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max no of different squares by 1998 rectangles 2x3

Source: IV May Olympiad (Olimpiada de Mayo) 1998 L1 P2

September 17, 2022
geometryrectanglecombinatoricscombinatorial geometry

Problem Statement

There are 19981998 rectangular pieces 22 cm wide and 33 cm long and with them squares are assembled (without overlapping or gaps). What is the greatest number of different squares that can be had at the same time?
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