TOE1 - Tic-Tac-Toe ( I )
Tic Tac Toe is a child's game played on a 3 by 3 grid. One player, X, starts by placing an X at an unoccupied grid position. Then the other player, O, places an O at an unoccupied grid position. Play alternates between X and O until the grid is filled or one player's symbols occupy an entire line (vertical, horizontal, or diagonal) in the grid.
We will denote the initial empty Tic Tac Toe grid with nine dots. Whenever X or O plays we fill in an X or an O in the appropriate position. The example below illustrates each grid configuration from the beginning to the end of a game in which X wins.
Your job is to read a grid and to determine whether or not it could possibly be part of a valid Tic Tac Toe game. That is, is there a series of plays that can yield this grid somewhere between the start and end of the game?
Input
The first line of input contains N, the number of test cases. 4N-1 lines follow, specifying N grid configurations separated by empty lines.
Output
For each case print "yes" or "no" on a line by itself, indicating whether or not the configuration could be part of a Tic Tac Toe game.
Example
Input: 2 X.O OO. XXX O.X XX. OOO Output: yes no
hide comments
:D:
2011-10-08 07:26:26
Yes it is. Just look for a sequence of moves, it is simple for such a small field. |
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AKSHAY TANEJA:
2011-10-07 08:49:43
is this a valid one..?
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suteerth:
2011-12-29 20:48:36
oops ! :) |
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:D:
2010-04-02 15:42:41
The "X" player always starts, not "O". |
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suteerth:
2010-04-02 15:37:22
How come this is not a valid state ?
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Ponsamuel Mervin:
2009-08-31 08:54:57
X O X
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Daniel Ferizovic:
2009-08-09 11:05:08
X O X
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ahmed samir:
2009-08-09 10:45:33
how can x win twice somebody give me example |
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Ali Rabiee:
2009-07-30 16:25:43
u're right Dan. it can play somehow that X wins twice. |
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Ali Rabiee:
2009-07-30 09:22:13
are the tests valid themselves?
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Added by: | Camilo Andrés Varela León |
Date: | 2006-12-14 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
Resource: | Waterloo local 2002.09.21 |