latest

2 files changed, 343 insertions, 117 deletions

diff --git a/src/notebooks/01-look-at-emnist.ipynb b/src/notebooks/01-look-at-emnist.ipynb
index 403d4a7..870679b 100644
--- a/src/notebooks/01-look-at-emnist.ipynb
+++ b/src/notebooks/01-look-at-emnist.ipynb
@@ -2,18 +2,9 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The autoreload extension is already loaded. To reload it, use:\n",
-      "  %reload_ext autoreload\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "%load_ext autoreload\n",
     "%autoreload 2\n",
@@ -21,8 +12,8 @@
     "%matplotlib inline\n",
     "import matplotlib.pyplot as plt\n",
     "import numpy as np\n",
+    "from PIL import Image\n",
     "from importlib.util import find_spec\n",
-    "from torchvision.transforms import ToTensor\n",
     "if find_spec(\"text_recognizer\") is None:\n",
     "    import sys\n",
     "    sys.path.append('..')"
@@ -30,226 +21,181 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
-    " from text_recognizer.datasets.emnist_dataset import fetch_dataloader"
+    "from text_recognizer.datasets.emnist_dataset import fetch_data_loader, fetch_emnist_dataset, load_emnist_mapping"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 63,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
-    "from torchvision.datasets import EMNIST"
+    "dataset = fetch_emnist_dataset(\"byclass\", True, True)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
-    "data_dir = \"/home/akternurra/Documents/projects/quest-for-general-artifical-intelligence/projects/text-recognizer/data\""
+    "dl = fetch_data_loader(\"byclass\", True, True, shuffle=True, batch_size=9)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 106,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [],
    "source": [
-    "dl = fetch_dataloader(root=data_dir, train=True, split=\"byclass\", download=False, batch_size=1, transform=ToTensor())"
+    "classes = load_emnist_mapping()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 123,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [],
    "source": [
-    "dataset = EMNIST(\n",
-    "        root=data_dir,\n",
-    "        split=\"byclass\",\n",
-    "        train=True,\n",
-    "        download=False,\n",
-    "        transform=ToTensor())"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 119,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "697932"
-      ]
-     },
-     "execution_count": 119,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "len(dataset)"
+    "def display_dl_images(dl, batch_size, classes):\n",
+    "    fig = plt.figure(figsize=(9, 9))\n",
+    "    batch = next(iter(dl))\n",
+    "    for i in range(batch_size):\n",
+    "        x, y = batch[0][i], batch[1][i]\n",
+    "        ax = fig.add_subplot(3, 3, i + 1)\n",
+    "        x = x.squeeze(0).numpy()\n",
+    "        ax.imshow(x, cmap='gray')\n",
+    "        ax.set_xticks([])\n",
+    "        ax.set_yticks([])\n",
+    "        ax.set_title(classes[int(y)])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
-    "data = next(iter(dl))"
+    "def display_images(dataset, classes, shift=0):\n",
+    "    fig = plt.figure(figsize=(9, 9))\n",
+    "    for i in range(9):\n",
+    "        x, y = dataset[i + shift]\n",
+    "        ax = fig.add_subplot(3, 3, i + 1)\n",
+    "        x = x.squeeze(0).numpy()\n",
+    "        ax.imshow(x, cmap='gray')\n",
+    "        ax.set_xticks([])\n",
+    "        ax.set_yticks([])\n",
+    "        ax.set_title(classes[int(y)])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
-    "emnist_essentials = {\"mapping\": [[0, \"0\"], [1, \"1\"], [2, \"2\"], [3, \"3\"], [4, \"4\"], [5, \"5\"], [6, \"6\"], [7, \"7\"], [8, \"8\"], [9, \"9\"], [10, \"A\"], [11, \"B\"], [12, \"C\"], [13, \"D\"], [14, \"E\"], [15, \"F\"], [16, \"G\"], [17, \"H\"], [18, \"I\"], [19, \"J\"], [20, \"K\"], [21, \"L\"], [22, \"M\"], [23, \"N\"], [24, \"O\"], [25, \"P\"], [26, \"Q\"], [27, \"R\"], [28, \"S\"], [29, \"T\"], [30, \"U\"], [31, \"V\"], [32, \"W\"], [33, \"X\"], [34, \"Y\"], [35, \"Z\"], [36, \"a\"], [37, \"b\"], [38, \"c\"], [39, \"d\"], [40, \"e\"], [41, \"f\"], [42, \"g\"], [43, \"h\"], [44, \"i\"], [45, \"j\"], [46, \"k\"], [47, \"l\"], [48, \"m\"], [49, \"n\"], [50, \"o\"], [51, \"p\"], [52, \"q\"], [53, \"r\"], [54, \"s\"], [55, \"t\"], [56, \"u\"], [57, \"v\"], [58, \"w\"], [59, \"x\"], [60, \"y\"], [61, \"z\"]], \"input_shape\": [28, 28]}\n"
+    "classes = load_emnist_mapping()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 56,
    "metadata": {},
    "outputs": [
     {
      "data": {
+      "image/png": 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AAMCGAAAAGBsCAABgVVQqVMLOJlcFOzWa9MyZMwm/pkSrU6eOy3Jzc13WqlUrl02ePFn+zKFDh7osKyvLZWoksSoQzps3z2VqVHRtd+XKFZetX79ePragoMBlQ4YMcZk6X16VbVXh6MMPP3TZ0aNH5fWkWvFTvfdVpsY4Rx2Lq0qwp06dko9lvUdz9epVl6m1FXW9qc/HVKNGM5uZ3XfffS5ThXi1tt555x2XnTt3rhJXV/X4hgAAALAhAAAAbAgAAICxIQAAAFaNpUJVUDHThZSmTZu6rHfv3i775ptvXHbx4sVIrxFGFZsaNGjgMlXsUwWx8ePHu6xz584uu/766+X1qIl5CxYscNmSJUtcpiYQUqiqvLCS2s6dO1128OBBl3Xs2NFlaqrn8OHDXaYKhOpvbqYLdqokGbXkpZ4btShopt/PjRs3dpn6Xdx6660uU+89VcTcvXu3vJ50KCingg0bNrhs3759LlPrWq2F7t27uyzsb6TWXHXo0qWLzFXpW71/ysvLXaY+w1MV3xAAAAA2BAAAgA0BAAAwNgQAAMCqqFSoimunT5+Wj1UlwEaNGrls4MCBLtuyZUuk16lIQSU7O9tlLVq0cJmaNqjKYH379nWZKinu3btXXo8qjqkjYTdv3uyysCOMUTnHjx+XufobPf/88y6bNm2ay9Q6UhMNCwsLXfbWW2/J61Hvi+LiYpfdcccd8vnX+vTTT12mprSpcpmZLgR369bNZWpKnHo/NmzY0GX/8i//4rJly5bJ60nVKXGpRv3+1Jp77rnnXKZKhQ8++KDLwqZ/7tmzJ8olxkV9rt97773ysapsqP5dWbp0qctUwThV8Q0BAABgQwAAANgQAAAAY0MAAADMLKjIFL8gCCI9WJWD1MQ+M7NRo0a57O6773aZmnSojvxVRydXhJpUWK9evUiZKpmoaYpbt2512YwZM+T1qCl4qiwYNgkyxXwRi8VuT+YFRF3D8VLFUXUk8u23+1/Hd7/7XZepY7RVIddMT+JTE9SaN28un38tNSVRTQtUBUAzs4yMDJepz52TJ0+6TJWEVan2hRdecJkqUiZArVnDiiqObty40WVqfajPR3Ucu5nZ9OnTXaY+NxVVeC0qKnLZpEmTXNa/f3/5M9VUwl/84hcue/bZZ11WReswHqFrmG8IAAAAGwIAAMCGAAAAGBsCAABgVVQqVPLy8mSujsQcNmyYy+68806XqfJIWLHpWqqQaKaLWqqk9cknn7hszZo1LlOFG3WMbtgUvIr8fdJArS5kqcJqs2bNXKYKuKrsFDZpUE36VMU+VcBVhVU12U+9J8KKraoMpiZrbtq0yWUlJSUuU1M91funit47tXoNq8L4v//7v7vs29/+dqTnhk1T3bFjh8s++OCDKJcoJ32qfytUUTeslL59+3aXqf9GNWExBT/DKRUCAIBwbAgAAAAbAgAAwIYAAABYNZYKw6hjMlX5RB0Tq6ZPtW/fPtLrqmlnZmZlZWUuU8c5Hz582GVpPEGwutTqQpaiyn5t2rRxmZpoeN9998mf2aFDB5fl5OS4TBUD1VRCVcBVZT/1PjHTxzGrouGJEyciXWOS32es4Wuowvjjjz/usqlTp7pMTTSMl1qHqiw4f/58l4UdKa6OOD979mwlri4lUCoEAADh2BAAAAA2BAAAgA0BAAAwNgQAAMBS4C6DqNTY16ZNm7osamtV3SVgFj668lphjWr8TjS0K0mdx67GHpvp94B6/6g1HHV0cXl5ucvCPkvUHQBpfPcNaziCzMxMl02ZMsVlI0aMkM9Xd8Uoah3NmzfPZfv373fZ22+/7bKwEfJXrlyJdD1pgrsMAABAODYEAACADQEAAGBDAAAALI1KhagRKGQh3bGGE0iVXeNF4fv3olQIAADCsSEAAABsCAAAABsCAABgZolvdAAAEAEFwNTCNwQAAIANAQAAYEMAAACMDQEAALCKlwqPmVlJVVwIaoWCZF+AsYYRH9Yw0l3oGq7Q6GIAAFAz8X8ZAAAANgQAAIANAQAAMDYEAADA2BAAAABjQwAAAIwNAQAAMDYEAADA2BAAAABjQwAAAIwNAQAAMDYEAADA2BAkRBAEzYIgmB0EQXkQBCVBEDyQ7GsCKoI1jHTHGo5fRY8/hvaamV00s3wz62Fm84Ig2BiLxbYm97KAyFjDSHes4Thx/HGcgiDIMrMTZlYYi8V2/jp708z2x2KxqUm9OCAC1jDSHWs4Mfi/DOJ3o5ld/s0i/LWNZtYtSdcDVBRrGOmONZwAbAjil21mp67JysysURKuBagM1jDSHWs4AdgQxO+MmeVck+WY2ekkXAtQGaxhpDvWcAKwIYjfTjOrGwRB59/KisyMIgvSBWsY6Y41nACUChMgCIJ3zSxmZn9q/9tunW9mfWi3Il2whpHuWMPx4xuCxHjSzBqa2REze8fMnmARIs2whpHuWMNx4hsCAADANwQAAIANAQAAMDYEAADA2BAAAABjQwAAAKyCpx0GQcAtCYjHsVgs1jyZF8AaRpxYw0h3oWuYbwhQnUqSfQFAnFjDSHeha5gNAQAAYEMAAADYEAAAAGNDAAAAjA0BAAAwNgQAAMDYEAAAAGNDAAAArIKTCgHUbHXrJv4j4fLlywn/mQASj28IAAAAGwIAAMCGAAAAGBsCAABglAqBWiEzM9NlLVu2dNmoUaNclp2dHek1zpw5I/Nly5a57NChQy47fvy4y65cuRLptYHfpX79+i5r1KiRy5o0aSKfX1ZW5rLTp0+77Pz585W4utTBNwQAAIANAQAAYEMAAACMDQEAADA2BAAAwLjLIGVcd53em4Xl17p69WqkDDVHEAQyr1evnss6d+7ssh49erjsO9/5jstUG1sJu8sgJyfHZVu2bHHZqlWrXKba3RcvXnRZLBaLcomoBdT7olWrVi7r3r27y4qKiuTP3Lp1q8u++uorl+3YscNl6bRe+YYAAACwIQAAAGwIAACAsSEAAABGqTApGjZs6LJBgwbJx6rilyrNbN682WWq9LJr1y6XXbhwwWUUElOL+pt37NhRPvYP//APXfbDH/7QZapo1bx580ivXRHdunVz2alTp1y2YMECly1evNhla9eudVlxcXHlLg5pTX2Wtm7d2mXTp093Wc+ePV1WUFAgX+fEiRMuO3jwoMtmzJjhsg0bNrhs+/btLkuF8iHfEAAAADYEAACADQEAADA2BAAAwCgVVrk6deq4rE2bNi4bM2aMfH7v3r0jvU5hYaHL1HStjz76yGV79+51mTqb3ix1J2zVJKrE16BBA5f16tVLPn/o0KEu69SpU6SfGW+BUFGvk5GR4bK+ffu6TK03NRFRrWGKsTWLWpuqQKjeFypTz1Xr0swsNzfXZVlZWS4bPXq0y9q3b++yn/3sZy5TJUVV+K5KfEMAAADYEAAAADYEAADA2BAAAACjVFhp9evXd1njxo1d1q9fP5c99NBDLhsyZEjk11HlGnW87fDhw102YcIEl3388ccue+aZZ+T1HDlyROZIHDUtTZVL1fQ1M12WUhPdolLFvtLSUpedP39ePj8vL89l6ohmVb5Sx3+rwqtaw2fPnpXXQzE29dWt6/9pUsU+9TmlyqkdOnRw2ZUrV1y2f/9+eT1qDWdmZrpMfeYOHDhQ/sxrzZkzx2WbNm2Sj62qNcw3BAAAgA0BAABgQwAAAIwNAQAAMEqFjirsqSNhhw0b5rIBAwa4TE2Na9KkicvKysrk9ahjMrt37+6ynJwcl6mpW+rI3OzsbJetWrVKXs97773nMnVsJ6JRkyyLiopcdtddd7lMlQfN9GTAeKi/77p161x26NAh+XxVqlJHL6v1qtb1jTfe6LL8/HyXhRXEqnv6G8Kp0rSZ/ty8/fbbXXbPPfe4rFmzZi5Ta1gdBT9t2jR5PX/yJ3/iMjX9UJUP1eerKnerUu2PfvQjeT1VVe7mGwIAAMCGAAAAsCEAAADGhgAAAFgtLhWGHfOqSndqGpYqFapJhadPn3bZzJkzXbZixQp5PaoYpYomJSUlLlP/jep4zrZt27psxIgR8noWLlzosqNHj8rH4v9SU/dUAerBBx90Wf/+/V0Wz/TBMOXl5S7bvXu3y5599lmXhZX4Jk2a5DK1Dm+55RaXqel0d955p8tGjRrlstmzZ8vrKS4uljmqn/rMNNNlwW9961uRnq/eZ6dOnXLZzp07XbZhwwZ5PTt27HBZ165dXaZKhYoqwfbo0cNlLVu2lM+nVAgAAKoMGwIAAMCGAAAAsCEAAABWA0uFatpZmzZtXBZW/njqqadcNnbsWJedO3fOZQcOHHDZsmXLXPbjH//YZWElETXJ7vvf/77LTpw44TI1sU4d2fnoo4+6LKzMkugpeLWJKnlmZWW5TE0sU4+ryOuo41JVdvDgQZepopVa62HTNrds2eIyNW2zsLDQZaogpo5OVtPg1BG6qB5Rj4cfOXKkfL7KVcFUrQ91DPeCBQtcpo4bDivGrly5MtL1qOmh6neh3s9qAmfY0cnbtm1z2eXLl+VjK4JvCAAAABsCAADAhgAAABgbAgAAYGwIAACA1cC7DJo2beoyNYZXNbnNzPr06eMy1VbeuHGjyzZv3uwydZeBuiPg6tWr8npUrs6dV41x1W6NepfA2bNnZZ6IJiv+P3VOu1ofly5divwz1Vq4cuWKy44fP+6yl156yWWrV692WUXGVe/duzdSpq5bUXdRqLY5qof6e7Rq1cplRUVFLhs+fLj8meqOBHXHlbqjQN0psHjxYpepz/Cwzzf12Z6Tk+OyP/qjP3JZ1DsP1L8z6u6ZqsS7CAAAsCEAAABsCAAAgLEhAAAAlkalQjVyV43XVWN4v/vd77pMnUNvpkt8K1ascNnLL7/ssk2bNrns2LFjkV6jIlRBTBV7VGFNXY8qc4X9flQZBqlPla/iGVMctcRqZnbzzTe7rGPHji5Ta1hRrx3vewrRqL+xKhD+9V//tct69uzpsg4dOsjXiTqS+P3333fZwoULXabGFKufF1ZsLSkpcZkq1t5+++0uGzVqlMtUqT0VyrJ8QwAAANgQAAAANgQAAMDYEAAAAEvRUmFeXp7LHn/8cZepAsegQYNcpgqJqlxnZvaLX/zCZR9++KHLVq1a5bJkTvFr1KiRy2666SaXdevWzWUnT5502bx58+TrnDp1qhJXV/uogpCaEqmmmN1www0uq8jEsgsXLrhMlapU+Wr79u2Rfp6aqtamTRt5PZMmTXKZKhqqApV6bTWJTpUh1bpGfJo0aeIyNYFQFQjV+lDTB83MysvLXaZKsGoNr1u3zmUVKRAq6rFRs3TCNwQAAIANAQAAYEMAAACMDQEAALAUKBU2bNjQZffcc4/Lvve977ksNzfXZaqkUlxc7LL/+I//kNfz05/+1GVVMW0w0dTUxm9961uRMnUM7nvvvSdfp7S0tBJXV/vUq1fPZfn5+S5TJU91rKoq3KmJlWZmZWVlLlu6dKnLfvWrX7lMTbdU1MS6sOmWKlfPV++p06dPu2zr1q2RMvVcaKrwqj5THnvsMZf16tXLZWoCoVrDR44ckdejPoc///xzly1atMhlqogab9lPlWjV76d///4uU+97RR1xXt0lbr4hAAAAbAgAAAAbAgAAYGwIAACAVWOpMGwi1V133eWyZ555xmUtWrSI9Dp79uxx2fTp0102e/Zs+fyzZ89Gep1kUoWskSNHuuz+++93mZo0poo9yZy6WBN06dLFZaNHj3bZmDFjXKbKsmryYVghS03RXLBggctUmVRRxV/13zJ06FD5fDWhTpW01HQ6VQheuXKly/bu3esy1nB0qiDXu3dvlw0fPtxl6u+rCoSqsLpr1y55PWoC4e7du11WFQVCJWqJVn2+ZmRkuEwVaM+cOeMytf7Dnp8IfEMAAADYEAAAADYEAADA2BAAAACrolKhKkCpyVVmZo888ojL2rdv7zJV9jt06JDLVIFw1qxZLjt37py8nmQJK10WFBS4bOzYsS5T0x3V71EVyVQJjaNjo1N/u86dO7use/fuLmvVqpXL1PtHFaXUcbBmZps3b3aZmtqniklRj2hWBUI1sc5MT22M+t+zZcsWl+3cudNlqTY5NFWpv6+Z2cSJE12mCq+33HKLy6IWXrK2I6QAABnrSURBVNWxxNOmTZPXs23bNpepSX5RqWtU6zLsCG81gXDgwIGRnh+1QKuKsRs3bpTXQ6kQAABUGTYEAACADQEAAGBDAAAArIpKhaqs0bNnT/lYVVJRx7p+9dVXLvvyyy9dpoor58+fl6+dLKpkEnZ0bL9+/VymJhCq0mZmZqbL1qxZ47J58+a5jKNjvbDip5osOH78eJepv6V6rlr/qgw6Y8YMeT2ffvqpzK/VvHlzlw0bNsxlgwYNcpkqtoYV1qL+97z00ksuW716tcu++eYbl1EqjEYdrW1WPYVX9XmtPtfN4isQKmrapprOqIqUZrpUWFhY6DL1b59y+PBhl6kCLccfAwCAaseGAAAAsCEAAABsCAAAgLEhAAAAVkV3Gah26lNPPSUfq8brqhGOU6ZMcdn27dtdduDAAZdV5HxsdY63ytQZ19nZ2S5r166dy+68806XqbPHzcz69u3rMnVHQmlpqcvU7+ef//mfXabuMuAseU/9zc10W1mNLlYNb3Xngror5ujRoy7bunWrvJ6ysrJI16Oy0aNHu0zdCRR2R4Gi7ihQZ9tv2LDBZer9fOHChcivXZupzy31eWKm74DJy8tzmfosVXckffDBBy5Td4Cpsdhm0e8aUe8f9Tk8YsQIlxUVFblM3VFjpu9SUL9ftTbVGPj//M//dNncuXNdpt47VYlvCAAAABsCAADAhgAAABgbAgAAYFVUKlSjeRs3biwfq4oZjRo1cpkqhfTo0cNly5cvd5kqWYWNoe3atavL1FhPVRBTBUl1jap0qX5nZmYnTpxwmSrsvPvuuy7btWuXy3bs2OEyCoTRqPKgmT4XXRX2ohbx1NhWVVb69re/LZ+vyo/qGtV/jxqlrMbVqpKjGldrpkcsqwLhtm3bXJboEba1ifpsVZ9RZvozVz1flQrV+lCj1NX679Wrl7yeqNQ1ZmVluWzw4MEuy8/Pd5ka926m/xvVSO79+/e7bPPmzS5TBUv13IoU4hOBbwgAAAAbAgAAwIYAAAAYGwIAAGBVVCpUVAHDTJcm1CS+J554wmWqcPTkk09GelyYJk2auEwVCNV1q4KL+u9W5av169fL63nvvfdctmrVKpepiVZhv3NUTljxU01GC3tsFGoqmippjRs3Tj5fFWZVgTBs8uK1zp0757K1a9e6TBUFzfR6PXTokMsoECaPmgwY9TNOFRIfeOCBSD+vuqj3hCoKhhWs1fRcVRZ84403Ij2upKTEZanwec03BAAAgA0BAABgQwAAAIwNAQAAsCoqFaqjeN9880352Mcee8xl6shgVQBRpai2bdu6TJWVDh8+LK9HXbsqRamjZ1Ux59SpUy5bsWKFy/bt2xf5elKhfIKqowqJTZs2jZSZ6fKWWjPqmOWlS5e6TJUF1ftZFQXNzM6ePStzVC1VkJs9e7Z87G233eaynj17uqygoMBl6rNZlQ+VsMdFLTmqz/YzZ864TE18VY9Tk27NzFauXOky9W9AqpYFo+IbAgAAwIYAAACwIQAAAMaGAAAAWBWVCk+fPu2y+fPny8feeOONLlNHYkYtqUS9nk8++UQ+VpUA1aQpdVSrKo+oYo8qNKrjbc10uQbJETbFTJWTLl686DJVFlSFrHivRxWt1HRMVVidM2eOy1SpUB3Vqv6bkVrCip/q81mtI/V5pMrd6qhj9fmopsCa6bWprkd9thcXF7tMfYZHLXyb6UmF6rXTqUCo8A0BAABgQwAAANgQAAAAY0MAAADMLKjIkZRBEFT6/Mqw8lRubq7L1BHE8Yha7DOLXqSh7FcpX8RisduTeQHxrOH69evLvFWrVi577rnnXFZYWOgydXSsooqLYcVYVRxTE9hOnjzpsqhlwWQeZZtkab2Gw6i1rdamOpo+MzPTZfn5+S5Tx2h36dJFXs8XX3zhsvLycpepMrZ6nFrrag2HFXVrmNA1zDcEAACADQEAAGBDAAAAjA0BAACwaiwVApbmhaywYqwqZA0ePNhlnTp1cll2dnak11alwrCpaqpApSYVqgJtLSlVxSOt13BFqOmwderUiZRVxaRCtTbVv1+UwH8vSoUAACAcGwIAAMCGAAAAsCEAAADGhgAAABh3GaB61eqGtsriwR0BSVFr1jBqLO4yAAAA4dgQAAAANgQAAIANAQAAMLO6yb4AoCZifCqAdMM3BAAAgA0BAABgQwAAAIwNAQAAMDYEAADA2BAAAABjQwAAAIwNAQAAMDYEAADAKj6p8JiZlVTFhaBWKEj2BRhrGPFhDSPdha7hIBbjaG0AAGo7/i8DAADAhgAAALAhAAAAxoYAAAAYGwIAAGBsCAAAgLEhAAAAxoYAAAAYGwIAAGBsCAAAgLEhAAAAxoYAAAAYG4KECIKgWRAEs4MgKA+CoCQIggeSfU1ARbCGke5Yw/Gr6PHH0F4zs4tmlm9mPcxsXhAEG2Ox2NbkXhYQGWsY6Y41HCeOP45TEARZZnbCzApjsdjOX2dvmtn+WCw2NakXB0TAGka6Yw0nBv+XQfxuNLPLv1mEv7bRzLol6XqAimINI92xhhOADUH8ss3s1DVZmZk1SsK1AJXBGka6Yw0nABuC+J0xs5xrshwzO52EawEqgzWMdMcaTgA2BPHbaWZ1gyDo/FtZkZlRZEG6YA0j3bGGE4BSYQIEQfCumcXM7E/tf9ut882sD+1WpAvWMNIdazh+fEOQGE+aWUMzO2Jm75jZEyxCpBnWMNIdazhOfEMAAAD4hgAAALAhAAAAxoYAAAAYGwIAAGAVPNwoCAIaiIjHsVgs1jyZF8AaRpxYw0h3oWuYbwhQnUqSfQFAnFjDSHeha5gNAQAAYEMAAADYEAAAAGNDAAAAjA0BAAAwNgQAAMDYEAAAAGNDAAAArIKTClF1GjRoIPOWLVu6rG7daH+2kydPuuz06dMuu3DhQqSfh5olCAKX1atXz2WtWrVymVqDly9flq9z5MiRSNfTokWLSK/Duq6d6tSp47JmzZq5LCsry2VqXVfE1atXXabW4fHjx10Wi6XPYEm+IQAAAGwIAAAAGwIAAGBsCAAAgFEqTKjrrvP7q7y8PJepouCYMWPkzxw+fLjLsrOzI13P2rVrXbZkyRKXzZkzx2Xnzp2L9BpIDxkZGS7r2rWry3r06OGySZMmuaxx48YuU8U+M7OVK1dGuUTr37+/y1RBbNWqVS6bO3euy+bNmydf58qVK5GuB1VPFVvNzJo396fzqvUxfvx4l3Xo0MFlOTk5lbi6/+/SpUsuU+vrxRdfdNmpU6dclqpFQ74hAAAAbAgAAAAbAgAAYGwIAACAsSEAAADGXQYJpcZo9uvXz2WFhYUuC7vLoHPnzi6LOrpYjfpUbfPPPvvMZXv27JE/M1Xbsfjdrr/+epfNmDHDZV26dHFZfn6+y8La4UpRUZHL1CjYsrIyl6k7d0aOHOky1UrfsmWLvJ6wtY2qpT6P1B0BZmbPPPOMy+6++26XNW3a1GVqhHZpaanLoo7KNjNbsWKFyz799FOXqbuz0ukzk28IAAAAGwIAAMCGAAAAGBsCAABglAqdBg0auKxRo0Yuy83NdZkao/lnf/ZnLlNjX9XrmsU3ZrVjx44ua9OmTaTnPvvsszI/ePCgyzh3PjnCin0FBQUue+SRR1zWvXt3l6m1qc54V2fBh5WnVIFQjTn+t3/7N5epQqJ6Tw0aNMhlEyZMkNfzd3/3dy47f/68fCwqR5VBBwwY4LK/+Iu/kM8fOnRopNeZP3++yzZs2OCy9evXu0yNGe7WrZt8HbXe161b57KLFy/K56cLviEAAABsCAAAABsCAABgbAgAAIDVklKhKl+p4pWZ2cSJE12mJgvecsstLsvLy3OZml6oylfFxcXyeubMmeOyM2fOuCw7O9tlavphq1atXDZ69GiXqRKOmdns2bNdFnbtqFphRdS+ffu6bMSIES5Ta0aVotauXesyVdxS5UEzvd5VqXDVqlUuUxMW1fu5YcOGLgsriKmSMKXCxFJTAJ944gmXDR8+XD5fTRt8//33XTZt2jSXHThwwGVqDd56660uU5Nhzcy6du3qsiZNmrjs8OHD8vnpgm8IAAAAGwIAAMCGAAAAGBsCAABgNbBUqApHqnzVu3dv+fyoRTx17KY63lOVWdRkvzVr1sjreeedd1ymClmqKNWpUyeXqSKZmk6nHmcW/ehlJFb9+vVdNnbsWPnY6dOnu0xNrTx27JjL1Dr8wQ9+4LKSkhKXxXvMq3rvRp3UqSbjqUmMZnq9Hz16NNLr1Hbq96w+C//8z//cZWpSoSoPmukC4XPPPecydZR11HU4a9Ysl4W9p9S/AX369HHZ3r17XaYKq6l6JDLfEAAAADYEAACADQEAADA2BAAAwNK8VKhKSKo81atXL5ep4lXY88OOmY3iyJEjLlOT355//nn5/K+++splqpCSkZHhMjVN7qabbnKZmrilykOoHqq4qY6tnjx5sny+WsNqAqE6OlZNxvz6669dFs+x3GESXVhlDSeeKreqqa/q6GlVfP6v//ov+TqJLhAqu3btctnixYvlY5966imXPfPMMy5TR4Wroq4q9KYC3jEAAIANAQAAYEMAAACMDQEAALA0LxWqMosqC6pSoSpemekCocpUmeXcuXMuW7BggcuiFrfCXkdRhaysrCyXqfLhpUuXXKaOWDYLnyyGylFrq3379i674447XBZ2hLeyfft2l82YMcNlqmhVFQVCpCc1wbRDhw4uy8nJcVlZWZnLlixZIl8n6hHG8VCfe2HHF6vPPTW98IYbbnDZpk2bXEapEAAApCw2BAAAgA0BAABgQwAAACxFS4WqaNWwYUOXPfzwwy4bPXq0yzIzMyO9RhhVZikvL3eZKgu++OKLLtu/f7/L4i1u5efnu0wdN6oep45jDiu9qIl3qLzmzZu77Omnn3aZKhXm5ubKn1lcXOyyV155xWWqaKjWQrq6evVqsi+hxmnXrp3L1FHy6ojpuXPnukyVrs10QTvRVFFw0aJF8rFq8mLXrl1dpo6CVtMdUxXfEAAAADYEAACADQEAADA2BAAAwNgQAAAAS9G7DOrVq+eyli1buqxHjx4ua9CggcsqckeBokZc7t6922XqfHk1grMqmtzqd6bGjKoRx6qN3axZs8ivg2jUOlTjT9W6Vus/bJSrGpX6q1/9ymWpdseI+v1cd13l/zeLuhPIjPHbUak7u0aOHOmyu+66y2Xq77ZlyxaXlZaWVvLqqoYa3W1mtnTpUpfddNNNLissLIyUqddJhbti+IYAAACwIQAAAGwIAACAsSEAAACWoqXCLl26uEyNJB40aJDL6tSpE+k1wgpZR44ccZkqEE6dOtVln3/+ucuqokCoRmGq8aFhxcBrrVu3zmUbNmyQjz116lSknwmvoKDAZVOmTHGZKiupMueePXvk67zxxhsu+/rrr12W6PPlK0IVCNXvRxUsVWFNFQWXL18uXzvszHv8X2rM+YgRI1zWuXPnSD9PjWdP5hpUVIHczKysrMxlag2r9ar+/Zg3b57Lzp8/H+USqxTfEAAAADYEAACADQEAADA2BAAAwFKgVKgm5w0cONBlqsySlZVV6ddVZ8abmb3wwgsuUwW7bdu2uSyskBKPzMxMl6kSz+TJk13WpEkTl6nJYDNnznTZqlWr5PUw5S0ata7HjRvnMlWWzcjIcNnx48dd9tJLL8nXXrx4sctUoau6qKJvbm6uy55++mmXDR482GXqfbZ//36XrVy5Ul5PVRR9ayJVZM3JyXGZWq8nT550mfrMTIXpfL8t7HrUlEX136imO7Zo0cJlaqIupUIAAJAS2BAAAAA2BAAAgA0BAACwFCgVKurYXpVFpQpV6ohYM7PVq1e7TB1hnOgCYdgRza1bt3aZmoaljtFV5amDBw+6bOfOnS6jPBidKs2pKZF9+vRxmSohnTt3zmUlJSUuCyvNqedXh7A13KFDB5fdcccdLrv77rtdpqZyqvfunDlzXLZs2TJ5PalWZEPqiLdUqCYvqgJ72NHcycY3BAAAgA0BAABgQwAAAIwNAQAAsBQtFarjTVWmqCKdmmKmjog108fEJnrKmyqhqeKVmdm0adNc1qtXL5epqY2qaDV//nyX7dixQ742olHH9vbr189lqkinyqnq77Zw4UKXqXVdXapiDavpheqI51deecVlqgx89uxZeT2oempKateuXV02e/Zs+fxUK36qsqD6d2Hr1q0u27x5c6TnpgK+IQAAAGwIAAAAGwIAAGBsCAAAgKVoqTAeqmiliitLly6Vz0902SMvL89lRUVFLvve974nn3/XXXe5TE2Ee//99102ffp0l6mpixwHG4060tjMbMyYMS4bP368y9RaUCXWf/qnf3LZ//zP/7isuv5u6qjWIUOGuOyRRx6Rz1ePVUfrqt+FWsOzZs1yWSocHVvTqGJfPGW/sEmW6UBduyoaqlKhmnKYaqXJ3+AbAgAAwIYAAACwIQAAAMaGAAAAWAqUClVZI+pUQlXqUEdSHjp0yGVVUchS09vatGnjMjWlTWVhP7O0tNRlqiSpCoSUryovIyND5i1btnRZ06ZNXabWulqv6u9bXQVCdY1qDY8ePdpl6nhnM10gvHjxosvWrVsXKVNrWH0WID5lZWUuU1P31FpXx3+ng7B/ewoLC12mpjGqsmA6rU2+IQAAAGwIAAAAGwIAAGBsCAAAgLEhAAAAlgJ3GaiGardu3VymGp1Hjx51mRrhu2jRIpddvnw56iVKmZmZLhs8eLDLHn30UZd1797dZdnZ2fJ1FixY4LLPP//cZfPmzXPZuXPn5M9E5bRq1Urmf/zHfxzpsaod/9FHH7lM3R0S73pV1Bpu3bq1y6ZNm+aycePGuSxsNK1qpm/YsMFlL774osv27NnjsnRqbaczdbfLW2+95bLy8nKX3XvvvS7Lzc11mRrnbWZ2+PBhl1XH371hw4YyV3fQqH+70h3fEAAAADYEAACADQEAADA2BAAAwKqxVKhG8JqZ9evXz2V9+/Z1WU5Ojstmzpzpstdff91lJ06ciHKJZqaLVmo07YQJEyJlLVq0cNmRI0dc9sorr8jrefPNN12mRjGfPXtWPh+VU79+fZf1799fPvb666+P9Hx1Vvrs2bNdFnW8dFiJT5W31DWOHDnSZUVFRS4bMmSIy+rW9R8dqthqZvb888+7TBUnVUmYAmHyXLlyxWWbNm1ymSp8Dxs2zGVq/G/YyHZVpq6O8d35+fky79y5s8vU+0+tVzXOOFXxDQEAAGBDAAAA2BAAAABjQwAAAKyKSoXqTOmw87Hvv//+SI9VZ3OvXr060uNUAermm2+W1zN27FiXqaLVwIEDXaYmdqnJiUuXLnWZKpeZURZMFjVp8Mknn5SPVSU+VST6+OOPXVZcXOwyNS1NTbIsKCiQ1zNp0iSXqfKumkqYkZHhMlVyVNM/X331VXk9alKhKqwh9e3du9dlK1eujPQ4tQbD/l04duyYy/77v//bZfEUDVWBfOLEifKxgwYNctmpU6dctmXLFpepf5NSFd8QAAAANgQAAIANAQAAMDYEAADAqrFUmJWVJR/boUMHl6kJUKo8okodbdu2dVnjxo1dNmLECHk9o0ePdpmaVKisW7fOZXPmzHHZxo0bXcZRxalFFVHVOjLT613p0aOHy6ZMmeIyVXZq3759pJ9nZtamTZtI17N//36XnTx50mXqiGY1QbOkpES+DgXCmkMdw63W0T/+4z+67IUXXnBZWLn7tddec9nLL7/sMvX5evHiRZfVq1fPZWPGjHHZww8/LK9HfR5s27bNZV9++aXLKjIpN9n4hgAAALAhAAAAbAgAAICxIQAAAFaNxx+HUcdFqpJWXl6ey6ZOneoyVfxSRyerSXRmesLc4cOHXfaTn/zEZVGLVpSs0lPY302tYVWM7d69u8tUAVAVmNSkQnXsbNhrq3WopmOqtb548WKXqSIZ67p2UoXvWbNmuUytS3U0tpl+r7z44osu+4M/+AOXnTlzxmXq/aNKhe3atZPXo44u/6u/+iuX7du3z2WqiJmq+IYAAACwIQAAAGwIAACAsSEAAABmFqhCVOiDgyD6g69Rv359mavjhlXRRJUA1VGtly5dcpk6QliVP8zMPvzwQ5epyYJLliyJ9Dr4P76IxWK3J/MCoq5hdSzr448/Lh/72GOPuSw/P99lYdM6r6VKSGpdHzx4UD5//fr1Lnv77bddpo7hVgWxdCpFVYO0WcOpRh3rPW7cOPlY9W+Amtap/v1SxXCVqWOJP/30U3k9P//5z122cOFCl8VzHHM1Cl3DfEMAAADYEAAAADYEAADA2BAAAACrxlJhmAYNGrhs8ODBLuvUqZPL1ARCdSRycXGxy1RR0MzswIEDLlOFLqayVUpaF7LUscRmer2qo4nDjty+1vLly12mJgh+/PHH8vmqMFtaWuoy1nClpPUaTjWqaGhmNmTIEJc99NBDLlNFw71797ps06ZNLlP/BqxZs0Zez7Fjx1yWxu8fSoUAACAcGwIAAMCGAAAAsCEAAADGhgAAAFgK3GWgzsjOzc11mTrPWp0br8aslpeXu+zEiRPyehjTWqVqZEO7Tp06LlNjtVu2bBnp56k7CtSdLqzVpKiRazjVqPeUGieuxoGrz/uTJ0+6TN0loEYc10DcZQAAAMKxIQAAAGwIAAAAGwIAAGApUCpErUIhC+mONYx0R6kQAACEY0MAAADYEAAAADYEAADA2BAAAABjQwAAAIwNAQAAMDYEAADA2BAAAAAz8+cH/27HzKykKi4EtUJBsi/AWMOID2sY6S50DVdodDEAAKiZ+L8MAAAAGwIAAMCGAAAAGBsCAABgbAgAAICxIQAAAMaGAAAAGBsCAABgbAgAAICZ/T+gK1vwbf+EMAAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "'0'"
+       "<Figure size 648x648 with 9 Axes>"
       ]
      },
-     "execution_count": 78,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "emnist_essentials[\"mapping\"][0][-1]"
+    "display_images(dataset, classes)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 124,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 648x648 with 9 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "fig = plt.figure(figsize=(9, 9))\n",
-    "for i in range(9):\n",
-    "    x, y = dataset[i]\n",
-    "    ax = fig.add_subplot(3, 3, i + 1)\n",
-    "    ax.imshow(x.reshape(28, 28).T, cmap='gray')\n",
-    "    ax.set_title(emnist_essentials[\"mapping\"][int(y)][-1])"
+    "display_dl_images(dl, 9, classes)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 125,
+   "execution_count": 58,
    "metadata": {},
    "outputs": [
     {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "<ipython-input-125-434d2dffe395>:4: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
-      "  ax = fig.add_subplot(3, 3, i % 9 + 1)\n"
-     ]
-    },
-    {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 648x648 with 9 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "fig = plt.figure(figsize=(9, 9))\n",
-    "for i in range(9, 19):\n",
-    "    x, y = dataset[i]\n",
-    "    ax = fig.add_subplot(3, 3, i % 9 + 1)\n",
-    "    ax.imshow(x.reshape(28, 28).T, cmap='gray')\n",
-    "    ax.set_title(emnist_essentials[\"mapping\"][int(y)][-1])"
+    "display_dl_images(dl, 9, classes)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 126,
+   "execution_count": 59,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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y1filGizViGMz/bN48803XbZ+/fpEx+3du9dlTb2RJt2oc+Gmm25y2eWXXy5fr36fr7/+ustUA+6JEyeSLBGoE3Fj6tVY4euvvz7R62fPnu2yRx991GVc9zzuEAAAAAoCAABAQQAAAIyCAAAAWD01FapGODVp0ExPAVSNfapR8fDhw4mOU/toZ2dny/UUFBS47I477nCZmhzXrl07l6k/i/pZqGY/M7OVK1e67Ec/+pHLdu/e7bLaTmhEaqim08mTJ7usTZs28vVq8uT8+fNdVlRUdBqrA+qOaio3M/ve977nMtVAWF1d7TLVgM4EzmS4QwAAACgIAAAABQEAADAKAgAAYPXUVFhVVeWyXbt2yWPfe+89l6mphqox8OGHH3aZajLp1auXy+ImZKnGwNzcXJepSYdq22bV4PXEE0+47I9//KNcz/vvv++ygwcPuoypW5npjDN8Ta6mYKpz+NSpU/I9V69enShT5ytQX9Q194c//KE8dtCgQS5T5/vLL7/ssrlz57qMCZzJcIcAAABQEAAAAAoCAABgFAQAAMDqqalQNbhVVFTIY9V2xer1auLfsGHDEr22bdu2Lovb/lg1eSX985SWlrpszZo1LlMNXps3b5brOXToUKL1IDOp8001VKnJmqq51MzsueeeS3wsUB+ysrJcNmnSpERZ3Os3bNjgst/85jcuo4Hw9HGHAAAAUBAAAAAKAgAAYBQEAADA6qmpUIlr4lPNdGpb1u7du7tMNQsqanqhamY001MWN23a5LI333zTZVu3bnXZ2rVrXVZcXOyyuKlzaHpUo6E6P1TDqhlTCZF6arrr9ddf7zLVPGimGwO/+93vukxdh3H6uEMAAAAoCAAAAAUBAAAwCgIAAGANOKmwpKREHvvkk0+6rLCw0GVq++MOHTokWo/67JUrV8pjy8rKXHb48OFEmWr8olkQNaXO16NHj7osrqFKTbcEGtINN9zgsvHjx7ssrtl16dKlLlPne2Vl5WmsDnG4QwAAACgIAAAABQEAADAKAgAAYBQEAADAGnB0cZzy8nKXqW7SjRs3uqxZs2TLV2Mw40YXq2NVJyxPD6AuqPPtpZdecpl68mD58uWJ3xNoSO+9957LXn31VZfl5+fL1//61792GU8U1D/uEAAAAAoCAABAQQAAAIyCAAAAmFlQY4ZjDw4h+cGAty6KouGpXECmnsNq3/i4sa+oV5zDp+mMM/y/f6rMjMbYehZ7DnOHAAAAUBAAAAAKAgAAYBQEAADA0mBSIYAvRwMhMp2a7srE1/TCHQIAAEBBAAAAKAgAAIBREAAAAKt5U2GxmRXVx0LQJOi9ThsW5zBqg3MYmS72HK7R6GIAANA48Z8MAAAABQEAAKAgAAAARkEAAACMggAAABgFAQAAMAoCAABgFAQAAMAoCAAAgFEQAAAAoyAAAABGQQAAaIRCCL8JITyU6nVkEgqCWgohtAwhPBlCKAohlIYQ1ocQJqR6XUASIYTCEEJVCKHzF/J3QwhRCKFPalYGoKFRENReMzPbYWaXmVlHM7vPzJ7nQooMss3Mbvjr/xNCGGxmbVK3HACpQEFQS1EUHYui6IEoigqjKDoVRdHL9ukF9sJUrw1IaJ6Z3fK5//9WM3s6RWsBTksI4fwQwjuf3aldYGatUr2mTENBUMdCCN3MbICZvZ/qtQAJvWVmHUII54UQsszsejObn+I1AYmFEFqY2SL7tLjtZGa/NbNrUrqoDERBUIdCCM3N7BkzeyqKor+kej1ADfz1LsE4M9tsZrtSuxygRi4xs+Zm9tMoiqqjKHrBzP6c4jVlnGapXkBjEUI4wz69qFaZ2R0pXg5QU/PMbJWZnWX85wJknjPNbFcURdHnsqJULSZTcYegDoQQgpk9aWbdzOyaKIqqU7wkoEaiKCqyT3tfJprZiyleDlBTe8ws77Nr8V/1TtViMhUFQd2Ya2bnmdnfRVFUnurFAKfpG2Z2eRRFx1K9EKCG3jSzE2b2f0MIzUMIV5vZRSleU8ahIKilEEK+mf0fMxtmZntDCGWf/TMtxUsDaiSKok+iKHo71esAaiqKoiozu9rM/t7MDpnZdcadrhoLf/ufXAAAQFPEHQIAAEBBAAAAKAgAAIBREAAAAKMgAAAAVsNJhSEEHklAbRRHUdQllQvgHEYtcQ4j08Wew9whQENilCgyHecwMl3sOUxBAAAAKAgAAAAFAQAAMLY/BgA0cmeckezffU+dOlXPK0lv3CEAAAAUBAAAgIIAAAAYBQEAADCaChNRDSkhBJedPHmyIZYDAIihrtePPfaYy9Q1/Pbbb5fv2VSu7dwhAAAAFAQAAICCAAAAGAUBAACwRthUqBpKsrKyXJadnS1f36tXL5fl5+cnylatWuWy7du3u6y0tNRllZWVcj0AgORatmzpsnHjxrmsbdu2LpsxY4Z8zwMHDtR+YRmAOwQAAICCAAAAUBAAAACjIAAAAEZBAAAALMOfMmjVqpXL2rdv77KcnByXFRQUyPccOXKky8466yyX9e7d22V5eXkuU08ebNy40WVFRUVyPVEUyRyNlxqpqp5q2bt3r3x9RUVFna8p3TVv3txlgwcPlsf26NHDZUuXLq3zNSE1unXrlihTTyN07NhRvidPGQAAgCaDggAAAFAQAAAACgIAAGBp2lSoRg2rpqqbbrrJZYMGDXLZkCFDXKYaDeNy1eSlsmHDhrnsqquuctnatWtdNn36dLme/fv3yxyNlzpfVXPqunXr5Ou/9rWvuezEiRO1X1gaUz+zNWvWyGOPHDniMtWAWFxcXPuFocHt27fPZaopsGfPng2xnIzCHQIAAEBBAAAAKAgAAIBREAAAAEuDpkI1LWr8+PEu+4d/+AeXXXHFFS5T0wtVk2KcY8eOuUw1pKjJghdffLHL1JTDDh06uGzFihVyPc8995zLKisr5bHIPM2a+a/gL3/5S5epCZzqfDPTzVKFhYU1X1yaUlPnnn32WZepa4uZWXl5ucvU9x6Zqbq6OlF2xhn+34fjpltu3brVZadOnTqN1aU37hAAAAAKAgAAQEEAAACMggAAAFgDNhXGNfap7SYnTZrkshEjRrisTZs2LlMTBJW4LWI//vhjl7333nsue+edd1ymtkTu06ePy9SfecyYMXI9y5YtcxnTCxsPNRlTTeVU57Xa8tdMNypmqn79+rnshRdecFn//v0Tv+fBgwddpprO0LippkI16dbMbMmSJS6jqRAAADRKFAQAAICCAAAAUBAAAABrwKbCTp06yXzUqFEumzx5ssu6du2a6HNOnjzpMjVVcP78+fL1L774osv27t3rMjXZTDWI3XPPPS5TE9QmTJgg1/O73/3OZYsXL3ZZY2xwaQpUI2rc1txJqabVTKCmjKoGwqFDh7pMNV1GUSQ/5+WXX3ZZY98eGp66Zm7atCnxsY0RdwgAAAAFAQAAoCAAAABGQQAAAKwBmwrbtm0rc9VUpZqL1BbEO3bscJnapvKZZ55x2WuvvSbXc/z4cZknoRoAb7rpJpepP3Nc0+XIkSNd9uqrr7pMbemK9KImo02fPt1lSScNxh03ceJEl61bty7RezYU1QR43XXXuUxNjks6jbS4uFjm8+bNS/R6NG6qUVD9nRJ3bGPEHQIAAEBBAAAAKAgAAIBREAAAAGvApsI9e/bIXE3dU7Zv3+6yDRs2uKy0tNRlhw4dcpmaaFhbqiFl/fr1Lmvfvr3LunTpIt9TbYvcrVs3l+3cudNlTF9LL2pC5fDhwxO9Nm7qnqKaF1NJNQHeeOONLvvFL37hMtXMVVlZ6bIWLVq4TG1zbKavJWh6srKyXDZ69Gh5rLqON8bra3pdOQAAQEpQEAAAAAoCAABAQQAAAIyCAAAAWAM+ZVBVVSVz9fSBevLg2LFjLjt8+LDLVFdyQ42dLCsrc1lhYaHLLrjgApfFPWXQrl07lyUdbYv0UlBQ4LKePXu6THXRf/DBBy47//zz5eek21MGQ4YMcdnjjz/uMjWyXI0ZVt/7b33rWy576KGH5HoaY3c4ak49uRP3ZEpNnvLJZOl15QAAAClBQQAAACgIAAAABQEAALAGbCqMa8pQDVSqEQ/IJKrxU43mVcepptrNmze7LK6pUI1fVWNa63p8d//+/WX+wgsvuKxNmzYue+ONN1w2a9Ysl82ZM8dlahzx888/L9cDmOm/k+L+7mmoxvRU4w4BAACgIAAAABQEAADAKAgAAIA1YFNhU9CtWzeXXXbZZYmOi2vw2rhxo8uOHj3qsqbS9JIpOnXq5LL8/HyXqal5Dz/8sMsmTpyY+LOPHDnistpMWgshuGzkyJEuU82DZmZdu3Z1mWogvPLKK132q1/9ymVf/epXXbZu3TqXNZXpcqg7rVu3TvUSUoo7BAAAgIIAAABQEAAAAKMgAAAARlNhnVJT55JuX1xdXS3f8/3333dZaWmpy2gqTC/f/va3Xaa2uN6/f7/L1NS9pUuXumzGjBnys0eNGuWy3Nxclx04cEC+/ouGDh3qsmXLlrlMnetmZhs2bHDZhAkTXKamlqrPVs2Czz33nMvY5jhzqWtkTk6Oyzp27Jjotc2bN3eZ2iZ84MCBcj3Lly93WWM8v7hDAAAAKAgAAAAFAQAAMAoCAABgNBWeNrWdbHZ2tstatmzpMjX5befOnfJzlixZ4rKKiookS0QD6du3r8tUU6Eyd+5clyVt9jt8+LDMVfOVmpJYVlbmsosvvthlzz77rMtUA+HHH38s13Pttdcm+mz1c+zZs6fLioqKXPb444/Lz0b6UNc91WhrZnbzzTe7bMSIES4bPHhwos/Oy8tLtB51DY87tjHiDgEAAKAgAAAAFAQAAMAoCAAAgDWRpsIWLVq4rEOHDvJYtQ1xVVWVyy655BKX3XHHHS5TWx2r7YufeeYZuR7VQIXUUJPNzPR2xWrL3/LycpfNmzcv0WerBsK4c0M1ar3yyisuU419qolPNdCq8/Xuu++W61HTGBXVSNaqVSuXvf322y5TP1ukjvq9TZ8+3WXqd25m1r59e5ft2LHDZWpCpZraeumll7pMbU0/ZcoUuZ4//OEPLlu7dq08NpNxhwAAAFAQAAAACgIAAGAUBAAAwDKoqVBtaamoiVJnnnmmy4YNGyZfr5qTDh486LLRo0e7TDUaqnWXlJS4bMWKFXI96likhmoUNDMbPnx4oterrazVVseK2mr1xhtvlMeuWrXKZd27d3dZ586dXabOf9VAeNtttyV6bRzV+KimO6oGsQULFrhMfcfjpn+ibqlprFOnTnXZ9773PZfFNerefvvtLlPntWo0VNtjq+/eoEGDXHbuuefK9ajG4WuuucZlSRto0xV3CAAAAAUBAACgIAAAAEZBAAAAjIIAAABYAz5lELeftBorfM4557hs7NixLlPjh1XX6tChQ12m9n03013NlZWViT67U6dOLisuLnbZhg0bXLZ582a5nurqapmjfqnRq2r8r5lZnz59XKaeClCd+eq4pD7++GOZjxw50mWq67tdu3YuU08UqBHJasR3TXzlK19xmXrqQX2fH3roIZdde+21LuMpg7qnfh8TJ0502ezZs12mOvD/5V/+RX7Of/7nf7pMPT2QlBp3rZ7wUU+/mJmNGjXKZeqpifvvv99lmTRWmzsEAACAggAAAFAQAAAAoyAAAABWT02FzZs3d9nAgQPlsWqE8He+8x2XDRgwINHnKKoRJm5kZl1TzZRq3apJ0UyPTa5tQxe+3HXXXeeywYMHJ379oUOHXKaa8+pDYWGhy1STV7pRDbR/+ctfXKYaCD/55JN6WRP+lhpTrJpYVYO1alhdtGiR/JzaNBAqe/fuddnLL7/ssgsvvFC+Xl3HL7/8cpf94he/cJn6PqYr7hAAAAAKAgAAQEEAAACMggAAAFg9NRXm5eW5LK6pSe0/rfadTzrtqVkz/0dSDSF13bQSRzXXqKmLjzzyiHy9asR55513XFZaWuqyI0eOuEz9fLp16+ayuJ/P7t27XZbp0xTVdLKZM2e6LCsrS75eTbecPn26yw4cOHAaq2ucVEOXatpU0wYrKirqZU34curaPmnSJJepa+6aNWtc1lBT/NQ5M3fuXJdNmzZNvr5fv34ua9++vcvUhNNMwh0CAABAQZ8GeiQAABQqSURBVAAAACgIAACAURAAAACrp6ZC1bgWt61kTk6Oy1RDitpGWG2Xqhq/4rZeTko1jSlq+qH6bDXta8SIEfI91VTC/Px8l23dutVlH3zwgcvUlrdqK9qqqiq5ngULFrhMTeXLdDU5Z9Q0ybitkvEp1Ygat50z0pu67h0+fNhlb7zxhsuSXlvrg2ryVdsXm5n90z/9k8tUg6WacDpnzhyXpes1kzsEAACAggAAAFAQAAAAoyAAAABWT02FakLen//8Z3msarDr27evy1QDoXpt0qmEJ06ckOvZvn27y1Rznnr9eeedl2iNbdu2dZmaaGhmdtVVV7lswoQJLisrK3OZ+j2orZdVo+GWLVvkepYtW+aydG2QSUo1QKmtiuMaY1euXOky1WgINEaqMVBN8VON03HNt3FNzXVJXZs/+ugjeezChQtddvfdd7tMTW186qmnXJau10zuEAAAAAoCAABAQQAAAIyCAAAAWD01FaqGqn/913+Vx1500UUu++53v+uy3Nxcl7Vo0cJlqhlFNY398Y9/lOtZtWqVy1RTYUlJics6duyYKOvdu7fLRo4cKdczdepUl/Xq1ctlauKjyiorK122aNEil8U1++zZs0fmmUw1iN5www0umzdvnnz9gw8+6LJUTmAD6otqVH7zzTddpq5xd955p8v69+8vP2fJkiUuU9euY8eOuSzpdVg1AN58881yPT169HDZ0aNHXfbiiy+6bO/evfI90xF3CAAAAAUBAACgIAAAAEZBAAAAzCyoKX6xB4eQ/GD/WpmrxkDVwJGdne0yNTlObWmpGmH27dsn16MaV+q6QUxtF9q6dWt57OWXX+6yYcOGJXpPRTVDvvTSSy6La4SpqKhI9Dkx1kVRNLw2b1BbtTmH1dbaZnqLajRaGX0O1wd17ZoyZYrLfvKTn7gsbkKr+vtCbZmtmgo7dOjgMnUNV9/bDz/8UK5HNaHPnTvXZWrCaRpeH2LPYe4QAAAACgIAAEBBAAAAjIIAAAAYBQEAALAGfMqgJpo18xOVVdaqVSuXqS54NZpWZakU9xSGGtmsnrhISv251TjiuP3Ia3K+CHRoI9NxDifQsmVLl02cONFlcSPb1VjhpE9SlZaWumzp0qUuU0+fLV68WL6nukaWl5cnWk8a4ikDAAAQj4IAAABQEAAAAAoCAABgadpUiEaLhixkOs7hBqCayGsj3ZrIU4ymQgAAEI+CAAAAUBAAAAAKAgAAYGZ127kBAEAt0QSYGtwhAAAAFAQAAICCAAAAGAUBAACwmjcVFptZUX0sBE1CfqoXYJzDqB3OYWS62HO4RqOLAQBA48R/MgAAABQEAACAggAAABgFAQAAMAoCAABgFAQAAMAoCAAAgFEQAAAAoyAAAABGQQAAAIyCAAAAGAUBAAAwCoJaCyEUhhDKQwhln/vnzFSvC6ipz87lK1K9DuB0hBD+PoSwMYRwPISwN4QwN4SQnep1ZRIKgrrxd1EUtfvcP7tTvSAAaCpCCHeb2Uwz+76ZdTSzS+zTbX5fCyG0SOXaMgkFAQAgY4UQOpjZD83sziiKXo2iqDqKokIz+99m1sfMbkrh8jIKBQEAIJONNLNWZvbi58MoisrM7BUzG5eKRWUiCoK6sSiEcOSzfxalejEA0IR0NrPiKIpOiP9tz2f/OxJoluoFNBJToih6PdWLAIAmqNjMOocQmomioMdn/zsS4A4BACCTvWlmlWZ29efDEEI7M5tgZstTsahMREEAAMhYURQdtU+bCueEEL4eQmgeQuhjZs+b2U4zm5fC5WUU/pMBACCjRVE0K4Rw0MweNbN+ZlZiZovMbFoURZUpXVwGCVEUpXoNAAAgxfhPBgAAgIIAAABQEAAAAKMgAAAAVsOnDEIIdCCiNoqjKOqSygVwDqOWOIeR6WLPYe4QoCEVpXoBQC1xDiPTxZ7DFAQAAICCAAAAUBAAAACjIAAAAEZBAAAAjIIAAAAYBQEAADAKAgAAYDWcVIj606yZ/lXk5OS4LC8vz2UnTpxw2ZYtW1xWWcnW4PhUCMFlubm5LmvXrp3LSkpKXHbo0KG6WRhQC3HX0rp+z5YtW7qsvLzcZVVVVXW+nvrCHQIAAEBBAAAAKAgAAIBREAAAAKOpMCUGDRrksp///Ofy2IKCApepRsOKigqX3X///S6bM2eOy1RDIhq/Fi1auGzEiBEu69u3r8vWr1/vstWrV8vPOXXq1GmsDk2ZauJr3ry5y84++2yXjR071mUdOnSo1XpUY636/rz11lsue+mll1ymrtfpgDsEAACAggAAAFAQAAAAoyAAAABGQQAAAIynDOqdGg977bXXuuziiy+Wr2/dunWiz2nVqpXL1Ihj1anLUwaNn+raVufHjBkzXNavXz+XPfnkky7705/+JD9bjXNF06Ouhfn5+fLYa665xmXdu3d32bhx41ymnjxQ173aqq6udtmECRNcVlZW5rKlS5e6LB2exuEOAQAAoCAAAAAUBAAAwCgIAACA0VRYp1TTjBr7evPNN7tMjcE0Mztw4IDLjh8/7rLevXu7bMyYMS7r1q2bywoLC+Vno/FQ466HDh3qsj59+rhMjX296KKLXJabmys/e8+ePS47efKkPBaNl2qQHjVqlDz2uuuuc1mnTp1cduaZZ7pMNVjXh6ysLJf16NHDZQMGDHDZsmXLXEZTIQAASAsUBAAAgIIAAABQEAAAAKOpsE6pqVsPPPCAy3r16uWyFStWyPd84oknXFZSUuKyJUuWuKx9+/YuUxPr0Pi1bdvWZaqBUB2nmmXVfu40CjZNqolPTRW89dZbXXbLLbfI91TnpjoPk6rNa2tCNU5eeumlLlu8eLHLPvnkE5dFUVQ3C0uIOwQAAICCAAAAUBAAAACjIAAAAEZTYSJq68yBAwe67Ic//KHLJk6c6LIFCxa4TG07a2ZWVFTkMrUdrWo+KS0tdRlbHTdNqplUTSBU57pqyFKNZGpyGxoXNVF1/PjxLpsyZYrL1Lbvqom1tpJe4844w//7sMpqQr1ebdH8gx/8wGX33HOPyw4dOiQ/p76mGnKHAAAAUBAAAAAKAgAAYBQEAADAaCpMJC8vz2WzZ8922YgRI1x25MgRl6nmQ9U8aJZ8UpWaEqemH+7bty/R+6FxUQ1/SRuo1DmotuVW0wvjXo/017lzZ5dNmzbNZZMnT3bZ4MGDXVaTBkLVNKey7du3u0xNAVTnoJqGeP7558v19OzZ02WqAVdRDbhqeqFaT3l5uXzPY8eOJfrsmuIOAQAAoCAAAAAUBAAAwCgIAACA0VSYyPDhw11WUFDgMjXFq7CwMFFWk8arjh07uqy6utplu3btSnQcGhfVLKgma6pzWL1WnZuqmSuu0am+pqqh7qhplKqZ+qqrrnKZaiBUUzCVuOuemtCntn1fvXq1y5599tlEn9O7d2+X7dy5U67n+uuvd1nXrl3lsUmon4/6PsZNKty6detpf/b/hDsEAACAggAAAFAQAAAAoyAAAABGU6GjpnM9/PDDLuvUqZPLfve737ns+9//vstqsgVx3759XXbfffe5bPfu3S5bunRprT4bmUk1BqrGr0GDBrlMTTRUUzDV+d+yZUu5HjXBkOmFqRE3nVL9Pr/zne+4TE1jjfu9f5E6j7Zt2yaP/dGPfuSyTZs2uUw1aB88eNBl6nx79913XbZ27Vq5HjWZ8xvf+IbLevTo4TL188nNzXXZ7bff7jL195GZ2c9+9jOX1cW1nTsEAACAggAAAFAQAAAAoyAAAABGQQAAAIynDBzVbdurVy+XqU7W+fPnuyyui/aLmjXTvwo1KnTs2LEue+GFF1wWN/YSjZsaQ6ueHkg6pliNHt6/f7/L1NMEce+J1Ih7IkCN8R09enTi13+ROmdWrVrlsp///Ofy9b///e9dVllZ6bLanFtJz2sz3dWvrtlTpkxx2ZAhQ1ymvqP5+fkuU091mJk9/fTTLlNPQtQUdwgAAAAFAQAAoCAAAABGQQAAAKwJNxWqJisz3QCiqH24VabGdaqGkrgRlX369HHZ0aNHXaZGfarGRzR+OTk5LlNjirOzs12mGq1Uc+pbb73lsqqqqqRLRIp069ZN5pdddpnL1BheRTX2lZeXu+yVV15x2bJly+R7ptu5VFZW5rJ58+a5TI1Snjlzpsu6du3qMvV9LCgokOvp2LGjy2gqBAAAdYKCAAAAUBAAAAAKAgAAYE24qVBNhTIzmzZtmsuOHDnisgULFrgsaRNfly5dXPbggw/KY8ePH++y1157zWVqIiIT4hq3uL3tR40alShTUzlVA6HaI15lqiER6SVuImqHDh1c1rx580TvqRrp3njjDZctXLjQZenWPFgTRUVFLlPNh5MnT3aZmkCrms3jvuP1hTsEAACAggAAAFAQAAAAoyAAAADWRJoKVSONah40M5s4caLLVNPM+vXrXaamErZp08Zl//Zv/+ayCRMmyPXMmTPHZY888kiiz0bjFtdwpKZbtm/fPtHrVVOUOv9LS0u/fIFodFTj6KZNm1y2fPlyl+3du7de1pQq6pqrvheq4TtdG3C5QwAAACgIAAAABQEAADAKAgAAYE2kqVCJa8hS06KSNoDk5ua67Jvf/KbLrrzySpctXbpUvudTTz3lsuPHjydaD5qmpFPn1LleXV3tspKSkkTHIf3FbfuedCKeaqR75513XKYmFVZUVCT6jEyRdLKgOi5dcYcAAABQEAAAAAoCAABgFAQAAMCacFNhTbz//vsuO3r0qMtycnJcduONN7pMTX579NFH5WerLTaBuqC2x1aT1lRTIdKfanAbOHCgPLagoCDR69UW7++9957LDh8+nGSJGU1tYz9ixAiXqa2O1fRc1ajb0BMNuUMAAAAoCAAAAAUBAAAwCgIAAGAZ1FTYsmVLl/Xo0cNlVVVVLjvzzDNddsEFF8jPUY00qqnwyJEjLlPNV3fccYfLNm/e7LIDBw7I9ajGL6AuqIYl1fCqsnTdvhX/TV0zR44cKY8dNmyYy9S1UDVTq+uZOi6TqW3s1Zb1U6ZMcVl+fn6iz1CNmBs3bpTH1tfPlzsEAACAggAAAFAQAAAAoyAAAABGQQAAACxNnzJQ3a3jxo1z2b333usy1enfr18/l+Xl5SX+bNWBO3ToUJepJw/U6OH9+/fLzwZqonnz5jLv0KGDy9Se7OpJAdXVrJ6y4SmD9NetWzeXjRkzRh6rnthSsrOzXTZ69GiXtWvXzmXq+lgTJ06ccNm+fftcpkYAq++KWmOvXr3kZ0+ePNllN998s8vUzzErK8tllZWVLlu2bJnLFi1aJNdz6NAhmdcWdwgAAAAFAQAAoCAAAABGQQAAACxNmwpVA5Rq9lDNU4MGDXKZGuGp9qOO++yvfe1rLjv33HNdppoFP/jgA5fddtttLjt58qRcD2Cmz1fVNGZmdtlll7lMnddqVGpT3du+MVLnjBrBG3es0r59e5dNmjTJZer6qBq+46im1bKyMpetWrXKZWqsb8eOHV3Wu3dvl8WNdlZN7WokfosWLeTrv6i0tNRlK1ascFnc6OL6+vuCOwQAAICCAAAAUBAAAACjIAAAAJamTYWqYWLBggUuW758ucuuvPJKl/Xs2dNlU6dOlZ/dp08flx07dsxlaqrUypUrXfbuu++6jAZC1IW4RjA1gU01aakmLzVZUzVzIf2p5jo1ddLMLDc312Vdu3Z1mWrQVtfc2k6yjKLIZXU9qbBt27Yuy8nJketJ2nSpqOt9YWGhy1avXu2y7du3n/bnng7uEAAAAAoCAABAQQAAAIyCAAAAWJo2FSpqu0eVffTRRy5TDSG7d++Wn/PAAw+4TDVfzZ8/32Xr1q1zmWqOAepT0qmE69evd9mOHTtcprZqRfpT18fnn39eHqu2fZ8yZUqi49T2viqrCXXdVI2Bqgm8oajvhWrkVM2C8+bNc9muXbtcphop6xN3CAAAAAUBAACgIAAAAEZBAAAALIOaCmtDNWYsXLhQHjts2DCXXXPNNS67/fbbXTZ9+nSXqS2RgYamtlvdtm2by9RUwtpOnUNqqAl5b7/9tjxWbeU7YsQIl3Xu3NllqoFQNR9mgoqKCpmrJnTVLKi2MFZTbQ8ePOiydJhgm5m/NQAAUKcoCAAAAAUBAACgIAAAANZEmgoVtc2rmdmjjz7qsrFjx7ps/PjxLnv55ZddtmjRIpelQ/MIGi/VyLp582aXrVq1ymVMJWzcVHOpmdnGjRtdtnbtWpcNGTLEZWrLYLUFt5o0GNd8qKZtqumFSRtek26nvGXLFvn61157zWXq+6O2l07XBkKFOwQAAICCAAAAUBAAAACjIAAAAGYWarI9bwihSe7lO3ToUJf95Cc/cZlqmpkxY4bLVq5cWTcLyzzroigansoFZOo5rJqvOnbsKI9VjV+qqVBt1UpT4ZdqlOewOr9yc3NdphoICwoKXKa2Jc7OznbZeeedJ9ejmhKPHz/ustpM21THLV++XK5HNRuq70qGTPWMPYe5QwAAACgIAAAABQEAADAKAgAAYBQEAADAeMogEfX0QF5ensv69evnsg8//NBlO3furJuFZZ5G2aGdKs2a6cnjbdu2dZnqqE7X8alpjnP4C9QTCipT44jjnpRR57Y6X9UoZjWSOKnavDaD8JQBAACIR0EAAAAoCAAAAAUBAAAwM92VhL9RXV3tssLCQpcVFRW5rCZNm0BNxDVAqZHEQH1R43qTjvAtLi6u6+WgFrhDAAAAKAgAAAAFAQAAMAoCAABgNBXWKRoIAQCZijsEAACAggAAAFAQAAAAoyAAAABW86bCYjPz4/iAZPJTvQDjHEbtcA4j08Wew4HOeAAAwH8yAAAAFAQAAICCAAAAGAUBAAAwCgIAAGAUBAAAwCgIAACAURAAAACjIAAAAGb2/wGx3642XKia5QAAAABJRU5ErkJggg==\n",
       "text/plain": [
        "<Figure size 648x648 with 9 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "fig = plt.figure(figsize=(9, 9))\n",
-    "for i in range(20, 29):\n",
-    "    x, y = dataset[i]\n",
-    "    ax = fig.add_subplot(3, 3, i % 9 + 1)\n",
-    "    ax.imshow(x.reshape(28, 28).T, cmap='gray')\n",
-    "    ax.set_title(emnist_essentials[\"mapping\"][int(y)][-1])"
+    "display_dl_images(dl, 9, classes)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 127,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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79913XbZu3brw2Ki/qDZ//vOfu+wzn/mMy0aNGhU+ZnRJ5yjLKqqPaPLmddddF94/ukR70SYSbi6OPfbYMN9xxx07/ZhRDUeTMhv1NZ8zZ47LXnrppYYcO49oKnK11+YnnnjCZbX4/HKGAgAA5MaGAgAA5MaGAgAA5MaGAgAA5NZuU6aZXSfpeEkLU0qjKtklks6U9NEoxQtTSv9Vr0V+nH79+rlsyJAhLttyS/9Uo8aw6LLk8+fP7+TqOiZqqomaLaNLsY8bNy58zOjyvr179860nqgBM2pkLYOi13EtRZeOX7x4scuiKYGStMUWnf9/RvSYUaPzt771LZc99dRT4WPSgNmmCDUcTReWpK5du3b6MaNpl8uXL8903x49enT6uFI8pXPq1Kku++CDD3IdpxGi771q3+PRa3stZHnluF7S0UH+05TSmMqv0r8Io+VdL+oY5Xa9qGEUWLsbipTSJEn+ggFAiVDHKDtqGEWXp4fiG2Y2zcyuM7O+1W5kZuPNbLKZTc5xLKBe2q1jahgFRw2jEDq7obhW0s6SxkiaJ+nH1W6YUpqQUtonpbRPJ48F1EumOqaGUWDUMAqjU5MyU0oLPvqzmf1Skr+mdY1FTZWSdPjhh7vssMMOc1nU5BNNFIwui5y3ISdae9RMGl0OOrrs+jHHHOOy7bbbLjx21ssNv/HGGy6LPj/z5s1zWVkbNZtRx3lETbvRJcgvuugil+23336ZHg/lUs8ajppzd99998y3jURNkFknoeZpFq4mem1/+umnXRatu1GiY0fNltHn7M033wwfM2vTa0d16itkZhv/yzdWkq8IoOCoY5QdNYwiyfK20dskHSapv5m9LekHkg4zszGSkqTZks6q4xqB3KhjlB01jKJrd0ORUjo1iH9Vh7UAdUMdo+yoYRQdkzIBAEBupbl8ebVJbNHly6Npbu+9957LokvSRg0wUWNjtQlkW221lct22GEHl+29994uiy4nHU3FjBowszZfStkbo5555hmXrV27NvNxUFvDhg1z2SWXXOKyk08+2WXdunXLfJyotvM03kb1/5Of/MRlV1xxRXj/O++802VlmFxYdtHrTPR6JMUNk1EdRV+3J5980mXRa1TepsxoPW+//bbL7ruveb3Z0ffZTTfd5LJVq1a5bPbs2S6LPrdSPDm3FjhDAQAAcmNDAQAAcmNDAQAAcmNDAQAAcmNDAQAAcivNuzwGDRoU5tHo7WiEdfQujwMOOMBle+21l8uijto1a9aE69ljjz1cdtxxx7ls6NChLuvZs6fLou78qFt5xYoV4Xq22WabMN/U1KlTXRaNba327hbUVjSufezYsS476aSTXJb1a75u3bowf/nll1328MMPuyz6nurRo4fLojVG72j6zne+E65nxowZLps2bZrLqM3a6t27t8uid9B1xIIFC1z2+OOPd/rxqo2QjsZQR++Ei+5ftHcQRe/e+Pd//3eXRe+MafTIcM5QAACA3NhQAACA3NhQAACA3NhQAACA3ErTlBk1qUlxI2M0pjsaI/v973/fZdF412gcatT0I8VNaR0Ze7ypqEEoapqbOHFieP+vfvWrLhswYIDLouYdmtyKpVevXi7beuutO/14s2bNCvOzzz7bZc8995zLou+LaPT8888/77JLL73UZbvuumu4nvPOO89l3/3ud122cOHC8P6oHTPLnEevH0uXLs2URaJ6+5d/+Zfwtl/5yldcNnz48Ez3nzdvXqb1NFOeUfj1xBkKAACQGxsKAACQGxsKAACQGxsKAACQW7tNmWY2VNKNkgZJSpImpJR+bmb9JN0uabik2ZJOSSktq9dCqzWhRBMiowmAUVNnNAkur6zNSVGz5bvvvuuyBx54wGXRlLRqDW1RQ2jUUFpt0mYrKEoN5xV9jaI6imo9qsFFixaFx1m8eLHLsjaBRc29r7zyisuiKazDhg0LH/OYY45xWdSEfM8992RaT1nVs46jZvRo6m90u2qimrn//vtdNnfu3MyPualqzej33Xefy6LX5mrN9eicLNWxXtL5KaXdJO0n6Wwz203SBZIeTSmNlPRo5WOgiKhhtALqGIXW7oYipTQvpTSl8ueVkl6SNETSiZJuqNzsBkl+YD9QANQwWgF1jKLr0BwKMxsuaS9Jz0galFL66A2789V2Gi66z3hJ4zu/RKB2qGG0go7WMTWMRsj8AzEz6yHpd5LOSyn9xQ9zU9sPaMMpSCmlCSmlfVJK++RaKZATNYxW0Jk6pobRCJnOUJhZV7UV8C0ppTsr8QIzG5xSmmdmgyXVdUzd/Pnzw/zee+91WdSUNnr0aJdVm/qWR9QQGk2Ci5otH3vssUy3iy65G10iXYond0afy+gSwkWdxtYZRajhjog+93fddZfL9t57b5dFlwvv3r27y/bbb7/w2JdffrnLosvbR6LjHHXUUS6LmoirfT/27dvXZdHlz6PXglZqypTqV8dRs2X0Oa7WlBk1/UZZVNf1mMjbal/3smj3DIW1fZf/StJLKaWfbPRXEyWdXvnz6ZJ8izVQANQwWgF1jKLLcobiQEmnSXrBzD76b8qFki6TdIeZnSHpTUmn1GeJQG7UMFoBdYxCa3dDkVL6k6RqPxs4srbLAWqPGkYroI5RdEzKBAAAuZXm8uVRs6Mk/fnPf3bZiBEjXPbJT37SZdGln7NOuqy2nujSt1OmTHHZ3Xff7bIXXnjBZUuWLMm0xo5MsIvWvmrVqsz3R3NE0yUvvvhil7366qsuO+2001xWbTJl1OAbTavMKmqS7oiokY96rb/oc1ztdS9yxx13uOymm25yWSs1f2/uOEMBAAByY0MBAAByY0MBAAByY0MBAAByK01TZrXLzD700EMuixo1p02b5rIddtjBZf3793dZdDnnd955J1xPNHHyrbfeclk0PTPrpXQ70uQWNVa98cYbLlu5cmXmx0RzRM3Bs2fPdtmVV17psmjS5Ve/+tXwONFky2222cZlHWkE3lTUiLdsWXzF7enTp7vs4YcfzvSYyCbrZNZo8m41UQNm1FiM1sEZCgAAkBsbCgAAkBsbCgAAkBsbCgAAkJvV49KxVQ9m1riDbSJqZIyybt26uWzNmjUuq9YA1ojGsC5durjs61//enjb//W//pfLJk+e7LJ//ud/dll0mfQmey6ltE8zF9DMGs4jqplqkzLHjh3rsv33399lu+++u8uiRs0VK1a47LHHHnPZU089Fa7n+eefd9ncuXNd1pEpjk1U6hruSEM4TbItq2oNc4YCAADkxoYCAADkxoYCAADkxoYCAADk1u6GwsyGmtkfzWyGmU03s3Mr+SVmNtfMplZ+HVv/5QIdRw2j7KhhlEG77/Iws8GSBqeUpphZT0nPSTpJ0imSVqWUrsp8sJJ2yJdBv379wrxXr14ui8ZxL1myxGWNfAdQRp3qkKeGOybq5O/bt6/Levfunenxom7/BQsWuOyDDz4I7//hhx9mOk5JUMMou6o13O57gFJK8yTNq/x5pZm9JGlIbdcH1A81jLKjhlEGHeqhMLPhkvaS9Ewl+oaZTTOz68zM/xcGKBhqGGVHDaOoMm8ozKyHpN9JOi+ltELStZJ2ljRGbTvnH1e533gzm2xmfpoS0EDUMMqOGkaRZdpQmFlXtRXxLSmlOyUppbQgpbQhpfShpF9K2je6b0ppQkppn2ZPh8PmjRpG2VHDKLp2eyjMzCT9StJLKaWfbJQPrvxcT5LGSnqxPktEFkuXLu1QvjmhhjsmaqJctGhRpgz1QQ2jDLIMZj9Q0mmSXjCzqZXsQkmnmtkYSUnSbEln1WWFQH7UMMqOGkbhbTYXB0NLKPWFlQBRwyg/Lg4GAADqhw0FAADIjQ0FAADIjQ0FAADIjQ0FAADIjQ0FAADIjQ0FAADILctgq1paLOnNyp/7Vz5uBTyXxhjW7AWIGi6Loj4farh+Wum5SMV9PlVruKGDrf7iwGaTmz3gpVZ4LpunVvpctdJzkVrv+dRLK32eWum5SOV8PvzIAwAA5MaGAgAA5NbMDcWEJh671ngum6dW+ly10nORWu/51EsrfZ5a6blIJXw+TeuhAAAArYMfeQAAgNzYUAAAgNwavqEws6PNbKaZvWpmFzT6+HmZ2XVmttDMXtwo62dmD5vZK5Xf+zZzjVmZ2VAz+6OZzTCz6WZ2biUv5fNpFGq4OKjhzitzHVPDxdTQDYWZdZF0jaRjJO0m6VQz262Ra6iB6yUdvUl2gaRHU0ojJT1a+bgM1ks6P6W0m6T9JJ1d+XqU9fnUHTVcONRwJ7RAHV8varhwGn2GYl9Jr6aUXk8prZX0G0knNngNuaSUJklaukl8oqQbKn++QdJJDV1UJ6WU5qWUplT+vFLSS5KGqKTPp0Go4QKhhjut1HVMDRdTozcUQyS9tdHHb1eyshuUUppX+fN8SYOauZjOMLPhkvaS9Ixa4PnUETVcUNRwh7RiHZf+a172GqYps8ZS2/twS/VeXDPrIel3ks5LKa3Y+O/K+HyQTxm/5tQwNlbGr3kr1HCjNxRzJQ3d6OMdK1nZLTCzwZJU+X1hk9eTmZl1VVsR35JSurMSl/b5NAA1XDDUcKe0Yh2X9mveKjXc6A3Fs5JGmtkIM9tK0jhJExu8hnqYKOn0yp9Pl3RPE9eSmZmZpF9Jeiml9JON/qqUz6dBqOECoYY7rRXruJRf85aq4ZRSQ39JOlbSLEmvSbqo0cevwfpvkzRP0jq1/dzxDEnbqa0L9xVJj0jq18HHfEzSGkmrKr9mNui5HKS202jTJE2t/Do27/Np9V/UsHu8rdX2gvimpJWVOjqmQc+FGu785660dVyn1+HZklZv9Dq8StIODXguLVPDjN4uADN7TNLNKaX/bPZagI4ys+6Svq22t/LNUduL4W2S9kgpzW7eyoDszGy2pL9PKT3S7LWU1ZbNXgCAckspvSfpko2i+8zsDUmfUdv/+gBsBniXR3H8HzNbbGZPmtlhzV4M0FlmNkjSLpKmN3stABqHH3kUgJn9laQZktaqrTnqakljUkqvNXVhQAdVutUfkPRaSumsZq8HyKryI4/+aptcKUmPpZQKP0yqSNhQFJCZPSjp/pTSvzd7LUBWZraFpFsl9ZJ0YkppXZOXBGRGD0V+9FAUU5JkzV4EkNVGb30bJOlYNhPA5oceiiYzsz5m9gUz62ZmW5rZlyUdIunBZq8N6IBrJX1a0gkppdXNXgyAxuMMRfN1lfQjSZ+StEHSy5JOSinNauqqgIzMbJiksyR9IGl+28kKSdJZKaVbmrYwAA1FDwUAAMiNH3kAAIDc2FAAAIDc2FAAAIDccm0ozOxoM5tpZq+a2QW1WhTQSNQxyo4aRhF0uinTzLqo7Up1n1Pb1d6elXRqSmnGx9yHDlDksTilNKCWD9jROqaGkRM1jLKrWsN5zlDsK+nVlNLrKaW1kn4j6cQcjwe05806PCZ1jEaihlF2VWs4z4ZiiKS3Nvr47UoGlAl1jLKjhlEIdR9sZWbjJY2v93GAeqGGUXbUMBohz4ZirqShG328YyX7CymlCZImSPzsDoXUbh1Twyg4ahiFkGdD8aykkWY2Qm3FO07SX9dkVUDjUMcoO2q4hW2xhe9MiLIPP/wwU1ZPnd5QpJTWm9k3JD0kqYuk61JK02u2MqABqGOUHTWMomjotTw41Yacnksp7dPMBVDDyIkaRocU8AxF1RpmUiYAAMiNDQUAAMit7m8bBYBa69atm8u23357l61atcplS5YscVkjf/QLSNKWW/p/fj/xiU+47LLLLnPZHnvs4bInnnjCZd/73vfCYy9cuDDLEjuMMxQAACA3NhQAACA3NhQAACA3NhQAACA3mjIhKft7nc3MZX369HFZr169wuMsXbrUZcuWLcuyRLS4qN4kqX///i4744wzXDZ27FiXTZ/u5ztdffXVLps9e7bLouZNoDN69OjhsokTJ7ps1KhRLovqP7Ljjju6bMaM8Ar2+tnPfpbpMTuKMxQAACA3NhQAACA3NhQAACA3NhQAACA3NhQAACA33uVRY/369cuUNVPUcTxixAiX7bTTTi6L3r2x++67u2zQoEHhsb///e+77LHHHnMZo5BbR/TOoAEDBrjswAMPDO9/6KGHumzcuHGZHhsLzMkAACAASURBVDMaURwd59e//rXLfv7zn4fref/998MciF4zJem0005z2f777++yaBz33LlzXRa98yOqyzfffDNcT71whgIAAOTGhgIAAOTGhgIAAOSWq4fCzGZLWilpg6T1KaV9arEooJGoY5QdNYwiqEVT5uEppcU1eJxSGThwYJh/7Wtfc9mXvvQll0XNN40SHTtq1Iyyrl27ZjrGq6++2vGFNddmWceNsN1227nsRz/6kcu++MUvhvePmpqzfv9svfXWLtt5551dFo3yfvHFF8PHvP/++1324YcfZlpPnVHDDbTnnnu67MEHHwxvG/17sXDhQpf9x3/8h8tuvvlml1177bUuGzZsmMteeOGFcD31wo88AABAbnk3FEnS783sOTMbH93AzMab2WQzm5zzWEC9fGwdU8MoAWoYTZf3vPtBKaW5ZjZQ0sNm9nJKadLGN0gpTZA0QZLMjOECKKKPrWNqGCVADaPpcp2hSCnNrfy+UNJdkvatxaKARqKOUXbUMIqg02cozKy7pC1SSisrf/68pEtrtrIC6dKli8uOO+648LZnnnmmy4YMGVLzNeURNZBFWTStctmyZS6LprFdffXV4bH//Oc/ZzpOo2xOddwsUVPlIYcc4rJqjc5ZrVmzxmXz5893WTTtdejQoS6L1ihJjzzyiMtWr16dZYl1QQ3XX/RvwHnnneeyahOCP/jgA5ddcMEFLosafj/xiU+4LJrIuWHDhvDYjZTnRx6DJN1VGau7paRbU0pxiytQXNQxyo4aRiF0ekORUnpdkn/fDFAi1DHKjhpGUfC2UQAAkBsbCgAAkBuXL88gairr06dPeNtoumTUkDNv3jyXrVu3zmXRpZ+jBqFqokadadOmuWz69OkuW79+vcui6YFRo2V0yV0p/lygdUS1OXr0aJf17ds382NGTbuzZ8922U033eSyBx54wGVf+cpXXHbWWWe57LDDDgvXEzXeRetBOUWvuaNGjXJZNAE5agyWpNtvv91l0QTM6PX661//usuiJuLodTh6Da8nzlAAAIDc2FAAAIDc2FAAAIDc2FAAAIDcaMrMILqs8je/+c3wtlFT5qRJk1x28cUXu2z58uUui6aknXjiieGxI48//rjLpkyZ4rI33njDZVEzXNYpm9g8RQ3Mp5xySqbbVWvYffnll1121VVXueyuu+5yWc+ePV22ww47uCxqxMPmKXq9v/LKK1229dZbu+zSS+MBpdH9owbMLbbw/8ePLpO+du1al0VTmqMpxvXEGQoAAJAbGwoAAJAbGwoAAJAbGwoAAJAbTZmbiJpiPvWpT7ksugRyNYsWLXJZ165dXXbssce67OCDD3bZEUcc4bJo3ZL0uc99zmXnn3++y15//XWXNXrKGspv2223dVnUgLly5UqXRZduluIGzJkzZ7osaog+4YQTXHbggQe6LGpyu++++8L1RJdERzlFk12jSaojRoxwWfS6Hk1rlaT3338/03r69+/vsjFjxrhswYIFLps1a5bLosb6euIMBQAAyI0NBQAAyI0NBQAAyI0NBQAAyK3dpkwzu07S8ZIWppRGVbJ+km6XNFzSbEmnpJSW1W+ZjRNNzNt9991dFjWAVbPLLru47Oqrr3bZTjvt5LKtttoq0zGqXdI8esy/+7u/c9mKFStcFk3ZLOtUzM2tjpvlnXfecdl5553nsv32289ljzzySPiY0bS/bbbZxmXRJci/8Y1vuCxqfHvxxRddFk3elKpforreqOF8osb1qBH++OOPd1n0+nrttde6LGpur2bgwIEui/5dGDRokMuiyZurV6/OfOx6yXKG4npJR2+SXSDp0ZTSSEmPVj4Giux6Uccot+tFDaPA2t1QpJQmSVq6SXyipBsqf75B0kk1XhdQU9Qxyo4aRtF1dg7FoJTSvMqf50vy52QqzGy8pPGdPA5QT5nqmBpGgVHDKIzcg61SSsnMqk7PSClNkDRBkj7udkAzfVwdU8MoA2oYzdbZd3ksMLPBklT5fWHtlgQ0DHWMsqOGURidPUMxUdLpki6r/H5PzVZUQNE7OqJ3g1TLo+vZRzZs2OCyqMP9D3/4g8s+85nPhI85fPhwl33hC19wWdSdPH36dJctXNhSr1ebVR03wrp161wWvYPipZdecllU/1L8jo6xY8e6LHr3UtRJH41BvvPOO10WjTIuIGo4o6233tplhxxySKbbRe/sqfYuoEj078IxxxzjsuhSC3fffbfLbrzxxszHbqR2z1CY2W2Snpa0q5m9bWZnqK14P2dmr0g6qvIxUFjUMcqOGkbRtXuGIqV0apW/OrLGawHqhjpG2VHDKDomZQIAgNzYUAAAgNxyv210c9CRkabVmjU3NWfOHJf99re/dVk0/vqJJ55wWdR8KUk/+MEPXPbFL37RZaee6s+mvvHGGy77xS9+4bL169eHxwaqiRowo5HYknTccce57Hvf+57Lou+BtWvXuixrk1uzRmyjPk455RSXnXbaaS5Lyb+rNmosnjFjhsuq1fCZZ57psvHj/ViQBx54wGVnn322y4owZjvCGQoAAJAbGwoAAJAbGwoAAJAbGwoAAJAbTZmb2GqrrVy28847u6xa82XU0BM1oD377LMu+/GPf+yyBQsWuOzDDz90WTR5UIob0I444giXRc1E0RS52267zWWLFi0Kjw1I8fdKNMHya1/7Wnj/KI/un/X74qqrrnJZNJEWXrXXvQEDBrgsav6eMmWKy6KvUTRxtSO6du3qsv/9v/+3y6I6mjt3rsuuuOIKl0UTkC+88MJwPdG/K0ce6ceHRHVYbYJsEXGGAgAA5MaGAgAA5MaGAgAA5MaGAgAA5EZT5iaiSyVPmzbNZUOGDAnvv+WW/lP6wgsvuOxHP/qRy+bPn++yqMkzUq2Jafbs2S6Lpgf27NnTZYceeqjLoga5a665xmVLly4N14PNT9SQtt9++7nsoIMOCu+/3XbbuSxqDly2bJnLJk+e7LJ58+a5LOv32eYu+lpI8etZNJly8eLFLosax1euXOmyVatWZVmiJKlXr14uqzbFclNRo2bUlBnp1q1bmP/jP/6jy15//fVMj1kmnKEAAAC5saEAAAC5saEAAAC5saEAAAC5tduUaWbXSTpe0sKU0qhKdomkMyV9NCLxwpTSf9VrkY0UNRP+8Ic/dFnU9FPt/jfffLPLXn75ZZflaQyLpgRK0tNPP+2yJUuWuCxqturRo4fLoktEZ71kezO1ah1vsYX/P0GU1UP0de/Tp4/Ldt99d5ddcsklLhs1alR4nOj5RBNk/+M//iNTVtbJrkWo4eg1QYqnRkavkVH2rW99K//COimq4WjKZvS6F5k5c2aYT506tUPrKqssrzzXSzo6yH+aUhpT+VWqF2Fslq4XdYxyu17UMAqs3Q1FSmmSJN4DiFKjjlF21DCKLs+50W+Y2TQzu87M+la7kZmNN7PJZubfEA40X7t1TA2j4KhhFEJnNxTXStpZ0hhJ8yT5y2RWpJQmpJT2SSnt08ljAfWSqY6pYRQYNYzC6NSkzJTS/+uIMrNfSrqvZisqoBkzZrjsjDPOCG/7/vvvuyxq1GzUJWmj48yZM8dlI0eOdNmKFStc9sADD7hs+fLlnVxdcxW5jrt06eKyqHH2wAMPdFnU3FiPRs3oMaMGzL322stlO+64Y+bjvPbaay77l3/5F5fdf//9LosmM7aSRtdwtcu8n3DCCS477bTTXLb//vu7bI899nBZ1NwbNUtGt+uIqEH9sccec9n06dNdFjXCR5dnl6S33nqr44sroU69ypjZ4I0+HCvpxdosB2gc6hhlRw2jSLK8bfQ2SYdJ6m9mb0v6gaTDzGyMpCRptqSz6rhGIDfqGGVHDaPo2t1QpJRODeJf1WEtQN1Qxyg7ahhFx6RMAACQW2kuX15tGmMjLjscXRq8WnNS0URNS8OGDXNZ9Plds2aNy6JLrFeb0om/FDWVSdKQIUNcts8+vhn/S1/6kssOPvhgl/Xt69852Khpplknd0Y18/jjj4eP+W//9m8ue+ihh1wW1Stqq9rr7cKFC13285//3GU33nijy/r16+ey3XbbzWXRa9mVV14Zrid6zPXr17ssmmIcNfxGjefR56Laa+Hm8hrJGQoAAJAbGwoAAJAbGwoAAJAbGwoAAJAbGwoAAJBbId/lEXWpjx49OrxtNNL0nXfecVkrdYBHHfvROzckady4cS4bNGhQpuNE3fnbbLNNpvvCi97NIUkTJkxw2Z577umyqHM9GtEdyfsuj1q/myrqen/qqafC2/7+9793WSt9P7eq6F0VixYtypTNnDnTZQMHDnTZZZddlnk90Wj26B1E0XqQDWcoAABAbmwoAABAbmwoAABAbmwoAABAboVsyowaDK+44orwtlFT2sSJE10WjVidM2eOy6JGonqIGh633nprl0UNlP3793fZueeeGx7npJNOcln37t1d9sEHH7jslVdeyZQ1Yvx52UR1GY3TluIGzAEDBmQ6Tp5my7xft6yj2Xv06OGyqPH6gAMOCI/z+c9/3mUPPvigy6IaRuuIxsxHjcpS3PR7yy23uKwsl1AoC85QAACA3NhQAACA3NhQAACA3NrdUJjZUDP7o5nNMLPpZnZuJe9nZg+b2SuV3/0PRYECoIbRCqhjFF2Wpsz1ks5PKU0xs56SnjOzhyV9VdKjKaXLzOwCSRdI+m5HF5C1eW3kyJHh/Xv37u2yXXfd1WWf+cxnXDZp0iSXPfbYYy579913w2NnFT3H3XbbzWVRU9rhhx/usqgRafDgweGxo0bP9957z2V33323y6666iqXzZ07NzxOwdW1hiPR1+iUU07JfNtI1gbMvM2WS5YscVnUvHbvvfe6LJpGOGrUKJdddNFFLoua7iSpZ8+eLnvhhRdc9vrrr4f3byENr+NmiRrPL7/8cpdVmxQb1UL02r5hw4aOLw5VtXuGIqU0L6U0pfLnlZJekjRE0omSbqjc7AZJ/u0EQAFQw2gF1DGKrkM9FGY2XNJekp6RNCilNK/yV/MlZbtABNBE1DBaAXWMIso8h8LMekj6naTzUkorNj79mlJKZhaeZzWz8ZLG510okBc1jFbQmTqmhtEImc5QmFlXtRXwLSmlOyvxAjMbXPn7wZIWRvdNKU1IKe2TUoqn+gANQA2jFXS2jqlhNEK7Zyisbfv7K0kvpZR+stFfTZR0uqTLKr/f05kFRE0xjzzyiMuiZi8pngQZXWL7uOOOc9lRRx3lsgULFrhs3bp14bHz6NOnj8ui6YFbbplvmOnixYtddvXVV7vsxhtvdFnUiFfGqZj1ruFI1Cy8++67h7fNegnyrJ/7aEpgNEWyWoNtNFEwyt5+++1Mx5k+fbrLou+pSy+9NFzPJz7xCZdF00Vnz57tsuhzUVbNqONGiJqNo2nJUR0sXBj+H0Df/a7vSY1eC1FbWf61OlDSaZJeMLOplexCtRXvHWZ2hqQ3JcUt7EDzUcNoBdQxCq3dDUVK6U+Sqr1f7cjaLgeoPWoYrYA6RtExKRMAAOTGhgIAAORWyMuXR82AF198cXjbqVOnuiyaOBlN4YumsQ0fPjzDCusjunR61Ly2fPlyl0XTDSXpN7/5jcuuvPJKl61evTrLEpFR9DX605/+FN42asqMGnS33XZbl0VNxNH3xNNPP+2yP/7xj+F6ou+/avWVRVRb0WTWMWPGhPf/2te+5rLoe/z3v/+9y6KpsGieqAFz5513dtnJJ5/ssuj75IknngiPUy1HfXGGAgAA5MaGAgAA5MaGAgAA5MaGAgAA5GaNnHxY7VoJeUSTJKNmy/Hj/Rj7cePGuaxbt24ui6ZaRreT4mmGUePc0qVLXZb10ukvvviiy6JphFI8HS46dkk81+zRwVlrOGo+22677cLbRpcvj6ZqRtMDJ02a5LK33nrLZcuWLXNZ1ATcKFts4f8vE02ulaQf/vCHLos+l+eff77Logm7TZ6eWZoaziv6GkcTi2+99VaXRdOOo9eyqDlX2iwuZd9MVWuYMxQAACA3NhQAACA3NhQAACA3NhQAACC3Qk7K7IiosWz+/Pkuiy7ZHTUD9erVy2WjRo1y2YABA8L1RA1fjz/+uMuixsisl06PjtFKl2luBVFzbrXLJ0f5q6++6rKo0XPDhg2dWF3zRfX67LPPhreNpnxGDZw77rijy6LPGRojasocPXq0y6IJsJEHHnjAZdFUVzQPZygAAEBubCgAAEBubCgAAEBubCgAAEBu7W4ozGyomf3RzGaY2XQzO7eSX2Jmc81sauXXsfVfLtBx1DDKjhpGGbQ7etvMBksanFKaYmY9JT0n6SRJp0halVK6KvPBGjTytda6dOniso50jzdzxHGL6dTYYmq4HKp9T0VjtqNx+NE7pwo4Zn6zruHosgiXX365y6J/l8455xyXrV69ujYLQ0dUreF23zaaUponaV7lzyvN7CVJQ2q7PqB+qGGUHTWMMuhQD4WZDZe0l6RnKtE3zGyamV1nZn2r3Ge8mU02s8m5VgrUADWMsqOGUVSZNxRm1kPS7ySdl1JaIelaSTtLGqO2nfOPo/ullCaklPZp9hX2AGoYZUcNo8gybSjMrKvaiviWlNKdkpRSWpBS2pBS+lDSLyXtW79lAvlQwyg7ahhF124PhbV1Sv1K0ksppZ9slA+u/FxPksZKerE+S2y+so43RhtquByqNYhHo8mrjTFvVa1Sw9HX7cwzz8x0Xy4vUHxZruVxoKTTJL1gZlMr2YWSTjWzMZKSpNmSzqrLCoH8qGGUHTWMwmv3baM1PRhvuUM+nXrLXS1Rw8iJGt5EdBGxCGcoCqNqDTMpEwAA5MaGAgAA5JalhwIAgLrgRxmtgzMUAAAgNzYUAAAgNzYUAAAgNzYUAAAgt0Y3ZS6W9Gblz/0rH7cCnktjDGv2AkQNl0VRnw81XD+t9Fyk4j6fqjXc0MFWf3Fgs8nNHvBSKzyXzVMrfa5a6blIrfd86qWVPk+t9Fykcj4ffuQBAAByY0MBAABya+aGYkITj11rPJfNUyt9rlrpuUit93zqpZU+T630XKQSPp+m9VAAAIDWwY88AABAbmwoAABAbg3fUJjZ0WY208xeNbMLGn38vMzsOjNbaGYvbpT1M7OHzeyVyu99m7nGrMxsqJn90cxmmNl0Mzu3kpfy+TQKNVwc1HDnlbmOqeFiauiGwsy6SLpG0jGSdpN0qpnt1sg11MD1ko7eJLtA0qMppZGSHq18XAbrJZ2fUtpN0n6Szq58Pcr6fOqOGi4cargTWqCOrxc1XDiNPkOxr6RXU0qvp5TWSvqNpBMbvIZcUkqTJC3dJD5R0g2VP98g6aSGLqqTUkrzUkpTKn9eKeklSUNU0ufTINRwgVDDnVbqOqaGi6nRG4ohkt7a6OO3K1nZDUopzav8eb6kQc1cTGeY2XBJe0l6Ri3wfOqIGi4oarhDWrGOS/81L3sN05RZY6ntfbilei+umfWQ9DtJ56WUVmz8d2V8PsinjF9zahgbK+PXvBVquNEbirmShm708Y6VrOwWmNlgSar8vrDJ68nMzLqqrYhvSSndWYlL+3wagBouGGq4U1qxjkv7NW+VGm70huJZSSPNbISZbSVpnKSJDV5DPUyUdHrlz6dLuqeJa8nMzEzSryS9lFL6yUZ/Vcrn0yDUcIFQw53WinVcyq95S9VwSqmhvyQdK2mWpNckXdTo49dg/bdJmidpndp+7niGpO3U1oX7iqRHJPVr9jozPpeD1HYabZqkqZVfx5b1+TTw80YNx7X0lKR31dYs96SkzzbguVDDnf/clbaO6/U6LOkxSWskrar8mtmA59IyNczobQC5mFkvSXMkfV3SHZK2knSwpPkppWnNXBvQEWb2mKSbU0r/2ey1lBFNmQVgZjuY2e/MbJGZvWFm/9jsNQEdsIskpZRuSyltSCmtTin9ns0EsHlhQ9FkZraFpHsl/Vltb9s6UtJ5ZvaFpi4MyG6WpA1mdoOZHVOGiX7Ax/g/ZrbYzJ40s8OavZgyYUPRfJ+VNCCldGlKaW1K6XVJv1RbkxRQeKntLW4f/Rz4l5IWmdlEMyv8++aBTXxX0k5q+8/dBEn3mtnOzV1SedBD0WRmdoqkW9XWAPSRLpKeSCkd25xVAZ1nZp+SdLOkV1JKpzZ7PUBnmdmDku5PKf17s9dSBls2ewHQW5LeSG3z2oHSSym9bGbXSzqr2WsBckqSrNmLKAt+5NF8/yNppZl918y2MbMuZjbKzD7b7IUBWZjZp8zsfDPbsfLxUEmnSvrv5q4MyM7M+pjZF8ysm5ltaWZflnSIpAebvbayYEPRZCmlDZKOlzRG0huSFkv6T0m9m7kuoANWSvorSc+Y2Xtq20i8KOn8pq4K6Jiukn4kaZHaXofPkXRSSmlWU1dVIvRQAACA3DhDAQAAcmNDAQAAcmNDAQAAcsu1oTCzo81sppm9amYX1GpRQCNRxyg7ahhF0OmmTDProraRu59T29XenpV0akppxsfchw5Q5LE4pTSglg/Y0TqmhpETNYyyq1rDec5Q7Cvp1ZTS6ymltZJ+I+nEHI8HtOfNOjwmdYxGooZRdlVrOM+GYojapjx+5O1K9hfMbLyZTTazyTmOBdRLu3VMDaPgqGEUQt1Hb6eUJqjtIiucakMpUcMoO2oYjZDnDMVcSUM3+njHSgaUCXWMsqOGUQh5NhTPShppZiPMbCu1XW57Ym2WBTQMdYyyo4ZRCJ3+kUdKab2ZfUPSQ2q73PZ1KaXpNVsZ0ADUMcqOGkZRNPRaHvzsDjk9l1Lap5kLoIaREzWMsqtaw0zKBAAAubGhAAAAudX9baOovS228PvAKJOkPn36uCz6MdeqVatc9sEHH3RidUD7ttzSv/SYWXjbqIZ79+5d0/WsX7/eZfPmzQtvy/cFEOMMBQAAyI0NBQAAyI0NBQAAyI0NBQAAyI2mzILr0qWLy/r16+eynj17hvcfPXq0y6IGtBkz/JWO58yZ47IPP/wwU4bNU7du3Vy2yy67uOzII490WdR8KUm77767y/bYY49OrK66d99912U//elPw9veddddLluzZk1N14PNU9Zm5eh7pXv37i5bsGBBeJyosbgWr+OcoQAAALmxoQAAALmxoQAAALmxoQAAALmxoQAAALnxLo8GiMZib7fddi6L3qmx9957u+yUU05x2U477RQee+jQoS5bsWKFy6J3eUyaNMlls2bNctnvf/97lzGeuLVsvfXWLtt1111dNnbs2EzZyJEjXda1a9fw2B0ZNd9Z0Tj6H/7wh+FtozH1999/v8t491Nri96RseOOO4a3jb5/xo0b57Ljjz/eZb169XJZ9C6PHj16uKzauzweeughl5199tku62gNc4YCAADkxoYCAADkxoYCAADklquHwsxmS1opaYOk9SmlfWqxKKCRqGOUHTWMIqhFU+bhKaXFNXicUqnWFBY16hx88MEuO+uss1wWNVZGTZXR6O1oRHc1AwYMcNmIESNcdvjhh7vstddec9nSpUtd9j//8z/hsdetW5dlic2w2dVxVKtSXF/HHHOMy8477zyXRY2a0TjuyIYNG8J85cqVLlu7dq3LovHZUfNa1BAdfT8PGzYsXM+YMWNc9sADD7isCU2Zm10N10PUHNy3b1+XnXbaaS6LGi2luLEyem3P+r0SieqtWpNo9HxqgR95AACA3PJuKJKk35vZc2Y2PrqBmY03s8lmNjnnsYB6+dg6poZRAtQwmi7vjzwOSinNNbOBkh42s5dTSn8xvCClNEHSBEkyM/9mb6D5PraOqWGUADWMpst1hiKlNLfy+0JJd0natxaLAhqJOkbZUcMogk6foTCz7pK2SCmtrPz585IurdnKCiS6Hn3UuCbFTWBRU+ZBBx3kst69e7ssmrBW6ymB1R5zm222cdmQIUNcduSRR7rspZdeCo+zfPlylzVzouDmUsdRw280wVKS9t9/f5dF9Ro190bfK2vWrHHZO++847IpU6aE63niiSdctmzZMpdNnuzP5h966KEu+9GPfuSyqFGzLDaXGo4az6s1zu65554uGz16tMui6cTRtMqoiTGq/2qi17homvDrr7/usrvvvttlUaPytGnTXBZNQJakRYsWZVpjR+X5kccgSXdVXkC2lHRrSunB3CsCGos6RtlRwyiETm8oUkqvS/LbQKBEqGOUHTWMouBtowAAIDc2FAAAIDcuX76JqKksami76KKLwvvvscceLhs+fLjL8jSBRc08UZOOJL333nsu23777V0WTYeLmqCiZtQvfelLLrv11lvD9USXTucyz7UV1duPf/xjlx111FHh/aNm3Khpd/369S6bM2eOy26++WaXTZw40WVvvfVWuJ6otqPLjUeTP6OJmpHo8aqtZ+rUqS6jhmsreu259tprXfblL385vH+eZvaorqMJv7NmzXLZvffeGz7mU0895bLnn3/eZdHlxlevXh0+ZhFxhgIAAOTGhgIAAOTGhgIAAOTGhgIAAOS2WTdlbrvtti7bYYcdXPaDH/zAZSeffHL4mNHlZ6NGz0jU2LVkyRKXRZdKfvzxx8PHnDdvnsu++93vuiy6zG00HW727NkuixrxosYmKW5+Q+cNHDjQZWeccYbLoul/1S55H11GPJrgd9ddd7ls0qRJLnv00Udd9v7774fHzipqlI4uJx1l3bt3d9lrr73msl//+tfhsaPnQ1NmbUUTML/4xS+6LGog7oiowf0Xv/iFy95++22X3X///S6r1sgbHacVa4YzFAAAIDc2FAAAIDc2FAAAIDc2FAAAILeWbMqMmiC32morl40cOdJlY8aMcdl+++3nsqj5stqxI9EEv2iqZTSV78EH/YUEX3nllfA4eZqW3n33XZf9+c9/dlk0BS6aiCnRlJlH1EQZTSk988wzM903ahSTpIceeshlUYPiI4884rJoql/e5rNoOutVV13lssMPP9xl0aXTb7/9dpddQ5tC1QAAE5hJREFUffXVLosakKX8DaX4S9EEywMOOMBl0eXCq73eRq8zS5cuddk999zjsgsvvNBl0es1r2UeZygAAEBubCgAAEBubCgAAEBubCgAAEBu7TZlmtl1ko6XtDClNKqS9ZN0u6ThkmZLOiWltKx+y+yYaMra/vvv77LvfOc7Lhs8eLDLOtIMFImad6ZMmeKyyZMnuyxqcvvsZz/rsi984QvhsYcOHeqyfffdN7ztpu644w6XRU1M0eTO6HK/zVTGOt5UVHNRw2KURRYvXhzm0eXGn3nmGZdlvTR4Xj179nTZoEGDXPaf//mfLosahp988kmXLVq0yGVFa7prhRqOdO3aNVOW9+sRTbGcOXOmy77+9a+77A9/+IPLXnjhBZcVrWYaLcsZiuslHb1JdoGkR1NKIyU9WvkYKLLrRR2j3K4XNYwCa3dDkVKaJGnT99ucKOmGyp9vkHRSjdcF1BR1jLKjhlF0nZ1DMSil9NFVp+ZL8ucfK8xsvKTxnTwOUE+Z6pgaRoFRwyiM3IOtUkrJzKr+4CilNEHSBEn6uNsBzfRxdUwNowyoYTRbZ9/lscDMBktS5feFtVsS0DDUMcqOGkZhdPYMxURJp0u6rPK7b/1vkGgE9t/8zd+4bOzYsS4bPXq0y7K+e6Mj7/KI7Lrrri4bMmSIy7bddluXRZ3E77zzTnic6DGjkdqvvfaay372s5+5LBrxXbR3dHRAYeq4s6IR59FI7S239N/qAwcODB/z8ssvd9nzzz/vsqjLfdq0aS6LxrXPmzfPZdVGgUe1/eUvf9llCxYsyPSYeUeBF0yparh///4uO/fcc10WjY+PRnR35F0Ve+65p8uy/hsQXRbhK1/5isuid8FtTto9Q2Fmt0l6WtKuZva2mZ2htuL9nJm9IumoysdAYVHHKDtqGEXX7hmKlNKpVf7qyBqvBagb6hhlRw2j6JiUCQAAcmNDAQAAcsv9ttFm69Wrl8v22GMPl0UjtRvVgBnp3bu3y6LnEh07GhO8bFk8bTd6zKlTp7rsueeec9ncuXNdVq1xDvW3fv16l911110uixrNTjnlFJdtvfXW4XFGjBjhsmic/QknnOCy5cuXuywaefzHP/7RZZMmTQrX8+ijj7ps9uzZ4W1RHFFD+VlnneWyb33rWy7bZpttMh2jWkN4VIdRY2X070L0fdG9e3eXRY3B9957b7ieFmsEroozFAAAIDc2FAAAIDc2FAAAIDc2FAAAIDdr5PXb88yQj6akSdKJJ57osmuvvdZl2223ncu6dOnS2eU0TNSIFzVGrly5Mrz/gw8+6LJ//dd/dVk0jfD999/PssRGei6ltE8zF1C06yBETbsDBgxw2Wmnneay/fffP3zMUaNGuaxv376ZsmgiZySq6zlz5oS3/fWvf+2yaJpn9JgFtNnU8De/+U2XXXrppS6LGh43bNjgsv/+7/92WTRRU5KWLFnisuj17KijjnLZT3/6U5cNHz7cZVFzfPS9U+22JVa1hjlDAQAAcmNDAQAAcmNDAQAAcmNDAQAAcivNpMxqTZlZG8iiBsxoylrU3Lh27VqXRZdNl6pPH9xUdPnmaLrbY4895rLo8uOrVq0KjxNNUnzzzTdd1sjmXNRO9HVbuHChy3784x+7rNr3VPS90qdPH5cNHTrUZYcffrjLoubPgw46yGXRhE5J+v73v++yaPJg1Ey3Zs2a8DFRfz169HBZVHPRBMtHHnnEZRdffLHLXn755U6urs19993nskMOOcRl55xzjsui74loArLUck2ZVXGGAgAA5MaGAgAA5MaGAgAA5NbuhsLMrjOzhWb24kbZJWY218ymVn4dW99lAvlQxyg7ahhFl6Up83pJV0u6cZP8pymlq2q+og6KmnyyXm48ujz3/fff77L/+q//clk0jbBaHjWQPf744y6LmjKj5s1ql+yNlGR6YCNcrwLXcTNUu6RylEdNZVE2bdo0l910000uO+aYY1wWNV9KcbPmySef7LLbbrvNZS12mfPrVaIavuaaa1wWfY2i16jodS+aEJxXNJEz66XGo39nyjB9uZ7aPUORUpokaWkD1gLUDXWMsqOGUXR5eii+YWbTKqfh/Ps0gXKgjlF21DAKobMbimsl7SxpjKR5kvyb3CvMbLyZTTazyZ08FlAvmeqYGkaBUcMojE5tKFJKC1JKG1JKH0r6paR9P+a2E1JK+zT7CnvAprLWMTWMoqKGUSSdmpRpZoNTSh91zYyV9OLH3b6oomagZcuWuWzyZL+pr3aZ5qyTMhcsWOCyqNmSpsr6aZU6LpKoXqPJnb/97W9dNnr06PAxoymFvXr1clnWS6e3kiLX8NKlvt0jypoper3eZZddXBY1/0dTaqPpsZI0a9asTPcvu3a/A83sNkmHSepvZm9L+oGkw8xsjKQkabaks+q4RiA36hhlRw2j6NrdUKSUTg3iX9VhLUDdUMcoO2oYRcekTAAAkBsbCgAAkFvpu5iiqWZZm12iJq7o8rPR9LP58+eHj9mKjTZAra1du9Zlq1atasJKUE3Xrl1dtscee4S33XvvvV02ceJEl0VNmc1sPO/Xr5/LDjzwQJdFTZlPP/20y5566qnwOJvLvwucoQAAALmxoQAAALmxoQAAALmxoQAAALmxoQAAALmV5l0e1a5R/+KLftJsND57u+22c9mQIUNcduqpfnZMNOb3Zz/7WbieefPmuWzRokUu21y6fvH/69atW+Z85cqVLtuwYUPN19Qsffv6i2KOGjUqvG3UYV/t9QC18+lPf9plv/nNb8LbDhw40GVHH320y5588kmXXXPNNS6L3gWUVzRme+edd3bZtttu67Lo9frWW2912fvvv9/J1bUGzlAAAIDc2FAAAIDc2FAAAIDc2FAAAIDcSt+U+dprr7ksaozs3r17pixqFjv44INdNnv27HA9U6dOddkjjzzisg8++CC8/6ai501DWvH179/fZX//938f3nbkyJEui8YWP/zwwy4rQxNYNLo++p6KRh5LcVPm9OnTXfbuu+92YnWQ4s/x9773PZd98pOfzPyYJ598ssuOOuool7300ksu+8Mf/uCy6HWvWqNy1Oh84YUXuuzcc891WdS8uXDhQpc9/vjj4bE3Z5yhAAAAubGhAAAAubGhAAAAubW7oTCzoWb2RzObYWbTzezcSt7PzB42s1cqv/vmA6AAqGG0AuoYRZelKXO9pPNTSlPMrKek58zsYUlflfRoSukyM7tA0gWSvlu/pcZmzpzpsiuuuMJln//85112zDHHuKx3794uGzFihMv+6Z/+KVzPggULXHbPPfe4bMWKFS6Lmo6iSaBRQ1q1yXLRetatW+eyaBJcC01mrGsNRw1tBx10kMvOOeec8P7RlMFDDz3UZTfffLPL7r33XpctWbLEZW+//bbL1q9fH64nj6gZ7lOf+pTLTjvtNJdF02yluDaffvppl0UTcltM3erYzFw2aNCgXPePvm7R1OFvf/vbLtt///1dFtXrE088Ea4n+v4566yzXNajRw+XRa+ZF198scuif3s2d+2eoUgpzUspTan8eaWklyQNkXSipBsqN7tB0kn1WiSQBzWMVkAdo+g69LZRMxsuaS9Jz0galFL66P2Z8yWF21kzGy9pfOeXCNQONYxW0NE6pobRCJmbMs2sh6TfSTovpfQX5+tT27mt8GpXKaUJKaV9Ukr75FopkBM1jFbQmTqmhtEImTYUZtZVbQV8S0rpzkq8wMwGV/5+sCQ/+QMoCGoYrYA6RpFZe5fRtrZumxskLU0pnbdRfqWkJRs1AvVLKX2nncdqyDW7o0lnUbNl1JR52GGHuSya6jd48ODw2Ftu6X+KFDUsRaKvxfLly10WNZ+tWrUqfMzHHnvMZdFEweg4t99+u8uWLl3qsno091XxXGf+h1XvGo6aMr/4xS+67Nprrw0fM2vz25o1a1w2f/58l0Vfo9tuu81lUW1I2SdORt9Txx9/vMvGjh3rsl133dVl0fetFE8pPOCAA1z2+uuvh/cvmE7VsFS7Oo5qOJpm+n//7/912XHHHRc+ZteuXaPjuKy9f286qiON41Hj+qxZs1z21a9+1WUzZsxwWdTcvpmoWsNZeigOlHSapBfM7KO50hdKukzSHWZ2hqQ3JZ1Si5UCdUANoxVQxyi0djcUKaU/Sar2X+wja7scoPaoYbQC6hhFx6RMAACQGxsKAACQW2kuX94R0aXBo+mB0ZS1qKFt8eLFLjv88MPDY/fp08dlUQNn1IAWNTFF0wOjY1RrjOzXr5/LVq9e7bLoku/PPvtspjVGTXO1br4qsmjC6VNPPeWyaKqlFDdwRl+3aArl8OHDM2Wf/vSnXRZNBJSyN5tFjXjbb7+9y6J1R/UR1ZEUX8r9zTffzLJEZBQ1N5555pkui74WUvwaN2zYMJdlbVCPRN9nb7zxRnjbf/3Xf3VZ1IQcNTVHzc/IhjMUAAAgNzYUAAAgNzYUAAAgNzYUAAAgt3YnZdb0YA2alJlHNPUwaqCsNikzapiMGjijy/NGTUzR5X6jZrju3buH64mmGb711lsumzZtmstee+01l0VNq9EEyKzTFjuo01MGayVrDUfNZwMGDAhve+CBB7osmgQZTZwcOnRopmNHE1wbJWqSfvnll132s5/9LLz/Aw884LJqDZwlUOoajl6jJKl///4u+8UvfpHpdtH3xaJFi1w2ZcoUl91www0uk6SHH374/2vvDl6sKuMwjj8P4YAwLXSCQSbNCDe6GSEkqJUrc6NtIhfhIqhFgUIbqU1/QLmLoFB0IbVRyG2J0EYkEzV1KKdISiY1QxxFKevX4p7g6nmHuXPPveee98z3Axfv/c1cz/ue+zD8uPc97y3VWGw5MAtmmHcoAABAZTQUAACgMhoKAABQGQ0FAACojEWZNUgtiFu1alWpllpYmXpuaqHlunXrksfetGlTqXb+/PlSbWZmplRLLTBNjSe1WCr1VcEDkM2CtqVILQReuXJlqbZ169ZSbXp6ulRL5SP1tdNjY2PJ8aTqqd0zU4uD7927V6qdOnWqVEstwEwt1JTSizoz1soMp6T+VqQyMzk5WaqldnFN5SC1eyaGjkWZAABgeGgoAABAZTQUAACgMhoKAABQ2aINhe21tk/avmz7ku09Rf0D29dsnytu24c/XGDpyDByR4aRg0Wv8rC9RtKaiDhr+0lJ30naKelVSXcj4sOeD7ZMr/JISa3sT9VSUiulx8fHk7+bWvF/+/btUu3u3bul2kJXATxufn6+VBvS1UN9rZBvS4Z7zUwqH1NTU6XaQplJbYV869atUm1iYqJUu3r1aqmW2q499f/VecXZCC3rDKMVFszwohv8R8ScpLni/rztGUnlv05AQ5Fh5I4MIwdLWkNhe72kzZJOF6V3bF+wfdB2eWOFznPetH3G9plKIwUGgAwjd2QYTdVzQ2F7XNJRSXsj4o6kTyQ9J2lanc75o9TzIuLTiHh+1Ju5AGQYuSPDaLKeGgrbK9QJ8ZGIOCZJEXE9Iv6JiH8lfSZpy/CGCVRDhpE7MoymW3QNhW1LOiBpJiL2d9XXFJ/rSdIrki4OZ4jtlNoyttdtZB8+fFiq3b9/P/m7N2/eXNrAujx48KDv5zZJWzLca2ZS+Zidne35OJ3T9ajUgslefw/VtSXDaLdFGwpJL0p6XdL3ts8Vtfck7bI9LSkk/SLpraGMEKiODCN3ZBiNx5eDISfL5ouVRol3KIaKDCN3fDkYAAAYHhoKAABQWS9rKAAsI71+bMHHGwC68Q4FAACojIYCAABURkMBAAAqo6EAAACV1b0o8w9J/3+/8VPF4zZgLvV4ZtQDEBnORVPnQ4aHp01zkZo7nwUzXOvGVo8c2D4z6g1eBoW5LE9tOldtmovUvvkMS5vOU5vmIuU5Hz7yAAAAldFQAACAykbZUHw6wmMPGnNZntp0rto0F6l98xmWNp2nNs1FynA+I1tDAQAA2oOPPAAAQGW1NxS2t9n+wfas7X11H78q2wdt37B9sau22vZXtq8U/64a5Rh7ZXut7ZO2L9u+ZHtPUc9yPnUhw81BhvuXc47JcDPV2lDYfkLSx5JelrRR0i7bG+scwwAckrTtsdo+SSciYoOkE8XjHDyU9G5EbJT0gqS3i9cj1/kMHRluHDLchxbk+JDIcOPU/Q7FFkmzEfFzRPwl6QtJO2oeQyUR8Y2kPx8r75B0uLh/WNLOWgfVp4iYi4izxf15STOSppTpfGpChhuEDPct6xyT4Waqu6GYkvRr1+PfilruJiNirrj/u6TJUQ6mH7bXS9os6bRaMJ8hIsMNRYaXpI05zv41zz3DLMocsOhcNpPVpTO2xyUdlbQ3Iu50/yzH+aCaHF9zMoxuOb7mbchw3Q3FNUlrux4/XdRyd932Gkkq/r0x4vH0zPYKdUJ8JCKOFeVs51MDMtwwZLgvbcxxtq95WzJcd0PxraQNtp+1PSbpNUnHax7DMByXtLu4v1vSlyMcS89sW9IBSTMRsb/rR1nOpyZkuEHIcN/amOMsX/NWZTgiar1J2i7pR0k/SXq/7uMPYPyfS5qT9Lc6nzu+IWlCnVW4VyR9LWn1qMfZ41xeUudttAuSzhW37bnOp8bzRoYbciPDlc5dtjkmw828sVMmAACojEWZAACgMhoKAABQGQ0FAACojIYCAABURkMBAAAqo6EAAACV0VAAAIDKaCgAAEBl/wHqdr9l+pcc3wAAAABJRU5ErkJggg==\n",
-      "text/plain": [
-       "<Figure size 648x648 with 9 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "fig = plt.figure(figsize=(9, 9))\n",
-    "for i in range(30, 39):\n",
-    "    x, y = dataset[i]\n",
-    "    ax = fig.add_subplot(3, 3, i % 9 + 1)\n",
-    "    ax.imshow(x.reshape(28, 28).T, cmap='gray')\n",
-    "    ax.set_title(emnist_essentials[\"mapping\"][int(y)][-1])"
+    "for i, j in enumerate([5, 7, 9]):\n",
+    "    x, y = dataset[j]\n",
+    "    ax = fig.add_subplot(3, 3, i + 1)\n",
+    "    x = x.numpy().reshape(28, 28).swapaxes(0, 1)\n",
+    "    ax.imshow(x, cmap='gray')\n",
+    "    ax.set_xticks([])\n",
+    "    ax.set_yticks([])\n",
+    "    ax.set_title(classes[int(y)])"
    ]
   },
   {
diff --git a/src/notebooks/tqdm.ipynb b/src/notebooks/tqdm.ipynb
new file mode 100644
index 0000000..4b55d9b
--- /dev/null
+++ b/src/notebooks/tqdm.ipynb
@@ -0,0 +1,280 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from tqdm.notebook import trange, tqdm\n",
+    "from time import sleep"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "metrics = {\"loss\": 0.0, \"accuracy\": 0.0}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e02253811497426483b5492663f276ee",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, description='Epoch', max=10.0, style=ProgressStyle(description_width='…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(FloatProgress(value=0.0, max=10.0), HTML(value='')))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "for j in trange(10, unit=\"epoch\", initial=5,\n",
+    "            bar_format=\"{desc}: {n_fmt}/{total_fmt} {bar} {remaining}{postfix}\",\n",
+    "            desc=\"Epoch\"):\n",
+    "    with tqdm(\n",
+    "            total=10,\n",
+    "            leave=False,\n",
+    "            initial=0,\n",
+    "            unit=\"step\",\n",
+    "            bar_format=\"{n_fmt}/{total_fmt} {bar} {remaining} {rate_inv_fmt}{postfix}\",\n",
+    "        ) as t:\n",
+    "        for i in range(10):\n",
+    "            sleep(0.1)\n",
+    "            metrics[\"loss\"] = 0.9 * i\n",
+    "            metrics[\"accuracy\"] = 100 / (i + 1)\n",
+    "            t.set_postfix(**metrics)\n",
+    "            t.update()\n",
+    "        if j + 5 == 10:\n",
+    "            break\n",
+    "#     for j in tqdm(range(100), desc='2nd loop', leave=False, bar_format=\"{n_fmt}/{total_fmt} {bar} {remaining} {rate_inv_fmt}{postfix}\"):\n",
+    "#         sleep(0.1)\n",
+    "#         t.set_postfix(**metrics)\n",
+    "#         t.update()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from datetime import datetime"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'0616_231817'"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "datetime.now().strftime(\"%m%d_%H%M%S\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from loguru import logger"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "a = 2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "2020-06-16 23:44:24.228 | DEBUG    | __main__:<module>:1 - hej 2\n"
+     ]
+    }
+   ],
+   "source": [
+    "logger.debug(f\"hej {a}\", format=\"{time:YYYY-MM-DD at HH:mm:ss} : {level} : {message}\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from pathlib import Path"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "PosixPath('agaga/afaf')"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Path(\"agaga\") / \"afaf\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}