SAG/solvers.py at master · Attil/SAG · GitHub

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
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
from __future__ import division
from collections import Counter, defaultdict
from math import factorial

from solver import SolverAgent

def binomial_coeff(a, b):
    return factorial(a) / (factorial(a-b) * factorial(b))

class PairAgent(SolverAgent):
    def solve(self, cards):
        if len(cards) > 7:
            return -1  # Error

        cards = [card.split(':')[1] for card in cards]

        if len(cards) != len(set(cards)):
            return 1  # There is already a pair

        got = len(cards)
        left = 7 - got

        bad = (4 ** left) * factorial(13-got) * factorial(52-7)
        bad /= factorial(52-got) * factorial(13-7)

        return 1-bad


class TripleAgent(SolverAgent):
    def solve(self, cards):
        got = len(cards)

        if got > 7:
            return -1

        cards = [card.split(':')[1] for card in cards]

        figures = defaultdict(int)
        for card in cards:
            figures[card] += 1
            if figures[card] >= 3:
                return 1  # There is already a triple

        possible = 0

        for figure, num in figures.items():
            if num == 2:
                if 7 - got >= 1:  # Need one more draw
                    possible += binomial_coeff(2, 1) * binomial_coeff(52 - got - 1, 7 - got - 1)  # Out of the remaining two colors, choose one
            if num == 1:
                if 7 - got >= 2:
                    possible += binomial_coeff(3, 2) * binomial_coeff(52 - got - 2, 7 - got - 2)

        if 7-got >= 3:
            for i in range(13-len(figures.keys())):
                possible += binomial_coeff(4, 3) * binomial_coeff(52 - got - 3, 7 - got - 3)


        return possible / binomial_coeff(52 - got, 7 - got)


class QuadrupleAgent(SolverAgent):
    def solve(self, cards):
        got = len(cards)

        if got > 7:
            return -1

        cards = [card.split(':')[1] for card in cards]

        figures = defaultdict(int)
        for card in cards:
            figures[card] += 1
            if figures[card] >= 4:
                return 1  # There is already a triple

        possible = 0

        for figure, num in figures.items():
            if num == 3:
                if 7 - got >= 1:  # Need one more draw
                    possible += binomial_coeff(52 - got - 1, 7 - got - 1)  # Out of the remaining two colors, choose one
            if num == 2:
                if 7 - got >= 2:
                    possible += binomial_coeff(52 - got - 2, 7 - got - 2)
            if num == 1:
                if 7 - got >= 3:
                    possible += binomial_coeff(52 - got - 3, 7 - got - 3)

        if 7-got >= 4:
            for i in range(13-len(figures.keys())):
                possible += binomial_coeff(52 - got - 4, 7 - got - 4)


        return possible / binomial_coeff(52 - got, 7 - got)


class RoyalFlushAgent(SolverAgent):
    def solve(self, cards):
        got = len(cards)

        if got > 7:
            return -1  # Error

        cards = [card.split(':') for card in cards]

        colors = defaultdict(list)
        for card in cards:
            colors[card[0]].append(card[1])

        required = {'a', 'k', 'q', 'j', '10'}

        possible = 0

        for color in colors.values():
            lack = 5-len(required.intersection(color))
            if lack <= 7 - got:
                possible += binomial_coeff(52 - got - lack, 7 - got - lack) * factorial(7 - got - lack)

        return possible / binomial_coeff(52 - got, 7 - got)


if __name__ == '__main__':
    pair = PairAgent("pair@127.0.0.1", "secret")
    pair.start()
    triple = TripleAgent("triple@127.0.0.1", "secret")
    triple.start()
    four = QuadrupleAgent("four@127.0.0.1", "secret")
    four.start()
    royal_flush = RoyalFlushAgent("royal_flush@127.0.0.1", "secret")
    royal_flush.start()
    try:
    	while True:
    		pass
    except KeyboardInterrupt:
    	pair.stop()
        triple.stop()
        four.stop()
        royal_flush.stop()