Hierarchical_Sneaker_Clustering.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1e014161",
   "metadata": {},
   "source": [
    "# Project Starts Here  \n",
    "\n",
    "### Procedure In Shoe Recommendation\n",
    "1) Load in the data from the \"sneakers\" folder.  \n",
    "2) Run PCA on the dataset and project it onto the PC space to correct the \"curse of dimensionality\".  \n",
    "3) Take the projected dataset with dimensionality reduction and place it inside the linkage function to run hierarchical clustering analysis.  \n",
    "4) Ward looked the best, so we'll choose that type moving forward and scale down the output values.  \n",
    "5) After scaling down, choose a good value to separate clusters (41.965 gave us 21 clusters and that's how many different shoe brands we had, but feel free to change it. Also be careful about the clusters that only have 1 data point inside them, it'll potentially break the system if you're not careful enough).  \n",
    "6) Create a function that preprocesses the image to be ready to be compared.  \n",
    "7) Compare the test image to the reduced image collection and find the image closest to the input image.  \n",
    "8) Look at the cluster that the most similar image seen belonged to and recommend at most 3 images from that cluster to the user.  \n",
    "\n",
    "Number 8 isn't implemented yet\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0b144527",
   "metadata": {},
   "outputs": [],
   "source": [
    "# things we will need to do stuff in this notebook\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import stats\n",
    "from numpy.linalg import norm\n",
    "from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "# two useful data viz libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# setup plotting in a notebook in a reasonable way\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='retina'\n",
    "\n",
    "# default figure aesthetics I'll be using, \n",
    "# there are other choices, see seaborn docs\n",
    "sns.set_style(\"white\")\n",
    "sns.set_context(\"notebook\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "edfdafba",
   "metadata": {},
   "outputs": [],
   "source": [
    "def all_linkages(data):\n",
    "\n",
    "    tree_sing = linkage(data,method='single')\n",
    "    tree_cplt = linkage(data,method='complete')\n",
    "    tree_avrg = linkage(data,method='average')\n",
    "    tree_ward = linkage(data,method='ward')\n",
    "\n",
    "    fig, axs = plt.subplots(2,2, figsize=(12,12))\n",
    "\n",
    "    dendrogram(tree_sing, ax=axs[0,0])\n",
    "    axs[0,0].set_title('Single linkage')\n",
    "    xlim = axs[0,0].get_xlim()\n",
    "    axs[0,0].set_yticks([])\n",
    "    axs[0,0].set_xticks([])\n",
    "    axs[0,0].set_xlim(xlim)\n",
    "\n",
    "\n",
    "    dendrogram(tree_cplt, ax=axs[0,1])\n",
    "    axs[0,1].set_title('Complete linkage')\n",
    "    axs[0,1].set_yticks([])\n",
    "    axs[0,1].set_xticks([])\n",
    "\n",
    "    dendrogram(tree_avrg, ax=axs[1,0])\n",
    "    axs[1,0].set_title('Average linkage')\n",
    "    axs[1,0].set_yticks([])\n",
    "    axs[1,0].set_xticks([])\n",
    "\n",
    "    dendrogram(tree_ward, ax=axs[1,1])\n",
    "    axs[1,1].set_title('Ward linkage');\n",
    "    axs[1,1].set_yticks([])\n",
    "    axs[1,1].set_xticks([])\n",
    "\n",
    "    sns.despine(left=True, bottom=True)\n",
    "    \n",
    "    return tree_sing, tree_cplt, tree_avrg, tree_ward"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d6790594",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "image_collection shape is: (1, 35625)\n",
      "Inside folder 1: Converse\n",
      "(102, 136, 3)\n",
      "(136, 3)\n",
      "(102, 3)\n",
      "Original shape: (95, 125, 3)\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 231,
       "width": 300
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 35625)\n",
      "[[255. 255. 255. ... 255. 255. 255.]]\n"
     ]
    },
    {
     "ename": "NameError",
     "evalue": "name 'image_collection' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_136/2305724286.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     57\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdebug_collection\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     58\u001b[0m \u001b[0;31m# for loop ends here\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 59\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf\"image_collection shape is: {image_collection.shape}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'image_collection' is not defined"
     ]
    }
   ],
   "source": [
    "from PIL import Image\n",
    "import numpy as np\n",
    "import os\n",
    "from sklearn.metrics.pairwise import euclidean_distances\n",
    "\n",
    "# Default parameters of the images\n",
    "default_width = 136\n",
    "default_length = 102\n",
    "num_of_channels = 3\n",
    "default_dimension = 35625\n",
    "\n",
    "# Load in all of the images stored in the sneakers folder\n",
    "# Define the collection of images\n",
    "debug_collection = np.zeros((1, default_dimension))\n",
    "print(f\"image_collection shape is: {debug_collection.shape}\")\n",
    "# Pathway to the main folder that holds all types of shoes\n",
    "main_path = \"./sneakers\"\n",
    "# Makes a list of folder names found in the main folder\n",
    "folders = os.listdir(main_path)\n",
    "# Iterates through those folder names\n",
    "for i, folder in enumerate(folders):\n",
    "    # Keeps track of progress of folder dive\n",
    "    print(f\"Inside folder {i+1}: {folder}\")\n",
    "    # Creates the pathway to the folder inside the main folder \n",
    "    folder_path = os.path.join(main_path, folder)\n",
    "    # List all files in the folder\n",
    "    files = os.listdir(folder_path)\n",
    "    # Iterate through all of the files and add them to the collection of flattened images\n",
    "    for file in files:\n",
    "        # Creates the pathway to the images inside the folder\n",
    "        image_path = os.path.join(folder_path, file)\n",
    "        # Loads the images into the notebook as a list and then changes it to a numpy array\n",
    "        image_list = Image.open(image_path)\n",
    "        image_np = np.array(image_list)\n",
    "        print(image_np.shape)\n",
    "        print(image_np[0].shape)\n",
    "        print(image_np[:, 0].shape)\n",
    "        rows_to_delete = [0, 1, 2, -1, -2, -3, -4]\n",
    "        cols_to_delete = [0, 1, 2, 3, 4, 5, -1, -2, -3, -4, -5]\n",
    "        # Remove rows\n",
    "        image_np = np.delete(image_np, rows_to_delete, axis=0)\n",
    "        # Remove columns\n",
    "        image_np = np.delete(image_np, cols_to_delete, axis=1)\n",
    "        print(f\"Original shape: {image_np.shape}\")\n",
    "        plt.imshow(image_np)\n",
    "        plt.axis('off')  # Turn off axis labels\n",
    "        plt.show()\n",
    "        image_flat = image_np.reshape(1, -1)\n",
    "        # If this is the first image, index instead of stack inside the collection\n",
    "        if i == 0:\n",
    "            debug_collection[0] = image_flat\n",
    "        else:\n",
    "            debug_collection = np.vstack((debug_collection, image_flat))\n",
    "        break\n",
    "    break\n",
    "print(debug_collection.shape)\n",
    "print(debug_collection)\n",
    "# for loop ends here\n",
    "print(f\"image_collection shape is: {image_collection.shape}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "72d7f993",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "image_collection shape is: (1, 35625)\n",
      "Inside folder 1: Converse\n",
      "Inside folder 2: Reebok\n",
      "Inside folder 3: AlexanderMcQueen\n",
      "Inside folder 4: Amiana\n",
      "Inside folder 5: SKECHERS\n",
      "Inside folder 6: BetseyJohnson\n",
      "Inside folder 7: ALDO\n",
      "Inside folder 8: DSQUARED2\n",
      "Inside folder 9: Crocs\n",
      "Inside folder 10: Paul Smith\n",
      "Inside folder 11: Nike\n",
      "Inside folder 12: Lacoste\n",
      "Inside folder 13: AdidasOriginals\n",
      "Inside folder 14: UGG\n",
      "Inside folder 15: ECCO\n",
      "Inside folder 16: DVS Shoe Company\n",
      "Inside folder 17: adidasY-3\n",
      "Inside folder 18: KangaROOS\n",
      "Inside folder 19: GUESS\n",
      "Inside folder 20: Easy Spirit\n",
      "Inside folder 21: Aetrex\n",
      "image_collection shape is: (2057, 35625)\n"
     ]
    }
   ],
   "source": [
    "# Load in all of the images stored in the sneakers folder\n",
    "# Define the collection of images\n",
    "image_collection = np.zeros((1, default_dimension))\n",
    "print(f\"image_collection shape is: {image_collection.shape}\")\n",
    "# Pathway to the main folder that holds all types of shoes\n",
    "main_path = \"./sneakers\"\n",
    "# Makes a list of folder names found in the main folder\n",
    "folders = os.listdir(main_path)\n",
    "# Iterates through those folder names\n",
    "for i, folder in enumerate(folders):\n",
    "    # Keeps track of progress of folder dive\n",
    "    print(f\"Inside folder {i+1}: {folder}\")\n",
    "    # Creates the pathway to the folder inside the main folder \n",
    "    folder_path = os.path.join(main_path, folder)\n",
    "    # List all files in the folder\n",
    "    files = os.listdir(folder_path)\n",
    "    # Iterate through all of the files and add them to the collection of flattened images\n",
    "    for file in files:\n",
    "        # Creates the pathway to the images inside the folder\n",
    "        image_path = os.path.join(folder_path, file)\n",
    "        # Loads the images into the notebook as a list and then changes it to a numpy array\n",
    "        image_list = Image.open(image_path)\n",
    "        image_np = np.array(image_list)\n",
    "        # Remove rows and columns\n",
    "        rows_to_delete = [0, 1, 2, -1, -2, -3, -4]\n",
    "        cols_to_delete = [0, 1, 2, 3, 4, 5, -1, -2, -3, -4, -5]\n",
    "        image_np = np.delete(image_np, rows_to_delete, axis=0)\n",
    "        image_np = np.delete(image_np, cols_to_delete, axis=1)\n",
    "        # Flatten the image\n",
    "        image_flat = image_np.reshape(1, -1)\n",
    "        # If this is the first image, index instead of stack inside the collection\n",
    "        if i == 0:\n",
    "            image_collection[0] = image_flat\n",
    "        else:\n",
    "            image_collection = np.vstack((image_collection, image_flat))\n",
    "# for loop ends here\n",
    "print(f\"image_collection shape is: {image_collection.shape}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "0386fb8c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 254. 254. 254. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 254. 254. 254. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255. 255.\n",
      " 255. 255. 255. 255. 255. 255. 255. 253. 254. 254. 252. 255. 255. 255.\n",
      " 255. 255. 255. 254. 253. 255. 253. 253. 255. 255. 255. 255. 255. 254.\n",
      " 255. 255. 254. 255. 254. 254. 254. 255. 255. 251. 247. 248. 243. 224.\n",
      " 224. 226. 206. 204. 209. 195. 189. 193. 192. 186. 188. 176. 174. 175.\n",
      " 171. 167. 168. 188.]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fd642555760>"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 254,
       "width": 324
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(image_collection[0, 5000:5200])\n",
    "plt.imshow(image_collection[0].astype(int).reshape((95, 125, 3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "ceae0679",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "image_collection_mean shape: (1, 35625)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 282,
       "width": 399
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Preprocess the data\n",
    "# Because of the curse of dimensionality, we'll use PCA to reduce the dimensionality\n",
    "image_collection_mean = np.mean(image_collection, axis=0, keepdims=True)\n",
    "print(f\"image_collection_mean shape: {image_collection_mean.shape}\")\n",
    "\n",
    "# Mean centered data\n",
    "mean_centered_data = image_collection - image_collection_mean\n",
    "\n",
    "# Choosing different values for the number of principal components to see which is better\n",
    "pca = PCA()\n",
    "pca.fit(mean_centered_data)\n",
    "eigenvalues = pca.explained_variance_ratio_\n",
    "plt.plot(pca.explained_variance_ratio_)\n",
    "plt.xlabel('Principal Component')\n",
    "plt.ylabel('Eigenvalue')\n",
    "plt.title('Eigenvalues from PCA')\n",
    "plt.show()\n",
    "#reduced_image_collection = pca.transform(mean_centered_data)\n",
    "#print(f\"reduced_image_collection shape: {reduced_image_collection.shape}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "abdc2ca1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "How much variance is explained with 3: 47.39454362434686%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 282,
       "width": 388
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(80, 35625)\n"
     ]
    }
   ],
   "source": [
    "plt.plot(np.cumsum(pca.explained_variance_ratio_[:100]*100.0))\n",
    "print(f\"How much variance is explained with {3}: {np.sum(pca.explained_variance_ratio_[:3])*100.0}%\")\n",
    "plt.xlabel('Number of Principal Components')\n",
    "plt.ylabel('Variance Explained In %')\n",
    "plt.title('Eigenvalues from PCA')\n",
    "plt.grid(\"on\")\n",
    "plt.show()\n",
    "print(pca.components_.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "fda80a97",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_components = 80\n",
    "pca = PCA(n_components=80)\n",
    "reduced_image_collection = pca.fit_transform(mean_centered_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "cdd11ea9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 682,
       "width": 683
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Before Preprocessing\n",
    "tree_sing, tree_cplt, tree_avrg, tree_ward = all_linkages(reduced_image_collection)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "59c55278",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 688,
       "width": 738
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Chose to use ward because it looked the most separable between clusters\n",
    "fig, ax = plt.subplots(figsize=(12,12))\n",
    "\n",
    "dendrogram(tree_ward, ax=ax);\n",
    "sns.despine(left=True,bottom=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "be9fba4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 5, 1, ..., 7, 1, 6], dtype=int32)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lets look at the clusters\n",
    "clust = fcluster(tree_ward, criterion='distance', t=75000) \n",
    "clust\n",
    "# Because the separation distance between similarities are so far from each other "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "a5861563",
   "metadata": {},
   "outputs": [],
   "source": [
    "scaled_data = StandardScaler().fit_transform(reduced_image_collection)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "2e7639a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 682,
       "width": 683
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# After Preprocessing\n",
    "tree_sing, tree_cplt, tree_avrg, tree_ward = all_linkages(scaled_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "e1356860",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 688,
       "width": 709
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Chose to use ward because it looked the most separable between clusters\n",
    "# This is a tree ward using 80 PCs\n",
    "fig, ax = plt.subplots(figsize=(12,12))\n",
    "\n",
    "dendrogram(tree_ward, ax=ax);\n",
    "sns.despine(left=True,bottom=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3eb2f8fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 688,
       "width": 709
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Chose to use ward because it looked the most separable between clusters\n",
    "# This is a tree ward using 200 PCs\n",
    "fig, ax = plt.subplots(figsize=(12,12))\n",
    "\n",
    "dendrogram(tree_ward, ax=ax);\n",
    "sns.despine(left=True,bottom=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "ab0736cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[15 15 15 15 21 17 11 20 16 22 11  6 18 21 11  6 15 19 22 11  3 15  2 18\n",
      " 20 15 19 17  2  2  6  2  2 19 18 11 14 11 19 21 18 10 11 19 22 11 19 18\n",
      " 18 18 19 15  2 11 11 18  2 17 21 20 15 18 10  8 19 19  8 21 21 15  2 20\n",
      " 11 11 15 11  3 10 12 20 21 18 20 18  3 20 18 19 18 18 19 21  8 19 18 11\n",
      " 22 18 15 19 15 18 17 11 20  2 18 20 20  2  2 18  2 15 11  2 12  3 18 11\n",
      " 19 12 16  2 15 20 15 16 18 12 15 20 12 11  8 20  3  5 21 21 10 19 15 15\n",
      "  2 20 11 15  3  3 21  3 10  2  2 10 19  3 14  3  3 18  8 19 18  2 11 17\n",
      " 21 20 12 15 11  2  8  8 18 17 15 15 11 15 16 15 17 22 18 16 14  8 18 22\n",
      " 21 20 18 15 22  1  1  2 19 19 19 19  8 19 19 15 19 15 19 19 19 15  2  2\n",
      "  2 19 19 19 21  6 15 18 22  5 22 22 22  6 18 14 19  8  5  5 19 18 22 19\n",
      " 15  5 17 20  3 22  5 15 22 18 19 19  1 15 18 15 22 22 15 11 18 15  6  6\n",
      "  5 15  6 15 22 11  3 17  5 15  1 20  8 17 19  1 19  3 22 15  5 18 20 22\n",
      " 15 18 20  5 11  6 19 18 18 19 20 20 11 20 14 15  6 18  1 15 15 22 19 18\n",
      " 11 22  5  5 19  5 22 15  1 18 18  1 20  1 15 15  1 22 18 18 19  6 12 15\n",
      " 15  5 15 18 15 22 18  5 19 15 22  3 22 22  5 15  3  1 18 22 15 15  6  1\n",
      "  6 20 11 22  1 18 15 15 18 22 15 15  1 15  3 15 19 20 15 18 15  5 15 20\n",
      " 20 18 22 19  5  5  4 22  1 15 22 11 20 19 15  8 22 19 21 19 22  1 15 11\n",
      "  5 22 18 22 17 11  5 15 17 19  1 20 22  8  6 19 11 18  8 22 15 21 22 15\n",
      "  8 19  8 19 12 19 22 19 22 18  3 15 17  1  5 19 11 18 20  5  6  1 17 11\n",
      " 15 19 17 21 15 15  6 20  3 22  6 18  6 11 22 15 19 15 11 15 15  5 20  1\n",
      " 18 18  1 22  1 15 15 11  5 22  5 18  6 18 11 17 11  5 18 22 15  6  6 19\n",
      " 17 15 15 15  1 15  3  1 19 20  6 19 20 15 15 15 11 19  6  6 15  5 18 15\n",
      "  5  8  6  3  1  6  5 18  8 11 11 20 15 19  8 15 11 22 14  3 19 15 19  5\n",
      " 18 17 18 15  2 15 18 18 14  5 15 15 18  2 19  8 15  6 15 20  6  1 19 18\n",
      " 15  3  3 18 11 17 19 22 18 20 19 22 22 18  1  1 11 15  5 15  1 11 19 15\n",
      "  3 19  1 11 22 11 15  5 11 22 15  1 19  1  1  1 15  1  2  4  4 19 19  2\n",
      "  2  3  2  2  4  4  4  2  4  2  6 15 15  6 15  6  1  4 19 19  6 11 12 12\n",
      " 15 11  4  3  6 19 15 18 22 19 19 15  1 15 15 18 19  8  8 11 11 14 12 15\n",
      "  2  8  2 19 19 11 18 18  2 15  8  2 21 18 11 20 11 11  5 11 15 19 12 20\n",
      " 11 15 17 20 22  8 19 11 15 18 19 15 12 19  8 11 20 15  8 14 11 19 21 15\n",
      " 19 19 16 21 15  3 11 12 19  8  8 18 19 22 20 15 16 16 11 19 15  8 19  3\n",
      "  8  8 16 21 19 19 20 19 19  8 18 15  9 16 15 19 19 18 11 21 18 11 17 20\n",
      "  4 14  8  3 20 18 18  6 18 11 18 19 18 19 18 15 15 18 11 15  8 19 19 18\n",
      " 19 18  6 19 14 15 18 15]\n"
     ]
    }
   ],
   "source": [
    "# Lets look at the clusters\n",
    "clust = fcluster(tree_ward, criterion='distance', t=35) \n",
    "clust\n",
    "print(clust[:800])\n",
    "# Because the separation distance between similarities are so far from each other "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "8e3a60ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The max number of clusters found were: 22\n",
      "{15: 349, 21: 47, 17: 41, 11: 190, 20: 106, 16: 26, 22: 114, 6: 126, 18: 184, 19: 288, 3: 95, 2: 66, 14: 20, 10: 37, 8: 109, 12: 59, 5: 46, 1: 53, 4: 52, 9: 19, 13: 17, 7: 13}\n"
     ]
    }
   ],
   "source": [
    "max_number_of_clusters = 0\n",
    "cluster_to_samples = {}\n",
    "for elem in clust:\n",
    "    if elem in cluster_to_samples:\n",
    "        cluster_to_samples[elem] += 1\n",
    "    else:\n",
    "        cluster_to_samples[elem] = 1\n",
    "    if elem > max_number_of_clusters:\n",
    "        max_number_of_clusters = elem\n",
    "\n",
    "print(f\"The max number of clusters found were: {max_number_of_clusters}\")\n",
    "print(cluster_to_samples)\n",
    "# Be careful about the clusters that only have 1 data sample to it "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5558260e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def input_image_preprocesser(pathway, PCA_arg):\n",
    "    # Loads the images into the notebook as a list and then changes it to a numpy array\n",
    "    image_list = Image.open(pathway)\n",
    "    image_np = np.array(image_list)\n",
    "    # Remove rows and columns\n",
    "    rows_to_delete = [0, 1, 2, -1, -2, -3, -4]\n",
    "    cols_to_delete = [0, 1, 2, 3, 4, 5, -1, -2, -3, -4, -5]\n",
    "    image_np = np.delete(image_np, rows_to_delete, axis=0)\n",
    "    image_np = np.delete(image_np, cols_to_delete, axis=1)\n",
    "    print(f\"Image Shape: {image_np.shape}\")\n",
    "    # Image truncated shape: (95, 125, 3)\n",
    "    # Flatten the image\n",
    "    image_flat = image_np.reshape(1, -1) # (1, 200)\n",
    "    image_flat = PCA_arg.transform(image_flat)\n",
    "    return image_flat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "b513b10b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_cluster_means(labels, num_of_clusters, data):\n",
    "    cluster_means = np.zeros((num_of_clusters, 80))\n",
    "    for i in range(1, num_of_clusters+1):\n",
    "        # Finds the points associated with cluster i\n",
    "        indices = labels == i\n",
    "        cluster_means[i-1] = np.sum(data[indices, :], axis=0)/(data[indices, :]).shape[0]\n",
    "    return cluster_means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "id": "f437e61f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(22, 80)\n",
      "[ 4.60851614e+02 -7.02251724e+03  5.58894302e+02  2.42057343e+03\n",
      " -1.76530197e+03 -3.42170823e+03  4.25930028e+02 -7.11069591e+01\n",
      "  8.93966472e+02 -8.17455407e+02 -9.39334453e+02  1.57795479e+03\n",
      " -7.83652701e+02  4.33080699e+02  7.31393232e+02  4.19271864e+02\n",
      " -1.90619727e+02 -3.98952474e+02  8.88639594e+01  1.01286854e+01\n",
      " -1.91175606e+02  4.87143944e+02  2.00507910e+02  3.76669844e+02\n",
      " -1.61246010e+01 -8.96198107e+02 -5.76727931e+02 -2.50880930e+02\n",
      "  3.72156036e+02  1.80702694e+02 -3.05534163e+02  1.98198687e+02\n",
      " -2.52945576e+02 -2.18378910e+02  5.34540559e+01  8.60052237e+01\n",
      " -6.92241512e+01  1.27383121e+02  2.12195990e+02 -3.08210171e+02\n",
      " -7.89289472e+01 -2.36703703e+02  5.53172027e+01  2.42886216e+02\n",
      "  3.45350869e+02  3.45675478e+01  1.10871014e+02  2.72577498e+02\n",
      " -4.92632500e+02  7.65840461e+01  1.32184773e+02 -2.21398810e+02\n",
      " -1.17310647e+02  7.58594208e+01  4.40886207e+01  6.73298936e+01\n",
      " -9.22002949e+01 -1.11735284e+02  1.00043956e+02  3.96271776e+01\n",
      "  6.34170513e+01  1.17747085e+02 -7.67347465e+01  1.05281074e+01\n",
      "  1.43649937e+01 -1.43784846e+02  1.31499279e+02 -5.33845702e+01\n",
      " -2.45987331e+01  5.65623854e+00 -6.27168161e+00  5.80417434e+01\n",
      " -1.03038494e+00  1.53387214e+02 -7.32293158e+01 -1.02644765e+02\n",
      "  5.71681864e+01  1.45744317e+02 -6.90447187e+01 -1.66801364e+01]\n"
     ]
    }
   ],
   "source": [
    "pca_cluster_means = find_cluster_means(clust, max_number_of_clusters, reduced_image_collection)\n",
    "print(pca_cluster_means.shape)\n",
    "print(pca_cluster_means[3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "cd6e30e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 231,
       "width": 304
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Image Shape: (95, 125, 3)\n",
      "(1, 200)\n",
      "Attempt 1: (1, 35625)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 231,
       "width": 300
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2057, 200)\n",
      "(2057, 35625)\n",
      "(2057,)\n"
     ]
    }
   ],
   "source": [
    "# Here's an example of how to use the function\n",
    "# Pass in the string pathway to the jpg and it'll pass out the correct image with downsize\n",
    "debug_img = input_image_preprocesser(\"./sneakers/AdidasOriginals/7183714.11683.jpg\", pca)\n",
    "print(debug_img.shape)\n",
    "print(f\"Attempt 1: {pca.inverse_transform(debug_img).shape}\")\n",
    "image_reconstructed = pca.inverse_transform(debug_img).reshape((95, 125, 3))\n",
    "\n",
    "plt.imshow(image_reconstructed)\n",
    "plt.axis('off')  # Turn off axis labels\n",
    "plt.show()\n",
    "print(reduced_image_collection.shape)\n",
    "print(image_collection.shape)\n",
    "print(clust.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "id": "5bbab632",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 231,
       "width": 304
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Image Shape: (95, 125, 3)\n",
      "(1, 80)\n",
      "(1, 22)\n",
      "[[27505.37774444 29700.12158977 30546.03048583 26444.44081077\n",
      "  26890.21514829 26078.10461885 34883.15417157 31427.98444087\n",
      "  27184.39809249 28010.77685439 27897.7636425  31803.14902536\n",
      "  31256.55301049 23834.67574823 22521.0216722  28559.75063805\n",
      "  23280.27798808 25709.73524235 25663.55445964 27820.22759978\n",
      "  27639.29157245 28994.61073643]]\n",
      "[[22521.0216722  23280.27798808 23834.67574823 25663.55445964\n",
      "  25709.73524235 26078.10461885 26444.44081077 26890.21514829\n",
      "  27184.39809249 27505.37774444 27639.29157245 27820.22759978\n",
      "  27897.7636425  28010.77685439 28559.75063805 28994.61073643\n",
      "  29700.12158977 30546.03048583 31256.55301049 31427.98444087\n",
      "  31803.14902536 34883.15417157]]\n",
      "22521.021672200866\n",
      "14\n",
      "(2057, 35625)\n",
      "(349, 35625)\n",
      "(95, 125, 3)\n"
     ]
    },
    {
     "data": {
      "image/png": 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C7/2h/dxkpPu21+vJNB98jwrN+uKn1aoOH6IHa3y/MIzvAvvRwwH+3hXdt6Ll+0x/5SP+aYlfsgAAAErAIAsAAKAEDLIAAABKwCALAACgBATfgU+JKPTpRWFRH2hNScOqUVVsv7xo+a+//IppX9rQCug//1Nf0OWPbTj96F13SJ+5JRvObf63f1v6dB97VKY1jthK1ZW5oEp12/79+UtTvVVW+3afVCa6HwfBPulNbBh60tUA+daWrYx/8eJF6XP+/HmZ5iuOt1paFd6r1WoyzYe8J7luRy2qJt+xIf7Zw4ekz+zuRdOeruk5MVnXCvujpj0Gzaqud61i+1w4p/ttdXPVtKOQ9aUL+rnult22KJzecdsfXVu+cnpKKU0LlCH3QffoIZZez65TtPypfkyud3/+paRvdFhcXJQ+s7P6YIuftrGpD3pUqvZ6j8L5/jjt27dv23VMKaU8OHc/SvySBQAAUAIGWQAAACVgkAUAAFACMlnAp0SUR/DToqKit6oY6eXLl2Xa7/3rPzTtb/67fyV9rv+tvyXTfvXXbPFRX2QxpZTmd9tCl9lf/2vSJ8t127pjO6+FimY2Kq44Yi3T+Yybtp1P9HY6E/0dmy+YZl3rPqblZbttt99+u/TxhS9TSunkyZOmferUKenj8zdRAdNqza5UFPc7ffa0TLvjkM1g3f/1L0ufjotSHQz22/f+zbdkWm/dZnL6W5rtae/ebdr1el36NOo2p3b8Ds37RfnCl198ybRvXr8hffy1FBUMja7TzFXI7Pf7O5p3JbPzGeuiQqORzRdGhUZ9gdKlpSXpMz8/rzOf2nUqUrA0ypu99tprpv31r31N+mTBfcrXY60G13uZ+CULAACgBAyyAAAASsAgCwAAoAQMsgAAAEpA8B34lIgCpX5aVFQ0CrX7QotRwUofvP2jP/oj6XPpAxuO/vt/67+SPk/+tAZYe75g4VgLOGZtW+QwzzXlW8n1c3nH7pMX3npD+ly7ctW0Oz0tmHn9pg2e7zughTdv268FE48esiH2fbftlz5eFHLetWuXTPupn/opO++gYOPVq3bbLly4oMsbdU17blYLtg6CdZo/fMC0v/PMd6XP3/u7f8+0n336Wemz97AG/X/wQxs8b7Sa0qfasufptEAhym5QDPWBu+6RaSf232baz7zwnPTxDx5sdYPCm8GDJtWxnZYFgfVBz4bhJ0E4vNOxRTyjYrRhYN6t0/q67pN7773XtI8ePSp95ubmZJp/QKPIgzbVut5vLl+yBWKjhwOawfZmcl8g+A4AAPCJxyALAACgBAyyAAAASkAmC/gU80X9iuQhUtIijlFxwD/5kz8x7VdffVX6/NZ/8Z+Z9vHHH5Y+7519X6ad/eEPTPvqpavS58nHv2jaD9x5n/TJg9zO4qK97WUjzan9wb/8PdO+saHLb83bYoxf/tJT0mc60kzOh++7FzvXdPk+/3L33XdLn4gvdHnnnXdKHz/t0qVL0ue579qc1OrqTenjC2imlNLVc3Y/PfHE56XPvXc9YNrVhhYMnQb5ujsWbKHRfF5fRpy787Y31BcN+xcW9zv6MuStblemVWZsMc6vBcUwH3jAbtv3v/996fPGG5oB7LmKmVFO0k+LrklfMDR6iXU075s3baHXKO/39a9/3S4ruLa6fd3fk2SP5TR4G7bfligD6guWrq1pMd56Qyv7VvKPd5jDL1kAAAAlYJAFAABQAgZZAAAAJWCQBQAAUIJsGr0SHMAnTpFCo9HlHoVjfRB1ZkaLUZ47d860f//3f1/6fPVnf860L99Ykz6jtRsybTaz63RpS8PJq2u20OjSQS3q+aX7P6vzXrSB9cachmVPvnXGtF9/+XvS5/Zjx017oxuEfrsazq1U5017q7sufTY2bDFIH2hOKS4G+fDD9sGC6HOnT9sCsQcPHpQ+L3zvedM+de609Ll6+aJMm8ttGPrxL35Z+tzz2QdNu3P9mvS58OprMu3BRVsM9KUP35M+l6v2vK0HxTGnw5Fp53rZpP5YC3ZO6zZAPe1oMUwfzo6Kc/rrJqWUvv+sPb/efPNN6bO2Zq+dqBinLz7c6+k5GV3LDz5oj8mv/MqvSJ/dy/a6iYqaRsVXRwPbLwuC6P48Xdw1L30uX7APjDz00APS56GHH5Vp/rYYBf/LxC9ZAAAAJWCQBQAAUAIGWQAAACWgGCnwKRFlDXxOK+pz/fp1mba8vGzanY5mLXy2ZO/evdLnrVfsS3S3esFLnJPmhm649azWtGDl3KwtmHj5nTPS543Woky7/xG7vP5lLTR65kNbIDXa/mtn7fLWMy30Wm8GgZ+OzWlFL19ut9umvbmpL7qOilr6vI0vapqSHu/oJdKrHbu8bpCJa7XaMm1as/v26e8+LX1OvviCad+9e0H6PHLbYZm2ubZq2r2hZpL6yWayphN9YXDTvSC4MtBjNB+8aPhG1+6TRlW/Pn1OqhsUNd29e7dM+43f+A27rBuaU3znnXdM+/33tYivz2Dt3685RV8wNaWUDh+2+3s0Gkmf9XWbHQxqioY5sUpmr+UoO+qLHzebWujU50T9i85/FJ9T+6jxSxYAAEAJGGQBAACUgEEWAABACRhkAQAAlIBipPiJ5y+BnQYli1xKt3LeMq9g8WMXYJ0EnV588cVgeXbeUYD30uXLdt5BoHWmZYPQd911l/SJwvg+ZHv8+HHp48PhtVpN+lQqur+zIKDu+QKtfn1S0uDtm2+clD6+gGRKGk7fd0DDyb6oY7RvI8263d9R8H1uftG0T72vRT3ff9uGqpujm9JndagPI3T7dr3rmT7UMOuKetZzPW7RgwabmQ0+L+1Zlj4zszawHl03k5GdT6uhIevoOhmO7bXkA90pafB8PNXjVgm214e6W7NaxHTQt0U9o6Kis7747ESLkfZzDbV3Nuz1nU302K65hyHadb22+n09blnVzqvR1vXetXTAtOsVLXT67ju2+G21otfWX/mLf1WmpYo7vh/xT0v8kgUAAFACBlkAAAAlYJAFAABQAgZZAAAAJSD4DhQQXSZ+WpG3u0cB5p2+Fd7PK1pHP28fzE0prq78jW9807Sj6sq+SnOlooHyX/qlXzLtdlsraVeDytlF+HB0tPyGDwIHourWfr9Fx82vdzSft99+W6adettW7vaB6pRSmluYN+2o4nt0vGsVu04bGxvSJ7ngf284kC6377HV++/oacj52cvnZdrF4appz+Ua4O4new62alo5vjvV87SV2fMtemBgdl7nJSZ2vw16WqU8qmbup42HwTmR231bSTqj8URD3f78GgaB+f7AnScVvW80k+3TzfTaqk71OqmO7ToNJmPpU3GB9fVVPbeW5nT/12v2HJhb0uWPr10z7earZ6TPu7cdMu2rVz6UPn/nt/87nbc73vV8+wdfbiV+yQIAACgBgywAAIASMMgCAAAowc7CEMCPoaIFG70imaioiGiROONOCp1G2xF97saNG6b9zDPflT4+N/S1r31N+rz99imZ9u67NjeUBZvqM0itluatfJ9KRW85A581SSlNJjptO6+99ppMizJoBw8eNO1Dhw5JH583i3Jj/jhFfR544AGZduLECdP+9re/LX26WzZvFu3bKG/lM1nR54Yju95zTc2t5S6T0wsKbzZy3d6Wm1ava+HNujuZakFurh7lneo2ExRl8IZDmy2KriW/j3wh0D9dJy3G2XKZpMtXr0uflOzyo0zgNOk6DV0ubjTSnNyMO5bRub0+tcvPm1r4M6voOm1uunOiqse7ndw6zeo+ms7slml51V0nH1ySPpVX3jTt4WdPSJ9abda0B2d0H/XXVmVafcHnAslkAQAAfOIxyAIAACgBgywAAIASMMgCAAAoAcF3fGrstKhnEUUKffrQbUoahi4SfI+2Y21N3zj//e9/37Q/+OAD6fPkk0+atg90p5TSvffeLdMO7LPFKP2yUkrpn//zf27aMzMasv2d3/kd015YWJA+TzzxRLBO95p2tN8aDbtv/WdSSun3f//3ZdrJkydNe9euXdJn7167/UtLS9LHB+ajPs8995xMm5uzQdw7jmvI94evvmLai7t1HaPAdmdzS6Z5jYYNUNdbWoz2xoo93/rvnpQ+3eXbZVozd8Uop3pNLNft8qoN/RqqZHqe5PtcqDrXc2LkCn1GBWLHQzttGoTjBwMNVVdqdj131zRA3hnY5VeDBwaGFX0YIKvZdciDbau745YFAe6mu08NJzqf2YneyxbnXNHikZ5bWXuPabcy3bfT0/oQzey83U/Tmx3ps/nZ+2yfg/t0Pmt2H20lDf53+/owyEyal2kfJX7JAgAAKAGDLAAAgBIwyAIAACgBL4jGJ4IvKhhldHZaMLRITqqIKCPj81U3b97ctk/R9fGFJodDXb7v41+q/KPMzdpszSTYtmeeeca03333Xelz/aYtmPr+++9Ln0qQUfmt3/ot077//vulj99vjYbO58aNFZn2R3/0B6Yd5XZmZ23hw+i4+aKmX//616XPW2+9JdN8MdL3Tul+e+sd+2Lp9tys9ImKcU7HLreypRmtmbbNhI2ClxG/99Z7pn3PH/+B9Ln0K39Jps3OLpp2K+nyd1VsLnBS0XNrMtUXDQ/nbLYnerF2XrXXTrSPfCZrpqkFW/vBS7Pzqp3XKLiWXJ3XlGW6/Chz2XRFQ/t9fWn10L3IOip0OnTHfzTVdaw0NQOX1XyhV70HzbhrefThFelT279Xpk1rdr3zkWY3N5Zsbqpe0fO9414a/vpzz0if3/yNX5NpR088bCfcmtt9YfySBQAAUAIGWQAAACVgkAUAAFACBlkAAAAloBgpPhF2Wmh0J6H2KMDug/cppbS6umra3W532+X7QHX0ufPnz0ufqIio54tMRp8rEs7/03628OPiwqL0eeorX7Htp56SPoORLc747LPPSp+oiOsHH9iA/GikQeTHH/+c66PHaHFxUab5IqKnT5+WPn4/7d+/X/qsr6+b9tNPPy197rjjDpn23ns2VP7OO+9IH3/cwmM01OC3P99qNX0YwM97ONCijvu6dn/v2bMsfXq7F2Vaa2iD3tNKELJO9mGUaNt8gD8l3bboc5WKneaLAaeU0rBvty26R0TX+2jgrp22Bs8nfXdMhvrgTTVYb7+8aVCMtJvbeQ+D+SzW7OcmsxpE39pcl2n52/bhi9kVvZdNb7cFQrMTB6XP8G0tiDw9dNgu/9Bu6bPoHj5ZGW9Kn3m3a/MNfThg0NVrYuB25fZ30luLX7IAAABKwCALAACgBAyyAAAASsAgCwAAoAQE3/GJ4KtyR5Xco+rOPhw7GGiA+vLly6Z99uxZ6XPt2jWZ1mrZqtTLyxoOvueee0x7dlYrWc/O2mrHvvpzShqyT0kDzFtb+gb6TscGSDc2tE80729+04azn3zySenz+OOPmXYWhHX9/t7c1EBrNM17/fXXt+3z+c9/fts+KaX00AMPmvbVq1elj6+UHp1vvpr+pUuXpM+ZM2dkWrPZNO16VcPpPngfVaXPgpcZ+BD3zIyeS0UC5Avnzph2/9gJ6TPX1vVurdvj3atozHhasduST3U+WfCgwyiz104U6h+O7eei4+ZD5r2eBv/Dz7nK+K2B3m/SyH5uEj2wU9ev3d7Ehrizqi5/3lW8j6rC96/Yddzz5jntM7ou09rtPaadP/6QruPUnpP159+QPrW79B7Y2W3D99UtPZe3hva+VGvOSZ9Bsp/r1nT/r1/Xbav6Z32Cw1YmfskCAAAoAYMsAACAEjDIAgAAKAGZLHwirK7aAnpRtijKKPhMyq5du6TPwYO3mfZttx2RPlFGI3cZpH5fcyQXLlww7U5Hi5Hu2WPzEPPz89InKqopcY8gozN2WZ7Nzpb0efnll2Xahx9+aNrPPKNvvP8Hv/3bpv3oo49In9lZu/+jjFCUZfLHyeefUkrpxRdfNO0HHnhA+rTbmoHzvv7Vr8m0P/zDPzTtqKilLyI7N6c5koWFhW0/N50EB86db9H5VwuyXFHm0KtM7XkbzbvZtdmWSn639Mknmq2Z1F22aKgFOzcrdh3nRrod0+b2BTvrdZ13f2jzVVFOs9GwnytS+DSllCau3yAIxdVdseFB0nlPgml5x+23FS0YOrPRMe3K1RvSZ3rA5v0u7d8jfeYWHpNpgwP2upy9ovPOnz1p2r37NadXOXZMpo1u2Dzr2kC3f7lll59lTekzSHb7a229J6xurOjy3SlAMVIAAIBPAQZZAAAAJWCQBQAAUAIGWQAAACUg+B6IgqBeFIz8tCx/p6L19usZ9el0bKDx3DktoPfd//gfTPsb3/iG9KnWNSx5//33m/bevfulz9gVGTx+7A7p89BDWpzv8DEbmG829G+W3a7w4Nq6Ft4czrswflWDob3hUKadeutt095ywdiUUvrMQw+bdmNBw9lPfeUrMq2W2W05+8EZ6XPuTbv8+x68T/q0chszPX7ouPT58H0t/jro2SBwf6APNfhirOvBvq0H58S/+H/+pWn/5m/+pvRZ3L1k2kUKpg6DYzTTDIL3E3tN1Boa/Pb63aBgZl3Pk1bbBoiHA1+JMaXNrj1PomKkrVWbFu4s6LI2exqyr0/s+d7MdPn9jp1XuxncN8b61bSwbh/aWBvp/q7X3Of6ut5Dd97kbd3+KBztT4FR0m0b3XAPDARFjPObGiqvuVD/ZH5R+vT223vX6E4NnmdVG+qvt3Q/Dvp6n6i8c9H2cQ9npJRS7afsPXDS1nvJcEv3ScrsubS7qes0loc/9AGdWsVeJ82k1816T78X68mfJ9tfb7cSv2QBAACUgEEWAABACRhkAQAAlCCbFgkAfYoVyRHtdF5xAcvyxrW+WF9kp8svcpr4IospaaHJK1euSB9fQDF6YWvXveg4eqnxvr0HZJovEDkcambgyjX7guDz589Ln4sXL8q0PUv2xadf+wXNNn3uM7bw3zT4u8a9UzZ8GXAr0xzD1au20Ok/+We/K33aLpP01ae08Oakouf7u2c/sMuva47h9Lv2JdJPfP1L0ufhu20Ry9FY9/83/43m6zodew6Mp7qO/pys5Vp48jOPPirTlpZs3ip6QfSrr75q2tWqHjdfWDU6blFOq1ZzxTCnuk/8y499bvFHzbvRsse7kutx8+s5CW53w+dsBnJfXwt/Dj6rxV/HyWbQxoPgXJ6x53JjrHm7fDZIRVXstjUrek9ad7tkK8jk1V2Wrbml95veRX3R8HTDZqnaHT1uXXd+tw4f1D6LmmWaLNqitc1ZLWLriy3Xgus2c5m0/KpmwrIP9R685grLzj18r/QZ9G2fVq73pI2q5vSyjv9eCgq0uu+u6Ds4c9muU2+/JX0O7t8r0/7yX/lLdkKu53KZ+CULAACgBAyyAAAASsAgCwAAoAQMsgAAAErwEx98j0S7xE+Lg3nbB+aLzCcKsBcJrBeZd5HPbWxsSB9fIDQKC0fr6OddJJwfBYjbre1DxlHBSJ+XjvaJDxn7QHNKKd28eVOmnXz1NdN+64MPpM9+F8T8WlD488s/8zOm3RgHx22kIdu8bvt9+9tPS59O1+6TfByEhXsaqvYPDHT6Gg6+dNmeA4/cpWHZL//sU6adBcf/j//dt2Ta5WuX7YR6UFTRPTAx6mqAupFpGL4WFFGUz7kCodH5VqnYeRc5/1PSIqrRvP156kPPKcXXkl+n4VjnXXMFK/2DACmldPWqDX4PXviB9DnW15Dz1vHDpr0xtyx96jN2/zdHQVi6rfutMl437WpnXvrMXrN9Ns5pOHrgru9JW7e/fnCfTNtcsutdmZ+VPv4hhuiciB5YaNZc0D94GCIbueMd3BOyK+4BnbXgvD2iBZk3F+0DC9WR3oMq/qGV4JrcCIqv+hD/KDje/jppNFrSx1/v777ztvRpzWio/b/+m3/DTaEYKQAAwCcegywAAIASMMgCAAAowU9cJsvnGMosDlrETouhRnkM/7loPlERT5+3unFDX2DqcwTR8qtV/R99sSJzdlqRbYtEWQefd4mO906LSo7HdtqH72oR0xdeedG0T5/SjMj9j3/etP+b//y/lD4HHtSXwc4mm79ZWdEig//hD23eaTQMXpg7p/mHdt3uk2rS/X9xzeYvvvrAY9LnzodtwcrhWJe/sa55tz/+93a9K5Mo72TXaVwNClg2dNpgfc20owzexBVnLFJYODq3RpPtC41WMv2c7xNlsqLiv0Wupb4rEOpzXCml1HTnxMrldenTe/sdmXa7Oyeq87r/J3faF4lXDxyRPv7aSimlxg/stbS4uSZ9Knfaea0dvk367HaZvGGQLduY1SKmm123L5ua/5kO7bzm2npujSd6n0zu3O2s67aNLnxo2rs6evxHu1ze7JAWaF5Z13NprmEzWcOK3gPzzGV+B3pNDILru+Kui8FA853+u8MX7E1JC/K++84p6TOVl0Gn9Hf/7t827WZLs3xl4pcsAACAEjDIAgAAKAGDLAAAgBIwyAIAAChBkMD7dPPh1CKFR1MqFiov8gxBkfkUKUYahWx9wcwLFy5In7U1DVSOXZG5IgUUo/Xu9TTQ6APjPtCbkm5LkYKl0XwiUajZ89tfNHjfmLNh0fvu1mKcy3t2m/bG5x+XPoPMbsvv/dE3pM9X1p+QaY89+WXT3r2oBRTvWzpo2s/9038qfRq7g8J/h2wR1cnyIekzu7DHtC9s6H7b37fT3npHw9LHbj8s0w4cOG7aF8+ekT5TV9RwOtYAc55p8Lpa277QqC9G6s+RlDR4Hp2Tg5EGcX1RxWZdQ75FCp1OgmKUvviuv25TSsmf3tH5PnXn5NLetvTpzN4n066s2ntAxT1Uk1JKt5+050AePGjTv+t+mZY+/znTHLz3pnRpDGyouxls24oryDtX05D74obeyxan9jxZr2iAfH1q59WtasHSNNR5V87Ywpoz13SfTBbtveTmCX0Ypta21/IkKDTcDJ4P8adgbaBDg3X38MVGT4s/L87ovvQPqETnsp8WPejhVet6vY2Da2J93T60QfAdAADgU4BBFgAAQAkYZAEAAJSAQRYAAEAJfuIqvvsAa1TtuIhbVak9CgFubGzItOvXr5t2VJXdf65IeDBahyLBxKi6u6/Im5Jub7S//bQiwfOo2nW0Tv5z0XHzy4/mPT+vYcmOC153VnT7s8z2qQRVySt1W4H6wvX3pU//D5+Vab/2j/5X095zWIPvDZcDffvb35c+b558VaZdvnDatPevbEmf/bN2W6409Xyr3vtZ0z76yEPSp9vWUPXJt9817cpQA60Ndy2PJrr8vKHn8lxjl2lH11vLpYOja8IH2KPrLfpc3VUKr+Z6TfjzNDq3o8C+X6ci19LsrJ7bvuL6OKi4X6/oOg2SXafNTQ1Hd/v2Otl/Vt9UMHf9qkxrPGKD9vmho9Inu3bJtMfv6RsWKsv7TXt67Lj0GWZ6n/AP0Yw7uk+aU7ttl4Nra7Sm11LjNvvwR/eIPmhSWbD3iemW3m8aQxt8H0z1wYtJQ7+nWm17vt9w3zcppdRx6z3X1FB/q6nB9/7UXqdRNX9/fg+D691fE++99570qdd0237913/VtG87rMe7TPySBQAAUAIGWQAAACVgkAUAAFCCn7hipEUyWGFxPvf/4Gg+vs/Kyor0KZKtirIdvtBnlP/yxRCL5s0aDZsRiZbv8x9Ftj+l6H/t+v94P++o8KMXZV0ift7R8v1+qwa5qc1NzT/4/EttRj+31bE5hnamhT9XXZatfk3zEO2k5+TTz37PtP/yr/056TN0x6l5fEn67L9+UKaNW3afnButSp8jh+8w7ce2NCPUdUUWh6e1OOWgr8dkacbup+nxI9JnreEK5NbmpM98U/NG/aHNYNWaWgx0muz1FRXazdP2hYWjLFWa2H6j4H4zcnm/6HyPip/65UXr5M/bKINYcYU3R5luRy2Y1mjbTM5scE3M9BZN+/zeXdKncnpZplXduVO/cFn65PfdY9pbj2oR34WLNu81fOkN6ZO5IsIppZS79axe0XO5c9MWe17atSB9xg9podWrdZdlmuo5mdbtddIKitjmyd47N3t6TTaneg8auiKyk4F+B+za67ZlqOdkb6DncqVu+43H+jl/n86yoPiu+1qIvqdmZvQeMBzqPvgo8UsWAABACRhkAQAAlIBBFgAAQAkYZAEAAJTgJy74XkQUMvXB1/Pnz0ufS5dsIbwoLOtD5lFYPJrmw+BRoNZPi+YTBb+LFEiNtsWLgohtV2gyCswXKeLq17toyFgfYtBt82+Jn/iEZbD8lFLKXJ6yMavb1nEB4klXQ5hZyxY53LMSPHhwVIPAackGUUcVDbTmLvi6fOKo9BluaXHE9KYNR2/e1OD/O5ds8Djfr/O+/1d+3bQbNQ3GDla18OSFH75i2r33T0ufrYoNfq/u2yN9Vha00Oi4Yfd3oxaEsxs2iNwJrqWRCwe33XFMKaXRZPtaz7W6Lj+5Bx2Kndt6nkbheP2Mnm/Nti00uTFclz614DqpdlyAOwgibzTsPpkdSJfUv+eYTLu21z7EkF3X4Ps+V/xzoabFMaf32HB8vl9D7s3TH+jn3rP39/5efYhk5rFHTHvQ1GuyOtZ7155New1mdT0mG+5Bi8E0ON8q7gGlup4j44o+6NB3xT/nm7ptec8et/WJ3jd6vvpxSmlPzT4wEH+/+PtLgesmOLdbLd3f/WFwgn2E+CULAACgBAyyAAAASsAgCwAAoASlZrKiV09rlEb/Z6zz0f9hR5kczSDpvFdXbbbAFwdNKaX1dc0fbG3Z/2P7gn4ppTSZ+IJqUXFOO64djXQdo+KAvlhbtHyfx2hGL+sMclN+Wj3IiPj8R5TRipbnj110LCvuRbO1mmabBgO7/WtrmrXJc80I+Je6RudNkZeGh+9Rr/nCj8HLpyc22zJNmu2auv2fd7RAbev2e2Ra98Mzpn3pWlDYdmSzDgstzVpsBZGgtYk9vo3mfumz3rWFF1//UHMsnc6qad+954D0mWR6DfQP3WXag+Xb9XPX7IuFFy5pccjd72je60rdZdkeekD6XJyz500eZKtmG3Y+9YbuyKx7U6ZVK/YczEdB8d2KnVe9pvmbNNZreezuHUHdR7lPzQfX7XBs7y+tsV4TrSBv1RvY8zu63wxdlqtR1WxNe6TXab7HvgD9eq7FODdcgdzuB29Kn5kfPmfbh/XcGtx3r0zr53Y/TXK9lnNftHqiX7FzQaHTGyN3D+jpvBddLm9zS++Bm7ldfh7kDWsp+F4YuHnpu5/TpvvOqSedd3Og10nfvRC82dZzued+74nyVptdV0S4Erz8fS4oRjpw19f2ca+Uto8JF8YvWQAAACVgkAUAAFACBlkAAAAlYJAFAABQglKD71GNSR8gjvr4Gnt5rp2COnzpyhVbnO7y5YvSxwemo5B5NO8iBTOnUxuwi4oFamBcx7lR4Usf4I7m7bclCrBHwcCNDbtPfBA8mlcUaO10tGClX+/ojej+c75ga0pxqN7zDwf86fJ0X273uahYXhTEzNyxi/ZJa9YWY+11Naza69rt76/rOXm7C/2mlFJjzgav3/l3/1b61O60oe7pYU19rj33ikzr/uB5014c6TrNzNkQfXdR07LvV+15c37yofRZmtF9W+274rtNDcsOZhdNe/5+DdVfD8LBW+dsYdOl7z0rfVoueH1pSYvBdm53y7v9kPSZLOr15sPpwyCdnrsgdG/tivTJgn0yrtlrZ76u11K17h70aOi11enYh0jyqt5LNjp6TrSbdnkzM0E43d9vgmKRtfAhGvt11WwGhW1dYdXJicelT3ffimkP339L+sx8+JxMy44eset4mx7v5ILm01yvt8lIHxqacYV0x13dtsztt5neqvRpuOD5NNiPa8H+nrp7WRY86FB1afBKXft0fYA+pZRl9hzorK1KH39/jR7s8ufNJLjft2eC+4Sb1zCYd1wQ+NbglywAAIASMMgCAAAoAYMsAACAEmTTsMrirREV2vTFOKOCoeOxXaXvf/8H0ufcOS08OBrZ/7XOzOj/o+fm7Msqo/xRlL/yOZ3of8Z+XlFxSp//mZ3VHEuRFzRHy/efi3JbEZ+b2tzclD4+JxXNO9qXfnujnJjPTUXzqbiXAUcFQ4sUX93p6R59buKKSI6TZi3GrmBfVtcY5I3LtiDuHS+/JH1u++W/INPu3mczItmcZpteOWnzJtf++Pd0HTttmbZy4KBpr81p3q533W7vzLoW3pxfsbmdxuwu6TP3iBYDveRetr1vQTNRbZdb6Qw0fzfO9FraSvba2djSbEfFZefmrmqh1dqqLf7ay/XltOmu+2VSfsS9/Lip95uWyzaNelpotxVkqaYje54OgiKqvaGd18yMXpP9LZfbCqoz1ht6Lvt7sH9BfEopTV3Gdit4QXk7uC92MrtO0+C95nlm16nRDmLHvmh0CrJFp9+Tafuu2FxcdaT34OyB+0x7vKxFfIfX12Ra093P2kc1X9hctOfXaE3nM7juim1v6b18pq05QX+fXo8yt+67elLR88bfp1NKaTze/v6eZXb7s7F+v5xy97KFIO947713y7SFJVv89ai//lJKu3e7ArFBDnyn+CULAACgBAyyAAAASsAgCwAAoAQMsgAAAEpQajFSDbmrKAR35owtWBiF3KNweNsF+ppBIbwtV/gyCnlHRSV9YLta1V3nC6pFBSz7AxswnKyvS58oDO/3U7T9PrAfrWNUsNPPOwqV+6B7NJ+oiKgPtUbr5LclOie2W5+UihUs1WKw8Tp5UdFa/1xDvR4E792m5NExWbEB6uFQw8qnrmph3dt27TXtxVktxHfUBTgXljRQe/KrD8m0cWPRtA/V9HjnYxtqXk16LW1det+0N989K30qL78o05r+HHjoPulTud0GWNeCcHj0oMFoYM/v6Dpdrdl9eXVRl59t2UDv8LKG4/ddPCnTlt553X4uKGKa32OPSW15j/QZTvU+1e/bc6nW0jB+s2Hvk4MNPbbTzG5bFoTcpw29T/Q69tytZHqdVqb2c/Pzum3R9dae2vvEMLhsm4v2HjRNum1bN+x3QLu9W/qMDtwm097bZYv/Ll5flT673n7Tzrt1WvoMDx6XaZt1uw690/qdN7vLHsu5A3ot737YPgyT31yRPtfO6TWYenaf7G5oqL3p7ku9nu7beq4HZaXi+gXfHbk7lSZBEenNDRv0P3JYr5tKTb+D/PfJevCdu7Bgj20l2I6d4pcsAACAEjDIAgAAKAGDLAAAgBIwyAIAAChBqcH3mKsaGwSYX3/dBUODENzePVpJdzTZvrJsrzdwfTRknAehNx/OjoLffluiQLUP0I+DqsFR8N5vS1RJ2X8uCnlH8y4SmPfrvbq6Kn2iML6vJh8dS7/fom1bW7MVuKP9XyRUH1Xz9/OKzslo2/qu6n421SDw3IwNGW8F6z3jqhsPKrodp27ckGlz775t2j+z+Dnps3X2XTvh2D3SJ81p8HjXug3MdjtB5WiXMZ3v6bHdc8CGfPu3a4C8c03Dud1LZ0x79N770mfyQxsq7+9ekj4rR4/ItHrHVu6+/x0NGffr9lievet27bNgq9d3j90pfW7W9GGI+rrdl3uu6bHtf+fbpt1cWpA+oyN6LDuuon4jqMq92HDnclCofji11+0kBW9KCJ5Pqbrq6fVp9BXjlh+E4zO9lFLVXSfTlq7TcM2Gmts1fcPAaNau0yDTtxnsmtUA9fycPb8mu1alz+V99lqaef+M9Nn91isyrXbYfm5y9F7p0xnb/dYJqtJXz18w7dvu13Nk16OflWlXPrAPm61f0Adtaq7qf7UV/Uaj32e7KvYa6Ofap1G3J+HF9avaxz1YtXf/Pl18UKm9786b6KEK/71UqRF8BwAA+LHGIAsAAKAEDLIAAABKkE2n0+Cf7bdGnG2x7VOnTkmfb3/7j007KvJYC6ZpJkrHkH6VomxPVIyz2dRsg1ck26QZMN1H0SHx84rWcWXFZlt8gbUf9TlfMDR6//jcnM0WdTqaY4jyVvPz8+5zmu3xebNWUEDRZ+mi7YhyU158TOzyo22LCq365Q2C4pCzNVtY9mZP8wBbLzxv2geSbtvbxzRbtOxyMnfOagHF3T/8jmlfe/Jx6XOjqbmVBZeTWe3qsa3kts9wpMc2n9hzMJsPilpOgmKYVbu/856elStnbE6rd+YN6XPkfS28OLtuj8G1gwelT++EzZJlPT22c1173gzmFqXPjSWdVt1jC0+2tYZsWuzYAqn7bmoBxfycFjqd5HadNo/cIX22Tpww7e6i3ksXXMHWQXBtV4LrbdixOdCZINtSdedWb6z7trmguUx/lsyneenTHdte/Zqud8NVEZ76isEp/u6qulNwGhS+7G7YbRnM6L5tdLVobu3550x7KQVFk++zmb/+Xr0nNLfseq9NNf80H2WZXL509Zpmoio1e7wnQf6pUtHCvlWXJctq+l06dLP6zjN/In327LM57AcffljnM9VjOXT390N7dPuPHLH7cnZ+TvrsFL9kAQAAlIBBFgAAQAkYZAEAAJSAQRYAAEAJSi1GGgWRh0MbDHz/fS0y6APUUcHQrY4GA304eTDQzzUaNlQdhaxnZzWJ6oPWUci7WFHLyrZ9ihTMHAw00Oi3JZp3VKB0J32iAHmR5UWFXodDG0zc2tJweJFCr1Fg3T9E4Iuq/qh5edG5PHZh/NTcPow/Mzsrfdbdgwe9xd3SZzrSc/lG3wbNux++JH2ecO3rUw2mTse6bYOq3d/1se6jftfu78q8FgPNh3YfdSd63i4MogKCtt9orOH4xYk9b0YLwfIf1gDr6f02DH4tuJbnXDXM1kT30XrNrnf7ohaHvMsVeUwpper6AdMeHtcipjO7XeHJXcvSJzv8NZk26663mWCdWs8/az8zr8VoL56w65jXNeQ9yIPzfdbeg/oTPW83t+yxbTaChyGGwX2x6h4iGWxIn6o7vRtBVVO5TQXb0R/rOdFz51u7pddyrWlnnm3qvayyoA+arH35i6Y9OKvnzfJ71027flaL+Pbusg811Jt6vfdXr8u05MLhM/XgoTG3n6p58DDYUI+3v71U/BMEKaXzl22B4LXgAakn7rTX7Xiq50izqQ8arF+1If7GbXou+++J6OGz6Hu5CH7JAgAAKAGDLAAAgBIwyAIAAChBuS+IDsqcnj592rSvX9f/D/scS1hAUv8dK5+LClb6/7VGWZuo8KRfh+h/v37e0YsoRyO74tFLrKNsk1+naN6Vit2WKMuWBRkFvw/m53TbogzYduuYkmbXomPpi6FGL4iu1Wy2IDpuUd7Kv6A62rf+GET/e4+OU8O9yHltojmO1fU10x41NAM4GdicopZmTKlZ1WOSJZddvKb5m5v7bZZnYUmzPVsdXe+1LZuJmJ/Vwo9p0+6TelTWOLdZqpmJ5ljyXHMj9abLW72jRYtr12+aduuBB6TPeL8WbDyS2e1dXrkmfW6urZp2Z0MLSC4ke75tBi/fbu1alGmjczZvs/eZ56XP8KcfsfM+oHmz2Yru8EndXjvZfi0+W9my5+Tw1Gnpc+KFN037wyCjNH/vXbr8A7aw66il17KLYKapD1KllMbBS9Kr7uX2eS24lkf2PjVT1/zTcGTn3Rtq3q8d3EsGI1sQdrKh9+Bp1WV72rqOs1mQJ57YfbB5uxaRvXHQncuXLkifpZOvm/Z4n+bt2q4YbUopDVxWdhLsE3/LHSU9J2ozeiwbmZ02Cu6vb7qX3d9zv75IvuGq9kaFxLO+fk+t3rTZtSiH7b9Pdpq/ivBLFgAAQAkYZAEAAJSAQRYAAEAJGGQBAACUoNTg+3CoxSF90L3T0aDadOJWK9PVrAShz4ErYFgPwpO1zIbnonB8GKhzQbhqTcen/q30M5kWNR0VCIL3+xp97rmijqmiyx+54mxZCt6SXiDQ1w8KRqbMzns4KlZENblpoyBAPjdvQ9Xj4ImJ3B2nfhDEHwfB881NeywXFxf1c2O7jtOphl6jUH1/YOfdzDT4P7No531t7ab0aWzYkPngsIZ10yB4iMKFw5e7WsBva+9nTDtf1QD3TE2P21bFTouupbF7+GNU0WNbz+yx7QeFP7OWLr/6w1dNu9lZlz5zT/20aV9Z1UBxffOqTBvlbtvqWvx1+aA9BpO+HrfhaNG0q0EBxcq6fm5hxQbfKw8flT5b83ad8hvBkz6nX5dJvZa9LzR2HdLPLdt5dx/6vPbJV01zaU0LX07OaMHMyttv2fa+vdKncXC/aXeWNZw9nep9uefur7WJXm+1ZD8XPbAyyOz30rQaFN6c6vmeT21gepzruTxwD9ZUKhoEH46D+7Lb3JmoIHXTLn96QovY3li2D0jMvq0PjGTPvSrTGq6IaXdJr4lJz+63ZvTgRa77e1yz94BTp/QBHV9r+M5jum25W1wluCdduXxRpt157Khpz88v6rx9kfCg+HMeFFEtgl+yAAAASsAgCwAAoAQMsgAAAErAIAsAAKAEpQbfz5w5I9MunLdhyfX1VenTcFWxxz4Vl+KK37Mztpp0FKCu1OwmR2/bHgx0ebp8DV2ORzb0F1UX90H76rRYdXHPh9yj5WWToAR3kN2TfZDpvi1SATfuE5UBt7TabjQbu23RAwOjnh63Tt+GoSeTVenjK9VPg30bnSdNVz1/EgQxR+6cuHlJH2rY7V5f8OGMhvrbFd0p3Ut2neo1DQvf2GO3ba4TVKme1fVuV23Qf72noe6aO5fnBhry3ay6NxxM9GGY3S9qxfF+y6535ZGvSB9/X8jrum3ZUCuOtxZc1flKEMYf2n0ybuyTPmm3q9T/XhC8P3VOpt04YatZ93wl75RSdc1WoW+98rL0mQuqgg9n7cMIrZtazb5/xT4MMDOv13v/uF3HmbkD0id9dr9M2prY86RxTZe/9+x5055+eEX6bOzW47batsctC6rpDxcWTHtQ0QdWKmN7btUHwUM8QYX7zsieX7WmVg5vuweC8mkQqg/ur/2pXV4WPHxVccHrLNfrfbJo12n1yS9In5Wzek4ePfuBabcuazi9e6cNow9b+sDCQvBGkbM37cMf7777rvT5zBOPmbZ/U0dK+vaM9XV9GObYsWMy7d677rYTgrGDn5Rl0fcWwXcAAIAfGwyyAAAASsAgCwAAoAQ7zmRFeSOfJRoGhQcPHLDF8fKgWNv587agWHdLCyi2Z+dl2tC9OTwqIKlZLv0/6zQPclKuX1Qw1OeE8lx37zTKSTlRgVQvD/b/aGq3f5IFBQwLKJKtivpE03yWqcjn8mD/ZxOXRwjmU683ZZrPWxURZfKC3Z3yij0H2ouHpc/VFZsb6F3RAo7NeZs1GQaZgcGWXkuVDZtRmEm6/dkhmyVq3dQNGY41A1Zz2cWqrwSYUvK1CAe7NEdRGdl9tPuZt6VPWg6u5XttjiIPigM23XVSz/R6HwXr3R/a7NS0pfmfuWT3ybpGyVL9PZtjmbyvWZf6z/6sTFtx59fqQPNuB195za7PEc2adO44LtNa7kTt7JuTPsOu3ZjqVnD8n33B9nngqPSZ7NV5t3wG6pDmxjaO2Gu3sromfWav3pBp8xdsdm/yod4npw2bydoMvidGh2yWrL+g5+2kqfOuNu15Uu0G34Fu/w+CfGcW3N+q7vulEZzLuSuQOgqKmg5clqs11hO3eUQzgKvH7bTuy5oBvO3V9027cofeJ1cP3CbTXn3dnsvH79Lzdnl52bQvXLggfYYug/now49In6NHj8o0X6R6MtZ7QrXqxiHBMdopfskCAAAoAYMsAACAEjDIAgAAKAGDLAAAgBJk06jKYgH9rhbe82HwaVBos922xdKioqIra7Z42WuvvSF9Tp58S6ZNXTh6dlaDmZWGDRRWgwKOUWDeh9qj4HXFhRejhwOmrvBkXtXlR8VI/WGKDtvIhR6j5RcxCR4GyAqcJtE+kQKpBYLv4VpP7D6JjlE0b79Pov3mw/Hdrj5o0evp+V7J7bRmc1H6XD1jw9H1k69In+qug6Z98cQh6TPe0L2y6y0bTt6z66j0af7SU6addzTkPO4HwecZGxiuTvScHNRtoLQ/DMLpr9mge7caFBF+5CGZ1nFB996GBqGbNRv0311fkD6bFS1Q2sjtudMPih2vupBx+41XpM+se4il99g90mfc0wcv+hN7nzzwot7f1g/bhyFGR3Xe3Wu6T+6YXzTtxkgfLKq17DHodnUf9U4+Z9rzD90nfQazizItdex50sh0+WnW7v9uXqzYdH1qPzfZ0MB8dc3ukzwohlrr23Uc1LSo6Nau3TItO2gfIhnO6PnWSa4gddLrphLc37Oxv751+2vuoYJ6sG+3BvZBm1pQ+HSY9DunkttrKZ8Jzpt1t2/feV/6nP9QCwu/O2sfGLjr7rulT69n70EHDulDRI898bhpt1v6wEL03emD75Vct02+Twi+AwAA/HhjkAUAAFACBlkAAAAl2HEmq7O5fW6lVg2KvE3t/0yjFzHWGnbs12xqkcVLly7JtOeff3HbPs2WzWnNzs5KnyzISfnCqlHB0GbN/l832rX+f8ZFCnhGopdf+/xR+ILogOS9gv/jh9U4nZ1uizcOPlN3mbjBQHNE0TGpVPJt+/jcWLTO0efGLlvTf/o16TM9/aadz5LmOM7ea/Mu2YzmCibruk4HX7S5mcrP/wXpM3/Y5Uh6q9JnFOS0Zpu2OOBQL8FUzW2hw+wlfalsfdHmH/rH7pc+W0HBxkZm920W5EgaVZt3Gg61qGczeEGvrzW7NtD9Pbtmlz934R3ps/El+1Lb4VR3Uj7RvNGuV+w5sTGnRYsHJ2xuJatpJnCwqYUm5zJ7f5sEl3L7is3WtM9rtmbp3kdMu7ukBVu3guvd7+8s6fYPGttnV9vj6CW+dv8Gkd80cS9NjgoyV0f2fK+u6XkzdAWxU0qpvmX39zDYt71F+30y3qcv0a7uWpZpI5cLGwRFdH2+Kw+KauZd16em2dVGUOt6a2K/zwdBodWRy8RdX78sfVZee1GmHbj3YdM+elSLkR49Yaft2aP7bThyBZmD77fJVM83n6dOwT2h4vvcukgWv2QBAACUgUEWAABACRhkAQAAlIBBFgAAQAn+fwTftYCdD4ePJ1EQ2YUep0PpM3Xh+FpQMHRuLni7vAtDv/FGUMT0zVOmHQWo20EYfmbGTusO+tLHBzhrtaAQ33j74pzRIXF1VguF6qM+QZ5Sg987DL5HBQRvVfDdLz9aVrS/9YEF/Zx/0EGCkik+TuOqO08ri9Jn4/xLpn3mvD4w0pizoeJxEMTu3bgq0x69YoO4N3/hZ6TPbne99Zp63lb1EkzZ1D60Mgw6NV+zAe5uR4PY2WMP2vkM9NjOVjScm9fccZrR4HXmih/Xg6Kifa0zmXpju0/qq7pOrbdetuvzxGekT7dh7wmT4GGU/quvyrS97iIcPviI9JmO3D3PFZlMKaVe0mMyrtkHK8YtXafl79gituPb9V6aHTjhpgT3yei+7ApEjoJ0eObC6bVqUES4p98v46adV1jsebr9Pdg/NJTnwcMwQz2X6nUbvK929FrOr9pC2tUbWjDVf7+llNLIFezsz81Lny23bzeD9V7r23Oi1tR9FP2ysqfqzpuKHpOlQ3tN+7aFvdKnEhQAr2s9Xv2cuweMhtG4wB63Wl23vxPcg3o9O23X4h7pkwXfC7cKv2QBAACUgEEWAABACRhkAQAAlEDDJwVFGZV6xc5uVNU8wHBo/7cfv+jXzif63/vAVxRMKdXd/98f/YzmKA7sty/ffemHL0ufCxe0iKl/+XWzqYVW84rPDOg6jlxupFrV7Z8ExRl93CPKOvlpYd4rKLI2dZXXsqgSm5tXNO+d8vOK5lx1hSf9Sz9T0mKsKenLpn1mI6WU0tBOi863VkuDBQ33otlxWzMC87uPmfau0Yr0Wb1+1rS7Yz23DmxsyLT1PbaoYbsVZEvWbbalHxTryzM9B9dHtkDjzAXNhGVdey03Hn9E+ozrNqPRamtRzbwbFRW013Ktr1mLqXuJ62ZVj1EWvPx44s6d/lua3azcbY9bIyggWXMFmUdntThja6DHbeuzn7PLCjKQ1YZ70XBPM2nDXLet2bT7sn72pvSp7bPb0r1TXz5dr9l9O97Q660fVDrNRy5zG2T5RiO732ZGetzqk+glvnbaeKg5Mf8i+3oWVN50udhxcL3nLS0sW3H3gM2gQPG6K/55ra3X8o1z52Xa9E1byHd+QzN4i3PuBdG7dR3bR+3L1o8d1+K/y/v1BfRzCzYDVovyvA33/R58B1R7QRHTAsWehwN7LkdZOp+VXV9flT6vvKLf50888YRpZwWyw7fy+41fsgAAAErAIAsAAKAEDLIAAABKwCALAACgBLe0GGnm3oo9zDX0mLmlVSpRwM0G/IqEvFPSAGkUYG7U3bgyKEL25ptvy7SXXn7FtH2Ry5RSas1qOFXW0YUlp0ESPVpvLzpofp9UgoBfFOiT5QXr5AOlRRXZFl9YNPpE5qqxVoIChuHy/XyCPyt8oHIwCMLZwb6cH9vzdGtBz4n61IZlayM930+54HV3U4sc3nFKi1qu/8zP2Xnv0UKAMwO7jo2xhnW3xhogXp/YfXDw9fekz+jx46bdz5ekT6Vi7xONsVYHrQQh486GfUCg0dT9tuYC1NlYn+PZPXNQpk3ee8W0565e13l/9XE774nu25ur9gGZ/f/xe9Kn++eekml51nZt3f+VWbufsp4WsBz39CGG8Zx9QGf+BT1ugwfvtcuf0wcf0sQuv9HQ/T8dBwUj3Wq223pPHIzs5yaZXvG+aHVKKc3721RUtNk9bOSXlVJKfRd83+oH4fyxLn9tzT7EMFzXQqN1Fw5fWlyUPgf27pNpC/ttYc+ZZb2WZtr2HGxEof5kt38aPNvmH75KKaWKK2Tti1+nlFLX7dtsqvfEiv+CTynlya5no7F9ddJxUAz29OnTpn3qXf2e/vznn5BpS7Iv9Vz231PR/X6n+CULAACgBAyyAAAASsAgCwAAoAQMsgAAAEqw4+D7qNeXaT4MPsmDAHWByuFF+oRh+Gz7Pj4cH1auD6rQr6zYIO7zzz8vfS5cuGDarZaGfP28x0HVZB+OT0mrW4+D0Ol4un14L0s677ELPUah8vHIVcSVHsWq5EZB+IqbW7Wq6z0OQpZFll9knaapwH6LHhhwldInw03pM+8r1df1nFhdtwHqLAhQN4LPtX/ZBt/HwRvor63YaYvBfMYzeky6758z7aWuhvF7Dzxs2lsDXX7et6HuWj84t2+flWntqzb4ujXS5Y8q7u0JSeczXAgeWHjOXrujhz8vfWZmbKXuzb7e7yYnv2/nu/s26dM9fpdMa+f2eutrpj1lXXsujWY1wFypaBh/9wf2HjRZ1HmvLNv1XM40iFx1bw/wD4ekVOzaqlc1ZOyvr43gbQY3b2ql+o47v7e29JxI7v4Shax9qD663pd27ZZp+/fvt+2DWjm96c6bWvBdEt08Cz3s5L7Pojdc+O+Aah6F47dffnS8/bRoncPAuHsa4vp1fdDku9/9rmlfuqRvXXn8cfswyqOPfFb6VIL1Tn4cEIxLysQvWQAAACVgkAUAAFACBlkAAAAl2HEmazKI3q7uCqEVyFIFdS8LKZIHKJTHKVjoNMpXeb5Y2muvvSZ9VldXTbs9uyh9okxWVBxuO9H/7KP/oxf5X7tX9LTxx6BI3ik6bj63FfW5lQXkvGh5DVdDcn1O99vUFdVrjLTwZn/G9pn53W9Ln43PHJVp+e13mnY7il+44qPRse0kLYbZeNrmjTYfuEP61JZskb/ZieZffO3V9euatanP6j6p5XbaONdM1IzLF65mOp+F10/KtErV7u/N+x6QPs2a3ZbOjcvSZ/cr75h2/z/5gvSp9XSdBt11067PaMHOydhub2VG82b9Fd2XS1ftvEcPHZM+rYnNCY2C+02r6bKjYw2O5UG4yN8XorzV+rpdx+jaioqY7ttni3jOzuo+WVhYsH1cRiqllCo1t73R90R0fxu5gp3B9vurK7reRpMghOdE3wF+P0X3YN+nVguKyAaf8/fOqM+1a9dMe21Ni7EO+3oveeOk/R48f/689Dl40BYNfuqpp6TP/v02AzcJzslI7vflRxvJ4pcsAACAMjDIAgAAKAGDLAAAgBIwyAIAAChBULmrmCwI5vmZRfFpCb4XCJ6HIesCob8wvChFPTU8F4UF+64YYfS548ePm/aRI0ekjw/Hn/tQi65tdbWooy8+Gofj7Zg52o4sGFePXRHZrK595BgETyxEwXP/uSgI6lY7nI8Pvhe3fYi/iCgb23UB6lqwTyojO62S9JycVGzIuP/QcemTL2txxPrAngPjGZ33qGeLWo6DS767qqHuVmbP75mlfdJnmOz2R9dEtW7PwYW9C9Jn47oGaOcXbKHN/ryeE+s3uqbdmOqxHp89I9NGT9oihvXgPiEPmlw4J32yo4ftOm7ow0D9pPtkeW7RtIcT/VzFFbHtjfUhlsa5CzJteuyoaddqu6RP6tj9PRhpWNmfp9G9JJrmiy37sHpKGk5vNvXhgJ0+IOPvL9E5OR3YfemLk/4oE3d+VSq6/X750X06KnZdpECm3DsnQYC96u4JwfafOnVKpr3wwgumffXqVenjQ+1zc1oMd3FxUaYdv8M+fPHnfv7npc/8/Lxd1lCvCb///bb+KH6/5f4Lp2T8kgUAAFACBlkAAAAlYJAFAABQgh0XI43+H6xZqp3laHaS2yr8uWz7lwGH/8d38wpf4uz6hAUsgxeWetH/w99++23TvnDpovTJM5u38S+5TSmlPN/+Ra/RftP8hW7bYKDZjlGBjIL/F3m0/4sUIy1SfLaIKDcW7ZNJxU6rBvkbfw1kVS1qm7uCpf1cM3mjta5MS61F02xUdfmTrp13rxnkQV76gUyaOWhfIjwb5AvXtnp23sH2t93BHftCkCml3oq+WLvtzrdBcNlsuLzb/Irut+zyOzJt+tgXTTsP8h+ZC2XV3nhB+vTvsy/IrgcvWs7bUaFLV/x3qNdNq22v3f6m5tYWz2qWbuORe+06ben+buyy67Q4syh95lxuKsrfRMVAixS1zIsUiY6uQfe5ItdpdH8vUrQ4K/C1GN2nxgW+A6LlT1wGbjLa/jsomk+nZ1+a/fTTT0uf9aCIqP+uuOMOLT587JjNVs0vaL4y4vdTkbzdTn//KVKg9aPGL1kAAAAlYJAFAABQAgZZAAAAJWCQBQAAUIIdFyONiqe5THnKChRYi/miotojyiX6IGQcfLfzLhKCjOYdhhddnyiY6YuaVoLF7927LNOWlr5g2hcuaCHC999/37TX1jZ0HTMN+Y5Gdj0bdQ1n90c25JwFKx4VJ2wGQXdv7A5wVKyvSDg/2t/RNM8fy+iMiJY3dvstKtA6ch+L6h5mLgw+39PLcmVGQ9WV3J1v4770md/l3ly/oUU1d2W6v1cOHjTtTlCwcurCubVGcNwqbh2HugNaQTHKScM9MLGpn6s17JEarmkQfLRLA9t1F2qf5nqOrF+9ZtrHgvUezLpw+kDPkXYU/HbXRFYNtj+3fao3bkif6cEDMm2+bos67j+g4eSlffb+MlNr6zq6QxmHzIMHLabb34PHk+3D4dEDMr6ucLWq10mR4scSII+WFa23D3AHy68UCfVHXdx6ZrUgMJ+2/+4aje11+qUvflH67N6thY3loa0C34vhA0rBvtRp2887LFpdoBjtxx1yj/BLFgAAQAkYZAEAAJSAQRYAAEAJdp7JivgM1s7KnAaiAmPaS1/0GXTKt88IFSk0GinyclLfp98Psi7RstwGHzp0SLr4F1L7/FdKKa2saCG67pYt4njpihZDXXMF7DY3tYBkLzgoPjcR/h/d/f8/fLG1exlo+BLpIPBUrQbFN7dR5LillFJq2vWsD4PCj0M7r2g2XfdC7vpIL8s8yL/Mun3Zq+m2djv2OFVeOyl9pkfvkml9l7mrj4MCgm1b6LSlcb/UmbiXaGeaPxoEL/H2Wb5pOyj0ObXn7eLGlvS5uXxYpk06rmjprJ43B2tueXv2Sp/kXtq8a3mPdKkO9Br0BYk3O1podjSwO3Nxt77o+cAjn9Fpy/a+MG3o8rOBO5ZBgdjBwK5TsazNzoQ5miLTonuJFC0usLwoxhPO2xVaDQpyy7yj7HKwuB3ty+BrYqZlC8Q2G1qQOqXtC0JH/H0xekF2EaORvuxccrEFs9JFFMlTl4lfsgAAAErAIAsAAKAEDLIAAABKwCALAACgBLc2+O4VqAtWJFBeZD4ppZT5WQXhRR/eK1q8rEihUx/YjsKMEsKra6B3ONQE8aRAkb3BwAYKo+Xv37tPpvn9dOzEUV2+W1wUfF9dXZVpPnwfhR63Nuy81tZXpE+3Z4O4YZHDILCuYU3dJ774aVQMtVYNis/6/GyUXZVEqa53y1Usnc5occj6qu630YxdgWZTC092zr5t2jXdRWl4+DZd3tCGw+czLVDbbbpw+qau42xQ6FKMZmVSxQW/t6o679qWDbrnU70m5vdo8N09Q5EazSCcvHrRrs8j90qffXU7o61+T/rUBkGB2prdtoN7NTC/tMdOW5zVoqqjIMBbrbn7lD9JU0oT94BEVECz4gPTYWFnmVTofuqv3egbwAfY/3Te285a3MqQs8yrwKwLfb/tUDRv/x2Y+5P9RygSDr9V+zIqIltEkX0ZnX8fddBdlv+xLh0AAOBTikEWAABACRhkAQAAlIBBFgAAQAmy6S1M5u1kRrfyndm3alOKhDejkLUPdUfzkVB1UAE8rkC87SqJoEh4uN4SRM00ZCyrE1V3D0LlRd7mHoVqvfHYhoWj4H9U4X7LhaM3gqrgPsTvP5NSSr2ehpq7m7bftKEPMfhQsTyckVJqt22oeRC8lSDr6raNcvegw1CrO8+efta0e8fulj7T2WWZNu7YNxFMc30Yw59fk5qeN9WeexhkLrhuBloFfq49b9rdgT4MUT/7oZ0QBNjzQw/LtH6yby9YeeaH0mfpuN0njb13SJ/hgt2WvXV98GBpWd/M0HQV5tsVfTig33APugz1YYy8qtdAbbpu+wQPFUyb7i0MwTk5dXfzog8IFVHkLu2Xn1JK+S39tiiHv5dG+y0O+v9/zyey0++pItXld/q5SbB107E9T8tcfvgwwC08d3eCX7IAAABKwCALAACgBAyyAAAASnBLM1k/6YrsSt9nNNCsS8T/XzkqsFakT6GKfkEXv2mT4A30Oz2V/P/sw/nk22cdihSiK1KYrkhR05RSGnR83mtD+ty8edO019fXpY/PgEUFW6PPnTlzxrRbN3T5B1xh2aVjWpyzO9HltVo2J9Tb6kifvGpzQllNMxNSv7Gr5/twQTNZ/RWXwXrtA+kzs2hzW/WHTkifrKY5uem6zeDVmtrn8JGjpr2wa0n6+EKPzaZuR5R3koLIwfmuhS8LFof018CPf4wJ+FTjlywAAIASMMgCAAAoAYMsAACAEjDIAgAAKAHB9xIVKigXJFOnQaFNX3wzCmLLvAu+kdxPyyrbj713etbsNIfrixNG+zaaVmQ/eUWL18kb76N9W6CA3nBgC39Gwfeo0Orq6qppzwWrnbdtGDtr1KRPf6DLW3DB96ErThqtZ3+kofZB3e6T2qbOZ9KoyrSU2fO9udGVLo0FW2gzW94lfWq6uFSfsftgPAwKHzZc8c+pHtv+wB6TMIhe4AGRqMiiPweLPuhB8B348cIvWQAAACVgkAUAAFACBlkAAAAlIJP1CeEPU/SC5O0+86P4bEc070LLD/InOxG+VDWzfw9Uq5rjqVZvzd8MRbY/Jc3SRFkqL8qI+eVFGZ1oe30GaDIOXuKcu2Ob6bzHwXo3c7e8ILck+Z8gyzetuGxRkJFK02B/u8UHq538WkcFcusaZUupbvv1h7pSWXLHdrJ9tq9W07xbHlQjleMb5L10haL81fYfA/Dx4pcsAACAEjDIAgAAKAGDLAAAgBIwyAIAACgBwfePWRSyLlx4cAeKFPEMiyoWmc94+yKqOz3dxuPtCzgWWe/JREPeRR4iiPiirdG21eu2qGWR4xjNp9fryTS/vbWKhuMnvohr8HdVpVARzWAf+VB9rttWcYH5LFjH6JSYJPu5SUU7+QcNsuC5g3q1IdPG7gEBv49SKnYu+XMw+khUWDiTjvytC3xacXUDAACUgEEWAABACRhkAQAAlIBBFgAAQAkIvkNEp8ROA9s+QF3kdAuD/0XC+FERehc8joLvhZYfTBsMBtv28cH3SB6E+L1CAepbeCWPRi54nrTi+djt8EFQFX3Gbds0120Nz4mR294s2H5Znp4jk6BSfq2y/cMIWbb9eavh+GJvCtDl8bcu8GnF1Q0AAFACBlkAAAAlYJAFAABQAjJZn1A7zTbtdN5lFkOVeUcRHVfoNFqfPCiG6We202xZmMnJChQ/Hdvc0HA4lD5FjmWRTNAkWB1foLSaFysGOurbvFmUifLVN6MCnoPMziefap9q0nWS2qN5sJKV7bNN03RrCvvG5+32ua3pdPvl/zhepwBuDX7JAgAAKAGDLAAAgBIwyAIAACgBgywAAIASEHz/mBXd/R9loDVao09qnLbMBwRkRwXL8sVQCxU6Lbg+vkDpKCiG6YvBhssPdpEPsYf7qMADC5PcBv/z6faFVwuTMH4QfB9vH9gvtruD+eiMi8wIwE8Q7goAAAAlYJAFAABQAgZZAAAAJSCT9Sm240N7C/Nfn9QsVxF+/0a5JZ/Jigp2+vkUexlxtPwCxzsoBjqNwlRuW8I+Th4dbXmxtS5/HPyp51/9vP1rtlMaBetY3ekZ6LJsUTFUPU7BhgTnhP9YWEMXwKcCv2QBAACUgEEWAABACRhkAQAAlIBBFgAAQAkIvgMAAJSAX7IAAABKwCALAACgBAyyAAAASsAgCwAAoAQMsgAAAErAIAsAAKAEDLIAAABKwCALAACgBAyyAAAASsAgCwAAoAQMsgAAAErAIAsAAKAEDLIAAABKwCALAACgBAyyAAAASsAgCwAAoAQMsgAAAErAIAsAAKAEDLIAAABKwCALAACgBAyyAAAASsAgCwAAoAT/L8OKI3YEmwBUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 231,
       "width": 300
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Step 7\n",
    "# This block is for computing comparisons\n",
    "input_shoe_path = \"./sneakers/ECCO/7703767.4769.jpg\" # Change for shoe pathway\n",
    "input_shoe = input_image_preprocesser(input_shoe_path, pca)\n",
    "scaled_input = StandardScaler().fit_transform(input_shoe)\n",
    "print(scaled_input.shape)\n",
    "distances = euclidean_distances(input_shoe, pca_cluster_means)\n",
    "print(distances.shape)\n",
    "print(distances)\n",
    "print(np.sort(distances))\n",
    "print(np.min(distances))\n",
    "print(np.argmin(distances))\n",
    "print(image_collection.shape)\n",
    "print(image_collection[clust==(np.argmin(distances)+1)].shape)\n",
    "print((image_collection[clust==(np.argmin(distances)+1)])[0].reshape((95, 125, 3)).shape)\n",
    "plt.imshow((image_collection[clust==(np.argmin(distances)+1)])[4].reshape((95, 125, 3)).astype(int))\n",
    "plt.axis('off')  # Turn off axis\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "6e73b66f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n",
      "[ True  True  True ... False  True False]\n",
      "[[255. 255. 255. ... 255. 255. 255.]\n",
      " [255. 255. 255. ... 255. 255. 255.]\n",
      " [255. 255. 255. ... 255. 255. 255.]\n",
      " ...\n",
      " [255. 255. 255. ... 255. 255. 255.]\n",
      " [255. 255. 255. ... 255. 255. 255.]\n",
      " [255. 255. 255. ... 255. 255. 255.]]\n",
      "(2057, 35625)\n",
      "(95, 125, 3)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 104,
       "width": 349
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Step 8\n",
    "print(clust[lowest_idx])\n",
    "print(clust == clust[lowest_idx])\n",
    "clust_idx = clust == clust[lowest_idx]\n",
    "print(image_collection[clust_idx])\n",
    "print(image_collection.shape)\n",
    "print((95, 125, 3))\n",
    "max_images_to_rec = 3\n",
    "for i, index in enumerate(clust_idx):\n",
    "    if index:\n",
    "        image_to_show = image_collection[i].reshape((95, 125, 3))\n",
    "        plt.subplot(1, 3, 4-max_images_to_rec)  # 1 row, 3 columns, index 1\n",
    "        plt.imshow(image_to_show)\n",
    "        plt.title(f'Image {4-max_images_to_rec}')\n",
    "        plt.axis('off')\n",
    "        max_images_to_rec -= 1\n",
    "        if not max_images_to_rec:\n",
    "            break\n",
    "\n",
    "            \n",
    "            \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "227595bd",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "feb8f1ad",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "35bada3f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3876198d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}