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def Dragon(n): """ This function returns the nth element of the dragon sequence """ if n == 0: return 0 else: while Mod(n, 2) == 0: #while n%2 == 0: n = n / 2 return ((n-1)/2)%2 def Pagoda(n): """ This function returns the nth element of the pagoda sequence """ return Dragon(n+2) - Dragon(n) def ThueMorse(n): """ This function returns the nth element of the Thue-Morse sequence """ if n == 0: return 0 elif n < 0: return 1-ThueMorse(-n-1) elif n%2==0: #n is odd return ThueMorse(n/2) else: #n is odd return 1-ThueMorse((n-1)/2) def IsReisha(seq1,seq2): """ Checks if seq2 starts with a copy of seq1 """ leng = min(len(seq1),len(seq2)) for n in range(0,leng): if seq1[n]!=seq2[n]: return 0 return 1 def IsInAsReisha(seq,seqList): """ Checks if seq is contained as a reisha in a list of sequences Returns the index of the first occurence if it is, -1 otherwise """ leng = len(seqList) for m in range(0,leng): if IsReisha(seq,seqList[m]): return m return -1 def InferAutomaticity(seq,k): """ Returns a k-substitution and 1-coding that generate seq This algorithm is based on Propositions 10.1.5 and 10.2.2 in Applied Combinatorics on Words by M. Lothaire """ # find kernel and kernel transitions kernelSeq[n] -> kernelSeq[kn+j], 0<= j <k ker = [seq] # a list to contain all sequences in the kernel of seq ind = 0 kernelSize = 1 kernelOperation = [] temp = [0] * k while ind < kernelSize: activeSeq = ker[ind] leng = len(activeSeq) for j in range(0,k): kernelSeq = [activeSeq[n] for n in range(j,leng,k)] # activeSeq[kn+j] kernelInd = IsInAsReisha(kernelSeq,ker) if kernelInd == -1: # kernelSeq has not been added yet to ker ker.append(kernelSeq) #print(kernelSeq) kernelInd = kernelSize kernelSize += 1 temp[j] = kernelInd kernelOperation.append(copy(temp)) # python passes a reference when using append so if not using copy it overwrites previous appends of temp ind += 1 # define a set of symbols, a substitution rule and a coding that generate seq states = [] statesEnumeration = [] statesSize = 0 leng = len(ker[kernelSize-1]) for n in range(0,leng): s = [ker[i][n] for i in range(0,kernelSize)] # the states are column vectors that contain the nth coordinate from each sequence in the kernel #print(s) if s not in states: states.append(s) statesEnumeration.append(n) # keeps track of the first index n where the state s appears statesSize += 1 #print("here") codes = [states[m][0] for m in range(0,statesSize)] infls = [[states.index([ker[kernelOperation[i][j]][statesEnumeration[m]] for i in range(0,kernelSize)]) for j in range(0,k)] for m in range(0,statesSize)] return [ker,states,codes,infls]
import time print("hello") start = time.time() leng = 400 #rpf=[Dragon(n) for n in range(1,leng+1)] pag=[Pagoda(n) for n in range(1,leng+1)] #thueMorse=[ThueMorse(n) for n in range(1,leng+1)] #[ker,states,codes,infls]=InferAutomaticity(rpf, 2) [ker,states,codes,infls]=InferAutomaticity(pag, 2) #[ker,states,codes,infls]=InferAutomaticity(thueMorse, 2) #print(ker) #print(states) print('Codes: ',codes) print('Substitution: ',infls) end = time.time() print(end-start)
hello
Error in lines 5-5 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1188, in execute flags=compile_flags) in namespace, locals File "", line 1, in <module> NameError: name 'Pagoda' is not defined
len(infls)
Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1188, in execute flags=compile_flags) in namespace, locals File "", line 1, in <module> NameError: name 'infls' is not defined
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7, 9, 8, 12, 7, 3, 12, 7, 3, 7, 9, 2, 5, 13, 3, 10, 3, 7, 1, 6, 10]
print(pag_cfe)
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6, 12, 7, 3, 7, 9, 8, 7, 9, 2, 8, 8, 9, 11, 9, 10, 4, 9, 10, 8, 8, 9, 7, 6, 12, 7, 10, 9, 11, 9, 10, 8, 6, 7, 13, 7, 10, 9, 11, 9, 3, 8, 8, 7, 9, 8, 12, 7, 3, 12, 7, 3, 7, 9, 2, 8, 6, 7, 13, 7, 3, 8, 2, 9, 11, 9, 3, 7, 13, 7, 3, 12, 7, 10, 9, 7, 6, 8, 8, 7, 13, 7, 10, 8, 8, 9, 11, 9, 10, 4, 9, 3, 7, 9, 8, 12, 7, 3, 12, 7, 3, 7, 9, 8, 7, 9, 2, 8, 8, 9, 11, 9, 10, 4, 9, 10, 8, 8, 9, 7, 8, 9, 7, 6, 8, 2, 4, 9, 3, 7, 13, 7, 3, 8, 2, 9, 11, 9, 10, 4, 9, 10, 9, 7, 6, 12, 7, 3, 7, 9, 2, 8, 6, 7, 13, 7, 10, 9, 11, 9, 10, 4, 9, 10, 8, 8, 9, 7, 6, 12, 7, 10, 9, 11, 9, 3, 7, 9, 2, 8, 6, 8, 8, 7, 9, 2, 4, 9, 10, 9, 7, 8, 9, 7, 8, 4, 9, 10, 4, 9, 3, 7, 13, 7, 3, 8, 8, 7, 9, 8, 7, 13, 7, 3, 12, 7, 10, 9, 7, 6, 8, 8, 7, 13, 7, 10, 8, 6, 8, 2, 9, 11, 9, 10, 4, 9, 10, 9, 7, 6, 12, 7, 3, 7, 9, 2, 8, 6, 7, 13, 7, 3, 8, 2, 9, 11, 9, 3, 7, 13, 7, 3, 12, 7, 10, 9, 7, 6, 8, 8, 7, 13, 7, 10, 8, 8, 9, 11, 9, 10, 4, 9, 3, 7, 9, 8, 12, 7, 10, 9, 7, 8, 4, 9, 10, 4, 9, 3, 7, 13, 7, 10, 9, 11, 9, 3, 8, 2, 8, 8, 9, 7, 6, 12, 7, 10, 9, 11, 9, 3, 7, 9, 2, 8, 8, 9, 11, 9, 3, 8, 8, 7, 9, 8, 12, 7, 10, 9, 7, 8, 4, 9, 3, 7, 13, 7, 10, 8, 6, 8, 8, 7, 9, 8, 7, 13, 7, 3, 12, 7, 3, 12, 7, 10, 9, 11, 9, 10, 8, 6, 7, 13, 7, 3, 8, 8, 7, 9, 2, 4, 9, 10, 9, 7, 8, 9, 7, 8, 4, 9, 10, 4, 9, 3, 7, 13, 7, 10, 9, 11, 9, 3, 8, 2, 8, 8, 9, 7, 8, 9, 7, 6, 8, 8, 7, 13, 7, 10, 8, 6, 8, 2, 9, 11, 9, 10, 4, 9, 10, 9, 7, 8, 9, 7, 8, 4, 9, 3, 7, 13, 7, 10, 8, 8, 9, 11, 9, 3, 8, 2, 8, 8, 9, 7, 8, 9, 7, 6, 8, 2, 4, 9, 3, 7, 13, 7, 10, 9, 11, 9, 10, 4, 9, 3, 7, 9, 8, 12, 7, 10, 9, 7, 8, 4, 9, 10, 4, 9, 3, 7, 13, 7, 3, 8, 8, 7, 9, 8, 7, 13, 7, 3, 12, 7, 3, 12, 7, 10, 9, 11, 9, 3, 7, 9, 2, 8, 8, 9, 11, 9, 3, 8, 8, 7, 9, 8, 12, 7, 10, 9, 7, 8, 4, 9, 3, 7, 13, 7, 10, 8, 6, 8, 8, 7, 9, 8, 7, 13, 7, 3, 12, 7, 10, 9, 7, 6, 8, 2, 4, 9, 3, 7, 13, 7, 10, 9, 11, 9, 10, 4, 9, 3, 7, 9, 8, 12, 7, 3, 12, 7, 3, 7, 9, 8, 7, 9, 2, 8, 8, 9, 11, 9, 10, 4, 9, 10, 8, 8, 9, 7, 6, 12, 7, 10, 9, 11, 9, 10, 8, 6, 7, 13, 7, 10, 9, 11, 9, 3, 8, 8, 7, 9, 8, 12, 7, 3, 12, 7, 3, 7, 9, 2, 5, 13, 3, 10, 3, 7, 1, 6, 10]
[ker,states,codes,infls]=InferAutomaticity(pag_cfe, 2)
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9, 8, 7, 3, 7] [10, 9, 8, 9, 8, 9, 6, 7, 6, 8, 10, 2, 8, 10, 8, 11, 12, 11, 8, 9, 11, 3, 9, 9, 6, 9, 11, 8, 9, 10, 8, 3, 7, 8, 9, 8, 6, 9, 8, 8, 9, 2, 9, 9, 9, 9, 8, 2, 8, 10, 9, 8, 9, 2, 8, 9, 8, 9, 9, 4, 8, 9, 7, 9, 7, 9, 8, 8, 9, 8, 10, 11, 8, 10, 9, 9, 8, 9, 10, 10, 8, 8, 9, 9, 10, 9, 9, 7, 4, 8, 6, 7, 6, 3, 9, 9, 6, 9, 11, 3, 7, 8, 10, 10, 8, 8, 9, 9, 6, 9, 8, 9, 8, 9, 6, 7, 9, 3] [2, 7, 10, 4, 3, 9, 8, 13, 9, 11, 2, 10, 11, 10, 9, 9, 8, 8, 2, 9, 9, 10, 7, 9, 9, 9, 9, 2, 7, 7, 6, 7, 4, 9, 8, 9, 9, 7, 10, 8, 9, 10, 11, 9, 8, 4, 2, 10, 11, 11, 8, 8, 9, 10, 2, 7, 10, 9, 9, 9, 9, 9, 7, 3, 8, 12, 4, 11, 8, 9, 10, 8, 11, 11, 8, 4, 3, 9, 9, 3, 10, 8, 7, 9, 8, 8, 7, 7, 8, 9, 8, 13, 9, 10, 7, 9, 9, 9, 9, 6, 8, 9, 9, 3, 10, 8, 7, 9, 9, 7, 10, 4, 3, 9, 8, 8, 7] [3, 4, 8, 7, 9, 3, 13, 10, 7, 13, 9, 9, 7, 9, 9, 10, 3, 12, 7, 4, 12, 6, 7, 6, 13, 7, 12, 13, 4, 7, 7, 9, 9, 7, 7, 10, 13, 7, 8, 7, 4, 9, 7, 2, 7, 7, 9, 9, 7, 9, 7, 7, 4, 9, 7, 4, 8, 7, 2, 7, 10, 2, 7, 8, 7, 7, 10, 9, 7, 7, 9, 12, 7, 9, 7, 7, 9, 3, 6, 9, 10, 7, 4, 6, 6, 4, 3, 8, 8, 8, 13, 10, 7, 6, 7, 6, 13, 7, 12, 6, 10, 8, 6, 9, 10, 7, 4, 6, 13, 7, 8, 7, 9, 3, 13, 10, 6, 5] [9, 9, 9, 7, 3, 3, 10, 4, 11, 12, 2, 9, 12, 3, 10, 6, 7, 8, 9, 9, 3, 7, 9, 3, 3, 9, 3, 9, 9, 9, 7, 10, 9, 6, 9, 11, 3, 9, 9, 10, 9, 9, 12, 8, 8, 7, 2, 9, 12, 2, 8, 10, 9, 9, 9, 9, 9, 7, 8, 10, 7, 7, 4, 8, 13, 8, 7, 2, 8, 3, 3, 8, 12, 2, 8, 7, 3, 3, 6, 3, 9, 10, 9, 3, 8, 9, 9, 12, 7, 11, 10, 4, 11, 7, 9, 3, 3, 9, 3, 7, 7, 11, 6, 3, 9, 10, 9, 3, 3, 9, 9, 7, 3, 3, 10, 7, 9] [3, 10, 7, 8, 9, 7, 9, 7, 13, 3, 12, 7, 8, 9, 10, 2, 7, 9, 8, 3, 6, 11, 8, 7, 9, 6, 6, 3, 10, 3, 7, 12, 7, 9, 6, 3, 9, 8, 7, 9, 3, 7, 4, 7, 7, 8, 12, 7, 8, 12, 7, 9, 3, 7, 8, 10, 7, 8, 7, 13, 7, 7, 8, 8, 8, 2, 7, 12, 7, 9, 9, 9, 8, 12, 7, 8, 9, 7, 10, 9, 7, 9, 10, 7, 10, 3, 8, 9, 7, 3, 9, 7, 13, 11, 8, 7, 9, 6, 6, 11, 7, 3, 10, 9, 7, 9, 10, 7, 9, 8, 7, 8, 9, 7, 9, 7, 8, 10] [7, 9, 9, 13, 9, 10, 3, 11, 8, 6, 3, 9, 6, 3, 7, 7, 8, 9, 7, 4, 3, 3, 9, 10, 8, 4, 10, 7, 7, 7, 9, 9, 7, 8, 9, 8, 8, 9, 12, 7, 4, 12, 9, 7, 9, 13, 3, 9, 6, 9, 12, 7, 4, 9, 7, 9, 9, 7, 7, 7, 7, 8, 8, 10, 7, 7, 13, 9, 12, 7, 3, 9, 6, 9, 9, 13, 9, 3, 7, 9, 12, 7, 9, 3, 7, 9, 7, 9, 10, 8, 3, 11, 6, 3, 9, 10, 8, 4, 3, 13, 10, 6, 7, 9, 12, 7, 9, 10, 8, 9, 9, 13, 9, 10, 3, 10, 7] [3, 10, 2, 4, 9, 13, 8, 7, 8, 8, 7, 7, 4, 7, 8, 9, 11, 7, 4, 10, 8, 3, 2, 2, 8, 13, 8, 8, 10, 7, 7, 13, 3, 7, 13, 13, 8, 13, 2, 7, 8, 8, 7, 6, 3, 4, 9, 7, 4, 7, 8, 7, 8, 8, 4, 10, 2, 4, 3, 3, 9, 3, 8, 3, 9, 3, 9, 9, 8, 7, 8, 8, 4, 7, 8, 4, 9, 13, 3, 8, 13, 7, 8, 2, 3, 8, 13, 7, 9, 10, 8, 7, 8, 3, 2, 2, 8, 13, 8, 3, 8, 10, 3, 8, 13, 7, 8, 2, 8, 13, 2, 4, 9, 13, 8, 7, 10, 7] [8, 8, 6, 8, 4, 8, 13, 7, 8, 8, 7, 3, 7, 4, 8, 9, 9, 8, 7, 3, 7, 7, 8, 8, 13, 3, 7, 8, 8, 2, 7, 9, 10, 2, 3, 7, 13, 8, 6, 13, 3, 3, 8, 9, 10, 8, 7, 3, 7, 7, 10, 13, 3, 3, 7, 8, 6, 8, 9, 8, 3, 9, 2, 7, 10, 9, 3, 7, 10, 13, 4, 8, 7, 7, 10, 8, 4, 8, 10, 4, 6, 13, 8, 8, 10, 3, 13, 3, 7, 7, 13, 7, 8, 7, 8, 8, 13, 3, 7, 7, 7, 7, 10, 4, 6, 13, 8, 8, 13, 8, 6, 8, 4, 8, 13, 7, 13] [7, 7, 6, 8, 9, 10, 8, 3, 7, 8, 9, 8, 6, 9, 8, 9, 8, 9, 6, 7, 9, 7, 4, 10, 8, 4, 9, 8, 7, 7, 10, 9, 9, 10, 4, 6, 8, 4, 6, 3, 7, 8, 10, 10, 11, 8, 9, 8, 6, 9, 11, 3, 7, 8, 6, 7, 6, 8, 10, 2, 8, 10, 8, 11, 12, 11, 8, 9, 11, 3, 9, 9, 6, 9, 11, 8, 9, 10, 7, 9, 6, 3, 7, 10, 7, 7, 10, 13, 2, 6, 8, 3, 7, 7, 4, 10, 8, 4, 9, 7, 3, 6, 7, 9, 6, 3, 7, 10, 8, 4, 6, 8, 9, 10, 8, 3, 10, 10] [8, 13, 9, 2, 7, 7, 6, 7, 4, 9, 8, 9, 9, 7, 10, 4, 3, 9, 8, 8, 7, 7, 13, 7, 10, 8, 7, 8, 13, 8, 7, 3, 10, 10, 6, 4, 10, 13, 9, 6, 8, 9, 9, 2, 9, 2, 8, 9, 9, 9, 9, 6, 8, 9, 8, 13, 9, 11, 2, 10, 11, 10, 9, 9, 8, 8, 2, 9, 9, 10, 7, 9, 9, 9, 9, 2, 7, 7, 10, 7, 9, 6, 13, 7, 6, 6, 8, 12, 8, 4, 6, 7, 4, 7, 13, 7, 10, 8, 7, 7, 8, 4, 10, 7, 9, 6, 13, 7, 10, 13, 9, 2, 7, 7, 6, 8, 8] [9, 10, 7, 13, 4, 7, 7, 9, 9, 7, 7, 10, 13, 7, 8, 7, 9, 3, 13, 10, 6, 8, 8, 7, 7, 8, 6, 7, 10, 12, 3, 11, 8, 3, 8, 7, 7, 8, 7, 6, 10, 8, 6, 9, 12, 13, 4, 10, 13, 7, 12, 6, 10, 8, 13, 10, 7, 13, 9, 9, 7, 9, 9, 10, 3, 12, 7, 4, 12, 6, 7, 6, 13, 7, 12, 13, 4, 7, 8, 7, 7, 6, 10, 7, 8, 10, 7, 2, 8, 7, 7, 9, 9, 8, 8, 7, 7, 8, 6, 8, 9, 7, 8, 7, 7, 6, 10, 7, 7, 8, 7, 13, 4, 7, 7, 9, 7, 2] [8, 4, 11, 9, 9, 9, 7, 10, 9, 6, 9, 11, 3, 9, 9, 7, 3, 3, 10, 7, 9, 12, 4, 9, 7, 7, 9, 8, 4, 11, 12, 9, 2, 7, 7, 9, 7, 4, 11, 7, 7, 11, 6, 2, 3, 9, 9, 11, 3, 9, 3, 7, 7, 11, 10, 4, 11, 12, 2, 9, 12, 3, 10, 6, 7, 8, 9, 9, 3, 7, 9, 3, 3, 9, 3, 9, 9, 9, 7, 9, 11, 7, 4, 9, 7, 7, 11, 3, 8, 9, 7, 10, 9, 12, 4, 9, 7, 7, 9, 12, 8, 9, 7, 9, 11, 7, 4, 9, 7, 4, 11, 9, 9, 9, 7, 8, 11] [9, 7, 13, 3, 10, 3, 7, 12, 7, 9, 6, 3, 9, 8, 7, 8, 9, 7, 9, 7, 8, 9, 7, 3, 7, 7, 8, 9, 7, 9, 8, 8, 8, 11, 7, 9, 7, 7, 13, 11, 7, 3, 10, 12, 6, 3, 3, 3, 9, 6, 6, 11, 7, 3, 9, 7, 13, 3, 12, 7, 8, 9, 10, 2, 7, 9, 8, 3, 6, 11, 8, 7, 9, 6, 6, 3, 10, 3, 9, 8, 13, 11, 7, 3, 9, 7, 10, 2, 9, 9, 7, 12, 7, 9, 7, 3, 7, 7, 8, 9, 12, 9, 9, 8, 13, 11, 7, 3, 7, 7, 13, 3, 10, 3, 7, 12, 10, 6] [3, 11, 8, 7, 7, 7, 9, 9, 7, 8, 9, 8, 8, 9, 9, 13, 9, 10, 3, 10, 7, 9, 11, 7, 10, 10, 7, 3, 8, 12, 4, 10, 9, 10, 11, 7, 10, 11, 6, 13, 10, 6, 7, 3, 10, 7, 9, 8, 8, 4, 3, 13, 10, 8, 3, 11, 8, 6, 3, 9, 6, 3, 7, 7, 8, 9, 7, 4, 3, 3, 9, 10, 8, 4, 10, 7, 7, 7, 3, 7, 6, 13, 11, 7, 13, 11, 12, 11, 9, 7, 9, 9, 7, 9, 11, 7, 10, 10, 7, 7, 9, 7, 3, 7, 6, 13, 11, 7, 10, 11, 8, 7, 7, 7, 9, 9, 12] [2, 11, 8, 3, 9, 3, 9, 9, 8, 9, 8, 12, 3, 8, 9, 7, 10, 12, 3, 11, 9, 9, 6, 8, 9, 3, 9, 9, 11, 7, 4, 10, 2, 4, 3, 3, 9, 3, 8, 2, 11, 9, 2, 8, 7, 3, 9, 12, 3, 8, 7, 2, 11, 9, 3, 11, 8, 3, 8, 7, 7, 8, 7, 13, 4, 7, 7, 9, 7, 2, 8, 9, 3, 8, 7, 3, 9, 3, 9, 8, 3, 2, 11, 8, 9, 11, 3, 7, 8, 8, 9, 9, 8, 9, 6, 8, 9, 3, 9, 9, 9, 8, 9, 8, 3, 2, 11, 8, 9, 3, 8, 3, 9, 3, 9, 9, 8, 7] [9, 9, 2, 7, 10, 9, 3, 4, 8, 9, 8, 2, 12, 10, 9, 8, 4, 11, 12, 9, 9, 7, 9, 9, 3, 9, 9, 9, 9, 8, 7, 8, 6, 8, 9, 8, 3, 9, 2, 3, 9, 2, 9, 7, 11, 7, 8, 2, 12, 8, 11, 3, 9, 2, 12, 9, 2, 7, 7, 9, 7, 4, 11, 9, 9, 9, 7, 8, 11, 3, 10, 11, 12, 8, 11, 7, 10, 9, 8, 10, 2, 3, 9, 9, 8, 9, 10, 13, 7, 8, 3, 4, 8, 7, 9, 9, 3, 9, 9, 7, 7, 8, 8, 10, 2, 3, 9, 9, 3, 9, 2, 7, 10, 9, 3, 7, 10] [9, 8, 8, 11, 12, 11, 8, 9, 8, 9, 9, 4, 8, 9, 7, 9, 7, 9, 8, 8, 9, 8, 10, 11, 8, 10, 9, 9, 8, 9, 6, 7, 6, 8, 10, 2, 8, 10, 8, 2, 8, 4, 11, 7, 10, 11, 12, 4, 8, 9, 10, 2, 8, 4, 8, 8, 8, 11, 7, 9, 7, 7, 13, 3, 10, 3, 7, 12, 10, 2, 9, 9, 8, 9, 10, 11, 12, 11, 9, 9, 8, 2, 8, 11, 9, 8, 11, 3, 9, 2, 8, 9, 8, 8, 10, 11, 8, 10, 9, 8, 9, 2, 9, 9, 8, 2, 8, 11, 8, 10, 8, 11, 12, 11, 8, 9, 11, 7] [4, 10, 9, 9, 8, 8, 2, 7, 10, 9, 9, 9, 9, 9, 7, 3, 8, 12, 4, 11, 8, 9, 10, 8, 11, 11, 8, 4, 3, 9, 8, 13, 9, 11, 2, 10, 11, 10, 9, 8, 11, 9, 9, 11, 12, 9, 9, 9, 9, 9, 12, 8, 11, 9, 4, 10, 9, 10, 11, 7, 10, 11, 8, 7, 7, 7, 9, 9, 12, 11, 9, 12, 9, 9, 12, 9, 8, 8, 11, 8, 9, 8, 10, 8, 8, 2, 9, 10, 9, 10, 2, 7, 10, 9, 10, 8, 11, 11, 8, 8, 9, 10, 11, 8, 9, 8, 10, 8, 11, 10, 9, 9, 8, 8, 2, 9, 9] [7, 9, 9, 10, 3, 12, 7, 4, 8, 7, 2, 7, 10, 2, 7, 8, 7, 7, 10, 9, 7, 7, 9, 12, 7, 9, 7, 7, 9, 3, 13, 10, 7, 13, 9, 9, 7, 9, 9, 13, 9, 7, 13, 4, 10, 10, 3, 7, 10, 2, 10, 13, 9, 7, 10, 9, 9, 10, 4, 6, 8, 4, 6, 8, 9, 10, 8, 3, 10, 13, 2, 7, 10, 2, 10, 10, 3, 12, 7, 2, 9, 13, 9, 12, 7, 9, 12, 6, 7, 9, 7, 4, 8, 7, 9, 12, 7, 9, 7, 7, 4, 9, 7, 2, 9, 13, 9, 12, 7, 9, 9, 10, 3, 12, 7, 4, 12, 13] [7, 3, 10, 6, 7, 8, 9, 9, 9, 7, 8, 10, 7, 7, 4, 8, 13, 8, 7, 2, 8, 3, 3, 8, 12, 2, 8, 7, 3, 3, 10, 4, 11, 12, 2, 9, 12, 3, 10, 9, 2, 10, 7, 6, 8, 6, 8, 10, 7, 8, 8, 9, 2, 10, 7, 3, 10, 10, 6, 4, 10, 13, 9, 2, 7, 7, 6, 8, 8, 12, 7, 8, 7, 8, 8, 6, 7, 8, 12, 7, 10, 9, 3, 8, 9, 2, 3, 7, 9, 9, 9, 9, 9, 3, 3, 8, 12, 2, 8, 10, 9, 9, 12, 7, 10, 9, 3, 8, 12, 3, 10, 6, 7, 8, 9, 9, 3] [8, 9, 10, 2, 7, 9, 8, 10, 7, 8, 7, 13, 7, 7, 8, 8, 8, 2, 7, 12, 7, 9, 9, 9, 8, 12, 7, 8, 9, 7, 9, 7, 13, 3, 12, 7, 8, 9, 10, 3, 12, 13, 9, 3, 13, 2, 7, 13, 7, 7, 13, 3, 12, 13, 7, 9, 10, 2, 3, 7, 13, 8, 6, 8, 4, 8, 13, 7, 13, 3, 7, 2, 7, 7, 13, 2, 7, 9, 4, 7, 10, 3, 9, 9, 4, 12, 6, 11, 6, 7, 8, 10, 7, 9, 9, 9, 8, 12, 7, 9, 3, 7, 4, 7, 10, 3, 9, 9, 8, 9, 10, 2, 7, 9, 8, 3, 6] [13, 3, 7, 7, 8, 9, 7, 9, 9, 7, 7, 7, 7, 8, 8, 10, 7, 7, 13, 9, 12, 7, 3, 9, 6, 9, 9, 13, 9, 10, 3, 11, 8, 6, 3, 9, 6, 3, 7, 10, 9, 7, 2, 13, 7, 7, 7, 7, 7, 10, 7, 10, 9, 7, 13, 3, 7, 13, 13, 8, 13, 2, 4, 9, 13, 8, 7, 10, 7, 9, 8, 7, 7, 10, 7, 7, 8, 12, 9, 8, 7, 10, 3, 12, 10, 3, 3, 3, 4, 9, 7, 9, 12, 7, 3, 9, 6, 9, 12, 7, 4, 12, 9, 8, 7, 10, 3, 9, 6, 3, 7, 7, 8, 9, 7, 4, 3] [9, 8, 10, 7, 3, 13, 8, 2, 9, 8, 10, 9, 7, 10, 7, 9, 9, 7, 7, 8, 8, 3, 7, 10, 8, 8, 8, 8, 8, 7, 4, 8, 11, 4, 8, 2, 8, 8, 10, 7, 7, 8, 7, 7, 7, 7, 3, 9, 7, 10, 10, 7, 7, 8, 7, 8, 10, 7, 9] [7, 8, 7, 13, 7, 13, 13, 4, 13, 7, 7, 8, 7, 7, 8, 7, 9, 7, 7, 3, 10, 8, 8, 13, 13, 3, 10, 7, 8, 7, 7, 9, 7, 10, 3, 2, 13, 8, 7, 2, 3, 8, 8, 12, 9, 13, 7, 8, 7, 7, 9, 2, 3, 8, 7, 8, 7, 13, 12] [2, 8, 8, 7, 10, 3, 13, 6, 4, 13, 13, 7, 7, 13, 7, 8, 7, 7, 7, 8, 7, 10, 7, 3, 13, 7, 7, 13, 8, 7, 7, 8, 9, 7, 7, 8, 13, 7, 8, 9, 8, 7, 9, 7, 12, 7, 10, 7, 7, 13, 12, 9, 8, 7, 7, 8, 8, 7, 7] [7, 8, 2, 9, 2, 7, 8, 8, 8, 7, 3, 2, 7, 2, 9, 10, 8, 13, 7, 7, 7, 7, 8, 7, 3, 7, 7, 7, 8, 3, 4, 9, 8, 3, 7, 8, 3, 8, 2, 8, 7, 2, 7, 9, 13, 9, 3, 2, 7, 3, 13, 8, 7, 2, 7, 8, 2, 12] [13, 7, 7, 10, 9, 4, 8, 6, 9, 8, 10, 2, 10, 10, 3, 7, 8, 2, 10, 7, 3, 7, 9, 7, 8, 9, 3, 8, 7, 9, 6, 8, 8, 6, 9, 4, 8, 9, 7, 13, 7, 3, 13, 7, 9, 10, 9, 2, 10, 10, 9, 13, 7, 3, 10, 7, 7, 10, 7] [3, 8, 7, 9, 10, 6, 4, 8, 10, 3, 13, 7, 2, 10, 12, 4, 7, 7, 2, 7, 6, 9, 8, 6, 4, 7, 6, 3, 8, 8, 9, 9, 9, 7, 7, 10, 4, 8, 7, 4, 7, 7, 3, 7, 7, 9, 13, 7, 2, 13, 7, 4, 7, 7, 2, 8, 7, 9, 3] [6, 4, 13, 7, 10, 6, 10, 9, 7, 6, 8, 7, 7, 8, 7, 9, 9, 8, 7, 4, 8, 10, 7, 6, 10, 7, 8, 6, 4, 8, 9, 10, 3, 8, 7, 13, 10, 7, 13, 7, 4, 7, 7, 8, 2, 7, 10, 7, 7, 8, 2, 7, 4, 7, 7, 4, 13, 7, 8] [7, 8, 8, 3, 10, 4, 13, 2, 7, 8, 12, 8, 8, 6, 8, 9, 7, 10, 7, 7, 4, 8, 8, 4, 8, 7, 4, 7, 9, 9, 7, 4, 9, 8, 7, 7, 8, 8, 8, 13, 7, 8, 8, 3, 10, 3, 12, 8, 8, 9, 10, 13, 7, 8, 7, 8, 8, 2] [4, 9, 10, 3, 8, 8, 7, 7, 4, 7, 7, 8, 3, 7, 9, 9, 8, 8, 3, 9, 9, 8, 3, 10, 7, 6, 9, 7, 9, 7, 13, 8, 9, 13, 6, 8, 7, 6, 10, 2, 12, 9, 2, 12, 6, 3, 8, 8, 3, 7, 11, 2, 12, 9, 3, 9, 10, 3, 9] [9, 7, 12, 11, 3, 7, 8, 13, 7, 9, 2, 9, 8, 3, 3, 9, 9, 12, 8, 8, 7, 7, 7, 7, 8, 8, 7, 9, 7, 10, 7, 7, 3, 10, 8, 7, 8, 7, 12, 8, 8, 9, 9, 9, 9, 11, 2, 9, 8, 2, 9, 8, 8, 9, 8, 7, 12, 11, 9] [7, 9, 4, 12, 2, 7, 7, 11, 9, 7, 11, 10, 12, 11, 10, 3, 8, 8, 12, 9, 8, 7, 9, 7, 7, 9, 8, 7, 9, 9, 3, 9, 3, 10, 9, 4, 7, 9, 4, 9, 9, 10, 9, 9, 9, 12, 2, 10, 12, 11, 9, 9, 9, 10, 12, 9, 4, 12, 9] [10, 8, 11, 9, 7, 9, 4, 9, 9, 8, 3, 11, 8, 7, 9, 4, 9, 2, 10, 12, 9, 9, 8, 9, 7, 12, 9, 10, 6, 11, 9, 7, 3, 7, 12, 9, 7, 8, 11, 4, 12, 11, 8, 7, 2, 9, 3, 11, 8, 3, 2, 4, 12, 11, 10, 8, 11, 9] [11, 7, 7, 8, 8, 7, 7, 13, 10, 7, 10, 9, 8, 10, 12, 8, 8, 9, 8, 7, 12, 9, 8, 7, 7, 8, 12, 7, 7, 6, 9, 7, 9, 9, 8, 7, 7, 8, 7, 11, 7, 12, 11, 9, 10, 8, 8, 9, 8, 10, 8, 11, 7, 12, 8, 7, 7, 8, 9] [12, 9, 9, 8, 11, 9, 7, 3, 3, 12, 2, 9, 9, 11, 11, 9, 9, 4, 9, 9, 9, 6, 9, 9, 7, 9, 9, 12, 9, 3, 8, 8, 7, 7, 9, 3, 7, 9, 9, 7, 9, 9, 12, 8, 4, 8, 2, 9, 9, 2, 4, 7, 9, 9, 9, 9, 9, 8, 1] [9, 7, 8, 4, 9, 11, 10, 8, 7, 9, 12, 9, 9, 12, 8, 2, 10, 9, 9, 7, 9, 3, 7, 11, 10, 7, 9, 9, 7, 9, 8, 9, 9, 3, 7, 11, 10, 7, 8, 9, 7, 9, 7, 8, 11, 4, 9, 9, 9, 12, 11, 9, 7, 9, 9, 7, 8, 4, 8] [9, 3, 12, 10, 10, 7, 11, 7, 7, 9, 11, 12, 9, 9, 8, 7, 9, 9, 9, 7, 7, 9, 3, 7, 10, 7, 7, 9, 8, 8, 9, 13, 10, 10, 9, 7, 10, 3, 12, 8, 7, 12, 9, 9, 9, 10, 11, 12, 9, 8, 9, 8, 7, 12, 9, 3, 12, 11] [8, 8, 11, 4, 2, 3, 9, 8, 9, 9, 8, 8, 4, 8, 9, 8, 8, 7, 4, 8, 9, 9, 12, 11, 9, 9, 9, 9, 8, 8, 3, 9, 10, 3, 9, 6, 9, 9, 11, 7, 7, 9, 7, 7, 2, 4, 2, 8, 4, 8, 8, 7, 7, 9, 4, 8, 11, 4, 8] [9, 9, 7, 10, 4, 3, 3, 3, 3, 9, 7, 8, 7, 4, 13, 7, 8, 7, 7, 9, 8, 8, 9, 3, 3, 9, 8, 9, 9, 12, 8, 7, 12, 11, 9, 8, 3, 9, 7, 6, 9, 8, 9, 3, 8, 10, 7, 8, 7, 7, 8, 6, 9, 8, 7, 9, 7, 10, 3] [8, 8, 9, 7, 6, 9, 3, 2, 10, 3, 10, 4, 7, 10, 4, 13, 8, 7, 7, 8, 7, 8, 9, 9, 3, 9, 7, 3, 8, 8, 12, 9, 4, 12, 9, 9, 3, 9, 9, 8, 8, 4, 8, 7, 3, 7, 6, 4, 7, 10, 3, 8, 8, 4, 7, 8, 9, 7, 7] [4, 9, 8, 8, 8, 8, 9, 7, 9, 7, 13, 8, 7, 8, 8, 7, 8, 3, 4, 7, 8, 8, 9, 8, 9, 7, 8, 4, 9, 2, 10, 8, 11, 9, 7, 9, 9, 9, 8, 9, 7, 8, 7, 7, 3, 8, 13, 8, 7, 13, 3, 9, 7, 8, 4, 9, 8, 3] [10, 8, 8, 6, 6, 10, 8, 8, 12, 8, 11, 9, 6, 11, 9, 8, 7, 9, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 8, 7, 7, 8, 9, 10, 8, 9, 8, 10, 8, 9, 10, 9, 4, 6, 6, 9, 6, 11, 7, 10, 8, 9, 6, 8, 8, 6, 9] [9, 9, 9, 7, 8, 2, 10, 11, 11, 9, 3, 9, 9, 8, 10, 3, 8, 8, 9, 8, 2, 9, 9, 2, 10, 8, 2, 9, 9, 4, 9, 9, 9, 8, 8, 11, 10, 9, 9, 10, 8, 9, 9, 7, 8, 7, 3, 9, 9, 3, 8, 10, 8, 9, 9, 9, 9, 7, 3] [2, 10, 3, 8, 9, 2, 11, 9, 8, 2, 9, 7, 9, 9, 7, 6, 4, 8, 9, 10, 9, 11, 8, 2, 11, 8, 9, 2, 10, 9, 9, 7, 8, 4, 8, 10, 11, 8, 3, 9, 10, 7, 8, 7, 8, 8, 9, 7, 9, 9, 8, 9, 10, 7, 9, 10, 3, 8, 7] [7, 4, 9, 13, 11, 10, 10, 9, 8, 9, 10, 9, 9, 2, 7, 7, 9, 9, 7, 8, 10, 9, 4, 10, 11, 8, 10, 7, 9, 9, 9, 3, 12, 11, 9, 8, 11, 4, 9, 3, 8, 9, 8, 7, 9, 13, 10, 9, 9, 6, 9, 3, 8, 9, 7, 4, 9, 8] [3, 8, 9, 13, 7, 9, 7, 9, 3, 7, 12, 7, 13, 12, 4, 7, 9, 7, 13, 8, 4, 7, 7, 9, 7, 7, 4, 7, 8, 2, 10, 7, 7, 10, 7, 9, 7, 7, 9, 6, 10, 4, 6, 3, 8, 13, 7, 7, 13, 12, 10, 6, 10, 4, 13, 8, 9, 13, 6] [4, 7, 3, 10, 13, 9, 9, 10, 12, 4, 6, 6, 7, 13, 7, 9, 7, 10, 7, 7, 9, 2, 7, 9, 9, 7, 9, 4, 7, 7, 2, 8, 7, 9, 7, 12, 9, 7, 3, 9, 7, 6, 4, 8, 8, 10, 6, 6, 7, 6, 8, 9, 7, 6, 7, 7, 3, 10, 5] [9, 9, 3, 10, 11, 2, 12, 10, 7, 9, 3, 9, 3, 3, 9, 7, 9, 9, 3, 9, 9, 12, 8, 2, 12, 8, 9, 9, 9, 8, 7, 4, 13, 7, 8, 3, 12, 8, 3, 6, 9, 9, 8, 9, 7, 10, 11, 9, 3, 3, 7, 6, 9, 9, 3, 9, 3, 10, 9] [9, 7, 3, 4, 12, 9, 3, 6, 8, 9, 7, 3, 9, 9, 9, 10, 6, 11, 9, 10, 9, 8, 7, 9, 2, 10, 9, 9, 7, 10, 7, 8, 8, 2, 3, 8, 2, 7, 3, 3, 10, 3, 9, 12, 11, 4, 7, 3, 9, 7, 11, 3, 10, 3, 9, 7, 3, 7] [3, 7, 9, 9, 13, 12, 8, 10, 7, 8, 6, 8, 9, 6, 10, 7, 7, 6, 9, 7, 3, 4, 7, 12, 8, 7, 3, 8, 7, 7, 7, 8, 8, 7, 7, 9, 8, 7, 9, 10, 7, 10, 10, 8, 7, 9, 13, 8, 9, 6, 7, 10, 7, 10, 9, 7, 9, 9, 8] [10, 8, 7, 7, 3, 7, 9, 2, 9, 3, 11, 7, 6, 3, 3, 12, 9, 3, 8, 9, 7, 7, 8, 7, 12, 9, 7, 10, 8, 13, 7, 8, 2, 12, 9, 9, 12, 8, 7, 9, 9, 7, 3, 9, 3, 7, 11, 7, 6, 11, 3, 9, 9, 7, 8, 8, 7, 7, 10] [7, 9, 9, 3, 8, 3, 6, 7, 8, 7, 3, 9, 8, 10, 7, 9, 7, 9, 8, 12, 4, 9, 9, 3, 6, 12, 4, 7, 9, 7, 7, 8, 7, 13, 12, 3, 6, 9, 9, 7, 12, 9, 7, 7, 10, 3, 6, 9, 8, 3, 10, 7, 12, 9, 8, 9, 9, 3, 7] [9, 13, 10, 11, 6, 9, 3, 7, 9, 4, 3, 10, 4, 7, 7, 9, 8, 8, 9, 7, 12, 7, 13, 9, 9, 7, 9, 9, 7, 7, 8, 10, 7, 9, 7, 9, 9, 13, 3, 9, 7, 3, 9, 9, 8, 11, 3, 10, 4, 13, 6, 9, 7, 10, 9, 13, 10, 10] [3, 2, 9, 8, 8, 7, 4, 8, 11, 4, 8, 2, 8, 8, 10, 7, 3, 13, 8, 2, 8, 7, 3, 9, 4, 8, 8, 4, 2, 3, 9, 8, 9, 9, 8, 8, 4, 8, 9, 3, 13, 8, 3, 13, 9, 8, 8, 2, 8, 8, 8, 3, 13, 8, 8, 2, 9, 8, 10] [10, 4, 13, 7, 8, 7, 7, 9, 7, 10, 3, 2, 13, 8, 7, 13, 7, 13, 13, 7, 8, 6, 4, 7, 7, 7, 8, 10, 4, 3, 3, 3, 3, 9, 7, 8, 7, 4, 13, 8, 7, 2, 8, 7, 10, 7, 3, 2, 13, 3, 10, 8, 7, 2, 13, 4, 13, 7, 7] [8, 6, 4, 13, 8, 7, 7, 8, 9, 7, 7, 8, 13, 7, 8, 7, 10, 3, 13, 6, 3, 8, 10, 7, 7, 10, 3, 7, 6, 9, 3, 2, 10, 3, 10, 4, 7, 10, 4, 10, 6, 8, 10, 13, 7, 13, 8, 8, 13, 7, 7, 10, 6, 8, 13, 6, 4, 13, 13] [8, 8, 8, 7, 8, 3, 4, 9, 8, 3, 7, 8, 3, 8, 2, 9, 2, 7, 8, 13, 3, 9, 8, 3, 7, 13, 3, 8, 8, 8, 9, 7, 9, 7, 13, 8, 7, 8, 8, 4, 13, 8, 3, 3, 7, 7, 7, 8, 3, 7, 7, 4, 13, 8, 8, 8, 8, 7] [7, 6, 9, 8, 7, 9, 6, 8, 8, 6, 9, 4, 8, 9, 7, 10, 9, 4, 8, 6, 7, 10, 11, 9, 6, 11, 7, 6, 6, 10, 8, 8, 12, 8, 11, 9, 6, 11, 9, 7, 6, 7, 7, 10, 2, 8, 7, 4, 8, 9, 3, 7, 6, 7, 8, 6, 9, 8, 10] [7, 8, 10, 3, 8, 8, 9, 9, 9, 7, 7, 10, 4, 8, 7, 9, 10, 6, 4, 3, 8, 10, 8, 8, 9, 3, 8, 7, 8, 2, 10, 11, 11, 9, 3, 9, 9, 8, 10, 9, 3, 10, 7, 13, 6, 3, 7, 10, 4, 7, 6, 9, 3, 10, 4, 8, 10, 3, 10] [8, 9, 7, 6, 4, 8, 9, 10, 3, 8, 7, 13, 10, 7, 13, 7, 10, 6, 10, 9, 8, 9, 9, 8, 9, 9, 8, 8, 9, 2, 11, 9, 8, 2, 9, 7, 9, 9, 7, 10, 9, 13, 6, 8, 8, 6, 4, 13, 10, 7, 8, 10, 9, 13, 10, 9, 7, 6, 8] [13, 2, 7, 7, 9, 9, 7, 4, 9, 8, 7, 7, 8, 8, 8, 3, 10, 4, 13, 6, 9, 2, 2, 9, 9, 6, 9, 13, 11, 10, 10, 9, 8, 9, 10, 9, 9, 2, 7, 7, 6, 7, 6, 12, 4, 7, 7, 7, 8, 7, 4, 7, 6, 7, 13, 2, 7, 8] [9, 7, 4, 7, 9, 7, 13, 8, 9, 13, 6, 8, 7, 6, 10, 3, 8, 8, 7, 7, 10, 6, 12, 4, 13, 12, 10, 13, 7, 9, 7, 9, 3, 7, 12, 7, 13, 12, 4, 8, 7, 10, 8, 7, 8, 7, 9, 8, 7, 6, 9, 8, 7, 10, 7, 7, 4, 7, 7] [10, 13, 7, 9, 7, 10, 7, 7, 3, 10, 8, 7, 8, 7, 12, 11, 3, 7, 8, 6, 8, 9, 13, 10, 7, 6, 8, 10, 13, 9, 9, 10, 12, 4, 6, 6, 7, 13, 7, 7, 6, 7, 10, 2, 7, 9, 8, 7, 8, 8, 7, 7, 6, 7, 8, 13, 7, 9, 2] [8, 11, 9, 7, 9, 9, 3, 9, 3, 10, 9, 4, 7, 9, 4, 12, 2, 7, 7, 11, 7, 6, 3, 9, 3, 3, 7, 10, 11, 2, 12, 10, 7, 9, 3, 9, 3, 3, 9, 7, 11, 4, 7, 11, 8, 7, 9, 4, 7, 9, 8, 7, 11, 4, 7, 11, 9, 7, 11] [4, 9, 9, 10, 6, 11, 9, 7, 3, 7, 12, 9, 7, 8, 11, 9, 7, 9, 4, 7, 11, 2, 9, 11, 9, 7, 11, 4, 12, 9, 3, 6, 8, 9, 7, 3, 9, 9, 9, 9, 7, 9, 7, 3, 9, 10, 12, 9, 7, 12, 9, 9, 7, 9, 4, 9, 9, 8] [9, 13, 10, 7, 7, 6, 9, 7, 9, 9, 8, 7, 7, 8, 7, 8, 8, 7, 7, 13, 7, 10, 6, 3, 9, 6, 7, 9, 13, 12, 8, 10, 7, 8, 6, 8, 9, 6, 10, 9, 13, 7, 9, 10, 9, 7, 7, 7, 7, 8, 12, 9, 13, 7, 7, 13, 10, 7, 10] [7, 3, 3, 12, 9, 3, 8, 8, 7, 7, 9, 3, 7, 9, 9, 8, 11, 9, 7, 11, 3, 12, 3, 3, 6, 11, 3, 7, 3, 7, 9, 2, 9, 3, 11, 7, 6, 3, 3, 8, 11, 3, 7, 2, 9, 12, 9, 3, 7, 9, 9, 8, 11, 3, 7, 3, 3, 12, 6] [3, 8, 7, 9, 7, 9, 8, 9, 9, 3, 7, 11, 10, 7, 8, 4, 9, 11, 10, 6, 10, 7, 10, 9, 8, 3, 10, 3, 8, 3, 6, 7, 8, 7, 3, 9, 8, 10, 7, 3, 6, 11, 13, 12, 9, 9, 7, 11, 10, 7, 9, 3, 6, 11, 10, 8, 7, 9, 12] [11, 7, 7, 9, 8, 8, 9, 13, 10, 10, 9, 7, 10, 3, 12, 10, 10, 7, 11, 13, 6, 3, 7, 8, 4, 13, 8, 11, 6, 9, 3, 7, 9, 4, 3, 10, 4, 7, 7, 7, 13, 7, 11, 11, 7, 9, 9, 7, 10, 7, 7, 7, 13, 7, 11, 7, 7, 9] [2, 8, 9, 9, 8, 8, 3, 9, 10, 3, 9, 6, 9, 9, 11, 4, 2, 3, 9, 8, 11, 2, 7, 9, 3, 7, 11, 3, 8, 8, 7, 7, 4, 7, 7, 8, 3, 7, 9, 9, 3, 11, 9, 3, 8, 9, 8, 6, 9, 9, 9, 9, 3, 11, 9, 8, 9, 9, 8] [11, 3, 3, 9, 9, 12, 8, 7, 12, 11, 9, 8, 3, 9, 7, 10, 4, 3, 3, 2, 9, 8, 3, 12, 8, 2, 9, 11, 3, 7, 8, 13, 7, 9, 2, 9, 8, 3, 3, 8, 2, 8, 11, 7, 8, 9, 9, 8, 3, 9, 8, 8, 2, 8, 3, 3, 3, 9, 7] [9, 2, 10, 3, 8, 8, 12, 9, 4, 12, 9, 9, 3, 9, 9, 7, 6, 9, 3, 2, 9, 9, 11, 8, 12, 11, 9, 12, 2, 7, 7, 11, 9, 7, 11, 10, 12, 11, 10, 8, 2, 9, 8, 10, 7, 3, 8, 9, 3, 9, 7, 8, 2, 9, 3, 2, 10, 3, 10] [9, 7, 9, 4, 9, 2, 10, 8, 11, 9, 7, 9, 9, 9, 8, 8, 8, 8, 9, 3, 2, 7, 7, 2, 8, 3, 2, 9, 7, 9, 4, 9, 9, 8, 3, 11, 8, 7, 9, 10, 3, 9, 9, 13, 8, 4, 7, 9, 9, 7, 8, 10, 3, 9, 9, 7, 9, 7] [9, 8, 12, 8, 8, 9, 8, 7, 7, 8, 9, 10, 8, 9, 8, 6, 6, 10, 8, 8, 8, 11, 10, 12, 8, 10, 8, 8, 8, 7, 7, 13, 10, 7, 10, 9, 8, 10, 12, 9, 8, 8, 9, 11, 9, 8, 8, 10, 8, 9, 9, 9, 8, 8, 8, 8, 12, 8, 11] [8, 11, 11, 9, 9, 4, 9, 9, 9, 8, 8, 11, 10, 9, 9, 7, 8, 2, 10, 2, 4, 7, 11, 4, 9, 2, 4, 8, 11, 9, 7, 3, 3, 12, 2, 9, 9, 11, 11, 9, 2, 11, 8, 3, 2, 9, 8, 11, 10, 8, 2, 9, 2, 11, 10, 11, 11, 9, 7] [4, 9, 8, 2, 10, 9, 9, 7, 8, 4, 8, 10, 11, 8, 3, 8, 9, 2, 11, 9, 11, 9, 12, 9, 9, 12, 11, 4, 9, 11, 10, 8, 7, 9, 12, 9, 9, 12, 8, 11, 9, 10, 8, 9, 9, 2, 10, 10, 11, 8, 9, 11, 9, 10, 11, 9, 8, 2, 9] [10, 9, 8, 7, 9, 9, 9, 3, 12, 11, 9, 8, 11, 4, 9, 13, 11, 10, 10, 8, 9, 11, 9, 9, 9, 8, 9, 10, 10, 7, 11, 7, 7, 9, 11, 12, 9, 9, 8, 8, 8, 8, 2, 10, 10, 7, 9, 8, 11, 8, 10, 8, 8, 8, 10, 9, 8, 9] [7, 9, 3, 7, 8, 2, 10, 7, 7, 10, 7, 9, 7, 7, 9, 13, 7, 9, 7, 9, 9, 13, 10, 3, 10, 10, 9, 10, 9, 4, 8, 6, 9, 8, 10, 2, 10, 10, 3, 7, 9, 9, 7, 12, 7, 7, 8, 9, 7, 7, 4, 7, 9, 9, 7, 9, 3, 7, 12] [9, 10, 12, 4, 7, 7, 2, 8, 7, 9, 7, 12, 9, 7, 3, 10, 13, 9, 9, 13, 7, 4, 10, 7, 2, 13, 7, 9, 10, 6, 4, 8, 10, 3, 13, 7, 2, 10, 12, 2, 13, 12, 9, 6, 9, 4, 7, 12, 9, 7, 9, 2, 13, 12, 9, 10, 12, 4, 13] [7, 10, 7, 9, 9, 8, 7, 4, 13, 7, 8, 3, 12, 8, 3, 10, 11, 2, 12, 10, 2, 7, 8, 8, 7, 8, 2, 7, 10, 6, 10, 9, 7, 6, 8, 7, 7, 8, 7, 12, 10, 3, 9, 3, 9, 9, 9, 3, 12, 8, 9, 12, 10, 3, 12, 10, 7, 9, 3] [3, 6, 8, 9, 7, 10, 7, 8, 8, 2, 3, 8, 2, 7, 3, 4, 12, 9, 3, 9, 10, 6, 6, 10, 8, 9, 10, 3, 10, 4, 13, 2, 7, 8, 12, 8, 8, 6, 8, 7, 9, 8, 2, 7, 9, 9, 3, 8, 2, 10, 9, 7, 9, 8, 3, 6, 8, 9] [8, 10, 7, 8, 7, 7, 7, 8, 8, 7, 7, 9, 8, 7, 9, 9, 13, 12, 8, 10, 12, 9, 13, 7, 7, 13, 12, 7, 10, 3, 13, 6, 4, 13, 13, 7, 7, 13, 7, 4, 10, 9, 4, 6, 6, 8, 7, 9, 8, 7, 3, 4, 10, 9, 8, 10, 7, 8, 6] [9, 2, 9, 10, 8, 13, 7, 8, 2, 12, 9, 9, 12, 8, 7, 7, 3, 7, 9, 3, 13, 3, 2, 13, 7, 3, 13, 9, 2, 7, 8, 8, 8, 7, 3, 2, 7, 2, 9, 7, 3, 9, 12, 11, 7, 10, 9, 9, 12, 9, 7, 7, 3, 9, 9, 2, 9, 3] [13, 7, 8, 7, 9, 7, 7, 8, 7, 13, 12, 3, 6, 9, 9, 3, 8, 3, 6, 7, 9, 2, 7, 7, 7, 7, 9, 13, 7, 13, 13, 4, 13, 7, 7, 8, 7, 7, 8, 9, 7, 3, 10, 3, 4, 7, 12, 3, 6, 12, 4, 9, 7, 3, 6, 7, 8, 7, 3] [3, 7, 9, 9, 7, 7, 8, 10, 7, 9, 7, 9, 9, 13, 10, 11, 6, 9, 3, 10, 7, 13, 7, 7, 10, 10, 7, 3, 13, 8, 2, 9, 8, 10, 9, 7, 10, 7, 12, 8, 10, 12, 3, 3, 9, 9, 7, 9, 9, 7, 12, 8, 10, 9, 3, 7, 9, 4] [9, 10, 3, 8, 9, 10, 7, 7, 9, 7, 8, 7, 8, 8, 8, 4, 11, 8, 8, 10, 7, 7, 7, 3, 7, 10, 7, 7, 10, 9] [8, 7, 13, 2, 8, 9, 10, 9, 7, 8, 3, 10, 8, 8, 7, 8, 4, 2, 8, 7, 8, 7, 7, 9, 10, 7, 8, 8, 7] [7, 7, 7, 13, 13, 7, 7, 8, 9, 7, 10, 8, 13, 10, 8, 7, 7, 3, 13, 7, 3, 8, 9, 7, 7, 9, 3, 7, 7, 12] [8, 13, 13, 4, 7, 8, 7, 7, 7, 3, 8, 13, 3, 7, 7, 9, 10, 2, 8, 2, 8, 12, 13, 8, 7, 2, 8, 8, 13] [2, 8, 10, 13, 4, 13, 7, 7, 7, 7, 7, 7, 13, 7, 8, 7, 9, 7, 13, 8, 8, 9, 12, 10, 7, 12, 8, 7, 8, 7] [8, 7, 3, 6, 13, 7, 13, 8, 7, 8, 10, 3, 7, 13, 7, 8, 7, 8, 7, 9, 7, 7, 7, 7, 13, 9, 7, 8, 7] [7, 2, 2, 8, 8, 3, 7, 9, 8, 7, 7, 8, 3, 7, 8, 4, 8, 7, 3, 2, 7, 7, 13, 3, 7, 13, 7, 7, 2] [8, 9, 7, 8, 7, 2, 2, 10, 13, 7, 7, 7, 7, 7, 3, 9, 3, 8, 8, 8, 2, 9, 9, 2, 3, 8, 2, 8, 12] [13, 7, 9, 8, 9, 10, 10, 3, 8, 10, 3, 9, 8, 3, 7, 6, 8, 9, 8, 7, 7, 13, 9, 9, 10, 9, 7, 10, 7, 7] [7, 10, 4, 6, 8, 2, 10, 7, 2, 7, 7, 7, 9, 8, 9, 8, 6, 4, 9, 13, 3, 7, 10, 2, 10, 13, 3, 7, 10] [3, 7, 10, 4, 10, 13, 2, 12, 7, 2, 6, 8, 4, 6, 8, 9, 9, 7, 4, 7, 7, 3, 7, 13, 2, 7, 7, 2, 7, 3] [8, 9, 6, 8, 3, 7, 10, 4, 7, 7, 9, 6, 7, 3, 8, 9, 7, 10, 8, 4, 7, 7, 9, 7, 13, 4, 7, 8, 9] [6, 13, 10, 10, 7, 8, 7, 7, 9, 7, 8, 7, 10, 8, 4, 9, 3, 7, 10, 13, 4, 7, 2, 10, 7, 2, 4, 7, 13, 8] [4, 7, 6, 9, 6, 7, 8, 9, 8, 4, 10, 6, 7, 6, 8, 10, 8, 13, 7, 7, 7, 8, 7, 7, 8, 7, 7, 4, 7] [7, 8, 10, 13, 7, 12, 8, 8, 7, 7, 4, 8, 8, 4, 9, 7, 9, 7, 8, 8, 7, 8, 10, 12, 8, 10, 7, 7, 8] [8, 3, 4, 2, 8, 8, 6, 9, 10, 7, 8, 4, 7, 7, 9, 4, 8, 7, 8, 13, 8, 3, 3, 8, 9, 13, 8, 8, 2] [4, 10, 8, 7, 4, 7, 3, 9, 8, 3, 9, 3, 7, 9, 9, 13, 9, 6, 7, 10, 12, 2, 6, 8, 3, 11, 12, 3, 10, 9] [9, 3, 8, 7, 7, 8, 7, 9, 8, 9, 8, 10, 6, 7, 7, 8, 13, 8, 6, 2, 9, 12, 3, 8, 7, 2, 9, 9, 3] [9, 12, 3, 8, 7, 2, 8, 3, 9, 8, 7, 7, 8, 7, 7, 7, 3, 8, 8, 12, 8, 9, 9, 2, 8, 9, 8, 8, 12, 9] [7, 11, 7, 13, 9, 9, 3, 9, 12, 8, 7, 7, 8, 9, 10, 7, 10, 7, 7, 8, 9, 9, 11, 9, 2, 8, 9, 7, 11] [7, 4, 2, 7, 9, 11, 12, 10, 8, 12, 8, 9, 7, 8, 9, 3, 3, 9, 7, 4, 9, 9, 9, 2, 12, 9, 9, 12, 4, 9] [9, 12, 7, 11, 7, 10, 11, 3, 8, 9, 7, 7, 9, 7, 9, 9, 10, 4, 9, 9, 10, 9, 12, 10, 11, 9, 10, 9, 12] [10, 11, 7, 4, 9, 3, 8, 9, 9, 10, 9, 8, 7, 9, 6, 9, 3, 12, 7, 11, 12, 8, 2, 3, 8, 2, 12, 10, 11] [8, 9, 9, 9, 8, 11, 7, 4, 2, 12, 9, 9, 12, 10, 11, 7, 7, 9, 8, 4, 11, 7, 9, 11, 3, 4, 11, 8, 9] [11, 7, 8, 7, 10, 10, 8, 12, 8, 8, 12, 8, 7, 12, 7, 9, 9, 8, 7, 7, 7, 11, 10, 8, 8, 8, 7, 8, 7, 9] [7, 8, 7, 13, 7, 9, 10, 8, 9, 7, 9, 7, 8, 7, 6, 7, 9, 7, 8, 11, 12, 9, 8, 9, 10, 11, 12, 7, 8] [12, 9, 11, 7, 3, 2, 9, 11, 9, 9, 9, 9, 7, 9, 9, 8, 7, 9, 7, 9, 9, 12, 4, 2, 9, 4, 9, 9, 9, 1] [9, 8, 9, 3, 12, 9, 11, 9, 4, 9, 6, 9, 9, 12, 3, 8, 7, 3, 9, 7, 9, 8, 8, 9, 2, 7, 9, 9, 8] [9, 8, 9, 10, 7, 12, 9, 8, 10, 9, 9, 7, 10, 9, 7, 8, 9, 7, 10, 8, 7, 7, 11, 9, 9, 11, 7, 9, 8, 8] [7, 4, 11, 8, 9, 9, 12, 2, 9, 7, 3, 11, 7, 9, 9, 9, 3, 11, 7, 9, 9, 8, 4, 9, 12, 9, 9, 7, 4] [9, 12, 10, 11, 7, 11, 9, 8, 9, 9, 7, 3, 10, 7, 8, 9, 10, 9, 10, 12, 7, 9, 9, 11, 9, 9, 7, 9, 12] [3, 10, 7, 7, 9, 12, 9, 7, 9, 7, 9, 7, 7, 9, 8, 13, 10, 7, 3, 8, 12, 9, 10, 12, 8, 8, 12, 3, 11] [8, 11, 2, 9, 9, 8, 4, 9, 8, 4, 9, 12, 9, 9, 8, 3, 10, 9, 9, 11, 7, 7, 2, 2, 4, 8, 7, 4, 11, 8] [8, 4, 3, 8, 9, 8, 8, 8, 7, 8, 9, 11, 9, 9, 8, 9, 3, 6, 9, 7, 9, 7, 4, 8, 8, 7, 9, 8, 4] [9, 7, 4, 3, 3, 7, 7, 13, 8, 7, 8, 9, 3, 8, 9, 8, 12, 9, 3, 7, 9, 9, 8, 7, 7, 8, 9, 7, 7, 3] [9, 10, 3, 3, 9, 8, 4, 7, 7, 9, 8, 3, 9, 9, 12, 7, 11, 8, 9, 6, 8, 3, 10, 8, 7, 6, 8, 9, 10] [8, 9, 6, 3, 10, 10, 7, 4, 8, 7, 7, 9, 3, 7, 8, 12, 4, 9, 3, 9, 8, 8, 3, 6, 7, 3, 8, 7, 9, 7] [8, 7, 9, 2, 3, 4, 10, 13, 7, 8, 8, 9, 9, 3, 8, 9, 12, 9, 9, 8, 4, 7, 7, 4, 10, 8, 4, 8, 7] [4, 8, 8, 9, 9, 13, 7, 8, 8, 4, 8, 9, 9, 8, 9, 10, 11, 7, 9, 8, 7, 7, 3, 13, 7, 3, 7, 4, 8] [9, 8, 8, 7, 7, 8, 8, 7, 3, 7, 8, 8, 7, 4, 2, 8, 9, 9, 9, 9, 8, 7, 8, 8, 13, 9, 8, 9, 3] [10, 8, 6, 8, 12, 11, 6, 9, 7, 6, 9, 9, 8, 9, 8, 8, 7, 9, 8, 8, 8, 10, 4, 6, 6, 7, 8, 6, 8, 9] [8, 6, 10, 8, 8, 9, 11, 8, 9, 8, 9, 8, 9, 8, 9, 7, 8, 10, 9, 10, 9, 9, 6, 9, 11, 10, 9, 8, 6] [9, 9, 8, 10, 11, 3, 9, 10, 8, 9, 2, 9, 10, 2, 9, 9, 9, 8, 10, 9, 8, 9, 8, 3, 9, 8, 8, 9, 9, 3] [9, 7, 2, 11, 9, 9, 8, 3, 8, 8, 9, 2, 8, 9, 4, 9, 8, 11, 9, 10, 9, 7, 7, 9, 3, 10, 9, 9, 7] [2, 3, 9, 11, 8, 9, 9, 7, 4, 9, 9, 8, 11, 9, 10, 9, 8, 8, 11, 3, 10, 8, 8, 9, 9, 8, 10, 9, 3, 7] [10, 8, 2, 9, 2, 7, 9, 6, 8, 10, 11, 2, 8, 2, 9, 7, 4, 10, 8, 9, 7, 7, 8, 7, 9, 9, 7, 10, 8] [7, 9, 11, 10, 8, 10, 9, 7, 9, 7, 10, 4, 11, 10, 9, 9, 12, 9, 11, 9, 8, 8, 9, 10, 9, 9, 8, 7, 9] [4, 13, 10, 9, 9, 9, 2, 7, 9, 8, 9, 10, 8, 7, 9, 3, 11, 8, 4, 3, 9, 7, 13, 9, 6, 3, 9, 4, 8] [3, 9, 7, 7, 3, 12, 13, 4, 9, 13, 4, 7, 7, 4, 8, 10, 7, 7, 7, 9, 10, 6, 8, 7, 13, 10, 10, 13, 9, 6] [8, 13, 9, 9, 7, 7, 12, 7, 7, 8, 7, 9, 7, 7, 2, 7, 10, 9, 7, 6, 4, 3, 13, 7, 12, 6, 4, 8, 13] [4, 3, 13, 9, 12, 6, 7, 7, 7, 7, 9, 7, 9, 9, 7, 2, 7, 7, 9, 3, 7, 4, 8, 6, 7, 8, 7, 7, 3, 5] [7, 10, 9, 10, 4, 6, 13, 9, 10, 7, 2, 9, 7, 4, 7, 8, 9, 12, 7, 9, 6, 8, 10, 6, 6, 9, 6, 7, 10] [9, 3, 11, 12, 7, 3, 3, 9, 9, 3, 9, 8, 12, 9, 9, 7, 13, 8, 12, 3, 9, 8, 7, 11, 3, 7, 9, 3, 3, 9] [9, 10, 2, 10, 9, 9, 3, 7, 9, 9, 12, 2, 8, 9, 8, 4, 7, 3, 8, 6, 9, 9, 10, 9, 3, 6, 9, 9, 10] [9, 3, 12, 3, 8, 7, 9, 9, 6, 9, 9, 7, 2, 9, 7, 7, 8, 3, 2, 3, 10, 9, 11, 7, 9, 11, 10, 9, 3] [7, 4, 9, 6, 9, 3, 9, 10, 11, 10, 8, 9, 10, 9, 10, 8, 2, 8, 7, 3, 3, 12, 4, 3, 7, 3, 3, 7, 7] [3, 9, 13, 8, 7, 6, 9, 10, 7, 9, 3, 7, 8, 3, 7, 7, 8, 7, 8, 9, 7, 10, 7, 13, 9, 7, 7, 9, 9, 8] [7, 9, 12, 10, 8, 8, 6, 7, 6, 7, 4, 12, 7, 8, 7, 8, 7, 9, 7, 10, 10, 8, 9, 8, 6, 10, 10, 7, 9] [10, 7, 3, 9, 9, 11, 6, 3, 9, 8, 7, 8, 12, 7, 8, 7, 2, 9, 12, 7, 9, 3, 3, 11, 6, 3, 9, 8, 7, 10] [8, 7, 7, 2, 3, 7, 3, 12, 3, 9, 7, 7, 9, 10, 13, 8, 12, 9, 8, 9, 7, 9, 7, 7, 11, 9, 7, 8, 7] [7, 9, 8, 6, 8, 3, 8, 7, 7, 8, 4, 9, 6, 4, 9, 7, 7, 12, 6, 9, 12, 7, 10, 6, 8, 10, 12, 8, 9, 7] [9, 3, 3, 7, 7, 9, 10, 9, 9, 12, 9, 3, 12, 7, 7, 8, 13, 3, 9, 7, 9, 7, 3, 9, 3, 7, 9, 9, 3] [9, 10, 6, 3, 9, 3, 4, 7, 8, 9, 12, 13, 9, 9, 7, 8, 7, 7, 9, 3, 7, 9, 8, 3, 4, 6, 7, 9, 10] [13, 11, 9, 7, 4, 10, 7, 9, 8, 7, 7, 9, 7, 9, 7, 10, 9, 9, 13, 9, 3, 9, 11, 10, 13, 9, 10, 13, 10] [3, 9, 8, 4, 11, 8, 8, 10, 3, 8, 8, 3, 4, 8, 2, 9, 9, 8, 4, 9, 13, 3, 9, 8, 8, 8, 13, 8, 9, 10] [2, 8, 7, 8, 4, 2, 8, 7, 13, 2, 7, 9, 8, 4, 3, 8, 9, 8, 8, 3, 8, 13, 8, 2, 8, 3, 8, 2, 8] [10, 13, 8, 7, 7, 3, 13, 7, 7, 13, 8, 4, 7, 8, 4, 3, 3, 7, 7, 13, 7, 8, 10, 3, 13, 10, 7, 13, 13, 7] [4, 7, 7, 9, 10, 2, 8, 13, 13, 7, 6, 7, 7, 10, 3, 3, 9, 8, 4, 8, 2, 7, 7, 2, 3, 8, 2, 4, 7] [8, 4, 8, 7, 9, 7, 13, 8, 10, 13, 3, 10, 7, 3, 6, 3, 10, 10, 7, 4, 6, 10, 7, 8, 13, 7, 6, 13, 4, 13] [6, 13, 7, 8, 7, 8, 7, 7, 3, 6, 8, 7, 10, 7, 9, 2, 3, 4, 10, 10, 8, 13, 13, 8, 7, 10, 8, 6, 13] [8, 8, 8, 4, 8, 7, 3, 2, 2, 8, 3, 8, 7, 3, 8, 9, 9, 13, 7, 8, 13, 3, 7, 7, 3, 7, 13, 8, 8] [8, 7, 3, 9, 3, 8, 8, 9, 7, 13, 9, 3, 13, 8, 8, 7, 7, 8, 8, 4, 8, 3, 7, 8, 7, 4, 8, 8, 7] [7, 9, 7, 6, 8, 9, 8, 7, 9, 8, 7, 11, 6, 7, 6, 8, 12, 11, 6, 9, 6, 7, 2, 7, 8, 3, 6, 8, 9, 10] [6, 8, 9, 8, 6, 4, 9, 10, 4, 6, 10, 9, 11, 6, 10, 8, 8, 9, 11, 7, 7, 10, 8, 4, 9, 7, 7, 6, 8] [7, 10, 8, 9, 9, 7, 4, 7, 10, 4, 8, 8, 9, 8, 8, 10, 11, 3, 9, 10, 3, 7, 6, 7, 4, 6, 3, 4, 10, 10] [8, 3, 8, 9, 7, 10, 8, 9, 6, 3, 10, 8, 3, 7, 2, 11, 9, 9, 8, 9, 10, 13, 3, 10, 7, 9, 10, 8, 3] [8, 7, 4, 9, 3, 7, 10, 13, 10, 10, 8, 9, 9, 8, 9, 11, 8, 9, 9, 7, 9, 6, 8, 4, 10, 8, 9, 10, 7, 8] [9, 6, 8, 10, 8, 13, 7, 7, 6, 9, 9, 8, 9, 8, 2, 9, 2, 7, 9, 10, 13, 8, 6, 13, 7, 10, 13, 9, 6] [13, 7, 9, 7, 9, 7, 8, 8, 10, 13, 9, 2, 9, 9, 11, 10, 8, 10, 9, 7, 6, 6, 4, 7, 8, 4, 6, 13, 7] [2, 7, 9, 4, 8, 7, 8, 3, 4, 6, 2, 9, 6, 13, 10, 9, 9, 9, 2, 7, 7, 12, 7, 7, 7, 7, 7, 2, 8] [9, 4, 9, 13, 9, 6, 7, 10, 8, 7, 10, 12, 13, 10, 7, 7, 3, 12, 13, 4, 7, 8, 8, 9, 7, 9, 7, 7, 4, 7] [7, 7, 7, 8, 13, 8, 6, 3, 8, 7, 6, 4, 12, 13, 9, 9, 7, 7, 12, 8, 10, 7, 7, 8, 6, 8, 10, 7, 7] [10, 7, 7, 7, 3, 8, 8, 12, 3, 8, 8, 13, 7, 8, 13, 9, 12, 6, 7, 7, 6, 10, 7, 8, 8, 7, 6, 8, 7, 2] [13, 9, 10, 7, 10, 7, 7, 11, 7, 6, 9, 10, 6, 10, 9, 10, 4, 6, 13, 7, 7, 2, 9, 7, 8, 7, 7, 13, 9] [8, 9, 9, 3, 3, 9, 7, 4, 2, 7, 7, 3, 3, 7, 11, 12, 7, 3, 3, 9, 11, 7, 8, 9, 7, 8, 11, 7, 9, 11] [11, 7, 9, 9, 10, 4, 9, 12, 7, 11, 6, 9, 3, 10, 2, 10, 9, 9, 3, 7, 4, 11, 7, 4, 9, 7, 4, 11, 7] [4, 9, 6, 9, 3, 12, 7, 11, 7, 4, 11, 9, 9, 11, 12, 3, 8, 7, 9, 9, 7, 7, 9, 12, 7, 9, 7, 4, 9] [9, 10, 11, 7, 7, 9, 8, 9, 9, 7, 2, 11, 7, 4, 9, 6, 9, 3, 9, 9, 9, 3, 10, 9, 12, 9, 9, 9, 8] [9, 10, 7, 9, 9, 8, 7, 7, 8, 7, 7, 6, 9, 7, 13, 8, 7, 6, 9, 10, 13, 9, 9, 7, 7, 12, 13, 7, 10, 10] [13, 7, 6, 7, 9, 7, 8, 8, 7, 13, 10, 3, 6, 9, 12, 10, 8, 8, 6, 9, 7, 10, 7, 7, 8, 9, 7, 13, 7] [7, 3, 9, 8, 7, 9, 7, 9, 11, 7, 3, 3, 6, 3, 3, 9, 9, 11, 6, 3, 11, 7, 9, 9, 7, 9, 11, 7, 3, 6] [3, 12, 3, 8, 7, 3, 9, 8, 9, 11, 12, 3, 11, 7, 7, 2, 3, 7, 3, 8, 3, 2, 12, 3, 9, 8, 3, 3, 12] [3, 7, 7, 8, 9, 7, 10, 8, 9, 10, 10, 10, 8, 10, 8, 6, 8, 3, 8, 7, 6, 13, 9, 7, 10, 9, 6, 10, 7, 12] [8, 9, 9, 9, 3, 11, 7, 4, 11, 6, 7, 9, 3, 3, 3, 7, 7, 9, 10, 3, 11, 12, 9, 11, 7, 3, 11, 8, 9] [11, 7, 8, 9, 10, 9, 10, 12, 10, 11, 6, 7, 4, 8, 6, 3, 9, 3, 4, 7, 13, 11, 7, 9, 10, 7, 13, 11, 7] [7, 9, 8, 13, 10, 7, 3, 10, 7, 13, 3, 8, 13, 11, 9, 7, 4, 10, 7, 7, 7, 11, 9, 7, 7, 7, 7, 7, 9] [2, 9, 8, 3, 10, 9, 9, 11, 2, 9, 11, 7, 3, 11, 8, 7, 4, 7, 3, 9, 3, 9, 8, 8, 9, 9, 3, 9, 9, 8] [8, 9, 8, 9, 3, 6, 9, 4, 3, 8, 2, 9, 7, 3, 8, 7, 7, 8, 7, 9, 11, 3, 9, 6, 9, 9, 11, 8, 9] [11, 3, 9, 8, 12, 9, 3, 7, 4, 3, 9, 3, 8, 9, 3, 8, 7, 2, 8, 3, 2, 11, 8, 9, 3, 8, 2, 3, 3, 7] [3, 9, 12, 7, 11, 8, 9, 10, 3, 2, 8, 12, 2, 11, 7, 13, 9, 9, 3, 8, 8, 7, 9, 8, 9, 8, 8, 3, 9] [9, 10, 8, 12, 4, 9, 3, 9, 6, 3, 9, 11, 12, 9, 2, 7, 9, 11, 12, 10, 2, 8, 7, 8, 3, 7, 2, 3, 10, 10] [2, 3, 8, 9, 12, 9, 9, 7, 9, 2, 9, 8, 11, 12, 7, 11, 7, 10, 11, 8, 9, 10, 3, 9, 9, 8, 9, 2, 3] [9, 9, 9, 10, 11, 7, 9, 8, 8, 9, 2, 7, 8, 2, 7, 4, 9, 3, 8, 9, 3, 9, 8, 7, 9, 8, 3, 9, 9] [7, 4, 2, 8, 9, 9, 9, 8, 8, 3, 7, 2, 3, 9, 9, 9, 8, 11, 7, 10, 9, 13, 4, 9, 7, 10, 9, 7, 7] [9, 12, 8, 8, 7, 9, 8, 8, 6, 8, 8, 10, 8, 8, 8, 7, 10, 10, 8, 12, 8, 9, 9, 8, 8, 9, 8, 8, 12, 11] [8, 8, 9, 7, 8, 10, 9, 6, 10, 8, 11, 12, 10, 8, 7, 13, 7, 9, 10, 9, 8, 11, 8, 10, 9, 9, 8, 8, 8] [8, 11, 9, 9, 9, 8, 10, 9, 8, 10, 4, 11, 9, 4, 11, 7, 3, 2, 9, 11, 2, 8, 2, 8, 10, 2, 2, 10, 11, 7] [11, 9, 4, 9, 8, 11, 9, 7, 2, 2, 7, 4, 2, 8, 9, 3, 12, 9, 11, 9, 11, 3, 9, 11, 8, 9, 11, 11, 9] [4, 8, 10, 9, 8, 8, 11, 3, 9, 11, 11, 12, 9, 11, 9, 10, 7, 12, 9, 8, 9, 8, 9, 10, 11, 9, 9, 11, 8, 9] [9, 2, 9, 7, 4, 10, 8, 8, 2, 9, 9, 9, 12, 4, 11, 8, 9, 9, 12, 11, 10, 9, 2, 10, 8, 11, 10, 9, 2] [10, 8, 9, 9, 12, 9, 11, 9, 11, 10, 9, 9, 9, 9, 10, 11, 7, 11, 9, 8, 8, 2, 10, 9, 11, 10, 8, 10, 8] [9, 7, 9, 3, 11, 8, 4, 13, 10, 8, 11, 9, 8, 10, 7, 7, 9, 12, 9, 8, 8, 10, 7, 8, 8, 8, 8, 9, 9] [7, 3, 8, 10, 7, 7, 7, 9, 7, 7, 9, 10, 10, 9, 9, 8, 9, 10, 10, 3, 9, 7, 7, 8, 7, 4, 9, 7, 3, 12] [9, 7, 2, 7, 10, 9, 7, 13, 9, 9, 13, 3, 10, 10, 4, 6, 8, 2, 10, 7, 9, 12, 7, 9, 7, 7, 9, 9, 7] [9, 12, 7, 2, 7, 7, 9, 3, 13, 9, 7, 10, 2, 7, 10, 4, 10, 13, 2, 12, 13, 9, 9, 7, 9, 9, 13, 9, 12, 13] [10, 4, 7, 8, 9, 12, 7, 10, 9, 13, 4, 7, 13, 9, 6, 8, 3, 7, 10, 2, 12, 6, 4, 12, 7, 2, 12, 10, 4] [7, 7, 9, 7, 13, 8, 12, 3, 11, 12, 2, 8, 7, 2, 10, 10, 7, 8, 7, 7, 10, 9, 9, 9, 12, 9, 10, 12, 7, 3] [10, 9, 8, 4, 7, 3, 8, 10, 2, 10, 7, 8, 8, 7, 6, 9, 6, 7, 8, 12, 3, 3, 9, 3, 8, 12, 3, 10, 9] [3, 8, 7, 7, 8, 3, 2, 3, 12, 3, 10, 6, 8, 10, 10, 13, 7, 12, 8, 8, 9, 2, 9, 3, 2, 9, 9, 3, 8] [6, 9, 10, 8, 2, 8, 7, 4, 9, 9, 6, 10, 9, 3, 4, 2, 8, 8, 6, 7, 8, 7, 9, 8, 10, 7, 8, 6, 9] [8, 7, 7, 7, 8, 7, 8, 9, 13, 8, 12, 13, 7, 12, 10, 13, 4, 13, 7, 7, 10, 4, 6, 7, 8, 3, 10, 8, 7, 6] [10, 8, 7, 8, 7, 9, 7, 9, 12, 10, 9, 7, 13, 7, 3, 6, 13, 7, 13, 4, 9, 6, 8, 9, 7, 4, 9, 10, 8] [9, 9, 8, 7, 2, 9, 12, 7, 3, 9, 13, 2, 7, 13, 2, 8, 8, 3, 7, 9, 3, 12, 7, 9, 12, 7, 3, 9, 9] [2, 10, 13, 8, 12, 9, 8, 7, 7, 3, 3, 13, 3, 9, 7, 8, 7, 2, 2, 7, 9, 11, 10, 9, 9, 7, 9, 2, 3] [13, 8, 9, 7, 7, 12, 6, 9, 8, 6, 9, 7, 7, 9, 7, 13, 13, 7, 7, 8, 7, 10, 4, 12, 6, 4, 7, 6, 8, 3] [7, 7, 7, 8, 13, 3, 9, 3, 3, 7, 2, 7, 7, 13, 13, 4, 7, 8, 7, 9, 3, 3, 7, 3, 12, 9, 3, 7, 7] [3, 9, 7, 8, 7, 7, 9, 10, 6, 3, 7, 7, 10, 7, 13, 2, 8, 9, 10, 12, 10, 3, 9, 7, 9, 12, 10, 3, 9] [7, 9, 7, 10, 9, 9, 13, 11, 9, 10, 13, 7, 10, 3, 8, 9, 10, 7, 7, 8, 12, 3, 9, 9, 7, 8, 9, 7, 4] [9, 3, 9, 7, 9, 8, 8, 8, 11, 8, 7, 7, 7, 7, 10] [10, 8, 10, 7, 7, 7, 8, 4, 8, 10, 7, 3, 10, 7, 9] [8, 13, 8, 10, 7, 3, 8, 7, 4, 8, 8, 7, 10, 8, 7] [7, 2, 9, 9, 8, 10, 8, 8, 2, 7, 7, 9, 7, 8] [7, 7, 13, 7, 9, 10, 13, 8, 7, 13, 3, 9, 7, 3, 7] [7, 13, 7, 8, 7, 8, 10, 7, 3, 7, 8, 7, 9, 7, 12] [8, 13, 7, 7, 7, 8, 3, 7, 10, 8, 8, 13, 7, 8, 13] [13, 4, 8, 7, 3, 13, 7, 9, 2, 2, 12, 8, 2, 8] [2, 10, 4, 7, 7, 7, 13, 8, 9, 13, 8, 12, 7, 8, 8] [8, 13, 13, 7, 7, 7, 7, 7, 7, 8, 9, 10, 12, 7, 7] [8, 3, 13, 13, 7, 10, 7, 7, 7, 7, 7, 7, 13, 7, 7] [7, 6, 7, 8, 8, 3, 13, 8, 8, 9, 7, 7, 9, 8] [7, 2, 8, 7, 8, 7, 3, 8, 8, 3, 7, 13, 7, 7, 2] [2, 8, 3, 9, 7, 8, 7, 4, 7, 2, 7, 3, 13, 7] [8, 7, 7, 2, 13, 7, 7, 3, 3, 8, 2, 9, 3, 2, 12] [9, 8, 2, 10, 7, 7, 7, 9, 8, 8, 9, 2, 8, 8] [13, 9, 9, 10, 8, 3, 8, 7, 8, 8, 7, 9, 10, 7, 7] [7, 8, 10, 3, 10, 9, 3, 6, 9, 7, 13, 9, 9, 10, 7] [7, 4, 8, 10, 2, 7, 9, 9, 6, 9, 3, 10, 10, 3, 10] [10, 6, 2, 7, 7, 7, 8, 8, 4, 13, 7, 2, 13, 7] [3, 10, 10, 2, 7, 6, 4, 8, 9, 4, 7, 7, 2, 7, 7] [7, 4, 13, 12, 2, 8, 6, 9, 7, 7, 3, 13, 7, 2, 3] [8, 6, 3, 10, 7, 9, 7, 8, 7, 8, 7, 9, 13, 7, 9] [9, 8, 7, 4, 7, 6, 3, 9, 10, 4, 7, 7, 4, 8] [6, 10, 7, 7, 9, 8, 10, 4, 3, 10, 4, 2, 7, 4, 13] [13, 10, 8, 7, 7, 7, 8, 9, 7, 13, 7, 10, 2, 7, 8] [4, 6, 6, 8, 8, 10, 7, 8, 8, 7, 7, 7, 8, 7, 7] [7, 9, 7, 9, 4, 6, 6, 10, 13, 7, 8, 7, 7, 4] [7, 10, 7, 8, 7, 4, 8, 9, 9, 8, 7, 10, 8, 7, 8] [8, 13, 12, 8, 7, 8, 4, 7, 7, 8, 8, 12, 10, 7] [8, 4, 8, 6, 10, 8, 7, 9, 8, 8, 8, 3, 9, 8, 2] [3, 2, 8, 9, 7, 4, 7, 4, 7, 13, 3, 8, 13, 8] [4, 8, 4, 3, 8, 9, 7, 9, 9, 7, 12, 6, 3, 12, 10] [10, 7, 7, 9, 3, 3, 9, 13, 6, 10, 2, 8, 11, 3, 9] [9, 8, 7, 7, 8, 8, 6, 7, 13, 6, 9, 3, 7, 9, 3] [3, 7, 8, 9, 9, 10, 7, 8, 8, 2, 12, 8, 2, 9] [9, 3, 7, 8, 9, 7, 8, 7, 3, 8, 8, 9, 8, 8, 12] [12, 8, 2, 3, 8, 7, 7, 7, 8, 12, 9, 2, 9, 8, 9] [7, 7, 9, 3, 12, 7, 8, 10, 10, 7, 9, 11, 2, 9, 11] [11, 13, 9, 9, 8, 7, 9, 7, 7, 8, 9, 9, 8, 7] [7, 2, 9, 12, 8, 8, 7, 9, 3, 7, 9, 9, 12, 9, 4] [4, 7, 11, 10, 12, 9, 8, 3, 9, 4, 9, 2, 9, 12, 9] [9, 7, 7, 11, 8, 7, 9, 9, 10, 9, 10, 12, 11, 10, 12] [12, 11, 10, 3, 9, 7, 7, 9, 4, 9, 9, 10, 9, 9] [10, 7, 9, 8, 9, 9, 7, 6, 3, 7, 12, 2, 8, 12, 11] [11, 4, 3, 9, 10, 8, 9, 9, 12, 11, 8, 3, 2, 10] [8, 9, 8, 7, 2, 9, 12, 11, 7, 8, 11, 9, 3, 11, 9] [9, 9, 11, 4, 12, 9, 10, 7, 9, 4, 7, 11, 4, 8] [11, 8, 10, 8, 8, 12, 7, 7, 9, 7, 7, 10, 8, 7, 7] [7, 7, 10, 12, 8, 8, 12, 9, 8, 7, 11, 8, 8, 8, 9] [7, 7, 7, 10, 9, 9, 8, 6, 9, 8, 12, 8, 10, 12, 8] [8, 13, 9, 8, 7, 7, 7, 7, 7, 11, 9, 9, 11, 7] [12, 11, 3, 9, 9, 9, 7, 9, 7, 7, 9, 4, 9, 9, 9] [9, 7, 2, 11, 9, 9, 9, 8, 9, 9, 12, 2, 4, 9, 1] [9, 9, 12, 11, 4, 6, 9, 3, 7, 9, 9, 8, 2, 9, 8] [8, 3, 9, 9, 9, 9, 12, 8, 3, 7, 8, 9, 7, 9] [9, 9, 7, 9, 10, 9, 10, 7, 9, 10, 7, 11, 9, 7, 8] [8, 10, 12, 8, 9, 7, 9, 8, 7, 8, 7, 9, 11, 9, 8] [7, 11, 9, 12, 9, 3, 7, 9, 3, 7, 9, 4, 12, 9, 4] [4, 8, 9, 2, 7, 11, 9, 9, 11, 9, 8, 9, 9, 7] [9, 10, 7, 9, 9, 7, 10, 8, 10, 10, 7, 9, 9, 7, 12] [12, 11, 11, 8, 9, 3, 7, 9, 9, 12, 9, 11, 9, 9] [3, 7, 9, 9, 9, 9, 7, 8, 10, 3, 12, 10, 8, 12, 11] [10, 7, 12, 7, 7, 7, 9, 13, 7, 8, 9, 12, 8, 3] [8, 2, 9, 4, 8, 9, 9, 8, 10, 9, 7, 2, 4, 7, 11] [11, 9, 8, 9, 4, 12, 9, 3, 9, 11, 7, 2, 8, 4, 8] [8, 3, 9, 8, 7, 9, 9, 8, 3, 9, 9, 4, 8, 9, 4] [4, 8, 8, 8, 8, 11, 9, 9, 6, 7, 7, 8, 7, 8] [9, 4, 3, 7, 8, 8, 3, 9, 12, 3, 9, 8, 7, 9, 7] [7, 3, 7, 13, 7, 9, 8, 8, 9, 7, 9, 7, 8, 7, 3] [9, 3, 9, 4, 7, 8, 9, 12, 11, 9, 8, 10, 7, 8, 10] [10, 3, 8, 7, 9, 3, 9, 7, 8, 6, 3, 8, 6, 9] [8, 6, 10, 7, 8, 7, 3, 8, 4, 3, 8, 3, 7, 8, 9] [9, 3, 10, 4, 7, 9, 7, 12, 9, 9, 8, 6, 3, 7, 7] [8, 9, 3, 10, 7, 8, 9, 8, 12, 9, 4, 7, 10, 4, 7] [7, 2, 4, 13, 8, 9, 3, 9, 9, 8, 7, 4, 8, 8] [4, 8, 9, 7, 8, 8, 9, 9, 11, 9, 7, 3, 7, 7, 8] [8, 9, 13, 8, 4, 9, 8, 10, 7, 8, 7, 13, 3, 4] [9, 8, 7, 8, 3, 8, 7, 2, 9, 9, 8, 8, 13, 8, 3] [8, 7, 8, 7, 7, 8, 4, 8, 9, 9, 7, 8, 9, 9] [10, 6, 12, 6, 7, 9, 8, 8, 7, 8, 8, 4, 6, 8, 8] [8, 8, 11, 9, 6, 9, 9, 8, 9, 8, 10, 6, 7, 6, 9] [8, 10, 8, 11, 9, 9, 9, 9, 8, 9, 9, 6, 11, 9, 6] [6, 8, 9, 8, 8, 8, 8, 7, 10, 10, 9, 9, 10, 8] [9, 8, 11, 9, 8, 2, 10, 9, 9, 10, 8, 8, 9, 8, 9] [9, 10, 3, 10, 9, 9, 2, 9, 8, 9, 9, 3, 8, 9, 3] [9, 2, 9, 8, 8, 9, 8, 4, 8, 9, 9, 7, 3, 9, 7] [7, 11, 9, 3, 8, 2, 9, 9, 11, 10, 7, 9, 10, 9] [2, 9, 8, 9, 4, 9, 11, 10, 8, 11, 10, 8, 9, 10, 3] [3, 11, 9, 7, 9, 8, 9, 9, 8, 3, 8, 9, 8, 9, 7] [10, 2, 2, 9, 8, 11, 8, 9, 4, 8, 7, 8, 9, 7, 8] [8, 9, 7, 6, 10, 2, 2, 7, 10, 9, 7, 7, 9, 10] [7, 11, 8, 9, 9, 10, 11, 9, 12, 11, 8, 9, 9, 8, 9] [9, 10, 10, 7, 7, 4, 10, 9, 9, 9, 8, 10, 9, 7] [4, 10, 9, 2, 9, 9, 8, 9, 11, 4, 9, 13, 6, 9, 8] [13, 9, 9, 7, 8, 10, 7, 3, 8, 3, 7, 9, 3, 4] [3, 7, 3, 13, 9, 4, 7, 8, 7, 7, 10, 8, 13, 10, 9] [9, 7, 12, 4, 13, 7, 4, 10, 7, 9, 6, 7, 10, 13, 6] [8, 9, 7, 12, 7, 7, 7, 2, 10, 7, 4, 13, 12, 4, 13] [13, 9, 7, 7, 8, 9, 7, 7, 9, 6, 3, 7, 6, 8] [4, 13, 12, 7, 7, 9, 9, 7, 7, 9, 7, 8, 7, 7, 3] [3, 9, 6, 7, 7, 7, 9, 2, 7, 3, 4, 6, 8, 7, 5] [7, 9, 4, 13, 10, 2, 7, 7, 9, 7, 6, 10, 6, 6, 10] [10, 10, 6, 9, 7, 9, 4, 8, 12, 9, 8, 6, 9, 7] [9, 11, 7, 3, 9, 9, 12, 9, 13, 12, 9, 7, 3, 9, 3] [3, 12, 3, 9, 3, 8, 9, 7, 8, 3, 8, 11, 7, 3, 9] [9, 2, 9, 3, 9, 12, 8, 8, 7, 8, 9, 10, 3, 9, 10] [10, 10, 9, 7, 9, 2, 9, 4, 3, 6, 9, 9, 6, 9] [9, 12, 8, 9, 6, 9, 2, 7, 8, 2, 10, 11, 9, 10, 3] [3, 3, 7, 9, 9, 7, 9, 7, 3, 3, 9, 7, 11, 9] [7, 9, 9, 9, 11, 8, 10, 10, 2, 7, 3, 4, 7, 3, 7] [4, 6, 3, 10, 10, 9, 9, 8, 8, 3, 12, 3, 3, 7] [3, 13, 7, 9, 7, 3, 8, 7, 8, 8, 7, 7, 9, 7, 9] [9, 8, 6, 10, 9, 7, 3, 7, 7, 9, 10, 13, 7, 9, 8] [7, 12, 8, 6, 6, 4, 7, 7, 7, 7, 10, 9, 6, 10, 9] [9, 10, 8, 7, 7, 12, 8, 8, 9, 10, 8, 8, 10, 7] [10, 3, 9, 6, 9, 7, 12, 8, 2, 12, 9, 3, 6, 9, 7] [7, 9, 11, 3, 8, 8, 7, 7, 9, 7, 3, 11, 3, 8, 10] [8, 7, 3, 3, 3, 7, 9, 13, 12, 8, 7, 7, 11, 7, 7] [7, 2, 7, 12, 9, 7, 10, 8, 9, 9, 9, 7, 9, 8] [7, 8, 8, 8, 7, 4, 6, 9, 7, 6, 12, 10, 8, 12, 9] [9, 6, 3, 7, 8, 9, 4, 7, 12, 9, 7, 6, 10, 8, 7] [9, 3, 7, 10, 9, 9, 12, 7, 13, 9, 9, 3, 3, 9, 3] [3, 7, 9, 9, 12, 3, 7, 8, 3, 7, 7, 9, 7, 9] [9, 6, 9, 4, 8, 12, 9, 7, 7, 9, 7, 8, 4, 7, 10] [10, 3, 3, 7, 9, 13, 9, 8, 7, 3, 9, 3, 6, 9] [13, 9, 4, 7, 8, 7, 7, 7, 9, 13, 3, 11, 13, 10, 10] [11, 7, 10, 9, 7, 9, 9, 10, 9, 9, 9, 10, 9, 13] [3, 8, 11, 8, 3, 8, 4, 2, 9, 4, 13, 9, 8, 13, 9] [9, 4, 8, 10, 8, 3, 8, 9, 8, 9, 3, 8, 8, 8, 10] [2, 7, 4, 8, 13, 7, 8, 3, 9, 8, 8, 8, 8, 8, 8] [8, 8, 2, 7, 2, 9, 4, 8, 8, 3, 13, 2, 3, 2] [10, 8, 7, 13, 7, 8, 7, 4, 3, 7, 7, 10, 13, 7, 13] [13, 7, 3, 7, 13, 4, 8, 3, 7, 13, 8, 3, 10, 13, 7] [4, 7, 10, 8, 13, 6, 7, 3, 9, 4, 2, 7, 3, 2, 7] [7, 9, 2, 13, 7, 7, 10, 3, 8, 8, 7, 2, 8, 4] [8, 8, 9, 13, 10, 3, 7, 6, 10, 7, 6, 7, 13, 6, 4] [4, 7, 7, 8, 13, 10, 3, 3, 10, 4, 10, 8, 7, 13, 13] [6, 7, 7, 7, 3, 8, 10, 9, 3, 10, 8, 13, 7, 8, 13] [13, 8, 8, 7, 6, 7, 7, 2, 4, 10, 13, 8, 10, 6] [8, 8, 8, 3, 2, 3, 7, 8, 9, 7, 13, 7, 3, 13, 8] [8, 4, 7, 2, 8, 8, 3, 9, 13, 8, 3, 7, 7, 8] [8, 3, 3, 8, 7, 9, 13, 8, 7, 8, 8, 7, 7, 8, 7] [7, 9, 8, 9, 13, 3, 8, 7, 8, 4, 3, 8, 4, 8] [7, 7, 8, 8, 9, 7, 6, 6, 12, 6, 6, 2, 8, 6, 9] [9, 6, 9, 7, 8, 11, 7, 8, 11, 9, 7, 7, 3, 8, 10] [6, 9, 6, 9, 4, 10, 11, 10, 8, 11, 7, 8, 9, 7, 8] [8, 8, 4, 10, 6, 9, 6, 8, 9, 7, 10, 4, 7, 6] [7, 8, 9, 4, 10, 8, 9, 8, 11, 9, 3, 6, 4, 3, 10] [10, 9, 7, 7, 4, 8, 8, 10, 3, 10, 7, 7, 6, 4, 10] [8, 8, 7, 8, 6, 10, 3, 2, 9, 8, 10, 3, 7, 10, 3] [3, 9, 10, 9, 3, 8, 7, 11, 9, 9, 13, 10, 9, 8] [8, 4, 3, 10, 10, 8, 9, 9, 8, 9, 9, 8, 10, 9, 7] [7, 9, 7, 13, 10, 9, 8, 11, 9, 7, 6, 4, 8, 10, 8] [9, 8, 8, 7, 6, 9, 9, 2, 2, 9, 13, 6, 7, 13, 6] [6, 10, 13, 7, 9, 8, 8, 9, 7, 10, 8, 13, 10, 9] [13, 9, 9, 8, 10, 9, 9, 11, 8, 9, 6, 4, 8, 6, 7] [7, 7, 7, 8, 13, 2, 9, 10, 10, 7, 6, 7, 4, 13] [2, 9, 8, 8, 4, 2, 6, 10, 9, 2, 7, 7, 7, 7, 8] [7, 4, 7, 3, 6, 9, 13, 9, 9, 7, 12, 7, 7, 2] [9, 9, 9, 7, 8, 10, 13, 7, 3, 13, 7, 8, 7, 7, 4] [4, 13, 6, 10, 7, 12, 10, 7, 12, 4, 8, 9, 9, 7, 7] [7, 7, 13, 6, 8, 6, 12, 9, 7, 12, 10, 7, 6, 10, 7] [7, 8, 8, 3, 7, 4, 13, 9, 7, 8, 7, 8, 8, 7] [10, 7, 3, 8, 3, 8, 7, 13, 12, 7, 6, 7, 8, 6, 7] [7, 7, 8, 12, 8, 13, 8, 9, 6, 7, 10, 8, 7, 8, 2] [13, 10, 10, 7, 7, 9, 6, 9, 4, 13, 7, 9, 8, 7, 9] [9, 7, 7, 11, 6, 10, 10, 10, 6, 7, 2, 7, 7, 13] [8, 9, 3, 7, 2, 7, 3, 11, 7, 3, 11, 8, 7, 11, 9] [9, 3, 9, 4, 7, 3, 7, 12, 3, 9, 7, 9, 8, 7, 11] [11, 9, 10, 9, 7, 6, 3, 2, 9, 3, 4, 7, 9, 4, 7] [7, 9, 4, 12, 11, 9, 10, 10, 9, 7, 11, 4, 7, 11] [4, 6, 3, 7, 7, 11, 9, 12, 8, 9, 7, 9, 7, 7, 9] [9, 9, 12, 11, 4, 9, 11, 3, 7, 9, 7, 12, 9, 4] [9, 11, 7, 8, 9, 2, 7, 9, 9, 9, 9, 10, 12, 9, 8] [10, 7, 9, 9, 7, 11, 4, 6, 3, 9, 3, 9, 9, 9] [9, 7, 9, 7, 8, 7, 9, 13, 7, 9, 13, 9, 7, 13, 10] [10, 9, 8, 7, 7, 6, 7, 8, 6, 10, 9, 7, 12, 7, 10] [13, 6, 9, 8, 7, 10, 6, 12, 8, 6, 7, 7, 8, 7, 7] [7, 7, 7, 8, 13, 3, 9, 10, 8, 9, 10, 7, 9, 13] [7, 9, 7, 7, 11, 3, 6, 3, 9, 6, 11, 9, 7, 11, 3] [3, 8, 9, 9, 7, 3, 3, 9, 11, 3, 7, 9, 9, 7, 6] [3, 3, 7, 9, 9, 12, 11, 7, 3, 3, 3, 12, 9, 3, 12] [12, 8, 3, 8, 11, 3, 7, 2, 7, 8, 2, 3, 8, 3] [3, 7, 9, 10, 9, 10, 8, 8, 8, 8, 6, 9, 10, 6, 7] [7, 8, 7, 8, 10, 10, 10, 6, 3, 7, 13, 7, 9, 10, 12] [8, 9, 3, 7, 11, 7, 3, 3, 7, 10, 11, 9, 7, 11, 9] [9, 9, 11, 4, 6, 9, 3, 7, 9, 3, 12, 11, 3, 8] [11, 8, 10, 10, 10, 6, 4, 6, 9, 4, 13, 7, 10, 13, 7] [7, 9, 9, 12, 11, 7, 8, 3, 3, 7, 11, 9, 7, 11] [7, 8, 10, 3, 7, 3, 13, 9, 4, 7, 7, 9, 7, 7, 9] [9, 13, 7, 10, 13, 8, 11, 7, 10, 7, 11, 7, 7, 7] [2, 8, 10, 9, 2, 11, 3, 8, 4, 3, 3, 8, 9, 3, 9] [9, 3, 9, 11, 9, 7, 11, 7, 7, 9, 9, 8, 9, 9, 8] [8, 8, 3, 9, 3, 2, 7, 8, 7, 7, 11, 9, 9, 11, 9] [9, 9, 6, 4, 8, 9, 3, 7, 8, 9, 3, 6, 9, 8] [11, 9, 12, 3, 4, 9, 8, 3, 7, 8, 2, 8, 3, 2, 3] [3, 8, 9, 7, 3, 3, 9, 8, 2, 3, 11, 9, 8, 3, 7] [3, 12, 11, 9, 3, 8, 2, 7, 9, 3, 8, 9, 9, 8, 9] [9, 7, 8, 10, 2, 12, 11, 13, 9, 8, 7, 8, 8, 3] [9, 8, 4, 3, 6, 9, 12, 2, 9, 12, 2, 7, 3, 2, 10] [10, 12, 9, 9, 3, 11, 9, 7, 11, 10, 8, 8, 7, 3, 10] [2, 8, 12, 9, 9, 9, 11, 7, 7, 11, 9, 3, 9, 9, 3] [3, 9, 9, 7, 2, 8, 12, 11, 10, 8, 10, 9, 8, 2] [9, 9, 11, 9, 8, 2, 8, 7, 9, 8, 3, 8, 9, 3, 9] [9, 10, 7, 8, 9, 7, 2, 4, 3, 9, 9, 7, 8, 9] [7, 2, 9, 9, 8, 7, 3, 9, 8, 7, 9, 4, 7, 9, 7] [4, 8, 9, 8, 3, 2, 9, 9, 11, 10, 13, 9, 10, 7] [9, 8, 7, 8, 6, 8, 8, 8, 10, 8, 8, 9, 8, 8, 12] [12, 8, 9, 8, 8, 10, 8, 7, 10, 12, 9, 8, 9, 8, 11] [8, 9, 8, 9, 10, 11, 10, 7, 7, 10, 8, 8, 9, 8, 8] [8, 7, 10, 6, 8, 12, 8, 13, 9, 9, 11, 10, 9, 8] [8, 9, 9, 10, 8, 4, 9, 11, 3, 9, 2, 2, 10, 2, 11] [11, 9, 8, 9, 10, 11, 4, 7, 2, 11, 8, 8, 2, 10, 7] [11, 4, 8, 9, 2, 7, 2, 9, 12, 11, 11, 9, 8, 11, 9] [9, 9, 11, 7, 2, 4, 8, 3, 9, 9, 3, 11, 9, 11] [4, 10, 8, 11, 9, 11, 9, 9, 7, 9, 9, 9, 11, 9, 8] [8, 9, 8, 3, 11, 12, 11, 10, 12, 8, 8, 10, 9, 11, 9] [9, 9, 4, 8, 2, 9, 12, 11, 9, 12, 10, 2, 8, 10, 2] [2, 7, 10, 8, 9, 9, 4, 8, 9, 11, 9, 10, 11, 9] [10, 9, 12, 11, 11, 9, 9, 10, 7, 9, 8, 10, 11, 8, 8] [8, 9, 9, 9, 10, 9, 9, 11, 11, 8, 2, 9, 10, 10] [9, 9, 11, 4, 10, 11, 8, 7, 9, 9, 8, 7, 8, 8, 9] [7, 3, 8, 13, 8, 9, 10, 7, 12, 8, 10, 8, 8, 9] [7, 8, 7, 7, 7, 9, 10, 9, 9, 10, 9, 7, 7, 9, 3] [3, 10, 7, 9, 7, 10, 9, 8, 10, 3, 7, 8, 4, 7, 12] [9, 2, 10, 7, 9, 13, 10, 4, 8, 10, 9, 7, 7, 9, 7] [7, 7, 9, 13, 9, 3, 10, 6, 2, 7, 12, 9, 7, 9] [9, 7, 7, 9, 13, 7, 2, 10, 10, 2, 13, 9, 9, 13, 12] [12, 2, 7, 3, 9, 10, 7, 4, 13, 12, 9, 7, 9, 9, 13] [10, 7, 9, 7, 9, 4, 13, 6, 3, 10, 12, 4, 7, 12, 4] [4, 8, 12, 10, 13, 7, 9, 8, 7, 2, 6, 12, 2, 10] [7, 9, 13, 12, 11, 2, 7, 10, 7, 7, 10, 9, 12, 10, 7] [7, 7, 8, 3, 12, 8, 2, 10, 8, 7, 9, 9, 9, 12, 3] [10, 8, 7, 8, 2, 7, 8, 6, 6, 8, 3, 9, 8, 3, 9] [9, 4, 3, 10, 10, 8, 7, 9, 7, 12, 3, 3, 12, 10] [3, 7, 8, 2, 12, 10, 8, 10, 7, 8, 9, 9, 2, 9, 8] [8, 7, 3, 3, 3, 6, 10, 13, 12, 8, 2, 3, 9, 3] [6, 10, 2, 7, 9, 6, 9, 4, 8, 6, 8, 9, 10, 8, 9] [9, 8, 8, 4, 9, 10, 3, 2, 8, 7, 7, 8, 7, 6] [8, 7, 8, 8, 13, 12, 7, 10, 4, 7, 10, 6, 8, 10, 7] [7, 7, 7, 9, 8, 13, 12, 13, 13, 7, 4, 7, 3, 8, 6] [10, 7, 7, 7, 12, 9, 13, 3, 13, 13, 9, 8, 7, 9, 8] [8, 8, 9, 9, 10, 7, 7, 6, 7, 4, 6, 9, 4, 10] [9, 8, 2, 12, 3, 13, 7, 2, 8, 7, 3, 7, 12, 3, 9] [9, 7, 9, 7, 9, 2, 13, 8, 3, 9, 12, 9, 7, 9] [2, 13, 12, 8, 7, 3, 3, 7, 7, 2, 9, 10, 9, 9, 3] [10, 8, 9, 7, 3, 13, 9, 8, 2, 7, 11, 9, 7, 2] [13, 9, 7, 6, 8, 9, 7, 7, 13, 7, 7, 4, 6, 7, 8] [8, 7, 12, 9, 6, 7, 9, 13, 7, 8, 10, 12, 4, 6, 3] [7, 7, 13, 9, 3, 2, 7, 13, 7, 7, 3, 7, 12, 3, 7] [7, 8, 3, 3, 7, 7, 13, 4, 8, 9, 3, 3, 9, 7] [3, 7, 7, 9, 6, 7, 10, 13, 8, 10, 10, 9, 9, 10, 9] [9, 8, 7, 10, 3, 7, 7, 2, 9, 12, 3, 7, 12, 3] [7, 7, 9, 13, 9, 13, 10, 8, 10, 7, 12, 9, 7, 9, 4] [9, 10, 9, 11, 10, 7, 3, 9, 7, 8, 3, 9, 8, 7] [9, 9, 9, 8, 11, 7, 7, 10] [3, 7, 8, 8, 8, 7, 7] [10, 10, 7, 8, 8, 7, 10, 9] [8, 7, 7, 4, 10, 3, 7] [8, 8, 7, 8, 4, 8, 10, 7] [13, 10, 3, 7, 8, 7, 8] [7, 9, 8, 8, 2, 7, 7] [2, 9, 10, 8, 7, 9, 8] [7, 13, 9, 13, 7, 3, 7, 7] [7, 7, 10, 8, 13, 9, 3] [7, 7, 7, 10, 3, 8, 9, 12] [13, 8, 8, 7, 7, 7, 7] [8, 7, 7, 3, 10, 8, 7, 13] [13, 7, 8, 7, 8, 13, 8] [13, 8, 3, 7, 2, 12, 2] [4, 7, 13, 9, 2, 8, 8] [2, 4, 7, 13, 9, 8, 7, 8] [10, 7, 7, 8, 13, 12, 8] [8, 13, 7, 7, 7, 9, 12, 7] [13, 7, 7, 7, 8, 10, 7] [8, 13, 7, 7, 7, 7, 13, 7] [3, 13, 10, 7, 7, 7, 7] [7, 7, 8, 13, 8, 7, 9] [6, 8, 3, 8, 9, 7, 8] [7, 8, 8, 3, 8, 7, 7, 2] [2, 7, 7, 8, 3, 13, 7] [2, 3, 7, 7, 7, 7, 13] [8, 9, 8, 4, 2, 3, 7] [8, 7, 13, 7, 3, 2, 3, 12] [7, 2, 7, 3, 8, 9, 2] [9, 2, 7, 7, 8, 9, 8] [8, 10, 7, 9, 8, 2, 8] [13, 9, 8, 8, 8, 7, 10, 7] [9, 10, 3, 7, 8, 9, 7] [7, 10, 10, 3, 9, 13, 9, 7] [8, 3, 9, 6, 7, 9, 10] [7, 8, 2, 9, 6, 3, 10, 10] [4, 10, 7, 9, 9, 10, 3] [10, 2, 7, 8, 4, 7, 13] [6, 7, 7, 8, 13, 2, 7] [3, 10, 7, 4, 9, 7, 2, 7] [10, 2, 6, 8, 4, 7, 7] [7, 13, 2, 6, 7, 3, 7, 3] [4, 12, 8, 9, 7, 13, 2] [8, 3, 7, 7, 7, 7, 13, 9] [6, 10, 9, 8, 8, 9, 7] [9, 7, 7, 3, 10, 7, 4] [8, 4, 6, 9, 4, 7, 8] [6, 7, 9, 10, 3, 4, 7, 13] [10, 7, 8, 4, 10, 2, 4] [13, 8, 7, 8, 7, 7, 2, 8] [10, 7, 7, 9, 13, 10, 7] [4, 6, 8, 7, 8, 7, 8, 7] [6, 8, 10, 8, 7, 7, 7] [7, 7, 4, 6, 13, 8, 7] [9, 9, 6, 10, 7, 7, 4] [7, 7, 7, 8, 9, 7, 8, 8] [10, 8, 4, 9, 8, 10, 7] [8, 12, 7, 4, 7, 8, 10] [13, 8, 8, 7, 8, 12, 7] [8, 8, 10, 7, 8, 8, 9, 2] [4, 6, 8, 9, 8, 3, 8] [3, 8, 7, 7, 7, 3, 13] [2, 9, 4, 4, 13, 8, 8] [4, 4, 8, 7, 9, 12, 3, 10] [8, 3, 9, 9, 7, 6, 12] [10, 7, 3, 9, 6, 2, 11, 9] [7, 9, 3, 13, 10, 8, 3] [9, 7, 8, 6, 13, 9, 7, 3] [8, 7, 8, 7, 6, 3, 9] [3, 8, 9, 7, 8, 12, 2] [7, 9, 10, 8, 2, 8, 9] [9, 7, 9, 8, 3, 8, 8, 12] [3, 8, 7, 7, 8, 9, 8] [12, 2, 8, 7, 8, 9, 9, 9] [8, 3, 7, 7, 12, 2, 8] [7, 9, 12, 8, 10, 9, 2, 11] [7, 3, 7, 10, 7, 11, 9] [11, 9, 8, 9, 7, 9, 8] [7, 9, 8, 7, 3, 9, 12, 4] [2, 12, 8, 9, 7, 9, 9] [4, 11, 12, 8, 9, 9, 9, 9] [7, 10, 9, 3, 4, 2, 12] [9, 7, 8, 9, 10, 10, 11, 12] [7, 11, 7, 9, 9, 12, 10] [12, 10, 9, 7, 4, 9, 9] [11, 3, 7, 9, 9, 10, 9] [10, 9, 9, 7, 3, 12, 8, 11] [7, 8, 9, 6, 7, 2, 12] [11, 3, 10, 9, 12, 8, 2] [4, 9, 8, 9, 11, 3, 10] [8, 8, 2, 12, 7, 11, 3, 9] [9, 7, 9, 11, 8, 9, 11] [9, 11, 12, 10, 9, 7, 4] [9, 4, 9, 7, 4, 11, 8] [11, 10, 8, 7, 9, 7, 8, 7] [8, 8, 12, 7, 7, 10, 7] [7, 10, 8, 12, 8, 11, 8, 9] [7, 12, 8, 9, 7, 8, 8] [7, 7, 9, 8, 9, 12, 10, 8] [7, 10, 9, 6, 8, 8, 12] [8, 9, 7, 7, 7, 9, 11] [13, 8, 7, 7, 11, 9, 7] [12, 3, 9, 7, 7, 9, 9, 9] [11, 9, 9, 9, 7, 4, 9] [9, 2, 9, 9, 9, 12, 4, 1] [7, 11, 9, 8, 9, 2, 9] [9, 12, 4, 9, 7, 9, 2, 8] [9, 11, 6, 3, 9, 8, 9] [8, 9, 9, 12, 3, 8, 7] [3, 9, 9, 8, 7, 9, 9] [9, 7, 10, 10, 9, 7, 9, 8] [9, 9, 9, 7, 10, 11, 7] [8, 12, 9, 9, 7, 7, 11, 8] [10, 8, 7, 8, 8, 9, 9] [7, 9, 9, 7, 3, 9, 12, 4] [11, 12, 3, 9, 7, 4, 9] [4, 9, 7, 9, 11, 8, 9] [8, 2, 11, 9, 9, 9, 7] [9, 7, 9, 10, 10, 7, 9, 12] [10, 9, 7, 8, 10, 9, 7] [12, 11, 9, 7, 9, 9, 9] [11, 8, 3, 9, 12, 11, 9] [3, 9, 9, 7, 10, 12, 8, 11] [7, 9, 9, 8, 3, 10, 12] [10, 12, 7, 9, 7, 9, 8] [7, 7, 7, 13, 8, 12, 3] [8, 9, 8, 9, 10, 7, 4, 11] [2, 4, 9, 8, 9, 2, 7] [11, 8, 4, 9, 9, 7, 8, 8] [9, 9, 12, 3, 11, 2, 4] [8, 9, 7, 9, 3, 9, 8, 4] [3, 8, 9, 8, 9, 4, 9] [4, 8, 8, 9, 6, 7, 7] [8, 8, 11, 9, 7, 8, 8] [9, 3, 8, 3, 12, 9, 7, 7] [4, 7, 8, 9, 3, 8, 9] [7, 7, 7, 8, 9, 9, 8, 3] [3, 13, 9, 8, 7, 7, 7] [9, 9, 7, 9, 11, 8, 7, 10] [3, 4, 8, 12, 9, 10, 8] [10, 8, 9, 9, 8, 3, 6] [3, 7, 3, 7, 6, 8, 9] [8, 10, 8, 3, 4, 8, 7, 9] [6, 7, 7, 8, 3, 3, 8] [9, 10, 7, 7, 9, 8, 3, 7] [3, 4, 9, 12, 9, 6, 7] [8, 3, 7, 9, 12, 4, 10, 7] [9, 10, 8, 8, 9, 7, 4] [7, 4, 8, 3, 9, 7, 8] [2, 13, 9, 9, 8, 4, 8] [4, 9, 8, 9, 11, 7, 7, 8] [8, 7, 8, 9, 9, 3, 7] [8, 13, 4, 8, 7, 7, 3] [9, 8, 9, 10, 8, 13, 4] [9, 7, 3, 7, 9, 8, 13, 3] [8, 8, 8, 2, 9, 8, 8] [8, 8, 7, 4, 9, 7, 9] [7, 7, 8, 8, 9, 8, 9] [10, 12, 7, 8, 7, 8, 6, 8] [6, 6, 9, 8, 8, 4, 8] [8, 11, 6, 9, 9, 10, 7, 9] [8, 9, 9, 8, 8, 6, 6] [8, 8, 9, 9, 8, 9, 11, 6] [10, 11, 9, 9, 9, 6, 9] [6, 9, 8, 8, 10, 9, 10] [8, 8, 8, 7, 10, 9, 8] [9, 11, 8, 10, 9, 8, 9, 9] [8, 9, 2, 9, 10, 8, 8] [9, 3, 9, 2, 8, 9, 8, 3] [10, 10, 9, 9, 9, 3, 9] [9, 9, 8, 8, 8, 9, 3, 7] [2, 8, 9, 4, 9, 7, 9] [7, 9, 8, 9, 11, 7, 10] [11, 3, 2, 9, 10, 9, 9] [2, 8, 4, 11, 8, 10, 9, 3] [9, 9, 9, 10, 11, 8, 10] [3, 9, 9, 9, 8, 8, 8, 7] [11, 7, 8, 9, 3, 9, 9] [10, 2, 8, 8, 4, 7, 9, 8] [2, 9, 11, 9, 8, 8, 7] [8, 7, 10, 2, 10, 7, 9] [9, 6, 2, 7, 9, 7, 10] [7, 8, 9, 11, 12, 8, 9, 9] [11, 9, 10, 9, 11, 9, 8] [9, 10, 7, 10, 9, 8, 9] [10, 7, 4, 9, 9, 10, 7] [4, 9, 9, 8, 11, 9, 6, 8] [10, 2, 9, 9, 4, 13, 9] [13, 9, 8, 7, 8, 7, 3] [9, 7, 10, 3, 3, 9, 4] [3, 3, 9, 7, 7, 10, 13, 9] [7, 13, 4, 8, 7, 8, 10] [9, 12, 13, 4, 7, 6, 10, 6] [7, 4, 7, 10, 9, 7, 13] [8, 7, 7, 7, 10, 4, 12, 13] [9, 12, 7, 2, 7, 13, 4] [13, 7, 8, 7, 9, 3, 6] [9, 7, 9, 7, 6, 7, 8] [4, 12, 7, 9, 7, 7, 7, 3] [13, 7, 9, 7, 9, 8, 7] [3, 6, 7, 9, 7, 4, 8, 5] [9, 7, 7, 2, 3, 6, 7] [7, 4, 10, 7, 9, 6, 6, 10] [9, 13, 2, 7, 7, 10, 6] [10, 6, 7, 4, 12, 8, 9] [10, 9, 9, 8, 9, 6, 7] [9, 7, 9, 12, 13, 9, 3, 3] [11, 3, 9, 9, 12, 7, 9] [3, 3, 3, 9, 8, 8, 7, 9] [12, 9, 8, 7, 3, 11, 3] [9, 9, 9, 8, 7, 9, 3, 10] [2, 3, 12, 8, 8, 10, 9] [10, 9, 9, 9, 3, 9, 6] [10, 7, 2, 4, 6, 9, 9] [9, 8, 6, 2, 8, 10, 9, 3] [12, 9, 9, 7, 2, 11, 10] [3, 7, 9, 9, 3, 9, 11] [3, 9, 7, 7, 3, 7, 9] [7, 9, 11, 10, 2, 3, 7, 7] [9, 9, 8, 10, 7, 4, 3] [4, 3, 10, 9, 8, 12, 3] [6, 10, 9, 8, 3, 3, 7] [3, 7, 7, 8, 8, 7, 9, 9] [13, 9, 3, 7, 8, 7, 7] [9, 6, 9, 3, 7, 10, 7, 8] [8, 10, 7, 7, 9, 13, 9] [7, 8, 6, 7, 7, 10, 6, 9] [12, 6, 4, 7, 7, 9, 10] [9, 8, 7, 8, 9, 8, 10] [10, 7, 12, 8, 10, 8, 7] [10, 9, 9, 12, 2, 9, 6, 7] [3, 6, 7, 8, 12, 3, 9] [7, 11, 8, 7, 9, 3, 3, 10] [9, 3, 8, 7, 7, 11, 8] [8, 3, 3, 9, 12, 7, 11, 7] [7, 3, 7, 13, 8, 7, 7] [7, 7, 9, 10, 9, 9, 9] [2, 12, 7, 8, 9, 7, 8] [7, 8, 7, 6, 7, 12, 8, 9] [8, 8, 4, 9, 6, 10, 12] [9, 3, 8, 4, 12, 7, 10, 7] [6, 7, 9, 7, 9, 6, 8] [3, 10, 9, 7, 9, 3, 9] [3, 9, 12, 7, 3, 7, 7] [7, 9, 3, 8, 7, 9, 9] [9, 9, 8, 9, 7, 7, 4, 10] [6, 4, 12, 7, 9, 8, 7] [10, 3, 9, 9, 7, 9, 6] [3, 7, 13, 8, 3, 3, 9] [13, 4, 8, 7, 9, 3, 13, 10] [9, 7, 7, 7, 13, 11, 10] [11, 10, 7, 9, 9, 9, 9] [7, 9, 9, 10, 9, 10, 13] [3, 11, 3, 4, 9, 13, 8, 9] [8, 8, 8, 2, 4, 9, 13] [9, 8, 8, 8, 8, 3, 8, 10] [4, 10, 3, 9, 9, 8, 8] [2, 4, 13, 8, 9, 8, 8, 8] [7, 8, 7, 3, 8, 8, 8] [8, 2, 2, 4, 8, 13, 3] [8, 7, 9, 8, 3, 2, 2] [10, 7, 7, 7, 3, 7, 13, 13] [8, 13, 8, 4, 7, 10, 7] [13, 3, 13, 8, 7, 8, 10, 7] [7, 7, 4, 3, 13, 3, 13] [4, 10, 13, 7, 9, 2, 3, 7] [7, 8, 6, 3, 4, 7, 2] [7, 2, 7, 10, 8, 7, 8] [9, 13, 7, 3, 8, 2, 4] [8, 9, 10, 7, 10, 6, 13, 4] [8, 13, 3, 6, 7, 7, 6] [4, 7, 13, 3, 10, 10, 7, 13] [7, 8, 10, 3, 4, 8, 13] [6, 7, 3, 10, 3, 8, 7, 13] [7, 7, 8, 9, 10, 13, 8] [13, 8, 6, 7, 4, 13, 10] [8, 7, 7, 2, 10, 8, 6] [8, 8, 2, 7, 9, 13, 3, 8] [8, 3, 3, 8, 7, 7, 13] [8, 7, 8, 3, 13, 3, 7] [4, 2, 8, 9, 8, 7, 8] [8, 3, 7, 13, 7, 8, 7, 7] [3, 8, 9, 8, 8, 7, 8] [7, 8, 13, 8, 8, 3, 4] [9, 9, 3, 7, 4, 8, 8] [7, 8, 9, 6, 12, 6, 8, 9] [7, 8, 7, 6, 6, 2, 6] [9, 9, 8, 7, 11, 7, 3, 10] [6, 7, 11, 8, 9, 7, 8] [6, 6, 4, 11, 8, 7, 9, 8] [9, 9, 10, 10, 11, 8, 7] [8, 4, 6, 6, 9, 10, 7] [8, 10, 9, 8, 7, 4, 6] [7, 9, 10, 9, 11, 3, 4, 10] [8, 4, 8, 8, 9, 6, 3] [10, 7, 4, 8, 3, 7, 6, 10] [9, 7, 8, 10, 10, 7, 4] [8, 7, 6, 3, 9, 10, 7, 3] [8, 8, 10, 2, 8, 3, 10] [3, 10, 3, 7, 9, 13, 9] [9, 9, 8, 11, 9, 10, 8] [8, 3, 10, 9, 8, 9, 10, 7] [4, 10, 8, 9, 9, 8, 9] [7, 7, 10, 8, 9, 6, 8, 8] [9, 13, 9, 11, 7, 4, 10] [9, 8, 6, 9, 2, 13, 7, 6] [8, 7, 9, 2, 9, 6, 13] [6, 13, 9, 8, 7, 8, 10] [10, 7, 8, 9, 10, 13, 9] [13, 9, 10, 9, 8, 6, 8, 7] [9, 8, 9, 11, 9, 4, 6] [7, 7, 13, 9, 10, 6, 4] [7, 8, 2, 10, 7, 7, 13] [2, 8, 4, 6, 9, 7, 7, 8] [9, 8, 2, 10, 2, 7, 7] [7, 7, 6, 13, 9, 12, 7] [4, 3, 9, 9, 7, 7, 2] [9, 9, 8, 13, 3, 7, 7, 4] [9, 7, 10, 7, 13, 8, 7] [4, 6, 7, 10, 12, 8, 9, 7] [13, 10, 12, 7, 4, 9, 7] [7, 13, 8, 12, 7, 10, 6, 7] [7, 6, 6, 9, 12, 7, 10] [7, 8, 7, 13, 7, 7, 8] [8, 3, 4, 9, 8, 8, 7] [10, 3, 3, 7, 12, 6, 8, 7] [7, 8, 8, 13, 7, 7, 6] [7, 8, 8, 8, 6, 10, 7, 2] [7, 12, 13, 9, 7, 8, 8] [13, 10, 7, 6, 4, 7, 8, 9] [10, 7, 9, 9, 13, 9, 7] [9, 7, 6, 10, 6, 2, 7] [7, 11, 10, 10, 7, 7, 13] [8, 3, 2, 3, 7, 11, 7, 9] [9, 7, 7, 11, 3, 8, 11] [9, 9, 7, 7, 3, 7, 8, 11] [3, 4, 3, 12, 9, 9, 7] [11, 10, 7, 3, 9, 4, 9, 7] [9, 9, 6, 2, 3, 7, 4] [7, 4, 11, 10, 9, 11, 7] [9, 12, 9, 10, 7, 4, 11] [4, 3, 7, 9, 8, 7, 7, 9] [6, 7, 11, 12, 9, 9, 7] [9, 12, 4, 11, 7, 7, 9] [9, 11, 9, 3, 9, 12, 4] [9, 7, 9, 7, 9, 9, 12, 8] [11, 8, 2, 9, 9, 10, 9] [10, 9, 7, 4, 3, 3, 9] [7, 9, 11, 6, 9, 9, 9] [9, 9, 8, 9, 7, 13, 7, 10] [7, 7, 7, 13, 9, 9, 13] [10, 8, 7, 7, 6, 9, 12, 10] [9, 7, 6, 8, 10, 7, 7] [13, 9, 7, 6, 8, 7, 8, 7] [6, 8, 10, 12, 6, 7, 7] [7, 7, 13, 9, 8, 10, 9] [7, 8, 3, 10, 9, 7, 13] [7, 7, 11, 6, 9, 11, 7, 3] [9, 7, 3, 3, 6, 9, 11] [3, 9, 7, 3, 11, 7, 9, 6] [8, 9, 3, 9, 3, 9, 7] [3, 7, 9, 11, 3, 3, 9, 12] [3, 9, 12, 7, 3, 12, 3] [12, 3, 11, 7, 7, 2, 8] [8, 8, 3, 2, 8, 3, 3] [3, 9, 9, 8, 8, 6, 10, 7] [7, 10, 10, 8, 8, 9, 6] [7, 7, 10, 10, 3, 13, 9, 12] [8, 8, 10, 6, 7, 7, 10] [8, 3, 11, 3, 7, 11, 7, 9] [9, 7, 7, 3, 10, 9, 11] [9, 11, 6, 3, 9, 12, 3] [9, 4, 9, 7, 3, 11, 8] [11, 10, 10, 4, 9, 13, 10, 7] [8, 10, 6, 6, 4, 7, 13] [7, 9, 11, 8, 3, 11, 7] [9, 12, 7, 3, 7, 9, 11] [7, 10, 7, 13, 4, 7, 7, 9] [8, 3, 3, 9, 7, 9, 7] [9, 7, 13, 11, 10, 11, 7] [13, 10, 8, 7, 7, 7, 7] [2, 10, 2, 3, 4, 3, 9, 9] [8, 9, 11, 8, 3, 8, 3] [9, 9, 9, 11, 7, 9, 9, 8] [3, 11, 7, 7, 9, 8, 9] [8, 3, 3, 7, 7, 11, 9, 9] [8, 9, 2, 8, 7, 9, 11] [9, 6, 8, 3, 8, 3, 9] [9, 4, 9, 7, 9, 6, 8] [11, 12, 4, 8, 7, 2, 3, 3] [9, 3, 9, 3, 8, 8, 2] [3, 9, 3, 9, 2, 11, 8, 7] [8, 7, 3, 8, 3, 9, 3] [3, 11, 3, 2, 9, 8, 9, 9] [12, 9, 8, 7, 3, 9, 8] [9, 8, 2, 11, 9, 7, 8] [7, 10, 12, 13, 8, 8, 3] [9, 4, 6, 12, 9, 2, 3, 10] [8, 3, 9, 2, 12, 7, 2] [10, 9, 3, 9, 11, 8, 7, 10] [12, 9, 11, 7, 10, 8, 3] [2, 12, 9, 11, 7, 9, 9, 3] [8, 9, 9, 7, 11, 3, 9] [3, 9, 2, 12, 10, 10, 8] [9, 7, 8, 11, 8, 9, 2] [9, 11, 8, 8, 9, 3, 9, 9] [9, 9, 2, 7, 8, 8, 3] [9, 7, 9, 2, 3, 9, 8] [10, 8, 7, 4, 9, 7, 9] [7, 9, 8, 3, 8, 9, 7, 7] [2, 9, 7, 9, 7, 4, 9] [4, 9, 3, 9, 11, 13, 10] [8, 8, 2, 9, 10, 9, 7] [9, 7, 6, 8, 10, 8, 8, 12] [8, 8, 8, 8, 8, 9, 8] [12, 9, 8, 8, 10, 9, 9, 11] [8, 8, 10, 7, 12, 8, 8] [8, 8, 10, 10, 7, 8, 9, 8] [9, 9, 11, 7, 10, 8, 8] [8, 10, 8, 8, 9, 11, 9] [7, 6, 12, 13, 9, 10, 8] [8, 9, 8, 9, 3, 2, 10, 11] [9, 10, 4, 11, 9, 2, 2] [11, 8, 10, 4, 2, 8, 2, 7] [9, 9, 11, 7, 11, 8, 10] [11, 8, 2, 2, 12, 11, 8, 9] [4, 9, 7, 9, 11, 9, 11] [9, 11, 2, 8, 9, 3, 9] [9, 7, 4, 3, 9, 11, 11] [4, 8, 9, 9, 7, 9, 11, 8] [10, 11, 11, 9, 9, 9, 9] [8, 8, 11, 11, 12, 8, 9, 9] [9, 3, 12, 10, 8, 10, 11] [9, 4, 2, 12, 9, 10, 8, 2] [9, 8, 9, 11, 12, 2, 10] [2, 10, 9, 4, 9, 9, 11] [7, 8, 9, 8, 11, 10, 9] [10, 12, 11, 9, 7, 8, 11, 8] [9, 11, 9, 10, 9, 10, 8] [8, 9, 10, 9, 11, 2, 10] [9, 9, 9, 11, 8, 9, 10] [9, 11, 10, 8, 9, 8, 8, 9] [9, 4, 11, 7, 9, 7, 8] [7, 8, 8, 10, 12, 10, 8] [3, 13, 9, 7, 8, 8, 9] [7, 7, 7, 10, 9, 9, 7, 3] [8, 7, 9, 9, 10, 7, 9] [3, 7, 7, 9, 10, 7, 4, 12] [10, 9, 10, 8, 3, 8, 7] [9, 10, 9, 10, 8, 9, 7, 7] [2, 7, 13, 4, 10, 7, 9] [7, 9, 9, 10, 2, 12, 7] [7, 13, 3, 6, 7, 9, 9] [9, 7, 13, 2, 10, 13, 9, 12] [7, 9, 7, 10, 2, 9, 13] [12, 7, 9, 7, 13, 9, 9, 13] [2, 3, 10, 4, 12, 7, 9] [10, 9, 9, 13, 3, 12, 7, 4] [7, 7, 4, 6, 10, 4, 12] [4, 12, 13, 9, 7, 6, 2] [8, 10, 7, 8, 2, 12, 10] [7, 13, 11, 7, 7, 10, 12, 7] [9, 12, 2, 10, 7, 9, 10] [7, 8, 12, 2, 8, 9, 9, 3] [7, 3, 8, 10, 7, 9, 12] [10, 7, 2, 8, 6, 3, 8, 9] [8, 8, 7, 6, 8, 9, 3] [9, 3, 10, 7, 7, 3, 12] [4, 10, 8, 9, 12, 3, 10] [3, 8, 12, 8, 7, 9, 2, 8] [7, 2, 10, 10, 8, 9, 9] [8, 3, 3, 10, 12, 2, 9] [7, 3, 6, 13, 8, 3, 3] [6, 2, 9, 9, 8, 8, 10, 9] [10, 7, 6, 4, 6, 9, 8] [9, 8, 9, 3, 8, 7, 7] [8, 4, 10, 2, 7, 8, 6] [8, 8, 13, 7, 4, 10, 8, 7] [7, 8, 12, 10, 7, 6, 10] [7, 7, 8, 12, 13, 4, 3, 6] [7, 9, 13, 13, 7, 7, 8] [10, 7, 12, 13, 13, 9, 7, 8] [7, 7, 9, 3, 13, 8, 9] [8, 9, 10, 7, 7, 6, 4] [8, 9, 7, 6, 4, 9, 10] [9, 2, 3, 7, 8, 3, 12, 9] [8, 12, 13, 2, 7, 7, 3] [9, 9, 9, 13, 3, 12, 7] [7, 7, 2, 8, 9, 9, 9] [2, 12, 7, 3, 7, 9, 9, 3] [13, 8, 3, 7, 2, 10, 9] [10, 9, 3, 9, 2, 11, 7] [8, 7, 13, 8, 7, 9, 2] [13, 7, 8, 7, 13, 7, 6, 8] [9, 6, 9, 7, 7, 4, 7] [8, 12, 6, 9, 7, 10, 4, 3] [7, 9, 7, 13, 8, 12, 6] [7, 13, 3, 7, 7, 3, 12, 7] [7, 9, 2, 13, 7, 7, 3] [7, 3, 7, 13, 8, 3, 9] [8, 3, 7, 4, 9, 3, 7] [3, 7, 6, 10, 8, 10, 9, 9] [7, 9, 7, 13, 10, 9, 10] [9, 7, 3, 7, 9, 3, 12] [8, 10, 7, 2, 12, 7, 3] [7, 9, 9, 10, 10, 12, 7, 4] [7, 13, 13, 8, 7, 9, 9] [9, 9, 10, 3, 7, 3, 8] [10, 11, 7, 9, 8, 9, 7] [3, 8, 8, 7] [10, 7, 8, 10] [10, 8, 7, 9] [8, 7, 10, 7] [7, 4, 3] [8, 7, 4, 10] [13, 3, 8, 8] [7, 8, 2, 7] [2, 10, 7, 8] [13, 13, 3, 7] [7, 10, 13, 3] [7, 7, 3, 9] [13, 8, 8, 8] [13, 3, 2, 2] [4, 13, 2, 8] [2, 7, 9, 7] [4, 13, 8, 8] [10, 7, 13, 8] [8, 7, 7, 12] [8, 7, 7, 13] [7, 8, 8, 9] [6, 3, 9, 8] [7, 8, 8, 7] [8, 3, 7, 2] [2, 7, 3, 7] [2, 7, 7, 13] [8, 13, 3, 3] [7, 7, 2, 12] [7, 7, 8, 2] [10, 9, 2] [13, 8, 8, 10] [7, 10, 9, 9] [10, 3, 13, 7] [8, 9, 7, 10] [3, 6, 9] [7, 2, 6, 10] [4, 7, 9, 3] [10, 7, 4, 13] [6, 7, 13, 7] [3, 7, 9, 2] [10, 4, 7, 7] [10, 6, 4, 7] [7, 2, 7, 7] [13, 6, 3, 3] [4, 8, 7, 2] [12, 9, 13] [6, 9, 8, 7] [9, 7, 10, 4] [8, 6, 4, 8] [6, 9, 3, 7] [7, 10, 4, 13] [10, 8, 10, 4] [13, 7, 7, 2] [10, 7, 13, 7] [7, 4, 13, 7] [7, 6, 8] [9, 6, 7, 4] [10, 4, 8, 7] [8, 7, 7, 10] [12, 4, 8] [8, 10, 8, 9] [8, 7, 8, 2] [3, 7, 7, 13] [4, 8, 9, 3] [4, 7, 12, 10] [10, 3, 6, 11] [7, 9, 2, 9] [7, 3, 10, 3] [9, 13, 8] [9, 8, 13, 7] [7, 6, 9, 3] [8, 8, 6, 9] [3, 9, 8, 2] [7, 10, 2, 9] [9, 9, 3, 8] [7, 8, 8, 12] [12, 8, 8, 9] [2, 7, 9, 9] [8, 7, 12, 8] [3, 7, 2] [7, 12, 10, 2] [3, 10, 11] [11, 8, 7, 8] [7, 8, 3, 12] [2, 8, 7, 9] [4, 12, 9, 9] [11, 8, 9, 9] [10, 3, 2] [9, 8, 10, 11] [7, 9, 10, 12] [12, 9, 4, 9] [10, 9, 3, 8] [7, 9, 7, 12] [8, 6, 2] [11, 10, 12, 2] [4, 8, 11, 10] [8, 2, 7, 3] [8, 12, 11, 9] [9, 12, 9, 4] [11, 8, 9, 8] [8, 12, 7, 7] [7, 8, 12, 8] [7, 9, 8, 12] [10, 6, 8] [8, 7, 7, 11] [13, 7, 11, 7] [12, 9, 7, 9] [11, 9, 7, 9] [9, 9, 9, 4] [2, 9, 12, 1] [9, 4, 7, 2] [9, 6, 9, 9] [11, 3, 8] [9, 10, 9, 9] [9, 9, 10, 7] [9, 7, 11] [8, 9, 7, 11] [12, 9, 7, 8] [7, 9, 3, 12] [4, 7, 11, 9] [9, 9, 10, 9] [7, 10, 7, 12] [10, 7, 10, 7] [12, 9, 9, 9] [11, 3, 12, 9] [3, 9, 10, 8] [7, 13, 12] [8, 8, 10, 4] [9, 9, 7, 11] [2, 9, 9, 7] [4, 8, 2] [11, 4, 9, 8] [9, 12, 11, 4] [9, 3, 2] [4, 8, 6, 7] [8, 11, 7, 8] [9, 8, 12, 7] [4, 8, 3, 9] [7, 8, 9, 3] [4, 12, 10] [10, 9, 8, 6] [3, 3, 6, 9] [8, 8, 4, 7] [10, 3, 8, 9] [6, 7, 3, 8] [10, 7, 8, 7] [4, 12, 6] [8, 7, 12, 10] [3, 9, 4, 7] [9, 8, 9, 4] [4, 8, 11, 7] [9, 9, 7, 8] [8, 4, 7, 3] [9, 9, 8, 4] [8, 10, 13] [9, 3, 9, 13] [8, 8, 9, 8] [8, 2, 8] [7, 8, 9, 9] [10, 7, 7, 6] [12, 8, 8, 8] [6, 8, 4] [8, 6, 9, 7] [8, 9, 8, 6] [8, 9, 8, 11] [8, 9, 9, 6] [11, 9, 6] [6, 8, 10, 10] [8, 8, 10, 8] [9, 8, 9, 9] [11, 10, 8, 9] [8, 2, 10, 8] [3, 2, 9, 3] [9, 8, 8, 3] [9, 8, 9, 7] [2, 9, 9, 9] [7, 8, 11, 10] [11, 2, 10, 9] [2, 4, 8, 9] [8, 11, 10, 3] [9, 9, 11, 10] [3, 9, 8, 8] [2, 11, 8, 7] [8, 10, 10, 9] [7, 9, 12, 9] [8, 11, 8, 9] [11, 10, 11, 8] [9, 7, 9, 9] [10, 10, 8] [10, 4, 9, 7] [4, 9, 11, 6] [9, 8, 9, 8] [10, 9, 4, 9] [2, 9, 13] [13, 8, 8, 3] [9, 10, 3, 4] [3, 9, 7, 13] [12, 4, 6, 6] [8, 7, 10, 12] [7, 7, 4, 13] [9, 7, 7, 4] [12, 2, 13] [13, 8, 9, 6] [9, 9, 6, 8] [4, 7, 7, 7] [12, 9, 7, 3] [6, 9, 4, 5] [4, 7, 6, 10] [9, 2, 7, 6] [13, 7, 10] [10, 7, 12, 9] [6, 4, 8] [9, 9, 13, 3] [7, 12, 9, 3] [3, 3, 8, 7] [3, 9, 8, 9] [12, 8, 3, 3] [10, 9, 3, 6] [10, 2, 6, 9] [9, 6, 8, 9] [8, 2, 10, 3] [12, 9, 2, 10] [3, 9, 3, 11] [3, 7, 3, 9] [7, 11, 2, 7] [9, 8, 7, 3] [4, 10, 8, 3] [10, 8, 3] [7, 8, 7, 9] [13, 3, 8, 7] [6, 3, 10, 8] [7, 6, 7, 6] [8, 7, 10, 9] [12, 4, 7, 10] [10, 12, 10, 7] [9, 12, 9, 7] [3, 7, 12, 9] [11, 7, 3, 10] [3, 7, 11] [8, 3, 12, 11] [7, 7, 8, 7] [12, 8, 7] [8, 6, 12, 9] [8, 4, 6, 12] [9, 8, 12, 10] [3, 4, 7, 7] [6, 9, 9, 8] [3, 12, 3, 7] [7, 3, 7, 9] [6, 12, 9, 7] [10, 9, 7, 6] [3, 13, 3, 9] [13, 8, 9, 13] [9, 7, 13, 10] [3, 3, 9, 8] [11, 4, 13, 9] [8, 8, 4, 13] [8, 8, 3, 10] [4, 3, 9, 8] [2, 13, 9, 8] [8, 9, 3, 2] [10, 7, 3, 13] [8, 8, 7, 7] [13, 4, 10] [13, 13, 7, 10] [7, 4, 13, 13] [4, 13, 9, 3] [10, 7, 2, 7] [7, 6, 4, 2] [8, 10, 10, 13] [9, 7, 6, 4] [8, 3, 7, 6] [13, 6, 7] [4, 13, 10, 7] [7, 3, 10, 13] [6, 3, 3, 7] [7, 10, 8, 13] [7, 8, 10, 8] [13, 6, 4, 10] [8, 2, 9, 3] [3, 13, 8, 7] [7, 13, 8, 4] [9, 3, 4, 8] [8, 6, 6, 9] [7, 7, 6, 6] [9, 8, 11, 3] [9, 7, 7, 10] [6, 11, 9, 8] [6, 11, 7, 8] [4, 6, 10] [7, 10, 11, 4] [8, 8, 9, 3] [10, 4, 3, 6] [7, 8, 7, 10] [8, 10, 8, 10] [8, 2, 3] [3, 3, 9, 9] [7, 8, 6, 8] [13, 11, 4] [8, 9, 13, 6] [8, 9, 9, 13] [6, 9, 7, 10] [10, 8, 10, 9] [13, 10, 8, 8] [9, 9, 6, 7] [9, 9, 9, 6] [8, 11, 4] [7, 13, 10, 4] [7, 9, 6] [7, 2, 7, 13] [2, 4, 9, 7] [8, 6, 7, 8] [9, 2, 2, 7] [7, 6, 9, 7] [4, 9, 7, 2] [9, 8, 3, 7] [9, 13, 7, 4] [9, 10, 13, 7] [4, 7, 12, 9] [6, 10, 8, 7] [13, 12, 4, 7] [13, 12, 10, 7] [7, 6, 12, 10] [10, 3, 12, 8] [3, 7, 6, 7] [13, 7, 4, 8] [10, 6, 7, 9] [10, 9, 13, 7] [9, 6, 6, 7] [8, 2, 7, 7] [3, 3, 11, 9] [9, 7, 3, 11] [9, 7, 3, 8] [10, 3, 4, 7] [9, 6, 3, 4] [7, 11, 9, 7] [4, 10, 11] [12, 10, 4] [4, 7, 8, 7] [6, 11, 9, 7] [9, 4, 7, 9] [12, 11, 7] [9, 9, 9, 12] [11, 2, 9, 9] [7, 11, 9, 9] [9, 9, 13, 10] [10, 7, 6, 12] [8, 7, 9, 10] [9, 6, 10, 7] [13, 7, 8, 8] [9, 6, 7, 7] [6, 10, 6, 7] [7, 13, 8, 9] [7, 3, 9, 13] [7, 6, 11, 3] [9, 3, 6, 11] [9, 3, 7, 6] [7, 11, 3, 12] [3, 12, 3, 3] [8, 3, 8, 3] [3, 9, 8, 10] [9, 8, 6, 7] [7, 10, 8, 6] [7, 10, 3, 9] [7, 10, 13, 12] [8, 10, 7, 10] [8, 11, 7, 7] [9, 7, 10, 11] [11, 10, 9, 10] [7, 11, 3, 7] [7, 7, 4, 7] [7, 11, 11] [2, 2, 4, 9] [10, 3, 3, 9] [8, 11, 3, 3] [9, 11, 9, 8] [8, 2, 7, 11] [9, 8, 8, 9] [11, 4, 7, 3] [9, 9, 8, 2] [3, 3, 2, 8] [8, 3, 3, 3] [11, 2, 8, 9] [7, 12, 8, 3] [4, 12, 2, 10] [8, 9, 12, 2] [3, 2, 7] [10, 3, 11, 7] [12, 11, 9, 3] [8, 9, 11, 9] [3, 2, 10, 8] [9, 8, 8, 2] [9, 2, 8, 3] [2, 7, 7, 9] [4, 3, 11, 10] [8, 2, 10, 7] [9, 6, 10, 8] [12, 8, 10, 9] [7, 12, 9, 8] [9, 9, 2, 11] [9, 4, 9, 2] [10, 11, 2] [11, 10, 2, 2] [9, 11, 11, 10] [11, 2, 12, 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Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "", line 38, in InferAutomaticity ValueError: [3, 8, 2, 4, 3, 9, 7, 13, 11, 10, 3, 7, 9, 9, 8, 2, 6, 7, 9, 8, 2, 9, 7, 8, 8, 8, 3, 9, 4, 7, 13, 7, 7, 3, 7, 9, 10, 12, 9, 9, 4, 9, 7, 4, 9, 10, 9, 10, 8, 7, 13, 10, 4, 7, 11, 11, 9, 8, 10, 9, 3, 9, 3, 8, 8, 8, 8, 7, 8, 4, 8, 9, 7, 9, 8, 7, 9, 7, 3, 8, 9, 8, 9, 8, 9, 10, 4, 8, 7, 9, 7, 7, 8, 9, 13, 2, 4, 6, 8, 6, 8, 9, 2, 7, 13, 11, 9, 13, 3, 8, 7, 8, 3, 2, 7, 8, 11, 9, 9, 9, 10, 10, 6, 10, 2, 7, 7, 10, 7, 7, 13, 8, 7, 2, 9, 7, 10, 7, 9, 13, 7, 8, 3, 10, 3, 12, 11, 4, 12, 11, 9, 7, 8, 9, 8, 8, 4, 12, 10, 11, 4, 7, 10, 9, 7, 8, 8, 8, 6, 9, 7, 3, 8, 9, 13, 9, 13, 3, 10, 3, 10, 3, 4, 9, 9, 7, 7, 9, 3, 10, 11, 9, 8, 13, 7, 4, 13, 8, 7, 9, 8, 10, 3, 7, 6, 7, 7, 4, 7, 7, 9, 9, 7, 9, 10, 10, 7, 3, 12, 7, 9, 7, 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12, 12, 13, 9, 10, 3, 7, 13, 3, 3, 13, 8, 6, 9, 7, 3, 7, 10, 3, 7, 9, 13, 13, 1, 6, 11, 5, 6, 9, 9] is not in list
[2, 10, 13, 8, 12, 9, 8, 7, 7, 3, 3, 13, 3, 9, 7, 8, 7, 2, 2, 7, 9, 11, 10, 9, 9, 7, 9, 2, 3] [13, 8, 9, 7, 7, 12, 6, 9, 8, 6, 9, 7, 7, 9, 7, 13, 13, 7, 7, 8, 7, 10, 4, 12, 6, 4, 7, 6, 8, 3] [7, 7, 7, 8, 13, 3, 9, 3, 3, 7, 2, 7, 7, 13, 13, 4, 7, 8, 7, 9, 3, 3, 7, 3, 12, 9, 3, 7, 7] [3, 9, 7, 8, 7, 7, 9, 10, 6, 3, 7, 7, 10, 7, 13, 2, 8, 9, 10, 12, 10, 3, 9, 7, 9, 12, 10, 3, 9] [7, 9, 7, 10, 9, 9, 13, 11, 9, 10, 13, 7, 10, 3, 8, 9, 10, 7, 7, 8, 12, 3, 9, 9, 7, 8, 9, 7, 4] [9, 3, 9, 7, 9, 8, 8, 8, 11, 8, 7, 7, 7, 7, 10] [10, 8, 10, 7, 7, 7, 8, 4, 8, 10, 7, 3, 10, 7, 9] [8, 13, 8, 10, 7, 3, 8, 7, 4, 8, 8, 7, 10, 8, 7] [7, 2, 9, 9, 8, 10, 8, 8, 2, 7, 7, 9, 7, 8] [7, 7, 13, 7, 9, 10, 13, 8, 7, 13, 3, 9, 7, 3, 7] [7, 13, 7, 8, 7, 8, 10, 7, 3, 7, 8, 7, 9, 7, 12] [8, 13, 7, 7, 7, 8, 3, 7, 10, 8, 8, 13, 7, 8, 13] [13, 4, 8, 7, 3, 13, 7, 9, 2, 2, 12, 8, 2, 8] [2, 10, 4, 7, 7, 7, 13, 8, 9, 13, 8, 12, 7, 8, 8] [8, 13, 13, 7, 7, 7, 7, 7, 7, 8, 9, 10, 12, 7, 7] [8, 3, 13, 13, 7, 10, 7, 7, 7, 7, 7, 7, 13, 7, 7] [7, 6, 7, 8, 8, 3, 13, 8, 8, 9, 7, 7, 9, 8] [7, 2, 8, 7, 8, 7, 3, 8, 8, 3, 7, 13, 7, 7, 2] [2, 8, 3, 9, 7, 8, 7, 4, 7, 2, 7, 3, 13, 7] [8, 7, 7, 2, 13, 7, 7, 3, 3, 8, 2, 9, 3, 2, 12] [9, 8, 2, 10, 7, 7, 7, 9, 8, 8, 9, 2, 8, 8] [13, 9, 9, 10, 8, 3, 8, 7, 8, 8, 7, 9, 10, 7, 7] [7, 8, 10, 3, 10, 9, 3, 6, 9, 7, 13, 9, 9, 10, 7] [7, 4, 8, 10, 2, 7, 9, 9, 6, 9, 3, 10, 10, 3, 10] [10, 6, 2, 7, 7, 7, 8, 8, 4, 13, 7, 2, 13, 7] [3, 10, 10, 2, 7, 6, 4, 8, 9, 4, 7, 7, 2, 7, 7] [7, 4, 13, 12, 2, 8, 6, 9, 7, 7, 3, 13, 7, 2, 3] [8, 6, 3, 10, 7, 9, 7, 8, 7, 8, 7, 9, 13, 7, 9] [9, 8, 7, 4, 7, 6, 3, 9, 10, 4, 7, 7, 4, 8] [6, 10, 7, 7, 9, 8, 10, 4, 3, 10, 4, 2, 7, 4, 13] [13, 10, 8, 7, 7, 7, 8, 9, 7, 13, 7, 10, 2, 7, 8] [4, 6, 6, 8, 8, 10, 7, 8, 8, 7, 7, 7, 8, 7, 7] [7, 9, 7, 9, 4, 6, 6, 10, 13, 7, 8, 7, 7, 4] [7, 10, 7, 8, 7, 4, 8, 9, 9, 8, 7, 10, 8, 7, 8] [8, 13, 12, 8, 7, 8, 4, 7, 7, 8, 8, 12, 10, 7] [8, 4, 8, 6, 10, 8, 7, 9, 8, 8, 8, 3, 9, 8, 2] [3, 2, 8, 9, 7, 4, 7, 4, 7, 13, 3, 8, 13, 8] [4, 8, 4, 3, 8, 9, 7, 9, 9, 7, 12, 6, 3, 12, 10] [10, 7, 7, 9, 3, 3, 9, 13, 6, 10, 2, 8, 11, 3, 9] [9, 8, 7, 7, 8, 8, 6, 7, 13, 6, 9, 3, 7, 9, 3] [3, 7, 8, 9, 9, 10, 7, 8, 8, 2, 12, 8, 2, 9] [9, 3, 7, 8, 9, 7, 8, 7, 3, 8, 8, 9, 8, 8, 12] [12, 8, 2, 3, 8, 7, 7, 7, 8, 12, 9, 2, 9, 8, 9] [7, 7, 9, 3, 12, 7, 8, 10, 10, 7, 9, 11, 2, 9, 11] [11, 13, 9, 9, 8, 7, 9, 7, 7, 8, 9, 9, 8, 7] [7, 2, 9, 12, 8, 8, 7, 9, 3, 7, 9, 9, 12, 9, 4] [4, 7, 11, 10, 12, 9, 8, 3, 9, 4, 9, 2, 9, 12, 9] [9, 7, 7, 11, 8, 7, 9, 9, 10, 9, 10, 12, 11, 10, 12] [12, 11, 10, 3, 9, 7, 7, 9, 4, 9, 9, 10, 9, 9] [10, 7, 9, 8, 9, 9, 7, 6, 3, 7, 12, 2, 8, 12, 11] [11, 4, 3, 9, 10, 8, 9, 9, 12, 11, 8, 3, 2, 10] [8, 9, 8, 7, 2, 9, 12, 11, 7, 8, 11, 9, 3, 11, 9] [9, 9, 11, 4, 12, 9, 10, 7, 9, 4, 7, 11, 4, 8] [11, 8, 10, 8, 8, 12, 7, 7, 9, 7, 7, 10, 8, 7, 7] [7, 7, 10, 12, 8, 8, 12, 9, 8, 7, 11, 8, 8, 8, 9] [7, 7, 7, 10, 9, 9, 8, 6, 9, 8, 12, 8, 10, 12, 8] [8, 13, 9, 8, 7, 7, 7, 7, 7, 11, 9, 9, 11, 7] [12, 11, 3, 9, 9, 9, 7, 9, 7, 7, 9, 4, 9, 9, 9] [9, 7, 2, 11, 9, 9, 9, 8, 9, 9, 12, 2, 4, 9, 1] [9, 9, 12, 11, 4, 6, 9, 3, 7, 9, 9, 8, 2, 9, 8] [8, 3, 9, 9, 9, 9, 12, 8, 3, 7, 8, 9, 7, 9] [9, 9, 7, 9, 10, 9, 10, 7, 9, 10, 7, 11, 9, 7, 8] [8, 10, 12, 8, 9, 7, 9, 8, 7, 8, 7, 9, 11, 9, 8] [7, 11, 9, 12, 9, 3, 7, 9, 3, 7, 9, 4, 12, 9, 4] [4, 8, 9, 2, 7, 11, 9, 9, 11, 9, 8, 9, 9, 7] [9, 10, 7, 9, 9, 7, 10, 8, 10, 10, 7, 9, 9, 7, 12] [12, 11, 11, 8, 9, 3, 7, 9, 9, 12, 9, 11, 9, 9] [3, 7, 9, 9, 9, 9, 7, 8, 10, 3, 12, 10, 8, 12, 11] [10, 7, 12, 7, 7, 7, 9, 13, 7, 8, 9, 12, 8, 3] [8, 2, 9, 4, 8, 9, 9, 8, 10, 9, 7, 2, 4, 7, 11] [11, 9, 8, 9, 4, 12, 9, 3, 9, 11, 7, 2, 8, 4, 8] [8, 3, 9, 8, 7, 9, 9, 8, 3, 9, 9, 4, 8, 9, 4] [4, 8, 8, 8, 8, 11, 9, 9, 6, 7, 7, 8, 7, 8] [9, 4, 3, 7, 8, 8, 3, 9, 12, 3, 9, 8, 7, 9, 7] [7, 3, 7, 13, 7, 9, 8, 8, 9, 7, 9, 7, 8, 7, 3] [9, 3, 9, 4, 7, 8, 9, 12, 11, 9, 8, 10, 7, 8, 10] [10, 3, 8, 7, 9, 3, 9, 7, 8, 6, 3, 8, 6, 9] [8, 6, 10, 7, 8, 7, 3, 8, 4, 3, 8, 3, 7, 8, 9] [9, 3, 10, 4, 7, 9, 7, 12, 9, 9, 8, 6, 3, 7, 7] [8, 9, 3, 10, 7, 8, 9, 8, 12, 9, 4, 7, 10, 4, 7] [7, 2, 4, 13, 8, 9, 3, 9, 9, 8, 7, 4, 8, 8] [4, 8, 9, 7, 8, 8, 9, 9, 11, 9, 7, 3, 7, 7, 8] [8, 9, 13, 8, 4, 9, 8, 10, 7, 8, 7, 13, 3, 4] [9, 8, 7, 8, 3, 8, 7, 2, 9, 9, 8, 8, 13, 8, 3] [8, 7, 8, 7, 7, 8, 4, 8, 9, 9, 7, 8, 9, 9] [10, 6, 12, 6, 7, 9, 8, 8, 7, 8, 8, 4, 6, 8, 8] [8, 8, 11, 9, 6, 9, 9, 8, 9, 8, 10, 6, 7, 6, 9] [8, 10, 8, 11, 9, 9, 9, 9, 8, 9, 9, 6, 11, 9, 6] [6, 8, 9, 8, 8, 8, 8, 7, 10, 10, 9, 9, 10, 8] [9, 8, 11, 9, 8, 2, 10, 9, 9, 10, 8, 8, 9, 8, 9] [9, 10, 3, 10, 9, 9, 2, 9, 8, 9, 9, 3, 8, 9, 3] [9, 2, 9, 8, 8, 9, 8, 4, 8, 9, 9, 7, 3, 9, 7] [7, 11, 9, 3, 8, 2, 9, 9, 11, 10, 7, 9, 10, 9] [2, 9, 8, 9, 4, 9, 11, 10, 8, 11, 10, 8, 9, 10, 3] [3, 11, 9, 7, 9, 8, 9, 9, 8, 3, 8, 9, 8, 9, 7] [10, 2, 2, 9, 8, 11, 8, 9, 4, 8, 7, 8, 9, 7, 8] [8, 9, 7, 6, 10, 2, 2, 7, 10, 9, 7, 7, 9, 10] [7, 11, 8, 9, 9, 10, 11, 9, 12, 11, 8, 9, 9, 8, 9] [9, 10, 10, 7, 7, 4, 10, 9, 9, 9, 8, 10, 9, 7] [4, 10, 9, 2, 9, 9, 8, 9, 11, 4, 9, 13, 6, 9, 8] [13, 9, 9, 7, 8, 10, 7, 3, 8, 3, 7, 9, 3, 4] [3, 7, 3, 13, 9, 4, 7, 8, 7, 7, 10, 8, 13, 10, 9] [9, 7, 12, 4, 13, 7, 4, 10, 7, 9, 6, 7, 10, 13, 6] [8, 9, 7, 12, 7, 7, 7, 2, 10, 7, 4, 13, 12, 4, 13] [13, 9, 7, 7, 8, 9, 7, 7, 9, 6, 3, 7, 6, 8] [4, 13, 12, 7, 7, 9, 9, 7, 7, 9, 7, 8, 7, 7, 3] [3, 9, 6, 7, 7, 7, 9, 2, 7, 3, 4, 6, 8, 7, 5] [7, 9, 4, 13, 10, 2, 7, 7, 9, 7, 6, 10, 6, 6, 10] [10, 10, 6, 9, 7, 9, 4, 8, 12, 9, 8, 6, 9, 7] [9, 11, 7, 3, 9, 9, 12, 9, 13, 12, 9, 7, 3, 9, 3] [3, 12, 3, 9, 3, 8, 9, 7, 8, 3, 8, 11, 7, 3, 9] [9, 2, 9, 3, 9, 12, 8, 8, 7, 8, 9, 10, 3, 9, 10] [10, 10, 9, 7, 9, 2, 9, 4, 3, 6, 9, 9, 6, 9] [9, 12, 8, 9, 6, 9, 2, 7, 8, 2, 10, 11, 9, 10, 3] [3, 3, 7, 9, 9, 7, 9, 7, 3, 3, 9, 7, 11, 9] [7, 9, 9, 9, 11, 8, 10, 10, 2, 7, 3, 4, 7, 3, 7] [4, 6, 3, 10, 10, 9, 9, 8, 8, 3, 12, 3, 3, 7] [3, 13, 7, 9, 7, 3, 8, 7, 8, 8, 7, 7, 9, 7, 9] [9, 8, 6, 10, 9, 7, 3, 7, 7, 9, 10, 13, 7, 9, 8] [7, 12, 8, 6, 6, 4, 7, 7, 7, 7, 10, 9, 6, 10, 9] [9, 10, 8, 7, 7, 12, 8, 8, 9, 10, 8, 8, 10, 7] [10, 3, 9, 6, 9, 7, 12, 8, 2, 12, 9, 3, 6, 9, 7] [7, 9, 11, 3, 8, 8, 7, 7, 9, 7, 3, 11, 3, 8, 10] [8, 7, 3, 3, 3, 7, 9, 13, 12, 8, 7, 7, 11, 7, 7] [7, 2, 7, 12, 9, 7, 10, 8, 9, 9, 9, 7, 9, 8] [7, 8, 8, 8, 7, 4, 6, 9, 7, 6, 12, 10, 8, 12, 9] [9, 6, 3, 7, 8, 9, 4, 7, 12, 9, 7, 6, 10, 8, 7] [9, 3, 7, 10, 9, 9, 12, 7, 13, 9, 9, 3, 3, 9, 3] [3, 7, 9, 9, 12, 3, 7, 8, 3, 7, 7, 9, 7, 9] [9, 6, 9, 4, 8, 12, 9, 7, 7, 9, 7, 8, 4, 7, 10] [10, 3, 3, 7, 9, 13, 9, 8, 7, 3, 9, 3, 6, 9] [13, 9, 4, 7, 8, 7, 7, 7, 9, 13, 3, 11, 13, 10, 10] [11, 7, 10, 9, 7, 9, 9, 10, 9, 9, 9, 10, 9, 13] [3, 8, 11, 8, 3, 8, 4, 2, 9, 4, 13, 9, 8, 13, 9] [9, 4, 8, 10, 8, 3, 8, 9, 8, 9, 3, 8, 8, 8, 10] [2, 7, 4, 8, 13, 7, 8, 3, 9, 8, 8, 8, 8, 8, 8] [8, 8, 2, 7, 2, 9, 4, 8, 8, 3, 13, 2, 3, 2] [10, 8, 7, 13, 7, 8, 7, 4, 3, 7, 7, 10, 13, 7, 13] [13, 7, 3, 7, 13, 4, 8, 3, 7, 13, 8, 3, 10, 13, 7] [4, 7, 10, 8, 13, 6, 7, 3, 9, 4, 2, 7, 3, 2, 7] [7, 9, 2, 13, 7, 7, 10, 3, 8, 8, 7, 2, 8, 4] [8, 8, 9, 13, 10, 3, 7, 6, 10, 7, 6, 7, 13, 6, 4] [4, 7, 7, 8, 13, 10, 3, 3, 10, 4, 10, 8, 7, 13, 13] [6, 7, 7, 7, 3, 8, 10, 9, 3, 10, 8, 13, 7, 8, 13] [13, 8, 8, 7, 6, 7, 7, 2, 4, 10, 13, 8, 10, 6] [8, 8, 8, 3, 2, 3, 7, 8, 9, 7, 13, 7, 3, 13, 8] [8, 4, 7, 2, 8, 8, 3, 9, 13, 8, 3, 7, 7, 8] [8, 3, 3, 8, 7, 9, 13, 8, 7, 8, 8, 7, 7, 8, 7] [7, 9, 8, 9, 13, 3, 8, 7, 8, 4, 3, 8, 4, 8] [7, 7, 8, 8, 9, 7, 6, 6, 12, 6, 6, 2, 8, 6, 9] [9, 6, 9, 7, 8, 11, 7, 8, 11, 9, 7, 7, 3, 8, 10] [6, 9, 6, 9, 4, 10, 11, 10, 8, 11, 7, 8, 9, 7, 8] [8, 8, 4, 10, 6, 9, 6, 8, 9, 7, 10, 4, 7, 6] [7, 8, 9, 4, 10, 8, 9, 8, 11, 9, 3, 6, 4, 3, 10] [10, 9, 7, 7, 4, 8, 8, 10, 3, 10, 7, 7, 6, 4, 10] [8, 8, 7, 8, 6, 10, 3, 2, 9, 8, 10, 3, 7, 10, 3] [3, 9, 10, 9, 3, 8, 7, 11, 9, 9, 13, 10, 9, 8] [8, 4, 3, 10, 10, 8, 9, 9, 8, 9, 9, 8, 10, 9, 7] [7, 9, 7, 13, 10, 9, 8, 11, 9, 7, 6, 4, 8, 10, 8] [9, 8, 8, 7, 6, 9, 9, 2, 2, 9, 13, 6, 7, 13, 6] [6, 10, 13, 7, 9, 8, 8, 9, 7, 10, 8, 13, 10, 9] [13, 9, 9, 8, 10, 9, 9, 11, 8, 9, 6, 4, 8, 6, 7] [7, 7, 7, 8, 13, 2, 9, 10, 10, 7, 6, 7, 4, 13] [2, 9, 8, 8, 4, 2, 6, 10, 9, 2, 7, 7, 7, 7, 8] [7, 4, 7, 3, 6, 9, 13, 9, 9, 7, 12, 7, 7, 2] [9, 9, 9, 7, 8, 10, 13, 7, 3, 13, 7, 8, 7, 7, 4] [4, 13, 6, 10, 7, 12, 10, 7, 12, 4, 8, 9, 9, 7, 7] [7, 7, 13, 6, 8, 6, 12, 9, 7, 12, 10, 7, 6, 10, 7] [7, 8, 8, 3, 7, 4, 13, 9, 7, 8, 7, 8, 8, 7] [10, 7, 3, 8, 3, 8, 7, 13, 12, 7, 6, 7, 8, 6, 7] [7, 7, 8, 12, 8, 13, 8, 9, 6, 7, 10, 8, 7, 8, 2] [13, 10, 10, 7, 7, 9, 6, 9, 4, 13, 7, 9, 8, 7, 9] [9, 7, 7, 11, 6, 10, 10, 10, 6, 7, 2, 7, 7, 13] [8, 9, 3, 7, 2, 7, 3, 11, 7, 3, 11, 8, 7, 11, 9] [9, 3, 9, 4, 7, 3, 7, 12, 3, 9, 7, 9, 8, 7, 11] [11, 9, 10, 9, 7, 6, 3, 2, 9, 3, 4, 7, 9, 4, 7] [7, 9, 4, 12, 11, 9, 10, 10, 9, 7, 11, 4, 7, 11] [4, 6, 3, 7, 7, 11, 9, 12, 8, 9, 7, 9, 7, 7, 9] [9, 9, 12, 11, 4, 9, 11, 3, 7, 9, 7, 12, 9, 4] [9, 11, 7, 8, 9, 2, 7, 9, 9, 9, 9, 10, 12, 9, 8] [10, 7, 9, 9, 7, 11, 4, 6, 3, 9, 3, 9, 9, 9] [9, 7, 9, 7, 8, 7, 9, 13, 7, 9, 13, 9, 7, 13, 10] [10, 9, 8, 7, 7, 6, 7, 8, 6, 10, 9, 7, 12, 7, 10] [13, 6, 9, 8, 7, 10, 6, 12, 8, 6, 7, 7, 8, 7, 7] [7, 7, 7, 8, 13, 3, 9, 10, 8, 9, 10, 7, 9, 13] [7, 9, 7, 7, 11, 3, 6, 3, 9, 6, 11, 9, 7, 11, 3] [3, 8, 9, 9, 7, 3, 3, 9, 11, 3, 7, 9, 9, 7, 6] [3, 3, 7, 9, 9, 12, 11, 7, 3, 3, 3, 12, 9, 3, 12] [12, 8, 3, 8, 11, 3, 7, 2, 7, 8, 2, 3, 8, 3] [3, 7, 9, 10, 9, 10, 8, 8, 8, 8, 6, 9, 10, 6, 7] [7, 8, 7, 8, 10, 10, 10, 6, 3, 7, 13, 7, 9, 10, 12] [8, 9, 3, 7, 11, 7, 3, 3, 7, 10, 11, 9, 7, 11, 9] [9, 9, 11, 4, 6, 9, 3, 7, 9, 3, 12, 11, 3, 8] [11, 8, 10, 10, 10, 6, 4, 6, 9, 4, 13, 7, 10, 13, 7] [7, 9, 9, 12, 11, 7, 8, 3, 3, 7, 11, 9, 7, 11] [7, 8, 10, 3, 7, 3, 13, 9, 4, 7, 7, 9, 7, 7, 9] [9, 13, 7, 10, 13, 8, 11, 7, 10, 7, 11, 7, 7, 7] [2, 8, 10, 9, 2, 11, 3, 8, 4, 3, 3, 8, 9, 3, 9] [9, 3, 9, 11, 9, 7, 11, 7, 7, 9, 9, 8, 9, 9, 8] [8, 8, 3, 9, 3, 2, 7, 8, 7, 7, 11, 9, 9, 11, 9] [9, 9, 6, 4, 8, 9, 3, 7, 8, 9, 3, 6, 9, 8] [11, 9, 12, 3, 4, 9, 8, 3, 7, 8, 2, 8, 3, 2, 3] [3, 8, 9, 7, 3, 3, 9, 8, 2, 3, 11, 9, 8, 3, 7] [3, 12, 11, 9, 3, 8, 2, 7, 9, 3, 8, 9, 9, 8, 9] [9, 7, 8, 10, 2, 12, 11, 13, 9, 8, 7, 8, 8, 3] [9, 8, 4, 3, 6, 9, 12, 2, 9, 12, 2, 7, 3, 2, 10] [10, 12, 9, 9, 3, 11, 9, 7, 11, 10, 8, 8, 7, 3, 10] [2, 8, 12, 9, 9, 9, 11, 7, 7, 11, 9, 3, 9, 9, 3] [3, 9, 9, 7, 2, 8, 12, 11, 10, 8, 10, 9, 8, 2] [9, 9, 11, 9, 8, 2, 8, 7, 9, 8, 3, 8, 9, 3, 9] [9, 10, 7, 8, 9, 7, 2, 4, 3, 9, 9, 7, 8, 9] [7, 2, 9, 9, 8, 7, 3, 9, 8, 7, 9, 4, 7, 9, 7] [4, 8, 9, 8, 3, 2, 9, 9, 11, 10, 13, 9, 10, 7] [9, 8, 7, 8, 6, 8, 8, 8, 10, 8, 8, 9, 8, 8, 12] [12, 8, 9, 8, 8, 10, 8, 7, 10, 12, 9, 8, 9, 8, 11] [8, 9, 8, 9, 10, 11, 10, 7, 7, 10, 8, 8, 9, 8, 8] [8, 7, 10, 6, 8, 12, 8, 13, 9, 9, 11, 10, 9, 8] [8, 9, 9, 10, 8, 4, 9, 11, 3, 9, 2, 2, 10, 2, 11] [11, 9, 8, 9, 10, 11, 4, 7, 2, 11, 8, 8, 2, 10, 7] [11, 4, 8, 9, 2, 7, 2, 9, 12, 11, 11, 9, 8, 11, 9] [9, 9, 11, 7, 2, 4, 8, 3, 9, 9, 3, 11, 9, 11] [4, 10, 8, 11, 9, 11, 9, 9, 7, 9, 9, 9, 11, 9, 8] [8, 9, 8, 3, 11, 12, 11, 10, 12, 8, 8, 10, 9, 11, 9] [9, 9, 4, 8, 2, 9, 12, 11, 9, 12, 10, 2, 8, 10, 2] [2, 7, 10, 8, 9, 9, 4, 8, 9, 11, 9, 10, 11, 9] [10, 9, 12, 11, 11, 9, 9, 10, 7, 9, 8, 10, 11, 8, 8] [8, 9, 9, 9, 10, 9, 9, 11, 11, 8, 2, 9, 10, 10] [9, 9, 11, 4, 10, 11, 8, 7, 9, 9, 8, 7, 8, 8, 9] [7, 3, 8, 13, 8, 9, 10, 7, 12, 8, 10, 8, 8, 9] [7, 8, 7, 7, 7, 9, 10, 9, 9, 10, 9, 7, 7, 9, 3] [3, 10, 7, 9, 7, 10, 9, 8, 10, 3, 7, 8, 4, 7, 12] [9, 2, 10, 7, 9, 13, 10, 4, 8, 10, 9, 7, 7, 9, 7] [7, 7, 9, 13, 9, 3, 10, 6, 2, 7, 12, 9, 7, 9] [9, 7, 7, 9, 13, 7, 2, 10, 10, 2, 13, 9, 9, 13, 12] [12, 2, 7, 3, 9, 10, 7, 4, 13, 12, 9, 7, 9, 9, 13] [10, 7, 9, 7, 9, 4, 13, 6, 3, 10, 12, 4, 7, 12, 4] [4, 8, 12, 10, 13, 7, 9, 8, 7, 2, 6, 12, 2, 10] [7, 9, 13, 12, 11, 2, 7, 10, 7, 7, 10, 9, 12, 10, 7] [7, 7, 8, 3, 12, 8, 2, 10, 8, 7, 9, 9, 9, 12, 3] [10, 8, 7, 8, 2, 7, 8, 6, 6, 8, 3, 9, 8, 3, 9] [9, 4, 3, 10, 10, 8, 7, 9, 7, 12, 3, 3, 12, 10] [3, 7, 8, 2, 12, 10, 8, 10, 7, 8, 9, 9, 2, 9, 8] [8, 7, 3, 3, 3, 6, 10, 13, 12, 8, 2, 3, 9, 3] [6, 10, 2, 7, 9, 6, 9, 4, 8, 6, 8, 9, 10, 8, 9] [9, 8, 8, 4, 9, 10, 3, 2, 8, 7, 7, 8, 7, 6] [8, 7, 8, 8, 13, 12, 7, 10, 4, 7, 10, 6, 8, 10, 7] [7, 7, 7, 9, 8, 13, 12, 13, 13, 7, 4, 7, 3, 8, 6] [10, 7, 7, 7, 12, 9, 13, 3, 13, 13, 9, 8, 7, 9, 8] [8, 8, 9, 9, 10, 7, 7, 6, 7, 4, 6, 9, 4, 10] [9, 8, 2, 12, 3, 13, 7, 2, 8, 7, 3, 7, 12, 3, 9] [9, 7, 9, 7, 9, 2, 13, 8, 3, 9, 12, 9, 7, 9] [2, 13, 12, 8, 7, 3, 3, 7, 7, 2, 9, 10, 9, 9, 3] [10, 8, 9, 7, 3, 13, 9, 8, 2, 7, 11, 9, 7, 2] [13, 9, 7, 6, 8, 9, 7, 7, 13, 7, 7, 4, 6, 7, 8] [8, 7, 12, 9, 6, 7, 9, 13, 7, 8, 10, 12, 4, 6, 3] [7, 7, 13, 9, 3, 2, 7, 13, 7, 7, 3, 7, 12, 3, 7] [7, 8, 3, 3, 7, 7, 13, 4, 8, 9, 3, 3, 9, 7] [3, 7, 7, 9, 6, 7, 10, 13, 8, 10, 10, 9, 9, 10, 9] [9, 8, 7, 10, 3, 7, 7, 2, 9, 12, 3, 7, 12, 3] [7, 7, 9, 13, 9, 13, 10, 8, 10, 7, 12, 9, 7, 9, 4] [9, 10, 9, 11, 10, 7, 3, 9, 7, 8, 3, 9, 8, 7] [9, 9, 9, 8, 11, 7, 7, 10] [3, 7, 8, 8, 8, 7, 7] [10, 10, 7, 8, 8, 7, 10, 9] [8, 7, 7, 4, 10, 3, 7] [8, 8, 7, 8, 4, 8, 10, 7] [13, 10, 3, 7, 8, 7, 8] [7, 9, 8, 8, 2, 7, 7] [2, 9, 10, 8, 7, 9, 8] [7, 13, 9, 13, 7, 3, 7, 7] [7, 7, 10, 8, 13, 9, 3] [7, 7, 7, 10, 3, 8, 9, 12] [13, 8, 8, 7, 7, 7, 7] [8, 7, 7, 3, 10, 8, 7, 13] [13, 7, 8, 7, 8, 13, 8] [13, 8, 3, 7, 2, 12, 2] [4, 7, 13, 9, 2, 8, 8] [2, 4, 7, 13, 9, 8, 7, 8] [10, 7, 7, 8, 13, 12, 8] [8, 13, 7, 7, 7, 9, 12, 7] [13, 7, 7, 7, 8, 10, 7] [8, 13, 7, 7, 7, 7, 13, 7] [3, 13, 10, 7, 7, 7, 7] [7, 7, 8, 13, 8, 7, 9] [6, 8, 3, 8, 9, 7, 8] [7, 8, 8, 3, 8, 7, 7, 2] [2, 7, 7, 8, 3, 13, 7] [2, 3, 7, 7, 7, 7, 13] [8, 9, 8, 4, 2, 3, 7] [8, 7, 13, 7, 3, 2, 3, 12] [7, 2, 7, 3, 8, 9, 2] [9, 2, 7, 7, 8, 9, 8] [8, 10, 7, 9, 8, 2, 8] [13, 9, 8, 8, 8, 7, 10, 7] [9, 10, 3, 7, 8, 9, 7] [7, 10, 10, 3, 9, 13, 9, 7] [8, 3, 9, 6, 7, 9, 10] [7, 8, 2, 9, 6, 3, 10, 10] [4, 10, 7, 9, 9, 10, 3] [10, 2, 7, 8, 4, 7, 13] [6, 7, 7, 8, 13, 2, 7] [3, 10, 7, 4, 9, 7, 2, 7] [10, 2, 6, 8, 4, 7, 7] [7, 13, 2, 6, 7, 3, 7, 3] [4, 12, 8, 9, 7, 13, 2] [8, 3, 7, 7, 7, 7, 13, 9] [6, 10, 9, 8, 8, 9, 7] [9, 7, 7, 3, 10, 7, 4] [8, 4, 6, 9, 4, 7, 8] [6, 7, 9, 10, 3, 4, 7, 13] [10, 7, 8, 4, 10, 2, 4] [13, 8, 7, 8, 7, 7, 2, 8] [10, 7, 7, 9, 13, 10, 7] [4, 6, 8, 7, 8, 7, 8, 7] [6, 8, 10, 8, 7, 7, 7] [7, 7, 4, 6, 13, 8, 7] [9, 9, 6, 10, 7, 7, 4] [7, 7, 7, 8, 9, 7, 8, 8] [10, 8, 4, 9, 8, 10, 7] [8, 12, 7, 4, 7, 8, 10] [13, 8, 8, 7, 8, 12, 7] [8, 8, 10, 7, 8, 8, 9, 2] [4, 6, 8, 9, 8, 3, 8] [3, 8, 7, 7, 7, 3, 13] [2, 9, 4, 4, 13, 8, 8] [4, 4, 8, 7, 9, 12, 3, 10] [8, 3, 9, 9, 7, 6, 12] [10, 7, 3, 9, 6, 2, 11, 9] [7, 9, 3, 13, 10, 8, 3] [9, 7, 8, 6, 13, 9, 7, 3] [8, 7, 8, 7, 6, 3, 9] [3, 8, 9, 7, 8, 12, 2] [7, 9, 10, 8, 2, 8, 9] [9, 7, 9, 8, 3, 8, 8, 12] [3, 8, 7, 7, 8, 9, 8] [12, 2, 8, 7, 8, 9, 9, 9] [8, 3, 7, 7, 12, 2, 8] [7, 9, 12, 8, 10, 9, 2, 11] [7, 3, 7, 10, 7, 11, 9] [11, 9, 8, 9, 7, 9, 8] [7, 9, 8, 7, 3, 9, 12, 4] [2, 12, 8, 9, 7, 9, 9] [4, 11, 12, 8, 9, 9, 9, 9] [7, 10, 9, 3, 4, 2, 12] [9, 7, 8, 9, 10, 10, 11, 12] [7, 11, 7, 9, 9, 12, 10] [12, 10, 9, 7, 4, 9, 9] [11, 3, 7, 9, 9, 10, 9] [10, 9, 9, 7, 3, 12, 8, 11] [7, 8, 9, 6, 7, 2, 12] [11, 3, 10, 9, 12, 8, 2] [4, 9, 8, 9, 11, 3, 10] [8, 8, 2, 12, 7, 11, 3, 9] [9, 7, 9, 11, 8, 9, 11] [9, 11, 12, 10, 9, 7, 4] [9, 4, 9, 7, 4, 11, 8] [11, 10, 8, 7, 9, 7, 8, 7] [8, 8, 12, 7, 7, 10, 7] [7, 10, 8, 12, 8, 11, 8, 9] [7, 12, 8, 9, 7, 8, 8] [7, 7, 9, 8, 9, 12, 10, 8] [7, 10, 9, 6, 8, 8, 12] [8, 9, 7, 7, 7, 9, 11] [13, 8, 7, 7, 11, 9, 7] [12, 3, 9, 7, 7, 9, 9, 9] [11, 9, 9, 9, 7, 4, 9] [9, 2, 9, 9, 9, 12, 4, 1] [7, 11, 9, 8, 9, 2, 9] [9, 12, 4, 9, 7, 9, 2, 8] [9, 11, 6, 3, 9, 8, 9] [8, 9, 9, 12, 3, 8, 7] [3, 9, 9, 8, 7, 9, 9] [9, 7, 10, 10, 9, 7, 9, 8] [9, 9, 9, 7, 10, 11, 7] [8, 12, 9, 9, 7, 7, 11, 8] [10, 8, 7, 8, 8, 9, 9] [7, 9, 9, 7, 3, 9, 12, 4] [11, 12, 3, 9, 7, 4, 9] [4, 9, 7, 9, 11, 8, 9] [8, 2, 11, 9, 9, 9, 7] [9, 7, 9, 10, 10, 7, 9, 12] [10, 9, 7, 8, 10, 9, 7] [12, 11, 9, 7, 9, 9, 9] [11, 8, 3, 9, 12, 11, 9] [3, 9, 9, 7, 10, 12, 8, 11] [7, 9, 9, 8, 3, 10, 12] [10, 12, 7, 9, 7, 9, 8] [7, 7, 7, 13, 8, 12, 3] [8, 9, 8, 9, 10, 7, 4, 11] [2, 4, 9, 8, 9, 2, 7] [11, 8, 4, 9, 9, 7, 8, 8] [9, 9, 12, 3, 11, 2, 4] [8, 9, 7, 9, 3, 9, 8, 4] [3, 8, 9, 8, 9, 4, 9] [4, 8, 8, 9, 6, 7, 7] [8, 8, 11, 9, 7, 8, 8] [9, 3, 8, 3, 12, 9, 7, 7] [4, 7, 8, 9, 3, 8, 9] [7, 7, 7, 8, 9, 9, 8, 3] [3, 13, 9, 8, 7, 7, 7] [9, 9, 7, 9, 11, 8, 7, 10] [3, 4, 8, 12, 9, 10, 8] [10, 8, 9, 9, 8, 3, 6] [3, 7, 3, 7, 6, 8, 9] [8, 10, 8, 3, 4, 8, 7, 9] [6, 7, 7, 8, 3, 3, 8] [9, 10, 7, 7, 9, 8, 3, 7] [3, 4, 9, 12, 9, 6, 7] [8, 3, 7, 9, 12, 4, 10, 7] [9, 10, 8, 8, 9, 7, 4] [7, 4, 8, 3, 9, 7, 8] [2, 13, 9, 9, 8, 4, 8] [4, 9, 8, 9, 11, 7, 7, 8] [8, 7, 8, 9, 9, 3, 7] [8, 13, 4, 8, 7, 7, 3] [9, 8, 9, 10, 8, 13, 4] [9, 7, 3, 7, 9, 8, 13, 3] [8, 8, 8, 2, 9, 8, 8] [8, 8, 7, 4, 9, 7, 9] [7, 7, 8, 8, 9, 8, 9] [10, 12, 7, 8, 7, 8, 6, 8] [6, 6, 9, 8, 8, 4, 8] [8, 11, 6, 9, 9, 10, 7, 9] [8, 9, 9, 8, 8, 6, 6] [8, 8, 9, 9, 8, 9, 11, 6] [10, 11, 9, 9, 9, 6, 9] [6, 9, 8, 8, 10, 9, 10] [8, 8, 8, 7, 10, 9, 8] [9, 11, 8, 10, 9, 8, 9, 9] [8, 9, 2, 9, 10, 8, 8] [9, 3, 9, 2, 8, 9, 8, 3] [10, 10, 9, 9, 9, 3, 9] [9, 9, 8, 8, 8, 9, 3, 7] [2, 8, 9, 4, 9, 7, 9] [7, 9, 8, 9, 11, 7, 10] [11, 3, 2, 9, 10, 9, 9] [2, 8, 4, 11, 8, 10, 9, 3] [9, 9, 9, 10, 11, 8, 10] [3, 9, 9, 9, 8, 8, 8, 7] [11, 7, 8, 9, 3, 9, 9] [10, 2, 8, 8, 4, 7, 9, 8] [2, 9, 11, 9, 8, 8, 7] [8, 7, 10, 2, 10, 7, 9] [9, 6, 2, 7, 9, 7, 10] [7, 8, 9, 11, 12, 8, 9, 9] [11, 9, 10, 9, 11, 9, 8] [9, 10, 7, 10, 9, 8, 9] [10, 7, 4, 9, 9, 10, 7] [4, 9, 9, 8, 11, 9, 6, 8] [10, 2, 9, 9, 4, 13, 9] [13, 9, 8, 7, 8, 7, 3] [9, 7, 10, 3, 3, 9, 4] [3, 3, 9, 7, 7, 10, 13, 9] [7, 13, 4, 8, 7, 8, 10] [9, 12, 13, 4, 7, 6, 10, 6] [7, 4, 7, 10, 9, 7, 13] [8, 7, 7, 7, 10, 4, 12, 13] [9, 12, 7, 2, 7, 13, 4] [13, 7, 8, 7, 9, 3, 6] [9, 7, 9, 7, 6, 7, 8] [4, 12, 7, 9, 7, 7, 7, 3] [13, 7, 9, 7, 9, 8, 7] [3, 6, 7, 9, 7, 4, 8, 5] [9, 7, 7, 2, 3, 6, 7] [7, 4, 10, 7, 9, 6, 6, 10] [9, 13, 2, 7, 7, 10, 6] [10, 6, 7, 4, 12, 8, 9] [10, 9, 9, 8, 9, 6, 7] [9, 7, 9, 12, 13, 9, 3, 3] [11, 3, 9, 9, 12, 7, 9] [3, 3, 3, 9, 8, 8, 7, 9] [12, 9, 8, 7, 3, 11, 3] [9, 9, 9, 8, 7, 9, 3, 10] [2, 3, 12, 8, 8, 10, 9] [10, 9, 9, 9, 3, 9, 6] [10, 7, 2, 4, 6, 9, 9] [9, 8, 6, 2, 8, 10, 9, 3] [12, 9, 9, 7, 2, 11, 10] [3, 7, 9, 9, 3, 9, 11] [3, 9, 7, 7, 3, 7, 9] [7, 9, 11, 10, 2, 3, 7, 7] [9, 9, 8, 10, 7, 4, 3] [4, 3, 10, 9, 8, 12, 3] [6, 10, 9, 8, 3, 3, 7] [3, 7, 7, 8, 8, 7, 9, 9] [13, 9, 3, 7, 8, 7, 7] [9, 6, 9, 3, 7, 10, 7, 8] [8, 10, 7, 7, 9, 13, 9] [7, 8, 6, 7, 7, 10, 6, 9] [12, 6, 4, 7, 7, 9, 10] [9, 8, 7, 8, 9, 8, 10] [10, 7, 12, 8, 10, 8, 7] [10, 9, 9, 12, 2, 9, 6, 7] [3, 6, 7, 8, 12, 3, 9] [7, 11, 8, 7, 9, 3, 3, 10] [9, 3, 8, 7, 7, 11, 8] [8, 3, 3, 9, 12, 7, 11, 7] [7, 3, 7, 13, 8, 7, 7] [7, 7, 9, 10, 9, 9, 9] [2, 12, 7, 8, 9, 7, 8] [7, 8, 7, 6, 7, 12, 8, 9] [8, 8, 4, 9, 6, 10, 12] [9, 3, 8, 4, 12, 7, 10, 7] [6, 7, 9, 7, 9, 6, 8] [3, 10, 9, 7, 9, 3, 9] [3, 9, 12, 7, 3, 7, 7] [7, 9, 3, 8, 7, 9, 9] [9, 9, 8, 9, 7, 7, 4, 10] [6, 4, 12, 7, 9, 8, 7] [10, 3, 9, 9, 7, 9, 6] [3, 7, 13, 8, 3, 3, 9] [13, 4, 8, 7, 9, 3, 13, 10] [9, 7, 7, 7, 13, 11, 10] [11, 10, 7, 9, 9, 9, 9] [7, 9, 9, 10, 9, 10, 13] [3, 11, 3, 4, 9, 13, 8, 9] [8, 8, 8, 2, 4, 9, 13] [9, 8, 8, 8, 8, 3, 8, 10] [4, 10, 3, 9, 9, 8, 8] [2, 4, 13, 8, 9, 8, 8, 8] [7, 8, 7, 3, 8, 8, 8] [8, 2, 2, 4, 8, 13, 3] [8, 7, 9, 8, 3, 2, 2] [10, 7, 7, 7, 3, 7, 13, 13] [8, 13, 8, 4, 7, 10, 7] [13, 3, 13, 8, 7, 8, 10, 7] [7, 7, 4, 3, 13, 3, 13] [4, 10, 13, 7, 9, 2, 3, 7] [7, 8, 6, 3, 4, 7, 2] [7, 2, 7, 10, 8, 7, 8] [9, 13, 7, 3, 8, 2, 4] [8, 9, 10, 7, 10, 6, 13, 4] [8, 13, 3, 6, 7, 7, 6] [4, 7, 13, 3, 10, 10, 7, 13] [7, 8, 10, 3, 4, 8, 13] [6, 7, 3, 10, 3, 8, 7, 13] [7, 7, 8, 9, 10, 13, 8] [13, 8, 6, 7, 4, 13, 10] [8, 7, 7, 2, 10, 8, 6] [8, 8, 2, 7, 9, 13, 3, 8] [8, 3, 3, 8, 7, 7, 13] [8, 7, 8, 3, 13, 3, 7] [4, 2, 8, 9, 8, 7, 8] [8, 3, 7, 13, 7, 8, 7, 7] [3, 8, 9, 8, 8, 7, 8] [7, 8, 13, 8, 8, 3, 4] [9, 9, 3, 7, 4, 8, 8] [7, 8, 9, 6, 12, 6, 8, 9] [7, 8, 7, 6, 6, 2, 6] [9, 9, 8, 7, 11, 7, 3, 10] [6, 7, 11, 8, 9, 7, 8] [6, 6, 4, 11, 8, 7, 9, 8] [9, 9, 10, 10, 11, 8, 7] [8, 4, 6, 6, 9, 10, 7] [8, 10, 9, 8, 7, 4, 6] [7, 9, 10, 9, 11, 3, 4, 10] [8, 4, 8, 8, 9, 6, 3] [10, 7, 4, 8, 3, 7, 6, 10] [9, 7, 8, 10, 10, 7, 4] [8, 7, 6, 3, 9, 10, 7, 3] [8, 8, 10, 2, 8, 3, 10] [3, 10, 3, 7, 9, 13, 9] [9, 9, 8, 11, 9, 10, 8] [8, 3, 10, 9, 8, 9, 10, 7] [4, 10, 8, 9, 9, 8, 9] [7, 7, 10, 8, 9, 6, 8, 8] [9, 13, 9, 11, 7, 4, 10] [9, 8, 6, 9, 2, 13, 7, 6] [8, 7, 9, 2, 9, 6, 13] [6, 13, 9, 8, 7, 8, 10] [10, 7, 8, 9, 10, 13, 9] [13, 9, 10, 9, 8, 6, 8, 7] [9, 8, 9, 11, 9, 4, 6] [7, 7, 13, 9, 10, 6, 4] [7, 8, 2, 10, 7, 7, 13] [2, 8, 4, 6, 9, 7, 7, 8] [9, 8, 2, 10, 2, 7, 7] [7, 7, 6, 13, 9, 12, 7] [4, 3, 9, 9, 7, 7, 2] [9, 9, 8, 13, 3, 7, 7, 4] [9, 7, 10, 7, 13, 8, 7] [4, 6, 7, 10, 12, 8, 9, 7] [13, 10, 12, 7, 4, 9, 7] [7, 13, 8, 12, 7, 10, 6, 7] [7, 6, 6, 9, 12, 7, 10] [7, 8, 7, 13, 7, 7, 8] [8, 3, 4, 9, 8, 8, 7] [10, 3, 3, 7, 12, 6, 8, 7] [7, 8, 8, 13, 7, 7, 6] [7, 8, 8, 8, 6, 10, 7, 2] [7, 12, 13, 9, 7, 8, 8] [13, 10, 7, 6, 4, 7, 8, 9] [10, 7, 9, 9, 13, 9, 7] [9, 7, 6, 10, 6, 2, 7] [7, 11, 10, 10, 7, 7, 13] [8, 3, 2, 3, 7, 11, 7, 9] [9, 7, 7, 11, 3, 8, 11] [9, 9, 7, 7, 3, 7, 8, 11] [3, 4, 3, 12, 9, 9, 7] [11, 10, 7, 3, 9, 4, 9, 7] [9, 9, 6, 2, 3, 7, 4] [7, 4, 11, 10, 9, 11, 7] [9, 12, 9, 10, 7, 4, 11] [4, 3, 7, 9, 8, 7, 7, 9] [6, 7, 11, 12, 9, 9, 7] [9, 12, 4, 11, 7, 7, 9] [9, 11, 9, 3, 9, 12, 4] [9, 7, 9, 7, 9, 9, 12, 8] [11, 8, 2, 9, 9, 10, 9] [10, 9, 7, 4, 3, 3, 9] [7, 9, 11, 6, 9, 9, 9] [9, 9, 8, 9, 7, 13, 7, 10] [7, 7, 7, 13, 9, 9, 13] [10, 8, 7, 7, 6, 9, 12, 10] [9, 7, 6, 8, 10, 7, 7] [13, 9, 7, 6, 8, 7, 8, 7] [6, 8, 10, 12, 6, 7, 7] [7, 7, 13, 9, 8, 10, 9] [7, 8, 3, 10, 9, 7, 13] [7, 7, 11, 6, 9, 11, 7, 3] [9, 7, 3, 3, 6, 9, 11] [3, 9, 7, 3, 11, 7, 9, 6] [8, 9, 3, 9, 3, 9, 7] [3, 7, 9, 11, 3, 3, 9, 12] [3, 9, 12, 7, 3, 12, 3] [12, 3, 11, 7, 7, 2, 8] [8, 8, 3, 2, 8, 3, 3] [3, 9, 9, 8, 8, 6, 10, 7] [7, 10, 10, 8, 8, 9, 6] [7, 7, 10, 10, 3, 13, 9, 12] [8, 8, 10, 6, 7, 7, 10] [8, 3, 11, 3, 7, 11, 7, 9] [9, 7, 7, 3, 10, 9, 11] [9, 11, 6, 3, 9, 12, 3] [9, 4, 9, 7, 3, 11, 8] [11, 10, 10, 4, 9, 13, 10, 7] [8, 10, 6, 6, 4, 7, 13] [7, 9, 11, 8, 3, 11, 7] [9, 12, 7, 3, 7, 9, 11] [7, 10, 7, 13, 4, 7, 7, 9] [8, 3, 3, 9, 7, 9, 7] [9, 7, 13, 11, 10, 11, 7] [13, 10, 8, 7, 7, 7, 7] [2, 10, 2, 3, 4, 3, 9, 9] [8, 9, 11, 8, 3, 8, 3] [9, 9, 9, 11, 7, 9, 9, 8] [3, 11, 7, 7, 9, 8, 9] [8, 3, 3, 7, 7, 11, 9, 9] [8, 9, 2, 8, 7, 9, 11] [9, 6, 8, 3, 8, 3, 9] [9, 4, 9, 7, 9, 6, 8] [11, 12, 4, 8, 7, 2, 3, 3] [9, 3, 9, 3, 8, 8, 2] [3, 9, 3, 9, 2, 11, 8, 7] [8, 7, 3, 8, 3, 9, 3] [3, 11, 3, 2, 9, 8, 9, 9] [12, 9, 8, 7, 3, 9, 8] [9, 8, 2, 11, 9, 7, 8] [7, 10, 12, 13, 8, 8, 3] [9, 4, 6, 12, 9, 2, 3, 10] [8, 3, 9, 2, 12, 7, 2] [10, 9, 3, 9, 11, 8, 7, 10] [12, 9, 11, 7, 10, 8, 3] [2, 12, 9, 11, 7, 9, 9, 3] [8, 9, 9, 7, 11, 3, 9] [3, 9, 2, 12, 10, 10, 8] [9, 7, 8, 11, 8, 9, 2] [9, 11, 8, 8, 9, 3, 9, 9] [9, 9, 2, 7, 8, 8, 3] [9, 7, 9, 2, 3, 9, 8] [10, 8, 7, 4, 9, 7, 9] [7, 9, 8, 3, 8, 9, 7, 7] [2, 9, 7, 9, 7, 4, 9] [4, 9, 3, 9, 11, 13, 10] [8, 8, 2, 9, 10, 9, 7] [9, 7, 6, 8, 10, 8, 8, 12] [8, 8, 8, 8, 8, 9, 8] [12, 9, 8, 8, 10, 9, 9, 11] [8, 8, 10, 7, 12, 8, 8] [8, 8, 10, 10, 7, 8, 9, 8] [9, 9, 11, 7, 10, 8, 8] [8, 10, 8, 8, 9, 11, 9] [7, 6, 12, 13, 9, 10, 8] [8, 9, 8, 9, 3, 2, 10, 11] [9, 10, 4, 11, 9, 2, 2] [11, 8, 10, 4, 2, 8, 2, 7] [9, 9, 11, 7, 11, 8, 10] [11, 8, 2, 2, 12, 11, 8, 9] [4, 9, 7, 9, 11, 9, 11] [9, 11, 2, 8, 9, 3, 9] [9, 7, 4, 3, 9, 11, 11] [4, 8, 9, 9, 7, 9, 11, 8] [10, 11, 11, 9, 9, 9, 9] [8, 8, 11, 11, 12, 8, 9, 9] [9, 3, 12, 10, 8, 10, 11] [9, 4, 2, 12, 9, 10, 8, 2] [9, 8, 9, 11, 12, 2, 10] [2, 10, 9, 4, 9, 9, 11] [7, 8, 9, 8, 11, 10, 9] [10, 12, 11, 9, 7, 8, 11, 8] [9, 11, 9, 10, 9, 10, 8] [8, 9, 10, 9, 11, 2, 10] [9, 9, 9, 11, 8, 9, 10] [9, 11, 10, 8, 9, 8, 8, 9] [9, 4, 11, 7, 9, 7, 8] [7, 8, 8, 10, 12, 10, 8] [3, 13, 9, 7, 8, 8, 9] [7, 7, 7, 10, 9, 9, 7, 3] [8, 7, 9, 9, 10, 7, 9] [3, 7, 7, 9, 10, 7, 4, 12] [10, 9, 10, 8, 3, 8, 7] [9, 10, 9, 10, 8, 9, 7, 7] [2, 7, 13, 4, 10, 7, 9] [7, 9, 9, 10, 2, 12, 7] [7, 13, 3, 6, 7, 9, 9] [9, 7, 13, 2, 10, 13, 9, 12] [7, 9, 7, 10, 2, 9, 13] [12, 7, 9, 7, 13, 9, 9, 13] [2, 3, 10, 4, 12, 7, 9] [10, 9, 9, 13, 3, 12, 7, 4] [7, 7, 4, 6, 10, 4, 12] [4, 12, 13, 9, 7, 6, 2] [8, 10, 7, 8, 2, 12, 10] [7, 13, 11, 7, 7, 10, 12, 7] [9, 12, 2, 10, 7, 9, 10] [7, 8, 12, 2, 8, 9, 9, 3] [7, 3, 8, 10, 7, 9, 12] [10, 7, 2, 8, 6, 3, 8, 9] [8, 8, 7, 6, 8, 9, 3] [9, 3, 10, 7, 7, 3, 12] [4, 10, 8, 9, 12, 3, 10] [3, 8, 12, 8, 7, 9, 2, 8] [7, 2, 10, 10, 8, 9, 9] [8, 3, 3, 10, 12, 2, 9] [7, 3, 6, 13, 8, 3, 3] [6, 2, 9, 9, 8, 8, 10, 9] [10, 7, 6, 4, 6, 9, 8] [9, 8, 9, 3, 8, 7, 7] [8, 4, 10, 2, 7, 8, 6] [8, 8, 13, 7, 4, 10, 8, 7] [7, 8, 12, 10, 7, 6, 10] [7, 7, 8, 12, 13, 4, 3, 6] [7, 9, 13, 13, 7, 7, 8] [10, 7, 12, 13, 13, 9, 7, 8] [7, 7, 9, 3, 13, 8, 9] [8, 9, 10, 7, 7, 6, 4] [8, 9, 7, 6, 4, 9, 10] [9, 2, 3, 7, 8, 3, 12, 9] [8, 12, 13, 2, 7, 7, 3] [9, 9, 9, 13, 3, 12, 7] [7, 7, 2, 8, 9, 9, 9] [2, 12, 7, 3, 7, 9, 9, 3] [13, 8, 3, 7, 2, 10, 9] [10, 9, 3, 9, 2, 11, 7] [8, 7, 13, 8, 7, 9, 2] [13, 7, 8, 7, 13, 7, 6, 8] [9, 6, 9, 7, 7, 4, 7] [8, 12, 6, 9, 7, 10, 4, 3] [7, 9, 7, 13, 8, 12, 6] [7, 13, 3, 7, 7, 3, 12, 7] [7, 9, 2, 13, 7, 7, 3] [7, 3, 7, 13, 8, 3, 9] [8, 3, 7, 4, 9, 3, 7] [3, 7, 6, 10, 8, 10, 9, 9] [7, 9, 7, 13, 10, 9, 10] [9, 7, 3, 7, 9, 3, 12] [8, 10, 7, 2, 12, 7, 3] [7, 9, 9, 10, 10, 12, 7, 4] [7, 13, 13, 8, 7, 9, 9] [9, 9, 10, 3, 7, 3, 8] [10, 11, 7, 9, 8, 9, 7] [3, 8, 8, 7] [10, 7, 8, 10] [10, 8, 7, 9] [8, 7, 10, 7] [7, 4, 3] [8, 7, 4, 10] [13, 3, 8, 8] [7, 8, 2, 7] [2, 10, 7, 8] [13, 13, 3, 7] [7, 10, 13, 3] [7, 7, 3, 9] [13, 8, 8, 8] [13, 3, 2, 2] [4, 13, 2, 8] [2, 7, 9, 7] [4, 13, 8, 8] [10, 7, 13, 8] [8, 7, 7, 12] [8, 7, 7, 13] [7, 8, 8, 9] [6, 3, 9, 8] [7, 8, 8, 7] [8, 3, 7, 2] [2, 7, 3, 7] [2, 7, 7, 13] [8, 13, 3, 3] [7, 7, 2, 12] [7, 7, 8, 2] [10, 9, 2] [13, 8, 8, 10] [7, 10, 9, 9] [10, 3, 13, 7] [8, 9, 7, 10] [3, 6, 9] [7, 2, 6, 10] [4, 7, 9, 3] [10, 7, 4, 13] [6, 7, 13, 7] [3, 7, 9, 2] [10, 4, 7, 7] [10, 6, 4, 7] [7, 2, 7, 7] [13, 6, 3, 3] [4, 8, 7, 2] [12, 9, 13] [6, 9, 8, 7] [9, 7, 10, 4] [8, 6, 4, 8] [6, 9, 3, 7] [7, 10, 4, 13] [10, 8, 10, 4] [13, 7, 7, 2] [10, 7, 13, 7] [7, 4, 13, 7] [7, 6, 8] [9, 6, 7, 4] [10, 4, 8, 7] [8, 7, 7, 10] [12, 4, 8] [8, 10, 8, 9] [8, 7, 8, 2] [3, 7, 7, 13] [4, 8, 9, 3] [4, 7, 12, 10] [10, 3, 6, 11] [7, 9, 2, 9] [7, 3, 10, 3] [9, 13, 8] [9, 8, 13, 7] [7, 6, 9, 3] [8, 8, 6, 9] [3, 9, 8, 2] [7, 10, 2, 9] [9, 9, 3, 8] [7, 8, 8, 12] [12, 8, 8, 9] [2, 7, 9, 9] [8, 7, 12, 8] [3, 7, 2] [7, 12, 10, 2] [3, 10, 11] [11, 8, 7, 8] [7, 8, 3, 12] [2, 8, 7, 9] [4, 12, 9, 9] [11, 8, 9, 9] [10, 3, 2] [9, 8, 10, 11] [7, 9, 10, 12] [12, 9, 4, 9] [10, 9, 3, 8] [7, 9, 7, 12] [8, 6, 2] [11, 10, 12, 2] [4, 8, 11, 10] [8, 2, 7, 3] [8, 12, 11, 9] [9, 12, 9, 4] [11, 8, 9, 8] [8, 12, 7, 7] [7, 8, 12, 8] [7, 9, 8, 12] [10, 6, 8] [8, 7, 7, 11] [13, 7, 11, 7] [12, 9, 7, 9] [11, 9, 7, 9] [9, 9, 9, 4] [2, 9, 12, 1] [9, 4, 7, 2] [9, 6, 9, 9] [11, 3, 8] [9, 10, 9, 9] [9, 9, 10, 7] [9, 7, 11] [8, 9, 7, 11] [12, 9, 7, 8] [7, 9, 3, 12] [4, 7, 11, 9] [9, 9, 10, 9] [7, 10, 7, 12] [10, 7, 10, 7] [12, 9, 9, 9] [11, 3, 12, 9] [3, 9, 10, 8] [7, 13, 12] [8, 8, 10, 4] [9, 9, 7, 11] [2, 9, 9, 7] [4, 8, 2] [11, 4, 9, 8] [9, 12, 11, 4] [9, 3, 2] [4, 8, 6, 7] [8, 11, 7, 8] [9, 8, 12, 7] [4, 8, 3, 9] [7, 8, 9, 3] [4, 12, 10] [10, 9, 8, 6] [3, 3, 6, 9] [8, 8, 4, 7] [10, 3, 8, 9] [6, 7, 3, 8] [10, 7, 8, 7] [4, 12, 6] [8, 7, 12, 10] [3, 9, 4, 7] [9, 8, 9, 4] [4, 8, 11, 7] [9, 9, 7, 8] [8, 4, 7, 3] [9, 9, 8, 4] [8, 10, 13] [9, 3, 9, 13] [8, 8, 9, 8] [8, 2, 8] [7, 8, 9, 9] [10, 7, 7, 6] [12, 8, 8, 8] [6, 8, 4] [8, 6, 9, 7] [8, 9, 8, 6] [8, 9, 8, 11] [8, 9, 9, 6] [11, 9, 6] [6, 8, 10, 10] [8, 8, 10, 8] [9, 8, 9, 9] [11, 10, 8, 9] [8, 2, 10, 8] [3, 2, 9, 3] [9, 8, 8, 3] [9, 8, 9, 7] [2, 9, 9, 9] [7, 8, 11, 10] [11, 2, 10, 9] [2, 4, 8, 9] [8, 11, 10, 3] [9, 9, 11, 10] [3, 9, 8, 8] [2, 11, 8, 7] [8, 10, 10, 9] [7, 9, 12, 9] [8, 11, 8, 9] [11, 10, 11, 8] [9, 7, 9, 9] [10, 10, 8] [10, 4, 9, 7] [4, 9, 11, 6] [9, 8, 9, 8] [10, 9, 4, 9] [2, 9, 13] [13, 8, 8, 3] [9, 10, 3, 4] [3, 9, 7, 13] [12, 4, 6, 6] [8, 7, 10, 12] [7, 7, 4, 13] [9, 7, 7, 4] [12, 2, 13] [13, 8, 9, 6] [9, 9, 6, 8] [4, 7, 7, 7] [12, 9, 7, 3] [6, 9, 4, 5] [4, 7, 6, 10] [9, 2, 7, 6] [13, 7, 10] [10, 7, 12, 9] [6, 4, 8] [9, 9, 13, 3] [7, 12, 9, 3] [3, 3, 8, 7] [3, 9, 8, 9] [12, 8, 3, 3] [10, 9, 3, 6] [10, 2, 6, 9] [9, 6, 8, 9] [8, 2, 10, 3] [12, 9, 2, 10] [3, 9, 3, 11] [3, 7, 3, 9] [7, 11, 2, 7] [9, 8, 7, 3] [4, 10, 8, 3] [10, 8, 3] [7, 8, 7, 9] [13, 3, 8, 7] [6, 3, 10, 8] [7, 6, 7, 6] [8, 7, 10, 9] [12, 4, 7, 10] [10, 12, 10, 7] [9, 12, 9, 7] [3, 7, 12, 9] [11, 7, 3, 10] [3, 7, 11] [8, 3, 12, 11] [7, 7, 8, 7] [12, 8, 7] [8, 6, 12, 9] [8, 4, 6, 12] [9, 8, 12, 10] [3, 4, 7, 7] [6, 9, 9, 8] [3, 12, 3, 7] [7, 3, 7, 9] [6, 12, 9, 7]
print(codes)
[2, 6]
pag_cfe_deg=[1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 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1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0] len(pag_cfe_deg)
3760
[ker,states,codes,infls]=InferAutomaticity(pag_cfe_deg, 2)
pag_cfe_deg=[0, 1, 1, 4, 3, 0, 1, 3, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 0, 0, 5, 3, 0, 2, 5, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 0, 5, 5, 5, 3, 0, 2, 2, 0, 4, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 2, 5, 3, 0, 0, 4, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 0, 1, 3, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 3, 1, 1, 1, 1, 3, 5, 5, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 1, 1, 0, 5, 5, 5, 5, 0, 0, 3, 3, 2, 0, 3, 3, 1, 1, 1, 0, 5, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 0, 1, 3, 5, 5, 5, 0, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 3, 1, 1, 1, 0, 5, 3, 0, 0, 4, 4, 4, 4, 0, 2, 2, 2, 3, 3, 0, 1, 3, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 3, 1, 1, 1, 1, 3, 5, 5, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 1, 1, 0, 5, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 3, 1, 1, 1, 1, 3, 5, 5, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 1, 1, 0, 5, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 1, 4, 3, 0, 0, 5, 5, 5, 3, 0, 2, 2, 0, 4, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 2, 5, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 3, 1, 1, 1, 1, 3, 5, 5, 3, 0, 2, 2, 0, 4, 4, 4, 3, 0, 1, 1, 0, 5, 5, 5, 5, 0, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 1, 4, 3, 0, 0, 5, 5, 5, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 2, 5, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 4, 0, 2, 2, 2, 3, 3, 0, 1, 3, 5, 5, 5, 0, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 3, 1, 1, 1, 0, 5, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 0, 0, 5, 3, 0, 2, 5, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 3, 1, 0, 3, 4, 1, 0, 3, 4, 0, 0, 3, 5, 2, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 5, 0, 0, 3, 4, 1, 0, 3, 3, 2, 0, 3, 5, 2, 0, 3, 5, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 0, 4, 3, 0, 1, 4, 3, 0, 0, 5, 5, 5, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 2, 5, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 3, 1, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 3, 5, 0, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 0, 0, 5, 3, 0, 2, 5, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 0, 5, 5, 5, 3, 0, 2, 2, 0, 4, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 2, 5, 3, 0, 0, 4, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 4, 4, 0, 2, 2, 2, 3, 3, 0, 0, 5, 3, 0, 2, 5, 3, 0, 0, 4, 3, 0, 0, 5, 5, 5, 5, 0, 1, 1, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 5, 5, 3, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 1, 0]
[ker,states,codes,infls]=InferAutomaticity(pag_cfe_deg, 2)
[0, 1, 3, 1, 5, 5, 0, 4, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 2, 3, 1, 3, 1, 3, 0, 4, 3, 2, 2, 3, 0, 3, 2, 3, 2, 3, 1, 3, 0, 5, 3, 2, 0, 4, 3, 1, 1, 3, 2, 3, 0, 3, 1, 3, 1, 3, 0, 4, 3, 2, 2, 3, 1, 5, 5, 0, 4, 0, 3, 1, 1, 5, 3, 2, 2, 4, 3, 1, 0, 5, 5, 0, 3, 0, 3, 1, 0, 3, 0, 4, 3, 2, 2, 3, 1, 5, 5, 0, 3, 0, 5, 0, 3, 1, 0, 4, 4, 2, 0, 5, 5, 0, 4, 0, 4, 0, 3, 1, 0, 3, 0, 4, 4, 2, 2, 3, 1, 5, 5, 0, 4, 0, 3, 1, 1, 5, 3, 2, 2, 4, 3, 1, 0, 5, 5, 0, 4, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 3, 0, 4, 0, 4, 0, 5, 0, 3, 1, 0, 4, 3, 2, 0, 5, 5, 0, 4, 0, 3, 0, 5, 0, 5, 0, 3, 2, 2, 4, 4, 0, 3, 0, 4, 0, 3, 0, 3, 1, 1, 5, 3, 2, 2, 4, 3, 1, 0, 5, 5, 0, 4, 0, 5, 0, 5, 0, 3, 2, 2, 4, 4, 0, 5, 1, 1, 3, 0, 3, 1, 3, 0, 5, 3, 2, 0, 4, 3, 1, 1, 3, 2, 3, 2, 3, 0, 5, 3, 0, 3, 2, 0, 4, 4, 0, 3, 0, 4, 0, 3, 0, 3, 1, 1, 5, 3, 2, 0, 4, 3, 1, 0, 5, 5, 0, 4, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 3, 0, 4, 0, 4, 0, 5, 0, 3, 1, 0, 4, 3, 2, 0, 5, 5, 0, 4, 0, 3, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 0, 3, 0, 5, 3, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 0, 3, 1, 3, 0, 5, 3, 2, 2, 4, 3, 1, 1, 3, 2, 3, 2, 3, 0, 5, 3, 0, 3, 2, 2, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 3, 2, 0, 5, 3, 1, 1, 3, 0, 3, 0, 5, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 4, 0, 4, 0, 5, 0, 3, 1, 0, 4, 3, 2, 0, 5, 5, 0, 4, 0, 3, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 3, 2, 0, 5, 3, 1, 1, 3, 2, 3, 1, 3, 1, 3, 0, 4, 4, 2, 2, 3, 1, 5, 5, 0, 3, 0, 5, 0, 3, 1, 0, 4, 4, 2, 0, 5, 5, 0, 4, 0, 4, 0, 3, 1, 0, 3, 0, 4, 3, 2, 2, 3, 0, 3, 2, 3, 0, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 0, 3, 0, 5, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 4, 0, 4, 0, 5, 0, 3, 1, 0, 4, 4, 2, 0, 5, 5, 0, 4, 0, 3, 0, 5, 0, 5, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 0, 3, 0, 5, 3, 0, 3, 2, 0, 4, 4, 0, 5, 1, 1, 3, 0, 3, 1, 3, 0, 5, 3, 2, 2, 4, 3, 1, 1, 3, 2, 3, 2, 3, 0, 5, 3, 0, 3, 2, 2, 4, 4, 0, 5, 1, 1, 3, 2, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 2, 3, 1, 3, 1, 3, 0, 4, 3, 2, 2, 3, 0, 3, 2, 3, 2, 3, 1, 3, 0, 5, 3, 2, 0, 4, 3, 1, 1, 3, 2, 3, 0, 3, 1, 3, 1, 3, 0, 4, 4, 2, 2, 3, 0, 3, 2, 3, 0, 3, 0, 5, 5, 1, 0, 4, 4, 2, 0, 5, 3, 1, 1, 3, 2, 3, 1, 3, 1, 3, 0, 1] [1, 4, 0, 3, 5, 0, 3, 0, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 4, 2, 2, 3, 0, 5, 0, 5, 0, 3, 0, 4, 0, 5, 5, 0, 2, 4, 4, 0, 1, 3, 0, 5, 0, 4, 0, 4, 0, 3, 0, 4, 4, 2, 2, 3, 0, 3, 5, 0, 3, 0, 3, 1, 1, 3, 5, 0, 2, 3, 4, 0, 1, 5, 5, 0, 3, 2, 3, 1, 1, 5, 0, 4, 4, 2, 2, 3, 0, 3, 5, 0, 3, 2, 3, 2, 3, 1, 1, 3, 4, 0, 2, 3, 5, 0, 3, 1, 3, 0, 3, 1, 1, 5, 0, 4, 4, 0, 2, 3, 0, 3, 5, 0, 3, 0, 3, 1, 1, 3, 5, 0, 2, 3, 4, 0, 1, 5, 5, 0, 3, 0, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 1, 3, 1, 3, 0, 3, 2, 3, 1, 1, 3, 4, 2, 2, 3, 5, 0, 3, 1, 3, 2, 3, 2, 3, 0, 3, 2, 2, 3, 4, 0, 3, 1, 3, 1, 3, 2, 3, 1, 1, 3, 5, 0, 2, 3, 4, 0, 1, 5, 5, 0, 3, 0, 3, 2, 3, 0, 3, 2, 2, 3, 4, 0, 3, 0, 1, 3, 0, 4, 0, 4, 0, 5, 5, 0, 2, 4, 4, 0, 1, 3, 0, 5, 0, 3, 0, 5, 5, 1, 3, 2, 2, 4, 4, 0, 3, 1, 3, 1, 3, 2, 3, 1, 1, 3, 5, 0, 2, 4, 4, 0, 1, 5, 5, 0, 3, 0, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 1, 3, 1, 3, 0, 3, 2, 3, 1, 1, 3, 4, 2, 2, 3, 5, 0, 3, 1, 3, 2, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 4, 0, 5, 5, 1, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 4, 0, 4, 0, 5, 5, 0, 2, 3, 4, 0, 1, 3, 0, 5, 0, 3, 0, 5, 5, 1, 3, 2, 2, 3, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 2, 2, 3, 5, 1, 1, 3, 0, 4, 0, 5, 5, 1, 3, 2, 2, 3, 4, 0, 3, 1, 3, 1, 3, 0, 3, 2, 3, 1, 1, 3, 4, 2, 2, 3, 5, 0, 3, 1, 3, 2, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 2, 2, 3, 5, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 4, 0, 2, 3, 0, 3, 5, 0, 3, 2, 3, 2, 3, 1, 1, 3, 4, 0, 2, 3, 5, 0, 3, 1, 3, 0, 3, 1, 1, 5, 0, 4, 4, 2, 2, 3, 0, 5, 0, 5, 0, 4, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 4, 0, 5, 5, 1, 3, 2, 2, 3, 4, 0, 3, 1, 3, 1, 3, 0, 3, 2, 3, 1, 1, 3, 4, 0, 2, 3, 5, 0, 3, 1, 3, 2, 3, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 4, 0, 5, 5, 1, 3, 2, 2, 4, 4, 0, 3, 0, 1, 3, 0, 4, 0, 4, 0, 5, 5, 0, 2, 3, 4, 0, 1, 3, 0, 5, 0, 3, 0, 5, 5, 1, 3, 2, 2, 3, 4, 0, 3, 0, 1, 3, 0, 3, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 4, 2, 2, 3, 0, 5, 0, 5, 0, 3, 0, 4, 0, 5, 5, 0, 2, 4, 4, 0, 1, 3, 0, 5, 0, 4, 0, 4, 0, 3, 0, 4, 4, 0, 2, 3, 0, 5, 0, 5, 0, 4, 0, 5, 5, 0, 1, 3, 4, 0, 2, 3, 5, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 0] [0, 3, 5, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 5, 2, 4, 1, 3, 3, 3, 3, 3, 4, 2, 3, 5, 0, 0, 1, 5, 2, 4, 1, 5, 0, 0, 1, 3, 4, 2, 3, 5, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 1, 3, 4, 2, 3, 5, 0, 0, 1, 5, 2, 4, 1, 5, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 1, 5, 2, 4, 1, 5, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 3, 5, 2, 4, 1, 3, 3, 3, 5, 0, 2, 4, 0, 0, 0, 0, 1, 5, 2, 4, 1, 5, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 5, 0, 2, 4, 0, 1, 3, 3, 3, 5, 2, 4, 1, 3, 3, 3, 5, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 5, 0, 2, 4, 0, 0, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 3, 3, 4, 2, 3, 5, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 1, 3, 4, 2, 3, 3, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 5, 0, 2, 4, 0, 0, 0, 0, 0, 1, 4, 2, 5, 0, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 5, 0, 2, 4, 0, 1, 3, 3, 3, 5, 2, 4, 1, 3, 3, 3, 5, 0, 2, 4, 0, 1, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 5, 2, 4, 1, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 5, 1, 4, 2, 5, 1, 3, 3, 3, 3, 1] [1, 1, 5, 4, 5, 5, 3, 0, 4, 5, 1, 2, 0, 5, 0, 4, 0, 3, 1, 2, 1, 1, 0, 3, 2, 0, 2, 2, 1, 0, 3, 0, 3, 1, 2, 0, 1, 1, 0, 3, 2, 1, 5, 4, 3, 1, 3, 2, 3, 0, 5, 3, 3, 0, 0, 3, 2, 1, 5, 3, 5, 3, 0, 4, 0, 5, 4, 4, 3, 0, 0, 4, 2, 1, 5, 4, 3, 1, 3, 2, 3, 0, 5, 4, 5, 5, 3, 0, 4, 3, 4, 4, 5, 3, 0, 3, 0, 5, 4, 3, 5, 5, 3, 2, 4, 3, 4, 3, 3, 1, 3, 2, 3, 0, 5, 4, 5, 5, 3, 2, 4, 5, 1, 0, 1, 0, 3, 0, 3, 1, 2, 2, 0, 3, 3, 0, 4, 3, 4, 3, 3, 1, 3, 0, 3, 0, 5, 4, 5, 5, 3, 0, 4, 3, 4, 4, 5, 3, 0, 3, 0, 5, 4, 3, 5, 5, 3, 0, 4, 5, 1, 2, 0, 5, 0, 4, 0, 3, 1, 0, 0, 3, 3, 0, 4, 5, 1, 0, 1, 0, 3, 2, 3, 1, 2, 2, 0, 3, 3, 2, 4, 5, 1, 2, 0, 5, 0, 3, 0, 3, 1, 0, 0, 3, 3, 2, 4, 3, 4, 4, 5, 3, 0, 3, 0, 5, 4, 3, 5, 5, 3, 0, 4, 5, 1, 2, 0, 5, 0, 3, 0, 3, 1, 2, 1, 1, 0, 4, 2, 1, 5, 3, 5, 3, 0, 4, 0, 5, 4, 4, 3, 0, 0, 3, 2, 0, 2, 0, 0, 5, 0, 4, 0, 3, 1, 0, 0, 3, 3, 2, 4, 3, 4, 4, 5, 3, 0, 4, 0, 5, 4, 3, 5, 5, 3, 0, 4, 5, 1, 2, 0, 5, 0, 4, 0, 3, 1, 0, 0, 3, 3, 0, 4, 5, 1, 0, 1, 0, 3, 2, 3, 1, 2, 2, 0, 3, 3, 2, 4, 5, 1, 2, 0, 5, 0, 4, 0, 3, 1, 2, 1, 1, 0, 3, 2, 0, 2, 2, 1, 0, 3, 0, 3, 1, 2, 0, 1, 1, 0, 4, 2, 0, 2, 0, 0, 5, 0, 4, 0, 3, 1, 2, 1, 1, 0] [1, 0, 5, 3, 3, 3, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 5, 2, 4, 1, 0, 0, 0, 0, 0, 4, 2, 0, 5, 3, 3, 1, 5, 2, 4, 1, 5, 3, 3, 1, 0, 4, 2, 0, 5, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 1, 0, 4, 2, 0, 5, 3, 3, 1, 5, 2, 4, 1, 5, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 1, 5, 2, 4, 1, 5, 3, 3, 3, 3, 2, 4, 3, 1, 0, 0, 0, 5, 2, 4, 1, 0, 0, 0, 5, 3, 2, 4, 3, 3, 3, 3, 1, 5, 2, 4, 1, 5, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 3, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 5, 3, 2, 4, 3, 1, 0, 0, 0, 5, 2, 4, 1, 0, 0, 0, 5, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 5, 3, 2, 4, 3, 3, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 3, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 0, 0, 4, 2, 0, 5, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 1, 0, 4, 2, 0, 0, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 5, 3, 2, 4, 3, 3, 3, 3, 3, 1, 4, 2, 5, 3, 3, 3, 3, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 5, 3, 2, 4, 3, 1, 0, 0, 0, 5, 2, 4, 1, 0, 0, 0, 5, 3, 2, 4, 3, 1, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 5, 2, 4, 1, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 5, 1, 4, 2, 5, 1, 0, 0, 0, 0, 0] [4, 3, 0, 0, 2, 0, 2, 4, 0, 0, 3, 3, 5, 0, 3, 0, 3, 1, 3, 3, 4, 3, 4, 2, 3, 5, 5, 3, 4, 5, 0, 4, 0, 3, 5, 4, 4, 3, 4, 2, 3, 3, 0, 0, 1, 3, 0, 3, 0, 5, 0, 2, 1, 5, 4, 2, 3, 3, 0, 2, 2, 1, 3, 0, 3, 0, 1, 0, 1, 5, 4, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 5, 0, 0, 2, 0, 2, 4, 0, 1, 1, 0, 2, 1, 3, 2, 3, 0, 1, 2, 2, 0, 2, 3, 0, 1, 1, 2, 1, 3, 0, 3, 0, 5, 0, 0, 2, 0, 2, 3, 0, 0, 3, 4, 4, 5, 0, 4, 0, 3, 5, 3, 5, 1, 2, 4, 0, 1, 1, 2, 1, 3, 0, 4, 0, 5, 0, 0, 2, 0, 2, 4, 0, 1, 1, 0, 2, 1, 3, 2, 3, 0, 1, 2, 2, 0, 2, 4, 0, 0, 3, 3, 5, 0, 3, 0, 3, 1, 3, 4, 5, 1, 2, 4, 0, 0, 3, 4, 4, 5, 0, 3, 0, 3, 5, 3, 5, 1, 2, 3, 0, 0, 3, 3, 5, 0, 3, 2, 3, 1, 3, 4, 5, 1, 2, 3, 0, 1, 1, 0, 2, 1, 3, 2, 3, 0, 1, 2, 2, 0, 2, 4, 0, 0, 3, 3, 5, 0, 3, 2, 3, 1, 3, 3, 4, 3, 4, 0, 3, 3, 0, 2, 2, 1, 3, 0, 3, 0, 1, 0, 1, 5, 4, 2, 3, 5, 5, 4, 5, 0, 3, 0, 3, 1, 3, 4, 5, 1, 2, 3, 0, 1, 1, 0, 2, 1, 3, 0, 3, 0, 1, 2, 2, 0, 2, 4, 0, 0, 3, 3, 5, 0, 3, 0, 3, 1, 3, 4, 5, 1, 2, 4, 0, 0, 3, 4, 4, 5, 0, 3, 0, 3, 5, 3, 5, 1, 2, 3, 0, 0, 3, 3, 5, 0, 3, 0, 3, 1, 3, 3, 4, 3, 4, 2, 3, 5, 5, 3, 4, 5, 0, 4, 0, 3, 5, 4, 4, 3, 4, 0, 3, 5, 5, 4, 5, 0, 3, 0, 3, 1, 3, 3, 4, 3, 4] [0, 5, 0, 0, 4, 1, 3, 1, 2, 1, 3, 3, 2, 3, 3, 5, 4, 3, 3, 3, 2, 5, 0, 5, 4, 5, 0, 3, 2, 5, 0, 1, 2, 0, 0, 3, 2, 5, 0, 5, 4, 5, 0, 0, 4, 0, 0, 1, 2, 0, 0, 0, 4, 0, 0, 5, 4, 5, 0, 0, 4, 1, 3, 5, 4, 3, 3, 0, 4, 0, 0, 5, 4, 5, 0, 0, 4, 0, 0, 1, 2, 0, 0, 0, 4, 1, 3, 1, 2, 1, 3, 0, 4, 1, 3, 5, 4, 3, 3, 0, 4, 1, 3, 1, 2, 1, 3, 0, 4, 0, 0, 1, 2, 0, 0, 0, 4, 1, 3, 1, 2, 1, 3, 3, 2, 5, 0, 1, 2, 0, 0, 3, 2, 3, 3, 1, 2, 1, 3, 0, 4, 0, 0, 1, 2, 0, 0, 0, 4, 1, 3, 1, 2, 1, 3, 0, 4, 1, 3, 5, 4, 3, 3, 0, 4, 1, 3, 1, 2, 1, 3, 3, 2, 3, 3, 5, 4, 3, 3, 3, 2, 3, 3, 1, 2, 1, 3, 3] [3, 0, 0, 2, 0, 3, 5, 4, 5, 3, 3, 4, 3, 3, 3, 2, 1, 3, 3, 4, 3, 0, 1, 2, 1, 0, 1, 4, 3, 0, 0, 4, 5, 0, 1, 4, 3, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 4, 5, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 3, 3, 2, 1, 3, 5, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 4, 5, 0, 0, 2, 0, 3, 5, 4, 5, 3, 5, 2, 0, 3, 3, 2, 1, 3, 5, 2, 0, 3, 5, 4, 5, 3, 5, 2, 0, 0, 0, 4, 5, 0, 0, 2, 0, 3, 5, 4, 5, 3, 3, 4, 3, 0, 0, 4, 5, 0, 1, 4, 3, 3, 5, 4, 5, 3, 5, 2, 0, 0, 0, 4, 5, 0, 0, 2, 0, 3, 5, 4, 5, 3, 5, 2, 0, 3, 3, 2, 1, 3, 5, 2, 0, 3, 5, 4, 5, 3, 3, 4, 3, 3, 3, 2, 1, 3, 3, 4, 3, 3, 5, 4, 5, 3, 3, 1] [1, 5, 5, 3, 4, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 0, 2, 5, 3, 3, 3, 5, 3, 0, 2, 5, 5, 0, 0, 4, 3, 0, 2, 5, 3, 3, 3, 5, 5, 3, 4, 4, 5, 0, 0, 4, 5, 3, 4, 4, 3, 3, 3, 5, 5, 3, 4, 1, 1, 3, 3, 2, 0, 3, 4, 4, 3, 3, 3, 5, 5, 3, 4, 4, 5, 0, 0, 4, 5, 3, 4, 1, 0, 0, 0, 1, 0, 3, 4, 1, 1, 3, 3, 2, 0, 3, 4, 1, 0, 0, 0, 1, 0, 3, 4, 4, 5, 0, 0, 4, 5, 3, 4, 1, 0, 0, 0, 1, 1, 0, 2, 5, 5, 0, 0, 4, 3, 0, 2, 2, 0, 0, 0, 1, 0, 3, 4, 4, 5, 0, 0, 4, 5, 3, 4, 1, 0, 0, 0, 1, 0, 3, 4, 1, 1, 3, 3, 2, 0, 3, 4, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0] [1, 4, 5, 0, 5, 2, 5, 4, 3, 2, 1, 3, 0, 2, 0, 0, 1, 0, 1, 3, 1, 4, 1, 2, 0, 3, 0, 3, 1, 3, 3, 4, 5, 4, 0, 4, 1, 4, 1, 2, 0, 4, 5, 0, 3, 4, 3, 3, 5, 3, 5, 2, 3, 3, 1, 2, 0, 4, 5, 2, 5, 0, 0, 0, 1, 2, 3, 0, 3, 3, 1, 0, 0, 4, 5, 0, 3, 4, 3, 3, 5, 3, 5, 0, 5, 2, 5, 4, 3, 0, 3, 0, 5, 0, 0, 2, 1, 2, 3, 2, 5, 2, 5, 3, 3, 0, 3, 2, 3, 4, 3, 3, 5, 3, 5, 0, 5, 2, 5, 3, 3, 2, 1, 4, 1, 3, 3, 4, 5, 4, 0, 3, 0, 0, 5, 4, 3, 0, 3, 2, 3, 4, 3, 4, 5, 3, 5, 0, 5, 2, 5, 4, 3, 0, 3, 0, 5, 0, 0, 2, 1, 2, 3, 2, 5, 2, 5, 4, 3, 2, 1, 3, 0, 2, 0, 0, 1, 0, 1, 4, 0, 0, 5, 4, 3, 2, 1] [1, 5, 3, 3, 4, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 5, 4, 0, 0, 0, 2, 5, 3, 5, 4, 5, 3, 0, 2, 5, 3, 1, 2, 3, 3, 0, 2, 5, 3, 5, 4, 5, 3, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 3, 4, 1, 0, 5, 4, 0, 0, 3, 4, 3, 3, 5, 4, 5, 3, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 1, 0, 1, 2, 1, 0, 3, 4, 1, 0, 5, 4, 0, 0, 3, 4, 1, 0, 1, 2, 1, 0, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 1, 0, 1, 2, 1, 0, 0, 2, 5, 3, 1, 2, 3, 3, 0, 2, 0, 0, 1, 2, 1, 0, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 1, 0, 1, 2, 1, 0, 3, 4, 1, 0, 5, 4, 0, 0, 3, 4, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 5, 4, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0] [0, 3, 3, 2, 3, 0, 5, 4, 5, 0, 0, 4, 0, 0, 0, 2, 1, 0, 0, 4, 0, 3, 1, 2, 1, 3, 1, 4, 0, 3, 3, 4, 5, 3, 1, 4, 0, 3, 1, 2, 1, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 3, 1, 2, 1, 3, 3, 2, 3, 0, 0, 2, 1, 0, 5, 2, 3, 3, 1, 2, 1, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 0, 5, 4, 5, 0, 5, 2, 3, 0, 0, 2, 1, 0, 5, 2, 3, 0, 5, 4, 5, 0, 5, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 0, 5, 4, 5, 0, 0, 4, 0, 3, 3, 4, 5, 3, 1, 4, 0, 0, 5, 4, 5, 0, 5, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 0, 5, 4, 5, 0, 5, 2, 3, 0, 0, 2, 1, 0, 5, 2, 3, 0, 5, 4, 5, 0, 0, 4, 0, 0, 0, 2, 1, 0, 0, 4, 0, 0, 5, 4, 5, 0, 0, 0] [4, 0, 2, 2, 0, 3, 5, 3, 3, 3, 4, 4, 3, 5, 4, 0, 0, 5, 4, 4, 3, 0, 1, 0, 0, 0, 1, 4, 3, 0, 2, 3, 3, 1, 1, 4, 3, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 3, 3, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 4, 0, 0, 5, 5, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 3, 3, 1, 2, 2, 0, 3, 5, 3, 3, 3, 5, 2, 0, 3, 4, 0, 0, 5, 5, 2, 0, 3, 5, 3, 3, 3, 5, 2, 0, 1, 2, 3, 3, 1, 2, 2, 0, 3, 5, 3, 3, 3, 4, 4, 3, 0, 2, 3, 3, 1, 1, 4, 3, 5, 5, 3, 3, 3, 5, 2, 0, 1, 2, 3, 3, 1, 2, 2, 0, 3, 5, 3, 3, 3, 5, 2, 0, 3, 4, 0, 0, 5, 5, 2, 0, 3, 5, 3, 3, 3, 4, 4, 3, 5, 4, 0, 0, 5, 4, 4, 3, 5, 5, 3, 3, 3, 4, 4] [3, 0, 0, 4, 0, 3, 0, 0, 1, 3, 3, 2, 5, 3, 5, 4, 3, 4, 3, 2, 3, 0, 3, 3, 5, 2, 5, 2, 3, 2, 1, 0, 0, 0, 5, 0, 3, 0, 3, 3, 5, 0, 0, 4, 1, 0, 1, 2, 0, 2, 0, 3, 1, 2, 3, 3, 5, 0, 0, 3, 0, 4, 5, 4, 3, 3, 1, 4, 1, 2, 3, 4, 5, 0, 0, 4, 1, 0, 1, 2, 0, 2, 0, 4, 0, 3, 0, 0, 1, 4, 1, 4, 0, 4, 5, 3, 3, 3, 1, 3, 0, 3, 0, 2, 1, 4, 1, 3, 1, 0, 1, 2, 0, 2, 0, 4, 0, 3, 0, 2, 1, 3, 3, 0, 3, 2, 1, 0, 0, 0, 5, 2, 5, 4, 0, 0, 1, 4, 1, 3, 1, 0, 1, 0, 0, 2, 0, 4, 0, 3, 0, 0, 1, 4, 1, 4, 0, 4, 5, 3, 3, 3, 1, 3, 0, 3, 0, 0, 1, 3, 3, 2, 5, 3, 5, 4, 3, 4, 3, 0, 5, 4, 0, 0, 1, 3, 3] [0, 0, 4, 3, 2, 3, 2, 3, 4, 3, 2, 0, 4, 0, 2, 0, 2, 0, 2, 0, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 4, 3, 4, 3, 4, 0, 4, 0, 4, 0, 2, 0, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 3, 4, 0, 2, 0, 4, 3, 2, 3, 2, 0, 2, 0, 2, 3, 2, 3, 4, 0, 2, 0, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 4, 3, 2, 3, 2, 3] [5, 0, 1, 1, 1, 3, 3, 5, 3, 3, 5, 5, 5, 3, 5, 1, 0, 3, 5, 5, 5, 0, 0, 1, 0, 0, 0, 5, 5, 0, 1, 5, 3, 0, 0, 5, 5, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 5, 3, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 3, 5, 1, 0, 3, 3, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 5, 3, 0, 1, 1, 1, 3, 3, 5, 3, 3, 3, 1, 1, 3] [3, 0, 0, 5, 5, 3, 3, 3, 1, 3, 3, 1, 1, 1, 3, 0, 5, 1, 3, 1, 1, 0, 0, 0, 5, 0, 0, 1, 1, 0, 0, 3, 1, 5, 0, 1, 1, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 3, 1, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 3, 3, 0, 5, 1, 3, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 3, 1, 5, 0, 5, 5, 3, 3, 3, 1, 3, 3, 5, 5, 3] [0, 2, 3, 4, 3, 4, 3, 2, 3, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 2, 0, 2, 0, 4, 0, 2, 0, 2, 0, 2, 3, 2, 3, 2, 0, 2, 0, 2, 0, 4, 0, 2, 3, 4, 3, 2, 3, 2, 3, 2, 3, 4, 3, 2, 0, 4, 0, 2, 3, 4, 3, 4, 0, 4, 0, 4, 3, 4, 3, 2, 0, 4, 0, 2, 3, 4, 3, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 3, 1] [1, 5, 4, 0, 0, 1, 2, 1, 3, 1, 2, 3, 3, 3, 2, 5, 0, 3, 2, 3, 3, 5, 4, 5, 0, 5, 4, 3, 3, 5, 4, 1, 3, 0, 4, 3, 3, 5, 4, 5, 0, 5, 4, 0, 0, 0, 4, 1, 3, 0, 4, 0, 0, 0, 4, 5, 0, 5, 4, 0, 0, 1, 2, 5, 0, 3, 2, 0, 0, 0, 4, 5, 0, 5, 4, 0, 0, 0, 4, 1, 3, 0, 4, 0, 0, 1, 2, 1, 3, 1, 2, 0, 0, 1] [5, 3, 1, 0, 1, 0, 2, 3, 2, 0, 5, 3, 5, 0, 5, 0, 4, 0, 5, 3, 5, 3, 4, 0, 4, 3, 4, 3, 5, 3, 1, 3, 2, 3, 4, 3, 5, 3, 4, 0, 4, 3, 1, 0, 1, 3, 1, 3, 2, 3, 1, 0, 1, 3, 4, 0, 4, 3, 1, 0, 1, 0, 5, 0, 4, 0, 2, 0, 1, 3, 4, 0, 4, 3, 1, 0, 1, 3, 1, 3, 2, 3, 1, 0, 1, 0, 2, 3, 2, 0, 2, 0, 1, 0] [1, 5, 5, 5, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 5, 0, 1, 1, 0, 5, 3, 3, 5, 5, 3, 1, 0, 5, 5, 0, 1, 3, 3, 1, 0, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 0, 1, 3, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 3, 1, 1, 3, 5, 0, 0, 5, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 0, 1, 3, 5, 5, 3, 1, 0, 0, 1, 1, 0, 5, 3, 1] [4, 0, 2, 4, 2, 3, 2, 0, 0, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 2, 4, 0, 4, 3, 3, 2, 3, 2, 4, 2, 0, 0, 2, 0, 3, 0, 4, 0, 4, 3, 3, 0, 2, 4, 0, 0, 0, 2, 2, 2, 2, 3, 0, 2, 4, 3, 3, 0, 2, 3, 2, 4, 3, 4, 4, 3, 0, 4, 0, 2, 4, 4, 3, 0, 2, 4, 0, 0, 0, 2, 2, 2, 2, 4, 2, 3, 2, 0, 0, 4, 0, 4, 2] [1, 3, 4, 0, 2, 0, 2, 0, 4, 0, 2, 3, 4, 3, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 3, 4, 0, 4, 0, 4, 3, 4, 3, 4, 3, 2, 3, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 2, 0, 4, 3, 2, 3, 4, 0, 2, 0, 2, 3, 2, 3, 2, 0, 2, 0, 4, 3, 2, 3, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 2, 0, 2, 0, 4, 0, 2, 0, 2, 0] [5, 3, 1, 1, 1, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 1, 3, 0, 5, 5, 5, 3, 3, 1, 3, 3, 3, 5, 5, 3, 1, 5, 0, 3, 3, 5, 5, 3, 3, 1, 3, 3, 1, 1, 1, 3, 1, 5, 0, 3, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 0, 5, 1, 3, 0, 0, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 3, 1, 5, 0, 3, 1, 1, 1, 0, 0, 5, 0, 0, 0, 1, 1, 0] [0, 3, 3, 5, 5, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 3, 5, 1, 0, 1, 1, 3, 3, 3, 5, 3, 3, 1, 1, 3, 3, 0, 1, 5, 3, 1, 1, 3, 3, 3, 5, 3, 3, 5, 5, 5, 3, 0, 1, 5, 3, 5, 5, 5, 3, 3, 5, 3, 3, 5, 5, 0, 0, 3, 5, 1, 0, 5, 5, 5, 3, 3, 5, 3, 3, 5, 5, 5, 3, 0, 1, 5, 3, 5, 5, 0, 0, 0, 1, 0, 0, 5, 5, 0] [3, 2, 0, 4, 0, 4, 0, 2, 0, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 4, 3, 2, 3, 2, 3, 2, 0, 2, 0, 2, 3, 2, 3, 2, 3, 4, 3, 2, 0, 4, 0, 2, 0, 2, 0, 2, 0, 4, 0, 2, 3, 4, 3, 2, 0, 4, 0, 4, 3, 4, 3, 4, 0, 4, 0, 2, 3, 4, 3, 2, 0, 4, 0, 2, 0, 2, 0, 2, 0, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 0] [4, 2, 0, 5, 3, 4, 3, 4, 0, 4, 3, 1, 0, 1, 3, 2, 3, 1, 3, 1, 0, 2, 0, 2, 3, 2, 0, 1, 0, 2, 0, 4, 0, 5, 0, 1, 0, 2, 0, 2, 3, 2, 0, 5, 3, 5, 0, 4, 0, 5, 0, 5, 3, 5, 0, 2, 3, 2, 0, 5, 3, 4, 3, 2, 3, 1, 3, 5, 3, 5, 0, 2, 3, 2, 0, 5, 3, 5, 0, 4, 0, 5, 0, 5, 3, 4, 3, 4, 0, 4, 3, 5, 3, 4] [0, 2, 3, 3, 3, 4, 5, 0, 5, 4, 0, 0, 0, 4, 0, 3, 1, 4, 0, 0, 0, 2, 1, 3, 1, 2, 1, 0, 0, 2, 3, 0, 5, 2, 1, 0, 0, 2, 1, 3, 1, 2, 3, 3, 3, 2, 3, 0, 5, 2, 3, 3, 3, 2, 1, 3, 1, 2, 3, 3, 3, 4, 0, 3, 1, 4, 5, 3, 3, 2, 1, 3, 1, 2, 3, 3, 3, 2, 3, 0, 5, 2, 3, 3, 3, 4, 5, 0, 5, 4, 5, 3, 3, 4] [3, 0, 0, 0, 1, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 1, 0, 5, 3, 3, 5, 0, 1, 1, 0, 0, 1, 3, 5, 0, 0, 5, 3, 1, 1, 3, 5, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 5, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 3, 1, 0, 5, 5, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 5, 3, 1, 0, 0, 1, 3, 5, 5, 3, 3, 5, 0, 1, 3] [0, 4, 3, 0, 3, 2, 3, 4, 4, 2, 0, 3, 2, 2, 2, 0, 0, 0, 0, 3, 0, 4, 0, 2, 2, 3, 2, 3, 0, 3, 4, 4, 3, 4, 2, 4, 0, 4, 0, 2, 2, 4, 3, 0, 4, 4, 4, 3, 3, 3, 3, 2, 4, 3, 0, 2, 2, 4, 3, 2, 3, 0, 2, 0, 0, 2, 4, 0, 4, 3, 0, 0, 2, 4, 3, 0, 4, 4, 4, 3, 3, 3, 3, 0, 3, 2, 3, 4, 4, 0, 4, 0, 3] [0, 4, 2, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 2, 4, 2, 4, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2] [0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3] [5, 1, 1, 3, 3, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 1, 3, 0, 5, 0, 0, 1, 1, 1, 3, 1, 1, 0, 0, 1, 1, 5, 0, 3, 1, 0, 0, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1] [0, 1, 3, 5, 3, 5, 3, 1, 3, 5, 0, 1, 0, 5, 0, 5, 0, 5, 0, 1, 0, 1, 0, 5, 0, 1, 0, 1, 0, 1, 3, 1, 3, 1, 0, 1, 0, 1, 0, 5, 0, 1, 3, 5, 3, 1, 3] [3, 0, 5, 3, 1, 3, 1, 3, 5, 3, 1, 0, 5, 0, 1, 0, 1, 0, 1, 0, 5, 0, 5, 0, 1, 0, 5, 0, 5, 0, 5, 3, 5, 3, 5, 0, 5, 0, 5, 0, 1, 0, 5, 3, 1, 3, 5] [0, 5, 3, 3, 3, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 3, 5, 1, 0, 0, 0, 5, 5, 3, 5, 5, 5, 0, 0, 5, 3, 0, 1, 5, 5, 0, 0, 5, 5, 3, 5, 5, 3, 3, 3, 5, 3] [2, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 2, 2, 4, 2, 4, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 4, 1] [1, 4, 0, 2, 3, 2, 3, 2, 0, 2, 3, 4, 0, 4, 3, 4, 3, 4, 3, 4, 0, 4, 0, 4, 3, 4, 0, 4, 0, 4, 0, 2, 0, 2, 0, 4, 0, 4, 0, 4, 3, 4, 0, 2, 3, 2, 0] [5, 1, 1, 2, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 1, 2, 4, 5, 4, 4, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 5, 4, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1] [3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0] [1, 5, 3, 0, 1, 1, 0, 1, 5, 1, 0, 3, 5, 3, 0, 5, 1, 3, 0, 3, 5, 5, 3, 5, 1, 5, 3, 3, 5, 5, 3, 1, 5, 0, 3, 3, 5, 5, 3, 5, 1, 5, 3, 0, 1, 0, 3] [5, 5, 1, 0, 1, 1, 0, 3, 0, 1, 5, 3, 5, 1, 5, 0, 3, 1, 5, 3, 5, 5, 3, 0, 3, 5, 3, 3, 5, 5, 1, 3, 0, 5, 3, 3, 5, 5, 3, 0, 3, 5, 1, 0, 1, 5, 1] [4, 2, 2, 2, 0, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 0, 2, 3, 4, 4, 3, 2, 0, 0, 2, 2, 0, 4, 3, 2, 2, 3, 4, 0, 0, 4, 3, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2] [1, 4, 2, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 2, 4, 2, 4, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2] [3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] [5, 1, 1, 0, 0, 5, 5, 5, 3, 5, 5, 3, 3, 3, 5, 1, 0, 3, 5, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 5, 3, 0, 1, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1] [3, 1, 0, 5, 0, 5, 0, 1, 0, 5, 3, 1, 3, 5, 3, 5, 3, 5, 3, 1, 3, 1, 3, 5, 3, 1, 3, 1, 3, 1, 0, 1, 0, 1, 3, 1, 3, 1, 3, 5, 3, 1, 0, 5, 0, 1, 0] [0, 3, 5, 0, 1, 0, 1, 0, 5, 0, 1, 3, 5, 3, 1, 3, 1, 3, 1, 3, 5, 3, 5, 3, 1, 3, 5, 3, 5, 3, 5, 0, 5, 0, 5, 3, 5, 3, 5, 3, 1, 3, 5, 0, 1, 0, 5] [3, 5, 0, 0, 0, 1, 1, 3, 1, 1, 3, 3, 3, 1, 3, 0, 5, 1, 3, 3, 3, 5, 5, 0, 5, 5, 5, 3, 3, 5, 0, 3, 1, 5, 5, 3, 3, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0] [2, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 2, 2, 4, 2, 4, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 4, 0] [4, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3] [2, 5, 4, 4, 4, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 4, 5, 1, 2, 2, 2, 5, 5, 4, 5, 5, 5, 2, 2, 5, 4, 2, 1, 5, 5, 2, 2, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4] [2, 3, 4, 0, 4, 0, 4, 3, 4, 0, 2, 3, 2, 0, 2, 0, 2, 0, 2, 3, 2, 3, 2, 0, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 0, 2, 3, 4, 0, 4, 3, 4] [3, 0, 1, 5, 3, 3, 5, 3, 0, 3, 5, 1, 0, 1, 5, 0, 3, 1, 5, 1, 0, 0, 1, 0, 3, 0, 1, 1, 0, 0, 1, 3, 0, 5, 1, 1, 0, 0, 1, 0, 3, 0, 1, 5, 3, 5, 1] [0, 0, 3, 5, 3, 3, 5, 1, 5, 3, 0, 1, 0, 3, 0, 5, 1, 3, 0, 1, 0, 0, 1, 5, 1, 0, 1, 1, 0, 0, 3, 1, 5, 0, 1, 1, 0, 0, 1, 5, 1, 0, 3, 5, 3, 0, 3] [0, 3, 3, 3, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 4, 3, 2, 0, 0, 2, 3, 4, 4, 3, 3, 4, 0, 2, 3, 3, 2, 0, 4, 4, 0, 2, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3] [0, 2, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2] [4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 2, 2] [0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3] [3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3] [5, 1, 3, 5, 0, 5, 0, 5, 3, 5, 0, 1, 3, 1, 0, 1, 0, 1, 0, 1, 3, 1, 3, 1] [1, 3, 5, 5, 5, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 5, 3, 0, 1, 1, 1, 3, 3] [1, 5, 5, 1, 5, 1, 5, 5, 5, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 5, 1, 5, 1] [3, 5, 1, 1, 5, 1, 5, 1, 1, 1, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5] [0, 3, 3, 1, 1, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 3, 1, 5, 0, 5, 5, 3, 3, 3] [5, 3, 1, 0, 1, 0, 1, 3, 1, 0, 5, 3, 5, 0, 5, 0, 5, 0, 5, 3, 5, 3, 5] [2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 4, 4, 1] [4, 2, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4] [1, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0] [5, 1, 2, 5, 4, 5, 4, 5, 2, 5, 4, 1, 2, 1, 4, 1, 4, 1, 4, 1, 2, 1, 2, 1] [1, 2, 5, 5, 5, 4, 4, 1, 4, 4, 1, 1, 1, 4, 1, 5, 2, 4, 1, 1, 1, 2, 2] [0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0] [1, 3, 1, 0, 5, 0, 5, 0, 1, 0, 5, 3, 1, 3, 5, 3, 5, 3, 5, 3, 1, 3, 1, 3] [5, 0, 1, 3, 1, 3, 1, 0, 1, 3, 5, 0, 5, 3, 5, 3, 5, 3, 5, 0, 5, 0, 5] [4, 2, 0, 3, 4, 4, 3, 4, 2, 4, 3, 0, 2, 0, 3, 2, 4, 0, 3, 0, 2, 2, 0, 2] [2, 2, 4, 3, 4, 4, 3, 0, 3, 4, 2, 0, 2, 4, 2, 3, 0, 4, 2, 0, 2, 2, 0] [1, 2, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2] [3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0] [0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0] [5, 1, 0, 5, 3, 5, 3, 5, 0, 5, 3, 1, 0, 1, 3, 1, 3, 1, 3, 1, 0, 1, 0, 1] [1, 0, 5, 5, 5, 3, 3, 1, 3, 3, 1, 1, 1, 3, 1, 5, 0, 3, 1, 1, 1, 0, 0] [0, 5, 1, 1, 5, 1, 5, 1, 1, 1, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5] [3, 0, 0, 1, 1, 3, 3, 3, 5, 3, 3, 5, 5, 5, 3, 0, 1, 5, 3, 5, 5, 0, 0, 0] [2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 4, 4, 0] [4, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3] [2, 4, 4, 1, 1, 2, 2, 2, 5, 2, 2, 5, 5, 5, 2, 4, 1, 5, 2, 5, 5, 4, 4, 4] [5, 4, 1, 2, 1, 2, 1, 4, 1, 2, 5, 4, 5, 2, 5, 2, 5, 2, 5, 4, 5, 4, 5] [2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 4, 4, 4] [3, 1, 3, 5, 0, 5, 0, 5, 3, 5, 0, 1, 3, 1, 0, 1, 0, 1, 0, 1, 3, 1, 3, 1] [0, 5, 3, 1, 3, 1, 3, 5, 3, 1, 0, 5, 0, 1, 0, 1, 0, 1, 0, 5, 0, 5, 0] [0, 3, 4, 2, 0, 0, 2, 0, 3, 0, 2, 4, 3, 4, 2, 3, 0, 4, 2, 4, 3, 3, 4, 3] [3, 3, 0, 2, 0, 0, 2, 4, 2, 0, 3, 4, 3, 0, 3, 2, 4, 0, 3, 4, 3, 3, 4] [4, 2, 2, 4, 4, 4, 4, 4, 2, 4, 4, 2] [2, 2, 4, 4, 4, 4, 4, 2, 4, 4, 2] [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3] [5, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3] [1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1] [1, 5, 5, 0, 0, 1, 1, 1, 3, 1, 1, 3] [3, 5, 0, 1, 0, 1, 0, 5, 0, 1, 3] [5, 1, 1, 5, 1, 5, 1, 1, 1, 5, 5] [3, 1, 5, 5, 1, 5, 1, 5, 5, 5, 1, 1] [5, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5] [0, 3, 1, 0, 5, 0, 5, 0, 1, 0, 5, 3] [3, 1, 0, 0, 0, 5, 5, 3, 5, 5, 3, 3] [2, 4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 4] [4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 4, 1] [1, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3] [5, 2, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2] [1, 5, 5, 4, 4, 1, 1, 1, 2, 1, 1, 2] [2, 5, 4, 1, 4, 1, 4, 5, 4, 1, 2] [1, 1, 5, 5, 1, 5, 1, 5, 5, 5, 1, 1] [4, 0, 4, 3, 2, 3, 2, 3, 4, 3, 2, 0] [2, 3, 4, 4, 4, 0, 0, 2, 0, 0, 2, 2] [2, 4, 4, 3, 3, 2, 2, 2, 0, 2, 2, 0] [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0] [5, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0] [1, 5, 5, 3, 3, 1, 1, 1, 0, 1, 1, 0] [0, 1, 5, 5, 1, 5, 1, 5, 5, 5, 1, 1] [3, 0, 1, 3, 5, 3, 5, 3, 1, 3, 5, 0] [0, 1, 3, 3, 3, 5, 5, 0, 5, 5, 0, 0] [4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 4, 0] [2, 4, 1, 2, 5, 2, 5, 2, 1, 2, 5, 4] [4, 1, 2, 2, 2, 5, 5, 4, 5, 5, 4, 4] [4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 4, 4] [3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3] [0, 4, 0, 2, 3, 2, 3, 2, 0, 2, 3, 4] [3, 2, 0, 0, 0, 4, 4, 3, 4, 4, 3, 3] [3, 0, 0, 2, 2, 3, 3, 3, 4, 3, 3, 4] [4, 2, 4, 4, 2, 4] [0, 0, 3, 3, 0, 3] [1, 5, 5, 1, 1, 1] [5, 5, 1, 1, 1, 1] [1, 5, 0, 1, 3, 1] [5, 1, 1, 5, 5, 5] [1, 1, 5, 5, 5, 5] [1, 0, 5, 3, 5, 3] [2, 4, 2, 2, 4, 2] [4, 2, 2, 4, 2, 1] [5, 4, 2, 2, 4, 2] [1, 5, 4, 1, 2, 1] [5, 4, 1, 1, 1, 2] [1, 5, 1, 1, 5, 1] [4, 4, 2, 2, 4, 2] [2, 4, 4, 0, 0, 2] [3, 4, 0, 2, 0, 2] [2, 4, 3, 2, 0, 2] [4, 3, 2, 2, 2, 0] [1, 5, 3, 1, 0, 1] [1, 3, 5, 0, 5, 0] [4, 2, 2, 4, 2, 0] [2, 1, 5, 5, 1, 5] [4, 2, 2, 5, 5, 4] [1, 2, 5, 4, 5, 4] [3, 0, 0, 4, 4, 3] [2, 0, 4, 3, 4, 3] [3, 0, 2, 3, 4, 3] [5, 1, 5] [2, 4, 0] [2, 3, 0] [2, 5, 1] [4, 2, 5] [3, 0, 4] [3, 2, 4] [4, 5] [0, 0, 1, 0, 1, 1, 4, 0, 3, 1, 1, 1, 0, 4, 3, 0, 5, 3, 0, 1, 5, 1, 4, 1, 5, 0, 3, 4, 0, 3, 0, 0, 0, 5, 0, 3, 0, 2, 1, 5, 3, 1, 5, 4, 1, 3, 5, 3, 0, 3, 2, 4, 2, 2, 3, 0, 0, 0, 4, 0, 3, 5, 1, 1, 3, 0, 5, 2, 4, 1, 5, 1, 0, 1, 5, 4, 2, 1, 3, 0, 5, 1, 0, 3, 2, 4, 2, 5, 2, 3, 0, 0, 3, 4, 2, 0, 5, 1, 1, 3, 5, 3, 5, 0, 3, 2, 4, 1, 5, 1, 2, 1, 4, 2, 2, 3, 5, 1, 0, 3, 0, 4, 2, 4, 4, 3, 0, 3, 3, 4, 0, 1, 5, 1, 5, 1, 1, 2, 4, 5, 1, 5, 1, 4, 2, 3, 2, 4, 1, 1, 4, 2, 4, 1, 3, 2, 3, 5, 2, 2, 2, 4, 3, 3, 4] [1, 1, 4, 3, 1, 0, 3, 5, 0, 5, 4, 5, 3, 0, 0, 0, 0, 0, 2, 5, 3, 5, 0, 3, 3, 3, 2, 2, 2, 0, 4, 4, 3, 1, 1, 0, 5, 4, 4, 1, 0, 5, 5, 2, 4, 0, 1, 1, 3, 5, 4, 0, 5, 3, 0, 0, 3, 2, 2, 3, 3, 1, 3, 5, 5, 3, 3, 4, 2, 0, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 1, 0, 5, 0, 4, 3, 4, 4, 4, 1, 5, 3, 3, 2, 2, 3, 3, 5, 5, 5, 1, 1, 1, 3, 1, 4, 4, 3, 2, 5, 5, 1, 0, 3, 4, 0, 0, 5, 1, 0, 1, 4, 4, 1, 4, 3, 4, 2, 0, 2, 0, 5, 5, 5, 1, 1, 0, 4, 2, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 3, 2, 1, 2, 2, 0, 0, 0, 1, 4, 3, 5, 2, 0, 2, 5] here
Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "", line 38, in InferAutomaticity ValueError: [1, 3, 0, 5, 5, 5, 0, 0, 0, 5, 5, 3, 3, 2, 0, 4, 1, 0, 3, 4, 1, 5, 2, 4, 1, 3, 0, 0, 3, 0, 3, 2, 3, 1, 3, 5, 3, 4, 0, 1, 0, 3, 1, 2, 2, 0, 1, 0, 5, 0, 4, 3, 4, 4, 1, 3, 3, 4, 2, 3, 0, 3, 5, 5, 1, 3, 1, 4, 2, 3, 2, 5, 3, 1, 1, 0, 4, 4, 0, 3, 0, 5, 1, 0, 4, 0, 4, 1, 4, 3, 3, 4, 0, 2, 4, 0, 0, 5, 5, 0, 1, 5, 1, 1, 0, 4, 2, 0, 4, 5, 4, 5, 4, 4, 4, 3, 3, 5, 5, 1, 3, 2, 1, 2, 2, 0, 0, 0, 0, 4, 3, 5, 1, 0, 1, 5, 5, 2, 2, 2, 4, 1, 1, 2, 4, 0, 3, 2, 3, 5, 2, 5, 2, 5, 0, 4, 2, 5, 0, 0, 1, 5, 4, 4, 3] is not in list
hankel_dets = [1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2]
[ker,states,codes,infls]=InferAutomaticity(hankel_dets, 2)
[1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2] [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2] [2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1] [2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2] [2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1] [1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1] [1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2] [2, 1, 2, 2, 1, 2, 1] [1, 2, 2, 2, 2, 1] [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1] [2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2] [2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2] [2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2] [1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2] [2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1] here
Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "", line 38, in InferAutomaticity ValueError: [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2] is not in list