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def isSumSubset(arr, arrLen, requiredSum):

"""

>>> isSumSubset([2, 4, 6, 8], 4, 5)

False

>>> isSumSubset([2, 4, 6, 8], 4, 14)

True

"""

# a subset value says 1 if that subset sum can be formed else 0

# initially no subsets can be formed hence False/0

subset = [[False for i in range(requiredSum + 1)] for i in range(arrLen + 1)]

# for each arr value, a sum of zero(0) can be formed by not taking any element

# hence True/1

for i in range(arrLen + 1):

subset[i][0] = True

# sum is not zero and set is empty then false

for i in range(1, requiredSum + 1):

subset[0][i] = False

for i in range(1, arrLen + 1):

for j in range(1, requiredSum + 1):

if arr[i - 1] > j:

subset[i][j] = subset[i - 1][j]

if arr[i - 1] <= j:

subset[i][j] = subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

# uncomment to print the subset

# for i in range(arrLen+1):

# print(subset[i])

print(subset[arrLen][requiredSum])

if __name__ == "__main__":

import doctest

doctest.testmod()

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