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Roux Move Count Statistics - FB
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FB Square
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A fixed square takes 4.36 moves. Stats below is for building either one of the two FB squares toward a FB.
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OrientationAvg MovecountCumulative Distribution (100k sims)Comment
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fixed3.96(0 0.001)(1 0.005)(2 0.037)(3 0.236)(4 0.763)(5 0.998)(6 1.000)
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y3.23(0 0.003)(1 0.018)(2 0.134)(3 0.623)(4 0.995)(5 1.000)
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x2y2.86(0 0.005)(1 0.035)(2 0.251)(3 0.851)(4 1.000)
<= 3 movers increase from 62% to 85%. Pretty impressive.
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CN2.67(0 0.007)(1 0.052)(2 0.343)(3 0.929)(4 1.000)
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FB Last Pair
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FB last pair takes 4.08 moves on average.
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FBAvg MovecountCumulative Distribution (100k sims)
Exact distribution for fixed FB (out of a total of 7962624 cases)
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fixed6.70(0 0.000)(1 0.000)(2 0.000)(3 0.001)(4 0.008)(5 0.062)(6 0.343)(7 0.884)(8 1.000)
(0 0.00000075)(1 0.00000752)(2 0.00007816)(3 0.00082522)(4 0.00780348)(5 0.06211219)(6 0.34314424)(7 0.88527161)(8 0.99983165)(9 1.00000000)
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y5.96(0 0.000)(1 0.000)(2 0.000)(3 0.003)(4 0.030)(5 0.218)(6 0.788)(7 1.000)
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x2y5.60(0 0.000)(1 0.000)(2 0.001)(3 0.006)(4 0.059)(5 0.384)(6 0.947)(7 1.000)
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CN5.14(0 0.000)(1 0.000)(2 0.002)(3 0.018)(4 0.151)(5 0.686)(6 0.998)(7 1.000)
<= 5 movers increases from .38 to .69. Maybe CN actually worth it?
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FB + 1 (DR edge)Avg MovecountCumulative Distribution (100k sims)
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fixed7.64
(0 0.00000)(1 0.00000)(2 0.00001)(3 0.00007)(4 0.00085)(5 0.00701)(6 0.06230)(7 0.36582)(8 0.91927)(9 0.99996)(10 1.00000)
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y6.93
(0 0.00000)(1 0.00000)(2 0.00001)(3 0.00023)(4 0.00296)(5 0.02822)(6 0.21970)(7 0.81521)(8 0.99986)(9 1.00000)
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x2y6.59
(0 0.00000)(1 0.00000)(2 0.00007)(3 0.00044)(4 0.00563)(5 0.05506)(6 0.38617)(7 0.95963)(8 1.00000)
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CN6.14
(0 0.00000)(1 0.00000)(2 0.00016)(3 0.00144)(4 0.01657)(5 0.14652)(6 0.70098)(7 0.99905)(8 1.00000)
Again, <= 6 movers goes from .39 to .70.
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FB + 1 (DR edge) (QTM)
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RotationAvg MovecountCumulative Distribution (100k sims)
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none8.94
(0 0.000)(1 0.000)(2 0.000)(3 0.000)(4 0.000)(5 0.001)(6 0.008)(7 0.053)(8 0.261)(9 0.743)(10 0.994)(11 1.000)
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y8.10
(0 0.000)(1 0.000)(2 0.000)(3 0.000)(4 0.001)(5 0.005)(6 0.033)(7 0.192)(8 0.680)(9 0.993)(10 1.000)
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x2y7.68(0 0.000)(1 0.000)(2 0.000)(3 0.000)(4 0.001)(5 0.009)(6 0.065)(7 0.346)(8 0.896)(9 1.000)
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CN7.14(0 0.000)(1 0.000)(2 0.000)(3 0.001)(4 0.004)(5 0.027)(6 0.172)(7 0.661)(8 0.993)(9 1.000)
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Metric is implicitly HTM.
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For any questions / requests please contact @onionhoney in RMS discord.
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