Problem Description
Place the digits 1
through 9 in the circles at right so that the value in any
circle will be the sum of the digits in the circles connected
from below.
Background & Techniques
Here is the second little puzzle program adapted from my most
recent puzzle book acquisition, Giant
Book of Mensa Mind Challenges  ,
Stirling Publications, 2003.
The operation of the program is simple: Drag digits to
the circles until the conditions are satisfied. Clearly,
since there are nine digits and only seven circles, some of the
circles will contain two digits. Drag and drop digits on
the left or right side of the circle, depending whether you are
setting the left or right digit.
The solution is not included as part of the program but if
you really get stuck, I have included it as a sample problem with
our Brute Force problem
solver which uses exhaustive search to find solutions for a
given set of equations and values.
From the programming point of view, the coding techniques are
similar to those used in the Added
Corners puzzle, the only real complication being the
requirement to keep track of the possibility two digits in
a circle and evaluating them appropriately when forming
sums.
Running/Exploring the Program
Suggestions for Further Explorations
I wonder, how many other graphs
could be created using the 9 digits with other arrangements of
circles and meeting some mathematical
condition?
| Created March 1,
2006 |
Modified: November 07, 2008
|
|
