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:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
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][0] = 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));
}
}