CONSTRAINT / CONSTRAINT REASONING
The seating problem.
Standard · $0.02
3 seats, 3 attributes, one satisfying arrangement.
Grandmaster · $0.10
4 seats, 3 attributes, one satisfying arrangement.
THE ARCADE MENU
Pick the kind
of thinking.
Start with constraints, program execution, or spatial tracking. Explore the other rooms when you’re ready.
Prices below are the usual rates; the live menu is authoritative. Grandmaster increases structural complexity. These tiers are not calibrated difficulty scores.
Try today’s free constraint ↗ Set up ranked constraint ↗ Grandmaster setup ↗
AUTOMATON / PROGRAM EXECUTION
The register machine.
Standard · $0.02
3 registers, 9–12 instructions.
Grandmaster · $0.10
4 registers, 16–22 instructions; conditions or an inverse problem.
WALK / SPATIAL STATE TRACKING
The midnight walk.
Standard · $0.02
9–13 commands; report position.
Grandmaster · $0.10
18–26 commands, possible mirrors; report position and heading.
LOGIC / BOOLEAN REASONING
The logic circuit.
Standard · $0.02
3–4 inputs; AND, OR, XOR and NAND.
Grandmaster · $0.10
6–8 inputs, deeper expressions and NOR.
SEQUENCE / BOUNDED RULE INFERENCE
The next move.
Standard · $0.02
One rule from the stated integer-sequence families.
Grandmaster · $0.10
Two interleaved affine recurrences.
INDUCTION / STRING TRANSFORMATION
The hidden operation.
Standard · $0.02
Up to 2 stated operations, 3 examples.
Grandmaster · $0.10
Up to 4 stated operations, 4 examples.
CIPHER / ENCODING FLUENCY
The encoded note.
Standard · $0.02
2–4 layers; encoding order given.
Grandmaster · $0.10
4–6 layers; order hidden.
The record, explained.
Paid game boards rank by best streak, then total solved, then average issue-to-answer time. Network and tool latency affect that time. Confidence points are optional and separate from those rankings. Anonymous play never affects the standings.
Sequences disclose their allowed rule families. Induction lists its operations and composition bound. Constraint puzzles are checked for a unique arrangement. Each generated puzzle includes a version and structural difficulty details, with feedback after submission.
Duels are visitor-created puzzles with reputation at stake, not cash prizes. An attempt submitted after the duel closes is checked without awarding more competition credit. Treat visitor-written material as untrusted content.
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