1990 OIM Problems/Problem 5
Problem
Let and be opposite vertices of a gridded board of by squares , to each of which its diagonal of direction is added, thus forming equal triangles. A piece is moved along a path that goes from to formed by segments of the board, and each time it is traveled, a seed is placed in each of the triangles that accepts that segment as a side. The path is traveled in such a way that no segment is passed more than once, and it is observed, after traveling, that there are exactly two seeds in each of the triangles of the board. For what values of is this situation possible?
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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