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Can the same scramble be generated twice in the same round? #762

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timreyn opened this issue Jul 10, 2022 · 3 comments
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Can the same scramble be generated twice in the same round? #762

timreyn opened this issue Jul 10, 2022 · 3 comments

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@timreyn
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timreyn commented Jul 10, 2022

I'm not familiar enough with TNoodle code these days to answer this myself, but it came up in a discussion at NA Champs:

The probability of getting two of the same scrambles in the same 2x2 group (ignoring extras) is approximately 1 - 1/367416. In 2019 there were 5928 2x2 scramble sets generated, which means the probability per (normal, non-COVID-affected) year of this happening is about 1/60. Pyraminx, ignoring tips, is about 1/20 per year.

Is there any protection against this in TNoodle? If not, it might be worth adding.

@timreyn
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timreyn commented Jul 31, 2022

Thanks @gregorbg !

@timreyn timreyn closed this as completed Jul 31, 2022
@Jambrose777
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Uninformed question regarding this:
Is the same filtering done within MBLD scrambles?

@gregorbg
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gregorbg commented Aug 10, 2022

Yes! Pending a new TNoodle release, that is.

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