18 files changed, 45380 insertions, 0 deletions
diff --git a/sem_5/HLIN501_Graphes/TP/TP1/tp1 b/sem_5/HLIN501_Graphes/TP/TP1/tp1
new file mode 100644
index 0000000..01d8041
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP1/tp1
diff --git a/sem_5/HLIN501_Graphes/TP/TP1/tp1.cc b/sem_5/HLIN501_Graphes/TP/TP1/tp1.cc
new file mode 100644
index 0000000..414a003
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP1/tp1.cc
@@ -0,0 +1,96 @@
+#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <stack>
+using namespace std;
+
+void ecritureTailles(int n, int m, int comp[]);
+void composantes(int n, int m, int edge[][2], int comp[]);
+void grapheRandom(int,int, int[][2]);
+void printgraphe (int, int, int[][2]);
+
+int main(int argc, char ** argv)
+{
+  int n;     // Nombre de sommets.
+  int m;     // Nombre d'aretes.
+  cout << "Entrer le nombre de sommets:";
+  cin >> n;
+  cout << "Entrer le nombre d'aretes:";
+  cin >> m;
+  int edge[m][2];    // Tableau des aretes.
+  int comp[n];       // comp[i] est le numero de la composante contenant i.
+  grapheRandom(n,m,edge);
+  //printgraphe(n,m,edge);
+  composantes(n,m,edge,comp);
+  cout<<endl<<endl;
+  ecritureTailles(n,m,comp);
+
+  return EXIT_SUCCESS;
+}
+
+void ecritureTailles(int n, int m, int comp[]){
+  int comptemp[n];
+  int compteur = 0;
+  int tab[n];//n sera le nombre de cellule dans la composante, t[n] sera le nombre de composantes de tant de cellules
+  for(int i =0 ; i <n; i ++){
+    comptemp[i]=0;
+    tab[i]=0;
+  }
+  for (int i = 0 ; i < n; i ++){
+    if (comptemp[comp[i]]==0) compteur ++;
+    comptemp[comp[i]] ++; //comptemp est a present un tableau qui pour n numero d'une composante associe le nombre de cellule incluses
+  }
+  for (int i =0; i < n; i ++){
+    tab[comptemp[i]-1]++;
+  }
+
+  cout<<"Il y a "<<compteur<<" composantes connexes"<<endl;
+  cout<<"Lesquelles sont : "<< endl;
+  for (int i = 0 ; i<n; i ++){
+    if (tab[i]>=1){
+      cout<<"Il y a "<< tab[i] << " composantes de taille "<< i+1 << " Sommets"<<endl;
+    }
+  }
+}
+void composantes(int n, int m, int edge[][2], int comp[]){
+  int taille[n];
+  vector<int> L[n];
+  for (int i = 0 ; i < n; i ++) {
+    comp[i]=i;
+    taille[i]=1;
+    L[i].push_back(i);
+  }
+  for ( int i = 0 ; i < m; i ++){
+    int * x = &comp[edge[i][0]];
+    int * y = &comp[edge[i][1]];
+    if (*x != *y){
+      if (taille[*x]>taille[*y]){
+        swap(x,y);
+      }
+      int aux = *x;
+      taille[*y]+=taille[aux];
+      for(int j = 0; j < taille[aux]; j ++){
+        int tmp = L[aux].back();
+        comp[tmp]=*y;
+        L[*y].push_back(tmp);
+        L[aux].pop_back();
+      }
+    }
+  }
+}
+
+void printgraphe (int n, int m, int edge[][2]){
+  cout<<n<<" Sommets et "<<m<<" aretes"<<endl;
+  for (int i = 0 ; i < m; i ++){
+    cout << "Arete "<< i << ":[" <<edge[i][0]<< ";"<<edge[i][1]<<"]";
+  }
+  cout<<endl;
+}
+
+void grapheRandom(int n,int m, int edge[][2]){
+  srand(time(NULL));
+  for (int i = 0; i < m;i ++){
+    edge[i][0]=rand()%n;
+    edge[i][1]=rand()%n;
+  }
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP2/a.out b/sem_5/HLIN501_Graphes/TP/TP2/a.out
new file mode 100644
index 0000000..6742753
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP2/a.out
diff --git a/sem_5/HLIN501_Graphes/TP/TP2/arbre.ps b/sem_5/HLIN501_Graphes/TP/TP2/arbre.ps
new file mode 100644
index 0000000..e0ec867
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP2/arbre.ps
@@ -0,0 +1,46 @@
+%!PS-Adobe-3.0
+%%BoundingBox: 0 0 612 792
+
+553 782 3 0 360 arc
+0 setgray
+fill
+stroke
+
+294 166 3 0 360 arc
+0 setgray
+fill
+stroke
+
+498 380 3 0 360 arc
+0 setgray
+fill
+stroke
+
+191 16 3 0 360 arc
+0 setgray
+fill
+stroke
+
+478 181 3 0 360 arc
+0 setgray
+fill
+stroke
+
+
+294 166 moveto
+191 16 lineto
+stroke
+
+294 166 moveto
+478 181 lineto
+stroke
+
+498 380 moveto
+478 181 lineto
+stroke
+
+553 782 moveto
+498 380 lineto
+stroke
+
+showpage
diff --git a/sem_5/HLIN501_Graphes/TP/TP2/graphe.ps b/sem_5/HLIN501_Graphes/TP/TP2/graphe.ps
new file mode 100644
index 0000000..15ac7b5
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP2/graphe.ps
@@ -0,0 +1,70 @@
+%!PS-Adobe-3.0
+%%BoundingBox: 0 0 612 792
+
+553 782 3 0 360 arc
+0 setgray
+fill
+stroke
+
+294 166 3 0 360 arc
+0 setgray
+fill
+stroke
+
+498 380 3 0 360 arc
+0 setgray
+fill
+stroke
+
+191 16 3 0 360 arc
+0 setgray
+fill
+stroke
+
+478 181 3 0 360 arc
+0 setgray
+fill
+stroke
+
+
+294 166 moveto
+191 16 lineto
+stroke
+
+294 166 moveto
+478 181 lineto
+stroke
+
+498 380 moveto
+478 181 lineto
+stroke
+
+294 166 moveto
+498 380 lineto
+stroke
+
+191 16 moveto
+478 181 lineto
+stroke
+
+553 782 moveto
+498 380 lineto
+stroke
+
+498 380 moveto
+191 16 lineto
+stroke
+
+553 782 moveto
+478 181 lineto
+stroke
+
+553 782 moveto
+294 166 lineto
+stroke
+
+553 782 moveto
+191 16 lineto
+stroke
+
+showpage
diff --git a/sem_5/HLIN501_Graphes/TP/TP2/tp2.cc b/sem_5/HLIN501_Graphes/TP/TP2/tp2.cc
new file mode 100644
index 0000000..8ec3bbc
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP2/tp2.cc
@@ -0,0 +1,189 @@
+#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <fstream>
+#include <cmath>
+
+typedef struct coord{int abs; int ord;} coord;
+void pointRandom(int n, coord point[]);
+void distances(int n, int m, coord point[], int edge[][3]);
+void tri(int m, int edge[][3]);
+void affichageGraphique(int n, int m, coord point[], int arbre[][2],  const char * filename);
+void kruskal (int n, int edge[][3], int arbre[][2]);
+void fusion(int tableau[][3],int deb1,int fin1,int fin2);
+void tri_fusion(int tableau[][3],int longueur);
+void tri_fusion_bis(int tableau[][3],int deb,int fin);
+using namespace std;
+
+int
+main()
+{
+  int n;            //Le nombre de points.
+  cout << "Entrer le nombre de points: ";
+  cin >> n;
+  int m=n*(n-1)/2;   // Le nombre de paires de points.
+  coord point[n];    // Les coordonnees des points dans le plan.
+  int edge[m][3];    // Les paires de points et le carre de leur longueur.
+  int arbre[n-1][2]; // Les aretes de l'arbre de Kruskal.
+  pointRandom(n,point);
+  distances(n,m,point,edge);
+  tri_fusion(edge,m);
+  // for (int i =0; i < m; i ++){
+  //   cout << "point "<< edge[i][0]<<":"<<edge[i][1]<<" coords : ("<< point[edge[i][0]].abs<<";"<<point[edge[i][0]].ord <<") ; ("<<point[edge[i][1]].abs<<" ; "<<point[edge[i][1]].ord<<") norme : "<<edge[i][2]<< endl;
+  // }
+  int edge2[m][2];
+  for(int i =0; i < m; i ++){
+    edge2[i][0]=edge[i][0];
+    edge2[i][1]=edge[i][1];
+  }
+  affichageGraphique(n,m, point,edge2, "graphe.ps");
+  kruskal(n,edge,arbre);
+  cout<<"Kruskal OK"<<endl;
+  affichageGraphique(n,n-1,point,arbre, "arbre.ps");
+  // system("evince graphe.ps");
+  return EXIT_SUCCESS;
+}
+
+void pointRandom(int n, coord point[]){
+    srand(time(NULL));
+    for (int i =0; i < n; i ++){
+      point[i].abs = rand()%612;
+      point[i].ord =rand()%792;
+      //cout << "Created point "<<i<<" coords : "<< point[i].abs <<" : "<<point[i].ord<<endl;
+    }
+}
+
+void distances(int n, int m, coord point[], int edge[][3]){
+  int k = 0;
+    for (int i =0; i < n; i ++){
+      for(int j = i+1; j < n; j ++){
+        edge[k][0]=i;
+        edge[k][1]=j;
+        edge[k][2]=(pow(point[j].abs-point[i].abs,2)+pow(point[j].ord-point[i].ord,2));
+        k++;
+      }
+    }
+    cout<<"calcul des distance : OK"<<endl;
+}
+
+void fusion(int tableau[][3],int deb1,int fin1,int fin2)
+        {
+        int table1[fin1-deb1+1][3];
+        int deb2=fin1+1;
+        int compt1=deb1;
+        int compt2=deb2;
+        int i;
+        for(i=deb1;i<=fin1;i++)
+            {
+            swap(table1[i-deb1],tableau[i]);
+            }
+
+        for(i=deb1;i<=fin2;i++)
+            {
+            if (compt1==deb2)
+                {
+                break;
+                }
+            else if (compt2==(fin2+1))
+                {
+                swap(tableau[i],table1[compt1-deb1]);
+                compt1++;
+                }
+            else if (table1[compt1-deb1][2]<tableau[compt2][2])
+                {
+                swap(tableau[i],table1[compt1-deb1]);
+                compt1++;
+                }
+            else
+                {
+                swap(tableau[i],tableau[compt2]);
+                compt2++;
+                }
+            }
+        }
+
+void tri_fusion_bis(int tableau[][3],int deb,int fin)
+        {
+        if (deb!=fin)
+            {
+            int milieu=(fin+deb)/2;
+            tri_fusion_bis(tableau,deb,milieu);
+            tri_fusion_bis(tableau,milieu+1,fin);
+            fusion(tableau,deb,milieu,fin);
+            }
+        }
+
+void tri_fusion(int tableau[][3],int longueur)
+     {
+     if (longueur>0)
+            {
+            tri_fusion_bis(tableau,0,longueur-1);
+            }
+     }
+void tri(int m, int edge[][3]){
+  for (int i = 0 ; i < m ; i ++){
+    for(int j=i+1; j < m; j ++){
+      if ( edge[i][2]>edge[j][2]){
+        swap(edge[i][0],edge[j][0]);
+        swap(edge[i][1],edge[j][1]);
+        swap(edge[i][2],edge[j][2]);
+      }
+    }
+  }
+}
+
+void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename)
+// Cree le fichier Exemple.ps qui affiche
+// les points et l'arbre de Kruskal.
+{
+  ofstream output;
+  output.open(filename,ios::out);
+  output << "%!PS-Adobe-3.0" << endl;
+  output << "%%BoundingBox: 0 0 612 792" << endl;
+  output << endl;
+  for(int i=0;i<n;i++)
+    {
+      output << point[i].abs << " " << point[i].ord << " 3 0 360 arc" <<endl;
+      output << "0 setgray" <<endl;
+      output << "fill" <<endl;
+      output << "stroke"<<endl;
+      output << endl;
+    }
+  output << endl;
+  for(int i=0;i<m;i++)
+   {
+     output << point[arbre[i][0]].abs << " " << point[arbre[i][0]].ord
+	    << " moveto" << endl;
+     output << point[arbre[i][1]].abs << " " << point[arbre[i][1]].ord
+	    << " lineto" << endl;
+     output << "stroke" << endl;
+     output << endl;
+   }
+  output << "showpage";
+  output << endl;
+}
+
+void kruskal (int n, int edge[][3], int arbre[][2]){
+  int comp[n];
+  int indicea=0;
+  for(int i =0; i < n-1; i ++){
+    arbre[i][0]=0;
+    arbre[i][1]=0;
+  }
+  for (int i = 0; i < n; i ++){
+    comp[i]=i;
+  }
+  for(int i = 0 ; i < n*(n-1)/2;i++ ){
+    if ( comp[edge[i][0]]!=comp[edge[i][1]]){
+      int aux = comp[edge[i][0]];
+      arbre[indicea][0]=edge[i][0];
+      arbre[indicea][1]=edge[i][1];
+      for(int j = 0; j < n; j ++){
+        if (comp[j]==aux){
+          comp[j]=comp[edge[i][1]];
+        }
+      }
+      indicea++;
+    }
+  }
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP2/tribulle.cc b/sem_5/HLIN501_Graphes/TP/TP2/tribulle.cc
new file mode 100644
index 0000000..0266596
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP2/tribulle.cc
@@ -0,0 +1,189 @@
+#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <fstream>
+#include <cmath>
+
+typedef struct coord{int abs; int ord;} coord;
+void pointRandom(int n, coord point[]);
+void distances(int n, int m, coord point[], int edge[][3]);
+void tri(int m, int edge[][3]);
+void affichageGraphique(int n, int m, coord point[], int arbre[][2],  const char * filename);
+void kruskal (int n, int edge[][3], int arbre[][2]);
+void fusion(int tableau[][3],int deb1,int fin1,int fin2);
+void tri_fusion(int tableau[][3],int longueur);
+void tri_fusion_bis(int tableau[][3],int deb,int fin);
+using namespace std;
+
+int
+main()
+{
+  int n;             //Le nombre de points.
+  cout << "Entrer le nombre de points: ";
+  cin >> n;
+  int m=n*(n-1)/2;   // Le nombre de paires de points.
+  coord point[n];    // Les coordonnees des points dans le plan.
+  int edge[m][3];    // Les paires de points et le carre de leur longueur.
+  int arbre[n-1][2]; // Les aretes de l'arbre de Kruskal.
+  pointRandom(n,point);
+  distances(n,m,point,edge);
+  tri(m,edge);
+  for (int i =0; i < m; i ++){
+    cout << "point "<< edge[i][0]<<":"<<edge[i][1]<<" coords : ("<< point[edge[i][0]].abs<<";"<<point[edge[i][0]].ord <<") ; ("<<point[edge[i][1]].abs<<" ; "<<point[edge[i][1]].ord<<") norme : "<<edge[i][2]<< endl;
+  }
+  int edge2[m][2];
+  for(int i =0; i < m; i ++){
+    edge2[i][0]=edge[i][0];
+    edge2[i][1]=edge[i][1];
+  }
+  affichageGraphique(n,m, point,edge2, "graphe.ps");
+  kruskal(n,edge,arbre);
+  affichageGraphique(n,n-1,point,arbre, "arbre.ps");
+  // system("evince graphe.ps");
+  return EXIT_SUCCESS;
+}
+
+void pointRandom(int n, coord point[]){
+    srand(time(NULL));
+    for (int i =0; i < n; i ++){
+      point[i].abs = rand()%612;
+      point[i].ord =rand()%792;
+      cout << "Created point "<<i<<" coords : "<< point[i].abs <<" : "<<point[i].ord<<endl;
+    }
+}
+
+void distances(int n, int m, coord point[], int edge[][3]){
+  int k = 0;
+    for (int i =0; i < n; i ++){
+      for(int j = i+1; j < n; j ++){
+        edge[k][0]=i;
+        edge[k][1]=j;
+        edge[k][2]=(pow(point[j].abs-point[i].abs,2)+pow(point[j].ord-point[i].ord,2));
+        k++;
+      }
+    }
+    cout<<"calcul des distance : OK"<<endl;
+}
+
+void fusion(int tableau[][3],int deb1,int fin1,int fin2)
+        {
+        int table1[fin1-deb1+1][3];
+        int deb2=fin1+1;
+        int compt1=deb1;
+        int compt2=deb2;
+        int i;
+        //on recopie les éléments du début du tableau
+        for(i=deb1;i<=fin1;i++)
+            {
+            swap(table1[i-deb1],tableau[i]);
+            }
+
+        for(i=deb1;i<=fin2;i++)
+            {
+            if (compt1==deb2) //c'est que tous les éléments du premier tableau ont été utilisés
+                {
+                break; //tous les éléments ont donc été classés
+                }
+            else if (compt2==(fin2+1)) //c'est que tous les éléments du second tableau ont été utilisés
+                {
+                swap(tableau[i],table1[compt1-deb1]); //on ajoute les éléments restants du premier tableau
+                compt1++;
+                }
+            else if (table1[compt1-deb1][2]<tableau[compt2][2])
+                {
+                swap(tableau[i],table1[compt1-deb1]); //on ajoute un élément du premier tableau
+                compt1++;
+                }
+            else
+                {
+                swap(tableau[i],tableau[compt2]); //on ajoute un élément du second tableau
+                compt2++;
+                }
+            }
+        }
+
+void tri_fusion_bis(int tableau[][3],int deb,int fin)
+        {
+        if (deb!=fin)
+            {
+            int milieu=(fin+deb)/2;
+            tri_fusion_bis(tableau,deb,milieu);
+            tri_fusion_bis(tableau,milieu+1,fin);
+            fusion(tableau,deb,milieu,fin);
+            }
+        }
+
+void tri_fusion(int tableau[][3],int longueur)
+     {
+     if (longueur>0)
+            {
+            tri_fusion_bis(tableau,0,longueur-1);
+            }
+     }
+void tri(int m, int edge[][3]){
+  for (int i = 0 ; i < m ; i ++){
+    for(int j=i+1; j < m; j ++){
+      if ( edge[i][2]>edge[j][2]){
+        swap(edge[i][0],edge[j][0]);
+        swap(edge[i][1],edge[j][1]);
+        swap(edge[i][2],edge[j][2]);
+      }
+    }
+  }
+}
+
+void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename)
+// Cree le fichier Exemple.ps qui affiche
+// les points et l'arbre de Kruskal.
+{
+  ofstream output;
+  output.open(filename,ios::out);
+  output << "%!PS-Adobe-3.0" << endl;
+  output << "%%BoundingBox: 0 0 612 792" << endl;
+  output << endl;
+  for(int i=0;i<n;i++)
+    {
+      output << point[i].abs << " " << point[i].ord << " 3 0 360 arc" <<endl;
+      output << "0 setgray" <<endl;
+      output << "fill" <<endl;
+      output << "stroke"<<endl;
+      output << endl;
+    }
+  output << endl;
+  for(int i=0;i<m;i++)
+   {
+     output << point[arbre[i][0]].abs << " " << point[arbre[i][0]].ord
+	    << " moveto" << endl;
+     output << point[arbre[i][1]].abs << " " << point[arbre[i][1]].ord
+	    << " lineto" << endl;
+     output << "stroke" << endl;
+     output << endl;
+   }
+  output << "showpage";
+  output << endl;
+}
+
+void kruskal (int n, int edge[][3], int arbre[][2]){
+  int comp[n];
+  int indicea=0;
+  for(int i =0; i < n-1; i ++){
+    arbre[i][0]=0;
+    arbre[i][1]=0;
+  }
+  for (int i = 0; i < n; i ++){
+    comp[i]=i;
+  }
+  for(int i = 0 ; i < n*(n-1)/2;i++ ){
+    if ( comp[edge[i][0]]!=comp[edge[i][1]]){
+      int aux = comp[edge[i][0]];
+      arbre[indicea][0]=edge[i][0];
+      arbre[indicea][1]=edge[i][1];
+      for(int j = 0; j < n; j ++){
+        if (comp[j]==aux){
+          comp[j]=comp[edge[i][1]];
+        }
+      }
+      indicea++;
+    }
+  }
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP3/tp3 b/sem_5/HLIN501_Graphes/TP/TP3/tp3
new file mode 100644
index 0000000..f9f9e25
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP3/tp3
diff --git a/sem_5/HLIN501_Graphes/TP/TP3/tp3.cc b/sem_5/HLIN501_Graphes/TP/TP3/tp3.cc
new file mode 100644
index 0000000..15dfce8
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP3/tp3.cc
@@ -0,0 +1,207 @@
+#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <fstream>
+#include <cmath>
+#include<vector>
+#include<queue>
+#include<stack>
+
+typedef struct coord{int abs; int ord;} coord;
+bool search (std::vector<int> vec, int x);
+void ecritureNiveaux(int n, int niveau[]);
+void voisinsRandom(int n, int m, std::vector<int>voisins[]);
+void afficheGraph (int n, std::vector<int>voisins[]);
+void parcoursLargeur(int n, std::vector<int>voisins[],int niveau[], int ordre[], int pere[]);
+void afficheArbre(int n, int pere[], int ordre[]);
+void pacoursProf(int n, int r, std::vector<std::stack<int>*> voisins, int debut[],int fin[], int pere[], int niveau[]);
+void vectortostack(int n,std::vector<int> arch[], std::vector<std::stack <int>* > young);
+void afficheArbrebis(int n, int pere[]);
+using namespace std;
+
+void voisinsRandom(int n, int m, vector<int>voisins[]){
+  srand(time(NULL));
+  int x=1; int y=0;
+  for (int i = 0; i < m; i ++){
+    do {
+    x = rand()%n;
+    y = rand()%n;
+    while (x==y){
+      y = rand()%n;
+    }
+  } while (search(voisins[x],y));
+    voisins[x].push_back(y);
+    voisins[y].push_back(x);
+  }
+}
+bool search (vector<int> vec, int x){
+  int i = 0;
+  if (vec.size()==0){
+    return false;
+  }
+  while (vec[i]!=x){
+    i ++;
+    if (i>vec.size()){
+      return false;
+    }
+  }
+  return true;
+}
+int main() {
+  int n;            //Le nombre de points.
+  int m; // nb aretes
+  cout << "Entrer le nombre de points: ";
+  cin >> n;
+  cout << "Entrer le nombre d'aretes: ";
+  cin>>m;
+  if (m > n*(n-1)/2){
+    cout<<"Nombre d'aretes trop grand, cap à : "<< n*(n-1)/2<<endl;
+    m=n*(n-1)/2;
+  }
+  vector<int> voisins[n];
+  int pere[n];
+  int ordre[n];
+  int niveau[n];
+  int niveau2[n];
+  int debut[n];
+  int fin[n];
+  vector<stack < int >* > piledevoisins = vector< stack < int > * >(n);
+  for (int i =0; i < n; i ++){
+    piledevoisins[i]=new stack<int>;
+  }
+  // for (int i = 0; i < n ; i ++){
+  //   piledevoisins[i]=new stack<int>;
+  // }
+  voisinsRandom(n,m,voisins);
+  afficheGraph(n,voisins);
+  parcoursLargeur(n,voisins,niveau,ordre,pere);
+  afficheArbre(n, pere, ordre);
+  //ecritureNiveaux(n,niveau);
+  cout<<"Parcours en profondeur OK"<<endl;
+  vectortostack(n, voisins, piledevoisins);
+  pacoursProf(n,0,piledevoisins, debut, fin, pere, niveau2);
+  afficheArbrebis(n,pere);
+  ecritureNiveaux(n,niveau2);
+  cout<<"Parcours Prof OK"<<endl;
+  return EXIT_SUCCESS;
+}
+void afficheGraph (int n, vector<int>voisins[]){
+  for (int i =0; i < n; i ++){
+    int j = 0;
+    cout<<"Sommet "<<i<< " Voisins : ";
+    while (voisins[i].size()>j){
+      cout<< " "<<voisins[i][j];
+      j ++;
+    }
+    cout<<endl;
+  }
+}
+void afficheArbre(int n, int pere[], int ordre[]){
+  for (int i =0; i < n; i  ++ ){
+    cout << "Pere de "<<i<<" : "<<pere[i]<<endl;
+    cout << "Ordre de "<<i<<" : "<<ordre[i]<<endl;
+
+  }
+}
+void afficheArbrebis(int n, int pere[]){
+  for (int i =0; i < n; i  ++ ){
+    cout << "Pere de "<<i<<" : "<<pere[i]<<endl;
+  }
+}
+void parcoursLargeur(int n, vector<int>voisins[],int niveau[], int ordre[], int pere[]){
+  int dejavu[n];
+  for (int i =0; i < n; i ++ ){
+    dejavu[i]=0;
+  }
+  int r=0;
+  dejavu[r]=1;
+  ordre[r]=1;
+  pere[r]=r;
+  niveau[r]=0;
+  queue<int> AT;
+  AT.push(r);
+  int t = 2;
+  while (!AT.empty()){
+    int v = AT.front();
+    AT.pop();
+    for (int i =0; i < voisins[v].size();i ++){
+      int x = voisins[v][i];
+      if (!dejavu[x]){
+        dejavu[x]=1;
+        AT.push(x);
+        ordre[x]=t;
+        t ++;
+        pere[x]=v;
+        niveau[x]=niveau[v]+1;
+      }
+    }
+  }
+}
+void pacoursProf(int n, int r, vector<stack<int>* > voisins, int debut[],int fin[], int pere[] ,int niveau[]){
+  int dejavu[n];
+  for (int i =0; i < n; i ++ ){
+    dejavu[i]=0;
+  }
+  dejavu[r]=1;
+  debut[r]=1;
+  pere[r]=r;
+  niveau[r]=0;
+  stack<int> AT;
+  AT.push(r);
+  int t = 2;
+  while (!AT.empty()){
+    int x = AT.top();
+    if (voisins[x]->empty()){
+      AT.pop();
+      fin[x]=t;
+      t ++;
+    }
+    else {
+      int y = voisins[x]->top();
+      voisins[x]->pop();
+      if (!dejavu[y]){
+        dejavu[y]=1;
+        AT.push(y);
+        debut[y]=t;
+        t++;
+        pere[y]=x;
+        niveau[y]=niveau[x]+1;
+        cout << "Niveau de "<<y << " = "<<niveau[x]+1<<endl;
+      }
+    }
+  }
+}
+void vectortostack(int n,vector<int> arch[], vector<stack <int>* > young){
+  for (int i = 0; i < n; i ++ ){
+    for (int j =0; j < arch[i].size(); j++){
+      young[i]->push(arch[i][j]);
+    }
+  }
+}
+void ecritureNiveaux(int n, int niveau[]){
+  int tmp[n];
+  for (int i =0; i < n; i ++){
+    tmp[i]=0;
+  }
+  for (int i = 0 ; i < n; i ++ ){
+    tmp[niveau[i]]++;
+  }
+  for (int i = 0; i < n; i ++){
+    if (tmp[i]==0){
+      return;
+    }
+    // cout<< "Il y a "<< tmp[i]<< " sommets de niveau " <<i<<endl;
+  }
+}
+void distances(int n, int m, coord point[], int edge[][3]){
+  int k = 0;
+    for (int i =0; i < n; i ++){
+      for(int j = i+1; j < n; j ++){
+        edge[k][0]=i;
+        edge[k][1]=j;
+        edge[k][2]=(pow(point[j].abs-point[i].abs,2)+pow(point[j].ord-point[i].ord,2));
+        k++;
+      }
+    }
+    cout<<"calcul des distance : OK"<<endl;
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP4/affichage.ps b/sem_5/HLIN501_Graphes/TP/TP4/affichage.ps
new file mode 100644
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+296 177 moveto
+295 128 lineto
+stroke
+
+108 539 moveto
+76 548 lineto
+stroke
+
+507 516 moveto
+537 521 lineto
+stroke
+
+507 516 moveto
+529 512 lineto
+stroke
+
+444 531 moveto
+454 540 lineto
+stroke
+
+189 638 moveto
+200 594 lineto
+stroke
+
+217 174 moveto
+229 205 lineto
+stroke
+
+233 577 moveto
+230 534 lineto
+stroke
+
+79 119 moveto
+99 151 lineto
+stroke
+
+266 221 moveto
+264 258 lineto
+stroke
+
+42 180 moveto
+52 143 lineto
+stroke
+
+473 118 moveto
+505 95 lineto
+stroke
+
+4 127 moveto
+8 83 lineto
+stroke
+
+311 334 moveto
+335 300 lineto
+stroke
+
+295 128 moveto
+307 88 lineto
+stroke
+
+207 563 moveto
+200 594 lineto
+stroke
+
+229 205 moveto
+204 173 lineto
+stroke
+
+49 549 moveto
+76 548 lineto
+stroke
+
+showpage
diff --git a/sem_5/HLIN501_Graphes/TP/TP4/tp4 b/sem_5/HLIN501_Graphes/TP/TP4/tp4
new file mode 100644
index 0000000..3889cf0
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP4/tp4
diff --git a/sem_5/HLIN501_Graphes/TP/TP4/tp4.cc b/sem_5/HLIN501_Graphes/TP/TP4/tp4.cc
new file mode 100644
index 0000000..40fd343
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP4/tp4.cc
@@ -0,0 +1,170 @@
+#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <fstream>
+#include <cmath>
+
+using namespace std;
+
+const int N=1400;
+const int M=(N*(N-1))/2;
+
+typedef struct coord{int abs; int ord;} coord;
+
+void pointRandom(int n,coord point[]);
+float distancexy(coord p1,coord p2);
+void voisins(int n,int dmax,coord point[],vector<int> voisin[],int &m);
+void voisins2arete(int n,vector<int>voisins[],int arete[][2]);
+void affichageGraphique(int n,int m,coord point[],vector<int> voisins[],const char * name);
+bool existe(int n,int dis[],bool traite[]);
+int searchsmallest(int n, int dist[],bool traite[]);
+void dijkstra(int n,vector<int> voisin[],coord point[],int pere[], int m);
+int construireArbre(int n,vector<int> voisin[],int pere[]);
+
+int
+main()
+{
+  int n;                           // Le nombre de points.
+  cout << "Entrer le nombre de points: ";
+  cin >> n;
+  int dmax=50;                     // La distance jusqu'a laquelle on relie deux points.
+  coord point[N];                  // Les coordonnees des points.
+  vector<int> voisin[N];
+  vector<int> voisinbis[N];           // Les listes de voisins.
+  int arbre[N-1][2];               // Les aretes de l'arbre de Dijkstra.
+  int pere[N];                     // La relation de filiation de l'arbre de Dijkstra.
+  int m;                           // Le nombre d'aretes
+  int arete[M][2];                 // Les aretes du graphe
+  pointRandom(n,point);
+  voisins(n,dmax, point, voisin, m);
+  const char * filename = "affichage.ps";
+  affichageGraphique(n,m,point,voisin,filename);
+  cout<<"Graphe de base créé et exporté vers "<<filename<<endl;
+  dijkstra(n,voisin,point,pere,m);
+  construireArbre(n,voisinbis,pere);
+  const char * filename2 = "affichagefin.ps";
+  affichageGraphique(n,m,point,voisinbis,filename2);
+
+  return EXIT_SUCCESS;
+}
+
+void pointRandom(int n, coord point[]){
+    srand(time(NULL));
+    for (int i =0; i < n; i ++){
+      point[i].abs = rand()%612;
+      point[i].ord =rand()%792;
+      cout << "Created point "<<i<<" coords : "<< point[i].abs <<" : "<<point[i].ord<<endl;
+    }
+}
+float distancexy(coord p1,coord p2){
+  return sqrt((pow(p1.abs-p2.abs,2)+pow(p1.ord-p2.ord,2)));
+}
+void voisins (int n, int dmax, coord point[], vector<int> voisins[], int &m){
+  int arrete = 0;
+  for (int i = 0; i < n; i ++){
+    for (int j = i+1; j < n; j ++){
+      if ( sqrt(pow(point[i].abs-point[j].abs,2)+pow(point[i].ord-point[j].ord,2))<=dmax){
+        voisins[i].push_back(j);
+        voisins[j].push_back(i);
+        arrete++;
+      }
+    }
+  }
+  m=arrete;
+}
+
+void affichageGraphique(int n, int m, coord point[], vector<int> voisins[], const char * filename)
+// Cree le fichier Exemple.ps qui affiche
+// les points et l'arbre de Kruskal.
+{
+  ofstream output;
+  output.open(filename,ios::out);
+  output << "%!PS-Adobe-3.0" << endl;
+  output << "%%BoundingBox: 0 0 612 792" << endl;
+  output << endl;
+  for(int i=0;i<n;i++)
+    {
+      output << point[i].abs << " " << point[i].ord << " 3 0 360 arc" <<endl;
+      output << "0 setgray" <<endl;
+      output << "fill" <<endl;
+      output << "stroke"<<endl;
+      output << endl;
+    }
+  output << endl;
+  for(int i=0;i<n;i++)
+   {
+     for (int j =0; j < voisins[i].size(); j ++){
+       if (voisins[i][j] >= i){
+         output << point[i].abs<<" "<<point[i].ord << " moveto"<<endl;
+         output<<point[voisins[i][j]].abs << " " << point[voisins[i][j]].ord << " lineto"<<endl;
+         output<< "stroke"<<endl;
+         output << endl;
+       }
+     }
+   }
+     output<<"showpage";
+     output<<endl;
+}
+bool existe(int n,int dis[],bool traite[]){
+  bool test = true;
+  bool ret = false;
+  int i = 0;
+  while (test && i < n){
+    if (!traite[i] && (dis[i]!=-1)){
+      test = false;
+      ret = true;
+    }
+    i++;
+  }
+  return ret;
+}
+int searchsmallest(int n, int dist[],bool traite[]){
+  int ret=-1;
+  int retdist = 10000;
+  for (int i = 0 ; i < n; i ++){
+    // cout<<"i :"<< i << " Dist de i "<< dist[i]<<" traite de i "<<traite[i]<<endl;
+    if (traite[i]==false){
+      if (dist[i]!= -1){
+        if (dist[i]<=retdist){
+          retdist=dist[i];
+          ret =i;
+        }
+      }
+    }
+  }
+  // cout<<"Lancment du traitement de :" << ret<<endl;
+  return ret;
+}
+void dijkstra(int n, vector<int> voisin[], coord point[], int pere[], int m){
+  int d[n];
+  bool traite[n];
+  for (int i =0; i < n; i ++){
+    d[i]= -1;
+    traite[i]=false;
+  }
+  pere[0]=0;
+  d[0]=0;
+  while (existe(n,d,traite)){
+    int current = searchsmallest(n,d,traite);
+    //cout<<"C'est ti-par avec current = "<< current <<endl;
+    traite[current]=true;
+    // cout<<"traite current : " << traite[current]<<endl;
+    for (int i =0; i < voisin[current].size();i ++){
+      int x = current;
+      int y = voisin[current][i];
+      //cout<<"Traitement de l'arete "<<x<<";"<<y<<endl;
+      //cout << d[y] << "versus " << d[x]<< " + " <<distancexy(point[x],point[y])<<endl;
+      if (!traite[y] && ((d[y]==-1) || (d[y]>(d[x]+distancexy(point[x],point[y]))))){
+        d[y]=d[x]+distancexy(point[x],point[y]);
+        pere[y]=x;
+      }
+    }
+  }
+}
+int construireArbre(int n,vector<int> voisin[],int pere[]){
+  for ( int i = 0; i < n; i ++){
+    voisin[i].push_back(pere[i]);
+    voisin[pere[i]].push_back(i);
+  }
+  return n;
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP5/tp5 b/sem_5/HLIN501_Graphes/TP/TP5/tp5
new file mode 100644
index 0000000..b201576
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP5/tp5
diff --git a/sem_5/HLIN501_Graphes/TP/TP5/tp5.cc b/sem_5/HLIN501_Graphes/TP/TP5/tp5.cc
new file mode 100644
index 0000000..d864773
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP5/tp5.cc
@@ -0,0 +1,243 @@
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+const int N=41;
+const int INF=9999;                      //La valeur infinie.
+char villes[41][20]={"Amiens", "Angouleme", "Avignon", "Bayonne", "Bilbao", "Bordeaux", "Bourges", "Brest", "Brive", "Bruxelles", "Caen", "Cahors", "Clermont-Ferrand", "Dijon", "Geneve", "Grenoble", "Lille", "Limoges", "Luxembourg", "Lyon", "Marseille", "Millau", "Montpellier", "Mulhouse", "Nancy", "Nantes", "Nice", "Orleans", "Paris", "Perpignan", "Poitiers", "Reims", "Rennes", "Rodez", "Rouen", "Saint-Etienne", "Strasbourg", "Toulouse", "Tours", "Troyes", "Valence"};
+
+void floydWarshall(int longueur[][N],int dist[][N],int P[][N]);
+void affichage(int dist[][N],int chemin[][N]);
+void itineraire(int i,int j,int chemin[][N]);
+void itineraireville(int i,int j,int chemin[][N]);
+void fermeturetrans(int longueur[][N], int dist[][N], int P[][N], bool fermeture[][N]);
+void affichagematrice(int n, bool mat[][N]);
+
+int main(){
+
+  int position[41][2]={{282,84},{180,334},{412,443},{140,455},{80,480},{165,389},{304,253},{14,150},{249,365},{380,15},{182,117},{258,412},{322,322},{408,231},{470,287},{464,359},{324,32},{242,332},{470,60},{405,306},{433,480},{339,440},{365,461},{497,208},{453,148},{116,233},{515,460},{277,194},{296,146},{329,505},{208,271},{369,119},{120,175},{330,410},{228,101},{383,339},{508,152},{227,466},{220,230},{363,179},{408,377}};
+
+  int longueur[41][41];
+  for(int i=0;i<41;i++){
+    for(int j=0;j<41;j++){
+      longueur[i][j]=INF;
+    }
+    longueur[i][i]=0;
+   }
+
+
+  longueur[0][34]=120; longueur[0][28]=130;
+  longueur[0][31]=180; longueur[0][16]=140;
+
+  longueur[1][30]=130;  longueur[1][17]=110;
+  longueur[1][8]=170;  longueur[1][5]=120;
+
+  longueur[2][40]=140;  longueur[2][22]=90;
+  longueur[2][20]=90;
+
+  longueur[3][5]=180;  longueur[3][37]=300;
+  longueur[3][4]=70;
+
+  longueur[4][3]=70;
+
+  longueur[5][1]=120; longueur[5][8]=200; longueur[5][11]=230;
+  longueur[5][37]=241; longueur[5][3]=180;
+
+  longueur[6][27]=121; longueur[6][39]=240; longueur[6][13]=250;
+  longueur[6][12]=190; longueur[6][38]=230;
+
+  longueur[7][32]=240;
+
+  longueur[8][11]=101; longueur[8][17]=100; longueur[8][1]=170;
+  longueur[8][5]=200; longueur[8][33]=140;
+
+  longueur[9][16]=110; longueur[9][31]=230; longueur[9][18]=210;
+
+  longueur[10][34]=130; longueur[10][38]=260; longueur[10][32]=180;
+
+  longueur[11][21]=180; longueur[11][8]=101; longueur[11][5]=230;
+  longueur[11][37]=110; longueur[11][33]=105;
+
+  longueur[12][6]=190; longueur[12][19]=210; longueur[12][35]=150;
+  longueur[12][17]=230; longueur[12][33]=270;
+
+  longueur[13][19]=200; longueur[13][23]=221; longueur[13][24]=220;
+  longueur[13][39]=180; longueur[13][6]=250; longueur[13][14]=200;
+
+  longueur[14][15]=145; longueur[14][19]=150; longueur[14][13]=200;
+
+  longueur[15][26]=340; longueur[15][20]=270; longueur[15][40]=90;
+  longueur[15][19]=150; longueur[15][14]=145;
+
+  longueur[16][0]=140; longueur[16][31]=196; longueur[16][9]=110;
+
+  longueur[17][30]=120; longueur[17][1]=110; longueur[17][8]=100;
+  longueur[17][12]=230;
+
+  longueur[18][31]=218; longueur[18][36]=220; longueur[18][9]=210;
+  longueur[18][24]=200;
+
+  longueur[19][40]=150; longueur[19][35]=80; longueur[19][12]=210;
+  longueur[19][13]=200; longueur[19][14]=150; longueur[19][15]=150;
+
+  longueur[20][22]=170; longueur[20][2]=90; longueur[20][26]=200;
+  longueur[20][15]=270;
+
+  longueur[21][37]=190; longueur[21][11]=180; longueur[21][22]=110;
+  longueur[21][33]=60;
+
+  longueur[22][29]=150; longueur[22][37]=240; longueur[22][21]=110;
+  longueur[22][2]=90; longueur[22][20]=170; longueur[22][40]=200;
+
+  longueur[23][13]=221; longueur[23][24]=170; longueur[23][36]=120;
+
+  longueur[24][36]=160; longueur[24][23]=170; longueur[24][13]=220;
+  longueur[24][31]=240; longueur[24][18]=200;
+
+  longueur[25][32]=110; longueur[25][38]=210; longueur[25][30]=220;
+
+  longueur[26][20]=200; longueur[26][15]=340;
+
+  longueur[27][6]=121; longueur[27][39]=200; longueur[27][28]=132;
+  longueur[27][38]=120;
+
+  longueur[28][0]=130; longueur[28][34]=131; longueur[28][27]=132;
+  longueur[28][39]=181; longueur[28][31]=140;
+
+  longueur[29][37]=210; longueur[29][22]=150;
+
+  longueur[30][25]=220; longueur[30][38]=100; longueur[30][17]=120;
+  longueur[30][1]=130;
+
+  longueur[31][24]=240; longueur[31][28]=140; longueur[31][39]=130;
+  longueur[31][0]=180; longueur[31][16]=196; longueur[31][9]=230;
+  longueur[31][18]=218;
+
+  longueur[32][10]=180; longueur[32][38]=250; longueur[32][7]=240;
+  longueur[32][25]=110;
+
+  longueur[33][35]=200; longueur[33][40]=225; longueur[33][21]=60;
+  longueur[33][8]=140; longueur[33][11]=105; longueur[33][12]=270;
+
+  longueur[34][0]=120; longueur[34][28]=131; longueur[34][10]=130;
+
+  longueur[35][12]=150; longueur[35][19]=80; longueur[35][40]=120;
+  longueur[35][33]=200;
+
+  longueur[36][23]=120; longueur[36][24]=160; longueur[36][18]=220;
+
+  longueur[37][3]=300; longueur[37][5]=241; longueur[37][11]=110;
+  longueur[37][21]=190; longueur[37][22]=240; longueur[37][29]=210;
+
+  longueur[38][10]=260; longueur[38][32]=250; longueur[38][25]=210;
+  longueur[38][30]=100; longueur[38][27]=120; longueur[38][6]=230;
+
+  longueur[39][31]=130; longueur[39][28]=181; longueur[39][27]=200;
+  longueur[39][6]=240; longueur[39][13]=180;
+
+  longueur[40][2]=140; longueur[40][15]=90; longueur[40][35]=120;
+  longueur[40][19]=150; longueur[40][33]=225; longueur[40][22]=200;
+
+
+
+  // int longueur[N][N]={{0,2,INF,4,INF},   //Les longueurs des arcs.
+	// 	      {INF,0,2,INF,INF}, //longueur[i][j]=INF si l'arc ij n'existe pas
+	// 	      {INF,INF,0,2,INF},
+	// 	      {INF,-3,INF,0,2},
+	// 	      {2,INF,INF,INF,0}};
+  int dist[N][N];                        //Le tableau des distances.
+  int chemin[N][N];                      //Le tableau de la premiere etape du chemin de i a j.
+  floydWarshall(longueur,dist,chemin);
+  affichage(dist,chemin);
+  itineraireville(0,5,chemin);
+  return 0;
+}
+
+void floydWarshall (int longueur[][N],int dist[][N], int P[][N]){
+  for (int i =0; i < N; i ++){
+    dist[i][i]=0;
+    P[i][i]=i;
+    for (int j = 0 ; j < N; j ++){
+      if (longueur[i][j]!=INF){
+        dist[i][j]=longueur[i][j];
+        P[i][j]=j;
+      }
+      else {
+        dist[i][j]=INF;
+        P[i][j]=-1;
+      }
+    }
+  }
+    for (int k = 0; k < N; k++){
+      for(int i =0; i < N; i ++ ){
+        for (int j = 0 ; j < N; j ++){
+          if (dist[i][j]>dist[i][k]+dist[k][j]){
+            dist[i][j]=dist[i][k]+dist[k][j];
+            P[i][j]=P[i][k];
+          }
+        }
+      }
+    }
+    for (int i =0; i < N; i ++){
+      if (dist[i][i]<0){
+        std::cout<<"Il existe un cycle orienté de poids <0"<<endl;
+      }
+    }
+  }
+
+
+void affichage(int dist[][N],int chemin[][N]){
+  for (int i = 0 ; i < N; i ++){
+    for (int j = 0; j < N; j ++){
+      cout<<dist[i][j]<<",";
+    }
+    cout<<endl;
+  }
+  cout<<endl;
+  cout<<endl;
+  for (int i =0; i < N; i ++){
+    for (int j = 0; j < N; j ++){
+      cout << "chemin de " << i << " à " <<j<< " : "<< chemin[i][j]<<endl;
+    }
+  }
+}
+void itineraire(int i,int j,int chemin[][N]){
+  int retchemin[N];
+  int working = i;
+  for (int k = 0 ; k < N; k ++){
+    retchemin[k]=-1;
+  }
+  retchemin[0]=i;
+  int cpt = 1;
+  while (working != j){
+    retchemin[cpt]=chemin[working][j];
+    working = retchemin[cpt];
+    cpt ++;
+  }
+  for (int k = 0 ; k < N; k ++){
+    if (retchemin[k]!=-1){
+      cout<<retchemin[k]<<" ";
+    }
+  }
+}
+void itineraireville(int i,int j,int chemin[][N]){
+  int retchemin[N];
+  int working = i;
+  for (int k = 0 ; k < N; k ++){
+    retchemin[k]=-1;
+  }
+  retchemin[0]=i;
+  int cpt = 1;
+  while (working != j){
+    retchemin[cpt]=chemin[working][j];
+    working = retchemin[cpt];
+    cpt ++;
+  }
+  for (int k = 0 ; k < N; k ++){
+    if (retchemin[k]!=-1){
+      cout<<villes[retchemin[k]]<<" ";
+    }
+  }
+  cout<<endl;
+}
diff --git a/sem_5/HLIN501_Graphes/TP/TP5/tp50 b/sem_5/HLIN501_Graphes/TP/TP5/tp50
new file mode 100644
index 0000000..81974d3
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP5/tp50
diff --git a/sem_5/HLIN501_Graphes/TP/TP5/tp50.cc b/sem_5/HLIN501_Graphes/TP/TP5/tp50.cc
new file mode 100644
index 0000000..a4566d0
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP5/tp50.cc
@@ -0,0 +1,74 @@
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+const int N=6;
+const int INF=9999;                      //La valeur infinie.
+
+void floydWarshall(int longueur[][N],int dist[][N],int P[][N]);
+void affichage(int dist[][N],int chemin[][N]);
+void itineraire(int i,int j,int chemin[][N]);
+void itineraireville(int i,int j,int chemin[][N]);
+void fermeturetrans(int longueur[][N], int dist[][N], int P[][N], bool fermeture[][N]);
+void affichagematrice(int n, bool mat[][N]);
+
+int main(){
+   int longueur[N][N]={{INF,INF,INF,2,INF,2},   //Les longueurs des arcs.
+	 	      {2,INF,2,2,INF,INF}, //longueur[i][j]=INF si l'arc ij n'existe pas
+	 	      {INF,INF,INF,2,INF,INF},
+	 	      {INF,INF,INF,INF,2,2},
+	 	      {INF,INF,2,INF,INF,2},
+          {INF,INF,2,INF,INF,INF}};
+  int dist[N][N];                        //Le tableau des distances.
+  int chemin[N][N];                      //Le tableau de la premiere etape du chemin de i a j.
+  bool ferm[N][N];
+  fermeturetrans(longueur,dist,chemin,ferm);
+  affichagematrice(N,ferm);
+  return 0;
+}
+
+void affichagematrice(int n, bool mat[][N]){
+  for (int i = 0; i < n; i ++) {
+    cout<<"[ ";
+    for (int j = 0 ; j < n; j ++){
+      cout<<mat[i][j]<<" , ";
+    }
+    cout << " ]"<<endl;
+  }
+}
+
+void fermeturetrans(int longueur[][N], int dist[][N], int P[][N], bool fermeture[][N]){
+  for (int i =0; i < N; i ++){
+    dist[i][i]=0;
+    P[i][i]=i;
+    for (int j = 0 ; j < N; j ++){
+      if (longueur[i][j]!=INF){
+        dist[i][j]=longueur[i][j];
+        P[i][j]=j;
+        fermeture[i][j]=true;
+      }
+      else {
+        dist[i][j]=INF;
+        P[i][j]=-1;
+        fermeture[i][j]=false;
+      }
+    }
+  }
+    for (int k = 0; k < N; k++){
+      for(int i =0; i < N; i ++ ){
+        for (int j = 0 ; j < N; j ++){
+          if (dist[i][j]>dist[i][k]+dist[k][j]){
+            dist[i][j]=dist[i][k]+dist[k][j];
+            P[i][j]=P[i][k];
+            fermeture[i][j]=true;
+          }
+        }
+      }
+    }
+    for (int i =0; i < N; i ++){
+      if (dist[i][i]<0){
+        std::cout<<"Il existe un cycle orienté de poids <0"<<endl;
+      }
+    }
+  }
diff --git a/sem_5/HLIN501_Graphes/TP/TP5/villes.cc b/sem_5/HLIN501_Graphes/TP/TP5/villes.cc
new file mode 100644
index 0000000..1e499c9
--- /dev/null
+++ b/sem_5/HLIN501_Graphes/TP/TP5/villes.cc
@@ -0,0 +1,126 @@
+char villes[41][20]={"Amiens", "Angouleme", "Avignon", "Bayonne", "Bilbao", "Bordeaux", "Bourges", "Brest", "Brive", "Bruxelles", "Caen", "Cahors", "Clermont-Ferrand", "Dijon", "Geneve", "Grenoble", "Lille", "Limoges", "Luxembourg", "Lyon", "Marseille", "Millau", "Montpellier", "Mulhouse", "Nancy", "Nantes", "Nice", "Orleans", "Paris", "Perpignan", "Poitiers", "Reims", "Rennes", "Rodez", "Rouen", "Saint-Etienne", "Strasbourg", "Toulouse", "Tours", "Troyes", "Valence"};
+
+int position[41][2]={{282,84},{180,334},{412,443},{140,455},{80,480},{165,389},{304,253},{14,150},{249,365},{380,15},{182,117},{258,412},{322,322},{408,231},{470,287},{464,359},{324,32},{242,332},{470,60},{405,306},{433,480},{339,440},{365,461},{497,208},{453,148},{116,233},{515,460},{277,194},{296,146},{329,505},{208,271},{369,119},{120,175},{330,410},{228,101},{383,339},{508,152},{227,466},{220,230},{363,179},{408,377}};
+
+int longueur[41][41];
+for(int i=0;i<41;i++){
+  for(int j=0;j<41;j++){
+    longueur[i][j]=inf;
+  }
+  longueur[i][i]=0;
+ }
+
+
+longueur[0][34]=120; longueur[0][28]=130;
+longueur[0][31]=180; longueur[0][16]=140;
+
+longueur[1][30]=130;  longueur[1][17]=110;
+longueur[1][8]=170;  longueur[1][5]=120;
+
+longueur[2][40]=140;  longueur[2][22]=90;
+longueur[2][20]=90;
+
+longueur[3][5]=180;  longueur[3][37]=300;
+longueur[3][4]=70;
+
+longueur[4][3]=70;
+
+longueur[5][1]=120; longueur[5][8]=200; longueur[5][11]=230; 
+longueur[5][37]=241; longueur[5][3]=180;
+
+longueur[6][27]=121; longueur[6][39]=240; longueur[6][13]=250; 
+longueur[6][12]=190; longueur[6][38]=230;
+
+longueur[7][32]=240;
+
+longueur[8][11]=101; longueur[8][17]=100; longueur[8][1]=170; 
+longueur[8][5]=200; longueur[8][33]=140;
+
+longueur[9][16]=110; longueur[9][31]=230; longueur[9][18]=210;
+
+longueur[10][34]=130; longueur[10][38]=260; longueur[10][32]=180;
+
+longueur[11][21]=180; longueur[11][8]=101; longueur[11][5]=230; 
+longueur[11][37]=110; longueur[11][33]=105;
+
+longueur[12][6]=190; longueur[12][19]=210; longueur[12][35]=150; 
+longueur[12][17]=230; longueur[12][33]=270;
+
+longueur[13][19]=200; longueur[13][23]=221; longueur[13][24]=220; 
+longueur[13][39]=180; longueur[13][6]=250; longueur[13][14]=200;
+
+longueur[14][15]=145; longueur[14][19]=150; longueur[14][13]=200;
+
+longueur[15][26]=340; longueur[15][20]=270; longueur[15][40]=90; 
+longueur[15][19]=150; longueur[15][14]=145;
+
+longueur[16][0]=140; longueur[16][31]=196; longueur[16][9]=110;
+
+longueur[17][30]=120; longueur[17][1]=110; longueur[17][8]=100; 
+longueur[17][12]=230;
+
+longueur[18][31]=218; longueur[18][36]=220; longueur[18][9]=210; 
+longueur[18][24]=200;
+
+longueur[19][40]=150; longueur[19][35]=80; longueur[19][12]=210; 
+longueur[19][13]=200; longueur[19][14]=150; longueur[19][15]=150;
+
+longueur[20][22]=170; longueur[20][2]=90; longueur[20][26]=200; 
+longueur[20][15]=270;
+
+longueur[21][37]=190; longueur[21][11]=180; longueur[21][22]=110; 
+longueur[21][33]=60;
+
+longueur[22][29]=150; longueur[22][37]=240; longueur[22][21]=110; 
+longueur[22][2]=90; longueur[22][20]=170; longueur[22][40]=200;
+
+longueur[23][13]=221; longueur[23][24]=170; longueur[23][36]=120;
+
+longueur[24][36]=160; longueur[24][23]=170; longueur[24][13]=220; 
+longueur[24][31]=240; longueur[24][18]=200;
+
+longueur[25][32]=110; longueur[25][38]=210; longueur[25][30]=220;
+
+longueur[26][20]=200; longueur[26][15]=340;
+
+longueur[27][6]=121; longueur[27][39]=200; longueur[27][28]=132; 
+longueur[27][38]=120;
+
+longueur[28][0]=130; longueur[28][34]=131; longueur[28][27]=132; 
+longueur[28][39]=181; longueur[28][31]=140;
+
+longueur[29][37]=210; longueur[29][22]=150;
+
+longueur[30][25]=220; longueur[30][38]=100; longueur[30][17]=120; 
+longueur[30][1]=130;
+
+longueur[31][24]=240; longueur[31][28]=140; longueur[31][39]=130; 
+longueur[31][0]=180; longueur[31][16]=196; longueur[31][9]=230; 
+longueur[31][18]=218;
+
+longueur[32][10]=180; longueur[32][38]=250; longueur[32][7]=240; 
+longueur[32][25]=110;
+
+longueur[33][35]=200; longueur[33][40]=225; longueur[33][21]=60; 
+longueur[33][8]=140; longueur[33][11]=105; longueur[33][12]=270;
+
+longueur[34][0]=120; longueur[34][28]=131; longueur[34][10]=130;
+
+longueur[35][12]=150; longueur[35][19]=80; longueur[35][40]=120; 
+longueur[35][33]=200;
+
+longueur[36][23]=120; longueur[36][24]=160; longueur[36][18]=220;
+
+longueur[37][3]=300; longueur[37][5]=241; longueur[37][11]=110; 
+longueur[37][21]=190; longueur[37][22]=240; longueur[37][29]=210;
+
+longueur[38][10]=260; longueur[38][32]=250; longueur[38][25]=210; 
+longueur[38][30]=100; longueur[38][27]=120; longueur[38][6]=230;
+
+longueur[39][31]=130; longueur[39][28]=181; longueur[39][27]=200; 
+longueur[39][6]=240; longueur[39][13]=180;
+
+longueur[40][2]=140; longueur[40][15]=90; longueur[40][35]=120; 
+longueur[40][19]=150; longueur[40][33]=225; longueur[40][22]=200;
+
+