6724.Array Division

Time Limit: 1s Memory Limit: 512MB

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.

Input Format(From the terminal/stdin)

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.

  • $1 \le n \le 2 \cdot 10^5$
  • $1 \le k \le n$
  • $1 \le x_i \le 10^9$

Output Format(To the terminal/stdout)

Print one integer: the maximum sum in a subarray in the optimal division.

Sample Input

Copy
5 3
2 4 7 3 5
 · \n
 · · · · \n

Sample Output

Copy
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 $8$ .

Source: CSES, Sorting and Searching, 1085

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