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. [[1,2,4]]

Example 2:

Input: k = 3, n = 9

Output:

  1. [[1,2,6], [1,3,5], [2,3,4]]

思路:

组合问题,递归,1-9 每个数字都分放入和不放入两种情况。得到满足条件的就压入答案。

  1. class Solution {
  2. public:
  3. vector<vector<int>> combinationSum3(int k, int n) {
  4. vector<int> partans;
  5. vector<vector<int>> ans;
  6. combination(, k, n, partans, ans);
  7. return ans;
  8. }
  9.  
  10. void combination(int curNum, int k, int sum, vector<int> &partans, vector<vector<int>> &ans)
  11. {
  12. if(curNum > || sum < || k < ) return; //注意这里是 > 10, 否则数字9的答案无法压入
  13. if(sum == && k == )
  14. {
  15. ans.push_back(partans);
  16. }
  17. else
  18. {
  19. partans.push_back(curNum);
  20. combination(curNum + , k - , sum - curNum, partans, ans);
  21. partans.pop_back();
  22. combination(curNum + , k, sum, partans, ans);
  23. }
  24. }
  25. };

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