377. Combination Sum IV

Alen Alex · February 17, 2026

LeetCode Link: 377. Combination Sum IV
Language: C#

Problem Statement

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 = [1,2,3], 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)
Note that different sequences are counted as different combinations.

Example 2:

Input: nums = [9], target = 3
Output: 0

Constraints:

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

Solution

public class Solution 
{
    public int CombinationSum4(int[] nums, int target) 
    {
        var n = nums.Length;
        var dp = new int[target + 1];
        dp[0] = 1;

        for (int i=0; i<dp.Length; i++)
        {
            for (int j = 0; j<nums.Length; j++)
            {
                if (i - nums[j] < 0)
                {
                    continue;
                }
                dp[i] += dp[i-nums[j]];
            }
        }

        return dp[target];
    }
}

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