import time
time.clock()

def is_sync(num):
    s = str(num)
    return s == s[::-1]

def is_lic(num, lic_set, non_set):
    step = set([num])
    for i in range(50):
        num = num + int(str(num)[::-1])
        step.add(num)
        if num in lic_set:
            return (True, step)
        if num in non_set:
            return (False, step)
        if is_sync(num):
            return (False, step)
    return (True, step)

def search(limit):
    lic_set = set()
    non_set = set()
    for x in range(1, limit + 1):
        judge, step = is_lic(x, lic_set, non_set)
        if judge:
            lic_set |= set(filter(lambda x: x <= limit, step))
        else:
            non_set |= set(filter(lambda x: x <= limit, step))
    return lic_set

print(len(search(10000)))
print(time.clock())