"Fill in the numbers cleverly" at Taoii's Blog

by pantao on 2007-08-30 16:20:42

There are eight circles, each connected by straight lines to adjacent circles, as shown in the figure on the left. Now, the numbers 1 through 8 must be placed into these circles. However, two consecutive numbers cannot be placed in circles that are directly connected by a line segment. For example, if the number 5 is placed in one of the top circles, then the numbers 4 and 6 cannot be placed in any of the three circles in the second row.

If we use logical reasoning, it is easy to find the solution to this problem.