Question 118
There are three chess boards in a chess club, one of them is peaceful, the other one is fair, and the third board is strange. If two chess players use the peaceful board, then the result of their game is always a draw, if they use the fair board, then a stronger player wins, but if players use the strange board, then a stronger player loses.
Is it possible to organize the chess tournament between six chess players (none of them is equal to another in power) so that the following conditions hold: the tournament consists of five rounds, each round consists of three games and all these three chess boards are used, each participant plays exactly one game with every other participant, and the position of each player in the final table of the results of the tournament corresponds to the power of the player?
(A participant receives 1 point for a win, 1/2 point for a draw, and 0 point for a loss.)
(I. Bliznets)
Is it possible to organize the chess tournament between six chess players (none of them is equal to another in power) so that the following conditions hold: the tournament consists of five rounds, each round consists of three games and all these three chess boards are used, each participant plays exactly one game with every other participant, and the position of each player in the final table of the results of the tournament corresponds to the power of the player?
(A participant receives 1 point for a win, 1/2 point for a draw, and 0 point for a loss.)
(I. Bliznets)