#!/usr/bin/env python import itertools import sys from collections import Counter from copy import deepcopy from typing import Dict, Iterator, List, NamedTuple, Tuple, TypeVar class Template(NamedTuple): bigrams: Counter[str] counts: Counter[str] Rules = Dict[str, str] T = TypeVar("T") def nth(iterable: Iterator[T], n: int) -> T: return next(itertools.islice(iterable, n, None)) def solve(input: List[str]) -> int: def parse() -> Tuple[Template, Rules]: bigrams = Counter(a + b for a, b in zip(input[0], input[0][1:])) counts = Counter(input[0]) rules = { pair: insertion for pair, insertion in map(lambda s: s.split(" -> "), input[2:]) } return Template(bigrams, counts), rules def step(template: Template, rules: Rules) -> Template: bigrams: Counter[str] = Counter() counts = deepcopy(template.counts) for p, n in template.bigrams.items(): if p in rules: insertion = rules[p] bigrams[p[0] + insertion] += n bigrams[insertion + p[1]] += n counts[insertion] += n else: # Counts are not changed in this case bigrams[p] = n return Template(bigrams, counts) def polymerize(template: Template, rules: Rules) -> Iterator[Template]: while True: yield (template := step(template, rules)) def score(template: Template) -> int: nums = [n for __, n in template.counts.most_common()] return nums[0] - nums[-1] template, rules = parse() return score(nth(polymerize(template, rules), 40 - 1)) def main() -> None: input = [line.strip() for line in sys.stdin.readlines()] print(solve(input)) if __name__ == "__main__": main()