feat: add initial implementation of unique paths solution

62_unique_path/Cargo.lock

@@ -0,0 +1,7 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 4
+
+[[package]]
+name = "unique_path"
+version = "0.1.0"

62_unique_path/Cargo.toml

@@ -0,0 +1,6 @@
+[package]
+name = "unique_path"
+version = "0.1.0"
+edition = "2024"
+
+[dependencies]

62_unique_path/src/main.rs

@@ -0,0 +1,18 @@
+fn main() {
+    println!("Hello, world!");
+}
+
+struct Solution;
+
+impl Solution {
+    pub fn unique_paths(m: i32, n: i32) -> i32 {
+        let mut grid = vec![1; n as usize];
+        for _ in 1..m {
+            for i in 1..n as usize {
+                grid[i] += grid[i - 1];
+            }
+        }
+
+        *grid.last().unwrap()
+    }
+}