What the Rain Left

Very Hard — logic-grid deduction puzzle

Rain blurred the group sheet for Gideon, Rodrigo, Torvald and Anacleto, and only scraps of memory are left to rebuild it.

Rain got into an open kit bag, and the group sheet came out as one big blur. Gideon, Rodrigo, Torvald and Anacleto had each captained a side. Each side wore a different shirt colour, finished on a different number of points and scored a different number of goals. The steward still remembers one thing he kept, which he calls the flanking tally. Line the sides up from the fewest points to the most. A side's flanking tally is not its own goals. It is the goals of the sides just before it and just after it in that line, added together. The side with the fewest points has only one neighbour, and so does the side with the most, so for either of them the tally is just that one neighbour's goals.

Clues

  1. Either Torvald's side scored 10 goals, or the white side finished on 6 points, but not both.
  2. Only one of these was true: Rodrigo wore the sky blue shirt, or Gideon's side scored 4 goals.
  3. Between them, the white side and the red side had 7 points.
  4. Gideon's side scored more goals than Rodrigo's, but fewer than Torvald's.
  5. The flanking tally for Torvald's side came to 7.
  6. The goal count of the sky blue side was lower than that of the red side.
  7. The maroon shirt, the side on 6 points and the side with 8 goals belonged to three different captains.
  8. No captain had more than one of these: 1 point, 10 goals, the sky blue shirt.

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