LeetCode – Combination Sum III (Java)

Find all possible combinations of k numbers that add up to a number n, given that only numbers from 1 to 9 can be used and each combination should be a unique set of numbers.

Ensure that numbers within the set are sorted in ascending order.

Example 1: Input: k = 3, n = 7 Output: [[1,2,4]]
Example 2: Input: k = 3, n = 9 Output: [[1,2,6], [1,3,5], [2,3,4]]


Related problems: Combination Sum, Combination Sum II.

Java Solution

public List<List<Integer>> combinationSum3(int k, int n) {
    List<List<Integer>> result = new ArrayList<List<Integer>>();
    List<Integer> curr = new ArrayList<Integer>();
    helper(result, curr, k, 1, n);
    return result;
public void helper(List<List<Integer>> result, List<Integer> curr, int k, int start, int sum){
    if(sum==0 && curr.size()==k){
        result.add(new ArrayList<Integer>(curr));
    for(int i=start; i<=9; i++){
        helper(result, curr, k, i+1, sum-i);

Note the following relation in Java:

Integer is a subclass of Number and ArrayList is a subclass of List. But ArrayList is not a subclass of ArrayList.



Category >> Algorithms >> Interview  
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  1. Nilesh Barge on 2015-9-18

    What is time complexity of this solution?

  2. Suzy on 2015-10-19

    Thank you for the great solution!

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