MathDB
a,b,c replaced by 1/3 min(a,b,c) (HOMC 2016 Q S2)

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September 8, 2019
algebracombinatorics

Problem Statement

Given an array of numbers A=(672,673,674,...,2016)A = (672, 673, 674, ..., 2016) on table. Three arbitrary numbers a,b,c∈Aa,b,c \in A are step by step replaced by number 13min(a,b,c)\frac13 min(a,b,c). After 672672 times, on the table there is only one number mm, such that
(A): 0<m<10 < m < 1 (B): m=1m = 1 (C): 1<m<21 < m < 2 (D): m=2m = 2 (E): None of the above.
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