MathDB
residues modulo 5

Source: Lithuania NMO 2010

March 11, 2012
combinatorics proposedcombinatorics

Problem Statement

Arrange arbitrarily 1,2,…,251,2,\ldots ,25 on a circumference. We consider all 2525 sums obtained by adding 55 consecutive numbers. If the number of distinct residues of those sums modulo 55 is dd (0≤d≤5)(0\le d\le 5),find all possible values of dd.
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