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()