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d96029e13d
* added doctests * added doctests * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Add doctests to integer_partition.py * Update minimum_partition.py --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Christian Clauss <cclauss@me.com>
77 lines
1.6 KiB
Python
77 lines
1.6 KiB
Python
"""
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Partition a set into two subsets such that the difference of subset sums is minimum
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"""
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def find_min(numbers: list[int]) -> int:
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"""
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>>> find_min([1, 2, 3, 4, 5])
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1
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>>> find_min([5, 5, 5, 5, 5])
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5
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>>> find_min([5, 5, 5, 5])
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0
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>>> find_min([3])
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3
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>>> find_min([])
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0
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>>> find_min([1, 2, 3, 4])
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0
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>>> find_min([0, 0, 0, 0])
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0
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>>> find_min([-1, -5, 5, 1])
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0
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>>> find_min([-1, -5, 5, 1])
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0
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>>> find_min([9, 9, 9, 9, 9])
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9
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>>> find_min([1, 5, 10, 3])
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1
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>>> find_min([-1, 0, 1])
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0
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>>> find_min(range(10, 0, -1))
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1
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>>> find_min([-1])
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Traceback (most recent call last):
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--
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IndexError: list assignment index out of range
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>>> find_min([0, 0, 0, 1, 2, -4])
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Traceback (most recent call last):
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...
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IndexError: list assignment index out of range
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>>> find_min([-1, -5, -10, -3])
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Traceback (most recent call last):
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...
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IndexError: list assignment index out of range
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"""
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n = len(numbers)
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s = sum(numbers)
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dp = [[False for x in range(s + 1)] for y in range(n + 1)]
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for i in range(n + 1):
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dp[i][0] = True
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for i in range(1, s + 1):
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dp[0][i] = False
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for i in range(1, n + 1):
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for j in range(1, s + 1):
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dp[i][j] = dp[i - 1][j]
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if numbers[i - 1] <= j:
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dp[i][j] = dp[i][j] or dp[i - 1][j - numbers[i - 1]]
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for j in range(int(s / 2), -1, -1):
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if dp[n][j] is True:
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diff = s - 2 * j
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break
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return diff
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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