19 lines
495 B
Python
19 lines
495 B
Python
#!/usr/bin/env python3
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from fractions import Fraction
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def search(turns, wins=0, discs=2, cache={}):
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if discs - 2 == turns:
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return 2* wins > turns
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if turns // 2 - wins > turns - discs + 1:
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return 0
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if (discs, wins) in cache:
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return cache[(discs, wins)]
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r = Fraction(1, discs) * search(turns, wins+1, discs+1)
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r += Fraction(discs-1, discs) * search(turns, wins, discs+1)
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cache[(discs, wins)] = r
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return r
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N = 15
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print(int(search(N)**(-1)))
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