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numbers 1,2,..., 2001 to a 9x2001 table

Source: 2001 Estonia National Olympiad Final Round grade 9 p5

March 12, 2020
combinatoricstablemax

Problem Statement

A table consisting of 99 rows and 20012001 columns is filfed with integers 1,2,...,20011,2,..., 2001 in such a way that each of these integers occurs in the table exactly 99 times and the integers in any column differ by no more than 33. Find the maximum possible value of the minimal column sum (sum of the numbers in one column).