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Given a set of n non-negative integers, and a value m, determine if there is a subset of the given set with sum divisible by m.
Example 1:
Input:
n = 4 m = 6
nums[] = {3 1 7 5}
Output:
1
Explanation:
If we take the subset {7, 5} then sum
will be 12 which is divisible by 6.
Example 2:
Input:
n = 3, m = 5
nums[] = {1 2 6}
Output:
0
Explanation:
All possible subsets of the given set are
{1}, {2}, {6}, {1, 2}, {2, 6}, {1, 6}
and {1, 2, 6}. There is no subset whose
sum is divisible by 5.
Your Task:
You don't need to read or print anything. Your task is to complete the function DivisibleByM() which takes the given set and m as input parameter and returns 1 if any of the subset(non-empty) sum is divisible by m otherwise returns 0.
Expected Time Complexity: O(n*m)
Expected Space Complexity: O(n)
Constraints:
1 <= elements in set <= 1000
1 <= n, m <= 1000
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