32 lines
702 B
Python
32 lines
702 B
Python
from functools import lru_cache
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@lru_cache()
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def block_combinations(row_length: int, block_length: int = 3):
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if row_length < 0:
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return 0
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if row_length == 0:
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return 1
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result = block_combinations(row_length - 1, block_length)
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result += block_combinations(row_length - block_length, block_length)
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return result
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def solve(row_length: int):
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r = block_combinations(row_length, 2) - 1
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r += block_combinations(row_length, 3) - 1
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r += block_combinations(row_length, 4) - 1
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return r
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def euler_116():
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return solve(50)
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if __name__ == "__main__":
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solution = euler_116()
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print("e116.py: " + str(solution))
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assert(solution == 20492570929)
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