8 heaps of 251 coins each, 251 heaps of 8 coins each, regular 2008-gon
Source: Indian Postal Coaching 2009 set 4 p4
May 26, 2020
combinatorics
Problem Statement
At each vertex of a regular -gon is placed a coin. We choose two coins and move each of them to an adjacent vertex, one in the clock-wise direction and the other in the anticlock-wise direction. Determine whether or not it is possible, by making several such pairs of moves, to move all the coins into
(a) heaps of coins each,
(b) heaps of coins each.