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2013 ToT Spring Junior A p3 mark 1x1 squares in 19x19 with 10x10 condition

Source:

March 4, 2020
combinatorial geometrycombinatoricssquare table

Problem Statement

There is a 19×1919\times19 board. Is it possible to mark some 1×11\times 1 squares so that each of 10×1010\times 10 squares contain different number of marked squares?
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