Minimum partitioning
import java.util.*;
public class Minimumpartioting {
public static int minDifference(int arr[], int n, int sum) {
int W = sum / 2;
int dp[][] = new int[n + 1][W + 1];
for (int i = 1; i < n + 1; i++) {
for (int j = 1; j < W + 1; j++) {
if (arr[i - 1] <= j) {
dp[i][j] = Math.max(arr[i - 1] + dp[i - 1][j - arr[i - 1]], dp[i - 1][j]);
} else {
dp[i][j] = dp[i - 1][j];
}
}
}
int sum1 = dp[n][W];
int sum2 = sum - sum1;
return Math.abs(sum1 - sum2);
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter n:");
int n = sc.nextInt();
int arr[] = new int[n];
System.out.println("Enter array:");
for (int i = 0; i < n; i++) {
arr[i] = sc.nextInt();
}
int sum = 0;
for (int i = 0; i < n; i++) {
sum += arr[i];
}
System.out.println("The minimum difference between sum of their subsets:" + minDifference(arr, n, sum));
}
}
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