題目：

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], ]

?題解：

?這道題就是用DFS(參考Work BreakII)的循環遞歸處理子問題的方法解決。n為循環的次數，k為每次嘗試的不同數字。用到了回溯。

?代碼如下：

?

?1?????public?ArrayList<ArrayList<Integer>>?combine(int?n,?int?k)?{
?2?????????ArrayList<ArrayList<Integer>>?res?=?new?ArrayList<ArrayList<Integer>>();
?3?????????if(n?<=?0||n?<?k)
?4?????????????return?res;
?5?????????ArrayList<Integer>?item?=?new?ArrayList<Integer>();????
?6?????????dfs(n,k,1,item,?res);//because?it?need?to?begin?from?1
?7?????????return?res;
?8?????}
?9?????private?void?dfs(int?n,?int?k,?int?start,?ArrayList<Integer>?item,?ArrayList<ArrayList<Integer>>?res){
10?????????if(item.size()==k){
11?????????????res.add(new?ArrayList<Integer>(item));//because?item?is?ArrayList<T>?so?it?will?not?disappear?from?stack?to?stack
12?????????????return;
13?????????}
14?????????for(int?i=start;i<=n;i++){
15?????????????item.add(i);
16?????????????dfs(n,k,i+1,item,res);
17?????????????item.remove(item.size()-1);
18?????????}
19?????}

Reference:http://blog.csdn.net/linhuanmars/article/details/21260217

?

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