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 c659b75..b1f515a 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
@@ -1,14 +1,6 @@
 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 {
 
@@ -16,94 +8,9 @@ public class AStarAlgorithm extends DijkstraAlgorithm {
         super(data);
     }
 
-    public LabelStar newLabelStar(Node s, ShortestPathData data){
-        return new LabelStar(s, false, Integer.MAX_VALUE, null, s.getPoint().distanceTo(data.getDestination().getPoint()));
-    }
-
-     @Override
-    public ShortestPathSolution doRun() {
-
-        // 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;
-
-        // initialisation
-        for(Node nod : graph.getNodes()){
-            listLabel[nod.getId()] = null ;
-            if (nod.equals(data.getOrigin())){ 
-                listLabel[nod.getId()] = new LabelStar(nod, false, 0, null,  nod.getPoint().distanceTo(data.getDestination().getPoint()));
-                tas.insert(listLabel[nod.getId()]);
-                notifyOriginProcessed(nod);
-            }
-        }
-
-        Label 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)){
-                    if(listLabel[a.getDestination().getId()] == null){
-                        listLabel[a.getDestination().getId()] = newLabelStar(a.getDestination(), data);
-                    }
-                    Node n = a.getDestination();
-                    if (!listLabel[n.getId()].getMarque()){
-                        final var c  = listLabel[n.getId()].getCost() ;
-                        final var w  = listLabel[x.getId()].getCost() + data.getCost(a) ;
-                        if (c>w){
-                            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()].getCost() == 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;
+        //@Override
+    public LabelStar newLabel(Node s, ShortestPathData dataPath) {
+        return new LabelStar(s, false, Integer.MAX_VALUE, null,
+                s.getPoint().distanceTo(dataPath.getDestination().getPoint()));
     }
 }
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 d2c8137..1ae3391 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
@@ -16,20 +16,18 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         super(data);
     }
 
-    public Label newLabel(Node s){
-        return new Label(s, false, Integer.MAX_VALUE, null);
+    public Label newLabel(Node s) {
+        return new Label(s, false, Double.MAX_VALUE, null);
     }
 
     @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 ShortestPathData dataInput = getInputData();
+        Graph graph = dataInput.getGraph();
         final int nbNodes = graph.size();
-        // ArrayList<Label> listLabel = new ArrayList<Label>(nbNodes) ; 
         Label[] listLabel = new Label[nbNodes];
         BinaryHeap<Label> tas = new BinaryHeap<>();
 
@@ -37,9 +35,9 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         ShortestPathSolution solution;
 
         // initialisation
-        for(Node nod : graph.getNodes()){
-            listLabel[nod.getId()] = null ;
-            if (nod.equals(data.getOrigin())){ 
+        for (Node nod : graph.getNodes()) {
+            listLabel[nod.getId()] = null;
+            if (nod.equals(dataInput.getOrigin())) {
                 listLabel[nod.getId()] = new Label(nod, false, 0, null);
                 tas.insert(listLabel[nod.getId()]);
                 notifyOriginProcessed(nod);
@@ -47,54 +45,50 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         }
 
         Label xl = tas.findMin();
+
         // iterations
-        while (!tas.isEmpty() && xl.sommetCourant!= data.getDestination()){
+        while (!tas.isEmpty() && xl.sommetCourant != dataInput.getDestination()) {
             xl = tas.findMin();
-            //System.out.println(xl.getCout());
-            Node x = xl.getSommetCourant() ;
+            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());}
+            xl.marque = true;
+            for (Arc a : x.getSuccessors()) {
+                if (dataInput.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){
+                    if (listLabel[n.getId()] == null) {
+                        listLabel[n.getId()] = newLabel(n);
+                    }
+                    if (!listLabel[n.getId()].getMarque()) {
+                        final var c = listLabel[n.getId()].getTotalCost();
+                        final var w = listLabel[x.getId()].getTotalCost() + dataInput.getCost(a);
+                        if (c > w) {
+                            if (listLabel[n.getId()].getCost() != Double.MAX_VALUE) {
                                 tas.remove(listLabel[n.getId()]);
-                            } else {
+                            }
+                            else {
                                 notifyNodeReached(n);
                             }
-                            listLabel[n.getId()].cout = w;
+                            listLabel[n.getId()].update(a,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);
+        // when the algorithm terminates, return the solution that has been found
+        if (listLabel[dataInput.getDestination().getId()].getCost() == Double.MAX_VALUE) {
+            solution = new ShortestPathSolution(dataInput, Status.INFEASIBLE);
         }
         else {
             // The destination has been found, notify the observers.
-            notifyDestinationReached(data.getDestination());
+            notifyDestinationReached(dataInput.getDestination());
 
             // Create the path from the array of predecessors...
             ArrayList<Arc> arcs = new ArrayList<>();
-            Label nCourant = listLabel[data.getDestination().getId()];
-            while (nCourant.pere!=null){
+            Label nCourant = listLabel[dataInput.getDestination().getId()];
+            while (nCourant.pere != null) {
                 arcs.add(nCourant.getPere());
                 nCourant = listLabel[nCourant.getPere().getOrigin().getId()];
             }
@@ -102,12 +96,10 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
             Collections.reverse(arcs);
 
             // Create the final solution.
-            solution = new ShortestPathSolution(data, Status.OPTIMAL,
+            solution = new ShortestPathSolution(dataInput, Status.OPTIMAL,
                     new Path(graph, arcs));
         }
-
-
         return solution;
     }
 
-}
+}
\ No newline at end of file
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 8af88ad..88c00b4 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
@@ -3,44 +3,54 @@ package org.insa.graphs.algorithm.shortestpath;
 import org.insa.graphs.model.Arc;
 import org.insa.graphs.model.Node;
 
-public class Label implements Comparable<Label>{
+public class Label implements Comparable<Label> {
 
-    protected Node sommetCourant ;
-    protected Boolean marque ;
-    protected double cout ;
-    protected Arc pere ;
+    protected Node sommetCourant;
+    protected Boolean marque;
+    protected double cout;
+    protected Arc pere;
 
-    public Label(Node s, Boolean m, double c, Arc p){
+    public Label(Node s, Boolean m, double c, Arc p) {
         this.sommetCourant = s;
         this.cout = c;
         this.marque = m;
         this.pere = p;
     }
 
-    public Node getSommetCourant(){
-        return this.sommetCourant ;
-    }
-    
-    public Boolean getMarque(){
-        return this.marque ;
+    public Node getSommetCourant() {
+        return this.sommetCourant;
     }
 
-    public Arc getPere(){
-        return this.pere ;
+    public Boolean getMarque() {
+        return this.marque;
     }
 
-    public double getCost(){
-        return this.cout ;
+    public Arc getPere() {
+        return this.pere;
     }
 
-    public int compareTo(Label l){
-        if (this.getCost() < l.getCost()){
+    public double getCost() {
+        return this.cout;
+    }
+
+    public double getTotalCost() {
+        return this.cout;
+    }
+
+    public void update(Arc p, double c){
+        this.pere = p;
+        this.cout = c;
+    }
+
+    @Override
+    public int compareTo(Label l) {
+        if (this.getCost() < l.getCost()) {
             return -1;
         }
-        else if(this.getCost()>l.getCost()){
+        else if (this.getCost() > l.getCost()) {
             return 1;
         }
-        else{
+        else {
             return 0;
         }
     }
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
index 5287342..2192ea1 100644
--- 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
@@ -3,22 +3,22 @@ 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>{
+public class LabelStar extends Label implements Comparable<Label> {
 
-    protected double coutDest ;
+    protected double coutDest;
 
-    public LabelStar(Node s, Boolean m, double c, Arc p, double cd){
-        super(s,m,c,p);
-        this.coutDest = cd ;
+    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 ; 
+    public double getCoutDest() {
+        return this.coutDest;
     }
 
     @Override
-    public double getCost() {
-        return this.coutDest + this.cout ; 
+    public double getTotalCost() {
+        return this.coutDest + this.cout;
     }
-    
-}
+
+}
\ No newline at end of file
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 b1c3b34..a9c223a 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/DijkstraAlgorithm.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.class
index d3ea5d3..ae8c7e3 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 47de113..2822959 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
index a4e37d8..b8c94ce 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelStar.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelStar.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 bef549e..fe3a2c1 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
@@ -60,7 +60,6 @@ public class Path {
             }
             arcs.add(chemins.get(index));
         }
-        // TODO:
         return new Path(graph, arcs);
     }
 
@@ -108,7 +107,6 @@ public class Path {
             }
             arcs.add(chemins.get(index));
         }
-        // TODO:
         return new Path(graph, arcs);
     }
 
@@ -262,7 +260,6 @@ public class Path {
                 return false;
             }
         }
-        // TODO:
         return true;
     }
 
@@ -276,7 +273,6 @@ public class Path {
         for (Arc a : this.arcs) {
             l += a.getLength();
         }
-        // TODO:
         return l;
     }
     /**
@@ -291,7 +287,6 @@ public class Path {
         for (Arc a : this.arcs) {
             l += a.getTravelTime(speed);
         }
-        // TODO:
         return l;
     }
 
@@ -302,7 +297,6 @@ public class Path {
      * @return Minimum travel time to travel this path (in seconds).
      */
     public double getMinimumTravelTime() {
-        // TODO:
         double l = 0;
         for (Arc a : this.arcs) {
             l += a.getMinimumTravelTime();
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 ba95b9d..f515e6b 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