advent/2020/src/day18.rs

573 lines
36 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?
use aoc_runner_derive::{aoc, aoc_generator};
#[derive(Clone, Copy, Debug, PartialEq)]
enum Token {
Num(u64),
Add,
Mul,
Open,
Close,
Space,
}
#[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)
.collect()
}
fn parse(tokens: &[Token]) -> u64 {
/*
let mut p = Parser::default();
dbg!(&p);
tokens.into_iter().for_each(|t| p.add_token(t));
p.eval()
*/
let mut stack = vec![Vec::new()];
let mut cur_stack = 0;
tokens.iter().for_each(|t| {
match t {
Token::Num(n) => match stack[cur_stack].last() {
Some(Token::Add) => {
stack[cur_stack].pop();
if let Some(Token::Num(left)) = stack[cur_stack].pop() {
stack[cur_stack].push(Token::Num(left + n));
}
}
Some(Token::Mul) => {
stack[cur_stack].pop();
if let Some(Token::Num(left)) = stack[cur_stack].pop() {
stack[cur_stack].push(Token::Num(left * n));
}
}
None => stack[cur_stack].push(*t),
c => {
dbg!(&c);
}
},
Token::Add => stack[cur_stack].push(*t),
Token::Mul => stack[cur_stack].push(*t),
Token::Open => {
stack.push(vec![]);
cur_stack += 1;
}
Token::Close => {
// Take the result of this parenthetical group and push it on to the stack one
// level below.
assert_eq!(stack[cur_stack].len(), 1);
let t = stack[cur_stack].pop().unwrap();
stack.pop();
cur_stack -= 1;
stack[cur_stack].push(t);
// If the stack has 3 things, it was waiting for this result.
let len = stack[cur_stack].len();
if len >= 3 {
let s = &mut stack[cur_stack];
match (s.pop(), s.pop(), s.pop()) {
(Some(Token::Num(right)), Some(op), Some(Token::Num(left))) => match op {
Token::Add => stack[cur_stack].push(Token::Num(left + right)),
Token::Mul => stack[cur_stack].push(Token::Num(left * right)),
d => panic!(format!("unexpected op {:?}", d)),
},
d => panic!(format!("unexpected trio from on stack: {:?}", d)),
}
}
}
Token::Space => unreachable!("no space should be present"),
};
});
match stack[cur_stack].last() {
Some(Token::Num(n)) => *n,
d => panic!(format!("Unexpected stack contents: {:?}", d)),
}
}
#[aoc(day18, part1)]
fn solution1(tokens_list: &[Vec<Token>]) -> u64 {
tokens_list.iter().map(|tokens| parse(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,
];
assert_eq!(lex("2 * 3 + (4 * 5)"), tokens);
}
#[test]
fn part1() {
// 1106240272 too low
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),
("((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),
] {
let got = parse(&lex(input));
eprintln!("got {}, want {} for {}", got, want, 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 comprehensive() {
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(&lex(input));
eprintln!("got {}, want {} for {}", got, want, input);
assert_eq!(got, want, "got {}, want {} for {}", got, want, input);
}
}
}