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Algorithm

77. Combinations

Description

Given two integers n and k, return all possible combinations of k numbers chosen from the range [1, n].

You may return the answer in any order.

Example 1:

Input: n = 4, k = 2
Output: [[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]]
Explanation: There are 4 choose 2 = 6 total combinations.
Note that combinations are unordered, i.e., [1,2] and [2,1] are considered to be the same combination.

Example 2:

Input: n = 1, k = 1
Output: [[1]]
Explanation: There is 1 choose 1 = 1 total combination.

Constraints:

  • 1 <= n <= 20
  • 1 <= k <= n

Solution

class Solution {
    public List<List<Integer>> combine(int n, int k) {
        List<List<Integer>> res = new ArrayList<>();
        backtrack(res, new ArrayList(), n, k,1);
        return res;
    }
    private void backtrack(List<List<Integer>> res, List<Integer> tempList, int n, int k,int start){
        if(tempList.size()==k){
            res.add(new ArrayList(tempList));
            return;
        }
        for(int i=start; i<=n; i++){
           tempList.add(i);
           backtrack(res,tempList,n,k,i+1);
           tempList.remove(tempList.size()-1);
        }
    }
}

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