if __name__ == '__main__':
    results = []
    numerator = 3
    denominator = 2
    for _ in range(1000):
        if len(str(numerator)) > len(str(denominator)):
            results.append(str(numerator) + '/' + str(denominator))
        denominator += numerator
        numerator   += 2 * (denominator - numerator)
    print(results)
    print(len(results))