Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 780. (September 2020)

A. 780. We colored the \(\displaystyle n^2\) unit squares of an \(\displaystyle n\times n\) square lattice such that in each \(\displaystyle 2\times 2\) part at least two of the four unit squares has the same color. What is the largest number of colors we could have used?

Based on a problem of the Dürer Competition

(7 pont)

Deadline expired on October 12, 2020.


Statistics:

30 students sent a solution.
7 points:Fleiner Zsigmond, Füredi Erik Benjámin, Kovács 129 Tamás, Nádor Benedek, Seres-Szabó Márton.
3 points:5 students.
2 points:1 student.
1 point:10 students.
0 point:8 students.
Not shown because of missing birth date or parental permission:1 solutions.

Problems in Mathematics of KöMaL, September 2020