diff --git a/.Rhistory b/.Rhistory
new file mode 100644
index 0000000..e69de29
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
index fd172f0..f15c7a0 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
@@ -1,9 +1,107 @@
 package org.insa.graphs.algorithm.shortestpath;
 
+import java.util.ArrayList;
+import java.util.Collections;
+
+import org.insa.graphs.algorithm.AbstractSolution.Status;
+import org.insa.graphs.algorithm.utils.BinaryHeap;
+import org.insa.graphs.model.Arc;
+import org.insa.graphs.model.Graph;
+import org.insa.graphs.model.Node;
+import org.insa.graphs.model.Path;
+
 public class AStarAlgorithm extends DijkstraAlgorithm {
 
     public AStarAlgorithm(ShortestPathData data) {
         super(data);
     }
 
+     @Override
+    public ShortestPathSolution doRun() {
+
+        System.out.println("on est dans l'algo");
+        // retrieve data from the input problem (getInputData() is inherited from the
+        // parent class ShortestPathAlgorithm)
+        final ShortestPathData data = getInputData();
+        Graph graph = data.getGraph();
+        final int nbNodes = graph.size();
+        // ArrayList<Label> listLabel = new ArrayList<Label>(nbNodes) ; 
+        LabelStar[] listLabel = new LabelStar[nbNodes];
+        BinaryHeap<Label> tas = new BinaryHeap<Label>();
+
+        // variable that will contain the solution of the shortest path problem
+        ShortestPathSolution solution = null;
+
+        // initialisation
+        for(Node nod : graph.getNodes()){
+            LabelStar l = new LabelStar(nod, false, Integer.MAX_VALUE, null, nod.getPoint().distanceTo(data.getDestination().getPoint()));
+            listLabel[nod.getId()] = l ;
+            if (nod.equals(data.getOrigin())){ 
+                tas.insert(l);
+                l.cout = 0 ;
+                notifyOriginProcessed(nod);
+            }
+        }
+
+        LabelStar xl = tas.findMin();
+        // iterations
+        while (!tas.isEmpty() && xl.sommetCourant!= data.getDestination()){
+            xl = tas.findMin();
+            //System.out.println(xl.getCout());
+            Node x = xl.getSommetCourant() ;
+            notifyNodeMarked(x);
+            xl.marque = true ;
+            for(Arc a : x.getSuccessors()){
+                if(data.isAllowed(a)){
+                    Node n = a.getDestination();
+                    if (!listLabel[n.getId()].getMarque()){
+                        final var c  = listLabel[n.getId()].cout ;
+                        final var w  = listLabel[x.getId()].cout + data.getCost(a) ;
+                        if (c<w){
+                            listLabel[n.getId()].cout = c;
+                        }
+                        else{
+                            if(listLabel[n.getId()].cout!=Integer.MAX_VALUE){
+                                tas.remove(listLabel[n.getId()]);
+                            } else {
+                                notifyNodeReached(n);
+                            }
+                            listLabel[n.getId()].cout = w;
+                            tas.insert(listLabel[n.getId()]);
+                            listLabel[n.getId()].pere = a ;
+                        }
+                    }
+                }
+            }
+            tas.remove(xl);
+        }
+        
+        // when the algorithm terminates, return the solution that has been found
+        
+
+        if (listLabel[data.getDestination().getId()].cout == Integer.MAX_VALUE) {
+            solution = new ShortestPathSolution(data, Status.INFEASIBLE);
+        }
+        else {
+            // The destination has been found, notify the observers.
+            notifyDestinationReached(data.getDestination());
+
+            // Create the path from the array of predecessors...
+            ArrayList<Arc> arcs = new ArrayList<>();
+            LabelStar nCourant = listLabel[data.getDestination().getId()];
+            while (nCourant.pere!=null){
+                arcs.add(nCourant.getPere());
+                nCourant = listLabel[nCourant.getPere().getOrigin().getId()];
+            }
+            // Reverse the path...
+            Collections.reverse(arcs);
+
+            // Create the final solution.
+            solution = new ShortestPathSolution(data, Status.OPTIMAL,
+                    new Path(graph, arcs));
+        }
+
+
+        return solution;
+    }
 }
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.java
index 709438e..c97b9ca 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.java
@@ -17,7 +17,7 @@ public class BellmanFordAlgorithm extends ShortestPathAlgorithm {
     }
 
     @Override
-    protected ShortestPathSolution doRun() {
+    public ShortestPathSolution doRun() {
 
         // Retrieve the graph.
         ShortestPathData data = getInputData();
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
index b5c3a71..148f74e 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
@@ -3,11 +3,11 @@ package org.insa.graphs.algorithm.shortestpath;
 import java.util.ArrayList;
 import java.util.Collections;
 
+import org.insa.graphs.algorithm.AbstractSolution.Status;
 import org.insa.graphs.algorithm.utils.BinaryHeap;
 import org.insa.graphs.model.Arc;
 import org.insa.graphs.model.Graph;
 import org.insa.graphs.model.Node;
-import org.insa.graphs.algorithm.AbstractSolution.Status;
 import org.insa.graphs.model.Path;
 
 public class DijkstraAlgorithm extends ShortestPathAlgorithm {
@@ -16,8 +16,12 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         super(data);
     }
 
+    public Label newLabel(Node s){
+        return new Label(s, false, Integer.MAX_VALUE, null);
+    }
+
     @Override
-    protected ShortestPathSolution doRun() {
+    public ShortestPathSolution doRun() {
 
         System.out.println("on est dans l'algo");
         // retrieve data from the input problem (getInputData() is inherited from the
@@ -27,18 +31,16 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         final int nbNodes = graph.size();
         // ArrayList<Label> listLabel = new ArrayList<Label>(nbNodes) ; 
         Label[] listLabel = new Label[nbNodes];
-        BinaryHeap<Label> tas = new BinaryHeap<Label>();
+        BinaryHeap<Label> tas = new BinaryHeap<>();
 
         // variable that will contain the solution of the shortest path problem
-        ShortestPathSolution solution = null;
+        ShortestPathSolution solution;
 
         // initialisation
         for(Node nod : graph.getNodes()){
-            Label l = new Label(nod, false, Integer.MAX_VALUE, null);
-            listLabel[nod.getId()] = l ;
-            if (nod.getId()==data.getOrigin().getId()){
-                tas.insert(l);
-                l.cout = 0 ;
+            listLabel[nod.getId()] = null ;
+            if (nod.equals(data.getOrigin())){ 
+                tas.insert(new Label(nod, false, 0, null));
                 notifyOriginProcessed(nod);
             }
         }
@@ -47,15 +49,18 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         // iterations
         while (!tas.isEmpty() && xl.sommetCourant!= data.getDestination()){
             xl = tas.findMin();
+            //System.out.println(xl.getCout());
             Node x = xl.getSommetCourant() ;
             notifyNodeMarked(x);
             xl.marque = true ;
             for(Arc a : x.getSuccessors()){
                 if(data.isAllowed(a)){
+                    if(listLabel[a.getDestination().getId()] == null){
+                        listLabel[a.getDestination().getId()] = newLabel(a.getDestination());}
                     Node n = a.getDestination();
                     if (!listLabel[n.getId()].getMarque()){
-                        int c  = listLabel[n.getId()].cout ;
-                        int w  = listLabel[x.getId()].cout + (int)a.getLength() ;
+                        final var c  = listLabel[n.getId()].cout ;
+                        final var w  = listLabel[x.getId()].cout + data.getCost(a) ;
                         if (c<w){
                             listLabel[n.getId()].cout = c;
                         }
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java
index 9b5eaed..8af88ad 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java
@@ -7,10 +7,10 @@ public class Label implements Comparable<Label>{
 
     protected Node sommetCourant ;
     protected Boolean marque ;
-    protected int cout ;
+    protected double cout ;
     protected Arc pere ;
 
-    public Label(Node s, Boolean m, int c, Arc p){
+    public Label(Node s, Boolean m, double c, Arc p){
         this.sommetCourant = s;
         this.cout = c;
         this.marque = m;
@@ -25,24 +25,19 @@ public class Label implements Comparable<Label>{
         return this.marque ;
     }
 
-    public int getCout(){
-        return this.cout;
-    }
-
     public Arc getPere(){
         return this.pere ;
     }
 
-    public int getCost(){
-        int cost = this.cout ;
-        return cost ;
+    public double getCost(){
+        return this.cout ;
     }
 
     public int compareTo(Label l){
-        if (this.cout < l.cout){
+        if (this.getCost() < l.getCost()){
             return -1;
         }
-        else if(this.cout>l.cout){
+        else if(this.getCost()>l.getCost()){
             return 1;
         }
         else{
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelStar.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelStar.java
new file mode 100644
index 0000000..5287342
--- /dev/null
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelStar.java
@@ -0,0 +1,24 @@
+package org.insa.graphs.algorithm.shortestpath;
+
+import org.insa.graphs.model.Arc;
+import org.insa.graphs.model.Node;
+
+public class LabelStar extends Label implements Comparable<Label>{
+
+    protected double coutDest ;
+
+    public LabelStar(Node s, Boolean m, double c, Arc p, double cd){
+        super(s,m,c,p);
+        this.coutDest = cd ;
+    }
+
+    public double getCoutDest () {
+        return this.coutDest ; 
+    }
+
+    @Override
+    public double getCost() {
+        return this.coutDest + this.cout ; 
+    }
+    
+}
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.class
index 1c8a1c2..7bb818f 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.class differ
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.class
index 70a6d63..eee309b 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/BellmanFordAlgorithm.class differ
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.class
index 78bc157..aa80bbe 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.class differ
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Label.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Label.class
index b88539a..47de113 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Label.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Label.class differ
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelStar.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelStar.class
new file mode 100644
index 0000000..a4e37d8
Binary files /dev/null and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelStar.class differ
diff --git a/be-graphes-gui/src/main/java/org/insa/graphs/gui/simple/Launch.java b/be-graphes-gui/src/main/java/org/insa/graphs/gui/simple/Launch.java
index 0e944e7..cac02ef 100644
--- a/be-graphes-gui/src/main/java/org/insa/graphs/gui/simple/Launch.java
+++ b/be-graphes-gui/src/main/java/org/insa/graphs/gui/simple/Launch.java
@@ -9,6 +9,12 @@ import java.io.FileInputStream;
 import javax.swing.JFrame;
 import javax.swing.SwingUtilities;
 
+import org.insa.graphs.algorithm.ArcInspector;
+import org.insa.graphs.algorithm.ArcInspectorFactory;
+import org.insa.graphs.algorithm.shortestpath.BellmanFordAlgorithm;
+import org.insa.graphs.algorithm.shortestpath.DijkstraAlgorithm;
+import org.insa.graphs.algorithm.shortestpath.ShortestPathData;
+import org.insa.graphs.algorithm.shortestpath.ShortestPathSolution;
 import org.insa.graphs.gui.drawing.Drawing;
 import org.insa.graphs.gui.drawing.components.BasicDrawing;
 import org.insa.graphs.model.Graph;
@@ -43,6 +49,11 @@ public class Launch {
         return basicDrawing;
     }
 
+    private static ShortestPathSolution paths ; 
+    private static ShortestPathSolution paths2 ; 
+    private static DijkstraAlgorithm dijkstra ; 
+    private static BellmanFordAlgorithm bellman ; 
+    private static ShortestPathData data ; 
     public static void main(String[] args) throws Exception {
 
         // visit these directory to see the list of available files on commetud.
@@ -78,6 +89,22 @@ public class Launch {
 
         // TODO: draw the path on the drawing
         drawing.drawPath(path);
+
+        data = new ShortestPathData(graph, path.getOrigin(),path.getDestination(), ArcInspectorFactory.getAllFilters().get(0)) ;
+        dijkstra = new DijkstraAlgorithm(data) ; 
+        bellman = new BellmanFordAlgorithm(data);
+        paths = dijkstra.doRun() ; 
+        paths2 = bellman.doRun() ; 
+        if (paths.getPath().isValid()){
+            System.out.println("c'est valide");
+        }
+        if (paths.getPath().getLength()==path.getLength()) {
+            System.out.println("même longueur ");
+        }
+        if (paths.getPath().getLength()==paths2.getPath().getLength()) {
+            System.out.println("Dijkstra donne le même résultat que Bellman");
+        }
+
     }
 
 }
diff --git a/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch$1.class b/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch$1.class
index f3ce2d8..b1eb6cb 100644
Binary files a/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch$1.class and b/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch$1.class differ
diff --git a/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch.class b/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch.class
index a5d653f..8e00c1f 100644
Binary files a/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch.class and b/be-graphes-gui/target/classes/org/insa/graphs/gui/simple/Launch.class differ
diff --git a/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java b/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
index d2ad83b..5298eb6 100644
--- a/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
+++ b/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
@@ -270,7 +270,6 @@ public class Path {
      * Compute the length of this path (in meters).
      *
      * @return Total length of the path (in meters).
-     * @deprecated Need to be implemented.
      */
     public float getLength() {
         float l = 0;
@@ -280,7 +279,6 @@ public class Path {
         // TODO:
         return l;
     }
-
     /**
      * Compute the time required to travel this path if moving at the given speed.
      *
diff --git a/be-graphes-model/target/classes/org/insa/graphs/model/Path.class b/be-graphes-model/target/classes/org/insa/graphs/model/Path.class
index af43bf9..fc4c3b8 100644
Binary files a/be-graphes-model/target/classes/org/insa/graphs/model/Path.class and b/be-graphes-model/target/classes/org/insa/graphs/model/Path.class differ