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Copy pathMinSubsetSumDiff.java
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42 lines (38 loc) · 1.18 KB
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package Codes.DynamicProgramming;
import java.util.ArrayList;
public class MinSubsetSumDiff {
static boolean[][] subsetsum(int arr[], int sum){
int n=arr.length;
boolean dp[][]= new boolean [n+1][sum+1];
for(int i=0;i<=sum;i++) dp[0][i]=false;
for(int i=0;i<=n;i++) dp[i][0]=true;
for(int i=1;i<=n;i++){
for (int j=1;j<=sum;j++){
if(arr[i-1]<=j)
dp[i][j]=dp[i-1][j] || dp[i-1][j-arr[i-1]];
else
dp[i][j]=dp[i-1][j];
}
}
return dp;
}
static int minSubsetSum(int arr[]){
int sum=0;
int n=arr.length;
for(int i=0;i<n;i++)
sum+=arr[i];
boolean dp[][]= subsetsum(arr,sum);
ArrayList<Integer> nums= new ArrayList<>();
for(int i=0;i<=sum/2;i++)
if(dp[n][i])
nums.add(i);
int res=Integer.MAX_VALUE;
for(int i=0;i<nums.size();i++)
res=Math.min(res, sum-2*nums.get(i));
return res;
}
public static void main(String[] args) {
int arr[]={3,5,6,1,8,10};
System.out.println(minSubsetSum(arr));
}
}