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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

N,K = list(map(int,input().split()))
A = list(map(int,input().split()))

left = 1
right= max(A)

import math

while True:
  
  #cl = 0
  #for i in range(N):
  #  cl += math.ceil(A[i]/left) - 1
  #cr = 0
  #for i in range(N):
  #  cr += math.ceil(A[i]/right) - 1
  
  mid = (left + right)/2
  cm = 0
  for i in range(N):
    cm += math.ceil(A[i]/mid) - 1
  #if(cl<=K):
  #  break
  if(cm<=K):
    right = mid
  else:
    left = mid
  if(abs(left-right)<10e-5):
    break
    
print(math.ceil(mid))
#print(right)
#print(left)