algDict = {0: '0 ', 1: 'U ', 2: 'U ', 3: 'H ', 4: 'Z ', 5: 'A ',
6: 'A ', 7: 'E ', 8: 'J ', 9: 'J ', 10: 'R ', 11: 'R ',
12: 'G ', 13: 'G ', 14: 'G ', 15: 'G ', 16: 'N ', 17: 'N ',
18: 'T ', 19: 'Y ', 20: 'F ', 21: 'V '}
highest = 0
algs = ["",
"R' U R' U' R' U' R' U R U R2",
"R U' R U R U R U' R' U' R2",
"R2 U2 R U2 R2 U2 R2 U2 R U2 R2",
"R2 U R2 U' R2 F2 R2 U' F2 U R2 F2",
"R U' R F2 R' U R' U' R2 F2 R2",
"R2 F2 R2 U R U' R F2 R' U R'",
"R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R",
"F' U2 R' U F U' F' U' R U' F",
"R U R' F' R U R' U' R' F R2 U' R'",
"R' U2 R U2 R' F R U R' U' R' F' R2",
"F' R' U' R F' R' U F' U' F' U F R F2",
"F2 R2 U' R' U' R F2 R' U R F2 U R2 F2",
"F2 R2 U' F2 R' U' R F2 R' U R U R2 F2",
"R' U' R2 U' R2 U' R U2 R2 F U R' U' R F' R",
"R' F R' U R U' F' R2 U2 R' U R2 U R2 U R",
"F' R U R' U' R' F R2 F U' R' U' R U F' R",
"R' U R' F R F' R U' R' F' U F R U R' U' R",
"R U R' U' R' F R2 U' R' U' R U R' F'",
"F R U' R' U' R U R' F' R U R' U' R' F R F'",
"F' U2 F' U' R' F' R2 U' R' U R' F R U' F",
"R U' R U F R F2 U F U' F R' F' R'"]
def tryOne(aTemp, this): #string of alg trying, string of alg trying to solve
wtf = MyCube(); wtf.doAlg(this); wtf.doUp()
for try1 in range(4):
wtf.doU(); wtf2 = wtf
wtf2.doAlg(aTemp)
if wtf2.checkSolved(): return True
return False
def tryTwo(aTemp, bTemp, this):
now = MyCube(); now.doAlg(this); now.doUp()
for try1 in range(4):
now.doU(); mow = now
mow.doAlg(aTemp)
for try2 in range(4):
mow.doU(); oow = mow
oow.doAlg(bTemp)
if oow.checkSolved(): return True
return False
def tryCombo(a, b, listNow):
for alg in range(0, len(algs)):
if listNow[alg] == False:
aCube = MyCube(); aCube.doAlg(algs[alg])
## if aCube.checkSolved(): #basically, check if it's already good (case algs[0])
## listNow[alg] = True; print 'try000 solved: ', algs[alg]; continue
##
## if tryOne(a, algs[alg]): listNow[alg] = True; print 'try1 a solved: ', algs[alg]; continue
## if tryOne(b, algs[alg]): listNow[alg] = True; print 'try1 b solved: ', algs[alg]; continue
##
## if tryTwo(a, b, algs[alg]): listNow[alg] = True; print 'try2ab solved: ', algs[alg]; continue
## if tryTwo(b, a, algs[alg]): listNow[alg] = True; print 'try2ba solved: ', algs[alg]; continue
##
## if tryTwo(a, a, algs[alg]): listNow[alg] = True; print 'try2aa solved: ', algs[alg]; continue
## if tryTwo(b, b, algs[alg]): listNow[alg] = True; print 'try2bb solved: ', algs[alg]; continue
if aCube.checkSolved(): #basically, check if it's already good (case algs[0])
listNow[alg] = True; continue
elif tryOne(a, algs[alg]): listNow[alg] = True; continue
elif tryOne(b, algs[alg]): listNow[alg] = True; continue
elif tryTwo(a, b, algs[alg]): listNow[alg] = True; continue
elif tryTwo(b, a, algs[alg]): listNow[alg] = True; continue
elif tryTwo(a, a, algs[alg]): listNow[alg] = True; continue
elif tryTwo(b, b, algs[alg]): listNow[alg] = True; continue
#else: return listNow
return listNow
##################################################
class MyCube:
"""A virtual 3x3x3 matrix"""
def __init__(self):
self.uSide = ['U', 'U', 'U', 'U', 'U', 'U', 'U', 'U'] #URF, UF, etc
self.fSide = ['F', 'F', 'F', 'F', 'F', 'F', 'F', 'F'] #FRD, FD, etc
self.lSide = ['L', 'L', 'L', 'L', 'L', 'L', 'L', 'L'] #LFD, LD, etc
self.bSide = ['B', 'B', 'B', 'B', 'B', 'B', 'B', 'B'] #BRD, BD, etc
self.rSide = ['R', 'R', 'R', 'R', 'R', 'R', 'R', 'R'] #RBD, RD, etc
self.dSide = ['D', 'D', 'D', 'D', 'D', 'D', 'D', 'D'] #DBR, DR, etc
def doU(self):
self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5], self.uSide[6], self.uSide[7] = self.uSide[6], self.uSide[7], self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5]
self.fSide[5], self.lSide[5], self.bSide[1], self.rSide[5] = self.rSide[5], self.fSide[5], self.lSide[5], self.bSide[1]
self.fSide[6], self.lSide[6], self.bSide[2], self.rSide[6] = self.rSide[6], self.fSide[6], self.lSide[6], self.bSide[2]
self.fSide[7], self.lSide[7], self.bSide[3], self.rSide[7] = self.rSide[7], self.fSide[7], self.lSide[7], self.bSide[3]
def doUp(self):
self.uSide[6], self.uSide[7], self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5] = self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5], self.uSide[6], self.uSide[7]
self.rSide[5], self.fSide[5], self.lSide[5], self.bSide[1] = self.fSide[5], self.lSide[5], self.bSide[1], self.rSide[5]
self.rSide[6], self.fSide[6], self.lSide[6], self.bSide[2] = self.fSide[6], self.lSide[6], self.bSide[2], self.rSide[6]
self.rSide[7], self.fSide[7], self.lSide[7], self.bSide[3] = self.fSide[7], self.lSide[7], self.bSide[3], self.rSide[7]
def doR(self):
self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5], self.rSide[6], self.rSide[7] = self.rSide[6], self.rSide[7], self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5]
self.fSide[7], self.uSide[7], self.bSide[7], self.dSide[7] = self.dSide[7], self.fSide[7], self.uSide[7], self.bSide[7]
self.fSide[0], self.uSide[0], self.bSide[0], self.dSide[0] = self.dSide[0], self.fSide[0], self.uSide[0], self.bSide[0]
self.fSide[1], self.uSide[1], self.bSide[1], self.dSide[1] = self.dSide[1], self.fSide[1], self.uSide[1], self.bSide[1]
def doRp(self):
self.rSide[6], self.rSide[7], self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5] = self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5], self.rSide[6], self.rSide[7]
self.dSide[7], self.fSide[7], self.uSide[7], self.bSide[7] = self.fSide[7], self.uSide[7], self.bSide[7], self.dSide[7]
self.dSide[0], self.fSide[0], self.uSide[0], self.bSide[0] = self.fSide[0], self.uSide[0], self.bSide[0], self.dSide[0]
self.dSide[1], self.fSide[1], self.uSide[1], self.bSide[1] = self.fSide[1], self.uSide[1], self.bSide[1], self.dSide[1]
def doF(self):
self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5], self.fSide[6], self.fSide[7] = self.fSide[6], self.fSide[7], self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5]
self.uSide[1], self.rSide[3], self.dSide[5], self.lSide[7] = self.lSide[7], self.uSide[1], self.rSide[3], self.dSide[5]
self.uSide[2], self.rSide[4], self.dSide[6], self.lSide[0] = self.lSide[0], self.uSide[2], self.rSide[4], self.dSide[6]
self.uSide[3], self.rSide[5], self.dSide[7], self.lSide[1] = self.lSide[1], self.uSide[3], self.rSide[5], self.dSide[7]
def doFp(self):
self.fSide[6], self.fSide[7], self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5] = self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5], self.fSide[6], self.fSide[7]
self.lSide[7], self.uSide[1], self.rSide[3], self.dSide[5] = self.uSide[1], self.rSide[3], self.dSide[5], self.lSide[7]
self.lSide[0], self.uSide[2], self.rSide[4], self.dSide[6] = self.uSide[2], self.rSide[4], self.dSide[6], self.lSide[0]
self.lSide[1], self.uSide[3], self.rSide[5], self.dSide[7] = self.uSide[3], self.rSide[5], self.dSide[7], self.lSide[1]
def doAlg(self, algString):
ialg = algString.replace('(', '') #get rid of unwanted
ialg = ialg.replace(')', '') # or otherwise unneeded characters
ialg = ialg.replace("2'", '2') # incl. whitespace, paren., 2's
ialg = ialg.replace(' ', ' ')
parts = ialg.split(' ') #Divide the alg up into individual moves
for part in parts:
if part == 'U': self.doU()
elif part == 'U2': self.doU(); self.doU()
elif part == "U'": self.doUp()
elif part == 'F': self.doF()
elif part == 'F2': self.doF(); self.doF()
elif part == "F'": self.doFp()
elif part == 'R': self.doR()
elif part == 'R2': self.doR(); self.doR()
elif part == "R'": self.doRp()
def printCube(self):
print
print " ", self.bSide[5] + self.bSide[6] + self.bSide[7]
print " ", self.bSide[4] + "b" + self.bSide[0]
print " ", self.bSide[3] + self.bSide[2] + self.bSide[1] + '\n'
print " ", self.uSide[5] + self.uSide[6] + self.uSide[7]
print " ", self.uSide[4] + "u" + self.uSide[0]
print " ", self.uSide[3] + self.uSide[2] + self.uSide[1] + '\n'
print "" + self.lSide[5] + self.lSide[6] + self.lSide[7], self.fSide[5] + self.fSide[6] + self.fSide[7], self.rSide[5] + self.rSide[6] + self.rSide[7]
print "" + self.lSide[4] + 'l' + self.lSide[0], self.fSide[4] + 'f' + self.fSide[0], self.rSide[4] + 'r' + self.rSide[0]
print "" + self.lSide[3] + self.lSide[2] + self.lSide[1], self.fSide[3] + self.fSide[2] + self.fSide[1], self.rSide[3] + self.rSide[2] + self.rSide[1] + '\n'
print " ", self.dSide[5] + self.dSide[6] + self.dSide[7]
print " ", self.dSide[4] + "d" + self.dSide[0]
print " ", self.dSide[3] + self.dSide[2] + self.dSide[1] + '\n'
def printMin(self):
print
print " ", self.bSide[3] + self.bSide[2] + self.bSide[1] + '\n'
print " ", self.uSide[5] + self.uSide[6] + self.uSide[7]
print " ", self.uSide[4] + "u" + self.uSide[0]
print " ", self.uSide[3] + self.uSide[2] + self.uSide[1] + '\n'
print "" + self.lSide[5] + self.lSide[6] + self.lSide[7], self.fSide[5] + self.fSide[6] + self.fSide[7], self.rSide[5] + self.rSide[6] + self.rSide[7]
def checkSolved(self):
if self.uSide[0] == self.uSide[1] == self.uSide[2] == self.uSide[3] == self.uSide[4] == self.uSide[5] == self.uSide[6] == self.uSide[7]:
if self.fSide[5] == self.fSide[6] == self.fSide[7]:
if self.lSide[5] == self.lSide[6] == self.lSide[7]:
if self.rSide[5] == self.rSide[6] == self.rSide[7]:
if self.bSide[3] == self.bSide[2] == self.bSide[1]:
return True
return False
##################################################
for l1 in range(6):
#for l1 in range(len(algs)):
print "L1: ", l1
for l2 in range(l1):
for l3 in range(l2):
algsDone = [False]*len(algs)
algsDone = tryCombo(algs[l1], algs[l2], algsDone)
algsDone = tryCombo(algs[l1], algs[l3], algsDone)
algsDone = tryCombo(algs[l2], algs[l3], algsDone)
if sum(algsDone) >= highest:
print "Algs used: ", l1, l2, l3
print "Cases solved: " + str(sum(algsDone)) + " out of " + str(len(algs))
print algsDone; print
highest = sum(algsDone)
algDict = {0:  '0 ', 1:  'U ', 2:  'U ', 3:  'H ', 4:  'Z ', 5:  'A ',
           6:  'A ', 7:  'E ', 8:  'J ', 9:  'J ', 10: 'R ', 11: 'R ',
           12: 'G ', 13: 'G ', 14: 'G ', 15: 'G ', 16: 'N ', 17: 'N ',
           18: 'T ', 19: 'Y ', 20: 'F ', 21: 'V '}
highest = 0

algs = ["",
"R' U R' U' R' U' R' U R U R2",
"R U' R U R U R U' R' U' R2",
"R2 U2 R U2 R2 U2 R2 U2 R U2 R2",
"R2 U R2 U' R2 F2 R2 U' F2 U R2 F2",
"R U' R F2 R' U R' U' R2 F2 R2",
"R2 F2 R2 U R U' R F2 R' U R'",
"R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R",
"F' U2 R' U F U' F' U' R U' F",
"R U R' F' R U R' U' R' F R2 U' R'",
"R' U2 R U2 R' F R U R' U' R' F' R2",
"F' R' U' R F' R' U F' U' F' U F R F2",
"F2 R2 U' R' U' R F2 R' U R F2 U R2 F2",
"F2 R2 U' F2 R' U' R F2 R' U R U R2 F2",
"R' U' R2 U' R2 U' R U2 R2 F U R' U' R F' R",
"R' F R' U R U' F' R2 U2 R' U R2 U R2 U R",
"F' R U R' U' R' F R2 F U' R' U' R U F' R",
"R' U R' F R F' R U' R' F' U F R U R' U' R",
"R U R' U' R' F R2 U' R' U' R U R' F'",
"F R U' R' U' R U R' F' R U R' U' R' F R F'",
"F' U2 F' U' R' F' R2 U' R' U R' F R U' F",
"R U' R U F R F2 U F U' F R' F' R'"]


def tryOne(aTemp, this):	#string of alg trying, string of alg trying to solve
    wtf = MyCube(); wtf.doAlg(this); wtf.doUp()
    for try1 in range(4):
        wtf.doU(); wtf2 = wtf
        wtf2.doAlg(aTemp)

        if wtf2.checkSolved(): return True

    return False

def tryTwo(aTemp, bTemp, this):
    now = MyCube(); now.doAlg(this); now.doUp()
    for try1 in range(4):
      now.doU(); mow = now
      mow.doAlg(aTemp)
      for try2 in range(4):
          mow.doU(); oow = mow
          oow.doAlg(bTemp)
          if oow.checkSolved(): return True
    
    return False

def tryCombo(a, b, listNow):
    for alg in range(0, len(algs)):
        if listNow[alg] == False:
            
            aCube = MyCube(); aCube.doAlg(algs[alg])

##            if aCube.checkSolved(): 		#basically, check if it's already good (case algs[0])
##                listNow[alg] = True; print 'try000 solved: ', algs[alg]; continue
##                
##            if tryOne(a, algs[alg]):    listNow[alg] = True; print 'try1 a solved: ', algs[alg];  continue
##            if tryOne(b, algs[alg]):    listNow[alg] = True; print 'try1 b solved: ', algs[alg];  continue
##
##            if tryTwo(a, b, algs[alg]): listNow[alg] = True; print 'try2ab solved: ', algs[alg]; continue
##            if tryTwo(b, a, algs[alg]): listNow[alg] = True; print 'try2ba solved: ', algs[alg]; continue
##
##            if tryTwo(a, a, algs[alg]): listNow[alg] = True; print 'try2aa solved: ', algs[alg];  continue
##            if tryTwo(b, b, algs[alg]): listNow[alg] = True; print 'try2bb solved: ', algs[alg];  continue

            if aCube.checkSolved(): 		#basically, check if it's already good (case algs[0])
                listNow[alg] = True; continue
                
            elif tryOne(a, algs[alg]):    listNow[alg] = True;  continue
            elif tryOne(b, algs[alg]):    listNow[alg] = True;  continue

            elif tryTwo(a, b, algs[alg]): listNow[alg] = True; continue
            elif tryTwo(b, a, algs[alg]): listNow[alg] = True; continue

            elif tryTwo(a, a, algs[alg]): listNow[alg] = True;  continue
            elif tryTwo(b, b, algs[alg]): listNow[alg] = True;  continue

            #else: return listNow
            
    return listNow

##################################################
class MyCube:
  """A virtual 3x3x3 matrix"""
  def __init__(self):
    self.uSide = ['U', 'U', 'U', 'U', 'U', 'U', 'U', 'U'] #URF, UF, etc
    self.fSide = ['F', 'F', 'F', 'F', 'F', 'F', 'F', 'F'] #FRD, FD, etc
    self.lSide = ['L', 'L', 'L', 'L', 'L', 'L', 'L', 'L'] #LFD, LD, etc
    self.bSide = ['B', 'B', 'B', 'B', 'B', 'B', 'B', 'B'] #BRD, BD, etc
    self.rSide = ['R', 'R', 'R', 'R', 'R', 'R', 'R', 'R'] #RBD, RD, etc
    self.dSide = ['D', 'D', 'D', 'D', 'D', 'D', 'D', 'D'] #DBR, DR, etc


  def doU(self):

    self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5], self.uSide[6], self.uSide[7] = self.uSide[6], self.uSide[7], self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5]

    self.fSide[5], self.lSide[5], self.bSide[1], self.rSide[5] = self.rSide[5], self.fSide[5], self.lSide[5], self.bSide[1]
    self.fSide[6], self.lSide[6], self.bSide[2], self.rSide[6] = self.rSide[6], self.fSide[6], self.lSide[6], self.bSide[2]
    self.fSide[7], self.lSide[7], self.bSide[3], self.rSide[7] = self.rSide[7], self.fSide[7], self.lSide[7], self.bSide[3]

  def doUp(self):
    self.uSide[6], self.uSide[7], self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5] = self.uSide[0], self.uSide[1], self.uSide[2], self.uSide[3], self.uSide[4], self.uSide[5], self.uSide[6], self.uSide[7]

    self.rSide[5], self.fSide[5], self.lSide[5], self.bSide[1] = self.fSide[5], self.lSide[5], self.bSide[1], self.rSide[5]
    self.rSide[6], self.fSide[6], self.lSide[6], self.bSide[2] = self.fSide[6], self.lSide[6], self.bSide[2], self.rSide[6]
    self.rSide[7], self.fSide[7], self.lSide[7], self.bSide[3] = self.fSide[7], self.lSide[7], self.bSide[3], self.rSide[7]

  def doR(self):

    self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5], self.rSide[6], self.rSide[7] = self.rSide[6], self.rSide[7], self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5]
      
    self.fSide[7], self.uSide[7], self.bSide[7], self.dSide[7] = self.dSide[7], self.fSide[7], self.uSide[7], self.bSide[7]
    self.fSide[0], self.uSide[0], self.bSide[0], self.dSide[0] = self.dSide[0], self.fSide[0], self.uSide[0], self.bSide[0]
    self.fSide[1], self.uSide[1], self.bSide[1], self.dSide[1] = self.dSide[1], self.fSide[1], self.uSide[1], self.bSide[1]

  def doRp(self):
    self.rSide[6], self.rSide[7], self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5] = self.rSide[0], self.rSide[1], self.rSide[2], self.rSide[3], self.rSide[4], self.rSide[5], self.rSide[6], self.rSide[7]

    self.dSide[7], self.fSide[7], self.uSide[7], self.bSide[7] = self.fSide[7], self.uSide[7], self.bSide[7], self.dSide[7]
    self.dSide[0], self.fSide[0], self.uSide[0], self.bSide[0] = self.fSide[0], self.uSide[0], self.bSide[0], self.dSide[0]
    self.dSide[1], self.fSide[1], self.uSide[1], self.bSide[1] = self.fSide[1], self.uSide[1], self.bSide[1], self.dSide[1]

  def doF(self):
    self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5], self.fSide[6], self.fSide[7] = self.fSide[6], self.fSide[7], self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5]

    self.uSide[1], self.rSide[3], self.dSide[5], self.lSide[7] = self.lSide[7], self.uSide[1], self.rSide[3], self.dSide[5]
    self.uSide[2], self.rSide[4], self.dSide[6], self.lSide[0] = self.lSide[0], self.uSide[2], self.rSide[4], self.dSide[6]
    self.uSide[3], self.rSide[5], self.dSide[7], self.lSide[1] = self.lSide[1], self.uSide[3], self.rSide[5], self.dSide[7]
    
  def doFp(self):
    self.fSide[6], self.fSide[7], self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5] = self.fSide[0], self.fSide[1], self.fSide[2], self.fSide[3], self.fSide[4], self.fSide[5], self.fSide[6], self.fSide[7]
 
    self.lSide[7], self.uSide[1], self.rSide[3], self.dSide[5] = self.uSide[1], self.rSide[3], self.dSide[5], self.lSide[7]
    self.lSide[0], self.uSide[2], self.rSide[4], self.dSide[6] = self.uSide[2], self.rSide[4], self.dSide[6], self.lSide[0]
    self.lSide[1], self.uSide[3], self.rSide[5], self.dSide[7] = self.uSide[3], self.rSide[5], self.dSide[7], self.lSide[1]


    
  def doAlg(self, algString):
    ialg = algString.replace('(', '')     #get rid of unwanted
    ialg = ialg.replace(')', '')          # or otherwise unneeded characters
    ialg = ialg.replace("2'", '2')        # incl. whitespace, paren., 2's
    ialg = ialg.replace('  ', ' ')
    parts = ialg.split(' ')               #Divide the alg up into individual moves
    
    for part in parts:
      if part ==   'U':  self.doU()
      elif part == 'U2': self.doU(); self.doU()
      elif part == "U'": self.doUp()
            
      elif part == 'F':  self.doF()
      elif part == 'F2': self.doF(); self.doF()
      elif part == "F'": self.doFp()
      
      elif part == 'R':  self.doR()
      elif part == 'R2': self.doR(); self.doR()
      elif part == "R'": self.doRp()
            
  def printCube(self):
    print
    print "   ", self.bSide[5] + self.bSide[6] + self.bSide[7]
    print "   ", self.bSide[4] + "b" + 	  self.bSide[0]
    print "   ", self.bSide[3] + self.bSide[2] + self.bSide[1] + '\n'

    print "   ", self.uSide[5] + self.uSide[6] + self.uSide[7]
    print "   ", self.uSide[4] + "u" + 	  self.uSide[0]
    print "   ", self.uSide[3] + self.uSide[2] + self.uSide[1] + '\n'

    print "" + self.lSide[5] + self.lSide[6] + self.lSide[7], self.fSide[5] + self.fSide[6] + self.fSide[7], self.rSide[5] + self.rSide[6] + self.rSide[7]
    print "" + self.lSide[4] + 'l' +           self.lSide[0], self.fSide[4] + 'f' +           self.fSide[0], self.rSide[4] + 'r' +           self.rSide[0]
    print "" + self.lSide[3] + self.lSide[2] + self.lSide[1], self.fSide[3] + self.fSide[2] + self.fSide[1], self.rSide[3] + self.rSide[2] + self.rSide[1] + '\n'

    print "   ", self.dSide[5] + self.dSide[6] + self.dSide[7]
    print "   ", self.dSide[4] + "d" + 	  self.dSide[0]
    print "   ", self.dSide[3] + self.dSide[2] + self.dSide[1] + '\n'

  def printMin(self):
    print

    print "   ", self.bSide[3] + self.bSide[2] + self.bSide[1] + '\n'

    print "   ", self.uSide[5] + self.uSide[6] + self.uSide[7]
    print "   ", self.uSide[4] + "u" + 	  self.uSide[0]
    print "   ", self.uSide[3] + self.uSide[2] + self.uSide[1] + '\n'

    print "" + self.lSide[5] + self.lSide[6] + self.lSide[7], self.fSide[5] + self.fSide[6] + self.fSide[7], self.rSide[5] + self.rSide[6] + self.rSide[7]

  def checkSolved(self):
    if self.uSide[0] == self.uSide[1] == self.uSide[2] == self.uSide[3] == self.uSide[4] == self.uSide[5] == self.uSide[6] == self.uSide[7]:
      if self.fSide[5] == self.fSide[6] == self.fSide[7]:
        if self.lSide[5] == self.lSide[6] == self.lSide[7]:
          if self.rSide[5] == self.rSide[6] == self.rSide[7]:
            if self.bSide[3] == self.bSide[2] == self.bSide[1]:
              return True
    return False

##################################################
for l1 in range(6):
#for l1 in range(len(algs)):
    print "L1: ", l1
    for l2 in range(l1):
        for l3 in range(l2):
            algsDone = [False]*len(algs)
            
            algsDone = tryCombo(algs[l1], algs[l2], algsDone)
            algsDone = tryCombo(algs[l1], algs[l3], algsDone)
            algsDone = tryCombo(algs[l2], algs[l3], algsDone)
            
            if sum(algsDone) >= highest:
                print "Algs used: ", l1, l2, l3
                print "Cases solved: " + str(sum(algsDone)) + " out of " + str(len(algs))
                print algsDone; print
                highest = sum(algsDone)
                

L1: 0
L1: 1
L1: 2
Algs used: 2 1 0
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
L1: 3
Algs used: 3 1 0
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
Algs used: 3 2 1
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
L1: 4
Algs used: 4 1 0
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
Algs used: 4 2 0
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
Algs used: 4 2 1
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
Algs used: 4 3 1
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
Algs used: 4 3 2
Cases solved: 5 out of 22
[True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]
L1: 5
Algs used: 5 1 0
Cases solved: 12 out of 22
[True, True, True, False, True, True, True, True, True, False, False, False, False, False, False, True, False, False, True, True, True, False]
Algs used: 5 2 1
Cases solved: 13 out of 22
[True, True, True, True, True, True, True, False, True, False, False, False, True, False, False, True, False, False, True, True, True, False]
Algs used: 5 3 1
Cases solved: 13 out of 22
[True, True, True, True, True, True, True, True, True, False, False, False, False, False, False, True, False, False, True, True, True, False]
Algs used: 5 4 1
Cases solved: 13 out of 22
[True, True, True, True, True, True, True, False, True, False, False, False, False, False, False, True, False, True, True, True, True, False]