77 Combinations – Medium¶
Problem:¶
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], ]
Thoughts:¶
This is a very typical question to use DFS.
Solutions:¶
public class Solution {
public List<List<Integer>> combine(int n, int k) {
List<List<Integer>> result = new ArrayList<List<Integer>>();
if (n <= 0 || n < k)
return result;
ArrayList<Integer> current = new ArrayList<Integer>();
dfs(n, k, 1, current, result); // because it need to begin from 1
return result;
}
private void dfs(int n, int k, int start, ArrayList<Integer> current,
List<List<Integer>> res) {
if (current.size() == k) {
res.add(new ArrayList<Integer>(current));
return;
}
for (int i = start; i <= n; i++) {
current.add(i);
dfs(n, k, i + 1, current, res);
current.remove(current.size() - 1);
}
}
}