package backtracking;

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

/**
 * Created by gouthamvidyapradhan on 14/03/2017.
 * Given a set of distinct integers, nums, return all possible subsets.
 * <p>
 * Note: The solution set must not contain duplicate subsets.
 * <p>
 * For example,
 * If nums = [1,2,3], a solution is:
 * <p>
 * [
 * [3],
 * [1],
 * [2],
 * [1,2,3],
 * [1,3],
 * [2,3],
 * [1,2],
 * []
 * ]
 */
public class Subsets {
    /**
     * Main method
     *
     * @param args
     * @throws Exception
     */
    public static void main(String[] args) throws Exception {
        int[] n = {1, 2, 3};
        List<List<Integer>> result = new Subsets().subsets(n);
    }

    public List<List<Integer>> subsets(int[] nums) {
        List<List<Integer>> result = new ArrayList<>();
        result.add(new ArrayList<>()); //empty subset
        for (int i = 0, l = nums.length; i < l; i++) {
            for (int j = 0, resLen = result.size(); j < resLen; j++) {
                List<Integer> newList = new ArrayList<>(result.get(j));
                newList.add(nums[i]);
                result.add(newList);
            }
        }
        return result;
    }

}