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L10 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:
    InInput: 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.

    Constraints:
    - 2 <= k <= 9
    - 1 <= n <= 60

    Notes

    Note: Zoom for Better Understanding



    Extended Version of the L9 Combination Sum II

    Bascially this problem is based on the concept of the printing all the combinationb that we learn prevesily.

    Approch

  • Drow the List Element fron 1 to 9
  • And find the All Subarry that len == k and Sum of arr is == target

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    Time Complexity:O(2^n) Exponential
    Space Complexity:O(N) + O(N) * O(K)
    Reason:O(N) Becouse we store the our element that is our Subsecquance
    O(N) for arr to store the Element
    O(K) for putting the one ds into another


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