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g0201_0300.s0216_combination_sum_iii.readme.md Maven / Gradle / Ivy

216\. Combination Sum III

Medium

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. 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`