advent/2020/src/day18.rs

1041 lines
66 KiB
Rust

//! --- Day 18: Operation Order ---
//! As you look out the window and notice a heavily-forested continent slowly appear over the horizon, you are interrupted by the child sitting next to you. They're curious if you could help them with their math homework.
//!
//! Unfortunately, it seems like this "math" follows different rules than you remember.
//!
//! The homework (your puzzle input) consists of a series of expressions that consist of addition (+), multiplication (*), and parentheses ((...)). Just like normal math, parentheses indicate that the expression inside must be evaluated before it can be used by the surrounding expression. Addition still finds the sum of the numbers on both sides of the operator, and multiplication still finds the product.
//!
//! However, the rules of operator precedence have changed. Rather than evaluating multiplication before addition, the operators have the same precedence, and are evaluated left-to-right regardless of the order in which they appear.
//!
//! For example, the steps to evaluate the expression 1 + 2 * 3 + 4 * 5 + 6 are as follows:
//!
//! 1 + 2 * 3 + 4 * 5 + 6
//! 3 * 3 + 4 * 5 + 6
//! 9 + 4 * 5 + 6
//! 13 * 5 + 6
//! 65 + 6
//! 71
//! Parentheses can override this order; for example, here is what happens if parentheses are added to form 1 + (2 * 3) + (4 * (5 + 6)):
//!
//! 1 + (2 * 3) + (4 * (5 + 6))
//! 1 + 6 + (4 * (5 + 6))
//! 7 + (4 * (5 + 6))
//! 7 + (4 * 11 )
//! 7 + 44
//! 51
//! Here are a few more examples:
//!
//! 2 * 3 + (4 * 5) becomes 26.
//! 5 + (8 * 3 + 9 + 3 * 4 * 3) becomes 437.
//! 5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4)) becomes 12240.
//! ((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2 becomes 13632.
//! Before you can help with the homework, you need to understand it yourself. Evaluate the expression on each line of the homework; what is the sum of the resulting values?
//! --- Part Two ---
//! You manage to answer the child's questions and they finish part 1 of their homework, but get stuck when they reach the next section: advanced math.
//!
//! Now, addition and multiplication have different precedence levels, but they're not the ones you're familiar with. Instead, addition is evaluated before multiplication.
//!
//! For example, the steps to evaluate the expression 1 + 2 * 3 + 4 * 5 + 6 are now as follows:
//!
//! 1 + 2 * 3 + 4 * 5 + 6
//! 3 * 3 + 4 * 5 + 6
//! 3 * 7 * 5 + 6
//! 3 * 7 * 11
//! 21 * 11
//! 231
//! Here are the other examples from above:
//!
//! 1 + (2 * 3) + (4 * (5 + 6)) still becomes 51.
//! 2 * 3 + (4 * 5) becomes 46.
//! 5 + (8 * 3 + 9 + 3 * 4 * 3) becomes 1445.
//! 5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4)) becomes 669060.
//! ((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2 becomes 23340.
//! What do you get if you add up the results of evaluating the homework problems using these new rules?
use std::collections::VecDeque;
use aoc_runner_derive::{aoc, aoc_generator};
#[derive(Clone, Copy, Debug, PartialEq)]
pub enum Token {
Num(u64),
Add,
Mul,
Open,
Close,
Space,
Stop,
}
#[aoc_generator(day18)]
fn generator(input: &str) -> Vec<Vec<Token>> {
input.split('\n').map(lex).collect()
}
fn lex(input: &str) -> Vec<Token> {
input
.bytes()
.map(|b| match b {
b'(' => Token::Open,
b')' => Token::Close,
b'+' => Token::Add,
b'*' => Token::Mul,
b' ' => Token::Space,
c @ b'0'..=b'9' => Token::Num((c - b'0') as u64),
c => panic!(format!("unexpected char '{:?}'", c)),
})
// Ignore spaces
.filter(|t| t != &Token::Space)
.chain(std::iter::once(Token::Stop))
.collect()
}
mod part1 {
use std::collections::VecDeque;
use super::Token;
fn parse_item(tokens: &mut VecDeque<Token>) -> u64 {
let t = tokens.pop_front().unwrap();
match t {
Token::Num(n) => return n,
Token::Open => {
let expr = parse_expression(tokens);
if let Token::Close = tokens[0] {
// TODO(wathiede): how to do not?
} else {
panic!("expected close paren");
}
tokens.pop_front();
return expr;
}
t => panic!(format!("unexpected token {:?}", t)),
};
}
pub fn parse_expression(tokens: &mut VecDeque<Token>) -> u64 {
let mut result = parse_item(tokens);
let mut t = tokens[0];
loop {
match t {
Token::Mul => {
tokens.pop_front();
let rhs = parse_item(tokens);
if let Token::Mul = t {
result = result * rhs;
}
t = tokens[0];
}
Token::Add => {
tokens.pop_front();
let rhs = parse_item(tokens);
if let Token::Add = t {
result = result + rhs;
}
t = tokens[0];
}
_ => break,
}
}
result
}
}
fn parse_part1(tokens: &[Token]) -> u64 {
let mut vd: VecDeque<Token> = tokens.into_iter().cloned().collect();
part1::parse_expression(&mut vd)
}
#[aoc(day18, part1)]
fn solution1(tokens_list: &[Vec<Token>]) -> u64 {
tokens_list.iter().map(|tokens| parse_part1(tokens)).sum()
}
mod part2 {
use std::collections::VecDeque;
use super::Token;
fn parse_item(tokens: &mut VecDeque<Token>) -> u64 {
let t = tokens.pop_front().unwrap();
match t {
Token::Num(n) => return n,
Token::Open => {
let expr = parse_expression(tokens);
if let Token::Close = tokens[0] {
// TODO(wathiede): how to do not?
} else {
panic!("expected close paren");
}
tokens.pop_front();
return expr;
}
t => panic!(format!("unexpected token {:?}", t)),
};
}
fn parse_term(tokens: &mut VecDeque<Token>) -> u64 {
let mut result = parse_item(tokens);
let mut t = tokens[0];
while let Token::Add = t {
tokens.pop_front();
let rhs = parse_item(tokens);
if let Token::Add = t {
result = result + rhs;
}
t = tokens[0];
}
result
}
pub fn parse_expression(tokens: &mut VecDeque<Token>) -> u64 {
let mut result = parse_term(tokens);
let mut t = tokens[0];
while let Token::Mul = t {
tokens.pop_front();
let rhs = parse_term(tokens);
if let Token::Mul = t {
result = result * rhs;
}
t = tokens[0];
}
result
}
}
fn parse_part2(tokens: &[Token]) -> u64 {
let mut vd: VecDeque<Token> = tokens.into_iter().cloned().collect();
part2::parse_expression(&mut vd)
}
#[aoc(day18, part2)]
fn solution2(tokens_list: &[Vec<Token>]) -> u64 {
tokens_list.iter().map(|tokens| parse_part2(tokens)).sum()
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_lex() {
let tokens = vec![
Token::Num(2),
Token::Mul,
Token::Num(3),
Token::Add,
Token::Open,
Token::Num(4),
Token::Mul,
Token::Num(5),
Token::Close,
Token::Stop,
];
assert_eq!(lex("2 * 3 + (4 * 5)"), tokens);
}
#[test]
fn part1() {
for (input, want) in vec![
("1 + 2 * 3", 9),
("(1 + 2) * 3", 9),
("((1 + 2) * 3)", 9),
("1 + (2 * 3)", 7),
("(1 + (2 * 3))", 7),
("1 + 2 * 3 + 4 * 5 + 6", 71),
("(1 + 2 * 3 + 4 * 5 + 6)", 71),
("2 * 3 + (4 * 5)", 26),
("5 + (8 * 3 + 9 + 3 * 4 * 3)", 437),
("5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4))", 12240),
("((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2", 13632),
] {
let got = parse_part1(&lex(input));
assert_eq!(got, want, "got {}, want {} for {}", got, want, input);
}
let input = r#"1 + 2 * 3 + 4 * 5 + 6
2 * 3 + (4 * 5)
5 + (8 * 3 + 9 + 3 * 4 * 3)
5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4))
((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2"#;
assert_eq!(solution1(&generator(input)), 71 + 26 + 437 + 12240 + 13632);
}
#[test]
fn part2() {
for (input, want) in vec![
("1 + (2 * 3) + (4 * (5 + 6))", 51),
("2 * 3 + (4 * 5)", 46),
("5 + (8 * 3 + 9 + 3 * 4 * 3)", 1445),
("5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4))", 669060),
("((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2)", 23340),
] {
let got = parse_part2(&lex(input));
assert_eq!(got, want, "got {}, want {} for {}", got, want, input);
}
}
#[test]
fn comprehensive_part1() {
let mut ts = vec![
("(7 * (3 + 8 + 8 + 7) + (6 + 8 * 2 + 5 + 2 * 6) * (5 + 2) * 9) + ((7 * 4 + 8) * 6 * 8 + 9) * 7 * 2 * 2", 740124),
("6 * ((9 + 4) * (6 * 7 + 5 + 8 * 2))", 8580),
("7 * 8 + 2 + 8 * (8 * 4) * (4 + 8)", 25344),
("(9 + 3 + 2 * 5 * 8) + 9 + 5 * 2 * 5 * (6 * 6 * 4 + 6 * 9 * 3)", 23247000),
("6 * 6 * 4 * (6 + (3 * 9 * 2) + 9 + (4 + 7 + 7))", 12528),
("7 * ((4 * 6 + 4 + 6 * 8 + 6) + (2 * 7 * 8 + 5 * 3 + 7) + (5 * 5 * 5 * 7) + 8 * 7)", 74431),
("(8 + 9 * 7 * 9 + 6) + (7 + 5) + 6", 1095),
("5 * (6 * (3 + 2 + 9)) + 8 + 3 + 5 * (4 + 3 * 8 * 8 * 6 * 2)", 2343936),
("4 + (3 + 4 * (4 + 9 + 3) * (4 * 8 * 4 * 9))", 129028),
("4 * 4 * 6 * 2 + ((8 * 4 * 3 + 6) * 5) + 6", 708),
("(8 * (8 + 5 + 5 * 7) * 9 + 2 + 9) * 4 + 9 * ((3 + 3) + 8) + 9", 508783),
("((9 + 8 * 3 + 2 + 9 + 8) * 3 + (3 + 7 * 6) * 9 * 2) + 3 * 7", 34041),
("5 + 5 * (5 * (6 + 6 + 6 + 7) * 7 + (9 * 4) * 4 * (8 * 9))", 2623680),
("7 * (2 * 7 + 3 + 5 + 5 * 2) + 4 + 3 * 3 + 5", 1160),
("(4 + 5 * (2 * 4 + 5 * 2 * 7 + 5) + 2 + 9) + 4 + 9 * 9 * 3", 46089),
("7 * 6 + (6 * 2 + 4 + 5 * 8) + (6 * 2 * (4 * 7 * 2) + 9 * (5 * 2 * 4) + (3 + 2 * 5)) * 8", 219800),
("2 + ((9 * 3 * 3 * 3) * (5 * 9 + 6 + 7 + 6 + 8) * 3)", 52490),
("7 * ((9 + 7 + 4 * 3 * 4 + 4) + 4 * 3) * 5 * 3 * 7", 546840),
("8 * (3 + 5 * 9 + 4) * 6 + 4", 3652),
("7 + 6 * 7 * ((7 * 6 * 2) * 3) * 5 * 7", 802620),
("8 + 5 * 4 * (3 + 5 * (8 + 5 * 2) + 6) + 6", 11134),
("4 * 8 + ((3 * 5 * 4) + 7) + (4 * 2)", 107),
("((5 + 8 + 7 + 6 * 6 + 3) + 4 * 3 * (5 * 2) * 5 * (2 * 9)) + 6 + 3 * (2 * (2 + 4 + 8) * 4) + (9 + 3 + 6 * (9 + 5 * 6 * 3 * 8 * 5) + (4 * 6) + (6 * 3 + 2 + 8))", 49473700),
("(3 + 4 + 8) + 6 * (7 * 6 * (9 * 3 * 5 * 5 * 4 * 5) + (6 + 4) * (5 * 2 * 3 + 3) + (2 * 7)) + 2 * 4", 1571752904),
("6 * (6 * 9 * (3 * 9) * 4 + 9) + 6", 35052),
("4 + 6 * 7 * ((3 + 5 + 3) * (6 + 3 * 9 + 6 * 8 * 9) + 6 * 4) * 8", 154358400),
("5 + (6 + 9 * (7 * 8 * 8 * 3 * 4) + 2) * 4 * 2", 645176),
("(2 * 7 * 6 + 9 + (3 * 6 + 4 * 7 + 5) + 8) + 7 + 7 * 8", 2192),
("2 + (6 + 4 + (5 + 5) * 7) * 2 + 7 * 5", 1455),
("4 + 9 * 3 + 8 * 6", 282),
("(5 + 5 + 9 * 8 * (4 * 5 + 6 + 3 * 8 * 3) + 6) + 9 + 9", 105816),
("(8 * 4 * 7 + 9 + 6 * 9) * (9 + 2 * 2) + 3", 47325),
("((9 * 4 + 8 + 4 * 2 + 2) * 3 + (6 + 9 * 5 * 4) * 4 + 6 * 5) * 5 * 3 * 5 + (3 + 5 * 4)", 893282),
("5 + (5 * 3) * (2 + 8) * (3 + 6 + 4 * 6 + 7 + 7) * 5 * 7", 644000),
("6 * 6 * 7 * (5 * 4 + 2 + 6 + (8 + 6 + 4 + 9 * 5))", 41076),
("2 * 9 + (2 * (8 * 7 + 6 + 5 + 3) + 2 + 9 * (3 * 9 * 4 * 7 * 7 + 5) + 3) + (4 + 6 * 4 + 6)", 799914),
("(9 + (8 * 8 + 2 + 2 * 6 + 6)) * 8 + 4 + 3 + (9 + 3 + 9 + 9 * 4 * 8) * 2", 8702),
("8 * 4 * (4 * (3 + 7 * 7 + 3) + 8 * (5 + 2 + 3) * 2) + 9", 192009),
("5 + (6 * (3 * 3 + 7 * 3) * (4 * 4) + 2 * 4 * 4)", 73765),
("3 + (5 * 8 * 9 * 3 + 9 * (6 * 7)) * 9 + 3", 411672),
("3 * (9 * 3 + (5 + 4 * 7 + 3 + 8)) + 4 * 2 * 3", 1842),
("8 * 9 + 6 + (7 + 7 + 9 * 8 * 5 * 6) * 5", 27990),
("(8 + 9 + 3 + 7 * 7) + 2 + 9 + (8 + 7 + 4 + 2) + 9", 230),
("4 * (2 * (7 * 4 + 2 + 9 + 6 + 7) + (4 + 2) * 3 + 9 + 6) + 6 * 4 + 7 * 5", 27755),
("(3 * 4 + (5 * 8 * 2) * (7 + 8)) + 7 + 8 + 5 + ((6 * 9) * 4 * 5)", 2480),
("4 + ((9 + 9) + (7 * 8 + 2 * 8 * 2) + 9) + 2 + 7 * 2", 1936),
("8 * 3 * (9 + 5 + 8 + 5)", 648),
("4 + 4 + (6 + 2 * 7 + 9 + 6 * 5)", 363),
("((8 + 3 * 8 * 2) + 7 + 7 * (7 * 7 * 7 + 3) * 9 * (9 * 4 + 7)) + 4 + 6", 25441390),
("6 + (7 * 2 + 4 + 5 + 4) + 9 + ((7 * 9) * 7) * 5", 2415),
("(7 * 3 * 2) * ((9 + 6 * 2 * 6 * 3) + (6 * 7) + 3 + (6 + 5 * 5 + 4 + 9 * 6) * 4 + 9) + 4 + 7 + 6", 167219),
("9 * (3 * (9 + 8)) * 4", 1836),
("6 * (4 * 2 * (9 * 5 * 4 + 7 + 9) + 6 + (3 + 6 * 2)) * 5 * (3 * (2 + 6 * 8 * 6 + 3 + 7) * 8 * 7 * (9 * 8 * 7 + 7 + 9) * 7) + 3 + 6", 11507240908809),
("7 + 3 * ((6 * 3 * 9) + 3 * 9)", 14850),
("7 * ((4 + 4 * 4 * 9 * 7) + 2 * 9) * 8 * 6 * 6 + 3", 36614595),
("6 + 5 + (5 + 3 * (3 + 7 + 9 * 3) * 6) + 3 + ((2 * 3 * 4 + 4) * 6 + (3 + 3) + 2)", 2926),
("9 + ((8 * 9 * 3 * 2) * 5 + 8)", 2177),
("(2 + 7) * 3 * (8 + 5) + 9", 360),
("4 * (5 + 4 + 6 * (9 * 4 + 8 * 4 * 7 * 3) * (4 * 4 * 6) * (9 + 7 + 8 * 4)) * (4 + 4 + 9 + 8) + 7 * 8 + 5", 408748032061),
("((7 * 4 * 4 * 3) * 4 + 2 * 2 + 2) * 9 + 9 * 8 + 9", 194049),
("4 + 6 + 2 * (5 + 3 + 8 * 4)", 768),
("((7 + 6) + 3 * 3 * 5) * ((9 * 3 + 5 + 8) + (3 + 8 * 8 + 7 + 5 * 6) + 2 * 5 + (7 + 9 + 2)) + (4 * 2 * (5 + 8 + 5 + 3) * 5 + 6 * 2) + 6 * 5 * (2 * (9 + 4) * (7 * 8) * 8 + 7)", 45245758950),
("6 + 5 + 5 + 2 * 5", 90),
("5 + 5 + 8 * 8 + 2 + 6", 152),
("(3 * (4 * 6 * 8 * 2)) + 3", 1155),
("(5 + 6 * 3 + 5 * 2) * 5 * (3 * 5 + 2 * 7 * 9 * 3) + 5 * ((6 + 2 * 7 + 2 + 4 + 2) * 9 + 6) + 7", 710589997),
("(7 + 7 * 4 * 7) * ((8 * 5 * 9) + 6 * 9 + 3 * 3 * 9) * 8 * ((3 * 5 * 2 + 6 + 5) * 7 + (6 * 2 * 7 * 7) + 8 + 8 + 6)", 250409734848),
("(3 * 6 + 7 + 6 + 3 + 7) * 4 * 7 * ((9 + 3 + 6) * 5 + 3 + (5 * 7 + 4 + 5 * 2) + 5) * 5 * 9", 9608760),
("7 * ((7 + 6 + 2 + 9) + 3 * 4 + 9 + 2 + 2) + 2", 849),
("3 * 8 * 2 * (6 * 2 * 2 + 4 * 8) + 8 + 7", 10767),
("8 + 3 + ((4 * 6 * 5 * 7) * 9 + 9 + 8 * 4)", 30319),
("(6 + 4 + (6 + 3 + 3 + 3) + 6) * 9", 279),
("2 * 6 * (5 + 2) * (6 * 6 + 7 + 2)", 3780),
("4 + (8 + 2 + 4) * 4 * 5 + (9 * 5 + 9) + 8", 422),
("6 * 3 * 9 + 6 + (2 * 4 * 3 + 2 * 5 * 3) * 6", 3348),
("2 + (8 + 5 * 7 + 4 + 7 * (2 + 9 * 6 * 5 * 3 + 3)) + 9 * 4", 405188),
("(9 + (2 + 6 + 7 * 4 * 8) + 9 * 4 + 9) * 3 + 8 * 8", 48088),
("2 * (9 * 5 * 9 + (8 * 9 + 5)) * 8 * 8", 61696),
("3 + 6 + 2 * 3 * 9 + 9", 306),
("8 * 7 + 8 * (5 + 6) * 5 + 4", 3524),
("4 * (6 * 2 * (3 + 6 * 3) + 7 * 5 + 6)", 6644),
("(7 * 3 * 7 * 4 * 3 * 2) * (9 + 8 * 9) + 9 * (4 * 5 + 3 + 5 + 9)", 19972341),
("9 + 8 * 3 * 4 + (9 + 8 * 9) + (4 * (6 * 4 * 9 * 5 + 6 + 4) + 8 + 7 + (4 * 9))", 4768),
("2 * (4 * (3 + 4 + 8 + 5) * 8 * 6)", 7680),
("8 * (8 * 2 * 6 + 6 + 6) * 8", 6912),
("(9 + 3 * 4 * 9 + 5 * 5) * 4", 8740),
("(9 * 9 * 4 * 4 + (6 * 2) + (3 + 3 * 2)) + 3 + ((2 * 3 + 8 * 4 * 8 * 2) + 2 + 3)", 2224),
("7 * (9 * (6 + 3 + 7)) * ((8 + 3 + 3 * 3 + 3 + 7) + 4 + 5 + 3 * (6 * 4 * 6 * 6 + 2 * 5) + (2 + 3 + 9 + 3 * 6 + 4)) + 6", 279443814),
("8 + 6 * (3 + 5 + 6 + 9) * 4", 1288),
("(6 + 7 + 7 + 7 * 6 + 5) + 3 * 5 * 4 * 5 * 6", 102000),
("(2 * 9 + 9 + 3 * 7 + 6) + 3 + 7 + 4 + 9", 239),
("(7 + (8 * 7 * 4 * 7 * 2 + 4) + (5 + 2 * 2 + 2 * 2 * 6)) * 3 * 4 + (4 * 2 + 4 * 6 + 3 * (8 * 6 + 4 * 3 * 7)) * 6", 731808),
("2 * (3 * (5 * 7 * 8 * 7 + 8) + (6 * 3 + 5) + 5 + 9)", 11882),
("8 * 4 + ((7 + 2 + 8) + (2 * 8 * 4 * 4 + 4 * 7) * 2) * 5 * 4", 74120),
("2 * 6 * 2", 24),
("2 + (2 + 6 * 5 * 9) + ((8 + 2 * 6 * 5 * 5) * 7 + 3) + 3", 10868),
("((9 + 4 + 6 * 3 + 9) * 5) * (7 * 2 * 7 * 5 * 2) + 7 + 9 + 7", 323423),
("2 + 2 * 8 + 8", 40),
("4 + 6 + 4 * 7", 98),
("4 + 5 + 5 * 8 * (8 + 4 + (2 * 8 + 9 * 9 + 4 + 5))", 27552),
("(7 + 2 + (8 * 4 * 2 + 9 * 6) * 4) * 2 + (9 * 2 * 8 * 9 * 4)", 8760),
("4 + 9 + 6 * (4 * 6) + 7", 463),
("6 + 4 + 8 * (7 * 9 + 7)", 1260),
("3 * 2 + 2 + 9 + (2 * 9 * 2 * 8 * 2 * (2 + 8 + 9 * 9 + 7)) * 7", 717815),
("9 + 9 + 5", 23),
("(2 + 3 * 3) + 7", 22),
("(9 * 7 + (8 + 8 * 6) + 2 * 7 * 3) + 6 * (5 * (2 + 9 + 9 + 6) + 6) * 8 * (4 + 4 * 6 * 5 + 5) * 8", 7222709760),
("7 + 4 + (4 * 2 + (2 * 7 + 2 + 4 + 2 + 5) + 9 * (9 * 7 + 7)) + 9 + 7 + (8 + 9 * 7 + 2 + (7 * 8 * 5 * 4 + 6 + 8))", 4362),
("(8 * 3) * (9 + 2 * 7 * 7 + 7) * 6 * 8 + 8 + (9 + 9 + 3 * 5 + 3)", 629108),
("4 * 5 + 2 + 4", 26),
("((7 + 3 * 8 + 3) * 8 + 4 + 4 * 4 + 8) * 5 + 9 * (3 * 9 + 8 * 7 * 9 * 4) + 7", 118972987),
("(8 + 6 + 7 + 9) + 8 * 6 * (5 + 2 + 3) * 8", 18240),
("(9 * 8 * (6 * 5) + 9) + 4 + 8 + 8 * 8", 17512),
("(4 + 5 * 9) * 7 + 7 * 6 + 8 * (2 + 5 * 8)", 193312),
("(4 + 3 + (6 + 2 + 2 + 6 * 6 * 2) * 4 * 2 * 9) + 3", 14331),
("8 * (5 + 8 + 2 * 7) + 2 + ((5 * 6 + 4 + 7 + 6 * 5) * 7 * 3 + 8)", 5785),
("2 + 5 + (6 * 3 + 2) + 8", 35),
("2 + 9 * 6 * 5 + 5", 335),
("3 * 3 + 7", 16),
("(9 + 4 * 9) + 5 + (2 * 6 * (6 + 9) + 2 + 6) * 2 * ((9 * 6 + 7 * 3) + 5 * 2 + 3 * 9)", 2114820),
("2 + 6 + ((6 * 9 * 9 * 8 * 9) + 9) * (5 + 2 * 5 * (3 + 5 * 8 * 5 * 2 * 9) * 8) * ((7 + 9 + 3 + 6 + 5) * 4 * 5)", 33877509120000),
("3 * 9 * (5 + (3 * 4 * 2 + 8) + 5 * 3) + 4", 3406),
("9 * (9 * 3 + 3 + 4 + 7 + 4) + 3", 408),
("2 * 9 + 3 * 9 + 5 + 9", 203),
("(6 + (6 * 6 * 6 + 7 + 7 + 5) * 5) + 3 + 4 * 9", 10908),
("(2 * 8 * 8 * 6 * 8) + (5 + (5 * 6) * (8 + 5 + 7 * 7 + 2) + (6 * 4 + 7 + 5) + (3 + 5 + 8 + 6)) * 8 + ((8 * 3 + 3 * 7) * 4 + (3 * 8 * 4))", 90228),
("4 + ((9 * 2 * 9 * 9 * 7 + 5) * 6) * 7 * 7 + 5 * 8", 24017880),
("(3 * 6 + 6 * (5 + 6 * 4 * 6 + 2 + 9)) * 9 * 9 + (2 * 7 * 2 * 5)", 534740),
("6 + 2 + (8 + 6)", 22),
("6 + 3 * (3 + 3) + 8 * (9 * 6)", 3348),
("(2 * 8 + 4 + 5) + 7", 32),
("7 + (2 * 9 * 5 * 6)", 547),
("2 + 9 + ((7 + 3 + 3 * 9) * 6 + (5 + 2 + 8 + 5 * 6) * 7 + 8)", 5773),
("((4 + 9 + 8 * 6 + 8 * 9) + 8) * 6", 7284),
("9 * (9 * 3 + (3 * 8 * 8 * 7) * (4 + 8) + 8 * (5 * 3 + 2 + 4 * 3))", 9332820),
("9 * (7 + (3 * 5 * 5 + 3 * 7)) + (5 * 3 + (4 * 7 * 7 + 8) * (3 * 7 * 5 * 6) * 8) * 5 + (2 * 7) * 4", 22174796),
("4 * ((2 + 3 * 2 * 2 + 3) + 4 * 4 * 4 * 5 + (3 + 3 * 9 * 9 + 7)) * 9", 95508),
("8 + 7 * 4 * 3 * (5 + 9 + 8 * 7 * 3)", 83160),
("9 + (4 * (2 * 6 + 7) + 5 * 4 + 8 + (6 + 7 * 8 * 2)) + 9 + 5 + 8", 571),
("3 * ((5 * 2 * 8 * 7 * 2 + 4) * (3 * 3 * 5 + 2) + 7 + 8) * 8 * 2 + 3", 2536467),
("(8 * 2 + 5 + (4 * 9 * 7)) * 5 + (9 * 8) * (5 * (7 * 8 + 4 * 4) + 3)", 1728711),
("((7 * 6 + 9 + 7 + 9 + 9) * 2 * 8 + (6 + 4 * 7 * 2 * 2) * 7 + (2 + 9 + 9 + 5 + 4)) * 5 * 2 + 7", 105017),
("7 + 2", 9),
("4 * ((2 * 6) * 5 * 5 + 9 * (7 * 7 * 3 + 8)) + 2", 191582),
("6 * 8 + 5 + 4 * (5 + 8)", 741),
("4 + 6 * (4 * 5 * 3 * 5 * 5 * 6) * 8 * 5", 3600000),
("7 + ((6 * 6 + 2) + 7 * 7 + 7 * 9 * 6) + 6", 17401),
("(7 + 3 * (2 * 5 + 3 * 9)) + 2 * 2", 2344),
("6 + 3", 9),
("2 * 8 * (3 + 8 * (4 + 6 * 4) * 8 * 2)", 112640),
("8 * ((4 + 8 * 5 + 7) + 6 + (4 + 8 + 4 + 9 * 7 + 9) + 2) + 5", 2077),
("(7 + 7 + 2 + 3 + 6 * 3) * ((7 + 5 + 8 + 5 * 6) + 4 + 6 * (3 + 3) * (4 + 6 * 9 * 6 + 4) * 7) * 3 * 9 + 5 + 4", 7402752009),
("5 * 7 * (5 * (2 + 5 * 7 + 7 * 5) + 9) + 3", 49318),
("8 + 2 * 4 * 3 + (8 + 3 + 4 + 3 + 2 * (4 * 5)) * 5", 2600),
("3 + (8 * 3) * 7 + 4 * 5 * 2", 1930),
("(7 * (7 * 2 * 7 * 3) * 3 + 2 + 7 * 6) * 4 * 6 + 6 + 6", 890364),
("(5 + 2 + 2 * 8 + (2 * 9 + 7 + 3) + 5) * 9", 945),
("(6 + (7 + 8 * 2 + 9) + (7 * 3 * 4 * 5) + 6 * 3 * 4) + (3 * 2 * 5)", 5682),
("4 + 7 + (8 * 7 + (5 * 4))", 87),
("8 * 2 * 5 * (9 + 4) + (3 * 7)", 1061),
("(3 + 4 + 8 + 6 + 2) * 9 + 6 + 6 + 3", 222),
("(9 + (3 * 4 * 5 * 8 + 5) + (5 + 8)) + 5 * ((2 + 5) + (7 + 9) * 2) * (6 * 3) + 8", 423944),
("9 * (3 + 9 + 8 * (9 + 7 + 9 + 8 * 6) + 8 * 8) + 2", 285698),
("7 * ((9 * 2 + 8 * 4 + 7) * 4 + 3 + (5 * 3 * 5 + 3 + 4)) * 5 * 7", 129605),
("5 + 2 + (8 * 8) + 8", 79),
("4 * (4 * 9 + (7 * 6 + 2 * 2 + 5 + 8) * 9 + 7) * 3 * 7", 104160),
("9 + 9 + (4 * (8 + 2 * 5 * 9 + 9 * 2) * 4 * 7) + (6 + 2) * ((8 * 7) + 9 * (7 + 7 * 7) + 2 + 5 + 2) + 6", 656029124),
("9 + 4 + (3 * 9 * 3 * 9) + (3 + (2 + 9 + 9 + 8 + 7) + 5 + 9 * 3) * 7 * (4 + 7 * 8 + 7 * (4 * 2 + 5 * 8 + 9 + 8) + 3)", 72276428),
("6 + (2 + 6) * (6 * 2 * 2 + 7) * 4 * 6", 10416),
("6 * (2 + (6 * 7 + 7 * 9) * 6) * 3 * 8 + 3", 382755),
("8 + (5 + 4 + 6)", 23),
("9 + 2 * (5 * 5 * 5) * 2 * 5", 13750),
("4 * 4 * ((3 * 3) * (9 + 7 + 5) + 5 + 9) + 7 * (4 * 2 * 4) * 7", 729120),
("((4 * 5 * 7 * 7 + 3) * 9) * (6 * (7 * 8 * 7 + 3 + 7) + (4 * 2 + 3 + 3) * 4 + 6)", 85904370),
("4 * 2 + 3 + 2 * (2 + 2 * 2 * 8)", 832),
("4 + ((3 + 8) * 7 + 2 + (9 + 4 + 9 + 3 + 4 + 6) * (7 * 5 + 8)) + 4 + 5 * 8 + 2", 39322),
("(5 * 2) + 3 + (3 + 9) + 4 + 4 * 5", 165),
("6 + (5 + 8 + 6 + (7 + 5 + 9)) + (3 * 5 + 8 * 3 * 4) * 4 + 4 + 5", 1297),
("((7 + 4 * 6) * 7 * 2 + 6) * 7 + 8", 6518),
("7 * 5", 35),
("2 + 9 * 4 + 9 + 4 + (8 * 9)", 129),
("5 + 5 * ((5 + 6) + 2 * 4) * (8 + 8 * 5) + 3", 41603),
("5 * 5", 25),
("4 * 3 * 4 + 3 * (7 * 9) + 4", 3217),
("4 + 4 * (8 * 3 + 2 * 8 + 2) + 4 + 3", 1687),
("(8 + 5 + 4 * 4 + 6 * 9) + 8 * 6 * 3", 12132),
("8 + 6 + 3 + ((2 * 9 + 2) + (7 + 7 + 3)) + 6", 60),
("(4 + 5 + 8) * 8 + (7 * 9 + 3 * 3 + 9 + (8 + 5 + 7 + 3 + 9)) + (3 * 3) * 8", 3072),
("(4 + 4 + 4 * 6 + 4 + 9) * 6 * ((8 + 6 + 3 + 2 * 8 + 2) * 4 + 6 * 8 * 7) * 5", 88821600),
("6 * 6 + 3 * (2 + 7 + 3) * 4 + 5", 1877),
("((2 * 4 + 3 * 3 * 9 * 3) * 7) + 2 + 8 + 6 * 2", 12506),
("5 * (5 * 4) + 6", 106),
("((7 + 6) + 7) + 3 * 2 * 9 * 6 + 4", 2488),
("6 + 8 + ((4 * 9 + 5) * 4) * (5 + 7 + 8 * 8 * 2) + 9", 56969),
("8 * 4 * 8 * 9 * 2", 4608),
("5 + 2 + (8 + 9 * 6 * 7 * 6) * 8", 34328),
("6 * (9 * 5) + (5 + 2 + 6 * 8) * 6 * 6 * (4 + 7 + 8 * 8)", 2046528),
("2 * 3 * 6 * 8", 288),
("3 + (4 + 5 * 8 * 8) * 2 * (9 * (5 * 3 + 8 + 6) * 2 + (5 * 7 * 3) * (4 + 5) + 7)", 6542700),
("6 * (5 * 4) * 5 + 4 + (6 + 2) + 6", 618),
("2 * (4 * (7 + 2 + 3 + 3 * 8) * (9 + 3 * 3) + (6 * 8 * 5 * 7) + (6 + 5) + 7) * (3 + 8 + (5 + 4 + 8 + 6) * 3 + 2 + 3) * 8 + (3 * 3) * 9", 292413105),
("(5 + (4 * 8 * 7) + 7 * (7 * 9 + 2 + 5 + 6)) + 4", 17940),
("6 + ((3 + 9) * 4)", 54),
("9 + ((4 + 4 + 5 * 6) * 8) * 2", 1266),
("(4 + 2) * 3 * 3 + 3", 57),
("5 + 2 + (8 + 7 + 5)", 27),
("6 + (7 + 4 * 9 * (6 + 8 * 8 + 3) * 8)", 91086),
("3 + 3 * 6 * 3 + (4 * (2 + 6 * 7) * 8)", 1900),
("7 * 5 + 8 * 7 + (9 + 4 * (7 + 6 + 2 * 7 * 9) + 9 + 9 * 4) + (3 + 6 + 5 * 6 * 4 + 9)", 49858),
("5 + (9 * (5 * 7 * 6 * 8) + (8 * 3) * 6 + (2 + 7 * 8)) * (9 + (5 + 7 * 2 * 6 + 9 + 7) + 4 + 8 * 3) * 7", 345666741),
("(6 + 7 * 7 * 9 * 4) * 3 + (5 + 7) * 7 * 5 * 6", 2066400),
("(9 + 6 * 5 + 3) * (2 + 6 + 6) + 4 * 6 + 3", 6579),
("5 + 8 + ((9 + 8) * (3 * 3 + 8 * 8) * 2 + 3) * 6 * 4", 111360),
("((3 + 9 * 2 * 8 * 7) * 7 * 8 + 3 + 7) * (8 * 9) * 5", 27098640),
("5 + 3 + (4 * 4 * (8 * 8 + 4 * 4) + 4 + 5 * 6) * 4 + 2 + 7", 104705),
("5 + ((6 + 4 + 9 + 3) * 6 + (2 + 4 * 9 + 4 + 7 + 7)) + 4 + 9 * 8", 1776),
("2 + 4 * 7 * 5 * ((5 + 4 + 6) + 4 * 4)", 15960),
("8 * 6 + (4 + 8 * 5 * 6 + 4 * 9) * 9 + (2 + 8)", 29926),
("((8 + 3 * 2 * 6) * (7 + 8 * 8) * 9 + (2 + 5) + 4) * (2 * 9 * 5 + (9 * 4 * 2 + 7 + 8) * 2 + 2) * 6", 304531656),
("4 * ((5 * 5 + 6 * 8 * 5 * 9) + 4 * (3 + 7 * 6 + 4) * 4) + 2 * ((9 + 8 + 9) + 9 * 2) * 8 + 4", 6401885284),
("2 * 8 * 6", 96),
("(7 + (7 + 8 * 9) * 7 + (5 * 8 * 6 * 9 + 6 * 4)) + ((5 + 9 * 6 + 7) + 8 + 7 + (8 * 7 * 4 + 5 + 2) * 5 + (9 + 3 + 9 * 2 * 6 * 3)) * (4 + 5 * 4) + (8 * (5 * 5) * 9 * (3 * 3) + 5) * 4", 1807076),
("(6 + 5 + 5 * 5) * 4 + ((8 + 6 + 8) + 5 + 5 + 7 * 9)", 671),
("9 * (9 * 2 + 4 * 2 * 4)", 1584),
("4 + (6 + 2) * (4 + 2 + 2 * 5) + 2", 482),
("5 * (6 + 8 + 5 * 2 * (7 * 2 + 2))", 3040),
("((7 + 5) * 2 * (3 * 5 * 9)) + 7 * (7 * 5 + 9 * 9 * (5 * 9))", 57861540),
("7 + 5 * (2 * 3 * 4 + 9 * 7 * 9) + (2 + 8 + (3 * 6) * 7 * 7 * (5 * 8 * 7 + 8 * 6 * 9)) * 5", 106811460),
("9 * 3 * ((9 + 7) * 7 * (2 * 9 + 5 * 9 * 7 + 8) + 6 * 6 + 6) * (9 + 7 + 6 + 9 * 7)", 5736816414),
("8 + 9 * 4 * ((7 * 3 + 6 + 6 * 7 + 9) + 8 * 5 * 2)", 168640),
("3 * (3 * (5 + 5 + 5 * 2))", 270),
("4 * 4 * 8 * 6 + (3 + (5 + 5 + 5 + 6 * 6) * 8 * 9 + 9) + 3", 10068),
("(3 + 8) + 4", 15),
("6 + 5 + 3 + ((2 + 5 + 6) + (9 + 5 * 4 * 9) + 6 * 7 + 5)", 3680),
("(6 * 8 * (2 + 2 + 8 + 8 + 2) + 7 + 6 * 3) + ((7 * 3 * 9) + 2 * 4 * 4 + 2) + 5", 6270),
("6 * ((6 * 8 + 3 * 9) + 2 * 9) + 3 * (6 + (3 * 7 * 4) + 4 * (6 * 8 * 3 * 7 + 3 * 8) * 6 * 7) * 6", 4769979979968),
("5 * 8 * (7 * 7 + 4 * 7) + (2 * 4 + (3 * 2 * 4 * 9) + 4 + 2)", 15070),
("(3 * 8) + 3 + 6 + (3 * 3 + 9 * 6 * 8) + 3 + 5", 905),
("((6 + 5 + 7 + 3) * 7 + 9 * 5) + 9 + 2", 791),
("3 + 2 * ((9 + 9) * 8 + 5 * (6 + 4 * 6) + 4 + 7) + 9 + 4 * 4", 179072),
("5 * 6 + (5 + 6 * 8 * 5 * (8 * 2 + 7) * (7 * 6 * 2 * 2 * 7 * 6))", 71406750),
("8 + 4 + 3 + (4 * 7) * 2 * (2 + (3 + 8 + 8 * 2 * 9))", 29584),
("7 + 5 + 3 + ((9 * 9 + 2 * 8 * 6 + 5) * 2) + (3 * 7 + 6 * 4 * (8 * 6 + 8 + 8 + 7 * 3) + (9 + 3 * 8 * 6 + 4)) * (9 * 6 * 9 * 6)", 92078532),
("5 + (2 + (6 * 3 * 3 + 9 * 8 * 8) + 3) + 9 * 6 + 6", 24312),
("6 + (2 + (3 * 5 + 2 + 4)) + 7 * 9 * (8 * 9 * 6)", 139968),
("((4 * 4) + 2 + 7 + (5 + 3 * 2 + 9 + 8 + 4) * 5) * (2 * (6 + 8 * 9 + 7) * 9 + (7 + 5 * 7) * 8) + 6 * 3 * 3", 55309014),
("(7 * 5) * (5 + 3 + 5)", 455),
("(2 * 6 * 9 + 9 + 6) + 9 * 8", 1056),
("6 + (9 + 6 + 7 * 7 * 3 + (9 + 8 + 2 * 3 + 4 + 7)) + 9 * ((2 * 5 + 4 * 6 * 6 * 7) + (6 + 5 * 4 * 5 * 8) + 9) + ((5 + 7) * 5 * 4)", 2887105),
("(7 * 2 + 7 * 8 * (7 + 6)) * 2 * 2 * 2", 17472),
("(6 + 5 * 2 + 3 + 5) * 8 + 4 + 2", 246),
("3 + 4 + 3 + 7 * ((2 * 8 * 8 * 3 + 4 + 4) * 8 * 2 * 9 + 4 + 9)", 959837),
("7 + (5 * (7 * 9 + 7 + 2 * 7) + 9 + 3 + 5 + (8 * 9))", 2616),
("8 * (2 * (8 + 4 * 3) + 7 * 7 + 5 + 8) + 3 + 6 * 8", 36296),
("(8 + 3 * 5) * 6 + 2", 332),
("3 + 8 * ((3 * 8) + 8 + 5)", 407),
("5 * 9 * 5 + ((5 + 6 + 7) + 4) + ((5 + 8 + 3 + 4 + 3) * 8 * 3)", 799),
("7 * (6 + 4 + (7 + 4 + 4 + 6) * 3 * 3 + 2) + 7 + 8 + 4 + 3", 1989),
("2 + ((3 + 8) + 2 + 9 + 4 * 3)", 80),
("4 + 9 * 3 + 9", 48),
("(7 + (7 * 4 + 7) * (6 * 6 * 9 * 4) * (2 + 5 + 8 + 3)) * 3", 2939328),
("(8 + 2 + 4 * 7 * 3) + 2 * ((6 + 2 + 2) + 7 * 8 * 8 * 5 * 8) + 7 + (5 + 8 + 2 * (9 * 9) + 3)", 12883145),
("8 * 2 + 6 * ((5 * 3) * 6 * 2 * (7 * 2 + 4 * 4 + 9)) + 4", 320764),
("4 * 3 * (8 + 7 * (2 + 4 + 7 + 4 + 3)) * 9", 32400),
("7 + (6 + (6 + 2) + 8 + 9 + 3) * (3 + 9 * (3 + 5 + 6 + 7 + 6) + (8 * 8 * 7) + 5 + 8) * 9 * 2 * 8", 4634640),
("3 + 6 * (3 * 5) * (9 + 4 * 3) + (5 * 6 + 3) * 6", 31788),
("6 + (5 * 6 * 7 * (2 * 4) * 9) * 7 * 7 * 6 * ((2 * 6 * 2 + 3) + 7 + 9 * 2 + 6 * 6)", 2454768288),
("(4 * 4 * 2) * (4 + 3)", 224),
("7 * 8 * 9 * 6 * 2 + (8 * (8 + 6 + 6) + 3 + 5 + 2)", 6218),
("(9 + 2 + (8 * 9 * 5 + 7) + 3) * 9 * (7 + 8 + 3 * 4 + 5) + 8 * (5 * 5 + (4 + 5 + 5 * 3 + 8) * 4) + (7 + 3 + 7 + 4)", 79212321),
("8 * (2 * 2 + (8 + 7 * 9 * 2) * (8 * 2 + 5 + 4) * 9 + 8) * 6 + 3 + (4 * 3) * 7", 20717193),
("(5 + 7 + 9 * 6 + 4) * 9", 1170),
("(3 + (5 + 3 + 4) * 3) + 3 + 8 * ((5 * 8 * 6) + (8 + 6 * 4 * 4 + 8) * 8 + 2 * 4 + 7) + (2 * (5 * 5 * 3) * 2 * 9)", 849364),
("(8 + 2 * 8) + 9 * 8 + 7", 719),
("4 * (2 * 3 + 8 + 3 * 5) * ((3 * 3 * 8 + 7) * (7 + 5 + 8) * 6) + (9 * 5) + 8", 3223253),
("7 * (6 * 3) + (7 + 8 + (2 + 5) * 3) + 7 + 6", 205),
("5 + 9 * 2", 28),
("9 * 2 + 8 * (3 * (6 * 7 * 7) * 8) + 9", 183465),
("((2 + 8 + 7 + 6) + 4 * (6 * 5 + 7 * 4 + 5) * 8) * 9 + (7 + 2 * 5 * 5 * 3 * 3) + 3", 299460),
("6 + 3 * 3 + (8 + 4)", 39),
("(8 + (8 * 2) + 4) * 5 * 4 + 5", 565),
("(5 * 5 * 5 * 8 + 8 + 7) + (6 + 9) + 4 * 3 + 4", 3106),
("(3 + (2 * 9 + 2 + 9 + 4) + 2 + (5 + 3 + 2)) * 5 * 3 + 5", 725),
("6 + 3 * ((8 + 7 * 8 * 7 + 9) + 3 + 3 + 9 * (7 + 5 + 9) * 9) + 5 + (7 * 8 + (5 * 7 + 5 * 9 + 4))", 1470089),
("(4 * 9) + 7 * 9", 387),
("(3 + 7) + 2 + (5 * 2 * 4 * 6 + 5)", 257),
("5 * 4 * 2 * ((9 * 4 * 7) * 2 * 3) + 3 + 6", 60489),
("(5 + 2 * 7 * 7) * (4 * (3 * 8 * 2) * 3 * (2 + 3 * 8)) + 4 * 6 + 8 + 7", 47416359),
("7 * 4 + 2 + (6 + 2 * 5 * 2 + 6 * 9) + 7 * 2", 1622),
("8 + (4 * 4 * 7 * 9 + 5 + 6)", 1027),
("(4 + 7 + 8 * 6) + (3 * 5 + 4) + 4", 137),
("6 + 2 + 3 + 2 * 3 + 9", 48),
("6 + ((7 * 6 + 5) + 4 + 9 + (5 + 6 * 6 + 5 * 2 * 9) * (2 * 9)) + 9 + 5 * 2", 48208),
("8 + 3 * 4 * 3 * (3 * 9 * 2)", 7128),
("9 * (7 * 7 * 4) + 3 + (9 + (6 + 6 + 2 + 3 + 5 + 6) * (3 * 7 * 9 * 3) * 6 + 8 * 3)", 379413),
("5 * (9 * 2 + (6 + 2 * 5) + 5)", 315),
("4 + 3 + 9 + 7 + 5 + (3 * (2 + 8 * 6) * 4 + 2)", 750),
("3 * ((2 + 5 + 2 + 6) + 3 + 4 + (7 + 9) * (7 + 8 * 4 + 9) * 3) + 9 + (8 + 6)", 23621),
("8 + 4 * 4 + 7 + ((3 * 9 * 2 + 2 * 8) + (3 + 6 + 2 * 5 * 4 * 8) * 8 * 8)", 141367),
("4 + 4 * ((5 + 3 + 2 * 4 + 7 * 8) * (5 * 6 + 9) + 5 * 3)", 352056),
("7 * 8", 56),
("3 + (5 * 3 + (5 * 9) * 2 + 4) + 2 + 3", 132),
("6 + 8 + 3 + (2 * (6 + 5 + 3 * 8 + 9) * 3 * 9) * (6 * 8)", 314448),
("2 * 9 * 4 * (6 * 2 * 6 * 3 * 8) * 4", 497664),
("6 + (3 * 4 * 7 + 5 * 5 + 2) * 4 + (6 * 5 * (6 + 2 + 9 + 6 * 8) * 2 + 5) + 4", 12861),
("6 * ((6 + 4) + 9 * 5 * 3 + (9 * 5)) * (4 + 2 * 7 * (4 * 9 * 3 * 8) * 4) + 3", 287400963),
("7 * 2 + 6 * (3 * 6 + 6 * 5) * 7 * 7", 117600),
("3 + 8 * (3 * 2 + (9 * 3 + 8 * 7 + 8 + 4) + 6 + 3 + 5) + (6 + 8 + 7 * 3) * 9 * (4 * 3 * 6 + (9 + 9 * 9 * 2 * 6) + 4 + (6 * 4 + 5 + 9 + 9 + 7))", 58051260),
("4 * 8 * (8 * 5 + 3 * 6 * 7 + 9) * 9", 522720),
("8 + 4 * 9 * 4 * 8", 3456),
("(3 * 7 + (5 * 2 + 7 + 5 * 6) + 9 * 5) * 6 + 6 + 2 * 5", 24340),
("(8 + (4 * 8 * 8) * 7) + 4 * 8 * ((4 * 4 * 5) + 8 + 8 + 2) + ((6 * 8) * 8 * 8 * 8 * 2) + 8", 1501128),
("4 * (6 + 2 + 6 + 9 + 7) * 4 + 7 + 9", 496),
("5 + (2 + 6 * 8 + 5) + (6 + (8 + 9 + 5) * 4 * 3) * 4 * 5", 8200),
("9 * 6 + 5 * (4 + 2 + (7 + 9 * 6)) + 5 + 6", 6029),
("8 + ((8 + 3 + 5 + 3 * 8) + 5 + 3) * 4 * 3", 2016),
("2 + (3 + 5 * (8 * 2) + 8 + 5) * 8 + 4 + (8 + (9 + 8) + 8 * 9 * 7) + 9", 3236),
("7 * (4 * 2 + 5) * 8", 728),
("3 + 5 + 7 + (6 + 2 * 7 * 7 * 5) + ((3 * 4 + 8 * 5 + 6) + 4 * 5)", 2525),
("(9 + 6) * 7 * (9 + 3 + 4 * (8 + 8 * 3 + 6 + 8 * 2))", 208320),
("2 + (6 + 5 + (7 * 5 + 5 + 9 + 7 + 6) + 2 + 2 * (8 + 8))", 1234),
("4 * 9 + 2 * 9 + 9 + 8", 359),
("((2 * 7 * 5) * 8) * 8 + 4 + 8 * 4", 17968),
("7 * 5 + (8 + 9) * 3 * 6", 936),
("8 + ((9 + 7 + 8) + (8 * 5) + 2 + 7 + 3 + 3) + 3", 90),
("6 * (5 * (7 + 6 + 5 * 9 + 8 * 5) * 6) + 7 * 9 * ((2 + 5 * 8 * 2 + 3) * 3 + 7 + 5 * 3) * 2", 2949668946),
("3 * (3 + 5 + 4) * 6 * 9", 1944),
("6 + ((8 * 5 + 3 + 9) * (5 + 2 * 4 * 5 + 5) + (2 * 3) + 4 + 7) + 7 + 8 * 6 + 4", 45472),
("((9 * 2 + 8 * 9) * 4 + 5 * 3 * (8 * 2 * 7)) + (7 + 4 * 2 + 6) * 9", 2845836),
("(6 * 5 + 7 * (5 * 5 + 4 + 7 * 7 + 6) + 2) * ((4 + 6 * 5 * 6 + 7) + 9 + 5) * 7 * (4 + 7 * 6 + 5) * 5", 7616296380),
("8 * (3 * 6 + 5) + 9 * (9 + 6 * (4 * 6) + (7 + 8 + 5 + 3)) * (3 * 7 * 8 * 2) + 9", 24836793),
("8 * 3 + (5 + 3) + 8 * 4 + (4 + (7 + 9 * 5 * 3) * 6 + (7 + 5 + 4) + 8 * 8)", 12064),
("2 * 3 + ((8 * 8 * 8 + 4) * 7 * 7) * 5 * 8", 1011600),
("(6 * (7 + 3 + 8 * 5 + 2) + 2 * 4 + 5 * 5) * 2 * (8 + 3 + 3 + (6 + 4) * (9 * 3)) + 6 * 9", 129528774),
("8 * (7 * 6 * 8 * (3 * 6 + 4 + 6 + 2 + 2) * 6) + 8 * 8 * 6", 24772992),
("(7 * 5 * 5) * 7 * ((3 + 6 + 3 + 4 + 2 * 2) * 8 * (7 + 9 * 9 * 9))", 457228800),
("((5 + 7 * 9 * 2 + 7) + 7 + 5 * 6 + 3) * 6 * 2 * 3", 50868),
("5 + (5 * (9 + 9) + (7 * 7 * 4 + 2) * 3)", 869),
("((8 * 8 + 2 + 8 * 9) * 5) + (2 + (9 * 6 + 9 + 7) * 7)", 3834),
("3 + ((7 * 4 * 4 * 5) * (8 + 3 * 4 + 4 * 9) * 5 * 3 + 7) + 4 * 2 * 7 * (3 * 6 * 6)", 5486766768),
("((9 * 7 + 6 + 7 * 9 + 2) * 4 + 3 + 4 + 4 * 6) * 8 + (4 + (8 + 2 * 6 * 4 * 3)) + (5 + 2 * 6 * (4 * 5 + 4 + 2)) + 4 * (6 + 3 * (2 * 2 * 6 * 3) + 8 + 4 * 5)", 442398000),
("(5 * (7 + 9 + 5) + 6) * 5 * (6 + 7 * 9 + 6) * 9 * 5 + 9", 3071934),
("(4 * 4 * 6 * (5 * 8 + 3 + 8) + 5) + (9 * (3 * 9 + 3 * 9) + 5 + 8 + 2 * 3) * 3 * 2 + 8 * 5", 367120),
("7 + 5 * (3 + 8 + 6 * 9 + 5 * 8) * ((9 * 9 * 4 * 9 + 3) * (6 + 9 * 5) * 8 + 4 + 6)", 26565386880),
("7 + 8 * ((3 + 7 * 5) + 3 * 2 + 2 * 3 + 7) * 9 + 8 * 7", 312851),
("3 + 4 + (5 * (9 + 9 + 3 * 6 * 4 * 3) * 4) * (4 * (7 * 6 * 3 + 5 * 2 * 9) + (7 * 3 + 5))", 286076126),
("3 * (2 + 8 + 2) * 6 * (4 * 4)", 3456),
("2 + 2 + 3 * 5 + (3 + (6 + 2) + 9 + 7) * (3 * 3 + 5 + 8 + 7)", 1798),
("4 + 5 + 6 * 6 * 6 + (3 * 2 * 3 * (2 * 6 + 9) + 6 + (5 + 2 + 9 * 6))", 1020),
("((4 + 9) + 2) * 7 + 3 * 4", 432),
("2 + 6 * ((2 * 7 * 8 * 3 + 8 + 4) + 9 + 6 + 9 * 2 + 9) + 7 * 6", 36186),
("9 * 7 + ((2 + 5 * 2 * 7 * 8) + 6 * 2 + 3 + 4) * 5 * (5 + 2 * 7) * 8", 3234000),
("4 * (8 + 5 * 6 * 8) + 2 + 3 * 7", 17507),
("(2 * 2) * 9 * 6 * 3 + 9", 657),
("9 + 2 * (7 + 5 + 7 + (3 + 7 * 2 * 2 + 3) * 3)", 2046),
("(2 + 5 * 9) * (4 * (9 + 2 * 4 + 3 + 2) * 2 + 8 + (6 * 7 + 9 + 5)) * 3 + 8", 86192),
("(6 * (6 + 7 * 7) + 7 * 6 * 7) + ((7 * 6 * 4) * 6 * (8 + 8 + 5 * 7 * 8 + 8) + (4 + 5 * 5 + 5 + 3 * 9) + 8)", 1217183),
("9 * (6 * 9 * (8 * 2 * 6) + 4 * 4)", 186768),
("(5 + 5 * 5 + 8) * 6 + 5 * 2", 706),
("4 + ((8 + 7) + 5) + 6", 30),
("9 + 6 * (7 + 4 + (9 + 4 + 2 + 8)) + (8 * 5)", 550),
("(3 * 8 + (6 + 9 * 8 + 6)) + 3 + 4 * 8 + 5 * 3", 3783),
("3 + 6 * (7 * 8 * 6 * (5 + 8 + 6) + 5 * 4) * ((8 + 9 + 6 * 8) * 9 + 6 * 6 + 2 * 2) * 4", 18352479168),
("7 * (6 * (5 * 5 + 9 * 7 + 5 + 9) + 8 + 9 + 2 * (6 * 7 * 7)) * 3", 9452394),
("4 + 2 * (5 * (3 * 8 * 3) * (5 + 9 + 8 * 9) + 9 + 7) * 7 + 5", 2994437),
("6 * 5 * (5 * 3 * 9 * 4 * 2) * 9 + 7 * 4", 1166428),
("3 * (4 * (7 + 2) + 4 + 6 + (3 + 6 + 6 * 5)) + 5", 368),
("7 * 7 * (5 + 9 + 9) * (8 * 6 * 5 + 4 * 2)", 549976),
("6 + (9 * 4) * ((4 * 2 * 4 * 4 * 6 * 7) + 9 + (2 * 9 + 9 + 9)) + 2 + 4 + 4", 227692),
("9 * (6 * 5 + 9 * 2 * 4) + 7 + 8 * 8 + 9", 22593),
("(6 + 7 + 8 * 2 * 4) * 5 + 2 + 2 * 5 + 6", 4226),
("8 * 7 * (9 * 2 * 4 + 3 + 4 * 4) + (8 * 8 + 9 + 6) + ((7 * 7 + 2 * 9) * (2 * 8 + 2) * 6 * 6) + 8", 315215),
];
// Find shortest failures first, that should make it easier to understand.
ts.sort_by(|l, r| l.0.len().cmp(&r.0.len()));
for (input, want) in ts {
let got = parse_part1(&lex(input));
assert_eq!(got, want, "got {}, want {} for {}", got, want, input);
}
}
#[test]
fn comprehensive_part2() {
let mut ts = vec![
("(7 * (3 + 8 + 8 + 7) + (6 + 8 * 2 + 5 + 2 * 6) * (5 + 2) * 9) + ((7 * 4 + 8) * 6 * 8 + 9) * 7 * 2 * 2", 9896040),
("6 * ((9 + 4) * (6 * 7 + 5 + 8 * 2))", 18720),
("7 * 8 + 2 + 8 * (8 * 4) * (4 + 8)", 48384),
("(9 + 3 + 2 * 5 * 8) + 9 + 5 * 2 * 5 * (6 * 6 * 4 + 6 * 9 * 3)", 55792800),
("6 * 6 * 4 * (6 + (3 * 9 * 2) + 9 + (4 + 7 + 7))", 12528),
("7 * ((4 * 6 + 4 + 6 * 8 + 6) + (2 * 7 * 8 + 5 * 3 + 7) + (5 * 5 * 5 * 7) + 8 * 7)", 176351),
("(8 + 9 * 7 * 9 + 6) + (7 + 5) + 6", 1803),
("5 * (6 * (3 + 2 + 9)) + 8 + 3 + 5 * (4 + 3 * 8 * 8 * 6 * 2)", 2688000),
("4 + (3 + 4 * (4 + 9 + 3) * (4 * 8 * 4 * 9))", 129028),
("4 * 4 * 6 * 2 + ((8 * 4 * 3 + 6) * 5) + 6", 139008),
("(8 * (8 + 5 + 5 * 7) * 9 + 2 + 9) * 4 + 9 * ((3 + 3) + 8) + 9", 6027840),
("((9 + 8 * 3 + 2 + 9 + 8) * 3 + (3 + 7 * 6) * 9 * 2) + 3 * 7", 2968833),
("5 + 5 * (5 * (6 + 6 + 6 + 7) * 7 + (9 * 4) * 4 * (8 * 9))", 15480000),
("7 * (2 * 7 + 3 + 5 + 5 * 2) + 4 + 3 * 3 + 5", 4872),
("(4 + 5 * (2 * 4 + 5 * 2 * 7 + 5) + 2 + 9) + 4 + 9 * 9 * 3", 108000),
("7 * 6 + (6 * 2 + 4 + 5 * 8) + (6 * 2 * (4 * 7 * 2) + 9 * (5 * 2 * 4) + (3 + 2 * 5)) * 8", 2869104),
("2 + ((9 * 3 * 3 * 3) * (5 * 9 + 6 + 7 + 6 + 8) * 3)", 131222),
("7 * ((9 + 7 + 4 * 3 * 4 + 4) + 4 * 3) * 5 * 3 * 7", 1067220),
("8 * (3 + 5 * 9 + 4) * 6 + 4", 8320),
("7 + 6 * 7 * ((7 * 6 * 2) * 3) * 5 * 7", 802620),
("8 + 5 * 4 * (3 + 5 * (8 + 5 * 2) + 6) + 6", 13624),
("4 * 8 + ((3 * 5 * 4) + 7) + (4 * 2)", 332),
("((5 + 8 + 7 + 6 * 6 + 3) + 4 * 3 * (5 * 2) * 5 * (2 * 9)) + 6 + 3 * (2 * (2 + 4 + 8) * 4) + (9 + 3 + 6 * (9 + 5 * 6 * 3 * 8 * 5) + (4 * 6) + (6 * 3 + 2 + 8))", 117846779292),
("(3 + 4 + 8) + 6 * (7 * 6 * (9 * 3 * 5 * 5 * 4 * 5) + (6 + 4) * (5 * 2 * 3 + 3) + (2 * 7)) + 2 * 4", 3527082888),
("6 * (6 * 9 * (3 * 9) * 4 + 9) + 6", 113760),
("4 + 6 * 7 * ((3 + 5 + 3) * (6 + 3 * 9 + 6 * 8 * 9) + 6 * 4) * 8", 239648640),
("5 + (6 + 9 * (7 * 8 * 8 * 3 * 4) + 2) * 4 * 2", 645400),
("(2 * 7 * 6 + 9 + (3 * 6 + 4 * 7 + 5) + 8) + 7 + 7 * 8", 43008),
("2 + (6 + 4 + (5 + 5) * 7) * 2 + 7 * 5", 6390),
("4 + 9 * 3 + 8 * 6", 858),
("(5 + 5 + 9 * 8 * (4 * 5 + 6 + 3 * 8 * 3) + 6) + 9 + 9", 205218),
("(8 * 4 * 7 + 9 + 6 * 9) * (9 + 2 * 2) + 3", 158400),
("((9 * 4 + 8 + 4 * 2 + 2) * 3 + (6 + 9 * 5 * 4) * 4 + 6 * 5) * 5 * 3 * 5 + (3 + 5 * 4)", 4843152000),
("5 + (5 * 3) * (2 + 8) * (3 + 6 + 4 * 6 + 7 + 7) * 5 * 7", 1820000),
("6 * 6 * 7 * (5 * 4 + 2 + 6 + (8 + 6 + 4 + 9 * 5))", 185220),
("2 * 9 + (2 * (8 * 7 + 6 + 5 + 3) + 2 + 9 * (3 * 9 * 4 * 7 * 7 + 5) + 3) + (4 + 6 * 4 + 6)", 6497918),
("(9 + (8 * 8 + 2 + 2 * 6 + 6)) * 8 + 4 + 3 + (9 + 3 + 9 + 9 * 4 * 8) * 2", 2263950),
("8 * 4 * (4 * (3 + 7 * 7 + 3) + 8 * (5 + 2 + 3) * 2) + 9", 276768),
("5 + (6 * (3 * 3 + 7 * 3) * (4 * 4) + 2 * 4 * 4)", 155525),
("3 + (5 * 8 * 9 * 3 + 9 * (6 * 7)) * 9 + 3", 2177316),
("3 * (9 * 3 + (5 + 4 * 7 + 3 + 8)) + 4 * 2 * 3", 26802),
("8 * 9 + 6 + (7 + 7 + 9 * 8 * 5 * 6) * 5", 221400),
("(8 + 9 + 3 + 7 * 7) + 2 + 9 + (8 + 7 + 4 + 2) + 9", 230),
("4 * (2 * (7 * 4 + 2 + 9 + 6 + 7) + (4 + 2) * 3 + 9 + 6) + 6 * 4 + 7 * 5", 1601160),
("(3 * 4 + (5 * 8 * 2) * (7 + 8)) + 7 + 8 + 5 + ((6 * 9) * 4 * 5)", 4880),
("4 + ((9 + 9) + (7 * 8 + 2 * 8 * 2) + 9) + 2 + 7 * 2", 2320),
("8 * 3 * (9 + 5 + 8 + 5)", 648),
("4 + 4 + (6 + 2 * 7 + 9 + 6 * 5)", 888),
("((8 + 3 * 8 * 2) + 7 + 7 * (7 * 7 * 7 + 3) * 9 * (9 * 4 + 7)) + 4 + 6", 82952110),
("6 + (7 * 2 + 4 + 5 + 4) + 9 + ((7 * 9) * 7) * 5", 2805),
("(7 * 3 * 2) * ((9 + 6 * 2 * 6 * 3) + (6 * 7) + 3 + (6 + 5 * 5 + 4 + 9 * 6) * 4 + 9) + 4 + 7 + 6", 968772),
("9 * (3 * (9 + 8)) * 4", 1836),
("6 * (4 * 2 * (9 * 5 * 4 + 7 + 9) + 6 + (3 + 6 * 2)) * 5 * (3 * (2 + 6 * 8 * 6 + 3 + 7) * 8 * 7 * (9 * 8 * 7 + 7 + 9) * 7) + 3 + 6", 442232672777280),
("7 + 3 * ((6 * 3 * 9) + 3 * 9)", 14850),
("7 * ((4 + 4 * 4 * 9 * 7) + 2 * 9) * 8 * 6 * 6 + 3", 54921888),
("6 + 5 + (5 + 3 * (3 + 7 + 9 * 3) * 6) + 3 + ((2 * 3 * 4 + 4) * 6 + (3 + 3) + 2)", 3422),
("9 + ((8 * 9 * 3 * 2) * 5 + 8)", 5625),
("(2 + 7) * 3 * (8 + 5) + 9", 594),
("4 * (5 + 4 + 6 * (9 * 4 + 8 * 4 * 7 * 3) * (4 * 4 * 6) * (9 + 7 + 8 * 4)) * (4 + 4 + 9 + 8) + 7 * 8 + 5", 2086844497920),
("((7 * 4 * 4 * 3) * 4 + 2 * 2 + 2) * 9 + 9 * 8 + 9", 2467584),
("4 + 6 + 2 * (5 + 3 + 8 * 4)", 768),
("((7 + 6) + 3 * 3 * 5) * ((9 * 3 + 5 + 8) + (3 + 8 * 8 + 7 + 5 * 6) + 2 * 5 + (7 + 9 + 2)) + (4 * 2 * (5 + 8 + 5 + 3) * 5 + 6 * 2) + 6 * 5 * (2 * (9 + 4) * (7 * 8) * 8 + 7)", 980703360000),
("6 + 5 + 5 + 2 * 5", 90),
("5 + 5 + 8 * 8 + 2 + 6", 288),
("(3 * (4 * 6 * 8 * 2)) + 3", 1155),
("(5 + 6 * 3 + 5 * 2) * 5 * (3 * 5 + 2 * 7 * 9 * 3) + 5 * ((6 + 2 * 7 + 2 + 4 + 2) * 9 + 6) + 7", 6319295840),
("(7 + 7 * 4 * 7) * ((8 * 5 * 9) + 6 * 9 + 3 * 3 * 9) * 8 * ((3 * 5 * 2 + 6 + 5) * 7 + (6 * 2 * 7 * 7) + 8 + 8 + 6)", 44742672898560),
("(3 * 6 + 7 + 6 + 3 + 7) * 4 * 7 * ((9 + 3 + 6) * 5 + 3 + (5 * 7 + 4 + 5 * 2) + 5) * 5 * 9", 341356680),
("7 * ((7 + 6 + 2 + 9) + 3 * 4 + 9 + 2 + 2) + 2", 3227),
("3 * 8 * 2 * (6 * 2 * 2 + 4 * 8) + 8 + 7", 28368),
("8 + 3 + ((4 * 6 * 5 * 7) * 9 + 9 + 8 * 4)", 87371),
("(6 + 4 + (6 + 3 + 3 + 3) + 6) * 9", 279),
("2 * 6 * (5 + 2) * (6 * 6 + 7 + 2)", 7560),
("4 + (8 + 2 + 4) * 4 * 5 + (9 * 5 + 9) + 8", 10008),
("6 * 3 * 9 + 6 + (2 * 4 * 3 + 2 * 5 * 3) * 6", 66420),
("2 + (8 + 5 * 7 + 4 + 7 * (2 + 9 * 6 * 5 * 3 + 3)) + 9 * 4", 1853324),
("(9 + (2 + 6 + 7 * 4 * 8) + 9 * 4 + 9) * 3 + 8 * 8", 569712),
("2 * (9 * 5 * 9 + (8 * 9 + 5)) * 8 * 8", 696960),
("3 + 6 + 2 * 3 * 9 + 9", 594),
("8 * 7 + 8 * (5 + 6) * 5 + 4", 11880),
("4 * (6 * 2 * (3 + 6 * 3) + 7 * 5 + 6)", 17952),
("(7 * 3 * 7 * 4 * 3 * 2) * (9 + 8 * 9) + 9 * (4 * 5 + 3 + 5 + 9)", 50295168),
("9 + 8 * 3 * 4 + (9 + 8 * 9) + (4 * (6 * 4 * 9 * 5 + 6 + 4) + 8 + 7 + (4 * 9))", 679371),
("2 * (4 * (3 + 4 + 8 + 5) * 8 * 6)", 7680),
("8 * (8 * 2 * 6 + 6 + 6) * 8", 18432),
("(9 + 3 * 4 * 9 + 5 * 5) * 4", 13440),
("(9 * 9 * 4 * 4 + (6 * 2) + (3 + 3 * 2)) + 3 + ((2 * 3 + 8 * 4 * 8 * 2) + 2 + 3)", 10488),
("7 * (9 * (6 + 3 + 7)) * ((8 + 3 + 3 * 3 + 3 + 7) + 4 + 5 + 3 * (6 * 4 * 6 * 6 + 2 * 5) + (2 + 3 + 9 + 3 * 6 + 4)) + 6", 1159629408),
("8 + 6 * (3 + 5 + 6 + 9) * 4", 1288),
("(6 + 7 + 7 + 7 * 6 + 5) + 3 * 5 * 4 * 5 * 6", 180000),
("(2 * 9 + 9 + 3 * 7 + 6) + 3 + 7 + 4 + 9", 569),
("(7 + (8 * 7 * 4 * 7 * 2 + 4) + (5 + 2 * 2 + 2 * 2 * 6)) * 3 * 4 + (4 * 2 + 4 * 6 + 3 * (8 * 6 + 4 * 3 * 7)) * 6", 63692673912),
("2 * (3 * (5 * 7 * 8 * 7 + 8) + (6 * 3 + 5) + 5 + 9)", 25572),
("8 * 4 + ((7 + 2 + 8) + (2 * 8 * 4 * 4 + 4 * 7) * 2) * 5 * 4", 1152960),
("2 * 6 * 2", 24),
("2 + (2 + 6 * 5 * 9) + ((8 + 2 * 6 * 5 * 5) * 7 + 3) + 3", 15365),
("((9 + 4 + 6 * 3 + 9) * 5) * (7 * 2 * 7 * 5 * 2) + 7 + 9 + 7", 1143420),
("2 + 2 * 8 + 8", 64),
("4 + 6 + 4 * 7", 98),
("4 + 5 + 5 * 8 * (8 + 4 + (2 * 8 + 9 * 9 + 4 + 5))", 69888),
("(7 + 2 + (8 * 4 * 2 + 9 * 6) * 4) * 2 + (9 * 2 * 8 * 9 * 4)", 43998024),
("4 + 9 + 6 * (4 * 6) + 7", 589),
("6 + 4 + 8 * (7 * 9 + 7)", 2016),
("3 * 2 + 2 + 9 + (2 * 9 * 2 * 8 * 2 * (2 + 8 + 9 * 9 + 7)) * 7", 3677457),
("9 + 9 + 5", 23),
("(2 + 3 * 3) + 7", 22),
("(9 * 7 + (8 + 8 * 6) + 2 * 7 * 3) + 6 * (5 * (2 + 9 + 9 + 6) + 6) * 8 * (4 + 4 * 6 * 5 + 5) * 8", 97571635200),
("7 + 4 + (4 * 2 + (2 * 7 + 2 + 4 + 2 + 5) + 9 * (9 * 7 + 7)) + 9 + 7 + (8 + 9 * 7 + 2 + (7 * 8 * 5 * 4 + 6 + 8))", 111564),
("(8 * 3) * (9 + 2 * 7 * 7 + 7) * 6 * 8 + 8 + (9 + 9 + 3 * 5 + 3)", 28562688),
("4 * 5 + 2 + 4", 44),
("((7 + 3 * 8 + 3) * 8 + 4 + 4 * 4 + 8) * 5 + 9 * (3 * 9 + 8 * 7 * 9 * 4) + 7", 3802149120),
("(8 + 6 + 7 + 9) + 8 * 6 * (5 + 2 + 3) * 8", 18240),
("(9 * 8 * (6 * 5) + 9) + 4 + 8 + 8 * 8", 22624),
("(4 + 5 * 9) * 7 + 7 * 6 + 8 * (2 + 5 * 8)", 889056),
("(4 + 3 + (6 + 2 + 2 + 6 * 6 * 2) * 4 * 2 * 9) + 3", 14331),
("8 * (5 + 8 + 2 * 7) + 2 + ((5 * 6 + 4 + 7 + 6 * 5) * 7 * 3 + 8)", 355056),
("2 + 5 + (6 * 3 + 2) + 8", 45),
("2 + 9 * 6 * 5 + 5", 660),
("3 * 3 + 7", 30),
("(9 + 4 * 9) + 5 + (2 * 6 * (6 + 9) + 2 + 6) * 2 * ((9 * 6 + 7 * 3) + 5 * 2 + 3 * 9)", 12751920),
("2 + 6 + ((6 * 9 * 9 * 8 * 9) + 9) * (5 + 2 * 5 * (3 + 5 * 8 * 5 * 2 * 9) * 8) * ((7 + 9 + 3 + 6 + 5) * 4 * 5)", 33877509120000),
("3 * 9 * (5 + (3 * 4 * 2 + 8) + 5 * 3) + 4", 10638),
("9 * (9 * 3 + 3 + 4 + 7 + 4) + 3", 1728),
("2 * 9 + 3 * 9 + 5 + 9", 552),
("(6 + (6 * 6 * 6 + 7 + 7 + 5) * 5) + 3 + 4 * 9", 40833),
("(2 * 8 * 8 * 6 * 8) + (5 + (5 * 6) * (8 + 5 + 7 * 7 + 2) + (6 * 4 + 7 + 5) + (3 + 5 + 8 + 6)) * 8 + ((8 * 3 + 3 * 7) * 4 + (3 * 8 * 4))", 557018992),
("4 + ((9 * 2 * 9 * 9 * 7 + 5) * 6) * 7 * 7 + 5 * 8", 70546560),
("(3 * 6 + 6 * (5 + 6 * 4 * 6 + 2 + 9)) * 9 * 9 + (2 * 7 * 2 * 5)", 36110448),
("6 + 2 + (8 + 6)", 22),
("6 + 3 * (3 + 3) + 8 * (9 * 6)", 6804),
("(2 * 8 + 4 + 5) + 7", 41),
("7 + (2 * 9 * 5 * 6)", 547),
("2 + 9 + ((7 + 3 + 3 * 9) * 6 + (5 + 2 + 8 + 5 * 6) * 7 + 8)", 221141),
("((4 + 9 + 8 * 6 + 8 * 9) + 8) * 6", 15924),
("9 * (9 * 3 + (3 * 8 * 8 * 7) * (4 + 8) + 8 * (5 * 3 + 2 + 4 * 3))", 294588900),
("9 * (7 + (3 * 5 * 5 + 3 * 7)) + (5 * 3 + (4 * 7 * 7 + 8) * (3 * 7 * 5 * 6) * 8) * 5 + (2 * 7) * 4", 7291745748),
("4 * ((2 + 3 * 2 * 2 + 3) + 4 * 4 * 4 * 5 + (3 + 3 * 9 * 9 + 7)) * 9", 27029376),
("8 + 7 * 4 * 3 * (5 + 9 + 8 * 7 * 3)", 83160),
("9 + (4 * (2 * 6 + 7) + 5 * 4 + 8 + (6 + 7 * 8 * 2)) + 9 + 5 + 8", 27311),
("3 * ((5 * 2 * 8 * 7 * 2 + 4) * (3 * 3 * 5 + 2) + 7 + 8) * 8 * 2 + 3", 31449600),
("(8 * 2 + 5 + (4 * 9 * 7)) * 5 + (9 * 8) * (5 * (7 * 8 + 4 * 4) + 3)", 270427080),
("((7 * 6 + 9 + 7 + 9 + 9) * 2 * 8 + (6 + 4 * 7 * 2 * 2) * 7 + (2 + 9 + 9 + 5 + 4)) * 5 * 2 + 7", 261273600),
("7 + 2", 9),
("4 * ((2 * 6) * 5 * 5 + 9 * (7 * 7 * 3 + 8)) + 2", 1811048),
("6 * 8 + 5 + 4 * (5 + 8)", 1326),
("4 + 6 * (4 * 5 * 3 * 5 * 5 * 6) * 8 * 5", 3600000),
("7 + ((6 * 6 + 2) + 7 * 7 + 7 * 9 * 6) + 6", 41593),
("(7 + 3 * (2 * 5 + 3 * 9)) + 2 * 2", 2884),
("6 + 3", 9),
("2 * 8 * (3 + 8 * (4 + 6 * 4) * 8 * 2)", 112640),
("8 * ((4 + 8 * 5 + 7) + 6 + (4 + 8 + 4 + 9 * 7 + 9) + 2) + 5", 4456),
("(7 + 7 + 2 + 3 + 6 * 3) * ((7 + 5 + 8 + 5 * 6) + 4 + 6 * (3 + 3) * (4 + 6 * 9 * 6 + 4) * 7) * 3 * 9 + 5 + 4", 24494400000),
("5 * 7 * (5 * (2 + 5 * 7 + 7 * 5) + 9) + 3", 87430),
("8 + 2 * 4 * 3 + (8 + 3 + 4 + 3 + 2 * (4 * 5)) * 5", 80600),
("3 + (8 * 3) * 7 + 4 * 5 * 2", 2970),
("(7 * (7 * 2 * 7 * 3) * 3 + 2 + 7 * 6) * 4 * 6 + 6 + 6", 10668672),
("(5 + 2 + 2 * 8 + (2 * 9 + 7 + 3) + 5) * 9", 4131),
("(6 + (7 + 8 * 2 + 9) + (7 * 3 * 4 * 5) + 6 * 3 * 4) + (3 * 2 * 5)", 7194),
("4 + 7 + (8 * 7 + (5 * 4))", 227),
("8 * 2 * 5 * (9 + 4) + (3 * 7)", 2720),
("(3 + 4 + 8 + 6 + 2) * 9 + 6 + 6 + 3", 552),
("(9 + (3 * 4 * 5 * 8 + 5) + (5 + 8)) + 5 * ((2 + 5) + (7 + 9) * 2) * (6 * 3) + 8", 965172),
("9 * (3 + 9 + 8 * (9 + 7 + 9 + 8 * 6) + 8 * 8) + 2", 296658),
("7 * ((9 * 2 + 8 * 4 + 7) * 4 + 3 + (5 * 3 * 5 + 3 + 4)) * 5 * 7", 45356850),
("5 + 2 + (8 * 8) + 8", 79),
("4 * (4 * 9 + (7 * 6 + 2 * 2 + 5 + 8) * 9 + 7) * 3 * 7", 4564224),
("9 + 9 + (4 * (8 + 2 * 5 * 9 + 9 * 2) * 4 * 7) + (6 + 2) * ((8 * 7) + 9 * (7 + 7 * 7) + 2 + 5 + 2) + 6", 1403518586),
("9 + 4 + (3 * 9 * 3 * 9) + (3 + (2 + 9 + 9 + 8 + 7) + 5 + 9 * 3) * 7 * (4 + 7 * 8 + 7 * (4 * 2 + 5 * 8 + 9 + 8) + 3)", 729144570),
("6 + (2 + 6) * (6 * 2 * 2 + 7) * 4 * 6", 36288),
("6 * (2 + (6 * 7 + 7 * 9) * 6) * 3 * 8 + 3", 900504),
("8 + (5 + 4 + 6)", 23),
("9 + 2 * (5 * 5 * 5) * 2 * 5", 13750),
("4 * 4 * ((3 * 3) * (9 + 7 + 5) + 5 + 9) + 7 * (4 * 2 * 4) * 7", 1154048),
("((4 * 5 * 7 * 7 + 3) * 9) * (6 * (7 * 8 * 7 + 3 + 7) + (4 * 2 + 3 + 3) * 4 + 6)", 743904000),
("4 * 2 + 3 + 2 * (2 + 2 * 2 * 8)", 1792),
("4 + ((3 + 8) * 7 + 2 + (9 + 4 + 9 + 3 + 4 + 6) * (7 * 5 + 8)) + 4 + 5 * 8 + 2", 440570),
("(5 * 2) + 3 + (3 + 9) + 4 + 4 * 5", 165),
("6 + (5 + 8 + 6 + (7 + 5 + 9)) + (3 * 5 + 8 * 3 * 4) * 4 + 4 + 5", 6682),
("((7 + 4 * 6) * 7 * 2 + 6) * 7 + 8", 55440),
("7 * 5", 35),
("2 + 9 * 4 + 9 + 4 + (8 * 9)", 979),
("5 + 5 * ((5 + 6) + 2 * 4) * (8 + 8 * 5) + 3", 43160),
("5 * 5", 25),
("4 * 3 * 4 + 3 * (7 * 9) + 4", 5628),
("4 + 4 * (8 * 3 + 2 * 8 + 2) + 4 + 3", 3256),
("(8 + 5 + 4 * 4 + 6 * 9) + 8 * 6 * 3", 27684),
("8 + 6 + 3 + ((2 * 9 + 2) + (7 + 7 + 3)) + 6", 62),
("(4 + 5 + 8) * 8 + (7 * 9 + 3 * 3 + 9 + (8 + 5 + 7 + 3 + 9)) + (3 * 3) * 8", 504968),
("(4 + 4 + 4 * 6 + 4 + 9) * 6 * ((8 + 6 + 3 + 2 * 8 + 2) * 4 + 6 * 8 * 7) * 5", 727776000),
("6 * 6 + 3 * (2 + 7 + 3) * 4 + 5", 5832),
("((2 * 4 + 3 * 3 * 9 * 3) * 7) + 2 + 8 + 6 * 2", 15908),
("5 * (5 * 4) + 6", 130),
("((7 + 6) + 7) + 3 * 2 * 9 * 6 + 4", 4140),
("6 + 8 + ((4 * 9 + 5) * 4) * (5 + 7 + 8 * 8 * 2) + 9", 78302),
("8 * 4 * 8 * 9 * 2", 4608),
("5 + 2 + (8 + 9 * 6 * 7 * 6) * 8", 34328),
("6 * (9 * 5) + (5 + 2 + 6 * 8) * 6 * 6 * (4 + 7 + 8 * 8)", 4891968),
("2 * 3 * 6 * 8", 288),
("3 + (4 + 5 * 8 * 8) * 2 * (9 * (5 * 3 + 8 + 6) * 2 + (5 * 7 * 3) * (4 + 5) + 7)", 1516609440),
("6 * (5 * 4) * 5 + 4 + (6 + 2) + 6", 2760),
("2 * (4 * (7 + 2 + 3 + 3 * 8) * (9 + 3 * 3) + (6 * 8 * 5 * 7) + (6 + 5) + 7) * (3 + 8 + (5 + 4 + 8 + 6) * 3 + 2 + 3) * 8 + (3 * 3) * 9", 69275658240),
("(5 + (4 * 8 * 7) + 7 * (7 * 9 + 2 + 5 + 6)) + 4", 36348),
("6 + ((3 + 9) * 4)", 54),
("9 + ((4 + 4 + 5 * 6) * 8) * 2", 1266),
("(4 + 2) * 3 * 3 + 3", 108),
("5 + 2 + (8 + 7 + 5)", 27),
("6 + (7 + 4 * 9 * (6 + 8 * 8 + 3) * 8)", 121974),
("3 + 3 * 6 * 3 + (4 * (2 + 6 * 7) * 8)", 64620),
("7 * 5 + 8 * 7 + (9 + 4 * (7 + 6 + 2 * 7 * 9) + 9 + 9 * 4) + (3 + 6 + 5 * 6 * 4 + 9)", 4656925),
("5 + (9 * (5 * 7 * 6 * 8) + (8 * 3) * 6 + (2 + 7 * 8)) * (9 + (5 + 7 * 2 * 6 + 9 + 7) + 4 + 8 * 3) * 7", 13791139677),
("(6 + 7 * 7 * 9 * 4) * 3 + (5 + 7) * 7 * 5 * 6", 10319400),
("(9 + 6 * 5 + 3) * (2 + 6 + 6) + 4 * 6 + 3", 19440),
("5 + 8 + ((9 + 8) * (3 * 3 + 8 * 8) * 2 + 3) * 6 * 4", 538872),
("((3 + 9 * 2 * 8 * 7) * 7 * 8 + 3 + 7) * (8 * 9) * 5", 60963840),
("5 + 3 + (4 * 4 * (8 * 8 + 4 * 4) + 4 + 5 * 6) * 4 + 2 + 7", 490568),
("5 + ((6 + 4 + 9 + 3) * 6 + (2 + 4 * 9 + 4 + 7 + 7)) + 4 + 9 * 8", 29712),
("2 + 4 * 7 * 5 * ((5 + 4 + 6) + 4 * 4)", 15960),
("8 * 6 + (4 + 8 * 5 * 6 + 4 * 9) * 9 + (2 + 8)", 821712),
("((8 + 3 * 2 * 6) * (7 + 8 * 8) * 9 + (2 + 5) + 4) * (2 * 9 * 5 + (9 * 4 * 2 + 7 + 8) * 2 + 2) * 6", 84441139200),
("4 * ((5 * 5 + 6 * 8 * 5 * 9) + 4 * (3 + 7 * 6 + 4) * 4) + 2 * ((9 + 8 + 9) + 9 * 2) * 8 + 4", 26616582720),
("2 * 8 * 6", 96),
("(7 + (7 + 8 * 9) * 7 + (5 * 8 * 6 * 9 + 6 * 4)) + ((5 + 9 * 6 + 7) + 8 + 7 + (8 * 7 * 4 + 5 + 2) * 5 + (9 + 3 + 9 * 2 * 6 * 3)) * (4 + 5 * 4) + (8 * (5 * 5) * 9 * (3 * 3) + 5) * 4", 268963975728),
("(6 + 5 + 5 * 5) * 4 + ((8 + 6 + 8) + 5 + 5 + 7 * 9)", 28400),
("9 * (9 * 2 + 4 * 2 * 4)", 3888),
("4 + (6 + 2) * (4 + 2 + 2 * 5) + 2", 504),
("5 * (6 + 8 + 5 * 2 * (7 * 2 + 2))", 5320),
("((7 + 5) * 2 * (3 * 5 * 9)) + 7 * (7 * 5 + 9 * 9 * (5 * 9))", 128873430),
("7 + 5 * (2 * 3 * 4 + 9 * 7 * 9) + (2 + 8 + (3 * 6) * 7 * 7 * (5 * 8 * 7 + 8 * 6 * 9)) * 5", 2667462840),
("9 * 3 * ((9 + 7) * 7 * (2 * 9 + 5 * 9 * 7 + 8) + 6 * 6 + 6) * (9 + 7 + 6 + 9 * 7)", 29812841856),
("8 + 9 * 4 * ((7 * 3 + 6 + 6 * 7 + 9) + 8 * 5 * 2)", 1147840),
("3 * (3 * (5 + 5 + 5 * 2))", 270),
("4 * 4 * 8 * 6 + (3 + (5 + 5 + 5 + 6 * 6) * 8 * 9 + 9) + 3", 2378880),
("(3 + 8) + 4", 15),
("6 + 5 + 3 + ((2 + 5 + 6) + (9 + 5 * 4 * 9) + 6 * 7 + 5)", 6290),
("(6 * 8 * (2 + 2 + 8 + 8 + 2) + 7 + 6 * 3) + ((7 * 3 * 9) + 2 * 4 * 4 + 2) + 5", 9629),
("6 * ((6 * 8 + 3 * 9) + 2 * 9) + 3 * (6 + (3 * 7 * 4) + 4 * (6 * 8 * 3 * 7 + 3 * 8) * 6 * 7) * 6", 8787467243520),
("5 * 8 * (7 * 7 + 4 * 7) + (2 * 4 + (3 * 2 * 4 * 9) + 4 + 2)", 39640),
("(3 * 8) + 3 + 6 + (3 * 3 + 9 * 6 * 8) + 3 + 5", 1769),
("((6 + 5 + 7 + 3) * 7 + 9 * 5) + 9 + 2", 1691),
("3 + 2 * ((9 + 9) * 8 + 5 * (6 + 4 * 6) + 4 + 7) + 9 + 4 * 4", 332540),
("5 * 6 + (5 + 6 * 8 * 5 * (8 * 2 + 7) * (7 * 6 * 2 * 2 * 7 * 6))", 1117670430),
("8 + 4 + 3 + (4 * 7) * 2 * (2 + (3 + 8 + 8 * 2 * 9))", 29584),
("7 + 5 + 3 + ((9 * 9 + 2 * 8 * 6 + 5) * 2) + (3 * 7 + 6 * 4 * (8 * 6 + 8 + 8 + 7 * 3) + (9 + 3 * 8 * 6 + 4)) * (9 * 6 * 9 * 6)", 804159900),
("5 + (2 + (6 * 3 * 3 + 9 * 8 * 8) + 3) + 9 * 6 + 6", 166116),
("6 + (2 + (3 * 5 + 2 + 4)) + 7 * 9 * (8 * 9 * 6)", 186624),
("((4 * 4) + 2 + 7 + (5 + 3 * 2 + 9 + 8 + 4) * 5) * (2 * (6 + 8 * 9 + 7) * 9 + (7 + 5 * 7) * 8) + 6 * 3 * 3", 3134855790),
("(7 * 5) * (5 + 3 + 5)", 455),
("(2 * 6 * 9 + 9 + 6) + 9 * 8", 2376),
("6 + (9 + 6 + 7 * 7 * 3 + (9 + 8 + 2 * 3 + 4 + 7)) + 9 * ((2 * 5 + 4 * 6 * 6 * 7) + (6 + 5 * 4 * 5 * 8) + 9) + ((5 + 7) * 5 * 4)", 271231345),
("(7 * 2 + 7 * 8 * (7 + 6)) * 2 * 2 * 2", 52416),
("(6 + 5 * 2 + 3 + 5) * 8 + 4 + 2", 1540),
("3 + 4 + 3 + 7 * ((2 * 8 * 8 * 3 + 4 + 4) * 8 * 2 * 9 + 4 + 9)", 8425472),
("7 + (5 * (7 * 9 + 7 + 2 * 7) + 9 + 3 + 5 + (8 * 9))", 4862),
("8 * (2 * (8 + 4 * 3) + 7 * 7 + 5 + 8) + 3 + 6 * 8", 110656),
("(8 + 3 * 5) * 6 + 2", 440),
("3 + 8 * ((3 * 8) + 8 + 5)", 407),
("5 * 9 * 5 + ((5 + 6 + 7) + 4) + ((5 + 8 + 3 + 4 + 3) * 8 * 3)", 26055),
("7 * (6 + 4 + (7 + 4 + 4 + 6) * 3 * 3 + 2) + 7 + 8 + 4 + 3", 3409),
("2 + ((3 + 8) + 2 + 9 + 4 * 3)", 80),
("4 + 9 * 3 + 9", 156),
("(7 + (7 * 4 + 7) * (6 * 6 * 9 * 4) * (2 + 5 + 8 + 3)) * 3", 5878656),
("(8 + 2 + 4 * 7 * 3) + 2 * ((6 + 2 + 2) + 7 * 8 * 8 * 5 * 8) + 7 + (5 + 8 + 2 * (9 * 9) + 3)", 13256952),
("8 * 2 + 6 * ((5 * 3) * 6 * 2 * (7 * 2 + 4 * 4 + 9)) + 4", 6290176),
("4 * 3 * (8 + 7 * (2 + 4 + 7 + 4 + 3)) * 9", 32400),
("7 + (6 + (6 + 2) + 8 + 9 + 3) * (3 + 9 * (3 + 5 + 6 + 7 + 6) + (8 * 8 * 7) + 5 + 8) * 9 * 2 * 8", 34573824),
("3 + 6 * (3 * 5) * (9 + 4 * 3) + (5 * 6 + 3) * 6", 68040),
("6 + (5 * 6 * 7 * (2 * 4) * 9) * 7 * 7 * 6 * ((2 * 6 * 2 + 3) + 7 + 9 * 2 + 6 * 6)", 16222816512),
("(4 * 4 * 2) * (4 + 3)", 224),
("7 * 8 * 9 * 6 * 2 + (8 * (8 + 6 + 6) + 3 + 5 + 2)", 731808),
("(9 + 2 + (8 * 9 * 5 + 7) + 3) * 9 * (7 + 8 + 3 * 4 + 5) + 8 * (5 * 5 + (4 + 5 + 5 * 3 + 8) * 4) + (7 + 3 + 7 + 4)", 4300031340),
("8 * (2 * 2 + (8 + 7 * 9 * 2) * (8 * 2 + 5 + 4) * 9 + 8) * 6 + 3 + (4 * 3) * 7", 957057024),
("(5 + 7 + 9 * 6 + 4) * 9", 1890),
("(3 + (5 + 3 + 4) * 3) + 3 + 8 * ((5 * 8 * 6) + (8 + 6 * 4 * 4 + 8) * 8 + 2 * 4 + 7) + (2 * (5 * 5 * 3) * 2 * 9)", 5769120),
("(8 + 2 * 8) + 9 * 8 + 7", 1335),
("4 * (2 * 3 + 8 + 3 * 5) * ((3 * 3 * 8 + 7) * (7 + 5 + 8) * 6) + (9 * 5) + 8", 9101680),
("7 * (6 * 3) + (7 + 8 + (2 + 5) * 3) + 7 + 6", 679),
("5 + 9 * 2", 28),
("9 * 2 + 8 * (3 * (6 * 7 * 7) * 8) + 9", 635850),
("((2 + 8 + 7 + 6) + 4 * (6 * 5 + 7 * 4 + 5) * 8) * 9 + (7 + 2 * 5 * 5 * 3 * 3) + 3", 285114816),
("6 + 3 * 3 + (8 + 4)", 135),
("(8 + (8 * 2) + 4) * 5 * 4 + 5", 1260),
("(5 * 5 * 5 * 8 + 8 + 7) + (6 + 9) + 4 * 3 + 4", 20258),
("(3 + (2 * 9 + 2 + 9 + 4) + 2 + (5 + 3 + 2)) * 5 * 3 + 5", 2520),
("6 + 3 * ((8 + 7 * 8 * 7 + 9) + 3 + 3 + 9 * (7 + 5 + 9) * 9) + 5 + (7 * 8 + (5 * 7 + 5 * 9 + 4))", 3341124),
("(4 * 9) + 7 * 9", 387),
("(3 + 7) + 2 + (5 * 2 * 4 * 6 + 5)", 452),
("5 * 4 * 2 * ((9 * 4 * 7) * 2 * 3) + 3 + 6", 60840),
("(5 + 2 * 7 * 7) * (4 * (3 * 8 * 2) * 3 * (2 + 3 * 8)) + 4 * 6 + 8 + 7", 165985932),
("7 * 4 + 2 + (6 + 2 * 5 * 2 + 6 * 9) + 7 * 2", 40502),
("8 + (4 * 4 * 7 * 9 + 5 + 6)", 2248),
("(4 + 7 + 8 * 6) + (3 * 5 + 4) + 4", 145),
("6 + 2 + 3 + 2 * 3 + 9", 156),
("6 + ((7 * 6 + 5) + 4 + 9 + (5 + 6 * 6 + 5 * 2 * 9) * (2 * 9)) + 9 + 5 * 2", 81688),
("8 + 3 * 4 * 3 * (3 * 9 * 2)", 7128),
("9 * (7 * 7 * 4) + 3 + (9 + (6 + 6 + 2 + 3 + 5 + 6) * (3 * 7 * 9 * 3) * 6 + 8 * 3)", 7931853),
("5 * (9 * 2 + (6 + 2 * 5) + 5)", 2115),
("4 + 3 + 9 + 7 + 5 + (3 * (2 + 8 * 6) * 4 + 2)", 1108),
("3 * ((2 + 5 + 2 + 6) + 3 + 4 + (7 + 9) * (7 + 8 * 4 + 9) * 3) + 9 + (8 + 6)", 66759),
("8 + 4 * 4 + 7 + ((3 * 9 * 2 + 2 * 8) + (3 + 6 + 2 * 5 * 4 * 8) * 8 * 8)", 2015364),
("4 + 4 * ((5 + 3 + 2 * 4 + 7 * 8) * (5 * 6 + 9) + 5 * 3)", 1689600),
("7 * 8", 56),
("3 + (5 * 3 + (5 * 9) * 2 + 4) + 2 + 3", 1448),
("6 + 8 + 3 + (2 * (6 + 5 + 3 * 8 + 9) * 3 * 9) * (6 * 8)", 617712),
("2 * 9 * 4 * (6 * 2 * 6 * 3 * 8) * 4", 497664),
("6 + (3 * 4 * 7 + 5 * 5 + 2) * 4 + (6 * 5 * (6 + 2 + 9 + 6 * 8) * 2 + 5) + 4", 39189072),
("6 * ((6 + 4) + 9 * 5 * 3 + (9 * 5)) * (4 + 2 * 7 * (4 * 9 * 3 * 8) * 4) + 3", 3971440800),
("7 * 2 + 6 * (3 * 6 + 6 * 5) * 7 * 7", 493920),
("3 + 8 * (3 * 2 + (9 * 3 + 8 * 7 + 8 + 4) + 6 + 3 + 5) + (6 + 8 + 7 * 3) * 9 * (4 * 3 * 6 + (9 + 9 * 9 * 2 * 6) + 4 + (6 * 4 + 5 + 9 + 9 + 7))", 14751552816),
("4 * 8 * (8 * 5 + 3 * 6 * 7 + 9) * 9", 1769472),
("8 + 4 * 9 * 4 * 8", 3456),
("(3 * 7 + (5 * 2 + 7 + 5 * 6) + 9 * 5) * 6 + 6 + 2 * 5", 457800),
("(8 + (4 * 8 * 8) * 7) + 4 * 8 * ((4 * 4 * 5) + 8 + 8 + 2) + ((6 * 8) * 8 * 8 * 8 * 2) + 8", 729806528),
("4 * (6 + 2 + 6 + 9 + 7) * 4 + 7 + 9", 2400),
("5 + (2 + 6 * 8 + 5) + (6 + (8 + 9 + 5) * 4 * 3) * 4 * 5", 8900),
("9 * 6 + 5 * (4 + 2 + (7 + 9 * 6)) + 5 + 6", 11187),
("8 + ((8 + 3 + 5 + 3 * 8) + 5 + 3) * 4 * 3", 2016),
("2 + (3 + 5 * (8 * 2) + 8 + 5) * 8 + 4 + (8 + (9 + 8) + 8 * 9 * 7) + 9", 491400),
("7 * (4 * 2 + 5) * 8", 1568),
("3 + 5 + 7 + (6 + 2 * 7 * 7 * 5) + ((3 * 4 + 8 * 5 + 6) + 4 * 5)", 3975),
("(9 + 6) * 7 * (9 + 3 + 4 * (8 + 8 * 3 + 6 + 8 * 2))", 913920),
("2 + (6 + 5 + (7 * 5 + 5 + 9 + 7 + 6) + 2 + 2 * (8 + 8))", 3826),
("4 * 9 + 2 * 9 + 9 + 8", 1144),
("((2 * 7 * 5) * 8) * 8 + 4 + 8 * 4", 44800),
("7 * 5 + (8 + 9) * 3 * 6", 2772),
("8 + ((9 + 7 + 8) + (8 * 5) + 2 + 7 + 3 + 3) + 3", 90),
("6 * (5 * (7 + 6 + 5 * 9 + 8 * 5) * 6) + 7 * 9 * ((2 + 5 * 8 * 2 + 3) * 3 + 7 + 5 * 3) * 2", 62470245600),
("3 * (3 + 5 + 4) * 6 * 9", 1944),
("6 + ((8 * 5 + 3 + 9) * (5 + 2 * 4 * 5 + 5) + (2 * 3) + 4 + 7) + 7 + 8 * 6 + 4", 404130),
("((9 * 2 + 8 * 9) * 4 + 5 * 3 * (8 * 2 * 7)) + (7 + 4 * 2 + 6) * 9", 22045752),
("(6 * 5 + 7 * (5 * 5 + 4 + 7 * 7 + 6) + 2) * ((4 + 6 * 5 * 6 + 7) + 9 + 5) * 7 * (4 + 7 * 6 + 5) * 5", 210970488960),
("8 * (3 * 6 + 5) + 9 * (9 + 6 * (4 * 6) + (7 + 8 + 5 + 3)) * (3 * 7 * 8 * 2) + 9", 81723600),
("8 * 3 + (5 + 3) + 8 * 4 + (4 + (7 + 9 * 5 * 3) * 6 + (7 + 5 + 4) + 8 * 8)", 8901728),
("2 * 3 + ((8 * 8 * 8 + 4) * 7 * 7) * 5 * 8", 3010800),
("(6 * (7 + 3 + 8 * 5 + 2) + 2 * 4 + 5 * 5) * 2 * (8 + 3 + 3 + (6 + 4) * (9 * 3)) + 6 * 9", 406840320),
("8 * (7 * 6 * 8 * (3 * 6 + 4 + 6 + 2 + 2) * 6) + 8 * 8 * 6", 46451712),
("(7 * 5 * 5) * 7 * ((3 + 6 + 3 + 4 + 2 * 2) * 8 * (7 + 9 * 9 * 9))", 457228800),
("((5 + 7 * 9 * 2 + 7) + 7 + 5 * 6 + 3) * 6 * 2 * 3", 318816),
("5 + (5 * (9 + 9) + (7 * 7 * 4 + 2) * 3)", 4685),
("((8 * 8 + 2 + 8 * 9) * 5) + (2 + (9 * 6 + 9 + 7) * 7)", 7880),
("3 + ((7 * 4 * 4 * 5) * (8 + 3 * 4 + 4 * 9) * 5 * 3 + 7) + 4 * 2 * 7 * (3 * 6 * 6)", 33530122584),
("((9 * 7 + 6 + 7 * 9 + 2) * 4 + 3 + 4 + 4 * 6) * 8 + (4 + (8 + 2 * 6 * 4 * 3)) + (5 + 2 * 6 * (4 * 5 + 4 + 2)) + 4 * (6 + 3 * (2 * 2 * 6 * 3) + 8 + 4 * 5)", 1740572064000),
("(5 * (7 + 9 + 5) + 6) * 5 * (6 + 7 * 9 + 6) * 9 * 5 + 9", 16584750),
("(4 * 4 * 6 * (5 * 8 + 3 + 8) + 5) + (9 * (3 * 9 + 3 * 9) + 5 + 8 + 2 * 3) * 3 * 2 + 8 * 5", 2812950),
("7 + 5 * (3 + 8 + 6 * 9 + 5 * 8) * ((9 * 9 * 4 * 9 + 3) * (6 + 9 * 5) * 8 + 4 + 6)", 119924582400),
("7 + 8 * ((3 + 7 * 5) + 3 * 2 + 2 * 3 + 7) * 9 + 8 * 7", 3784200),
("3 + 4 + (5 * (9 + 9 + 3 * 6 * 4 * 3) * 4) * (4 * (7 * 6 * 3 + 5 * 2 * 9) + (7 * 3 + 5))", 738510752),
("3 * (2 + 8 + 2) * 6 * (4 * 4)", 3456),
("2 + 2 + 3 * 5 + (3 + (6 + 2) + 9 + 7) * (3 * 3 + 5 + 8 + 7)", 15456),
("4 + 5 + 6 * 6 * 6 + (3 * 2 * 3 * (2 * 6 + 9) + 6 + (5 + 2 + 9 * 6))", 214380),
("((4 + 9) + 2) * 7 + 3 * 4", 600),
("2 + 6 * ((2 * 7 * 8 * 3 + 8 + 4) + 9 + 6 + 9 * 2 + 9) + 7 * 6", 900048),
("9 * 7 + ((2 + 5 * 2 * 7 * 8) + 6 * 2 + 3 + 4) * 5 * (5 + 2 * 7) * 8", 125543880),
("4 * (8 + 5 * 6 * 8) + 2 + 3 * 7", 17612),
("(2 * 2) * 9 * 6 * 3 + 9", 2592),
("9 + 2 * (7 + 5 + 7 + (3 + 7 * 2 * 2 + 3) * 3)", 3927),
("(2 + 5 * 9) * (4 * (9 + 2 * 4 + 3 + 2) * 2 + 8 + (6 * 7 + 9 + 5)) * 3 + 8", 37322208),
("(6 * (6 + 7 * 7) + 7 * 6 * 7) + ((7 * 6 * 4) * 6 * (8 + 8 + 5 * 7 * 8 + 8) + (4 + 5 * 5 + 5 + 3 * 9) + 8)", 3465000),
("9 * (6 * 9 * (8 * 2 * 6) + 4 * 4)", 194400),
("(5 + 5 * 5 + 8) * 6 + 5 * 2", 2860),
("4 + ((8 + 7) + 5) + 6", 30),
("9 + 6 * (7 + 4 + (9 + 4 + 2 + 8)) + (8 * 5)", 1110),
("(3 * 8 + (6 + 9 * 8 + 6)) + 3 + 4 * 8 + 5 * 3", 25779),
("3 + 6 * (7 * 8 * 6 * (5 + 8 + 6) + 5 * 4) * ((8 + 9 + 6 * 8) * 9 + 6 * 6 + 2 * 2) * 4", 51279298560),
("7 * (6 * (5 * 5 + 9 * 7 + 5 + 9) + 8 + 9 + 2 * (6 * 7 * 7)) * 3", 55158516),
("4 + 2 * (5 * (3 * 8 * 3) * (5 + 9 + 8 * 9) + 9 + 7) * 7 + 5", 5546880),
("6 * 5 * (5 * 3 * 9 * 4 * 2) * 9 + 7 * 4", 2073600),
("3 * (4 * (7 + 2) + 4 + 6 + (3 + 6 + 6 * 5)) + 5", 1143),
("7 * 7 * (5 + 9 + 9) * (8 * 6 * 5 + 4 * 2)", 973728),
("6 + (9 * 4) * ((4 * 2 * 4 * 4 * 6 * 7) + 9 + (2 * 9 + 9 + 9)) + 2 + 4 + 4", 228858),
("9 * (6 * 5 + 9 * 2 * 4) + 7 + 8 * 8 + 9", 105111),
("(6 + 7 + 8 * 2 * 4) * 5 + 2 + 2 * 5 + 6", 16632),
("8 * 7 * (9 * 2 * 4 + 3 + 4 * 4) + (8 * 8 + 9 + 6) + ((7 * 7 + 2 * 9) * (2 * 8 + 2) * 6 * 6) + 8", 22916544),
];
// Find shortest failures first, that should make it easier to understand.
ts.sort_by(|l, r| l.0.len().cmp(&r.0.len()));
for (input, want) in ts {
let got = parse_part2(&lex(input));
assert_eq!(got, want, "got {}, want {} for {}", got, want, input);
}
}
}