RAU_MasterStudy/thesis/old/old1/mdanalysis_fus(1).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "import MDAnalysis as mda\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm.notebook import tqdm\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.manifold import TSNE\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.mixture import GaussianMixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "u = mda.Universe(\n",
    "    \"../no_phos_0.5/gromacs/step5_1.tpr\", \"../no_phos_0.5/gromacs/centered.xtc\"\n",
    ")\n",
    "ag = u.select_atoms(\"name CA\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7fddfef8b035457aa65dfe3f8cc0d04a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, max=10001.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "ca_poss = []\n",
    "for ts in tqdm(u.trajectory):\n",
    "    ca_poss.append(ag.positions)\n",
    "ca_poss = np.array(ca_poss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10001, 549, 3)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ca_poss.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "ca_poss = ca_poss[::10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1001, 549, 3)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ca_poss.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## pca 2 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "principal_components = pca.fit_transform(ca_poss.reshape((ca_poss.shape[0], 549 * 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1001, 2)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "principal_components.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.scatter(principal_components[:, 0], principal_components[:, 1])\n",
    "plt.xlabel(\"component 0\")\n",
    "plt.ylabel(\"component 1\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.48535517, 0.32633647], dtype=float32)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE 2 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsne = TSNE(random_state=17, n_components=2)\n",
    "\n",
    "projected_tsne = tsne.fit_transform(ca_poss.reshape((ca_poss.shape[0], 549 * 3)))\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(12, 10))\n",
    "plt.title(\"MD t-SNE projection\")\n",
    "plt.scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], edgecolor=\"none\", alpha=0.7, s=40\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(16, 8))\n",
    "\n",
    "ax[0].set_title(\"FUS PCA\")\n",
    "ax[0].scatter(principal_components[:, 0], principal_components[:, 1])\n",
    "\n",
    "ax[1].set_title(\"FUS t-SNE\")\n",
    "ax[1].scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], edgecolor=\"none\", alpha=0.7, s=40\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "def out_move_percent(cl):\n",
    "    n = len(cl)\n",
    "    on = 0\n",
    "    for i in range(1, len(cl)):\n",
    "        if cl[i] != cl[i - 1]:\n",
    "            on += 1\n",
    "    return on / n * 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 component kmean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "intertias = []\n",
    "for i in range(2, 25):\n",
    "    kmeans = KMeans(n_clusters=i, random_state=0)\n",
    "    clusters = kmeans.fit_predict(projected_tsne)\n",
    "    intertias.append(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.title(\n",
    "    \"Sum of squared distances of samples to their closest cluster center vs number of cluster\"\n",
    ")\n",
    "plt.plot(range(2, 25), intertias, label=\"loss\")\n",
    "plt.plot(range(3, 25), -np.diff(intertias), label=\"delta(loss)\")\n",
    "plt.axvline(8, label=\"8\", c=\"r\")\n",
    "plt.grid()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=6, random_state=0)\n",
    "clusters = kmeans.fit_predict(projected_tsne)\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 10))\n",
    "plt.scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], c=clusters, s=50, cmap=\"viridis\"\n",
    ")\n",
    "centers = kmeans.cluster_centers_\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c=\"black\", s=200, alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6993006993006993"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "out_move_percent(clusters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 component gmm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d8b4151fdac64756a90b6a4a8ef3333d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, max=38.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "bics = []\n",
    "aics = []\n",
    "losses = []\n",
    "for i in tqdm(range(2, 40)):\n",
    "    model = GaussianMixture(n_components=i, random_state=0)\n",
    "    clusters = model.fit_predict(projected_tsne)\n",
    "    bics.append(model.bic(projected_tsne))\n",
    "    aics.append(model.aic(projected_tsne))\n",
    "    losses.append(model.score(projected_tsne))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Score')"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import metrics\n",
    "\n",
    "\n",
    "def SelBest(arr: list, X: int) -> list:\n",
    "    \"\"\"\n",
    "    returns the set of X configurations with shorter distance\n",
    "    \"\"\"\n",
    "    dx = np.argsort(arr)[:X]\n",
    "    return arr[dx]\n",
    "\n",
    "\n",
    "n_clusters = np.arange(2, 20)\n",
    "sils = []\n",
    "sils_err = []\n",
    "iterations = 20\n",
    "for n in n_clusters:\n",
    "    tmp_sil = []\n",
    "    for _ in range(iterations):\n",
    "        gmm = GaussianMixture(n, n_init=2).fit(projected_tsne)\n",
    "        labels = gmm.predict(projected_tsne)\n",
    "        sil = metrics.silhouette_score(projected_tsne, labels, metric=\"euclidean\")\n",
    "        tmp_sil.append(sil)\n",
    "    val = np.mean(SelBest(np.array(tmp_sil), int(iterations / 5)))\n",
    "    err = np.std(tmp_sil)\n",
    "    sils.append(val)\n",
    "    sils_err.append(err)\n",
    "\n",
    "plt.errorbar(n_clusters, sils, yerr=sils_err)\n",
    "plt.title(\"Silhouette Scores\", fontsize=20)\n",
    "plt.xticks(n_clusters)\n",
    "plt.xlabel(\"N. of clusters\")\n",
    "plt.ylabel(\"Score\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.title(\"Log liklihood\")\n",
    "plt.plot(range(2, 40), losses - losses[-1], label=\"loss\")\n",
    "plt.plot(range(3, 40), -np.diff(losses), label=\"delta(loss)\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.title(\"aic\")\n",
    "plt.plot(range(2, 40), aics - aics[-1], label=\"loss\")\n",
    "plt.plot(range(3, 40), -np.diff(aics), label=\"delta(loss)\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.title(\"bic\")\n",
    "plt.plot(range(2, 40), bics - bics[-1], label=\"loss\")\n",
    "plt.plot(range(3, 40), -np.diff(bics), label=\"delta(loss)\")\n",
    "plt.grid()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xz77jNycfic9q+lF4wHZ4f6H0rt0XzCn6qNGE19E26yqX8fTaP5NXNofCwGY2Vq8gpANNjhUMBXnwwQcxTZOUlJRm501JScE0TR588EHsJp5CCCHEvk6SYyHaafvOijbfU1Zdw+SX3ufHTdvYUVHF019+zx9e+4iHP/2WLaU/1RoPzUxj5q3Xcutpx3J4v54dWkl2tWbW8rVkJsZzxdFjmmyJ7Grd6El+ovvZWLWiyVZqGgdbh9Ct2N1pKS+x23tRWFjYYmK8S0pKCgUFBeTl5bUpZiGE2FdIzbEQ7dQjNoqCsspWXauoTT5dRzNnzSYWPPlG3euKgG3jMQ2e/Wo+U889kVNHDQEg2uvh3MMOZnR2Juc98jKO25GVutqUeOKw/jw7O5eaRla8o70ejhqU3YE5RGeJMmM7PIbCwGdEsX1uFTExMS3fsJuYmBhmzJjBiBEjOhyHEEJ0N7JyLEQ7XXbkIfg9zX+/3LVKu/caXtB26noN1yapIcclYNtMefPTBivS/dJ6MLZfz0ZLIgyliPY2H4OhFMfn9Aegf1oygw5KwWPuOZZlGKTExTBxmBwG0l1prVlelssL6+5kXUX7Vm0t5cVSHkxlMTBuFL/sfzerV6wlOTm5TeOkpKSQl5eH28paeyGE2JfIyrEQ7XTpkYewcMMWvl21gZqQjQZ8loVlKAK2g99rEao7bKO1tNa8PX8Jvzx+HADfrd7A/dO/YdmWApQCQ0GU14PtuAzJSOXeX5zKL597h7UFO5ocM8prccPEcbz0zUIe+vQbXFfXJzV+j4WrNUf0783U805qkDSL7kFrzZubH2bpzjkE3Zp2jWEpL+f2vJF+scPwmn68hp+amtqx9j7GvCW7rg8Gg/j90v5PCLF/keRYiHayTIMHLzmdxZu2MWPxSkKuy/FD+zO2f6/65GHc3x5tU3IcdBw276itPZ7x40pu+9+Mn0ogdO0Kr9/j4anrz2FQRirFFVVsLt7Z5HiGUjx22Vm8+t0PPP/1/AYr2K7WPHb5mRwxQMopurOV5Qs7lBgDuNphWOJYTPXTj32v1wvUJt9tSZC11nvcL4QQ+xNJjoXoAKUUI3pnMKJ3RoP3Fm7Ip7ym8Z7GTfF7LIZkpOK4Lne8+3mD2mDbdSmvCTBjySr+M3Mus5avJeQ0nXx7TAPHdXnu6/mNvh+0HZ7/eoEkx93c3OLpHUqMATQa2w1hmj/92DcMg6FDh7Jx48ZWb8gDKCoqIicnB8OQyjwhxP5HfrIJEQE7q2u45um32nyfaRiccchQlm8tbDLpDdoOT3/5PZ/nrSZoO032JDCU4rB+vbh/xtfNzrlw/ZY2xyk6V6Vd2uExFApDNfyRf/LJJ1NZ2bqNpfXxVFYyadKkDsckhBDdkawcCxEB783Pw2lhs5LXNPFYBiHbxWMamKbBo5edyfz1+Tw1K5fqYNPdKVpzgp6rNblrN1HTQllHc72PRffQJyaHrdXrm2zf1jJF39hheAxfg3dycnJITU2lqKioVavHRUVFpKWlkZPTfL9uIYTYV0lyLEQELNta2GwCayjFBWOHc9SgPizasJXFm7exoaiEXz33DoGQTShMXQBaSowBTh89NCxzicg5IuVnzNvxSbvb+fkMP6dlXtPoe5ZlMXnyZKZOndpiglxUVITjOEyePBnLavjrw9E2c4tmMKf4IyqdMg7yZ3N8+s/pHzu8XXELIURXkLIKIcJs9fYiyqprmj24w1CKX4wbRUpcDC9+s4C5azaxuaSMikAwbIlxa/gsk+uPH9tp84n2SfSmckXfPxNrJaKaPMalcQYmp2deQ5q/Z5PXZGVlMWXKFKKjo9mwYQOFhYX1m+601hQWFrJ+/Xqio6OZMmUKWVlZDcZwtcML6+7kk20vURzcSo1TyfrKPF5cdyffF3/atg8shBBdSO36AdgdjBkzRufm5nZ1GEK0S2UgyE0vvseijVsBGj1oYxcFpMbF4GhNcUVVxGNT1G4edHf7991jGjx77fmMzs6M+PwiPFzt8tCKyRQG81t9j8+I4qLsPzAgbmSL19q2TV5eHjNmzNjjBLycnBwmTZpETk5OoyvGZaEdTN/yPIt3foNLwy93HuXl1pxn8ZlRrY5bCCEiTSk1X2s9Zu/XpaxCiA7QWrNo41Y+XbKKmXlr2Fpajt2KlV8NFJS3fhNUtNci5LitqjXemwLGDehNUkwUX+StQQNHDerDTSeNp39a2w5/2F1ZcTmz35xD+Y4KBh02gNHHH9zmfrmibRSK8jZuznNxyY4Z0qprLctixIgRjBgxAtd1CQaDeL3eZrtSLC2dw7RNDzR7ZLWjHT7Z9hInZ1zWaN2zEEJ0J5IcC9FOIcfhphff5/t1m6kJhprsGqGA5NhodlRW77Fy2xa2qzljdA7vL1pGsJE64tS4GLKS4snLLyC4V5cLn8fixhPHM7KRdnPtNeO5L3johv+iDEUoYOON8pLWK5n7Zv6VpPTEsM0j9hTSQQJudauv9ygfJx90absSUsMwWjzgo8Iu5Y1ND2Dr5lsWujh8v+MzFu/8luv730WyL3x/FoUQItyk5liIdnr6y1zmrd1EdTOJMdSuEhdVVLU7MbYMg5MOHsifTj+WAWnJRHs99e9Fez3kZKVx00njObx/L3onJ+CzzPr/ekyT2884jqGZqeSu20zuus0Emin3aI3VC9fx8K+fIlgTIlAVxHVcaipqyF+1jb+ec2+HxhbNK6je2IarFRNSz2ZcyqkRi2fhjlmtvtbRIarsMl5c/w8c16E7lfQJIcTuZOVYiHZ66duFzdYVh4sGvl21geVbCjhnzDA+WbKKovJKevVI4PD+vXl85lz+8f4sqoIhojwWjqtBgakMLFNxzwdfcud7X2AaBoraFm83n3wUvzhiVLvi+d/9HxAKhBq87tgOq+avZd2SDfQ9WA4VCbdV5Qt5ef096EZqehtjYuI1I3u0c0mwoMVV491pNEWBfP685HwMTHISDufkjMtJ8qZFMEohhGgbSY6FaAetNSWVrX+83RzLMDAMhdc0cVyXgO3sscrsuC47Kqu59Ik3iPJYVIdsLNMgv6SMOWs27XE8dfVuybrdTBJ138ezSYqJ4uQRg9sc7/olG3Hdxlf9QkGbG8fexh9fvImjz5EuGOHiapc3Nz1CqA2JqGlYxFhxEYwK0v3ZeJSPkA60+p5ddckuDkt3zmFNxWJuHHQ/CZ72178LIUQ4SVmFEO2glCItLiYsY43MzuDrKb/kiSvP5oYTjsDvafo7667k13Zqk+hAK/oYN6YmZPPgJ9+2+b7qiuoWN90FqoPcc9nDrMhd067YREMryhdQ0caNeFq75MSPi1BEtUYlTcBQ7T9ERqMJONXM2jaNgFONqzuvjaEQQjRFkmMh2unKCWOaTWRbQwE/GzGEGJ+XUdmZ1ARDVAUblixEwqbi0kY39zXl67fmcE7KVaxeuK7Fa4PVQV79R9uPzxYNVdnlTNv4QJOdIHbZ1f/YwMSjvJzXa3LEW6f5zCiOSTsH1YFfJS4O80o+4e9LL+WOJRfz0ZbnCLmtXyEXQohwk7IKIdrpkvGjWbG1kI9/XIHj6la1cNubAiqDPyUCqfGx9aUTkWaZBpZh4DgOP3yxlMLNxWTn9GTwYQMarA7P/WgBfzv/X7SQn9XTWrNi3uoIRH3g+X7Hp9hu01+YDEyGJYzDVCbFwe1k+PswPuU0Uv0ND+oIt9kF7/LF9mmtroNujsYlpAPMKfqILdVrubrf36Q1oBCiS0hyLEQ7GYbizvMncfUxh/HO/KU8//WCNifILvDW90tYs72YIwb05vic/tzzwayIxLs7y1BMGj6INYvWcftp/yBQGaitc9aag/qm8Y+Pbyclq7YG1HEc7rr4gVYnxrvEp0S23vVAsaxsHg5NJ8emMjk543ISvU0f+xwJNU4ln21/tU0b8lrDwWZz1SrWV+bRN3ZYWMcWQojWkORYiA7ql9aDyZOO5M3cJZRW1TR4XykwlcJuYhPbuqIS1hWV8MmSVcRH+Zhy5vH8/d2ZuFoTtB08htHskdI+y2xT7bHPMkmMjuKG8YcyecQtVO7c84S+jcvyueWEO3gm7wGqyqp49R/vEKho/YYrAH+0jzN/fUqb7hGN86imexQrFKdmXhX2xHhb9Xq+KnyH/Oo1xFs9GBJ/GDVOJQrFkITDyIzqy/Ky3DYfZd1aIR0gr2yuJMdCiC4hybEQYWAaBjeeOJ77PvqqQUmEz7K489xJ/P61D5tdfK0KhgjYNtPmLebj31/JtHmLWbWtiD4pSTw3O5dQE8n1xGH9KSyrZP76LU32Ut6VwhyUGMuFY0dxwdjhfP7fz7FDDZNq13Epzt/Bi3dM441/vourNU4bTuYzTIPhE4Yy6YpjW32PaNqYHhPZVLWy0Y4QXsPPIUnHhXW+JaXf8r9ND2FrG41LUSCftZWLAVAYfFnwFjFWHOV2KS7t2xDaGgbt3+gnhBAdIRvyhAiTC8eN5OZTjibO7yPG58HvsejVI4HHrzibnJ5pRO12eEdTHFezbEsBIcfh1yccwQOXnM7Rg/s2mRgDzMxby8OXnUl2ShJRTWwQ1HX/Lams4cJxI4iP8rNszioCVY2vCIcCNq/e9RaB6iChmrZtELz6rl/w9/f/hGlJchMOByeOJyOqD5by7vG6R3k5I+t6LKPlP1etFXQDvLm5tmVcY3XEGhebIDvt4ogmxhYWwxIi22lDCCGaIivHQoTRRUeM4vzDh7OusASfZdE7OQGlFBU1gfp6ZK1dtOOgTBOlGn4/9Vgm23dWkJWUAMC6oh3NzhlyHOL8Pqb930V8sGgZ//l8LtvLKhq91lCKz5au5qxDh5HWOwXTY+I0snqs0eh2bDD0RnmIio3CNCUxDhdTWVzd7w6+LfqQecXTqXYryfT34/j0C8JedrCyfEHESiXaol/sCHpFD+rqMIQQByhJjoUIM49pMuigPWtA/ZZJdGUJWxbmEijeXv+6Lzmd2H5D8KWko4zahDJoO/TqkVB/zZCDmj89LCW2tt9ylNfD+YePYNGGrbyzIK/Ra4OOU18XffLVE3n7oY8bT44dt8mDPpoTrA6xakHLrd5E21iGhwlpZzEh7ayIzlPjVHZ5r+HDe0zitKxrpFOFEKLLSHIsRITl5+dz3/33s+yz2WjLgxWXiFIKrTXBnSUUf/8lVnQsPcYcTXRiD8YPyCY1Prb+/mE900iKiWryRL5fTdzz8fOo7AxmLF5FdahhOYTXNBmSmQpAz4EZXH33RTxz6yuEgjau4+LxWpiWSc6Rg1k0cwluG2qNATw+i7Tszu2asD8rrMnnm6L32FS1inhPD8Yln8qguNERSxx7RQ9ssZ9yuCkUfiOGE9J/wegex0a8N7MQQrSkwzXHSim/UmqeUuoHpdRSpdTf6l7vq5Saq5RapZR6Xam9CuaEOADk5+czdepUiktK8SclY0XH1Cc2Sims6Bg88Uk4wSAlc2aSHW1x989P3mMMpRSPX3FWgwNHTKWYMLgP5445eI/XTx05BJ/HbPBw3DQU6QmxjO3Xq/61c276GQ/PuYtTr5nIoSeN5NybT+PpvPu59u5L8Hjb/t1ZKcWkK8K7QexAtaJsPo+u+h3zd3zOtpr1rCxfwGsb7+W9/CfQTWy87Kh0fza9owdjqfDVMe/Sw3sQJ6ZfTM+ogVjKi9+IxlJe+sUO57dDHmFc6imSGAshugXV0R+yqvY3fYzWukIp5QG+BiYDNwNvaa1fU0o9Dvygtf5Pc2ONGTNG5+bmdigeIboL27a57bbbqKqqIjYhkedmz8dpoo43yuthfK9Ueqenctddd2FZDRPT7TsreOW7RcxZs5Gk6Ch+Pm4Exwzuh2E0XEVcvb2YG55/h5LKapSq3ejXL7UHj11+5h6r0s1566EPefpPLxMK2C0mY5bHwrAMbnr0GvqP7MO3785Daxh32qEMPmxAq+YTP7HdEHflXUnArWrwnkf5uLzvlIi1OQs41Uzb9BCryhdg6/Cc1qgwuH3Y80SZtSVAOwLbKA0V0sN7EIne1LDMIYQQbaWUmq+1HtPg9XCuQCiloqlNjn8FfAgcpLW2lVJHAH/VWk9q7n5JjsX+5Mcff+T+++8nOzsbgA9/WM7G4tIGtbwe0+CoQYJjvpsAACAASURBVH3IyUpn/fr13HzzzYwYMaLD82ut+WHjVraXVdAnJYnBGW1PQrau3c5/bn6OuR8twLUbJvamZTDyuGH0H9mXU64+nmenvMa8jxcQqgmhAa/fy6jjhvHXt27B6uBR2weS5WW5vLHxfgJu46U0IxOO5oLs30Y0hrLQDp5dewcFgY0dHivVm8VvhjwchqiEECJ8mkqOw9LKTSllKqUWAQXAp8AaoFRrvavh62Yg8meZCtGNTJ8+nZiYmPq/P35of+L9Pjx1nRyUqk2M+6QkMTSzdtNdTEwMM2bMCMv8SilGZWcyafigdiXGABn90rn91d+Q2jO5QWs2X7SXCeeP554Zf+a6f17K12/PZd7HCwhUBXFdjXY1gaoAC2cu4aW//y8cH2m/FHCqWVjyBbML3mFV+SJc7VLtVODopo8Q31y9JuJxxXt6MDH9ggYt5NojpROOshZCiHAJy1KO1toBRimlEoG3gaGNXdbYvUqp64DrAHr37h2OcITocq7rsmzZsj3+TEd5PVw4biTrCnewvqgUj2kw+KBU0hNi6+uQU1JSyMvLw3VdDKN7tCH3Rfl4+Lu7+Pd1TzD/k0X1SfLoicNZv2QjJ3svJCrOT7AmRLC64VHCweogb97/AZf+5fwDrsVbWXE5bz3wATNf/QbXdTnq7LGc97vTScnsAdSuEL++8V+AwnZDWIaHWCuBs7J+hd1MclwWKsbVDoaK7P+fwxKO4MuCt9hSs7bdY3iVj8N6nBjGqIQQIrLC+pxTa12qlJoFjAMSlVJW3epxT2BLE/c8CTwJtWUV4YxHiK4SDNYmiXt3FTANgwHpKQxIb7yjw67rg8Egfr8/skG2QVJ6In9/949UlFZSvqOCOR/m8vStr9YfIlJRUtns/TWVAS7Muo4bHryK435+ZGeE3OVKtpfyq0P/QFlxBaFAbe3uu49+zCfPz+LReXfj76l4dcN92PqnLxRB16EkGOD9LU81O7bGpcouJ9aTGNnPECqgMJDf7vst5WVA3CgGxo0OY1RCCBFZHU6OlVKpQKguMY4CTgDuAb4AzgNeAy4H3u3oXELsK7ze2kfRWus2td3atQdg1/3dTWxiDJbX4pnbXm3ydL2mlBaU8a+rHsOyTI4+t7b93Na121mZu4bYpBhGHjtsv6pLfua2VygtKMOxf+ojbQcdKkoreeSmpxn7RMoeifEuGk1JsACfEdXohrxd13gj3NmhKLCFx1b9odFjq1vDa/g5M+t6RiQejdHIYTdCCNFdheM3UQbwvFLKpLaG+Q2t9QdKqTzgNaXUVGAh8HQY5hJin2AYBkOHDmXjxo2kpLS+729RURE5OTndpqSiMT9+mYdhti++QHWQh//vKXpkJvHqXW+x8PPF9QmxaZnc/tpvOPTEkeEMt8vMeuPbPRLjXbSrmf/pj8TvjGvyXkeH6B87nDUVPzboGKEwGBR3CF7DF/aYd/fhlmcINrEhsCUe5eP0zGsYlXRMmKMSQojI6/BvYK31j1rr0VrrEVrrg7XWd9S9vlZrfbjWeoDW+nyt27n8IMQ+6uSTT6aysvlyg71VVlYyaVKzTV26XFsPBtlbyfad3Dzhz8z9cAHBmhBV5dVUlVdTXlLBbafexTuPfNxoUrmvCdY00wZNQ6W9s5m3NcMTjyLFl4VH/ZQEe5SXWCuBM7KuC2eoDbjaYXX5omYPBLGUl/4xI/eIr/Z1D8m+DEYkHh3RGIUQIlL2n2eYQnQzOTk5pKamUlRU1KrV46KiItLS0sjJyemE6Fpn86qtvHrXW8z/7Ef80V5OvmoiEy8+CjvY9Gax1mgqwXYdl8dvfp5Zr3/LPz/7M15f+A+j6CwDD+nHiu9XN/peaq9kDLWj2Y4UfaKHcPCAI1hc+jXzS2biaJvhCeM5tMdE/GZMk/eFg677T3P6xgzjkj5/Yk3FYj7f/irbazbiM6IY0+NEjk0/F8vYd//ZCSEObGHtc9xR0udY7G92nZBnmmazCXJRURGO4zBlyhSysrpH26vl81Zxy8Q7CNYE65NZb5SXjL5pjDvtUN55ZPoedcemZRIdH0WgOkCwumOHR/iivFw05VwuuvUcoHZz26IvlmKYBoeeOILYxMgmh+GwcOZi/t/pdxPYq4OHL9rLLc/+H5sO+4plZXMbvTfajOfWnGe6tFb3kZW/Z2sTXSrSfL2YPPjBTo5ICCHCK6J9joUQjcvKymLKlClER0ezYcMGCgsL6zfdaa0pLCxk/fr1REdHd6vEOG/OSv40aSo1lTV7rPIGq4NsXbudqPgorr3nYhLTEvD4LCyvxfizDuOpJf/mpkevJSquY502AtVB3ntsBlpr/vPbZ7m47w3cf/3j/Pua//DzzGt5/d7uv7939PHD+eOLN5F0UCL+WD9RsX7iesTyfw9fzTHnH8EJ6RfuUZJQtQpW/Nrg+zEmsw+p5i9n3cuGZZu7LP5TMy/H00iPY4/yRrysQwghupKsHAvRCWzbJi8vjxkzZpCXl1f/ek5ODpMmTSInJ6fRI6O7wpN/eJF3H5lOsKZhJ4VdMvql88LqR3Bdl4qSSvwxPrz+nxKpkoJSLur1S+xQ+2uHfdFeLvvrBbzw12mNdsawvBZDxw3iijt+zogJ3aMUZfWidTz4q/+yZtE6DNPkyDMP44aHr6J4czGlhWX0Pbg3Sek/tV/bWLmCd/IfZ+MP+Sy+QuPWUN8RXinwx/p5+Lu7yM7p1SWfZ1X5Qt7L/y9loWIAEjwpnJF1LQPiRnVJPEIIEU6dcnx0R0lyLA4ErusSDAbxer3drivF4tnLuO3UO6mpbH7/bFJ6Am9sbb4X7/3XP8HnL33VoKygtQYc0peCDYWUFVc0e53HZ3HjI9dwytUT2zVPuMz9aD5TTru7weuW16JHRhIl20rQGrJzenLTY9eSM25Q/TWTj7mdvNkrG9yrFBx2ymju/OC2iMbeHK01ZfYOAOKtHm1qTSiEEN2ZlFUI0U0YhoHf7+92iTHUHlLRUv9iwzQYdfzBLY514yNXc8KlE/D6PUTFNiyz8Po9+KK90Eiu5Yv2cd7Np1Nd0XKTm1DA5uEbn6aqvH1tx8Jl6oX3N/q6HbQp2FBIKGBjB23WLFrPH064gzkfzOeVf7zFk7e8wLJvVjV6r9aQO+MHunIRQylFgieZBE+yJMZCiANC93iOK4ToFgo3FdNSHub1ebj49nNbHMvyWPzm8eu56q6LWLNoPcGaEPM+XsD3Hy/CG+Xl5CuP49RrJ/LfP7zEjOdmYXlMlFLYtsNVd/6Co88dx7+u/k+r4jYMxbyPFnBsJ56+t2HZZsqLy8ke1ovCzcXUtCKR3yVQFeDPZ92DaRotlp5ordt8mIwQQoj2k+RYCFFv6LiBrMxdix1qvMVYWu8Ubn15cptqYON7xDH6+OEAjD31kAbvT/7PdVzy5/P5YdZSPF6LQ04cQUx8NABHnTOW2f/7rsUE0nV0i6Ug4bL2xw1MvfDfFGwswvKYhAI2I48b1uZxtKux3ZZrskcc070PhRFCiP2NJMdCiHpn3XgqHz7xWYPk2LRMBh7Sl4e+uysiK5jJGUkc/4ujGrz+fw9dxYp5q9i+oaiFg0E0Bx89NOxx7a14awm/nfD/qCqrLeHYlY7/MCuv6Zs6wBft49p7Lo3I2EIIIRonyxFCiHoH9Unjb+/8gZiEaKLjo/DH+PBFexkydiB3fXx7pz/aj0+O48kf/8Xld/wcZTQ+tzIVh508mp4DMyIez3uPTicUaLiqHqwONhlfWximgWEamJbBkLEDuffzvzB4TP8OjyuEEKL1ZOVYCLGHQ04YwbTtT7Hg0x/ZWVTOgNF96Tciu8vi8UX5+MWfzmbwYQP4+wX/oqqsur73sjIUJ15yDJP/c22nxDL/0x8IBRo/4CQq1k9yZhKblm9p9/imx+SJRfeR2jMZf7Sv5RuEEEKEnSTHQogGPF4PY392aFeHsYdDJg7nf9ufZvHsZeSv3kZKVg8OPnIwMQmdd1pebFJss+9Pfuw6pv3rPXJnLMKxGx6RHRXrZ8AhfVk8exl7n85sWgbDjxpKr0GZ4QxZCCFEG0lyLITYZ5iWyajjDmbUcS23kouEn113Iku/Wd7o5j/TMskckM6CzxY3mhgbpsG408ewfO4qFAq9V3bsuprJj3fOCrgQQoimSc2xEEK00vgzxzDy2GH4Y34qeTBMA1+0jz+9eBObV27F6/c0eq/ruCyenUdpwc5G+xZ7/V7mfrggYrELIYRoHVk5FkKIVjJNk7+98wdmvvI17z46nbKicoYeMYgL/3gWfQ/uzYa8Tc22nfP6PJQGG2+TF6gK8M7DHxPfI46jzxuH19d4ki2EECKy5PhoIYTooMqdlUx/9gu+ey+XFblrqKmoaXCNP8bHqdeewMdPfU51I+/vEhXrJzo+ioe+vZO03qmRDFsIIQ5ocny0EK0UtG2+Wr6ODxYtZ0NRaVeHI7q5go2FXDnkNzw75TV+mLX0p8S4rrObUrWJ8YTzjuCKv1/Y4njVFTWUbN/J3867L4JRCyGEaIqUVQixm1nL1vLH1z9GU3tsr+O6HDGgN/f94mdEeeUxt2jo3qseY2dRWX17uXp1D+US0xO57t5LmXjR0Sil+PP/fs/fzr0Xx3abbAvnOi4blm5m88ot9JTuFUII0alk5ViIOqu3F/G7Vz+kIhCkMhCkKhgiYDt8u3ojt0+bQSBkN7qRShy4yorLWfrN8oaJ8W5KC3by2E3PUry1BIBBh/bj1pcnc8o1x++xsW9vlteiYGNR2GMWQgjRPFk5FqLOM1/NJ9jIEcVB22HGklV8smQVUV4Pp4wYzO9OOZqEaH8XRCm6k/KSCkyP1eipebtoV1NdWcMb975LWVE5s9+cg8fnIRS0aztbNNIWDiAUCJHVCaf+CSGE2JMkx0LU+XrletxmVoY1UBUM8WbuEt7MXYJlGPRL68Evjx/LpOGDOi9Q0W2k9kqBVjxNsIM2Hzz+CUopgjUhgjW15RRNlVVYHpNhRw4hPVs25AkhRGeTsgohgNLKanZUVLXpHtt1WbmtiNunzeDhT7+NUGSiO/P6PGT0P6hV14YCdn1SvIt2NZbXwrAM/NE+TMvEH+sne1gvprz220iELIQQogWyciwEMHPZGjyW2WhZRUuqQzZPf/k9K7cVsbG4lJ5J8Vx21KGM7d8rApGK7qRsRzmbV+R3aAw7aDNm0iiOOvtwyksqyTliEMOPHopSKkxRCiGEaAtJjoUAqgIhnGY2VbUk5Lh8kbcGDazeXszcNZu47KhDuemk8eELUnQ7m5Zvwev3Nltz3BKlICk9gSPOGEPlzirS+6RJYiyEEF1IkmMhgNF9Ot4ua/fK0+qQzXNfz+fUkYMZkJ7c5rEKyypYml9ArN/L6OxMTEMqoLqjxLR47CZOvGst02OxYt5qLun7a0zLABRn/d8krrzzIgz55y6EEJ1OkmMhgGFZ6cRF+SitavrksrayHYd3F+Txu1OObvU9Qdvhz29+wowlq/CaJhrwWib3XngKRwzIDltsIjyyBmSQNTCDtT9uaPcYdtBm4/La0oxQXeOK1+55l+nPzWLq+7cyeEz/cIQqhBCilWRZQog6kycdiRHGx9mOq9u8yW/quzP5dOlqgrZT32+5pLKaG194j7UFO8IWmwifU6+d2KrrDKNtf7ZKt+/kd8f+hfVLN7UnLCGEEO0kybEQdc4cnUNmYhxmmBLkaK+Hw/r1bPX1pZXVfLBoGTWhho/pg47DM199H5a4RHjN/WhBq65LykjEF+Nt09jB6iAv/O2N9oQlhBCinSQ5FqKOz2Pxyg2/4Jih/fCaZofGMpTC77EI2A5XPDmNS594nZe+WUhlINjkPau2F+O1Gp/XcTUL1m/pUEwiMsp3VLZ4jWkZDBjVF3TbvnhprZn95hwuH3Qj56ReyXlpV/PPKx5hy5pt7Q1XCCFEC6TmWIjdJMdG8/ClZ7CltIzT/v08gUZWcVuiFPRLTcJ2Xe798Euq68ZYsH4Ld3/4JccN7cfkk45ssFEvIdqP7TZ9oERiTFSbYxGRd+hJI1mzaH2TB3oAOLaLP8bXvuPHNWxZ/VMy/PnLs/n67Xk8+M1U+h7cuz0hCyGEaIasHAuxm2VbCnhtzg88NOMb2ltcMSQjlSMH9WFLSXl9YryL1pqZeWu48NFX+GHj1j3eG5ieTGpcTKNjRnk9XHTEqHZGJCLpjF+dVHsMdDOi4vwcedZYRkwY2uK1LXEdl+ryah75v6c7NI4QQojGSXIsBFAZCHL5k9O45PHX+eeHX/LRjysarf0FUNSuDjcmyuvh4vGjeW3ODwSdpg8UqQ7Z/L83P9lzXKX490U/I8bnxWP+9K9mlNfD2P69OGWEHFHdHfU4KIl/zfobWYMyGu1PbJgGMQnRHHXO4fzlzVsYf9bhePweYhKiMZsoo2mNvO9WUFVe3ZHQhRBCNEK16zFfhIwZM0bn5uZ2dRjiAHTji+/x9Yr1zSa0u0R7PZx/+HBen/sjgZBd39/Y77EYkpFKVo8EPly0vMVxTEPx8e+uJKtHwh6vb99ZwSvfLeK71RuIj/JzwdgRnJAzoM3dDkTn0lqz9NvlPHLjM2xcno/X58EO2fQe2pO/vvl70nqn1l9bWriTzSu3kvfdCl6843/UVLS9haDltXht8xMkpMSH82MIIcQBQyk1X2s9psHrkhyLA11hWQUn3ftMq4+OjvF5+PK261m9vZjHPv+OhRu24PdYnH/4CI4Z0pfLn5zW5Krz3q6acCi/O2VCR8IX3dDWddvZsnobab1T6DU4q8nrqitr+HnmdVS3YwX4oD5pvLDmETlNTwgh2qmp5Fg25IkD3rqiEnyW1WJy7LVMtNZkJSXw6xfeZXBGKos2bsXVUBW0eerL7/lsySpCrUyyAabNXczkk47CMqXCaX+S0TedjL7pLV4XFeNn6vt/Yspp/8C2HUI1TW/q250v2st1914qibEQ3cD26nKmb1pOpR2kX1wPKkJBPIbJhIx+JPmi668LuQ4fb1rO2+t/JOg6TMoazDl9RxDr8XVh9KIxkhyLA15aXCyhZsopMhLiGJKZyvdrN2M7Diu3FQEwd03DwxnWFOzAacPTGNt12bqzjF49EtseuOi2XNclGAzi9XpbPAJ6xIQcXtn4OG8/9CEv/f1NXMdt8lpftJeY+Giu//flHH3uuHCHLYRooyeXfccDS74CBQGn9omhAqJMD7Z2uWrwWKItD59uXsm68mKCrkPQrf1980PxFh5f/h3vnHglaVFxXfgpxN4kORYHvD6pSfRNTWLF1iLcvRJbUylGZ2dSEQhQE7Kx3aYTF6BNiTGA7WpivG07GEJ0T7Ztk5eXx/Tp01m2bFn96zk5OUyaNImcnBwsq/EfubGJMVz65wuY/eZc1i3e2OB9r9/DuTefxkmXH0dm//QWE24hROR9s30dDy2dTcDdqysRUOXUPgV6fNm3WMrA1g1/d1Q7IYI1NlNyP+bJoy/ojJBFK0nNsRDAph2lXPyf16kKhqgO7vlo22MYhFpIittDKRjVO5OXfvnzsI8tOld+fj4PPvgghYWFxMTEkJycjFIKrTXFxcVUVlaSmprK5MmTycpqugZ59aJ13HzMXwjVhLDr6tZ90T6yc3py/1d34PXLFykhuovLZr3MN9vXd3gcj2GSe9ZvpbyiCzRVcyzLD0IAvXokMv2Wq5h80niMveo4I5EYW4Yizu9j6rknhX1s0bny8/OZOnUqVVVVZGdnk5KSUl8LrJQiJSWF7OxsqqqqmDp1Kvn5+U2ONWBUX55a/C9Ov+Ekeg7KYMDovlx/32WSGAvRDa0t3xGWcUylqAgFwjKWCA8pqxCiTrTXQ6zPh2Uare5c0RgFNPU8RlF7Et65hw3n0vGjSI2Pbfc8ouvZts2DDz6IaZqkpKQ0e21KSgpFRUU8+OCD3HXXXU2WWKT1TuWG+6+E+6+MRMhCiDDpGZ3A1qqyDo/jMUxS/PK7oDuRlWMhdrNpx852J8Y+yyTG5yE1PqbRf7EUMGFwX2bddh03n3yUJMb7gby8PAoLC1tMjHdJSUmhoKCAvLy8CEcmhIi0a4eMI8rs2ImXUaaH64YcgSX7CLoVWTkWYjdVwWCz7ysgxlf7eDvkOJw2agjbyyopq67hyIHZXDhuJK7W/PblD1i2pRDTgJqQzUEJcfz17BM4clCfyH8I0WmmT59OTEzjR343JSYmhhkzZjBixIgIRSWE6AzHZw7kkgGH8uLqXEKu0+YN2QCHpfbil0PHRyA60RGSHAuxm97JCc2+f+TA3lwwdiSGoTi8X6/6RHlvL//qQjYWl7KltIxePRLISmp+XLHvcV2XZcuW0bt37zbdl5KSQl5eHq7rStcJIfZhSin+NGoi5/UbyePLvuXDjXn1bdpaa2tVWYN9LqLrSXIsxG5GZ2fhtcxGSyt8lskxQ/ozcdiAVo3VOzmR3snSv3h/Fax7ytDcQRxaawo3FVGUX4I3ykPvIVn1G+uCwSB+v79TYhVCRM7WqjI+3rSszYkxwKbK0ghEJDpKkmMhdjM0M42Ds9L5cdNWbHfPR2RRXg9nHDK0iyIT3Y23rj+11hqlFNWVNVSXVxOTEI3H56FwUzFzPsilcmcV2tUYpsG8Dxcw7vRDMRNU/f1CiH2X1prbv/+IGsdu+eJGJPvaVpYlOockx0Ls5bErzuL3r37E92s34bVMbMclIzGehy49nVi/9KEUtQzDYOjQoaxavorlX69l29oCDMvACTmgQLua3fvIO3Un33313jdceNP5UlIhRDelteaT/BU8sew7NlfuJDs2iV8OPYKJWYMaXLuhooQdgap2z9U7NqkjoYoIkeRYHBDKawK8Mz+Pr1euY2tpOVtKywmEbAamJ3PjSeM5bmj/+mvj/D6euPJstpSUsbZwB6lxMQzOSO3C6EV3deIJJ/Lknc9ChYnrujjNHEO+S9ANEVjdfQ5fEuJApbVmftFm3t+4lKBjc1zmQGItL08sn8O8wg31ZRLFgUomf/cOVw0+nJuHH7vHGI526UjF8A/F+TiuiylflrsVSY7Ffm9d4Q4uefx1akI2NaE9H32t2FbE71/9iD/+7BguGLtn94DMpHgyk+I7M1TRjbiuy4LPFjPz1dnsLChDU3uq4cBD+3PadSeQkpVM2bpqqDaocavx0vJThSABvNpH5abmu6IIISLLcV1u/O4tvtq6lhonhAamrfsBaLxPfbUT4qnlc7ig3yh6xvy0l6RPbA/8lqf+uOi2CmmHSjtIvFf2H3QnkhyL/d5vX/6AndU1NNVlpyZkc/cHX3JIn0wGpLeuX63Yv9khmz+ceAd5362sLZPYzcLPF/O/f73PHe/8gR9mLiUj1Jd1LKtNfJtJkIPUnoDVWw0ks296ROMXQjTv5dXz+WrrWqp3S2pbep6jgY83LefaIePqX1NKcUHfUTy9ci6hdmzI8xoWMZbsP+huZB1f7NfWFBSzacfOJhPjXQK2zXkPvcz5D7/MhiLZPXwgcF2XD574hOtH/55rhv+Wl/4+jVCo9hflg796ksVfLWuQGAOEAjaBqgB/Pfc+vFE+oq0Y+jIUC4saqggSQNf9mtVoggSooRILi74MJT46kbMn/6xTP6sQYk9Pr5y7R2LcGkHXodr+6anP2rJijv3gUV5cnQtat7m8wmdaXNT/ECmp6IZk5Vjs87TWTF+8khe/XkBhRRU5mamceUgOQzPTKSir2GNTVHNCrsvyrYVc/PhrfPz7K4mTzXf7rWAgyKV9f82ObT99EXr+L2/w2j3v8PiCfzL92S9aMYomKT0Bj9fC70TRXx9MJWUUs51KfjpSNoZ4kkknRsXjj/Jz3u9OY+QxwyLwqYQQrVVYXdHmewylODwtu/7+sz59hkq77SVSCvCbHsak9mpQwyy6B0mOxT5Na82f3pjO53lrqA7WrgJsKSnjs6VrMJUiOS6aQBuOg3a1pjoY4p3cpVx61CGRClt0sb+f/+89EuNdAlVBbj7mLy0/XwXsgI3HY3HSlcfx6fOzqKkMEEcicSSitcbFxcDA9JhYlsmJlx3DWTeeSp9hvSLwiYQQrbW1qgy3HafZuVrzzrof8Rgml896meom2rcZKBTg7PWDxGdYnNZrKJkxCRyXOYARPTKb7ZMuuk6Hk2OlVC/gBeAgwAWe1Fo/qJTqAbwO9AHWAxdorUs6Op8Qu5u3dvMeifHuHK0pKKts85g1IZvZK9dLcrwfm/fxwibfK9m+s1VjWF6LPsN7c/bkUxk5IYc37nuPgo1FHNQnlaSDElm9YB1KKY698EjO+93pJKXJKYlCdLWg43DB588T0m677n97/WLe3rAEu5n7XTSJ3ihCbu1mO49hYqC4cdhR/CrnyPaGLjpROFaObeB3WusFSqk4YL5S6lPgCuBzrfXdSqk/AX8C/hiG+YSo91buEmoaSYw7KiFKSir2Z67Tvl+MuxiGIik9gVHHDUMpxTEXjOeYC8aHKbrw21lURu6MH3Adl0NOHEFyhvRWFQemT/JXsDNY0+77bTQtbWLxGRa/zjmS/vEp5BZuJM7r57ReOWTGyBfkfUWHk2Ot9VZga91flyullgFZwJnAsXWXPQ/MQpJjEWZl1TWteQLeJlFeD+ceNjzMo4ruxPSYjW62aw1/jI+UrGTu+WRKtz/IQ2vNi3dM4/V73sG0TDTg2g6nXDORGx64stvHL0S4zS3Y0K464bZQCs7MPphkfwzHZPRv+QbR7YT1J6NSqg8wGpgLpNclzrsS6LRwziUEQEZiePsQR3k8HDukL2P7S13o/uyESyY0+V5zNYBRcX7+8fHtPLPsAdJ6d/+DYT576Sum3fsewZoQ1RU11FTUEKwJMf2ZL3jz/g+6OjwhOl2iNwqzQ8d2NM9UirsPO41kvxwLvS8LW3KslIoF3gR+o7Uua+n63e67TimVq5TKLSwsDFc44gBhGh37Iec1Tcb1701mYjzDe6bzZfZKGwAAIABJREFU13NO4J8/P1U2Seznbv7vL+k3MrvB6/Epcfiim+456vF6OPioof+fvfsOj6pKHzj+PffeaemdhN5LaEoTFRBhFQuKqGt3ravrqott3V3buruu5ae7ylrWtaxd194bdqkiHQm9k0BIAmkzmXbv/f0RiIRkkpkwgQDv53l8JPeee+6ZEDLvnHvO+7bKz0dNdQ1lW3dGVWVvb4GaAEVrt+GtqL/G/uW/vYXfF2jY3hfgf/e/h2Xt2/ISIQ42k7sOjPvTxt10FP8dfR6ndZFsNAe7uGSrUEo5qA2MX7Ft+51dh4uVUnm2bW9VSuUB2xu71rbtp4CnAIYNGyY1VUVMyqpaXtPeoesc2aU9z155VhxHJA4Gmqbxn4UPsXT6ct5+5CPMkMmJl47lmEnDOSf3SvzehgGl0hRHjBsQ97GUbClj6jVPMf+LJWi6hsvj5PzbJnP2jac1G4SHgiGe+cPLfPz0VygFZthixMlHcuNTV5OalcLWdcURr/VV1VBTVUNiqsxwicNHbkIyShFVRppoeXQHmlJMPfoMRuV1j1/H4oCJR7YKBTwLLLdt+597nPoAuAS4f9f/39/XewmxJ18wxLcr1sd8naFp6JpiePeO/ON8KcZwOBs4uh8DR/erd+yyv1/Akze9QGCvGVeX28nFd/0yrvevLvdy3Yg/Ul5SWbdJMFgT5IW73qCytIor7r2wyevvu3Aqcz6aTyjwc0qpme/PZfXCdTy/8l8kpSVStaPxfK5KwbaNJeR2QQJkcdgo8/twaUaLyz3vzaXpXN9/FJf2HoFLl+y4h4p4LKs4FrgYGKeUWrTrv1OoDYpPUEqtBk7Y9bUQcfPlT6tjXlZhaBq3n348H9x4Cf+57EySpNCH2MvEq07gN/+8hJTMJNyJLpweJ13yO/LAl3fFPUfxJ898hbfC1yB7RsAX4J1HPqa6PHIqws0rC5n9Yf3AGAAbtm8s5cN/T2Pi1SfgdDsaXKuUwgyZ3DT6Ls7J+zX3XTQVX1VNXF6TEG1ZpjsBswU5jiNxaLoExoegeGSrmAERV7eP39f+hYiktNpHMIYCHwAPXziRcfmye1g0beJVJ3Dy5eMoWrsNl8fZapvvZrwzh0BN4zvnDafBspkrOOrUoY2eX/jVT4RDjRchAHhn6sc8u+xhFn61lA0FW/BX16avUprCtmxsm7qAePrbc9i6rpipM/8u6+3FIS3BcDKxcz4fblpG0GpZxpo9XdbnKAmMD0GSx0cctHq1y8Tp0KNu3zkzVQJjETXd0OnUp0OrZqUwnE2/qYaCYRZ8tZSCOasabNQL+oNNrpss3bIDl8fFIzPu4eI7zyY9J7UuMG5wn0CY9Us3sXT68ha9DiEOJncPnUD/9FwSjIZPVWKhobis9/A4jUq0JfJxRxy0junVhTSPB38w3GwpUJeh8/ezJ+ynkQkRnRN/NZbV89c1ugEwWBPk3gsewel2YlkWLo+LW1+4juETjgAg/9g+TfZthk0+fvoLOvTM48W/vEHA13RuV78vwOJvlzFoTH7LX5AQB4EEw8mb4y/hx5LN3DznfYpqIifYcusG/ghloodmdyTV6WmtYYoDSGaOxUFL1zSe+/XZdMxIJcHpwO0wSHQ5SE/wcNLAXqR63CQ4a/MWv3LNeQzp2uFAD1mIesZdMIr2PXMbrAveXbAjFAjjrfBRU+WnfHsFfznrQdYu3gDAzm3lzfb/7xue56+//EezgTHUZvAI+lu3OIIQbYVSihE5nfnDEeNJ0BufQc50JTD79Cl0T87EvcfSCaemk+pwc99w2dB9qFJ2HBem76thw4bZ8+bNO9DDEAcZ27aZv6GQ9SU7yU1N5phendGl8pc4SNR4/fzjyn/z/ZuzG13ysCelKUadeRR3vXEz370xiwcvezzimuWWcLgcXHDbZC66M75ZOYRoq0zL4pqZbzGreAM1uzJYOJSGQ9d5/rgLGJrVEW8oyOvrFvL2+iUELZNfdOjNZb2Hk+NJPsCjF/tKKTXftu1hDY5LcCyEEAfO16/N4L4Lp0bdPiM3jdeLnmbHtp1c1O1aQoH4pKTaTWmKK+69gHNvPSOu/QrRVlm2zYurf+TNdYsJWGHG5Hbnst5H0Skp7UAPTbSySMGxTK8JIcQB9PBVT8bUPjEtAYCM3HROvPQ4XAnxTUdoWzbP3vYqnz77VVz7FaIt2uar5JdfvcCDS76h0FdBkbeSgvJiPIZsyTqcSXAshBAHSOHarY1uxovE4XLg8jiZcuztPHHDc5x902mcdeOp6M7IWVvcic4mS2I3xrZsHp/yHDVef0zXCXEwCVsW5379Ikt3bMVvhqkKBQhYYRaWFnL+1y83u9FbHLokOBZCiAPEXxV98Kk7dMKhMGsWbqBg9io+/Pfn/ObIWxlwbF9eL3yadl2yG6SGc3mc3PLstdzw5FVk5qXjdDswnAY9h3RrNo2cbmgs/HJpi16XEAeDr4pWsTNQg2nXL8ITti2Ka6qYvm3dARqZONDkuYEQQhwgXQZ0RtMUVoSNeIbTIDkjEYfLSVlhWb0Ne+GQSThk8rdzH+at4md4cuGDvPy3N5n2wncEfAF6HtmNy+45nyOOHwDAuAtGs2NbOU63g5SMZP444W/M/3JJ5FzJNnHd7CdEWzO/ZAvecOM/495wkAWlWzguT3LjH45k5lgIIQ4Qw9A59TcnRjyvaYrqnV7KinZghq2I7eZ+upCktER+849Leaf0OT72vcrUmX+vC4xr+9LIap9BSkbtDvs/vTKF9JzUiH2GgmEGju5b97W30ifLLMQhJc3lwdFEZqP5pVv242hEWyLBsRBCHEDXP3oFJ10xHqU1LNsc9IcIBcKYochlbs2wSWVpVcz3Tc1K4dnlj5CUntjgnCvBybgLRpHVIZP5XyzmygE3clbW5UxOv5QbRt/JmkXrY76fEG3N6V36ozURBi0o3czissL9OCLRVkhwLIQQB5BSipueupoPKl/ivs/u4Je3nI7hin7FW7AmyGfPfU15SQUlW8rYvrmUaFN0Jqcl8Z9FD3Hk+IE4XAaeJDfuRBeTrj2JG/9zNT9+vog/n/F/bCzYghk2McMmy2au4MYxd7GxYHNLX7IQbUI7TzK9UrIing9ZFq+tXbgfRyTaCllzLIQQB4DfF+DFu9/gk6e/xFvhI6dzFmfffBqfP/c14UDj5WojWfnjWs7veDWaroFSZOSmcf1jVzLi5CObvTanUxb/98VdVJRWUrWjmuxOmbg8Lmzb5vHf/bfRdccBb4Dn73ydP799S0zjFKKtsGybK79/nZWV2yO3wabIF7m0tDh0SREQIYTYz8ywyQ2j7mDtko2E/D8X8dAMDcu0Im+Si4HL4+SvH/yRIeMHtuj68pIKLuj8G0IRAnV3gov3Kl5g/rQlbF5RSFbHTI4+bShOd2xp44Q4EL7duobrZ72DL9x0ER1Dadw/YiKTu7bs35Fo2yIVAZGZYyGE2M/mfDSfjQVb6gXGAFYTm+5iFagJ8tTvX+TJBQ+26Hrbsgk3sdY5FAoxKfVXdW2cbgeapvG3D/7IwNH9WnRPIfaXdzcsbTYwhtq0bnfO+4QuSekMyeq4H0Ym2gJZcyyEEPvZN6/PpKa69TM/rFuykVCwZeWlX/rrm03OYJshi4AviBkyMUMmNVV+vBU+bj/1XirLYt8gKMT+FDCjX7rkN8M8uXxWK45GtDUSHAshxH5mR8hrHG+apmrXIceoutzLZ//9OuqNfXuyTIvPn/8m5uuE2J96pWSjq4YZYhpjAwU7i1t3QKJNkeBYCCH2A9u2WfTNT/ztnH+wfulGDEfkks970/TYg1ylFENPPAJdj/4+u61bsrHFAXygJshPM1e26Foh9odHfvqO/678ATOGD39Z7oYpD8WhS9YcCyFEK9ud+eHz57/B7w1EbOf0OMnpnEXxhhLC4TC2uevNW6mf/xwFTdfwJLm55uFLWzTe6nJvk+uNm/PjpwtYu3gDPQZ3bXEfQuyLqlCA5TuLSXQ4yU9rh9o1S/xV4Wr+s3w2QSv6n2+P7uCy3iNaa6iiDZLgWAghWtmS7wqaDYxTs1I4/0+TOfOGU7lp7F0UzF6FvWvRbzQb9TRNkZCagEJxzBnDufCOs8jr1q5F4928Yt8KH4QCYe6/+FGeXvKPfepHiFhZts39i7/ilTXzcWg6IctEoch2J1ERqqEq6CfSvyaXptf1EbItFOAxHIxr34vTuvTfb69BHHgSHAshRCv74InPCPgiB8ZKVxwxrj9n3TiRLauKWPXj2pgyVzicBsNPPpK/vHtrPIZLOGSi6QorhtnqvRWt3cbW9cUtDtCFaIkHl3zNq2sW4DfD+PfYdLfJu7PZawOWiY5CKVBA9+RM7h4ygaPbda2beRaHB1lzLIQQraxs606aWt5omzbT3/6B4o3bWTVvLXoM65HdiS66DerM75+7Ng4jrTX8pCPQjX2bO9ENDW+5L04jEqJ53lCQF1fPo8ZsWYYWABObsF37zKbIV0mhr0IC48OQzBwLIUQrU1rz8xCWaXHtiD/xm39cEvWbsTvRxb2f3M6AUX2jvsa2bWa8O5fXH3iPbeuLyemSzbm/n8SYXx5d10fvoT3QDY1Q5MnuZpkhk4592re8AyFitLayFEPFb86vxgxx94LPuXvB5zg1nYmd+zNlwGiy3Elxu4domyQ4FkKIVuSt8LJy7pqo2lbvrGbOR/PRogimoTbQzevRjrf++SE7iyvoO6Inx0wajuGI/Kv92T+9wnuPf0Zg1/rnitIqHrr8CZbNWslvH7kMAF9VDUF/y2ffAEaeNgx3gmuf+hAiFkkOV0wZKKKxe2mG3wzzxrpFfFm4ig8nXCnZKw5xsqxCCCFa0eLvCnC4opuHMMMWM9+by22v3YArwdVs+raM3HQu6Xkdz93xP9586AMeuuIJLu5xLds2bG+0fdHabbz7r0/qAuPd/L4AHz/1BZt2bcTTdI19eZKs6Rq/feTSlncgRAt0S86gnSc5pmv0GGaaw7bFzqCPp1bMrnd8XWUZf1/4BVdPf4NHf5pOSU11TGMQbY8Ex0II0YpiXa9ohkyOHDeAJxc+yClXjiezfTqa3rAPh9tBaWEZQX+IUKB2lremys+Oop3cMfG+Rgt4TH/7Byyz8Y1+Ztjiuzdrq4C5E1zkH90npnHv5vQ4+MXFY8jMy2jR9UK0lFKKh0dOIsFwNN8WcOsOTuzQO6ZAKGRZfLDxp7qvX1kzn9OmPcOLq+fxZdFq/r18FuM+foLZxRtiHr9oOyQ4FkKIVjR4bH/MGHIGd+yTh+Ew6Ngrjyn/vorXNv+H8287E5fHSUKKh4QUD4mpCfQZ1gOzkYwWlmVTvLGEtYs2NDgXqAkQDjc+FjNs4t+jpPV1j16BJ8mN0n4OzKOJ88dfMJob/3N18w2FaAWDMtvzyYSraO5H9fi8nrw49gL6pedGTO0WSdiy+KZoDQ8s/pq/LpiG3wwTtmt7CVhhfGaI38x4M6YS1aJtkeBYCCFaUUKyh4vvPgdXgrPZtq4EJ1fce2G9Y0opLv3Leby+9WnufONm/vreH3iz+BnCwXDEWWBN19i67udyt9s2bOe7N2fjSXTjirAO2JPk5ohxA+u+7j6oC4/NvZ/RZ43Ek1wbkJ94yVj6HtUr4vh7HtmVm56+psk1z0K0tk5JaRzTrmvE8ykON/cOP5UB6bk8tXx2xHaN0VD4zRBTZr/L0ytm1wXFe7OBr4pWx9S3aDvkN5gQQrSyc38/iewOGTz/59fZurYYV4KLviN6smbh+royzUpT/Oafl3DsGY1X4kpI9uDyOPn4qS949b53duUi1hoNkC3TIq9HOwI1Ae6/6FHmfroA3aETDpqEgqHaZ8p7rLownAZ5Pdox9IRB9frp3LcDd75+U71jK+et5eaxf26Qt9mV4OTaqZe34LsjRPzdMuh45n/9Ur1cx7tVhvwc88G/6JeaQ3U4tpQsNjY1UcwIhyyT7bL2+KClGluXdqAMGzbMnjdv3oEehhBCtBrLsuqyUYRDYVYvWA9AryHdIs642rbNY9c/y7TnvyVQE8C2QTO0iIVCcjpn8dgP93HD6DspWrMt4lgMp4FSipETh3DT09eQlBbdDvyCOat44obnWLNr7N0GduKahy9j0Jj8qK4XYn+YV7KZX09/ncp9yUm4i64UXZMyWFtVFlV7heKsboO47YjxpDo9Lb5vVSjAexuW8kPJJrJcCZzT/Qjy03Nb3J+oTyk137btYQ2OS3AshBBt27xpi/nLWQ82WX56T64EF+4kFxXbK5ts53A7uP+z2xk0pmWlcWuqa7Dt2lltIdqamnCIIe/+g6AV/Zr/xjiUxu8GjOHrolUsLCuK+jqn0kh3J/L+CZeT7YktN/K6yjIe+ek7PtuyAuza4iQaCqeuc2mvEfx+8PGxvgzRiEjBsaw5FkKINu79xz6NOjCG2s11VaXNP9I1QyZfvTKjxePyJHkkMBZtVnmwJi79OHWD7skZ/LQz8lOYxgRtizK/l3sXfRnTddO2rOC0ac/w8eblmLaNuWsNlIWN3wzzwuofmbN9Y0x9ithIcCyEEG1cWdGOmNqHQ2Esq/k9+JZp1du4J8ShJNOViBaH0s8ew8HAjPYx5UTeLWxbfLplBVaUT+l94SA3zfmg0bXSu/nNEC+s+jHmsYjoSXAshBBtXN+jeqEbevQXRLlaznAa9BrSvWWDEqKNc+o6F/YYGjGtm64ULl3HodX/t6XtuiLRcJLu9PDicReQ7U5qcaBtWhahKJd2fFm4utn72EChr6JFYxHRkWwVQgjRxp15w0SmvfAdZoQcxS2lGzqTrp0Q1z6FaEtuGXQ8Kyu2M6N4fb3jGoo/Df4FEzr24flVPzJ7+wbSXR7O6DIQXzjEdn8VPVOymdCxDy69NlS6sMdQXlozr8Gsrls3SHG42e5vfClTx6S0uj6aUx70NZsfWVeKAWmyKa81SXAshBBtXMdeefz57Vv4+3kPE/QHCQUiv3mmZCXjq/ARbqLwiDvJhUJx55s3k9M5uzWGLESb4NR1Xhh7Act2bOO51XPZ6q1kcGYeF/UcRvvEVABuO/IXUfV186CxbKzeyffb1mLZtRvkLGx+1XM4R2S256Yf3m8QOHt0B7cMHBv1ePun5WJGyJ28m0PTuaxP4ykfRXxItgohhDhIhIIh3p36Cc/f9b9GA2RXgosJlx3PtBe+rVftbk8Dju3LpOtO4ujTh+HyNF4QRAgR2eqKEmYUr8ehNMZ36E1eQgoA/1u7kPv22HxnA38YPI4Lew6Nql/Tsnh02XQeLWh6k+zkLgPI9iQxbcsqbGxO7tiXy/ocRZY7ulSM4meSyk0IIQ4Btm3zu2NuZ+2i9fUCZN3QyemcxdRZ93BR198S9IcaXOtKcPHQ13+m74jIVe6EELEr83t5Y91ilu4swqM7GNe+F7/o0Dvq5RS2bXPdrHf4duuaJjfjNcap6SQ5XLx/wuV1s+EiOpLKTQghDgFKKe7//A5GnDIEh8tBQooHp9vBoOPymTrzHtJz0rjm4UsblKt2J7oYd8EoCYyFiLMftm9k7MeP81jBdD7fspKPNy/n1rkf8s76Jby1fjG/nfkWt8x5n5nF64k0IblkRxHfbV0bc2AMELRMygM1/G3hF/v6UsQuMnMshBAHqfKSCoo3lJDVMZPMvPR655ZOX85r97/Lxp82k9khg7NunMiYs0ei4pDaSghRK2CGOer9R6iKUIXPozuoMWuf4iQYDo7J6coTx56NrtWfm7xv0Zc8u/KHaBPNNMqhNJaefWuD7Bsiskgzx7IhTwghDlJp2amkZTf+GHXg6H4MHN1vP49IiMPLl4WrmsxhvDswBvCFQ8ws3sAb6xZxfs8h9dr5zfA+BcZQWyQkZJkSHMeBLKsQQgghhGiB4pqqqHMYQ22w/NyqufWOWbbNkh3Rl6WOpH1CKgmGs/mGolkSHAshhBBCtEDPlKyYZ2pLA956X39ZuIpV5SX7PJYzug7Y5z5ELVlWIYQQQgjRAqNyu5Pm9FATDmFFuTCiZ0oWULte+YHFX/PS6nlRXxuJU9NpnyCZKuJFZo6FEEIIIZqworyYTzcvZ0lZUb2ME5pSvHz8heQlpJBoOHFpOomGE4fScTYyo+zRHVyXPwrbtrni+9f539qF+xwYAxiaRpek9OYbiqjIzLEQQgghRCO2+iq5avobrK/aga40LCzaeZJ5ZvS5dE3OAKBzUjrfTryW2cUbWFNZSm5CMse2684f5n7AN0VrUaq25HPYsrll0FjG5PVgQekWFpUVErBiT922NwVkuBIYkd15n/sStSSVmxBCCCHEXkzL4hef/JtCXwXmHrGSAjLdiXw/8bpmi3ysr9rB3O0bcekGx7fvSarTA8DfF37Bf/famNcSiYaTRMPJq+MuptuuYF1ET1K5CSGEEEJEaXrxOsoCvnqBMdSWha4Jh/h083LO6DqwyT66JWc0CFr94RBvrV+8z+M7MrMDV/YZyfgOvSR9W5zJmmMhhBBCiF1s22ZW8QYeWzYDbzjYaBtvOMjCssIW9f/RpgKCZvTp3xrj1HQmdOjDSZ36SmDcCmTmWAghhBCC2hnhX337Kst2biXQTP7iimBNi+7xReFK/Pu41lihOF1St7UamTkWQgghhADuXfQlS6MIjAGmbVnFzOL1Md/DpTtivmZ3sKYrhVs3uHPIibTzJMfcj4iOzBwLIYQQ4rAXNE3e2bAk6op3ASvM/y3+mvdPvCKm+0zuOoBvtq7GFw4129atG9zQfwybvOWsqiihR3Iml/QeTp+0nJjuKWITl+BYKfVfYCKw3bbtAbuOZQCvA12BDcA5tm3vjMf9hBBCCCHiqTJUQ6wJvJbt3IZt2yilor7muLyeHJnZkfmlm/GbkZdX9E3N4feDj2dsXs/YBiX2Wbxmjp8HHgNe3OPYH4GvbNu+Xyn1x11f/yFO9xNCCCGEiJtUpwddU2BFf41D02MKjKG2cMizY87lhVU/8uLqeZQFvLh1B5muBI7K6cIlvYbRPSULLcZ+RfzEJTi2bft7pVTXvQ5PAsbu+vMLwLdIcCyEEEKINsih6ZzX/UheXD2PsN18hKwrxUkd+7b4Xlf2HcmVfUe26HrRulpzQ14727a3Auz6vyyQEUIIIUSbdcug4zmmXddm22nUzjTfOnhcq4/Jsiz8fj+WFcOUttgnB3xDnlLqKuAqgM6dpfShEEIIIQ4Ml27w3HHn89qa+dwx/7OI7c7vMYTfDRhNljupVcYRDocpKCjgs88+Y/ny5XXH8/PzmTBhAvn5+RjGAQ/hDllxKx+9a1nFR3tsyFsJjLVte6tSKg/41rbtPk31IeWjhRBCCHGg2bbNdTPfZlrhKix+jpN0FFMGjOHa/qNa7d6FhYVMnTqVkpISEhMTyczMRCmFbduUlZXh9XrJzs5mypQpdOjQodXGcTiIVD66NZdVfABcsuvPlwDvt+K9hBBCCCHiQinFo8eexX0jTqVnSiYpDhdHZLbnqTHntHpgfM899+Dz+ejSpQtZWVl1G/6UUmRlZdGlSxd8Ph/33HMPhYUtq9InmhaXmWOl1GvUbr7LAoqBPwPvAW8AnYFNwC9t297RVD8ycyyEEEKIw1E4HOa2227D5/ORlZXVbPvS0lISEhK49957ZYlFC0WaOY5XtorzI5waH4/+hRBCCCEOZQUFBZSUlNClS5eo2mdlZbFhwwYKCgoYNGhQK4/u8CIfNYQQQggh9pMt3nI+2lhAZcjPsOxOHJfbA13T+Oyzz0hMTIypr8TERD7//HMJjuNMgmMhhBBCiP3gsWUzeKJgBhY2Icvi5TXzyXYn8drxF7J8+fKYs3ZlZWVRUFCAZVloWmtuIzu8yHdSCCGEEKKVzSxez5PLZxGwTEK7chZ7w0G2eMv53fdvAcRcbW93+2AwGN/BHuYkOBZCCCGEaGVPr5hDjRlqcDxsWyyuKMYXDhJrkoTd7Z1OZ1zGKGpJcCyEEEII0co2VkVO2OVyOMjp1oWysrKY+iwtLSU/P1+WVMSZfDeFEEIIIVpZ1+TMiOeCpsmkUyfi9Xpj6tPr9TJhwoR9HZrYiwTHQgghhBCt7Nd9R+LRHQ2OG0pjSFYHxg4dQXZ2NqWlpVH1V1paSk5ODvn5+fEe6mFPgmMhhBBCiFZ2TLuuXJt/LC5Nx6npACQaTrokpTP16MkYhsGUKVMwTbPZALm0tBTTNJkyZYoUAGkFcamQFy8HW4U8vz9EVVUNaWmJOBz6gR6OEEIIIdq4Im8FH20uoCroZ2h2J8bk9kDbI0tFYWEhU6dOpaSkhISEhLoS0rZtU1paitfrJScnhylTptChQ4cD+EoOfq1aIe9wU13tZ+qj0/h++ko0TaFpikmnDeHyy8ZgGBIkCyGEEKKhimAN07etw7bhmHbdGJnTpUH6tg4dOnDvvfdSUFDA559/TkFBQd25/Px8JkyYQH5+vswYtyL5zsYoHDa5/oaXKCzcSThs1R1/9/35bN1WwV13TKK0tApd18jISDqAIxVCCCFEW/HuhqXcPu8TNBQhy8Sp63RMTOOlsReS5a5fGc8wDAYNGsSgQYOwLItgMIjT6ZSsFPuJBMfNCAbDzJq9mpLSKrp2ycbr9bN9e2W9wBggEAgzY+Yqzjnvcaqq/di2TYf26dx4wwQGDuh0gEYvhBBCiANt+c5i7pj3CQEzXHcsHLZYV1nGb2e+xRvjL4l4raZpuN3u/TFMsYsEx01YtHgjd9z1NrZdO2NsGDq2beP3N0ziDWCaFmU7quu+3rCxlFv/+DpTH76I3r1y99ewhRBCCNGGPLNyDiHLbHA8bFss27mN9VVldGsi1Vskpf5qgpZFnie5wfIM07LQlIq56p6Q4DiiHTu93HbHW/UC4VCo4Q92cwKBMM8+9z0P3HtOPIcnhBBCiIPEyooSzAgJEAylsaFqR0zB8aKyQu6Y9wlrK8vQlCLV6eG2I8YzsXPDXPEjAAAgAElEQVR/3lm/hH8tm85mbzke3cHZ3QZx86DjSXa44vVyDnkSHO+lqsrPRx8v5J335hMIND5DHKvFizfFpR8hhBBCHHw6J6WxvLy40XPecJAcT/R7lFaWb+eib16pV4raX1PFH+Z+xLTNK/lq62r8u5Zv1Jgh/rd2IbO3b+SDE6/ApUvYFw1Z2b2HktIqLrvyaV54aSZlZdXEK8udrsu3WQghhDhcXd77KBSNL2+wgceWzYy6r4d/+g6/2XDyzm+G+XjL8rrAeLeQbbGpeicfbSpocI1onERte3j0sWmUl/sIBsPNN46SriuOG9Mnbv0JIYQQ4uDSKSkNrYmlv18UrmRm8fqo+ppVvIFY5+6Clsnb65fEeNXhS4LjXYLBMHN+WIdlxa8oiq5rJCW5ueyS0XHrUwghhBAHlx1+Hy4t8pIGG3hq+eyo+nJoLaunUOKvbr6RACQ4rlPjD0V44NEyHo+DU04axFNPXk52dkocexZCCCHEwaRTUhoh22qyzfqqHVH1dWrnfAwVe/iW6fKwzVcZ83WHIwmOd0lJdpOUHL88gpZlc8mvRpGdlRy3PoUQQghx8ElyuJjYqV+TbTonpUfV1/X5o0hzeTBinNJbunMb4z5+gou/fYXSXbPINeEQb65bxG9mvMlNc95n5rb12PHacHUQk+B4F6UUl/5qFG5Xw8cehqERa5pA27b5fNrSOI1OCCGEEAeze4dPJNOV0Og5j+7g131HRtVPuiuB0zv3R8VYLc9vhglYJnOKN3L6tP+ypbqcEz55kr8unMYXhat4f+NP/GbGm1wz8y1Mq+lZ7kOdBMd7mHjqEVxw/tG4XAaJCU4SEpx4PE5OOWVwzJkrgkGTwsKdrTNQIYQQQhxUnLrOJyf9mo6Jqbh2rRs2lIZLM7iszwiOy+sRVT9TZr/Lq2sXNFpUJBoWNsU1VYz/5N8U11ThC/+c+cJnhpixbT1vrFvUor4PFaotTZ8PGzbMnjdv3oEeBjU1QZYVFKJpigH9O/Lkf77mvQ8WxNSHriv69MnjkotGMXRoN7SmtqkKIYQQ4rAQtiy+3bqGuds3kexwcVqX/nRNzmi0rWXbvLBqLk+v/IGSmmrSnG4qQwHCzaxf3lc9kjOZdspvWvUebYFSar5t28P2Pi7ZoBvh8TgZNrQbACUllfw4L7r0KnsyTZuCgiLu/tu7dO+ew0MPnIfL5Yj3UIUQQghxEDE0jV906M0vOvRutu3Nc97ni8KV1OzKXbwjWBP1fXSlIlbla86OgK9F1x0qZFlFE9ZvKOHyXz9L0dbyFvdRUxNi9ept/Pe57+M4MiGEiE2x9xPmbDmZrzfkM33TUazd8TCm5T/QwxLisBc0TYp8lfjCwXrHV5QXM22PwLg5Csh0JqArjSTDyaTOA3C2IKsFQM/UrBZdd6iQmeMmPPB/H+P1BiKeNwyNzp0zueTiUaxeU8zrb8whFGr4qCMYNPnok0VcfdU4WV4hhNjvNpQ/yYaKJ7Hs2lmnkFXO5srn2OmfzZC8V9GUvBUIsb+FLYt/Lv2Wl9fMx7JtTNviFx1689ehJ5HuSuDTTQ2r3TXFozt4cvQvGZLVse5Yz9QsHvnpe4IxrE/26A6uyx8V02s51MhvxAhKS6tYv6GkyTaapnH82H6Ul/vo0T2n0cB4t0AgTCgUlqUVQoioWHaQnf65WFYNKa4jcBnZLeonGN7JhvLHsag/K2URwBtaTanvK3ISJ8RjyEKIGNw690M+37KiXgD8ReEqCnYW8+lJV/HplhVR96WA4dmdGZCeyyeblzNz23qSHS4mdx1I37Qcfj39TcxG1ilrKHRNw1AamlKEbYtbBx/PqNzu8XiJBy0JjiPw+YIYhkYoFPnTVjAY5tn/fo+uK0yz6XU9SUlunE75dgshmrfd+znLS2/blW/UxCZEsmsQA7Mfw2VE97hzR81M1ux8iOrgcohQbNa0fWzzfhBTcGzbNgFzKwAuPQ8Va55LIQSbqnfy2eYVBKz6M8Mhy2S7v4rX1i5gkzf6JZ2aUvRNzeHET//DjoAPbziIrhQvrZnHed2P5IljzuK3s96qtwZZV4pzuh/BFb2P4pmVc5hVvIGgZTJr2wYGZbTniMwOAJiWxfTidRR5K+iSnMHROV2xbZvvtq3lq8LVODWdUzvnMzSr4yHz+0CitQjy8tKi/ktuLjB2uQzOPeeoQ+aHRggRP5YdpKjqbYqqXiNse0ly9KasZgb2XjO9lYGFzNwyhvysB8hNOq3RvkJmJZWBRVT4F7Ox8mlsIi8L2822o39sW+b7jpU7/krQrH2q5tSy6J42hazEcRiaFDwSIlqzijegRYgJfOEQL6+ehxVDRgrTtnlu9VxM26oLgE3bxjTDvLj6R6YVrkRDYe7xQVmhWFpWxL+WTeeLwlXUmLUp3YprqphevI6/DzuVPqnZXPr9a9SEQ5i2ha40kh0uEh0utvkq8YaDKODN9YsZlduNx485C31X/uWdAR8lfi/tE1JIcrha+J06MCQ4jsDh0LngvKN56ZWZBALRv3k01s/YMf0495dHNdnO7w/x/fQVrF9fSk5OCuPH5ZOS4mnxfYUQbZ9lB1mw9WKqQyvr1gP7w1uauMJkRdntmHYNRVWvUx1cgabc5Caejq00tlW/icKBaXuJNFu8J00lkJN4cpNtAuESQlYZ3uBGCkpvxubnnKh+s5CCsluhTCfNNYy+WX8jwdElmpcuxGHNoelNFhfbUL0TK4p/w3uKtK7YAooaKRsdti1WV5WxqrK03rU2tQVDbp/3MU6lUxmu/yHbGw5CTVW99jVmiBnb1vHi6h85vcsA/jD3I2YWr8eh6YQti9M65/OXoSfhNg6OpaWS5zgCy7J58qmveefdeVhWy75HhqFx9uThXHzxsXg8zrrjm7fsYOnSzbjdDo4a0YOtW8u5+dbXCIdNampCuHZV6bvz9kkcc3SvuLweIUTbs6XyNdbsfKAuMI6OojbRUMsKAPzciwO30YER7T9A1xrO6vjDWykouZXKwCJQehRj1DC0JI5q/zEuI2efxibEoao6GOCBJV/z+ZbllAVi+XffvH1J3dYYl6ZjEznobkyeJxmnbrClurzeLLVLNxie1YkXxl4Qt/HFQ6Q8xxIcR/DCizN4/Y05+Pdh1hjA7Taw7drS1JPPGMpf73mfefPXoymF0hSWaaE08Psb3sflMnjp+avJypLHlUIciuYWTqI6FP2mm3hROMlJPIneGbfj0NMAqAkXUhVYiqElk+wcwA9FEwmZZdgxBOEKB51SLqFnxu9ba+hCHLSW7iji7C9faJUCHi5Nx8ImFMeyz5pSWC2IEQ2lNfoa3brBm+MvIT89Nx7DiwspAhKDYDDMG2/N3efAGH4Oep9/cTqz56xmxcptBIPR9WvbNp9+toSLLzp2n8chhGh7wrZ3v95P4aB90jn0yvwjmqp9mmVaAQpKf0+Z7xuUqn3kaWNi21ZMgXHtdSFKfF9IcCzEXmrCIc7/+uUmA+P2CSmU+r0xzdS6dQOHpnPPsJP5aNNyvilaHVPwbSgNXWkNNgYCLQqMgYj3Ny2LH7ZvalPBcSRSBKQRPy3b0mwAm5joQtcVhhHdJrtAIMySpc33u6dg0OSHuWtjukYIcXAIW9U4tcz9eEcNQ0uka9o1dYExwIqy2ynzfYtFENP2YtpeLNvfYENg1HdRB8eaQiH2p483FeA3QxHPG0oj0XASijIwVkC2O5GnR53D3Ek3MrFzfx486jR6p0af8tGjOziz60CSHM6ImwPjybRtXPrBMSd7cIxyP/ph7lru/uu7mGbkT165uam8+tI17NhRzcefLGblqq0YukYwaDJn7tq4jmfV6m1c/dvneXTqRSQluuPatxDiwPCHtzFv69mEzIabZFqDwiDTM4ZeGbfXy5ccNMvY7v28xYFww/s4yE06My59CXEoWVC6pcntdWHbYk1laZNt9F3ZJhINJwmGg9fG/YpuyRl155MdLj448Qp++dULLCwrbHI8eQkp3DJwLJO6DGCzt5wps95lWXlxo7mQ48XC5oQoSma3BYd9cDznhzW8/MostmzZQXpGIkVF5U3mNna5DE4/7UgAMjKS6i15ME2L0874Z6Prh1sqHLYoKtrJM89+xw2/k0T9QhwKlpfeRtAso3YfeWtS9Mu8n3ZJpzY6o+sNrkbhjFtw7NSz6ZB8blz6EuJQku1JQtF0DplI5xyazqmd+jEooz1lAS9909pxQofeODS9QVulFM+NOY+zvnyetVVljfbn1g0+nfBrkp21E26dk9J598TLGf7uw+wI+mJ7YTFIMpxke5Jarf94OqyD41dfm10vVVtllb/J9rqu6N4thzPPqL92u7S0isf//RUzZ61qcsa5pUIhk8+nLWXK9SdKrmQhDnIhs4Jy/1xaPzAGsNnqfYe85DMaPevQ07GIz455Q6Uwov37GNrB8eYnxP50VrdBPLVidkzriaF2o92dQ07k/B5Dor4m2enmk5OuYtK0Z1lTWVpvDbBHd3DjgOPqAuM9BRtZdxwvhtL4Va/hrdZ/vB22a4537PTy4sszYsph3KdPHo/888J6le4qK2v4zbXPM2PmSsJhi9ZK/hEMmoTD++PNVAjRmkJWBUrtv3mJ3QU7GpNg9KK5IN2ptUNXic3eJy/5LBx6SqzDE+Kw0Dkpnd8POh5nI7O9Oe7IHygdmk77hNSY72doGu+ccBnX9x9NjjsJl27QL60dDx89iSv6Nl53YfCuinjx5tR0chOSuTLCfduiw3bmeNas1TEFsm63g3Fj83E46v9gv/fBAqqrA81WydtXmZmJDe4thDj4uI1cFPvrCZBGsrN/5NOq+cmBoFUMNL/JLpoAWojD2eV9jmJEdmeeXzWXlRUldElK59r8URT6Krhxznv4wo1t2FOMzGlZYR2XbnBd/1Fc139UVO1vGDCG+aWb8Zv7PoOc7HBhKA2nbnBm14H8uu9IUp0HT2GzwzY4njN3bZNri/emaYoTTxzQ4Pi33y1v9WwSbpeDX10U3Q+3EKJt05STjim/YlPFc1GVd46yVxR6vep1u+/VJfXKiFcpHDi0NELWzmb6j7zLvvY+HjI98jtKiOYMyMjjoZGT6h3rk5bDyJwuzC7eWFfCWQFu3cH/jZi43zI8DMnqyL+OnsyffvwYbzjY4iDZozu4/Yhf8MvuR8R5hPvPYbmswusNMHfuupiu+fOdZzSaLaIla4BdLoPhw7o1OxPscjlwOnXOOnMYp54yOOb7CCHapk7JlzRZOjZ2NpryoCkXmkpAV4noKoH8rAdJcvaNeJVSis6pV8A+zGRrOElxDiTFdfC+EQpxIGlK8eSxv+QvQ0+if1oueQkpnNixD/8bdzETOkX+99saxnfozZxJN/DQUac3ugQkGv3Tczmr28EdsxyWM8fzF2zA6dQJh6ObOU5MdHHkEY0/1hg/Lp8XX5oZ9eyxw6Ez5MiujBzZg/kLNjTZ9obfncjIkT1JTTl4HkUIIZq31fsO+xKQNmRj2TUcmfsSNeENGCqZDM9odM2FL7QBf3grHkdnPEbDNYUdky9i7c5/0vQ++sZpyk1u4hn0yviTbBYWYh/omsZZ3QZxVrdBB3ooaEpxcqd+PLV8Nkt2bo35+hXlxYQss27GO2SZbPFWkGA4aOc5OCr+HpbBsWXF9iZw8smDMIzGP0GdPvFIPvhwIWVl1VFlqrAsi0WLN7Jw4cYmx6EUjD2uLy6XJNQX4lBT4vsCy246O06slNJxG+1Ic9emmvSHt7Jg2+/whlah4cAiSKprCAOyH8ahp9ddV1rzDRpOLGIdj84xHb/Gqe/PQiZCiP3lyr4jmTL73Zg/Nlu2zYxt6xjXvhfPr/qRfy2bTtgyCdsWvVKyeWDERPqlt2uVMcfLYbms4ojBnaNeb6zrGqeeFPnxQFKSmycfv5QTTxhQL4tFJKZpU1MTwh9oeg2fYeh8/U0BdmulvxBCHDC6in9BHw0HmytfYmXZXyj2fsb8redSFfwJy/YTtquw7ADl/h9ZuO3Ser9XKv1LWhAYg8foKIGxEIewJIeLRMPZfMO9hG2LnYEanlk5h38s/ZbKkB+fGSJomSwr38a5X7/IFm95K4w4fg7L4DgtLYGTJkT36CIhwUnHjhlNtklLS+D3N5/CZx/fwhef3RpVkNycUMjkn498zumTH+bq3z7Hhx8tlDLSQhwi8pLOQlORl0upKLJD7C1s+9hc+TyFVa9SUPJ7AuZ29k7TZhOmJryJ8sCPdcecehYasb0BaspNz4w/xDxGIcTBY0hWR0ItqJhnY9M7NZtHl82o22C4p4AZ5j/LZ8djiK3msAyOAXp0z8Ywmn75bpeDyy4dja5H/23SNBW3INY0LbzeIKtXF/PvJ7/mxptflQBZiENATuLJJBo9I5xV6CqB2Fe9mewOhmsr3jX+1Mm0A1QGFtV9nZt0GpF3ByoSHb1xaBloyo2mPDj1bPpl3kd2wvgYxyeEOJgkO1xc1fdoPHr9D+vN7S4YmJ4HCqwIgXXYtviqcFWcRtk6Dss1xwC+mlCzeY5POWUwk06LvioN1O7+zs5OpqSkah9G15A/EGLd+u189PEizpw8rPkLhBBtlqYc5CWfRfWOFQ3Sr9VurvOjYWAR/w/DmnJgqJ83xbiMdvRMv401O+/DtkPYmICOphz0ybibvOTJ2LaNP7wFGxOP0RmlDtt5FSEOK1P6jybd6eGxghl4QwEsbLomZbDVV4U3HGjwEbxPajbPjDmXJ5fPoqaJVHClAR+WbaO10Y28h+1vuAH9OzQ7I7xjR3WLdmCff95I3K2wkS4QCPPhx4uabyiEaPOqgssaCYxrWYRoSfaIqNgW2YkT6h3qmHIew/JeJzdpMqmuIbRPOotheW+RlzwZqP3Q73F0IsHRVQJjIQ4jSiku6T2cHybdwNsnXEa6M4Et3nKqdwXGCtCVxuCM9jw56mw+OekqvOEQL6z6scl+NWBm8fr98RJa5LCdOe6f34GsrCSKiiIvCi8tbdns76TThlBQUMSXXy1r6fAi8nnjVTRACHEgufR2KByNBsiactMh6RwKq1/HsoPULpnYVwpNueiZ/kecesN9FEnOvvTL+nsc7iOEONRoSvHPpd9SFvBi7vHY3aa2VPXYvJ4ckdGBleXbmbZlZbMf7RWKDVU7GJ3bvVXH3VKH7RSAUoo7/jQJTWt8ZtgwdPr2bd/iviecOJAET+y7PJuiaYrBgzrFtU8hRGxs22Rz5UvM2jKebzcOZk7hKWyr/iDmzDJ5SZObmIW16JZ+HSPaf0C66+gm+1EYNL0K0MCjdyE74QSObPcCHVPOj2mcQghRHQowfdv6eoHxbgEzzBPLZzDmo8c456sX+Ney6QStpj/QO3SdjomprTXcfXbYzhwD9OrVjk4dM9i4qazBOcPQmDxpaIv7zs1NxbQi7/JUCmz75/9Hw+HQOf/8pt8ohRDxVRVcwQ7fTCqDS/GF1uIPb8W0a2DXemBfaC0ryu6iOriSnhm/j7pfQ0uiQ/KFbKl8GTCxMVEYKGWQn/UghpaMoSUTspsu7ZzlGY/LyGVL1QsRWoTJTZpMt/Rroh6bEELsqToUQFcqYiH50K54p7mgeDe3bjA6t0ecRhd/h21wHAqZ3PrH1yneXlnvuFLgdjv5y58nk5eX1uL+O7RPp2fPdqxYUYRp1o9+nU6DUcf2oqSkCodDZ8nSzYTDjQfShqHhcOgkJrr50x8m0q1rdovHJISoL2TuxLT9tUsc9prFDVtelmy/hgr/ImyaXs5k2TVsqXqJjikX4jaafuJkWgFWlv2Z7d6PUcoFgKGl4DY6keoaTMeUi0lw1FbkrAltwRtcEbEvhYM0zzC0ZvImF1W/LsGxEKLFstxJODQdfxOb7KKhgCTDxXPHnY+htd3FC60eHCulTgKmAjrwjG3b97f2PaPxzrvzWLGyiECg/l+0UooB/TswbGi3fb7H3XdOZspNL7Nzp4+amiCGoaEpxUUXHM224kpWrtqGUkSsrOdyGdxy0yl07pxBzx7tpDyrEHHiDa5hRdkdVAZ+AjQUGpoysLFJcQ2ie9rv2Fz5PBX+hbvSokXBhhLfV3RKubjJZstKbmRHzQwsgmDX9h2ywhBWHJn7HIaWVNe2tOZran91Nj4bY2PSLvFUtlS+2uQ9w1Zlk+eFEKIphqYxsVM+r61bGPU1CjA0HaemEzDDpDjdXNX3aC7sOYSEFhQX2Z9aNThWSunA48AJwBbgR6XUB7ZtF7TmfaPx3vvzGwTGUFtaetHiTVRX+0lK2rcqVpmZSbzw36uY88NalhVsITnZw/Fj+/G3e95n7dpigntV6dM0ha5rGIaObdvc/qfTOfaYXvs0BiFEff5wEfO2notpe9mdEcIGdldz3+mfxYJt86ld6hD9LImNhW03XfnSF9rADv8MrAYz0RamXcPWqnfplPpzcG3bJk1lrUh1DcWpZ5LmHgYVke/rMnKjeAVCCBFZKMolE7slGE6u7z+a7skZdE5Kp1fqwfPku7VnjkcAa2zbXgeglPofMAk44MFxZVXkcqm6rlFVte/B8e6+jj2mV12QO3/BBjZsLGkQGEPtEorTTxtCn965HHN0Lzxx3tAnhICNFc9g2X6aCjqbW0bRGKV0MjzHNNmmIrCQSPugLbuG7b5pKKVhY5HpGU2GZxTryh9pNOjWlJuuqb8GIN19FLpK3BXwN2hJl9SrY305QghRT1nAF1N707Y4r8eRJDtcrTSi1tPaCz46AJv3+HrLrmMHXNeuWRHPKaXIzEyKeH5fzJ27lpqaxmeXwmGLlGQP48f1l8BYiFZS5vsmphnhaChcpLtHkuTs22Q7XSWgmvi1WxGYx5odD7Bmx4PMLTqdjRVPkeEe3WBNscJJoqMHGZ7RtV8rjUE5T6D2KgOtMEh3j6Rd4qktfGVCCFFrZE4X3Hp0c6oe3cEdR5xwUAbG0PrBcWOLZOtN1yilrlJKzVNKzSspKWnl4fzs0otH4XI1/EvWdY0JJw6gvNwXc2qmaBgOPWL6OE1TGA697mvLsvD7/VhNZL0QQsRGqWgL9GhE+ysy3TWCgTmPNtsu0zMam6b+PVtYBLAJYNkBSnzTSHL2oWPyxegqEU250JSb3KRJHJn7Ur1NhOmekYxo/x55iWfiMTqT7BxI36x7GNzuaTR12O69FkLEydndBuPU9EbPKSDF4SLTlcDROV14evQ5nN8ztgrDbYlqjQCwrnOljgbutm17wq6v/wRg2/Z9jbUfNmyYPW/evFYbz94++HAB/3psGo3FnpqmUErRLieFMycP4+STBu3zbG7x9gqef2E60774qdH0bU6nwX+euISKiq189tlnLF++vO5cfn4+EyZMID8/H8OQNzohWmp9+ROsL38UmgxSARwYWgKm5W1yptmybMIhRWpCL/pl/4U0d9MpILdVf8CKsjux7AA/zxUoIi3zMLQURnf6ARuTsFWJoSWjKXmyJITY/77duoYrvn+90XNu3eDN8ZeQn37w7HFQSs23bXtYg+OtHBwbwCpgPFAI/AhcYNt2o6Xj9ndwPHPWau66++1m8wwbhk5uuxQef/QSkpNbtg557o/r+PNf3sGybEKNrDd2ux0cNTwXb/ViSkpKSExMJDMzE6UUtm1TVlaG1+slOzubKVOm0KFDm1idIsRBJ2xVMX3TUdjNVp1TuyrYNcxWYYZtNqwO8uP3Xjat+fl8114JXHLm4ww/4vQmP8RWBBazofxJqoPLcepZVAWXNjEKg9Gdf6iXxUIIIQ6Ep1fM4aElXxOOEDhluhIwNJ2uSRlc2ns4J3ToHTHT1tIdW/nf2gVsq6liSFZHzu1+JFnuxNYcfgMHJDjedeNTgEeozUf0X9u2I9Yn3d/B8eVXPs2GjQ0LgDTG4dA59ZTB/O66E+sdX7OmmNden8PKVVvJSE/kzMnDGDO6b93SiZ9+2sI7787j+xkrsazGv9c5OSmcenJPZs18F13XycqKvB66tLQU0zS54447JEAWooV+KDwdb2hli64t2RbinefKqSgL407QSEnX6j7EVu60sALZ9O0yOaYPsdM3jSRkNV7sQ1Mejus8n9rkP0IIceA8UTCTh5d+h9VsgWhwawandO7H/404rV6AXB0K8Oiy6by8Zj5By8Sybdy6ga40Xhp7AYMz919sEyk4bvUMzLZtf2Lbdm/btns0FRgfCNuKo8/9GQqZTPvip3rHvp++gutveInvvl9BUVE5Py0r5P8e+oR77/8Q27Z56ulvuPWPr/Pt9ysiBsa6rjFmdG+WLvmy2cAYICsrC13XmTp1KuFwfDcVCXG46JB8frOFMxpTsi3EK4/tIOC3aNfRQWqGXvdLXylFaoZORl4FPp+Pe+65h8LCwijHcyGaarhxRcNFXtKZEhgLIdqEY9p1xRXlpjy/FebTzcuZtX0Dpf5q/rH0W8Z8+BhHvvMQz6z8Ab8Zxto1Qes3w3jDQa6e8WbdsQOp7ZYn2Q9SUz0xtff7f84yEQyGeeDBTwgEwvUCX78/xKzZq3n3vfm8+/58/IGm856apkVBwTJKSkqaDYx3y8rKYvv27RQUHPCMeEIclPKSziTR0TOmANkM27zzXDmaDqnpTQWrWswfYrumXU2qawi6Sqg7pqsEEp296Zl+S9RjFEKI1jQ4oz2DM9tHHSDXmGHuWTiNUR8+xhMFMyn0VTS528MXDvHD9o3xGew+OKyD44svOjam9l27/By8/jhvPZEK1vn9Id58ey7BYPNvii6XQUX5WhITm19nEw6brF69jS++/ImlP23jiX+/FLG6nhAiMl1zMST3Fbqn3Yih0qO6ZsPqIBVl4WYD40RHDyC2D7GacnJEu+cYmPME7ZPOJS/pbPpnP8KwvNfRtYRmrxdCiP1BKcWzo8/lzC4Da5dCNJqUrL41FWUxFRAp8TeWr33/OqyD41NOGsyAAR2jbn/22SPq/uzzBZpM9ebzBZvd6PKUaeYAACAASURBVFfLBruczMzMJlv5/SHe/2ABc39cR1FROWVlIT766Fuun/IigWZmp4UQDemam86plzKy4ydoqvmnSD9+78Wd0NSvTA1NOUn3jKw7kpiYyOeffx7VeJRSZHiOpm/WX+mX9XeyEo6T5RRCiDbHbTi4Z/gpzD/jJi7tPRxHhPRuu0WzPnk307bo0wYq6R3WwTHAvx6+iI4dm585cjh0+vXJq/s6v18HTLPxv3CXy6BXr3Y4nc0/drj8slEYht5gN2d5uY9vvi3g5Vdn8fKrs/jwo4V4fUHC4dqZYqUUpmmxes1WXv3fnGbvI4RonFPPYFDOEzT169CybDatCZKSvncbRW1WCyfJzn50SD4fQ0uuO5uVlUVBQYHkKhdCHHLchoPL+xyFHukxeow0FP3S2tEnLScu/e3bWARX//p43O6mCwM4HDp5eWl1X3fokM7QoV0bBMBK1eYrvv63J6DrTf/AOBw6E04YDFBvFnrnTi8ff7qITZt3YIYtzLBVOxO9x9rm2vaKcNjmo48WRvtShRCNyPAcg1uPnJszHKr9t7f3h9gERw86p1xB17SryUoY1yDd2u72wWDDdHBCCHGwy01I4eGRk3DpBloUSyya0ikpjadGnxOnke0bCY6BY47uxYQTBuBwND7T63Y7OP+8kQ0C4btun8ToUb1xOnQSE124XAZdu2Tz6CMX06VLFg/ef17ETX8ul8Evxven2hukX79+/8/eecZXUaZ9+JpyanohhYQaAoQuvYiADcEudmWxt3Vl3dVVd3XXtu7q+trLrm3XLoqCKFKkF5Hee08jvSenzjzvhwMh4ZQkEEKAuX4/PuTMMzPPhJOZ/9zPff9viouPWsqtWr0Pr0cP1hMAAI+nBntYGyRJpqra1fSLNjAwqIdZTQy6TTX5bvrHplI5PAdwaQVB9zsy3mw2mnYYGBicHIQQ5DsqKXJWnZLzX5zanaWXPcgT/S7g+k59GZPcJWgnvVBMu+h2Yi2to8bCaLWGL7oz+aGxjB3bh08+Xca69QcQwhfZ1TSd6yYM4uYbh/ntZ7GY+MsTV1B2fw0HM4uIiQ6jffujucM9eqQwdcrv+Hn+Vj77bDkFhZWYTAper4YQsGDhNhYs3IYkVaBKecTHx6NpOvn55Q3OWdfdxMV1BaBdamzz/TIMDM5S2kX+hu1FO9CFw2+bLEu072KmIMdDVOzRm77AS4ljGXZTh4DHLCoqokePHsiyEYcwMDBofubl7OLZdXMpclYjEHQIj+G5geMY1KZ9i84jzhrGHd2GAHDFnA9wN6EAD8AsKfySf4Bx7TJOxvSajCGO69C9WzIvPH8dui7Ysycfl9tDl7TEBttGR0fbiY4O/EVUFJlLLu7NJRf3pqiokp/nbeXjT5fWc7LQdRuZB4qJiDhI587tGpynx12NyRyOPSwBi0Vl0m/ObdqFGhgY+JFgH0eRfSH51TMhQPe8QeeF8e2HJfXEMYBHL0MX7oAtnaurqxk7duzJmrKBgcFZzMLcPUxeMQ2ndlRP7K4o4qYFn3J1h978oc9oku2RLT6v7JqGA3zH4hYaS/P2tRpxbIQzAiDLEl27JtG7V7sGhXFTiI0N57vpa3C76z94ZVmhbcpQtm3PobS0hJiY4LZuHrfv7bB9+xGYTCZuuH4II8/t1mxzNDA4W5EkiR7xL9Ez/v+Q8K9B6JhuJipOpbw0UETE/1ZaVFREQkICPXr0OAmzNTAwONt5ft3cesL4CAKYdnAzF8/6N6sLM1tkLllVZSw+tJedZQWk2KOavL+MRLjq3wjpVGGI4xakpKSKykpnwG1mSxQxsUOx2+2kppjR9JrafEUhBG53NU5nKbJqpmOnMZgtkei6ztffrGL9hlNvmG1gcCYgSRKJ4eMYmjKbBPu4wyJZQpWjUVSZa26PRteoI5AlrGoKslR/Ee5Im/fJkyejqsYCnYGBQfMhhOD9HSs4UB245Tz4BHKN18P9y6biPYluOWUuBxMXfc7YWf9h8oppTJj3P4pdNVgb2STkCGZF4YoOPU/SLJuOcdduQcxmNWTTDps9mhdeeIht27bx0X+/YubMxVRXuxAC7GFtiIvrij0sAflworsQPv/jp/76Ld9+8zssltCOG6c7Qgg/twADg5OBzZRKr4TXal9QnVouq3Ovpk1SNbc8GMt3/y0jP9uL1W6mbfuRgO/7WVRURHV1NQkJCUyePJmUlJRTeRkGBgZnIC9uXMBne9Y0aqxb11hRcICRSZ2bfR5CCG5f/CXby/Px6Dou3RfFdjg8WGQVRZLQGtHwwaaYuLJDL3rFJjc4tqUwxHELEhlpqy3yC4SiyKiqSp8+fXjt1T688n86f316Kst/2YMkBQ/yC2DZ8l1ccP7xvXVpmu5ref39WnJzyrCHmRk2tAtXXzmA+PiIhg9wEql2u3n11+V8vXULVR43qRGRPDRkGBMyehpC2eCkc+Q7ZlNTGNx2BgfK3kFtO4d7H4ujPLMn235ty56dhwBflXiPHj0YO3YsPXr0MCLGBgYGzU6Rs5pPdq/G1YSCtxJnzUmZy8aSXHZXFOEJEJkWCCJUC2WewKvlEmBXzXSKiOXu7sO4tJXkGh/BuHu3IEIInM7g3eyqq504nZ5az2VZlgkLs4UUxgBut5fCouOzcHG7vfzx0S/ZufMQ3iOivRAOHChi2vS1vPiP6+ndq+Eiwaawb38hs+dswu32ck6/DowYno6q+tu+eDSNG779it1FRXgOv31mV1bw+Py5rMnN4Z8XGoVOrR1deKlyb0MIjQhLz4BFa6cLVjWJ7vHP0p1nfR90hqtHg67ruN1uzGaz4UphYGBwUvkl/wCqrDRaHGtCp/tJaqqxtig7qCuFW9dCOlaYZZWZY++mXXh00DGnEkMctzAmk4LHE+wLI7F3bwE9erStjViNGZ3BsmW7cIQQ1WazSof2odtPB8Lt9vL0c9PYui0n4Han08NTf/uOb7/+HYpy4g/9ykonk//wGQcOFNV+Nmv2JuLjwnnjtYnExdVvoDBrzy52FRXhPWZZRheCr7dtoW9iEjf17nvC8zI4OeRVzWRXyTMI4cUXJxB0jnmYdpETT/XUmhVZlrFarad6GgYGBmcBTVkwNckyvWKST0rHOa+u8+WedWii6fnMNsXEVR17tVphDEZBXosiSRIjz+2GLAf+dksSPPr4V9xx94fkHfY6HjSwM53TEjCbgxtqq6rM4EFNyydyONw88LuP+fXXvSHHeT0aP/60genfr2X2nE1UVPh7wDYGt9vLnXd/UE8YA3g8Gnn55Tz/wvd++7z+6y9+wrguzyxZiMMT/KXB4NRR4ljOjuI/49XL0UQ1mqhCE9XsLX2ZQ5XTT/X0TghNd1Dt3otbKznVUzEwMGgGKqudfDV3HU/9+yfe/mYpWfnBC91ONSMSO+EJEZG1yAphqhmrotIvLoX3Rl7XqOMKIShyVlHialwKxrycXeQ5Kho1ti6JtnAe7TOG5waMa/K+LYkROW5h7rlrNGvX7ae62oXXW/+NS9d9aReZmcVMfvgzvvj0fhRF5uUXb+STz5YzbfragGkZTqeHH35cz1VXDmj0PD77/Beyshp+uDtdHt5+Zx6yLCPLEq+9MYf77j2fq65o/LkAFi3eTnFJdcBtQsC27bkUFFSQkODzZHR4PBwoLwt5TAmJpZkHuDgtvUlzMWg+Klxb2Ff6OuWutciShaTwq+gQeTc7i59BF/65Zrpwsq/sNZLCrzztcsZ14WFv6cvkVE5BQkYXHqKt/cmIfxGrGrz1tIGBwalFCEFJRQ0Ws0q4rb5d2PYD+Tzw4jdomo7T7UVVZL6au57fXT+S6y865xTNODixFjv3dh/GBztX4tCO6gGzrJAWGcejfc6n3O2ke3QCXaPaNOqYC3N38+y6ueQ5KhFA54g4nh1wCQPbBE+p/PbARhwBbOQaYvnlD50W935DHLcwCQmRfPCfO/lyygrmzN1CdYDWz0IICgsref2NOfzh4XFYLCbuvnM0MdFhvP/hQjye+qLa49F4/4NFjDy3G99OW82cOZtxurz0yGjLHbedR0ZGW79z/DR7Y4j0jqPoukDXBXD0nP95bxEdO8TTr2/grmCBWLhoh1/r3brIskRB4VFxPH3n9lDdswFQJIlqtxE5PlWUOFawqeA+dOECBJqoJqvif2RVfBRyP7dWhFevxKS0vDn9ibCj6C8U1MypJ/rLnKtZc+hahqbMQZWD+5MbGBicGn5YuoV3v11ORbUTXRf065rC45MupH1SDJqu8/Ar06h2uGvHezUdr6bz5tdLGZDRjrTU+FM4+8BM7nUe7cKjeWPrUrKrywlTzdzQuR8P9x6FXQ1e1yGEYF1xDoWOKtKj4kmxR/Hx7tW8tmVJvfzgneUF3LTgUy5K6cpDvUbSPTrR71iu4xDGyfbI00IYgyGOTwlxceE8+MBFCAHTpq8NOm7WnM2ce243Bg/qjMPhZuZPG/yEcV3uvf+/VFQ6aiPSa9cdYMvWbJ7+69UMGZxWb2xNjTvQIRqFy+Xh8y9WNEocFxZVsmLFHvILQnfM8Xp1kpN8+Ufbiwp5dvHCBo/t1jXS45qea21w4ggh2FH05wDR4cbknwlkqfWYvTcGpzeXgupZ6NT/uxFoePUq8qq+JzXy5lM0OwMDg0B8M289b369FGedjrRrd2Rx+7Nf8NXfJ7EvpxhnkACL2+tl6oKNPPabC1pquo1GkiQmdOrLhE590YVAboTg3F6azz3Lvqbc7UQCHJoHIXyuEoECUTqCOTk7WZy3l9/3Oo+7uw+rt/3ilG6sLczGqTdOJNsUEw9kjGjU2NaAIY5PIbGx4aiqgtcbOIKraToff7KU1Wv38eOPG0JGeh1OT8CiPZfLy8uvzGLKF7+tl+vcsWMbdu/OC3o8WZZA+IrfAnHwYP3cYYfDzcJF21m3/iBRUTbGXdKHRYu2M/W71UiS5JdCcizn9OtQW5D3xspfcDfirVTTda775kvu7j+Ih4cOP23eSM8Eajz7cOvHk5cnE2sbiSKfXuK4zLkaSVJB+L9U6sJBUc18QxwbGLQiPF6Nd75dXk8Yw+H+AC4vn89eQ1pqPMEWNIWAJev28KeJ57fqZ0tjhHGZy8FNCz+l0uO/Ut0QTs3La1uWMCq5C+GqmTnZO6nR3PSJ8V+RPpYjjUCEgBs69+OmtNaXphIMQxyfQi66oCeffLos5Jhdu/PZt68Ql7vpSxhHqK52sX9/AWlpR5dG7rhtJE8/Ow2Xq/5xFUVm2NA0Lr+8P0/9dapfq+sj1HWWyMkt5YEHP6a62nU4BQOmf78WSZJqfw5FXGw4f33yytqfV2ZnN5hSAT5/Z5em8eH6NSSGhXFLn36N2MugORB4kI6jntckR9E17qmTMKOTiyxZ8TluBEYxUioMDFoVuzMLCfYg8Wgai9bt5fxBXUOm+5VU1LBxdy79up7ezXym7t8YsoivIdyal9sWf0GRsxoZX2MPs6yEjBqbZYUHeowgxmxnTNsuJNtPrzQ6w63iFJKQEMldd5wXcoym6SckjMEXBfYcE7kdMjiNB397ETabGbvdTJjdjNmsctMNQ3nmb9cwaEAnMrq3DWjhZrWauO7awbU/P/b4FCornfWEsBA0KIwjI61MvGU4X3/1W8LDj1phWZrYPMHh9fLGql9D3uQMmhe7KQ2J4A4qgVFoYx8Lx2H9c6qJtZ2LIPDDRZbsJIdf08IzMjAwCIWqyCGfCaoi0zstGbs1eI6upgt+WLrlZEyvRVldlIXzOHKEj6AD+Y4qNCHwCB0d0WA6hSzJXNa+Jzd36X/aCWMwIsennOuuHcLSZbvYsjWw13Bz0bmTf9XqpeP6ctEFPdm4KQtN0+jVK5XwsKMi9c9PXMGDD31CVaUTh9ODJElYzCqjR3VnzGhfN5v9Bwo5lBc6n/hYLBaVzz6+z8/X+AgTMnrwwfq1uLUmdAByOKjxeAgzn75NJk4nZMlE55iH2VP6YkBXisBoHKqaSl71dHq1eZ14++iTOcVmRZXDSI/9C7uKn0VQP31JlcKIsQ49RTMzMDAIRJd2bbBaTNS4/NMNVUVm/PAMXB4v1c7Q9TeZea3X1q2xJFjDkSUpaJrkySDKbKV9WOv1MW4II3LcCvjbU1fTpk1EbWe85sRiUZk08VzM5sDvQWazyqCBnRg6pEs9YQzQJj6CT/93L/fffwEjRqRz6fi+/OulG3n0j+Nrc7Dy8sqbHLEVAsLDg+ec3jNgEEnh4ViUxkcmFVlqcsTZ4MRIjbyZ9NgnkSVbo/cReNGFk62FD6PpJ6el6cnCqqQi8I+WePVKdpU8dwpmZGBgEAxZlvjz7RdhUv1ljqbpZBWUMX/17qCpF0fYsu8Qa7ZnnqRZtgw3dO6HWW7qSt/xIwGP9B7VqnO1G8IQx62AqionaZ0T8Hi8zf5l8ng0NmzMpKSk4fbSmZnFfP/DOmbN3kR5eQ3lFQ5eenkmb771M6tX72fR4u1s2HCwXgFDSkpMk+ZjMimMHtUdiyX4i0CkxcqMGydy/8AhpEZGEm42Y2qgLe/oDp1Qjda9LU5KxHWMSF2CVUkFmvJyJ1FYM/9kTatZcWslbC54iI0FtxPoSarjJL/6BzxaaF9uAwODlmVgRjukALUCApi/ahdL1u3B5QmdHqBpgte/WnKSZtgy9IpN5vaug7EppqCVE1ZFJdpkC1FZ0XgUSWZe7u5mONKpwwi1nWL27y/kwcmf4nS6g1bNngi6Lli1eh/3P/gx//vwbmw2/7QDt9vLc3//ntVr9gPUNvuwWU3UONy1ThNut5fPvviFgsJKHp48FoCkxCgsFtWvsO8IR7S+EGCzmUhKiubB317Y4LwjLRYeGjKMh4b47GN2FRdxxVefBU21iLE2Pnpp0LyYlEgGp8wgp+Jz9pb9X6P20YUHj1Z8kmd24mh6DWsOXYfTmxtynISJas8eopWBLTQzA4PWg1fTKamoJtxmCZnD29Is37gfVZVxB3CEcnm8HCquwKTKfjU5x7I7y1cUbwmyAns68EifMYxO7sLHu1eTW1NOqh5F4Z4qssrKsCaaGN0vjc/2rWtUMXxDeIXOwtw9lLsdRJlPz2fz6fs/fYbw9rvzcDiO33O4MWiaTmWlk3nzt3L5Zf5WKu/+ewGr1+zHfUzhXyDrOJfLy+w5m+iS1oZNm7NZumwXwdalFEXi4d9fwo4dh/B4NEYMT2fY0C4Bi/waYl9pKWZFCSqOd5YUBfzcoGVQ5TDaR93NgfL30ERlg+NlScWlFbEm93o0UU2s7VzaRd6GVU1ugdk2nkNV3+PWimnIv1kINya5aasoBganO7ou+M93y/ly7jo0XSCEYETfTjw+6ULiok69g0uVwxW0MFyII0V7DR9Hwpe6d7ozsE07BrZpx7tTl/HFnHV4dR1N01EyJX5YvxXPYA2ayWXTJCsUOKoMcWzQdLxeX8pDS+B0eli6bJefOHY6Pcyeu8lPGIfC49F4/c2fQ7pR9O3TjgcfuJDOnRNIaBPJtOlr+fSz5axes48J1wwiNSWWNWv3M3/B1sPCuSvnjeyGyRQ4L6pNmD1obrMEJIdHNHr+BsePEILCmtkcLH8fhzcHm5pCh6i7aWO/BEmSSI24hazK/x7umhcMBSG8ZFV8isBXzFft2U92xeekRv6GDlF3YVZiW+aCGqCgZha6cDQ4zqy0Icyc1uA4A4MzBSEEtz3zOTsOFtT7fOmGfew8+AVfPj+JuSt38NmsNRSWVpEYF8GkSwdz6YgeLZaL2jstOWQkdOfBQhRZIkirAcD3fBmQ0Q5Vbbmc3ZPJ8o37+HLuunrpJDVOD0IShG80Uzk4dLBOliQGxKWgSAorCw8G/f16dI0k2+n7XDbE8SmkMR7AwZAkmpyGYTb7/3EXFlXWaw7SWELN3WSSeezRS0lKiubNt39m1uxNOA83KNm3v5A5czfTrl0cOTmltZ+vXLWXTz5dxpuvTyQy0v9Ns39SWyItVqo9/pXHVlVlUt/Tx1z8dGZP6T/JqZxSKxgr3WVsK3qClIiNpMc+TmrkRApqZuPwZuKLtkr4VhYkJEyHnR40dD9bNA2BRlbFR+RUfkZG3Iskho9r0WsLiGjc30avhDdO8kQMDFoXb3+zzE8Yg+/ZUFxezV1//5KDeaW1aXkHD5Xy0ifz2b4/j0cntkzXuS7t2tA7LZlNu3MDplZ46nwmy/6+/JIkYbOoPHzz6OOegxCCZRv28dmsNRw4VILdambkOWncecUQosJPLKq6K7OQb+atJ7ugjK7tE7j+wn6kJPg7ROzLKebD739lzfZMqhzuetd9BElImEplZCfoVr/NtaRHtuGrCyYBMHXfBp5aO7te62nweRxfktqdCHOIA7VyjAqmU4jZrJLexb9neUPIMjzy8DgUpfGi1mY1Mfbi3n6fR0fZG+xe11TMZhMHDhaxdVsOP83aWCuAwZfi4XZr7N1bUO9zh8PDobwy3nhrbsBjSpLEe5ddSYTZgvWwK4UsSdhUld/0PYfBKanNeg0G/tR49pNT+aVfJFUXDnIqv6CoZhErc8fh9B7iaBrCkYeNCYGbBkvDEejCxfbix3F4spv3Ao6DMHPnBsd0jv4jkZZeLTAbA4OWx+PVmLtyBw/+ayrXP/E/nnx3Jlv3HmLKz+tD7KOzN7vY79nidHuZsWRLi9qj/euhKxnetxNmk0K4zRI0GKTrApOqcMGgdOxWM3ariQsGpfPx07eSlhJ/3Od//asl/PmdH1m/K4fSSgc5heV8NXcd4yb/h0Vrj79obcrP67jz+S/5YdlW1u7I5pv5G7jpyU9Ysn5vvXGbdudy2zOfM3/1LkorHQGF8RGEDLIjtCzcW1FU22lvQqe+3NFtMBZZwSwryIBdMdEzJonnB44/7mtrDRiR41PMA/dfwJ8enxK0oC0Qug7/emVWo8dbLCrp6UkMH5buty0iwsqAAZ1YtWrvCUWy66JpGjHRYUyfsa5J6Rper87SZbtwuTwB3Sx6JiSy+LY7mbJ1C6tzsmkTFsZNvfrQJzGpWeZtEJr86tkIEfjGqgsPWwv+iEYwV5Sm5dULoZFT+RVdYh9p4iyPH49WQUHNbNxaAeGm7sTZR2NRQn+3oiyD6Bh9TwvN0MCg5XC6PLz59VK+W7gRrc6zITOvlEXr9hz380LTBQvX7mbSpYMbHFvlcFFcXkN8VBhhAYrJG0OYzcxLv7uCorIqMvNKeeaDORwqqgg41mxSuO6Cfvzjt5cf17mOZU9WIVMXbMAdoH7Hq+k89e9ZfPPPRJLimtYkI7ugjLe+XoqrznG9mo5X03ny3ZnMev2+2t/Xsx/O8WuhHQxJB83WcLDsSIqjJEk82ud8buzcnznZO3BqXoYmdGBAfOppbeMGhjg+5fTu1Y5//v163nz7ZzKzikFAp05tqKxyktfE5hrHYrGoREbauOqK/ky4ZlDQQrhH/zCOG25+u9nEsdutkZgYSWlpdZNTP2RZoqrKFdTqLdpq494Bg7h3wKBmmKlBU9CFM6DP7+GtIYRx0xF4KHEsZU3uSjThJM42mnaRE7GoCc12jroUVM9jW9EfAQldOFEkO4ocRseo+1EkO5rw92SWJStt7C2zPGxg0JIIIXjwX9+ybX9ePWEMoAsRUOw1Fk3XG1ytrKpx8Y///czi9XtRFRmvpnPh4G78aeL5x+2GER8dTnx0OFFh1qDiWNcF4bZmqkgDZv2yHW+ISK1X05i2cBP3X3tuk477w5IteLXAv0NJkli0bg+XjuhBTkEZ+SUNF0gDCEngidMRdTMhfBlx9UiLjCPymHSJduHR3NX9zGqEZIjjVkDfvu354L07qaryFSeFh1vZsPEgT/zlmyZFlOsSHmZhxvSHGxwnhCA7p6RZUyskSeLzL1bQr297Nm7KbNI1KIpMVNTpWd1alwqXi1U5WUhIDEltR/gZ0LkvxjqU7IpPAgrFk0GVZzcczk2u8Rwgt+pLBiRNafbCN4cnm21Ff6zX6U8T1WhaDQfL3guadywhkxx+VbPOxcCgNbB6exa7swqDCjDguDuuWc0mhvTqEHS7rgvu++c37M8twuPVa4X4vFU7ySko470/33DcUcm127PYmxPcQjI63EZ6e/9ussdLZY2LUDEnTRfsy226peXCtXv8XlqO4PJ4Wbp+L907+gIJjXXZEBJUd3dT2wBUBtkFuv3oGKui8tQ5Fzd5vqcjhjhuRYSHH30b69e3Aw/97mJefvmnJvsOms0KlwWwbDuW8goHjz72FdnZJSHHSZKveYfb3bhogabpzJu/lf/99x4+/3KFnzhWFAldx899wmJRufqqAadNVbBb0yh3OomyWjEf7uYnhOCdNSt5a9VKTIcj9V5dZ/LgYdw7cDD5VVUsOrgfIQQjO3QkOTyCzzZt4P11ayioriIpPIJ7Bwzipl59Wt2yVIx1KHZTR6rcew7nD59sjn7fBG68uoetRY/QJ+FtLEoikhT8e6ILLxJKo36HOZVfBUkXEbj0Qxzb3ETChCyZ6ZPwLibFsG8zOPNYtn4vjgBtl+uiyBImRUE7vJzfGGQJenRKpGfn4OlKq7YdJCu/1M972O3R2LQnl2v+9BGXj+zJhPP71itoc3u8rNxykIoaFz07JdGxbX3HG6fLwx9f/z5ozq3VrPLc/eOb9b47MKMds37ZVi/9oS6qItOpbVyTjrll7yGy84PnbOu6YOmGvSzfuJ8+6W2DXo8kQXxUGEXlNQghkHWJ6KVWdLPwlVELiGpvI7ubbwW7e1QCfznnIoYkBH+xOZMwxHEr5scfNxyXIbeu+/7oampc2O3Bl4iefW4aBw4UhVz2URSJ4cPSiYy08/O8LYcN0zWio+0UFlYGTZtwe7xERdp47f9u5qmnv6O8rAZZ9u3bt0870rsk8s23q1EUGSF8/pgjz+3Gbb8ZeRxX3LI4vR7+sWwxU7dtrV11uq5Hb5449zxm7NrBO6tX4tK8uOr8Wt9YNCnf+wAAIABJREFUtYKVOdn8kp2JjIRAIPBZ0OVXVeI87N+cVVHO35cuYnN+Pv+4sHW9oUuSxDlJn7Kj6EkKauaCn+PEyUZQ5d7GiuxLUGQbHaN+S9vw61Bkc61Qzqv6gX1lr+P0ZiNLZhLDLqNLzKMhRWy1Z9dhF41g+G8bmPw1YeYuJ3pBBgatElmRan1mguHRdF6bfCXrd+awbONeLCaVS8/tybtTl1EVxLt/1DldeGzShSEF6PKN+4MKcyEgp7Ccj35YydT5G/n46VtoExPOsg37eOrfvkCSEAJdF/TrlsKLD15em4axaO2eoFckS3DNmL706dI2xBU3nTED03nz6yXkB+lQqygyV4/u06RjTl+8GW8DKZC+FwuddTuyiIqw4XZ78RzzAqPIMg/fPIZnP5hdm5MsIaG4j/7feDI1vr5pEt06JmBTm9IB9fRHCuYdeyoYOHCgWLNmzameRqugvMLBdTe8FVK4HkFRZIQu6i1xmc0KiQlRvPv2pFqBvHdfAR9/spSNG7NQVJmKCkfIPGOLRSUi3Mq/37mN2Nhwqqqd5OaWER1lJz4+gutveouSkmq//SQJBg3szD9fuB7w3ax27sqjtLSajh3iSU72Wc2UldXw68o9eDWdAed0rP28NSOE4ObvvmZD3iFcdRqSWBSF/sltOVBayqHqE8+9taoqP9x4K2mxTYsqtBR5VT+wregxQgtkpYHtzYHPIi4xbBw2tQMHK96rlx4hYcKiJjK47QxUOXBTgm2FT5BX/V0TzqnSPvIOusT+8QTnbmDQOtm0J5cHX5oaspBLliT+NflKRvar7+iyelsmj7z+vc+ZyKshSxKKIhEXFUZhqe/e2CE5lodvGh0wveKaP31EdkHDrdgVWWJ0/y7cc81wJj39ud9czarCsN4d+dfkK/F4Nf76n5+Yvzq4O8QV5/XiyTuaPyBRUFrJH179nl2ZR23vZEnCpMr87e5LuHBwtyYd7w+vTWfZhn0nPC+zSWHcsAwOFVewfke2n3g+QpvoMH54xVd0fDy2r60dSZLWCiH8WpsakeNWitvladQX0WRSkGXJL3XB7dbIL6hg2vS13HLzcDZtzuKxJ6bgdnsbVSRnNivcPmkk48f3JTzMl+4RHmala/rR5bC77xzNa2/M8Tu32axyx23n1f4sSRLdu/l3PouOtnPJ2Ka9NZ9q1hzKYVN+Xj1hDODSNDbkHcLhPb4c8WPx6jpz9u7hgVYqjhPCxrKj6MkAfsU+JFTSYv5EmKkTu0teoMa7/yTNRCBwk189E4HGsZEhgQe3Vsyhqmm0i7zVb+8y51oKamY28Zxeajwn/nAyMGit9E5LZnDPDizbuC9oAEWWJXIL/UVs77Rknr1nHEs37qOgtIpwm5ml6/eRV3y0MGxfTjGPvPE9L/3uCob17lj7+e6sQvJLAhfLHYumC5Zs2IvVYgqYKuH2aqzYcoCs/FL+9t5sdgXwZD6C1ayS3q75co3rkhATwWfP3srBQyXMWrGd8ioHHZNjGTs0g+iIptfX9O+eyuptmbia4AQVCLdHY9aK7Xz5/G948F/fBi1SLK2sYfR9b+J0e0mOj+TuK4dy6bk9W13aX3NjiONWSlxcBGFhlqBWaJIEFouJ887rxuLFOwKOcbu9zJq9iZtvGsZLL89sUmFc/3M6cv11Q0KOGXtxb7yazvsfLMLj8aLrgrjYcP74h3F07Xrm2atpus7//bI8qABuLmEMoOs6Xr2l0xYajyyZ6ZXwFpsK7sZ/qVIhzjaK9lGTDv8s2FL4MJrwX2VoLoK7aPh8mA+UvYtFiSPefiGy5FseFEJnS+HkBrr5BUImzOxvi2hgcKYgSRL/fPByfv9/37FqW+AurmaTQkqbo6t9Qgg+nPErn/y0GkX2rWbabWbaxkfiDnBvdLm9vPLFQr75x+2ALxXvL+/O9Ms1DoWuC7bu83fUqJ2jqvDJzNXszioM2ATkCLIsM354BgDb9uXx0y/bqHG6GdqrI2MGpmNqhjqYDsmx3HfNiBM+zhUje/HfGStPWByDL/1y6948YiPtQcWxVxN4Nd+5DhVV8NKnC8gtquCeq4ef8PlbM4Y4bqXIssTdd47i9TfnBojMKjz39ATOOacDBzOLWbZ0V9DjuNxecg+VUVzc+KV+q9XEtRMaZ5V26bi+XHJxb7KzS1BNCm2To1vFG+WekmL+s3Y11W4Xl3TpxuVdu53wvB6fP4d1ebnNNMPQWFQTozo23IDiVBJvH8ngtj+wtfARqj27AIEsWWgXMYlOMb+rHRdrOxeTHIWmOTjaHKRl8ehFbC/6M6r8T/onf4FNTaHCtQFNb7rzhoRMSsQNJ2GWBgatB1XxLftf89hHAYWY1WxiaJ2o7yczV/PJzNX10htqXB6KyoK/FOcWVlBW6SA6wsZb3ywjO6/hdIq6tIkJJyEmnAOHAheVa7pgxeYDIYWk3WbmjT9cQ7jdwrMfzmHeyp24PRq6ECxYs5t3vl3Oh0/eSFxU4LSsliYyzMp7f76BR9/4nuLyGhRZwun2BaeOxz1EVRV6pSWz62BB0NSKujjdXj6a8SsXDe1Gp+TWubLZHBjiuBVzydg+eL0673+4CK9XR9d1YmLCeOThcfTv3xGA9u3i/HwIjyDLEgP6d8Tt9jYqRUOWJVRVYcLVA+l/TsdGz1NRZDp0OP4OQs3NvT9O5+d9R7sEzd67h78tmsfPE28n3n58N7jN+XnM2LkTr37yxZ1FURiQ3Ja+p0Fzk3BzOkNSvkcXXjS9GlUO93ORkCSFc5I+YUP+Hbi1IgQ6CNBx4mvS2TKCWRM1aJqTTfn3MyRlBh69nKB/PCFIj30Sq+qfJmRgcKbRJiacFx64jD+/8yMSPmFkt5owqQpvPToB9bAjj8vt5cMZvza62cQRhBDIsoTHq/H94s1Nur9azSr3TxhBhN3Kpj25Ac8dHx1GRZUzwN4+zCaF9564nq7tE5j9y3bmrdpVX9w7PbjcFTzz/mzeeGRCk67tZJKWGs+3L97BjoMFFJdV07FtLB/9sJIfl25t0nE0TTC0VwcyOiXy/eLNjRLHALqAu5+fwrSX7iAi7PRtER0KQxy3ci67tB/jLulDZmYxqkkhNSWmXgTUZFL4zcRz+d//luAMkPt7y83DSU6KCtoARJYlMrq3JSUlhugoO2PH9qZTx5OTe9US/HvNqnrC+AjlLhdXffU5N/fuS4nDQf/ktlzUOQ2TEnq5rMzp4LF5c1iwfx9aCxSvSsBNvfry2IjW79pRF1lSkZWooNttpnYMTZlLmWs1NZ4DWJVELGoqWRUfUuL4BVkyYZbjcWq+1tMurRgC5BCfODoObyZV7h1EmHsgROMt6SRMJIdfS2rkTc08JwODU0tJRQ2rth5E03TaJUXTNj6a+GhfIGFkv87MfPUe5q7cSWFJFZ1SYhkzIB2L2ScfdhzI5/evTGuyMAZIS4kjMsxKYWlVg02oFFnGalZB8qVT3D9hBOOG9+DnlTsCNiWxW028+ODlvPH1Un7dfCDoMTsk+SzfPp+9BmcAlwxNF6zZlsXMZVsZMzD9uJuQNDeSJJHRMRHwFf2lpcShyNBIfYvVrPLAtecSbrcQbrfw8u+v4om3fkDXfe5RTrc3ZCS6xunm24WbuO2yhjsdno4Y4vg0QFFkOnUKLlivmzAIWZL4+NNl6LpA03SSk6N57NFLaZfq+8O/4/bz+M97i3Ad88ev64LevVK5845RQQX06cS7a1YG3ZZbVcmrK5ahAVO2buIFi5Wvr7uRthGBW3dqus4NU6dwoKy0RYSxVVV5dex4xqadmfmskiQRYx1MjPXozTQj/oWAY6vcO9hf9g5lztUosp2ksKvQ9Bryq30RX1/x3fFFnCUUHN5swu3dibdfQGHN/JC+zRImwkxpdIi6h4Sw8cd1TgOD1ogQgjenLOXr+evRdVHrVyxLEt07JjC4ZweWb9yPx6sxqn8aN1zUv1Y0A5RVOrj/xW+oDmLdFgqrWeXRib4Ok5Fh1sPmloGJsFv46bV72bY/DyEEPTonYTWbyC+u5NkP5gYUcbIs0yE5lruvHMr6ndl+qRVWs8rNYwfUivzCEOkfXl3nxU8X8OIn83noxlFce37fJl9vcyGEYOPuXPZkFRIbaSe7oJz3pv8ChBbGqiITE2GjyuGmY3Isd101rJ7TyOAe7Znzxn2s3pZJeZWTgtJK3pu+Img3RK+mM2fFdkMcG7ReJEni2gmDuOrK/mTnlGK1mkhKrB/Fu+qKASiyzFvvzMNzzJf9u+lrWL/xIDHRYVgsKuPH9WNA/46npW1LlTv0TfrIlVd7PDi9Xu778Xtm3DQx4NjFBw+QW1mB5ySnUqiShCLL3Ddg0BkrjJtKuLk7vRPe8Ps8Pe4xAPKrf2Jf6es4vAeafGyBF5vaHoCM+H9C0eMU1MwmUJRalmwMafsjNlNqk89jYNDa+Wb+BqYu2OAngHQh2LY/n23782s/y5lTxrRFm/nvX28iMTaCKoebKXPXNbowTJLApCrouqB/t1R+e/3I2sinxawysl/ngFZrJkXmnquHYzGrnNOt/t/h90s2o4vA92dd11m2cR9jBqTz7D3jeP6jub7otAQer8bVo/tw91XDasd3SI6hpCJ4DcKRqPLrXy3mQG4xcVFhdO+QwJBeLfesLCqr4sGXvuVQcUXttTTm929WFd59/Dp6N+DjrKoKw/p0AnwFkt8u3MihouDtp1uPEXDzY4jjMwhVVegYIve3X78OAYvS3G6NnTvzan9esnQnXdOTeP3VWzGbW/dXRBeCX7IyWZGdSZjJjEmWcTdSzGpCsLe0hN3FxaTH+RcWLM88SLUndJeoQDS2raosSdhNJn43eCiXpXcnOSKiyec6W0kMG09i2HhW5lxFtWd7o/eTUAgzpRFu7gqAIlvplfAaVa7dbCn8PQ5v5uHOejKSpNCrzRuGMDY4IxFC8N8fVjU6HcLj1fFqLu55YQqVNS68mt5gKkRd7FYzC999MOA2l9vLhl2Bi509mh7QMg4gK78sqLuFx6uTd1jYjRmYzsh+ndm4OxeXx0vPzkn1uusB3HbZELbvn1H7+xBCR+gakuy7H9Sd6zfzNyAhYbWoxEbaeftP17FuZzZT522gvNpBv64pTBw/qMHud9UON5/PXsOMJVtwuj30TU/h7quG0f3wS0NdhBBM/r9pHMwrCerOEQhZkpg4blCDwvhYzCaV/z51C5f94b2AHRDNJoULB3dt0jFPJ1q38jFoVpb/shu9EcJRCNi5K48PPlzMA/df0AIzazrlTieHqir549xZHCwvo8bjwSTLTa7WVWWF7MrygOLYbjKhSFKjUypUScJqMqFIMuUu/yIQWZKQJQmbquLWNHonJPH6JZcaovg4cXnzqfHsafR4RQrDpMTQO+Edv23hlnSGps6kyr2LSvc2zHIMMbbhtbZvBgZnGk63l7LKprm1CCEoLm+6w4uqyIwd0j3o9nmrd1HjDL7qN3X+RhLjIjl4qIRNew4RYbdwzZg+dGobh9mkBFz6N6ky7ZOOWs2pqsKAjHZBz9G9QwK9OyeyZMVqyrJ34CgvqO0SaItOIKptd2zRiUiyghA+h/UjBXs3PfkxujgaXT5UVMG8Vbt4+fdXMbhH+4Dnq3G6ue3ZLzhUWF5rM7dswz5Wb8vk5clXMrhn/QYp2w/kk1VQ1iRhDL4A0vdLN3PhkK6kJERhNTf+nhYbZecPt4zhja8W13uJUmSJCLuFay/o16S5nE4Y4vgsQteb9qY/48f1rU4c7y8r5Yl5c1mfl4sm6lvXHEl/aKjtaV08ukaHqMCd+S7r1p0P1q9B00L7DSuSRJzNzgWd07h/4GCKHQ4mfvcNXl3HqXlRJAmTojB5yDAmZPQiq7yMhPBwUoLkOhs0Do9ehiyZ0USo6L6CTU0lwT6OKGtf4myj/Nw06hJu7lobVTYwOJMxmxRURUHTm8+fPeB5VIWoCBv3XBPYF3fb/jw++2l10JbRcLhV9ZeL632242ABPTslIgdYDZXwRarrWs2F4mBeKbf86R0ObFiAs6YCWbVgDvPZkgohcFWVkbdtMSZrOIkZ52EOO5q2qOk+kVwXTRdobi9//fdPzHztHhTZv55n6oKN5BWV1/NfFvheWp77cC4z/u+ueiu9+3KKj8Nbx0dRWTV3Pv8luoAbLuzHfRNGBJxTIK49vy+RdgvvfrucQ8UVyJLEqP5pPHzzaKLDm97E5HTBEMdnEYMHdubjT5ahN7K5hPuwd2JryT0urK7mmimfU+FyhRS/Al+UVgiBKsu0jYjkYLn/spwiSWTEt6FzTKz/MYRgwb69DUaiTbLMTb378vSo82s/S42MYvFtd/HNti1syDtEcngEN/bqUxudjrfbG3W9BqGxqe0OF+YFQyY95s+kRN5gRIANDI5BkWXGDc9g5rKtjbbwaiqqInPx0G5MvnGUXxqDpus89e5PLNu477icLpwuD9v253Pdhf2YOn8j4Et5sFpUrGYTb//p2loBKIRg8bq9fD57DXnFlXRIjmHSpYMZ1KM9yzfu4+GXPuPAmtlIkowlvP7zQJIkTNYwIAyvs5rcTT/Tts9F9QRy0Dm6vWzZe4i+6Sl+235YugVXkGK3imone7OL6FKna1+b6PAT8uo/IuCn/Lweh8vDI7ee38AeR7l4aHcuHtodp9uDqii1Fn5nMoY4Povo0iWRLmmJbN/RuEYWZrPSaoQxwEcb1lLj8TQqKnxE1Hp0PaAwtigKyRERvHvpFQH3f23lCj5Yt7rBYjyLqnJ3f7+27MTYbNwzoHGNVAyOD0W2kxJxAzmVU9BF/TQWCRPnJH5MtG3AKZqdgUHr56EbzmPj7hxyCspDdpA7XryazrxVu7h57AA/cfz1z+uPWxgfweHysG5HNrPfuI8Fa3ZTWFpFh+QYRvbtjFqnq92rXyxi+pLNtXan+SWVbNqdy8h+nVm8dhdZGxciSTKqNbQPvmr1CeT87UtI7T8eSQ5tBSpJBHXyCOYCAb7gzrHbB/Zoh9Wshkw/aQxOt5fpizdz11XDmhz5bUpKxunOmS//Derx3DMTGi14u3dri+M4LHpOFvP27W025whZkvjp5kkkhIX7bat2u/lg3eqg7aBVScKiKPRqk8CUa2800iNOIWkxfyIxbDwSZhQpDEUKR5HCyIj/pyGMDQwaINxu4dNnbuXJOy6mT3pbYiJsWEwn3iq5Li6Pl/emrfD7/Is5a09IGB+hotqJzWLi0hE9uO2ywYwZkF5PGO/OLOS7RZv8+gA43V5+XrWLssJcPM6qBoXxEVRrGB5nFY6y/AbHuj3egMV1AMP7dAoagRUI0lLrF9crsswrv7/K5/V8gphUhW378hoeeBZjiOOzjNjYMCZcMwiLpeE/sF2787h10n84dKhpLT1PFg017GgKiiyzOjc74LathQWoIfKxkiIiWDjpTmbcNJGM+NO3YcqZgCypZMT/g+Gp88iI/we92rzCue1WkBR+2amemoHBaYHZpHLJ8Aw++MuNfPfSnSe0dB8IIWD1tky/z4+nsO9YFFnys3ery7odWdz3z69DRmnLc3Ygq5amnVc1U567o8FxMRF2YiMDp9FNHDcQi8n/OWw1q9xx+dBa/+W69OicxLhhGU2aayC8mk5ldfDOgQaGOD4ruffuMdxw3RBsNjM2mxlVVbAGEMtOp4eysmqefX76KZilP9dm9MSqNl8mULU7cAGIVVVD5hpHmi0khRsOE60Ji5pIQthY4uyjUOSmPegMDAx8zPplW5OiuRaTSlpqHAO7twtZ4GVS/QMbCTH+q3bHbm9Ip5tUhYnjA6ev7TxYwO9fmUZljSvo/kLoOMoLUC2NrwORJLCGReIoK0AE8Vg+QlFZFdUOF7N/2c5Xc9exbkcW4vCzpW2bKP7z5+tpnxiDJIEs+Rw2bh03kInj/VP1jmC3mY+7MO8ILreXZz+cw4P/mmqI5CAYOcdnIbIscdukkdx80zByD5URHmbh+RdmsGlzlt9YIWDP3gJycktJaRtzCmZ7lBt79eHLLZvIqijHfYyDhHLYW7ixLhVOj4f+yckBt/VKSMRmMgX0OLaqKjf07N3UqRsYGBi0epZt3N/gGJvFhC4EE8b04cHrz6tNDbj1r5+yK7PQb7yqyIwd6m/j9pvxg3jtGIuwuhSUVqHIge/rsiwRE27j+fsvpUNS4OfSv79b3mCDDKFrSNCkaLlZVQ83HhG+/UMUpwlg3OT/IMsSHq+GqigkxUXw9p+uJS4qjBlLtlBQWgnC1+9TQeLz2WsZ1KN90Ij4BYO6MuXn9QG9h5uCx6uzfmc2D782nQ/+cuMJHetMxIgcn8WYzSodO8QTHx9BQUF50HGaprN/f0ELziwwdpOJ766/mTvPGUCc7ZjK5yYIY4D2UdEB843Bl4/8rwsvwaqq9d7QLYpCp+gYruvZq+mTNzAwMGjFCCHYl1MUcky4zcL7f7mBuW/ez+9vGl0vZ/bPt12E1aLWE5qqIhMdbuP2K4b4HevqMX0YP6IH5gBR5SNoukCSJWIibITZzCTHRzJhTF/efOQa7p9wLt/M38DzH81l/c7s2ojsETbszAn5TDApMknx0ciyVG9f6fC8lQCiV1VkUhOj0TQBSA0W5Anhy22ucXrweHUcLg+ZeaX84dXprN+Zfbj5h7d2nh6vhsPl4bG3fkALUl+TkhDld63Hi8ers+tgAbsOnvrne2vjhCLHkiRdBzwNZACDhRBr6mx7ArgTX8feh4QQc07kXAYnl+hoO3n5FUG3b9uey7kjurXgjAITYbHw6PCRpEZE8veli6nx+kd3G9OhrswZeilpVMdOTLn2Rt5cuYK1h3IIM5u5sWcfbu/XH6t69lTsGhgYnB3MXL6NvOLgrYIB/nb3WLq2Twi4rUfnJP7311t4f/oKVm49iOlwxPi2y4cEzLuVJInHJ12IEDB98SaC3bJ1XVDtdLP0vYeQJIm84gpueepTqmqOWnr+tHwb5w9M59l7x9cWnJtMCoS4zQ/q2Z4+6SlsWZ5ITUXJYbs2iImyc8nQ7hzMK2XlloO1Yl8Xgn5dU4iLCmPv/kxs0Qn1Ouc1Fk0XHDhUwv9+XBU0su32aKzdkR2wgci0hZuQJQmtGZs3b9ufR9cOgf9fz1ZONK1iC3AN8J+6H0qS1AO4EegJtAXmSZLUVQjR/F4xBs1CRkYKO3YGr17dv99/uexUsa+0hE83bQgojMF3E7OpalC3CYAKty8PzavrLMs8SH51Fd3j4umTmFR7M+ydkMh7l1/V/BdgYGBg0Irwajr//HheyDHn9UtjVP8uIcd0TonjH79tWjFsSUV1UGF8BI9HQ9MFqiJx5/Nf+eURH7GMG9G3E+OG9wDgkqHd+XbhxoDtpdPbteGiwd148ZP5hCd1papkMeATxxVVTgpLq+nRKYmu7duQV1yJEILE2EjMJsXXSEv3EtU2eMc/8OUmB7suWZbJK64IKm8loKwicMHiso37mtWXWpZlIsOszXa8M4UTEsdCiO0QMF/nSuArIYQL2C9J0h5gMODv52LQKuh/Tkdm/rQBtzvw+8vadQdYuWovQwantfDM6vN/K5bxwbq1uLXQuWShhDFAvM3OukO53DXjO1yahhACSZJpHxXFx1dNCJpyYWBgYHCmsWLzAbQQgkuWYGifjs12vuLyan5ctpWs/DJqnB5MihxS8KUkRKMqMtv25VFYWhVwjC4EH3z/a604vuOKoSxcu4eSiho8hz2cZUnCYlZ56s6LefSNGTjdXmzRiZis4Xid1T4fY01n9fZMOraNRVUUUhPqd1AtKSlm3KgB7KU9mk7QnGlFltE0PYgAFmR0TCKnsKJ2bnXxajrdgkRyj8drWFXkoDnKQgiG9+3U5GOe6ZysnOMUoG51V/bhzwxaKUOHpBFmD17l7/XqvPivmSFvoCebpQcP8NH6dbg07wkvKBXWVHP9N19S5nLh8HpxahoOr4fdxUVMmv5ts+V0GRgYGLR2cguD15wAIEmc0615HuFLN+zjqkc/5P3pK5ixZAsbd+eEFMZWs8r9144AYMHa3SGPXVc4R0fY+PTZW7l5bH8SYsKJjbQzbngGnz5zKx2SYykq842VZIXEjPMQQsfrrAagrNIR8BlQVFSEpmk889QTzHztPjq1jQ3qHHHxkG4B7dgAIuxWHrju3IA+xyZVpneXZDok+3duBbjivF7YLI0XyBZTcPclWZZ47r7xZ1Vzj8bSoDiWJGmeJElbAvy7MtRuAT4L+L8jSdI9kiStkSRpTWFh61m6P9tQFJmXX7opZIMQl8vLrt2nzjj8/fVrcARJpWgqmhAEuh3rQGZ5GevzDjXLeQwMDAxaOyltojCHaP6REh9FWkp80O2NwenycCC3mL+88yMut7fWe7iuB7FyzPPHYlb57XXnctFgX71LRIgADviamtQlOtzGb68byY+v3sPsN+7jb3dfQvukGExq/e6v5rAo2va5CFk14aoqQbiPpjQIISgsLOTAgQPY7XaefPJJUlJ8Lwp7c4qDBmo27cnlriuHYTGptddls5iIsFt49eGrSIyN4M1HJhATacduNWO3mrGYFPp1TeWl3wXu3Apw4aCudG3fJqjwPoKEzw6vS7t4XypIABRJok9625DHOVtpMK1CCHHhcRw3G2hX5+dUIGDPYiHEe8B7AAMHDjTCdaeQTp3akJoSS2ZWccDtsgxu14l3NDpessobiG40Ex5NY2dxEf2TjZuGgYHBmc/Q3h2xWcw4AtzfZVnitT9efdzHLiit5KVPFrBi8340TQSNYlrNKmMGpBMXbUeRZfp1TWFARrt6Uc3R/bvw7tRlBNF6XH9Bv0bNSVVkRvdPZ8GaXWiHD2YOiyK1/3jclYW0NZWSmXm0cUmPHj0YO3YsPXr0QD3stV9W6Tjs7Rw4FbGkoobfXDqI885JY8bSzRSWVtO7S1vGj8gg3OYT8X3S2/LTa/ewYWcOpZUO0ts7jnVZAAAgAElEQVS3CWpNVzt3VeHtP13LN/M38O2CjRwqrgy4oiuAsipHyHxui1klO7+syW2kzwZOls/xDOALSZJewVeQlw6sOknnMmhGhg5JI/dQGd5AeVBenfT0wK0wW4IusXFklpc1Y41uYAS+nGQDAwODswFVkXnr0Qnc/+I3uL0aDqfHZ7EmwQsPXEa7xOPzuK+sdnLb019QWllTK0KD4XJ7aZcUzV1XDgs6pkNyLGMGprNgzW4/0ZcQG87ESwM3BAnEwzePZu3OLCqrXHgO++ZbrRZSE7vxv7/dTITdgtvtxmw2IwdocBIbZQ+Zftc2PgqAjm1jeeiGUUHHKbLMgIx2QbcHwmxSueWSgdxyyUAuevAdyqsC23KYVIWIMAuFZYHztD1ePWgHv7OdE8o5liTpakmSsoFhwExJkuYACCG2Al8D24DZwG8Np4rTgwkTfK2lj62xtFpNXDthEPYGlrVOJvcMGNisHfKCIUkSozoaBQoGBgZnD13ateHHV+7hid9cyG2XDeb3N43ip9fu5bxzjr8Ie9qizVTWuBoUxgA2q4kOSYHzbOvy3H2XcsflQ7BbTCiyhKrIjB+ewZS/3xayS19dyqocPPvBbKqqXUiyLwXBbjVx+2WD+fy5iUSF25BlGavVGlAYg68w7vKRPYO2gA7k7dzcrNi0P6gwBp9v8oQxfQPmKMuSRFpqPG3bRJ3MKZ62nKhbxTRgWpBtfwf+fiLHN2h52sRH8MZrt/LiSzM5cLAQRVGQJLjx+iHccvPwUzq3QW1TuaJbBl9v3XxSo8ePDh+JWQlt7m5gYGBwpmExq1wyPKPZjrdgzS5cnsal4plUhVH9GxbiqiJz7zUjuPPKYVTVuAizmQO2pw5GZl4pD/5rKoWlVfVEu9ujMeuX7Uy6bHCjjzX5xlHkFlawZkcWuqYjyzICwY0X9+fCQV0bfZxQeLwa+3NLsJpV2iVG17qDeTWNR9+YEXLfjI5JTDi/Lxt357B0wz6cLg8Cn3i3WUz8/f7xzTLHMxGjfbSBH506tuHf79xGYVElNdUukpOjMTeQ/N8SzNq9k+93bj9pwliVZUa0a89d5ww4SWcwMDAwOHsI1GWuLrIkYbWomE0qbz16LeYAUdhgqIpMdETjc2Urqp08/tYPbNiVE9DWzKvpFJZV8cumA4zs17lRxzSbVF79w9Xszipk1dZMzKrCef3TSIyNaPS8giGE4PPZa/lwxq8IAbquEx8dzl/vGku/rilMXbARd4D0xyNIEjx337haR4q1O7KYsWQLlTUuhvfpxPjhPQizmU94nmcqp17xGLRa2sRHQPyJ/5E3B7oQPLNkIc4G/IvrInQdoWlIioLUwHJbuMnEX84bw7UZPQP5dhsYGBgYNJFLR/Rgd2ZhQC9gs0nh9suG0DkljpH9OqM2Ifp7PDz40lT2ZBXiDZHiUeP0sH5ndqPF8RHS27UhvV2bE51iPb6cs473pv1S73eXXVDGQy9/y3//djMLV4e2tYsMs5IUFwn4UgUHZrRnYIZ/xz2DwBji2OC0IKu8nEqXq8FxQtPw5OVTs30nnvx8fNlkAlNSIvbu3TAlJSIFSJkYmtqeG3r2bv6JGxgYGJyljB/Rgyk/ryenoLxelNNqVvnjLWO4ctTJv+du3pPL0+/PJiu/rMGxqiI3aBfXEni9Gh98vyLgS4Xbo/Hh978ihbBdBegWpM23QeMwxLHBaYEsSQ2mU3jLyilfshS9sor/Z+++46uq78ePvz7nnDsyySKssHdAZgTRgnviKG5bbW217tHaZevs19Hqr0Na2zrqaqtV68BFnagIiBJEZCMbwkpCEjLuPOfz++OGSMi9Nzd78H4+Hj4k95zzOe9AHsk7n/s+77dyuzEzI/VZWmvC+8qo+Gg+RloqPWZMx8r45iGEZJeLM0eMbNtPQAghDjNet4sn7riEp17/jNfmr6TGH2RYXg7XnHcMR49r+4eev95ezPUPvhRzit2hDKU4eWrH/iywHYevNu6K+RCjozVL12zn+zOn8NXXO2NOvrv63I59Rqirk+RYdAl56enkJCezY//+qMfD5RWUv/s+KIWVVb/tkFIKMzUFSIFqH+Xvvk/GKSdhZfTAZZj0S0vntGGt8/CEEEKIb6QmebjxohnceNGMdr/3o68sSviBQACPx2owLrq9aK154b1lPPH6Ymr8QULheFMDXZw9YyzPzF1CeWVNvbZ2SsH0CUM5Ypj06W+JthofLUSrUkpx7/EnR23lpm2bivmfQF0SHFtWdhZel0Xl/AW4UZw7Op//XnCJdKcQQohupnDNtrhDMA5VWR1g1aaOmY766KuL+NtLC6io8sdNjN0uk7OmjyE12cNTd1zC+OH9cFsmSR4XHpfFJadM4nc3nNWOkXdPsnMsuowZAwfx9DnncsPcNynxfTPeM7R7D05lVYMd42jK/H6OGjaCTH+An844gUkTEpuoJIQQomuxTBMINematxasZsyQPm0TUAyV1X6e/V8hgVD8cRBul0mf7HQuOTXSUalvzx489uuLKCmvpqLaR9+cHlF7Goumk51j0SVorfn38mVcf0hiDFCzZh3KnVhLGo1myc4dpKSm8sF777VFqEIIITqBk6aMwGqknVxnsPzrnXG7dVimQV5uBleefRRP3/XdBi3YcjJSGNovRxLjViQ7x6JL+PE7b/Hm+nUNHsrTjkNozx7MzMTrxAylCHncrF69GsdxYk5AEkII0XVdec40Plq6gYoqX0JT+gylODK//dudWVb8n0Fjh/bhsV9f1E7RCJCdY9EFLNy2lTeiJMYQqTcGVdeb2GWYHD9oCGYjvYoPjBkNBoOtHK0QQojOICcjhX//32XMOn4crgR2kDPTk5rc47g1TBjRDydG8u71WJw1fUw7RyQkORad3u8Wzo95TNWOtzZQDOiRwRUTJzOuV2+mDxiEqWJ8eWvolZIKgDvBcgwhhBBdT05GCr+47ETeefhaRgzoSbK3fumBAlyWQf9eGfzjtovbfBhJNF63i1u+cxzeQybRui2TvNwMTpk6qt1jOtxJWYXo9DbuK415TBkGeUMGc2RKOgP79mV3VSW2oxmWlc2Xe3ZR7vc3uGZ8796U79tHfn6+lFQIIUQ34jgOf395Ia9+9BX+QJh+uT245TvHM3XsQP5596UsXrmFhcs34XKZDO6Tjdtl0i83gyOG9unQ6ajnHHsEPTNTefSVRWzYUUKK1805x47lB2dNxeOWVK29Kd2UPidtrKCgQBcWFnZ0GKKTmfzY3yjz+2Iev7rfAOb953m+CvixHQelwHY0qW43+wP+BuUYLsPkuIwsbv/lLxk3blzbBi+EEKJdOI7DrF88ya6Shv3wb7xwOpedcWQHRPUNrTW2o7vEQ4KHC6XUUq11waGvy7+Q6PTOHZ1PrN/nvZbFcUdOobCinOryckKOTdC2sbVDRZTEGCBUWcUercnPz2/LsIUQQrSjJ9/4PGpiDPDwi58QCDatrVtrKa/ycc8T7zD9qj9zzBUPMevnT/DO4rUdEotIjCTHotO7/sip9ElNa/CQnaUU/zznPB77cimp048BrbGrquOuZVdVYzs2SdOnYUUZKCKEEKJreumDL2Me08BLHyxvv2Bq1fiDXP6b5/jfojUEQzYaKCqu4L4n3+W5d5a2ezwiMZIci04vw5vEW9/5HtcWTKFvahrZ3iTOHTWady/7AQX98li2exdmRg8yTjkJ5XET3leGXVXFgZIhrTV2VRXh0n0oj5uMU06iX79+HfxZCSGEaE2+QPyd4ZKK+JsnbeHNT1axr6KasF1/6p0/GOaRVxbibyRm0TFk60x0CT28Xm6Z9i1umfatBsdS3W7K/X6sjB5kzTyd0O491KxdR2j3nrpzXL17kTxqJK7evUjxeLl0nEzGE0KI7mR4/xy+2hB7/PNxk4a1YzQRby9eiz8YjnrMNAy+/LqIo8YOat+gRKMkORZd3nfGjmf2Z4sI2DbKNHH364u7X1+046BrX1O1XSmSXS5OHjKM4wYO7uCohRBCtKafXXoC37v72ajHcnqkMH5E+7xjuKe0kv8tWs2+/TWUV8Z+mBygE/VEEAeR5Fh0eZdPmMizK5ZTVFn/QQxlGHVJcZrbzcQ+fbnsiAmcMHhIh7bsEUII0fpGDerFXVeeyj1PvltvqEbPzFSe/b9L2yWGF99bxp9fnI/WmlDYwRVn+p3tOExsp4RdNI20chPdwkurV3DbvPcJOU7U4zOHj+Qvp5/ZzlEJIYRob47j8Pana9hdWsnR4wYzalCvdrnvmi17uPr+F2KWURzM67a4/MwpZPVIobomwBHD+nLEsI7ttXw4itXKTXaORbdwwuChGOqDqMeSXS5mjZK2bUIIcTgwDIMzjmn/kcvPv/sFwZAd9ZhpKAylCDuavjnpTB7dn6fe+AzDMAiFbVyWyeC+Wfz5Z+eRnuJt58jFoaRbhegWspKSuf7IqSQd0p7Na1mMze3FsQMHdUxgQgghDgtbd+3DifFuvNfj4p5rzmDB4zdx77Vn8O7itQRCNr5AiLDt4AuE+HpbMXc8MredoxbRSHIsuo0bpkzjwZNOY3hWNm7TpGdyCtcVTOGZc87DlDHRQggh2lBuZlrMY7bt0L93Ji7L5J9zlxAINSy9CNkOS9duZ09pZVuGKRIgZRWiW5k5YiQzR4zs6DCEEEIcRjYWlbDoq80xj/fvlcHw/j3ZW1bJms17YnapsEyD7XvL6JUdO9EWbU+SYyGEEEKIFvjTcx8RDEevNwaYPnEoP7znOdZvKyYU57waf4jsHiltEKFoCkmOhRBCCCGayXYclqzeFvecZ978HEdDYx3CDKXYsbeCwX2zWzNE0URSiCmEEEII0UxaNz7Mw3F0o4kxgKM1KzbsbKXIRHNJciyEEEII0UyWaTBqYG7ccxKdKOGyTHqkJrU8KNEiUlYhhBBCCNEMjqP5oHA9ttM6A9WUgpOnjmiVtUTzSXIshBBCCNFEjqP59d/e5NMVW/AFQi1eTwHXnndM3JZwon1IWYUQQgghRBMtWL6p1RJjALfL4oihfVtlLdEykhwLIYQQQjTRKx9+1WqJMYBGs2bLnlZbTzSflFWIbkdrzZPLvuDp5V9QFQwwtmcvfnbMdMb36t3RoQkhhOgmKqp8rbqeZRpkpMnDeJ2B7ByLbiVk2xz3zBPct+Ajiir3UxEIsHDHNs578TleXrOqo8MTQgjRTUzJH4Bltl4apTXMmDi01dYTzSfJsejStNbs89XgC0Xe2rrrow/Yvr+iwXmO1vzyvbfZW1XV3iEKIYTohi44aULC5yoFyV5X5M+HHDMUeN0W91xzBkkeVytGKJpLyipEl1QVDPLfVSt4ZOnnVAQCaK2ZltefT3dsj3mNAxzz1GNM6ZfHmSNGcerQYWQlJbdf0EIIIbqNnIxU+uSks31PecxzDEOR4nVz37UzMUyDvJ49KCqu4OMvNrB68260oxk9uDcXnzKJAb0z2zF6EY9KZGJLeykoKNCFhYUdHYboxL4uLeWOD9+ncFcRziFfu4rEG61bhoGpFL/61rF8b/zEVo9TCCFE93fLn15lwfLNMY+fdORwbr7kOHplSXu2zkgptVRrXXDo61JWITod23FYsXcPX+zaSSAcrnt9x/4KzvvvcyzZuaNBYgyJJ8YAYcchYNs8sHA+nxftaIWohRBCHG4uPHkiXnfDUggF5OVmcN91Z0pi3AVJWYXoMOtLS1ixdw8ZXi/TBwzCbZq8t3EDv573Lv5wGKUUjtbcPGUaV04q4K9LPsMXCjUpCW6MLxzmkcLPmdIvrxVXFUIIcTiYOmYg58wYy2vzVxAI2Wit8bgt3JbJ/7vpbJQ6tMJYdAWSHIt2tz8Q4Oo357B8z24MpTBQKAU3HHkUf/psEf6DdosBHvpsEcluNx9s3oidQBlQkmXhO2SNeL7eV9rkz0EIIYRQSvHTS4/nlKNGMufjFezbX8Pk0f05e/pY0lO8HR2eaCZJjkW7u/F/b7Js9y6Ctl3v9QcWzseJcr4vHOahxQtxGWaja3tNi5unTOOltavZkGDS2zdN3vISQgjRfEcM68sRw2S6XXchybFoV9sqyvm8aHuDxBiImhgfUOrzYSrV6EN3aR43w7Jz2Fm5P6F4ki0XV0ycnNC5QgghhOj+5IE80a7Wl5bgNhvfAY7G1rrReuPKYJD5WzdTE4o/0tNA4bUszs8fw8lDhjUrHiGEEEJ0P7JzLNpVmtvTpHrgpnIczfrSUkylotYnG0oxOqcnU/v159zR+eT3zG2zWIQQQgjR9UhyLNqN1pqHFi8i7MQroGiZoGNTHQriMkxsu2ES7jJMZp82kyGZWW0WgxBCCCG6LimrEO3mqz27+Wrvnja/z5byMs4dnU+SVf93vyTL4qIxYyUxFkIIIURMsnMs2s2C7dsIRtnNbW1B2+Z74yYyuU8/Hln6ObuqKumTmsa1BVM4Z+ToNr+/EEIIIbouSY5Fu/GYJqZhYEfpVNGa3KZJVSjIrNH5zBqd36b3EkIIIUT3ImUVot2cNmw47TErKGg7DM/Kboc7CSGEEKK7keRYtJu89B58f/ykBrXArW3WyNGkeTxteg8hhBBCdE+SHIt29ctjpvPgSaeRlZTUJusroNRf0yZrCyGEEKL7k+RYtCulFDNHjOSF8y7C2wY7yBqYt3kT1cFgq68thBBCiO6vRcmxUur/KaXWKqW+Ukq9qpTKOOjYr5RSG5RS65RSp7Y8VNGdDM3K5uap0/BaFoZq3UpkW2vOffE5KgOBVl1XCCGEEN1fS3eO3wPGaq3HAeuBXwEopfKBi4ExwGnA35RSzZsZLLqtqydP4YXzL2bWqNFktHKN8NaKcu6Z/2GrrimEEEKI7q9FybHW+l2t9YHGtYuBvNo/nwM8r7UOaK03AxuAKS25l+iejsjtxS+OmUGwlafmBW2bN9avJdCGo6qFEEII0f20Zs3xD4H/1f65H7D9oGM7al8TooE75r3fZklspdQeCyGEEKIJGn0iSin1PtA7yqHbtNav1Z5zGxAGnj1wWZTzdYz1rwKuAhgwYEACIYvupCYU4qOtm7F11C+PFnGZJhleb6uvK4QQQojuq9HkWGt9UrzjSqnvA2cCJ2pdl+HsAPofdFoesDPG+o8BjwEUFBS0foYkOrXKQKDVH8g74PvjJ2IZ0pBFCCGEEIlrabeK04BfAmdrrQ9uLvs6cLFSyqOUGgwMBz5vyb1E95SdnIzLiP2s5pDMTI7q17/uCzXRL9h0j4ebpx7d4viEOFzt3FrCovdWsvbLbWit0Vrjqw4QCkodvxCie2tpo9mHAQ/wnors/i3WWl+jtV6llHoRWE2k3OJ6rbXdwnuJbsgyDH40qYC/F36G75C64yTL4tZjZnDSkGGEbJvqUIh3Nqxn3pbNpLrdLN+ziy3l5TiHlGR4TIu7Zpwgu8ZCNEPVfh/33fAvVhZu5sCbOp4kN26Pi4rSKpRSTDl+FNfccQ49+2TEX0wIIbogpdug1rO5CgoKdGFhYUeHIdqZozW/+XgeL6xagcswUCjCjsMvjpnO5RMmxbxuZ+V+znvxOSqDQWpCIRSQ5HJxwuAhPHTqzDYr1xCiO/vJBQ+zbvk24v1oMAxFemYKj8z9KT2yUtovOCGEaEVKqaVa64IGr0tyLDqL4ppqPtuxHcsw+daAgaS63Y1e4wuFeH3dGuZt2Uy6x815o8cytV8eShJjIZps4+qd3DRrNo7T+M8Fl9vi/B8dy/d+LDOehBBdU6zkuPXn9wrRTD2TUzhzxKgmXZPkcnHR2HFcNHZcG0UlxOFjxecbE0qMAULBMJ/87ytJjoUQ3Y4UZQohhAAgGGjaw3byDo0QojuS5FgIIQQA3zrtiCadf/zZE9soEiGE6DiSHAshhACg78AcBg7vlfD5Z353WhtGI4QQHUOSYyGEEHXuffJKsnLTMMz4JRNKwX03/It1y7e1U2RCCNE+JDkWQghRJ6d3D56a9yvO/M60uAmy1rB88UZ+eemjrPh8UztGKIQQbUuSYyGEEPW4PRZbv96DYzfeuSLgD/GXu15ph6iEEKJ9SHIshBCigar9voTP3bGxmNK9+9swGiGEaD+SHAshhGhgwrRhWC4zoXO11qxeuqVtAxJCiHYiybEQQogGTjn/SCDxCaqfvr+q7YIRQoh2JMmxEEKIekp2V/Cr7z+OUon/iKisqGnDiIQQov3I+GghhBD1zL7tJcpLKxN6IO+A3v2z2jAiIYRoP5IcCyGEqFNd6ePLTzc0KTEGKC4q58VHP8QwFEedmE/ekNw2ilAIIdqWJMdCCCHqVFf6MS2DcMhu0nVLPl5L4fx1KEPxr9nvctxZE7jurm/z+Ydr2bRmJ5k90zh25gR6ZKW0UeRCCNE6JDkWQohuaPniDcx5agG7d+yjZ58MZswcx7dOG4c3yR33uqye6ZiWCYSadD/H0YCG2pz6ozeX88n/VgAaX3UQt9fFEw+8xU9+dwHHnTmxWZ+TEEK0B6V10946a0sFBQW6sLCwo8MQQogu7Zk/vs2rT39CwFc/wbVcJhddczzfvfFklIo9/e4/f/2AFx6d1+B6w1SYpkEo2LRd5YN5vC7++saP6TeoZ7PXEEKI1qCUWqq1Ljj0ddk5FkKIbmTzul28+tQnBPwNd37DIZv/Pv4RlsuiYMYIlny8rrZGeAwDh/eqO++ia4+noqyKuc9/hssyQYFja668dSb7iiuZ88wCQoEQSilCwTBN2WOxbZs3n/2Uq287uzU+XSGEaHWycyyEEN3IY799g9eeWRD3gTrDNLAsg3DYRimFaZlMP30ct/zuAgwj0r6tpsrPuy8VsmbZFnL7ZnDh1ceTlhGpF7Zth5pKP26PxcVT/w+/L9ikGCceM5z7n/5R8z9JIYRoBbJzLIQQh4GK0upGO004tkPQdmo/0thhhwVvf8Ww/L58+/LpLFv0Nb+55mkcbRP02SSnenjnpUJ++8xVDM3vSygYZv7/ljNvzhd4U9yEgmHsuvXiMy2D/kOlk4UQovOS5FgIIbqRcVOHsOi9lfhrmrabG/CFePHxeeQOc/Oj839Nec3eumOpZdn0TBnErd9/hMff+Tk/v/gRineX19UkK6WgtoRZAW6vC601QX+4wX1My+SsS49u9ucnhBBtTZJjIYToRo6dOYGnfv+/SKlDE6rm/OFKFq/+mF23LqYmWI7XTEMphdYaX7iCzeWF7PWv587r0tlTtK/eQ3laawxDkZuXRd7gHIo2F7N7xz6AujXcnsiPm5vuOZe8wfIwnhCi85Lx0UII0Y14k9388cXrGTC0V+Mn1/KHK9m471MsN7hJxcRb181CKYXbTCbJ6kEw5Of1d56lsqa8wRqOo9m9rZTCj9exa9s+dG2VhdYaw1ScduFUnv7oV5z47cmt8nkKIURbkeRYCCG6mb4Dc7jy1pmYVuPf4h3tsLV8KZZpMn7KaNIzk2Nel+RJxXEUW8uX4ujEaowh0uli3VfbycxJS/gaIYToKJIcCyFEN/TKk/Oxw40nsNXhUsL4GTh0AKMnDmDI6L7E6s0WDtn0SO9BwK6hOljSpHi+XrGdULBhDbIQQnQ2UnMshBDd0J4dZXGPj5s6hOFH9Ofd+S8zMG0iw0cNBsDjdWNaJrbdMJHVGnzVQUzlorh6C2meJnSdUGAY3wwesW2Hz+at5r2XCwn4gkw9MZ8TzpnEFwvWM/c/i6ms8DH+qKF8+/Lp9OqXmfh9hBCihSQ5FkKIbmjg8F7s3l4adRPYcpn8+P7z2bG5mDnzyhg7YFTdsd3b99FY/3uXkURVqBStddxJewcbN3Vo7VjqyA70HVc8wdrl2+q6aqz6YgtPPPAWhmHUDTDZvnEvb7/4Ob/751WMHD8gofsIIURLSVmFEEJ0QxdcdRxuj6vB6y6XSf+huVx/9mzuu+mfrFyyiVefWkDh/HWRzhTVgUYn3kUSYo2jExsj7U1215uI9+azi1jz5dZ67eaC/jChoF1vsl84ZOOvCfLbHz/baMIuhBCtRZJjIYTohvInDeJHvzoTt8fCk+TCtAy8yW5y8zIp2lyMrzqAvzpMKOwQDttsWLWDFUs20yMrpdG1I4mqwlBm/BMVTDspn9kv38igEb3rXn79X4vqeiQnomJfNRtX70z4fCGEaAkpqxBCiG7CVx3g47e+ZMPKInr2zeDEb0/mW6eNY+G7K6ip9DN60iCe/v1cijZHHqZTSpHqysYXrkCFklnzxRZGje+P22thh+2YO8ghx0eqK7vRkorREwdy598vb/B6ZXlNkz4v0zSo2u9r0jVCCNFckhwLIUQ3sHH1Tm697FHC4Ugpgstt8dzD73PjPedx7MzxfDZvDVvW7WLDITuwPVMGsbm8EIj0Kn7tmQWEw07c0gpbh+iZMqjRmDKyUqO+Pmhkb1Yu2Zzw5xYMhBk8sk/C5wshREtIciyEEF2cbTvcccU/6u2uHmib9tCvXuQvd5iYloljO/VqegFS3Dl4zGSCtg83SY22fwvaPjxmMinunPhBKRh75OCoh75748ncffVTCZVWeLwujjtrQkLlHkII0Rqk5lgIIbq4uf/5lKpKf9Rjtq0JBsL4qgMNEmMAQxkMzJgMOISc+KULQdsHOAzMmIyhGvnxoeFfs9+laEtxg0MTpg3jmtvPwZPkIjnVQ1KKB5fbYvKMkWTmpJGU4iE51YvLbTH9jPFcf/es+PcSQohWpDrTE8AFBQW6sLCwo8MQQoguoXhXOXf+6El2bComHEqsc0Qs/nAl2/Z/gT9UjalcuIwklFJorQk5PmwdwmMmM6zXUVg6Ce00/rPDNA1OPq+Am+87P/o9a4J8sXA9QX+IsUcOIad3DxzHYd3y7VTt9zF8bB4Z2dFLM4QQoqWUUku11gUNXpfkWAghuh7bdrjy5AfZW1SGk0CimgjDUlRU76G4egtVoVIg0pUi1ZVNz5RBZPXoww9uOYONq4v48PVlCRZWRzYAACAASURBVN3Xcpmceek0Zpw+nqH5/XB7pJpPCNE5xEqO5buUEEJ0QV8sWE/FvupWS4xdHhOXy8IJ55LmyUXrSB9jQ5l1XSk8HjdnX3Y0G9fsZMHbK6KWaRwqHLKZ89QC5jy1AI/XxawfTOfSm0/BNKWqTwjROcl3JyGE6IJWLd2CrybQauspFHc/+gPSM5IxTIVSCtOwvkmMvS5+/vuLMS2TEUf054KrjsPjdZHggDwAAv4Qrz79CX+965VWi1sIIVqblFUIIUQX8/q/FvLY/W802lkiUS6PxU33nMdJsyYT8IeYP3c5H7/5JVu/3oMCxhQM5sKrj2fwqPrt1Das2sFbzy1my/rdbFhVhOM4OHbjP1NcbounP7yVrNz0Vok/Hkc7BJ0wHsOV8KhrIcThQWqOhRCiG1hZuJnbf/iPJk2Yi8c0DW667zxOOe/IFq2zc2sJ/338I97575JGH9ZLSvFw833ncezMCS26ZzwBO8hTm+fy1s5PCTphUi0v5/c/ngsHnIDZWKcNIcRhIVZyLN8hhBCiC3np8Y8IJlDrmyjbdij8eF2L1+k7MIeb7z2fI2eMbLzUQoHb42rxPWNxtMMvlv+dN4oW4neCODjsD9fw7NZ3+cPa59vsvkKI7kGSYyGE6EK2bdgbd3pdc5QV72+1tb5z48mNJr6O7TDx6OGtds9DLS1bz+aqnQR1uN7rASfER3uXUVTTsPeyEEIcIMmxEEJ0Ib37Z7X6mqMmDmq1tUaO68+tD32X1B5JGEbDLWSP18XVt52NN9ndavc81MLir/A5wajHQjrMIxtfa7N7CyG6PmnlJoQQXch5V8xg9RdbWq3mGOCEcya22loAR52Yz/OL72Tl0i18+PoyvvhkPdWVPgaN7MN3bziJSd8a0ar3a6rCfWvYVLWTIal9OzQOIUTnJMmxEEJ0IZOnj+Sc732Ll5/4uFW6VVguk7zBPVshsvpMy2T81KGMnzq01deOpzrsZ3n5hrjn2FrzRtFCbh55QTtFJYToSqSsQgghuoi1X27jz3e8zM6tJfTqlxnzPE+Si9ETB2C5zbjrWS6TE86eiMvdffZJ/rDueXb7SuOeo9Hs8e9rp4iEEF1N9/mOKIQQ3ZTWmofveoUP5nxBMBBGOxoVpZ73AMMwyMhOJRy0Y55jWSb9BuVw1W1ntUXIHWJ/qJrFJasIE39H3aUsRqYPaKeohBBdjewcCyFEJ7f4g9XMm7OMgC9U10M4Xi/hcMhm9KRBeJKid40wDMWJsybz8Gs/JiUtqU1i7gh7/WW4jMT2fGb2mdbG0QghuipJjoUQopN79alP8Puid184lCfJxRmXTOX0i6bGPMflsbjy1plYrvhlF11NtqcHISfc6HlKwf1r/sXL2z7is9JV2E7sHXYhxOFHyiqEEKKTK9ldEfOYaRqgwDRN3B6L8390HBdcdSyGYXD7w9/j3uv/iUYT9IdxeyyUUtz2l8tITe8+O8YHZLrTmJQ5gqVl6wjr2Alv0AmzomITqyu24DZdeE03D46/lkEpfWJeI4Q4fMj4aCGE6OTuveGfLHp3FdG+X7s8Fo/M/Sler4seWSmYVv3d4PLSKt57uZBtG/cyYGguJ59XQEZ2anuF3u72h6r5ybK/UBwox2cHEr6uhyuF/0y7O+GyDCFE1xdrfLR8FxBCiE7ugquOp/DjdQQOGRvtclsceewo+g7IjnltRnYqF1x1XBtH2Hmku1J47Mhf8Hnpat7bvYTFpasJ6cZLLYJOmEUlKzg2t3V7Pgshuh6pORZCiE5u5Lj+3PB/5+LxukhKduP2WHi8kXZtP33gwo4Or9MxlcG0nLHcOOL8hK/x2QG21expw6iEEF1Fi3aOlVL3AOcADrAXuFxrvVMppYDZwBlATe3rX7Q0WCGEOFydNGsyR588hs/mraGmys/oiQMZMlomvMWT6U7jmOyxfFyyHE38EkKv4SbbndFOkQkhOrOWllX8P631HQBKqZuAO4FrgNOB4bX/TQX+Xvt/IYQQzZSc6uX4s+Vt/6Y4KmcM80uWN5IaRxybO6HN4xFCdH4tKqvQWu8/6MMUqPv+cw7wTx2xGMhQSsljwEIIIdrV3F2LceKkxhYmHsPNnWN/QIrlbcfIhBCdVYsfyFNK3Qd8D6gAjq99uR+w/aDTdtS+tqul9xNCiLagtUb734LKP4KzGzDAPRGVdhvKNaqjwxPNVOQrjnnMQHFCr0lcOfQsMt1p7RiVEKIza3TnWCn1vlJqZZT/zgHQWt+mte4PPAvccOCyKEtF/dVdKXWVUqpQKVVYXBz7m5gQQrQlXXEnVPwUnB1AGAhC8DN06XnowMKODk80U3XYH/OYg5bEWAjRQKM7x1rrkxJc6zngLeAuIjvF/Q86lgfsjLH+Y8BjEOlznOC9hBCi1ejQSvC/TPTf4UPosh+hXRPAewoq6XyUEb1PsFP9b6h6CPR+wADXFMh8CMPIasvwu60NlUU8u/VdVlZswmu6Ob3PUczKm0GS6Unoels7+J34kwVTrO43DEUI0TIt7VYxXGv9de2HZwNra//8OnCDUup5Ig/iVWitpaRCCNEp6ZpXiewWxxKGUCGEVqGrHkWnXAG6CmUNBu+pKOXFqbgPfM8cdI0DocWw9zic3IUYhuxONsUXZeu5c8U/CDi1vZ1D8O8t7/Lx3mXMnvRjvKa70TUMFEmmJ+YwEI9y4VLda4S2EKLlWtrn+He1JRZfAacAN9e+PhfYBGwAHgeua+F9hBCi7dR7tjgeH+hSqPo9VP8Nvf8u9N7pOIHCQxLjg/lh/73f3Mqpwal+AafsRpyK29HBL6JOvjucOdrhgdXPfpMY1wrpMFuqdzN356cJraOU4ow+R+FSDfeBXMritL5HEek82ny2Y2M7sUdVCyG6nhbtHGutz4vxugaub8naQgjRXpTnmMjDeHF3jw/mRP6nayL/L7si/un+d4AH0OEd6H0XglNDpAW8QvveAPeRaNdklJkOntNQZuyJd92F1pplZet5a9enVISqmZAxjJl9jybTncamql1UhKqiXuegeXH7PPJ7DKI0sJ+BKb3IS86NeZ/LB5/BivJNbKvZU1dikWR66JeUwxWDZzY7/g2VO3hkwxxWVGxCA2N6DOKaod9mZPqAZq8phOgcVGfasSgoKNCFhYUdHYYQ4jDjhDZA6VlAc3cAXUAoznEPRu8VOKUXQGgFdcl1PQrwABrSbsVI+W4zY+n8tNb8v7X/4ZPi5XUJq1u5sAyTP068gZqwn1u+fDjuGl7TjYFBWNuMTBvA3WN/QLorJeq5tmOzuHQ1H+6NzKI6NnciR2ePwTSaVlLhaIf1ldvZVLWLv65/meAhv0x5DBe/n3A9o9IHNmldIUTHUEot1VoXNHhdkmMhxOFMaz+6+ARwSonRVCcBBtET3lquKagev0OXnA5Er3+tz4vKegbl7p4DPxaVrOC3q/8d9WG5Pt5sHhx3LZd9fm+UK6OzlMmQlL48PPknLS6TiGVJ6RoeXPscASdEwA7G7J08Jn0wD026qU1iEEK0rljJcUtrjoUQomvzz60tj2jJRoFDZA5SNArS7wZnL6jGHyKLCKCr/9GCeDq3OTs+idlFoixYSXm4ClMl/uMprG221exhXeW21gqxng2VO/jNqqcoD1XhswNxh4qs3r+ZkJNoeY4QojOS5FgIcVg68K6ZDi75pna4RUJg9D/ktVTIfBrDNQysQaAT2TUG0BDe0AoxdU5lwcqYx0xlUBX2cXrvo5qUIDto1ldub/B6ZaiGLdW7qAr5mhUrwL+3vkswwYS387wXK4RorhZPyBNCiK5E+99HV/4B7E1oPJGkFZPE6o0VsdOfIOgyyH4fqmdDYHHkdP9baDMPZfVHe46FwHuJBWoemmh3H6PSB7KtZi9OlFKUoBNmUEpvxvYYwqbqnWyq2tlor2KIJNUH1xxXh338cd0LfFqyCpdhEnJspuWM4ZaRFzW5t/Gqis3oBNPeTFcaLiPyo1Vr3WZlHkKItiPJsRDisOHUvAD77wMOTE3zQ3htvEsOoYmbIOswlH0HnHIiyTLgeznSCSPrebCOgMAHxK1PBiAJlfKDJsTVtVzQ/3g+3PsFAaf+34NbWUzJzifHkwHAQxNv4svyDSwuXcV7u5dQGY69w+84DkdljwEiSenPvvwbW6t3EdI2ITuy6/tpyUp+7ivlr5NvaZC07vbtY2HJVwSdMBMzhzMybQBKKRaXrKIiVJ3w53Zc7kQK963liU1vsbGqCJdhcWzPCVw55EyyPOkJryOE6DiSHAshDgtaB6Hyd3yTGDeXQexd5iA4+6jfEs4GXY3efyeoZOInxgbggpQfojzHtDDOzmtASi/uHPMD7ln1NAEnVLcrOzClD78Y/Z2685RSTMwczsTM4czZ8UncNa8fcW7dYJBl5V+zo2YvIV3/3ymkbXb4ivmyfAMTM4cDkUT6H5veYE7RJ2gNtrZ5ZkskcfYoF/6D4ktEX282d698sq5Hc9AJMW/PUpaWrePxI38Rs6OGEKLzkJpjIcThIfRlIwWhCqyxQGMPzcV6S96s/S9GbWpoJTiN1Bybo1E5r2Gk3Rz/vG7g831r8DvBeonn11Xb+ev6l6Oen2zFHxn9WtGCurrgL8u+jlmK4bMDfFn2dd3HH+1dxutFCwk6YUI6jIPG1g62dqhxAlFLP2LxGC6e3vJ2g+ElNg77g9W8tP2jhNcSQnQcSY6FEIcFbVcB8WpXdWRn1+jbyEqxdp5dxP+W6kB4efylnSIwu3+P3O01e3mtKPpO8Dt7lrChsqjB68NS+8Vds6immI/3LgPAa7gxY/xbmMrEY7rqPn5+2wcJ1TQnwtGakBO933UYm/9se58/rnuB6nBL370QQrQlSY6FEN2eDiyA/T8h/qAOQFeB2bOR1WJ1LQgRv4ex3fj9CYK9JXpo2sapfhan+GScPRNxSmah/Qk+3NfJPL1pbtzjz2z5X72Pv9i3jtUVW+Je43eCvLP7cwBm5I7HNGIlxwYzek6o+3i3vzSBiBMT1jZBHb+rxdu7PuOqJQ8SCLdOQi6EaH2SHAshujXtlKPLrwfdWCsvN3imo5IvJnbpRLzOA/G6XSQ4iU3bRKbkHfKy1ujym6DyQbC3gq6G8Cp0xc9wqv6e2NqdSHGgPO7xfYEKoPbz1ppnt77XaNIJ1PUXzkvO5ay+x+A16pfIeA03Z/c9hrzkb34Byvb0aGr4QP2vhAN/TqQ2WaPZGyjjysIH8IUTbe0nhGhP8kCeEKJb077XQCdQN6rcqORLwcgG30sQ/BI4kFAbgAfMvmBvbHoQqi/ohj14GzD7gBmlfCC0BIILD4qnlvZB1d/QSReizOymx9WOdvlKeGLTW3xauqrxIRlKMfPjn9clxIk0Q3MbLqb3HF/38dVDz2F0+iBe2PYBe/xl9PZmcdGAE+qdA3BB3vH8bcOrCZdWuJSFy7C4sP/xLCpdSVXIx95AGWHdtNHje/xlPLH5LW4Yfm6TrhNCtD1JjoUQ3VtoI/HLHSwwB6Ey/oAye0VeyvwH+OZgV/2boL8cd+qRmGlXg70FXf4zGiSpcaWCZwL49xC/5tkFSecRKb2ov+Opfa/H3vlWRqQ9XPKFTYipfe3ylXLt0j/iC/vjTpc74NBhHon0igg6IcakD677WCnFsbkTODZ3Qpyr4KTeBSwuXU1h2RpCTjjqvSxl0jcpB5cymZKdz7f7TSfLk853B53C15Xb+emXfyVsNy051mje3rWY64Z9G6MJw06EEG1PkmMhRDfXyMNPqT/DSP1h3YfhcJjVq9fw9tubWbMmC8gCSsnPn8Opp57KqLzvYAX/TaSMIhx5iE8DxOrBG4Lk70Dg/cazvKq/o6sfhYw/ojzHffO69hO7t7LThMl7HePpzXMTToxb4p9b3ua3469O+Pz3di/h0Y2vEbBDaA1ew8OglN7s8ZdRGa7BUIo0VzLXDZvVYMf5AEuZddMWmyrkhAk5YTxmomPFhRDtQZJjIUT3Ft4U/7i7oO6PRUVFzJ49m+LiYlJSUhgwIDIIQmvN1q1b+dOf/kTPnj256fon6Je9DK2rUe6paCcQeeCvwe6uCa7RGO7J6MzH0fuuI5KsR9tBDkX+06DLboacV1HWEACU53i0/32iJ+AKPNMS/uvoCItKVjaaGFvKJN1KZl8o9mjpxnxRtp55e5byyo6PKQnsZ1BKby4ZeBLjM4Y1OHf+3i+Zvf6/9dquhXSYTdU7+e0RV9MrKQtbO/T2ZsWdcjcwpTfJlgd/sOG/abx5igDJlhe34YpzhhCiI8h7OUKI7k3HS7aSUTqScBYVFXHvvfdSU1PDwIEDycnJqUuKlFLk5OQwcOBAampquO93T7Gz4kyMtFtQnmNQ3uMh6RLAS93DdyoFjJ6ojNmRj82BYKYTv7TigCC6+qlvPvSeDGYvGu5neMHzLZTVMPnrTBJ5UC2sbcpDVS26j4PDH9e+wLrK7ZQGK1hato7bvnqMN4oW1o9Hax7f9EaDfsQAASfEk5vnkuvNpE9SdszEWGvN9pq9bK7exRWDz4x+TiPxZrhSZby0EJ2Q7BwLIbo3dwH4thG9m4QNrhGEw2Fmz56NaZrk5OTEXS4nJ4eSkhJmz57N/fffj2VZKKVQ6beik2ahfXNAl6Pc08B7Gkq5I10XSi+O9DFOiA2hr+o+UsoN2c+jK+6AwEegLNAaki9Apf0i0b+JDjMpcySLS1c2miy2tOxCoQjo+glvwAnx969f5aj00WSnZGAYBlVhHyW1HTGiWVO5Ne59lpdt4Pfr/kNZsApDKUJ2OOYucbzd46pQU2rXhRDtRZJjIUS3plKuQPvepOFDdF5IOhNlZLF65VcUFxczcGBiAzhycnLYsmULq1evZty4cd/cyzUS5fplg/N1xa1NSIxrGb3qfx5GJirzYbRTFRlRbeailLdpa3aQHw45g2Vl6xPqCGEqAzuR7iKHMDDqTbNzbIfqLaWUfr4V/7ZyLu2xjr5JOeTn53PcSSdgh+2YHfZcyiTs2CwtW0tpYD8DUnoxJn0wSik2VBZx24rHou46RxMv3c/wpDbhMxRCtBdJjoUQ3ZqyhkDmI+iKW2ofbFOgg5Fd3fS7AXj77bdJSUlp0ropKSm888479ZLjaHRoFfjfaGLQSaiUS6MfMlLB6FpJ1aCUPvxp4o08/PUrrK3cGjf5tZTJUdlj+bRkRUI7yaYy6OPNJmiH2BuM9E/2F1ex/ZVlBMtqMJJceHulkpnVkwFp/dm6dSt/+/PDlOsivDMH4elZ/9/dxGB8xjAuWnQnYW1jaweFItebye/GXcPTm+cmnBjHY6CY1W9Gi9cRQrQ+SY6FEN2e8kyDngsg9GWkBtkag6qdhOc4DmvWrGHAgAFNWjMnJ4fVq1fjOA5GjGlsALrmeeIPCDmUB7zngnt6k+Lp7Ial5fHQpJvw2QGWl23g3tXPNEgyDRQDkntx15jLcbRDWbCSKz9/gGonescRj3Lx14Kfcuvyv1NW+yCfv7iKzf/+DAyFt3d6ZF1l0MubWVc7npOTg7PbYP6zSxj43SNx1SbIljJJsbwsL9/QYJd7R00x1y79AxUtrIs+QAPH9Iz/i5UQomNIciyEOCwoZYJ7coPXg7VdBpr6YNSB84PBIF5vnPIGezeJdep1gXsqKvU61EEdNLqbJNPDUTljuLD/CbywfR62Y2PjkGR6cBsWGs2pH/8US5lMyxlDTYzEGCCoQ7y24xPKQ1XY2sGxHba/sgwMhbtHZMqhqQx6ejLIdKfVu3Zw7/5YSrHl3T1kXjYOy2VxfO4kXIbJf7d/1OBeDk6rJcYH/h62VO1ifGbnfphSiMORJMdCiC5Haz869DX4/wf+t4FgZPRzyrUoq2k7wG63u3ZN3aQE+UBv2wPXx77BJAh+Rsx+y0ZvSLsd5T35sOpc8L3Bp3FCr0m8t3sJFaFqUqwk5uyYz4ZQpDY7pMPML14ed41UK5kPi7+om05XvaWUYFlN3Y4xQKqZTEHWqKjX9++Vh70lzC0ZF9SVx/xm5VMEW6FsAqCnJyPmqGwHhySr4ahwIUTHk1ZuQoguQ+swzv4H0Humwr7zoeYf4OwAZy/45qBLz8EJFOJUP42z7/s4Zdej/R+i49S4GobB6NGjKS0tbVIsJSUl5Ofnxy2pAFDJF4GK9uSXAnMoRu58jKRTDqvE+IC85Fx+MGQmN4+4gI/3LqsbF50It7KYmpWPz/5mAErp51sxkur3Da4MVzN316csL9sQdZ0DteMH9PJmNvGziO3E3El4jei/PKWaSQxPzWu1ewkhWo8kx0KILkNX3AY1zxLpPHFoqYINuhrKLoPKP0HwUwi8h674Cbr8GrSOXfd72mmnUV1d3aRYqqurOfXUUxs9TxlZqMynwciJ9D5WKYAXXONR2c826Z7d1W7/vib1OLYwMZTBgtKv6h7u046mets+XOn1S1wcNLZ2WLV/Mzt9JQ3WOrh2HOCMPq03UGXursUMT8vDc9CgDwMDj+Hm1vxLD8tfiIToCqSsQgjRJWh7F/jnAo2NSrap17ZN10DgM3TNy6iUC6NekZ+fT8+ePSkpKWm0zzFEdo1zc3PJz89PKHblHg89P4HgEnBKwBqOco1M6NrDQSJDQg7mtdz4wgHsg1u3hSO//MRKOMPaZlXFZvom1f/3PbR2fEBKL5JMT70d6eYKaZtZeceyP1TFGzsXUR32RTphDDiR/sm5LV5fCNE2JDkWQnQNwSW1wy+ak7T4wPdPiJEcW5bFzTffzL333ttoglxSUoJt29x8881YVuLfQpUywXNUkyM/HPTxZpNmJRMIxh7McbCacKBeT2MAw4qUrsSrHa8MNxy/Ha12/JicI5i3Z2mLh5KEHZuSQDmz8mYws+/RLVpLCNF+pKxCCNE1qBY+vOTsi3u4X79+3H777SQnJ7N161aKi4vrEietNcXFxWzZsoXk5GRuv/12+vXr17J4RB2lFNcNn1Wv/CAWl7JwGQ1ruJWhSBmQRWh/7O4WyWbDr6FotePfHXgKHrPxWBpjKNVgp1oI0fnJzrEQotNz7GIIro6USDSX1XgJRL9+/bj//vtZvXo177zzDqtXr647lp+fz6mnnkp+fn6TdoxFYqb3HI/HcPPoxtfYXrMn6p6tS1n0S85hty/6Lzo5Uwax9b9LobaN26EsZeG3g+zylaCBPknZUWvH85J78ocJN/DHdS+yqaoo7g6yhUk4Rh/rsLZjdsoQQnRe8h1eCNFpaR1CV9wO/jkk1is4Fi8q9bpD1g6DUwFGGkp985a6ZVmMGzeOcePG4TgOwWAQt9vdaFcK0XJTskfjtwM8uOY5ArphO7Usdxp/nvhjrlv6B4p8JQ1qlXsMyiUpK5VAha+uz/HBSgLlvLzjI4zaN0395dWMzBnM6NGjG5w7PK0/Z/c9mtnrXyLW155CYccZ8KK1JmiHpGWbEF2MfLcXQnRaev9vwP86LUqMVRKk34NyT4qsqcM4lQ+h905BFx+H3jMZp+JWtNOwW4JhGHi9XkmM29GL2+dFTYwB9gUr8TtB7jniSnq4UuqVYSgUk3uOZNC5k8DRBCt8Da4P1Y6DDukw1eWV2I6Nc1pv3tzzaYNzbcfm8U1v1nvo71Buw4VBtDZ9tTEpBdKQQoguR77jCyE6Je2Ug28OTRu9fAjVA5X7GUbyOd+sW3ErVD8JuopI54sA+F5F7z0KZ98P0YEFLQ1dtMBef/ShGQAuw6I0UEFeci4/G3lJXRs3iHS8+Kp8I0m56Qy+dCqW14V/936C5b662nFHOwTLffh378fyuhh86VRUtofntr5Xd84B22r21g0XieXU3lOYkj0KFSMDHpbaj6SD6pwDdpDl5RtYWb6JsNOCr2shRJuSsgohROcUWgfKDTrYzAUsMHLRxaehjTRIugTcU8D/Dg3bwWkgCMEF6OBCtMqA5ItRyZehTHmgqj31S+5JWUVl1GNhHWb1/i3cvfJJ9gTKGhz3O0Hchou03B6MuHI6+7cUU7pkK76tZTjaAaVIGZhF9pEDSRmUjWFG9ocqwzX4nWC9RNYyTBwd+x2LDFcqNww/lzd3LuTT0lUNjruUxXXDzsXRDl+Wfc1LOz5iWdnXuJSFUgqF4vrhszi595FN/SsSQrQxSY6FEJ2TkUbzd43NyLX2RsABB6h8IDKIo9H3uTXoMqj+B7rmOcj+L8oa1Mw4RFNdPOBE7lm1g4BT/5cil7Lo683hsY1vNDh2sKATIj99EMNS+7E0dT3J4ydyRu+jeGTtHPxGCGU0/Pc3lYn7kE4ZeUk96eFKYW+g4b1cymJmn2lUhKp5dOPrUeMwlEGWO52rljzITl8podrpfwfvRs9e/18yXKkcmd2w5lkI0XEkORZCdE7WaFBZoIuaeKG7th9yDfVrlX3g7G7COiHQ+9EVv0ZlP9fEGERzTc3O55IBJ/LctvdAQ1g7uA2LAcm92Fy9k1AjpQ4AASfEjSPOr/daUaCE13YsqEtSD3ApkxN7TcZU9asMlVLcMvIi7lr5BAHnmxpoS5lkuFM5t/+xvLv785jV8EEnyBVLfkvYsWN2uwg4IZ7cPFeSYyE6GUmOhRCdklIKMh5Cl30ftB/iPBhVXwh0rHOjP+gVm4bQV2hnH8rIauK1orm+O+gUTu0zhU+Kv8JvBxmXMZTSwH7+sO4/hOz4ybECst3phB0b66B+yN8bdBrLyzawvWYv/tqdZ6/pppcnk6uHnh11rclZI/n9hOt5avNcVlVsxm24OLHXZC4deArprhSKfCUEnehfUxoIOuGoxw62uXpno+cIIdqXJMdCiE5LucdDzlvo6qcgsABwwF0A/k9A74lxlQYaT0oSZ6LtSlBJaG2D7yWoeQG0DzzTUClXS9lFG8jxZDArb0bdx58UL0/oOg0sL9vAL5b/jQfGX4vLiPyYSzI9/HnSj1lUsoIP9ixFozkudxLTe46rOyeaUekDeWD8tVGPDUrujcdwoCb2cQAADSNJREFU1dtZbiqP4W78JCFEu5LkWAjRqSmzHyr99nqvOcHTwY6VHLc2DWWXo51dRHavDep2sX1z0P65kPkMyj2hneI5PE3IGN5o94gDAjrE+srtvFG0kHP7H1v3umWYzMidwIzc1vm3OrFXAU9sfrPZ11vK5KReBa0SixCi9UgrNyFE12OktOPNwuAU8U1Zx8ElGzZoH7ri5w1agYnWM2/PF1y39A8JlSkcEHBCvLazbdvypbqSuHzQGc261sIg15PB5YNPb+WohBAtJTvHQoiuR6W3480SSMjsvWBvAWtwm0dzuHl1x3ye2PRms0oXqkINB4G0pqAT5tmt7zbr2m/nzeCyQaeSbHlbOSohREvJzrEQouvxnAI0HA/cYZQJurqjo+hytNZsr9nLpqqdUYdiBOwgT256q9k1vSPS8loaYlyfFC+nxj60Z3bjvIabywefLomxEJ2U7BwLIboclXQ2uvrv4ARp0QS9VmODNayjg+i0tNasr9zObv8++iXlMCwtj2VlX/PgmmcpC0YGfrgMiysGz2Rc5jBe2v4Rm6p3kmR4Glk5wsDAOaSbicdwcemgU1v9cznYJ8XLE66DPsBjuDg3bwYeUx7EE6KzkuRYCNHlKCMZsl9C77+jtouFAoJE3gxr52RZJUHKlSglu4DRFNUUc/uKxykJVGAohaM1We50dvv31UtobSfIXze+igIUKmZv4Gj6JGVTHCjDUhaRfhWKn4y4kDE92rbMxVJmo+coFF7TjUIR1jZn9T2G70udsRCdmiTHQoguSZk9UZmPoJ0q0BVolQ3BRVB+E5FEua0DSAEcSL4ClXJD29+vCwo6YX6y7C+Uh6rQByW7O/0lMa/RUO/cxiSZHi4ffDrjM4axZv8WPIabIzKG4o7Tnq21nNhrMp+Vrq7rmxyNqQzuHHM5pjIZkZZHitWJyoGEEFFJciyE6NKUkQqkRoZCe09AZ/wFXX4zkYEfB3aRTQ7sKDZ9Z9mKPACo9wEe8J4JyeejlAus4SglyU4sC4qX47cDTUp2m8JUJlnudI7JOQKXYXF0zhFtcp9YpmTnMzwtjxUVm+KeNyKtP+mu9uywIoRoCUmOhRDdivIeDzmvoKufgOByMHuiki9Du44Cex2UXQ+6ksSm5SlQSaicN8HIjkztEwlbs38rvji7qk2RZHjwOZGH30xloFBMzc7nJyMujDvEoy2ZyuB346/lusLfs7Umet/t/sm5khgL0cVIciyE6HaUNQzV47f1XwMwJ6Nz3kRX/wP8cwEbzKFgbwSnLPJxbUKMtsEagOrxJ5SZ0/6fRDeQ5U7DpSxCumUTC72GmxtGnMuJvQoI2iHKQpX0cKV0ihIFt2Fx99gruH7pH/EdskvuMVzcMPy8DoxOCNEcqjM1ri8oKNCFhYUdHYYQ4jCjtQZdDsoLOgzhTWBkoKyBHR1al7bXX8YPPr+/ScM7orEwmTP9/k7d4WFb9R4e2/g6S/atRaPJTx/IVUPPIb/HoI4OTQgRg1Jqqda6wZhK2TkWQhz2lFKgMms/ANzjOzSe7iLXm8nVQ87hsU2vE3LCOGgMDFyGSUHmKD4tXZlQV4owNuWhKnqZWe0QdfMMSOnFveN+hKMjn5GpZIyAEF2VJMdCCCHazNl53yK/x2Dm7JjPdt9eBqX0YVbe9P/f3r3HyFWWcRz/PrvbbQu1lktr625DW6hJsRJoEGtIFBW0XNKSoAlohAAJISLBREK5JPxlDMZECFGJREwgIUECGiqpkYL4FxaoxYIUxLVcCt1CIVALSy/LPv4xb+l0u6WzsLNndvf7SSY7551zZp+kT6a/fec95zB7ylFctf4WXnxva0Mn7K3espaLF3y8WzWPpjZDsTTmGY4lSU113Ke6uHrRBfuN3fHfB3m1b1vDV7J4Z8+OZpQmSQcwHEuSRk3v+29y3+a/8actjw3rEm/HTutqYlWStI/hWJI0KjZuf4mVG25jz0D/sILxpOjgtFknNbEySdpnRBZHRcTVEZERcXTZjoi4NSJ6IuLpiFgyEr9HkjQ2ZSY/3XgXOwd280HdbaM/ShB0tnWwctF3vVawpFHziWeOI2IucAbwSt3wmcDC8vgScFv5KUmagDa9t4Xte95reP8gWHLE57hy4Xl0HTaziZVJ0v5GYub4ZuAa2O87shXAXVmzFpgREXNG4HdJksagd/vfH9blzZLk3f4+g7GkUfeJwnFELAdey8wNg17qAjbXbb9axiRJE9Cxh3cN+055L+zYzG96HqCVblYlafw7ZDiOiIcj4l9DPFYANwA3DnXYEGNDfrpFxGURsS4i1m3btm141UuSxoRpk6aybPZSJrdNaviYBB7c8hgPbX2ieYVJ0iCHDMeZeXpmLh78ADYB84ENEfES0A2sj4jZ1GaK59a9TTew5SDvf3tmnpyZJ8+c6ddnkjRe/eC4c/nqzOFddWLnwG7ufnlNkyqSpAN97GUVmflMZs7KzHmZOY9aIF6SmVuBVcCF5aoVS4Htmdk7MiVLksai9rZ2Fkybw6QY3rngb+x6u0kVSdKBmnWd49XAWUAP0Adc3KTfI0kaQ3p3vjXstcfTOqY2qRpJOtCIheMye7z3eQJXjNR7S5LGhwWHdzGlrZOdA7sbPmZgYID3+3cxtWNyEyuTpJoRuQmIJEmN+Nqsk2gb8pztg9s1sIfVvX9vUkWStD/DsSRp1EztmMyNi4e30m539vPw6+uaVJEk7c9wLEkaVSfOOI4pbZ3DOuaDbOyW05L0SRmOJUmjqr2tnbM/+2U62xo77aUzOvjKzBObXJUk1RiOJUmj7pIF57D40wsOOYPcRnBYxxSWd506SpVJmuiadSk3SZIOqrOtg5tOuJznd7zCk29t/HDZxIa3e9jU18uegdrl3r545CKuXHge0ycdXmW5kiYQw7EkqRIRwaLpx7Bo+jH7jWcmO/r7mNLWSWd747eblqSRYDiWJLWUiHCmWFJlXHMsSZIkFYZjSZIkqTAcS5IkSYXhWJIkSSoMx5IkSVJhOJYkSZIKw7EkSZJUGI4lSZKkwnAsSZIkFYZjSZIkqTAcS5IkSYXhWJIkSSoMx5IkSVJhOJYkSZIKw7EkSZJUGI4lSZKkwnAsSZIkFYZjSZIkqTAcS5IkSUVkZtU1fCgitgEvV13HKDsaeLPqIjQm2CtqlL2iRtkratR47JVjMnPm4MGWCscTUUSsy8yTq65Drc9eUaPsFTXKXlGjJlKvuKxCkiRJKgzHkiRJUmE4rt7tVRegMcNeUaPsFTXKXlGjJkyvuOZYkiRJKpw5liRJkgrDccUi4uqIyIg4umxHRNwaET0R8XRELKm6RlUrIn4eEc+XfvhjRMyoe+260iv/johvVVmnWkNELCv90BMR11Zdj1pHRMyNiEcj4rmIeDYirirjR0bEmoj4T/l5RNW1qjVERHtEPBURD5bt+RHxeOmV30dEZ9U1NoPhuEIRMRc4A3ilbvhMYGF5XAbcVkFpai1rgMWZeQLwAnAdQEQcD5wPfB5YBvw6Itorq1KVK//+v6L2OXI8cEHpEwmgH/hxZi4ClgJXlP64FngkMxcCj5RtCeAq4Lm67Z8BN5deeRu4tJKqmsxwXK2bgWuA+oXfK4C7smYtMCMi5lRSnVpCZj6Umf1lcy3QXZ6vAO7JzF2Z+SLQA5xSRY1qGacAPZm5KTN3A/dQ6xOJzOzNzPXl+Q5qoaeLWo/cWXa7Ezi3mgrVSiKiGzgb+G3ZDuDrwH1ll3HbK4bjikTEcuC1zNww6KUuYHPd9qtlTAK4BPhzeW6vaDB7Qg2JiHnAScDjwGcysxdqARqYVV1laiG3UJvAGyjbRwHv1E3WjNvPl46qCxjPIuJhYPYQL90AXA98c6jDhhjzkiLj3Ef1SmY+UPa5gdrXonfvPWyI/e2Vic2e0CFFxDTgfuBHmfm/2oSgtE9EnAO8kZn/iIjT9g4Pseu4/HwxHDdRZp4+1HhEfAGYD2woH0rdwPqIOIXaX2Jz63bvBrY0uVRV7GC9sldEXAScA3wj911/0V7RYPaEPlJETKIWjO/OzD+U4dcjYk5m9pZlfG9UV6FaxKnA8og4C5gCTKc2kzwjIjrK7PG4/XxxWUUFMvOZzJyVmfMycx61/9CWZOZWYBVwYblqxVJg+96vuzQxRcQyYCWwPDP76l5aBZwfEZMjYj61kzifqKJGtYwngYXljPJOaidsrqq4JrWIsmb0DuC5zPxF3UurgIvK84uAB0a7NrWWzLwuM7tLRjkf+Gtmfg94FPh22W3c9oozx61nNXAWtZOr+oCLqy1HLeCXwGRgTfmmYW1mXp6Zz0bEvcBGasstrsjMDyqsUxXLzP6I+CHwF6Ad+F1mPltxWWodpwLfB56JiH+WseuBm4B7I+JSaldP+k5F9an1rQTuiYifAE9R+2Nr3PEOeZIkSVLhsgpJkiSpMBxLkiRJheFYkiRJKgzHkiRJUmE4liRJkgrDsSRJklQYjiVJkqTCcCxJkiQV/wdFTMf6EzXniwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = GaussianMixture(n_components=11, random_state=0)\n",
    "clusters = model.fit_predict(projected_tsne)\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "fig = plt.figure(figsize=(12, 10))\n",
    "plt.scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], c=clusters, s=50, cmap=\"viridis\"\n",
    ")\n",
    "centers = model.means_\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c=\"black\", s=200, alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 10))\n",
    "plt.plot(clusters);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.296703296703297"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "out_move_percent(clusters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(16, 8))\n",
    "\n",
    "ax[0].set_title(\"FUS K-means\")\n",
    "\n",
    "clusters = kmeans.fit_predict(projected_tsne)\n",
    "\n",
    "\n",
    "ax[0].scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], c=clusters, s=50, cmap=\"viridis\"\n",
    ")\n",
    "centers = kmeans.cluster_centers_\n",
    "ax[0].scatter(centers[:, 0], centers[:, 1], c=\"black\", s=200, alpha=0.5)\n",
    "ax[1].set_title(\"FUS GMM\")\n",
    "\n",
    "clusters = model.fit_predict(projected_tsne)\n",
    "\n",
    "ax[1].scatter(\n",
    "    projected_tsne[:, 0], projected_tsne[:, 1], c=clusters, s=50, cmap=\"viridis\"\n",
    ")\n",
    "centers = model.means_\n",
    "ax[1].scatter(centers[:, 0], centers[:, 1], c=\"black\", s=200, alpha=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## pca 3 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "principal_components = pca.fit_transform(ca_poss.reshape((ca_poss.shape[0], 549 * 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1001, 3)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "principal_components.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
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     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "ax = fig.add_subplot(111, projection=\"3d\")\n",
    "ax.scatter(\n",
    "    principal_components[:800, 0],\n",
    "    principal_components[:800, 1],\n",
    "    principal_components[:800, 2],\n",
    ")\n",
    "plt.xlabel(\"component 0\")\n",
    "plt.ylabel(\"component 1\")\n",
    "plt.ylabel(\"component 2\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.48535573, 0.32633683, 0.12284612], dtype=float32)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE 3 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<IPython.core.display.HTML object>"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"432\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsne = TSNE(random_state=17, n_components=3)\n",
    "\n",
    "projected_tsne = tsne.fit_transform(ca_poss.reshape((ca_poss.shape[0], 549 * 3)))\n",
    "\n",
    "%matplotlib notebook\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "ax = fig.add_subplot(111, projection=\"3d\")\n",
    "ax.scatter(projected_tsne[:, 0], projected_tsne[:, 1], projected_tsne[:, 2])\n",
    "plt.xlabel(\"component 0\")\n",
    "plt.ylabel(\"component 1\")\n",
    "plt.ylabel(\"component 2\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "intertias = []\n",
    "for i in range(2, 25):\n",
    "    kmeans = KMeans(n_clusters=i, random_state=0)\n",
    "    clusters = kmeans.fit_predict(projected_tsne)\n",
    "    intertias.append(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(16, 9))\n",
    "plt.title(\n",
    "    \"Sum of squared distances of samples to their closest cluster center vs number of cluster\"\n",
    ")\n",
    "plt.plot(range(2, 25), intertias, label=\"loss\")\n",
    "plt.plot(range(3, 25), -np.diff(intertias), label=\"delta(loss)\")\n",
    "plt.axvline(8, label=\"8\", c=\"r\")\n",
    "plt.grid()\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
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     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=10, random_state=0)\n",
    "clusters = kmeans.fit_predict(projected_tsne)\n",
    "kmeans.cluster_centers_.shape\n",
    "\n",
    "%matplotlib notebook\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "ax = fig.add_subplot(111, projection=\"3d\")\n",
    "ax.scatter(\n",
    "    projected_tsne[:, 0],\n",
    "    projected_tsne[:, 1],\n",
    "    projected_tsne[:, 2],\n",
    "    c=clusters,\n",
    "    s=50,\n",
    "    cmap=\"viridis\",\n",
    ")\n",
    "centers = kmeans.cluster_centers_\n",
    "ax.scatter(centers[:, 0], centers[:, 1], centers[:, 2], c=\"black\", s=200, alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}