KöMaL 2021 K704

There were 5 participants in a chess tournament. Each player played every other player once. 1 point was awarded for winning the game, 0.5 point for a draw and 0 for losing. At the end, it turned out that: - the player finishing in the first place had no draws; - the player in the second place lost no game; - each player had a different number of points. Find the score of each player.