Separating edges

Algebra Level pending

Each square of a 33 × 33 33\times 33 square grid is colored in one of the three colors: red, yellow or blue, such that the number of squares of each color is the same. If two squares sharing a common edge are in different colors, call that common edge a separating edge. Find the minimal number of separating edges in the grid.


The answer is 56.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Saya Suka
May 3, 2021

Answer
= 33 + 22 + 1
= 33 + (11 + 1 + 11)
= 56


Could you explain this solution? You haven't said anything about where these numbers come from, or why this should be the smallest possible number of separating edges.

Chris Lewis - 1 month, 1 week ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...