问题描述
https://leetcode.com/problems/combinations/#/description
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],
]
算法
类似全排列问题,使用回溯算法即可
代码
public List<List<Integer>> combine(int n, int k) {
List<List<Integer>> res = new ArrayList<List<Integer>>();
fun(res, new ArrayList<Integer>(), 0, n, k);
return res;
}
public void fun(List<List<Integer>> res, List<Integer> list, int start, int n, int k) {
if(list.size() == k) {
res.add(new ArrayList<>(list));
return;
}
for(int i=start;i<n;i++) {
list.add(i+1);
fun(res, list, i+1, n, k);
list.remove(list.size()-1);
}
}