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Japan MO Finals 2021 P4

Source: Japan MO Finals 2021 P4

February 14, 2021
algebraInequalitySequenceJapan

Problem Statement

Let a1,a2,…,a2021a_1,a_2,\dots,a_{2021} be 20212021 integers which satisfy an+5+an>an+2+an+3 a_{n+5}+a_n>a_{n+2}+a_{n+3} for all integers n=1,2,…,2016n=1,2,\dots,2016. Find the minimum possible value of the difference between the maximum value and the minimum value among a1,a2,…,a2021a_1,a_2,\dots,a_{2021}.
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