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Aggresive-Cows-SPOJ

AGGRCOW - Aggressive cows

Problem

Farmer John has built a new long barn, with N (2 <= N <= 100,000) stalls. The stalls are located along a straight line at positions x1,...,xN (0 <= xi <= 1,000,000,000).

His C (2 <= C <= N) cows don't like this barn layout and become aggressive towards each other once put into a stall. To prevent the cows from hurting each other, FJ wants to assign the cows to the stalls, such that the minimum distance between any two of them is as large as possible. What is the largest minimum distance?

Input

t โ€“ the number of test cases, then t test cases follows.

  • Line 1: Two space-separated integers: N and C
  • Lines 2..N+1: Line i+1 contains an integer stall location, xi

Output

For each test case output one integer: the largest minimum distance.

Example

Input:
1
5 3
1
2
8
4
9

Output:

3

Algorithm

Connect With Me

LinkedIn : https://www.linkedin.com/in/akshatjaingeu/
Email : [email protected]
Twitter : www.twitter.com/akki_aj89
Website : https://akshatprogrammer.github.io/portfolio/

Personal

Name : Akshat Jain
University : Graphic Era University, Dehradun(UK)

If any problem with this program reach me at Telegram
Here is the link -> https://t.me/akki_aj89

Gratitude

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