ON TONIGHT'S EPISODE OF WILL IT FLUSH?! ... WILL IT FLUSH?!?
Operations: Void, Jettison, Panic
Language :
Atomics: Toilets, Toilet Agents that Use Toilets, and Liquids
Functions: Urinos, Skatos, Cynthos, Feathers, and Anchors
in ranked order of Hardness; Anchors are "computer just can't" axiomatically ie in Domain of Real Numbers whereas Urinos is just P
Urinos (P): The simplest level, where basic toilet functionality is simulated, and the sailor completes their task without additional constraints.
Skatos (P + TP): Adds toilet paper constraints, but the system is still solvable within polynomial time.
Cynthos (P + TP + Friend): Introduces more complexity by checking for friend preferences, adding further logic but still solvable.
Feathers (P + TP + Friend + Weight): This level brings the problem closer to NP, where weight constraints can cause the toilet to reject users if they exceed the capacity.
Anchors (Impossible): This level represents tasks that cannot be computed within any practical time frame, simulating impossible real-time problems.
_ Turn 1
Applying wind force: 0.45, wave force: -0.89
Sailor Left decides to apply base pressure to maintain balance.
Sailor Left applying base pressure: 2.45 on left side
Sailor Right decides to apply base pressure to maintain balance.
Sailor Right applying base pressure: 2.30 on right side
Boat tilt angle: -0.94 degrees
Turn 2
Applying wind force: -0.38, wave force: 0.27
Sailor Left decides to add more chemical pressure.
Sailor Left adding chemical pressure: 1.29 on left side
Sailor Right decides to add more chemical pressure.
Sailor Right adding chemical pressure: 1.41 on right side
Boat tilt angle: -0.85 degrees
...
Boat capsized by right side! _
Base Case (DOF 1): Simple balance control. Each sailor applies a weight (pressure) on their side. It's a basic system solvable in polynomial time, similar to the Knapsack problem, where the goal is to balance the boat by ensuring equal weight on both sides.
DOF 2: Chemical pressure. Sailors add chemicals to the water that influence the overall weight distribution. The problem gets more complex as the chemicals interact, requiring additional calculations for fluid dynamics. This makes the problem harder than the base case.
DOF 3: Chemical Reactions. The sailors not only use chemicals but also initiate chemical reactions that introduce dynamic pressures (expansions or contractions). This adds an exponential increase in complexity, requiring real-time adjustment for both sides to maintain balance.
DOF 4: Environmental Factors (Wind, Waves, etc.). These external factors add noise to the system, making it exponentially harder to predict and balance the boat.
DOF 5: Optimization of Sailor Actions. The sailors must optimize their actions based on the boat's dynamic state, requiring them to solve an NP-hard-like problem in real-time, such as calculating the optimal moment and type of chemical to add.