Given a set S, find all the maximal subsets whose sum <= k

Question

This is a Facebook interview question I came across at an online portal.

Given a set S, find all the maximal subsets whose sum <= k. For example, if S = {1, 2, 3, 4,

Answer 1

This is a powerset problem. Recently I found this website about algorithms and it's been painting my imagination: hence the powerset/combinations solution following. You can simply copy, paste, and run the program.

import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

public class Solution {
  public static void maximalSubset
    (int sum, int[] set, int choose,List exclusion) {
    if(1>choose) return;
    int combinationSize = combinationSize(set.length,choose);
    int index[]=new int[choose];
    Integer subSet[] = new Integer[choose];
    for(int i=0; in-r) {
        den=n-r;
        limit=r;
    }else {
        den=r;
        limit=n-r;
    }
    long result=1;
    for(int i=n; i>limit;i--)
        result*=i;
    for(int i=2; i<=den;i++)
        result/=i;
    return (int)result;
}//
private static void nextCombination(int[] A, int n) {
    int c=A.length;
    int i=c-1;
    while(n-c+i==A[i])
        i--;
    A[i]++;
    for(int j=i; j=0;
}//

private static boolean excluded(Integer[] needle,List haystack) {

    for(Integer[] H: haystack) {
        int count=0;
        for(int h: H)
            for(int n:needle)
                if(h==n) {
                    count++;
                    break;//it's a set
                }
        if(count==needle.length)
            return true;
    }
    return false;
}//

public static void main(String[] args) {
    int[] S = {1, 2, 3, 4, 5};
    int k = 7;
    List exclusion = new ArrayList();
    maximalSubset(k,S,S.length,exclusion);
}
}