Random Cog Pedro Spot
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Random Cog Pedro Spot, or RCPS for short, is the theory that it is possible to gain enough speed from the Tick Tock Clock Pedro Spot on the random setting to jump straight to the SotT star, which would save an A press.
The basics
In Tick Tock Clock, there is a Pedro Spot in between two of the cogs. Theoretically, if RNG was consistent enough to let Mario stay inside the Pedro Spot for about 800 frames, Mario could gain enough positive horizontal speed that, after A is pressed, would be enough to reach the Stomp on the Thwomp star. This would allow us to collect Stomp on the Thwomp in 1 A press, reducing the current count for the ABC to 18.
How the cogs work
(Adapted from Iwer Sonsch's Google Doc)
The cogs' RNG calls
A cog on the random setting calls RNG whenever its angular velocity (AV) equals its target angular velocity (TAV). It then performs 2 RNG calls, one for the magnitude of its next TAV, one for its sign. The possible resulting TAVs are:
| RNG | 0 mod 7 | 1 mod 7 | 2 mod 7 | 3 mod 7 | 4 mod 7 | 5 mod 7 | 6 mod 7 |
|---|---|---|---|---|---|---|---|
| <32768 | 0 (0) | -200 (-1) | -400 (-2) | -600 (-3) | -800 (4) | -1000 (5) | -1200 (6) |
| >32767 | 0 (0) | 200 (+1) | 400 (+4) | 600 (+3) | 800 (+4) | 1000 (+5) | 1200 (+6) |
The problems
This is extremely difficult, however, since there are 10^130 possible states; the chances of finding a successful state is 1 in 10^85. A few dozen objects in TTC call RNG, meaning a desirable state is incredibly hard to achieve. Adding to this, there is no way to manipulate RNG while inside the Pedro Spot; the only way is to manipulate RNG before entering the Pedro Spot using dust.