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Subset Sum Equal To K

Dynamic Programming
medium
Score: 30

Given an array of integers nums and an integer k, return 1 if there exists a subset in nums with a sum equal to k. otherwise, return 0

Input Format

First Parameter: Length of array n

Second Parameter: Array of int nums

Third Parameter: Integer k

Output Format

Return the integer.

Example 1

Input: nums = [1,2,3,4], k = 4
Output: 1
Explanation: There exist 2 subsets with sum = 4. These are [1,3] and [4]. Hence, return 1.

Example 2

Input: nums = [2,4,6], k = 1
Output: 0
Explanation: There is no subset with a sum equal to 1.

Constraints

  • 1 <= nums.length <= 103
  • 0 <= nums[i] <= 109
  • 0 <= k <= 103
  • Expected Time Complexity - O(n*k)
  • Expected Space Complexity - O(n*k)
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