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Reasoning
6 Aug 20269 min readReasoning

A repeatable framework for seating-arrangement puzzles

Stop drawing ten circles and hoping. Order the clues by constraint strength and the grid fills itself.

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A chess board representing strategy

Puzzles are won before you draw

The mistake is reading clue one and immediately placing it. Strong solvers read all clues first and sort them: fixed positions (A sits third from the left), relative positions (B sits two places right of C), and conditionals (if D faces north then E sits next to F). Draw in that order and the grid rarely needs redrawing.

Count the unknowns before you start. A five-person row with three fixed clues is nearly solved; the same row with five relative clues needs a possibility tree. Knowing which puzzle you face tells you how much time to budget.

The constraint ladder

Place fixed clues first, one per line, and mark every derived fact immediately — if A is third from the left in a five-seat row, seats one and five have one neighbour each, which often resolves a relative clue for free.

Relative clues go second, using the fixed seats as anchors. Conditionals go last: assume one branch, check it against all clues within sixty seconds, and if it breaks, the other branch is your answer. Never hold two branches in your head — write the assumption down.

When to abandon

A puzzle that needs a third redraw has beaten you for now. Mark it, move on, and return with fresh eyes — puzzles are the highest time-risk questions on the paper, and five banked marks elsewhere beat one perfect grid.

What to do this week

Solve six puzzles with a notebook rule: no placing any clue until all clues are read and ranked. Time each one. Your redraw count should fall to zero by the fourth puzzle.

Practise it

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