diff --git a/src/day10.rs b/src/day10.rs
new file mode 100644
index 0000000..fd38d4f
--- /dev/null
+++ b/src/day10.rs
@@ -0,0 +1,109 @@
+use itertools::Itertools;
+
+pub fn day10() {
+    let map = HikingMap::from_str(&crate::input(10));
+
+    let all_positions = (0..map.width()).cartesian_product(0..map.height());
+    let (scores, ratings) = all_positions
+        // only the 0s (trailheads)
+        .filter(|(x, y)| map.height_at(*x, *y) == 0)
+        // (score, rating) for each trailhead
+        .map(|(x, y)| find_trails(&map, x, y))
+        // (sum of scores, sum of ratings)
+        .fold((0, 0), |acc, e| (acc.0 + e.0, acc.1 + e.1));
+
+    println!("Sum of Trailhead Scores: {}", scores);
+    println!("Sum of Trailhead Ratings: {}", ratings);
+}
+
+fn find_trails(map: &HikingMap, x: usize, y: usize) -> (usize, usize) {
+    fn find_trails(
+        map: &HikingMap,
+        x: usize,
+        y: usize,
+        visited: &mut Vec<(usize, usize)>,
+    ) -> (usize, usize) {
+        if map.height_at(x, y) == 9 {
+            let score = if !visited.contains(&(x, y)) { 1 } else { 0 };
+            visited.push((x, y));
+            return (score, 1);
+        }
+
+        Direction::all_variants()
+            .into_iter()
+            // all (nx, ny) that are accessible from (x, y)
+            .filter_map(|direction| map.travel(x, y, direction))
+            // each sum of (scores, ratings) for each adjacent position
+            .map(|(nx, ny)| find_trails(map, nx, ny, visited))
+            // sum of (scores, ratings) for this position's adjacent positions
+            .fold((0, 0), |acc, e| (acc.0 + e.0, acc.1 + e.1))
+    }
+
+    let mut visited = vec![];
+    find_trails(map, x, y, &mut visited)
+}
+
+struct HikingMap {
+    map: Vec<Vec<u8>>,
+}
+
+impl HikingMap {
+    fn from_str(s: &str) -> Self {
+        Self {
+            map: s
+                .lines()
+                .map(|line| {
+                    line.chars()
+                        .map(|c| c.to_digit(10).unwrap() as u8)
+                        .collect()
+                })
+                .collect(),
+        }
+    }
+
+    fn travel(&self, x: usize, y: usize, direction: Direction) -> Option<(usize, usize)> {
+        let (nx, ny) = direction.next_position(x, y)?;
+
+        // valid positions are in-bounds and moving upwards gradually
+        let is_valid = nx < self.width()
+            && ny < self.height()
+            && self.height_at(nx, ny).checked_sub(self.height_at(x, y)) == Some(1);
+
+        is_valid.then_some((nx, ny))
+    }
+
+    fn height_at(&self, x: usize, y: usize) -> u8 {
+        self.map[y][x]
+    }
+
+    fn height(&self) -> usize {
+        self.map.len()
+    }
+
+    fn width(&self) -> usize {
+        self.map[0].len()
+    }
+}
+
+#[derive(Copy, Clone)]
+enum Direction {
+    North,
+    East,
+    South,
+    West,
+}
+
+impl Direction {
+    fn all_variants() -> Vec<Direction> {
+        vec![Self::North, Self::East, Self::South, Self::West]
+    }
+
+    fn next_position(&self, x: usize, y: usize) -> Option<(usize, usize)> {
+        match self {
+            Self::North => Some((x, y.checked_sub(1)?)),
+            Self::East => Some((x.checked_add(1)?, y)),
+            Self::South => Some((x, y.checked_add(1)?)),
+            Self::West => Some((x.checked_sub(1)?, y)),
+        }
+    }
+}
diff --git a/src/main.rs b/src/main.rs
index 2f09c00..5bd596f 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -14,10 +14,12 @@ mod day6;
 mod day7;
 #[allow(dead_code)]
 mod day8;
+#[allow(dead_code)]
 mod day9;
+mod day10;
 
 fn main() {
-    day9::day9();
+    day10::day10();
 }
 
 pub fn input(day: u8) -> String {