Game Mode
Games here are not distractions from learning. They make the mental move physical enough to remember, then send you back to the real derivation.
Stack Climber
Build the contract, descend the call stack, find the base case, and climb back with answers.
Algorithm Relay
Carry one solution through representation, invariant, frontier, state, and proof rooms.
Invariant Inspector
Watch a structure break, locate the first illegal state, and repair the operation that caused it.
Bike Route Runner
Push a frontier through a graph and learn when layers, costs, or events change the next move.
Subway Switch Runner
Switch through a looping subway, get trapped once, then learn why graph searches remember visited stations.
Decision Garden
Grow a decision tree, undo choices cleanly, and cut branches only when you can prove they cannot work.
State Forge
Design the smallest state that keeps a future answer recoverable, then compress the table around it.
Compression Workshop
Replace repeated scanning with structures that remember exactly the operations the problem asks for.
Proof Arena
Construct counterexamples, compare naive and optimal traces, and earn an optimization only when it is safe.
You physically descend the call stack, meet the base case, and return values upward. The game trains the shape before the code.