diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelMarathon.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelMarathon.java
new file mode 100644
index 0000000..95dd6ab
--- /dev/null
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/LabelMarathon.java
@@ -0,0 +1,41 @@
+package org.insa.graphs.algorithm.shortestpath;
+
+
+import org.insa.graphs.model.Arc;
+import org.insa.graphs.model.Node;
+
+public class LabelMarathon extends Label implements Comparable<Label> {
+
+    protected double coutDest;
+
+    public LabelMarathon(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 getTotalCost() {
+        return this.coutDest + this.cout;
+    }
+
+    public double difMarathon (double d) {
+        return d - this.getTotalCost() ; 
+    }
+
+    public int compareTo(LabelMarathon l) {
+        if (this.difMarathon (43)< l.difMarathon (43)) {
+            return -1;
+        }
+        else if (this.difMarathon (43)> l.difMarathon (43)) {
+            return 1;
+        }
+        else {
+            return 0;
+        }
+    }
+
+}
\ No newline at end of file
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Marathon.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Marathon.java
index 7771b80..0f0cf01 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Marathon.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Marathon.java
@@ -16,15 +16,15 @@ public class Marathon extends ShortestPathAlgorithm {
         super(data);
     }
 
-    public Label newLabelMarathon(Node s) {
-        return new LabelMarathon(s, false, Double.MAX_VALUE, null);
+    public Label newLabelMarathon(Node s, ShortestPathData dataPath) {
+        return new LabelMarathon(s, false, Integer.MAX_VALUE, null, s.getPoint().distanceTo(dataPath.getDestination().getPoint()));
     }
 
     @Override
     public ShortestPathSolution doRun() {
 
         // retrieve data from the input problem (getInputData() is inherited from the
-        // parent class ShortestPathAlgorithm)
+        // parent class ShortestPathAlgorithm)@Override
         final ShortestPathData dataInput = getInputData();
         Graph graph = dataInput.getGraph();
         final int nbNodes = graph.size();
@@ -61,7 +61,7 @@ public class Marathon extends ShortestPathAlgorithm {
                 if (dataInput.isAllowed(a)) {
                     Node n = a.getDestination();
                     if (listLabel[n.getId()] == null) {
-                        listLabel[n.getId()] = newLabelMarathon(n);
+                        listLabel[n.getId()] = newLabelMarathon(n, dataInput);
                     }
                     if (!listLabel[n.getId()].getMarque()) {
                         possible = true ; 
@@ -70,6 +70,9 @@ public class Marathon extends ShortestPathAlgorithm {
                         if ((!n.equals(dest)) && (listLabel[n.getId()].getCost()) < 43){
                             tas.insert(listLabel[n.getId()]) ; 
                         }
+                        if ((n.equals(dest)) && (42<listLabel[n.getId()].getCost()) && (listLabel[n.getId()].getCost()< 43)){
+                            fini = true ; 
+                        }
                     }
                 }
             }
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelMarathon.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelMarathon.class
new file mode 100644
index 0000000..c854093
Binary files /dev/null and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/LabelMarathon.class differ
diff --git a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Marathon.class b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Marathon.class
index d377ba0..7918cca 100644
Binary files a/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Marathon.class and b/be-graphes-algos/target/classes/org/insa/graphs/algorithm/shortestpath/Marathon.class differ