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Kvant 2019
M2570
M2570
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(1)
CMO 2019, senior, P1
Source: Caucasus mathematical olympiad 2019
3/23/2019
Pasha placed numbers from
1
1
1
to
100
100
100
in the cells of the square
10
10
10
×
10
10
10
, each number exactly once. After that, Dima considered all sorts of squares, with the sides going along the grid lines, consisting of more than one cell, and painted in green the largest number in each such square (one number could be colored many times). Is it possible that all two-digit numbers are painted green?Bragin Vladimir
combinatorics
Kvant