16,16,89,55,68,23,68,67,51,59,1}

107

87

87

Returns: 0.4736928355540612
{80,58,53,27,4,72,5,59,73,60,20,79,87,33,10,69,23,21,59,89,40,80,36,7,10,6,98,45,21,57,41,9}

{61,37,85,93,78,99,48,74,67,96,93,34,98,41,4,100,62,4,0,52,64,75,89,0,79,77,90,83,76,58,38,60}

{45,63,1,90,12,21,41,51,96,38,8,25,18,100,61,85,72,12,19,64,74,92,90,23,15,82,10,94,5,98,3,29}

{5,62,46,81,85,90,25,71,26,44,54,0,63,18,14,74,58,83,79,7,32,29,2,61,43,10,99,1,46,1,55,21}

134

81

84

Returns: 1.1069555735679684E-16
{82,7,98}

{15,25,41}

{54,81,98}

{50,46,57}

145

88

90

Returns: 0.995403665344783
{96,91,93,8,65,85,21,3,69}

{46,29,21,47,39,7,48,2,35}

{41,29,28,84,8,17,70,30,7}

{22,87,36,65,55,14,4,51,11}

74

44

49

Returns: 0.3298551828672662
{25,43,12,4,17,5,7,27,17,18,86,95,9}

{95,69,76,78,42,1,22,93,75,80,82,41,36}

{66,71,13,7,82,39,5,97,35,79,91,13,43}

{54,79,23,41,48,53,97,5,93,71,100,73,23}

59

73

71

Returns: 0.9667816875827727
{65,49,59,93,22,14,32,57,38,85,58,79,95,43,57,86,78,13,7,14,88,90,83,16,34}

{42,38,19,97,95,92,51,22,6,51,29,31,81,13,95,80,13,27,40,64,0,92,21,100,20}

{69,91,23,74,65,13,32,43,70,29,10,70,84,35,13,1,55,86,46,85,85,71,24,57,82}

{26,90,92,62,83,27,61,52,74,88,74,66,83,39,83,83,24,45,59,45,5,58,2,79,91}

179

52

45

Returns: 0.9999997614262687
{20,58}

{47,58}

{10,5}

{15,73}

180

30

25

Returns: 0.1617112556221944
{39,97,27,93,92,47,18,69,86,37,2,53,69,67,92,35,72,28,99,63,67,91,21,40,36,42,79,88,58,21,94,16,94,23,61}

{50,93,66,44,61,44,7,89,8,52,82,65,73,33,75,11,17,53,52,56,85,6,43,9,28,93,65,56,82,4,41,48,60,33,86}

{55,27,32,88,27,16,59,96,100,59,15,74,94,44,36,20,82,38,94,64,26,54,52,56,27,34,82,75,28,45,96,52,20,69,30}

{70,78,82,68,21,95,48,78,57,85,39,3,97,42,8,54,60,70,22,63,29,39,78,20,86,66,58,95,7,85,47,98,39,59,72}

105

70

72

Returns: 0.015374178524924717
{5,63,99,3,75,97,47,58,69,31,98,67,3,31,62,36,33,94,75,79,90,49,27,83,53,38,46,19,88,40,9,52,1,71,1,93,87,57,98,79,22,97,46,20,98,100,0,19,42,34}

{22,23,64,94,64,75,34,40,85,74,16,78,92,40,12,94,11,23,13,21,69,48,63,6,95,33,71,97,5,85,18,63,24,74,19,53,19,28,4,83,47,9,64,45,82,85,48,7,0,72}

{38,8,76,18,8,56,27,13,61,52,85,87,10,79,20,84,21,17,34,78,65,68,12,50,18,75,67,1,83,4,38,3,33,95,85,74,92,64,13,40,19,66,15,4,38,83,97,97,49,17}

{38,85,49,40,81,38,100,33,80,100,69,89,37,4,6,6,46,65,42,28,77,64,50,85,20,27,77,43,37,93,11,39,90,34,82,81,79,41,76,49,40,66,45,30,50,89,37,40,51,100}

43

61

58

Returns: 1.0
{34,12,68,78,76,67,84,77,22,23}

{41,81,95,28,14,99,82,52,26,65}

{48,90,19,43,43,87,32,35,12,57}

{64,76,98,59,33,43,20,7,93,28}

98

26

27

Returns: 0.3116494857061885
{80,73,22,13,7,63,49,88,68,75,37,48,78,78,8,69,71,28,41,62,40,80,39,50,36,35}

{2,60,98,89,0,52,91,57,3,100,46,67,93,54,91,5,22,67,99,94,31,20,31,62,72,35}

{85,69,69,92,35,39,51,97,83,29,80,10,82,43,19,57,21,92,92,10,75,15,36,82,70,43}

{27,89,42,47,67,66,16,70,44,67,13,36,16,3,80,58,56,7,63,38,29,76,59,35,67,69}

32

95

96

Returns: 0.6911272
{75,11,39,69,68,33,50,27,87,94,56,30,61,38,57,43,41,3,88,29}

{49,8,30,38,78,46,66,94,58,45,84,82,88,40,22,27,12,22,40,31}

{50,23,97,7,42,23,10,71,96,41,31,34,45,10,46,99,90,87,94,21}

{15,47,45,86,35,80,97,86,38,13,17,39,57,44,86,59,91,66,16,73}

52

12

13

Returns: 0.5275232599143961
{47,17}

{88,86}

{33,95}

{88,13}

54

74

76

Returns: 0.009626866757070161
{21,43,14,36,85,58,81,97,4,28,76,15,5,1,6,12,17,66,87,25,58,30,18,61,89,98,79,50,48}

{1,63,87,16,8,40,98,23,85,57,55,74,58,86,71,57,14,2,3,85,52,38,46,3,37,7,11,17,94}

{83,52,44,44,63,99,85,57,32,15,40,30,72,4,88,42,34,23,20,52,71,53,70,66,52,44,4,22,69}

{10,54,13,29,81,30,56,56,63,90,65,18,63,43,54,0,45,84,48,71,78,35,90,16,80,71,41,93,33}

178

27

32

Returns: 0.001580787880359752
{36,84,95,23,45,41,23,19,1,22,41,3,55,34,23,80,35,95,42,8,14,7,87,62,26,37,66,36,8,98,64,45,62,14,75,51,20,10,86,30,93,44,6,85,32,30}

{23,9,26,81,95,57,89,98,99,80,59,2,95,23,36,4,47,97,82,19,64,24,17,78,82,33,90,13,66,53,50,82,73,22,71,55,89,34,84,90,60,99,88,28,58,12}

{54,60,41,8,40,89,31,30,34,100,4,65,31,44,62,64,28,16,26,18,76,65,71,5,48,43,32,61,33,94,34,78,46,25,30,79,15,86,46,32,56,77,49,15,65,43}

{95,82,81,73,42,1,42,30,30,7,41,50,83,19,59,31,36,99,6,75,13,87,3,66,61,9,99,89,82,47,15,13,25,81,35,6,96,7,8,4,38,8,39,80,44,17}

156

27

28

Returns: 0.5351069388264408
{32}

{90}

{97}

{59}

158

73

70

Returns: 0.8493316041033258
{23,35,77,47,13,86,16,95,98,83,15,76,97,17,67,64,73,86,55,19,38,76,21,19,53,68,57,64}

{56,21,9,69,100,72,32,1,51,22,28,11,57,16,16,35,55,68,98,61,38,0,94,91,29,38,53,45}

{20,89,28,75,87,7,96,100,61,87,5,97,32,18,48,92,39,17,29,66,66,10,27,95,5,22,32,73}

{87,76,24,32,52,9,8,83,71,70,69,67,61,45,11,5,61,84,6,18,93,11,29,73,20,50,72,100}

132

65

65

Returns: 0.5521492905125465
{29,58,39,22,31,23,39,44,35,29,57,40,25,36,36,51,54,34,25,55,47,40,42,57,60,33,56,54,37,25,50,33,38,39,27,37,35,54,57,60,51,35,35,24,31,43,46,26,28,43}

{52,53,22,38,24,29,23,41,25,53,54,20,45,28,20,34,31,44,60,25,32,39,44,22,22,45,21,47,51,21,57,39,49,59,28,39,36,47,43,30,47,21,52,27,24,30,60,48,29,21}

{19,4,6,5,20,18,18,9,6,5,13,18,11,12,5,6,20,11,2,16,7,18,16,16,12,18,4,20,20,4,11,17,7,14,10,13,7,12,11,6,20,20,4,14,8,17,10,13,5,11}

{13,4,14,17,11,16,6,7,8,8,20,6,2,11,8,2,8,2,12,20,14,12,6,17,17,9,14,7,17,7,18,15,14,7,16,8,16,9,13,9,4,20,9,9,5,17,19,14,3,11}

180

54

61

Returns: 0.0033905246284758887
{51,44,56,47,38,27,43,28,49,24,24,44,32,24,36,46,29,56,25,55,51,28,40,29,36,24,55,58,48,28,44,21,33,35,48,35,46,39,38,52,34,36,47,45,21,20,52,34,25,54}

{28,42,59,29,33,53,50,59,49,21,31,25,35,41,28,33,56,46,43,44,60,53,40,53,36,21,36,44,29,32,55,29,51,25,51,60,50,32,28,56,44,48,41,34,25,52,47,60,56,26}

{11,15,17,4,12,8,20,15,17,8,9,3,7,5,15,18,17,17,16,10,6,15,11,2,16,2,7,20,19,11,15,7,2,11,20,14,18,2,9,19,6,7,9,10,8,18,16,10,18,6}

{9,16,20,9,5,6,13,20,14,4,4,14,7,16,8,15,5,12,4,19,9,20,12,14,6,15,14,11,20,11,20,2,4,18,6,17,11,7,8,3,7,4,12,20,3,6,4,3,9,7}

180

84

88

Returns: 0.03983990177320299
{20,58,45,37,30,56,41,30,58,26,20,46,58,21,52,28,46,26,51,32,58,54,20,39,22,22,30,38,33,40,40,39,32,59,39,57,26,52,28,36,40,53,46,59,28,22,48,50,22,58}

{26,29,20,26,54,59,43,48,30,48,41,35,23,28,43,58,36,45,49,30,46,59,60,24,44,25,31,23,44,40,41,49,33,39,32,27,34,30,56,26,25,21,20,53,33,49,42,44,30,40}

{18,10,5,2,3,10,6,15,12,12,17,12,7,14,20,4,15,5,18,19,11,5,6,14,19,3,8,11,14,2,13,20,8,11,17,6,12,4,6,16,13,6,15,20,8,11,7,16,11,13}

{13,9,10,16,8,18,2,15,5,11,16,14,6,4,12,18,14,9,8,17,6,16,8,10,3,10,3,15,2,18,10,18,19,13,10,7,18,4,20,7,18,14,16,9,3,15,17,7,4,15}

180

31

31

Returns: 0.45399356635962324
{52,50,22,30,26,30,58,58,28,41,44,38,27,30,44,45,28,27,44,28,44,30,33,25,42,27,28,48,49,59,32,34,43,43,43,31,51,49,54,51,25,28,47,25,24,47,46,50,38,59}

{24,55,46,57,25,37,38,33,53,33,36,21,50,48,53,34,40,59,31,43,52,34,50,50,31,30,47,41,22,59,56,34,23,44,43,56,30,29,50,20,48,46,56,48,48,48,28,51,38,34}

{5,7,16,15,6,20,6,2,13,3,3,8,16,7,19,5,9,16,19,19,10,10,5,19,7,19,13,15,6,15,15,16,19,4,6,11,15,19,12,6,3,4,10,20,7,15,7,6,2,17}

{6,17,17,13,10,18,9,7,8,15,8,11,19,15,14,16,20,11,17,17,17,8,19,10,15,9,2,18,11,19,11,2,17,4,5,8,12,15,2,9,10,10,7,19,11,19,7,19,19,4}

180

57

64

Returns: 0.004010720150365774
{31,32,41,41,31,58,30,50,33,29,56,49,58,46,60,35,27,50,37,60,55,43,42,50,49,20,32,39,39,25,28,53,27,45,57,21,36,27,43,37,46,32,51,59,49,21,46,50,39,60}

{22,50,46,22,59,57,45,40,46,42,60,30,60,20,21,27,49,37,32,53,30,60,48,21,37,58,46,49,45,34,23,25,44,27,35,25,39,29,26,51,34,30,27,33,40,35,34,38,41,34}

{5,2,16,18,6,12,19,9,17,7,11,5,2,7,3,18,6,7,10,3,16,20,5,5,18,3,12,14,9,14,5,5,18,17,14,11,16,8,20,5,14,3,11,17,12,2,15,9,8,10}

{12,12,17,14,20,16,12,10,15,9,2,20,2,3,3,5,7,2,9,3,15,8,20,16,10,6,11,11,12,18,19,20,12,18,3,14,15,12,18,9,8,4,2,20,2,3,20,10,16,14}

180

51

45

Returns: 0.9933009352449537
{31,20,49,48,30,42,41,24,39,27,44,23,24,21,40,51,39,41,35,25,44,58,26,32,32,30,47,27,48,46,39,28,40,37,46,28,60,28,35,29,32,52,28,31,46,33,42,51,56,39}

{26,21,43,20,40,28,32,60,22,50,30,47,26,60,25,36,37,39,45,40,44,29,39,60,25,22,45,46,49,35,38,30,57,45,50,34,37,29,26,58,60,40,40,51,44,36,52,32,47,41}

{20,5,13,5,20,11,18,4,2,2,2,10,8,7,8,5,4,2,17,9,11,16,14,14,7,14,9,16,5,20,15,11,11,8,12,16,18,7,10,11,16,19,5,16,10,12,13,13,8,16}

{2,20,12,17,8,15,11,20,20,6,2,12,17,9,4,19,14,5,9,12,12,6,9,16,13,5,9,13,7,2,9,15,20,15,20,3,14,11,13,2,16,2,9,2,17,14,6,8,13,20}

180

45

46

Returns: 0.41374509822431227
{60,42,39,51,38,21,39,29,27,47,43,25,41,39,23,29,51,29,41,43,22,59,31,33,53,38,56,44,46,21,58,60,36,26,31,40,54,51,38,42,54,33,58,56,54,33,58,52,36,38}

{59,37,24,28,52,25,52,39,28,39,41,37,27,31,48,33,46,21,42,36,51,43,47,34,48,28,29,22,50,50,36,23,60,43,20,59,30,32,56,39,25,30,24,60,32,21,42,44,29,55}

{12,2,13,15,16,15,13,5,19,18,8,10,13,15,13,5,14,20,11,12,13,4,11,13,18,16,15,8,6,13,19,7,11,17,18,2,11,12,9,5,6,15,2,9,7,10,17,20,19,9}

{15,20,8,7,8,8,2,9,4,14,4,18,20,9,9,17,16,6,4,14,20,3,6,6,16,9,15,12,6,9,16,20,12,3,5,13,3,6,15,13,2,4,12,19,9,4,8,4,9,17}

180

89

80

Returns: 1.0
{60,57,46,60,41,44,40,21,38,50,46,49,33,34,39,42,58,55,51,28,48,49,24,39,36,49,58,53,35,44,21,52,28,55,34,50,57,49,30,55,45,43,37,57,32,24,52,30,38,30}

{37,28,60,25,35,57,33,47,30,40,35,24,48,40,33,24,50,51,59,55,56,37,29,27,32,34,51,49,30,49,37,28,51,56,40,33,55,23,59,24,58,45,31,25,45,22,47,38,23,60}

{3,14,19,17,13,18,16,12,7,7,16,20,19,7,16,11,14,11,5,11,17,15,8,14,4,12,7,9,5,9,6,17,8,18,2,19,10,20,8,7,11,13,8,17,14,14,18,11,11,3}

{13,8,7,20,17,10,5,7,4,15,4,15,14,4,5,4,7,20,2,11,12,10,7,10,7,13,11,9,4,19,19,11,19,2,8,3,7,5,17,12,17,7,14,18,8,8,13,6,9,13}

180

6

13

Returns: 0.004665105094684716
{43,25,41,54,48,37,30,45,38,27,26,47,36,32,60,27,41,52,35,20,36,23,53,45,52,27,36,27,59,59,43,51,32,41,52,52,49,33,35,32,59,26,31,20,23,59,28,28,51,53}

{55,45,23,52,39,41,51,59,32,31,50,21,52,58,49,55,52,30,57,40,32,47,43,26,51,39,33,47,50,28,32,53,46,39,53,21,43,52,47,54,45,23,45,26,53,45,26,51,47,24}

{9,19,15,19,11,4,14,14,5,4,9,8,6,18,10,6,12,20,9,12,3,18,19,13,3,14,5,10,9,13,10,14,12,5,10,13,20,14,7,19,5,18,5,20,3,10,4,13,20,18}

{16,19,5,18,3,14,4,6,9,4,14,18,19,14,14,20,2,11,2,19,6,13,13,12,3,13,15,2,15,15,9,7,16,3,12,5,12,20,3,5,13,17,4,5,7,2,10,13,15,17}

180

62

65

Returns: 0.18582423148303792
{47,27,35,23,55,26,26,39,32,58,59,55,34,22,29,34,59,23,22,60,43,45,50,25,54,30,25,33,50,42,60,43,43,57,50,35,31,51,29,36,40,53,33,26,52,32,33,31,43,41}

{53,58,58,53,56,23,32,20,35,48,51,42,31,34,39,36,30,48,22,59,48,37,21,30,24,36,35,54,20,24,24,30,27,25,23,58,53,56,47,58,28,32,42,40,48,24,41,33,28,59}

{9,15,6,9,3,7,12,5,14,7,7,4,4,17,4,2,9,13,10,20,5,18,10,8,6,15,3,3,14,5,6,17,4,4,11,19,9,19,10,12,10,11,14,3,6,20,17,14,3,11}

{9,19,11,6,10,2,4,20,8,10,8,18,11,11,2,3,3,12,4,19,4,3,9,10,5,11,18,17,10,4,15,3,11,11,19,20,8,8,2,7,15,6,9,4,2,9,7,2,3,19}

180

75

76

Returns: 0.42499260668888866
{52,48,35,45,23,41,52,50,52,32,35,58,60,39,46,20,55,38,31,58,58,48,39,53,37,47,36,28,32,52,21,52,50,60,53,48,52,50,29,57,53,35,27,26,38,24,55,35,38,36}

{47,37,30,24,28,30,25,36,28,28,37,24,50,33,36,43,54,59,51,33,36,29,45,60,42,48,42,21,53,31,38,54,49,55,35,60,59,27,54,37,57,23,39,38,22,25,20,60,25,54}

{11,7,2,8,16,15,7,11,6,16,15,16,3,13,15,3,7,12,9,18,11,9,19,15,2,13,12,2,4,16,19,8,3,9,3,9,10,5,5,12,2,19,4,13,10,16,17,9,3,20}

{11,17,16,18,13,8,9,16,11,13,20,7,13,9,15,15,7,16,7,17,16,11,9,7,16,12,3,4,12,5,10,4,11,19,4,13,11,19,18,10,2,14,8,2,4,12,8,7,2,20}

180

12

2

Returns: 1.0
{26,24,40,25,28,32,37,36,45,59,58,38,45,39,59,45,47,20,22,51,32,55,48,60,33,25,37,30,32,54,36,35,59,32,23,41,58,22,28,36,53,46,26,30,56,51,20,57,57,51}

{33,34,34,60,52,20,31,51,38,30,45,34,29,23,49,54,47,53,28,32,56,37,54,59,34,42,24,54,54,30,49,26,35,58,27,41,42,39,38,45,49,25,28,29,57,31,34,56,46,53}

{8,6,17,15,9,20,7,19,2,8,3,18,8,9,6,11,10,15,10,13,14,8,18,10,18,5,3,19,16,5,18,9,5,16,10,19,19,14,5,15,12,2,20,4,12,11,12,7,12,12}

{11,4,11,2,3,2,6,10,14,11,14,3,9,18,19,18,11,6,14,14,10,13,19,7,12,11,2,4,14,10,3,20,7,17,5,10,19,2,13,18,11,15,7,11,4,16,9,13,5,3}

180

25

27

Returns: 0.1648066034434377
{58,45,27,24,58,45,42,24,56,53,39,51,53,25,52,51,25,25,39,23,54,60,60,24,23,29,30,52,60,27,20,60,31,42,51,44,20,36,47,23,55,23,32,43,55,31,20,30,20,38}

{21,34,27,47,47,38,42,30,23,59,37,57,54,60,38,36,20,49,41,41,50,42,60,45,60,48,33,58,26,45,32,38,48,28,45,28,28,47,58,49,32,39,59,57,28,34,24,36,50,29}

{11,19,2,17,9,3,7,5,11,11,12,16,15,16,4,2,2,16,9,19,13,3,20,7,2,13,17,4,6,19,14,16,15,6,5,15,11,16,15,20,7,2,12,8,2,16,2,10,12,3}

{2,19,4,8,15,18,19,7,20,4,14,17,17,10,6,10,6,13,18,6,4,9,15,14,14,14,4,10,5,6,4,18,8,12,6,19,14,15,20,4,3,16,7,10,11,17,2,4,16,11}

180

15

18

Returns: 0.18427586755983363
{36,60,25,34,54,33,51,47,55,58,33,47,34,42,22,53,27,26,28,39,59,46,49,44,41,20,43,32,51,52,55,39,44,57,37,47,31,36,21,40,43,55,43,38,22,59,39,43,44,54}

{26,28,25,34,51,47,31,36,44,58,29,24,53,53,32,38,52,21,21,57,29,40,54,48,41,46,36,29,58,33,38,60,30,21,21,55,48,53,39,60,40,25,45,36,34,46,39,46,39,35}

{17,8,9,13,15,6,8,20,16,12,20,5,11,6,15,5,12,14,2,7,14,6,11,11,10,17,10,20,11,10,19,3,13,5,20,19,20,5,17,15,12,16,20,15,3,13,12,20,14,2}

{2,11,7,18,10,14,15,7,4,11,7,18,3,11,9,16,15,17,7,15,17,20,9,5,14,9,18,14,7,12,11,20,15,12,5,20,8,10,5,5,8,11,15,20,6,19,6,8,5,19}

180

76

78

Returns: 0.18769301887956885
{59,58,31,27,60,33,59,39,27,36,52,34,21,53,29,43,26,49,42,40,48,41,46,23,27,29,52,47,49,28,57,21,55,42,20,56,57,30,53,57,57,34,33,58,27,50,44,57,26,30}

{28,37,38,29,42,49,40,20,22,30,48,44,59,60,22,43,49,52,31,57,48,56,35,48,52,35,30,53,30,28,32,32,51,54,60,23,35,28,38,35,43,21,45,39,47,35,37,20,60,21}

{6,10,9,16,20,19,4,9,3,12,15,5,2,14,4,10,13,7,9,12,12,14,9,11,13,17,15,9,17,19,3,9,19,16,13,18,18,11,20,2,3,20,16,13,10,17,13,18,18,2}

{15,4,19,12,7,14,3,5,20,17,10,5,3,9,2,13,15,8,6,20,6,4,15,2,5,11,17,10,13,18,4,5,5,18,15,10,14,3,15,2,20,5,12,18,10,13,3,9,2,20}

180

69

60

Returns: 1.0
{44,59,31,23,20,49,51,49,27,27,58,31,55,42,46,43,43,27,60,55,43,57,48,55,26,51,27,40,27,31,21,57,56,47,29,21,25,46,30,49,60,37,26,47,49,32,21,22,28,58}

{57,48,41,31,38,29,58,43,46,30,24,21,57,36,49,24,43,43,22,25,31,38,29,37,57,22,32,56,56,25,24,35,32,46,27,20,41,41,30,58,52,31,25,54,43,48,24,47,41,48}

{2,14,20,2,6,18,20,8,3,5,8,6,10,19,13,11,18,12,7,11,6,17,10,8,8,17,19,13,10,9,2,9,12,19,10,18,5,18,2,19,8,8,11,12,10,5,7,2,12,10}

{4,20,13,11,7,12,17,16,7,18,18,16,15,7,11,20,6,17,16,6,7,8,11,5,16,7,16,9,15,14,4,3,18,3,4,9,8,11,7,9,8,5,20,11,10,9,19,14,15,2}

180

73

73

Returns: 0.46023126098410294
{34,27,35,46,39,24,35,29,29,36,48,57,45,54,58,55,54,56,30,51,44,27,47,35,44,29,55,30,20,54,54,57,26,37,39,32,36,37,53,37,22,31,41,29,26,41,49,49,53,21}

{48,34,23,33,33,20,34,44,27,58,35,20,33,43,60,24,52,59,47,34,57,23,60,49,25,27,58,29,56,31,25,51,20,44,58,32,31,33,56,56,33,27,38,28,42,59,29,56,22,56}

{8,9,9,19,10,16,9,8,15,12,13,9,6,18,17,9,12,6,8,18,5,14,7,3,9,4,4,18,11,20,20,7,15,10,5,16,11,13,16,12,17,15,19,20,6,5,17,6,4,14}

{15,4,2,18,9,13,9,5,12,13,16,17,2,3,5,2,10,15,15,11,3,9,17,3,9,20,3,12,12,10,15,7,2,11,3,11,16,19,17,12,4,8,19,2,19,8,4,4,17,20}

180

83

77

Returns: 0.9907268771446173
{27,50,59,59,24,39,40,40,56,47,39,45,57,35,35,50,57,37,21,49,40,27,38,31,24,22,47,35,44,52,46,35,23,30,33,20,27,38,40,41,47,49,51,53,24,59,38,32,48,34}

{49,31,44,27,58,57,29,52,52,51,28,40,39,30,31,55,36,29,53,39,51,41,52,29,21,57,37,37,59,27,49,34,60,39,20,32,50,50,24,57,45,24,20,59,43,53,35,56,59,20}

{15,6,15,10,20,8,18,6,11,19,12,2,10,3,14,5,3,2,12,15,10,18,11,6,12,3,15,10,17,16,17,9,7,14,15,20,5,10,7,5,19,13,17,9,19,11,17,5,4,18}

{8,2,13,18,14,13,2,5,7,2,13,20,12,11,12,20,10,11,19,14,7,16,14,6,4,5,12,13,11,8,20,20,13,8,4,2,3,11,8,20,18,19,15,18,10,7,11,9,16,20}

180

36

41

Returns: 0.035670801126284596
{53,32,43,20,53,58,23,56,40,29,46,43,25,26,25,51,43,20,29,60,57,48,34,29,28,34,37,34,30,53,28,26,37,39,33,50,33,37,36,55,37,57,39,38,42,41,21,34,40,41}

{24,40,40,35,55,41,33,25,26,52,39,53,43,57,25,46,25,56,46,30,46,21,40,60,36,33,32,49,23,49,32,51,29,29,35,60,40,37,29,50,29,60,56,54,31,23,49,32,28,39}

{11,8,16,18,12,4,2,11,11,13,9,4,7,10,10,18,19,3,17,13,20,4,4,15,12,16,17,11,8,2,15,14,3,13,13,20,16,3,18,14,4,5,12,9,9,16,7,20,13,5}

{18,2,13,10,19,13,13,12,20,9,13,12,14,9,17,2,18,3,16,12,11,16,17,7,5,16,14,19,6,19,11,11,12,16,7,6,19,17,3,18,9,10,18,5,10,9,9,17,6,17}

180

69

70

Returns: 0.4447114655006103
{23,49,48,34,45,26,27,31,32,56,34,57,57,27,35,60,44,45,28,43,22,51,32,48,22,35,39,40,21,36,58,43,31,21,25,45,35,51,22,31,34,32,55,37,25,28,58,58,56,45}

{60,55,24,25,56,38,59,34,58,39,40,56,49,51,60,31,29,43,51,43,28,24,36,56,35,34,51,29,25,42,59,47,24,24,31,52,59,59,48,49,58,42,36,54,45,42,46,60,22,32}

{20,19,13,19,5,12,13,4,19,4,13,15,2,18,11,12,13,9,19,10,10,12,5,19,13,9,13,6,11,19,2,6,17,17,11,7,4,7,14,8,20,6,15,12,5,10,4,8,6,4}

{7,7,11,7,3,5,14,15,12,8,6,13,10,17,15,4,12,4,2,7,20,7,19,4,19,8,11,20,19,9,10,19,14,3,17,16,15,8,15,3,11,6,18,8,10,5,20,16,12,19}

300

12

12

Returns: 0.4093399690791083
{41,47,47,20,28,24,33,29,23,31,48,30,60,28,36,53,38,37,26,32,26,51,33}

{43,20,51,59,39,24,25,31,29,24,44,37,28,52,42,41,40,53,29,27,22,58,37}

{10,15,14,19,6,7,5,16,20,19,12,16,5,6,10,15,19,10,2,20,14,15,13}

{8,3,8,16,5,9,13,4,6,11,8,5,4,7,13,6,10,15,5,4,8,2,3}

300

80

77

Returns: 0.726788486703416
{45,50,21,20,22,53,34,45,21,55,31,23,52,20,40,47,38,32,54,59,37,58,37}

{27,40,21,58,25,52,57,43,40,28,48,55,44,20,48,36,22,28,39,38,58,32,39}

{7,16,16,8,15,19,20,15,9,16,4,8,3,19,12,2,14,12,9,6,8,3,2}

{7,17,6,8,4,14,14,10,6,19,12,2,9,11,19,4,3,15,6,12,19,3,8}

300

40

37

Returns: 0.7789264154054888
{30,29,22,39,20,50,60,36,33,34,27,41,28,32,54,36,42,31,25,47,26,51,44}

{25,40,58,44,56,50,56,42,54,38,20,39,39,56,39,33,58,50,25,41,40,32,46}

{12,17,17,2,17,5,7,3,3,14,4,4,15,18,14,15,14,5,18,12,11,12,5}

{19,7,7,20,2,3,14,2,9,9,14,16,9,19,20,6,8,17,15,4,15,6,13}

300

87

84

Returns: 0.7458491649794542
{38,54,35,48,49,59,23,29,50,24,27,35,37,43,26,36,48,25,21,34,59,57,25}

{30,49,58,34,25,23,36,26,34,58,60,46,57,20,40,28,58,23,21,31,27,30,44}

{5,7,4,11,5,9,15,9,2,18,19,11,4,13,8,16,19,4,12,11,5,18,13}

{10,2,4,11,12,20,10,7,2,19,18,20,8,9,10,15,6,12,12,7,9,20,14}

300

92

95

Returns: 0.28774128884318817
{44,53,52,47,20,42,33,39,20,26,45,40,39,37,36,26,57,44,32,30,27,38,20}

{39,40,37,27,43,43,34,35,21,60,57,26,55,58,32,26,46,59,35,39,33,46,22}

{17,4,3,7,6,14,20,14,4,13,10,11,2,17,7,10,18,7,16,7,13,9,18}

{12,9,3,19,18,5,16,14,13,12,18,16,13,20,16,5,2,4,4,20,6,10,20}

300

9

12

Returns: 0.2564826480534824
{41,30,36,40,46,46,44,51,37,31,39,39,37,59,23,22,46,43,32,37,40,25,33}

{32,56,51,46,53,27,21,23,40,54,44,43,38,53,27,27,54,30,46,36,37,49,24}

{9,12,18,3,11,10,17,5,19,9,13,19,5,13,4,2,14,4,3,13,2,17,5}

{6,7,5,3,4,19,10,7,3,3,13,19,16,19,2,20,7,14,3,13,20,12,12}

300

9

9

Returns: 0.4987788480182374
{20,50,44,34,26,23,55,30,47,57,48,51,57,44,58,46,29,33,37,44,40,42,30}

{34,56,55,56,39,44,48,32,35,31,45,50,25,51,37,41,49,55,33,34,32,60,44}

{9,18,15,8,14,9,12,13,18,4,11,7,19,20,12,14,6,5,5,2,20,6,2}

{7,2,19,2,12,2,12,11,17,17,19,10,3,12,5,8,15,15,11,13,17,15,6}

300

25

26

Returns: 0.4194074906581274
{26,26,23,29,57,28,41,45,30,45,40,43,40,58,56,36,27,25,20,51,31,46,24}

{60,55,20,39,25,48,48,42,53,30,48,41,28,47,43,57,32,24,22,33,36,54,38}

{9,15,4,13,12,11,16,14,18,16,13,7,12,2,11,15,7,6,4,2,8,19,20}

{15,17,5,20,11,18,19,13,5,15,15,2,10,13,13,8,19,9,14,4,11,2,11}

300

52

44

Returns: 0.8898035564216058
{55,23,47,43,34,53,26,48,59,54,57,54,21,23,27,33,59,21,45,55,47,47,31}

{28,57,56,49,21,32,51,57,46,60,57,40,50,45,42,38,57,52,51,44,58,37,26}

{18,18,20,8,10,13,15,11,11,4,15,6,13,3,11,4,19,5,7,10,13,11,16}

{12,10,2,8,14,4,4,5,15,8,15,16,9,10,9,4,10,10,17,18,2,12,11}

300

14

8

Returns: 0.9065446019710741
{51,58,25,46,47,53,29,37,54,56,38,24,56,29,28,24,25,32,44,45,32,54,49}

{55,24,48,39,22,35,47,25,57,57,26,53,54,34,55,47,37,33,36,34,41,37,33}

{5,12,7,20,19,11,14,2,11,4,7,2,18,12,9,15,11,18,13,6,11,2,12}

{12,8,5,11,18,5,18,20,5,20,8,7,15,16,19,13,6,4,16,12,14,13,14}

300

77

78

Returns: 0.4700678663419652
{46,56,40,38,24,28,30,39,21,31,40,58,29,49,48,54,52,21,34,59,25,50,59}

{36,34,31,53,41,42,44,25,44,56,22,34,46,55,51,35,54,20,36,43,34,60,20}

{18,8,10,14,2,16,15,8,3,8,12,8,11,2,8,16,18,11,9,10,10,18,17}

{6,9,2,9,17,13,8,19,14,17,8,15,3,8,16,12,18,17,2,3,11,4,17}

300

13

8

Returns: 0.9355233496932868
{41,54,29,59,28,28,34,50,30,22,37,59,37,53,21,39,56,40,20,28,49,48,57}

{33,50,31,38,21,33,54,46,50,51,41,50,53,41,20,44,29,56,37,25,38,34,47}

{3,20,8,12,13,19,2,9,17,13,9,12,6,12,14,8,4,9,15,15,17,13,16}

{4,4,5,11,13,4,12,18,18,17,19,7,15,12,12,20,15,10,4,4,3,8,2}

300

89

92

Returns: 0.3862984108896498
{21,51,38,42,35,46,38,38,39,22,37,45,39,34,45,59,45,39,40,60,42,58,34}

{59,39,60,35,33,35,46,45,34,39,57,52,55,21,58,52,52,58,48,24,40,41,36}

{7,11,6,13,4,19,16,15,19,8,7,14,10,18,7,11,16,12,12,12,10,6,3}

{12,9,6,4,17,6,3,5,11,2,5,12,14,14,3,7,19,14,10,5,14,6,19}

300

82

86

Returns: 0.1374536185132702
{50,20,46,38,55,32,60,21,38,27,28,43,56,60,42,26,54,58,58,34,49,25,45}

{33,55,51,34,58,52,33,25,53,28,25,52,34,60,47,35,32,59,34,26,31,22,51}

{16,19,6,18,6,3,12,13,17,16,18,9,6,2,2,6,6,4,13,7,12,17,11}

{6,13,14,8,4,18,17,6,2,11,18,19,17,16,13,13,10,10,17,17,20,7,14}

300

78

85

Returns: 0.08127236325673796
{36,55,32,33,34,35,41,43,51,39,41,21,52,46,33,41,20,35,20,39,39,36,42}

{28,54,36,39,22,53,53,46,42,59,33,38,40,29,27,58,53,42,39,57,33,40,53}

{2,9,9,7,11,12,3,17,9,8,9,20,19,11,20,17,6,17,18,12,14,16,4}

{5,10,11,20,2,15,14,12,7,15,7,7,9,4,9,8,16,7,7,14,2,6,7}

300

96

88

Returns: 0.9105590321422845
{30,22,27,33,34,36,25,33,44,41,21,55,50,57,50,46,37,53,41,35,36,31,47}

{60,44,45,43,21,22,57,23,52,29,22,48,50,22,22,21,21,23,36,35,36,48,44}

{15,5,7,3,8,19,7,11,3,12,2,19,18,8,18,19,5,6,9,16,13,12,2}

{13,16,13,20,8,5,14,19,16,14,4,17,17,15,15,16,14,19,15,9,9,6,13}

300

21

21

Returns: 0.3907546457491758
{60,55,42,29,40,50,21,56,39,24,44,40,47,47,56,48,37,31,22,46,53,26,30}

{50,34,33,29,51,58,50,40,21,25,39,36,35,32,39,32,44,57,52,55,20,47,45}

{4,20,2,15,10,15,7,17,11,13,10,7,19,9,11,19,8,7,16,16,3,14,7}

{16,13,17,10,8,2,5,16,12,16,7,13,20,19,17,8,12,20,3,16,10,12,3}

300

16

22

Returns: 0.08914753657240274
{24,48,39,59,42,50,48,21,27,60,57,44,49,46,46,57,21,49,36,43,60,31,20}

{29,24,50,21,28,30,32,45,20,48,39,22,49,46,37,38,42,27,56,29,50,57,20}

{16,2,2,8,11,13,14,14,4,8,5,10,7,16,6,14,4,8,7,13,8,17,16}

{5,12,7,3,18,11,13,10,18,11,16,12,20,7,11,11,6,8,5,11,18,19,4}

300

10

8

Returns: 0.690902964683045
{23,44,55,42,24,39,32,28,40,27,42,24,20,24,55,30,22,39,31,37,22,51,48}

{25,57,51,48,39,36,24,51,49,40,37,35,41,57,54,45,54,25,49,22,20,28,30}

{10,2,6,20,6,11,13,15,19,9,7,11,20,13,7,17,12,20,16,6,17,5,13}

{8,14,11,19,14,8,14,15,3,8,19,20,12,13,14,14,10,19,15,17,19,5,13}

300

22

27

Returns: 0.14806082171564397
{27,37,28,38,55,30,31,31,48,52,52,42,59,28,38,45,59,54,56,51,53,55,53}

{57,55,21,39,60,30,37,57,41,25,56,52,34,24,44,36,59,59,44,54,30,39,41}

{3,11,16,12,12,7,16,7,13,10,9,11,19,7,3,14,16,19,19,4,8,11,13}

{2,6,13,15,11,14,3,2,9,6,16,3,18,8,14,4,11,16,3,5,11,2,14}

300

22

25

Returns: 0.27945478659756423
{5,8,10,13,15,20,25,30,35,40,41,42,42,43,44,46,45,45,46,47,48,48,48}

{5,8,10,13,15,20,25,30,35,40,41,42,42,43,44,46,45,45,46,47,48,48,48}

{10,11,12,13,14,15,16,17,18,18,18,18,19,20,20,18,18,17,16,15,15,14,13}

{10,11,12,13,14,15,16,17,18,18,18,18,19,20,20,18,18,17,16,15,15,14,13}

300

89

98

Returns: 0.010792332158302477
{100}

{100}

{100}

{100}

299

100

100

Returns: 1.0
{100}

{100}

{100}

{100}

300

100

100

Returns: 0.0
{17, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3 }

{17, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3 }

{17, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3 }

{17, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3, 41, 21, 41, 63, 23, 63, 67, 91, 21, 3 }

300

0

0

Returns: 0.5017933656540992
{32, 32, 54, 12, 52, 56, 8, 30, 44, 94, 44, 39, 65, 19, 51, 91, 1, 5, 89, 34, 25, 58, 20, 51, 38, 65, 30, 7, 20, 10, 51, 18, 43, 71, 97, 61, 26, 5, 57, 70, 65, 0, 75, 29, 86, 93, 87, 87, 64, 75 }

{88, 89, 100, 7, 40, 37, 38, 36, 44, 24, 46, 95, 43, 89, 32, 5, 15, 58, 77, 72, 95, 8, 38, 69, 37, 24, 27, 90, 77, 92, 31, 30, 80, 30, 37, 86, 33, 76, 21, 77, 100, 68, 37, 8, 22, 69, 81, 38, 94, 57 }

{76, 54, 65, 14, 89, 69, 4, 16, 24, 47, 7, 21, 78, 53, 17, 81, 39, 50, 22, 60, 93, 89, 94, 30, 97, 16, 65, 43, 20, 24, 67, 62, 78, 98, 42, 67, 32, 46, 49, 57, 60, 56, 44, 37, 75, 62, 17, 13, 11, 40 }

{40, 4, 95, 100, 0, 57, 82, 31, 0, 1, 56, 67, 30, 100, 64, 72, 66, 63, 18, 81, 19, 44, 2, 63, 81, 78, 91, 64, 91, 2, 70, 97, 73, 64, 97, 39, 21, 78, 70, 21, 46, 25, 54, 76, 92, 84, 47, 57, 46, 31 }

300

100

100

Returns: 0.3492966910592574
{51 }

{50 }

{37 }

{38 }

300

100

100

Returns: 0.5117187891293529
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 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, 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, 50 }

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 }

300

1

0

Returns: 0.7057571941893207
{20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }

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

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

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

300

50

50

Returns: 0.377819763154806
{99 }

{1 }

{100 }

{0 }

300

100

0

Returns: 1.0
{100 }

{100 }

{0 }

{0 }

4

0

0

Returns: 0.0
{99 }

{1 }

{99 }

{1 }

300

100

0

Returns: 1.0
{10, 20, 30, 40 }

{10, 20, 30, 40 }

{1, 2, 3, 4 }

{1, 2, 3, 4 }

1

0

0

Returns: 0.0

Statistics

Problem Statement for "ClockManagement"

Problem Statement

Definition

Notes

Constraints

Examples