Combination Sum IV

Medium

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You are given an array of distinct integers nums and a target integer target, return the number of possible combinations that add up to target.

The test cases are generated so that the answer can fit in a 32-bit integer.

Example 1:

Input: nums = [3,1,2], target = 4

Output: 7

Explanation: The possible combination ways are:
(1, 1, 1, 1)
(1, 1, 2)
(1, 2, 1)
(1, 3)
(2, 1, 1)
(2, 2)
(3, 1)

Example 2:

Input: nums = [1], target = 3

Output: 1

Constraints:

  • 1 <= nums.length <= 200
  • 1 <= nums[i], target <= 1000
  • All the elements of nums are unique.

Follow up: What if negative numbers are allowed in the given array? How does it change the problem? What limitation we need to add to the question to allow negative numbers?



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nums =

target =