π tap anchor stones Β· π‘ cover every cove Β· π test the tide sweep
HARBOR MAP Β· PLACE THE BEACONS
π΅οΈββοΈ
Tidewatch Territory!
Detective Coral has a case: someone stole every harbor watchtower! Rebuild a tiny beacon crew so even the farthest ship hears the storm warning in time.
π Pick anchor stones
π¨ Watch the red rope
π Move any beacon
π Sweep every cove
π
βββ
MASTER TIDEWARDEN
Every Harbor Hears the Bell!
π
You discovered: MINIMAX LOCATION!
You did not only help the nearest cove. You kept moving beacons until the single farthest cove had the shortest possible journey.
That is worst-case optimization, also called the k-center problem: choose a limited number of centers, connect every place to its nearest center, then minimize the longest connection. Cities use it to place fire stations, hospitals, Wi-Fi towers, and rescue bases so nobody is dangerously far from help.
Next quest: another advanced thinking adventure awaits.