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dynamic_programming/sum_of_subset.py
35 строк
1 KB
Tianyi Zheng
Remove some print statements within algorithmic functions (#7499)
22 окт 2022, 14:33
Не верифицирован
22 окт 2022, 14:33
cc10b20
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def is_sum_subset(arr: list[int], required_sum: int) -> bool: """ >>> is_sum_subset([2, 4, 6, 8], 5) False >>> is_sum_subset([2, 4, 6, 8], 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 arr_len = len(arr) subset = [[False] * (required_sum + 1) for _ in range(arr_len + 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(arr_len + 1): subset[i][0] = True # sum is not zero and set is empty then false for i in range(1, required_sum + 1): subset[0][i] = False for i in range(1, arr_len + 1): for j in range(1, required_sum + 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]] return subset[arr_len][required_sum] if __name__ == "__main__": import doctest doctest.testmod()