You've got array A, consisting of n integers and a positive integer k. Array A is indexed by integers from 1 to n.

You need to permute the array elements so that value
became minimal possible. In particular, it is allowed not to change order of elements at all.

The first line contains two integers n,k (2 \le n \le 3 \cdot 105, 1 \le k \le min(5000,n-1)).

The second line contains n integers A[1],A[2],...,A[n] (-109 \le A[i] \le 109), separate by spaces - elements of the array A.

Print the minimum possible value of the sum described in the statement.

In the first test one of the optimal permutations is 142.

In the second test the initial order is optimal.

In the third test one of the optimal permutations is 234435.