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
Explanation
FJ can put his 3 cows in the stalls at positions 1, 4 and 8, resulting in a minimum distance of 3.
hide comments
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giriprasad kemburu:
2015-12-15 18:07:15
Can he put cows at positions 1,4,9?Please explain anyone.
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zootorg:
2015-12-12 07:59:59
Do put your answer on a new line. Got WA for not doing that. |
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mjguru:
2015-12-08 15:25:13
An absolute must do problem for beginners. Do not make the ultra-silly mistake that I made: comparing indices of array instead of the values stored in those indices [Took me 3 WAs and half an hour to realise that :-P ]. |
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sunil:
2015-11-29 05:58:59
is it compulsory to assign a cow the first stall
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Sid:
2015-11-26 13:56:23
If you are wondering why 1,4,8 instead of 1,4,9 then do not. For me its actually a subtle hint for applying binary search. You will understand it when you apply the algo.
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darkhire21:
2015-11-06 22:20:23
<p>int-> long got accepted .</p>
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Rahul sant:
2015-10-23 19:49:50
Nice question,,just think whether a particular distance can be used as a minimum largest distance or not..
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nonushikhar:
2015-10-23 19:05:35
learned a lot from this ...!! a must do problem for beginners!! |
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.::High::Voltage::.:
2015-10-03 08:31:57
Please someone explain me how to do this problem as topcoder website is not working .
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Mit:
2015-09-30 21:32:46
Superb concept!
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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 |