216. Combination Sum III
Find all valid combinations of k numbers that sum up to n such that the following conditions are true:
Only numbers 1 through 9 are used. Each number is used at most once. Return a list of all possible valid combinations. The list must not contain the same combination twice, and the combinations may be returned in any order.
Example 1: Input: k = 3, n = 7 Output: [[1,2,4]] Explanation: 1 + 2 + 4 = 7 There are no other valid combinations. Example 2: Input: k = 3, n = 9 Output: [[1,2,6],[1,3,5],[2,3,4]] Explanation: 1 + 2 + 6 = 9 1 + 3 + 5 = 9 2 + 3 + 4 = 9 There are no other valid combinations. Example 3: Input: k = 4, n = 1 Output: [] Explanation: There are no valid combinations. [1,2,1] is not valid because 1 is used twice. Example 4: Input: k = 3, n = 2 Output: [] Explanation: There are no valid combinations. Example 5: Input: k = 9, n = 45 Output: [[1,2,3,4,5,6,7,8,9]] Explanation: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 There are no other valid combinations. Constraints:
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