diff --git a/mainwindow.cpp b/mainwindow.cpp
index 5d60010..5e523c5 100644
--- a/mainwindow.cpp
+++ b/mainwindow.cpp
@@ -1,6 +1,9 @@
 #include "mainwindow.h"
 #include "ui_mainwindow.h"
+#include <vector>
+#include <set>
 
+using namespace std;
 /* **** début de la partie à compléter **** */
 
 void MainWindow::showSelections(MyMesh* _mesh)
@@ -112,6 +115,52 @@ void MainWindow::showPath(MyMesh* _mesh, int v1, int v2)
     displayMesh(_mesh);
 }
 
+int minimal_new(vector<ulong> dist, set<int> visited) {
+    long mini = LONG_MAX;
+    int mini_id = -1;
+    for (int i = 0; i < dist.size(); i++) {
+        if (visited.count(i) == 0 && dist[i] < mini) {
+            mini = dist[i];
+            mini_id = i;
+        }
+    }
+    return mini_id;
+}
+
+vector<EdgeHandle> meinDijkstra(MyMesh *_mesh, int v1, int v2) {
+    set<int> visited_nodes_id = {};
+    const int nb = _mesh->n_faces();
+    vector<ulong> dist_min (nb, ULONG_MAX);
+    vector<int> prec_hv_id (nb, -1);
+    dist_min[v1] = 0;
+    int current;
+    VertexHandle current_node;
+    uint distance;
+    while (visited_nodes_id.size() != nb) {
+        current = minimal_new(dist_min, visited_nodes_id);
+        visited_nodes_id.insert(current);
+        if (current == v2) break;
+        current_node = _mesh->vertex_handle(current);
+        for (auto voh_it = _mesh->voh_iter(current_node); voh_it.is_valid(); ++voh_it) {
+            distance = dist_min[current] + _mesh->valence(*voh_it);
+            //following = *voh_it->outgoingvertex;
+            if (distance < dist_min[following]) {
+                dist_min[successeur] = distance;
+                prec_hv_id[successeur] = *voh_it->idx;
+            }
+        }
+    }
+    vector<EdgeHandle> path;
+    if (prec_hv_id[v2] != -1) {
+        current = v2;
+        while (predecesseur[current] != -1) {
+            path.push_back(predecesseur[current].edge);
+            current = path.end()->incoming_node;
+        }
+    }
+    return path;
+}
+
 /* **** fin de la partie à compléter **** */