##The fraction 49/98 is a curious fraction, as an inexperienced mathematician in
##attempting to simplify it may incorrectly believe that 49/98 = 4/8, which is
##correct, is obtained by cancelling the 9s.
##We shall consider fractions like, 30/50 = 3/5, to be trivial examples.
##There are exactly four non-trivial examples of this type of fraction, less
##than one in value, and containing two digits in the numerator and denominator.
##If the product of these four fractions is given in its lowest common terms,
##find the value of the denominator.
def finddivisors(x,y):
    if x>y:
        return finddivisors(y,x)
    if x==0:
        return y
    return finddivisors(y%x,x)
def consider(x,y):
    z=finddivisors(x,y)
    return (x//z,y//z)
def fi():
    a,b=1,1
    for i in range(2,10):
        for j in range(1,i):
            for k in range(i,10):
                if consider(j*10+k,k*10+i)==consider(j,i):
                    a,b=a*j,b*i
    a,b=consider(a,b)
    return b
print(fi())
