Problem:
Score : 500 points

Problem Statement

We have N logs of lengths A_1,A_2,\cdots A_N.

We can cut these logs at most K times in total. When a log of length L is cut at a point whose distance from an end of the log is t (0<t<L), it becomes two logs of lengths t and L-t.

Find the shortest possible length of the longest log after at most K cuts, and print it after rounding up to an integer.

Constraints

1 \leq N \leq 2 \times 10^5

0 \leq K \leq 10^9

1 \leq A_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 \cdots A_N

Output

Print an integer representing the answer.

Sample Input 1

2 3
7 9

Sample Output 1

4

First, we will cut the log of length 7 at a point whose distance from an end of the log is 3.5, resulting in two logs of length 3.5 each.

Next, we will cut the log of length 9 at a point whose distance from an end of the log is 3, resulting in two logs of length 3 and 6.

Lastly, we will cut the log of length 6 at a point whose distance from an end of the log is 3.3, resulting in two logs of length 3.3 and 2.7.

In this case, the longest length of a log will be 3.5, which is the shortest possible result. After rounding up to an integer, the output should be 4.

Sample Input 2

3 0
3 4 5

Sample Output 2

5

Sample Input 3

10 10
158260522 877914575 602436426 24979445 861648772 623690081 433933447 476190629 262703497 211047202

Sample Output 3

292638192

Solution in C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Linq;
class program{
  static void Main(){
    var nk = Array.ConvertAll(Console.ReadLine().Split(' '),int.Parse);
    var log = Array.ConvertAll(Console.ReadLine().Split(' '),double.Parse);
    int mxlg = (int)log.Max(),mnlg = mxlg/(1+nk[1]);
    int sum,mid;
    while(mnlg+1 < mxlg){
      sum = 0;
      mid = (mnlg+mxlg)/2;
      for(int i = 0;i<nk[0];i++){
        sum += (int)Math.Ceiling(log[i]/mid)-1;
      }
      if(sum <= nk[1]){
        mxlg = mid;
      }else{
        mnlg = mid;
      }
    }
    Console.Write(mnlg);
  }
}