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36 lines
1.1 KiB
Python
36 lines
1.1 KiB
Python
def isSumSubset(arr, arrLen, requiredSum):
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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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return subset[arrLen][requiredSum]
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arr = [2, 4, 6, 8]
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requiredSum = 5
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arrLen = len(arr)
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if isSumSubset(arr, arrLen, requiredSum):
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print("Found a subset with required sum")
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else:
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print("No subset with required sum")
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