{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Metodi di classificazione: pca -> lda**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn import decomposition\n",
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n",
      "['setosa' 'versicolor' 'virginica']\n",
      "{0, 1, 2}\n"
     ]
    }
   ],
   "source": [
    "X = iris.data\n",
    "y = iris.target\n",
    "caratt=iris.feature_names\n",
    "varietà=iris.target_names\n",
    "print(caratt)\n",
    "print(varietà)\n",
    "print(set(iris.target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.1, 3.5, 1.4, 0.2],\n",
       "       [4.9, 3. , 1.4, 0.2],\n",
       "       [4.7, 3.2, 1.3, 0.2],\n",
       "       [4.6, 3.1, 1.5, 0.2],\n",
       "       [5. , 3.6, 1.4, 0.2]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X[:5,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs=plt.subplots(ncols=4, figsize=(10,4))\n",
    "for f in range(4):\n",
    "    xf=[X[y==c,f] for c in range(3)]\n",
    "    axs[f].hist(xf, stacked=True)\n",
    "    axs[f].set_xlabel(caratt[f])\n",
    "#    axs[f].violinplot(X[:,f], positions=0)\n",
    "#    for t in range(3):\n",
    "#        axs[f].violin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x900 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs=plt.subplots(figsize=(9,9), ncols=3, nrows=3, sharex='col', sharey='row')\n",
    "colors=['red', 'green', 'blue']\n",
    "for i in range(3):\n",
    "    for j in range(i+1,4):\n",
    "        ax=axs[i][j-1]\n",
    "        for c in set(iris.target):\n",
    "            xi=np.where(iris.target==c)\n",
    "            ax.scatter(X[xi,j], X[xi,i], c=colors[c], label=iris.target_names[c])\n",
    "        ax.set_xlabel(caratt[j])\n",
    "        ax.set_ylabel(caratt[i])\n",
    "        if i==0 and j==1:\n",
    "            ax.legend()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "pca = decomposition.PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "Xt = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.36138659, -0.08452251,  0.85667061,  0.3582892 ],\n",
       "       [ 0.65658877,  0.73016143, -0.17337266, -0.07548102]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xf=[Xt[y==c,0] for c in range(3)]\n",
    "_=plt.hist(xf, stacked=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fed24ef3250>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for v in range(3):\n",
    "    plt.scatter(Xt[y==v,0], Xt[y==v,1], label=varietà[v])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**LDA** analisi lineare discriminante"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lda = LinearDiscriminantAnalysis(n_components=2)\n",
    "Xt2 = lda.fit(X, y).transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fed252375d0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mzW4zIHa7HQ0NDaivr0dcXBwAuAIOyZQpU/C73/0OZWVluPbaa3HTTTdh2LBhHl9/586duPzyyz3mldhsNhw+fBjDhw93Oz58+HB8/fXXHq+3e/duDB06FIIguJ1/8uRJ/Pjjj+jZsycA4JJLLpHxt0NE3jAQMZDs1Gy/gYbZZA4oYJCbCMsdNzrRITG85wVgzJgxEEURa9euRWZmJjZt2oRnnnkGAHDy5EnMmTMH48aNa/W82NhY1/9v376922OjR49GVVUV1q1bhw0bNuDqq6/G1KlTsWDBglbXadeuXZjfkTwtx0xEgWEgYjCBBhr+yE2EDTVhlsIkdZhzd4ytGp7zRATn46meZxVCERsbi3HjxmHlypXYt28f+vXrh4wMZwJ0RkYG9u7di/POOy/g63bv3h0TJkzAhAkTcPnll2PGjBkeA5FBgwZh+fLlHnfbxMfHIzk5GZs3b8aVV17pOr5582ZkZWV5fN3+/fvjvffegyiKrlmRzZs3o2PHjjj33HMDfh9E5BmTVcknOYmw/nbckIpMZucWXQBo9Zmd/X7UPMXqiYwfPx5r167Fa6+9hvHjx7uOz549G6+//jrmzJmDXbt2Yffu3Xjrrbfwf//3fz6vN3v2bHzwwQfYt28fdu3ahQ8//BD9+/f3eO60adNgs9lw++2348svv8R3332HN954A3v37gUAzJgxA4WFhXj77bexd+9e5OfnY+fOnXjooYc8Xu/+++/HwYMH8cADD2DPnj344IMPUFBQgNzcXFd+CBGFjj9N5JOUCAsEt+OGNJA+Frj1dSA+yf14fLLzuIJ1RK666ip06dIFe/fuxZ133uk6npOTgw8//BD/+c9/kJmZid/85jd45plnkJqa6vN6bdu2xcyZMzFo0CBcccUVMJvNeOuttzye27VrV2zcuBEnT57ElVdeiUsuuQRLlixxzY48+OCDyM3NxfTp0zFw4EAUFRVh9erV6Nu3r8fr9ejRA+vWrUNpaSkuuugi3HfffZg0aZLf4ImIAiOIouhp/lYXbDYbLBYL6urqEB8fr/VwopqnhnrWOKvPHTcUuIaGBlRWViItLc0tdyIoBq+sGknC+rkSRYBA7t/MESFZ5CTCks6YzGHdoktEpAQGIiRbuBNhiYiImCNCREREmuGMiMrYOI6IiOhXDERU5CnhMzEuEflZ+Uz4JCKiqMSlGZWwcRwREVFrDERU4K9xHAAUlhbCHuaOqERERHrHQEQFgTSOIyIiiiYMRFTAxnEU7f76179i8ODBIV+npKQEgiDg559/lv2ce+65BzfddFPIr01EymCyqgrYOI6i3Z/+9Cc88MADIV9n2LBhqK6uhsVikf2c5557DjouIE0U9RiIqEBqHFdbX+sxT0SAgMS4RDaOo7DS01bxDh06oEOHDl4fb2pqQtu2bf1ep23btrBarQG9diBBCxGpj0szKjBa4zi7w47tNdux7vt12F6znUm2OlRcVYyc93Iwcf1E5G3Kw8T1E5HzXo5iu7NeeeUVJCcnw+FwuB2/8cYbMXHixFZLM9JyyZNPPonk5GT069cPALBlyxYMHjwYsbGxuPTSS/Hvf/8bgiBg586dAFovzSxbtgydOnXC+vXr0b9/f3To0AGjRo1CdXV1q9eSOBwOzJ8/H+eddx5iYmLQs2dPPPnkk67H8/LycP755yMuLg69e/fGrFmzcPr06fD+hRGRi6KByNy5c5GZmYmOHTsiISEBN910k6sld7TJTs3GwhELkRCX4HY8MS4RC0csjJg6IuG4wTGQUZYWW8VvueUWHDt2DJ988onr2PHjx1FUVITx48d7fM7HH3+MvXv3YsOGDfjwww9hs9kwZswYDBw4EGVlZXj88ceRl5fn97Xr6+uxYMECvPHGG/jss89w4MAB/OlPf/J6/syZMzFv3jzMmjULFRUVePPNN5GYmOh6vGPHjli2bBkqKirw3HPPYcmSJXjmmWcC+NsgokAoujTz6aefYurUqcjMzMSZM2fw5z//Gddeey0qKirQvn17JV9alyK9cZx0g2u5vCTd4OQEVCzqpix/W8UFCCgsLcTIlJFh/e+uc+fOGD16NN58801cffXVAIB3330X3bp1w8iRI7Fp06ZWz2nfvj3+8Y9/uJZkXnrpJQiCgCVLliA2Nhbp6ek4dOgQJk+e7PO1T58+jZdeegl9+vQBAEybNg2PPfaYx3NPnDiB5557Dn//+98xYcIEAECfPn1w2WWXuc75v//7P9f/79WrF/70pz/hrbfewqOPPhrA3wgRyaVoIFJUVOT2/bJly5CQkIAdO3bgiiuuUPKldStSG8eF4wYXjkCGfAtkq3i4/zscP348Jk+ejBdffBExMTFYuXIlbr/9dphMnideBw4c6JYXsnfvXgwaNAixsbGuY1lZWX5fNy4uzhWEAEBSUhJqa2s9nrt79240Nja6giVP3n77bTz//PPYv38/Tp48iTNnzvhtY05EwVM1R6Surg4A0KVLFzVflsIg1FooLOqmDi23io8ZMwaiKGLt2rU4ePAgNm3a5HVZBkDYZkXbtGnj9r0gCF53ybRr187ntbZu3Yrx48fjuuuuw4cffoivvvoKf/nLX9DU1BSWsRJRa6oFIg6HAw8//DCGDx+OAQMGeDynsbERNpvN7Yv0IdQbHIu6qUPLreKxsbEYN24cVq5ciX/+85/o168fMjLk7wTr168fvv32WzQ2NrqObd++Paxj7Nu3L9q1a4ePP/7Y4+NbtmxBamoq/vKXv+DSSy9F3759UVVVFdYxEJE71QKRqVOnory8HG+99ZbXc+bOnQuLxeL6SklJUWt45EeoNzgWdVOHtFW85e4siQAB1jirYlvFx48fj7Vr1+K1117zORviyZ133gmHw4E//OEP2L17N9avX48FCxYAcM5yhENsbCzy8vLw6KOP4vXXX8f+/fvxxRdf4NVXXwXgDFQOHDiAt956C/v378fzzz+P999/PyyvTUSeqRKITJs2DR9++CE++eQTnHvuuV7PmzlzJurq6lxfBw8eVGN4JEOoNzgWdVOH1lvFr7rqKnTp0gV79+7FnXfeGdBz4+PjsWbNGuzcuRODBw/GX/7yF8yePRsA3PJGQjVr1ixMnz4ds2fPRv/+/XHbbbe5ckrGjh2LRx55BNOmTcPgwYOxZcsWzJo1K2yvTUStCaKCJQdFUcQDDzyA999/HyUlJejbt29Az7fZbLBYLKirq2OymA5IyaYA3HI9pBucr2RTu8OOnPdy/BZ1K/pdUcTsIlJCQ0MDKisrkZaWFtLN19PuJGucFXlZeRGVELxy5Urce++9qKur85vfoWfh+lyJIkUg929Fd81MnToVb775Jj744AN07NgRNTU1AJyVDiP5H5VoJdVC8bT91t8NTvpNPbckFwIEj4FMJBV107tI3Sr++uuvo3fv3ujRowe+/vpr5OXl4dZbb+W/F0QGpuiMiLd13aVLl+Kee+7x+3zOiOhTKKXDjfKbulKi/Tfn+fPn48UXX0RNTQ2SkpJc1Vfj4uK0HlpIov1zpegTyP1b0UAkVAxEjElPPVD0hjcsY+LnSr7YHSJKK4+j9kQDEjrGIiutC8ym0BK0lbhmIHSzNEPkSaQWdSMiCrei8mrMWVOB6roG17EkSywKxqRj1IAk3VxTSWx6Z3Ds60JEpE9F5dWYsqLMLWAAgJq6BkxZUYai8movz1T3mkrjjIiBsa9L5NLxiikFgZ8ntWR3iJizpsLDHkJABCAAmLOmAtekW2UvqShxTTVwRsSgtOjASqGTypXX19drPBIKJ+nzbFmOnqJXaeXxVrMWzYkAqusaUFp5XNNrqoEzIgYkp6/LvNJ5Ye/ASqEzm83o1KmTq8BWXFxc2KqKkvpEUUR9fT1qa2vRqVMnmM38eSOn2hPeA4ZgzlPqmmpgIGJA/vq6AMCR+iNY8s0S3Df4PpVGRXJZrVYA8NpBliJPp06dXJ8rEQAkdJS3e0rueUpdUw0MRAxIbr+WRV8vwnmdz2O+iM4IgoCkpCQkJCTg9OnTWg+HQtSmTRvOhFArWWldkGSJRU1dg8ecDgGA1eLcdqvlNdXAQMSAAunXUlhayCUanTKbzbyBERmU2SSgYEw6pqwogwC4BQ7SYmzBmPSAkkqVuKYamKxqQFKDOjlq6mtQVlum8IiIiKilUQOSsPiuDFgt7kslVkssFt+VEVTNDyWuqTTOiBiQ1NflkZJHZJ0vdynHE1ZJJSIK3qgBSbgm3RrWKqhKXFNJDEQMKjs1G1MHT8WinYv8ntu1XVdsr9kecDDBOiVERKEzmwQM7dNV99dUCnvNGJjdYce1716L2l88774QIMDS1oKYc2ICDiakOiUttwhLnXQXjljIYISIKEoFcv9mjoiBmU1mzBwyE8LZ/zUnQIAIET83/Rxw0TM5dUoKSwtZTp6IiPxiIGJQUo+ZJnsT7h98PxLiEtweT2iXAEuMxeNz/QUT/uqUiBCZBEtERLIwR8SAPOVuJLRLwNSLpqJnfE90j+sOu8OOyRsme71G82CiZadcucmtoSTBEhGRsuwOURcJrQxEDMZb7sbRX47ixa9fxMIRC5FpzcS679fJup6nYEJunZJA6pkQEZF6isqrMWdNhVtvmiRLLArGpKu+xZdLMwYSSO5GKMGEVKekZd6JRIAAa5wVGQkZAYyeiIjUUFRejSkrylo1yKupa8CUFWUoKq9WdTwMRAwkkNyNUIIJqU6JdF7L5wFAXlYe64kQEemM3SFizpoKjyXgpWNz1lTA7lBvQy0DEQMJJHcj1GAiOzUbC0csbJUEmxiXyK27REQ6VVp5vNVMSHMigOq6BpRWHldtTMwRMZBAl1ukYMJTUbK8rDy/wUR2ajZGpoxkZVUioghRe8J7EBLMeeHAQMRApOWW2vpaj3kiAgQkxiW6LbeEGkyYTeZWu2qIiEifEjrG+j8pgPPCgUszBhLscosUTFzX+zpkWjM5o0FEZFBZaV2QZIn1kh3o7NKbZHFu5VULAxGDyU7NxoIrF6BTTCe341rnbkgF1tZ9vw7ba7az6ioRRSS7Q8TW/cfwwc5D2Lr/mKpJneFgNgkoGJMOAK2CEen7gjHpqtYT4dKMwRRXFWP+9vn4qfEn17HOMZ0xI3OGZkEIm+MRkRHoqfZGKEYNSMLiuzJavRerRu+FTe8MRI+N6PQ4JiKiQEm1N1reMKV5g8V3ZURUMAIoW1mVTe+ikB4b0elxTEREgdJj7Y1wMJsEDO3TFTcO7oGhfbpqUt4dYCBiGHpsRKfHMRERBUqPtTeMhIGIQeixEZ0ex0REFCg91t4wEgYiBqHHRnR6HBMRUaD0WHvDSBiIGIQeG9EpNSZuBSYiNemx9oaRMBAxCD02olNiTMVVxch5LwcT109E3qY8TFw/ETnv5aC4qjh8AyciakaPtTeMhIGIgeixEV04xyRtBW6ZAFtbX4vcklwGI0SkGKn2htXivvxitcRG5NZdPWEdEQOyO+y6a0QX6pjsDjty3svxugtH6qNT9Lsizd8rERmXkrU3jCSQ+zcrqxqQWo3oAgkuQh1TIFuB2YSPiJQi1d6g8GEgQkFRu2w7twITERkTc0QoYFrkanArMBGRMTEQoYBoVbZdj9uTiUgbkd4Bl9xxaYYColWuhrQVOLckFwIEt0BIq+3JRKQ+o3TADZWRkmYZiFBAtMzVkLYCe8pNycvKYxdfIoPz1gG3pq4BU1aUKbaNVm83faMFYwxEKCBa52pkp2ZjZMpI3W1PDhuHHajaApw8AnRIBFKHAUZ5b0Qh8NcBV4CzA+416dawBgl6u+lrFYwpiYEIBUTK1aitr/WYJyLV81AyV0Ot7cmqq1gNFOUBtsO/HotPBkYVAuljtRsXkQ4E0gE3XNtr9XbT1yoYUxqTVSkgeiwlbwgVq4FVd7sHIQBgq3Yer1itzbiIdELtDrj+bvqA86avZqJsIMFYJGEgQgELtmw7m9V54bA7Z0J8/ZNXlO88jyhKqd0BN5ibvtK7edQOxtTCpRkKSqC5GmoXQIsoVVtaz4S4EQHbIed5aZerNiwiPZE64NbUNXgM2QU4+76EqwNuoDd9NXJJ1A7G1MIZEQqalKtxXe/rkGnN9BmEsFmdDye9b4cO6jwiA1K7A24gN30pl6TlDIqUS1JUXh2WMUnBmLd3KMAZ/IQrGFMLAxFSlFYF0CJKh8TwnkdkUGp2wJV7078ktbNquSRqB2Nq4dIMKYrN6mRIHebcHWOrhuc8EcH5eOowtUdGpDujBiThmnSr4nU9pJv+lBVlEOD+k9n8pr+j6idVd/NIwVjLZSAr64gQecZmdTKYzM4tuqvuBrz9kzdqHuuJEJ2lVgdcOTf9D3YeknWtcCaQqhWMqYWBCClK6wJoXumtcFj6WODW173UEZnHOiJEQQq1Kqq/m75WCaRqBWNqYCBCitJDAbRW9Fo4LH0scMH1+gqQiCJYuHay+Lrpq72bx4iYrEqK0l0BNL0XDjOZnVt0B97s/JNBCFFQ1NrJYtQEUjUxECHFBVsALexYOIwoKqhdFVXN3TxGpOjSzGeffYannnoKO3bsQHV1Nd5//33cdNNNSr4k6ZQumtWxcBhRVNCiL43REkjVpGggcurUKVx00UWYOHEixo0bp+RLUQTQvFkdC4cRRQWtSqFLuSRSguyH3xxmQCKDooHI6NGjMXr0aCVfgkg+Fg4jigpalkJXo9S70egqR6SxsRE2m83tiyhspMJhvmolxvdg4TCiCKdVKXS1EmSNRleByNy5c2GxWFxfKSkpWg+JjEQqHAbAa347C4cRRTwtdrKonSBrJLoKRGbOnIm6ujrX18GDB7UeEhmNVDgsvsUUaXyy8zgLhxEZgto7WQJJkCV3uipoFhMTg5iYGK2HQUbHwmFEUUHNnSxaJcgaga4CESLVSIXDiMjQ1CqFHo4E2VDL0UcqRQORkydPYt++fa7vKysrsXPnTnTp0gU9e/ZU8qWjmt1h17ZeBxFRlAm11Hs077YRRFFULHOmpKQEI0eObHV8woQJWLZsmd/n22w2WCwW1NXVIT4+XoERGk9xVTHmlc7Dkfpfa2EkxiUiPytfkQqmDHqIiJykXTOAxx7aXnNTpOe1vBn7e56eBXL/VjQQCRUDkcAUVxUjtyS3VXM5qadLuMuphyPoYSBDREYS6MyG3SHissKNXhNdpZmUz/OuiqhlGgYiUcjusOPKVVeirrHO4+NSl9ui3xWF5UYfjqBH7dkbIiI1BJLrsXX/Mdyx5Au/1/zn5N+okusSLoHcv3W1fZeCt+SbJV6DEAAQIaKmvgZltWUhv5bdYce80nmtghDpdQCgsLQQdh/N46RApnkQAgC19bXILclFcVVxyOPUJYcdqNwEfPuu80822CMyHClB9sbBPTC0T1efMxncbcNdM4Zgd9jxxu43ZJ17tP5oyK9XVlvWKoBornnQ46m3jL9ARoCAwtJCjEwZaaxlmorVzu6/zRvvxSc7i6yxfglRVNKyHL1ecEbEAMpqy2BrklcOv3tc95BfT24w4+28QAIZw6hYDay6u3X3X1u183jFam3GRURhZ3eI2Lr/GD7YeQhb9x/zWU1Vq3L0esIZEQOQGxhYYizISMgI+fXkBjPezgs1kIk4DrtzJsRr8WcBKMp3Flkz0gwQURQKNFlVKkc/ZUUZBHjebRPucvR6wxkRA5AbGNzV/66wLHVkJGQgMS7RlZjakgAB1jir16An1EAm4lRtaT0T4kYEbIec5xFRxAq26Z3a5ej1hjMiBiAFBrX1tR7zLgCgU9tOmDxwclhez2wyIz8rH7kluRAguL2mFJzkZeV5DXr8jVfa4ROO2RtdOOl9GSqo84hId/w1vRPgbHp3TbrV4+yGmuXo9YYzIgYgBQYAvM5SFAwrCGviZ3ZqNhaOWIiEuAS344lxiX637voar5xAJuJ0SAzveUSkO+FoehfIbhsj4YyIQUiBQcu6HNY4K/Ky8hSpy5Gdmo2RKSODKkjmbbyJcYmKjVczqcOcu2Ns1fCcJyI4H08dpvbIiCgM7A4Rm/f9T9a5Rt6GGywWNDOYSKtUGmnjDZq0awaAx3S0W1/nFl6iCOQpOdWXSCtMFixWViVdiJogQy6PdUR6AKPmMQghikDeesR406V9G/zfden4qb4JXdq3hdXSzrB5IAxESHMs3+6Fw+7cHXPyiDMnJHUYt+wSRSB/PWLkMmqHXQYipCm1m+/5w5kZIgo3uT1i5BAQmR12fQnk/s1kVQorvZVv58wMESlBbtJphxgzTjb67iklwvfWXqPj9l0Dsjvs2F6zHeu+X4ftNdt9Np8LNz2Vb4/axnpEpLhuHWJknecvCJH429prZJwRMRitZwD0Ur5dbzMzRBQZ7A7Rb1GxovJq/HX1Lp/XEQBY2rXBz7+clv3a0bq1l4GIgXjLzZBmANTIzdBL+fZQOwQTUfSR0ydGzk4ZKWy5d3gvPFP8nezXN3KHXV+4NGMQ/mYAAKCwtFDxZZpQ+9CEi15mZogoMsjpE+OrjHtzUo+YaVf19dlZtzmjd9j1hYGIQeglN0Mv5du7xMr7gTZMYz0iCpq/PjGAM5n0i/3HZG3XXXDzRa6+MaMHWP0GLgKM32HXFy7NGISeZgC0Lt9eXFWMudvm+jzHcI31iChocvvEbP1eXhn3jXuO4E/vfu12TZMAODxEJEatIxIIBiIGoZfcDEkofWhC4S1PprmIbqzHgmhEYSc/SVTejMWrm39odUwKQu4dlopzO8cZvrJqIBiIGISUm1FbX+vxJuxrBkCpgl9mk1nVRFBfeTLNJcQlRGYdEY8l4pOBUYUsEU8UArlJokP7dMV7ZT+ipq7BW/tKCF5mPqTHi3Ydwed5V0V98NEcc0QMItjcjOKqYuS8l4OJ6ycib1MeJq6fiJz3ciKyxoa/PBnJk5c9GZlByKq73YMQwNnRd9XdzseJyI3dIWLr/mP4YOchbN1/DHYvEUJWWhefSaUCnEsov+ndFQVj0l3HWp4jwnsQAvy6xBOt9UK8YSBiIFJuRkJcgtvxxLhEj1t3jVbwS27+y7Ffjik8kjBz2J0zIb5S6YrynecRGZDcgKK5ovJqXFa4EXcs+QIPvbUTdyz5ApcVbkRReXWrc80mwWeAAfyaTDpqQBIW35UBq8V9FsVqicXE4b1kvZ9orRfiDZdmDEZuboYRC37pLU8mbKq2tJ4JcSMCtkPO89IuV21YRGqQU9vD03M81fqQtuJ66usiBRgtX8vq4bVGDUhy7YppXvistPI4XvOQH9JStNYL8YaBiAHJyc0wYsGvUPJkdO2k/+WmgM4jihDBBBT+tuIK8N7XxVuA4Smfw2wSMLRPV7dj0hKPrxwSq4d6IXKquRoZA5EopaftvuEi5cnkluRCgOAWjET0TpkOieE9jygCBBtQyN2KW1p5vFUgAXgOMOSSlnimrChz5YxIWi7xSIKZ8TEa5ohEKaMuYwSaJxMRUoc5d8f4SqWL7+E8j8ggAgkompObf6FUnoavHJKWMzhyqrlGA86IRCnDLmNAuxomijGZnVt0V90NePs9a9Q81hMhQwk2oJCbfyGdp8SyiJwlnlCWkIyGgUiUMuwyxllq1zBRXPpY4NbXvdQRmcc6ImQ4gQYUkkDyNJRcFvG3xBPqEpKRcGkmiul9GcPusGN7zXas+34dttdsV7xhn6457EC7zkD2HCDnb8C4JcCED4GHv2UQQoYkt7ZHy8RPuVtxN1TUaLosovUSkp5wRiTK6XUZo7iq2GOvmoisiBoqXxVVI3TGisifYBI/Jf624l6TbsVlhRs1XRYJdsbHiARRFP1XhtGIzWaDxWJBXV0d4uPjtR6OIShVzj2cvPWLkZaM9DBboxqpomqrfzLP/uN46+ucESFDC2X5xFv+x9b9x3DHki/8vvY/J/8m4GURuTkndoeIywo3+l1CitRy8IHcvzkjEkUiYZbBiIXWgua3oqrgrKh6wfWcGSHDCqS2R0ve8jSUWhYJJGgKZcbHaJgjEiUipZx7IIXWDC+QiqpEBiYFFDcO7oGhfbqGfHNWYlkkmK24gWz1NTLOiESBSJplMGKhtaCxoiqRIoKtgOqNWtVcjYqBSBSIpHLuRi20FhRWVCVSRLiXReRuxf1i/zGYTEKrgCOUaq5GwEAkCkTSLIORC60FTKqoaquG5zwRwfk4K6oSBSyQJnf+1NT9Iuu8qW+W4edfTru+j7ZS7t4wEIkCkTTLYPRCawFhRVUiRYVjWaSovBqPr90t69zmQQjgu3lfNGGyahSQZhkEL6WBBAiwxlk1mWXwVLQs1EJrhiqEJlVUjW/xj1R8MrfuEoVBKImwUoLq8VNNQb229KvFnDUVsDt0W0lDcZwRiQJ6nWXwt504mEJrIW1RdtidO1BOHnHmXaQO08dsQ/pY5xZdPY6NKEr5SlANRDSVcveGBc2iiKebtDXOirysPNXriChRtCyka/qqXspZByJqQW5RtPYxZpxq9D8r+9ztg3Hj4B7hGJousKAZeaSXcu5KbCcO6Zreqpfaqp3HuQRCRC3ILXZ2z7BeWPTJfr/nRUMpd2+YIxJlpK601/W+DpnWTE2SPpUoWhb0Nf1WL4Wzemkk55kQUdjJDRyG9e4WVPO+aMJAhFSnxHbioK/J6qVEFAS53YF/06errG7A0VTArCUGIqQ6JbYTB31NPVUvddiByk3At+86/wznLEw4r63kOIkihFQUDWgdYADO+dRZ1/eH2SSwlLsfzBEh1SlRtCzoa+qleqmSybLhvDaTeolcvBVFkzy+djdMZwMRlnL3jjMipDppOzGAVrVNgt1OHPQ1peqlviZY43soW71USpZtuUQkJctWrNbHtZUcJ1GEGjUgCbOuT/f4WMuGd+Fu3mcUDERIE6EWLQvbNaXqpQC8ruAGWr00kKULJZNlw3ltJvUSeWR3iHh8bYXHx1iwTB4uzZBmlNhOHNQ1peqlHpcc5vlfcmheCO3YfmDHUuBEs5bfvpYuAkmWTbvc9zhajuXkkfBdO9zjJDIIuQ3vorlgmT8MREhT0nZiza8ZbPVSTzkTLfmqRxLOZFk5Ywn22npK6iXSEbn1ROSeF41UWZpZtGgRevXqhdjYWAwZMgSlpaVqvCxRYExm52/zA292/iknCPGUM9GKj6WLcCXLyh5LENeWe04g5xFFELtDxNb9x/B+2Y94ddP3eP+rQ9i6/xjsDlF2PZFoLljmj+IzIm+//TZyc3Px0ksvYciQIXj22WeRk5ODvXv3IiEhwf8FyJDsDrvmFV5D4jNnwhMvSxdSsqyt2su1BOfjvpJlAx5LANcO5ziJIlBRebXXXTFJlljMuj4dSZZY1NQ1ePvJgDXKC5b5o3ggsnDhQkyePBn33nsvAOCll17C2rVr8dprryE/P1/plyeVNZ1pwtv/fRsHbQeREp+C286/DWaT2S3o+KnhJ8zfPj+4xnR64TdnwouWSxdSsuyqu+H8J6v5P2Uyk2WDGkuAibjhGCdRhJG663oL8avrGjD1zTL84Yo0vPJZpbefjKgvWOaPooFIU1MTduzYgZkzZ7qOmUwmZGdnY+vWra3Ob2xsRGNjo+t7m82m5PAozBZ+uRDLK5bDITpcx57a/hTandMO9WfqfT63tr4WuSW5Qe+YUV2wuRCeli5CTZYNZixyrx3OcRJFkEC6667+uhqL7rwYj6/d7TZzYrXEomBMetQXLPNH0UDkf//7H+x2OxIT3f/xTUxMxJ49e1qdP3fuXMyZM0fJIZFCFn65EEt3LW11XIToNwiRzgum2Z1mAs6F8LN0EWyybCBjyfmb89xArh3OcRJFEH+7YSTSrpjO7WPwed5VLFgWBF3tmpk5cyZyc3Nd39tsNqSkpGg4IgL853M0nWnC8orlIb9O88Z04d5JE3Z+cyaaa7F00XyLbfMbuZQsG/axnA2ChtwXnoAh2HESRZBAd7nUnmhwFSyjwCgaiHTr1g1msxlHjrhPHR85cgRWq7XV+TExMYiJiVFySBSg4qpizCud5zOf4+3/vu22HBOqQJrdacZnzkQLzZculCiRzvwNoqDZHaLHWYxAd7lwV0zwFA1E2rZti0suuQQff/wxbrrpJgCAw+HAxx9/jGnTpin50hQGxVXFyC3JbdW7pWU+x0HbwbC+rtwGdprvvPGaM9EDyJgAdO3jPuMhbbFtGbT4qjMS8liYv0HkjacdMUln8zquSbciyRLrd3mGu2JCJ4iiqGjd2bfffhsTJkzAyy+/jKysLDz77LNYtWoV9uzZ0yp3pCWbzQaLxYK6ujrEx8crOUxqwe6wI+e9HLeZkOakJnJFvyvCm3vexPzt80N+zebX9BdQyJmpUY23pZaW5zw7wMfulrPLJw9/G9rMxZkmYPsS4KcfgM69gMzJwDltg78ekUF52xEjZXQsvsvZINPXrhnpfHbQbS2Q+7fiBc1uu+02LFiwALNnz8bgwYOxc+dOFBUV+Q1CSFtltWVegxDAPZ/jtvNvg0kI7T+lQJrdSTM1LccnzdQUVxWHNJaAySmEFkiJ9GBVrAaevwhY/2eg9BXnn89fxGZ0RC342hHTvD/MNelWLL4rA0kWz8suJgH4wxVpDEJCpEpl1WnTpqGqqgqNjY3Ytm0bhgwZosbLRjS7w47tNdux7vt12F6zHXaVm4nJzdM4Wn8Ubc9piwnpE0J6PbnN7uwOO+aVzmu1XATAdaywtFD1vy+fHHag8lN55wa7LdhrZ9zDwKrfAyWFbEhHdFYg/WF8ddcVReCVzypRVF7tqr76wc5fq66SPLraNUNOelh2kJunIZ2Xe6lzt1PLOiIChFZ1RKxxVszInIHOsZ0Dzu8IZKZGFztvAu3/EkyJdDmVVUv+BpQtCy0plsgg5O6Iqan7BZu/+x/+/P63Hh8X4Vyamfmvb/HX1btQY/u1DlYSa4jIxkBEZ+QmiCotIyEDiXGJqK2v9Tj7IOVzZCRkuI7lXpqLaYOn4Z97/4myI2WIaxOHMb3H4NLES/H1/74OS1JpIDM1mvOWnOpRCCXS5VZWtR0OPSmWyADk7nB5fO1uHD/V5PMcEcBP9adbHa+pa8CUFWXMH5FBlaUZkkdPyw5mkxn5Wc4S/ALcC/L4yuf47NBneKPiDWw8uBEffv8h/lj8R1z3/nWoa6zDdb2vQ6Y1M6SdLYHO1GgmoP4vIW6xDXQ5x1PzPaIokpXWBUmWWPgrNeYvCPGlea4Jl2l8YyCiI4EsO6ghOzUbC0csREKce3NCb/kcaiSRSjM1LYMjiQAB1jir20yNJgLp/xKfHNosRUDLOWFIiiWKcGaTgIIxzrwPJeueNs81Ie+4NKMjelx2yE7NxsiUkX7rdfibzQlX+XZppia3JBcCBLfXC2TnjeLkzlJcPgMYOTO0LbsBVXk9K9ikWCKDGDUgCYvvymhVR6RL+zY4fqr1UksoAq3SGm0YiOiIXpcdzCaz38RPNZNIpZkaTwm9eVl5+miaJ3eWoveVoVc8dausKlMwSbFEBjNqQBKuSbfii/3HsPX7/wFnf7lZ9Mn+sL4Oq676xkBER4JJENULtWdz5M7UaEZu/5dgklM9kSqrfvQocKLax4lhfl2iCLehoqbVrIhcSZZY/HLajrr6095+yll1VQbmiOhIsAmieqDFbI40UxOOJNiwk2YpALRehVao/0v6WOCRXcCIP3s5gX1niJqTqqsGGoS0b2vGyv83BJ/nXYV54wYC8PpTjoIx6ezA6wcDEZ0JNEFULyImiVRN0ixFfIute6Emp/piMgMj8oBb33C+jlqvSxRhfFVX9afNOSb8pndXmE2CK9fE2qL6qtUSy627MineayYU0dxrRvOGbkGQds0A8JhEqudASlG+etHI6VOjxOsSRbmt+4/hjiVfBP38f07+DYb26er63lsX32gVyP2bOSI6JSdBVC+koKnJ3oT7B9+Pd//7rn6TSLUg9aJpyVPV1fhk9+qnoQQT3l6XiELeydLy+WaT4BaYkHwMRCgknsrRJ7RLwNSLpqJnfE+32ZxInOVRjLeqq7bqX6ufAv4DFSIKSqg7WbgTJny4NENB81aO3tNSjB765+iGww48O8BHwTMBaNcZ+MVTEaSzU73M9SAKid0h4pInNuBnD+XZfZF2wnyed1VUL734E8j9m8mqFJRAytGrUXE1ovituip6CULOPgawTDtRM8F0vt1QURNUEAJwJ0y4cWmGgiK3gNmXR75UpeJqRAm5qmmzMu3MAaEoV1Re3aoOiL/Ot9KOGV/ax5jRMeYct466VnbUVQQDEQqK3MJkpdWlqlVcjRjhqmrKMu0U5aQ6IC1/zfHX+ba08rjf2iGnGu145feXwiQI3AmjMAYiFBTZhclk/syq2T9Hc8H0hvGEZdopivmqAyLC+U/PnDUVuCbd2ip4kLtj5n8nG3Hj4B4hj5V8Y44IBUVuAbPMRHmzHGr3z9GU36qrZ5NVvUZxAhDfg2XaKar5m9Xw1flW7o4X7oxRBwMRCorccvSZ1kxWXAWciaWVm4Bv33X+ecH1vquujnn+7AE/5eFbXpcJrBQl5M5qeDovK60LkiyxvkJ9JLFHjGq4NENBk9sFNz8rH7kluRDOdraU6L1/Ttj4Klz2cLn3gmW3vu7lefOcW3flFETzhZVXKYKFMqthNgkoGJOOKSvKIMB9gZQ7Y9THOiIUMjmFyjzVEbHGWX1WXDVEATRvhcvk1gPxFiyEet1QgxgijdkdIi4r3IiaugavmVZd2rfBrBsuhDXec6JpMDtuSJ5A7t8MREg1gQQWhiiAJqdwWXwy8PC3gc1EhHrdUIMYIp2Qds0A/tO+vQUY7BGjDAYiFNECqdiqa5WbgOU3+D9vwoeB1QMJ5rrSzMqJamcxtPpjXp4UZHBEpBFPsxreCAA74qqETe8oYvmr2BpRBdDk1vkItB6I3PMrPwVShgCfPwNsWwz88pOMJ7FYGkWWUQOScE26FaWVx1FT9wseX7sbx081eTxXBDDzX9963NJL2uGuGdIVuRVby2rLVBxVkOTW+Qi0Hojc8z97CngiASj5m8wgpBkWS6MIInW+tVraeQ1CJD/Vn8bfN36n0shIDgYipCtyC5tFRAE0qXBZuOuB+L1uc0GuvLJYGkUguVt6l27+QVY/GlIHAxHSFbmFzSKiAJrfwmX4tR5I0NcNNxZLo8gld0vvz7+c9ljojLTBQIR0RW7F1ogpgJY+1nfhsmB3p6SPBYY9EPr43IQQHBHpQFZaF3Rq10bWuXJnT0h5TFYlXZEqthqqAFr6WGcl1XAWD3PYgfJ3wzdGwL1YGlEEMpsE3Ds8Dc8U/9fvuSzfrh8MREh35FZs1T0lK5dWbfFRRyQAcd2AUXOBjkmsrEqGMO2q87B0SyV+rj/t8XEBgJXl23WFgQjpUnZqNkamjIzcyqpKVy4Ny64WAbjhGc6AkKGYTQLmjRuI+1a03lknLfjOur4/i5jpCAuaEYWbGpVL5RY186ZdF2DMcwxCyLDmrqvAkk2VaL45xiQAV/dPQPkhG8u6KyyQ+zeTVYnCyWF3zoR43DZ79lhRfuhdcmVv4W3xeLvOwIg/AzP2MQghwyoqr8Yrn7kHIQDgEIENFbWtqrDW1DVgyooyFJVXqzhKknBphlwM0WROa35zN8JUuVTawrvqbqBV/9CzRvwZuOwR4OA2dtilqGF3iJizpiKgCjoinD9Fc9ZUsOqqBhiIEACDNJnTA6XKunsibQ1ulYvSw333C0u1UxQprTwuq+9MSyKA6roGlFYex9A+XcM/MPIqKgMR/ubvzluTudr6WuSW5EZOkzk9UKqsuzdKbA0mimCh1gdhfRH1RV0gwt/83RmqyZweSLkbtmp4zhM52902nJVLTWbOehCdFWp9ENYXUV9UJatKv/m3bKom/eZfXFWs0ci0Y6gmc3qgVFl3IpLlp1NNCCbFQ4Bz9wzri6gvagIRf7/5A0BhaSHsoe5miDCGajKnF0qVdTcqh925Hfnbd51/RtnPIIVPUXk1pr5Z1mq3jFwFY9KZqKqBqFmaCeQ3/0xrpooj05ahmszpCXM35FG68BtFjWB2yzRnifPeo8buEFkATUFRE4jwN3/PpCZztfW1HmeLBAhIjEuMnCZzeqJU7oaSpePV5K3wm63aeZyzRxSAYHfLSOrqT2PKijIsvivDrbBZUXk15qypYAE0BUXN0gx/8/dMajIHoFXH24htMmdkFauBZwc4q6q+N8n557MDnMcjiVqF3yhqhLrbRfovcc6aCtjPru0UlVdjyooyFkBTWNQEIoZrLx9GUpO5hLgEt+OJcYm62bprd9ixvWY71n2/DttrtkddLg+AX2cQWhZMk2YQIikYCaTwG5EM4djt0ryWiK+lHk9BCwUvapZmDNlePoz03GSOW64hYwZBcM4gXHB9ZCzTqFn4jaJCVloXJFliUVPX4G3jPCxxbbx25W2u9kSD36UeFkALn6iZEQEi4zd/LZlNZmRaM3Fd7+uQac3UTRDiecv1EeSWPILiH/6j0chUZrQZBLULv5HhmU0CCsakA/C6cR73DkuTda2EjrGyl3pYAC10UTMjItHzb/7kzveWa0AQRRRuzMXIIU/AfOFNqo9Pcc2TUo/ukfecYGYQtEh+1aLwGxneqAFJWHxXRqvkUuvZ5NJr0q14a/sBn7Mm1rO1REorj8t6TRZAC13UBSLAr7/5k7753XItCKgxA2Vr/ohMwWSsHRaetrXKEegMglbbZ3027WPhNwreqAFJuCbd6nW7bcGYdExZUebtvzpXLRE5Sz1WFkALi6hamqHIInvLtdkse4eF5kmvcop3eUtK9UlwNrsLZAZB6+RXFn4jhZhNAob26YobB/fA0D5d3Wp+SLMmVov7TIbVEuu2dVfOUg8LoIVHVM6IUGSQveXafgY4dTY/wkfdDs2TXuXMPvhMSvUmiBkEvSS/svAbacDbrAkAbN1/zHXsmnSrz6Ue1hEJDwYiUU7PnYh/LbZ2xPPUqCgi0W5HRkOj84CP/AjNOwx7Ld512L14l9+kVA/ik51BSCAzCIEkvyrdUI9N+0gB/qqhSrMmEl+Fyz7Pu4qVVRXEQEQntAgINJ8h8OPXLdePQBBFiMKvP/iC6Lyh5x37Ca6/JS/5EZp3GPY7yyECax5yzgzITTa9fAaQcEHwMwjcPksGFmg1VKlwWcufUKlwWctqqxRezBHRgeKqYuS8l4OJ6ycib1MeJq6fiJz3chTtBhwpnYizU7Ox8MqnkeBwP55ot2Nh7f+QXf8L/OVHaN5hWM4sxy/Hgc8WyE827X0lMPBm50xCMMETt8+SQQVaDZWFy7SnWCDy5JNPYtiwYYiLi0OnTp2UepmIp0VAEGmdiLN7XYv1Q57Aa9W1KKw9hteqj6Do4OFfgxDAZ36E5n2G5M4qbFsMpAxxLrV4qQAcVFKqJ9L2WaVfh0gFdoeIrfuP4f2yH/Hn98sDCioCKVxGylAsEGlqasItt9yCKVOmKPUSEU+rgEDzGYIgmC+8CZljl+A6swWZDY2/LsfI2GGheZ8hubMKv/wEHNzmTF4F4DVXPxzbWqXts0q/DpHCisqrcVnhRtyx5As8suprHD/V5PVcT0EFC5dpT7EckTlz5gAAli1bptRLRLxAAoJw1j3RfIYgWEHusNC8w3DqMKBdZ2eg4c/JI84ll1tf97LDJsCkVF+k7bNKvw6RQrzldvjTPKiQW5CMhcuUo6tk1cbGRjQ2Nrq+t9lsGo5GeVoFBJrPEIQiiB0WmvcZMpmBIVOAkr/5P1eaPVFrWyu3z1KE8pXb4U/zoIKFy7Snq2TVuXPnwmKxuL5SUlK0HpKitAoIorETseZ9hq74k3NWxCsPORlS0BVKUqocar0OURj5y+3wRIBz90zzoEIqXOZjTxsLlyksoEAkPz8fgiD4/NqzR2ZPDA9mzpyJuro619fBgweDvlYk0CogkGYIpNdo+ZqAMTsRZ6dmY/3v1uO1nNdQeHkhXst5DUW/K1Jnq7LJDIx53suDzMkgClSgORushqpfAS3NTJ8+Hffcc4/Pc3r37h30YGJiYhATExP08yONlksG0gyBpzoieVl5uqgjogRN+wyljwVufYM5GURhEGjOhrdqqNISjzcCnDttrkm3MoBRSECBSPfu3dG9uw7zBiKYlgEBOxFrgDkZRGHhL7cDALq0b4NZN1wIa7z3aqiBbN9tXomVwkexZNUDBw7g+PHjOHDgAOx2O3bu3AkAOO+889ChQwelXjYiaRkQsBOxBgJJuHXYGbQQeSDldvjqpPu33w70WxGV23e1p1ggMnv2bCxfvtz1/cUXXwwA+OSTTzBixAilXjZiMSCgVuQ0ySOKYlIn3VCa0nH7rvYEURR1W7fWZrPBYrGgrq4O8fHxWg+HSD3emuRJv+v5KeJGFE38Nbjz99zLCjf63b77ed5VzBEJQCD3b11t3yUi+GmSd/ZYUb7zPCJyddK9cXAPDO3TNaCAQVriAbzWGOZOG4UxECHSG79N8kTAdsh5nj8OO1C5Cfj2XeefDF6IWpGWeKwW9+UXqyWWnXdVoKvKqkQE+U3y/J3HHBMi2UYNSMI16dagl3goeAxEiPRGbpM8X+d5yzGxVTuPM8eEqBVpiYfUxaUZIr1JHeacufBScddjOfjmmGNCRBGEgQiR3pjMzuUTAF7T53yVgw9njgkRkcIYiBDpUfpY5/JJfIskufhk/8sq4coxISJSAXNEiPQq2HLw4cgxISJSCQMRIj0LpBy8RMoxsVXDc56I4HzcW46J0li2noiaYSBCZDRSjsmquwFvXTh85ZgoiVuKiagF5ogQGVEoOSZKkbYUt0yklbYUV6xWf0xEpDnOiBAZVbA5Jkrwu6VYcG4pvuB6LtMQRRkGIlHO7rCjrLYMR+uPontcd2QkZMDMG4FxBJNjooRAthTrYbxEpBoGIlGsuKoY80rn4Uj9r9s4E+MSkZ+Vj+zUbA1HphAmSWqHW4qJyAsGIlGquKoYuSW5EFtMldfW1yK3JBcLRyw0VjDCJEltcUsxEXnBZNUoZHfYMa90XqsgBIDrWGFpIexGKQGu9yTJaOiQG2rZeiIyLAYiUaistsxtOaYlESJq6mtQVlum4qgUove+KxWrgWcHAMtvAN6b5Pzz2QHaB0fhFmrZeiIyLAYiUeho/dGwnqdreu67oveZmnDT45ZiItIcc0SiUPe47mE9T9f0miQZrdtZ9bSlmIh0gYFIFMpIyEBiXCJq62s95okIEJAYl4iMhAwNRhdmek2SjObtrHrZUkxEusClmShkNpmRn5UPwBl0NCd9n5eVZ4x6InpNktTrTA0RkcoYiESp7NRsLByxEAlxCW7HE+MSjbV1V69JknqdqSEiUpkgiqKnRWpdsNlssFgsqKurQ3x8vNbDMaSoqazqsY5ID2cQokWSpMPu3B3jr0Puw98yf4KIIk4g92/miEQ5s8mMTGum1sNQnt6SJPXcIZeISEUMRCh66C1JUtrO6rHiq0YzNcFg6XwiCgEDESK1tbxxTysDdrwG/PQD0LkXkDkZOKet1qOUh6XziShEDESI1OTpxi2YANHx6/db/x4ZN3KpIFvLHBepIBuLlBGRDNw1Q6QWb5VUmwchgLKVVcPV10bvpfOJKGJwRoRIDT5v3C0pVFk1nMso0VyQjYjCijMiRGrwe+NuKcw9cOT2tZE7Y8KCbEQUJpwRIVJDsDfkcNzI5fa1cTiA/8yUN2PCgmxEFCacESGShCt/wpNgb8jhuJHLXUZ5d4L8TsB6LZ1PRBGHMyJEgPLbUKUbt9dKqi2drawajht5SLMqXvJVWJCNiMKEMyJEcvMnQuGz501LYb6Rhzyr4iVfRSrIFp/kfjw+mVt3iUg2zohQdJObPxGO3SveKqm2rCMS7sqqAc/GeOFpZkVvpfOJKOIwEKHopvY2VE837pQhwMFtyt3I3ZZRQuBtZkVvpfOJKKIwEKHopsU2VE83bqVv5OljgWEPOKu2Np99EUzAb6YCu97z3wmYiadEpADmiFB0i5ZtqBWrgS0vtK7iKorO4GTAzWcPtMxfYeIpESmLgQhFt2jYhiqnHHv5e8DNywJLPFVyuzMRRQ0uzVB0i4ZtqHLzYNp3BR4ul5d4yq67RBQmnBEhMvo21EDyYKT8lYE3O//0FoQovd2ZiKIGZ0SIAGNvQw1nHoya252JKCowECGSGHUbqt86IgHsimHXXSIKMy7NEBmdz6quAebBsOsuEYUZAxGiaBCuPJho2e5MRKrh0gxRtAhHHkw4l3mIiMBAhCi6hJoHEw3bnUkxdoeI0srjqD3RgISOschK6wKzyV8TSDI6BiJEanHYI29Xjqcxe2veF+5mfWQoReXVmLOmAtV1Da5jSZZYFIxJx6gBST6eSUYniKIYQjtOZdlsNlgsFtTV1SE+Pl7r4RAFLxILgPkbcyQGVqSJovJqTFlR1moxT5oLWXxXBoMRgwnk/s1AhEhpUgEwb/8M67FoWiSOmXTJ7hBxWeFGt5mQ5gQAVkssPs+7iss0BhLI/Zu7ZoiUJKfPS1G+vvq0ROKYSbdKK497DUIA539R1XUNKK08rt6gSFcUC0R++OEHTJo0CWlpaWjXrh369OmDgoICNDU1KfWSRPoTSAEwvYjEMZNu1Z7wHoQEcx4Zj2LJqnv27IHD4cDLL7+M8847D+Xl5Zg8eTJOnTqFBQsWKPWyRPoSiQXAInHMpFsJHWPDeh4Zj2KByKhRozBq1CjX971798bevXuxePFiBiIUPSKxAFgkjpl0KyutC5Issaipa/BWeQZWi3MrL0UnVXNE6urq0KWL9//YGhsbYbPZ3L6IIppUAKxVaXWJAMT30FcBsEgcM+mW2SSgYEw6AK8NBlAwJp2JqlFMtUBk3759eOGFF/DHP/7R6zlz586FxWJxfaWkpKg1PCJlhLPPi1oiccyka6MGJGHxXRmwWtyXX6yWWG7dpcC37+bn56OwsNDnObt378YFF1zg+v7QoUO48sorMWLECPzjH//w+rzGxkY0Nja6vrfZbEhJSeH2XYp8Hmty9NB3AbBIHDPpGiurRg9F64gcPXoUx44d83lO79690bZtWwDA4cOHMWLECPzmN7/BsmXLYDLJn4RhHREylEgsABaJYyYizQVy/w44WbV79+7o3r27rHMPHTqEkSNH4pJLLsHSpUsDCkLIuOwOO8pqy3C0/ii6x3VHRkIGzNFwcwu1z4sWInHMRBRRFNs1c+jQIYwYMQKpqalYsGABjh496nrMarUq9bKkc8VVxZhXOg9H6n/d+pkYl4j8rHxkp2ZrODIiItKCYoHIhg0bsG/fPuzbtw/nnnuu22M6ripPCiquKkZuSS7EFpv4autrkVuSi4UjFiI7NTt6Z0yIiKIQe82QKuwOO3Ley3GbCWlOgIDEuETMyJyB+dvnc8aEiCiCsdcM6U5ZbZnXIAQARIioqa/B9E+ntzpPmjEpripWephERKQyBiKkiqP1R/2f5IW0lFNYWgg7G60RERkKAxFSRfc4eTutvJFmTMpqy8I0IiIi0gMGIqSKjIQMJMYlQvBaNlyeUGZWiIhIfxiIkCrMJjPys/IBoFUwEkhwEurMChER6QsDEVJNdmo2Fo5YiIS4BLfjiXGJePrKp33OmAgQYI2zIiMhQ42hEhGRShSrI0LkSXZqNkamjPRYJ8QkmJBbkgsBglutESk4ycvKYz0RIiKDYR0R0hVPlVetcVbkZeWxjggRUYRQtNcMkZJ8zZgQEZHxMBAh3TGbzMi0Zmo9DCIiUgGTVYmIiEgzDESIiIhIMwxEiIiISDMMRIiIiEgzDESIiIhIMwxEiIiISDMMRIiIiEgzDESIiIhIMwxEiIiISDMMRIiIiEgzDESIiIhIMwxEiIiISDMMRIiIiEgzDESIiIhIMwxEiIiISDMMRIiIiEgzDESIiIhIMwxEiIiISDPnaD0AIlKBww5UbgKqPgdEAGmXA70uA0xmrUdGRFGOgQiR0VWsBtY8CPzy06/HNj0FtOsCjHkOSB+r3diIKOpxaYbIyCpWA6t+7x6ESH457nysYrX64yIiOouBCJFROezAR4/6P68o33kuEZEGGIgQGVXVFuBEtf/zbIec5xIRaYCBCJFRnTyizLlERGHEQITIqDokKnMuEVEYMRAhMqrUYUDHJP/nxfdwnktEpAEGIkRGZTIDo+f7P2/UPNYTISLNMBAhMrL0scCtbwDtOrd+rF0X52OsI0JEGmJBMyKjSx8LXHA9K6sSkS4xECGKBiYz0GeE84uISEe4NENERESaYSBCREREmmEgQkRERJphIEJERESaYSBCREREmmEgQkRERJphIEJERESaYSBCREREmmEgQkRERJrRdWVVURQBADabTeOREBERkVzSfVu6j/ui60DkxIkTAICUlBSNR0JERESBOnHiBCwWi89zBFFOuKIRh8OBw4cPo2PHjjhx4gRSUlJw8OBBxMfHaz00Rdlstqh5r0B0vV++V2OKpvcKRNf75XsNjiiKOHHiBJKTk2Ey+c4C0fWMiMlkwrnnngsAEAQBABAfH2/4/xgk0fRegeh6v3yvxhRN7xWIrvfL9xo4fzMhEiarEhERkWYYiBAREZFmIiYQiYmJQUFBAWJiYrQeiuKi6b0C0fV++V6NKZreKxBd75fvVXm6TlYlIiIiY4uYGREiIiIyHgYiREREpBkGIkRERKQZBiJERESkGd0EIk8++SSGDRuGuLg4dOrUyeM5Bw4cwPXXX4+4uDgkJCRgxowZOHPmjM/rHj9+HOPHj0d8fDw6deqESZMm4eTJkwq8g+CVlJRAEASPX9u3b/f6vBEjRrQ6/7777lNx5MHp1atXq3HPmzfP53MaGhowdepUdO3aFR06dMDvfvc7HDlyRKURB++HH37ApEmTkJaWhnbt2qFPnz4oKChAU1OTz+dFyme7aNEi9OrVC7GxsRgyZAhKS0t9nv/OO+/gggsuQGxsLAYOHIh169apNNLQzJ07F5mZmejYsSMSEhJw0003Ye/evT6fs2zZslafYWxsrEojDt5f//rXVuO+4IILfD4nUj9XT/8WCYKAqVOnejw/kj7Tzz77DGPGjEFycjIEQcC///1vt8dFUcTs2bORlJSEdu3aITs7G999953f6wb6My+HbgKRpqYm3HLLLZgyZYrHx+12O66//no0NTVhy5YtWL58OZYtW4bZs2f7vO748eOxa9cubNiwAR9++CE+++wz/OEPf1DiLQRt2LBhqK6udvv6f//v/yEtLQ2XXnqpz+dOnjzZ7Xnz589XadSheeyxx9zG/cADD/g8/5FHHsGaNWvwzjvv4NNPP8Xhw4cxbtw4lUYbvD179sDhcODll1/Grl278Mwzz+Cll17Cn//8Z7/P1ftn+/bbbyM3NxcFBQUoKyvDRRddhJycHNTW1no8f8uWLbjjjjswadIkfPXVV7jppptw0003oby8XOWRB+7TTz/F1KlT8cUXX2DDhg04ffo0rr32Wpw6dcrn8+Lj490+w6qqKpVGHJoLL7zQbdyff/6513Mj+XPdvn272/vcsGEDAOCWW27x+pxI+UxPnTqFiy66CIsWLfL4+Pz58/H888/jpZdewrZt29C+fXvk5OSgoaHB6zUD/ZmXTdSZpUuXihaLpdXxdevWiSaTSaypqXEdW7x4sRgfHy82NjZ6vFZFRYUIQNy+fbvr2EcffSQKgiAeOnQo7GMPl6amJrF79+7iY4895vO8K6+8UnzooYfUGVQYpaamis8884zs83/++WexTZs24jvvvOM6tnv3bhGAuHXrVgVGqKz58+eLaWlpPs+JhM82KytLnDp1qut7u90uJicni3PnzvV4/q233ipef/31bseGDBki/vGPf1R0nEqora0VAYiffvqp13O8/VumdwUFBeJFF10k+3wjfa4PPfSQ2KdPH9HhcHh8PFI/UwDi+++/7/re4XCIVqtVfOqpp1zHfv75ZzEmJkb85z//6fU6gf7My6WbGRF/tm7dioEDByIxMdF1LCcnBzabDbt27fL6nE6dOrnNKmRnZ8NkMmHbtm2KjzlYq1evxrFjx3Dvvff6PXflypXo1q0bBgwYgJkzZ6K+vl6FEYZu3rx56Nq1Ky6++GI89dRTPpfYduzYgdOnTyM7O9t17IILLkDPnj2xdetWNYYbVnV1dejSpYvf8/T82TY1NWHHjh1un4nJZEJ2drbXz2Tr1q1u5wPOn+FI/QwB+P0cT548idTUVKSkpODGG2/0+m+V3nz33XdITk5G7969MX78eBw4cMDruUb5XJuamrBixQpMnDjR1dvMk0j9TJurrKxETU2N2+dmsVgwZMgQr59bMD/zcum66V1zNTU1bkEIANf3NTU1Xp+TkJDgduycc85Bly5dvD5HD1599VXk5OS4Gv55c+eddyI1NRXJycn45ptvkJeXh7179+Jf//qXSiMNzoMPPoiMjAx06dIFW7ZswcyZM1FdXY2FCxd6PL+mpgZt27ZtlTuUmJio68/Rk3379uGFF17AggULfJ6n98/2f//7H+x2u8efyT179nh8jref4Uj7DB0OBx5++GEMHz4cAwYM8Hpev3798Nprr2HQoEGoq6vDggULMGzYMOzatcvvz7aWhgwZgmXLlqFfv36orq7GnDlzcPnll6O8vBwdO3Zsdb5RPtd///vf+Pnnn3HPPfd4PSdSP9OWpM8mkM8tmJ95uRQNRPLz81FYWOjznN27d/tNhIpUwbz/H3/8EevXr8eqVav8Xr95rsvAgQORlJSEq6++Gvv370efPn2CH3gQAnmvubm5rmODBg1C27Zt8cc//hFz586NmDLKwXy2hw4dwqhRo3DLLbdg8uTJPp+rp8+W3E2dOhXl5eU+8yYAYOjQoRg6dKjr+2HDhqF///54+eWX8fjjjys9zKCNHj3a9f8HDRqEIUOGIDU1FatWrcKkSZM0HJmyXn31VYwePRrJyclez4nUz1TvFA1Epk+f7jO6BIDevXvLupbVam2VnSvtmrBarV6f0zKJ5syZMzh+/LjX54RTMO9/6dKl6Nq1K8aOHRvw6w0ZMgSA87dutW9WoXzWQ4YMwZkzZ/DDDz+gX79+rR63Wq1oamrCzz//7DYrcuTIEVU+R08Cfb+HDx/GyJEjMWzYMLzyyisBv56Wn60n3bp1g9lsbrVzyddnYrVaAzpfj6ZNm+ZKeg/0N+A2bdrg4osvxr59+xQanTI6deqE888/3+u4jfC5VlVVobi4OOAZx0j9TKXP5siRI0hKSnIdP3LkCAYPHuzxOcH8zMsWUoaJAvwlqx45csR17OWXXxbj4+PFhoYGj9eSklW//PJL17H169frNlnV4XCIaWlp4vTp04N6/ueffy4CEL/++uswj0xZK1asEE0mk3j8+HGPj0vJqu+++67r2J49eyImWfXHH38U+/btK95+++3imTNngrqGHj/brKwscdq0aa7v7Xa72KNHD5/JqjfccIPbsaFDh0ZEUqPD4RCnTp0qJicni//973+DusaZM2fEfv36iY888kiYR6esEydOiJ07dxafe+45j49H8ucqKSgoEK1Wq3j69OmAnhcpnym8JKsuWLDAdayurk5WsmogP/OyxxfSs8OoqqpK/Oqrr8Q5c+aIHTp0EL/66ivxq6++Ek+cOCGKovMDHzBggHjttdeKO3fuFIuKisTu3buLM2fOdF1j27ZtYr9+/cQff/zRdWzUqFHixRdfLG7btk38/PPPxb59+4p33HGH6u9PjuLiYhGAuHv37laP/fjjj2K/fv3Ebdu2iaIoivv27RMfe+wx8csvvxQrKyvFDz74QOzdu7d4xRVXqD3sgGzZskV85plnxJ07d4r79+8XV6xYIXbv3l28++67Xee0fK+iKIr33Xef2LNnT3Hjxo3il19+KQ4dOlQcOnSoFm8hID/++KN43nnniVdffbX4448/itXV1a6v5udE4mf71ltviTExMeKyZcvEiooK8Q9/+IPYqVMn18623//+92J+fr7r/M2bN4vnnHOOuGDBAnH37t1iQUGB2KZNG/Hbb7/V6i3INmXKFNFisYglJSVun2F9fb3rnJbvd86cOeL69evF/fv3izt27BBvv/12MTY2Vty1a5cWb0G26dOniyUlJWJlZaW4efNmMTs7W+zWrZtYW1sriqKxPldRdN5Me/bsKebl5bV6LJI/0xMnTrjuowDEhQsXil999ZVYVVUliqIozps3T+zUqZP4wQcfiN9884144403imlpaeIvv/ziusZVV10lvvDCC67v/f3MB0s3gciECRNEAK2+PvnkE9c5P/zwgzh69GixXbt2Yrdu3cTp06e7RbCffPKJCECsrKx0HTt27Jh4xx13iB06dBDj4+PFe++91xXc6M0dd9whDhs2zONjlZWVbn8fBw4cEK+44gqxS5cuYkxMjHjeeeeJM2bMEOvq6lQcceB27NghDhkyRLRYLGJsbKzYv39/8W9/+5vbrFbL9yqKovjLL7+I999/v9i5c2cxLi5O/O1vf+t2M9erpUuXevzvuvlkZCR/ti+88ILYs2dPsW3btmJWVpb4xRdfuB678sorxQkTJridv2rVKvH8888X27ZtK1544YXi2rVrVR5xcLx9hkuXLnWd0/L9Pvzww66/m8TERPG6664Ty8rK1B98gG677TYxKSlJbNu2rdijRw/xtttuE/ft2+d63Eifqyg6Z8kBiHv37m31WCR/ptL9sOWX9H4cDoc4a9YsMTExUYyJiRGvvvrqVn8HqampYkFBgdsxXz/zwRJEURRDW9whIiIiCk7E1BEhIiIi42EgQkRERJphIEJERESaYSBCREREmmEgQkRERJphIEJERESaYSBCREREmmEgQkRERJphIEJERESaYSBCREREmmEgQkRERJphIEJERESa+f8bkAD2auLEGwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for v in range(3):\n",
    "    plt.scatter(Xt2[y==v,0], Xt2[y==v,1], label=varietà[v])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 2, 2, 2])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lda.predict(X[-4:,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy.random as rnd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "tot=len(X)\n",
    "ind=np.arange(tot)\n",
    "rnd.shuffle(ind)\n",
    "ntrain=tot*9//10\n",
    "Xtrain=X[ind[:ntrain],:]\n",
    "Xtest=X[ind[ntrain:],:]\n",
    "ytrain=y[ind[:ntrain]]\n",
    "ytest=y[ind[ntrain:]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[6.4, 3.2, 5.3, 2.3],\n",
       "        [6.1, 3. , 4.9, 1.8],\n",
       "        [5.2, 4.1, 1.5, 0.1],\n",
       "        [4.8, 3.4, 1.6, 0.2],\n",
       "        [7.2, 3.6, 6.1, 2.5],\n",
       "        [6.5, 3.2, 5.1, 2. ],\n",
       "        [6.5, 3. , 5.8, 2.2],\n",
       "        [6. , 3. , 4.8, 1.8],\n",
       "        [5.7, 2.8, 4.5, 1.3],\n",
       "        [5.8, 2.7, 5.1, 1.9],\n",
       "        [6.6, 2.9, 4.6, 1.3],\n",
       "        [6.3, 2.3, 4.4, 1.3],\n",
       "        [5.7, 2.5, 5. , 2. ],\n",
       "        [4.8, 3.1, 1.6, 0.2],\n",
       "        [6.8, 2.8, 4.8, 1.4]]),\n",
       " array([2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1]))"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Xtest,ytest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearDiscriminantAnalysis(n_components=2)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearDiscriminantAnalysis</label><div class=\"sk-toggleable__content\"><pre>LinearDiscriminantAnalysis(n_components=2)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "LinearDiscriminantAnalysis(n_components=2)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lda = LinearDiscriminantAnalysis(n_components=2)\n",
    "lda.fit(Xtrain,ytrain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "predizione=lda.predict(Xtest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fed27be4f10>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xtt=lda.transform(Xtest)\n",
    "plt.scatter(Xtt[:,0], Xtt[:,1], c=ytest, s=50, label=\"veri\")\n",
    "plt.scatter(Xtt[:,0], Xtt[:,1], c=predizione, s=20, label=\"pred\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sklearn import metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<sklearn.metrics._plot.confusion_matrix.ConfusionMatrixDisplay at 0x7fed250ead50>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
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