40 lines
758 B
Python
Executable File
40 lines
758 B
Python
Executable File
from fractions import Fraction
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from functools import lru_cache
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C = 60
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def parallel(a, b):
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return Fraction(a * b, a + b)
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def series(a, b):
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return a + b
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@lru_cache()
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def caps(n):
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if n == 1:
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return set([C])
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cs = set()
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for size_a in range(1, (n // 2) + 1):
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size_b = n - size_a
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for a in caps(size_a):
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for b in caps(size_b):
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cs.add(a)
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cs.add(parallel(a, b))
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cs.add(series(a, b))
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return cs
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def euler_155():
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assert len(caps(1)) == 1
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assert len(caps(2)) == 3
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assert len(caps(3)) == 7
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return len(caps(18))
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if __name__ == "__main__":
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solution = euler_155()
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print("e155.py: " + str(solution))
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assert solution == 3857447 |