K Subsets With Equal Sum

1. You are given an array of n distinct integers. 2. You have to divide these n integers into k non-empty subsets such that sum of integers of every subset is same. 3. If it is not possible to divide, then print "-1". Note -> Check out the question video and write the recursive code as it is intended without changing signature. The judge can't force you but intends you to teach a concept.

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K Subsets With Equal Sum

medium

Constraints

1 <= n <= 20 1 <= arr[i] <= 100 1 <= k <= n

Format

Input

A number n n distinct integers A number k

Output

Check the sample ouput and question video.

Example

Sample Input

Sample Output

[1, 6] [2, 5] [3, 4]

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K Subsets With Equal Sum

K Subsets With Equal Sum

Constraints

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Input

Output

Example

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