adding dijkstra

lisbon-shortest-path/Cargo.toml

@@ -0,0 +1,9 @@
+[package]
+name = "lisbon-shortest-path"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+petgraph = "0.6.3"

lisbon-shortest-path/Makefile

@@ -0,0 +1,13 @@
+format:
+	cargo fmt --quiet
+
+lint:
+	cargo clippy --quiet
+
+test:
+	cargo test --quiet
+
+run:
+	cargo run 
+
+all: format lint test run

lisbon-shortest-path/src/main.rs

@@ -0,0 +1,33 @@
+use petgraph::algo::dijkstra;
+use petgraph::prelude::*;
+
+fn main() {
+    let mut graph = Graph::<&str, u32, Undirected>::new_undirected();
+
+    let belem_tower = graph.add_node("Belem Tower");
+    let monastery = graph.add_node("Jerónimos Monastery");
+    let lx_factory = graph.add_node("LX Factory");
+    let commerce_square = graph.add_node("Commerce Square");
+    let lisbon_cathedral = graph.add_node("Lisbon Cathedral");
+
+    graph.extend_with_edges([
+        (belem_tower, monastery, 1), // The distance from Belem Tower to Jerónimos Monastery is 1 km
+        (belem_tower, lx_factory, 3), // The distance from Belem Tower to LX Factory is 3 km
+        (belem_tower, commerce_square, 7), // The distance from Belem Tower to Commerce Square is 7 km
+        (monastery, lx_factory, 3), // The distance from Jerónimos Monastery to LX Factory is 3 km
+        (monastery, commerce_square, 6), // The distance from Jerónimos Monastery to Commerce Square is 6 km
+        (lx_factory, commerce_square, 5), // The distance from LX Factory to Commerce Square is 5 km
+        (commerce_square, lisbon_cathedral, 1), // The distance from Commerce Square to Lisbon Cathedral is 1 km
+    ]);
+
+    let node_map = dijkstra(&graph, belem_tower, Some(lisbon_cathedral), |e| *e.weight());
+
+    if let Some(distance) = node_map.get(&lisbon_cathedral) {
+        println!(
+            "The shortest distance from Belem Tower to Lisbon Cathedral is {} km",
+            distance
+        );
+    } else {
+        println!("No route found from Belem Tower to Lisbon Cathedral.");
+    }
+}