BrSS vs Y 序列

本条目展示 BrSS 与 Y 序列 的对比分析。本条目内容来自梅天狸的分析。

$\varnothing =Y()$

\begin{align}s\\&0=Y(1)\\&0,0=Y(1,1)\\&0,1=Y(1,2)\\&0,1,1=Y(1,2,2)\\&0,1,2=Y(1,2,3)\\&0,1,2,3=Y(1,2,3,4)\\&0,1,[0,1]=Y(1,2,4)\\&0,1,[0,1],1,[0,1]=Y(1,2,4,2,4)\\&0,1,[0,1],2=Y(1,2,4,3)\\&0,1,[0,1],2,[0,0,1]=Y(1,2,4,3,5)\\&0,1,[0,1],[0,1]=Y(1,2,4,4)\\&0,1,[0,1],[0,1,0]=Y(1,2,4,5)\\&0,1,[0,1],[0,1,0],[0,1,0,0]=Y(1,2,4,5,6)\\&0,1,[0,1],[0,1,0],[0,1,0,1]=Y(1,2,4,5,7)\\&0,1,[0,1],[0,1,1]=Y(1,2,4,6)\\&0,1,[0,1],[0,1,1],[0,1,1,1]=Y(1,2,4,6,8)\\&0,1,[0,1],[0,1,2]=Y(1,2,4,7)\\&0,1,[0,1],[0,1,2],[0,1,2,0]=Y(1,2,4,7,8)\\&0,1,[0,1],[0,1,2],[0,1,2,0],[0,1,2,0,1],[0,1,2,0,1,2]=Y(1,2,4,7,8,10,14)\\&0,1,[0,1],[0,1,2],[0,1,2,1]=Y(1,2,4,7,9)\\&0,1,[0,1],[0,1,2],[0,1,2,1],[0,1,2,1,2]=Y(1,2,4,7,9,12)\\&0,1,[0,1],[0,1,2],[0,1,2,2]=Y(1,2,4,7,10)\\&0,1,[0,1],[0,1,2],[0,1,2,3]=Y(1,2,4,7,11)\\&0,1,[0,1],[0,1,[0,1]]=Y(1,2,4,8)\\&0,1,[0,1],[0,1,[0,1]],[0,1,2],[0,1,2,[0,0,1]]=Y(1,2,4,8,7,12)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1]]=Y(1,2,4,8,8)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],0]=Y(1,2,4,8,9)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],0],[0,1,[0,1],0,1],[0,1,[0,1],0,1,[0,1]]=Y(1,2,4,8,9,11,15)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],1]=Y(1,2,4,8,10)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],2]=Y(1,2,4,8,11)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1]]=Y(1,2,4,8,11,16)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1]]=Y(1,2,4,8,12)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,0]]=Y(1,2,4,8,13)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,1]]=Y(1,2,4,8,14)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,2]]=Y(1,2,4,8,15)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]]]=Y(1,2,4,8,16)\\&0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]]],[0,1,[0,1],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]]]]=Y(1,2,4,8,16,32)\\&0,2=Y(1,3)\end{align}

\begin{align}s\\&0,2,0,2=Y(1,3,1,3)\\&0,2,1=Y(1,3,2)\\&0,2,1,[0,1]=Y(1,3,2,4)\\&0,2,1,[0,1],[0,1,[0,1]]=Y(1,3,2,4,8)\\&0,2,1,[0,1,0]=Y(1,3,2,5)\\&0,2,1,[0,1,0],2,[0,0,1,0]=Y(1,3,2,5,3,6)\\&0,2,1,[0,1,0],[0,1]=Y(1,3,2,5,4)\\&0,2,1,[0,1,0],[0,1],[0,1,[0,1]]=Y(1,3,2,5,4,8)\\&0,2,1,[0,1,0],[0,1],[0,1,[0,1],0]=Y(1,3,2,5,4,9)\\&0,2,1,[0,1,0],[0,1],[0,1,[0,1],0],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]],0]=Y(1,3,2,5,4,9,8,17)\\&0,2,1,[0,1,0],[0,1,0]=Y(1,3,3)\\&0,2,1,[0,1,0],[0,1,0,0]=Y(1,3,4)\\&0,2,1,[0,1,0],[0,1,0,0],1,[0,1,0],[0,1,0,0]=Y(1,3,4,2,5,6)\\&0,2,1,[0,1,0],[0,1,0,0],[0,1]=Y(1,3,4,2,5,6,4)\\&0,2,1,[0,1,0],[0,1,0,0],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,0]=Y(1,3,4,2,5,6,4,9,10)\\&0,2,1,[0,1,0],[0,1,0,0],[0,1,0]=Y(1,3,4,2,5,6,5)\\&0,2,1,[0,1,0],[0,1,0,0],[0,1,0,0]=Y(1,3,4,2,5,6,6)\\&0,2,1,[0,1,0],[0,1,0,0],[0,1,0,0,0]=Y(1,3,4,2,5,6,7)\\&0,2,1,[0,1,0],[0,1,0,1]=Y(1,3,4,2,5,6,8)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,0]=Y(1,3,4,2,5,6,8,6)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,0],[0,1,0,0,1]=Y(1,3,4,2,5,6,8,6,8)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,0],[0,1,0,0,1],[0,1,0,0,0],[0,1,0,0,0,1]=Y(1,3,4,2,5,6,8,7,9)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1]=Y(1,3,4,2,5,6,8,8)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,0]=Y(1,3,4,2,5,6,8,9)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,0],[0,1,0,1,0,1]=Y(1,3,4,2,5,6,8,9,11)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,1]=Y(1,3,4,2,5,6,8,10)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,2]=Y(1,3,4,2,5,6,8,11)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,[0,1]]=Y(1,3,4,2,5,6,8,12)\\&0,2,1,[0,1,0],[0,1,0,1],[0,1,0,1,[0,1]],[0,1,0,1,[0,1],[0,1,[0,1]]]=Y(1,3,4,2,5,6,8,12,20)\\&0,2,1,[0,1,0],[0,1,0,1,0]=Y(1,3,4,2,5,6,9)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1],[0,1,0,1,[0,1],0]=Y(1,3,4,2,5,6,9,8,13)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1,0]=Y(1,3,4,2,5,6,9,9)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1,0,0]=Y(1,3,4,2,5,6,9,10)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1,0,1]=Y(1,3,4,2,5,6,9,10,12)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1,0,1],[0,1,0,1,0,1,[0,1]]=Y(1,3,4,2,5,6,9,10,12,16)\\&0,2,1,[0,1,0],[0,1,0,1,0],[0,1,0,1,0,1,0]=Y(1,3,4,2,5,6,9,10,13)\\&0,2,1,[0,1,1]=Y(1,3,4,2,5,7)\\&0,2,1,[0,1,1],1,[0,1,0]=Y(1,3,4,2,5,7,2,5)\\&0,2,1,[0,1,1],1,[0,1,1]=Y(1,3,4,2,5,7,2,5,7)\\&0,2,1,[0,1,1],2=Y(1,3,4,2,5,7,3)\\&0,2,1,[0,1,1],2,[0,0,1,1]=Y(1,3,4,2,5,7,3,6,8)\\&0,2,1,[0,1,1],[0,1]=Y(1,3,4,2,5,7,4)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1]]=Y(1,3,4,2,5,7,4,8)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0]=Y(1,3,4,2,5,7,4,9)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0]=Y(1,3,4,2,5,7,4,9,9)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1]=Y(1,3,4,2,5,7,4,9,10,12)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1],[0,1,[0,1],0,1,[0,1]]=Y(1,3,4,2,5,7,4,9,10,12,16)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,0]=Y(1,3,4,2,5,7,4,9,10,13)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,0],[0,1,[0,1],0,1,0,1]=Y(1,3,4,2,5,7,4,9,10,13,14,16)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,0],[0,1,[0,1],0,1,0,1,0]=Y(1,3,4,2,5,7,4,9,10,13,14,17)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1]=Y(1,3,4,2,5,7,4,9,10,13,15)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1]=Y(1,3,4,2,5,7,4,9,10,13,15,9,10,13,15)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,0]=Y(1,3,4,2,5,7,4,9,10,13,15,10)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,0],[0,1,[0,1],0,0,1,0]=Y(1,3,4,2,5,7,4,9,10,13,15,10,13)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,0],[0,1,[0,1],0,0,1,1]=Y(1,3,4,2,5,7,4,9,10,13,15,10,13,15)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,1]=Y(1,3,4,2,5,7,4,9,10,13,15,12)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,1],[0,1,[0,1],0,1,[0,1]]=Y(1,3,4,2,5,7,4,9,10,13,15,12,16)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,1],[0,1,[0,1],0,1,[0,1],0]=Y(1,3,4,2,5,7,4,9,10,13,15,12,17)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],0],[0,1,[0,1],0,1,1],[0,1,[0,1],0,1],[0,1,[0,1],0,1,[0,1],0],[0,1,[0,1],0,1,[0,1],0,1,1]=Y(1,3,4,2,5,7,4,9,10,13,15,12,17,18,21,23)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1]=Y(1,3,4,2,5,7,4,9,11)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,0]=Y(1,3,4,2,5,7,4,9,11,12)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,0],[0,1,[0,1],1,0,1,1]=Y(1,3,4,2,5,7,4,9,11,12,15,17)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,0],[0,1,[0,1],1,0,1,1],[0,1,[0,1],1,0,1],[0,1,[0,1],1,0,1,[0,1],0]=Y(1,3,4,2,5,7,4,9,11,12,15,17,14,19)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,0],[0,1,[0,1],1,0,1,1],[0,1,[0,1],1,0,1],[0,1,[0,1],1,0,1,[0,1],1]=Y(1,3,4,2,5,7,4,9,11,12,15,17,14,19,21)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,1]=Y(1,3,4,2,5,7,4,9,11,13)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,2]=Y(1,3,4,2,5,7,4,9,11,14)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,2],[0,1,[0,1],1,2,3]=Y(1,3,4,2,5,7,4,9,11,14,18)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1]]=Y(1,3,4,2,5,7,4,9,11,15)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1]],[0,1,[0,1],1,[0,1],[0,1,[0,1]]]=Y(1,3,4,2,5,7,4,9,11,15,23)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1],0]=Y(1,3,4,2,5,7,4,9,11,16)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1],0],[0,1,[0,1],1,[0,1],0,1,1]=Y(1,3,4,2,5,7,4,9,11,16,17,20,22)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1],1]=Y(1,3,4,2,5,7,4,9,11,16,18)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],1],[0,1,[0,1],1,[0,1],1],[0,1,[0,1],1,[0,1],1,[0,1],0]=Y(1,3,4,2,5,7,4,9,11,16,18,23)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2]=Y(1,3,4,2,5,7,4,9,12)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,0]=Y(1,3,4,2,5,7,4,9,12,13)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,1]=Y(1,3,4,2,5,7,4,9,12,14)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,2]=Y(1,3,4,2,5,7,4,9,12,15)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,3]=Y(1,3,4,2,5,7,4,9,12,16)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1]]=Y(1,3,4,2,5,7,4,9,12,17)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1]],[0,1,[0,1],2,[0,0,1],[0,0,1,[0,1]]]=Y(1,3,4,2,5,7,4,9,12,17,26)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1],0]=Y(1,3,4,2,5,7,4,9,12,18)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1],3]=Y(1,3,4,2,5,7,4,9,12,18,22)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],2],[0,1,[0,1],2,[0,0,1],3],[0,1,[0,1],2,[0,0,1],3,[0,0,0,1]]=Y(1,3,4,2,5,7,4,9,12,18,22,29)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,4,9,13)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]],0]=Y(1,3,4,2,5,7,4,9,13,8,17)\\&0,2,1,[0,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]],[0,1,[0,1]]]=Y(1,3,4,2,5,7,4,9,13,8,17,25)\\&0,2,2=Y(1,3,4,2,5,7,5)\end{align}

\begin{align}s\\&0,2,2,1,[0,1,0]=Y(1,3,4,2,5,7,5,2,5)\\&0,2,2,1,[0,1,1]=Y(1,3,4,2,5,7,5,2,5,7)\\&0,2,2,1,[0,1,1],[0,1]=Y(1,3,4,2,5,7,5,2,5,7,4)\\&0,2,2,1,[0,1,1],[0,1],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,5,2,5,7,4,9,13)\\&0,2,2,1,[0,1,1],[0,1,0]=Y(1,3,4,2,5,7,5,2,5,7,5)\\&0,2,2,1,[0,1,1],[0,1,0],2=Y(1,3,4,2,5,7,5,3)\\&0,2,2,1,[0,1,1],[0,1,0],2,[0,0,1]=Y(1,3,4,2,5,7,5,3,6)\\&0,2,2,1,[0,1,1],[0,1,0],2,[0,0,1,1],[0,0,1,0]=Y(1,3,4,2,5,7,5,3,6,8,6)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1]=Y(1,3,4,2,5,7,5,4)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1],[0,1,[0,1],0]=Y(1,3,4,2,5,7,5,4,9)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,5,4,9,13)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],0]=Y(1,3,4,2,5,7,5,4,9,13,9)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0]=Y(1,3,4,2,5,7,5,5)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,0]=Y(1,3,4,2,5,7,5,6)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1]=Y(1,3,4,2,5,7,5,6,8)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1],[0,1,0,1,[0,1]]=Y(1,3,4,2,5,7,5,6,8,12)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,0]=Y(1,3,4,2,5,7,5,6,9)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,0],[0,1,0,1,0,1]=Y(1,3,4,2,5,7,5,6,9,10,12)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,0],[0,1,0,1,0,1,0]=Y(1,3,4,2,5,7,5,6,9,10,13)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,1]=Y(1,3,4,2,5,7,5,6,9,11)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,1],[0,1,0,1]=Y(1,3,4,2,5,7,5,6,9,11,8)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,1],[0,1,0,1],[0,1,0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,5,6,9,11,8,13,17)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,1],[0,1,0,1,0]=Y(1,3,4,2,5,7,5,6,9,11,9)\\&0,2,2,1,[0,1,1],[0,1,0],[0,1,0,1,1],[0,1,0,1,0],[0,1,0,1,0,1,1],[0,1,0,1,0,1,0]=Y(1,3,4,2,5,7,5,6,9,11,9,10,13,14,13)\\&0,2,2,1,[0,1,1],[0,1,1]=Y(1,3,4,2,5,7,5,7)\\&0,2,2,1,[0,1,1],[0,1,1],[0,1]=Y(1,3,4,2,5,7,5,7,4)\\&0,2,2,1,[0,1,1],[0,1,1],[0,1],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,5,7,4,9,13)\\&0,2,2,1,[0,1,1],[0,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],0]=Y(1,3,4,2,5,7,5,7,4,9,13,9)\\&0,2,2,1,[0,1,1],[0,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],1]=Y(1,3,4,2,5,7,5,7,4,9,13,9,11)\\&0,2,2,1,[0,1,1],[0,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,5,7,4,9,13,9,13)\\&0,2,2,2=Y(1,3,4,2,5,7,5,7,5)\\&0,2,2,2,2=Y(1,3,4,2,5,7,5,7,5,7,5)\\&0,2,3=Y(1,3,4,2,5,7,6)\\&0,2,3,1=Y(1,3,4,2,5,7,6,2)\\&0,2,3,1,[0,1,1]=Y(1,3,4,2,5,7,6,2,5,7)\\&0,2,3,1,[0,1,1],[0,1,1]=Y(1,3,4,2,5,7,6,2,5,7,5,7)\\&0,2,3,1,[0,1,1],[0,1,1,0]=Y(1,3,4,2,5,7,6,2,5,7,6)\\&0,2,3,1,[0,1,1],[0,1,1,0],2,[0,0,1,1],[0,0,1,1,0]=Y(1,3,4,2,5,7,6,3,6,8,7)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1]=Y(1,3,4,2,5,7,6,4)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],0]=Y(1,3,4,2,5,7,6,4,9,13,10)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,0]=Y(1,3,4,2,5,7,6,5)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1]=Y(1,3,4,2,5,7,6,5,7)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0]=Y(1,3,4,2,5,7,6,6)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1]=Y(1,3,4,2,5,7,6,8)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1],[0,1,1,0,1,[0,1]]=Y(1,3,4,2,5,7,6,8,12)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1,0]=Y(1,3,4,2,5,7,6,9)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1,0],[0,1,1,0,1,0,1,0]=Y(1,3,4,2,5,7,6,9,10,13)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1,1]=Y(1,3,4,2,5,7,6,9,11)\\&0,2,3,1,[0,1,1],[0,1,1,0],[0,1,1,0,1,1],[0,1,1,0,1,1,0],[0,1,1,0,1,1,0,1,1]=Y(1,3,4,2,5,7,6,9,11,12,15,17)\\&0,2,3,1,[0,1,1],[0,1,1,1]=Y(1,3,4,2,5,7,7)\\&0,2,3,1,[0,1,1],[0,1,1,1],[0,1]=Y(1,3,4,2,5,7,7,4)\\&0,2,3,1,[0,1,1],[0,1,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],0]=Y(1,3,4,2,5,7,7,4,9,13,10)\\&0,2,3,1,[0,1,1],[0,1,1,1],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1]]=Y(1,3,4,2,5,7,7,4,9,13,13)\\&0,2,3,2=Y(1,3,4,2,5,7,7,5)\\&0,2,3,2,2=Y(1,3,4,2,5,7,7,5,7,5)\\&0,2,3,2,3=Y(1,3,4,2,5,7,7,5,7,6)\\&0,2,3,2,3,2=Y(1,3,4,2,5,7,7,5,7,7,5)\\&0,2,3,3=Y(1,3,4,2,5,7,7,6)\\&0,2,3,3,2=Y(1,3,4,2,5,7,7,7,5)\\&0,2,3,4=Y(1,3,4,2,5,7,8)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0]=Y(1,3,4,2,5,7,8,2,5,7,8)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0],[0,1,0]=Y(1,3,4,2,5,7,8,5)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0],[0,1,1]=Y(1,3,4,2,5,7,8,5,7)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0],[0,1,1],[0,1,1,1]=Y(1,3,4,2,5,7,8,5,7,7)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0],[0,1,1,0]=Y(1,3,4,2,5,7,8,6)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,0],[0,1,1,1]=Y(1,3,4,2,5,7,8,7)\\&0,2,3,4,1,[0,1,1],[0,1,1,1],[0,1,1,1,1]=Y(1,3,4,2,5,7,9)\\&0,2,3,4,2=Y(1,3,4,2,5,7,9,5)\\&0,2,3,4,5,2=Y(1,3,4,2,5,7,9,11,5)\\&0,2,[0,0,1]=Y(1,3,4,2,5,7,10)\end{align}

\begin{align}s\\&0,2,[0,0,1],1=Y(1,3,4,2,5,7,10,2)\\&0,2,[0,0,1],1,[0,1,1]=Y(1,3,4,2,5,7,10,2,5,7)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,1]=Y(1,3,4,2,5,7,10,2,5,7,7)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2]=Y(1,3,4,2,5,7,10,2,5,7,10)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1]=Y(1,3,4,2,5,7,10,4)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]]=Y(1,3,4,2,5,7,10,4,9,13)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1]]=Y(1,3,4,2,5,7,10,4,9,13,13)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],0]=Y(1,3,4,2,5,7,10,4,9,13,18,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],0]=Y(1,3,4,2,5,7,10,4,9,13,18,19)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],1]=Y(1,3,4,2,5,7,10,4,9,13,18,20)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],2]=Y(1,3,4,2,5,7,10,4,9,13,18,21)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1]]=Y(1,3,4,2,5,7,10,4,9,13,18,22)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1]],[0,1,[0,1],[0,1],[0,1,0],[0,1],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,22,27)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,23)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0],[0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,23,28)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,24)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1]]=Y(1,3,4,2,5,7,10,4,9,13,18,25)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],[0,1,0,1,[0,1]]]=Y(1,3,4,2,5,7,10,4,9,13,18,25,36)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],0]=Y(1,3,4,2,5,7,10,4,9,13,18,26)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],1]=Y(1,3,4,2,5,7,10,4,9,13,18,26,28)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],[0,1]]=Y(1,3,4,2,5,7,10,4,9,13,18,26,30)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],[0,1,0,1]]=Y(1,3,4,2,5,7,10,4,9,13,18,26,33)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,0]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],[0,1,0,1]],[0,1,[0,1],[0,1],[0,1,0],[0,1,0,1],[0,1,0,1],[0,1,0,1,0]]=Y(1,3,4,2,5,7,10,4,9,13,18,26,33,41)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,1]]=Y(1,3,4,2,5,7,10,4,9,13,19)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,1]],[0,1,[0,1]]=Y(1,3,4,2,5,7,10,4,9,13,19,8)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,1]],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]],[0,1,[0,1]]],[0,1,[0,1]],[0,1,[0,1],[0,1,[0,1]],[0,1,[0,1]],[0,1,[0,1],[0,1]]]=Y(1,3,4,2,5,7,10,4,9,13,19,8,17,25,37)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1]=Y(1,3,4,2,5,7,10,4,9,13,19,9,11)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,9,13,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1],[0,1,1,2]=Y(1,3,4,2,5,7,10,4,9,13,19,9,13,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1],[0,1,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,9,13,19,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,1]=Y(1,3,4,2,5,7,10,4,9,13,19,11)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,1],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,13,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,1],[0,1,1,1,2]=Y(1,3,4,2,5,7,10,4,9,13,19,13,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,1],[0,1,1,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,13,19,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,1],[0,1,1,1,2],[0,1,1,1,1],[0,1,1,1,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,17,23,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2]=Y(1,3,4,2,5,7,10,4,9,13,19,18)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,19,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,0]=Y(1,3,4,2,5,7,10,4,9,13,19,20)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,1]=Y(1,3,4,2,5,7,10,4,9,13,19,21)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,1],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,23,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,1],[0,1,1,2,1,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,23,29,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,2]=Y(1,3,4,2,5,7,10,4,9,13,19,24)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,2],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,25,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,3]=Y(1,3,4,2,5,7,10,4,9,13,19,26)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,2],[0,1,1,2,3],[0,1,0]=Y(1,3,4,2,5,7,10,4,9,13,19,27,9)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,[0,1]]=Y(1,3,4,2,5,7,10,4,9,13,20)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,[0,1]],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,2]]=Y(1,3,4,2,5,7,10,4,9,13,20,4,9,13,20)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,[0,1]],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,2]],[0,1,[0,1],0]=Y(1,3,4,2,5,7,10,4,9,13,20,8,17,25,39,17)\\&0,2,[0,0,1],1,[0,1,1],[0,1,1,[0,1]],[0,1],[0,1,[0,1],[0,1]],[0,1,[0,1],[0,1],[0,1,[0,1]]]=Y(1,3,4,2,5,7,10,4,9,13,20,8,17,25,40)\\&0,2,[0,0,1],2=Y(1,3,4,2,5,7,10,5)\end{align}

\begin{align}s\\&0,2,[0,0,1],2,2=Y(1,3,4,2,5,7,10,5,7,5)\\&0,2,[0,0,1],2,3,2=Y(1,3,4,2,5,7,10,5,7,7,5)\\&0,2,[0,0,1],2,[0,0,1],2=Y(1,3,4,2,5,7,10,5,7,10,5)\\&0,2,[0,0,1],3=Y(1,3,4,2,5,7,10,6)\\&0,2,[0,0,1],3,2=Y(1,3,4,2,5,7,10,7,5)\\&0,2,[0,0,1],3,[0,0,1]=Y(1,3,4,2,5,7,10,7,10)\\&0,2,[0,0,1],3,[0,0,1],4,2=Y(1,3,4,2,5,7,10,9,5)\\&0,2,[0,0,1],3,[0,0,1],4,[0,0,1]=Y(1,3,4,2,5,7,10,9,12)\\&0,2,[0,0,1],[0,0,1]=Y(1,3,4,2,5,7,10,10)\\&0,2,[0,0,1],[0,0,1,0]=Y(1,3,4,2,5,7,10,11)\\&0,2,[0,0,1],[0,0,1,0],2=Y(1,3,4,2,5,7,10,12,5)\\&0,2,[0,0,1],[0,0,1,0],[0,0,1,0,1]=Y(1,3,4,2,5,7,10,12,15)\\&0,2,[0,0,1],[0,0,1,1]=Y(1,3,4,2,5,7,10,13)\\&0,2,[0,0,1],[0,0,1,1],[0,0,1,1,1]=Y(1,3,4,2,5,7,10,13,16)\\&0,2,[0,0,1],[0,0,1,2]=Y(1,3,4,2,5,7,10,14)\\&0,2,[0,0,1],[0,0,1,2],[0,0,1,2,3]=Y(1,3,4,2,5,7,10,14,19)\\&0,2,[0,0,1],[0,0,1,[0,1]]=Y(1,3,4,2,5,7,11)\\&0,2,[0,0,1],[0,0,1,[0,1]],[0,0,1,[0,1],[0,1,[0,1]]]=Y(1,3,4,2,5,7,11,19)\\&0,2,[0,0,2]=Y(1,3,4,2,5,7,12)\end{align}