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On a Grid 2 (Posted on 2007-08-29) Difficulty: 3 of 5
Place eight 'X's on a 4x4 grid so that each 'X' is orthogonally bordered by an even number of 'X's and each empty square is orthogonally bordered by an odd number of 'X's.

Can 18 'X's be placed in a 6x6 grid in this manner?

Note: 'orthogonally' means horizontally or vertically

No Solution Yet Submitted by Brian Smith    
Rating: 4.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 5 of 10 |
One way of doing this problem is

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</td> <td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> </tr> <tr style="height: 13.2pt;"> <td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> </tr> <tr style="height: 13.2pt;"> <td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.2pt;" valign="top" width="23">

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</td> </tr> <tr style="height: 13.9pt;"> <td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 17.2pt; height: 13.9pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.9pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.9pt;" valign="top" width="23">

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</td> <td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 17.2pt; height: 13.9pt;" valign="top" width="23">

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</td> </tr> </tbody></table>
  Posted by ram on 2007-11-01 04:08:25
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