diff --git a/2023/Cargo.toml b/2023/Cargo.toml
index cdfe5f6..44571fc 100644
--- a/2023/Cargo.toml
+++ b/2023/Cargo.toml
@@ -8,6 +8,7 @@ edition = "2021"
 [dependencies]
 anyhow = "1.0.75"
 lazy_static = "1.4.0"
+nalgebra = "0.32.3"
 regex = "1.10.2"
 
 [features]
diff --git a/2023/input/24/input b/2023/input/24/input
new file mode 100644
index 0000000..4326d4a
--- /dev/null
+++ b/2023/input/24/input
@@ -0,0 +1,300 @@
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diff --git a/2023/input/24/test-1 b/2023/input/24/test-1
new file mode 100644
index 0000000..35963dc
--- /dev/null
+++ b/2023/input/24/test-1
@@ -0,0 +1,5 @@
+19, 13, 30 @ -2,  1, -2
+18, 19, 22 @ -1, -1, -2
+20, 25, 34 @ -2, -2, -4
+12, 31, 28 @ -1, -2, -1
+20, 19, 15 @  1, -5, -3
diff --git a/2023/src/bin/day24.rs b/2023/src/bin/day24.rs
new file mode 100644
index 0000000..569ecb0
--- /dev/null
+++ b/2023/src/bin/day24.rs
@@ -0,0 +1,221 @@
+#![feature(test)]
+extern crate nalgebra as na;
+use std::{str::FromStr, convert::Infallible, collections::HashMap};
+
+use anyhow::Result;
+use aoc::Solver;
+use na::{SMatrix, SVector};
+
+// -- Runners --
+fn main() -> Result<()> {
+    Day::solve()
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn part1_test1() -> Result<()> {
+        Day::test(Day::part1, "test-1", 2)
+    }
+
+    #[test]
+    fn part1_solution() -> Result<()> {
+        Day::test(Day::part1, "input", 13149)
+    }
+
+    #[test]
+    fn part2_test1() -> Result<()> {
+        Day::test(Day::part2, "test-1", 47)
+    }
+
+    #[test]
+    fn part2_solution() -> Result<()> {
+        Day::test(Day::part2, "input", 1033770143421619)
+    }
+
+    // Benchmarks
+    extern crate test;
+    #[bench]
+    #[ignore]
+    fn part1_bench(b: &mut test::Bencher) {
+        Day::benchmark(Day::part1, b)
+    }
+    #[bench]
+    #[ignore]
+    fn part2_bench(b: &mut test::Bencher) {
+        Day::benchmark(Day::part2, b)
+    }
+}
+
+#[derive(Debug, Clone, Copy)]
+struct Hailstone {
+    px: f64,
+    py: f64,
+    pz: f64,
+    vx: f64,
+    vy: f64,
+    vz: f64
+}
+
+impl Hailstone {
+        fn intersect_2d(&self, other: &Hailstone) -> Option<(f64, f64)> {
+        let dx = self.px - other.px;
+        let dy = self.py - other.py;
+
+        let d = self.vy * other.vx - self.vx * other.vy;
+
+        let t1 = (other.vy*dx - other.vx * dy) / d;
+        let t2 = (self.vy * dx - self.vx*dy) / d;
+
+        if t1.is_sign_negative() || t2.is_sign_negative() {
+            // Intersection is in the past
+            return None;
+        }
+
+        let x = self.px + self.vx * t1;
+        let y = self.py + self.vy * t1;
+
+        if x.is_infinite() || y.is_infinite() {
+            // Paths are parallel
+            return None;
+        }
+
+        Some((x, y))
+    }
+}
+
+impl FromStr for Hailstone {
+    type Err = Infallible;
+
+    fn from_str(s: &str) -> Result<Self, Self::Err> {
+        let parts: Vec<f64> = s.split([',', '@']).map(|part| part.trim().parse().unwrap()).collect();
+
+        Ok(Hailstone {
+            px: parts[0],
+            py: parts[1],
+            pz: parts[2],
+            vx: parts[3],
+            vy: parts[4],
+            vz: parts[5],
+        })
+    }
+}
+
+fn mode(numbers: &[usize]) -> usize {
+    let mut occurrences = HashMap::<_, usize>::new();
+
+    for &value in numbers {
+        *occurrences.entry(value).or_insert(0) += 1;
+    }
+
+    println!("{occurrences:?}");
+
+    occurrences.into_iter().max_by_key(|&(_, count)| count).map(|(value, _)| value).unwrap()
+}
+
+// -- Solution --
+pub struct Day;
+impl aoc::Solver for Day {
+    type Output1 = usize;
+    type Output2 = usize;
+
+    fn day() -> u8 {
+        24
+    }
+
+    fn part1(input: &str) -> Self::Output1 {
+        let hailstones: Vec<_> = input.lines().flat_map(Hailstone::from_str).collect();
+
+        let range = if hailstones.len() == 5 {
+            7.0..=27.0
+        } else {
+            200000000000000.0..=400000000000000.0
+        };
+
+        hailstones.iter().enumerate().flat_map(|(index_a, a)| {
+            hailstones.iter().enumerate().filter(|(index_b, _)| index_b < &index_a).filter_map(|(_, b)| {
+                a.intersect_2d(b)
+            }).collect::<Vec<_>>()
+        }).filter(|&(x, y)| range.contains(&x) && range.contains(&y)).count()
+    }
+
+    fn part2(input: &str) -> Self::Output2 {
+        let h: Vec<_> = input.lines().flat_map(Hailstone::from_str).collect();
+
+        // Key insight for part 2 is
+        //      p_rock + v_rock * t_i = p_i + v_i * t_i
+        // for every hailstone i
+        //
+        // This can be rewritten as
+        //      p_rock - p_i = t_i * (v_i - v_rock)
+        // and since t_i is a scalar this means that
+        // (p_rock - p_i) is parallel to (v_i - v_rock)
+        // and therefore
+        //      c_i = (p_rock - p_i) x (v_i - v_rock) = 0
+        // This holds true for every hailstone i, so
+        //      c_i = c_j
+        //      c_i = c_k
+        // with i != j != k
+        // Writing out these equations leads to a set of six linear equations
+        // And can therefore be written in matrix form
+        //      A * solution = constant
+        // And the solution can now be found using
+        //      solution = A^-1 * constant
+
+        let i = 0;
+        let j = 1;
+        // Due to numerical instability we run this with several different options for the third
+        // hailstone
+        let solutions: Vec<_> = (2..h.len()).map(|k| {
+            // Constant in the matrix
+            let c1 = h[i].vz - h[j].vz;
+            let c2 = h[i].py - h[j].py;
+            let c3 = h[j].vy - h[i].vy;
+            let c4 = h[j].pz - h[i].pz;
+            let c5 = h[i].vx - h[j].vx;
+            let c6 = h[j].px - h[i].px;
+
+            let c7 = h[i].vz - h[k].vz;
+            let c8 = h[i].py - h[k].py;
+            let c9 = h[k].vy - h[i].vy;
+            let c10 = h[k].pz - h[i].pz;
+            let c11 = h[i].vx - h[k].vx;
+            let c12 = h[k].px - h[i].px;
+
+            // Setup the matrix
+            let matrix = SMatrix::<f64, 6, 6>::new(
+                0.0, c1, c3, 0.0, c4, c2,
+                -c1, 0.0, c5, -c4, 0.0, c6,
+                -c3, -c5, 0.0, -c2, -c6, 0.0,
+                0.0, c7, c9, 0.0, c10, c8,
+                -c7, 0.0, c11, -c10, 0.0, c12,
+                -c9, -c11, 0.0, -c8, -c12, 0.0
+            );
+
+            // Get the inverse of the matrix
+            let inverse = matrix.try_inverse().unwrap();
+
+            // Constant on the rhs
+            let k1 = h[i].py*h[i].vz - h[j].py*h[j].vz + h[j].pz*h[j].vy - h[i].pz*h[i].vy;
+            let k2 = h[i].pz*h[i].vx - h[j].pz*h[j].vx + h[j].px*h[j].vz - h[i].px*h[i].vz;
+            let k3 = h[i].px*h[i].vy - h[j].px*h[j].vy + h[j].py*h[j].vx - h[i].py*h[i].vx;
+            let k4 = h[i].py*h[i].vz - h[k].py*h[k].vz + h[k].pz*h[k].vy - h[i].pz*h[i].vy;
+            let k5 = h[i].pz*h[i].vx - h[k].pz*h[k].vx + h[k].px*h[k].vz - h[i].px*h[i].vz;
+            let k6 = h[i].px*h[i].vy - h[k].px*h[k].vy + h[k].py*h[k].vx - h[i].py*h[i].vx;
+
+            // Put them into a vector
+            let k = SVector::<f64, 6>::new(k1, k2, k3, k4, k5, k6);
+
+            // Calclate the solution
+            let solution = inverse * k;
+
+            // The sum of all elements of the starting position is the answer
+            (solution[0] + solution[1] + solution[2]).round() as usize
+        }).collect();
+
+        // The most common solution is the actual solution
+        mode(&solutions)
+    }
+}