AGGRCOW - Aggressive cows


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 – 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

Output details:

FJ can put his 3 cows in the stalls at positions 1, 4 and 8,
resulting in a minimum distance of 3.


hide comments
seronic: 2024-02-08 15:47:30

note that the output must be displayed in new line, so remember to use cout<<endl; after each iteration.

agent17: 2024-01-11 17:12:20

A Unique Binary search problem just u have to figure out the low and high values.....it could be solved in O(NlogN) time and O(1) space complexity.

ashish4k: 2023-11-17 05:28:59

I have done it in other platform this one is the worst

mradul_2212: 2023-10-13 14:07:43

maybe you haven't selected the language in which you're writing your code...just check once

code_3r: 2023-09-11 06:55:01

anyone gives some cornercase!

priyanshu_002: 2023-09-05 20:09:27

https://www.spoj.com/users/chiragchhabria Have same Trouble did you find the solution for compilation error.

ansar: 2023-08-23 22:00:37

@suresh_9 use scanf for getting the values

suresh_9: 2023-08-10 08:43:53

Can any one help me I have submitted the code in codingninja it got accepted but when i submitted the same here it was getting wrong ans...........

adithyavarma9: 2023-07-13 13:32:05

@datxaban any way max (min distance) = 3

tarunvyshnav90: 2023-07-08 17:27:46

wowwwwwwwwwww


Added by:Roman Sol
Date:2005-02-16
Time limit:2s
Source limit:10000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:USACO February 2005 Gold Division