29 lines
705 B
Python
29 lines
705 B
Python
from functools import lru_cache
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@lru_cache()
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def block_combinations(row_length: int, min_block_length: int = 3):
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if row_length == 0:
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return 1
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result = 0
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result = block_combinations(row_length - 1, min_block_length)
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for new_block in range(min_block_length, row_length):
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result += block_combinations(row_length - new_block - 1, min_block_length)
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if row_length >= min_block_length:
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result += 1
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return result
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def euler_115():
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for n in range(1000):
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if block_combinations(n, 50) > 10**6:
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return n
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return -1
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if __name__ == "__main__":
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solution = euler_115()
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print("e115.py: " + str(solution))
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assert(solution == 168)
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