Cube.py

import copy
perfect_cube={'U':['W']*9,'F':['R']*9,'D':['Y']*9,'B':['O']*9,'L':['G']*9,'R':['B']*9}
def move(face,cube,row,cycling,rev=0):
     cubenew = copy.deepcopy(cube)
     if rev==1:
    cycling = [i for i in reversed(cycling)]
     for i in row:
             cubenew[cycling[0]][i]=cube[cycling[1]][i]
             cubenew[cycling[1]][i]=cube[cycling[2]][i]
             cubenew[cycling[2]][i]=cube[cycling[3]][i]
             cubenew[cycling[3]][i]=cube[cycling[0]][i]
     if not rev:
    for i,j,k,l in zip([0,1,2],[2,5,8],[8,7,6],[6,3,0]):
         cubenew[face][i]=cube[face][j]
             cubenew[face][j]=cube[face][k]
             cubenew[face][k]=cube[face][l]
             cubenew[face][l]=cube[face][i]
     else:
    for i,j,k,l in zip([0,1,2],[6,3,0],[8,7,6],[2,5,8]):
         cubenew[face][i]=cube[face][j]
             cubenew[face][j]=cube[face][k]
             cubenew[face][k]=cube[face][l]
             cubenew[face][l]=cube[face][i]
     return cubenew

def fbmove(face,cube,row,cycling,rev=0):
     cubenew = copy.deepcopy(cube)
     for i,j,k,l in row:
             cubenew[cycling[0]][i]=cube[cycling[1]][j]
             cubenew[cycling[1]][j]=cube[cycling[2]][k]
             cubenew[cycling[2]][k]=cube[cycling[3]][l]
             cubenew[cycling[3]][l]=cube[cycling[0]][i]
     if not rev:
    for i,j,k,l in zip([0,1,2],[2,5,8],[8,7,6],[6,3,0]):
         cubenew[face][i]=cube[face][j]
             cubenew[face][j]=cube[face][k]
             cubenew[face][k]=cube[face][l]
             cubenew[face][l]=cube[face][i]
     else:
    for i,j,k,l in zip([0,1,2],[6,3,0],[8,7,6],[2,5,8]):
         cubenew[face][i]=cube[face][j]
             cubenew[face][j]=cube[face][k]
             cubenew[face][k]=cube[face][l]
             cubenew[face][l]=cube[face][i]
     return cubenew

R = lambda c: move('R',c,[6,7,8],['U','F','D','B'])
Rdash = lambda c: move('R',c,[8,7,6],['U','F','D','B'],1)
L = lambda c: move('L',c,[0,1,2],['B','D','F','U'])
Ldash = lambda c: move('L',c,[2,1,0],['B','D','F','U'],1)
U = lambda c: fbmove('U',c,zip([0,3,6],[0,3,6],[8,5,2],[0,3,6]),['F','R','B','L'])
Udash = lambda c: fbmove('U',c,zip([0,3,6],[8,5,2],[0,3,6],[0,3,6]),['L','B','R','F'],1)
D = lambda c: fbmove('D',c,zip([8,5,2],[0,3,6],[8,5,2],[8,5,2]),['L','B','R','F'])
Ddash = lambda c: fbmove('D',c,zip([8,5,2],[8,5,2],[0,3,6],[8,5,2]),['F','R','B','L'],1)
F = lambda c: fbmove('F',c,zip([2,5,8],[8,7,6],[6,3,0],[0,1,2]),['U','L','D','R'])
Fdash = lambda c: fbmove('F',c,zip([0,1,2],[6,3,0],[8,7,6],[2,5,8]),['R','D','L','U'],1)
B = lambda c: fbmove('B',c,zip([6,7,8],[8,5,2],[2,1,0],[0,3,6]),['R','D','L','U'])
Bdash = lambda c: fbmove('B',c,zip([0,3,6],[2,1,0],[8,5,2],[6,7,8]),['U','L','D','R'],1)

def countt(s):
     c = copy.deepcopy(perfect_cube)
     i = 1
     while True:
             for f in s:
                     c = f(c)
             if c == perfect_cube:
                     break
             i += 1
     return i