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# pyright: strict
from dataclasses import dataclass
from functools import cache
from sys import stdin
from typing import Type
@dataclass(frozen=True)
class Card:
id: int
winning: frozenset[int]
have: frozenset[int]
@property
def nmatching(self) -> int:
return len(self.winning & self.have)
@classmethod
def from_str[T](cls: Type[T], s: str) -> T:
card, rest = s.split(": ")
_, card_id = card.split()
winning, have = rest.split(" | ")
return cls(
int(card_id),
frozenset(map(int, winning.split())),
frozenset(map(int, have.split())),
)
cards = [Card.from_str(l.rstrip()) for l in stdin]
cards = {c.id: c for c in cards}
@cache
def p2_impl(card: Card) -> int:
return 1 + sum(
p2_impl(cards[cid]) for cid in range(card.id + 1, card.id + card.nmatching + 1)
)
print(sum(int(2 ** (c.nmatching - 1)) for c in cards.values()))
print(sum(p2_impl(c) for c in cards.values()))
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