Tricky Checkers

A new game representing a mixture of checkers and billiards. The rules are as follows:

Each player has one checker. The task is to launch the checker so that it travels as far as possible without hitting the opponent’s checker. Each match consists of five rounds, in each of which the players make one hit. Points are awarded depending on the distance traveled by the checker. In the event of a collision with an opponent’s checker, the player who violated the rules gets points for the distance he traveled with his checker before the collision, and his opponent gets points for the distance traveled by both checkers. A player wins, who scores more points in a sum of five rounds.