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@joey: 8:13.34 success! The memo time was a shocking (for me) 2:14. But I'm still slow working out the cycles while solving, and I'm always confused when I get to the end of a cycle. This one had 2 edge cycles and 2 corner cycles, so it was a worse than average case. I would imagine this method could be quite good for lucky cases where everything is a single cycle (which are actually fairly common cases). It might be the better way to go for fast singles, but I suspect it's worse for getting successful averages.
Since one of my big motivators was to do square-1 in relays and multis, I'll probably stick with my approach. But I'll mention your variant in my web page, if you don't mind.
By the way, I think one thing that may keep us from ever having square-1 BLD in official competitions is the possibility of a lucky scramble. If anyone ever gets an already-squared scramble, they'll blow the world record out of the water, and the only way to beat it will be to get another lucky scramble. Perhaps we could add it to official competitions with the requirement that any scramble must be at least 2 moves from square?
Since one of my big motivators was to do square-1 in relays and multis, I'll probably stick with my approach. But I'll mention your variant in my web page, if you don't mind.
By the way, I think one thing that may keep us from ever having square-1 BLD in official competitions is the possibility of a lucky scramble. If anyone ever gets an already-squared scramble, they'll blow the world record out of the water, and the only way to beat it will be to get another lucky scramble. Perhaps we could add it to official competitions with the requirement that any scramble must be at least 2 moves from square?
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