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//! # [Day 25: The Halting Problem](http://adventofcode.com/2017/day/25) //! //! Following the twisty passageways deeper and deeper into the CPU, you //! finally reach the <span title="Get it? CPU core?">core</span> of the //! computer. Here, in the expansive central chamber, you find a grand //! apparatus that fills the entire room, suspended nanometers above your //! head. //! //! You had always imagined CPUs to be noisy, chaotic places, bustling with //! activity. Instead, the room is quiet, motionless, and dark. //! //! Suddenly, you and the CPU's *garbage collector* startle each other. //! "It's not often we get many visitors here!", he says. You inquire about //! the stopped machinery. //! //! "It stopped milliseconds ago; not sure why. I'm a garbage collector, not //! a doctor." You ask what the machine is for. //! //! "Programs these days, don't know their origins. That's the *Turing //! machine*! It's what makes the whole computer work." You try to explain //! that Turing machines are merely models of computation, but he cuts you //! off. "No, see, that's just what they *want* you to think. Ultimately, //! inside every CPU, there's a Turing machine driving the whole thing! Too //! bad this one's broken. [We're doomed!]" //! //! You ask how you can help. "Well, unfortunately, the only way to get the //! computer running again would be to create a whole new Turing machine //! from scratch, but there's no *way* you can-" He notices the look on your //! face, gives you a curious glance, shrugs, and goes back to sweeping the //! floor. //! //! [We're doomed!]: https://www.youtube.com/watch?v=cTwZZz0HV8I use std::collections::HashMap; use nom::anychar; use ::parse::unsigned_number; named!{ parse_bool (&[u8]) -> bool, map!( alt!(char!('0') | char!('1')), |x| x == '1' ) } named!{ parse_right (&[u8]) -> bool, map!( alt!(tag!("left") | tag!("right")), |x| x == b"right" ) } #[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)] pub struct State { false_write: bool, false_right: bool, false_next: char, true_write: bool, true_right: bool, true_next: char, } impl State { named!{ from_bytes (&[u8]) -> (char, State), do_parse!( tag!("In state ") >> name: anychar >> tag!(": If the current value is 0: - Write the value ") >> false_write: parse_bool >> tag!(". - Move one slot to the ") >> false_right: parse_right >> tag!(". - Continue with state ") >> false_next: anychar >> tag!(". If the current value is 1: - Write the value ") >> true_write: parse_bool >> tag!(". - Move one slot to the ") >> true_right: parse_right >> tag!(". - Continue with state ") >> true_next: anychar >> tag!(". ") >> (( name, State { false_write, false_right, false_next, true_write, true_right, true_next } )) ) } } /// You find the *Turing machine blueprints* (your puzzle input) on a tablet /// in a nearby pile of debris. Looking back up at the broken Turing machine /// above, you can start to identify its parts: /// /// - A *tape* which contains `0` repeated infinitely to the left and /// right. /// - A *cursor*, which can move left or right along the tape and read or /// write values at its current position. /// - A set of *states*, each containing rules about what to do based on /// the current value under the cursor. /// /// Each slot on the tape has two possible values: `0` (the starting value /// for all slots) and `1`. Based on whether the cursor is pointing at a `0` /// or a `1`, the current state says *what value to write* at the current /// position of the cursor, whether to *move the cursor* left or right one /// slot, and *which state to use next*. #[derive(Clone, PartialEq, Eq, Debug)] pub struct Blueprint { begin: char, checksum_after: usize, states: HashMap<char, State>, } impl Blueprint { named!{ from_bytes (&[u8]) -> Blueprint, do_parse!( tag!("Begin in state ") >> begin: anychar >> tag!(". Perform a diagnostic checksum after ") >> checksum_after: unsigned_number >> tag!(" steps. ") >> states: map!( lines!(call!(State::from_bytes)), |vec| vec.into_iter().collect::<HashMap<_, _>>() ) >> (Blueprint { begin, checksum_after, states }) ) } } /// For example, suppose you found the following blueprint: /// /// ```text /// Begin in state A. /// Perform a diagnostic checksum after 6 steps. /// /// In state A: /// If the current value is 0: /// - Write the value 1. /// - Move one slot to the right. /// - Continue with state B. /// If the current value is 1: /// - Write the value 0. /// - Move one slot to the left. /// - Continue with state B. /// /// In state B: /// If the current value is 0: /// - Write the value 1. /// - Move one slot to the left. /// - Continue with state A. /// If the current value is 1: /// - Write the value 1. /// - Move one slot to the right. /// - Continue with state A. /// ``` /// /// Running it until the number of steps required to take the listed /// *diagnostic checksum* would result in the following tape configurations /// (with the *cursor* marked in square brackets): /// /// ```text /// ... 0 0 0 [0] 0 0 ... (before any steps; about to run state A) /// ... 0 0 0 1 [0] 0 ... (after 1 step; about to run state B) /// ... 0 0 0 [1] 1 0 ... (after 2 steps; about to run state A) /// ... 0 0 [0] 0 1 0 ... (after 3 steps; about to run state B) /// ... 0 [0] 1 0 1 0 ... (after 4 steps; about to run state A) /// ... 0 1 [1] 0 1 0 ... (after 5 steps; about to run state B) /// ... 0 1 1 [0] 1 0 ... (after 6 steps; about to run state A) /// ``` /// /// The CPU can confirm that the Turing machine is working by taking a /// *diagnostic checksum* after a specific number of steps (given in the /// blueprint). Once the specified number of steps have been executed, the /// Turing machine should pause; once it does, count the number of times `1` /// appears on the tape. In the above example, the *diagnostic checksum* is /// *`3`*. /// /// ``` /// # use advent_solutions::advent2017::day25::{ parse_input, part1 }; /// # let input = parse_input("\ /// # Begin in state A. /// # Perform a diagnostic checksum after 6 steps. /// # /// # In state A: /// # If the current value is 0: /// # - Write the value 1. /// # - Move one slot to the right. /// # - Continue with state B. /// # If the current value is 1: /// # - Write the value 0. /// # - Move one slot to the left. /// # - Continue with state B. /// # /// # In state B: /// # If the current value is 0: /// # - Write the value 1. /// # - Move one slot to the left. /// # - Continue with state A. /// # If the current value is 1: /// # - Write the value 1. /// # - Move one slot to the right. /// # - Continue with state A. /// # "); /// # /// assert_eq!(part1(&input), 3); /// ``` /// /// Recreate the Turing machine and save the computer! *What is the /// diagnostic checksum* it produces once it's working again? pub fn part1(input: &Blueprint) -> usize { use std::collections::VecDeque; let mut tape = VecDeque::new(); tape.push_back(false); let mut ip = 0; let mut state = input.begin; for _ in 0..input.checksum_after { if tape[ip] == false { let State { false_write, false_right, false_next, .. } = input.states[&state]; tape[ip] = false_write; if false_right { ip += 1; if ip == tape.len() { tape.push_back(false); } } else { if ip == 0 { tape.push_front(false); } else { ip -= 1; } }; state = false_next; } else { let State { true_write, true_right, true_next, .. } = input.states[&state]; tape[ip] = true_write; if true_right { ip += 1; if ip == tape.len() { tape.push_back(false); } } else { if ip == 0 { tape.push_front(false); } else { ip -= 1; } }; state = true_next; } } tape.into_iter().filter(|&x| x).count() } /// The Turing machine, and soon the entire computer, springs back to life. /// A console glows dimly nearby, awaiting your command. /// /// ```text /// > reboot printer /// Error: That command requires priority 50. You currently have priority 0. /// You must deposit 50 stars to increase your priority to the required level. /// ``` /// /// The console flickers for a moment, and then prints another message: /// /// ```text /// Star accepted. /// You must deposit 49 stars to increase your priority to the required level. /// ``` /// The *garbage collector* winks at you, then continues sweeping. pub fn part2(_: &Blueprint) -> &str { "" } pub fn parse_input(input: &str) -> Blueprint { Blueprint::from_bytes(input.as_bytes()) .to_full_result() .expect("Error parsing blueprint") } test_day!("25", 2846, "");