Roko_Ch_8.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "885d80fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3., -3., -3.],\n",
       "       [ 0.,  0.,  0.],\n",
       "       [ 3.,  3.,  3.]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#So how can you find the principal components of a training set? Luckily, there is a \n",
    "#standard matrix factorization technique called singular value decomposition (SVD) \n",
    "#that can decompose the training set matrix X into the matrix multiplication of three \n",
    "#matrices U Σ V⊺, where V contains the unit vectors that define all the principal\n",
    "#components that you are looking for, as shown in Equation 8-1.\n",
    "\n",
    "\n",
    "#The following Python code uses NumPy’s svd() function to obtain all the\n",
    "#principal components of the 3D training set represented in Figure 8-2, then\n",
    "#it extracts the two unit vectors that define the first two PCs:\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "X = np.arange(2,11).reshape(3,3) #small 3D dataset\n",
    "\n",
    "X_centered = X - X.mean(axis=0)\n",
    "X_centered"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e9b39eca",
   "metadata": {},
   "outputs": [],
   "source": [
    "U, s, Vt = np.linalg.svd(X_centered)\n",
    "c1 = Vt[0] # PC1\n",
    "c2 = Vt[1] # PC2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f1317ef7",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Projecting Down to d Dimensions\n",
    "\n",
    "#Once you have identified all the principal components, you can reduce the\n",
    "#dimensionality of the dataset down to d dimensions by projecting it onto the\n",
    "#hyperplane defined by the first d principal components. Selecting this\n",
    "#hyperplane ensures that the projection will preserve as much variance as\n",
    "#possible. For example, in Figure 8-2 the 3D dataset is projected down to the\n",
    "#2D plane defined by the first two principal components, preserving a large part of the dataset's variance.\n",
    "# As a result, the 2D projection looks very much like the original 3D dataset.\n",
    "\n",
    "#To project the training set onto the hyperplane and obtain a reduced dataset\n",
    "#Xd-proj of dimensionality d, compute the matrix multiplication of the \n",
    "#training set matrix X by the matrix Wd, defined as the matrix containing the first d \n",
    "#columns of V, as shown in Equation 8-2.\n",
    "\n",
    "#The following Python code projects the training set onto the plane defined\n",
    "#by the first two principal components:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1a5f06a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "W2 = Vt[:2].T\n",
    "X2D = X_centered @ W2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b6b2c6f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-5.19615242e+00, -1.33226763e-15],\n",
       "       [ 0.00000000e+00,  0.00000000e+00],\n",
       "       [ 5.19615242e+00,  1.33226763e-15]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6a7fc022",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.57735027,  0.57735027,  0.57735027],\n",
       "       [-0.81649658,  0.40824829,  0.40824829]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#There you have it! You now know how to reduce the dimensionality of any\n",
    "#dataset by projecting it down to any number of dimensions, while\n",
    "#preserving as much variance as possible.\n",
    "\n",
    "\n",
    "#Using Scikit-Learn\n",
    "#Scikit-Learn’s PCA class uses SVD to implement PCA, just like we did\n",
    "#earlier in this chapter. The following code applies PCA to reduce the\n",
    "#dimensionality of the dataset down to two dimensions (note that it\n",
    "#automatically takes care of centering the data):\n",
    "\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "X2D = pca.fit_transform(X)\n",
    "\n",
    "\n",
    "#After fitting the PCA transformer to the dataset, its components_ attribute\n",
    "#holds the transpose of Wd: it contains one row for each of the first d\n",
    "#principal components.\n",
    "\n",
    "\n",
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "da1c6cf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.00000000e+00, 4.86296734e-33])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Explained Variance Ratio\n",
    "\n",
    "#Another useful piece of information is the explained variance ratio of each\n",
    "#principal component, available via the explained_variance_ratio_ variable. The \n",
    "#ratio indicates the proportion of the dataset’s variance that lies along each principal \n",
    "#component. For example, let’s look at the explained variance ratios of the first two \n",
    "#components of the 3D dataset represented in Figure 8-2:\n",
    "\n",
    "\n",
    "pca.explained_variance_ratio_\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "09eda98b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "153"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#This output tells us that about 76% of the dataset’s variance lies along the first PC, \n",
    "#and about 15% lies along the second PC. This leaves about 9% for the third PC, so it \n",
    "#is reasonable to assume that the third PC probably carries little information.\n",
    "\n",
    "\n",
    "#Choosing the Right Number of Dimensions\n",
    "#Instead of arbitrarily choosing the number of dimensions to reduce down to, it is simpler \n",
    "#to choose the number of dimensions that add up to a sufficiently large portion of the variance—say,\n",
    "#95% (An exception to this rule, of course, is if you are reducing dimensionality for data visualization,\n",
    "#in which case you will want to reduce the dimensionality down to 2 or 3).\n",
    "\n",
    "\n",
    "#The following code loads and splits the MNIST dataset (introduced in Chapter 3) and performs \n",
    "#PCA without reducing dimensionality, then computes the minimum number of dimensions required \n",
    "#to preserve 95% of the training set’s variance:\n",
    "\n",
    "\n",
    "from sklearn.datasets import fetch_openml\n",
    "\n",
    "mnist = fetch_openml('mnist_784', as_frame=True)\n",
    "X_train, y_train = mnist.data[:60_000], mnist.target[:60_000]\n",
    "X_test, y_test = mnist.data[60_000:], mnist.target[60_000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4cc0aeb3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "154"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA()\n",
    "pca.fit(X_train)\n",
    "cumsum = np.cumsum(pca.explained_variance_ratio_)\n",
    "d = np.argmax(cumsum >= 0.95) + 1 # since indexing starts with 0\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7c437f5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "154"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#You could then set n_components=d and run PCA again, but there’s a better option. \n",
    "#Instead of specifying the number of principal components you want to preserve, \n",
    "#you can set n_components to be a float between 0.0 and 1.0, indicating the ratio of variance you wish to preserve:\n",
    "\n",
    "pca = PCA(n_components=0.95)\n",
    "X_reduced = pca.fit_transform(X_train)\n",
    "\n",
    "#The actual number of components is determined during training, and it is stored in the n_components_ attribute:\n",
    "\n",
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "938d5136",
   "metadata": {},
   "outputs": [
    {
     "data": {
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VRES+hAkRUQnk6M3Ye/E69p6/jj3nr2PfxWzoXSxcGOSnQoMqQWhQNcj+tUoQqob4ib4ooc1mw7lz5wAArVq1YjJERHQbJkREtxEEAWcyC7Dn/M0E6GRGfrF6FTRKNIwOQlyVIDSsEowGVYIQHSp+8uOKyWRCv379AAAvvPCCpO5MISIqCSZEJHk2m4AjabnYcToLO89kYc+F68jWm4vViw33x0PVQhAfY388WCmg3Oy7pVAo0LVrV8cxERE5Y0JEkiMIAk5fzcf201nYfioLO89mFUuANEo5GlUNxkM3kp+HqgUjLEBzh3f0flqtFr/99pvYYRAReS0mRCQJ1/Um7Dibgc3Hr2LrqUxczXPe181frcDDD4ShxQNhaBYbirqRgVAr3bvNnYiIyi8mROSTbDYBhy7nYP2RdPx8UIGROzfBdsvd7xqlHAnVQ9CyRjha1AhDgypBbq/zQ0REvoMJEfkMo8WK7aezsO7wFSQfuYLM/KJeIPs8nzqVK6Bt7Ypo+2BFPBQTAq1KOnNp9Ho9GjVqBADYv3+/y9XPiYikjAkRlWv5Rgs2Hc/A2sNXsOlYBvKMFse5AI0SLWuEItSQhiHPtke18AoiRiouQRBw6tQpxzERETljQkTlTr7RgnWH0/HrgTRsO5UJk+XmYoiVKmjQsX4EOtWvjIdjwyATrFiz5jIig4rvryYlWq0W27ZtcxwTEZEzJkRULhgtVmw+fhU/7b+M9UeuwHhLEhQb7u9IghpXDXa6Fd5sLr54ohQpFAq0atVK7DCIiLwWEyLyWoIgYNe56/hh7yWsOZiGXMPN4bAHwv3xVKMoPNEwEg9WCvDKxRCJiKj8YEJEXicz34gf9l7C17su4szVAkd5RKAG3RpF4enGVVA/KpBJkBssFgtWr14NwL7hq1LJf/pERLfib0XyCjabgK2nMrFq1wUkH7ni2CFep1bgyYaReKZJVTSLDYWinKwM7W2MRiNefPFFAEB+fj4TIiKi2/C3IokqR2/Gqt0X8MXO87h4rdBR3ig6GC81jcZTjaIQoOGP6f2Sy+Vo27at45iIiJzxfxoSxbH0XCzffg6rU1JhMNsnSAdqlXj2oaro0TQadSMDRY7Qt/j5+WHTpk1ih0FE5LWYEFGZsdkErDtyBUv/Oou/z15zlNeNDETfljHo1qgK/NTSWSyRiIi8BxMiKnUWqw0/77+MBZtO41RGPgBAIZehc/3K6NOyOppWD+EEaSIiEhUTIio1RosV3+25hI83n3bMDwrUKvFqixj0ah6DyCA/kSOUjsLCQrRo0QIAsGPHDvj58XtPRHQrJkTkcRarDT/sTcXs9SeQlmMAAIT5qzGgdSxebR6DClqVyBFKj81mw/79+x3HRETkjAkReYwg2OcIfbD2uGNorHKgFv9p8wBeblaN84NEpNVqsW7dOscxERE5Y0JEHrHr3DVMX3MUey9kAwCCdSoMa18TvZrHSGpXeW+lUCjw+OOPix0GEZHXYkJE9+VydiGmrTmKXw+kAQC0KjkGPBKL19rWQCCHxoiIqJxgQkT3xGC24pPNZ7Bw8ykYzDbIZMBLTaOR2KEWIgI5JONtLBYL1q5dCwDo1KkTV6omIroNfyuSWwRBwNrD6Xj316NIzbbfOdaseigmdKuH+lFBIkdHd2I0GvHkk08C4NYdRESu8LcilVhaTiHe/vEw1h+9AgCICtJiXNe6eLJhJNcR8nJyuRwJCQmOYyIicsaEiO7KZhPw5d/n8f4fx5FvtEClkGFw2xoY0q4m7xwrJ/z8/LBr1y6xwyAi8lpMiOhfpWYXYuSqffjnxlYbTaoF473nGqJWRAWRIyMiIvIcJkR0R7/sv4y3Vh9EnsECnVqB/3aug17NY6CQc3iMiIh8CxMiKibPYMaEnw/jh72pAIBG0cGY26Mxqof7ixwZ3avCwkJ06NABALB+/Xpu3UFEdBsmROQk5cJ1vPH1Ply4podcBgxrXxPDH3sQKgUn4pZnNpsN27dvdxwTEZEzJkQEwH47/Rc7z+PdX4/AbBVQJdgPc15qjKbVQ8UOjTxAo9Fg9erVjmMiInLGhIigN1kwfvUhrE6xD5F1iauMGc81RJAfV5r2FUqlEt27dxc7DCIir8WESOLOZxXgP5/vwfEreVDIZRjbuQ4Gto7lukJERCQpTIgk7O8zWRj85R5c15sRHqDB/Fea4OEHwkr8+hMnTsBkMiEuLq4UoyRPsFqt2Lp1KwCgdevWUCi4fhQR0a04U1aivtl9Eb2W/I3rejMaVg3CbyMecSsZAoBu3bqhYcOGWLx4MQRBKKVIyRMMBgPat2+P9u3bw2AwiB0OEZHXYUIkMTabgOm/H8WY7w7AbBXwRMNIrPpPi3vakLVKlSoQBAGDBg3CSy+9hOzsbM8HTB4hk8lQr1491KtXj8OhREQucMhMQqw2YMwPh/DT/jQAwIjHHkTiYw9Cfo8LLUZERKBixYoAgLVr16Jx48ZYsWIFWrVq5bGYyTN0Oh0OHz4sdhhERF6LPUQSUWiyYvFxOX7anwalXIZZLzZC0uO17jkZAux3LlWrVg2ZmZkYNWoUqlSpgjZt2mDZsmWeC5yIiKgMsIdIAnIKzRjw+R4cyZZDo5RjYa+H8GidiPt+X5VKBZVKhV69emHBggU4duwYFi5cyCEZIiIqd5gQ+bhsvQk9F/+Nw5dz4acQ8FnfeLSoWckj761UKmE2mzFx4kR89dVX+OSTT/Df//7XI+9NnlVYWIhu3boBAH7++Wdu3UFEdBsOmfmwW5OhMH81hte3IiEmxGPvHxwcDI1GgwceeAADBw7EjBkzkJOT47H3J8+x2WxYv3491q9fz607iIhcYELko3L0ZvRacjMZ+qJ/Aqp4eG/WcePG4euvvwYA/O9//4Ner8esWbM8+yHkERqNBl9++SW+/PJLbt1BROQCEyIflFNoT4YOpdqToa/+0xwPVgrw+OcEBwcjOjoagP0W/GHDhmHWrFnIzMz0+GfR/VEqlejZsyd69uwJpZIj5UREt2NC5GMMZiv6L9uFg6k5CPVXY+Wg5qgVUaFMPvu///0vZDIZZsyYUSafR0RE5ClMiHyIxWrD8K9SsOf8dQRqlVgx8GHUrlw2yRAAhIeH480338S8efNw6dKlMvtcujur1Ypdu3Zh165dsFqtYodDROR1RE+IFixYgNjYWGi1WsTHxzv2W7qTFStWoFGjRtDpdIiMjES/fv2QlZVVRtF6L0EQ8M7Ph5F85ArUSjkW92mKupGBZR7HyJEjERAQgClTppT5Z9OdGQwGNGvWDM2aNePWHURELoiaEK1atQqJiYkYP348UlJS0Lp1a3Tp0gUXLlxwWX/btm3o3bs3BgwYgMOHD+Pbb7/Frl27MHDgwDKO3Pv834ZTWPn3BchkwEcvNUaz2FBR4ggMDMTYsWOxZMkSnD59WpQYqDiZTIaYmBjExMRwnSgiIhdETYhmzZqFAQMGYODAgahbty7mzJmD6OhoLFy40GX9nTt3onr16hgxYgRiY2PxyCOP4LXXXsPu3bvLOHLvsjrlEmYlnwAATH46Dp3jIkWNZ+jQoahUqRImTpwoahx0k06nw7lz53Du3DnodDqxwyEi8jqi3W5iMpmwZ88ejB071qm8Y8eO2L59u8vXtGzZEuPHj8eaNWvQpUsXZGRk4LvvvsMTTzxxx88xGo0wGo2O57m5uQAAs9kMs9nsgZaIa9/FbPz3+4MAgMFtYvFSfJTLdhWVlUWblUol3nrrLQwfPhxJSUmIi4sr9c+8k7Jstzdhu9luKWC7pdnu0iITBEEo1U+4g8uXL6NKlSr466+/0LJlS0f5tGnTsHz5chw/ftzl67777jv069cPBoMBFosF3bp1w3fffQeVSuWy/sSJEzFp0qRi5StXriz3fylnG4EPDyqQa5ahQYgN/WvbcB9bk3mU2WzGsGHDUL16dYwbN07scIiIqJzT6/V45ZVXkJOTg8BAz8+RFX1BktvnMwiCcMc5DkeOHMGIESPwzjvvoFOnTkhLS8Po0aMxePBgLFmyxOVrxo0bh6SkJMfz3NxcREdHo3379ggLC/NcQ8qY2WrDy4t3Idecg1qVAvD5f5ohQHPny2k2m5GcnIzHH3/8jsmjp+Xl5aF///6oWLEimjZtWiafeTsx2u0Nbm+3wWBAz549AdhvTNBqtSJHWDp4vdluKZBqu0v7BirREqLw8HAoFAqkp6c7lWdkZCAiwvXGo9OnT0erVq0wevRoAEDDhg3h7++P1q1bY8qUKYiMLD53RqPRuFyZt2hj0vLqw/XHsP9SDgK1Sizu0xQhASXbm6os2927d2/MnDkTEyZMQHJycpl85p2U9+t9r4rabTKZ8MsvvwAA5HK5z38vpH69pYbtlobSbqtok6rVajXi4+OL/UeZnJzsNIR2K71eD7ncOWSFQgHA3rMkFVtOXMXHm+13cL33XENUC/POoT+FQoEpU6Zg/fr12Lhxo9jhSJparcaiRYuwaNEiqNVqscMhIvI6og6ZJSUl4dVXX0VCQgJatGiBRYsW4cKFCxg8eDAA+3BXamoqPv/8cwDAU089hUGDBmHhwoWOIbPExEQ0a9YMUVFRYjalzGTkGZD0zT4AQM+Hq6FLA3HvKLub7t27IyEhAePHj8dff/3FW75FolKpMGjQILHDICLyWvfUQ/TFF1+gVatWiIqKwvnz5wEAc+bMwU8//eTW+/To0QNz5szB5MmT0bhxY2zZsgVr1qxBTEwMACAtLc1pTaK+ffti1qxZmDdvHuLi4vDCCy+gdu3a+OGHH+6lGeWOzSbgzW/2IzPfhNoRFfD2k/XEDumuZDIZpk2bhh07duC3334TOxwiIiKX3E6IFi5ciKSkJHTt2hXZ2dmObQCCg4MxZ84ctwMYMmQIzp07B6PRiD179qBNmzaOc8uWLcOmTZuc6g8fPhyHDx+GXq/H5cuX8eWXX6JKlSpuf255tGTbWWw9mQmtSo55rzSBVqUQO6QS6dChA9q1a4fx48fDZrOJHY4k2Ww2HD58GIcPH+Y1ICJywe2E6P/+7//w6aefYvz48Y75OwCQkJCAgwcPejQ4uunElTx8sNa+FME7T9bHg2W0YasnyGQyTJ06FQcOHMA333wjdjiSVFhYiLi4OMTFxaGwsFDscIiIvI7bCdHZs2fRpEmTYuUajQYFBQUeCYqcma02JH2zDyarDe1rV8TLzaLFDsltLVu2xBNPPIF33nkHFotF7HAkKTw8HOHh4WKHQUTkldxOiGJjY7Fv375i5b///jvq1fP+OS3l0bwNp3AoNRdBfirMeK5huZ2YPGXKFJw8eRLLly8XOxTJ8ff3x9WrV3H16lX4+/uLHQ4Rkddx+y6z0aNHY+jQoTAYDBAEAf/88w+++uorTJ8+HYsXLy6NGCXtwKVszNt4CgDwbvc4RASW3wX1GjdujB49emDSpEno2bOnzy4OSERE5Y/bCVG/fv1gsVgwZswYxzLaVapUwdy5c/HSSy+VRoySZTBbkfTNflhtAp5oGIlujcr/0gKTJ09GvXr18Mknn+CNN94QOxwiIiIA93jb/aBBg3D+/HlkZGQgPT0dFy9exIABAzwdm+R9uuUMTmXkIzxAg3efFm+DVE+qVasW+vTpg6lTpyI/P1/scCSjaOuOnj17wmAwiB0OEZHXcTshmjRpEk6ftq+SHB4ejkqVKnk8KAIuXddj/ib7UNnbT9ZFqL/vrC78zjvvICcnBx999JHYoUiG1WrFypUrsXLlSsdSGUREdJPbCdH333+PWrVqoXnz5pg3bx6uXr1aGnFJ3tTfjsJgtqFZbKhPDJXdKiYmBoMHD8b777+P69evix2OJKjVasyePRuzZ8/m1h1ERC64nRAdOHAABw4cwKOPPopZs2ahSpUq6Nq1K1auXAm9Xl8aMUrOtpOZ+P1QOuQyYFK3+uX2rrJ/89Zbb8FsNuODDz4QOxRJUKlUSExMRGJioqQ2gyQiKql7mkNUv359TJs2DWfOnMHGjRsRGxuLxMREVK5c2dPxSY7ZasPEXw4DAHq3qI66kYEiR1Q6IiIikJiYiLlz5yI9PV3scIiISOLue7d7f39/+Pn5Qa1Ww2w2eyImSVu+/RxOZeQj1F+NkR1qiR1OqRo1ahTUajWmTZsmdig+z2az4dy5czh37hy37iAicuGeEqKzZ89i6tSpqFevHhISErB3715MnDiRf+nfp+sFJsxdfxIA8N/OtRGk8+2hjZCQEIwePRqffPKJY5NgKh2FhYWIjY1FbGwst+4gInLB7YSoRYsWqFmzJr799lv069cP58+fx4YNGzBw4EAEBQWVRoySsXDzaeQZLagbGYgX4svf9hz3YsSIEQgODsbkyZPFDsXn6XQ66HQ6scMgIvJKbidE7du3x4EDB7Bv3z6MHj1aMjvNl7b0HAOWbz8HABjTqTbkct+bSO1KQEAAxo8fj2XLlvGOs1Lk7++PgoICFBQUcOsOIiIX3F6pmvM9SsfcP0/CaLGhafUQtKtdUexwytTrr7+OmJgYVKhQQexQiIhIokqUECUlJeHdd9+Fv78/kpKS/rXurFmzPBKYlJzNLMA3uy8CAMZ0ruOTt9n/G5VKhaefflrsMIiISMJKlBClpKQ47iBLSUkp1YCkaFbyCVhtAtrXroim1UPFDod8kNFoxLBhwwAA8+bNg0ajETkiIiLvUqKEaOPGjS6P6f4dvpyDX/ZfBgCM6lRb5GjIV1ksFixevBgAMGfOHCZERES3cXtSdf/+/ZGXl1esvKCgAP379/dIUFIy58Zt9k81ikL9KN6lR6VDpVJhypQpmDJlCleqJiJywe2EaPny5S7XMSksLMTnn3/ukaCk4uSVPCQfuQKZDHjjsQfFDqdMyWQy/PjjjwCAc+fOQSaTYd++faLG5MvUajXGjx+P8ePHcy8zIiIXSpwQ5ebmIicnB4IgIC8vD7m5uY7H9evXsWbNGu5876aPN58BAHSqVxk1KwWIHI1n9e3bFzKZrNijc+fOYodGRERUTIlvuw8ODnb8p1arVvEtJWQyGSZNmuTR4HxZanYhftqXCgAY3K6GyNGUjs6dO2Pp0qVOZZy7Ig5BEJCZmQkACA8Pl9ydjEREd1PiHqKNGzfizz//hCAI+O6777BhwwbHY9u2bbhw4QLGjx9fmrH6lCVbz8JiE9DigTA0jg4WO5xSodFoULlyZadHSEjIHesfO3YMLVu2hFarRf369bFp0yan85s3b0azZs2g0WgQGRmJsWPHwmKxAAB++eUXBAcHO/bp2rdvH2QyGcaOHet4/WuvvYaXX37Z8w0tB/R6PSpVqoRKlSpBr9eLHQ4RkdcpcQ9R27ZtAdj3MYuOjoZcft/7wkpWtt6Er/65AAB43Ud7h+7F6NGjMWfOHNSrVw+zZs1Ct27dcPbsWYSFhSE1NRVdu3ZF37598fnnn+PYsWMYNGgQtFotJk6ciDZt2iAvLw8pKSmIj4/H5s2bER4eji1btqBNmzYAgE2bNmHkyJEit5KIiLyR21lNTEwM5HI59Ho9jh07hgMHDjg96O6+2X0RhWYr6kYGovWD4WKHU2p+/fVXBAQEOD3efffdO9YfNmwYnnvuOdStWxcLFy5EUFAQlixZAgBYsGABoqOjMW/ePNSpUwfdu3fHpEmT8OGHH8JmsyEoKAiNGzd29CoVJT8HDhxAYWEh0tPTceLECbRr164MWu59/P39IQgCBEHg1h1ERC64vXXH1atX0a9fP/z+++8uz1ut1vsOypfZbAK+3GnvHerTIsan53K0b98eCxcudCoLDb3zwpMtWrRwHCuVSiQkJODo0aMAgKNHj6JFixZO369WrVohPz8fly5dQrVq1dCuXTts2rQJSUlJ2Lp1K6ZMmYLvvvsOR44cgdlsRkREBOrUqePhVhIRkS9wOyFKTEzE9evXsXPnTrRv3x6rV6/GlStXMGXKFHz44YelEaNP2XziKi5c0yNQq8TTjX17Y1x/f3/UrFnzvt6jKAESBKFY8igIglOddu3aYcmSJdi/fz/kcjnq1auHNm3a4PDhw0hLS3MM+xIREd3O7SGzDRs2YPbs2WjatCnkcjliYmLQq1cvvP/++5g+fXppxOhTlu84BwB4MSEafmqFuMF4mZ07dzqOLRYL9uzZ4+jRqVevHrZv3+5IggBg+/btqFChAqpUsSeWRfOI5syZg7Zt20Imk6F169Y4dOgQNm/eLOmEyGg0IjExEYmJiTAajWKHQ0TkddxOiAoKChzrDYWGhuLq1asAgAYNGmDv3r2ejc7HnMsswOYTVyGTAb2ax4gdTqkzGo1IT093ehTd+u3K/PnzsXr1ahw7dgxDhw7F9evXHaufDxkyBBcvXsTw4cNx7Ngx/PTTT5gwYQKSkpIcE/yL5hF9+eWXjrlCrVu3xpkzZ3Dy5EnJzh8C7Anm3LlzMXfuXMedeUREdJPbQ2a1a9fG8ePHUb16dTRu3BiffPIJqlevjo8//hiRkZGlEaPPWPH3eQgC0K52RVQP9/2JrX/88Uexn4natWvj2LFjLuvPmDED7733HlJSUlCjRg389NNPCA+3TzqvUqUK1qxZg9GjR6NRo0YIDQ3FgAED8L///c/pPdq3b4+9e/c6kp+QkBBUrVoVBQUFqFu3rucbWU6oVCq89dZbjmMiInJ2T3OI0tLSAAATJkxAp06dsGLFCqjVaixbtszT8fkMk8WG7/faF2Ls9bDv9w4tW7bsX38ebh36ql69uuP5v60T1LZtW/zzzz//+rkzZ87EzJkzncrmzJmDrl27+vQE9rtRq9WYOnWq2GEQEXkttxOinj17Oo6bNGmCc+fO4dixY6hWrZrjr3kqbv3RK7hWYEJEoAbtalcUOxwiIiK6hdsJ0e10Oh0eeughT8Ti077edREA8EJ8NJQKLmpJZUsQBMcK1TqdTtK9ZURErpQoIUpKSirxG86aNeueg/FVl67rsfWkffL5iwnRIkdDUqTX6xEQYN9AOD8/n4szEhHdpkQJUUpKSonejH91uvbt7ksQBKBljTBUC9OJHQ4RERHdpkQJ0caNG0s7Dp9ltQn4drd9uKxHU/YOkTh0Oh3y8/Mdx0RE5Oy+5xDRv9t5JguXcwwI1CrRqX5lscMhiZLJZBwmIyL6F24nRO3bt//XobENGzbcV0C+ZnWK/Vb7JxtFQaviytRERETeyO2EqHHjxk7PzWYz9u3bh0OHDqFPnz6eissnFJqs+ONQOgDgmSa+vW8ZeTeTyYRJkyYBsK8fplarRY6IiMi7uJ0QzZ4922X5xIkTHXMUyG790SvIN1pQNcQP8dVCxA6HJMxsNmPatGkAgLfeeosJERHRbTw2h6hXr15o1qxZsVWCpezHG8Nl3RtXgVzOO/BIPEqlEm+88YbjmIiInHnsN+OOHTug1Wo99XblXla+EZtP2Nce6t4kSuRoSOo0Gg3mzJkjdhhERF7L7YTo2WefdXouCALS0tKwe/duvP322x4LrLz77WAaLDYBDaoEoWalCmKHQ0RERP/C7YQoKCjI6blcLkft2rUxefJkdOzY0WOBlXe/HrBvgPt0Y/YOEREReTu3E6KlS5eWRhw+5WqeEbvOXQMAdI7j2kMkvoKCAm7dQUT0L+5rDlF+fj5sNptTWWBg4H0F5AvWHUmHIAANqwahaghXBSYiIvJ2bidEZ8+exbBhw7Bp0yYYDAZHuSAIkMlksFqtHg2wPCpae4i9Q+QtdDodMjIyHMdEROTM7YSoZ8+eAIDPPvsMERER3ND1Ntl6E3aczgIAdImLFDkaIjuZTIaKFSuKHQYRkddyOyE6cOAA9uzZg9q1a5dGPOVe8pErsNgE1KlcAbHhnKdBRERUHsjdfUHTpk1x8eLF0ojFJ3C4jLyRyWTC1KlTMXXqVJhMJrHDISLyOm73EC1evBiDBw9Gamoq4uLioFKpnM43bNjQY8GVNwVGC7aezATAhIi8i9lsxv/+9z8AQGJiIrfuICK6jdsJ0dWrV3H69Gn069fPUSaTyTipGsBfpzJhstpQLVSH2hFcjJG8h1KpxMCBAx3HRETkzO3fjP3790eTJk3w1VdfcVL1bTYet2/V0b52RX5fyKtoNBp8+umnYodBROS13E6Izp8/j59//hk1a9YsjXjKLUEQsPm4/bbmdrUriRwNERERucPtSdWPPvoo9u/fXxqxlGsnruTjco4BGqUczR8IEzscIiIicoPbPURPPfUURo4ciYMHD6JBgwbFJlV369bNY8GVJ5tu9A41fyAMfmqFyNEQOSsoKEClSvaey4yMDG7dQUR0G7cTosGDBwMAJk+eXOyclCdVb7oxf6hdbS5+R95Jr9eLHQIRkddyOyG6fe8yAvIMZsdmru05f4i8kJ+fH86ePes4JiIiZ7z/1gP+OpUFi01A9TAdqnN1avJCcrkc1atXFzsMIiKv5XZC5Gqo7FbvvPPOPQdTXm05WTRcxt4hIiKi8sjthGj16tVOz81mM86ePQulUokaNWpIMiEq2sz1kZrhIkdC5JrZbMb8+fMBAEOHDi12MwQRkdS5nRClpKQUK8vNzUXfvn3xzDPPeCSo8uRydiHOZhZALgOaPRAqdjhELplMJowcORIAMGjQICZERES38cgcosDAQEyePBlPPvkkXn31VU+8ZblR1DvUoGowArX8T4a8k0KhwCuvvOI4JiIiZ24vzHgn2dnZyMnJcft1CxYsQGxsLLRaLeLj47F169Z/rW80GjF+/HjExMRAo9GgRo0a+Oyzz+417Pv212n7Zq4ta3AxRvJeWq0WK1aswIoVK6DVasUOh4jI67jdQ/TRRx85PRcEAWlpafjiiy/QuXNnt95r1apVSExMxIIFC9CqVSt88skn6NKlC44cOYJq1aq5fM2LL76IK1euYMmSJahZsyYyMjJgsVjcbYZHCILg6CFiQkRERFR+uZ0QzZ492+m5XC5HxYoV0adPH4wbN86t95o1axYGDBjg2IV7zpw5WLt2LRYuXIjp06cXq//HH39g8+bNOHPmDEJD7fN1xLyV+FyWHmk5BqgVciTEcP4QERFReeV2QlS0uNv9MplM2LNnD8aOHetU3rFjR2zfvt3la37++WckJCTg/fffxxdffAF/f39069YN77777h0XmzMajTAajY7nubm5AOx33ZjN5vtqw9YTVwAAjaODoJTZYDZ776KVRW293zaXN2y3/WtBQQEefPBBAMDJkyd9dusOXm+2Wwqk3u7SUuKEyGq14vDhw3jwwQeLJR+FhYU4efIk4uLiIJeXbFpSZmYmrFYrIiIinMojIiKQnp7u8jVnzpzBtm3boNVqsXr1amRmZmLIkCG4du3aHecRTZ8+HZMmTSpWvnHjRuh0uhLFeierT8gByBFmycSaNWvu673KSnJystghiELq7TYYDMjMtM93W7t2rc/PI5L69ZYatlsaSnv7oRInRF988QXmzZuHv//+u9g5tVqN/v37IzExEb169XIrAJlM5vRcEIRiZUVsNhtkMhlWrFiBoKAgAPZht+effx7z58932Us0btw4JCUlOZ7n5uYiOjoa7du3R1jYvc/7EQQBkw5sAmBG787NkRATcs/vVRbMZjOSk5Px+OOPS+qWa7bb3m6bzeZYMqNu3bol/sOlvOH1ZrulQKrtzsrKKtX3L3FCtGTJEowaNcrlLbsKhQJjxozBvHnzSpwQhYeHQ6FQFOsNysjIKNZrVCQyMhJVqlRxJEOA/Ze7IAi4dOmSY0jgVhqNBhqNpli5SqW6rx+k01fzca3ADI1Sjvjq4VApy8d/MPfb7vKK7QYaN24sbjBliNdbWthuaSjttpb4f/Hjx4+jefPmdzzftGlTHD16tMQfrFarER8fX6zLLzk5GS1btnT5mlatWuHy5cvIz893lJ04cQJyuRxVq1Yt8Wd7QsqFbABAgypBUJeTZIiIiIhcK/H/5AUFBY4Jya7k5eW5Pb6XlJSExYsX47PPPsPRo0cxcuRIXLhwAYMHDwZgH+7q3bu3o/4rr7yCsLAw9OvXD0eOHMGWLVswevRo9O/fv8x38E65cB0A8JCXD5URAfYu9k8//RSffvqp5CZiEhGVRImHzB588EFs374dDRs2dHl+27ZtLoes/k2PHj2QlZWFyZMnIy0tDXFxcVizZg1iYmIAAGlpabhw4YKjfkBAAJKTkzF8+HAkJCQgLCwML774IqZMmeLW53pCUQ9Rk+jgMv9sIneZTCb85z//AWD/w0JK3exERCVR4oTolVdewf/+9z+0bNmyWFK0f/9+vPPOOxgzZozbAQwZMgRDhgxxeW7ZsmXFyurUqSP6zHq9yYJj6fbesibV2ENE3k+hUODpp592HBMRkbMSJ0QjR47E77//jvj4eHTo0AF16tSBTCbD0aNHsX79erRq1cqxeaSvO3ApBzYBiAzSonKQb9++TL5Bq9Xixx9/FDsMIiKvVeKESKVSYd26dZg9ezZWrlyJLVu2QBAE1KpVC1OnTkViYqJkuuEdw2XVgkWNg4iIiDzDrZWqVSoVxowZc09DY76kaEJ1k2gOlxEREfkC3i/uJkEQkHIxGwB7iKj80Ov1qF69OqpXr17qq70SEZVHbu9lJnWp2YW4mmeEUi5DXJWgu7+AyAsIgoDz5887jomIyBkTIjcVzR+qFxUIrYp361D5oNVq8c8//ziOiYjIGRMiN+27MVzWmOsPUTmiUCjQtGlTscMgIvJa9zyHyGQy4fjx47BYLJ6Mx+sdSs0BYN+yg4iIiHyD2wmRXq/HgAEDoNPpUL9+fcdK0iNGjMCMGTM8HqA3sdkEHL5sX5CxQVUmRFR+WCwWrFixAitWrJDcHzFERCXhdkI0btw47N+/H5s2bXKai9ChQwesWrXKo8F5m/PX9Mg3WqBRylGzYoDY4RCVmNFoRK9evdCrVy8YjUaxwyEi8jpuzyH68ccfsWrVKjRv3hwymcxRXq9ePZw+fdqjwXmbgzeGy+pGBkKp4IoFVH7I5XJ06NDBcUxERM7cToiuXr2KSpUqFSsvKChwSpB80eEbCVFclUCRIyFyj5+fn+h7ABIReTO3/1Rs2rQpfvvtN8fzoiTo008/RYsWLTwXmRc6yAnVREREPsntHqLp06ejc+fOOHLkCCwWC+bOnYvDhw9jx44d2Lx5c2nE6BUEQXDcYVY/igkRERGRL3G7h6hly5b466+/oNfrUaNGDaxbtw4RERHYsWMH4uPjSyNGr3DxWiFyDRaoFXLUiqggdjhEbtHr9ahfvz7q16/PrTuIiFy4p4UZGzRogOXLl3s6Fq926LK9d6h25QpQKzkplcoXQRBw5MgRxzERETlzOyFas2YNFAoFOnXq5FS+du1a2Gw2dOnSxWPBeZNDnFBN5ZhWq8XGjRsdx0RE5Mztro6xY8fCarUWKxcEAWPHjvVIUN7ooCMh4vwhKn8UCgXatWuHdu3aQaHgHnxERLdzOyE6efIk6tWrV6y8Tp06OHXqlEeC8jaCcHOF6jhOqCYiIvI5bidEQUFBOHPmTLHyU6dOwd/f3yNBeZur+UZcKzBBLrPPISIqbywWC3788Uf8+OOP3LqDiMgFtxOibt26ITEx0WlV6lOnTuHNN99Et27dPBqctzh1JR8AUC1UB62Kww1U/hiNRjzzzDN45plnuHUHEZELbk+q/uCDD9C5c2fUqVMHVatWBQBcunQJrVu3xsyZMz0eoDc4ddWeENWsxP3LqHySy+Vo2bKl45iIiJy5nRAFBQVh+/btSE5Oxv79++Hn54eGDRuiTZs2pRGfVzh5pSgh4nAZlU9+fn7466+/xA6DiMhr3dM6RDKZDB07dkTHjh09HY9XOpXBHiIiIiJfdk8J0Z9//ok///wTGRkZsNlsTuc+++wzjwTmTU7eSIgeZEJERETkk9xOiCZNmoTJkycjISEBkZGRPr/DfbbehMx8+yTUGkyIqJwqLCx0DGtv2bIFfn5+IkdERORd3E6IPv74YyxbtgyvvvpqacTjdYqGy6KCtAjQ3FOHGpHobDYbdu/e7TgmIiJnbv8PbzKZHHerSEHRcBl7h6g802g0+PXXXx3HRETkzO37bwcOHIiVK1eWRixe6ZRj/hDvMKPyS6lU4oknnsATTzwBpZI9nUREt3P7N6PBYMCiRYuwfv16NGzYECqVyun8rFmzPBacNzjJO8yIiIh8ntsJ0YEDB9C4cWMAwKFDh5zO+eIE69NFPUQRTIio/LJardiwYQMA4NFHH+UGr0REt3E7Idq4cWNpxOGVCowWpGYXAgBqVmRCROWXwWBwrBuWn5/vs/sOEhHdK04m+Benb2zZER6gRoi/WuRoiO6dXC5Ho0aNHMdEROTsnhKiXbt24dtvv8WFCxdgMpmczv3www8eCcwb3Nyyg71DVL75+flh3759YodBROS13P5T8euvv0arVq1w5MgRrF69GmazGUeOHMGGDRsQFBRUGjGKpqiHqAaHy4iIiHya2wnRtGnTMHv2bPz6669Qq9WYO3cujh49ihdffBHVqlUrjRhFcz5LDwCIDed8CyIiIl/mdkJ0+vRpPPHEEwDsC7wVFBRAJpNh5MiRWLRokccDFNO5rAIAQPUwJkRUvhUWFqJdu3Zo164dCgsLxQ6HiMjruD2HKDQ0FHl5eQCAKlWq4NChQ2jQoAGys7Oh1+s9HqBYBEHAucwbCVG4TuRoiO6PzWbD5s2bHcdEROTM7YSodevWSE5ORoMGDfDiiy/ijTfewIYNG5CcnIzHHnusNGIURWa+CQUmK2QyIDqUCRGVbxqNBt98843jmIiInLmdEM2bNw8GgwEAMG7cOKhUKmzbtg3PPvss3n77bY8HKJai4bKoID9olFzEjso3pVKJF154QewwiIi81j0NmRWRy+UYM2YMxowZ49GgvEHRcBknVBMREfm+EiVEubm5CAwMdBz/m6J65V1RD1FMGIfLqPyzWq3YuXMnAKB58+bcuoOI6DYlSohCQkKQlpaGSpUqITg42OWeZYIgQCaTwWq1ejxIMZzjLffkQwwGAx555BEA3LqDiMiVEiVEGzZscAyVSWUvs0vX7AlR1RD2EFH5J5PJULNmTccxERE5K1FC1LZtWwCAxWLBpk2b0L9/f0RHR5dqYGJLzbZPHK8a4idyJET3T6fT4eTJk2KHQUTktdxamFGpVGLmzJk+Myx2JwazFZn5RgBAlWAmRERERL7O7ZWqH3vsMWzatKkUQvEeaTn23iE/lQLBOpXI0RAREVFpc/u2+y5dumDcuHE4dOgQ4uPji03O7Natm8eCE8vlbPvWBlVC/DjfgnyCwWDAc889BwD4/vvvodVqRY6IiMi7uJ0Qvf766wCAWbNmFTvnK3eZpV63J0RRHC4jH2G1WrFmzRrHMREROXM7IZLCPkipRT1EwfwrmnyDWq3G0qVLHcdEROTM7YRIChxDZuwhIh+hUqnQt29fscMgIvJa95QQFRQUYPPmzbhw4QJMJpPTuREjRngkMDEV9RBxyIyIiEga3E6IUlJS0LVrV+j1ehQUFCA0NBSZmZnQ6XSoVKmSTyRE7CEiX2O1WnHw4EEAQIMGDbh1BxHRbdy+7X7kyJF46qmncO3aNfj5+WHnzp04f/484uPjMXPmzNKIsUzZbAIu31iUkT1E5CsMBgOaNGmCJk2awGAwiB0OEZHXcTsh2rdvH958800oFAooFAoYjUZER0fj/fffx1tvvVUaMZapzAIjTFYb5DKgchAnVZNvkMlkiIqKQlRUFJeSICJywe2ESKVSOX6hRkRE4MKFCwCAoKAgx3F5VtQ7FBGohUrh9reHyCvpdDqkpqYiNTUVOh335yMiup3bc4iaNGmC3bt3o1atWmjfvj3eeecdZGZm4osvvkCDBg1KI8YyxTWIiIiIpKfEXSAWiwUAMG3aNERGRgIA3n33XYSFheH1119HRkYGFi1aVDpRliFOqCYiIpKeEvcQRUZGok+fPujfvz8SEhIAABUrVnSsfusreMs9+SKDwYBXX30VAPDFF19w6w4iotuUuIcoKSkJv/zyCxo0aIAWLVpgyZIlyM/PL83YRJF6yz5mRL7CarXiu+++w3fffcetO4iIXChxQjRu3DgcP34cmzZtQp06dZCYmIjIyEj069cPf/31V2nGWKYuc9sO8kFqtRrz5s3DvHnzuHUHEZELbt9G1bp1ayxduhTp6emYM2cOTp06hdatW6N27dp4//33SyPGMsUhM/JFKpUKQ4cOxdChQ6FSqcQOh4jI69zzfeX+/v4YMGAAtm7dil9++QWZmZkYN26cJ2MrcwVGC7L1ZgCcVE1ERCQl95wQ6fV6LF26FG3atEG3bt0QFhaGqVOnuv0+CxYsQGxsLLRaLeLj47F169YSve6vv/6CUqlE48aN3f7MOykaLqugVaKCln9Fk++w2Ww4efIkTp48CZvNJnY4RERex+2EaOvWrejfvz8qV66MYcOGITY2Fhs3bsSJEycwduxYt95r1apVSExMxPjx45GSkoLWrVujS5cud13gMScnB71798Zjjz3mbvj/Kj33xpYdQewdIt9SWFiIWrVqoVatWigsLBQ7HCIir1PihGjatGmoVasW2rVrh8OHD+ODDz5AWloali9fjjZt2tzTh8+aNQsDBgzAwIEDUbduXcyZMwfR0dFYuHDhv77utddewyuvvIIWLVrc0+feyZVcIwCgUqDGo+9L5A2CgoIQFBQkdhhERF6pxOsQzZ49G7169cKAAQMQFxd33x9sMpmwZ8+eYr1KHTt2xPbt2+/4uqVLl+L06dP48ssvMWXKlLt+jtFohNFodDzPzc0FAJjNZpjNZqe6adcLAAAVA9TFzpV3Re3xtXbdDdtt/6pWq3H16tVi530NrzfbLQVSb3dpKXFCdPnyZY/enZKZmQmr1YqIiAin8oiICKSnp7t8zcmTJzF27Fhs3boVSmXJQp8+fTomTZpUrHzjxo3F9nT654wcgBx5GZewZk3535fNleTkZLFDEAXbLS1st7Sw3dKg1+tL9f1LnBCV1q26t++8LQiCy924rVYrXnnlFUyaNAm1atUq8fuPGzcOSUlJjue5ubmIjo5G+/btERYW5lT315X7gCsZaNWkHro+XM29hng5s9mM5ORkPP7445K67ZrtZrulgO1mu6UgKyurVN/f7c1dPSU8PBwKhaJYb1BGRkaxXiMAyMvLw+7du5GSkoJhw4YBsN85IwgClEol1q1bh0cffbTY6zQaDTSa4nOCVCpVsR+kq/kmAEBkiL/P/pC5arcUSL3dRqMRr732GgDgk08+cflvwpdI/XpLDdstDaXd1nu+7f5+qdVqxMfHF+vyS05ORsuWLYvVDwwMxMGDB7Fv3z7HY/Dgwahduzb27duHhx9++L5jyrhxl1lEIFepJt9isViwfPlyLF++3LFRMxER3SRaDxFg3x/t1VdfRUJCAlq0aIFFixbhwoULGDx4MAD7cFdqaio+//xzyOXyYpO5K1WqBK1W65FJ3jabgIw8++TrCN5lRj5GpVI5VpKX0l+UREQlVaKEqOjOrJIIDAwscd0ePXogKysLkydPRlpaGuLi4rBmzRrExMQAANLS0u66JpGnZBWYYLEJkMmAigFMiMi3qNVqjB49WuwwiIi8VokSouDgYJcTnV1xdyftIUOGYMiQIS7PLVu27F9fO3HiREycONGtz7uTKzeGy8IDNFAqRBtJJCIiIhGUKCHauHGj4/jcuXMYO3Ys+vbt61gYcceOHVi+fDmmT59eOlGWgYy8ovlD7B0i32Oz2ZCWlgYAiIyMhFzOpJ+I6FYlSojatm3rOJ48eTJmzZqFl19+2VHWrVs3NGjQAIsWLUKfPn08H2UZSM+5MX+oAidUk+8pLCxE1apVAQD5+fnw9/cXOSIiIu/i9p+JO3bsQEJCQrHyhIQE/PPPPx4JSgxZ+faEKJzzh8hHKZXKEi9oSkQkNW4nRNHR0fj444+LlX/yySeIjo72SFBiuKa3r0EUGqAWORIiz/P393dsV8PeISKi4tz+c3H27Nl47rnnsHbtWjRv3hwAsHPnTpw+fRrff/+9xwMsK9cLbiREOiZEREREUuN2D1HXrl1x4sQJdOvWDdeuXUNWVhaefvppnDhxAl27di2NGMvENb1907gQfyZEREREUnNPEwqio6Mxbdo0T8ciKkcPkT8XrSPfYzQaHXv6zZo1y+e37iAictc93Xu7detW9OrVCy1btkRqaioA4IsvvsC2bds8GlxZunYjIQrhkBn5IIvFggULFmDBggXcuoOIyAW3E6Lvv/8enTp1gp+fH/bu3Quj0X53Vl5eXrnuNcoumlTNITPyQSqVChMmTMCECRO4dQcRkQtuJ0RTpkzBxx9/jE8//dTpF2vLli2xd+9ejwZXVgxmKwpM9hW2g9lDRD5IrVY7VnZXq/kzTkR0O7cTouPHj6NNmzbFygMDA5Gdne2JmMpc9o0J1Qq5DIFartNCREQkNW4nRJGRkTh16lSx8m3btuGBBx7wSFBl7db5QyXds42oPBEEAdnZ2cjOzoYgCGKHQ0TkddxOiF577TW88cYb+PvvvyGTyXD58mWsWLECo0aNuuMmrd7uup53mJFv0+v1CAkJQUhICPR6vdjhEBF5HbfHh8aMGYOcnBy0b98eBoMBbdq0gUajwahRozBs2LDSiLHU8Q4zIiIiabunCTNTp07F+PHjceTIEdhsNtSrVw8BAQGejq3MXOcdZuTjdDodTCb7zzn3MyMiKu6efzPqdDqXm7yWR44eIiZE5KNkMhlvtyci+hduJ0QFBQWYMWMG/vzzT2RkZMBmszmdP3PmjMeCKyvcx4yIiEja3E6IBg4ciM2bN+PVV19FZGSkT9yVVbSPWbCOf0GTbzKZTBg/fjwA+5A31yIiInLmdkL0+++/47fffkOrVq1KIx5RFK1SzUnV5KvMZjNmzpwJAFyckYjIBbcTopCQEISGhpZGLKLJKWQPEfk2lUqFUaNGOY6JiMiZ2wnRu+++i3feeQfLly+HTqcrjZjKXDaHzMjHqdVqfPDBB2KHQUTktdxOiD788EOcPn0aERERqF69erG/NsvjfmZFPURBfkyIiIiIpMjthKh79+6lEIZ4rDYBuYaihIjzKsg3CYIAi8UCwL4OkS/cDEFE5EluJ0QTJkwojThEk2cwo2hrJ/YQka/S6/WOxVPz8/Ph7+8vckRERN7F7b3MfE3RcJlOrYBaKflvBxERkSSVqIcoNDQUJ06cQHh4OEJCQv61u/3atWseC64sOCZUs3eIfJhOp8P169cdx0RE5KxECdHs2bNRoUIFAMCcOXNKM54yl32jhyiQCRH5MJlMhuDgYLHDICLyWiVKiPr06ePy2BdwDSIiIiK6r22vCwsLYTabncoCAwPvK6CylnNjlepg3mFGPsxkMmHatGkAgLfeeosrVRMR3cbtWcQFBQUYNmwYKlWqhICAAISEhDg9ypuiOUS8w4x8mdlsxqRJkzBp0qRif8QQEdE99BCNGTMGGzduxIIFC9C7d2/Mnz8fqamp+OSTTzBjxozSiLFUcciMpECpVGLIkCGOYyIicub2b8ZffvkFn3/+Odq1a4f+/fujdevWqFmzJmJiYrBixQr07NmzNOIsNZxUTVKg0Wgwf/58scMgIvJabg+ZXbt2DbGxsQDs84WKbrN/5JFHsGXLFs9GVwa4jxkRERG5nRA98MADOHfuHACgXr16+OabbwDYe47K4229uUVDZpxUTUREJFluJ0T9+vXD/v37AQDjxo3DggULoNFoMHLkSIwePdrjAZa27EL7XWacVE2+rKCgACqVCiqVCgUFBWKHQ0TkddyeQzRy5EjHcfv27XHs2DHs3r0bNWrUQKNGjTwaXFngXWYkFUWbuxIRUXH3fbtJtWrVUK1aNU/EIoqine45h4h8mZ+fHy5duuQ4JiIiZyVKiD766KMSv+GIESPuOZiyZrRYYTDbAACBWiZE5LvkcjmqVKkidhhERF6rxHuZlYRMJitXCVGe4eYQQoCWa7MQERFJVYmygLNnz5Z2HKIousOsgkYJhVwmcjREpcdkMmHu3LkAgDfeeINbdxAR3ea+ukUEQQBg7xkqj3Jv9BBxUUbydWazGWPGjAEADBkyhAkREdFt3L7tHgCWLFmCuLg4aLVaaLVaxMXFYfHixZ6OrdQ5eog4XEY+TqlUok+fPujTpw+37iAicsHt34xvv/02Zs+ejeHDh6NFixYAgB07dmDkyJE4d+4cpkyZ4vEgS0vRHWbsISJfp9FosGzZMrHDICLyWm4nRAsXLsSnn36Kl19+2VHWrVs3NGzYEMOHDy9XCVHRpGreYUZERCRtbg+ZWa1WJCQkFCuPj48vdwu/5To2duUQAhERkZS5nRD16tULCxcuLFa+aNGicrfTvWPIjD1E5OMKCgoQHByM4OBgbt1BROTCPXWNLFmyBOvWrUPz5s0BADt37sTFixfRu3dvJCUlOerNmjXLM1GWktxC3mVG0pGTkyN2CEREXsvthOjQoUN46KGHAACnT58GAFSsWBEVK1bEoUOHHPXKw634N3uIOGRGvs3Pzw8nTpxwHBMRkTO3M4GNGzeWRhyiuDmHiD1E5NvkcjkefPBBscMgIvJabs8hunLlyh3PHThw4L6CKWuOhRnZQ0RERCRpbidEDRo0wM8//1ysfObMmXj44Yc9ElRZcfQQcVI1+Tiz2Yz58+dj/vz5MJvNYodDROR13E6I/vvf/6JHjx4YPHgwCgsLkZqaikcffRQffPABVq1aVRoxlhouzEhSYTKZMGzYMAwbNgwmk0nscIiIvI7bY0VvvvkmOnTogF69eqFhw4a4du0amjdvjgMHDiAiIqI0Yiw1jrvM2ENEPk6hUOD55593HBMRkbN7mjzzwAMPoH79+vj+++8BAC+++GK5S4bMVhsKzVYAXJiRfJ9Wq8W3334rdhhERF7L7SGzv/76Cw0bNsSpU6dw4MABLFy4EMOHD8eLL76I69evl0aMpSLfcHNV7QANEyIiIiIpczshevTRR9GjRw/s2LEDdevWxcCBA5GSkoJLly6hQYMGpRFjqcgz2hMif7UCSoXb3wYiIiLyIW53jaxbtw5t27Z1KqtRowa2bduGqVOneiyw0pZvKBou4/wh8n16vd6xDtHJkyeh0+lEjoiIyLu4nRDdngwVkcvlePvtt+87oLJSYLL3EHG4jKRAEARcvnzZcUxERM5KPFbUtWtXp72Qpk6diuzsbMfzrKws1KtXz6PBlaaCG0NmAVyUkSRAq9UiJSUFKSkp0Gq1YodDROR1SpwQrV27Fkaj0fH8vffew7Vr1xzPLRYLjh8/7tnoSlG+kT1EJB0KhQKNGzdG48aNeds9EZELJU6Ibu9mL+/d7kVDZhXYQ0RERCR5ks0GCow2AOwhImkwm81YsWIFAKBnz55QqXgzARHRrUqcDchkMshksmJl5VVRD5E/EyKSAJPJhH79+gEAXnjhBSZERES3KXE2IAgC+vbtC41GAwAwGAwYPHgw/P39AcBpfpE7FixYgA8++ABpaWmoX78+5syZg9atW7us+8MPP2DhwoXYt28fjEYj6tevj4kTJ6JTp05uf27RpOoKTIhIAhQKBbp27eo4JiIiZyXOBvr06eP0vFevXsXq9O7d260PX7VqFRITE7FgwQK0atUKn3zyCbp06YIjR46gWrVqxepv2bIFjz/+OKZNm4bg4GAsXboUTz31FP7++280adLErc8uWqmad5mRFGi1Wvz2229ih0FE5LVKnA0sXbrU4x8+a9YsDBgwAAMHDgQAzJkzB2vXrsXChQsxffr0YvXnzJnj9HzatGn46aef8Msvv7idEN1ch4hDB0RERFInWveIyWTCnj17MHbsWKfyjh07Yvv27SV6D5vNhry8PISGht6xjtFodBrOy83NBXCzh8hPaZ9w6uuK2iiFtt6K7Wa7pYDtZruloLTbK1pClJmZCavVioiICKfyiIgIpKenl+g9PvzwQxQUFODFF1+8Y53p06dj0qRJxcrTMrMB+OPowX2QX0pxJ/RyLTk5WewQRCH1dhuNRiQmJgKw97QWzQX0VVK/3lLDdkuDXq8v1fcXfQLN7XeqCYJQorvXvvrqK0ycOBE//fQTKlWqdMd648aNQ1JSkuN5bm4uoqOjIdf4AXqg/SPNkRATcu8NKCfMZjOSk5Px+OOPS+oOI7bb3u6CggKkpaUBsPfCFt0M4Wt4vdluKZBqu7Oyskr1/UVLiMLDw6FQKIr1BmVkZBTrNbrdqlWrMGDAAHz77bfo0KHDv9bVaDQu/xrWm6wA5Aj210rqB0qlUkmqvUWk3u4KFSpg27ZtAIAKFSr4/J1mUr/eUsN2S0Npt7XEK1V7mlqtRnx8fLEuv+TkZLRs2fKOr/vqq6/Qt29frFy5Ek888cQ9f36+yb7bPRdmJClQKBRo1aoVWrVq5fPJEBHRvRA1G0hKSsKrr76KhIQEtGjRAosWLcKFCxcwePBgAPbhrtTUVHz++ecA7MlQ7969MXfuXDRv3tzRu+Tn54egoCC3PttotkGu4dYdREREJHJC1KNHD2RlZWHy5MlIS0tDXFwc1qxZg5iYGABAWloaLly44Kj/ySefwGKxYOjQoRg6dKijvE+fPli2bNk9xcCVqkkKLBYLVq9eDQB45plnoFTy556I6Fai/1YcMmQIhgwZ4vLc7UnOpk2bPPrZGqUcKoVoo4ZEZcZoNDruxszPz2dCRER0G0n/VuRwGUmFXC5H27ZtHcdERORM0hkBJ1STVPj5+Xm8h5WIyJdI+k9F7mNGREREgNQTIvYQEREREZgQiR0CUZkoLCxE48aN0bhxYxQWFoodDhGR15F0RsBb7kkqbDYb9u/f7zgmIiJnks4IdGpJN58kRKvVYt26dY5jIiJyJumMIEDDLQxIGhQKBR5//HGxwyAi8lqSnkPEHiIiIiICJN5D5M8eIpIIi8WCtWvXAgA6derElaqJiG4j6d+K7CEiqTAajXjyyScBcOsOIiJXJP1bkT1EJBVyuRwJCQmOYyIicibphIg9RCQVfn5+2LVrl9hhEBF5LUn/qejPhIiIiIgg8YRIxyEzIiIigsQTIvYQkVQUFhaiVatWaNWqFbfuICJyQdIZASdVk1TYbDZs377dcUxERM6knRCxh4gkQqPRYPXq1Y5jIiJyJumMgHOISCqUSiW6d+8udhhERF5LsnOIlHIZ1ArJNp+IiIhuIdkeIj+1HDKZTOwwiMqE1WrF1q1bAQCtW7eGQsHeUSKiW0k3IVLxPwSSDoPBgPbt2wOwb93h7+8vckRERN5FsgkRV6kmKZHJZKhXr57jmIiInEk2K9Cp2UNE0qHT6XD48GGxwyAi8lqSnVXMhIiIiIiKSDYh8mNCRERERDdINiHy56RqkpDCwkI8/vjjePzxx7l1BxGRC9KdQ8RFGUlCbDYb1q9f7zgmIiJnkk2I/HiXGUmIRqPBl19+6TgmIiJnks0KdBwyIwlRKpXo2bOn2GEQEXktyc4h4qRqIiIiKiLZHqIgP8k2nSTIarVi7969AICHHnqIW3cQEd1GslnBs02qiB0CUZkxGAxo1qwZAG7dQUTkimQTIiIpkclkiImJcRwTEZEzJkREEqDT6XDu3DmxwyAi8lqSnVRNREREVIQJEREREUkeEyIiCTAYDOjevTu6d+8Og8EgdjhERF6Hc4iIJMBqteKnn35yHBMRkTMmREQSoFarsWjRIscxERE5Y0JEJAEqlQqDBg0SOwwiIq/FOUREREQkeewhIpIAm82Go0ePAgDq1q0LuZx/CxER3YoJEZEEFBYWIi4uDgC37iAicoUJEZFEhIeHix0CEZHXYkJEJAH+/v64evWq2GEQEXktTiQgIiIiyWNCRERERJLHhIhIAgwGA3r27ImePXty6w4iIheYEBFJgNVqxcqVK7Fy5Upu3UFE5AInVRNJgFqtxuzZsx3HRETkjAkRkQSoVCokJiaKHQYRkdfikBkRERFJHnuIiCTAZrPhwoULAIBq1apx6w4iotswISKSgMLCQsTGxgLg1h1ERK4wISKSCJ1OJ3YIREReiwkRkQT4+/ujoKBA7DCIiLwWJxIQERGR5DEhIiIiIsljQkQkAUajEYMGDcKgQYNgNBrFDoeIyOswISKSAIvFgsWLF2Px4sWwWCxih0NE5HU4qZpIAlQqFaZMmeI4JiIiZ0yIiCRArVZj/PjxYodBROS1RB8yW7BgAWJjY6HVahEfH4+tW7f+a/3NmzcjPj4eWq0WDzzwAD7++OMyipSIiIh8lagJ0apVq5CYmIjx48cjJSUFrVu3RpcuXRxbDNzu7Nmz6Nq1K1q3bo2UlBS89dZbGDFiBL7//vsyjpyofBEEAVevXsXVq1chCILY4RAReR1RE6JZs2ZhwIABGDhwIOrWrYs5c+YgOjoaCxcudFn/448/RrVq1TBnzhzUrVsXAwcORP/+/TFz5swyjpyofNHr9ahUqRIqVaoEvV4vdjhERF5HtDlEJpMJe/bswdixY53KO3bsiO3bt7t8zY4dO9CxY0ensk6dOmHJkiUwm80uJ4sajUan24xzcnIAANeuXbvfJpQrZrMZer0eWVlZkppUy3bb233rKtVZWVkwGAwiRld6eL3ZbimQaruL/t8urV5u0RKizMxMWK1WREREOJVHREQgPT3d5WvS09Nd1rdYLMjMzERkZGSx10yfPh2TJk0qVl6rVq37iJ6o/IqJiRE7BCKie5aVlYWgoCCPv6/od5nJZDKn54IgFCu7W31X5UXGjRuHpKQkx/Ps7GzExMTgwoULpfIN9Va5ubmIjo7GxYsXERgYKHY4ZYbtZrulgO1mu6UgJycH1apVQ2hoaKm8v2gJUXh4OBQKRbHeoIyMjGK9QEUqV67ssr5SqURYWJjL12g0Gmg0mmLlQUFBkvpBKhIYGMh2SwjbLS1st7RItd1yeelMfxZtUrVarUZ8fDySk5OdypOTk9GyZUuXr2nRokWx+uvWrUNCQoKkxlGJiIjIs0S9yywpKQmLFy/GZ599hqNHj2LkyJG4cOECBg8eDMA+3NW7d29H/cGDB+P8+fNISkrC0aNH8dlnn2HJkiUYNWqUWE0gIiIiHyDqHKIePXogKysLkydPRlpaGuLi4rBmzRrHpM+0tDSnNYliY2OxZs0ajBw5EvPnz0dUVBQ++ugjPPfccyX+TI1GgwkTJrgcRvNlbDfbLQVsN9stBWx36bRbJnCVNiIiIpI40bfuICIiIhIbEyIiIiKSPCZEREREJHlMiIiIiEjyJJcQLViwALGxsdBqtYiPj8fWrVvFDsmjJk6cCJlM5vSoXLmy47wgCJg4cSKioqLg5+eHdu3a4fDhwyJGfG+2bNmCp556ClFRUZDJZPjxxx+dzpeknUajEcOHD0d4eDj8/f3RrVs3XLp0qQxb4b67tbtv377Frn/z5s2d6pS3dk+fPh1NmzZFhQoVUKlSJXTv3h3Hjx93quOL17sk7fbF671w4UI0bNjQsehgixYt8PvvvzvO++K1Bu7ebl+81q5Mnz4dMpkMiYmJjrKyuuaSSohWrVqFxMREjB8/HikpKWjdujW6dOnidGu/L6hfvz7S0tIcj4MHDzrOvf/++5g1axbmzZuHXbt2oXLlynj88ceRl5cnYsTuKygoQKNGjTBv3jyX50vSzsTERKxevRpff/01tm3bhvz8fDz55JOwWq1l1Qy33a3dANC5c2en679mzRqn8+Wt3Zs3b8bQoUOxc+dOJCcnw2KxoGPHjk4b1vri9S5JuwHfu95Vq1bFjBkzsHv3buzevRuPPvoonn76acd/gL54rYG7txvwvWt9u127dmHRokVo2LChU3mZXXNBQpo1ayYMHjzYqaxOnTrC2LFjRYrI8yZMmCA0atTI5TmbzSZUrlxZmDFjhqPMYDAIQUFBwscff1xGEXoeAGH16tWO5yVpZ3Z2tqBSqYSvv/7aUSc1NVWQy+XCH3/8UWax34/b2y0IgtCnTx/h6aefvuNrfKHdGRkZAgBh8+bNgiBI53rf3m5BkMb1FgRBCAkJERYvXiyZa12kqN2C4PvXOi8vT3jwwQeF5ORkoW3btsIbb7whCELZ/vuWTA+RyWTCnj170LFjR6fyjh07Yvv27SJFVTpOnjyJqKgoxMbG4qWXXsKZM2cAAGfPnkV6errT90Cj0aBt27Y+9T0oSTv37NkDs9nsVCcqKgpxcXHl/nuxadMmVKpUCbVq1cKgQYOQkZHhOOcL7c7JyQEAxwaPUrnet7e7iC9fb6vViq+//hoFBQVo0aKFZK717e0u4svXeujQoXjiiSfQoUMHp/KyvOai73ZfVjIzM2G1WottHBsREVFsw9jy7OGHH8bnn3+OWrVq4cqVK5gyZQpatmyJw4cPO9rp6ntw/vx5McItFSVpZ3p6OtRqNUJCQorVKc8/D126dMELL7yAmJgYnD17Fm+//TYeffRR7NmzBxqNpty3WxAEJCUl4ZFHHkFcXBwAaVxvV+0GfPd6Hzx4EC1atIDBYEBAQABWr16NevXqOf5z89Vrfad2A757rQHg66+/xt69e7Fr165i58ry37dkEqIiMpnM6bkgCMXKyrMuXbo4jhs0aIAWLVqgRo0aWL58uWMCnq9/D4rcSzvL+/eiR48ejuO4uDgkJCQgJiYGv/32G5599tk7vq68tHvYsGE4cOAAtm3bVuycL1/vO7XbV6937dq1sW/fPmRnZ+P7779Hnz59sHnzZsd5X73Wd2p3vXr1fPZaX7x4EW+88QbWrVsHrVZ7x3plcc0lM2QWHh4OhUJRLFvMyMgolnn6En9/fzRo0AAnT5503G3m69+DkrSzcuXKMJlMuH79+h3r+ILIyEjExMTg5MmTAMp3u4cPH46ff/4ZGzduRNWqVR3lvn6979RuV3zleqvVatSsWRMJCQmYPn06GjVqhLlz5/r8tb5Tu13xlWu9Z88eZGRkID4+HkqlEkqlEps3b8ZHH30EpVLpiL0srrlkEiK1Wo34+HgkJyc7lScnJ6Nly5YiRVX6jEYjjh49isjISMTGxqJy5cpO3wOTyYTNmzf71PegJO2Mj4+HSqVyqpOWloZDhw751PciKysLFy9eRGRkJIDy2W5BEDBs2DD88MMP2LBhA2JjY53O++r1vlu7XfGF6+2KIAgwGo0+e63vpKjdrvjKtX7sscdw8OBB7Nu3z/FISEhAz549sW/fPjzwwANld83vYTJ4ufX1118LKpVKWLJkiXDkyBEhMTFR8Pf3F86dOyd2aB7z5ptvCps2bRLOnDkj7Ny5U3jyySeFChUqONo4Y8YMISgoSPjhhx+EgwcPCi+//LIQGRkp5Obmihy5e/Ly8oSUlBQhJSVFACDMmjVLSElJEc6fPy8IQsnaOXjwYKFq1arC+vXrhb179wqPPvqo0KhRI8FisYjVrLv6t3bn5eUJb775prB9+3bh7NmzwsaNG4UWLVoIVapUKdftfv3114WgoCBh06ZNQlpamuOh1+sddXzxet+t3b56vceNGyds2bJFOHv2rHDgwAHhrbfeEuRyubBu3TpBEHzzWgvCv7fbV6/1ndx6l5kglN01l1RCJAiCMH/+fCEmJkZQq9XCQw895HQLqy/o0aOHEBkZKahUKiEqKkp49tlnhcOHDzvO22w2YcKECULlypUFjUYjtGnTRjh48KCIEd+bjRs3CgCKPfr06SMIQsnaWVhYKAwbNkwIDQ0V/Pz8hCeffFK4cOGCCK0puX9rt16vFzp27ChUrFhRUKlUQrVq1YQ+ffoUa1N5a7er9gIQli5d6qjji9f7bu321evdv39/x+/oihUrCo899pgjGRIE37zWgvDv7fbVa30ntydEZXXNZYIgCG73cRERERH5EMnMISIiIiK6EyZEREREJHlMiIiIiEjymBARERGR5DEhIiIiIsljQkRERESSx4SIiIiIJI8JERGJZtOmTZDJZMjOzhY7lH81ceJENG7cWOwwiKgUMSEiIpf69u0LmUyGGTNmOJX/+OOPd91Bunr16pDJZJDJZPDz80P16tXx4osvYsOGDU71WrZsibS0NAQFBXk8fk8aNWoU/vzzT7HDIKJSxISIiO5Iq9XivffeK7aLdElMnjwZaWlpOH78OD7//HMEBwejQ4cOmDp1qqOOWq1G5cqV75pgiS0gIABhYWFih0FEpYgJERHdUYcOHVC5cmVMnz7d7ddWqFABlStXRrVq1dCmTRssWrQIb7/9Nt555x0cP34cQPEhs2XLliE4OBi//vorateuDZ1Oh+effx4FBQVYvnw5qlevjpCQEAwfPhxWq9XxWSaTCWPGjEGVKlXg7++Phx9+GJs2bXKcL3rftWvXom7duggICEDnzp2RlpbmqLNp0yY0a9YM/v7+CA4ORqtWrXD+/HkAxYfMbDYbJk+ejKpVq0Kj0aBx48b4448/HOfPnTsHmUyGH374Ae3bt4dOp0OjRo2wY8cOR53z58/jqaeeQkhICPz9/VG/fn2sWbPG7e8zEXkGEyIiuiOFQoFp06bh//7v/3Dp0qX7fr833ngDgiDgp59+umMdvV6Pjz76CF9//TX++OMPbNq0Cc8++yzWrFmDNWvW4IsvvsCiRYvw3XffOV7Tr18//PXXX/j6669x4MABvPDCC+jcuTNOnjzp9L4zZ87EF198gS1btuDChQsYNWoUAMBisaB79+5o27YtDhw4gB07duA///nPHXuu5s6diw8//BAzZ87EgQMH0KlTJ3Tr1s3p8wBg/PjxGDVqFPbt24datWrh5ZdfhsViAQAMHToURqMRW7ZswcGDB/Hee+8hICDgnr+3RHSf7ntbWiLySX369BGefvppQRAEoXnz5kL//v0FQRCE1atXC3f71RETEyPMnj3b5bmIiAjh9ddfFwRBEDZu3CgAEK5fvy4IgiAsXbpUACCcOnXKUf+1114TdDqdkJeX5yjr1KmT8NprrwmCIAinTp0SZDKZkJqa6vQ5jz32mDBu3Lg7vu/8+fOFiIgIQRAEISsrSwAgbNq0yWXMEyZMEBo1auR4HhUVJUydOtWpTtOmTYUhQ4YIgiAIZ8+eFQAIixcvdpw/fPiwAEA4evSoIAiC0KBBA2HixIkuP4+Iyh57iIjort577z0sX74cR44cue/3EgThX+cM6XQ61KhRw/E8IiIC1atXd+o9iYiIQEZGBgBg7969EAQBtWrVQkBAgOOxefNmnD59+o7vGxkZ6XiP0NBQ9O3bF506dcJTTz2FuXPnOg2n3So3NxeXL19Gq1atnMpbtWqFo0ePOpU1bNjQ6fMAOD5zxIgRmDJlClq1aoUJEybgwIEDd/yeEFHpY0JERHfVpk0bdOrUCW+99dZ9vU9WVhauXr2K2NjYO9ZRqVROz2Uymcsym80GwD6fR6FQYM+ePdi3b5/jcfToUcydO/df31cQBMfzpUuXYseOHWjZsiVWrVqFWrVqYefOnXeM8/akzlWid+tnFp0rinvgwIE4c+YMXn31VRw8eBAJCQn4v//7vzt+HhGVLiZERFQiM2bMwC+//ILt27ff83vMnTsXcrkc3bt391hcTZo0gdVqRUZGBmrWrOn0qFy5stvvNW7cOGzfvh1xcXFYuXJlsTqBgYGIiorCtm3bnMq3b9+OunXruvV50dHRGDx4MH744Qe8+eab+PTTT916PRF5jlLsAIiofGjQoAF69uxZ4l6MvLw8pKenw2w24+zZs/jyyy+xePFiTJ8+HTVr1vRYXLVq1ULPnj3Ru3dvfPjhh2jSpAkyMzOxYcMGNGjQAF27dr3re5w9exaLFi1Ct27dEBUVhePHj+PEiRPo3bu3y/qjR4/GhAkTUKNGDTRu3BhLly7Fvn37sGLFihLHnZiYiC5duqBWrVq4fv06NmzY4HZCRUSew4SIiErs3XffxTfffFOiuu+88w7eeecdx1pDzZs3x59//on27dt7PK6lS5diypQpePPNN5GamoqwsDC0aNGiRMkQYJ9fdOzYMSxfvhxZWVmIjIzEsGHD8Nprr7msP2LECOTm5uLNN99ERkYG6tWrh59//hkPPvhgiWO2Wq0YOnQoLl26hMDAQHTu3BmzZ88u8euJyLNkwq2D6EREREQSxDlEREREJHlMiIiIiEjymBARERGR5DEhIiIiIsljQkRERESSx4SIiIiIJI8JEREREUkeEyIiIiKSPCZEREREJHlMiIiIiEjymBARERGR5DEhIiIiIsn7f37VnXUfmpKWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Yet another option is to plot the explained variance as a function of the number \n",
    "#of dimensions (simply plot cumsum; see Figure 8-8). There will usually be an elbow \n",
    "#in the curve, where the explained variance stops growing fast. In this case, you can\n",
    "#see that reducing the dimensionality down to about 100 dimensions wouldn’t lose too much explained variance.\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(cumsum)\n",
    "plt.grid(True)\n",
    "plt.ylabel(\"Explained Variance Cumulative\")\n",
    "plt.xlabel(\"N Dimensions\")\n",
    "plt.axis([0, 400, 0, 1])\n",
    "plt.plot([d, d], [0, 0.95], \"k:\")\n",
    "plt.plot([0, d], [0.95, 0.95], \"k:\")\n",
    "plt.plot(d, 0.95, \"ko\")\n",
    "plt.annotate(\"Elbow\", xy=(65, 0.85), xytext=(70, 0.7),\n",
    "             arrowprops=dict(arrowstyle=\"->\"))\n",
    "plt.show()\n",
    "\n",
    "#for straight lines:\n",
    "#plot([x1, x2], [y1, y2], color='k', linestyle='-', linewidth=2)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fde28e1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>RandomizedSearchCV(cv=3,\n",
       "                   estimator=Pipeline(steps=[(&#x27;pca&#x27;, PCA(random_state=42)),\n",
       "                                             (&#x27;randomforestclassifier&#x27;,\n",
       "                                              RandomForestClassifier(random_state=42))]),\n",
       "                   param_distributions={&#x27;pca__n_components&#x27;: array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n",
       "       27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n",
       "       44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,\n",
       "       6...\n",
       "       414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426,\n",
       "       427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439,\n",
       "       440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452,\n",
       "       453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465,\n",
       "       466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478,\n",
       "       479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491,\n",
       "       492, 493, 494, 495, 496, 497, 498, 499])},\n",
       "                   random_state=42)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" ><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">RandomizedSearchCV</label><div class=\"sk-toggleable__content\"><pre>RandomizedSearchCV(cv=3,\n",
       "                   estimator=Pipeline(steps=[(&#x27;pca&#x27;, PCA(random_state=42)),\n",
       "                                             (&#x27;randomforestclassifier&#x27;,\n",
       "                                              RandomForestClassifier(random_state=42))]),\n",
       "                   param_distributions={&#x27;pca__n_components&#x27;: array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n",
       "       27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n",
       "       44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,\n",
       "       6...\n",
       "       414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426,\n",
       "       427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439,\n",
       "       440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452,\n",
       "       453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465,\n",
       "       466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478,\n",
       "       479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491,\n",
       "       492, 493, 494, 495, 496, 497, 498, 499])},\n",
       "                   random_state=42)</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" ><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: Pipeline</label><div class=\"sk-toggleable__content\"><pre>Pipeline(steps=[(&#x27;pca&#x27;, PCA(random_state=42)),\n",
       "                (&#x27;randomforestclassifier&#x27;,\n",
       "                 RandomForestClassifier(random_state=42))])</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" ><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">PCA</label><div class=\"sk-toggleable__content\"><pre>PCA(random_state=42)</pre></div></div></div><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" ><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">RandomForestClassifier</label><div class=\"sk-toggleable__content\"><pre>RandomForestClassifier(random_state=42)</pre></div></div></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "RandomizedSearchCV(cv=3,\n",
       "                   estimator=Pipeline(steps=[('pca', PCA(random_state=42)),\n",
       "                                             ('randomforestclassifier',\n",
       "                                              RandomForestClassifier(random_state=42))]),\n",
       "                   param_distributions={'pca__n_components': array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n",
       "       27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n",
       "       44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,\n",
       "       6...\n",
       "       414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426,\n",
       "       427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439,\n",
       "       440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452,\n",
       "       453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465,\n",
       "       466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478,\n",
       "       479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491,\n",
       "       492, 493, 494, 495, 496, 497, 498, 499])},\n",
       "                   random_state=42)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Lastly, if you are using dimensionality reduction as a preprocessing step for a supervised learning task\n",
    "#(e.g., classification), then you can tune the number of dimensions as you would any other hyperparameter (see\n",
    "#Chapter 2). For example, the following code example creates a two-step pipeline, first reducing \n",
    "#dimensionality using PCA, then classifying using a random forest. Next, it uses RandomizedSearchCV\n",
    "#to find a good combination of hyperparameters for both PCA and the random forest classifier. This\n",
    "#example does a quick search, tuning only 2 hyperparameters, training on just 1,000 instances,\n",
    "#and running for just 10 iterations, but feel free to do a more thorough search if you have the time:\n",
    "    \n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import RandomizedSearchCV\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "clf = make_pipeline(PCA(random_state=42),\n",
    "                   RandomForestClassifier(random_state=42))\n",
    "\n",
    "param_distrib = {\n",
    "        \"pca__n_components\": np.arange(10, 80),\n",
    "        \"randomforestclassifier__n_estimators\": np.arange(50, 500)\n",
    "}\n",
    "\n",
    "\n",
    "rnd_search = RandomizedSearchCV(clf, param_distrib, n_iter=10, cv=3,\n",
    "                               random_state=42)\n",
    "\n",
    "rnd_search.fit(X_train[:1000], y_train[:1000])\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e1cb1d98",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'randomforestclassifier__n_estimators': 465, 'pca__n_components': 23}\n"
     ]
    }
   ],
   "source": [
    "print(rnd_search.best_params_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "70f55d87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.64687454e-14,  2.25291411e-12,  2.21555093e-13, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 1.64609603e-15,  5.93995586e-13,  1.72049698e-13, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 2.28377776e-15,  1.12262896e-13, -2.32068544e-13, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       ...,\n",
       "       [ 8.88183138e-15,  8.62393210e-13, -4.51056315e-14, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [-1.07364675e-16, -8.21993486e-14,  4.99641520e-14, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 1.73667409e-15, -1.22800050e-13,  9.64210425e-14, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00]])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#It’s interesting to note how low the optimal number of components is: we reduced a \n",
    "#784-dimensional dataset to just 23 dimensions! This is tied to the fact that we \n",
    "#used a random forest, which is a pretty powerful model. If we used a linear model \n",
    "#instead, such as an SGDClassifier, the search would find that we need to preserve more dimensions (about 70).\n",
    "\n",
    "\n",
    "#PCA for Compression\n",
    "#After dimensionality reduction, the training set takes up much less space. For example, after applying PCA \n",
    "#to the MNIST dataset while preserving 95% of its variance, we are left with 154 features, instead of the \n",
    "#original 784 features. So the dataset is now less than 20% of its original size, and we only lost 5% of its\n",
    "#variance! This is a reasonable compression ratio, and it’s easy to see how such a size reduction would speed up\n",
    "#a classification algorithm tremendously.\n",
    "\n",
    "#It is also possible to decompress the reduced dataset back to 784 dimensions by applying the inverse\n",
    "#transformation of the PCA projection. This won’t give you back the original data, since the projection\n",
    "#lost a bit of information (within the 5% variance that was dropped), but it will likely be close to the\n",
    "#original data. The mean squared distance between the original data and the reconstructed data (compressed\n",
    "#and then decompressed) is called the reconstruction error.\n",
    "\n",
    "\n",
    "#The inverse_transform() method lets us decompress the reduced MNIST dataset back to 784 dimensions:\n",
    "\n",
    "\n",
    "X_recovered = pca.inverse_transform(X_reduced)\n",
    "\n",
    "\n",
    "#Figure 8-9 shows a few digits from the original training set (on the left), and\n",
    "#the corresponding digits after compression and decompression. You can see\n",
    "#that there is a slight image quality loss, but the digits are still mostly intact.\n",
    "#The equation for the inverse transformation is shown in Equation 8-3.\n",
    "\n",
    "X_recovered"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "3f4367f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "#If you set the svd_solver hyperparameter to \"randomized\", Scikit-Learn\n",
    "#uses a stochastic algorithm called randomized PCA that quickly finds an\n",
    "#approximation of the first d principal components. Its computational complexity is O(m × d2) + O(d3), \n",
    "#instead of O(m × n2) + O(n3) for the full\n",
    "#SVD approach, so it is dramatically faster than full SVD when d is much smaller than n:\n",
    "\n",
    "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n",
    "X_reduced = rnd_pca.fit_transform(X_train)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "49962c57",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Incremental PCA\n",
    "\n",
    "\n",
    "#One problem with the preceding implementations of PCA is that they require the whole \n",
    "#training set to fit in memory in order for the algorithm to run. Fortunately, incremental PCA\n",
    "#(IPCA) algorithms have been developed that allow you to split the training set into mini-batches\n",
    "#and feed these in one mini-batch at a time. This is useful for large training sets and for applying\n",
    "#PCA online (i.e., on the fly, as new instances arrive).\n",
    "\n",
    "#The following code splits the MNIST training set into 100 mini-batches (using NumPy’s array_split()\n",
    "#function) and feeds them to Scikit-Learn’s IncrementalPCA class5 to reduce the dimensionality of the\n",
    "#MNIST dataset down to 154 dimensions, just like before. Note that you must call the partial_fit()\n",
    "#method with each mini-batch, rather than the fit() method with the whole training set:\n",
    "\n",
    "\n",
    "from sklearn.decomposition import IncrementalPCA\n",
    "\n",
    "n_batches = 100\n",
    "inc_pca = IncrementalPCA(n_components=154)\n",
    "\n",
    "for X_batch in np.array_split(X_train, n_batches):\n",
    "    inc_pca.partial_fit(X_batch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "28c10875",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_reduced = inc_pca.transform(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "d87c8350",
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
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       " 1197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 600       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 601       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 602       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 603       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 604       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 1195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 600        0.0       0.0       0.0       0.0       0.0  \n",
       " 601        0.0       0.0       0.0       0.0       0.0  \n",
       " 602        0.0       0.0       0.0       0.0       0.0  \n",
       " 603        0.0       0.0       0.0       0.0       0.0  \n",
       " 604        0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 1195       0.0       0.0       0.0       0.0       0.0  \n",
       " 1196       0.0       0.0       0.0       0.0       0.0  \n",
       " 1197       0.0       0.0       0.0       0.0       0.0  \n",
       " 1198       0.0       0.0       0.0       0.0       0.0  \n",
       " 1199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 1200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 1795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 1200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 1795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 1200       0.0       0.0       0.0       0.0       0.0  \n",
       " 1201       0.0       0.0       0.0       0.0       0.0  \n",
       " 1202       0.0       0.0       0.0       0.0       0.0  \n",
       " 1203       0.0       0.0       0.0       0.0       0.0  \n",
       " 1204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 1795       0.0       0.0       0.0       0.0       0.0  \n",
       " 1796       0.0       0.0       0.0       0.0       0.0  \n",
       " 1797       0.0       0.0       0.0       0.0       0.0  \n",
       " 1798       0.0       0.0       0.0       0.0       0.0  \n",
       " 1799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 1800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 1804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 2395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 1800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 1804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 2395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 1800       0.0       0.0       0.0       0.0       0.0  \n",
       " 1801       0.0       0.0       0.0       0.0       0.0  \n",
       " 1802       0.0       0.0       0.0       0.0       0.0  \n",
       " 1803       0.0       0.0       0.0       0.0       0.0  \n",
       " 1804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 2395       0.0       0.0       0.0       0.0       0.0  \n",
       " 2396       0.0       0.0       0.0       0.0       0.0  \n",
       " 2397       0.0       0.0       0.0       0.0       0.0  \n",
       " 2398       0.0       0.0       0.0       0.0       0.0  \n",
       " 2399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 2400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 2995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 2999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 2400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 2995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 2999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 2400       0.0       0.0       0.0       0.0       0.0  \n",
       " 2401       0.0       0.0       0.0       0.0       0.0  \n",
       " 2402       0.0       0.0       0.0       0.0       0.0  \n",
       " 2403       0.0       0.0       0.0       0.0       0.0  \n",
       " 2404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 2995       0.0       0.0       0.0       0.0       0.0  \n",
       " 2996       0.0       0.0       0.0       0.0       0.0  \n",
       " 2997       0.0       0.0       0.0       0.0       0.0  \n",
       " 2998       0.0       0.0       0.0       0.0       0.0  \n",
       " 2999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 3000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 3595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 3000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 3595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 3000       0.0       0.0       0.0       0.0       0.0  \n",
       " 3001       0.0       0.0       0.0       0.0       0.0  \n",
       " 3002       0.0       0.0       0.0       0.0       0.0  \n",
       " 3003       0.0       0.0       0.0       0.0       0.0  \n",
       " 3004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 3595       0.0       0.0       0.0       0.0       0.0  \n",
       " 3596       0.0       0.0       0.0       0.0       0.0  \n",
       " 3597       0.0       0.0       0.0       0.0       0.0  \n",
       " 3598       0.0       0.0       0.0       0.0       0.0  \n",
       " 3599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 3600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 3604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 4195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 3600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 3604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 4195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 3600       0.0       0.0       0.0       0.0       0.0  \n",
       " 3601       0.0       0.0       0.0       0.0       0.0  \n",
       " 3602       0.0       0.0       0.0       0.0       0.0  \n",
       " 3603       0.0       0.0       0.0       0.0       0.0  \n",
       " 3604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 4195       0.0       0.0       0.0       0.0       0.0  \n",
       " 4196       0.0       0.0       0.0       0.0       0.0  \n",
       " 4197       0.0       0.0       0.0       0.0       0.0  \n",
       " 4198       0.0       0.0       0.0       0.0       0.0  \n",
       " 4199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 4200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 4795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 4200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 4795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 4200       0.0       0.0       0.0       0.0       0.0  \n",
       " 4201       0.0       0.0       0.0       0.0       0.0  \n",
       " 4202       0.0       0.0       0.0       0.0       0.0  \n",
       " 4203       0.0       0.0       0.0       0.0       0.0  \n",
       " 4204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 4795       0.0       0.0       0.0       0.0       0.0  \n",
       " 4796       0.0       0.0       0.0       0.0       0.0  \n",
       " 4797       0.0       0.0       0.0       0.0       0.0  \n",
       " 4798       0.0       0.0       0.0       0.0       0.0  \n",
       " 4799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 4800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 4804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 5395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 4800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 4804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 5395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 4800       0.0       0.0       0.0       0.0       0.0  \n",
       " 4801       0.0       0.0       0.0       0.0       0.0  \n",
       " 4802       0.0       0.0       0.0       0.0       0.0  \n",
       " 4803       0.0       0.0       0.0       0.0       0.0  \n",
       " 4804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 5395       0.0       0.0       0.0       0.0       0.0  \n",
       " 5396       0.0       0.0       0.0       0.0       0.0  \n",
       " 5397       0.0       0.0       0.0       0.0       0.0  \n",
       " 5398       0.0       0.0       0.0       0.0       0.0  \n",
       " 5399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 5400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 5995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 5999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 5400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 5995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 5999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 5400       0.0       0.0       0.0       0.0       0.0  \n",
       " 5401       0.0       0.0       0.0       0.0       0.0  \n",
       " 5402       0.0       0.0       0.0       0.0       0.0  \n",
       " 5403       0.0       0.0       0.0       0.0       0.0  \n",
       " 5404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 5995       0.0       0.0       0.0       0.0       0.0  \n",
       " 5996       0.0       0.0       0.0       0.0       0.0  \n",
       " 5997       0.0       0.0       0.0       0.0       0.0  \n",
       " 5998       0.0       0.0       0.0       0.0       0.0  \n",
       " 5999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 6000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 6595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 6000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 6595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 6000       0.0       0.0       0.0       0.0       0.0  \n",
       " 6001       0.0       0.0       0.0       0.0       0.0  \n",
       " 6002       0.0       0.0       0.0       0.0       0.0  \n",
       " 6003       0.0       0.0       0.0       0.0       0.0  \n",
       " 6004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 6595       0.0       0.0       0.0       0.0       0.0  \n",
       " 6596       0.0       0.0       0.0       0.0       0.0  \n",
       " 6597       0.0       0.0       0.0       0.0       0.0  \n",
       " 6598       0.0       0.0       0.0       0.0       0.0  \n",
       " 6599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 6600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 6604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 7195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 6600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 6604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 7195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 6600       0.0       0.0       0.0       0.0       0.0  \n",
       " 6601       0.0       0.0       0.0       0.0       0.0  \n",
       " 6602       0.0       0.0       0.0       0.0       0.0  \n",
       " 6603       0.0       0.0       0.0       0.0       0.0  \n",
       " 6604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 7195       0.0       0.0       0.0       0.0       0.0  \n",
       " 7196       0.0       0.0       0.0       0.0       0.0  \n",
       " 7197       0.0       0.0       0.0       0.0       0.0  \n",
       " 7198       0.0       0.0       0.0       0.0       0.0  \n",
       " 7199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 7200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 7795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 7200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 7795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 7200       0.0       0.0       0.0       0.0       0.0  \n",
       " 7201       0.0       0.0       0.0       0.0       0.0  \n",
       " 7202       0.0       0.0       0.0       0.0       0.0  \n",
       " 7203       0.0       0.0       0.0       0.0       0.0  \n",
       " 7204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 7795       0.0       0.0       0.0       0.0       0.0  \n",
       " 7796       0.0       0.0       0.0       0.0       0.0  \n",
       " 7797       0.0       0.0       0.0       0.0       0.0  \n",
       " 7798       0.0       0.0       0.0       0.0       0.0  \n",
       " 7799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 7800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 7804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 8395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 7800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 7804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 8395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 7800       0.0       0.0       0.0       0.0       0.0  \n",
       " 7801       0.0       0.0       0.0       0.0       0.0  \n",
       " 7802       0.0       0.0       0.0       0.0       0.0  \n",
       " 7803       0.0       0.0       0.0       0.0       0.0  \n",
       " 7804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 8395       0.0       0.0       0.0       0.0       0.0  \n",
       " 8396       0.0       0.0       0.0       0.0       0.0  \n",
       " 8397       0.0       0.0       0.0       0.0       0.0  \n",
       " 8398       0.0       0.0       0.0       0.0       0.0  \n",
       " 8399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 8400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 8995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 8999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 8400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 8995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 8999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 8400       0.0       0.0       0.0       0.0       0.0  \n",
       " 8401       0.0       0.0       0.0       0.0       0.0  \n",
       " 8402       0.0       0.0       0.0       0.0       0.0  \n",
       " 8403       0.0       0.0       0.0       0.0       0.0  \n",
       " 8404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 8995       0.0       0.0       0.0       0.0       0.0  \n",
       " 8996       0.0       0.0       0.0       0.0       0.0  \n",
       " 8997       0.0       0.0       0.0       0.0       0.0  \n",
       " 8998       0.0       0.0       0.0       0.0       0.0  \n",
       " 8999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "       pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 9000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 9595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "       pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 9000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...       ...  ...       ...       ...       ...       ...       ...   \n",
       " 9595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "       pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 9000       0.0       0.0       0.0       0.0       0.0  \n",
       " 9001       0.0       0.0       0.0       0.0       0.0  \n",
       " 9002       0.0       0.0       0.0       0.0       0.0  \n",
       " 9003       0.0       0.0       0.0       0.0       0.0  \n",
       " 9004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...        ...       ...       ...       ...       ...  \n",
       " 9595       0.0       0.0       0.0       0.0       0.0  \n",
       " 9596       0.0       0.0       0.0       0.0       0.0  \n",
       " 9597       0.0       0.0       0.0       0.0       0.0  \n",
       " 9598       0.0       0.0       0.0       0.0       0.0  \n",
       " 9599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 9600      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9601      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9602      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9603      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 9604      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 10195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 9600       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9601       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9602       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9603       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 9604       0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 10195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 9600        0.0       0.0       0.0       0.0       0.0  \n",
       " 9601        0.0       0.0       0.0       0.0       0.0  \n",
       " 9602        0.0       0.0       0.0       0.0       0.0  \n",
       " 9603        0.0       0.0       0.0       0.0       0.0  \n",
       " 9604        0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 10195       0.0       0.0       0.0       0.0       0.0  \n",
       " 10196       0.0       0.0       0.0       0.0       0.0  \n",
       " 10197       0.0       0.0       0.0       0.0       0.0  \n",
       " 10198       0.0       0.0       0.0       0.0       0.0  \n",
       " 10199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 10200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 10795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 10200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 10795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 10200       0.0       0.0       0.0       0.0       0.0  \n",
       " 10201       0.0       0.0       0.0       0.0       0.0  \n",
       " 10202       0.0       0.0       0.0       0.0       0.0  \n",
       " 10203       0.0       0.0       0.0       0.0       0.0  \n",
       " 10204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 10795       0.0       0.0       0.0       0.0       0.0  \n",
       " 10796       0.0       0.0       0.0       0.0       0.0  \n",
       " 10797       0.0       0.0       0.0       0.0       0.0  \n",
       " 10798       0.0       0.0       0.0       0.0       0.0  \n",
       " 10799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 10800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 10804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 11395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 10800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 10804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 11395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 10800       0.0       0.0       0.0       0.0       0.0  \n",
       " 10801       0.0       0.0       0.0       0.0       0.0  \n",
       " 10802       0.0       0.0       0.0       0.0       0.0  \n",
       " 10803       0.0       0.0       0.0       0.0       0.0  \n",
       " 10804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 11395       0.0       0.0       0.0       0.0       0.0  \n",
       " 11396       0.0       0.0       0.0       0.0       0.0  \n",
       " 11397       0.0       0.0       0.0       0.0       0.0  \n",
       " 11398       0.0       0.0       0.0       0.0       0.0  \n",
       " 11399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 11400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 11995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 11999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 11400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 11995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 11999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 11400       0.0       0.0       0.0       0.0       0.0  \n",
       " 11401       0.0       0.0       0.0       0.0       0.0  \n",
       " 11402       0.0       0.0       0.0       0.0       0.0  \n",
       " 11403       0.0       0.0       0.0       0.0       0.0  \n",
       " 11404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 11995       0.0       0.0       0.0       0.0       0.0  \n",
       " 11996       0.0       0.0       0.0       0.0       0.0  \n",
       " 11997       0.0       0.0       0.0       0.0       0.0  \n",
       " 11998       0.0       0.0       0.0       0.0       0.0  \n",
       " 11999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 12000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 12595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 12000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 12595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 12000       0.0       0.0       0.0       0.0       0.0  \n",
       " 12001       0.0       0.0       0.0       0.0       0.0  \n",
       " 12002       0.0       0.0       0.0       0.0       0.0  \n",
       " 12003       0.0       0.0       0.0       0.0       0.0  \n",
       " 12004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 12595       0.0       0.0       0.0       0.0       0.0  \n",
       " 12596       0.0       0.0       0.0       0.0       0.0  \n",
       " 12597       0.0       0.0       0.0       0.0       0.0  \n",
       " 12598       0.0       0.0       0.0       0.0       0.0  \n",
       " 12599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 12600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 12604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 13195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 12600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 12604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 13195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 12600       0.0       0.0       0.0       0.0       0.0  \n",
       " 12601       0.0       0.0       0.0       0.0       0.0  \n",
       " 12602       0.0       0.0       0.0       0.0       0.0  \n",
       " 12603       0.0       0.0       0.0       0.0       0.0  \n",
       " 12604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 13195       0.0       0.0       0.0       0.0       0.0  \n",
       " 13196       0.0       0.0       0.0       0.0       0.0  \n",
       " 13197       0.0       0.0       0.0       0.0       0.0  \n",
       " 13198       0.0       0.0       0.0       0.0       0.0  \n",
       " 13199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 13200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 13795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 13200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 13795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 13200       0.0       0.0       0.0       0.0       0.0  \n",
       " 13201       0.0       0.0       0.0       0.0       0.0  \n",
       " 13202       0.0       0.0       0.0       0.0       0.0  \n",
       " 13203       0.0       0.0       0.0       0.0       0.0  \n",
       " 13204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 13795       0.0       0.0       0.0       0.0       0.0  \n",
       " 13796       0.0       0.0       0.0       0.0       0.0  \n",
       " 13797       0.0       0.0       0.0       0.0       0.0  \n",
       " 13798       0.0       0.0       0.0       0.0       0.0  \n",
       " 13799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 13800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 13804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 14395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 13800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 13804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 14395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 13800       0.0       0.0       0.0       0.0       0.0  \n",
       " 13801       0.0       0.0       0.0       0.0       0.0  \n",
       " 13802       0.0       0.0       0.0       0.0       0.0  \n",
       " 13803       0.0       0.0       0.0       0.0       0.0  \n",
       " 13804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 14395       0.0       0.0       0.0       0.0       0.0  \n",
       " 14396       0.0       0.0       0.0       0.0       0.0  \n",
       " 14397       0.0       0.0       0.0       0.0       0.0  \n",
       " 14398       0.0       0.0       0.0       0.0       0.0  \n",
       " 14399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 14400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 14995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 14999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 14400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 14995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 14999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 14400       0.0       0.0       0.0       0.0       0.0  \n",
       " 14401       0.0       0.0       0.0       0.0       0.0  \n",
       " 14402       0.0       0.0       0.0       0.0       0.0  \n",
       " 14403       0.0       0.0       0.0       0.0       0.0  \n",
       " 14404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 14995       0.0       0.0       0.0       0.0       0.0  \n",
       " 14996       0.0       0.0       0.0       0.0       0.0  \n",
       " 14997       0.0       0.0       0.0       0.0       0.0  \n",
       " 14998       0.0       0.0       0.0       0.0       0.0  \n",
       " 14999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 15000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 15595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 15000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 15595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 15000       0.0       0.0       0.0       0.0       0.0  \n",
       " 15001       0.0       0.0       0.0       0.0       0.0  \n",
       " 15002       0.0       0.0       0.0       0.0       0.0  \n",
       " 15003       0.0       0.0       0.0       0.0       0.0  \n",
       " 15004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 15595       0.0       0.0       0.0       0.0       0.0  \n",
       " 15596       0.0       0.0       0.0       0.0       0.0  \n",
       " 15597       0.0       0.0       0.0       0.0       0.0  \n",
       " 15598       0.0       0.0       0.0       0.0       0.0  \n",
       " 15599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 15600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 15604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 16195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 15600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 15604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 16195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 15600       0.0       0.0       0.0       0.0       0.0  \n",
       " 15601       0.0       0.0       0.0       0.0       0.0  \n",
       " 15602       0.0       0.0       0.0       0.0       0.0  \n",
       " 15603       0.0       0.0       0.0       0.0       0.0  \n",
       " 15604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 16195       0.0       0.0       0.0       0.0       0.0  \n",
       " 16196       0.0       0.0       0.0       0.0       0.0  \n",
       " 16197       0.0       0.0       0.0       0.0       0.0  \n",
       " 16198       0.0       0.0       0.0       0.0       0.0  \n",
       " 16199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 16200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 16795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 16200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 16795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 16200       0.0       0.0       0.0       0.0       0.0  \n",
       " 16201       0.0       0.0       0.0       0.0       0.0  \n",
       " 16202       0.0       0.0       0.0       0.0       0.0  \n",
       " 16203       0.0       0.0       0.0       0.0       0.0  \n",
       " 16204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 16795       0.0       0.0       0.0       0.0       0.0  \n",
       " 16796       0.0       0.0       0.0       0.0       0.0  \n",
       " 16797       0.0       0.0       0.0       0.0       0.0  \n",
       " 16798       0.0       0.0       0.0       0.0       0.0  \n",
       " 16799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 16800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 16804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 17395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 16800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 16804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 17395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 16800       0.0       0.0       0.0       0.0       0.0  \n",
       " 16801       0.0       0.0       0.0       0.0       0.0  \n",
       " 16802       0.0       0.0       0.0       0.0       0.0  \n",
       " 16803       0.0       0.0       0.0       0.0       0.0  \n",
       " 16804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 17395       0.0       0.0       0.0       0.0       0.0  \n",
       " 17396       0.0       0.0       0.0       0.0       0.0  \n",
       " 17397       0.0       0.0       0.0       0.0       0.0  \n",
       " 17398       0.0       0.0       0.0       0.0       0.0  \n",
       " 17399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 17400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 17995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 17999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 17400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 17995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 17999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 17400       0.0       0.0       0.0       0.0       0.0  \n",
       " 17401       0.0       0.0       0.0       0.0       0.0  \n",
       " 17402       0.0       0.0       0.0       0.0       0.0  \n",
       " 17403       0.0       0.0       0.0       0.0       0.0  \n",
       " 17404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 17995       0.0       0.0       0.0       0.0       0.0  \n",
       " 17996       0.0       0.0       0.0       0.0       0.0  \n",
       " 17997       0.0       0.0       0.0       0.0       0.0  \n",
       " 17998       0.0       0.0       0.0       0.0       0.0  \n",
       " 17999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 18000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 18595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 18000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 18595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 18000       0.0       0.0       0.0       0.0       0.0  \n",
       " 18001       0.0       0.0       0.0       0.0       0.0  \n",
       " 18002       0.0       0.0       0.0       0.0       0.0  \n",
       " 18003       0.0       0.0       0.0       0.0       0.0  \n",
       " 18004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 18595       0.0       0.0       0.0       0.0       0.0  \n",
       " 18596       0.0       0.0       0.0       0.0       0.0  \n",
       " 18597       0.0       0.0       0.0       0.0       0.0  \n",
       " 18598       0.0       0.0       0.0       0.0       0.0  \n",
       " 18599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 18600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 18604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 19195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 18600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 18604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 19195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 18600       0.0       0.0       0.0       0.0       0.0  \n",
       " 18601       0.0       0.0       0.0       0.0       0.0  \n",
       " 18602       0.0       0.0       0.0       0.0       0.0  \n",
       " 18603       0.0       0.0       0.0       0.0       0.0  \n",
       " 18604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 19195       0.0       0.0       0.0       0.0       0.0  \n",
       " 19196       0.0       0.0       0.0       0.0       0.0  \n",
       " 19197       0.0       0.0       0.0       0.0       0.0  \n",
       " 19198       0.0       0.0       0.0       0.0       0.0  \n",
       " 19199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 19200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 19795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 19200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 19795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 19200       0.0       0.0       0.0       0.0       0.0  \n",
       " 19201       0.0       0.0       0.0       0.0       0.0  \n",
       " 19202       0.0       0.0       0.0       0.0       0.0  \n",
       " 19203       0.0       0.0       0.0       0.0       0.0  \n",
       " 19204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 19795       0.0       0.0       0.0       0.0       0.0  \n",
       " 19796       0.0       0.0       0.0       0.0       0.0  \n",
       " 19797       0.0       0.0       0.0       0.0       0.0  \n",
       " 19798       0.0       0.0       0.0       0.0       0.0  \n",
       " 19799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 19800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 19804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 20395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 19800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 19804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 20395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 19800       0.0       0.0       0.0       0.0       0.0  \n",
       " 19801       0.0       0.0       0.0       0.0       0.0  \n",
       " 19802       0.0       0.0       0.0       0.0       0.0  \n",
       " 19803       0.0       0.0       0.0       0.0       0.0  \n",
       " 19804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 20395       0.0       0.0       0.0       0.0       0.0  \n",
       " 20396       0.0       0.0       0.0       0.0       0.0  \n",
       " 20397       0.0       0.0       0.0       0.0       0.0  \n",
       " 20398       0.0       0.0       0.0       0.0       0.0  \n",
       " 20399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 20400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 20995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 20999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 20400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 20995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 20999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 20400       0.0       0.0       0.0       0.0       0.0  \n",
       " 20401       0.0       0.0       0.0       0.0       0.0  \n",
       " 20402       0.0       0.0       0.0       0.0       0.0  \n",
       " 20403       0.0       0.0       0.0       0.0       0.0  \n",
       " 20404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 20995       0.0       0.0       0.0       0.0       0.0  \n",
       " 20996       0.0       0.0       0.0       0.0       0.0  \n",
       " 20997       0.0       0.0       0.0       0.0       0.0  \n",
       " 20998       0.0       0.0       0.0       0.0       0.0  \n",
       " 20999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 21000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 21595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 21000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 21595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 21000       0.0       0.0       0.0       0.0       0.0  \n",
       " 21001       0.0       0.0       0.0       0.0       0.0  \n",
       " 21002       0.0       0.0       0.0       0.0       0.0  \n",
       " 21003       0.0       0.0       0.0       0.0       0.0  \n",
       " 21004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 21595       0.0       0.0       0.0       0.0       0.0  \n",
       " 21596       0.0       0.0       0.0       0.0       0.0  \n",
       " 21597       0.0       0.0       0.0       0.0       0.0  \n",
       " 21598       0.0       0.0       0.0       0.0       0.0  \n",
       " 21599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 21600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 21604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 22195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 21600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 21604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 22195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 21600       0.0       0.0       0.0       0.0       0.0  \n",
       " 21601       0.0       0.0       0.0       0.0       0.0  \n",
       " 21602       0.0       0.0       0.0       0.0       0.0  \n",
       " 21603       0.0       0.0       0.0       0.0       0.0  \n",
       " 21604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 22195       0.0       0.0       0.0       0.0       0.0  \n",
       " 22196       0.0       0.0       0.0       0.0       0.0  \n",
       " 22197       0.0       0.0       0.0       0.0       0.0  \n",
       " 22198       0.0       0.0       0.0       0.0       0.0  \n",
       " 22199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 22200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 22795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 22200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 22795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 22200       0.0       0.0       0.0       0.0       0.0  \n",
       " 22201       0.0       0.0       0.0       0.0       0.0  \n",
       " 22202       0.0       0.0       0.0       0.0       0.0  \n",
       " 22203       0.0       0.0       0.0       0.0       0.0  \n",
       " 22204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 22795       0.0       0.0       0.0       0.0       0.0  \n",
       " 22796       0.0       0.0       0.0       0.0       0.0  \n",
       " 22797       0.0       0.0       0.0       0.0       0.0  \n",
       " 22798       0.0       0.0       0.0       0.0       0.0  \n",
       " 22799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 22800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 22804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 23395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 22800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 22804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 23395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 22800       0.0       0.0       0.0       0.0       0.0  \n",
       " 22801       0.0       0.0       0.0       0.0       0.0  \n",
       " 22802       0.0       0.0       0.0       0.0       0.0  \n",
       " 22803       0.0       0.0       0.0       0.0       0.0  \n",
       " 22804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 23395       0.0       0.0       0.0       0.0       0.0  \n",
       " 23396       0.0       0.0       0.0       0.0       0.0  \n",
       " 23397       0.0       0.0       0.0       0.0       0.0  \n",
       " 23398       0.0       0.0       0.0       0.0       0.0  \n",
       " 23399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 23400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 23995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 23999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 23400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 23995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 23999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 23400       0.0       0.0       0.0       0.0       0.0  \n",
       " 23401       0.0       0.0       0.0       0.0       0.0  \n",
       " 23402       0.0       0.0       0.0       0.0       0.0  \n",
       " 23403       0.0       0.0       0.0       0.0       0.0  \n",
       " 23404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 23995       0.0       0.0       0.0       0.0       0.0  \n",
       " 23996       0.0       0.0       0.0       0.0       0.0  \n",
       " 23997       0.0       0.0       0.0       0.0       0.0  \n",
       " 23998       0.0       0.0       0.0       0.0       0.0  \n",
       " 23999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 24000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 24595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 24000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 24595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 24000       0.0       0.0       0.0       0.0       0.0  \n",
       " 24001       0.0       0.0       0.0       0.0       0.0  \n",
       " 24002       0.0       0.0       0.0       0.0       0.0  \n",
       " 24003       0.0       0.0       0.0       0.0       0.0  \n",
       " 24004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 24595       0.0       0.0       0.0       0.0       0.0  \n",
       " 24596       0.0       0.0       0.0       0.0       0.0  \n",
       " 24597       0.0       0.0       0.0       0.0       0.0  \n",
       " 24598       0.0       0.0       0.0       0.0       0.0  \n",
       " 24599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 24600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 24604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 25195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 24600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 24604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 25195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 24600       0.0       0.0       0.0       0.0       0.0  \n",
       " 24601       0.0       0.0       0.0       0.0       0.0  \n",
       " 24602       0.0       0.0       0.0       0.0       0.0  \n",
       " 24603       0.0       0.0       0.0       0.0       0.0  \n",
       " 24604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 25195       0.0       0.0       0.0       0.0       0.0  \n",
       " 25196       0.0       0.0       0.0       0.0       0.0  \n",
       " 25197       0.0       0.0       0.0       0.0       0.0  \n",
       " 25198       0.0       0.0       0.0       0.0       0.0  \n",
       " 25199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 25200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 25795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 25200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 25795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 25200       0.0       0.0       0.0       0.0       0.0  \n",
       " 25201       0.0       0.0       0.0       0.0       0.0  \n",
       " 25202       0.0       0.0       0.0       0.0       0.0  \n",
       " 25203       0.0       0.0       0.0       0.0       0.0  \n",
       " 25204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 25795       0.0       0.0       0.0       0.0       0.0  \n",
       " 25796       0.0       0.0       0.0       0.0       0.0  \n",
       " 25797       0.0       0.0       0.0       0.0       0.0  \n",
       " 25798       0.0       0.0       0.0       0.0       0.0  \n",
       " 25799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 25800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 25804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 26395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 25800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 25804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 26395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 25800       0.0       0.0       0.0       0.0       0.0  \n",
       " 25801       0.0       0.0       0.0       0.0       0.0  \n",
       " 25802       0.0       0.0       0.0       0.0       0.0  \n",
       " 25803       0.0       0.0       0.0       0.0       0.0  \n",
       " 25804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 26395       0.0       0.0       0.0       0.0       0.0  \n",
       " 26396       0.0       0.0       0.0       0.0       0.0  \n",
       " 26397       0.0       0.0       0.0       0.0       0.0  \n",
       " 26398       0.0       0.0       0.0       0.0       0.0  \n",
       " 26399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 26400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 26995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 26999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 26400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 26995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 26999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 26400       0.0       0.0       0.0       0.0       0.0  \n",
       " 26401       0.0       0.0       0.0       0.0       0.0  \n",
       " 26402       0.0       0.0       0.0       0.0       0.0  \n",
       " 26403       0.0       0.0       0.0       0.0       0.0  \n",
       " 26404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 26995       0.0       0.0       0.0       0.0       0.0  \n",
       " 26996       0.0       0.0       0.0       0.0       0.0  \n",
       " 26997       0.0       0.0       0.0       0.0       0.0  \n",
       " 26998       0.0       0.0       0.0       0.0       0.0  \n",
       " 26999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 27000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 27595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 27000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 27595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 27000       0.0       0.0       0.0       0.0       0.0  \n",
       " 27001       0.0       0.0       0.0       0.0       0.0  \n",
       " 27002       0.0       0.0       0.0       0.0       0.0  \n",
       " 27003       0.0       0.0       0.0       0.0       0.0  \n",
       " 27004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 27595       0.0       0.0       0.0       0.0       0.0  \n",
       " 27596       0.0       0.0       0.0       0.0       0.0  \n",
       " 27597       0.0       0.0       0.0       0.0       0.0  \n",
       " 27598       0.0       0.0       0.0       0.0       0.0  \n",
       " 27599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 27600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 27604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 28195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 27600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 27604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 28195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 27600       0.0       0.0       0.0       0.0       0.0  \n",
       " 27601       0.0       0.0       0.0       0.0       0.0  \n",
       " 27602       0.0       0.0       0.0       0.0       0.0  \n",
       " 27603       0.0       0.0       0.0       0.0       0.0  \n",
       " 27604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 28195       0.0       0.0       0.0       0.0       0.0  \n",
       " 28196       0.0       0.0       0.0       0.0       0.0  \n",
       " 28197       0.0       0.0       0.0       0.0       0.0  \n",
       " 28198       0.0       0.0       0.0       0.0       0.0  \n",
       " 28199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 28200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 28795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 28200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 28795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 28200       0.0       0.0       0.0       0.0       0.0  \n",
       " 28201       0.0       0.0       0.0       0.0       0.0  \n",
       " 28202       0.0       0.0       0.0       0.0       0.0  \n",
       " 28203       0.0       0.0       0.0       0.0       0.0  \n",
       " 28204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 28795       0.0       0.0       0.0       0.0       0.0  \n",
       " 28796       0.0       0.0       0.0       0.0       0.0  \n",
       " 28797       0.0       0.0       0.0       0.0       0.0  \n",
       " 28798       0.0       0.0       0.0       0.0       0.0  \n",
       " 28799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 28800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 28804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 29395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 28800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 28804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 29395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 28800       0.0       0.0       0.0       0.0       0.0  \n",
       " 28801       0.0       0.0       0.0       0.0       0.0  \n",
       " 28802       0.0       0.0       0.0       0.0       0.0  \n",
       " 28803       0.0       0.0       0.0       0.0       0.0  \n",
       " 28804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 29395       0.0       0.0       0.0       0.0       0.0  \n",
       " 29396       0.0       0.0       0.0       0.0       0.0  \n",
       " 29397       0.0       0.0       0.0       0.0       0.0  \n",
       " 29398       0.0       0.0       0.0       0.0       0.0  \n",
       " 29399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 29400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 29995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 29999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 29400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 29995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 29999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 29400       0.0       0.0       0.0       0.0       0.0  \n",
       " 29401       0.0       0.0       0.0       0.0       0.0  \n",
       " 29402       0.0       0.0       0.0       0.0       0.0  \n",
       " 29403       0.0       0.0       0.0       0.0       0.0  \n",
       " 29404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 29995       0.0       0.0       0.0       0.0       0.0  \n",
       " 29996       0.0       0.0       0.0       0.0       0.0  \n",
       " 29997       0.0       0.0       0.0       0.0       0.0  \n",
       " 29998       0.0       0.0       0.0       0.0       0.0  \n",
       " 29999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 30000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 30595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 30000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 30595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 30000       0.0       0.0       0.0       0.0       0.0  \n",
       " 30001       0.0       0.0       0.0       0.0       0.0  \n",
       " 30002       0.0       0.0       0.0       0.0       0.0  \n",
       " 30003       0.0       0.0       0.0       0.0       0.0  \n",
       " 30004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 30595       0.0       0.0       0.0       0.0       0.0  \n",
       " 30596       0.0       0.0       0.0       0.0       0.0  \n",
       " 30597       0.0       0.0       0.0       0.0       0.0  \n",
       " 30598       0.0       0.0       0.0       0.0       0.0  \n",
       " 30599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 30600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 30604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 31195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 30600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 30604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 31195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 30600       0.0       0.0       0.0       0.0       0.0  \n",
       " 30601       0.0       0.0       0.0       0.0       0.0  \n",
       " 30602       0.0       0.0       0.0       0.0       0.0  \n",
       " 30603       0.0       0.0       0.0       0.0       0.0  \n",
       " 30604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 31195       0.0       0.0       0.0       0.0       0.0  \n",
       " 31196       0.0       0.0       0.0       0.0       0.0  \n",
       " 31197       0.0       0.0       0.0       0.0       0.0  \n",
       " 31198       0.0       0.0       0.0       0.0       0.0  \n",
       " 31199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 31200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 31795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 31200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 31795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 31200       0.0       0.0       0.0       0.0       0.0  \n",
       " 31201       0.0       0.0       0.0       0.0       0.0  \n",
       " 31202       0.0       0.0       0.0       0.0       0.0  \n",
       " 31203       0.0       0.0       0.0       0.0       0.0  \n",
       " 31204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 31795       0.0       0.0       0.0       0.0       0.0  \n",
       " 31796       0.0       0.0       0.0       0.0       0.0  \n",
       " 31797       0.0       0.0       0.0       0.0       0.0  \n",
       " 31798       0.0       0.0       0.0       0.0       0.0  \n",
       " 31799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 31800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 31804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 32395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 31800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 31804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 32395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 31800       0.0       0.0       0.0       0.0       0.0  \n",
       " 31801       0.0       0.0       0.0       0.0       0.0  \n",
       " 31802       0.0       0.0       0.0       0.0       0.0  \n",
       " 31803       0.0       0.0       0.0       0.0       0.0  \n",
       " 31804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 32395       0.0       0.0       0.0       0.0       0.0  \n",
       " 32396       0.0       0.0       0.0       0.0       0.0  \n",
       " 32397       0.0       0.0       0.0       0.0       0.0  \n",
       " 32398       0.0       0.0       0.0       0.0       0.0  \n",
       " 32399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 32400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 32995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 32999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 32400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 32995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 32999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 32400       0.0       0.0       0.0       0.0       0.0  \n",
       " 32401       0.0       0.0       0.0       0.0       0.0  \n",
       " 32402       0.0       0.0       0.0       0.0       0.0  \n",
       " 32403       0.0       0.0       0.0       0.0       0.0  \n",
       " 32404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 32995       0.0       0.0       0.0       0.0       0.0  \n",
       " 32996       0.0       0.0       0.0       0.0       0.0  \n",
       " 32997       0.0       0.0       0.0       0.0       0.0  \n",
       " 32998       0.0       0.0       0.0       0.0       0.0  \n",
       " 32999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 33000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 33595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 33000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 33595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 33000       0.0       0.0       0.0       0.0       0.0  \n",
       " 33001       0.0       0.0       0.0       0.0       0.0  \n",
       " 33002       0.0       0.0       0.0       0.0       0.0  \n",
       " 33003       0.0       0.0       0.0       0.0       0.0  \n",
       " 33004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 33595       0.0       0.0       0.0       0.0       0.0  \n",
       " 33596       0.0       0.0       0.0       0.0       0.0  \n",
       " 33597       0.0       0.0       0.0       0.0       0.0  \n",
       " 33598       0.0       0.0       0.0       0.0       0.0  \n",
       " 33599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 33600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 33604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 34195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 33600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 33604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 34195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 33600       0.0       0.0       0.0       0.0       0.0  \n",
       " 33601       0.0       0.0       0.0       0.0       0.0  \n",
       " 33602       0.0       0.0       0.0       0.0       0.0  \n",
       " 33603       0.0       0.0       0.0       0.0       0.0  \n",
       " 33604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 34195       0.0       0.0       0.0       0.0       0.0  \n",
       " 34196       0.0       0.0       0.0       0.0       0.0  \n",
       " 34197       0.0       0.0       0.0       0.0       0.0  \n",
       " 34198       0.0       0.0       0.0       0.0       0.0  \n",
       " 34199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 34200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 34795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 34200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 34795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 34200       0.0       0.0       0.0       0.0       0.0  \n",
       " 34201       0.0       0.0       0.0       0.0       0.0  \n",
       " 34202       0.0       0.0       0.0       0.0       0.0  \n",
       " 34203       0.0       0.0       0.0       0.0       0.0  \n",
       " 34204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 34795       0.0       0.0       0.0       0.0       0.0  \n",
       " 34796       0.0       0.0       0.0       0.0       0.0  \n",
       " 34797       0.0       0.0       0.0       0.0       0.0  \n",
       " 34798       0.0       0.0       0.0       0.0       0.0  \n",
       " 34799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 34800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 34804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 35395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 34800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 34804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 35395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 34800       0.0       0.0       0.0       0.0       0.0  \n",
       " 34801       0.0       0.0       0.0       0.0       0.0  \n",
       " 34802       0.0       0.0       0.0       0.0       0.0  \n",
       " 34803       0.0       0.0       0.0       0.0       0.0  \n",
       " 34804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 35395       0.0       0.0       0.0       0.0       0.0  \n",
       " 35396       0.0       0.0       0.0       0.0       0.0  \n",
       " 35397       0.0       0.0       0.0       0.0       0.0  \n",
       " 35398       0.0       0.0       0.0       0.0       0.0  \n",
       " 35399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 35400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 35995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 35999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 35400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 35995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 35999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 35400       0.0       0.0       0.0       0.0       0.0  \n",
       " 35401       0.0       0.0       0.0       0.0       0.0  \n",
       " 35402       0.0       0.0       0.0       0.0       0.0  \n",
       " 35403       0.0       0.0       0.0       0.0       0.0  \n",
       " 35404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 35995       0.0       0.0       0.0       0.0       0.0  \n",
       " 35996       0.0       0.0       0.0       0.0       0.0  \n",
       " 35997       0.0       0.0       0.0       0.0       0.0  \n",
       " 35998       0.0       0.0       0.0       0.0       0.0  \n",
       " 35999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 36000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 36595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 36000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 36595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 36000       0.0       0.0       0.0       0.0       0.0  \n",
       " 36001       0.0       0.0       0.0       0.0       0.0  \n",
       " 36002       0.0       0.0       0.0       0.0       0.0  \n",
       " 36003       0.0       0.0       0.0       0.0       0.0  \n",
       " 36004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 36595       0.0       0.0       0.0       0.0       0.0  \n",
       " 36596       0.0       0.0       0.0       0.0       0.0  \n",
       " 36597       0.0       0.0       0.0       0.0       0.0  \n",
       " 36598       0.0       0.0       0.0       0.0       0.0  \n",
       " 36599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 36600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 36604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 37195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 36600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 36604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 37195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 36600       0.0       0.0       0.0       0.0       0.0  \n",
       " 36601       0.0       0.0       0.0       0.0       0.0  \n",
       " 36602       0.0       0.0       0.0       0.0       0.0  \n",
       " 36603       0.0       0.0       0.0       0.0       0.0  \n",
       " 36604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 37195       0.0       0.0       0.0       0.0       0.0  \n",
       " 37196       0.0       0.0       0.0       0.0       0.0  \n",
       " 37197       0.0       0.0       0.0       0.0       0.0  \n",
       " 37198       0.0       0.0       0.0       0.0       0.0  \n",
       " 37199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 37200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 37795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 37200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 37795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 37200       0.0       0.0       0.0       0.0       0.0  \n",
       " 37201       0.0       0.0       0.0       0.0       0.0  \n",
       " 37202       0.0       0.0       0.0       0.0       0.0  \n",
       " 37203       0.0       0.0       0.0       0.0       0.0  \n",
       " 37204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 37795       0.0       0.0       0.0       0.0       0.0  \n",
       " 37796       0.0       0.0       0.0       0.0       0.0  \n",
       " 37797       0.0       0.0       0.0       0.0       0.0  \n",
       " 37798       0.0       0.0       0.0       0.0       0.0  \n",
       " 37799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 37800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 37804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 38395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 37800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 37804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 38395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 37800       0.0       0.0       0.0       0.0       0.0  \n",
       " 37801       0.0       0.0       0.0       0.0       0.0  \n",
       " 37802       0.0       0.0       0.0       0.0       0.0  \n",
       " 37803       0.0       0.0       0.0       0.0       0.0  \n",
       " 37804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 38395       0.0       0.0       0.0       0.0       0.0  \n",
       " 38396       0.0       0.0       0.0       0.0       0.0  \n",
       " 38397       0.0       0.0       0.0       0.0       0.0  \n",
       " 38398       0.0       0.0       0.0       0.0       0.0  \n",
       " 38399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 38400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 38995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 38999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 38400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 38995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 38999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 38400       0.0       0.0       0.0       0.0       0.0  \n",
       " 38401       0.0       0.0       0.0       0.0       0.0  \n",
       " 38402       0.0       0.0       0.0       0.0       0.0  \n",
       " 38403       0.0       0.0       0.0       0.0       0.0  \n",
       " 38404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 38995       0.0       0.0       0.0       0.0       0.0  \n",
       " 38996       0.0       0.0       0.0       0.0       0.0  \n",
       " 38997       0.0       0.0       0.0       0.0       0.0  \n",
       " 38998       0.0       0.0       0.0       0.0       0.0  \n",
       " 38999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 39000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 39595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 39000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 39595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 39000       0.0       0.0       0.0       0.0       0.0  \n",
       " 39001       0.0       0.0       0.0       0.0       0.0  \n",
       " 39002       0.0       0.0       0.0       0.0       0.0  \n",
       " 39003       0.0       0.0       0.0       0.0       0.0  \n",
       " 39004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 39595       0.0       0.0       0.0       0.0       0.0  \n",
       " 39596       0.0       0.0       0.0       0.0       0.0  \n",
       " 39597       0.0       0.0       0.0       0.0       0.0  \n",
       " 39598       0.0       0.0       0.0       0.0       0.0  \n",
       " 39599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 39600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 39604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 40195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 39600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 39604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 40195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 39600       0.0       0.0       0.0       0.0       0.0  \n",
       " 39601       0.0       0.0       0.0       0.0       0.0  \n",
       " 39602       0.0       0.0       0.0       0.0       0.0  \n",
       " 39603       0.0       0.0       0.0       0.0       0.0  \n",
       " 39604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 40195       0.0       0.0       0.0       0.0       0.0  \n",
       " 40196       0.0       0.0       0.0       0.0       0.0  \n",
       " 40197       0.0       0.0       0.0       0.0       0.0  \n",
       " 40198       0.0       0.0       0.0       0.0       0.0  \n",
       " 40199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 40200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 40795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 40200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 40795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 40200       0.0       0.0       0.0       0.0       0.0  \n",
       " 40201       0.0       0.0       0.0       0.0       0.0  \n",
       " 40202       0.0       0.0       0.0       0.0       0.0  \n",
       " 40203       0.0       0.0       0.0       0.0       0.0  \n",
       " 40204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 40795       0.0       0.0       0.0       0.0       0.0  \n",
       " 40796       0.0       0.0       0.0       0.0       0.0  \n",
       " 40797       0.0       0.0       0.0       0.0       0.0  \n",
       " 40798       0.0       0.0       0.0       0.0       0.0  \n",
       " 40799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 40800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 40804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 41395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 40800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 40804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 41395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 40800       0.0       0.0       0.0       0.0       0.0  \n",
       " 40801       0.0       0.0       0.0       0.0       0.0  \n",
       " 40802       0.0       0.0       0.0       0.0       0.0  \n",
       " 40803       0.0       0.0       0.0       0.0       0.0  \n",
       " 40804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 41395       0.0       0.0       0.0       0.0       0.0  \n",
       " 41396       0.0       0.0       0.0       0.0       0.0  \n",
       " 41397       0.0       0.0       0.0       0.0       0.0  \n",
       " 41398       0.0       0.0       0.0       0.0       0.0  \n",
       " 41399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 41400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 41995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 41999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 41400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 41995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 41999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 41400       0.0       0.0       0.0       0.0       0.0  \n",
       " 41401       0.0       0.0       0.0       0.0       0.0  \n",
       " 41402       0.0       0.0       0.0       0.0       0.0  \n",
       " 41403       0.0       0.0       0.0       0.0       0.0  \n",
       " 41404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 41995       0.0       0.0       0.0       0.0       0.0  \n",
       " 41996       0.0       0.0       0.0       0.0       0.0  \n",
       " 41997       0.0       0.0       0.0       0.0       0.0  \n",
       " 41998       0.0       0.0       0.0       0.0       0.0  \n",
       " 41999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 42000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 42595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 42000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 42595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 42000       0.0       0.0       0.0       0.0       0.0  \n",
       " 42001       0.0       0.0       0.0       0.0       0.0  \n",
       " 42002       0.0       0.0       0.0       0.0       0.0  \n",
       " 42003       0.0       0.0       0.0       0.0       0.0  \n",
       " 42004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 42595       0.0       0.0       0.0       0.0       0.0  \n",
       " 42596       0.0       0.0       0.0       0.0       0.0  \n",
       " 42597       0.0       0.0       0.0       0.0       0.0  \n",
       " 42598       0.0       0.0       0.0       0.0       0.0  \n",
       " 42599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 42600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 42604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 43195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 42600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 42604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 43195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 42600       0.0       0.0       0.0       0.0       0.0  \n",
       " 42601       0.0       0.0       0.0       0.0       0.0  \n",
       " 42602       0.0       0.0       0.0       0.0       0.0  \n",
       " 42603       0.0       0.0       0.0       0.0       0.0  \n",
       " 42604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 43195       0.0       0.0       0.0       0.0       0.0  \n",
       " 43196       0.0       0.0       0.0       0.0       0.0  \n",
       " 43197       0.0       0.0       0.0       0.0       0.0  \n",
       " 43198       0.0       0.0       0.0       0.0       0.0  \n",
       " 43199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 43200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 43795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 43200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 43795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 43200       0.0       0.0       0.0       0.0       0.0  \n",
       " 43201       0.0       0.0       0.0       0.0       0.0  \n",
       " 43202       0.0       0.0       0.0       0.0       0.0  \n",
       " 43203       0.0       0.0       0.0       0.0       0.0  \n",
       " 43204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 43795       0.0       0.0       0.0       0.0       0.0  \n",
       " 43796       0.0       0.0       0.0       0.0       0.0  \n",
       " 43797       0.0       0.0       0.0       0.0       0.0  \n",
       " 43798       0.0       0.0       0.0       0.0       0.0  \n",
       " 43799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 43800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 43804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 44395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 43800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 43804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 44395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 43800       0.0       0.0       0.0       0.0       0.0  \n",
       " 43801       0.0       0.0       0.0       0.0       0.0  \n",
       " 43802       0.0       0.0       0.0       0.0       0.0  \n",
       " 43803       0.0       0.0       0.0       0.0       0.0  \n",
       " 43804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 44395       0.0       0.0       0.0       0.0       0.0  \n",
       " 44396       0.0       0.0       0.0       0.0       0.0  \n",
       " 44397       0.0       0.0       0.0       0.0       0.0  \n",
       " 44398       0.0       0.0       0.0       0.0       0.0  \n",
       " 44399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 44400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 44995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 44999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 44400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 44995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 44999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 44400       0.0       0.0       0.0       0.0       0.0  \n",
       " 44401       0.0       0.0       0.0       0.0       0.0  \n",
       " 44402       0.0       0.0       0.0       0.0       0.0  \n",
       " 44403       0.0       0.0       0.0       0.0       0.0  \n",
       " 44404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 44995       0.0       0.0       0.0       0.0       0.0  \n",
       " 44996       0.0       0.0       0.0       0.0       0.0  \n",
       " 44997       0.0       0.0       0.0       0.0       0.0  \n",
       " 44998       0.0       0.0       0.0       0.0       0.0  \n",
       " 44999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 45000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 45595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 45000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 45595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 45000       0.0       0.0       0.0       0.0       0.0  \n",
       " 45001       0.0       0.0       0.0       0.0       0.0  \n",
       " 45002       0.0       0.0       0.0       0.0       0.0  \n",
       " 45003       0.0       0.0       0.0       0.0       0.0  \n",
       " 45004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 45595       0.0       0.0       0.0       0.0       0.0  \n",
       " 45596       0.0       0.0       0.0       0.0       0.0  \n",
       " 45597       0.0       0.0       0.0       0.0       0.0  \n",
       " 45598       0.0       0.0       0.0       0.0       0.0  \n",
       " 45599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 45600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 45604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 46195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 45600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 45604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 46195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 45600       0.0       0.0       0.0       0.0       0.0  \n",
       " 45601       0.0       0.0       0.0       0.0       0.0  \n",
       " 45602       0.0       0.0       0.0       0.0       0.0  \n",
       " 45603       0.0       0.0       0.0       0.0       0.0  \n",
       " 45604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 46195       0.0       0.0       0.0       0.0       0.0  \n",
       " 46196       0.0       0.0       0.0       0.0       0.0  \n",
       " 46197       0.0       0.0       0.0       0.0       0.0  \n",
       " 46198       0.0       0.0       0.0       0.0       0.0  \n",
       " 46199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 46200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 46795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 46200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 46795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 46200       0.0       0.0       0.0       0.0       0.0  \n",
       " 46201       0.0       0.0       0.0       0.0       0.0  \n",
       " 46202       0.0       0.0       0.0       0.0       0.0  \n",
       " 46203       0.0       0.0       0.0       0.0       0.0  \n",
       " 46204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 46795       0.0       0.0       0.0       0.0       0.0  \n",
       " 46796       0.0       0.0       0.0       0.0       0.0  \n",
       " 46797       0.0       0.0       0.0       0.0       0.0  \n",
       " 46798       0.0       0.0       0.0       0.0       0.0  \n",
       " 46799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 46800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 46804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 47395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 46800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 46804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 47395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 46800       0.0       0.0       0.0       0.0       0.0  \n",
       " 46801       0.0       0.0       0.0       0.0       0.0  \n",
       " 46802       0.0       0.0       0.0       0.0       0.0  \n",
       " 46803       0.0       0.0       0.0       0.0       0.0  \n",
       " 46804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 47395       0.0       0.0       0.0       0.0       0.0  \n",
       " 47396       0.0       0.0       0.0       0.0       0.0  \n",
       " 47397       0.0       0.0       0.0       0.0       0.0  \n",
       " 47398       0.0       0.0       0.0       0.0       0.0  \n",
       " 47399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 47400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 47995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 47999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 47400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 47995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 47999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 47400       0.0       0.0       0.0       0.0       0.0  \n",
       " 47401       0.0       0.0       0.0       0.0       0.0  \n",
       " 47402       0.0       0.0       0.0       0.0       0.0  \n",
       " 47403       0.0       0.0       0.0       0.0       0.0  \n",
       " 47404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 47995       0.0       0.0       0.0       0.0       0.0  \n",
       " 47996       0.0       0.0       0.0       0.0       0.0  \n",
       " 47997       0.0       0.0       0.0       0.0       0.0  \n",
       " 47998       0.0       0.0       0.0       0.0       0.0  \n",
       " 47999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 48000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 48595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 48000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 48595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 48000       0.0       0.0       0.0       0.0       0.0  \n",
       " 48001       0.0       0.0       0.0       0.0       0.0  \n",
       " 48002       0.0       0.0       0.0       0.0       0.0  \n",
       " 48003       0.0       0.0       0.0       0.0       0.0  \n",
       " 48004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 48595       0.0       0.0       0.0       0.0       0.0  \n",
       " 48596       0.0       0.0       0.0       0.0       0.0  \n",
       " 48597       0.0       0.0       0.0       0.0       0.0  \n",
       " 48598       0.0       0.0       0.0       0.0       0.0  \n",
       " 48599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 48600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 48604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 49195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 48600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 48604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 49195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 48600       0.0       0.0       0.0       0.0       0.0  \n",
       " 48601       0.0       0.0       0.0       0.0       0.0  \n",
       " 48602       0.0       0.0       0.0       0.0       0.0  \n",
       " 48603       0.0       0.0       0.0       0.0       0.0  \n",
       " 48604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 49195       0.0       0.0       0.0       0.0       0.0  \n",
       " 49196       0.0       0.0       0.0       0.0       0.0  \n",
       " 49197       0.0       0.0       0.0       0.0       0.0  \n",
       " 49198       0.0       0.0       0.0       0.0       0.0  \n",
       " 49199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 49200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 49795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 49200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 49795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 49200       0.0       0.0       0.0       0.0       0.0  \n",
       " 49201       0.0       0.0       0.0       0.0       0.0  \n",
       " 49202       0.0       0.0       0.0       0.0       0.0  \n",
       " 49203       0.0       0.0       0.0       0.0       0.0  \n",
       " 49204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 49795       0.0       0.0       0.0       0.0       0.0  \n",
       " 49796       0.0       0.0       0.0       0.0       0.0  \n",
       " 49797       0.0       0.0       0.0       0.0       0.0  \n",
       " 49798       0.0       0.0       0.0       0.0       0.0  \n",
       " 49799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 49800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 49804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 50395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 49800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 49804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 50395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 49800       0.0       0.0       0.0       0.0       0.0  \n",
       " 49801       0.0       0.0       0.0       0.0       0.0  \n",
       " 49802       0.0       0.0       0.0       0.0       0.0  \n",
       " 49803       0.0       0.0       0.0       0.0       0.0  \n",
       " 49804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 50395       0.0       0.0       0.0       0.0       0.0  \n",
       " 50396       0.0       0.0       0.0       0.0       0.0  \n",
       " 50397       0.0       0.0       0.0       0.0       0.0  \n",
       " 50398       0.0       0.0       0.0       0.0       0.0  \n",
       " 50399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 50400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 50995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 50999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 50400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 50995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 50999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 50400       0.0       0.0       0.0       0.0       0.0  \n",
       " 50401       0.0       0.0       0.0       0.0       0.0  \n",
       " 50402       0.0       0.0       0.0       0.0       0.0  \n",
       " 50403       0.0       0.0       0.0       0.0       0.0  \n",
       " 50404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 50995       0.0       0.0       0.0       0.0       0.0  \n",
       " 50996       0.0       0.0       0.0       0.0       0.0  \n",
       " 50997       0.0       0.0       0.0       0.0       0.0  \n",
       " 50998       0.0       0.0       0.0       0.0       0.0  \n",
       " 50999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 51000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 51595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 51000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 51595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 51000       0.0       0.0       0.0       0.0       0.0  \n",
       " 51001       0.0       0.0       0.0       0.0       0.0  \n",
       " 51002       0.0       0.0       0.0       0.0       0.0  \n",
       " 51003       0.0       0.0       0.0       0.0       0.0  \n",
       " 51004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 51595       0.0       0.0       0.0       0.0       0.0  \n",
       " 51596       0.0       0.0       0.0       0.0       0.0  \n",
       " 51597       0.0       0.0       0.0       0.0       0.0  \n",
       " 51598       0.0       0.0       0.0       0.0       0.0  \n",
       " 51599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 51600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 51604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 52195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 51600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 51604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 52195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 51600       0.0       0.0       0.0       0.0       0.0  \n",
       " 51601       0.0       0.0       0.0       0.0       0.0  \n",
       " 51602       0.0       0.0       0.0       0.0       0.0  \n",
       " 51603       0.0       0.0       0.0       0.0       0.0  \n",
       " 51604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 52195       0.0       0.0       0.0       0.0       0.0  \n",
       " 52196       0.0       0.0       0.0       0.0       0.0  \n",
       " 52197       0.0       0.0       0.0       0.0       0.0  \n",
       " 52198       0.0       0.0       0.0       0.0       0.0  \n",
       " 52199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 52200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 52795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 52200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 52795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 52200       0.0       0.0       0.0       0.0       0.0  \n",
       " 52201       0.0       0.0       0.0       0.0       0.0  \n",
       " 52202       0.0       0.0       0.0       0.0       0.0  \n",
       " 52203       0.0       0.0       0.0       0.0       0.0  \n",
       " 52204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 52795       0.0       0.0       0.0       0.0       0.0  \n",
       " 52796       0.0       0.0       0.0       0.0       0.0  \n",
       " 52797       0.0       0.0       0.0       0.0       0.0  \n",
       " 52798       0.0       0.0       0.0       0.0       0.0  \n",
       " 52799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 52800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 52804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 53395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 52800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 52804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 53395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 52800       0.0       0.0       0.0       0.0       0.0  \n",
       " 52801       0.0       0.0       0.0       0.0       0.0  \n",
       " 52802       0.0       0.0       0.0       0.0       0.0  \n",
       " 52803       0.0       0.0       0.0       0.0       0.0  \n",
       " 52804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 53395       0.0       0.0       0.0       0.0       0.0  \n",
       " 53396       0.0       0.0       0.0       0.0       0.0  \n",
       " 53397       0.0       0.0       0.0       0.0       0.0  \n",
       " 53398       0.0       0.0       0.0       0.0       0.0  \n",
       " 53399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 53400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 53995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 53999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 53400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 53995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 53999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 53400       0.0       0.0       0.0       0.0       0.0  \n",
       " 53401       0.0       0.0       0.0       0.0       0.0  \n",
       " 53402       0.0       0.0       0.0       0.0       0.0  \n",
       " 53403       0.0       0.0       0.0       0.0       0.0  \n",
       " 53404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 53995       0.0       0.0       0.0       0.0       0.0  \n",
       " 53996       0.0       0.0       0.0       0.0       0.0  \n",
       " 53997       0.0       0.0       0.0       0.0       0.0  \n",
       " 53998       0.0       0.0       0.0       0.0       0.0  \n",
       " 53999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 54000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 54595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 54000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 54595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 54000       0.0       0.0       0.0       0.0       0.0  \n",
       " 54001       0.0       0.0       0.0       0.0       0.0  \n",
       " 54002       0.0       0.0       0.0       0.0       0.0  \n",
       " 54003       0.0       0.0       0.0       0.0       0.0  \n",
       " 54004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 54595       0.0       0.0       0.0       0.0       0.0  \n",
       " 54596       0.0       0.0       0.0       0.0       0.0  \n",
       " 54597       0.0       0.0       0.0       0.0       0.0  \n",
       " 54598       0.0       0.0       0.0       0.0       0.0  \n",
       " 54599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 54600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 54604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 55195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 54600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 54604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 55195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 54600       0.0       0.0       0.0       0.0       0.0  \n",
       " 54601       0.0       0.0       0.0       0.0       0.0  \n",
       " 54602       0.0       0.0       0.0       0.0       0.0  \n",
       " 54603       0.0       0.0       0.0       0.0       0.0  \n",
       " 54604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 55195       0.0       0.0       0.0       0.0       0.0  \n",
       " 55196       0.0       0.0       0.0       0.0       0.0  \n",
       " 55197       0.0       0.0       0.0       0.0       0.0  \n",
       " 55198       0.0       0.0       0.0       0.0       0.0  \n",
       " 55199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 55200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 55795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 55200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 55795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 55200       0.0       0.0       0.0       0.0       0.0  \n",
       " 55201       0.0       0.0       0.0       0.0       0.0  \n",
       " 55202       0.0       0.0       0.0       0.0       0.0  \n",
       " 55203       0.0       0.0       0.0       0.0       0.0  \n",
       " 55204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 55795       0.0       0.0       0.0       0.0       0.0  \n",
       " 55796       0.0       0.0       0.0       0.0       0.0  \n",
       " 55797       0.0       0.0       0.0       0.0       0.0  \n",
       " 55798       0.0       0.0       0.0       0.0       0.0  \n",
       " 55799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 55800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 55804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 56395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 55800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 55804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 56395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 55800       0.0       0.0       0.0       0.0       0.0  \n",
       " 55801       0.0       0.0       0.0       0.0       0.0  \n",
       " 55802       0.0       0.0       0.0       0.0       0.0  \n",
       " 55803       0.0       0.0       0.0       0.0       0.0  \n",
       " 55804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 56395       0.0       0.0       0.0       0.0       0.0  \n",
       " 56396       0.0       0.0       0.0       0.0       0.0  \n",
       " 56397       0.0       0.0       0.0       0.0       0.0  \n",
       " 56398       0.0       0.0       0.0       0.0       0.0  \n",
       " 56399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 56400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 56995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 56999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 56400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 56995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 56999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 56400       0.0       0.0       0.0       0.0       0.0  \n",
       " 56401       0.0       0.0       0.0       0.0       0.0  \n",
       " 56402       0.0       0.0       0.0       0.0       0.0  \n",
       " 56403       0.0       0.0       0.0       0.0       0.0  \n",
       " 56404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 56995       0.0       0.0       0.0       0.0       0.0  \n",
       " 56996       0.0       0.0       0.0       0.0       0.0  \n",
       " 56997       0.0       0.0       0.0       0.0       0.0  \n",
       " 56998       0.0       0.0       0.0       0.0       0.0  \n",
       " 56999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 57000     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57001     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57002     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57003     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57004     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 57595     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57596     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57597     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57598     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57599     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 57000      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57001      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57002      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57003      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57004      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 57595      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57596      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57597      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57598      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57599      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 57000       0.0       0.0       0.0       0.0       0.0  \n",
       " 57001       0.0       0.0       0.0       0.0       0.0  \n",
       " 57002       0.0       0.0       0.0       0.0       0.0  \n",
       " 57003       0.0       0.0       0.0       0.0       0.0  \n",
       " 57004       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 57595       0.0       0.0       0.0       0.0       0.0  \n",
       " 57596       0.0       0.0       0.0       0.0       0.0  \n",
       " 57597       0.0       0.0       0.0       0.0       0.0  \n",
       " 57598       0.0       0.0       0.0       0.0       0.0  \n",
       " 57599       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 57600     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57601     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57602     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57603     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 57604     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 58195     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58196     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58197     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58198     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58199     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 57600      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57601      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57602      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57603      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 57604      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 58195      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58196      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58197      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58198      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58199      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 57600       0.0       0.0       0.0       0.0       0.0  \n",
       " 57601       0.0       0.0       0.0       0.0       0.0  \n",
       " 57602       0.0       0.0       0.0       0.0       0.0  \n",
       " 57603       0.0       0.0       0.0       0.0       0.0  \n",
       " 57604       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 58195       0.0       0.0       0.0       0.0       0.0  \n",
       " 58196       0.0       0.0       0.0       0.0       0.0  \n",
       " 58197       0.0       0.0       0.0       0.0       0.0  \n",
       " 58198       0.0       0.0       0.0       0.0       0.0  \n",
       " 58199       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 58200     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58201     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58202     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58203     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58204     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 58795     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58796     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58797     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58798     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58799     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 58200      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58201      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58202      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58203      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58204      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 58795      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58796      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58797      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58798      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58799      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 58200       0.0       0.0       0.0       0.0       0.0  \n",
       " 58201       0.0       0.0       0.0       0.0       0.0  \n",
       " 58202       0.0       0.0       0.0       0.0       0.0  \n",
       " 58203       0.0       0.0       0.0       0.0       0.0  \n",
       " 58204       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 58795       0.0       0.0       0.0       0.0       0.0  \n",
       " 58796       0.0       0.0       0.0       0.0       0.0  \n",
       " 58797       0.0       0.0       0.0       0.0       0.0  \n",
       " 58798       0.0       0.0       0.0       0.0       0.0  \n",
       " 58799       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 58800     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58801     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58802     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58803     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 58804     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 59395     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59396     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59397     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59398     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59399     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 58800      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58801      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58802      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58803      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 58804      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 59395      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59396      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59397      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59398      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59399      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 58800       0.0       0.0       0.0       0.0       0.0  \n",
       " 58801       0.0       0.0       0.0       0.0       0.0  \n",
       " 58802       0.0       0.0       0.0       0.0       0.0  \n",
       " 58803       0.0       0.0       0.0       0.0       0.0  \n",
       " 58804       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 59395       0.0       0.0       0.0       0.0       0.0  \n",
       " 59396       0.0       0.0       0.0       0.0       0.0  \n",
       " 59397       0.0       0.0       0.0       0.0       0.0  \n",
       " 59398       0.0       0.0       0.0       0.0       0.0  \n",
       " 59399       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns],\n",
       "        pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  pixel8  pixel9  \\\n",
       " 59400     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59401     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59402     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59403     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59404     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " ...       ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       " 59995     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59996     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59997     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59998     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " 59999     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0   \n",
       " \n",
       "        pixel10  ...  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       " 59400      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59401      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59402      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59403      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59404      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " ...        ...  ...       ...       ...       ...       ...       ...   \n",
       " 59995      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59996      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59997      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59998      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " 59999      0.0  ...       0.0       0.0       0.0       0.0       0.0   \n",
       " \n",
       "        pixel780  pixel781  pixel782  pixel783  pixel784  \n",
       " 59400       0.0       0.0       0.0       0.0       0.0  \n",
       " 59401       0.0       0.0       0.0       0.0       0.0  \n",
       " 59402       0.0       0.0       0.0       0.0       0.0  \n",
       " 59403       0.0       0.0       0.0       0.0       0.0  \n",
       " 59404       0.0       0.0       0.0       0.0       0.0  \n",
       " ...         ...       ...       ...       ...       ...  \n",
       " 59995       0.0       0.0       0.0       0.0       0.0  \n",
       " 59996       0.0       0.0       0.0       0.0       0.0  \n",
       " 59997       0.0       0.0       0.0       0.0       0.0  \n",
       " 59998       0.0       0.0       0.0       0.0       0.0  \n",
       " 59999       0.0       0.0       0.0       0.0       0.0  \n",
       " \n",
       " [600 rows x 784 columns]]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array_split(X_train, n_batches) #[600 rows x 784 columns] for each batch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "55b9c5e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7300"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#For very high-dimensional datasets, PCA can be too slow. As you saw earlier, even if you use \n",
    "#randomized PCA its computational complexity is still O(m × d2) + O(d3), so the target number \n",
    "#of dimensions d must not be too large. If you are dealing with a dataset with tens of thousands\n",
    "#of features or more (e.g., images), then training may become much too slow: in this case, you \n",
    "#should consider using random projection instead.\n",
    "\n",
    "\n",
    "#Random Projection\n",
    "\n",
    "\n",
    "#As its name suggests, the random projection algorithm projects the \n",
    "#data to a lower-dimensional space using a random linear projection.\n",
    "#This may sound crazy, but it turns out that such a random projection\n",
    "#is actually very likely to preserve distances fairly well, as was \n",
    "#demonstrated mathematically by William B. Johnson and Joram \n",
    "#Lindenstrauss in a famous lemma. So, two similar instances will\n",
    "#remain similar after the projection, and two very different instances\n",
    "#will remain very different.\n",
    "\n",
    "#Obviously, the more dimensions you drop, the more information is lost,\n",
    "#and the more distances get distorted. So how can you choose the optimal\n",
    "#number of dimensions? Well, Johnson and Lindenstrauss came up with an \n",
    "#equation that determines the minimum number of dimensions to preserve\n",
    "#in order to ensure—with high probability—that distances won’t change \n",
    "#by more than a given tolerance. For example, if you have a dataset \n",
    "#containing m = 5,000 instances with n = 20,000 features each, and\n",
    "#you don’t want the squared distance between any two instances to \n",
    "#change by more than ε = 10%,6 then you should project the data down \n",
    "#to d dimensions, with d ≥ 4 log(m) / (1⁄2 ε2 - 1⁄3 ε3), which is \n",
    "#7,300 dimensions. That’s quite a significant dimensionality reduction!\n",
    "#Notice that the equation does not use n, it only relies on m and ε.\n",
    "#This equation is implemented by the johnson_lindenstrauss_min_dim()\n",
    "#function:\n",
    "\n",
    "\n",
    "from sklearn.random_projection import johnson_lindenstrauss_min_dim\n",
    "\n",
    "m, ε = 5_000, 0.1\n",
    "d = johnson_lindenstrauss_min_dim(m, eps=ε)\n",
    "d\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "37c8c80e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Now we can just generate a random matrix P of shape [d, n], where \n",
    "#each item is sampled randomly from a Gaussian distribution with mean \n",
    "#0 and variance 1 / d, and use it to project a dataset from n dimensions\n",
    "#down to d:\n",
    "\n",
    "\n",
    "n = 20000\n",
    "np.random.seed(42)\n",
    "P = np.random.randn(d, n) / np.sqrt(d)\n",
    "\n",
    "X = np.random.randn(m, n) #generate fake dataset\n",
    "X_reduced = X @ P.T\n",
    "\n",
    "#That’s all there is to it! It’s simple and efficient, and no \n",
    "#training is required: the only thing the algorithm needs to \n",
    "#create the random matrix is the dataset’s shape. The data itself \n",
    "#is not used at all."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "49ebabe3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7300, 20000)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "32f21a20",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Scikit-Learn offers a GaussianRandomProjection class to do exactly\n",
    "#what we just did: when you call its fit() method, it uses \n",
    "#johnson_lindenstrauss_min_dim() to determine the output \n",
    "#dimensionality, then it generates a random matrix, which it \n",
    "#stores in the components_ attribute. Then when you call transform(), \n",
    "#it uses this matrix to perform the projection. When creating the \n",
    "#transformer, you can set eps if you want to tweak ε (it defaults to 0.1)\n",
    "#, and n_components if you want to force a specific target \n",
    "#dimensionality d. The following code example gives the same result \n",
    "#as the preceding code (you can also verify that \n",
    "#gaussian_rnd_proj.components_ is equal to P):\n",
    "\n",
    "from sklearn.random_projection import GaussianRandomProjection\n",
    "\n",
    "gaussian_rnd_proj = GaussianRandomProjection(eps=ε, random_state=42)\n",
    "X_reduced = gaussian_rnd_proj.fit_transform(X) #same result as above\n",
    "\n",
    "#Scikit-Learn also provides a second random projection transformer, \n",
    "#known as SparseRandomProjection. It determines the target \n",
    "#dimensionality in the same way, generates a random matrix of the \n",
    "#same shape, and performs the projection identically. The main \n",
    "#difference is that the random matrix is sparse. This means it \n",
    "#uses much less memory: about 25 MB instead of almost 1.2 GB in\n",
    "#the preceding example! And it’s also much faster, both to generate \n",
    "#the random matrix and to reduce dimensionality: about 50% faster in\n",
    "#this case. Moreover, if the input is sparse, the transformation keeps\n",
    "#it sparse (unless you set dense_output=True). Lastly, it enjoys the \n",
    "#same distance-preserving property as the previous approach, and the \n",
    "#quality of the dimensionality reduction is comparable. In short, \n",
    "#it’s usually preferable to use this transformer instead of the first\n",
    "#one, especially for large or sparse datasets.\n",
    "\n",
    "\n",
    "\n",
    "#If you want to perform the inverse transform, you first need to \n",
    "#compute the pseudo-inverse of the components matrix using SciPy’s\n",
    "#pinv() function,then multiply the reduced data by the transpose of \n",
    "#the pseudo-inverse:\n",
    "\n",
    "components_pinv = np.linalg.pinv(gaussian_rnd_proj.components_)\n",
    "X_recovered = X_reduced @ components_pinv.T\n",
    "\n",
    "#WARNING\n",
    "#Computing the pseudo-inverse may take a very long time if the \n",
    "#components matrix is large, as the computational complexity of \n",
    "#pinv() is O(dn2) if d < n, or O(nd2) otherwise.\n",
    "\n",
    "#In summary, random projection is a simple, fast, memory-efficient, and\n",
    "#surprisingly powerful dimensionality reduction algorithm that you should\n",
    "#keep in mind, especially when you deal with high-dimensional datasets.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "3eee730b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#LLE\n",
    "#Locally linear embedding (LLE)8 is a nonlinear dimensionality reduction\n",
    "#(NLDR) technique. It is a manifold learning technique that does not \n",
    "#rely on projections, unlike PCA and random projection. In a nutshell,\n",
    "#LLE works by first measuring how each training instance linearly \n",
    "#relates to its nearest neighbors, and then looking for a \n",
    "#low-dimensional representation of the training set where these \n",
    "#local relationships are best preserved (more details shortly). \n",
    "#This approach makes it particularly good at unrolling twisted manifolds,\n",
    "#especially when there is not too much noise.\n",
    "\n",
    "\n",
    "#The following code makes a Swiss roll, then uses Scikit-Learn’s \n",
    "#LocallyLinearEmbedding class to unroll it:\n",
    "    \n",
    "from sklearn.datasets import make_swiss_roll\n",
    "from sklearn.manifold import LocallyLinearEmbedding\n",
    "\n",
    "X_swiss, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)\n",
    "lle = LocallyLinearEmbedding(n_components=2, n_neighbors=10,\n",
    "                            random_state=42)\n",
    "X_unrolled = lle.fit_transform(X_swiss)\n",
    "\n",
    "\n",
    "#The variable t is a 1D NumPy array containing the position of each\n",
    "#instance along the rolled axis of the Swiss roll. We don’t use it \n",
    "#in this example, but it can be used as a target for a nonlinear \n",
    "#regression task.\n",
    "\n",
    "#The resulting 2D dataset is shown in Figure 8-10. As you can see, \n",
    "#the Swiss roll is completely unrolled, and the distances between\n",
    "#instances are locally well preserved. However, distances are not \n",
    "#preserved on a larger scale: the unrolled Swiss roll should be a \n",
    "#rectangle, not this kind of stretched and twisted band. Nevertheless,\n",
    "#LLE did a pretty good job of modeling the manifold.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "    "
   ]
  },
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