The football tournament involved teams A, B, C, D, E. Each team played each exactly once. In each game, 3 points were given for a win, 1 point for a draw, and 0 points for a defeat. It is known that at the end of the tournament: all teams scored a different number of points; team A scored the most points, although it lost to team B; Teams B and C have not lost a single game; Team C scored fewer points than team B. How many points did each team score?