MathDB
Divide square

Source: Moscow Olympiad 2018, Grade 10, P6

July 13, 2018
combinatorics

Problem Statement

We divide 999×999999\times 999 square into the angles with 33 cells. Prove, that number of ways is divided by 272^7.( Angle is a figure, that we can get if we remove one cell from 2×22 \times 2 square).
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