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 |   |   |
+---+---+---+---+---+---+---+---+---+---+

(In reply to Cigar? by Steve Herman)

Here's a clearer solution.
Rectangles are 1X3, 1X6, 2X2, 2X3, 2X4, 2X5, 2X6,
  3X4, 3X6, 3X7  

+---+---+---+---+---+---+---+---+---+---+
| A   A | B   B   B   B   B | C   C   C |
+       +                   +           +
| A   O | B   B   B   B   O | C   C   C |
+---+---+---+---+---+---+---+           +
| D   D   D   D   D   D | E | C   C   C |
+                       +   +           +
| D   D   D   D   D   O | E | C   C   C |
+---+---+---+---+---+---+   +           +
| F   F   O | G   G   G | E | C   C   C |
+           +           +   +           +
| F   F   F | G   G   G | E | C   C   C |
+           +           +   +           +
| F   F   F | G   G   G | E | C   C   O |
+           +           +   +---+---+---+
| F   F   F | O   G   G | O | H   H   H |
+           +---+---+---+---+           +
| F   F   F | I   I   I   I | O   H   H |
+           +               +---+---+---+
| F   F   F | I   I   I   O | O   J   J |
+---+---+---+---+---+---+---+---+---+---+

Posted by Steve Herman on 2005-03-09 03:44:22