216.Combination Sum III

2018/10/02 leetcode 共 844 字,约 3 分钟

title

problem link

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.

Note:

All numbers will be positive integers.

The solution set must not contain duplicate combinations.

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]]

solution

排列组合问题

class Solution {
public:
	void backtracking(vector<vector<int>>& res, vector<int> &t, int k, int n,int start) {
		if (k == 0 && n == 0) {
			res.push_back(t);
			return;
		}
		if (k <= 0 || n <= 0 || start > 9) {
			return;
		}
		for (int i = start; i <= 9; i++) {
			t.push_back(i);
			backtracking(res, t, k-1, n-i, i+1);
			t.pop_back();
		}

	}
	vector<vector<int>> combinationSum3(int k, int n) {
		vector<vector<int>> res;
		vector<int> t;
		backtracking(res, t, k, n, 1);
		return res;
	}
};

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