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