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], ]分析
用dfs/遞歸獲得所有組合。
代碼
import java.util.ArrayList;
public class Combinations {
private ArrayList> results;
private int n;
private int k;
public ArrayList> combine(int n, int k) {
results = new ArrayList>();
this.n = n;
this.k = k;
dfs(0, 1, new ArrayList());
return results;
}
private void dfs(int level, int start, ArrayList list) {
if (level == k) {
results.add(new ArrayList(list));
return;
}
for (int i = start; i <= n; ++i) {
ArrayList temp = new ArrayList(list);
temp.add(i);
dfs(level + 1, i + 1, temp);
}
}
}