Dag 13 af, was makkelijk als je het gewoon direct uitrekende

advent_of_code/2024/13/Cargo.toml

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+[package]
+name = "main"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]
+nom = "7.1.3"

advent_of_code/2024/13/src/main.rs

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+use nom::{
+    bytes::complete::tag,
+    character::complete::{i64, multispace1},
+    multi::many1,
+    sequence::{delimited, separated_pair, tuple},
+    IResult,
+};
+
+fn parse(input: &str) -> IResult<&str, Vec<((i64, i64), (i64, i64), (i64, i64))>> {
+    let (_input, result) = many1(tuple((
+        delimited(
+            tag("Button A: X+"),
+            separated_pair(i64, tag(", Y+"), i64),
+            multispace1,
+        ),
+        delimited(
+            tag("Button B: X+"),
+            separated_pair(i64, tag(", Y+"), i64),
+            multispace1,
+        ),
+        delimited(
+            tag("Prize: X="),
+            separated_pair(i64, tag(", Y="), i64),
+            multispace1,
+        ),
+    )))(input)?;
+
+    Ok((input, result))
+}
+
+// For a / b
+fn divisible(a: f64, b: f64, epsilon: f64) -> bool {
+    let div = a / b;
+
+    (div - div.round()).abs() < epsilon
+}
+
+fn equal(a: f64, b: f64, epsilon: f64) -> bool {
+    (a - b).abs() < epsilon
+}
+
+fn linear_solve_1(a: (i64, i64), b: (i64, i64), prize: (i64, i64)) -> Option<i64> {
+    const EPS: f64 = 0.000001;
+
+    let (fa1, fb1) = (a.0 as f64, a.1 as f64);
+    let (fa2, fb2) = (b.0 as f64, b.1 as f64);
+    let (p1, p2) = (prize.0 as f64, prize.1 as f64);
+
+    let y_denominator = fb2 - fb1 * fa2 / fa1;
+    if equal(y_denominator, 0.0, EPS) {
+        return None;
+    }
+
+    let y_nominator = p2 - fb1 * p1 / fa1;
+    if !divisible(y_nominator, y_denominator, EPS) {
+        return None;
+    }
+
+    let x_nominator = p1 - fa2 * (p2 - fb1 * p1 / fa1) / (fb2 - fb1 * fa2 / fa1);
+    if !divisible(x_nominator, fa1, EPS) {
+        return None;
+    }
+
+    let y = (y_nominator / y_denominator).round() as i64;
+    let x = (x_nominator / fa1).round() as i64;
+
+    if x < 0 || y < 0 || x > 100 || y > 100 {
+        return None;
+    } else {
+        return Some(x * 3 + y);
+    }
+}
+
+fn linear_solve_2(a: (i64, i64), b: (i64, i64), prize: (i64, i64)) -> Option<i64> {
+    const EPS: f64 = 0.001;
+    const BONUS: i64 = 10000000000000;
+
+    let (fa1, fb1) = (a.0 as f64, a.1 as f64);
+    let (fa2, fb2) = (b.0 as f64, b.1 as f64);
+    let (p1, p2) = ((prize.0 + BONUS) as f64, (prize.1 + BONUS) as f64);
+
+    let y_denominator = fb2 - fb1 * fa2 / fa1;
+    if equal(y_denominator, 0.0, EPS) {
+        return None;
+    }
+
+    let y_nominator = p2 - fb1 * p1 / fa1;
+    if !divisible(y_nominator, y_denominator, EPS) {
+        return None;
+    }
+
+    let x_nominator = p1 - fa2 * (p2 - fb1 * p1 / fa1) / (fb2 - fb1 * fa2 / fa1);
+    if !divisible(x_nominator, fa1, EPS) {
+        return None;
+    }
+
+    let y = (y_nominator / y_denominator).round() as i64;
+    let x = (x_nominator / fa1).round() as i64;
+
+    if x < 0 || y < 0 {
+        return None;
+    } else {
+        return Some(x * 3 + y);
+    }
+}
+
+fn solve_1(input: &str) -> i64 {
+    let (_, result) = parse(input).unwrap();
+
+    result
+        .into_iter()
+        .filter_map(|(a, b, prize)| linear_solve_1(a, b, prize))
+        .sum()
+}
+
+fn solve_2(input: &str) -> i64 {
+    let (_, result) = parse(input).unwrap();
+
+    result
+        .into_iter()
+        .filter_map(|(a, b, prize)| linear_solve_2(a, b, prize))
+        .sum()
+}
+
+fn main() {
+    println!("Hello, this is Patrick!");
+
+    let input = include_str!("../input.txt");
+
+    let result_1 = solve_1(input);
+    println!("The fewest tokens spent to get all prizes is {}", result_1);
+
+    let result_2 = solve_2(input);
+    println!(
+        "With the huge positions, the fewest tokens to get all prizes is now {}",
+        result_2
+    );
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_1() {
+        let test_input = include_str!("../test.txt");
+        assert_eq!(solve_1(test_input), 480);
+    }
+
+    #[test]
+    fn test_2() {
+        let test_input = include_str!("../test.txt");
+        let ts = parse(test_input).unwrap().1;
+
+        for (i, t) in ts.into_iter().enumerate() {
+            if i % 2 == 0 {
+                assert!(linear_solve_2(t.0, t.1, t.2).is_none());
+            } else {
+                assert!(linear_solve_2(t.0, t.1, t.2).is_some());
+            }
+        }
+    }
+}

advent_of_code/2024/13/test.txt

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+Button A: X+94, Y+34
+Button B: X+22, Y+67
+Prize: X=8400, Y=5400
+
+Button A: X+26, Y+66
+Button B: X+67, Y+21
+Prize: X=12748, Y=12176
+
+Button A: X+17, Y+86
+Button B: X+84, Y+37
+Prize: X=7870, Y=6450
+
+Button A: X+69, Y+23
+Button B: X+27, Y+71
+Prize: X=18641, Y=10279