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.

Example 1
Inputnums = [4,3,2,3,5,2,1], k = 4
Outputtrue
It is possible to divide the array into 4 subsets (5), (1, 4), (2, 3), and (2, 3) with equal sums.
Example 2
Inputnums = [1,2,3,4], k = 3
Outputfalse
The array cannot be divided into 3 non-empty subsets whose sums are all equal.

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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