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Created June 11, 2012 19:00
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convert a stream of uniform random binary digits into a stream of uniform random base-n digits
Raw
README.md
Raw
basestream.py
import sys
from itertools import count,islice
from random import randint
from math import sqrt #needed for standard deviation calculation, not for the number stream, before you get worried
def debug(t):
return #comment this line out if you want the running of the algorithm to be narrated
print(t)
#take n values from generator gen
def take(gen,n):
return list(islice(gen,n))
#generate the bases for the accumulators
#yields tuples (b,k), where the base of the accumulator is b**k
#so we need to accumulate k base-b digits before we can yield something
def make_accsgen(n):
b=2
k=1
c=b
accs = []
while b>1:
while c<n:
k+=1
c*=b
yield (b,k)
b = c-n
k=1
c=b
#infinite stream of binary digits
binstream = (randint(0,1) for x in count())
#multiply out digits in given base to an integer
def prod(digits,base):
n=0
for digit in digits:
n*=base
n+=digit
return n
#generates a uniform random stream of digits in given base
def uniformstream(base,binstream=binstream):
accsgen = make_accsgen(base) #genrator for accumulators
b2,k2 = next(accsgen) #b2 is always 2. k2 is least number such that 2**k2>=
accbases=[] #this will store bases and numbers of digits for the accumulators
accs=[] #list of lists of digits for each accumulator
while True:
n=0
for i in range(k2): #take k2 binary digits
n*=2
try:
n+=next(binstream)
except StopIteration:
raise
debug('picked %i from binary stream' % n)
b,k=b2,k2
#the idea:
#got a stream of base-b digits, want to convert to a stream of base-c digits
#pick least number b^k which is greater than c
#generate numbers in range 0..b^k-1
#if generated number is less than c, keep it
#otherwise, throw it away
#but don't throw it away!
#keep it, and use it to start a stream of base (b^k-c) digits
#and do the same thing with that stream
while n>=base:
debug('n too big: %i' % n)
n -= base
debug('n := %i' %n)
if i==len(accs):
try:
accs.append([])
accbases.append(next(accsgen))
except StopIteration:
accbases.append((base+1,1))
n=-1
debug('too big')
break
debug('need another accumulator: %i**%i' % accbases[-1])
b,k = accbases[i]
if b**k==base+1: #if the base of this accumulator is just one more than the base we want, we can't do anything with the remainder so have to throw this number away
debug('whoops')
n=-1
break
accs[i].append(n)
debug('base %i accumulator: %s' % (b**k,accs[i]))
if len(accs[i])==k:
n=prod(accs[i],b)
accs[i]=[]
debug('accumulator yielded %i' % n)
else:
n=-1
i+=1
if n>=0:
debug('YIELD %i' % n)
yield n
if __name__ == '__main__':
#DEMO!
n=int(sys.argv[1])
print('generating numbers base %i' % n)
s=uniformstream(n) #create stream generator
print('10 samples: %s' % take(s,10))
freq = [0 for i in range(n)]
samples = 10000
print('Now generating %i samples' % samples)
for i in take(s,samples):
freq[i]+=1
#display frequency table
for i,f in zip(range(n),freq):
print('%i occurred %i times' % (i,f))
#calculate summary statistics of frequency counts
#if sample mean == samples/n, then generator is uniform
mean = sum([i*x for i,x in zip(count(),freq)])/samples
print('mean: %f (should be %f)' % (mean,(n-1)/2))
stddev = sqrt(sum([freq[x]*(x-mean)**2/samples for x in range(0,n)]))
print('standard dev: %f' % stddev)
Raw
jcoglan.txt
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
10
9,1,4,6,2,3,1,5,0,3,4,9,0,1,4,6,4,9,4,9,5,7,7,7,8,4,1,7,3,2,9,8,9,5,3,1,0,5,7,7,8,0,5,5,2,5,8,3,9,8,7,0,2,7,3,8,6,2,4,7,0,2,0,8,9,7,6,6,1,1,0,5,5,2,0,7,7,1,8,7,8,7,7,0,5,2,5,8,6,9,7,8,5,4,4,9,4,0,1,0,4,9,6,2,3,2,7,7,9,6,2,6,9,8,4,0,2,5,2,1,4,3,8,0,2,6,1,1,8,4,3,8,7,1,4,3,6,9,1,0,4,9,9,4,9,8,5,6,1,1,1,4,4,3,2,2,1,7,4,1,2,8,1,2,9,6,5,8,2,5,6,4,5,3,9,8,0,9,8,3,8,4,9,8,1,1,3,7,0,3,5,4,1,0,1,5,2,0,6,9,3,2,9,6,8,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
11
9,1,4,6,2,3,1,5,0,3,4,9,0,1,4,6,4,9,4,9,5,7,7,7,8,4,1,7,5,2,9,8,9,7,3,10,1,0,7,10,7,8,0,5,2,5,8,9,8,10,7,0,2,7,3,8,2,8,4,7,10,10,2,0,8,9,7,8,6,1,1,0,5,5,2,0,7,7,1,10,3,7,7,7,6,0,7,2,5,8,6,8,7,8,5,10,8,4,10,9,4,10,1,0,10,9,6,2,3,2,4,7,7,1,6,2,6,9,10,4,0,2,5,2,1,4,3,8,0,2,10,0,1,8,4,10,3,8,1,10,4,6,9,1,0,4,10,8,4,9,8,7,6,1,1,1,4,4,3,2,2,1,7,4,1,2,8,8,1,2,9,5,8,2,9,5,6,4,5,3,9,8,0,9,8,3,8,4,8,8,1,1,10,3,7,0,0,5,5,1,1,10,8,2,0,8,10,9,1,2,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
12
9,1,4,6,6,3,1,5,0,3,4,9,0,5,4,6,4,9,4,9,5,7,7,7,8,4,1,7,11,1,8,9,8,9,3,7,10,1,0,7,10,7,8,0,5,2,5,8,7,9,8,7,0,2,7,3,8,2,2,4,7,10,10,2,0,8,9,7,2,6,1,1,0,5,5,6,0,7,7,1,10,7,7,10,7,9,0,1,2,5,8,6,11,7,8,5,10,4,10,9,4,10,1,11,0,10,9,6,2,3,2,11,7,7,9,6,2,6,9,10,4,0,5,2,5,2,4,3,8,0,2,11,10,11,7,1,8,4,3,8,3,1,10,4,6,9,1,5,0,4,11,11,4,9,8,1,6,1,1,1,4,4,3,2,2,5,7,4,1,2,8,1,2,9,8,5,8,2,5,6,4,5,3,9,8,4,9,8,3,8,4,11,8,1,1,10,3,7,0,4,5,11,1,2,1,10,2,0,2,10,9,5,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
13
9,1,4,6,3,1,5,0,3,4,9,3,0,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,1,12,9,8,9,3,10,1,0,8,7,10,7,8,0,5,2,5,8,7,9,8,12,7,0,2,7,3,8,2,4,7,10,10,2,0,8,9,12,7,3,6,1,1,0,5,5,0,7,7,1,3,10,7,9,7,0,12,9,2,5,8,6,7,8,5,4,10,4,10,9,4,10,1,4,0,10,9,6,2,3,2,11,7,7,9,6,2,6,9,10,4,0,2,5,2,4,3,8,0,2,11,10,11,2,1,8,4,12,3,8,1,10,4,6,9,1,5,0,4,11,4,12,9,8,2,6,1,1,1,4,4,3,2,2,7,4,2,1,2,8,1,2,9,12,5,8,2,5,2,6,4,5,3,9,8,12,9,8,3,8,4,8,1,1,10,3,7,0,2,12,5,12,11,1,1,10,2,0,12,3,10,9,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
14
9,13,1,4,6,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,12,9,8,9,13,3,10,1,0,7,10,7,8,0,5,2,5,13,8,9,8,12,7,0,2,7,3,8,2,4,7,10,10,2,0,8,9,12,7,6,13,1,1,0,5,5,0,7,7,1,13,10,7,7,13,0,12,13,2,5,8,6,7,8,5,10,4,10,9,4,10,1,0,10,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,1,8,4,12,3,8,1,10,4,13,6,9,1,13,0,4,11,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,1,2,8,1,2,9,12,5,8,2,5,13,6,4,5,3,9,8,12,9,8,3,8,4,8,1,1,10,3,7,0,13,12,5,12,11,1,1,10,2,0,12,10,9,13,13,2,11,10,6,8,10,3,13,2,1,11,6,13,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
15
9,13,1,4,6,14,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,14,12,9,8,9,13,3,10,1,0,7,10,7,8,0,5,2,5,13,8,9,8,12,7,0,2,7,3,8,14,2,4,7,10,10,2,0,8,9,12,7,14,6,13,1,1,0,5,5,14,0,7,7,1,13,10,7,14,14,14,7,13,0,12,13,2,14,5,8,6,7,8,5,10,14,4,10,9,4,10,1,0,10,14,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,1,8,4,12,3,8,1,10,4,13,6,9,1,13,0,4,11,14,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,1,2,14,8,1,2,9,12,5,8,2,5,13,6,4,5,3,9,8,12,14,9,8,3,8,4,8,1,1,10,3,7,0,13,12,5,12,11,1,14,1,10,2,0,12,14,10,9,13,13,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
16
9,13,1,4,6,14,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,14,12,9,8,9,13,3,15,10,1,0,15,7,10,7,8,0,5,15,2,5,13,8,15,9,8,12,7,0,2,7,3,8,14,2,15,4,7,10,10,2,0,8,9,12,7,14,6,13,1,1,0,5,5,14,0,7,7,1,13,10,15,7,14,14,14,7,13,0,12,13,2,14,5,8,6,15,7,8,5,15,10,14,4,10,9,4,10,1,15,15,0,10,14,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,15,1,8,4,12,3,8,15,1,10,4,13,6,9,1,13,0,4,11,14,15,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,15,1,2,14,8,1,2,9,12,5,8,2,15,5,13,6,4,5,3,9,8,12,14,9,8,3,8,4,15,8,1,1,10,3,7,0,13,12,5,12,11,1,14,1,10,15,2,0,12,14,10,9,13,13,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
17
16,10,6,12,10,16,6,13,14,16,16,9,9,16,10,14,1,2,1,15,15,15,12,2,14,15,8,8,15,15,9,0,11,13,10,12,12,14,0,10,13,9,15,10,11,0,7,3,13,13,8,16,10,0,16,7,14,7,13,15,15,3,7,3,6,0,0,3,15,15,1,15,10,1,14,7,16,10,11,2,6,10,9,15,9,6,9,0,13,4,16,10,7,0,1,11,15,16,9,16,14,15,3,9,6,8,7,8,4,15,12,1,3,11,1,2,7,10,4,6,8,13,9,9,14,16,4,15,11,0,1,1,2,3,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,4,12,15,1,3,16,12,10,14,5,5,14,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
18
16,10,6,12,10,16,6,14,14,16,17,4,9,9,10,5,14,2,1,15,15,15,12,7,2,14,9,8,8,15,15,9,0,11,6,11,17,12,12,14,0,7,17,2,0,15,10,17,0,17,7,3,13,8,8,16,10,16,7,14,7,13,15,15,7,7,6,3,6,10,3,15,15,1,15,10,14,12,7,5,16,14,11,2,6,10,5,3,17,6,9,0,13,4,16,4,7,0,1,11,15,12,9,16,4,15,3,9,6,2,7,8,4,7,12,5,3,11,1,2,7,10,4,6,8,7,9,9,14,16,4,16,11,0,1,14,2,9,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,3,12,15,1,16,16,12,10,14,3,5,14,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
19
1,10,6,12,10,16,6,18,14,16,10,17,18,9,9,18,10,14,6,2,1,15,15,15,12,2,14,0,8,8,15,15,9,0,11,18,13,17,12,12,14,0,10,17,5,15,15,10,17,0,17,7,3,13,11,8,16,10,16,7,14,7,13,15,15,3,7,2,3,6,18,6,3,15,15,1,15,5,18,14,7,6,16,14,11,2,6,10,13,11,17,6,9,0,13,4,1,2,7,0,1,11,15,12,9,16,17,15,3,9,6,18,7,8,4,5,16,12,3,11,1,2,7,10,4,6,8,3,9,4,9,14,16,4,3,11,0,16,2,2,0,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,4,16,12,13,10,14,5,14,16,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
20
19,10,6,8,12,10,16,6,18,14,16,17,18,9,9,18,10,15,14,2,1,15,15,15,12,19,2,14,19,11,8,8,15,15,9,0,11,4,18,17,18,12,12,14,0,19,19,17,11,15,10,17,0,17,7,3,10,13,8,16,10,3,16,7,14,7,13,15,15,7,7,3,6,18,0,3,15,15,1,15,10,18,16,0,7,16,13,11,2,6,10,19,3,17,6,19,9,0,13,4,12,4,7,0,1,11,15,16,9,16,16,15,3,9,6,18,7,8,4,7,10,12,19,3,11,1,2,7,10,4,6,8,7,9,9,14,16,4,16,11,0,19,18,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,5,12,15,1,0,16,12,10,14,17,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
21
19,20,10,6,12,10,16,6,18,14,16,19,17,18,9,9,18,10,14,10,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,18,20,15,10,17,0,17,7,3,10,13,20,8,16,10,16,7,14,7,13,15,15,7,7,6,3,6,18,15,3,15,15,1,15,20,18,20,20,20,7,16,8,11,2,6,10,19,7,17,6,19,9,0,13,4,20,1,20,7,0,1,11,15,3,9,16,19,15,3,9,6,18,7,8,4,13,8,12,19,3,11,1,2,7,10,4,6,8,13,9,9,14,16,4,20,0,11,0,1,17,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,2,16,12,1,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
22
19,20,10,6,12,10,16,6,18,14,16,20,17,18,9,9,18,10,14,18,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,16,20,15,10,17,0,17,7,3,18,13,20,8,16,10,16,7,14,7,13,15,15,15,7,14,3,6,18,16,3,15,15,1,15,2,18,20,20,20,7,16,21,14,11,2,6,10,7,21,17,6,19,9,0,13,4,20,6,20,7,0,1,11,21,15,0,9,16,15,3,9,6,16,18,7,8,4,15,12,19,3,11,1,2,7,10,4,6,8,18,9,16,9,14,16,4,20,11,0,17,21,21,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,14,16,12,10,14,11,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
23
19,20,10,6,12,10,16,6,18,14,16,2,17,18,9,9,18,10,14,7,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,5,17,12,12,14,0,19,19,17,18,20,15,10,17,0,17,7,3,7,13,20,8,16,10,16,7,14,7,13,15,15,4,7,3,3,6,18,22,3,15,15,1,15,2,18,20,20,20,7,7,16,21,11,2,6,10,8,4,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,10,9,16,15,3,9,6,22,18,7,8,4,22,16,12,19,3,11,1,2,7,10,4,6,8,22,9,5,9,14,16,4,20,11,0,22,21,6,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,0,16,12,10,14,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
24
19,20,10,6,12,10,16,6,18,14,16,10,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,12,18,17,22,12,12,14,0,19,19,17,23,20,15,10,17,0,17,7,3,6,13,20,8,16,10,23,16,7,14,7,13,15,15,23,7,2,3,6,18,22,3,15,15,1,15,10,18,20,20,20,7,15,16,21,11,2,6,10,19,23,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,0,9,16,4,15,3,9,6,22,18,7,8,4,23,2,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,12,11,0,23,21,17,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,12,16,12,10,14,21,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
25
19,20,10,6,12,10,16,6,18,14,16,22,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,24,18,17,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,23,7,3,6,18,10,22,3,15,15,1,15,10,18,20,20,20,7,16,21,6,11,2,6,10,23,16,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,15,3,9,6,22,18,7,8,4,23,23,12,19,3,11,1,2,7,10,4,6,8,22,23,9,10,9,14,16,4,20,11,0,23,21,22,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,0,12,15,1,21,16,12,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
26
19,20,10,6,12,10,16,6,18,14,16,12,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,14,18,17,22,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,25,23,7,3,6,18,2,22,3,15,15,1,15,2,18,20,20,20,7,16,21,8,11,2,6,10,23,7,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,15,3,9,6,22,18,7,8,4,23,13,12,19,3,11,1,2,7,10,4,6,8,22,23,9,2,9,14,16,4,20,11,0,23,21,12,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,16,12,15,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
27
19,20,10,6,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,17,8,8,15,15,9,0,11,18,5,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,9,23,7,26,3,6,18,22,3,15,15,1,15,26,18,20,20,20,7,7,16,21,26,11,2,6,10,23,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,1,15,3,9,6,22,18,7,8,4,23,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,6,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,16,12,10,14,10,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
28
19,20,10,6,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,11,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,27,23,7,26,3,6,18,12,22,3,15,15,1,15,26,18,20,20,20,7,16,21,26,11,2,6,10,27,23,27,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,12,15,3,9,6,22,18,7,8,4,23,27,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,0,16,12,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
29
19,20,10,6,28,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,28,0,11,28,18,17,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,27,23,7,26,3,6,18,28,22,3,15,15,1,15,26,28,18,20,20,20,7,16,21,26,11,2,6,10,27,23,27,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,28,15,3,9,6,22,18,7,8,4,23,27,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,28,9,14,16,4,20,28,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,28,16,12,10,14,16,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
3
2,1,1,0,1,1,0,1,2,2,0,0,1,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,2,1,1,0,0,2,1,1,1,1,1,1,2,0,1,0,0,1,1,2,1,2,0,2,1,2,0,2,1,1,0,2,2,0,1,0,0,1,2,2,1,2,0,0,0,1,1,0,2,1,1,1,2,0,2,1,2,0,0,1,0,0,0,2,1,0,2,0,2,0,2,1,0,1,2,2,2,2,0,2,0,0,2,0,2,1,0,1,2,1,2,1,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,0,1,1,2,2,1,2,2,2,1,1,0,0,0,1,0,2,2,1,1,2,0,1,2,1,2,0,1,1,2,2,2,1,0,2,2,2,1,1,0,2,2,0,1,0,0,2,2,2,2,1,1,2,0,2,0,0,2,2,1,1,1,1,1,2,0,2,1,2,2,1,2,2,1,0,0,0,1,0,2,1,1,0,2,1,1,0,0,2,0,0,0,0,2,2,2,2,2,0,1,2,0,1,0,0,0,2,0,0,1,2,2,1,0,1,1,2,2,1,0,1,1,0,0,1,0,2,2,1,0,0,2,1,2,0,1,1,2,0,1,0,1,0,1,1,1,0,1,0,0,0,2,0,2,1,1,1,0,0,1,0,2,2,2,0,0,1,0,2,2,1,0,1,1,2,0,0,2,1,1,1,1,2,1,0,1,1,0,2,1,2,0,0,2,2,1,2,0,0,2,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,1,0,1,1,0,2,0,1,2,0,1,2,2,0,2,0,0,0,2,2,2,2,1,1,1,0,2,2,2,2,1,2,2,0,2,2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
4
2,1,3,1,0,1,1,0,1,2,3,2,0,3,0,1,1,1,0,0,0,3,1,0,2,1,3,1,0,0,3,1,1,0,1,2,1,0,2,1,1,0,3,0,2,1,1,1,1,3,1,3,1,3,2,0,1,0,0,1,1,3,2,3,3,1,3,2,3,0,2,1,2,0,2,1,3,1,0,3,3,3,2,2,0,1,0,0,3,3,1,3,2,2,1,3,2,0,0,0,1,1,3,3,0,2,1,1,3,1,2,0,3,3,2,1,2,0,3,0,1,3,0,0,0,2,1,3,0,3,2,0,3,2,0,2,3,3,1,0,1,3,2,2,2,2,0,2,0,0,2,0,2,1,3,0,1,3,3,2,1,2,3,1,0,1,0,1,0,0,1,1,1,1,3,2,0,0,1,3,1,3,0,1,3,1,2,2,3,3,1,3,3,2,3,2,3,2,1,3,3,1,0,0,3,0,3,1,0,2,3,2,1,1,2,0,1,2,3,3,1,3,2,0,1,1,3,3,2,2,3,2,1,0,2,2,2,1,1,0,2,2,0,1,3,3,3,3,0,0,2,2,3,2,2,1,1,2,0,2,0,3,0,2,2,3,1,3,1,3,3,1,3,1,1,2,0,2,1,2,2,1,2,2,1,0,0,0,3,1,0,2,1,1,0,2,3,1,1,0,0,3,2,0,0,0,0,2,2,3,2,2,2,3,3,3,0,1,2,0,1,0,3,0,0,3,2,0,3,3,0,1,2,2,1,0,3,1,1,2,2,1,0,1,3,1,0,0,1,0,2,3,3,2,3,3,1,0,3,0,2,1,2,0,3,1,1,2,0,1,0,1,0,1,3,1,1,0,1,0,0,3,0,2,0,2,3,1,1,3,1,0,3,3,0,1,0,2,3,2,2,0,0,1,0,2,2,1,3,0,1,1,2,0,0,2,3,3,1,1,3,1,1,2,1,0,1,1,0,3,2,1,2,0,3,0,3,2,2,1,2,0,0,3,2,0,1,0,3,3,2,0,0,1,0,1,2,2,0,3,1,3,0,0,3,1,3,0,1,1,3,0,2,3,0,1,3,2,0,1,2,2,3,3,0,2,0,0,3,0,3,2,2,2,2,1,3,1,3,1,0,2,2,3,2,2,1,2,2,0,2,2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
5
4,2,1,2,1,1,4,2,3,0,0,4,4,4,2,0,3,0,2,2,2,4,4,2,2,3,0,4,1,0,1,3,0,2,3,1,1,4,2,3,1,2,2,0,4,1,3,4,2,4,0,0,2,4,4,1,1,4,1,4,3,4,0,2,3,4,0,0,0,2,1,2,2,0,4,0,4,2,3,4,3,2,4,4,4,2,1,0,1,2,2,0,0,3,4,3,3,1,2,3,1,3,2,0,3,2,2,1,3,0,3,3,0,4,1,3,3,4,4,0,2,2,4,0,3,2,4,1,2,2,2,1,0,4,2,0,0,2,1,1,3,1,1,0,0,1,4,4,1,3,2,4,1,1,0,0,1,2,2,1,1,4,1,1,4,1,1,0,4,4,4,0,1,0,2,0,2,2,3,1,4,4,1,1,3,0,2,1,0,2,2,4,2,0,2,1,3,2,0,2,3,1,1,3,3,0,0,4,1,1,1,3,0,1,3,3,3,4,4,2,4,1,4,3,1,4,0,3,4,1,1,3,4,0,2,1,0,1,0,3,3,4,2,1,3,0,4,1,3,3,2,0,3,1,4,2,3,0,4,3,3,1,0,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
52
39,17,17,46,12,21,0,39,16,1,6,18,20,50,21,29,33,1,30,45,9,34,29,15,38,4,15,30,39,32,5,37,46,15,38,12,28,2,28,0,47,17,40,32,34,28,31,38,20,17,1,21,7,28,29,43,51,46,31,16,51,18,37,24,27,33,31,43,36,42,20,40,31,44,10,22,8,50,45,23,22,9,41,41,0,36,37,11,20,14,0,10,47,49,33,12,14,15,6,36,21,41,7,16,18,12,38,13,24,17,7,20,16,50,11,23,19,49,11,40,4,41,49,24,11,13,36,20,35,14,38,3,33,15,32,17,40,11,3,28,23,11,7,33,43,50,3,14,42,29,43,41,40
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
6
4,2,1,2,1,5,1,4,2,5,0,0,4,4,2,0,5,0,2,2,2,4,2,2,5,3,5,4,1,0,1,3,5,3,1,1,4,2,3,5,1,2,0,4,1,3,4,4,0,0,5,4,4,5,1,4,1,4,3,4,0,2,3,4,0,0,5,2,1,2,5,0,4,0,4,2,3,4,3,4,4,2,1,0,1,2,5,0,0,3,4,3,5,5,3,3,5,3,2,0,3,2,2,1,3,0,3,3,4,1,3,5,3,4,4,5,2,2,4,5,0,3,4,1,2,2,2,1,0,2,5,5,2,1,1,5,1,5,1,0,0,4,4,5,1,3,2,4,1,0,0,1,2,2,5,1,4,1,1,4,1,1,0,4,4,5,5,1,0,2,0,2,2,5,1,4,4,1,5,3,0,2,1,0,2,4,2,0,2,1,3,2,2,3,1,1,3,5,0,0,4,5,1,1,3,0,1,3,5,5,4,4,2,4,1,4,3,1,4,0,3,4,1,1,4,0,2,1,5,0,0,3,3,4,2,1,3,0,4,1,5,3,2,0,3,1,5,2,3,5,4,5,3,5,1,5,0,5,2,2,0,5,5,4,5,4,5,3,0,5,0,2,3,2,5,0,2,2,0,2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
62
39,17,17,46,12,21,0,52,39,16,53,6,18,20,50,21,29,55,33,1,30,61,59,9,34,29,15,58,4,15,30,39,32,5,60,37,54,15,38,12,28,2,28,56,56,47,17,58,40,32,34,28,31,38,52,17,1,21,56,7,28,29,43,55,59,46,31,16,51,18,57,24,27,55,33,31,43,36,42,20,40,31,60,10,58,22,8,50,45,55,55,22,9,41,41,0,52,37,11,20,14,0,10,58,47,49,33,12,14,15,6,36,53,41,7,16,18,61,12,38,13,24,17,7,20,16,50,11,23,19,49,11,40,4,41,49,24,11,53,53,36,20,57,35,14,38,3,33,15,32,17,40,55,3,28,23,11,7,33,43,50,3,14,42,29,52,43,41,40
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
7
4,2,1,2,1,5,6,1,4,2,5,0,0,6,4,4,2,0,6,5,0,6,2,2,2,4,6,2,2,5,3,5,6,4,1,0,1,3,6,5,3,1,1,4,2,3,5,1,2,0,4,1,3,6,4,4,0,0,5,4,4,5,6,6,1,4,6,1,4,3,4,0,2,3,4,0,0,5,2,1,2,5,0,4,0,4,2,3,4,3,4,6,6,4,2,1,0,1,2,5,0,0,3,4,3,5,5,3,6,3,5,6,3,2,0,6,3,2,2,1,3,0,3,3,6,4,1,3,5,3,4,4,5,2,2,4,5,0,3,4,1,2,2,2,6,1,0,6,2,5,5,6,6,2,6,1,1,5,1,5,1,0,0,6,4,4,5,1,3,2,4,1,6,0,0,1,2,2,5,6,1,4,1,1,4,1,6,1,0,6,4,4,6,5,5,1,0,2,0,2,2,6,5,1,4,4,6,1,5,3,0,2,1,0,2,4,2,0,6,2,1,3,2,2,3,6,1,1,3,5,0,0,4,5,1,6,1,3,0,1,3,6,5,6,5,4,4,2,4,1,4,3,1,6,4,6,0,3,4,1,1,4,0,2,1,5,0,6,0,3,3,4,2,1,3,0,4,1,5,3,6,2,0,3,1,6,5,2,3,5,6,4,5,3,5,1,5,0,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
8
4,7,2,1,2,1,5,6,1,4,2,5,0,0,6,4,4,7,2,0,6,5,0,6,2,2,2,4,6,2,2,5,3,5,6,7,4,1,0,1,3,6,7,5,7,3,1,1,4,2,3,5,1,7,7,2,0,4,1,7,3,6,4,7,4,0,0,5,7,4,4,5,6,6,1,7,4,6,1,4,3,4,0,2,3,4,7,0,7,0,5,7,2,1,7,2,5,0,4,0,4,2,3,4,3,7,4,6,6,4,2,1,0,1,2,5,7,0,0,7,3,4,3,5,5,3,6,7,7,3,5,6,3,7,2,0,6,3,2,2,7,1,3,0,3,3,6,7,4,1,3,7,5,3,4,4,5,2,2,4,5,0,3,7,7,4,1,2,7,2,2,6,1,0,6,2,5,5,6,7,6,7,2,6,1,1,5,1,5,1,0,0,6,4,4,5,1,3,2,4,1,6,0,0,1,2,7,2,5,7,6,1,4,1,1,4,1,6,1,7,0,6,4,4,6,5,5,1,0,7,2,0,2,2,7,6,7,5,1,4,4,6,1,5,3,0,2,1,0,7,2,4,2,0,6,2,1,3,2,7,2,3,6,1,1,3,5,0,0,4,5,1,6,1,3,0,1,3,6,5,6,5,4,4,2,4,7,1,4,3,1,6,4,6,0,3,4,1,1,7,4,0,2,1,5,0,6,7,0,3,3,4,2,7,1,3,0,7,4,1,5,3,6,2,0,3,1,6,5,2,3,5,6,4,5,3,5,1,5,0,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
9
4,1,4,6,3,1,5,0,3,4,8,0,5,4,6,4,4,3,5,7,7,7,8,4,1,7,2,6,3,8,4,3,7,1,0,7,7,7,8,0,5,2,5,8,6,8,7,0,2,7,3,8,8,2,4,7,7,2,0,8,7,7,8,6,1,1,0,5,5,6,0,7,7,1,2,7,6,4,7,0,4,2,6,5,8,6,7,8,5,3,4,7,4,1,4,0,7,8,6,2,3,2,7,7,0,6,2,6,1,4,0,2,2,5,2,4,3,8,0,2,3,0,1,8,4,3,8,0,1,4,2,6,1,4,0,4,1,4,8,4,6,1,1,1,4,4,3,2,2,5,7,4,1,2,2,8,1,2,3,5,8,2,5,6,4,5,3,8,3,8,8,3,8,4,8,1,1,7,3,7,0,4,5,5,1,1,0,2,0,4,0,4,2,3,6,8,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
94
78,69,13,10,64,87,29,6,81,73,20,85,32,32,38,60,76,39,39,8,61,34,2,68,75,88,85,14,2,57,69,4,61,40,65,9,9,90,17,2,87,64,14,17,30,78,25,82,25,26,47,73,41,37,7,4,10,88,70,43,59,21,44,38,77,16,26,37,22,80,2,93,47,53,4,13,36,89,36,58,4,61,25,24,47,4,35,84,33,72,90,22,75,80,18,78,22,5,43,17,39,24,38,7,4,54,4,52,55,6,57,49,6,72,12,39,58,43,83,34
Raw
results.txt
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
10
9,1,4,6,2,3,1,5,0,3,4,9,0,1,4,6,4,9,4,9,5,7,7,7,8,4,1,7,3,2,9,8,9,5,3,1,0,7,0,7,8,0,5,2,5,8,9,8,0,7,0,2,7,3,8,2,9,4,7,0,2,0,8,9,7,6,6,1,1,0,5,5,2,0,7,7,1,8,7,8,7,0,0,2,2,5,8,6,7,8,5,9,4,4,9,4,0,1,0,4,9,6,2,3,2,7,7,9,6,2,6,9,8,4,0,2,5,2,1,4,3,8,0,2,6,1,1,8,4,3,8,7,1,4,3,6,9,1,0,4,9,9,4,9,8,5,6,1,1,1,4,4,3,2,2,1,7,4,1,2,8,1,2,9,5,8,2,7,5,6,4,5,3,9,8,0,9,8,3,8,4,9,8,1,1,3,7,0,3,5,4,1,0,1,5,2,0,6,9,3,2,9,6,8,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
11
9,1,4,6,2,3,1,5,0,3,4,9,0,1,4,6,4,9,4,9,5,7,7,7,8,4,1,7,5,2,9,8,9,7,3,10,1,0,7,10,7,8,0,5,2,5,8,9,8,10,7,0,2,7,3,8,2,8,4,7,10,10,2,0,8,9,7,8,6,1,1,0,5,5,2,0,7,7,1,10,3,7,7,7,6,0,7,2,5,8,6,8,7,8,5,10,8,4,10,9,4,10,1,0,10,9,6,2,3,2,4,7,7,1,6,2,6,9,10,4,0,2,5,2,1,4,3,8,0,2,10,0,1,8,4,10,3,8,1,10,4,6,9,1,0,4,10,8,4,9,8,7,6,1,1,1,4,4,3,2,2,1,7,4,1,2,8,8,1,2,9,5,8,2,9,5,6,4,5,3,9,8,0,9,8,3,8,4,8,8,1,1,10,3,7,0,0,5,5,1,1,10,8,2,0,8,10,9,1,2,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
12
9,1,4,6,6,3,1,5,0,3,4,9,0,5,4,6,4,9,4,9,5,7,7,7,8,4,1,7,11,1,8,9,8,9,3,7,10,1,0,7,10,7,8,0,5,2,5,8,7,9,8,7,0,2,7,3,8,2,2,4,7,10,10,2,0,8,9,7,6,9,1,1,0,5,5,0,7,7,1,9,10,7,10,7,0,4,2,6,5,8,6,7,8,5,11,10,4,10,9,4,10,1,11,0,10,9,6,2,3,2,11,7,7,5,6,2,6,9,10,4,0,2,5,2,5,4,3,8,0,2,11,10,11,1,8,4,8,3,8,1,10,4,6,9,1,0,4,11,6,4,4,9,8,6,1,1,1,5,4,4,3,2,2,7,4,7,1,2,8,1,2,9,8,5,8,2,5,6,4,5,3,9,8,2,9,8,3,8,4,8,1,1,10,3,7,0,5,5,0,11,1,1,10,11,2,0,2,10,9,5,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
13
9,1,4,6,3,1,5,0,3,4,9,3,0,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,1,12,9,8,9,3,10,1,0,8,7,10,7,8,0,5,2,5,8,9,8,12,7,0,2,7,3,8,2,4,7,10,10,2,0,8,9,12,7,6,1,1,0,5,5,0,7,7,1,3,10,7,7,0,12,9,2,5,8,6,7,8,5,10,4,10,9,4,10,1,0,10,9,6,2,3,2,11,7,7,9,6,2,6,9,10,4,0,2,5,2,4,3,8,0,2,11,10,11,2,1,8,4,12,3,8,1,10,4,6,9,1,0,4,11,4,12,9,8,6,1,1,1,4,4,3,2,2,7,4,2,1,2,8,1,2,9,12,5,8,2,5,6,4,5,3,9,8,12,9,8,3,8,4,8,1,1,10,3,7,0,12,5,12,11,1,1,10,2,0,12,10,9,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
14
9,13,1,4,6,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,12,9,8,9,13,3,10,1,0,3,7,10,7,8,0,5,2,5,13,8,9,8,12,7,0,2,7,3,8,2,13,4,7,10,10,2,0,8,9,12,7,6,13,1,1,0,5,5,0,7,7,1,13,10,7,2,7,13,0,12,13,2,5,8,6,1,7,8,5,10,4,10,9,4,10,1,11,0,10,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,1,8,4,12,3,8,1,10,4,13,6,9,1,13,0,4,11,6,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,1,2,8,1,2,9,12,5,8,2,13,5,13,6,4,5,3,9,8,12,9,8,3,8,4,8,1,1,10,3,7,0,13,12,5,12,11,1,1,10,5,2,0,12,10,9,13,13,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
15
9,13,1,4,6,14,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,14,12,9,8,9,13,3,10,1,0,7,10,7,8,0,5,2,5,13,8,9,8,12,7,0,2,7,3,8,14,2,4,7,10,10,2,0,8,9,12,7,14,6,13,1,1,0,5,5,14,0,7,7,1,13,10,7,14,14,14,7,13,0,12,13,2,14,5,8,6,7,8,5,10,14,4,10,9,4,10,1,0,10,14,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,1,8,4,12,3,8,1,10,4,13,6,9,1,13,0,4,11,14,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,1,2,14,8,1,2,9,12,5,8,2,5,13,6,4,5,3,9,8,12,14,9,8,3,8,4,8,1,1,10,3,7,0,13,12,5,12,11,1,14,1,10,2,0,12,14,10,9,13,13,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
16
9,13,1,4,6,14,3,1,5,0,3,4,9,13,0,13,4,6,4,9,4,12,9,5,7,7,7,8,4,1,7,11,13,14,12,9,8,9,13,3,15,10,1,0,15,7,10,7,8,0,5,15,2,5,13,8,15,9,8,12,7,0,2,7,3,8,14,2,15,4,7,10,10,2,0,8,9,12,7,14,6,13,1,1,0,5,5,14,0,7,7,1,13,10,15,7,14,14,14,7,13,0,12,13,2,14,5,8,6,15,7,8,5,15,10,14,4,10,9,4,10,1,15,15,0,10,14,9,6,2,3,2,11,7,7,13,13,6,2,6,9,10,4,0,13,2,5,2,13,4,3,8,0,2,11,10,11,15,1,8,4,12,3,8,15,1,10,4,13,6,9,1,13,0,4,11,14,15,4,12,9,8,13,6,1,1,1,13,4,4,3,2,2,13,7,4,15,1,2,14,8,1,2,9,12,5,8,2,15,5,13,6,4,5,3,9,8,12,14,9,8,3,8,4,15,8,1,1,10,3,7,0,13,12,5,12,11,1,14,1,10,15,2,0,12,14,10,9,13,13,2,11,10,6,8,10
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
17
16,10,6,12,10,16,6,13,14,16,16,9,9,16,10,14,1,2,1,15,15,15,12,2,14,15,8,8,15,15,9,0,11,13,10,12,12,14,0,10,13,9,15,10,11,0,7,3,13,13,8,16,10,0,16,7,14,7,13,15,15,3,7,3,6,0,0,3,15,15,1,15,10,1,14,7,16,10,11,2,6,10,9,15,9,6,9,0,13,4,16,10,7,0,1,11,15,16,9,16,14,15,3,9,6,8,7,8,4,15,12,1,3,11,1,2,7,10,4,6,8,13,9,9,14,16,4,15,11,0,1,1,2,3,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,4,12,15,1,3,16,12,10,14,5,5,14,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
18
16,10,6,12,10,16,6,14,14,16,17,4,9,9,10,5,14,2,1,15,15,15,12,7,2,14,9,8,8,15,15,9,0,11,6,11,17,12,12,14,0,7,17,2,0,15,10,17,0,17,7,3,13,8,8,16,10,16,7,14,7,13,15,15,7,7,6,3,6,10,3,15,15,1,15,10,14,12,7,5,16,14,11,2,6,10,5,3,17,6,9,0,13,4,16,4,7,0,1,11,15,12,9,16,4,15,3,9,6,2,7,8,4,7,12,5,3,11,1,2,7,10,4,6,8,7,9,9,14,16,4,16,11,0,1,14,2,9,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,3,12,15,1,16,16,12,10,14,3,5,14,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
19
1,10,6,12,10,16,6,18,14,16,10,17,18,9,9,18,10,14,6,2,1,15,15,15,12,2,14,0,8,8,15,15,9,0,11,18,13,17,12,12,14,0,10,17,5,15,15,10,17,0,17,7,3,13,11,8,16,10,16,7,14,7,13,15,15,3,7,2,3,6,18,6,3,15,15,1,15,5,18,14,7,6,16,14,11,2,6,10,13,11,17,6,9,0,13,4,1,2,7,0,1,11,15,12,9,16,17,15,3,9,6,18,7,8,4,5,16,12,3,11,1,2,7,10,4,6,8,3,9,4,9,14,16,4,3,11,0,16,2,2,0,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,4,16,12,13,10,14,5,14,16,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
20
19,10,6,8,12,10,16,6,18,14,16,17,18,9,9,18,10,15,14,2,1,15,15,15,12,19,2,14,19,11,8,8,15,15,9,0,11,4,18,17,18,12,12,14,0,19,19,17,11,15,10,17,0,17,7,3,10,13,8,16,10,3,16,7,14,7,13,15,15,7,7,3,6,18,0,3,15,15,1,15,10,18,16,0,7,16,13,11,2,6,10,19,3,17,6,19,9,0,13,4,12,4,7,0,1,11,15,16,9,16,16,15,3,9,6,18,7,8,4,7,10,12,19,3,11,1,2,7,10,4,6,8,7,9,9,14,16,4,16,11,0,19,18,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,5,12,15,1,0,16,12,10,14,17,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
21
19,20,10,6,12,10,16,6,18,14,16,19,17,18,9,9,18,10,14,10,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,18,20,15,10,17,0,17,7,3,10,13,20,8,16,10,16,7,14,7,13,15,15,7,7,6,3,6,18,15,3,15,15,1,15,20,18,20,20,20,7,16,8,11,2,6,10,19,7,17,6,19,9,0,13,4,20,1,20,7,0,1,11,15,3,9,16,19,15,3,9,6,18,7,8,4,13,8,12,19,3,11,1,2,7,10,4,6,8,13,9,9,14,16,4,20,0,11,0,1,17,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,2,16,12,1,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
22
19,20,10,6,12,10,16,6,18,14,16,20,17,18,9,9,18,10,14,18,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,16,20,15,10,17,0,17,7,3,18,13,20,8,16,10,16,7,14,7,13,15,15,15,7,14,3,6,18,16,3,15,15,1,15,2,18,20,20,20,7,16,21,14,11,2,6,10,7,21,17,6,19,9,0,13,4,20,6,20,7,0,1,11,21,15,0,9,16,15,3,9,6,16,18,7,8,4,15,12,19,3,11,1,2,7,10,4,6,8,18,9,16,9,14,16,4,20,11,0,17,21,21,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,14,16,12,10,14,11,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
23
19,20,10,6,12,10,16,6,18,14,16,2,17,18,9,9,18,10,14,7,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,18,5,17,12,12,14,0,19,19,17,18,20,15,10,17,0,17,7,3,7,13,20,8,16,10,16,7,14,7,13,15,15,4,7,3,3,6,18,22,3,15,15,1,15,2,18,20,20,20,7,7,16,21,11,2,6,10,8,4,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,10,9,16,15,3,9,6,22,18,7,8,4,22,16,12,19,3,11,1,2,7,10,4,6,8,22,9,5,9,14,16,4,20,11,0,22,21,6,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,0,16,12,10,14,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
24
19,20,10,6,12,10,16,6,18,14,16,10,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,12,18,17,22,12,12,14,0,19,19,17,23,20,15,10,17,0,17,7,3,6,13,20,8,16,10,23,16,7,14,7,13,15,15,23,7,2,3,6,18,22,3,15,15,1,15,10,18,20,20,20,7,15,16,21,11,2,6,10,19,23,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,0,9,16,4,15,3,9,6,22,18,7,8,4,23,2,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,12,11,0,23,21,17,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,12,15,1,21,12,16,12,10,14,21,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
25
19,20,10,6,12,10,16,6,18,14,16,22,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,24,18,17,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,23,7,3,6,18,10,22,3,15,15,1,15,10,18,20,20,20,7,16,21,6,11,2,6,10,23,16,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,15,3,9,6,22,18,7,8,4,23,23,12,19,3,11,1,2,7,10,4,6,8,22,23,9,10,9,14,16,4,20,11,0,23,21,22,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,0,12,15,1,21,16,12,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
26
19,20,10,6,12,10,16,6,18,14,16,12,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,0,11,14,18,17,22,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,25,23,7,3,6,18,2,22,3,15,15,1,15,2,18,20,20,20,7,16,21,8,11,2,6,10,23,7,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,15,3,9,6,22,18,7,8,4,23,13,12,19,3,11,1,2,7,10,4,6,8,22,23,9,2,9,14,16,4,20,11,0,23,21,12,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,16,12,15,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
27
19,20,10,6,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,17,8,8,15,15,9,0,11,18,5,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,9,23,7,26,3,6,18,22,3,15,15,1,15,26,18,20,20,20,7,7,16,21,26,11,2,6,10,23,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,1,15,3,9,6,22,18,7,8,4,23,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,6,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,16,12,10,14,10,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
28
19,20,10,6,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,11,8,8,15,15,9,0,11,18,1,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,27,23,7,26,3,6,18,12,22,3,15,15,1,15,26,18,20,20,20,7,16,21,26,11,2,6,10,27,23,27,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,12,15,3,9,6,22,18,7,8,4,23,27,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,9,14,16,4,20,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,0,16,12,10,14,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
29
19,20,10,6,28,12,10,16,6,18,14,16,26,17,18,9,9,18,10,23,14,2,1,15,15,15,12,19,2,14,19,8,8,15,15,9,28,0,11,28,18,17,17,12,12,14,0,19,19,17,24,23,20,15,10,17,0,17,7,3,13,20,8,16,10,23,16,7,14,7,13,15,15,27,23,7,26,3,6,18,28,22,3,15,15,1,15,26,28,18,20,20,20,7,16,21,26,11,2,6,10,27,23,27,21,17,6,19,9,0,13,4,20,22,20,7,0,1,11,21,15,24,24,9,16,28,15,3,9,6,22,18,7,8,4,23,27,26,12,19,3,11,1,2,7,10,4,6,8,22,23,9,28,9,14,16,4,20,28,11,0,23,21,26,25,2,19,19,3,7,9,16,14,2,15,16,4,13,3,14,3,14,5,25,12,15,1,21,28,16,12,10,14,16,5,14,19,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
3
2,1,1,0,1,1,0,1,2,2,0,0,1,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,2,1,1,0,0,2,1,1,1,1,1,1,2,0,1,0,0,1,1,2,1,2,0,2,1,2,0,2,1,1,0,2,2,0,1,0,0,1,2,2,1,2,0,0,0,1,1,0,2,1,1,1,2,0,2,1,2,0,0,1,0,0,0,2,1,0,2,0,2,0,2,1,0,1,2,2,2,2,0,2,0,0,2,0,2,1,0,1,2,1,2,1,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,0,1,1,2,2,1,2,2,2,1,1,0,0,0,1,0,2,2,1,1,2,0,1,2,1,2,0,1,1,2,2,2,1,0,2,2,2,1,1,0,2,2,0,1,0,0,2,2,2,2,1,1,2,0,2,0,0,2,2,1,1,1,1,1,2,0,2,1,2,2,1,2,2,1,0,0,0,1,0,2,1,1,0,2,1,1,0,0,2,0,0,0,0,2,2,2,2,2,0,1,2,0,1,0,0,0,2,0,0,1,2,2,1,0,1,1,2,2,1,0,1,1,0,0,1,0,2,2,1,0,0,2,1,2,0,1,1,2,0,1,0,1,0,1,1,1,0,1,0,0,0,2,0,2,1,1,1,0,0,1,0,2,2,2,0,0,1,0,2,2,1,0,1,1,2,0,0,2,1,1,1,1,2,1,0,1,1,0,2,1,2,0,0,2,2,1,2,0,0,2,0,1,0,2,0,0,1,0,1,2,2,0,1,0,0,1,0,1,1,0,2,0,1,2,0,1,2,2,0,2,0,0,0,2,2,2,2,1,1,1,0,2,2,2,2,1,2,2,0,2,2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
4
2,1,3,1,0,1,1,0,1,2,3,2,0,3,0,1,1,1,0,0,0,3,1,0,2,1,3,1,0,0,3,1,1,0,1,2,1,0,2,1,1,0,3,0,2,1,1,1,1,3,1,3,1,3,2,0,1,0,0,1,1,3,2,3,3,1,3,2,3,0,2,1,2,0,2,1,3,1,0,3,3,3,2,2,0,1,0,0,3,3,1,3,2,2,1,3,2,0,0,0,1,1,3,3,0,2,1,1,3,1,2,0,3,3,2,1,2,0,3,0,1,3,0,0,0,2,1,3,0,3,2,0,3,2,0,2,3,3,1,0,1,3,2,2,2,2,0,2,0,0,2,0,2,1,3,0,1,3,3,2,1,2,3,1,0,1,0,1,0,0,1,1,1,1,3,2,0,0,1,3,1,3,0,1,3,1,2,2,3,3,1,3,3,2,3,2,3,2,1,3,3,1,0,0,3,0,3,1,0,2,3,2,1,1,2,0,1,2,3,3,1,3,2,0,1,1,3,3,2,2,3,2,1,0,2,2,2,1,1,0,2,2,0,1,3,3,3,3,0,0,2,2,3,2,2,1,1,2,0,2,0,3,0,2,2,3,1,3,1,3,3,1,3,1,1,2,0,2,1,2,2,1,2,2,1,0,0,0,3,1,0,2,1,1,0,2,3,1,1,0,0,3,2,0,0,0,0,2,2,3,2,2,2,3,3,3,0,1,2,0,1,0,3,0,0,3,2,0,3,3,0,1,2,2,1,0,3,1,1,2,2,1,0,1,3,1,0,0,1,0,2,3,3,2,3,3,1,0,3,0,2,1,2,0,3,1,1,2,0,1,0,1,0,1,3,1,1,0,1,0,0,3,0,2,0,2,3,1,1,3,1,0,3,3,0,1,0,2,3,2,2,0,0,1,0,2,2,1,3,0,1,1,2,0,0,2,3,3,1,1,3,1,1,2,1,0,1,1,0,3,2,1,2,0,3,0,3,2,2,1,2,0,0,3,2,0,1,0,3,3,2,0,0,1,0,1,2,2,0,3,1,3,0,0,3,1,3,0,1,1,3,0,2,3,0,1,3,2,0,1,2,2,3,3,0,2,0,0,3,0,3,2,2,2,2,1,3,1,3,1,0,2,2,3,2,2,1,2,2,0,2,2
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
5
4,2,1,2,1,1,4,2,3,0,0,4,4,4,2,0,3,0,2,2,2,4,4,2,2,3,0,4,1,0,1,3,0,2,3,1,1,4,2,3,1,2,2,0,4,1,3,4,4,0,0,2,4,4,1,1,4,1,4,3,4,0,2,3,4,0,0,0,2,1,2,2,0,4,0,4,2,3,4,3,2,4,4,4,2,1,0,1,2,2,0,0,3,4,3,3,1,2,3,1,3,2,0,3,2,2,1,3,0,3,3,4,1,3,3,4,4,0,2,2,4,0,3,2,4,1,2,2,2,1,0,4,2,0,0,2,1,1,3,1,1,0,0,1,4,4,1,3,2,4,1,1,0,0,1,2,2,1,1,4,1,1,4,1,1,0,4,4,4,0,1,0,2,0,2,2,3,1,4,4,1,1,3,0,2,1,0,2,2,4,2,0,2,1,3,2,0,2,3,1,1,3,3,0,0,4,1,1,1,3,0,1,3,3,3,4,4,2,4,1,4,3,1,4,0,3,4,1,1,3,4,0,2,1,0,1,0,3,3,4,2,1,3,0,4,1,3,2,0,3,1,4,2,3,0,4,3,3,1,0,0
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
52
39,17,17,46,12,21,0,39,16,1,6,18,20,50,21,29,33,1,30,45,9,34,29,15,38,4,15,30,39,32,5,37,46,15,38,12,28,2,28,0,47,17,40,32,34,28,31,38,20,17,1,21,7,28,29,43,51,46,31,16,51,18,37,24,27,33,31,43,36,42,20,40,31,44,10,22,8,50,45,23,22,9,41,41,0,36,37,11,20,14,0,10,47,49,33,12,14,15,6,36,21,41,7,16,18,12,38,13,24,17,7,20,16,50,11,23,19,49,11,40,4,41,49,24,11,13,36,20,35,14,38,3,33,15,32,17,40,11,3,28,23,11,7,33,43,50,3,14,42,29,43,41,40
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
6
4,2,1,2,1,5,1,4,2,5,0,0,4,4,4,2,0,5,0,4,2,2,2,4,2,2,5,3,5,1,4,1,0,1,3,5,3,3,1,1,4,2,3,5,1,2,0,4,1,3,4,4,0,0,5,3,4,4,5,1,1,4,1,4,3,4,0,2,3,4,0,3,0,5,2,1,2,5,0,4,0,4,2,3,4,3,4,4,2,1,0,1,2,5,1,0,0,3,4,3,5,5,3,5,3,5,3,5,2,0,3,2,2,1,3,0,3,3,2,4,1,3,5,3,4,4,5,2,2,4,5,0,3,4,1,2,2,2,1,0,2,5,5,1,2,2,1,1,5,1,5,1,0,0,4,4,5,1,3,2,4,1,0,0,1,2,1,2,5,1,4,1,1,4,1,4,1,0,4,4,4,5,5,1,0,2,0,2,2,5,1,4,4,1,5,3,0,2,1,0,5,2,4,2,0,2,1,3,2,2,3,2,1,1,3,5,0,0,4,5,1,1,3,0,1,3,5,0,5,4,4,2,4,1,4,3,1,4,4,0,3,4,1,1,4,0,2,1,5,0,5,0,3,3,4,2,1,3,0,4,1,5,3,0,2,0,3,1,5,2,3,5,4,5,3,5,1,5,0,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
62
39,17,17,46,12,21,0,52,39,16,53,6,18,20,50,21,29,55,33,1,30,61,59,9,34,29,15,58,4,15,30,39,32,5,60,37,54,15,38,12,28,2,28,56,56,47,17,58,40,32,34,28,31,38,52,17,1,21,56,7,28,29,43,55,59,46,31,16,51,18,57,24,27,55,33,31,43,36,42,20,40,31,60,10,58,22,8,50,45,55,55,22,9,41,41,0,52,37,11,20,14,0,10,58,47,49,33,12,14,15,6,36,53,41,7,16,18,61,12,38,13,24,17,7,20,16,50,11,23,19,49,11,40,4,41,49,24,11,53,53,36,20,57,35,14,38,3,33,15,32,17,40,55,3,28,23,11,7,33,43,50,3,14,42,29,52,43,41,40
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
7
4,2,1,2,1,5,6,1,4,2,5,0,0,6,4,4,2,0,6,5,0,6,2,2,2,4,6,2,2,5,3,5,6,4,1,0,1,3,6,5,3,1,1,4,2,3,5,1,2,0,4,1,3,6,4,4,0,0,5,4,4,5,6,6,1,4,6,1,4,3,4,0,2,3,4,0,0,5,2,1,2,5,0,4,0,4,2,3,4,3,4,6,6,4,2,1,0,1,2,5,0,0,3,4,3,5,5,3,6,3,5,6,3,2,0,6,3,2,2,1,3,0,3,3,6,4,1,3,5,3,4,4,5,2,2,4,5,0,3,4,1,2,2,2,6,1,0,6,2,5,5,6,6,2,6,1,1,5,1,5,1,0,0,6,4,4,5,1,3,2,4,1,6,0,0,1,2,2,5,6,1,4,1,1,4,1,6,1,0,6,4,4,6,5,5,1,0,2,0,2,2,6,5,1,4,4,6,1,5,3,0,2,1,0,2,4,2,0,6,2,1,3,2,2,3,6,1,1,3,5,0,0,4,5,1,6,1,3,0,1,3,6,5,6,5,4,4,2,4,1,4,3,1,6,4,6,0,3,4,1,1,4,0,2,1,5,0,6,0,3,3,4,2,1,3,0,4,1,5,3,6,2,0,3,1,6,5,2,3,5,6,4,5,3,5,1,5,0,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
8
4,7,2,1,2,1,5,6,1,4,2,5,0,0,6,4,4,7,2,0,6,5,0,6,2,2,2,4,6,2,2,5,3,5,6,7,4,1,0,1,3,6,7,5,7,3,1,1,4,2,3,5,1,7,7,2,0,4,1,7,3,6,4,7,4,0,0,5,7,4,4,5,6,6,1,7,4,6,1,4,3,4,0,2,3,4,7,0,7,0,5,7,2,1,7,2,5,0,4,0,4,2,3,4,3,7,4,6,6,4,2,1,0,1,2,5,7,0,0,7,3,4,3,5,5,3,6,7,7,3,5,6,3,7,2,0,6,3,2,2,7,1,3,0,3,3,6,7,4,1,3,7,5,3,4,4,5,2,2,4,5,0,3,7,7,4,1,2,7,2,2,6,1,0,6,2,5,5,6,7,6,7,2,6,1,1,5,1,5,1,0,0,6,4,4,5,1,3,2,4,1,6,0,0,1,2,7,2,5,7,6,1,4,1,1,4,1,6,1,7,0,6,4,4,6,5,5,1,0,7,2,0,2,2,7,6,7,5,1,4,4,6,1,5,3,0,2,1,0,7,2,4,2,0,6,2,1,3,2,7,2,3,6,1,1,3,5,0,0,4,5,1,6,1,3,0,1,3,6,5,6,5,4,4,2,4,7,1,4,3,1,6,4,6,0,3,4,1,1,7,4,0,2,1,5,0,6,7,0,3,3,4,2,7,1,3,0,7,4,1,5,3,6,2,0,3,1,6,5,2,3,5,6,4,5,3,5,1,5,0,5
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
9
4,1,4,6,3,1,5,0,3,4,8,0,5,4,6,4,4,3,5,7,7,7,8,4,1,7,2,6,3,8,4,3,7,1,0,7,7,7,8,0,5,2,5,8,6,8,7,0,2,7,3,8,8,2,4,7,7,2,0,8,7,7,8,6,1,1,0,5,5,6,0,7,7,1,2,7,6,4,7,0,4,2,6,5,8,6,7,8,5,3,4,7,4,1,4,0,7,8,6,2,3,2,7,7,0,6,2,6,1,4,0,2,2,5,2,4,3,8,0,2,3,0,1,8,4,3,8,1,7,4,6,1,1,0,4,3,5,4,3,8,6,1,1,1,5,4,4,3,2,2,7,4,7,1,2,8,1,2,8,5,8,2,0,5,6,4,5,3,1,8,8,8,3,8,4,6,8,1,1,3,7,0,2,5,6,1,1,1,4,2,0,8,7,5,2,6,6,8
1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0
94
78,69,13,10,64,87,29,6,81,73,20,85,32,32,38,60,76,39,39,8,61,34,2,68,75,88,85,14,2,57,69,4,61,40,65,9,9,90,17,2,87,64,14,17,30,78,25,82,25,26,47,73,41,37,7,4,10,88,70,43,59,21,44,38,77,16,26,37,22,80,2,93,47,53,4,13,36,89,36,58,4,61,25,24,47,4,35,84,33,72,90,22,75,80,18,78,22,5,43,17,39,24,38,7,4,54,4,52,55,6,57,49,6,72,12,39,58,43,83,34
Raw
test.py
from basestream import uniformstream,binstream,take
bits = [1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
f=open('results.txt','w')
bases = [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 2, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 3, 4, 5, 52, 6, 62, 7, 8, 9, 94]
for base in bases:
u=uniformstream(base,(x for x in bits))
f.write('%s\n%i\n%s\n\n' % (','.join([str(x) for x in bits]),base,','.join([str(x) for x in u])))
f.close()
Raw
testwrong.py
from basestream import uniformstream
print([x for x in uniformstream(3,(int(x) for x in '10001000011100010101000111'))])
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