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Different Dot Domains Division (Posted on 2005-03-08) Difficulty: 3 of 5
Divide the 10x10 square in ten different, distinct rectangles so that each one has a dot at a corner.
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   | O |   |   |   |   | O |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   | O |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   | O |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |   | O |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   | O |   |   | O |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   | O |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   | O | O |   |   |
+---+---+---+---+---+---+---+---+---+---+

See The Solution Submitted by Old Original Oskar!    
Rating: 3.0000 (2 votes)

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Solution Reasoned solution Comment 4 of 4 |
Label columns from a (left) to j (right) and rows from 1 (bottom) to top (10). Then:

a10 can only be reached from b9: 2x2
a6 can only be reached from c6
if c10 is reached from f9, there's no way to reach b8, so c10 is reached from g9: 2x5
j10 must be reached from j4
j1 must be reached from h1: 1x3
j2 must be reached from h2, so h10 can only be reached from j4: 3x7
At this point, it's easy to see the rest of the solution: j3 is reached from h2 (2x3), g8 from g3 (1x6), a8 from f7 (2x6), a1 from c6 (3x6), f6 from d3 (3x4) and d2 from g1 (2x4).


  Posted by Federico Kereki on 2005-03-09 12:48:46
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