combination

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Given two integers n and k, return all possible combinations of k numbers out of 1 ... n.

For example,
If n = 4 and k = 2, a solution is:

[  [2,4],  [3,4],  [2,3],  [1,2],  [1,3],  [1,4],

]

class Solution {private:    vector<vector<int> > ret;    vector<int> a;public:    void solve(int dep, int maxDep, int n, int start)    {        if (dep == maxDep)        {            ret.push_back(a);            return;        }                for(int i = start; i <= n; i++)        {            a[dep] = i;            solve(dep + 1, maxDep, n, i + 1);        }          }        vector<vector<int> > combine(int n, int k) {        // Start typing your C/C++ solution below        // DO NOT write int main() function        a.resize(k);        ret.clear();        solve(0, k, n, 1);        return ret;    }};

  1. void getCombine(  
  2.                 int n,  
  3.                 int k,  
  4.                 int level,  
  5.                 vector<int> &solution,  
  6.                 vector<vector<int>> &result){  
  7.     if(solution.size() == k){  
  8.         result.push_back(solution);  
  9.         return;  
  10.     }  
  11.     for(int i = level; i<=n; i++){  
  12.         solution.push_back(i);  
  13.         getCombine(n,k,i+1,solution,result);  
  14.         solution.pop_back();  
  15.     }  
  16. }  
  17. vector<vector<int> > combine(int n, int k) {  
  18.     vector<int> solution;  
  19.     vector<vector<int>> result;  
  20.     getCombine(n,k,1,solution,result);  
  21.     return result;  
  22. }  


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