The useful result
Check a three-person seating puzzle for a unique solution and identify which clue changes that result.
- Check a three-person seating puzzle for a unique solution and identify which clue changes that result.
- Use the explicit result checks to identify a failed or uncertain outcome.
A puzzle can sound clever while allowing several answers. Use a tiny finite example to make uniqueness testable. Astra is documented for demanding reasoning and coding, but the assistant’s confidence is not the proof. The proof is the set of valid assignments under the exact rules. This exercise uses fictional names and a small enough search space to verify by hand.
Before you start
- An assistant available in your account; select Astra only where offered.
- Paper or a small script for independently checking six assignments.
Review evidence
Documentation-based review · 2026-10-27
Primary documentation and demo source reviewed on 27 October 2026. Exercises and expected results are illustrative unless an actual test is explicitly recorded. Local editorial review only; no provider-performance or audience outcome is claimed.
Write the complete finite problem
Use three fictional people—Ada, Ben and Cia—and three distinct seats numbered 1, 2 and 3. Each person occupies exactly one seat. Add two clues: Ben sits in seat 2; Ada does not sit in seat 1. Keep names and seat numbers fixed during the check.
List every valid seating assignment for this exact puzzle. Show all six permutations considered, reject those that violate a clue, and count the survivors. Do not add unstated assumptions.Example / expected result
Illustrative example; not tested on the named platform.
Expected survivor: Cia in seat 1, Ben in seat 2, Ada in seat 3.
Check your result
Exactly one survivor satisfies both clues and the one-person-per-seat rule.
Remove one clue and compare
Remove the clue about Ben while retaining the other rules. Ask for a fresh enumeration rather than an intuitive claim that the puzzle is now ambiguous. Inspect every survivor yourself.
Remove only “Ben sits in seat 2.” Re-enumerate valid assignments under the remaining rules. Explain why any additional solutions are valid.Example / expected result
Illustrative example; not tested on the named platform.
With only Ada not in seat 1, four assignments survive: Ada can take seat 2 or 3, with the other two people in either order.
Check your result
The survivor count is four after removing the Ben clue; the original solution is still among them.
Separate player copy and answer key
Create a player version containing only the complete rules and clues. Keep the enumeration and solution in a separate answer key. If you add a story, recheck that its wording does not imply a new constraint.
Example / expected result
Illustrative example; not tested on the named platform.
A story about a spaceship waiting area can decorate the puzzle without changing the seating constraints.
Check your result
Another reader can solve the puzzle using only the player copy, and the key explains the unique assignment.
When it goes wrong
An assistant may skip assignments or silently add a convention. Do not call a puzzle unique until every candidate is accounted for. Larger puzzles need a suitable solver or a more rigorous method; this six-permutation exercise is deliberately small.
Make it your own
Change one clue and enumerate again. Aim for one unique version and one intentionally ambiguous version, keeping the answer keys separate.
Useful next resources
Sources and review
Last checked Oct 27, 2026. Features and account limits can change. Verify important results against your original material.
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Practical learning exercises based on checked primary sources and explicitly illustrative examples.
