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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Volumetric rendering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this exercise you will use some basic methods of visualizing medical volumes. A CT volume will be loaded for you into numpy array - do not worry too much about file format, what the pixel values are, and the libraries used to load the image - we will get to it in the lessons that follow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import nibabel as nib\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.ndimage as nd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = nib.load(\"data/volume.nii.gz\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(360, 360, 330)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img_np = img.get_fdata()\n",
    "img_np.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At this point img_np is a numpy 3D array that contains our medical volume, its size is 360 x 360 x 330. \n",
    "\n",
    "The first dimension is the X axis, and if we slice the array across it, we will get slices in sagittal plane. The second dimension is the Y axis, and slicing across it will get us the coronal plane. Third dimension is the Z axis and if we slice across it we will get the axial plane. This is a common way of assigning axes to a medical image. Again, in later lessons we will talk in more detail about patient coordinate systems and axes.\n",
    "\n",
    "Let's visualize a sagittal slice number 100. Remember the _Multi-planar reconstruction_ task we've talked about in the lectures? This is exactly what we are going to do here - for our CT volume, the axial plane is the primary one, and we are reconsructing a cut across a plane orthogonal to the primary one.\n",
    "\n",
    "Note that we specify the grayscale colormap for matplotlib as this is the method of choice for visualizing medical images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ef16887cc8>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img_np[100,:,:], cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not very clear, eh? Your task in this exercise would be to add up all the slices by going down the X axis and visualize the output - it should become clearer what you are dealing with. This is one method of volume rendering, called orthographic projection. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Orthographic projection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "vr = np.zeros((img_np.shape[1], img_np.shape[2]))\n",
    "\n",
    "# TASK: write a loop that will sum up the intensities on all the slices, store the result \n",
    "# in the variable vr and visualize it\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x264872752c8>"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SOLUTION (TODO)\n",
    "for z in range (img_np.shape[0]):\n",
    "    vr += img_np[z,:,:]\n",
    "    \n",
    "plt.imshow(nd.rotate(vr, 90), cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Can you guess what you are looking at? Does it look like an X-ray image to you? Can you guess why?\n",
    "\n",
    "This method of volume rendering is rather basic because while it does present all the information from a volume in a single image, it does not really make use of all the colors available to the display, it does not make distinction between tissue types (although the nature of HUs accounts for that somewhat), it does not apply any external lighting or reflections as many 3D rendering engines do. In some cases it would also help to account for perspective to make a more natural-looking image (while sacrificing the preservation of relative distances).\n",
    "\n",
    "All these things would be improvements, and they would all fall into the category of _transfer function_ design where you would come up with a way to compute the color of the on-screen pixel as you march along the ray cast from your virtual camera into the 3D volume space."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Maximum Intensity Projection\n",
    "\n",
    "Another popular method of rendering 3D volumes is called \"Maximum Intensity Projection\". This method makes sure that maximum values (in case of CT corresponding to the densest structures) are propagated and prominently visualized. A MIP projection can help a physician visualize foreign materials, bones or structures filled with a contrast medium.\n",
    "\n",
    "You will create a MIP projection in this task."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [],
   "source": [
    "# For a change, let's stack slices along the Y axis and thus visualize the coronal plane\n",
    "mip = np.zeros((img_np.shape[0], img_np.shape[2]))\n",
    "\n",
    "# TASK: write same loop you wrote above (but going through the Y-axis), but now rather than adding all values, use \n",
    "# np.maximum function to save the maximum value of each pixel across our entire slice stack"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [],
   "source": [
    "# SOLUTION (TODO):\n",
    "\n",
    "for z in range(img_np.shape[1]):\n",
    "    mip = np.maximum(mip, img_np[:,z,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x26487217a08>"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FafQQXWaPYUwapBtChe86uM1UePzeitzl+7mRN/F3rkO73d7T7oOQQ6FUynx3Qt4Ii6UiZ0CykpEVX2NlRUhM7oPhPw68tHdTomFuJPrKFhNhtz9zngKvjxxAlDJSjwvd/3PBxIVid8jPMQlKjoGuS57nGgwGieCmG+g+ortTRqa7XPJGHHP2o6TCwuXYESlQGcU2Woh6okQOjmVFstyfkzeJBLfHMqK4iKrj88bjcYFrO0g5FErFk5IEKCcY+Q3/9k/04f33cDgsjfSQbJ1Odw8xjr64B9yRC9eLB0RZ9kMmjUYjWX9+TjLRuRMx0Yz5NszJYbupCLMsS4iFyMgT322hQpWUEuu4DSKG2P1stsUuVbPZLKBDIwkvQuauMK+FbebnTAKk20DUETmyMiKb6f1R+ZBkNr/D+cMNjm6b+TNutiSa4jyjoudzXC9fMzs7e0eiQIdCqdBSGG7HQfJ3/oloRiqSuV5AXKREObSEkYPxvf6fvy2E8EQjjMBYecRMXCMKujWuV1SckUtiH/h5321fFMlfL25yG/Ee97frHl0N18vfMZ+lzPVhG/m/I250c8h5RJRInsLPiv3hNpDMjsjEY1e2B4mog/1N/oV1JTqMSsXt5Xd0rd4Knd5OORRp+lxMVATS3sVcrVaTJSEp5gnuQSMnYWtgi8gJU5aMJe1umosLygSbU9+tBKmcrEzoQvkzRjUcYuTEpRvBsrnwiBbigqL/72uc62GLHCH8fsS2/6aiJTKIY8FsY9cx1pX15GeVSmWPayntupvRrdgvwc//x1BxTJSLvJr73n1Bkpa8UFldIx9nYfTJCMt9WK/XNRqNNDs7m/rwoORQIBWpqFgI+aXirmCpuC2dGp/QOPIc0fKZC6FLEBdTTGhzPamATOSVuUPcG+I6lFl9Tj5JeyapF2lELWUTMbpyvtdtIaqSim4W28/NdeQnIjdF8TOpKKnciCD8XLoQsa9cpscpGhg+N35Hd4OGhH1LBBefH9voMsjlsY5sDxGxf3vfFT+PBuCg5F0hlSzLXpO0KWkiaTvP8yezLDsu6fclPSDpNUn/LM/z1XdXzXcn0+lUJ06c2MM5SMUFTthOK0pW3guCvAM393kBxY1/cTLFiI8nHLkeP384HKa8Dk5OWikuTitMWzuTdjwljIiLCpDuAUPP/tsvXrOwLdJeC8/nRYXFfrd4kybbxQUmFQ/tdllx3HhdHFtKdPWie2Wey3k2NEwM/Xv/FCOMHKsycpdRHpLtMdrDviRqi1ya59loNNL8/Hwi7Q9abgVS+ZE8z78vz/Mnb/7/K5L+NM/zhyX96c3/76jQWphII5dBPiVKRAjRN+fC4yZBXxvdHsJri5UIozbRf55Oi4Rf3Ivke9hOti9O9Ej2+R62h2UzckEyOst2T/aPiI/tpUsTF2/kgyLiiWQp72PuUCTJ9+tnK28+k2hRKhK6vD6iDfdT2VsF+bfrQeUd55t5sKh8pPL9PNzLxpfUZVmW3q1UlqB5u+V2qLGnJP3wzb9/R9KXJf3ybXjOP0hsUW11rBSiIvCgO+pgaxJzEqLvLxUnDq1NjDj47+hbR0IxEni0PHTDzOtEojjmcLwVv2EUxJD0aDRKb+0bjUaJB3L7HK3g1oc8z9MrVc0P2aq6Lr6PLoBRUyQxXfeovDkObpdRl7Trfpbt1fFYEXmUuZm+LrrOvmY4HBaMU1QGvMfKh8qZYWUbFSMN3mfEyaiZx8fRMEaPLETZsV23U94tUskl/b9Zln0jy7LP3vzsVJ7nlyTp5u973uUz3rW4c8fjsfr9/h7rbom+NdFAtDBlAxX95LLQJMlZLm5fY+EE2i+PpGwfULSUnOiuGycauRu6Knz/M9FF9Nst7Dc/h0cbsG1EQSyLpHZcbDEhrmyRsNwY+bDiIcIqc09i/8a5EpWT/yZh7N8RDVreiuMg/8P+YD8xqkTOzM+kgTloPkV690jlH+V5/maWZfdI+pMsy/7u7d54Uwl99rteeAtkPxcnEqaE+fFsFKMXknJ0TTiBGF61+B7/Jurg/bHciGCkIiHLaykxOhJJQwqtMRdl5CPIvZjrMRrgRkqXwbZys5u/IzdFZcI2VCq7+5fYbi5UogWG4eN10m60bj/DEBFfNDxU2nGLA58VFUq1Wk3IjX3Lsnq9XqFOVHhUvB4PI5vIGfl/Khr330HIu1IqeZ6/efP31SzL/qOkT0i6kmXZ6TzPL2VZdlrS1X3ufVrS05KUZdltba0XASfxfsf/WTg5y6yqtNc/3m+iEqJLu1Y0LjSXT5eAbhrdg7LQLOsXYXjkkKio7HvT0tMCWiF5d7YjDZFg9H3u2zLeymVFiSn77ke2h4Qx20zOI/Y1yW/3JZEAERafH5VfVN7uQ7aF/TGdTpO77TcqxHFhX5RF3yLS9JwpMyTsk2q1mt7PbFf/IBHLO1YqWZbNSqrkeb558+//TNL/LOkLkn5W0udu/v7jW1HRdyOE+544kfgizPQ9HkTH+b2wpb1b8UlS0rrYktuylC005o5EKEt3yZ+TK+HCMAyPC0cqnrXqycxJPBqN0g5ulxmzPLvdrhqNRuEAay9Cc1C0qnShWBcrMX9H7olow+0jQjIhyrNTyhSm/+d4+zPWm0J3NUa0+Awq/dj/nDtGJlH5WsnYuPFlaESMVKrRlY7t4cFjktTr9UoTIw9C3g1SOSXpP95sXE3Sv8/z/P/JsuxZSX+QZdnPSzov6Z+++2q+OyERuJ+Vj5wA/7ZiKRtYTwKG+2gloytEco7P9TXRrSECiHwBv4tuDiG5r42KiO6EpET8+T4/04Str7EbaDEpG7mfaMVJShM9kCR22+MiY53i4mU9OKYRFXFxle1hYt9Gt2M/JOg+inXheFExOIJH1ya6fizTRonKw+XG+Rh5L7r2MXJ0O+UdK5U8z1+R9NGSz29I+sy7qdTtEE9Sdj7dIQ+A3QAOsl0nDxAXp7R71isnD0nb6XTnnceOoDj8Z//e1pWTipwOoxqsq7Q3QuIfk3zD4TBxH76fE5TkH13CqFgHg0FSLLTa4/FYMzMzqZ5e9JXK3gxYo6joUhqBWSnZkhOZUZnQ7aCCcp9aSLh77GwcvCC9yFutVmFs3YaIFi3R5SXnFPkNf+dIjtEWc3SITEnAcv7S+JjT8thxrtRqO+/+2draKuWbbrccijT9OEAUWtxIEnKXJxcqFyL9d5dR5mJ4N67fVcy34cVnE4VwwdDyxsnvzzzJXbdWq6Xt7Z03JbKudMX8TCMeT1Kejs/Tyfxcfxc/54KXilm1RDPuKytcclJUnE4qI7KiyxlD+WwXEYHbLSkd5WADEBMfOSaRd3GZjA5aIbi9JFP3I3B9rxUdxzQKkbHbXsbnWIF5vvm7sjJvlxwKpRJ3k8YXLdEX92AbHXiR+bMIa0mkRZdA2rX4di18f8yLIDqhVbH1o+Vn+WWZwb4vHpxk5UDI7bNhScxSATmT12U63OzdyuSCiBqiC0Yk0Wq1klKz20MOh8qY7eWOb/eXx3QwGCRE5es5VjYQMzMzajQaarfbyrIs5d4QKUahUuAYc9wjRxff2OBymNbvPmSb3Gb3JdGW0WQst1KppFfIkHti2XQjb7ccGqVi6D4/P6/V1dVSYpZWhe6RVB6VIR9SZj18X/TtScb52eQ54sSlf++FTpfMYtRgmO1DlKxY4jNNvBo1cWHQMnNis80mGN1XVFqSCv3pxeT7+b/rQ6TBZ/k6uy2RN7DCIaIhQqFb6jNcXD+Sw1RScczI8XBc4jjxHveJP3dYuVqtJhQY62iJytNjweeV1cX9NDMzo16vt2c+HoQcCqUi7YYLNzc3CxA0koEWowkPvC0F98pEH5Xv3yEK4UKl1Y8TKS5QbrojNJ9Op+r1esnK+7cRibkD15H8C9/XLO3wFz7HxJ/ZetMtISJx9IccBDNxfR0VrV2+yAG5f7iwer1eoU+4uNjnbvdksrsnibu8aekdWvWY+JxhHxDdbDYLfFdEkS4r7rchMnCdovi+MpeWSpqEL/vDv41SoqKJiM59yPofFEqRDolSYaIZYTpRSRmaoIsR8xV8DX1qkqWcXFE5MOzrBWuL5utIarLew+FQ4/FY6+vrqXwrEZKCcdL6WY1Go4AmONlt5dz2WB77gYurjFB0u026lkUsfH3MRrWQqJ1Op4VDtrmY7Ta5LXGXOZUvE8NIJLsMHyjlhL5Wq1VoZ3RV3IYokevh5zE1gZzMfoiXEl0tIjupmJRHd+qg5FAolel0dx8KFQEXP7mJGG6MqIKfk63nQpV2lQn9e+929UT3vSx7Op2q2WwmVLC9va2NjY3EkURFE0k6f+fJ5v05fi5fFUIFQKLWCsy7m+P2AqODdrud2sfFUmYdfb9D0l4c5FbsusWxkpRcByuGfr+fyjWnEndz8yxgP5MI1MjEfehyOB6VSkXz8/NqNBpqtVoFNEO3h4q4LKfIZcXcEbpyNnh2HaOC4PzjnHRgIfY7Ue4Rp3ILxYNMBUIoadkPJnLRetDJgeznE0cLRevpBc2J4/t4b6/XSzyA68vM14iMqGhiMhctbLTg7iepuBnPHI7F7hSPUzDysbV3eX4+EYH7gHyLuSAT2m6HFyTr7Hb7CEb/ROPAnBYuyCzLEkHK6E2sX+Q61tbW1Gg0tLCwUCCw+VwrKyJFl8W/o7EhmvS8sIIsQ72clzRofmaz2byjp+kfCqVihOCJZLbcUQ6peMwhIbwnECcl/7bl4f/xBedcrC6LroSv5fm0o9FIm5ub6vV6e5BPDH9aaUYCOJKuFk9EQnkqrX6/X0AEXoh+RnQVXTciJbpc5A2Izvw/EZBJU/eJlR6VZ7Va1ebmZqHObovRCZVQlu2c10qrzbpZqVDJWDgvtre3denSJVWrVS0sLKjT6ST3yCgtIhWXRWTKOhsV+hnMjI3omPySZXt7O6UpsBy3pdfrFebsQcihUCpS8di/MoTiSWOlwwGN13vg6UZwsu6XmyDt3ZHMRed7R6ORut1usvyerDEkzHI8OXl6PQlES/Tl3Vb3CychEY1dMiIiRk+iRKju+lJBkxcw/8K+cD2joreiobIy5xI36kkqHNlAJW+lFt0PK9GyZED339bWVnpOo9FIPAwT2ojE3BdxI6TnXCS66R4SIVtoVOh+cYzjHDxyf26xmMi07+l360SoSgUQCTNaWS9ET+Is2000i1aBhKy0ixS4hd3lG52wjGiloysQFQQtv60YJbpzXgjValXz8/PqdrvpGlp+57T4SAM+l2gq5lJY8RhZmAQln+Fx4DurvVgcobG1N8/ke630zLG4T6lgraCZiCft5ix5A57Hn/t2okHhvdevX1ez2dSxY8fSWEUXh+Noo8F5Fecfo2r8nNdbAdE99Xh0u92ELOOrdg9CDo1SoYKIAxf5kMiZSOXnlDpa4AlOBcUkMFoM8gsR3Xhh8PWmdGm8yGmpqRzKCMYyt8jtj4S1lawVEbM+Y/+wD/29FVQkFf3DTYdGRdLeNwhaKe2HhHiQMxcxo1jMWI5o0gqGnxPxuW8t7guW5b+r1apGo5HW19cLL1Hzfb6O4jpHhRPHju2Kc5XoxW3gdXStD9L1kQ6JUmHn2m0xsmg0Gur1esm1kIovlIo8AcUDa0KT2bf83lKr1ZIFdJq4J+nGxkYhx4LRCsJyLzjmTZC89DO5h8niRU+S0j/sF0uj0UiIjmiCi8WTl1yI2+qyueOX/r2jJd1ut6BYfW982bm5JlpfKk0in0hqsz/pVkynu/t+3L98JhEYyyZS8H0rKyvqdDopH4eKgHufHN1hlIpKxM8hQU6lT4KfCqPT6Wg8Hqed5IPBoBD1PCi0cihO0/fAM7fCFpNne0p7LYZ/E3nw+4hyaMnsUkRhJMr1I1tvVylmocaF4YnC/2O7e71e4io8kUn0+j7X1XW3pbeljCjHCiH2FRex62CXgyiGfRCRTxnvxL5jvf1sh1OdADgcDpO7xbay3Pg36+W/o1KOfUxi1lyYryXPYcRl7sX/2yWiEmJ/ksthn/J3rBOPoyQqPSg5FEhlvw61colhO18fd8OaiLPYwhgVRD+c0RqWzTwVcwTmGZwnwb0bLo8Wv1LZ3XEb2+RFzX1Am5ubkpSS35jk5ra4XEl7yjZKyPOdSJ1AiuQAACAASURBVBoXP3NN2H4rcYaJ2b9cpLbeVJwkd1037rjmgomkKiMhVPS+3t9RCfpahrLpRnIciDrYXtfdUSEqF+5mjwRrbCv7h8aDZC7Hj5ydr+31etra2jriVG6HRL+ZTLqtmSX+HQeKWt9WzclhXmRxcfH+uB+E0Qem5nPCSLuTja+F8GT3hOU93E7AthsxOMTKSUneJrbD7pGfT+QUYTjdMi54Lpz4bCLJMi4gy7KCQvFz+L3714uX1p39Yd7GSpI5PHHRRz6GSpBjTI7KhqHVau1pB5WU+5jI1r8Z3duPU2Ffm69iOxlUOFIqt0l6vZ6azWYaPO8Xcc6KVDx3IpKsXkSe9JEcZFQnhj0tnCC2+P5cKk4ilxfJYNfNE4aKhvxIXLRUct5MSNfD7SOH43b7eysWi91H193Po9vEthFJsWwqZKbQxxwdRqosVOhc9FxYg8Gg4HIRTXJsI/9iMbqLi5UujO/xdc4AZl+Sh+Hz2D9Mf2AdqPg5P5l8SHTtQ94P0vWRDpFSyfOdpK65ublEhHoy2JXwpIsTwOJ7PPCc3LRWklII1aHTSPyZbOQCZog7Ep4OXTt9nwQp4bcnFZWZnxF9a7tYzrPwtQwLW0n6OeYrptNp4dWsXAwuxwvM/UGERovLPvVC56ZNu5cmjVmO280Fx4jUcDjcg9j4N604jUBUIPE1tdxq4DEyMmGbLQwEWEG7D5j0WHYfFbHJ/mq1mjKDPU/cX+6bSDoflBwKotYTiZaKC47vAOY95BfoPsSdqv7bZfM5XlgkU30tUY60G5Kmlee7hD3RGcGxREvrye66uA/KJtj29nbBtaASomtDxcWcEJKb7k+7WWWkIevje92vZWjCFjhaXbpJZQo+oqSoUKi84lxxnd0HRiomWd2/TCZ0nagU3Gecc1RonA9xLlk5+DP3NeeL+znWgfPhoJXKoUAqntC2Wtz4Ju0MfKfTSdmktJK0op4MDgf7Xg7+ZDJJSXDtdjt9XuYy0b0igUjlZFRlnsAvsPJkKrOKTG0nvI8wnG6RF7atMslIcj6SUgIXzyWxq2KlUqlUChEkjgV5BSM69rHbYhLb7XD5Rk9M5ydym06niaBkWzlm/u260P0lgo0ozUjRfdpsNjUYDBIBLqn0MCmPq8siiR8X/VspgZiFzHEiPyMpzecjpXIbhL4+owSE4J74MdfCE8+aXyqG8vgZJ4utm68jN8N6edJRysg78iyMSHlSxuSsmLwX+6JM3B88x5XWntsFyjZkuvxIcMZ+YkJbJK1j6NQKzNcxMZEKiNab4xPHyf9zTvB6KzC7g8w7YrvcN4zcGSG6HPMdNg4ug4qac20wGOwhvWO93V6X4f7xHIsI6qAVinRI3B9CxK2tLUlFayUpbfPnoBJFOKHJUQNa5visCPnJ9JPcI49CK08+gtZSKi6CZrNZcCv4HcOgvo8TOfIrsT+MElwfuzRGS9PpTm6NP3Mb3H6iH9fJk53tlXaU2MbGRvqMaMSLxWiN6fbSbi6QnxsRWWwvF6W/Y1mNRkMzMzOq1+uanZ0tKBXyLERpdL3ctsgJWUE6dE4uxvcxakYXjBFIEv08RDsGGjgOBy2HQqlYptPdc06logtQqVQKUQ26IFyAtjxEHvSrbZWYv7CfRAvKqIAVChUGFRJ5D6eHGx1FhMJ60OXhNf48cgQsKxKI5JnIWRDV+fsypMBFEl0wIh1yNb6GiImoab82RH4hIlD2j8VI1ciEKMrjQJfL84LjRPc3Ihk/j9Ek142uXdyWwX6l4qDLRb4mtut2y6FSKtF60nf3ZPRmuUiCRijPBUGOxpOME9vPcblEKuQRXD9p10L5Gm6Rl3bT/N2e2dnZdCQiI0JeEFGRlE06TjySpZZ2u13YZs+IjlEKy/ciY12MCvwdUYnbTZ7HbfV1EQXEOrpsfx4VCT8nt9Vut1WtVjU7O6uZmRm1Wq3EDVEBGM3GMG7cHU3l72eyLCIQzw32Deebr3cZZUqT85R9F9t+EHJolIoHyROT7LohuaQ9i4+IxcJB9GSKW9qj9YsQOpblxURL52eUfU7I7cXtv5nfQI4jcjexDpFriPwINwP6e7Y1WsNoreOiYV/x2X4ekRr5KY5RRA7+O45lVJoRsXDBRuND9BXzTohKrMCZ3EcUEpEp6+K+icqJz7fQBaJw3GME8iDluyqVLMt+M8uyq1mW/S0+O55l2Z9kWXbu5u/Fm59nWZb9H1mWvZRl2V9nWfb9t7Py/1DxoA4Gg0II1IPu+H+tViu8OCtaYG6wo6WOKCi6LSTl/BwmVXEhUfGYu2Bo28921KFS2T282ZwAyyJaie6JVDyukJPRdTdvYd+9Wq2mV224/8rco7LFRoXgqE10ddh3RDxcOFzQUlGBUsFQ+UbXxO87brfbWlhYSP3a7/cL5Levt7sVI0+RL/O9VkTuE9a7VqulSKEPH3fbY96Q+8qfmYOxsqWrZlfRctC8yttBKr8t6R+Hz35F0p/mef6wpD+9+b8k/RNJD9/8+aykX7811bw1wkVD94ZogS6HF6oXAl0VIgEuCJfPRVtm+exuRTclKpXoCnDfTuQi3C6HhGndadG5MMsmK9vFhUq+g21zW8xzeFFZGfB5dAlYN5ZLJcHnEBGwXwn1o1V3f1Kp8l67jYx2lW0xcJtcNxP3VJYxfF8WiWK9/JvtoFtehpJdFkPYvNZlErmSKzwI+a4h5TzP/zzLsgfCx09J+uGbf/+OpC9L+uWbn/9uvjNyf5Fl2bEsy07neX7pVlX4Vkiv11Oj0dDs7GxhEK1MYk4JJwbhKEkxLh7uCiYMtpRNFk5oTwKGkX3OCZOfSDQyx8Tfj8dj9Xq9wuL0pki6Y1LxdSXcj5TneeKZzDE4V8P95ftjVrJDna6ry2NUjQQk73V/ux1Mg+e2Cl9HRObnUHFHBOQwsPt3MpmkVH5u/PNz3b/cPd5qtdTv9wvkOPuFSY8WGy7WlUdulM0Z5gfNzs5qa2tLo9FIc3Nz6VUjnFdG40R+BynvNE/llBVFnueXsiy75+bnZyRdwHVv3PzsjiiV6EZ4cPmOFg7sdLp7Xgevp89N/9ff0UKRt/Fn0QJVKpVC6n7kSTi5+ByWV8ZBxIVjK0olEhcf28nvyQPYlYq7jf03Jy77iBsJnVJO/inmUrCMGDImkUn+iigvjj3/pnuS53nBveX3LtPKw+3wpkMe9M3T/FmW613mdkSF6b7j+5XIxXDs47PI7cT+L8uLOii51clvZYxQqUOXZdlnteMi3TaJg+qJMxwO1e/3NTMzs8fVME/BxKWYNu+B52Lm5PSkjN9LuxPECV3kK6bTaSFJyvVxedxuT2UlFV8EzkjU7OxsIXfGE5dRGdeDrpD7hX77zMxMKsfZwoziWEm7jvV6Pb0lcTgcpsOQ3NbptHjY0czMTEI8jHD4pWbuP99DjikiR3I9HGPm/nA83A+1Wi0hMfeH/ydyiC6akRz5G84T9ilRsOeMDQ2PNuCc9N88VJ2KkHO82+1qfX298OyDlHca/bmSZdlpSbr5++rNz9+QdB+uOyvpzbIC8jx/Os/zJ/M8f/Id1uEdiQfB6e7+jIMnKW0lt1XyfTzz1RORyXXR6hoxWMrYfIsnOsuPJC+RCtFLTCt3eYbg5lnIx9CyeiFGC89JbgtPvoVcExdFnufpoCRp73EG3m9kctwKiJwG+4ULmUrL/8eFyAXlRRx3ZZMHsuI2j8IoDPfYeDxNhvIZFJKpvie6Q0S1nA8cf7ePCMuGh/yXhRyYn3HQ8k6Vyhck/ezNv39W0h/j85/JduRTktbvJj6Fne1XX8SB4YLgwHABlxG1EZEwokFehgve5XlykrFnViTRAOtqJcJT3LlfhhyEJ7VzcchXlHENRjmtVquAfLz4fK8tpyMY/X5fW1tb6na7+5685v4cDAba2trS2tpa4ozoDhgpmEvwom42m5qZmVGn00luiReeXSUikkajkXghK9fo4uV5ntpC18tjwXlB/snP9/UxwzZKdBc97tHFc724r4dRJQvnou/b3NwstO2g5e2ElP+DpK9JejTLsjeyLPt5SZ+T9GNZlp2T9GM3/5ekL0p6RdJLkv6tpP/mttT6XYoHlgcVx4Qpae++EAsnuydkdEPiROdzGaKO4WpaUC58S9yZamXjZDiXx2Q0ujKso0lXwnIjAkY0vEBp0dkPXABuY4xQ+X5yOjxYyufUulzXxUrJfeKF5Wf5hDWGlr1AHdWJ4+Hn04XyNRxHK1zXh/3ifo/5TXF86BYzuud20o2JiMOGwuPvdvt/hug5z+I2iYOWtxP9+al9vvpMybW5pF98t5W6nUISzIMWEQAzbG0l2u12Qjc+3ImvEvV99L89sHSBrIy4k9VoxgvT5fHYg+guGaZ7ITni5MnJKBYRkxcXw55MIXcInciMeRlGLs5ZIVKjC+mNdlRAVlDkfbxAq9Wqer1e4bBrL3ojAu7LYsKiX69Bt8lKzDwO+zWS1HTRKL6PSIb96PGkwnNbrSziTm8i4siBxXnK61yfqEDoohPNRC7pIOXQZNRa3Nm0EF5o1OqRG7GQiPT3XJTx2IFIBPI+l0fUQitNBcEJw2QwunAul7xNhMCe6G6zuRDzIeYdSKB6gXth+3M+19aZC5sIzC4HI0huCxeVo2+MHrkcv7c5brrj2FDJW/FE8pmKkiiBY+3+ibuxSSD7J/JF7HOjicjZUYjo4nyjK8ZxZH041hyvO6FQpEOoVDjhV1dXC7CUvmuMUnAx+HtOloh+pL2JZb6fvEZUHP7f0J3Kyc+JUN3WjEokHr3ASBOtLDkecxqE/q6Pd+36Ph6VaEVKUteugt0cRze4gImIGCL180mkGgU6W5jROCoR14nubFnmM/vJJG4M0zpnhW4Glb3HlQaF+5KIJkgse0z8LBLqdFX5vdvH/rICoRJzXtKdUijSIVQqHDSmRkvFnBNf68GKe3to6XmtB5QRCd7rSeLFYlRgiRvwqHTIX/g7L96ISOi3xxenkxCMi4OLyn1Rr9cLCW9Mjov32HJbkRB5xQUQUVVEar6HaM6oivkrUclHq+42eEGy3VFBEzFwcbrudNvK+iAiuDiuVppRcUR0R8QSXUu32f3l8qzs47w8aDkUhzRRPFEcJfEB0M7dIJtvC0MUYU7EVn1zczMppjjROaARilcqFbVarcTPcJLZTeBi9eJiWJMT0N+7nkYNnHB2n7wAzclE39tl1+v1tL8n7k/hInDdXS8vek746JZMp1N1Oh1JO4dwU0m73/v9fgrt28q3Wq1ESvtF8nGxky9idjLrS7EL6D6RlE5U45hbKTGzmYqSKQpWrDYYfNEZlVHc3DqdTlNeDnOTXAcqPLfXRqXb7WpjY2MPij1oOXRIhRbeIVsPFMk/LwSSZJ4stEaMjnAg42BSGXACWiL6iAjCf1PJ0KoS+sefGF2IVpd1IJJrtVpqt9t7+s7XUkFG98X952vZr/T/XfeIDqyQIs/lZ1C5lFn6mGNiJcNr/Flsd7VaTQdRRXTlsqm8I1rlnPCi53Mjf1L223/TyMUxYt+7j/me6TuBUqRDiFSkImG3tbWlpaWl9LmtAyWeZWKlElOrbXWcgk+fmBaHeQycfOPxOCWAsZ6RMyH09bV2cRiB8G8iHLpA1Wo1RaG8gCuVimZmZlIUiIQw+49uA5WvF1UMNbuPbJHZNkZ1Yvmj0UitVispGZdfq9XU6XTU7XZTn1mhuV50U/m6WKm4sZGvtvD33Ebh9nAspB0lwV3bNBREq+4fcjnR5aJB8r4dRuvIq/geGoXpdKrV1dU9LtudkEOHVKSiBmdiGV0KXxfRAweTkR1Je15pGe+j9fH9hNXRskSrRJ+dFr3Mmn43YYiWHEmz2dzzwjAS0RYuOKIlK1GiF8J25uWw3Xz9LO8l7xLJyVqtppmZGc3OzhYWq1Q8EKssCsb6Z1mWjo1gn1rRxogKv2d5VNiRfC0bX37G+UEyniiH5Ub3Osuywjum93veQcihRCqE4NvbO68EPXHihKTdg449aWiVSKhy4Kxoov/M6Ia0u5GRJ8T7b0dHjA4Mv6ViqJSKJU7YGIWixZpMJmnRZNnuZjhP0na7ncK+PMuDC8mfMX+G1rvsnFQuRtclWnySuMznYV9HFOa+brVa6TwUI0+iB9fVL5tnvcnzUFkZmRAJsL6cQ2yv+zIS50Q60e2NETC3iTlIrK/L9f40X8NwvvvmTm0qPJRIhUy84aYhNCe4tHdXLy2Lf3uhkwPwIrClJbyP1pbWnZNS2l1wPGS6jIQjORmjRHSRopWtVnfS8cv2BVGpRMjOZ3rSu1+dys5+IArkZ1SS7C/W3T/MYnU9XJZT8d0vkcdwW0lsWmIkheSpw8R02ajciDBMahPNEqVZ4rM9J/1/RMdEPb6G/BrnGOcin3mQciiRilQ82b7b7apWq6Wdt4Sx0m7WIo9MkKROp5MmFpWOy2CkJU5AIwveI+1MGEPx7e3ttNs08itEEJyA/psJbkRdbpPfpew9MXaFOFH524szuluR6+Hfrqf38XAHNpPb4qKgFSYB6fo7+ubnkcMx4lxfXy9kRpNc7ff7qY5+q6DLd195PKmUiTIYjbH7ZGVlJWX0FMde2nvsA1Gwv4/unq93mcxW3tjYKKDD6DofpBxKpCIVSVBO/DKhUpCK6dzkHaRiREEqMvnRxyV8Jgz2xHR+iK9hGXS3DOPdFroOtK6+p9VqaWZmppBJ62s4kdm+PN/d8EjXyv9z8lMZMNnM/5Orcj/Q+nuRUlFS4bnNVhhUyF7YrVZLs7Ozarfbpc9y2aPRKLlLHH+iC9eXipYcU8ybkXbP54m8m5/NMYqksP+OuUQxMmnZ3t7e8+KwO6VQpEOKVGhlvQgM2fn2QSoTLzpbUak4CWlpPOHNT1ixlO0P8XN8mpkRjHM1Op2OOp2ONjc3C1vtpd0wdSQ/qSxtdefn59PiJDkcEQmtHwlh152+Pslt/5BPcEZqVDokQFmG7+WJcVQo7G+32fyP+5lh7izL1G63NTMzk5RCzCuKqfORN6Gi9fej0ShxUPGlY4zsNRqNFOJlBND181jNzMzsUT5uI5UMFZUVmHkkn1pHF/JOyaFVKlzUHvRer7cHhnJCTae77w1ychTdg8jy2zo3m81C2rlUfA2qtPfgHyfXuaz5+XmNx2NtbW0VIK4XS7R+ntx2E2KkgG0qi3rFv0l6RgXmBeLDmOjmREVo14xW2O3cjxyl8nWq/tmzZzU/P6/JZKKXXnopEc/RELgNLndubk6Tye7RkXxuGW9ExezfjUYjbVR0Pxtd0VBRmRC9xjnI5DpugYjRI46Hy9ve3nmvdUQ1d1IOpVIp0+KTyUTr6+uSlN4BIxUVBDkCTxpbyxi9oDhrVioe8pRlWSKIbXXsjkSC19cwGY3fGz01m80Cf8DvOBGJoKS9BySTQ+H+m8iZsP/cR0YaJBoj6Wu3pYxbcdn+bb7i+PHjuv/++7WwsKAf+qEf0unTp3X27FlduXJFv/qrv6rr16+r1+ulsYm5I0ZpdvtIatq9c93tUlpx+Hq6piR+3Yc0EkymlHZdVpLS/tzKazKZpIza6Baz/6ice71eqcKPKOyg5FAqFalIwNGHjfA+hgC9SOKb4Tj48XpaWqkYYvTE4xEEjBzY32cZtF50O6w0YgIfiUy2t9FoFBLHrDT5JkA/u8xl9PeRgIxcgpUF+RFJhc2A5Fliv9I1YyTpxo0bidRmOr6fxT7l2BkZuL520Zz3QsTi8fA4xT5guzlOHAOON4WRH7aTLzGjOxtRi6TkXrFszu07IYdSqXDhevJ48m1ubmphYSEtXlpy7p8x4oj7eaSikoqHIEULlWVZcqWiUnK0KZJ6nKDRGsVIjOtFLsWQWypmfhqukxSmYuEuZIblGRqm4nAf7/cOGitVLhQ+29bbiomvOO31emkbwY0bN9JZuHyGF6GRkhWrx4R9xEOufG+ZcYnuUvzt/o8uixGk+42KmKg3jqW5NiJD7uva3NwsKHK3805yKocy+kNrSDeBC0PaXTiE0bR+tLJ0EwhRaTmj0uDC8/9ECJayyJC09011/JyJZ/GZVna8nt+7LD+LP0YJkZRkHbio6M64PIeFiU7iPZGw5G+fEtdoNHTt2jW9/PLLiYB1mdH1cd3L0GS8xm3iwowIoexzKvrY70ZJzJGJSJmZskYoPEuZZdkIWJEyAnin5VAiFVpTTnhPyvX1dS0sLOx5/w6tkbQLceniUCH5e08muzkOIRpSlykRoxT/79++1nUltI87iCXtqZfvN3dg5dBoNHT69Gk9+eSTunbtml5//XWtra1pfX1dg8EgPZvnzsZn2VJmWZYyWGnJB4NBarPDsLwvKh9a3+FwqPF4rOvXr2txcVHSDvf13HPP6dlnn9XW1pakXVTkPmMSnMvnGBGlut7xmAuK20Kj5L4xemDCm5Ux0UMZyvS9UZGxzu4vc2JbW1vq9/sF41HmRh60HEqlIhV3+Ub/2BvMrFTsE9PH5QJn6M+QlYsu8hsMSRPR8B6WR2G2p4UwPibcMcwYeSS2o91ua3l5Wffee6+q1aqOHTumlZUVvfDCC1pdXU2wnxEavh+JiINukIUuH4lkRsHcXv/tvjYpKu0eJuUXqfd6vYRc7I7apSTqGg6Hpdmt7gtyXL7H37mN7DcaFpbBe/252+rn2xDRvbJRi/0V+Th/ZgMVuZY7qUwsh1qplOWNOHoxHA41MzMjaRfOxoGO5GW0MsxitXX2b0eE4oJnurZ/2xf3byoRaZcXoRKjZY6p5uYnXLdarZbcoccff1xzc3Pa3NzUq6++mhQkT85nfxGux9dx8Pme/HFPC11AW3kSm25bo9HQ3NycTpw4oQ9+8IP64Ac/qGazqY997GO6ceOGLl26lBCVtBvxMiKzofD4mpDlYp1MJup2u6ke5s049q4rM2JjKJxKlQRvJP49Js5nsZhjcd+TqGX/853g/t5z7oiovUPCRUaYORqNtLKyovn5+ULExhOLoU//z0F3OJBuFhOXmLNijmEwGBRCr/58NBoVXA5OSisDR604kW21pZ3F0u/304vQKpWK5ubm0us/8jzXtWvX1Gw2tbKyosXFxfQ8T2i6TREp+fv4zl4uBiI7ptgT0ZBT4KKli/b444/r4Ycf1qlTp9LLx/z62nq9XjgCwoSuP+Oi87PIs9RqtZTQ5ixVf+7fdBmN3Dif3O9R8ZN385zxc+NGzKh8OA5WcIPBII1FdH/utBxKopYSoxEewOl091xa+vfkCN6qLEl7lIC0e2hQWRlEQuPxWP1+f8/mNrs2PqSIroStHgnPMnfE5TO1fGNjQ+fPn9dXv/rVlMIvFV+6RsRBdESlEYlq95fbzOusOCPaoxtAQnc63ckezfNcvV5Pk8kkvWOICWiulxexlSzrx3wgR5UoRioMPZdFaDzudF/d91SkJNuJkG186CZx/rjfXQeXbYNQNu+O3J87KDHkSm7AE9gL2NfH6AAtBIlFl8ukMD5L2j3khyHCVquV3BVPYr5OkyFgP9sLz5PPeRf1ej29VsTox3W0++UU9izL1Ov19Oyzz+rJJ5/U6dOn9eijj6rX62lra6uQDRwTy7wonARIJEdF5nsi5+DrorvoNo7H4+QiXLt2TTdu3FC9Xtf58+f1G7/xG7py5UohOc+uGN0S15EKM8/zwgvW+/1+Qj10u+g+OtuV41uGYEnQx7ni/rBQ2ZRxKNzYaiXU7XYLfcT5e6flUCsVC6M7JAr7/X7aaWqJMDPCzWhVpOJB0xa+EKpa3T1XxZCWm8eosEjM5XmuTqejpaUlHTt2TNVqVa+88opWVlYKGbpeUFZOdLHsdtnC+7WaWZbpscceU6vV0qOPPqpz587pueeeS2308/eD+e5Pkp/+nhOfSIfKxW1nFM1oYzgcqtvt6sUXX9TFixfT+5ckFbgqK+3xeJzeDUTUZ5QynU7Twd4ui8iOPAaJdI6/lXh0XWKODOtGgpgKOKLb2HfdbjftE3P9rMjeE0oly7LflPRfSLqa5/n33Pzsf5L0X0u6dvOyf5nn+Rdvfvc/SPp5SRNJ/22e5//pNtT7lgt9Vk8A7/zky8g5OXxfjOgwciTtzQy1GF1wIpKU5b3+4S5cSfroRz+qD33oQ5qbm1Oz2dSjjz6qV155Rd/61rfU7/fV7XYL5TDZzNaYiGo8HmttbU2tVkvz8/N6/PHH9du//du6cuWKOp2O1tfXk4KKKedGSH4OeSjuY2FbvYBjtMhinsMK4fHHH9f29ra+8Y1v7FlERAYmMcfjceFEPmeg0hVi0p9RipFVq9VKB5Tb7TCnwYgOXVe6N6xjVE4cd/M+nDP+zcTIyWRnO4nfW+RyiVjutLwdpPLbkv5PSb8bPv/f8zz/X/lBlmUflvTPJT0h6V5J/1+WZY/keX5nNiG8TYmTmu4FzzbdjwTzZCFxF6NLlGq1WjidjBObC4+EaAxxOjKyuLiYsmzn5uZUr9c1Go30wgsvJKLR11t5mFPwwuFO4l6vp42NDZ05c0YXLlzQ4uJius8Ly/Wh+0Ur7nYQEfF/RtroGto9ilEmErj1el2XLl3SjRs3tLS0VEAwNAx+Ttl7o9mvJM/Joxw/flzLy8v60Ic+pGq1qj//8z8voEgaHyprIlmOq8UKgmXEucV5yGiO5xYzh4le7waUIr29157+eZZlD7zN8p6S9Ht5ng8lvZpl2UuSPqGddzHf9eIJzMVh33w/SOr7IidA94jhXLpBcY8OJ0VMwjIisrIxF5DnOy8em5+fTwlnnrSutxOlqPC8OMzh2FJvbGzor/7qr3T9+nV94hOfSC9c90+sk5VFhPbmXUheEq4zGkPF6n5yf3NB2fVptVr6sz/7M33605/W0tKS3njjjdSXjtx4U57vjenxNhisd7Va1T333KN6va5f+IVf0IMPPqh2u61ut6s8z/X1r39deb5zUiBfphaVKdvENjNnLTh78gAAIABJREFUqFarFZ5frVYLLjHnFYlvu3NRkdwtro/07qI/v5Rl2V9nWfabWZYt3vzsjKQLuOaNm5+9Z4TWh4vPVoHhR4uJPGnv6ykZQqQvTiXlRe1nlAkjI0QxL7/8st58882EMq5fv66VlZW0SPxsl8GokycynzudTvXqq6/qjTfeSJOcRG1sj7SL9Bjadj+472JfeqGXKR2jJy8an3UzGAx05coVLS8vq9FoaDgcanZ2NtUjchUmjul6ut94tKav8ZjOzc3pzJkziQurVCpaWlraE8WyAZGUnkXxfHE7KVQoHhe6YHSNrKAGg0HKoHW/EyHeLfJOidpfl/S/SMpv/v7fJP1Xksr8g9LWZln2WUmffYfPvy3CwaKFYcgyuiXSLkylZeaEMOdS5sp4MhPtkBsgMvA9hOEvvPCCXnzxRZ05c0aPP/64fvAHf1CnTp3S2bNn9fLLL+vLX/6ytra2kovEUK65BioUaYePWFtb07lz5/TKK68kVynuvCXiYFtjSjp5FZLhVhq+xuHtMr7BL9d67bXX9PDDD+tzn/ucXnzxRT399NOaTCZpQ6ARUrTmjvgYzUm7KNJkuV8+H1/veu3aNV2+fDkR3Uzv57h4DKMyt2Jx3ahMiUiJ/Px8RsIGg4Fu3LixJ0jgPrxb5B0plTzPr/jvLMv+raT/++a/b0i6D5eelfTmPmU8Lenpm2XcPT2iIjzP852ciHa7XTgLhVaOEymWQQXFkDOtOZ/H7y1cYITxtuiEyydOnFC329X999+vubk5/f3f/72uXLmilZUVZVmWDowiIqICyLJMi4uLOn36tL75zW9qZWVF1Wq18I7eiGyIwAjJyxCE+6osamSJOR8uq1arJULaim5jYyPxMHSZ/JsKz/0XXdxKZeddR7VaTQsLC1paWkruYrPZVKvV0vPPP69+v5/e0kjitOw3x5y7uxmWtwJlH1DpmDhnGoD5I/bv3SbvSKlkWXY6z/NLN//9cUl/e/PvL0j691mW/WvtELUPS/r6u67lAUkkxBim9Eut4uKmOxO5AgutJgnZtyKAPfn92k9OVqMih4Jdbr1e1+XLlxPxOh6Pdfz4cQ2Hw5Q05jJdT7sRDodub2+noycvXryoxx9/XN/4xjd048aNAnfCNktFhWnXxWFPcgJug3+7DC90krvmRJrNptrttj7+8Y/rp3/6p3XffTt2a3FxMS08IzH3HZ8VQ9qSUh/Uajtn9jpT92Mf+5iOHz+ubrerr3/96/rKV76i9fX1pLyIUq2UrKTJq0hK39nV8ZgaLTqcz/1Dnh9ROfn6+F5sIsG7Rd5OSPk/SPphSSezLHtD0v8o6YezLPs+7bg2r0n6BUnK8/zbWZb9gaTvSNqW9Iv5XR75oUTNz0Xk9/AwPEyS0i6QtPfAYiopug203Hw2lZInKsniOBGdhr+6uqpqdecdPpcvX1av10shVN9rhWPk4IXLlP65uTlNp1MtLS2p2Wzqxo0be0K/5BMI311/t8uRLipPIi0qJS84uoFZlunYsWOam5vTAw88oDzPtbq6mtL0FxYWdPXq1VR3cx1M1qOQD5F2+JOFhQU99thjuvfee5Ny6Pf7CeUxq5kKMrqz5JG89YL7hzgXmOnL+Uduxt/ZBeK4uY/uRrTydqI/P1Xy8b97i+v/laR/9W4qdTdIDPX1er30+gdbVg4u09OlvftAuOD8N/NbLN5w6DpYqEQkFUhU++zf+c53dPr0aS0vL2tubk7j8Vg3btxInMr29vaeE+ts+YwqrBwXFhb0yU9+UufOnStEZIhUmJtDPoVttXIgGmFuB12RGBamS5hlmU6dOqWTJ08WQtTtdluzs7PpNSvkrvibXIrbbren2WzqoYceUrPZ1L333pteGM++Z7Yyt1rEyCDdK7qydIciH+OyPT4MAvDYDI9dGbK9m+TQ7/15K/HEdbTAg88JwgUkqbB4SLzFiUBLRxQQuQb7/MzVMLHovz3p1tbWdPny5XQUQLfbTXuEYsSA7gG5h0qlotdff12DwUD33nuvHnzwQX34wx9OmwxpsUleR/fPzzJqIJdi5eHPI2HMOnEMHIWSpAsXLuiVV15Je4CMyBwpigqeoVi2w5yF79vc3FSWZXr11Ve1vr5eSPP37+j2WkiwRh7MxsVj53bG8148H9xXEUX6mXcjQrEcpem/hdBNmUx2ju6TlFK+rQDoJ8cQHxcxFx2JOoYpHdkxZyLtTXzjpPKmR0+8559/Xtvb2zpx4oQ2Nzf35JYwmmCJiKDX62l1dVWStLy8rM985jP64Ac/qGeeeUbXr19PeRpUliQ9LXw3sTkbL5jIC0SFTUXa6XSSm9Jut7W6uqovfvGLeu6553T58uWkmMy/eFF70ZK7YpTN4+rnnDx5UpcuXdLVq1f1+c9/Pu0QJ2KlcuRYlClB9rmkPWjW7Y6hbV9bqezsOxsOh2n7Acu/WxXLkVJ5C+GEkfZGSSxc7NFH9v92a7gQ48SjgiqDuTEiUhbe9sKeTCba2NgonLJODiMuXroiTqQzOViv13XffffpnnvuScokkqpUHmXRH2aH8ngC9oMVuO8zEb28vKwzZ87oiSeeULVa1erqql544QWtra3tQUNU0C7b/URF4DpUqztHKiwsLGg4HOorX/mKzp07lwwIEQkVi9vPCE4krZnM5zlg1y8S+pGnknZzX6bTaeENinerMrEcKZXvIgyHbmxspOiJtPdFXLaQJHGJYqK/TFeB0SRO2pgM58iKLXs8AMoZwH4LYb/fT4u63W7rqaee0vb2ti5fvqzXXntN165dS76665ZlOzt2q9Wdl5Bdu3Yt9UGn00kcTdlp+M7lIHHN3A4uIm7e8+Ix6qjVajpx4oSOHTum7/u+79OpU6c0GAy0urqq0WhU2D7hMfBzGYnxy9i63W46fIuLf3t7W0tLS+p2uzp//ryeffbZwmFPVNw8QIpIlYjH9/i3ryVvQgRKtEuFz53nJuLJNd1tER/KkVJ5C6HFtVXxomX2YxRaIKMOQlxPyAiFo5WVdvMcSPhSAdCNqtVqWltbS6egLS0tJSVUq9W0vLysRx55RIPBQIuLi5qfn9df/MVfFOrJzNUXXnhB999/v06dOqXhcKhOp5P2yBCtWBz+ZlvYf1Y8dN+IZpiY5xd2+dhIv6B+MBik4xzYT1SI/u1Q8dLSklqtli5evKi//du/LbzNr9Pp6OTJk5qdndV3vvOdVC65nzJEGOdHTAyMXBq5mRg5dP/b5XUUyMItFpxjdytiOVIq+4hdASqASqVSOJ9kv0GlexMtthccrVUMTZIIlYqH+nAy8Rr/32w2deHCBX3ta1/T937v9+rnfu7nNB6P9frrr6ter+vKlSsJTTz00EN6+eWXE8Jy6vzFixdVq9X0+7//+zp79qx+4Ad+QJ1OR9/zPd+TiOBer6dr164V4D+5G6IT5m64DeSZXHeeFUNks7GxoUajoatXr2pubk7nzp0rnIjH/BhHX44fP64HH3xQjzzySDozZmlpSRcuXNBoNNLc3JwGg4E+/vGPq9ls6ktf+pKef/75pIx8SLfHy8ouKksKQ7+eP8zYJdHqeeE+r1R2z25ptVoFJWZUV0bk341ypFRKhAs4LnBDfC6UsrCw748TbzQaFV7ITf+b/jZhNkOwkYcg8uGO1nPnzunkyZO6//77Va/Xtby8nBaI3aKVlZXCa0mJqkajkba2tnTx4sWEUh599FE1Go20S3hrayudDEeSMYZNWT/yTIT7ttIkjafTacpgPXnypK5evarnn39eFy5c0NraWhor1p9u5/z8vNrttprNplZXV1Wr1TQ/P5+S/ZaXl9N9f/d3f6eNjQ1JSuPrOloJkPegG0PFZmGEi0iVyIRIyPW2AqLh4vEV7LMjpPIeEg8+XQ7yJw47+kwTTygeP+kFHCeSpMStMFmKisXXMifClpKnwEm7ZB6Vkp/h81mbzaYWFxf12muv6aWXXlKr1dKJEyd0/vz5FM2xQuBrNVyH4XCoxcVFXb58WfPz83rkkUf04osvpheDOxzrs0vcT1xUMYzMXA4rE+7SzbKdFPzt7Z2zU5w/YteO4gOm3Nfj8Vjr6+u6ePGiPvzhD6fFOhwO9dGPfjQd02lE8rWvfU03btwouJfS3g2Y/jxulXB7OX+iOxtRhhFKfJakRB47k9uKv4yEvhvlSKmUCFl2+r8eTOdEMNGJiWAc7Mgr+O9IwHJXrb+P29m5KMnzMORpq2di8t5771WWZSl9/7nnnlO1WtWJEye0srKSFiijIY4IeVfsaDTS7Oysms2mrl27VlB0TiCLHEdEL+RVyHsQDcYozfb2dlJcV69eTX1sReS+Zl6IF2u/39ebb76pixcvamZmRt1uV/1+X51OR1m2s7/JB32XhWddR3JXZbkpvI+IhW6SjQkJWf/Eo0L9bCMZ379f1PBulCOlUiL0ZctkPB6nFGy6K0xSitDe5cbcFF9DRp9W1wqDcNcKyNeyLGn3Je1f+9rXNDc3lyI458+fTwdqe4MgDy6SiodGDYdD9ft9PfPMMxqNRnrooYdUrVb1+uuva2NjIylXt8vKJWbGumyGu+N37IuYhexT1ujqcZyk4u5tI7b19XX94R/+Yfp/bm5OP/mTP6ljx47p1KlT2tjYKLzZ0EqBfRldmmgM/GyPRczoJWlPXsVGyQrNSYzu/5ioR+6Jz7sbFcyRUtlHolWNC8CQnwfzkCfxby8Choml3W3tRBpeOF4YtlBxQxw33/n5RDDSrnL40pe+lGA+F53LskJiWyM/8/LLL6dzYcfjsc6fP5/eCFir1QoQPaI7Tnr3gxGO+8FiZUIuhugg5n24nVZE5EKsvIl+ptOpVlZWUmp/pVLRCy+8kLgU1is+swyB+DP3E42KFVDMrmUf2V32GDrqY2XjpDcqPQuR790m2d1A9mR32dEHFnIU8fNaraaTJ0+q2WwWoh+EumT7Sb5Op9OU6+Lv4pm2XPyS9rg9nJyMwHCiMxpRFhLlZzEaE/kg1511IgdkpOC/mblL4trtddlWmlTYzWYzbURkHzEXhJyGn1GmjKiQJanT6ejYsWPpRLerV68W6hjH4K2iczEKZHfVuTA0OAxLu+68rl6vp93hjvY4L8fHgrLN0WW7E8RtnuelWu0IqbyFeDLQlbF4gH3kQEwz5wSPi5kLnxEeRj3KDisqS5SyNfUmRC4EbqDz4o9vwosLxm2jO+d7/Vwqlv24kmjRfa3vp2Vnu92GiDIiEqOrEhUIURIVmaR0Bi/3Le2HfCLK8nOt8CqVSiKyPV/8KpEYrSMii7uLTRq7Dz2e3mIR2xNzVty3d4scIZW3kMh5xJ+ZmRl1Oh212+3kErE/iVqsJKKbQTEBSbgtFV9r6utYN2k3jO2tACQ1Y3iXKIehSy6iiBxIHHr/DpWAv6fr4/sZueJCj/1hqVarhZwTfs8IG38b7Xnxxfwd1zPeR3exDJGQB6E4GhMXOsff5HdEl8538rXNZlP1ej3NI4/J+fPnk3KLpPbdsG6PkMo7EKKBMhmNRur3+2mfTJyAkemn+0PrT+XjH77ALMJtkpEWK5q4FcDPsHvlcripkErI4klMjoJtI7Hr7/lKVEeRXHfzHWwr97awfewbLna3kyglkqp0rzhubguRoZVW3GDJ/qTrQheG/zOEzDpGl8SfcXuD68a8JEewogvqe+4GhfJWcqRU3oaQo+BkmUwm6vV6WlhYSJCVFpmEHE9bIykrFdO9PVmd0Wnr5JPNSOayHhQqCE9IKykfu8jt9ePxOCVYMergDX12o2jd6dfHXbzMjPUC4Xd2gZw56igSX0XKcL2vd53pPkSFb2KVKMrojS4Z3RsTqlIxxZ6Kw8onKlaOAXNyonDMrUydH8Tv7Eo51M35Ef++W+XoPJW3IR50boZjRMebvWiFJe2ZMJGbKYv+8NwWKhlaRD+XLokVReRGIqFId8Fle4EzOuP9NzGMGnmI6CpYcXC3stGMw6hEQGVlM7tWUiF8bpKc4xJdSv6QxHb5fJ77hX0WXSjzP3RxiE6i2xjHm31kjo6bH903Lmdzc3PPafuxznezHCGVtyEx0sDPsyzT2tqa2u22FhcXE1lnZTMcDhM68OY+hk2loqX0wpP2Wk1eHycqEQzLpGX2IrC1JH8TD8P2tYTmXKD+3+3gqz7oMrE9JpMrlUpyGY1CiJ7Mj/T7/YLVd6SNGyyJMCxe2HEMo5Il32GJSWvue/I7VrRUHlYKkVR3G+3umU+hMnRb3IfcX0Z+6m7hUr6bHCmVtymR4JSK73Xp9XpqNpuFEKtRSJxwFO73kVRYpP7eE9rXxqgU6+XPmGBWrVYLZ5j4iAS2hbwKyy1bcF5QJIUjYmCeCLONJaWT8ElUxuxhRlaozMkJkdDmWLgfOQYcPy7UOCbkL8j1RK6GytXPi2NIop2Hn3NXOT8zecs9QbG+kae5G+VIqbwN4QDHicloh/eP+P0xXsx0U6Tie4JOnTqV3gIYra934joC48VrqxbdKGlvNMgLkKhhMplodna2gCKsxLgoWVeSry6Pi8b1bDQaSdkY4RBZWTlGt8TWnryLjz9wPezyVas7h3tvbW2Vht6J6mK5VBRM/ItEtdGcj7qgK8pr/DwiOl4bOZbJZJLeCukxzLIsbYfo9/sFRU+Xme26m+WIU3mbwoGmMiGE9mTqdrva2trS2tpaOi82RgEkaWlpSZ/61Kf06KOPqtPpJPegXq8XeIXpdFrYh8MFkOe7J+K7bCIOuxKSCjwFFxZ9f6IUujLS3jwdQv14nokVgL/3bytbks0xOc/1oJtYRqpaWcVrylxUfs+FHjkR3kNuxQrVn/vVG66nn2EUFvvMisMIpdVqJbfPCtlZzxEhElG+F+QIqbwD4QKOVo/IhVbGrL6vr1arOnv2rIbDoZaXl3XixInCpLLy8MSlZR+NRvqbv/kb9fv9NDkJi8uIWSMMLw6fnk/x5LZC82ex3YxkGY1Np8WXoTNSFolTXuO6cWOm0QkTC0nEerEzIkbxM30+iRdv3G9jobvBMXJEyvUy4jSfFF2nSJx7vLw509ybFRU3K66traX+p0K+212dMjlSKv8AeSs2P17HSRUhuFTMvN3e3ta3v/1tTSY7r9m0O5PneYrKLCwspAOgh8Ohvv3tb6tararf7ycXy66XT6enleTzrVy4h4huEwlVKkwqRP5PhEC3iS4P+ZiYY1NmmbmoXc/RaKSZmZlUT1t5i49AmE53Xt3BsWIkyPfFfUeM5kRy3uNBcpp8i+ta5hraOEynO28EMHdiN9kvCeMc899HSuUQCLkVpstHKbOgnpTSDgK4cOGC8jzX2tqarly5kiwdJ7cjRw7xdjqdAtdi5WFo7XNYiWDIt7g8KyJyIITYVhYMQXNHckyb5z4gugMkbylUNPyefBOVnhd47G/WkaSn6xS3NFjptFqtdBCVievIG1lJulwStvyf7WX/+ZmSElJ1nbMsS3t64n1EeBFVvRfk7byh8D5JvytpWdJU0tN5nv+bLMuOS/p9SQ9o5y2F/yzP89Vspzf/jaT/XFJP0r/I8/ybt6f6d0bIBZBYjEgm3sOIQrVa1fXr17W6uqoPfehDuueee7S1tZV2/zp8an6l3W4n5dJut3Xy5ElNp1O9+eab6SgGTu7hcFh4QRjfA02lQInRLe4n8nd8Pw+5JCsBX89+cP/ECJaVHclW3uuy99tP4zr69aHuH6ITaVchWkwUZ1mmCxcuJHcmvsSNCiTmjZCnybIsHfsQo4OS9hy4TcXBvo+/389IZVvSf5/n+TezLJuT9I0sy/5E0r+Q9Kd5nn8uy7JfkfQrkn5Z0j/RzjuUH5b0SUm/fvP3+0KiNacb4B8vQieAMbwr7YYYK5WK5ufn9cADD2g6narX6+nVV1+VJM3MzKRJ7XcJV6tVtVqt9DMej7W1taVr166la0nScvHU6/WUKm90Y7TABUdCOraXbl/cVGiE4XrEEGtZli+FisrCcDzrQivO/BS7IFQmUaHwOd4pTsTBtpBMjuiL0mw29cgjj+iv//qvC/3IPKNIrvt35HLeD/J2Xnt6SdKlm39vZln2gqQzkp7SzjuWJel3JH1ZO0rlKUm/m+/00F9kWXYsK77Q/X0htNLRqpCLIJlLV4GoZTqd6uzZs5KkD3zgA+r1esnP9jmw/p/nlQ6Hw/SuX5ObXtiG8eZkrEy8kEyAGnn4lHrm2lCJxD1LRgwM53IRsj+s0Cx2wYhMuJj9fyQ+2beNRiNlMpOj8RnAfme0+5gIyfUjWmi1WsrzXAsLC5qbm0uoxa8isTvprQQzMzPJHbXSn06neu655wr9NJlMkgEpQyfk3uL8eq/KP4hTybLsAUkfk/SXkk5ZUeR5finLsntuXnZG0gXc9sbNzwpKJcuyz0r67Duq9V0iJCppxbygomWLFjbLMs3Ozqrdbms8HmttbU03btxQr9dTr9fTcDjU9evXE/+R53l6vUS0oP4hyerFZOXCxDwutBiNYchX2s1dabfbe6I6hvw8z0QqJspRgVLBmtiMxwyQs7KYL3Lb+HItRnaMbqjkyrge15k8V57neuyxx/SBD3wg1blWq6nf76dr7I7OzMwkJNhoNJKyd90ZdeLGQM6XqGDey4qE8raVSpZlHUmfl/Tf5Xm+UQZhfWnJZ3t6K8/zpyU9fbPs92xvRhTiSR531/I7aTeMef78eUlK6MSp6V5og8GgwGWQeyC3wLAtffqTJ09K2lFox44d0wMPPKBWq5VOO3v55Ze1srKSCGDCdCZzWQG6HY5UWUHOzc2p3W6nnBjncbhtXOidTkfVajUdxuQkts3NzXRKvuvsMHWlUtH6+npCYl7QLte/pV0FxM/jWBidkefxfWtra+nv6XSqjY2N5LL6JDY/p91u69ixY+lNA6439yhxg6m/dz/yN3ma97K8LaWSZVldOwrl/8rz/A9vfnzFbk2WZaclXb35+RuS7sPtZyW9easqfLcJLT0/ixm0Ec0wuuL37HCSkQCNCot8DXkGWu5IGjcaDZ06dUp5nqeXmmdZll44dubMGd24cUMvv/xyIfzq5zqUG3mj6XSqmZmZZMEdUaIC9Yn+k8lE7XY78UVGCg6T27UgAe77jA5iGr4VE7OGY1o+j210pMfowm6in/H888+ntkjag6KYiyNJ6+vrWl1d1dramvr9foGf8bgzwdD9yd+W97oysbyd6E8m6d9JeiHP83+Nr74g6Wclfe7m7z/G57+UZdnvaYegXX+/8SmWMsKtLLRIN4ITiZbUSogHGZmXofLwomNCWJkr4/chb25uam5uTtPpVOvr62nimyf48R//cT344INaXl5Wv9/Xz/zMzxQUihPs5ufnEwJzvRzVOHbsWMqNMVKxYqEVrtVqmpubS+ig2Wymtnmx5vnOe26azabm5ubSZ+ZXfOC4OROX7dR3c0tPPPGETp48qXa7rR/5kR/RE088oc9//vP66le/qm63m5Da5uZmcnO4sY+I0ONmPkoqHu/Z7/cLCMZj5/El50SFHN3B94u8HaTyjyT9l5L+Jsuy525+9i+1o0z+IMuyn5d0XtI/vfndF7UTTn5JOyHln7ulNb7LhROFkSGpfPfsW+W6SLvciC2n3SpuEGSUwRadrpIVCDfhVatV3XfffTp16pRarVZyPfydT1FjFq6jOv6xS1apVBJiYD19OHi1Wk2KQNpNUrNy8qJ1meYpXL7fuez+NeHs+pE/cV/OzMxoNBrpU5/6lL7/+79fq6ur+tEf/VG9+uqrunr1akJRly9fLpDpLMvidjNKY/dmdnZWGxsbGgwGaXyZACgVz7eJqPP9gk4obyf68xWV8ySS9JmS63NJv/gu6/Wekui2lH3PiepJ7PyILMv08MMPJxhtHkXazSmxZTdZeuLECbVaLS0sLGh2dlaj0UgbGxv61re+VSAmH3roIS0sLCSyd21tLbk/165d00/8xE+o0+noC1/4gv7yL/8yHWvoekq77ovRxGQyKRCWMzMzBWVGkng63Xn5mpVEjC4RyfnUurm5Oc3OziZ0Y5RipeQ+yLIsvbdoOp3qnnvuScrpxIkTarfbWl9f1zPPPKMHH3xQ586d09ramjY3N9Xr9VStVjU7O1tQoM6HcX3Nk0g76OvEiROq1Wo6duyYTp48qeXlZa2uruqP/uiPCu0xZ1PGq9HI7Ddn3stylFF7CyQStRGh+DuGUOlndzodPfLII1pdXU3JWJ705itarZY6nU5CEg4VeyHX63X1er0UccjznSMcjx8/rlarpdXV1UIGrcnIX/u1X9Py8rK++c1vFiyq99U4HMqJb4Xi5LzIIbTb7XSvJW5PcJ2ZRWykwKgKjy6Qds9zZU5JlmVaXl5OCuj06dNaXFzU7OyshsOhNjc3tbKyouFwmAhkK+5Pf/rTKZI0Ho8T/8IcFp6Dc+rUKU2n0xRO3tzcTC4U+yi6vIyEsR/eT1Efy5FSuQUSFUqEtVzkUnFCOcIznU71kY98RPfee68Gg4G63W6KrvgtfdeuXUuvAvV7kJ3+bTfqnnvuSfxAo9HQlStX1G63led5cke2t7c1OzuryWSiy5cv680331SWZZqbm0sLk6FvL3C7N41GIyk9oxgrP79Ph0cGHDt2LEVQOp1O2qVrwtSuWbVaVa/XS2jJSscbLbntwOjCdWq1WppMJlpcXNTc3Jw+8pGPqFqt6rXXXtP6+rpefPFF9ft9XblypaBcOp1Oeg2qeSJHfHhwlsPfly9fTlnNtVpNjz32mObm5tK4kqDmnIju2ftNkVCOlMotFkZ+YkKYSTv6515oJ0+e1NbWlt588031ej3duHEjvUnQCsaLQdpFOiREHfa0TCYTra+vF/blSLuLpNlspkUsKS3w9fX1VMfRaFQ4NNsKy8+ywjHyaDabSRlya4AR0uzs7J7kMKMeL0ByOHb/jISi+DPvfarX69ra2tLKyopmZ2d14sQJXb16VVvBDVjuAAAgAElEQVRbW7p8+XLh8KvxeKxnnnkmjdn29rZWV1cLSsAkutGTUaPds6WlpWRI3Efm06yooiJ5PysU6egVHbdN4kSTdrI2z549W5pNeurUqZT05l2tPlHOi9gLroyfMZLodDqFcC/dg8XFxbQI+v2+ut1u2tRm5bKwsFCIJPkF7IuLi0mpeGHduHFDw+FQ99xzT3q+9+lYEUyn03SmjDNR3RdGaV7E3r07Go3S6ypM+PoAo83NzcSFSNIDDzyg4XColZUVbWxsaHl5Ob2Y65Of/KS63a6++c1v6qtf/Wohl0XaUa7OJO73+4Xxi26s3TKGlF0/8ygek2azqVarlZIXV1ZW9kR57oZ1924lP3pFx8EIJ1xZpm1MWvN3jkgYzTDj0oqB+SexfFpV5sj4JH9pdxF5sVs5WKzIuIjsgjiF3+IojKNQrgt3WVt4yBFRG/NhvEBjBCXuZHY0yy7H1atXNZlM1O12NZlMdOHCBc3Nzen8+fO6evVqUl6nTp3S1atXE/9h5cyImMeH33usiC7Jnex3tor5qXii3GGQI6VyiyXyK0zC4kKjwoi/oyvARcZQJHMf/Axbfj/DsH00GqWoR5ZlCQmcPXtW29vbmp+f19bWls6fP5+QhvfDmK/Y2NjQ2tqalpaWCgSxeR0rILtA/X5flUpF7Xa7sIs6vndZUlJcWbZzJIDRiqRU79FolDZTuj/W1tY0Pz+vJ598UlmW6dVXX9XGxoYefvhhSbvHVz7xxBPa3NzUl7/8Zd24cSMR1+5zjxsVXUzrd1/zPBor4PheZKI8EvUc+/erHCmV2yxEJpzEnpgmRS2ExZ6wEaUQrfBaWky6X64H69DtdnXmzJm029mKh3touMOZu5vNFTgyxIOS+FzXx6Qo68P8FGk3czXP83TMg0naq1evqt/va3l5uZA85vNeT58+nRBMvV5PmcOOjpl49SHajB7FbFfn27hdTFIzCqTSNtpbWlrSxYsX0/gyR4gGhiH096scKZUDECoBukDmQrhrlyFWcxi8jxaUyMdno1KpkLMZDAYpp8P5LSY3Z2dn00lyc3NzKVfGm+aYTOfT5kzQeqdzfjOztNvtFiy8LX+1Wk3civNanDvjyE4Mh7uMWq2mBx54IH3ng8LH47E+/vGPp7a7/i6Hrssrr7yiS5cupWdROZizeuCBB/TUU0+p1WqlfVg+xMmyvr5eCHtb4Z44cUK/9Vu/JWlXgTtsTW7t/cClfDc5Uiq3USLZx5CiVHSBmBbuayOfwHwQLwSmqvtZTCH3Mx0qlZRcn9XV1RSlsQWXdl0GPm8wGCRytNvtpjr6OisWv7jc7fePXaFKpZJcAiIx19viZ5o/cflWNszC9e9KpZIUjKNLduVWV1fTERLc4sDfKysrWltbU6fTSWjMStN9aiSzsLCgdrut+fl5jcf/f3tXFyPJVZ2/0z093fOzO+PxbOz1eNiFeBdBpMREloWUPBmkEF5MJKSYh4QHS84DkUDhhSRSFKS8REqwFAkROTKyE6EYAkRYkfJAwCgKAjtgDNhYa6+9C+x6l9n17vx0z0zPdPfNQ9d3+6szNevZeKZ7tvt+0qi7q6qrbt3pe+qc73z33G2cOXNmBwemRr/IyxxWA5OMSh+g+gUObDUkNBL6w1Nhlw8blPRUolBjd/VsNjY24qCkW3/9+nVsb29jbW0NExMTMSukg11LKzJtTM8CQPRkyINwwHJgc24PPRLqY3he6nPoMR09ejRyEeRe6Ekxm0KPhAbwxRdfxMmTJ6NQjt4dSWU16J1OJ2bTtD4MvaZGo4EnnngCZpZbGoT9qqnlO++8E0eOHMHCwgJOnDiBe+65J6dRouaG/39tC98PK5JROWD4J5Mn7WhUNIbn4CgiadVgcACpPFwn/PE7ejwHEF16cjpan4T7GJaxTfQc+KTn/BsN26hrIZ/Q6XQikcunPp/8eh2+alZme3s7fqbhYb+Vy+V4rZ///Oeo1Wqx/bwGw0t6fJrB0TlKfFWCXLU9yl1p2nt6ehorKys4d+4c7r///pxBVi9NHxZeZjCMSEalD/AZIQV/ZFSgkijlk5ikoqZ6eS7lXJQEVqOk4QWf/j6FSg0IvYfNzc2YYeEA5/5Wq4V6vR7n8FAMR29Fq8lTwcv2UUGrx5fL5Vh4amVlJZ6Px9ODI6HM/qPB4Tmef75bBvnkyZO47bbbooqY5RJOnDiB1157LXI+NJhAr24MjSGh/yst5MR5QsxIlUolXLhwIXc8Da03HsNO0gLJqPQFPn4nfNZH/zjwlazUMgnkXvQcNBr+ej4EUBEYn9AcHKzUr6EPVaiUszNbxHNpxTUSvPrE53l5rGZD1KNhpoSDkR4Mly1ptVoxXU3PyFeOW11dxcrKCu68887cCoC8Bu+ZWSmfMqbn4lP+NLDkjYC8Glj/X8qJ8dyjhGRU+oAico4/QtUu8InO4+iF8IfNTJHG7lqagAObwjb+2PXp6AcBlaQUiWlqt9FoxPPQ8LCGCtAjfGl0mDHhvB0aie3t7bi6Imchq4Gkh8MJk+wH8i1a9pHrHNH4LC8v55ZZfeONbj2wxcVFbGxs4M0338SxY8ewuLiI7e1tXLx4MWZsaLT4XYaCahg0nOR2n96nAaIXxrbr/97//4cZyaj0ERz4AHJPcYX+eDWLUaT01DAG2Lmcp1eA+lhf1a2axuagIGHKcyqxzCc/DYMqaVVHwvCJ2ScaLWpKaKwARM/Bz1PSwtkcmPReeK98bTabuHLlCr773e9ieXkZ73jHO7CwsIBOp4P5+flomNiHavC9h6ekK7ka5aWUdGf/qBH3BmQUDAqQjErfwB8tSxZo+UN9UgK9lC69CqDn2ainAvRifKaXGZZo0WV9guo5eV7vJZl15wZVq9U4AFWsRkPAUgtauqBWq0XORUMLDkzyNSRfqbRV3ojXoZGgZ8HzkdDmej88ludg+ntrawtnzpxBqVSKpRHe/e534/XXX4+1cGkAlexmv+iESDUWWlhLM3DqZY4y0gLtfYJ6Bxw0uz3JNEugRCs9C2BnhX6v9CT0qc9z+FS1ErsK6jp0v87j4UQ/9U40hUww80JjqYpcr97VbBLDHKBXl0T1IypK08xQqVTCsWPHcPz4cbRaLTQaDRw9ehRXrlzB4uIi5ubmch6jZubYRzwnX73X59P/2v/+fzhqGM27HhC41g6NA5+uKghT4ZmmOH1IpE9EL8/nj5thiYZO1JBwP4AdxoRGioOWbVAvhyIwHq9pb75XvshrcrQEgXIQlUoleiIMcXh/zWYzLl2ipC/5Ft4fNS8LCwsAgCtXrsTyEu12G6dPn47t933B9qpBYJvZfk0/s+1Fgj895yghGZU+QgdvkX5FSxzweE/0KdSAqGfjlal8VUPGNmgKmq8cMJpV0etrOzyvU9Sm3driz6OaEU2Haz8pf6KeG+9HtS8Mpba3t2Nph8uXL+f4FPWi2A41Fr7t6g35e9CQaJSRjEofobVQdHBwMHNgUTYPYMcTkNDiSEAvxNAftoqx9M8TjDyeXhLPR/Ccnvz1g0fFc2qQlOPhddWIeMKVilldy9kPfma4/ECmh/Xmm2/GGdP1eh3nzp3D1tYWLl26hLW1NRw9ejTWdtHQjv3F+2M7vfeiJTW1n/wE0VHEaN99n+HDEX2yeo6kiOzzBK2vWaLf8zoX1bVwoPh0s0L5hSLjo5+VP9C0q4L3zOPZH0Vpb+5jeMP9eowXl2lIyHKbzWYzLkfKYt9UAVNpq31R5GEVeWpFfInnXfx+72UOM1L2p49gZTfG/wQJSWYclDzUUKgoawPsJGYZ5qjhoDdAD0I9ByWP9ZzK7dBgMVxilkm/UyqVcoSrP7+GSkXGTAln1bFwPpG2y4dbSpayluzMzAzuuusurK2txdUIT506FbNGY2NjuRUgfSqZ7VX9ihpuppa3t7djhk3JZMUoZYSSp9JHMDPC7IguWqVut880APlY3nsFPpNBV171LOohqPdyIxTNsqWnwoHjCU7NVAHIhSvq+ejgVG+FfcCQQ/uFBkwzWnpttjOEgHq9jqWlJYyPj2NychKNRgP1ej1ehx4ir6PZKw1hNITzWhYaUQ2P+H2tFTxqSEalz+DaPpzVS1EY3fmNjY2oWNUMj4Y91IN4LoLfIfhE51NfB4RmZnQw8Hs6yHmcek36qqEWjY6mq1VABvRCIRbI1ic/4Z/sen2K5DTdTLAdyqOcOHEiSvtfeeUVtNttXL16dYc6WRW0GiaSa1KvTDkuH9aur69jaWkJo4q3NCpmtmhmz5jZy2b2kpl9Mtv+12Z20cxeyP4+LN/5czM7a2ZnzOz3DvIGbkVQn6F8CrMUKkvX7IQ+sXWGr5KXBI9R152DXAd3kfbC8zlae4RgaKWfPd/h21Ok/9D9ykFoelrbp8fzunq83ifQzQCtrKzEcgs83+rqapzVzO/RQOt7fz0aTfWaVDfD7+sSqKOIvXAqLQCfDiE8b2ZHAPzQzL6Z7Xs0hPB3erCZvRfAQwB+A8BdAP7LzE6HEEYzab8L6vU6gG6NVZ+a5PrFujQG4T0IDlBdOqNItEXQQPkBS0WvqnP1eFX8quuv51BSFUDkLnQG9Y0KQtMA0uhq21WPop6Xeld6LzRi58+fx+bmZlwBstVq4fz58zh+/HhU9AKIkyS1n9VIka/h51arFZdMYZ/xmlyneVSxl2VPLwG4lL1fM7OXASzc4CsPAngqhNAEcM7MzgK4H8D39qG9Q4ciZS2XnDhy5Egs/kxwMCv56Q2LQgla9VBoWNQIVavV6IXwqdxut3MV91VoxmO03q5yEwB2eDA0LDSA3iviNQgaXDOL4kHeg3pwDF3UyPA6Fy5cwNjYGE6fPh3l+b/4xS9iGKVqWDUmauz1/CzToMaZky9ZmGmUcVOcipmdBPA+AM9mm/7UzH5iZl80s9uybQsAfilfu4ACI2Rmj5jZD8zsBzfd6iEH1aS6Fo3G+V5TAqCQvPSZFiU/dZKgQtcO9k9pPZYuv/Ixytvw3DeqKaKCO713bZsqVPV77BM9Tklg7/1dvnwZr776aq5GjBoFrwvyWh4NybgypPfMOB9q1LFno2Jm0wC+BuBTIYRVAF8A8OsA7kXXk/l7Hlrw9R35tBDCYyGE+0II9910q4cQOgBoVOr1eqx45nkJ9TqK0s0+zNFq+MpJeCGahkw6V4elHzmQtOq8zqT2GSFvvHy6tVwux8W3vFiPbfViOorVeK+8PxLM9ICU3N7c3MS5c+fiYmRsm0+va996QxpCwMrKCq5evYpms4nV1VWsr69HxS7Xpx517MmomFkFXYPypRDC1wEghPCrEEI7hNAB8E/ohjhA1zNZlK/fDeCN/WvycKLoaa4LiXuoIeBA5CAnQcvj9Bqa6dCsBc+jx/nBpqUr+aT3aW3lM6j6pUpY68YyDFIvSI0g26OeCtDT2ShxXUTy+u3E1atX0Wg0cn2uOh3tB+0/3hOJdM3WcT6SJ5RHFXvJ/hiAxwG8HEL4nGw/Lof9AYAXs/dPA3jIzKpm9k4ApwA8t39NHh20Wq1Yycx7IhyQPuPhBya3qaxfl/NQ8pVcCb/vs0RFqVWdN8QZzT4E4jl4vunp6dxUBCVM9RrqsegEwqIQh4ZJ28wwh0aJBpVGUD0sXltTyLoP6BLPXGakyNCPksDtRthL9ud3APwRgJ+a2QvZtr8A8DEzuxfd0OY8gD8BgBDCS2b2FQA/Qzdz9ImU+bl58AeqaWb9oatHAPQMDQeZpkgB7FoQyl+T5/RSfBW8qbej1/aZGYYpXETee1FKsupkRuV+vJHUsEb5DG0Hla6EGh9en4aBRLVPFWt2ie1rNBqxjUXGO6GLtED7IQefnPPz85iYmIj1X4F8hTJN1wL5SnF8iqsRaDQaKJfLsUC0Zn2UDFYhG40EeReStXxldoTf4/W4jg7P0Ww2Y2lMbisyhp6f0FIFen8A4npDSu7yPYs8dTq9KnNqZL2w0JPepVIpLrSu6yeNOsIuC7QnRe0hBwcHCyKpQSnSmvA7RNETtd1uRwOl7r6GEjwPPQh6QTqgdAAyZNG6JiRhKQZjpX7Ok9H1inxI4b0lzQrRW1GPRr/Dz9pmJXnVmGjf8X7Uo6Ohoh7lMDyEDzvShMJDDg6I5eVlrK2tIYSAqamp3AQ4Qr0MYOeyEsopkGPxGRByIr5iHD0PDmKdP6NaF2CnUtdv0zCtVCrFhd2ZruWyGsrt6GAeGxvLVcL3KXMaKg2HtI9UEazckueU9P5ZnDsZlbdG8lRuETDE4NwgJR81baukqicmzSxHkKoxoSegGRdmgNSD4bWKBphOGeA+nS3NtYJ81oYejqaQ9X50/hD5DX+fTClrn6hYTssseA2LvldviG3w5TETbozkqdxC6HQ6WFlZwfr6Oo4fPx6zOPRE1AshirwIDTk46MbHxzE2NhYNlp6LYRe5CS2tqMSmekN8r2EFsHM2Mc+h2RldksMvXq8GzntqNGCqieF1dbsX6fm5U7x3oJvxWVlZSVzKTSB5KrcYuNxFvV7PaViUM/DcBJ/kVMvSEKi+xKtfOdiVTC3SfXj+BuitqkgwpNBwxov9NBziuTzHUwTljGjMtE0Mr3yaW/ko3xd6vo2NjShATNgbUvbnFoVZdy7M/Pw8Jicnc/NzmIVhOKDpXO+10JBwUPn9+pkEa7PZzB3L5Th0bR41DjqpUEM0P3dJjY6GRgBiFTe2SzNdTCEznAN6NWrVM2J7tA08H9tGsAr/0tJSLEWRkEfK/gwZ6EVQHKeDzPMeRYNGB73u12M0xOF5dZ6L8hVqEOj18FhfGsC3Qe+J192NpNX2FBG4PsTxHgnf6/U13OF5Nzc3sbq6Gj21hL0jeSpDgHK5jOnpadRqNczOzubIVe73g0Y9Df0NtNvtGCZxAOvSpwByxGVR6ALkFbokWXcT22kKWAljtl2nHNBw6NwmNWDqhahIkG1SFbIaS9W2bGxs4OLFiyNdE2Uv2M1TSUTtEKDd7q5HvLW1FSvEk9fwvAlBb0BTxHqsqkv9d4uMiBfbKUmrpS2BHoHqhWo8D7/Pge/Tv0WeF6+t+zVbpXOTNCTyhrVer6PRaCSD8jaQPJUhw9TUFKrVKubn56PHoXqVomJLamCAvHfAxblUtg70Br8++bUandZK0cwQgJzGRL0Fciy6hKtvp2aXNNTREEyPI3z7FSF0a9rW63Vcv349kbJ7RPJURgRUr9ZqNUxOTkZylQPfP+WLBpDPHqmMn9BJfcqB7DZ4NfyiF6V8BY0Jr6nzfnzpyiLRX9E8Id6LGicfhjGFzbrByaC8fSRPZUhBTcntt98ejYuf6wL0yM2irI9mhTSbBOz0coD8YmOlUqlwiVUAOSUuP+skPTUQGvJoXV+dZ8Rz+FQ1J0F6Q8HjWq0WlpaWYhHyhJtD8lRGDFxLaG1tDa1WC7Ozszk+QQVwfuD6cEjn//jiT/rkVz5Flb5Uu2q44kMUT/LyVb0hQtW0NA5sL1+LPBqgRw5z8fnV1dXEn+wzkqcypCCvQeMxNTWFWq2GI0eO5CTtNCysT+vnDqkojufy2SVeTzUgGs7sVmNFQyslij0fogpeNXhezavZJM0osX0sqrSxsYFr164l7+RtIulURgxKzpKXKJVK2NjYiJJzGpRyuZyT5wO7ezLqGahexBOlGlL50o88xmeFdDJgERmrrzrPqMiL0XsBup7b1tYW1tbWsLq6mgzKASJ5KkMKLu8BdDM4c3NzcTYwtSOdTgcTExO5uULqUXCej6aGeYznLxQ6aU+NgQrgGKJ4r8WfU6X3mmnyKW7lV9TAUQ17/fr1WLktYX+QOJURgxKjExMTOW9Asb6+jkqlEolcJWR96ldFaF6tqpP0/LGEcjT0eIrA81J678+jHoySx/ROyP+QO6GHkriT/iAZlSEFw5PZ2dk4L4hGQ3UqnU63Ghrn7WjlNp8xKhLCcR+vyfMSfvKeblfNCdDL1vgUuO7359A/ci+a8dFZxgn9QTIqQwoOPnop9CzIYXjCU0OPzc1NlMtlrK+vY2xsDNPT07lBrkpdNQo6+D2nQcPjNSLqgWi2iPAGiW31S3ZokSe9npmhWq0mo9JHJKMypFCZuypZlUPTEITFqX2JRq2fohXXOLi3t7cjCczt5GHUu+H1zXqLy3NuEJAXqSmHwjWmtWo/vSleh0ZMpxtsb2/HqQLKLyUcPJJRGVLsNitYK6AB+QWz+F75CiC/EJiCax6Th6E3wIXBVNCmFexJnnKBs6ICUTwv2+NLK7CtN1o7WttQtCRswsEgGZUhBr2Ara0tVCqVnOSdNUioJ/GzgdVbAfIzeZWTARCFZPSCWq1WVPSSbNXwh4O7Wq2i0+lEI8NwSr0WXkvbqpMX2SZNj9ND0zZPTEzENXsSDhbJqAwx2u12bjByG5APj5iS1dBIORF6DRz0DIe01KMqdXm+olIHlUolhkHNZjNXm9brXrSNzPL4qv5cfpXtpfGkIUtV8PuPZFSGGMz6dDodbG5uRo/E6zx8CQByFcwKqVCMVd6AnVkfX+uVXoUub8pXEr2qwqUKmGEVjQ6XS9XQhjyJKoN19UTPz2h6OuFgsZdlT2tm9pyZ/djMXjKzz2bb32lmz5rZq2b2ZTMbz7ZXs89ns/0nD/YWEnaDFiJSvsSTtbpvbGwsLli2vr6O1dXV3IRB8hoqhyfpyvWS6X2oGleJ2Wq1mlssXhctYxsqlUpcBL1er+dWMAR6VfSB4lovbCORquH3D3vxVJoAHggh1K27UPv/mNl/AvgzAI+GEJ4ys38E8DCAL2Sv10MI95jZQwD+FsAfHlD7E26Ara0tTE5OxoGvmg6d9MfPDFnGx8dRqVQwMzMTvQc/Q5mFoUIIcdkPhi26OJmZ4ciRI+h0OpHToPfC71QqlVy2iG2bnp7GxsZGbFulUkGtVtuhcaEhUg+FXtPGxsbA+n9U8ZaeSuiinn2sZH8BwAMAvpptfxLAR7L3D2afke3/gO2m5044UJAQpTdAw6BcCcMCehWqei2VSpiamooiOL8GED0KNSjcXi6XY00XGgo1HJweoKSwln4slUqo1Wqx3Zoa9isX+u/RQ9OQJ3kq/cOeOBUzKwP4IYB7AHwewGsAlkMIzNFdALCQvV8A8EsACCG0zGwFwO0ArrpzPgLgkbd7Awk3Rr1ex+TkZCQ0SYhSs0IjoJoSHZhFA5hkKfkVVpjThb0IJXaZPgZ6lfl10XedjUw9S7lcRr1ej96QL6ugXhfbrt5YrVbDlStXElHbR+zJqIQQ2gDuNbNZAP8O4D1Fh2WvRV7Jjv9oCOExAI8BaULhQaLZbObSyUqq+hUJuZ2gcE4VuL7GKz0MHqMpa6C3DAevo3Vb1HtQPkWhIQ2PA3qV/XVmNAld5ViWl5fTJMI+46ayPyGEZTP7DoD3A5g1s7HMW7kbwBvZYRcALAK4YGZjAGYAXNu/JifcDELoFmqq1WoolUrRwNAYqCCM/Abfk2Nh6EKoUlcJU3op9DC0bOTW1lbMImkKWq/NfVoqQdujHgiNoqa0vSZmZWUFV6/mHOSEPuAtjYqZHQOwnRmUCQAfRJd8fQbARwE8BeDjAL6RfeXp7PP3sv3fDsn3HDgajUYUpAE9tSz5DC6+xUr33F40u5leh1fgUn9y7dq1nAiNRoBpX3pI6p3oeYCe4WJ45ScfaulKDeFolK5du5YMyoCwF0/lOIAnM16lBOArIYT/MLOfAXjKzP4GwI8APJ4d/ziAfzGzs+h6KA8dQLsTbhJbW1txlT8NZ4D8ioB+drBfDJ06FqAXgqjx4blICnMdZn8NLbKkxqGILCb0+4SmtHVb0qQMDqlI04igUqngjjvuiPNygLxknp5KtVqNnoHWq9XfCY2N17todoiKW13fh1Cyl8fSyFC1q1wNz09jQZ6G8IphM8Pq6mr0mDx/k7A/CKmc5GiDwjSgN1tZSx/wlQbA1yrRbRr6AD1pvn72ClcNZ7QcpepWdK4OkJ8QqBoZr+T1xG+n061ox4XVkqKhv0gy/RHB/Px8fGp7nqTT6UTvhNuoYVEug4Pbk7MEyV1OLlTehANeS0jS8PgSCJpd0omBPgtEEZ62TacGzM7O4tq1a9FjSrOU+4NkVIYc4+PjsbSAGhQlPZml0YGq2RgtLaAeiXIlmurld5X0pbaEx9PjabVaUYOink7R9bQqnX7WTJX3lmZmZiK3k9AfJKMy5Jibm8Pk5CSA4nkxqrAlOJmPx3Cejl9nR+cW8fzKfXCbJ351giFFcABiZogErYY97XYbzWYzekk6GVHhl3QdGxvD3NwcLl++vG99mnBjJKMyxCiXy5iamsrxEWpEisodtNtt1Ov1XLbGhx26sqBX3SrfQeUuvRVdUqPo/DQ0Wi+FBsdzKzRSRaGcGju+r1QqO9LWCQeDZFSGFOPj45ifn99R1d7PB+KgazabubBG5wLpYuncz0pv1LhQqNZqtWIaWQe4pqf5p8bJTxGgcfGaFl0kTYVvvuyChlPlchkzMzNYXl5O6/30AcmoDCkmJiZy6ll6FYRqQYDevB1yD6qWrVarOdK00+nsKIHAFLJyJZzxrFyHhki+qj8NEOcH+XSy8ime0GV7PDgbGsh7XAkHh9TLQwpWkGc2RCfh6RMeQM5DYYlHDY1oaHStZBW1UR6vi46NjY2h0WjkpgRopsbP21FSl+0lsTw1NbXj+2yvTn70RkYJYZ6nXq8j4WCRjMoQQ4sqqfJVPQBPttLb0Cr1hHoJHOQaKnHQ81U9JXo5RRMUve5FlbvMWqlClwQv5/uoCpf3SsPE4/2aQQkHh6SoTUhI+H8hKWoTEhL6gmRUEhIS9hXJqCQkJOwrklFJSEjYVxyW7M9VAA24OrYjiHmkPgBSPxCHuR9O7LbjUGR/AMDMfhBCuG/Q7RgkUh90kfqhi1u1H1L4k5CQsK9IRiUhIWFfcZiMymODbsAhQOqDLlI/dHFL9sOh4VQSErivw8UAAAMUSURBVBKGA4fJU0lISBgCDNyomNmHzOyMmZ01s88Muj0HCTP7opktmdmLsm3OzL5pZq9mr7dl283M/iHrl5+Y2W8PruX7CzNbNLNnzOxlM3vJzD6ZbR+pvjCzmpk9Z2Y/zvrhs9n2d5rZs1k/fNnMxrPt1ezz2Wz/yUG2fzcM1KhYdy2hzwP4fQDvBfAxM3vvINt0wHgCwIfcts8A+FYI4RSAb2WfgW6fnMr+HgHwhT61sR9oAfh0COE96K52+Yns/z5qfdEE8EAI4bcA3AvgQ2b2fnQX63s064frAB7Ojn8YwPUQwj0AHs2OO3QYtKdyP4CzIYTXQwhb6K52+OCA23RgCCH8N3YuAfsggCez908C+Ihs/+fQxffRXWb2eH9aerAIIVwKITyfvV8D8DKABYxYX2T3wwIvlewvAHgAwFez7b4f2D9fBfABO4T1HAZtVBYA/FI+X8i2jRLuCCFcArqDDcCvZdtHom8yF/59AJ7FCPaFmZXN7AUASwC+CeA1AMuhu0Y5kL/X2A/Z/hUAt/e3xW+NQRuVIiub0lFdDH3fmNk0gK8B+FQIYfVGhxZsG4q+CCG0Qwj3ArgbXc/9PUWHZa+3RD8M2qhcALAon+8G8MaA2jIo/IqufPa6lG0f6r4xswq6BuVLIYSvZ5tHsi8AIISwDOA76HJMs2bGeXl6r7Efsv0z2BlODxyDNir/C+BUxnaPo7uY+9MDblO/8TSAj2fvPw7gG7L9j7PMx/sBrDA0uNWR8QCPA3g5hPA52TVSfWFmx8xsNns/AeCD6PJLzwD4aHaY7wf2z0cBfDscRqEZixcP6g/AhwG8gm4s+ZeDbs8B3+u/ArgEYBvdp87D6MbE3wLwavY6lx1r6GbGXgPwUwD3Dbr9+9gPv4uu2/4TAC9kfx8etb4A8JsAfpT1w4sA/irb/i4AzwE4C+DfAFSz7bXs89ls/7sGfQ9Ff0lRm5CQsK8YdPiTkJAwZEhGJSEhYV+RjEpCQsK+IhmVhISEfUUyKgkJCfuKZFQSEhL2FcmoJCQk7CuSUUlISNhX/B9yzQP66TH7ZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(nd.rotate(mip, 90), cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks impressive, doesn't it? You can clearly see now that this is a scan of the head, and MIP projection makes the implants stand out. You can clearly see a molar implant there, along with some other dental hardware. We will examine this image closer in the lessons that follow"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}