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Colorful Win (Posted on 2013-05-02) Difficulty: 2 of 5
The box below forms a basis for a game between two players. The idea is that the two players take turns shading in one of the six rectangles (numbered 1 through 6) with one of two colors- say red or blue.
+-+---+------------+
| |   |            |
| | 2 |     3      |
| |   |            |
| +---+--------+---+
|1|            |   |
| |     6      | 4 |
| |            +---+
| |            | 5 |
+-+------------+---+
Either player can use either color on any turn. It is illegal to shade a rectangle with a color that has already been given to a neighboring rectangle. If you don't have a legal move at your turn, you lose the game.

Prove that for each opening move by the first player, the second player can always win.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnother tryJer2013-05-03 11:21:21
The Mapbrianjn2013-05-03 04:51:05
re: Move-counter moveCharlie2013-05-02 14:41:26
Some ThoughtsMove-counter moveJer2013-05-02 13:52:11
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