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268 numbers are written around a circle

Source: 2002 Swedish Mathematical Competition p1

March 21, 2021
algebraSumcombinatorics

Problem Statement

268268 numbers are written around a circle. The 1717th number is 33, the 8383rd is 44 and the 144144th is 99. The sum of every 2020 consecutive numbers is 7272. Find the 210210th number.