题目要求
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| Given a set of distinct integers, nums, return all possible subsets.
Note: The solution set must not contain duplicate subsets.
For example, If nums = [1,2,3], a solution is:
[ [3], [1], [2], [1,2,3], [1,3], [2,3], [1,2], [] ]
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类似的题目有:
leetcode60 Permutation Sequence 可以参考这篇博客
leetcode77 Combinations 可以参考这篇博客
思路一:递归
还是利用递归的方式,在前一种情况的基础上遍历下一轮的组合情况。
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| public List<List<Integer>> subsets(int[] nums) { List<List<Integer>> result = new ArrayList<List<Integer>>(); result.add(new ArrayList<Integer>()); subsets(result, nums, 0, new ArrayList<Integer>()); return result; }
public void subsets(List<List<Integer>> result, int[] nums, int startIndex, List<Integer> currentList){ if(startIndex == nums.length){ return; } while(startIndex<nums.length){ currentList.add(nums[startIndex++]); result.add(new ArrayList<Integer>(currentList)); subsets(result, nums, startIndex, currentList); currentList.remove(currentList.size()-1); } }
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思路2:排序后循环
起始subset集为:[]
添加S0后为:[], [S0]
添加S1后为:[], [S0], [S1], [S0, S1]
添加S2后为:[], [S0], [S1], [S0, S1], [S2], [S0, S2], [S1, S2], [S0, S1, S2]
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| public List<List<Integer>> subsets(int[] S) { List<List<Integer>> res = new ArrayList<>(); res.add(new ArrayList<Integer>()); for(int i : S) { List<List<Integer>> tmp = new ArrayList<>(); for(List<Integer> sub : res) { List<Integer> a = new ArrayList<>(sub); a.add(i); tmp.add(a); } res.addAll(tmp); } return res; }
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