SDE Path

Koko Eating Bananas

Medium

Koko Eating Bananas

Given piles of bananas and H hours, find the minimum eating speed to finish all piles within H hours.

Input format

The first line contains N (number of piles) and H (available hours, H ≥ N). The second line contains N pile sizes.

Output format

Print the minimum integer eating speed K (bananas/hour) that finishes all piles within H hours. A pile of size p takes ceil(p / K) hours.

Constraints

  • Values fit in a 64-bit signed integer
  • Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

Sample cases

Example 1
Input
4 8
3 6 7 11
Expected output
4
Example 2
Input
3 5
30 11 23
Expected output
15