MathDB

Function

Source: APMO 1995

March 11, 2006

functionmodular arithmeticalgebra unsolvedalgebra

Problem Statement

Find the minimum positive integer

k

such that there exists a function

f

from the set

|x-y| \in \{5, 7, 12\}

of all integers to

\{1, 2, \ldots k\}

with the property that

f(x) \neq f(y)

whenever

|x-y| \in \{5, 7, 12\}

.

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