#!/usr/bin/env python import itertools import sys from copy import deepcopy from dataclasses import dataclass from typing import Iterator, List, Optional, Tuple @dataclass class Tree: parent: Optional["Pair"] @dataclass class Pair(Tree): left: Tree right: Tree @dataclass class Num(Tree): val: int # True means left, False means right Path = List[bool] def solve(input: List[str]) -> int: def make_pair(left: Tree, right: Tree, parent: Optional[Pair] = None) -> Pair: pair = Pair(parent=parent, left=left, right=right) pair.left.parent = pair pair.right.parent = pair return pair def make_num(val: int, parent: Optional[Pair] = None) -> Num: return Num(parent=parent, val=val) # FIXME: remove this def debug(tree: Tree) -> str: if isinstance(tree, Pair): return f"[{debug(tree.left)},{debug(tree.right)}]" assert isinstance(tree, Num) return str(tree.val) def parse() -> List[Tree]: def parse_snailfish_number(line: str) -> Tree: def parse_index(input: str, index: int = 0) -> Tuple[int, Tree]: if input[index] == "[": left_index, left = parse_index(input, index + 1) assert input[left_index] == "," # Sanity check right_index, right = parse_index(input, left_index + 1) assert input[right_index] == "]" # Sanity check return right_index + 1, make_pair(left, right) res = 0 for i in itertools.count(index): if i < len(input) and input[i] in set(str(i) for i in range(10)): res = res * 10 + int(input[i]) else: return i, make_num(res) assert False # Sanity check __, res = parse_index(line) return res return [parse_snailfish_number(line) for line in input] def explosion_path(number: Tree) -> Optional[Path]: def dfs(number: Pair, path: Path = []) -> Optional[Path]: if ( len(path) >= 4 and isinstance(number.left, Num) and isinstance(number.right, Num) ): return path if isinstance(number.left, Pair): left_path = dfs(number.left, path + [True]) if left_path is not None: return left_path if isinstance(number.right, Pair): right_path = dfs(number.right, path + [False]) if right_path is not None: return right_path return None assert isinstance(number, Pair) # Sanity check return dfs(number) def split_path(number: Tree) -> Optional[Path]: def dfs(number: Pair, path: Path = []) -> Optional[Path]: if isinstance(number.left, Num): if number.left.val >= 10: return path + [True] else: assert isinstance(number.left, Pair) # Sanity check if (left_path := dfs(number.left, path + [True])) is not None: return left_path if isinstance(number.right, Num): if number.right.val >= 10: return path + [False] else: assert isinstance(number.right, Pair) # Sanity check if (right_path := dfs(number.right, path + [False])) is not None: return right_path return None assert isinstance(number, Pair) # Sanity check return dfs(number) def explode(number: Tree, path: Path) -> Tree: def walk(number: Tree, reverse: bool) -> Iterator[Tree]: if isinstance(number, Num): yield number else: assert isinstance(number, Pair) # Sanity check first, second = ( (number.right, number.left) if reverse else (number.left, number.right) ) yield from walk(first, reverse) yield number yield from walk(second, reverse) def next_num(number: Tree, reverse: bool) -> Optional[Num]: if number.parent is None: return None sibling = number.parent.left if reverse else number.parent.right if number is sibling: return next_num(number.parent, reverse) for node in walk(sibling, reverse=reverse): if isinstance(node, Num): return node return None assert isinstance(number, Pair) # Sanity check if len(path) == 0: p, n = next_num(number, reverse=True), next_num(number, reverse=False) if p is not None: assert isinstance(number.left, Num) # Safety check p.val += number.left.val if n is not None: assert isinstance(number.right, Num) # Safety check n.val += number.right.val return make_num(0) parent, left, right = number.parent, number.left, number.right if path[0]: left = explode(number.left, path[1:]) else: right = explode(number.right, path[1:]) return make_pair(parent=parent, left=left, right=right) def split(number: Tree, path: Path) -> Tree: def split_int(num: int, parent: Optional[Pair]) -> Tree: assert num >= 0 # Sanity check left = num // 2 right = num - left res = make_pair(left=make_num(left), right=make_num(right), parent=parent) return res if len(path) == 0: assert isinstance(number, Num) # Sanity check return split_int(number.val, number.parent) assert isinstance(number, Pair) # Sanity check parent, left, right = number.parent, number.left, number.right if path[0]: left = split(number.left, path[1:]) else: right = split(number.right, path[1:]) return make_pair(parent=parent, left=left, right=right) def reduce(number: Tree) -> Tree: path = explosion_path(number) if path is not None: return reduce(explode(number, path)) path = split_path(number) if path is not None: return reduce(split(number, path)) return number def add(left: Tree, right: Tree) -> Tree: return reduce(make_pair(left=left, right=right)) def magnitude(number: Tree) -> int: if isinstance(number, Num): return number.val assert isinstance(number, Pair) # Safety check return 3 * magnitude(number.left) + 2 * magnitude(number.right) numbers = parse() return max( magnitude(add(deepcopy(l), deepcopy(r))) for l, r in itertools.permutations(numbers, 2) ) def main() -> None: input = [line.strip() for line in sys.stdin.readlines()] print(solve(input)) if __name__ == "__main__": main()