39 lines
864 B
Python
39 lines
864 B
Python
#!/usr/bin/env python3
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# It is possible to write five as a sum in exactly six different ways:
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#
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# 4 + 1
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# 3 + 2
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# 3 + 1 + 1
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# 2 + 2 + 1
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# 2 + 1 + 1 + 1
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# 1 + 1 + 1 + 1 + 1
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#
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# How many different ways can one hundred be written as a sum of at least two positive integers?*/
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from timeit import default_timer
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from projecteuler import partition_fn
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def main():
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start = default_timer()
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partitions = [0] * 101
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# The number of ways a number can be written as a sum is given by the partition function
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# (-1 because the partition function includes also the number itself).
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# The function is implemented in projecteuler.py.
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n = partition_fn(100, partitions) - 1
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end = default_timer()
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print('Project Euler, Problem 76')
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print(f'Answer: {n}')
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print(f'Elapsed time: {end - start:.9f} seconds')
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if __name__ == '__main__':
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main()
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