import numpy as np
num=[]
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
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now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
ans+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num.append(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
num=[chr(i) for i in num]
ast=chr(ans)
now=int(True)
ans=len([])
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
ans+=now
now+=now
now+=now
now+=now
now+=now
now+=now
exec(eval(chr(ans)+str(True)+chr(ans)+ast+str(int(False))).join(num))