254

main.py

from math import factorial as fac


def f(n: int) -> int:
    y = 0
    for x in map(int, str(n)):
        y += fac(x)
    return y


def s(n: int) -> int:
    r = 0
    while n:
        r, n = r + n % 10, n // 10
    return r


def sf(n: int) -> int:
    return s(f(n))


def g(n: int) -> int:
    x = 0
    while True:
        spi = sf(x)
        if spi is n:
            return x
        else:
            x += 1


def sg(n: int) -> int:
    return s(g(n))


print(f(342), sf(342), sg(5), g(20))

t = 0
for i in range(1, 21):
    t += sg(i)
print(t)