mirror of
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7592cba417
* added sol3.py for problem_20 * added sol4.py for problem_06 * ran `black .` on `\Python`
37 lines
1.1 KiB
Python
37 lines
1.1 KiB
Python
def isSumSubset(arr, arrLen, requiredSum):
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"""
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>>> isSumSubset([2, 4, 6, 8], 4, 5)
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False
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>>> isSumSubset([2, 4, 6, 8], 4, 14)
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True
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"""
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# a subset value says 1 if that subset sum can be formed else 0
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# initially no subsets can be formed hence False/0
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subset = [[False for i in range(requiredSum + 1)] for i in range(arrLen + 1)]
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# for each arr value, a sum of zero(0) can be formed by not taking any element hence True/1
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for i in range(arrLen + 1):
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subset[i][0] = True
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# sum is not zero and set is empty then false
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for i in range(1, requiredSum + 1):
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subset[0][i] = False
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for i in range(1, arrLen + 1):
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for j in range(1, requiredSum + 1):
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if arr[i - 1] > j:
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subset[i][j] = subset[i - 1][j]
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if arr[i - 1] <= j:
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subset[i][j] = subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]
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# uncomment to print the subset
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# for i in range(arrLen+1):
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# print(subset[i])
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print(subset[arrLen][requiredSum])
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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