You are given an array containing $n$ positive integers.
Your task is to divide the array into $k$ subarrays so that the maximum sum in a subarray is as small as possible.
The first input line contains two integers $n$ and $k$ : the size of the array and the number of subarrays in the division.
The next line contains $n$ integers $x_1,x_2,\ldots,x_n$ : the contents of the array.
Print one integer: the maximum sum in a subarray in the optimal division.
5 3 2 4 7 3 5
· \n · · · · \n
8
\n
An optimal division is $[2,4],[7],[3,5]$ where the sums of the subarrays are $6,7,8$ . The largest sum is the last sum $8$ .