# Subset Sum with target - Coding Interview Question Mani
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```Given a set of non-negative integers, and a value sum, determine if there is a subset of the given set with sum equal to given target sum.
Example:

Input:  set[] = {3, 34, 4, 12, 5, 2}, sum = 9
Output:  True  //There is a subset (4, 5) with sum 9.

Reference: https://www.geeksforgeeks.org/subset-sum-problem-dp-25/

```

Solution:

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public class SubsetSumWithTarget {

static boolean checkIfSubsetExistsWithTargetSum(int[] w, int c) {
boolean[][] dp = new boolean[w.length + 1][c + 1];
for (int i = 0; i < dp.length; i++) {
dp[i] = true;
}

for (int i = 1; i <= w.length; i++) {
for (int j = 1; j <= c; j++) {
if (w[i - 1] <= j) {
dp[i][j] = dp[i - 1][j - w[i - 1]] || dp[i - 1][j];
} else {
dp[i][j] = dp[i - 1][j];
}
}
}

return dp[w.length][c];
}

public static void main(String[] args) {
int[] w = {3, 34, 4, 12, 5, 2};
int c = 9;
System.out.println(checkIfSubsetExistsWithTargetSum(w, c));

int[] w1 = {3, 34, 4, 12, 5, 2};
int c1 = 13;
System.out.println(checkIfSubsetExistsWithTargetSum(w1, c1));
}
}
``````
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