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Partition to K Equal Sum Subsets

Given an integer array nums and an integer k, return true if it is possible to divide this array into k non-empty subsets whose sums are all equal.

Given an integer array nums and an integer k, return true if it is possible to divide this array into k non-empty subsets whose sums are all equal.

Partition to K Equal Sum Subsets diagram

Example 1

Input: nums = [4,3,2,3,5,2,1], k = 4

Output: true

Explanation: It is possible to divide it into 4 subsets (5), (1, 4), (2,3), (2,3) with equal sums.

Example 2

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

Output: false

Constraints

  • 1 <= k <= nums.length <= 16
  • 1 <= nums[i] <= 10^4
  • The frequency of each element is in the range [1, 4].

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