{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"hierarchique.ipynb","version":"0.3.2","provenance":[],"collapsed_sections":[],"toc_visible":true},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"metadata":{"id":"_OsqsO0NPdAv","colab_type":"text"},"cell_type":"markdown","source":["#Clustering - Regroupement hiérarchique\n","\n","##Introduction\n","\n","L'algorithme de *regroupement hiérarchique* est un algorithme de clustering **supervisé**.</br>\n","On initialise l'algorithme en créant un cluster pour chaque point.</br>\n","Puis on regroupe les deux clusters les plus proches jusqu'a atteindre le nombre de clusters souhaités. On utilise pour cela la distance minimale, moyenne ou maximale entre les clusters.</br>\n","\n","##Création des données\n","Pour commencer, nous allons créer les données que nous utiliserons pour la suite dans l'algorithme. L'idée est de créer des données d'initialisation et des données de test (pour évaluer l'efficacité de l'algorithme).</br>\n","L'explication de la création de ces données est réalisée dans le jupyter de l'algorithme *k-means*, ainsi nous ne nous étendrons pas sur la création de ces dernières."]},{"metadata":{"id":"01BdJscsNuCe","colab_type":"code","colab":{}},"cell_type":"code","source":["# Importation des librairies\n","import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Les paramètres importants\n","nbr_clusters=3\n","nbr_initialisation=30\n","nbr_evalutation=1000\n","\n","# Les listes\n","init_points=[]\n","init_labels=[]\n","eval_points=[]\n","eval_labels=[]\n","\n","donnees_initialisation=[[] for i in range(nbr_clusters)]\n","\n","barycentres=[]\n","for i in range(nbr_clusters):\n","  barycentres.append(2*np.random.random_sample((2,))-1)\n","\n","#barycentres=[np.array([0.8,0.8]),np.array([0.8,-0.8]),np.array([-0.8,-0.8]),np.array([-0.8,0.8])] \n","\n","# Création des données d'initialisation\n","for i in range(nbr_initialisation):\n","  indice=np.random.randint(0,nbr_clusters)\n","  point=barycentres[indice]+np.random.normal(scale=0.2,size=2) # Répartition normale autour d'un barycentre\n","  init_points.append(point)\n","  init_labels.append(indice)\n","  donnees_initialisation[indice].append(point)\n"," \n","# Création des données de test\n","for i in range(nbr_evalutation):\n","  indice=np.random.randint(0,nbr_clusters)\n","  point=barycentres[indice]+np.random.normal(scale=0.2,size=2) # Répartition normale autour d'un barycentre\n","  eval_points.append(point)\n","  eval_labels.append(indice)"],"execution_count":0,"outputs":[]},{"metadata":{"id":"3LU7Q6UsSvNl","colab_type":"text"},"cell_type":"markdown","source":["Maintenant que nous avons créé les données, je vous propose de les visualiser"]},{"metadata":{"id":"2a6zbFTDSvm3","colab_type":"code","outputId":"ed5bc395-0c46-43d0-fb49-54b1391d097a","executionInfo":{"status":"ok","timestamp":1557386457055,"user_tz":-120,"elapsed":1934,"user":{"displayName":"Lucas Millot","photoUrl":"","userId":"16896163850751379404"}},"colab":{"base_uri":"https://localhost:8080/","height":269}},"cell_type":"code","source":["lim=1.5\n","plt.xlim([-lim,lim])\n","plt.ylim([-lim,lim])\n","\n","# Définition des couleurs des clusters et des barycentres\n","couleurs=['r','g','b','y']\n","couleurs_barycentres=['#990000','#009900','#000099','#009999']\n","\n","for i in range(nbr_initialisation):\n","  point=init_points[i]\n","  label=init_labels[i]\n","  plt.plot(point[0],point[1],color=couleurs[label],marker=\"+\") # On affiche chaque point avec la couleur de son cluster\n","  \n","plt.show()"],"execution_count":17,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYQAAAD8CAYAAAB3u9PLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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size 432x288 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"metadata":{"id":"Je2eBgjXTQ8P","colab_type":"text"},"cell_type":"markdown","source":["## Création de l'algorithme\n","\n","### La distance entre clusters\n","Laissons cette base de donnée de coté et repartons avec quelque chose de plus simple. prenons dix points en une dimension, tirés aléatoirement entre 0 et 1000. \n","\n","[653, 801, 887, 347, 638, 449, 999, 377, 703, 225]\n","\n","Nous attribuons un cluster a chaque point.</br>\n","Ici la distance entre deux éléments a et b c'est simplement |b-a|.</br>\n","La distance entre deux clusters est définie comme le *minimum* / la *moyenne* / le *maximum* entre les points des deux clusters pris deux a deux. </br>\n","On trouve les deux clusters les plus proches (distance la plus faible) et le tour est joué, il ne reste qu'a les fusionner."]},{"metadata":{"id":"zgtiHUAhWhci","colab_type":"code","outputId":"a1c81913-ab77-4640-ca74-e865d58c006a","executionInfo":{"status":"ok","timestamp":1557386457057,"user_tz":-120,"elapsed":1774,"user":{"displayName":"Lucas Millot","photoUrl":"","userId":"16896163850751379404"}},"colab":{"base_uri":"https://localhost:8080/","height":70}},"cell_type":"code","source":["def distance_element(e1, e2):\n","    \"\"\"\n","    Fonction distance entre les éléments, qui retourne |b-a| dans cet exemple\n","    \"\"\"\n","    if isinstance(e1, int):\n","      return abs(e1-e2)\n","    else:\n","      return np.linalg.norm(e1-e2)\n","\n","def distance_cluster_fig(c1, c2, parametre_distance_cluster):\n","    \"\"\"\n","    Fonction de distance entre des clusters\n","    \"\"\"\n","    #distance minimale\n","    if parametre_distance_cluster == 'min':\n","        min_distance_cluster = distance_element(c1[0], c2[0])\n","        for element_c1 in c1:\n","            for element_c2 in c2:\n","                if distance_element(element_c1, element_c2) < min_distance_cluster:\n","                    min_distance_cluster = distance_element(element_c1, element_c2)\n","        return min_distance_cluster\n","      \n","    #distance maximale\n","    elif parametre_distance_cluster == 'max':\n","        max_distance_cluster = distance_element(c1[0], c2[0])\n","        for element_c1 in c1:\n","            for element_c2 in c2:\n","                if distance_element(element_c1, element_c2) > max_distance_cluster:\n","                    max_distance_cluster = distance_element(element_c1, element_c2)\n","        return max_distance_cluster\n","      \n","    #distance moyenne\n","    elif parametre_distance_cluster== 'mean':\n","        dist=0\n","        for element_c1 in c1:\n","            for element_c2 in c2:\n","                dist += distance_element(element_c1, element_c2)\n","        return dist/(len(c1)*len(c2))\n","\n","# On crée les clusters de test\n","c1=[1,2,5]\n","c2=[4,6,9]\n","print(\"La distance minimale entre ces deux clusters est {} (distance entre 4 et 5)\".format(distance_cluster_fig(c1,c2,\"min\")))\n","print(\"La distance maximale entre ces deux clusters est {} (distance entre 1 et 9)\".format(distance_cluster_fig(c1,c2,\"max\")))\n","print(\"La distance moyenne entre ces deux clusters est {}\".format(distance_cluster_fig(c1,c2,\"mean\")))"],"execution_count":18,"outputs":[{"output_type":"stream","text":["La distance minimale entre ces deux clusters est 1 (distance entre 4 et 5)\n","La distance maximale entre ces deux clusters est 8 (distance entre 1 et 9)\n","La distance moyenne entre ces deux clusters est 3.888888888888889\n"],"name":"stdout"}]},{"metadata":{"id":"1XJcsZClX-vC","colab_type":"text"},"cell_type":"markdown","source":["### Fusion des clusters\n","Maintenant que l'on connait les distances inter-cluster il suffit de trouver le minimum de ces distances. Nous travaillons avec une liste où ligne[k] est le numéro du cluster du point k.</br>\n","La fonction **fusion** passe d'une ligne à la suivante en réduisant de 1 le nombre de clusters.</br>\n","Pour cela on crée un *dictionnaire de clusters*.</br>\n","En testant pour tous les clusters, on trouve ainsi les clusters à fusionner (la distance est la plus petite).</br>\n","On les *fusionne* puis on crée la liste suivant des clusters des points. Il y aura donc une valeur de moins dans cette liste, car il y aura un cluster de moins."]},{"metadata":{"id":"Pz-n-C6uX_X8","colab_type":"code","outputId":"623d1231-82e0-44a7-85c9-880c0d0a7ec5","executionInfo":{"status":"ok","timestamp":1557386457058,"user_tz":-120,"elapsed":1591,"user":{"displayName":"Lucas Millot","photoUrl":"","userId":"16896163850751379404"}},"colab":{"base_uri":"https://localhost:8080/","height":105}},"cell_type":"code","source":["import random as rd\n","\n","liste_aleat=[rd.randint(0,100) for i in range (6)]\n","def fusion(ligne, i, liste_alea):\n","    c = {}\n","    for element in range(len(ligne)):\n","        if ligne[element] in c.keys():\n","            c[int(ligne[element])] = c[int(ligne[element])] + [liste_alea[element]]\n","        else:\n","            c[int(ligne[element])] = [liste_alea[element]]\n","\n","    \n","    min = distance_cluster_fig(c[0], c[1], \"mean\")\n","    indices_min = (0, 1)\n","    for j in range(i-1):\n","        for l in range(j + 1, i):\n","            if distance_cluster_fig(c[j], c[l], \"mean\") <= min:\n","                min = distance_cluster_fig(c[j], c[l], \"mean\")\n","                indices_min = (j, l)\n","    j,l = indices_min\n","    print(\"\")\n","    print (\"il faut fusionner \"+str(c[j])+\" et \"+str(c[l]))\n","    print (\"cela correspond à \"+ str(j)+ \" et \" + str(l))\n","    #on a assuré j<l \n","    \n","    for element_ligne in range(len(ligne)):\n","        if ligne[element_ligne]==l: ligne[element_ligne]=j\n","        elif ligne[element_ligne]==i: ligne[element_ligne]=l\n","    print (\"voici la ligne à l'étape suivante :\")\n","    return ligne\n","  \n","fusion([0,1,2,3,4,5],5,liste_aleat)"],"execution_count":19,"outputs":[{"output_type":"stream","text":["\n","il faut fusionner [47] et [49]\n","cela correspond à 2 et 3\n","voici la ligne à l'étape suivante :\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["[0, 1, 2, 2, 4, 3]"]},"metadata":{"tags":[]},"execution_count":19}]},{"metadata":{"id":"jpoc_51llU81","colab_type":"text"},"cell_type":"markdown","source":["Voyons comment tout ceci s'articule à l'aide d'un exemple."]},{"metadata":{"id":"yJ25prKXlbZU","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":824},"outputId":"bf69f1f4-3137-44c8-cf72-b9d0c5323445","executionInfo":{"status":"ok","timestamp":1557386457263,"user_tz":-120,"elapsed":1586,"user":{"displayName":"Lucas Millot","photoUrl":"","userId":"16896163850751379404"}}},"cell_type":"code","source":["liste_donnee=[653,638,703,801,887,999,347,377,449,225]\n","ligne_suiv=[i for i in range(10)]\n","# on répete la fusion 9 fois jusqu'à avoir tous les éléments dans le meme cluster\n","for i in range(9):\n","  ligne_suiv=fusion(ligne_suiv,9-i,liste_donnee)\n","  print (ligne_suiv)\n","\n","\n","print (\"voici à quoi cela ressemble\")"],"execution_count":20,"outputs":[{"output_type":"stream","text":["\n","il faut fusionner [653] et [638]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 2, 3, 4, 5, 6, 7, 8, 1]\n","\n","il faut fusionner [347] et [377]\n","cela correspond à 6 et 7\n","voici la ligne à l'étape suivante :\n","[0, 0, 2, 3, 4, 5, 6, 6, 7, 1]\n","\n","il faut fusionner [653, 638] et [703]\n","cela correspond à 0 et 2\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 3, 4, 5, 6, 6, 2, 1]\n","\n","il faut fusionner [801] et [887]\n","cela correspond à 3 et 4\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 3, 3, 5, 4, 4, 2, 1]\n","\n","il faut fusionner [449] et [347, 377]\n","cela correspond à 2 et 4\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 3, 3, 4, 2, 2, 2, 1]\n","\n","il faut fusionner [225] et [347, 377, 449]\n","cela correspond à 1 et 2\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 3, 3, 2, 1, 1, 1, 1]\n","\n","il faut fusionner [653, 638, 703] et [347, 377, 449, 225]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 1, 1, 2, 0, 0, 0, 0]\n","\n","il faut fusionner [653, 638, 703, 347, 377, 449, 225] et [801, 887]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 0, 0, 1, 0, 0, 0, 0]\n","\n","il faut fusionner [653, 638, 703, 801, 887, 347, 377, 449, 225] et [999]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n","voici à quoi cela ressemble\n"],"name":"stdout"}]},{"metadata":{"id":"hIUEy3f9ppug","colab_type":"text"},"cell_type":"markdown","source":["![Texte alternatif…](https://imagizer.imageshack.com/img924/9065/4wJHnE.jpg)"]},{"metadata":{"id":"01XRtuRiqntq","colab_type":"text"},"cell_type":"markdown","source":["# Fusion de nos données initiales\n","\n","utilisons maintenant les données créées précédemment.\n","\n"]},{"metadata":{"id":"UFFd85nltAz8","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":3088},"outputId":"dc3afdff-3c54-4e4f-cab5-45de4840bfa0","executionInfo":{"status":"ok","timestamp":1557386458444,"user_tz":-120,"elapsed":2599,"user":{"displayName":"Lucas Millot","photoUrl":"","userId":"16896163850751379404"}}},"cell_type":"code","source":["def ligne_to_tab(ligne,nb_clus):\n","  tab=[[] for k in range (nb_clus)]\n","  for elem in range (len(ligne)):\n","    tab[ligne[elem]]= tab[ligne[elem]] + [init_points[elem]]\n","  return tab\n","\n","ligne_suiv=[i for i in range(30)]\n","tableau_lignes=[]\n","for i in range(29):\n","  ligne_suiv=fusion(ligne_suiv,29-i,init_points)\n","  tableau_lignes.append(ligne_to_tab(ligne_suiv,29-i))\n","  print (ligne_suiv)\n","  print (tableau_lignes)\n","  \n","\n","    \n","  "],"execution_count":21,"outputs":[{"output_type":"stream","text":["\n","il faut fusionner [array([-0.39351116, -0.82636403])] et [array([-0.42522798, -0.8001287 ])]\n","cela correspond à 11 et 22\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 11, 23, 24, 25, 26, 27, 28, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]]]\n","\n","il faut fusionner [array([-0.47547604, -0.99329668])] et [array([-0.52415912, -0.94928075])]\n","cela correspond à 6 et 25\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 11, 23, 24, 6, 26, 27, 25, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]]]\n","\n","il faut fusionner [array([0.56069478, 0.52060296])] et [array([0.57392533, 0.59805767])]\n","cela correspond à 21 et 26\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 11, 23, 24, 6, 21, 26, 25, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]]]\n","\n","il faut fusionner [array([0.55719971, 0.70488827])] et [array([0.63919041, 0.68799314])]\n","cela correspond à 10 et 17\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 18, 19, 20, 21, 11, 23, 24, 6, 21, 17, 25, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]]]\n","\n","il faut fusionner [array([-0.41155356, -0.53766466])] et [array([-0.37221164, -0.59945186])]\n","cela correspond à 8 et 17\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 18, 19, 20, 21, 11, 23, 24, 6, 21, 8, 17, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864])] et [array([0.95517528, 0.54779286])]\n","cela correspond à 0 et 20\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 18, 19, 0, 21, 11, 23, 20, 6, 21, 8, 17, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]]]\n","\n","il faut fusionner [array([0.53682653, 0.42042521])] et [array([0.44434661, 0.44467336])]\n","cela correspond à 7 et 20\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 18, 19, 0, 21, 11, 20, 7, 6, 21, 8, 17, 22]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])] et [array([0.88494701, 0.62883661])]\n","cela correspond à 0 et 18\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 0, 19, 0, 21, 11, 20, 7, 6, 21, 8, 17, 18]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]]]\n","\n","il faut fusionner [array([-0.64024247, -0.97203314])] et [array([-0.60518436, -0.83543295])]\n","cela correspond à 3 et 19\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 0, 3, 0, 19, 11, 20, 7, 6, 19, 8, 17, 18]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.65176163, 0.45430396])]]]\n","\n","il faut fusionner [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])] et [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]\n","cela correspond à 10 et 19\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 0, 3, 0, 10, 11, 19, 7, 6, 10, 8, 17, 18]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]]]\n","\n","il faut fusionner [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])] et [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])]\n","cela correspond à 3 et 6\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 0, 3, 0, 10, 11, 6, 7, 3, 10, 8, 17, 18]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], 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0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.65176163, 0.45430396])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])]]]\n","\n","il faut fusionner [array([0.65176163, 0.45430396])] et [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])]\n","cela correspond à 6 et 7\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 10, 0, 3, 0, 10, 11, 6, 6, 3, 10, 8, 17, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], 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array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, 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0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.65176163, 0.45430396])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])]]]\n","\n","il faut fusionner [array([-0.31005506, -1.22654081])] et [array([-0.46575643, -1.17227646])]\n","cela correspond à 12 et 15\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 8, 9, 10, 11, 12, 13, 14, 12, 16, 10, 0, 3, 0, 10, 11, 6, 6, 3, 10, 8, 15, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), 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0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.65176163, 0.45430396])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, 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0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.68695614, -0.33609031])], [array([0.62116925, 0.17920966])]]]\n","\n","il faut fusionner [array([-0.50501599, -0.40570723])] et [array([-0.68695614, -0.33609031])]\n","cela correspond à 1 et 15\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 8, 9, 10, 11, 12, 13, 14, 12, 15, 10, 0, 3, 0, 10, 11, 6, 6, 3, 10, 8, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], 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[array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]]]\n","\n","il faut fusionner [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])] et [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])]\n","cela correspond à 3 et 11\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 8, 9, 10, 3, 12, 13, 14, 12, 11, 10, 0, 3, 0, 10, 3, 6, 6, 3, 10, 8, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], 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array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])] et [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]\n","cela correspond à 6 et 10\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 8, 9, 6, 3, 12, 13, 10, 12, 11, 6, 0, 3, 0, 6, 3, 6, 6, 3, 6, 8, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], 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[array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])]]]\n","\n","il faut fusionner [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])] et [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])]\n","cela correspond à 1 et 8\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 1, 9, 6, 3, 12, 8, 10, 12, 11, 6, 0, 3, 0, 6, 3, 6, 6, 3, 6, 1, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], 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[array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.68695614, -0.33609031])], [array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.78516035, -0.15991278])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])]]]\n","\n","il faut fusionner [array([-0.99050119, -0.06288726])] et [array([-0.78516035, -0.15991278])]\n","cela correspond à 2 et 8\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 1, 9, 6, 3, 8, 2, 10, 8, 11, 6, 0, 3, 0, 6, 3, 6, 6, 3, 6, 1, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, 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[array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]]]\n","\n","il faut fusionner [array([-0.77727968, -0.67207945])] et [array([-1.08768046, -0.65067466])]\n","cela correspond à 4 et 9\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 1, 4, 6, 3, 8, 2, 10, 8, 9, 6, 0, 3, 0, 6, 3, 6, 6, 3, 6, 1, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], 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array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-0.78516035, -0.15991278])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.78516035, -0.15991278])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([-0.14503662, -0.98769731])] et [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])]\n","cela correspond à 7 et 8\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 6, 1, 4, 6, 3, 7, 2, 8, 7, 9, 6, 0, 3, 0, 6, 3, 6, 6, 3, 6, 1, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], 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array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])] et [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])]\n","cela correspond à 0 et 6\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 0, 1, 4, 0, 3, 7, 2, 8, 7, 6, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 7]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], 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array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])] et [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])]\n","cela correspond à 3 et 7\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 0, 1, 4, 0, 3, 3, 2, 7, 3, 6, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 3]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], 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[array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])], [array([0.62116925, 0.17920966])]], [[array([0.86966612, 0.54313864]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([0.62116925, 0.17920966])], [array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([0.62116925, 0.17920966])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])] et [array([0.62116925, 0.17920966])]\n","cela correspond à 0 et 6\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 5, 3, 0, 1, 4, 0, 3, 3, 2, 6, 3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 3]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 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[array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 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array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([0.78915564, 0.91959001])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])] et [array([0.78915564, 0.91959001])]\n","cela correspond à 0 et 5\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 4, 0, 3, 0, 1, 4, 0, 3, 3, 2, 5, 3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 3]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 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-0.65067466])], [array([0.78915564, 0.91959001])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])] et [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])]\n","cela correspond à 1 et 4\n","voici la ligne à l'étape suivante :\n","[0, 1, 2, 3, 1, 0, 3, 0, 1, 1, 0, 3, 3, 2, 4, 3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 3]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, 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array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 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array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])]]]\n","\n","il faut fusionner [array([-0.50501599, -0.40570723]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])] et [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])]\n","cela correspond à 1 et 2\n","voici la ligne à l'étape suivante :\n","[0, 1, 1, 3, 1, 0, 3, 0, 1, 1, 0, 3, 3, 1, 2, 3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 1, 1, 3]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], 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-0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.04161693, -0.64680612])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])]]]\n","\n","il faut fusionner [array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])] et [array([-0.04161693, -0.64680612])]\n","cela correspond à 1 et 2\n","voici la ligne à l'étape suivante :\n","[0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, 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0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.77727968, -0.67207945]), array([-1.08768046, -0.65067466])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.99050119, -0.06288726]), array([-0.78516035, -0.15991278])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])], [array([-0.04161693, -0.64680612])]], [[array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.04161693, -0.64680612])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.04161693, -0.64680612]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])]]]\n","\n","il faut fusionner [array([0.86966612, 0.54313864]), array([0.78915564, 0.91959001]), array([0.53682653, 0.42042521]), array([0.55719971, 0.70488827]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])] et [array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.04161693, -0.64680612]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.37221164, -0.59945186])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.60518436, -0.83543295])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.65176163, 0.45430396])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.53682653, 0.42042521]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336])], [array([-0.14503662, -0.98769731])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], 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0.42042521]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([0.55719971, 0.70488827]), array([-0.78516035, -0.15991278]), array([-0.04161693, -0.64680612]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])] et [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])]\n","cela correspond à 0 et 1\n","voici la ligne à l'étape suivante :\n","[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n","[[[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.52415912, -0.94928075])], [array([0.57392533, 0.59805767])], [array([-0.37221164, -0.59945186])], [array([-0.68695614, -0.33609031])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([0.63919041, 0.68799314])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296])], [array([-0.14503662, 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[array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])], [array([-0.68695614, -0.33609031])], [array([-0.37221164, -0.59945186])]], [[array([0.86966612, 0.54313864])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 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[array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.95517528, 0.54779286])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])], [array([0.44434661, 0.44467336])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.44434661, 0.44467336])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])], [array([0.65176163, 0.45430396])]], [[array([0.86966612, 0.54313864]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, -0.94928075])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([0.88494701, 0.62883661])], [array([-0.60518436, -0.83543295])], [array([0.65176163, 0.45430396])], [array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([-0.47547604, -0.99329668]), array([-0.52415912, 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0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([0.57392533, 0.59805767])], [array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), array([-0.77727968, -0.67207945]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([-0.78516035, -0.15991278]), array([-0.04161693, -0.64680612]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.46575643, -1.17227646]), array([-0.60518436, -0.83543295]), array([-0.42522798, -0.8001287 ]), array([-0.52415912, -0.94928075]), array([-0.14503662, -0.98769731])]], [[array([0.86966612, 0.54313864]), array([-0.50501599, -0.40570723]), array([-0.99050119, -0.06288726]), 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array([-0.99050119, -0.06288726]), array([-0.64024247, -0.97203314]), array([-0.77727968, -0.67207945]), array([0.78915564, 0.91959001]), array([-0.47547604, -0.99329668]), array([0.53682653, 0.42042521]), array([-0.41155356, -0.53766466]), array([-1.08768046, -0.65067466]), array([0.55719971, 0.70488827]), array([-0.39351116, -0.82636403]), array([-0.31005506, -1.22654081]), array([-0.78516035, -0.15991278]), array([-0.04161693, -0.64680612]), array([-0.46575643, -1.17227646]), array([0.62116925, 0.17920966]), array([0.63919041, 0.68799314]), array([0.88494701, 0.62883661]), array([-0.60518436, -0.83543295]), array([0.95517528, 0.54779286]), array([0.56069478, 0.52060296]), array([-0.42522798, -0.8001287 ]), array([0.65176163, 0.45430396]), array([0.44434661, 0.44467336]), array([-0.52415912, -0.94928075]), array([0.57392533, 0.59805767]), array([-0.37221164, -0.59945186]), array([-0.68695614, -0.33609031]), array([-0.14503662, -0.98769731])]]]\n"],"name":"stdout"}]},{"metadata":{"id":"JLitfQYfb8TX","colab_type":"text"},"cell_type":"markdown","source":["Evaluons maintenant nos résultats. Pour ce faire, on regarde chaque couple de points s'ils appartiennent à un meme cluster. On calcule ensuite la proportion de couples similaires dans les donnnées de base et dans notre clustering. Cette porportion est calculée pour chaque étape de notre algorithme (chaque nombre de cluster). En l'affichant on doit trouver des pics aux endroits intéréssants. "]},{"metadata":{"id":"f6G795on0WEG","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":59},"outputId":"22208da9-a4e0-4349-aea6-503c8433532a"},"cell_type":"code","source":["def distance(v1,v2):\n","    return sum((v1-v2)**2)**(1/2)\n","print (tableau_lignes[10])\n","\n","def evaluerEfficaciteAlgo(clusters_evaluer,clusters_donnee,labels_sortie=False):\n","    def evaluerCluster(cluster_evaluer,cluster_donnee):\n","        nbr=0\n","        for x in cluster_evaluer:\n","            for y in cluster_donnee:\n","                if distance(x,y)<10**(-10):\n","                    nbr+=1\n","        return nbr\n","    success=0\n","    if labels_sortie: labels=[]\n","    for cluster_evaluer in clusters_evaluer:\n","        resultat=[]\n","        for cluster_donnee in clusters_donnee:\n","            resultat.append(evaluerCluster(cluster_evaluer,cluster_donnee))\n","        success+=max(resultat)\n","        if labels_sortie: labels.append(resultat.index(max(resultat)))\n","    if labels_sortie: return success/sum([len(x) for x in clusters_donnee]),labels\n","    return success/sum([len(x) for x in clusters_donnee])\n","  \n","  \n","def test(clusters, point1, point2):\n","  for cluster in clusters:\n","    aux=False\n","    for point in cluster : \n","      if np.all(point1 ==point) and aux: \n","        return True\n","      if np.all(point1 ==point):\n","        aux=True\n","      if np.all(point2 ==point) and aux: \n","        return True\n","      if np.all(point2 ==point):\n","        aux=True\n","  return False\n","  \n","def evaluer2(clusters_evaluer,clusters_donnee):\n","  nbr=0\n","  success=0\n","  for point1 in init_points:\n","    for point2 in init_points:\n","      if (test(clusters_donnee,point1,point2) and test(clusters_evaluer,point1,point2)) or (not(test(clusters_donnee,point1,point2)) and not(test(clusters_evaluer,point1,point2))):\n","        success+=1\n","      nbr+=1\n","  return success/nbr\n","\n","\n","  \n","X=[]\n","Y=[]\n","for i in range (29):\n","  clusters_evaluer=tableau_lignes[i]\n","  clusters_donnee=donnees_initialisation\n","  X.append(29-i)\n","  Y.append(evaluer2(clusters_evaluer,clusters_donnee))\n","plt.plot(X,Y)\n","plt.show()"],"execution_count":0,"outputs":[{"output_type":"stream","text":["[[array([0.86966612, 0.54313864]), array([0.88494701, 0.62883661]), array([0.95517528, 0.54779286])], [array([-0.50501599, -0.40570723])], [array([-0.99050119, -0.06288726])], [array([-0.64024247, -0.97203314]), array([-0.47547604, -0.99329668]), array([-0.60518436, -0.83543295]), array([-0.52415912, -0.94928075])], [array([-0.77727968, -0.67207945])], [array([0.78915564, 0.91959001])], [array([0.65176163, 0.45430396])], [array([0.53682653, 0.42042521]), array([0.44434661, 0.44467336])], [array([-0.41155356, -0.53766466]), array([-0.37221164, -0.59945186])], [array([-1.08768046, -0.65067466])], [array([0.55719971, 0.70488827]), array([0.63919041, 0.68799314]), array([0.56069478, 0.52060296]), array([0.57392533, 0.59805767])], [array([-0.39351116, -0.82636403]), array([-0.42522798, -0.8001287 ])], [array([-0.31005506, -1.22654081])], [array([-0.78516035, -0.15991278])], [array([-0.04161693, -0.64680612])], [array([-0.46575643, -1.17227646])], [array([0.62116925, 0.17920966])], [array([-0.68695614, -0.33609031])], [array([-0.14503662, -0.98769731])]]\n"],"name":"stdout"}]},{"metadata":{"id":"rri7W6RObqA9","colab_type":"text"},"cell_type":"markdown","source":["on trouve bien "]}]}