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| 1 | +use std::{iter::zip, str::FromStr}; |
| 2 | + |
| 3 | +use lazy_regex::regex_captures; |
| 4 | + |
| 5 | +#[derive(Debug)] |
| 6 | +pub struct Puzzle { |
| 7 | + pub races: Vec<Race>, |
| 8 | +} |
| 9 | + |
| 10 | +#[derive(Debug)] |
| 11 | +pub struct Race { |
| 12 | + pub time: u64, |
| 13 | + pub distance: u64, |
| 14 | +} |
| 15 | + |
| 16 | +impl Race { |
| 17 | + pub fn ways(&self) -> u64 { |
| 18 | + let q = ceil_sqrt(self.time * self.time - 4 * self.distance); |
| 19 | + q - ((self.time ^ q ^ 1) & 1) |
| 20 | + } |
| 21 | +} |
| 22 | + |
| 23 | +#[test] |
| 24 | +fn test_race_ways() { |
| 25 | + assert_eq!( |
| 26 | + Race { |
| 27 | + time: 7, |
| 28 | + distance: 9, |
| 29 | + } |
| 30 | + .ways(), |
| 31 | + 4 |
| 32 | + ); |
| 33 | + assert_eq!( |
| 34 | + Race { |
| 35 | + time: 15, |
| 36 | + distance: 40, |
| 37 | + } |
| 38 | + .ways(), |
| 39 | + 8 |
| 40 | + ); |
| 41 | + assert_eq!( |
| 42 | + Race { |
| 43 | + time: 30, |
| 44 | + distance: 200, |
| 45 | + } |
| 46 | + .ways(), |
| 47 | + 9 |
| 48 | + ); |
| 49 | + assert_eq!( |
| 50 | + Race { |
| 51 | + time: 71530, |
| 52 | + distance: 940200, |
| 53 | + } |
| 54 | + .ways(), |
| 55 | + 71503 |
| 56 | + ); |
| 57 | +} |
| 58 | + |
| 59 | +fn ceil_sqrt(n: u64) -> u64 { |
| 60 | + return (n - 1).isqrt() + 1; |
| 61 | +} |
| 62 | + |
| 63 | +#[test] |
| 64 | +fn test_ceil_sqrt() { |
| 65 | + for i in 0u64..5 { |
| 66 | + for n in i.pow(2) + 1..=(i + 1).pow(2) { |
| 67 | + assert_eq!(ceil_sqrt(n), i + 1); |
| 68 | + } |
| 69 | + } |
| 70 | +} |
| 71 | + |
| 72 | +#[derive(Debug)] |
| 73 | +pub struct ParseError; |
| 74 | + |
| 75 | +impl FromStr for Puzzle { |
| 76 | + type Err = ParseError; |
| 77 | + |
| 78 | + fn from_str(s: &str) -> Result<Self, Self::Err> { |
| 79 | + let (_, time, distance) = regex_captures!( |
| 80 | + r#"Time:\s+(\d+(?:\s+\d+)*)\nDistance:\s+(\d+(?:\s+\d+)*)"#, |
| 81 | + s |
| 82 | + ) |
| 83 | + .ok_or(ParseError)?; |
| 84 | + let times: Vec<u64> = time |
| 85 | + .split_ascii_whitespace() |
| 86 | + .map(|s| s.parse()) |
| 87 | + .collect::<Result<_, _>>() |
| 88 | + .map_err(|_| ParseError)?; |
| 89 | + let distances: Vec<u64> = distance |
| 90 | + .split_ascii_whitespace() |
| 91 | + .map(|s| s.parse()) |
| 92 | + .collect::<Result<_, _>>() |
| 93 | + .map_err(|_| ParseError)?; |
| 94 | + if times.len() != distances.len() { |
| 95 | + return Err(ParseError); |
| 96 | + } |
| 97 | + Ok(Puzzle { |
| 98 | + races: zip(times, distances) |
| 99 | + .map(|(time, distance)| Race { time, distance }) |
| 100 | + .collect(), |
| 101 | + }) |
| 102 | + } |
| 103 | +} |
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