13rd ibmo - rep. dominicana 1998/q1.
Source: Spanish Communities
April 16, 2006
inductioncombinatorics unsolvedcombinatorics
Problem Statement
Given 98 points in a circle. Mary and Joseph play alternatively in the next way:
- Each one draw a segment joining two points that have not been joined before.
The game ends when the 98 points have been used as end points of a segments at least once. The winner is the person that draw the last segment. If Joseph starts the game, who can assure that is going to win the game.