perplexus.info :: Numbers : Squaring a Square Grid

Squaring a Square Grid (Posted on 2009-10-10)

Place 16 nonzero base ten digits in the cells of a 4x4 square grid, with each digit occurring in a cell exactly once. The digits can be considered as forming eight 4-digit numbers, read left to right and top to bottom, each of which is a perfect square. Since there are more than nine cells, there will be an obvious repetition of digits.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

2 1 1 6 1 2 2 5 1 2 9 6 6 5 6 1
Is the only possible 4x4 array that conforms to the given conditions.
For an explanation, refer to:
(I) The solution submitted by brianjn in this location.
(II) The solution submitted by Harry in this location.

--------------------------------------------------------------

*** Based on: New Winter Problems, Problem #4 by Richard I. Hess, Brain Ticklers, The BENT, Winter 2004.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Computer solution	Harry	2009-10-10 23:25:32
Non-computer solution	brianjn	2009-10-10 23:22:17
re: All nonzero?	Charlie	2009-10-10 15:01:39
All nonzero?	Jim Keneipp	2009-10-10 13:53:28

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info