https://twitter.com/tkihira/status/1609313732034965506

main.rs

use std::fmt::{Display, Formatter, Result, Write};

#[derive(Clone, Copy, PartialEq, Eq)]
enum Op {
    Add,
    Sub,
    Mul,
    Div,
}

impl Display for Op {
    fn fmt(&self, f: &mut Formatter<'_>) -> Result {
        f.write_char(match self {
            Self::Add => '+',
            Self::Sub => '-',
            Self::Mul => '*',
            Self::Div => '/',
        })
    }
}

struct Frac {
    n: i32,
    d: i32,
}

impl Frac {
    fn apply(&self, op: &Op, rhs: &Self) -> Option<Self> {
        match op {
            Op::Add => Some(Self {
                n: self.n * rhs.d + rhs.n * self.d,
                d: self.d * rhs.d,
            }),
            Op::Sub => Some(Self {
                n: self.n * rhs.d - rhs.n * self.d,
                d: self.d * rhs.d,
            }),
            Op::Mul => Some(Self {
                n: self.n * rhs.n,
                d: self.d * rhs.d,
            }),
            Op::Div if rhs.n != 0 => Some(Self {
                n: self.n * rhs.d,
                d: self.d * rhs.n,
            }),
            _ => None,
        }
    }
}

impl From<i32> for Frac {
    fn from(value: i32) -> Self {
        Self { n: value, d: 1 }
    }
}

struct Solution {
    target: i32,
}

impl Solution {
    const NUMS: [i32; 10] = [10, 9, 8, 7, 6, 5, 4, 3, 2, 1];
    fn search(
        &self,
        stack: &mut Vec<Frac>,
        ops: &mut Vec<Option<Op>>,
        i: usize,
        found: &mut Vec<Vec<Option<Op>>>,
    ) {
        if i == Self::NUMS.len() && stack.len() == 1 {
            if stack[0].d * self.target == stack[0].n {
                found.push(ops.clone());
            }
            return;
        }
        if let Some(&f) = Self::NUMS.get(i) {
            stack.push(f.into());
            ops.push(None);
            self.search(stack, ops, i + 1, found);
            ops.pop();
            stack.pop();
        }
        if stack.len() > 1 {
            let f0 = stack.pop().unwrap();
            let f1 = stack.pop().unwrap();
            for op in &[Op::Add, Op::Sub, Op::Mul, Op::Div] {
                if let Some(f) = f1.apply(op, &f0) {
                    stack.push(f);
                    ops.push(Some(*op));
                    self.search(stack, ops, i, found);
                    ops.pop();
                    stack.pop();
                }
            }
            stack.push(f1);
            stack.push(f0);
        }
    }
    fn filter(ops: &&Vec<Option<Op>>) -> bool {
        let mut v = vec![
            false, false, false, false, false, false, false, false, true, false,
        ];
        let mut stack = Vec::new();
        for op in ops.iter() {
            if let Some(o) = op {
                if let (Some(b0), Some(b1)) = (stack.pop(), stack.pop()) {
                    if b1 {
                        return o == &Op::Div;
                    }
                    stack.push(b0 | b1);
                }
            } else if let Some(b) = v.pop() {
                stack.push(b);
            }
        }
        unreachable!()
    }
    fn solve(&self) {
        let mut candidates = Vec::new();
        self.search(&mut Vec::new(), &mut Vec::new(), 0, &mut candidates);
        for answer in candidates.iter().filter(Self::filter) {
            let mut stack = Vec::new();
            let mut nums = Self::NUMS
                .iter()
                .rev()
                .map(|&n| n.to_string())
                .collect::<Vec<_>>();
            for o in answer {
                if let Some(op) = o {
                    if let (Some(s0), Some(s1)) = (stack.pop(), stack.pop()) {
                        stack.push(format!("({}{}{})", s1, op, s0));
                    }
                } else if let Some(s) = nums.pop() {
                    stack.push(s);
                }
            }
            if let Some(mut s) = stack.pop() {
                if s.contains("9/8") {
                    s += " !";
                }
                println!("{s}");
            }
        }
    }
}

fn main() {
    Solution { target: 2023 }.solve();
}

result

((10*(9/((8-7)/(6*(5/(4/3))))))-(2*1))
((10*(9/((8-7)/(6*(5/(4/3))))))-(2/1))
(((10*(9/((8-7)/(6*(5/(4/3))))))-2)*1)
(((10*(9/((8-7)/(6*(5/(4/3))))))-2)/1)
((10*(9/((8-7)/(6*((5/4)*3)))))-(2*1))
((10*(9/((8-7)/(6*((5/4)*3)))))-(2/1))
(((10*(9/((8-7)/(6*((5/4)*3)))))-2)*1)
(((10*(9/((8-7)/(6*((5/4)*3)))))-2)/1)
((10*(9/((8-7)/((6*(5/4))*3))))-(2*1))
((10*(9/((8-7)/((6*(5/4))*3))))-(2/1))
(((10*(9/((8-7)/((6*(5/4))*3))))-2)*1)
(((10*(9/((8-7)/((6*(5/4))*3))))-2)/1)
((10*(9/(((8-7)/(6*(5/4)))/3)))-(2*1))
((10*(9/(((8-7)/(6*(5/4)))/3)))-(2/1))
(((10*(9/(((8-7)/(6*(5/4)))/3)))-2)*1)
(((10*(9/(((8-7)/(6*(5/4)))/3)))-2)/1)
((10*((9/((8-7)/(6*(5/4))))*3))-(2*1))
((10*((9/((8-7)/(6*(5/4))))*3))-(2/1))
(((10*((9/((8-7)/(6*(5/4))))*3))-2)*1)
(((10*((9/((8-7)/(6*(5/4))))*3))-2)/1)
(((10*(9/((8-7)/(6*(5/4)))))*3)-(2*1))
(((10*(9/((8-7)/(6*(5/4)))))*3)-(2/1))
((((10*(9/((8-7)/(6*(5/4)))))*3)-2)*1)
((((10*(9/((8-7)/(6*(5/4)))))*3)-2)/1)
((10*(9/((8-7)/((6*5)/(4/3)))))-(2*1))
((10*(9/((8-7)/((6*5)/(4/3)))))-(2/1))
(((10*(9/((8-7)/((6*5)/(4/3)))))-2)*1)
(((10*(9/((8-7)/((6*5)/(4/3)))))-2)/1)
((10*(9/((8-7)/(((6*5)/4)*3))))-(2*1))
((10*(9/((8-7)/(((6*5)/4)*3))))-(2/1))
(((10*(9/((8-7)/(((6*5)/4)*3))))-2)*1)
(((10*(9/((8-7)/(((6*5)/4)*3))))-2)/1)
((10*(9/(((8-7)/((6*5)/4))/3)))-(2*1))
((10*(9/(((8-7)/((6*5)/4))/3)))-(2/1))
(((10*(9/(((8-7)/((6*5)/4))/3)))-2)*1)
(((10*(9/(((8-7)/((6*5)/4))/3)))-2)/1)
((10*((9/((8-7)/((6*5)/4)))*3))-(2*1))
((10*((9/((8-7)/((6*5)/4)))*3))-(2/1))
(((10*((9/((8-7)/((6*5)/4)))*3))-2)*1)
(((10*((9/((8-7)/((6*5)/4)))*3))-2)/1)
(((10*(9/((8-7)/((6*5)/4))))*3)-(2*1))
(((10*(9/((8-7)/((6*5)/4))))*3)-(2/1))
((((10*(9/((8-7)/((6*5)/4))))*3)-2)*1)
((((10*(9/((8-7)/((6*5)/4))))*3)-2)/1)
((10*(9/(((8-7)/(6*5))*(4/3))))-(2*1))
((10*(9/(((8-7)/(6*5))*(4/3))))-(2/1))
(((10*(9/(((8-7)/(6*5))*(4/3))))-2)*1)
(((10*(9/(((8-7)/(6*5))*(4/3))))-2)/1)
((10*(9/((((8-7)/(6*5))*4)/3)))-(2*1))
((10*(9/((((8-7)/(6*5))*4)/3)))-(2/1))
(((10*(9/((((8-7)/(6*5))*4)/3)))-2)*1)
(((10*(9/((((8-7)/(6*5))*4)/3)))-2)/1)
((10*((9/(((8-7)/(6*5))*4))*3))-(2*1))
((10*((9/(((8-7)/(6*5))*4))*3))-(2/1))
(((10*((9/(((8-7)/(6*5))*4))*3))-2)*1)
(((10*((9/(((8-7)/(6*5))*4))*3))-2)/1)
(((10*(9/(((8-7)/(6*5))*4)))*3)-(2*1))
(((10*(9/(((8-7)/(6*5))*4)))*3)-(2/1))
((((10*(9/(((8-7)/(6*5))*4)))*3)-2)*1)
((((10*(9/(((8-7)/(6*5))*4)))*3)-2)/1)
((10*((9/((8-7)/(6*5)))/(4/3)))-(2*1))
((10*((9/((8-7)/(6*5)))/(4/3)))-(2/1))
(((10*((9/((8-7)/(6*5)))/(4/3)))-2)*1)
(((10*((9/((8-7)/(6*5)))/(4/3)))-2)/1)
((10*(((9/((8-7)/(6*5)))/4)*3))-(2*1))
((10*(((9/((8-7)/(6*5)))/4)*3))-(2/1))
(((10*(((9/((8-7)/(6*5)))/4)*3))-2)*1)
(((10*(((9/((8-7)/(6*5)))/4)*3))-2)/1)
(((10*((9/((8-7)/(6*5)))/4))*3)-(2*1))
(((10*((9/((8-7)/(6*5)))/4))*3)-(2/1))
((((10*((9/((8-7)/(6*5)))/4))*3)-2)*1)
((((10*((9/((8-7)/(6*5)))/4))*3)-2)/1)
(((10*(9/((8-7)/(6*5))))/(4/3))-(2*1))
(((10*(9/((8-7)/(6*5))))/(4/3))-(2/1))
((((10*(9/((8-7)/(6*5))))/(4/3))-2)*1)
((((10*(9/((8-7)/(6*5))))/(4/3))-2)/1)
((((10*(9/((8-7)/(6*5))))/4)*3)-(2*1))
((((10*(9/((8-7)/(6*5))))/4)*3)-(2/1))
(((((10*(9/((8-7)/(6*5))))/4)*3)-2)*1)
(((((10*(9/((8-7)/(6*5))))/4)*3)-2)/1)
((10*(9/(((8-7)/6)/(5/(4/3)))))-(2*1))
((10*(9/(((8-7)/6)/(5/(4/3)))))-(2/1))
(((10*(9/(((8-7)/6)/(5/(4/3)))))-2)*1)
(((10*(9/(((8-7)/6)/(5/(4/3)))))-2)/1)
((10*(9/(((8-7)/6)/((5/4)*3))))-(2*1))
((10*(9/(((8-7)/6)/((5/4)*3))))-(2/1))
(((10*(9/(((8-7)/6)/((5/4)*3))))-2)*1)
(((10*(9/(((8-7)/6)/((5/4)*3))))-2)/1)
((10*(9/((((8-7)/6)/(5/4))/3)))-(2*1))
((10*(9/((((8-7)/6)/(5/4))/3)))-(2/1))
(((10*(9/((((8-7)/6)/(5/4))/3)))-2)*1)
(((10*(9/((((8-7)/6)/(5/4))/3)))-2)/1)
((10*((9/(((8-7)/6)/(5/4)))*3))-(2*1))
((10*((9/(((8-7)/6)/(5/4)))*3))-(2/1))
(((10*((9/(((8-7)/6)/(5/4)))*3))-2)*1)
(((10*((9/(((8-7)/6)/(5/4)))*3))-2)/1)
(((10*(9/(((8-7)/6)/(5/4))))*3)-(2*1))
(((10*(9/(((8-7)/6)/(5/4))))*3)-(2/1))
((((10*(9/(((8-7)/6)/(5/4))))*3)-2)*1)
((((10*(9/(((8-7)/6)/(5/4))))*3)-2)/1)
((10*(9/((((8-7)/6)/5)*(4/3))))-(2*1))
((10*(9/((((8-7)/6)/5)*(4/3))))-(2/1))
(((10*(9/((((8-7)/6)/5)*(4/3))))-2)*1)
(((10*(9/((((8-7)/6)/5)*(4/3))))-2)/1)
((10*(9/(((((8-7)/6)/5)*4)/3)))-(2*1))
((10*(9/(((((8-7)/6)/5)*4)/3)))-(2/1))
(((10*(9/(((((8-7)/6)/5)*4)/3)))-2)*1)
(((10*(9/(((((8-7)/6)/5)*4)/3)))-2)/1)
((10*((9/((((8-7)/6)/5)*4))*3))-(2*1))
((10*((9/((((8-7)/6)/5)*4))*3))-(2/1))
(((10*((9/((((8-7)/6)/5)*4))*3))-2)*1)
(((10*((9/((((8-7)/6)/5)*4))*3))-2)/1)
(((10*(9/((((8-7)/6)/5)*4)))*3)-(2*1))
(((10*(9/((((8-7)/6)/5)*4)))*3)-(2/1))
((((10*(9/((((8-7)/6)/5)*4)))*3)-2)*1)
((((10*(9/((((8-7)/6)/5)*4)))*3)-2)/1)
((10*((9/(((8-7)/6)/5))/(4/3)))-(2*1))
((10*((9/(((8-7)/6)/5))/(4/3)))-(2/1))
(((10*((9/(((8-7)/6)/5))/(4/3)))-2)*1)
(((10*((9/(((8-7)/6)/5))/(4/3)))-2)/1)
((10*(((9/(((8-7)/6)/5))/4)*3))-(2*1))
((10*(((9/(((8-7)/6)/5))/4)*3))-(2/1))
(((10*(((9/(((8-7)/6)/5))/4)*3))-2)*1)
(((10*(((9/(((8-7)/6)/5))/4)*3))-2)/1)
(((10*((9/(((8-7)/6)/5))/4))*3)-(2*1))
(((10*((9/(((8-7)/6)/5))/4))*3)-(2/1))
((((10*((9/(((8-7)/6)/5))/4))*3)-2)*1)
((((10*((9/(((8-7)/6)/5))/4))*3)-2)/1)
(((10*(9/(((8-7)/6)/5)))/(4/3))-(2*1))
(((10*(9/(((8-7)/6)/5)))/(4/3))-(2/1))
((((10*(9/(((8-7)/6)/5)))/(4/3))-2)*1)
((((10*(9/(((8-7)/6)/5)))/(4/3))-2)/1)
((((10*(9/(((8-7)/6)/5)))/4)*3)-(2*1))
((((10*(9/(((8-7)/6)/5)))/4)*3)-(2/1))
(((((10*(9/(((8-7)/6)/5)))/4)*3)-2)*1)
(((((10*(9/(((8-7)/6)/5)))/4)*3)-2)/1)
((10*((9/((8-7)/6))*(5/(4/3))))-(2*1))
((10*((9/((8-7)/6))*(5/(4/3))))-(2/1))
(((10*((9/((8-7)/6))*(5/(4/3))))-2)*1)
(((10*((9/((8-7)/6))*(5/(4/3))))-2)/1)
((10*((9/((8-7)/6))*((5/4)*3)))-(2*1))
((10*((9/((8-7)/6))*((5/4)*3)))-(2/1))
(((10*((9/((8-7)/6))*((5/4)*3)))-2)*1)
(((10*((9/((8-7)/6))*((5/4)*3)))-2)/1)
((10*(((9/((8-7)/6))*(5/4))*3))-(2*1))
((10*(((9/((8-7)/6))*(5/4))*3))-(2/1))
(((10*(((9/((8-7)/6))*(5/4))*3))-2)*1)
(((10*(((9/((8-7)/6))*(5/4))*3))-2)/1)
(((10*((9/((8-7)/6))*(5/4)))*3)-(2*1))
(((10*((9/((8-7)/6))*(5/4)))*3)-(2/1))
((((10*((9/((8-7)/6))*(5/4)))*3)-2)*1)
((((10*((9/((8-7)/6))*(5/4)))*3)-2)/1)
((10*(((9/((8-7)/6))*5)/(4/3)))-(2*1))
((10*(((9/((8-7)/6))*5)/(4/3)))-(2/1))
(((10*(((9/((8-7)/6))*5)/(4/3)))-2)*1)
(((10*(((9/((8-7)/6))*5)/(4/3)))-2)/1)
((10*((((9/((8-7)/6))*5)/4)*3))-(2*1))
((10*((((9/((8-7)/6))*5)/4)*3))-(2/1))
(((10*((((9/((8-7)/6))*5)/4)*3))-2)*1)
(((10*((((9/((8-7)/6))*5)/4)*3))-2)/1)
(((10*(((9/((8-7)/6))*5)/4))*3)-(2*1))
(((10*(((9/((8-7)/6))*5)/4))*3)-(2/1))
((((10*(((9/((8-7)/6))*5)/4))*3)-2)*1)
((((10*(((9/((8-7)/6))*5)/4))*3)-2)/1)
(((10*((9/((8-7)/6))*5))/(4/3))-(2*1))
(((10*((9/((8-7)/6))*5))/(4/3))-(2/1))
((((10*((9/((8-7)/6))*5))/(4/3))-2)*1)
((((10*((9/((8-7)/6))*5))/(4/3))-2)/1)
((((10*((9/((8-7)/6))*5))/4)*3)-(2*1))
((((10*((9/((8-7)/6))*5))/4)*3)-(2/1))
(((((10*((9/((8-7)/6))*5))/4)*3)-2)*1)
(((((10*((9/((8-7)/6))*5))/4)*3)-2)/1)
(((10*(9/((8-7)/6)))*(5/(4/3)))-(2*1))
(((10*(9/((8-7)/6)))*(5/(4/3)))-(2/1))
((((10*(9/((8-7)/6)))*(5/(4/3)))-2)*1)
((((10*(9/((8-7)/6)))*(5/(4/3)))-2)/1)
(((10*(9/((8-7)/6)))*((5/4)*3))-(2*1))
(((10*(9/((8-7)/6)))*((5/4)*3))-(2/1))
((((10*(9/((8-7)/6)))*((5/4)*3))-2)*1)
((((10*(9/((8-7)/6)))*((5/4)*3))-2)/1)
((((10*(9/((8-7)/6)))*(5/4))*3)-(2*1))
((((10*(9/((8-7)/6)))*(5/4))*3)-(2/1))
(((((10*(9/((8-7)/6)))*(5/4))*3)-2)*1)
(((((10*(9/((8-7)/6)))*(5/4))*3)-2)/1)
((((10*(9/((8-7)/6)))*5)/(4/3))-(2*1))
((((10*(9/((8-7)/6)))*5)/(4/3))-(2/1))
(((((10*(9/((8-7)/6)))*5)/(4/3))-2)*1)
(((((10*(9/((8-7)/6)))*5)/(4/3))-2)/1)
(((((10*(9/((8-7)/6)))*5)/4)*3)-(2*1))
(((((10*(9/((8-7)/6)))*5)/4)*3)-(2/1))
((((((10*(9/((8-7)/6)))*5)/4)*3)-2)*1)
((((((10*(9/((8-7)/6)))*5)/4)*3)-2)/1)
((10*((9/(8-7))*(6*(5/(4/3)))))-(2*1))
((10*((9/(8-7))*(6*(5/(4/3)))))-(2/1))
(((10*((9/(8-7))*(6*(5/(4/3)))))-2)*1)
(((10*((9/(8-7))*(6*(5/(4/3)))))-2)/1)
((10*((9/(8-7))*(6*((5/4)*3))))-(2*1))
((10*((9/(8-7))*(6*((5/4)*3))))-(2/1))
(((10*((9/(8-7))*(6*((5/4)*3))))-2)*1)
(((10*((9/(8-7))*(6*((5/4)*3))))-2)/1)
((10*((9/(8-7))*((6*(5/4))*3)))-(2*1))
((10*((9/(8-7))*((6*(5/4))*3)))-(2/1))
(((10*((9/(8-7))*((6*(5/4))*3)))-2)*1)
(((10*((9/(8-7))*((6*(5/4))*3)))-2)/1)
((10*(((9/(8-7))*(6*(5/4)))*3))-(2*1))
((10*(((9/(8-7))*(6*(5/4)))*3))-(2/1))
(((10*(((9/(8-7))*(6*(5/4)))*3))-2)*1)
(((10*(((9/(8-7))*(6*(5/4)))*3))-2)/1)
(((10*((9/(8-7))*(6*(5/4))))*3)-(2*1))
(((10*((9/(8-7))*(6*(5/4))))*3)-(2/1))
((((10*((9/(8-7))*(6*(5/4))))*3)-2)*1)
((((10*((9/(8-7))*(6*(5/4))))*3)-2)/1)
((10*((9/(8-7))*((6*5)/(4/3))))-(2*1))
((10*((9/(8-7))*((6*5)/(4/3))))-(2/1))
(((10*((9/(8-7))*((6*5)/(4/3))))-2)*1)
(((10*((9/(8-7))*((6*5)/(4/3))))-2)/1)
((10*((9/(8-7))*(((6*5)/4)*3)))-(2*1))
((10*((9/(8-7))*(((6*5)/4)*3)))-(2/1))
(((10*((9/(8-7))*(((6*5)/4)*3)))-2)*1)
(((10*((9/(8-7))*(((6*5)/4)*3)))-2)/1)
((10*(((9/(8-7))*((6*5)/4))*3))-(2*1))
((10*(((9/(8-7))*((6*5)/4))*3))-(2/1))
(((10*(((9/(8-7))*((6*5)/4))*3))-2)*1)
(((10*(((9/(8-7))*((6*5)/4))*3))-2)/1)
(((10*((9/(8-7))*((6*5)/4)))*3)-(2*1))
(((10*((9/(8-7))*((6*5)/4)))*3)-(2/1))
((((10*((9/(8-7))*((6*5)/4)))*3)-2)*1)
((((10*((9/(8-7))*((6*5)/4)))*3)-2)/1)
((10*(((9/(8-7))*(6*5))/(4/3)))-(2*1))
((10*(((9/(8-7))*(6*5))/(4/3)))-(2/1))
(((10*(((9/(8-7))*(6*5))/(4/3)))-2)*1)
(((10*(((9/(8-7))*(6*5))/(4/3)))-2)/1)
((10*((((9/(8-7))*(6*5))/4)*3))-(2*1))
((10*((((9/(8-7))*(6*5))/4)*3))-(2/1))
(((10*((((9/(8-7))*(6*5))/4)*3))-2)*1)
(((10*((((9/(8-7))*(6*5))/4)*3))-2)/1)
(((10*(((9/(8-7))*(6*5))/4))*3)-(2*1))
(((10*(((9/(8-7))*(6*5))/4))*3)-(2/1))
((((10*(((9/(8-7))*(6*5))/4))*3)-2)*1)
((((10*(((9/(8-7))*(6*5))/4))*3)-2)/1)
(((10*((9/(8-7))*(6*5)))/(4/3))-(2*1))
(((10*((9/(8-7))*(6*5)))/(4/3))-(2/1))
((((10*((9/(8-7))*(6*5)))/(4/3))-2)*1)
((((10*((9/(8-7))*(6*5)))/(4/3))-2)/1)
((((10*((9/(8-7))*(6*5)))/4)*3)-(2*1))
((((10*((9/(8-7))*(6*5)))/4)*3)-(2/1))
(((((10*((9/(8-7))*(6*5)))/4)*3)-2)*1)
(((((10*((9/(8-7))*(6*5)))/4)*3)-2)/1)
((10*(((9/(8-7))*6)*(5/(4/3))))-(2*1))
((10*(((9/(8-7))*6)*(5/(4/3))))-(2/1))
(((10*(((9/(8-7))*6)*(5/(4/3))))-2)*1)
(((10*(((9/(8-7))*6)*(5/(4/3))))-2)/1)
((10*(((9/(8-7))*6)*((5/4)*3)))-(2*1))
((10*(((9/(8-7))*6)*((5/4)*3)))-(2/1))
(((10*(((9/(8-7))*6)*((5/4)*3)))-2)*1)
(((10*(((9/(8-7))*6)*((5/4)*3)))-2)/1)
((10*((((9/(8-7))*6)*(5/4))*3))-(2*1))
((10*((((9/(8-7))*6)*(5/4))*3))-(2/1))
(((10*((((9/(8-7))*6)*(5/4))*3))-2)*1)
(((10*((((9/(8-7))*6)*(5/4))*3))-2)/1)
(((10*(((9/(8-7))*6)*(5/4)))*3)-(2*1))
(((10*(((9/(8-7))*6)*(5/4)))*3)-(2/1))
((((10*(((9/(8-7))*6)*(5/4)))*3)-2)*1)
((((10*(((9/(8-7))*6)*(5/4)))*3)-2)/1)
((10*((((9/(8-7))*6)*5)/(4/3)))-(2*1))
((10*((((9/(8-7))*6)*5)/(4/3)))-(2/1))
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