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
themast3r:
2017-11-01 16:59:04
Possibly the finest problem I solved on SPOJ. Last edit: 2017-11-01 16:59:18 |
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rebornplusplus:
2017-10-22 10:48:44
Nice problem ;) |
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jd_tc:
2017-10-20 09:30:44
Thank @grb_avatar for the link, it was really helpful :) :)
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edujtm:
2017-10-20 04:50:22
Struggled a lot with this one, hard to define if the binary search is going to give you the result you want. TopCoder helped a lot. |
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arjun_agrawal:
2017-09-05 06:45:06
Thought this question in a backward manner. Try to search for the answer in a binary search fashion and check its feasibility |
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pkgleb:
2017-08-27 18:47:35
First, I found solution using Indexed priority queue, but after topcoder's article lecture the solution just show up :) |
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kspoj:
2017-08-24 20:29:26
Quora helped :) |
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iket0512:
2017-08-20 07:29:56
Last edit: 2017-08-20 07:30:22 |
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suchith:
2017-08-05 20:00:23
nice problem
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omaragha:
2017-08-03 16:48:57
Nice BS Problem
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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 |