## 11852 - Knight's Trip

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Nursoltan_h
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Location: Ulaanbaatar, Mongolia
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### 11852 - Knight's Trip

Hi,
Any Hints How to solve this problem?

http://uva.onlinejudge.org/contests/263 ... 11852.html

Angeh
Experienced poster
Posts: 108
Joined: Sat Aug 08, 2009 2:53 pm

### Re: 11852 - Knight's Trip

A Pure Greedy algorithm will solve it ...
generate the output for a Board n*n and by induction find the solution to (n+1)*(n+1)
the minimum number of moves are at least the (x+1)/2 , and also at least (y+1)/2 since you can more at most 2 row or column each time ... and the total of 3 cells each time .... so the number of moves is also at least (x+y+2) /3 ....
we suppose that cell 0,0 is colored white ...
so if the target cell is also white we need even number of moves ...
else if target cell is black we need odd number of moves ...
there are 4 cells in the Board that dont use the Principle mentioned above and you need to check this cases ...
now its easy to find the solution ...

you can find usefull hints for this kind of Problems in Algorithmic problem solving book .......
>>>>>>>>> A2
Beliefs are not facts, believe what you need to believe;)

Nursoltan_h
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Posts: 9
Joined: Sat Jun 12, 2010 2:11 pm
Location: Ulaanbaatar, Mongolia
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### Re: 11852 - Knight's Trip

Thank you very much.

jurong
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Posts: 6
Joined: Wed Oct 06, 2010 1:05 pm

### Re: 11852 - Knight's Trip

But can you tell me where to download "Algorithmic problem solving book"?
I looked at google but cannot find.
Thank you again.

Igor9669
Learning poster
Posts: 85
Joined: Sun Jun 08, 2008 12:58 pm

### Re: 11852 - Knight's Trip

You could find it here: http://uvatoolkit.com/material.php

jurong
New poster
Posts: 6
Joined: Wed Oct 06, 2010 1:05 pm

### Re: 11852 - Knight's Trip

Thanks Igor9669.
If you have this book, can you sent to me via my email : doulce2000@yahoo.com.
Thanks you much!

Angeh
Experienced poster
Posts: 108
Joined: Sat Aug 08, 2009 2:53 pm

### Re: 11852 - Knight's Trip

sent
>>>>>>>>> A2
Beliefs are not facts, believe what you need to believe;)

sir. manuel
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Posts: 18
Joined: Sat Nov 20, 2010 7:44 pm

### Re: 11852 - Knight's Trip

i search it in the internet but i can´t find it!!!, so please can you send it to my email????....kavic1@hotmail.com

Thanks