MathDB
fill the fields of the table 10 x10 with no 1-100, minimum

Source: Czech-Polish-Slovak Junior Match 2016, individual p5 CPSJ

January 20, 2020
combinatorics

Problem Statement

Determine the smallest integer jj such that it is possible to fill the fields of the table 10×1010\times 10 with numbers from 11 to 100100 so that every 1010 consecutive numbers lie in some of the j×jj\times j squares of the table.
Czech Republic
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