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compare 888...888 x333..333, 444...444x666...667 (HOMC 2010 J Q1)

Source:

July 25, 2019
Comparealgebra

Problem Statement

Compare the numbers: P = 888...888 \times 333 .. 333 (20102010 digits of 88 and 20102010 digits of 33) and Q=444...444×666...6667Q = 444...444\times 666...6667 (20102010 digits of 44 and 20092009 digits of 66)
(A): P=QP = Q, (B): P>QP > Q, (C): P<QP < Q.