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Angelic Pacific badge proof of concept

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Klear:
I'm... doubtful. I need to do another proof of concept on UV, just to prove that it cannot be done. On the other hand, that's exactly what I was going for here and failed, so I'll not tempt it.

Rajhin:
Theoretically you can appear on cell near the stairs on every level (except Anomaly and Babel, but this isn't different from HNTR). So this challenge is doable on UV (and even N!). We can move on now.
No skill or fun here, just bruteforcing level generator. You can even calculate a probability of this.

Klear:

--- Quote from: Rajhin on April 08, 2013, 16:11 ---Theoretically you can appear on cell near the stairs on every level (except Anomaly and Babel, but this isn't different from HNTR). So this challenge is doable on UV (and even N!). We can move on now.
No skill or fun here, just bruteforcing level generator. You can even calculate a probability of this.

--- End quote ---

Sure, theoretically, but there are practical limits, like the patience of the most patient person in the world, or maybe heat-death of the universe =P

Matt_S:
I'd like to see a DoomRL TAS someday.

Uranium:

--- Quote from: Klear on April 08, 2013, 16:45 ---Sure, theoretically, but there are practical limits, like the patience of the most patient person in the world, or maybe heat-death of the universe =P

--- End quote ---

hmm...
Spoiler: Primitive, probably incorrect mathematics (click to show/hide)1368 squares on the walkable doomRL map (oh god I hope I did the multiplication right)
215 squares in vision range, assuming they aren't being blocked by walls or doors or 2Dev's mountain of badges

assuming spawn chance for stairs is uniform across the whole map, and completely ignoring any reduction in vision due to spawning on the outskirts of the map, the probability that the stairs are within your vision range is 215/1368 = 0.157 to three significant figures (seems sort of right, you can see around a tenth of the map with unobstructed vision, right...?)

Excluding entryway, Phobos Anomaly, Babel and Dis, there are 20 randomly generated levels.
I would take a guess that 0.157^20 is the probability that the stairs would spawn in vision range for every single level.
That calculation results in 8.45x10^-17.
Or, 0.0000000000000000845.
If you prefer, a 1.18x10^16 to one chance.

Please feel free to berate me on my appalling use of mathematics. I am going to use the excuse that I am tired and have not had a cup of tea in a while as an excuse, rather than the actual reason, me not being particularly good at any sort of statistics or probability.

And back sort of on topic:
I am glad that it's been proven possible!
I can easily imagine how enraging sergeants and blindly rampaging demons would be on this challenge - good luck getting it ;) !

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