Forty-two pieces, numbered from 1 to 42, are disposed in a 6x7 grid, so that each pair of consecutive numbers are in cells that touch each other horizontally or vertically, not diagonally. Below, there are two partial drawings of the grid, where only 3 numbers appear, but only one of the two is correct.

+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    | 11 | 20 |    |    |    |    |    |    | 11 | 20 |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |    | 31 |    |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    | 31 |    |    |    |    |    |    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+    +----+----+----+----+----+----+----+
          (first drawing)                         (second drawing)

Justify what is the correct drawing and complete its filling.

(In reply to re(2): Another Solution - how about... by dopey915)

dopey, I´m talking about the other ("another") solution that you posted.

The first one is correct, but not the second. Each pair of consecutive numbers must touch.

 

Posted by pcbouhid on 2005-12-01 15:42:35