Given a set of distinct integers, S, return all possible subsets.
Note:
- Elements in a subset must be in non-descending order.
- The solution set must not contain duplicate subsets.
For
example,
If S = [1,2,3]
,
a solution is:
[ [3], [1], [2], [1,2,3], [1,3], [2,3], [1,2], [] ]
[解题思路]
这个就是排列组合中的排列问题。递归如下逻辑:
Func Generate
对于输入字符串s的每一位字符
选取该字符到子集合中,并输出
如果,当前字符不是最后一位字符
递归调用Generate,处理下一位字符
public class Solution { public ArrayList<ArrayList<Integer>> subsets(int[] S) { Arrays.sort(S); ArrayList<ArrayList<Integer>> result = new ArrayList<ArrayList<Integer>>(); ArrayList<Integer> list = new ArrayList<Integer>(); generate(result, list, S, 0, S.length); return result; } public void generate(ArrayList<ArrayList<Integer>> result, ArrayList<Integer> list, int[] S, int depth, int length){ result.add(list); if(depth == length) return; for(int i = depth; i< length; i++){ ArrayList<Integer> tmp = new ArrayList<Integer>(); tmp.addAll(list); tmp.add(S[i]); generate(result, tmp, S, i+1, length); } } }