#!/usr/bin/env python3
import fileinput
from timeit import timeit
from typing import FrozenSet, List, Optional, Tuple, Union
from collections import defaultdict

lines = list(fileinput.input())


def main():
    # parse
    graph = defaultdict(list)
    for line in lines:
        fro, to = str(line).strip().split("-")
        graph[fro].append(to)
        graph[to].append(fro)

    # part 1
    stack: List[Tuple[str, FrozenSet[str]]] = [("start", frozenset())]
    part1 = 0
    while stack:
        pos, visited = stack.pop()
        if pos.islower() and pos in visited:
            continue
        visited = visited | {pos}

        if pos == "end":
            part1 += 1
            continue

        for next_pos in graph[pos]:
            stack.append((next_pos, visited))

    stack2: List[Tuple[str, FrozenSet[str], Optional[str]]] = [
        ("start", frozenset(), None)
    ]
    part2 = 0
    while stack2:
        pos, visited, doubled = stack2.pop()

        if pos.islower() and pos in visited:
            if doubled is None:
                stack2.append((pos, visited, pos))
                continue
            if doubled != pos:
                continue
            doubled = ""

        visited = visited | {pos}

        if pos == "end":
            part2 += 1
            continue

        for next_pos in graph[pos]:
            if next_pos != "start":
                stack2.append((next_pos, visited, doubled))

    return part1, part2


if __name__ == "__main__":
    print(main())
    print(f"{timeit(main, number=20) * 50:.3f} ms")