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.

(In reply to All nonzero? by Jim Keneipp)

Are you taking "repetition of digits" to mean within a particular square number? I'm sure the "obvious" means that there's repetition among the 4x4 = 16 digits of the whole grid.

Or are you assuming that none of the 4-digit squares can repeat?

 

Edited on October 10, 2009, 3:26 pm

Posted by Charlie on 2009-10-10 15:01:39