Leetcode NO.78 Subsets

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题目要求如下:

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],  []]
本题我用的dynamically programming的方法,

基本思路:

首先先把[]得出,此时返回的vector的size为1,

然后设定一个临时vector,使其等于[],在后面插入1,再插入到返回vector中,此时有[]和[1]

下一步,取出[],[1]后面都插入2,则此时返回的vector中,有[][1][2][1,2]

再把上面得出的vector斗取出,插入3,得到[][1][2][1,2][3][1,3][2,3][1,2,3]得到正确解

代码如下:

class Solution {public:    vector<vector<int> > subsets(vector<int> &S) {       vector<vector<int>> retVal;       sort(S.begin(), S.end());       retVal.push_back(vector<int>());/* the empty vector */       for (int i = 0; i < S.size(); ++i) {       int retVal_size = retVal.size();       for (int j = 0; j < retVal_size; ++j) {       vector<int> tmp = retVal[j];       tmp.push_back(S[i]);       retVal.push_back(tmp);       }       }       return retVal;    }};


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