MathDB
Table 9 x 2008

Source: Federation of Bosnia, 3. and 4. Grades 2008.

April 23, 2008
floor functioncombinatorics proposedcombinatorics

Problem Statement

A rectangular table 9 9 rows × \times 2008 2008 columns is fulfilled with numbers 1 1, 2 2, ...,2008 2008 in a such way that each number appears exactly 9 9 times in table and difference between any two numbers from same column is not greater than 3 3. What is maximum value of minimum sum in column (with minimal sum)?
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