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]]
public class Solution {
public List<List<Integer>> combinationSum3(int k, int n) {
List<List<Integer>> res = new ArrayList<List<Integer>>();
helper(k, n, 1, 0, new ArrayList<Integer>(), res);
return res;
}
private void helper(int k, int n, int cur, int curSum, List<Integer> curList, List<List<Integer>> res) {
if (curSum == n && curList.size() == k) {
List<Integer> newList = new ArrayList<Integer>(curList);
res.add(newList);
} else if (curSum < n && curList.size() < k) {
for (int i = cur; i <= 9; i++) {
curList.add(i);
helper(k, n, i + 1, curSum + i, curList, res);
curList.remove(curList.size() - 1);
}
}
}
}
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