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Indonesian MO 2016 Last Problem

Source: Indonesian MO 2016 Problem #8

May 2, 2017
permutationscombinatoricsnumber theory

Problem Statement

Determine with proof, the number of permutations a1,a2,a3,...,a2016a_1,a_2,a_3,...,a_{2016} of 1,2,3,...,20161,2,3,...,2016 such that the value of ∣ai−i∣|a_i-i| is fixed for all i=1,2,3,...,2016i=1,2,3,...,2016, and its value is an integer multiple of 33.
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