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Combination Sum III

Find all valid combinations of k numbers that sum up to n such that the following conditions are true: Return a list of all possible valid combinations.

Find all valid combinations of k numbers that sum up to n such that the following conditions are true:

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. Using 4 different numbers in the range [1,9], the smallest sum we can get is 1+2+3+4 = 10 and since 10 > 1, there are no valid combination.

Constraints

  • 2 <= k <= 9
  • 1 <= n <= 60

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