import time
start = time.time()
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'"]
##################################################
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 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
##################################################
def tryAll(a, b, c, this):
aCube = MyCube(); aCube.doAlg(this)
if aCube.checkSolved():
#print '1',
return True
for w in range(4):
aCube.doU(); aCub = aCube
for x in [a, b, c]:
tCube = aCub
tCube.doAlg(x)
if tCube.checkSolved():
#print '2',
return True
for y in range(4):
tCube.doU(); tCub = tCube
for z in [a, b, c]:
tCu = tCub; tCu.doAlg(z)
if tCube.checkSolved():
#print '3',
return True
return False
def tryCombo(a, b, c, listNow):
for alg in range(0, len(algs)):
if listNow[alg] == False:
if tryAll(a, b, c, algs[alg]):
listNow[alg] = True; continue
else: return listNow
return listNow
##################################################
## Memo 3 algs? ##
listTimes = []
megaList = []
highest = 0
count = 0; counta = 0
for l1 in range(7,len(algs)):
print "L1: ", l1, counta
counta = 0
for l2 in range(l1+1,len(algs)):
for l3 in range(l2+1,len(algs)):
count+=1; counta+=1
algsDone = [False]*len(algs)
s = time.time()
algsDone = tryCombo(algs[l1], algs[l2], algs[l3], algsDone)
listTimes.append(time.time()-s)
if sum(algsDone) == len(algs):
print "\t\tAlgs used: ", l1, l2, l3
megaList.append([l1, l2, l3])
#print "\t\tCases solved: " + str(sum(algsDone)) + " out of " + str(len(algs))
#print "\t\t", algsDone; print
highest = sum(algsDone)
print '\n\n'
print count
print; print time.time()-start; print
k = 0; l = 0
for t in listTimes:
k+=1; l+=t
print l/k, l
print megaList
import time
start = time.time()

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'"]
##################################################
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 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
##################################################
def tryAll(a, b, c, this):
    aCube = MyCube(); aCube.doAlg(this)
    if aCube.checkSolved():
        #print '1',
        return True
    
    for w in range(4):
        aCube.doU(); aCub = aCube
        
        for x in [a, b, c]:
            tCube = aCub
            tCube.doAlg(x)
            if tCube.checkSolved():
                #print '2',
                return True
            
            for y in range(4):
                tCube.doU(); tCub = tCube

                for z in [a, b, c]:
                    tCu = tCub; tCu.doAlg(z)
                    if tCube.checkSolved():
                        #print '3',
                        return True
    return False
            

def tryCombo(a, b, c, listNow):
    for alg in range(0, len(algs)):
        if listNow[alg] == False:
            if tryAll(a, b, c, algs[alg]):
                listNow[alg] = True; continue
            
            else: return listNow

    return listNow
##################################################
## Memo 3 algs? ##

listTimes = []
megaList = []
highest = 0
count = 0; counta = 0
for l1 in range(7,len(algs)):
    print "L1: ", l1, counta
    counta = 0
    for l2 in range(l1+1,len(algs)):
        for l3 in range(l2+1,len(algs)):
            
            count+=1; counta+=1
            algsDone = [False]*len(algs)
            s = time.time()
            algsDone = tryCombo(algs[l1], algs[l2], algs[l3], algsDone)
            listTimes.append(time.time()-s)
            if sum(algsDone) == len(algs):
                print "\t\tAlgs used: ", l1, l2, l3
                megaList.append([l1, l2, l3])
                #print "\t\tCases solved: " + str(sum(algsDone)) + " out of " + str(len(algs))
                #print "\t\t", algsDone; print
                highest = sum(algsDone)
    print '\n\n'

print count
print; print  time.time()-start; print
k = 0; l = 0
for t in listTimes:
    k+=1; l+=t
print l/k, l
print megaList
