The Soaked Box Score

Medium — logic-grid deduction puzzle

Rain soaked the only box score from the deciding game, and the lines for Saturnino, Bartholomew and Kendrick have to be pieced back together.

The deciding game of the series ended in a downpour, and the only box score on the scorer's table got soaked. Five starters had a line on that sheet. The rain blurred three of them, the lines for Saturnino, Bartholomew and Kendrick. The other two stayed dry and play no part here. For each of the three, we need back his minutes, his rebounds, his assists and his points. Line the three up from fewest minutes to most. The scorer also wrote a note in the margin beside each of their names. That note is not the player's own points. It is the points of the players just before and just after him in that line, added together. The player with the fewest minutes and the player with the most each have only one neighbour, so each of their notes is just that one neighbour's points.

Clues

1. The margin note beside Kendrick's name came to less than 30.
2. The 41 minutes, the 19 rebounds and the 14 points went to three different players.
3. Only one of the 11 rebounds and the 12 assists belonged to the player who scored the 14 points.
4. Saturnino played more minutes than Kendrick.
5. If Bartholomew played the 41 minutes, then Saturnino scored the 22 points.
6. The 31 points did not come from the player who played the 41 minutes.
7. The player with the 7 assists was not the one who pulled down the 19 rebounds.
8. Only one of two things was true: Saturnino had the 8 rebounds, or Kendrick had the 12 assists.

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