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n girls and n boys around a round table for which d_n-c_n is maximum

Source: 1982 Polish MO Finals p1

February 25, 2020
combinatoricsmax

Problem Statement

Find a way of arranging nn girls and nn boys around a round table for which dncnd_n-c_n is maximum, where dn is the number of girls sitting between two boys and cnc_n is the number of boys sitting between two girls.