problem698

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698. Partition to K Equal Sum Subsets (Medium)

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:

Input: nums = [4,3,2,3,5,2,1], k = 4
Output: true
Explanation: It's 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] <= 104
• The frequency of each element is in the range [1, 4].

Related Topics

[Bit Manipulation] [Memoization] [Array] [Dynamic Programming] [Backtracking] [Bitmask]

Similar Questions

1. Partition Equal Subset Sum (Medium)

Hints

Hint 1

We can figure out what target each subset must sum to. Then, let's recursively search, where at each call to our function, we choose which of k subsets the next value will join.