[d5a629]: / dicom_heart_seg.ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Heart segmentation: Virginie Do\n",
    "# Dicom reader: Guillaume Lemaître\n",
    "# Pixels, HU conversion: Kaggle\n",
    "\n",
    "from os.path import dirname, join\n",
    "from os import listdir\n",
    "from pprint import pprint\n",
    "\n",
    "import pydicom\n",
    "import cv2\n",
    "\n",
    "from pydicom.filereader import read_dicomdir\n",
    "\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy\n",
    "\n",
    "from skimage import measure, morphology\n",
    "from mpl_toolkits.mplot3d.art3d import Poly3DCollection\n",
    "\n",
    "from skimage.segmentation import clear_border\n",
    "from scipy import ndimage as ndi\n",
    "from skimage.filters import roberts, sobel\n",
    "\n",
    "\n",
    "# fetch the path to the test data\n",
    "#filepath = get_testdata_files('DICOMDIR')[0]\n",
    "\n",
    "\n",
    "\n",
    "filepath = '/Users/ICI/Documents/CACS_from_kaggle_model/data/CRE_104-1008-CT-01-6298993355423/DICOMDIR'\n",
    "#annot_dicom = '../OsiriX_annotations/Cre_102-1001'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1. Read DICOM directory\n",
    "\n",
    "Taken from the pydicom repository\n",
    "\n",
    "This is to read calcium scoring CTs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Path to the DICOM directory: /Users/ICI/Documents/CACS_from_kaggle_model/data/CRE_104-1008-CT-01-6298993355423/DICOMDIR\n",
      "    Study  : 20151028: \n",
      "        Series 1: CT:   2.0 (2 images)\n",
      "        Series 3: CT: HALF 75% 1.08s Cardiac 0.5  (320 images)\n",
      "        Series 4: CT: HALF 75% 1.08s Cardiac 3.0  (54 images)\n",
      "Series 4 is a Calcium Score CT\n",
      "        Series 5: CT: HALF 75% 1.05s Cardiac 0.5 CE (320 images)\n",
      "Reading calcium score CT...\n",
      "            Reading images...\n",
      "Check number of slices: 54\n",
      "Check series number: 4\n",
      "Shape before resampling\t (54, 512, 512)\n",
      "Shape after resampling\t (162, 200, 200)\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "====================\n",
    "Read DICOM directory\n",
    "====================\n",
    "This example shows how to read DICOM directory.\n",
    "\"\"\"\n",
    "\n",
    "def load_patient(src_dir):\n",
    "    slices = [pydicom.read_file(src_dir + '/' + s) for s in os.listdir(src_dir)]\n",
    "    slices.sort(key=lambda x: int(x.InstanceNumber))\n",
    "    try:\n",
    "        slice_thickness = np.abs(slices[0].ImagePositionPatient[2] - slices[1].ImagePositionPatient[2])\n",
    "    except:\n",
    "        slice_thickness = np.abs(slices[0].SliceLocation - slices[1].SliceLocation)\n",
    "\n",
    "    for s in slices:\n",
    "        s.SliceThickness = slice_thickness\n",
    "    return slices\n",
    "\n",
    "\n",
    "\n",
    "print('Path to the DICOM directory: {}'.format(filepath))\n",
    "# load the data\n",
    "dicom_dir = read_dicomdir(filepath)\n",
    "base_dir = dirname(filepath)\n",
    "\n",
    "# go through the patient record and print information\n",
    "for patient_record in dicom_dir.patient_records:\n",
    "    if (hasattr(patient_record, 'PatientID') and\n",
    "            hasattr(patient_record, 'PatientsName')):\n",
    "        print(\"Patient: {}: {}\".format(patient_record.PatientID,\n",
    "                                       patient_record.PatientsName))\n",
    "    studies = patient_record.children\n",
    "    # got through each serie\n",
    "    for study in studies:\n",
    "        print(\" \" * 4 + \"Study {}: {}: {}\".format(study.StudyID,\n",
    "                                                  study.StudyDate,\n",
    "                                                  study.StudyDescription))\n",
    "        all_series = study.children\n",
    "\n",
    "        \n",
    "        # go through each serie\n",
    "        for series in all_series:\n",
    "\n",
    "            image_count = len(series.children)\n",
    "            plural = ('', 's')[image_count > 1]\n",
    "\n",
    "            # Write basic series info and image count\n",
    "\n",
    "            # Put N/A in if no Series Description\n",
    "            if 'SeriesDescription' not in series:\n",
    "                series.SeriesDescription = \"N/A\"\n",
    "            print(\" \" * 8 + \"Series {}: {}: {} ({} image{})\".format(\n",
    "                series.SeriesNumber, series.Modality, series.SeriesDescription,\n",
    "                image_count, plural))\n",
    "\n",
    "            # Open and read something from each image, for demonstration\n",
    "            # purposes. For simple quick overview of DICOMDIR, leave the\n",
    "            # following out\n",
    "#            print(\" \" * 12 + \"Reading images...\")\n",
    "#            image_records = series.children\n",
    "#            image_filenames = [join(base_dir, *image_rec.ReferencedFileID)\n",
    "#                               for image_rec in image_records]\n",
    "#\n",
    "#            datasets = [pydicom.dcmread(image_filename)\n",
    "#                        for image_filename in image_filenames]\n",
    "#\n",
    "#            patient_names = set(ds.PatientName for ds in datasets)\n",
    "#            patient_IDs = set(ds.PatientID for ds in datasets)\n",
    "#\n",
    "#            # List the image filenames\n",
    "#            print(\"\\n\" + \" \" * 12 + \"Image filenames:\")\n",
    "#            print(\" \" * 12, end=' ')\n",
    "#            pprint(image_filenames, indent=12)\n",
    "#\n",
    "#            # Expect all images to have same patient name, id\n",
    "#            # Show the set of all names, IDs found (should each have one)\n",
    "#            print(\" \" * 12 + \"Patient Names in images..: {}\".format(\n",
    "#                patient_names))\n",
    "#            print(\" \" * 12 + \"Patient IDs in images..: {}\".format(\n",
    "#                patient_IDs))\n",
    "            \n",
    "            if '3.0' in series.SeriesDescription:\n",
    "                calcium_CT = series\n",
    "                print('Series {} is a Calcium Score CT'.format(series.SeriesNumber))\n",
    "                \n",
    "                \n",
    "\n",
    "print(\"Reading calcium score CT...\")                \n",
    "\n",
    "series = calcium_CT\n",
    "print(\" \" * 12 + \"Reading images...\")\n",
    "image_records = series.children\n",
    "\n",
    "#image_filenames = [join(base_dir, *image_rec.ReferencedFileID) + image_rec.ReferencedFileID[1]\n",
    "#                   for image_rec in image_records]\n",
    "image_filenames = [join(base_dir, *image_rec.ReferencedFileID)\n",
    "                   for image_rec in image_records]\n",
    "\n",
    "datasets = [pydicom.dcmread(image_filename)\n",
    "            for image_filename in image_filenames]\n",
    "\n",
    "patient_names = set(ds.PatientName for ds in datasets)\n",
    "patient_IDs = set(ds.PatientID for ds in datasets)\n",
    "\n",
    "print(\"Check number of slices: {}\".format(\n",
    "    len(image_filenames)))\n",
    "print(\"Check series number: {}\".format(\n",
    "    series.SeriesNumber))\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "def load_scan():\n",
    "    slices = [pydicom.read_file(file) for file in image_filenames]\n",
    "    slices.sort(key = lambda x: float(x.ImagePositionPatient[2]))\n",
    "    try:\n",
    "        slice_thickness = np.abs(slices[0].ImagePositionPatient[2] - slices[1].ImagePositionPatient[2])\n",
    "    except:\n",
    "        slice_thickness = np.abs(slices[0].SliceLocation - slices[1].SliceLocation)\n",
    "        \n",
    "    for s in slices:\n",
    "        s.SliceThickness = slice_thickness\n",
    "        \n",
    "    return slices\n",
    "\n",
    "\n",
    "# taken from Kaggle\n",
    "def plot_3d(image, step_size=1, threshold=-300):\n",
    "    \n",
    "    # Position the scan upright, \n",
    "    # so the head of the patient would be at the top facing the camera\n",
    "    p = image.transpose(2,1,0)\n",
    "    #p = p[:,:,::-1]\n",
    "    #p = np.array([image[1], image[2], image[0]])\n",
    "\n",
    "    verts, faces, _, _ = measure.marching_cubes(p, threshold, step_size=step_size, allow_degenerate=True)\n",
    "\n",
    "    fig = plt.figure(figsize=(10, 10))\n",
    "    ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "    # Fancy indexing: `verts[faces]` to generate a collection of triangles\n",
    "    mesh = Poly3DCollection(verts[faces], linewidths=0.05, alpha=0.1)\n",
    "    face_color = [0.5, 0.5, 1]\n",
    "    mesh.set_facecolor(face_color)\n",
    "    ax.add_collection3d(mesh)\n",
    "\n",
    "    ax.set_xlim(0, p.shape[0])\n",
    "    ax.set_ylim(0, p.shape[1])\n",
    "    ax.set_zlim(0, p.shape[2])\n",
    "    ax.set_axis_bgcolor((0.7, 0.7, 0.7))\n",
    "\n",
    "    plt.show()\n",
    "    \n",
    "   \n",
    "def get_numpy_img(slices):\n",
    "    slices = np.stack([s.pixel_array for s in slices])\n",
    "    slices[slices == -2000] = 0\n",
    "    return slices    \n",
    "    \n",
    "    \n",
    "def get_pixels_hu(slices):\n",
    "    image = np.stack([s.pixel_array for s in slices])\n",
    "    # Convert to int16 (from sometimes int16), \n",
    "    # should be possible as values should always be low enough (<32k)\n",
    "    image = image.astype(np.int16)\n",
    "\n",
    "    # Set outside-of-scan pixels to 0\n",
    "    # The intercept is usually -1024, so air is approximately 0\n",
    "    image[image == -2000] = 0\n",
    "    \n",
    "    # Convert to Hounsfield units (HU)\n",
    "    for slice_number in range(len(slices)):\n",
    "        \n",
    "        intercept = slices[slice_number].RescaleIntercept\n",
    "        slope = slices[slice_number].RescaleSlope\n",
    "        \n",
    "        if slope != 1:\n",
    "            image[slice_number] = slope * image[slice_number].astype(np.float64)\n",
    "            image[slice_number] = image[slice_number].astype(np.int16)\n",
    "            \n",
    "        image[slice_number] += np.int16(intercept)\n",
    "    \n",
    "    return np.array(image, dtype=np.int16)\n",
    "\n",
    "\n",
    "def resample(image, scan, new_spacing=[1,1,1]):\n",
    "    # Determine current pixel spacing\n",
    "\n",
    "    #spacing = np.array([scan[0].SliceThickness, scan[0].SliceThickness]+scan[0].PixelSpacing, dtype=np.float32)\n",
    "    ## New pydicom version\n",
    "    spacing = np.array([scan[0].SliceThickness, scan[0].PixelSpacing[0], scan[0].PixelSpacing[1]], dtype=np.float32)\n",
    "\n",
    "    resize_factor = spacing / new_spacing\n",
    "    new_real_shape = image.shape * resize_factor\n",
    "    new_shape = np.round(new_real_shape)\n",
    "    real_resize_factor = new_shape / image.shape\n",
    "    new_spacing = spacing / real_resize_factor\n",
    "    \n",
    "    image = scipy.ndimage.interpolation.zoom(image, real_resize_factor, mode='nearest')\n",
    "    \n",
    "    return image, new_spacing\n",
    "\n",
    "\n",
    "\n",
    "first_patient = load_scan()\n",
    "\n",
    "first_patient_pixels = get_pixels_hu(first_patient)\n",
    "\n",
    "pix_resampled, spacing = resample(first_patient_pixels, first_patient, [1,1,1])\n",
    "print(\"Shape before resampling\\t\", first_patient_pixels.shape)\n",
    "print(\"Shape after resampling\\t\", pix_resampled.shape)\n",
    "\n",
    "#plot_3d(pix_resampled, -1000)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2. Plotting one slice with matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotting 1 slice with matplotlib\n",
      "Image size.......: 512 x 512, 524288 bytes\n",
      "Pixel spacing....: ['0.390000', '0.390000']\n",
      "Slice location...: 149.750\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1f44d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Plotting 1 slice with matplotlib\")\n",
    "\n",
    "\n",
    "dataset = pydicom.dcmread(image_filenames[10])\n",
    "\n",
    "if 'PixelData' in dataset:\n",
    "    rows = int(dataset.Rows)\n",
    "    cols = int(dataset.Columns)\n",
    "    print(\"Image size.......: {rows:d} x {cols:d}, {size:d} bytes\".format(\n",
    "        rows=rows, cols=cols, size=len(dataset.PixelData)))\n",
    "    if 'PixelSpacing' in dataset:\n",
    "        print(\"Pixel spacing....:\", dataset.PixelSpacing)\n",
    "\n",
    "# use .get() if not sure the item exists, and want a default value if missing\n",
    "print(\"Slice location...:\", dataset.get('SliceLocation', \"(missing)\"))\n",
    "\n",
    "# plot the image using matplotlib\n",
    "plt.imshow(dataset.pixel_array, cmap=plt.cm.gray)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3. Getting CAC candidates\n",
    "\n",
    "Inspired by nodule detection on Kaggle\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_CAC_candidate(im, plot=False):\n",
    "    \n",
    "    '''\n",
    "    This funtion segments the lungs from the given 2D slice.\n",
    "    '''\n",
    "    if plot == True:\n",
    "        f, plots = plt.subplots(4, 1, figsize=(5, 40))\n",
    "    '''\n",
    "    Step 1: Convert into a binary image. Threshold 130 HU\n",
    "    '''\n",
    "    binary = im > 130\n",
    "    if plot == True:\n",
    "        plots[0].axis('off')\n",
    "        plots[0].imshow(binary, cmap=plt.cm.bone) \n",
    "\n",
    "    '''\n",
    "    Step 3: Label the image.\n",
    "    '''\n",
    "    label_image = measure.label(binary)\n",
    "    if plot == True:\n",
    "        plots[1].axis('off')\n",
    "        plots[1].imshow(label_image, cmap=plt.cm.bone) \n",
    " \n",
    "    '''\n",
    "    Step 5: Erosion operation with a disk of radius 2. This operation is \n",
    "    seperate the lung nodules attached to the blood vessels.\n",
    "    '''\n",
    "    selem = morphology.disk(2)\n",
    "    binary = morphology.binary_erosion(binary, selem)\n",
    "    if plot == True:\n",
    "        plots[2].axis('off')\n",
    "        plots[2].imshow(binary, cmap=plt.cm.bone) \n",
    "\n",
    "    '''\n",
    "    Step 8: Superimpose the binary mask on the input image.\n",
    "    '''\n",
    "    get_high_vals = binary == 0\n",
    "    im[get_high_vals] = 0\n",
    "    if plot == True:\n",
    "        plots[3].axis('off')\n",
    "        plots[3].imshow(im, cmap=plt.cm.bone) \n",
    "        \n",
    "    return im"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'get_segmented_heart_2' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-6-db138a5bc17a>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mimgs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0mim\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mimgs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m     \u001b[0mmasks\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mget_segmented_heart_2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mim\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m     \u001b[0mget_high_vals\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmasks\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m     \u001b[0mim\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mget_high_vals\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'get_segmented_heart_2' is not defined"
     ]
    }
   ],
   "source": [
    "imgs = get_numpy_img(first_patient)\n",
    "masks = []\n",
    "\n",
    "\n",
    "#im, binary = get_segmented_heart_2(imgs[20], plot=True, plot_progress=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 4. Unsupervised heart segmentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "# def get_segmented_heart(im, plot=False):\n",
    "#     if plot == True:\n",
    "#         f, plots = plt.subplots(5, 1, figsize=(5, 40))\n",
    "#     # Step 1: Convert into a binary image.\n",
    "#     binary = im > im.mean()\n",
    "#     if plot == True:\n",
    "#         plots[0].axis('off')\n",
    "#         plots[0].imshow(binary, cmap=plt.cm.gray) \n",
    "#     # Step 3: Label the image.\n",
    "#     label_image = measure.label(binary)\n",
    "#     # Step 4: Keep the label with largest area.\n",
    "#     areas = [r.area for r in measure.regionprops(label_image)]\n",
    "#     areas.sort()\n",
    "#     if len(areas) > 1:\n",
    "#         for region in measure.regionprops(label_image):\n",
    "#             if region.area < areas[-1]:\n",
    "#                 for coordinates in region.coords:\n",
    "#                        label_image[coordinates[0], coordinates[1]] = 0\n",
    "#     binary = label_image > 0\n",
    "#     if plot == True:\n",
    "#         plots[1].axis('off')\n",
    "#         plots[1].imshow(label_image, cmap=plt.cm.gray) \n",
    "#     # Step 5: Erosion operation with a disk of radius 2. This operation is seperate the lung nodules from the heart\n",
    "#     selem = morphology.disk(10)\n",
    "#     binary = morphology.binary_erosion(binary, selem)\n",
    "#     if plot == True:\n",
    "#         plots[2].axis('off')\n",
    "#         plots[2].imshow(binary, cmap=plt.cm.gray) \n",
    "\n",
    "#     # Step 7: Fill in the small holes inside the binary mask of lungs.\n",
    "#     edges = roberts(binary)\n",
    "#     binary = ndi.binary_fill_holes(edges)\n",
    "#     if plot == True:\n",
    "#         plots[3].axis('off')\n",
    "#         plots[3].imshow(im, cmap=plt.cm.gray) \n",
    "#     # Step 8: Superimpose the binary mask on the input image.\n",
    "#     get_high_vals = binary == 0\n",
    "#     im[get_high_vals] = -2000\n",
    "#     if plot == True:\n",
    "#         plots[4].axis('off')\n",
    "#         plots[4].imshow(im, cmap=plt.cm.gray) \n",
    "#     return im, binary\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# my Python implementation of Jorge Larrey-Ruiz et al: https://link.springer.com/content/pdf/10.1186%2F1687-5281-2014-52.pdf\n",
    "\n",
    "def get_segmented_heart(im, plot=False, plot_progress=False):\n",
    "\n",
    "    if plot == True:\n",
    "        plt.imshow(im, cmap=plt.cm.gray)\n",
    "        plt.show()\n",
    "    \n",
    "    N, M = im.shape\n",
    "    \n",
    "    w_mean = 0.1*N\n",
    "    w_max = 0.3*N\n",
    "    \n",
    "    binary = im > im.mean()\n",
    "    \n",
    "    for j in range(M):\n",
    "        profile_j = binary[::,j]\n",
    "        \n",
    "        ## Compute w_j the width of leftmost pulse\n",
    "        \n",
    "        try:\n",
    "            w_j_min = np.where(profile_j)[0][0]\n",
    "            w_j_max = w_j_min\n",
    "            while profile_j[w_j_max]:\n",
    "                w_j_max +=1\n",
    "            w_j = w_j_max - w_j_min\n",
    "        except IndexError:\n",
    "            w_j = 0\n",
    "        \n",
    "        if w_j < w_max:\n",
    "            w_mean = w_j\n",
    "            \n",
    "        ## Remove the upmost w_mean pixels with value 1\n",
    "\n",
    "        cnt = 0\n",
    "        i = 0\n",
    "        while cnt < w_mean:\n",
    "            if binary[i,j]: \n",
    "                binary[i,j] = False\n",
    "                cnt += 1\n",
    "            i += 1\n",
    "        \n",
    "        if plot_progress == True:\n",
    "            plt.imshow(binary, cmap=plt.cm.gray)\n",
    "            plt.show()\n",
    "    \n",
    "    # Final step: Keep the label with largest area.\n",
    "    label_image = measure.label(binary)\n",
    "    areas = [r.area for r in measure.regionprops(label_image)]\n",
    "    areas.sort()\n",
    "    if len(areas) > 1:\n",
    "        for region in measure.regionprops(label_image):\n",
    "            if region.area < areas[-1]:\n",
    "                for coordinates in region.coords:\n",
    "                       label_image[coordinates[0], coordinates[1]] = 0\n",
    "    binary = label_image > 0\n",
    "    if plot == True:\n",
    "        plt.imshow(binary, cmap=plt.cm.gray) \n",
    "        \n",
    "    get_high_vals = binary == 0\n",
    "    im[get_high_vals] = -2000\n",
    "    \n",
    "    if plot == True:\n",
    "        plt.imshow(im, cmap=plt.cm.gray)\n",
    "        plt.show()\n",
    "    return im, binary\n",
    "            \n",
    "\n",
    "\n",
    "\n",
    "def test_contours(im):\n",
    "    imgray = im < 604\n",
    "    ret,thresh = cv2.threshold(imgray,127,255,0)\n",
    "    im2, contours, hierarchy = cv2.findContours(thresh,cv2.RETR_TREE,cv2.CHAIN_APPROX_SIMPLE)\n",
    "    cv2.drawContours(im2, contours, -1, (0,255,0), 3)\n",
    "    \n",
    "#test_contours(im[10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1f40e1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TrXIUTtYhknA8zhkKeiRLS0ut+DruyRDjbiZt9ft97d+/X3Nzc7r55pubY7ENrAd5mtLUKnmBEunHMC0ep+fgc1ZXV7W4uNgiMKlIGCKyX3ju9PR0Z+o2cg+R7zgNHzexqKsrNwHTjqMbzw1EOCgMWl9pI263YPu3aOUYo/q6OO0XvYfovkaU4mVaMp/D390Wewj2jEpTdqz7aDTSwYMHm3rPzs42QkIPJwoKp3zZDtaT91pZWWkp6Ngmfuc9nNtBpRu5IUmt5xuVKbmEaBD8nURmfEa7BVUxFGClQMGxS02iy4iDzJaUBKPDDIcMvJZlUQkxJuZ9jLjfoetZ2tuAA5schy2gz/V/CrLLp/WkgmM99u3bp8FgoLW1tUaxlK7lrABzHXxOqW2RADQXYvgc8jP0FsgPsG8Hg0Ex4cr/OY3skNB1ibM1ftZUCpt5hZOMqhgCrBSIyA3QcnIgRx5BUisejyiFBf4c4++Yy8BzNnP5WU96IhaQ0lQgw5UY+5fcelpsg5upMAxiW/2fswgkTUseAdeL0L2PRGFsCz0vnu86RNLSxx1SuG4MveJx5pgw36PEr+wGVMUAmFOI/ECcHpTaHEB0W3kOrRtnKygcHrRM+aXFj1apFALE+9Oq0dJGXoLeATkDns/yeC9bRt4rchv+Y3o4lSWVQknhUKCpDHhenOlw3/saKiVOUUaClgqC3kOsWyyz9Ox5bVUMuxT33Xdfa7WdVH6gFCIOjEg2RRKLioMCH4kylhndVXsqFpjhcNgSMtfDRJ6PxZWDRiTHKERM0iJxSYVJwab1pdKiQvC1TMV23fjSmVL9KLz2GnyOSVNa5sh/eFqUC6/ifdjvPu5+53NkO13nGIJQKcTpzd2CqhjUzsOX2glEtO6R3IuEGhcMRcGLMXMsQ9pImY5koLSxUtKD1QPS5ZmQsyAzaYptjDMSpXPcJoZGrA9nEVhW3Bgltpf8RWwnQQtNJcXyStOfvjZyEb1eb0ub20YiOCrZ+Ex9X44b1o/12G3K4YJXDF/4whc6MavUHsR0vUk+lSwl42nmANDySW2l4uvIKXCgx2zI0rSh68pEJN6Tf7HckvC7/hYOlhm5BpKHzHBkfaPwRB7F7TChSMXketsroLKIBC29BPI/JWtPBc7Zn1hPPlf2QXwGvr+/u48345gmGRe0YjDRaPJufn6+wxswxo8PmDG2hdLnGdHy0dKZsCTPEKfTokIg5xETqxii8F4e0Cwr7s1ApURlEFdg0nrGGZrIX8Q+iJ4C15B4BoN9TVI1KlX/LS8vdwjaKNyRR3EZkSBlFqf7lfwHOZGSoinNXDGM3E24YBUDN1Yx4gYhRom4i9NaFqwYJsQYO7ravD6GKj7uOLz0u8vgve1BRAKP7WP9o9cSPQL+RgEtWUNa4LgOQdpQkFx/EcMCChtzPlxudNNj2BJDgugNRgUSeZF+v9+qP3NSrHwj6FHQg6rk4y4CV0hKagkUhcOZgCShOKXGdRKMnTmt5oFSmn7z5zjrQQXE+9jD8L3W1tY6iVSc/SgJjYWFyiCGBBSQ6G7zz23jHg79fr/JCTBi211X3pezARQmEpWsrxWf7x2F0srAb9aisouhWPRGfNwEr8uNQs66spyogFj+bsEFpxiOHj26qRDGGJL7MUpt1zxOoxkxZmWCTQwDeJ4VSiyH4UG8l69nGyhAbBNDjOgVRCsXV2JGT4H1ch/4fylGj9yGEVeYxmfifqGwRuXE3zZ7Dp6R4LoKCrHL5cpKlkulEQlp9kNcG+P2sl92Cy4oxeDwgYqBljmGDCSo/JuJsRj7lwQiWihpQwEwO871oEDwupJC8D2ikosKwP9LMxExZIhueryO7YhhE+/ndlKoYp9HRRH7m3UpKQT2fen+FvQ4dcnnEhVA9LTcfmeHxj6lsuKzjKHjysqK5ufnO89vkrH7gp+nCM8+cBBQwzMDjwNDam+l5v0CfZyxZIknYHhCQd+M/Tbi1Ff0BFwOQQvv9kSrbmGJltyzAZGc873j5+jiR2XqulLRRV4lEnPRK+HUrPsixu7sG/a9OQx7CnTrWV8ipoLH360ouNs1lRefIxeHPfroo3rrW9+q3YQLwmO45557ii44P59usxD/j9aFRBfP9We6mVQEpRkHXl8abBSYOAgdS0sqEmO0XnSHIylmjiJa5egF2QrHMngPt6/kvficKLBROTJUcP3Iu5RCmXivkmIs3Ytciu9jLiOGKlGxxvDEZdhbePe73915JpOOC0IxlJKLogtOlzfOjVNxxHOjZSGHEDMpLRSMqx1b2xq5XCoJ5jHQOyGBGYWjNIsQl4zTGvNcKrHoOpMT2QzsHypR149lxTje93U5LsNcARVrFHImXrlv2S+lOlPR00OM/XC6811/5l34ftv51vDtxHkfSphsLPEAFPiYLhtdzpJ7XLLqkXT0b3YtOThPt3qS4QCFKRKDtLilvQn8W4zXV1dXtbS01Ao5uMKQcb6/s/4UUFrOKKzskxjGMY055433PdBKsx/8zOKGONGriBacYSKVFscE28yy6NXw/v6NYcVwOGxew+f+6vf72/LW8O3Gee0xeDu2aFU54P1dUoe1Lk2V+fzoEdBdj7xBJDhLSUinY655L97D5ZDrYF38mVY7xvRR+OPvXCfgECSl9anc6G5H74kWn/0f6+Z+IHdBb8JlDIfDzpqWuH4luvMxkcugRxUXXrEstqUUTsawkuPFZc7MzBSf6yTjvFUM9957ryQ1OzdHl5iDmJ+jADGtmYLkAcHsthi3GiUCjYoheg2RITc227eBv23GjZTuRfeXv0erG3+zoEULXOIRqBA3m5nwtXGWhkIXQ6vYX6yPPbQovHz+7J/V1dUm14F1iv3n7zFXhMrEcH5Jr9fTwYMHtdtwXr678r777msGPREtGmPSCA7yGE9K6liIGG9yg5Roreh2p5Q6U5cufzPm38JiwtHlcwdkW3fyGKUUXd8npdRMxUbrSOtN5eCyHZJIavV5VKhRYO15RQscV3e6nlG5Gj6HHlS/328yGBmCRUXvepgLiPLAfozP3XA/sI+cTj0cDpVS0vHjx/WLv/iLnXF2jnH23kS1G8ENPy2kHhBxt2DGu5JaA4lTeCXLUXLXCQsE49fooroOMf6PSsH34TVUAPGNU26TY+RSfoPLIXcQORMKG5We+1dat47D4bB5ga3vz2ti/7iNXJEZ+yZ6JTGjMnIZVLaxPBsKhyJuw+LiYkNsui4x/IkeQcmDiG/wMgfhZ7hnzx7deuut2i047xTD3XffLam9Ki4KUXQD+XscyD4Wd+LhEmcTUnzPBO/N8jdj+i18nAqMLDrdXCo2/0YFZUtsIZW6S5c50CO5Gkk/D34rSt7X7XKdS8Qk20Bl7XvGY6wrCdH4XFkfpz+X3hfh8vguTvcDCdhISrLfSXRGLiOOrXhtv9/XwYMHdcstt2g34LwKJe655x5J6w/BvILd4xiXclqSbyyS2uEDOQen8PoY3Xa6mJHcdGq1B/PCwkJTD4Mu7ulAtz8ed91ju3w8xtdRMVBRkRcgp8A6lzwg9rO3gGc44fAt8hC0zJzOjc/Mx+kBui5WqG4T//O5lIjSSEBG5ebZByouelL2QKwg5ubmmvLcfwsLCzp58qROnjypd7zjHad9ztuEs7d9/G5CdLUjyUcr4Ie8GSkVrUYpBODgi5a2RMr5vr43BW0zpcB6R2+Dbj9JOioy14/CH+NzciSb9UVMfIrnR0Y+Eo3sE5dL5UYeg9a8ROzFtrjNcfqT/ADrzXq4TZzdoPKI9Ss9s+gx2HPidLOV2Ozs7BmV/yTgvAkljh071nLVI/kWLUdMt/XAj27lZu5tfLgc0HQ3o6Lxa9zocsdY2P+jIjPn4Xsx74DKI9bRfUKrzPAh5i+wvq5LPM77UTiYhhyXVkc3vBSbG/ReKLwMu2IYRUVEoS89V1/nV+txytXtjIqhFNLwmbmtLt9hDts7GAy0Z88e3XzzzZpknDceAx92SSNz6zMqC08reTB5gNBaSe11EXHTlTj3XnJXo9ua8wZD73qT/Y5vWJLUep0biTa3rSQgrEPMN4jWlLwEvRN7OO6vSFAyPGDoRu7Ayph9QV6B/R3rF9vBPmE9qQhTWs+1sNAz9PBsBfva7SBRG70IkpH00PwsWYfRaNSMF4aeLuuiiy4qjOLJwXmhGJzIJHUtuQdXiUuh0MbfmdRUUjTRmkRCk4N1M2XFeDben3xGtGT0CiIhR2sek7BiW6P1dR05o1OaKpXUyg2hN0DX2df59zh9HHkYehRWNrGtblfpmcX+jjMU5CCowH0dPTgrBd6nRKjG8RE9UZ7DOvj1eJOKXa8Y4v4KkejyA/fUGN1Mqbvbc4Rj19Lg8PdoWaX2NGO00j4WB3fMbiRhGUGCjgO4xKa7bvE3DvCo6GJ4Ez2PlZWV4qpFey88zpkWbmUXuRN6BFT0Ucmyjr4+9m1UeO5D7oTlPvEu0+xvCrKVWgxfYkYsjYPLmp6ebjw9ehpRYU8adr1iiDMAfHgMC4zoVvtYKTZ3+U7/5X04uOmGeoAz47KUcst7RIsvqZWcEy0nr/e9KQwuw2+HTilpMBg09bO7798MJumYQOObsfnHLd8ZMiwvL2swGLSsu9tgZp98C8M5KoPNyMZorY3YB352PD8movFa9pmPxaSlqLgcrjDt2vccDofNfeidrK2tNW8Bn2TsasVw9913Nw/Im2n4AUeugNNGJJHIohPRksbf7R0wBqaVpVKI9+F3qT0wGVdL6wPL26V5kFPRbFY3svW0njFsoLDxL+ZQUIApLDnnljWlwqXldRm07HT1Y/9ET44CzZCDqczR6+HMTynU9DNivcmPsCxOizJcJAdBD8P3KnkuJF0nFbt6VsLJLFJ7WW205DG+7/U2NtuILqjBQeyH7uw4/7ewxPiYZQyHQ83MzGg4HDbnWVhiJh+JTQ/OSHoNBoOO5SXzzlkKKi1uMBNjaNe13+83gkbE8IseBWcVpqenNRqNNBgMNBgMWhaas0WSGhLQbbX34pkXrkYt8TQWMD43ksOLi4stspYEKZUrBTt6W2w/Q7f5+XnNzc3p5MmTOnXqlBYXFzU/P9+qo5PdPD6soNyW2dnZic6EnGy1dRp88YtfLMbVtriRc5DacSk1NhNxOAgjOcZt2qNVjDG8f4szFGS+ydT7fPIMjG8N34tufIkPYJkc/DyHglbqSwufy7egxSxQE2lWlNHtZ32pSFg23Xaj5MbzON1z1zeGej5G74rPwLDwlsjGWDZnOjwupqammpTwaKRiqMhU+0nFrlUM3uDToNBHwS6xy5sJkwdRTFDxdYbvUfISOPijCxvPjyEIB5QVHIWV7YkWn6ED6xtzFPxbdL1tbUsD1u2li04hYF/E6dvI4cS+jdOmrA+VaaxPfO6GvQ16Ia5DXLYdOR8SiSVeyd6N1+P4PvZ+nvGMZ7R207IyZLnkQyYVu1Ix3HvvvS2L6QdOq0xFwBieFq1EChpLS0sdQeLDjVbIcXbcLJaKpqR8GDtHAjUy7ww1OCMQdyfmQDYHQOtGa8t7OZyIC8piH0QiLr4ZijwF+4leB70LgwqF4Vlk8V1/hgMxRyKmTLu9JlRjVijHDsOGqNgXFhZ06tQpLS0t6b3vfW9Tp5tvvlk552aJNfNK6BFxHFWP4SzC74QwqHlL2p/nOmswehQkKF2mr5faqbn+Lm2QZ5FcI+lFq12aPYkby3oQRUUVFUQkumL7KUyR/Nzs1ezRs/J17uNYd57HOtKb4WyN1H4XJcMiu9ZWHDGtOIYlfP5ur+/lPIyouDkmotdIZRn73s/PO0z96q/+aud3hqNsn6/lcyGfM6k4I/mYUhqllL6UUvpqSulvU0r/bnz8h1JK96eU/iGl9ImU0mB8fDj+/o3x7885mxV2zM14P7qSPs5YOm7RFQWKhOXp4nUf5++2TJtNh5XqyfiZ3kyJCOW9XbYtdXzFnX+n0qLAk/WP9/Bxex30ClyHGL5EcpB9TmI08gX2HiJfQCXDV8QxhXyzZ0QFZGKaXENUKiZPrYRi2Obnav5haWlJi4uLKuF973tfceaDz4TK0N7lpGIrsxKLkl6Zc36+pBdIuial9FJJvyXpSM75uZK+L+lt4/PfJulM7eNiAAAgAElEQVT7OecfkXRkfN5ZhwfkZtqdS6AtPE6RJYPPcCMO7JLn4UHkgc1pUVpU1isqFM8q0K339R4wduk3e5UbrbHbaUGL3EbME7D1K2UiRuIw9pFdfE7HkguI8TQ9KAq5+8ezPP7Nrj+VHhUvnxH7UlJj0Uv8EYlFKm8v1R4OhxoMBs2eja47Mzzdf4cPHy6Oybe//e2Nt8eQhFvZ8zfnOkwizqgY8jpOjr/2x39Z0islfXJ8/HZJrx9/ft34u8a/vyqVpPcp4NixY60c/OjKGrRSBl1S/86BTOuHtktqx/clXoIWmNfQlaWA08WkC1xSLBYQ8gZsZylvgMpNaqf7+hivpdWO04gxFmeoEetK4abL7rbF6VSGEr7OU528TxT02O/x+VoZsd/cBraldDx6RS7bCttTz5vh5MmTWlxc7KzFcXvjJriTii1xDCmlKUkPSvoRSR+S9I+SjuecbXIeknTp+POlkr4lSTnnlZTS45IulvRoKPNaSdc+mcrGuFFqJ8lEQsqwhScBFBEZaA9kKwwOSJJ1dunj/aIupGWPAzbWj0Lg+0RFZu+AC4Fi3QyGGxz0dLPZx25zrAM9Cd6DQrxZ+EFExULiMOfcvDPSXk0kfVnXUshjxcAybf0j+UcvhF6W78WkLivN04UAx48f74QocbrZz2u3hxLKOa/mnF8g6TJJL5b0z0qnjf+XvIPOvEzO+bac8xV5ixtH3HvvvS3LaiErrU0gueNB4GP87sHH7/5M99/JMrxnnF6LcXwEwwRaQFpMD2j+RUHmFFjkEny+Bz9nPkhE0kugBbfCIi/jWJ3n5pwbItffLQyx7f6ddXK9+DwZiklqhRQlXoRTmG4zM1sxzpp6kJvi1u8+j96Z20RvqN/va3Z29rSk4dvf/nZ95zvf0cmTJxuDwbDVf/Y+fvu3f3vTsnYST2pWIud8PKV0t6SXSjqYUpoeew2XSXp4fNpDki6X9FBKaVrSAUmPPd2KMt6M7jQFklaM/71acdyOllUkX8GZAgtxXO5MzyGiRHLxN3o6kWCzYEWFUxIerv2PadRxdqBEXDJsoRdFzyAy+AxVWCf3qetfWiDEcmJ/uA0uh8qPiF5JyTtx27i5K0NPeigkWb1uw8/GZTJ09N+Z0plNUNLTZGq8lZCkifUazqgYUkrPkLQ8Vgozkn5K64Ti5yW9UdLHJb1F0p3jS+4af79v/PvnciQBngIiAcSBFAe6j1OgaSWjVXW5dDE5rRbP9Tml6Uq655F0jIRnDItKyqTkgdCqxzl3t4/ZnxYMpkjH/qRSoWXjdCX7z9dETiaGHNLGfge8hoqO4ZLBtsVn4RkC9q/LpVBH0INaXl7W3Nxcs5hpeXlZe/bs0d69ezukqZ83eZbTwZ4C82f8PRqHPXv2nLasncJWPIZLJN0+5hl6kv4w5/wnKaW/k/TxlNL/Jukrkj4yPv8jkj6WUvqG1j2FX3q6lfzsZz/bsSB0NSORxJhXaiuVkuvNa7iewOWRf7Bl3GxqklaQLrTrES0tlUNM5Y5lu93RKnOmJMbcUZjZB1I3iYfCyfqyL6JysQBQWFk3KkNuHx95AJbn6+IitVLqtOvKVbC09AwN5ubmdOLECZ08ebLzTsnf+73f06FDh1qeGENXPoPTYXZ2VqPRqONdug3ur9FopEOHDp22rJ3CGRVDzvlrkl5YOP7ftM43xOMLks76Bvoc7BT86J7G2J0cgqQmA1BqC0m0zKeziiVXWdqwKiyfdfLg9MCgUJ6JACQRGuNo9gO9CZdVCk9cR0/vuV/ifRmKcHDTC2L7qESiEFNIeIxTgjweQ7KopHheyQtifd2Gxx57TNdeW+a8T5061ZpKLnkLcQfqiBtvvFGHDh1qZi4YIsbwTFpXMrfeeuvEvfh2sudMtL60uqQU+B6AyDl4WtEDjuRYtMgc6B5AJLZo1RjXx5kFl2VB4zsKGO7Eef+pqY3VhFw5aWVAi+/y49qHSISWtrKPHlRUpvFeFGJ6PS6X4QLfMcG2Rs+o5AWxbSUX3bMAFiYKJpUfhY0KlGNmcXFxU6UgSdddd13Ry3N5fv6nUwycbnXd2If2yrhF3iS+qWriFQPJHrL1FEwOCg/GpaWlZnqKsxNUHP7u8hgicIl0VCa8D3kDzlaQfaegRYaaA4jTqfG4tEFUkQhke1if6P5GQXc5XBvBl7H4zy9kic/E/eIVhbTYPC9afSuShYUFLS4ubvpuTD57zzDFl97Syyh5Sy7Dqdbf/e53TzvWjhw50gpDHFouLy839ZiaWt+W7UMf+lCxjMXFxdZUpOtpniVOWQ8GA+3fv18f/vCHT1u3c42JVgyf+9znOgw7Y/5IOnLQU6D9QGKCUglxgEXBienCkUSLJBs9D19HzyUqCIZCcZ0BzzcYBlEZnI5n4fn8jfeNvERcs8DfS5/pdnNqMhKuvoaInAPLteIspY6Xpil9vtTeTLeEH/iBH2itKbECjpmnvV5vU9Kw1+s1G+v4eUeFGftwNBrp4MGDuvHGG09bv3OJiVYMUnexDRUDXTt3dMx9j5a8FLsaTMMtTVPRIse8BrrTtP70SOIAKZ3HvIJS/XhdHHylv9iPVAwxb4FKKLq+pZfyRCUW5/2pGF0Hty3mIcQyo6dGj4Ll+V6lcjiFe6YQ4KabbmpcevZ9nI2y9d+/f78++MEPdsq5+OKLmx2io0cYuTH3gfMjDhw4sGn9zjUmWjF41yOp+/CpGOzyWQCljQSWOMAY25UGJxEzGGPsaWVAS7qystK4yUwppuWMrrWvi95PPO61Hl7MMz8/r/n5+ebdCL4neQB/j4qLSoGxeyQQ6Q1Rudmtj7NCJUVKhUsOgu2nBxg9MApT9Cao6OPUbUy/3r9/v2666abiWLv00ku1Z8+eVlgWSU3XczQaaf/+/br88sv1gQ98QJL0oQ99SB//+Mf17Gc/u+UlOpx1ua4rlXq/39fevXsnymuY+GXXfsCleD+SWEa0mrRevN4PnJYkegqGhScOymjNNnPhac38KjN/50CMqchUDnEGwPUqkXwu13XmezWYF8DZDvaNy2M2Y7Sk0VOJ9ea5bncMU/if+Q7R4pqktXdWCq9ondket2NmZkb79+/XkSNHdP311+vw4cMNWej8BXuCRIk0Nb/yrGc9S7fffrv27NmjmZmZ1t6jDEdXVlY0Go0aDiNySf1+X3v27NHs7KwmAROrGO67776WVWFqL91eTkXxHGtnXyu1BzMtij0LlhFdVgsgFYR/IwseQxUqJgsc28C41wPfxz24uJsz8zA8uGy1Y+xPS7rZYLcQsR+NyNvE3AkfY3tYNsuJnEJ8FmbqI/nn8y3o7hevkiURSmHzPX3MRN++ffs0HA71sY99rMV7kNiNpHbsUy4XN9fAvT58LUnSU6dOaTQadWZ/4n0mZcXlxCoGJsvERJNIYHF7cz+YODtgqyl19zZwunQkNen6kcSKsSqFxIrD9XI9oifgz7T80f333oKsG+sSlZPvacXm2Rj/ZqGi4PjeLNv3ozKjojOoQOkeR6VK0tX9RGXvsv3Mo9BEzySSvLyXwVknJj7t3bu3E0pasdF78rVxPMRnb4/KMxc+l6GsE6oOHTrUIU2Z4zA1NaV9+/bptttuO+206rnAxCqGV7ziFTp69Ggrw5Busx9gTNklLMgxm1Fqv/kouukUOqntHnNgsDyez9V0JEppGWNszRCDU6b2EOgN5ZxbS6M3Y/ijAqCCpSdgN30z4WO50SrSe2Ff8Xcfp8tPC8xjrBe9mDiDwnHBfS3ic2Fb7Rlx+z3OEJFkjSFrHGORXKXii8rU92H/eSzYGzR3MTs7q/n5ee00JlYxSO0pPqmb5eZOdlzH2C4OdsMPJb5sxaBFptKhgHGQkmfwwOP9YlwfB77/m8yT1Ep04opAt5+Wmes6XLavITFI0otEaEwEiuENBYpt5TPiM4mZgVRm5GFin8cNdON93E+06PQUfS09JHqAVAT0oKh0SZLyOMMShxGRb2G5/Gwlbn7BZQ8Gg+a5R+9tMBjo8OHDrT0lzzUmWjFQI0drEy2Qz/Hgi+EDy6SyiG5lLFPa8FTigOcxWrxo3WL9OQg4izIcDrW6utrEz+QyyKdELmAzbiMKPNtM5cR2sQyWzfvTa4jWPp7P77xv7J/YT753afaCnImVSrwuhiKxrkwBtyLcLPcg8gbxHGbE+jwmOM3OzrYyWtm3kfi2RzMzM9Ppm3OJiVYMnELjVBnjcaPkItMi8yFEMozXUOFEz8Tlk6AyOCiiRXG8WVJSrMNgMGgyNm2ZOJhcn5hLEJUNwxe3K7qyrKc9AtaJ4QRnhWh9fZ5BD8tuOa0nFQvvtZlXyLCRxy14fBZR8fk/n5lnNLjU2cfZZhKY0WtkX3Fn8BgW8Nk4nbo0rjwu/ExNQI9GI+0kJloxvPzlL9fRo0cltVch+sEw3vZg4CA2SrEnwcEVw4XIkjO2jJaRrivvSWHx4CKPIG0sJjJsnfzn0Ch6RIx5GcZQOZS8H9+Dgm8wjqcCZuzs9pFlZzs96N0OPxPXMZbh+5UUYfRUKKjMZo1wCjPDKAsw4T7gd3p/vi/fN2mF6vd0epqTwr66utr8Pj8/3/E4PbZcH/MMJjJ3EhOtGKSNhxTjeuae04LRskntLdtYBoWUioYDgtaNsXwp/uXxEtfADVmi8uJ/Wha6rbY6Mc6nFaXQbeYRSG3l6muo1HhP9kU8l31Jb6zU925fSeiiwPMcC3Q8ZiElF8DyPLNDhe36xudcGj8ca+4/Jiy5PHIO5lsWFhY0HA5bHpH7I/aDy4ue2GbK7lxhojMfJemqq65qPtO95EAw7NZFC0C2OcaiMV73cV/HKURfH+9Ha0SFQOGKW8NzR2OXReGnK8+FRLaCMYaOyirmGXAKlLthMf+C/evzS15WrHMMrViPKPx8Bq4DM1g5908FE9vJ8ng/PlN7B3FFqM+LCoH/6TVF74vlOOzbrK+iR8l0fZYfn8FOvw174j0Gg4yyBy4tbAwD6GJL7QfNB0j3nQLH6cU4eCLXQGvLff44H55Sapbj+qFb6D0oPMg8iN02LuSye09LyDbEHZqpXOiJ+D+n7mIqMHMoSu6820qB8TUpJS0sLCjn3ORTbEbuuW9jSrb7yNbVfWmCjinnPJ91sFFg2VauMaOWoZOv9ZZvXNdA607vcGZmpnmOJ06c0NTUlEajURNa0Ai5P6X2Og6378SJE2cWim3ExHsMknTllVcWmXgup+Y0k3+X2qnDXHRV8hQsHLT+0sY6B74hm9YvXmdQAKNL6zr6GEMBXut7x81fWWdafybWuN0c/NGiRuscQyS2k2XwWp7H39g2Cl/0eqxkojtPgWRYx76Le2yQTCz1OZ8Z128w9GDiU2lvi0ig9nq9Zl2P7/XYY49pbm6uIST5PPg/ttfPpTQ+zyV2jccgdWM1D0Bq/jiwo+WUyjyF4d84uHzP6L7bWpfcWg4A/06rEacifS65DKm90Mtl0fpZAEt1jW1gvaRuOjOFutSPJCl9X18Twdg8kqJsG/udXlZJIUndHJISYrzOmJ48SrxPqb+iQoz1cptIOtN79XskPN4iaRw9J3shO71J7K5RDHRn6XbZ0thaShvhAT2EaGXjAInKIw4Ohim0YJFck9rEUbQydt8pNLYqHkCLi4ut8qmQaFkj8cc+ibtI0wpFApAEZgzXXCZ5najUqJxcz9LvUYlED4ChWfzdeQfMG2HIw/rGevAvKr9Yf//OmD9yH/G5MIy0h/fsZz+7yU2hJ8A60CN1f3HL/p3ErgglpPWpS4KuZgwNrKWtEOwS+jqpPdhpfanNDX4nQUQLIXV3gZbUUSI+L2bZUXAimcd6kByMXEokxEg6RtDr8fUxe5Shi7/zb7O+iv1Ni8qyY3jDYz6fz4zlRUVAwXYY4PuV6hvde4YsrAufOZ9tKYQiv7N3794m25FGxQlsJp95T3MYLmsnsWs8BoNWJw4kMr0GhYnuX/wslbdxjwO6xGNwIMZY2L9z4EaSLwqOBwZfiCJteCIlT4f9wXrSRY/CzXoz3CEh6nLZt7HfKEhULBRu1j2WGxcvRWUTSTsKWvRAnGy0tLTU8RT4bEr3oELjs7HHxfwTh4UxTInji2EuuSv2mX+j17Z3717tJHaVYrjyyit13333tR4qwwojun0c2Dm3VwTGEIGDnfFgjHV9nzgwubFMtFhMgqGyMTiDYGItblQTY2N+XllZ0WAwaHEQUUmW3H5aQoYfLpOKw9e4bxwGuew4s0Cmn8lWVFqRuyjF9HEa0/Xjs4yCx3ow/KFwu+zo0dFYWGlxBofPguGsQ4dSmb1er/EUvMnt0tJSi1z2jFX1GJ4kIqFElzFa60gEERw4tgrxoUeyk4OVAsqHXxJcxuol5eLfOP3GtmzGYcQY2ufGQVVauGTQgpONJ5fCbd0owNHr8r2Z7ERPxDF49I4i9+F28Hjsh6iESso2eok2BPTeaPF9jAYi8k6lZ8GwIi7sIg9S2h6Pz8HllaZhzzV2rWKIcSh/k9rz4lQOpQdOpUILzVRdK4r4UKPFMrno74YthsuKbmS8H3deYpucFMUwI7qwVGql0IlwP8U6RZeXpG+cyWBZ9DyipxX5E9/b15EA9l+sF+8X4362k8QqnzH7lKGfnwEVF727kqCyfQ5h3LbhcNhSjFawfrZuF99lGknlncSuUwxXXnmljh071omrpe4Ukh+4Y0Mjxru04D7uBxePceDSolFw4nUcgBQeg7MCvBcTgiwA3MDGoQYJs1hfW9ZSWnEMK2ztuBuR62qFRAad7WP8bQXpPBOHEex7K+HNhIAJSuwnehQm79yvcZUlPZ6oZHwewxx6RNFz9JoHJshFHoYhga91f1OJsw84/tx/Z9rN+lxg18xKEJ6hsHvGwSC1XxgrtRlknkchoctLd75E7vkzXVUSoBxwHKSuMy0E78cBSwIvxtt09y0g/osuPoXGg78UEkWhY1/EfvPgdSowZ0FO50mUPCVOv0bSksRdDDN8LvuTBmB1dbWVRRpDDo+T6AFGr4rtcV8bJoitkDhDtra21mzO6/JXVlY0Pz/fvPSWfeC2crp4J7HrPAaDiUC07jG8YLpunELzoIvrKKgAbLlpzaPwk7WOgu9r+KD5vRTj0ppzAxPXh4qBSiwKOq9z2RGxzeQDnDvAe7OMUrzNtSGuDwniOIPhe1NwI6lL996IypIeFonPUvnRiFA5UGnE52KB93igB0WOiMSo+5Meq6TmWFR+LmunvYZd6TFI0ste9rLGfbMQlFJtowBHq+jzYuy7vLzcbJjCweXf6QK6HlL71eolIaJLaSvOvRndBpcrdXeuLiknqbsXpcvwQKMy4f4W9lwoUF605f5x2/z2KCNO2cW+dhsYW9MzYJ9RwNh+elbcpyLmq/g8Pi9/pjWnMmAIEHmQUkhIT897cvZ6vWY9hLf3j6SyZxuosH0PErYO2aanp3XkyJHO8zxX2LUeg9SOIaU2C81tz6Uu0eTzS4heQyxbapObm+1uHLkEl0N3mm407x+tnuFrSh4Gzyd5yLUTvoZ9YgXj32IowLr7PJe5mRJmW+hxxSlgtoFEYfTaYh9EK2zPqjTDUfLIWKbHEPuV2+1HLyPyMuybzfgSPxMrNP635+E/j9+dRCoN3nNeiZSeciXuvffelmtqbUuLwcFJxcG2bzbVaETXUmrP+dOK0mKViMWoePi+BF9HF5Mp0/RibP0sVLagFl6Xwbz7GNZYofF+Ps/W0EqGypYC6PZ4nt4eg8tmXVmPkqcTQ6KoHBj++Z4kZvkcKeRsW1SSKbX3d/B/tqE0fcwwIZZJTsnt8nF6L/bKSDyeOHFCx48f15vf/ObOOHyaeDDnfMVWTtzVHoPUngaMx+MgpkWgtfLA3cyybRZX+zOnumLZ/M8Yl4w18wZonaLnQESLy/Rvus9k70uhlAe3+4B1jJa9VD//+TdOEcfYOe7mTE8h1jv2Y1RabA/DQF7nz3ym0VOIzyr2cQwx4xiK+2ywrGhg6Gm4bCtRPxOHazu97HrXK4Yrr7xSR48ebU0JERSuKOQGQ4DoslKIoyXj/aJgRxc0luMyGM9GRUL3M5JvFJbodvv3yHswXGBMH/kW1q8UE0fXOrrmrNP09HRrdoOW0+VZIEptLykFqUyuxnawP3yMyqEU8tEg2OiwjaxjNEg0RKyfiUReT8XNMWnP513vepd2ErteMUgbuQ0UtJIlsDVjTG23jt5CjEelbj6CtOEB8C1GVCAU5jhQmRAThY2CZCGKAstpWr9Elcopxrr8znbR1Y3hkP/TEzA4Dchwg6FTfC8G+5HsfnxO3D6NnAXXMThk8n2ZqxDDG96PeQi+L59rvI7P2/1KhcHEpyjgJJRZN+d4cDm227ewsKAnnnhCO40tK4aU0pSkByT9fznnn0sp/ZCkj0u6SNJfSnpzznkppTSU9PuSXiTpnyS9Kef8zbNe8279OhbBGj3GplKXIIwxMweIj1PwSvfnACrFyXHg8D4eMP6jpeL93S6pnYSzmRJy+U7Q8e908aXuW6wtkBY4blob+4N1o9DRS4iCFC0l+4/HLMjRLWc/lPo8ckI0Cuw7Wn8/bx/zDEEMK2NIEL0X9nt8VnFMxfFEo7WTeDLTlddJ+jq+/5akIznn50r6vqS3jY+/TdL3c84/IunI+Lxth6cvoxAyr6Dkim/GJsc4Nc5KSO11+CXXvDSY6UazPHMBcdt4llUSELbR5TBxyAIYN5J1PeJWcAwBmK3ov1hHvlGc5XC2I8b1pZCp9Bc9PyZouSy686VnzTbFZ+G+4j09dRk3VYnlue98jB4VyV/ez+dF48XxxP87iS3VIKV0maSflfR74+9J0islfXJ8yu2SXj/+/Lrxd41/f1UqmdhtwMte9rJWGjFBS8JFPoYFnC48BYICTReWFj5aU9+3NGD57ggKgs9nZqHvwZic7VhcXGzO9ayFBYnvX6D1IuEotVOVLRz9fl/D4VCj0aglzCQxS6RhBOvvMiInQg8pemlUonE6lvE6//MZxdkQKj7O6tij9Ia5VnzuD18fvQe3j1OM0VParF2un++/tLTUZEbuJLYaStws6d9K2jf+frGk4zlnB6UPSbp0/PlSSd+SpJzzSkrp8fH5j7LAlNK1krblzZ0UAD+cGBuGunRIu+glRJdw3L5WVl60clQE0X2ny05+weda4KLLG5WO4XcRMF/f7Y59QSvJxKPoEVHYY7vIp5ATiNeTc3A5kdmPYRx/j+2n8uR9Ymp8LJNjIyqoyOOQd4kwT0GOKma7Ro/I/RhXVxrREyx5hecaZ/QYUko/J+mRnPODPFw4NW/ht40DOd+Wc74ib3FedasobRxLze2B5c/xnNJgiO5enG6T2tl7pRjeAmTL7uvpzm4WY5NQZAZjrFvOGy/ficLD9tNClngQDsx4H9eBG6RGl5/hhK+Ngs16WBj957bEMvnsLISLi4taWFhoPCV6Pm5LXMdBstQobalf4geoVHk/1t31i/+jgiLxzXGx08lN0tY8hpdL+vmU0mskjSTt17oHcTClND32Gi6T9PD4/IckXS7poZTStKQDkh476zU/XYVf/nIdO3ZMUjuE4CCnAHDQ0KsoeQIeoPFB2yVkuVEApPaUqYVMUpPowvI8EP0Wo5IlSSlpOBy2XGS20feMTLzh66I7TWFk2ZHP8P2j1eW9fS6tuc+LfU2Cl+XQK7GnQyF1u6Ji5/NnSOVZIT9/jwEKpUM9l53SxgxUVKTuK3oh7Av/xmxKEsZWcpMQRkhb8Bhyzr+Rc74s5/wcSb8k6XM5538l6fOS3jg+7S2S7hx/vmv8XePfP5d3wDeKQkGyh25vif6IhFnpYUflwBjXg5BWOYYkXFVJ95V192/+nQOP5/qefPdEXI4d68r2x7UZJPhYh7imwJYuKh3Xl14U+5FCymtYh6hY6DHxL3pAbCd/o6cQ43+pvUyfYUFJsEteBfum5JHF+5Weo5Ob3v3ud3fG5LnG06E/f13Se1JK39A6h/CR8fGPSLp4fPw9kt7/9Kr41PCyl71MUtddP91ApetIHsCIrjEtQmTG45uJmIvv30sb1Lp8EmNULhR4hyc+Hrccp7tMK8V6Sd0En9KCIw5qWlUSsHGdBPuKbeSzYF/HWDt6dlz1yZChdC09BfZFnC2JHpH7o8Sp0LMshTcU9LhQKxLXDB/X1taaxVdvfetbNQnY9WslzoS77767sXZ0X/lGIT80Cm8MPXxu3P3Hv/d6vWb3X2ljj8Eo2JI6SoPgYLLQsy5eV8HrZ2dnWy87MXge377kOttCGtHtL8XZFoSYTenr+VIeK5Zogd0+uuEkKenZcK8CCqjLipyC21YKnXgO3/HBdSJ8/mwvvQ6PA4ePJb7GbTcp7L72cW4Tv7y8rPn5eT3++ON605veVBwXZwkXzlqJM+Hqq69ulEN0xWNMSzdT6uYp+BqDXkOc/iP7z0HHuDXCg4fTqWS5pS55yHdUsE4lYYjZlMRmXlIsj8LBPiSfIm14FVH4S2FH5Gf4F0O2EuFZWsTEZ1yaUXJb4nMkF2QhpudS8jwjt0IvotfrdTxDK1Aaq+Xl5e1WCk8K571iMPgQpfZyWbrDtBq+jvE9PQ2pvc7C5UdX0b/TIhtxEPsc7tFAKxfTekukJS1hDHs84Jn+HJUelUpUODEWpwX3Z67R4A5HpbazDpHDcZ1Kqdp8lrEPY4zPfo2Kx9eyLqWQiMqAVp/lsn0xd4JksM/z3/z8vF772tdqknDehxLE0aNHWyvy4jsELHBk5f1Q2U8cDA4dYgwttfdSsJA65KC7Ht1gcgyG6+X7+TxuqOJ2RcXgNjOBi7wBY+8YL8fkLnpdnmKbm5vT/Px8K0xxctTU1FSLyac1JZFJpcQQwfVj2ENX33V0f8dnFD0Zlum6+nwSlPE506NhWOE+IB9Eg+DraVBsYOxV/eRP/qTOEWooUUJp92aDg41fvLQAABZpSURBVL/kipMfsMCVyC4qGwszhYqkVCk8YSzP6bXovkrt2YW4ECyGClY2VB7Rc/B5JUseBzrJTLfbCk9S836LSFyy/BjeMSzhveJnegLR0rPvDSpfCydXNsY6lEIpKo2oJOO+j66Ly/HLbziD4bDyp3/6pzWJuKAUw0tf+lJ98YtfbG0SGq1MtOL0BHhOtFKMIzfLsLTLzd2T6Z7SdY9xdgx1YrgTBYiCwYEfs+5imBEVC+N3XkuvhDMx9mhWVlY0MzPT5DiQD4j8AZVwfBauf1QoPk7FU0qOijNJ9BRKfAxDARoLK7nYl9wVmnV3/fjZ53I17qTiglIM0rpyOHr0aIvEs7WlsDOOpzKgWxtJJpZV2m6OqdaM1ePgNHHpcn2vmIobww2XH6fzqKyioourF6PQui9cLnkPegsLCwtaWFjQDTfcoMOHDyvnrPn5eQ0Gg842cHFWhlOd5AeicNPToudFXobls0/Z75Fnohfl50QPq8RD+Pwo5K6LQwepTcS6Ha985Ss3HaOTgAtOMUgbm7vwYdIVp0vLc2i1pbaF4QChorE3EOPpONgoeMwwjMQZOYhoQV0nHi8pA7q1RMlDipY1Ep/spxtuuEGS9N73vleSdNttt7U2Z3W5MaU7uvAMn1iv2O+xPyncVF68f+wrw7MEMTOR/RdDESttHo9KkwqaZUw6LkjFIK0rh3vuuUeSOpaEDLu/c22APQP/xkEd1yektLHK0YOXwhIFLw6s0iCKC7c86Eg2Mn5n3Cu1BcKgEFJpRK8ohhX9fl+j0aiY329ylsIT3yMROZxSKMX2un7MqiwJIUM1emsMIYfDYadPS1OfDH98LhUd7x/7NiqWlJJe9apXdfpq0nDBKgZJuuqqq/SFL3yh9ZCtEMg/cDvwSKRxUHjg04WkcqDiyTm3yMCUUuMKe8qP96egeMC7TM5+ULkwBrbSiC4vFRutdNzqPYZM9ojMyEfuQpLm5+c7r2Bj3O7rOe3o8izE9MpKQhe9nxi2+bPrx/CA942zHDnnzuY2HAPspxgSxjDIxOTq6qp+6qd+qjQUJw4XtGKQpFe84hW69957W8dKriPdaA5wP3AnLnEev1SetKFcPKjiqjoPajLhFkRmRloRUTBo0alEjKgcqESo5GgJiUiYReIzIraZMwHka+L6DV9LHoFTvvFFPOw/XxeFP3p6vr+5mpi/EGev+Myjt1Zqc5xFevWrX71pP00aLnjFIK2vqzh69Gjz3QPXc9RRkDio4vJjaSM5iSw53Wbu9ydtrE/gIHbIsba21iLvaLHJytOq+troSfg/z4+cB919Wto4e8M+WV5e1sLCQrFv6cpPTU1pYWGh6atobRlyuF8289BIFLqsmD1Zmnkg3A9+FT2VnusVvRUqLqm96tOhSSSYpfXQdTehKoYxTEhyUEULQi6CZCRje6m8zJkDtN/vt5J+SpwFhcVCxdkOxtyRJI33tJBHd9hwObEd/I0gkVfySiIY+nhtQCyP/c52sL6DwaA5N5KEMXWZsxKsa/zdiq10PZ81Qy+fw3EQ+4sK7Cd+4ic27ZtJRVUMwJVXXqm77767ZbUiGRWtpa2rs/z4Oy2lB91gMNDs7KxmZmbU6/U0Go2aZCBzGUtLS5qfn2+9NNb1iVNxtP4xXftMIG9gUODY5lJ877pxCXksnwqK4ZEVEe/LunBq2NdQ2AaDQYtsjLMNVNJRuC3MVtDRSykRwCVSlPVjSMg27kalIFXF0MHV40VXjLNj3BkX0kQr64HBXIPZ2Vnt3btXF110kQ4ePKher9fay6Df7zd7DXqQnTp1SgsLCzp58mQr7ZYbspJ3iGGDLevU1FRjFTm/XrKO5jMYotjj8PmRfV9cXCwqI6+0tIBxj0vXL3or7r8YOjHUokdFpcO2cyqztPLUU8Kl0MphBdsZPTHW09eTW/Ab2XcrqmIo4Oqrr9ZnPvMZSe3FM3TbOXC4mIbEmIVyNBrp4MGDuuiii7R3716tra3p5MmTmpubawR2MBg0mYOeSpuentZoNGrITUmtWJ4ZnPY6YrgQCbDoUcSpw5jRGWc9eB33RigRlSyHfRm9C9fJwu+QgQRoVGDRosf2+Hj0fNwmSa3QjNdbCTJs4CwQy3YoUqrXbsbub8E24dWvfnXLO6CC8IBiPBnJPQ/yfr+v2dlZHThwQFNTU5qbm9Njjz2mRx99VI899phOnTqlubk5zc3NaWFhQfPz8zp58qROnDjRvE9xZmZG+/fv18zMTOP+msCk1aVFJzzYpa5w8DM5FZKvvgdDBm9DRsv9gQ98oHVf19H9UiIAfb/4lm8rWPejv/ON5vEclxd/c3sIzsRQ+GPehmHvrzSzwfZdeeWVu95bkKrHcFr8zM/8jCTpz/7sz1ozDx4wo9GooxQ4KGdmZjQ7O6t9+/ZpZWVFJ0+ebFh57uC0tLSkhYWFlvAsLS01isWDcjgcajgcNtvFOw2Zr0CLpJ3U3QnJ55oILc268Nq47Nn1Z1ml5B56MQwjXE/P3kQLSwttkOtxPzHPgnwOp2rZnpIHZfh6hkr0mqhwmQtB7LaZh9OhKoYt4JprrtEf//Eft8g0CxVdXlsTE4yzs7ON4J04caLFDUjtRBkORsa1vsZE5ezsbONu2yL7lWYc8LSikaFnuMDwIc42RKFySEPSzd6T06CNw4cPdzIE3W9OnoovhCVf4Ou4tT3rQp6BisVlML+D5VHRUVnG90a4ziWPI76cV9J54SUQVTFsEa997Wt1xx13tGJPw7MNVg6j0ahZWSip2c+PYYmVQLS89Dh8zIN8aWmpscJe6usyYsp2tMKsLzmD6FnEqU2WY8+AORYmHj/wgQ80gn/DDTdoOBw2C6hijgBzD6R2LgD7NpJ/cTYgEoIkMknMUnnT67DS8fc4i0LwXiaCXeb55CkYF9RGLWcDH/vYxzQYDFpLilNKzXTl1NSUDhw40Lj9Kysrmp+fb63J9wCfnp5uQgi6rZw/t9DbA5iZmensBu09A+fn5zU3N1ecBpS6GZhxypBcRcyNYPy9uLjY7Gj82GOP6Z3vfGejGFynffv26dChQ61wwPeL+R6cPfFnnxsVHRWDZz0MZkbSC6ICcBuszOkdRHIzErH+bGV+1VVXPZUhtJPY8kYtlXx8knjzm9+sN73pTa1sRIYWs7OzzYyC1H1FnbRBrkVmnW43N0Elk+/v3hhlcXFRKSXNzMxo3759jefCe3N6NcKCzHUdkUtxbkXc2Xp5eVlzc3OSpPe9733q9daz/xxCsa70BGLIE4lHnkPrHQlInxfbGEMjegI87rCodK/IMxhW6LtQKTwpVMXwFGFi0hZpMBho37592r9/fyM0Dh9KhJeFzgLpqUq+N1FqW3HuQGXF4EQoW0CHGlL5rVEWUgtQyWPk77Swhq3mqVOn9J73vKc5bsKVdXAfudw4k8MEsJg7EZUE8xtYT56/mQJgopjvGc8t5U/4Pu6L1dXV5tUE5zNqKHEWcP/99+uZz3ymhsOhlpaWGnfewuFpR38n1yC1tyrzsZi5ZyHyHL8HuTkBvsDWYYUTo2IadHSXGVc7hHGdOJvgY0tLS3r44Yf1jne8o+mDw4cP68CBA9qzZ0/DfYxGo9Z9ya24H1iXaK3JF9hbiNafoQhDsKWlpVZYRO6GfcvpUpO9DjG4VmJqaup84BLqno/nEi95yUv06KOPNnF3XDxFxt2WnsIQLZ1BYWHM76w9D3S798xvcMqwpzZjGEEyj54B3wsRpxdTSlpcXNTjjz/eUgpS+30YVlSxTbTKhkMWKgD2h9vKMuKMAGctqGRJ4krtfA2XxdCIpKfb4HPPA6XwpFA9hrOIhx9+WMePH+94BBywtuCcUSAZJm3EsZz/N5jc4zwHC9doNGoIUUk6fvy4Tpw4oYWFhU3XMjCciMuffY6Vx/Lysh5//HG9+c1vLrb/1ltv1cUXX6zRaNRKh46zB5tlUsZpx1II4t/4nyRp3EaNmZtUcpwFYbo5uZ+U0vkWNlSPYSfwgz/4g5Kkv/u7v2usNGNVCwXJM++sTO/Bli5uTU9La8KNKwM5Ldjv97Vnz54mbdokpeNrTtP5f5yJsKDZpT9x4sSmSsFtWVpaarWPyoEKUtp4W5fvT48hejNUhkxUKnkh0aMgP0AeQ+ruhuXjF5qHEFEVwzbgR3/0RyVJX/va11ohBEMKg4Obg5WpxtHq2vUmT2DvwmVK0nA41MzMTJMgJbWTg0rKgWC9cs46efLkadtd4krICfDeVBbGyspKKwThwi32lxWuFQl5Bp7vvvFnLmozB2GQBznfZxy2gjorsY143vOe1yH3onvMQSy1CTEKhK05hYkcgz0If3aIMjs7qz179jRrLEi8xU1mWE+GF3a3I68QQYvOdsZcCbaP7r2k1kyO4TqxfVvpq9IUsZVHfBu4P1elsI7qMWwzXvCCF0iSvvrVr3YSdXLOrSQd5h144FIR0ALSNfdUpqQmXpbWp+mGw6EOHjyoJ554olmnYT6jxLxbCF0XJ2b90z/90xnbymlO38NTrK6zhVJaX4gldXewMidQIgbdb56i9e9sO5VFnHFheOf6XuhhQwlVMZwjPP/5z5e0riAovFYMXEItbUzZxWQjTvnZ0jGZyIJO4bKAzs/Pt6Ydo8BSkLiB6eLioo4fP37GNrpMx/LMFeDUqoWS06g+RkXCerKu9Jjch24rzyW/Qe6i8ghnRg0lzjGe//zn60UvelFnCjMKpbSx3wLd+yhwMemJiTwW6rW1NY1Go9a8fgxlpG4ij4V1fn5e119//Rnb9t73vleLi4tNOOCpWSZZUTC53oPKIIZX/hwToRgS+Br/TgXEHbCsTKtSOD2qx7BDeOELXyhpPTnKIQXffxgHO4XZCiGPE3lofbmvooXHr4sbDAZaXFxsCSLdawsl8x7m5ub0ve99b8vteuc736kPfvCDTbr2cDhslqdL3T0TpQ3viJu+RE6AHlNp5oLlRXLW933FK17xtJ7ZhYSaxzAh+PKXv9wMdi4iYvxMknBmZqZ1vYWKG7hYgezbt0/T09P6zne+o1OnTjUKx2nYMXGKu0R973vf01vf+tYn3Z5bbrmlWSY+OzvbWPa4x6KVGt+xIbW3are34PaX9magB2aPy6HE+bYk+mmg5jHsNvz4j/948/mBBx5ohQqOnR12eG2FtPHK+bj7ckzJ7vf7mpmZaTZ3kdqsvhUR+YnV1dVmr4cni+uuu04f/vCHW+szBoOBlpaWmvCBXAHDKBKsVBYkEKkY6E04jXu3vNhlUrElxZBS+qakE5JWJa3knK9IKV0k6ROSniPpm5L+Rc75+2n9id0i6TWS5iT9Ss75L89+1c9fXHHFhlJ3LgQzHePblOLUntQWensTXNrsc/hfaqcoLy8v69d+7deecjvsJTAT1AqNFp7KiO0oJS6VwHJ200tdJhlPxmP4yZzzo/j+fkmfzTn/Zkrp/ePvvy7pZyQ9d/z3Ekm/Pf5f8RTwvOc9T5L0pS99qUW8WYDpYjMvIOZLRNIyxuil7dDi+x+eLDwb4qxLcgDSxmwC+Qf/zoVWXLtAD8LIOe+K90HuJjydUOJ1kq4ef75d0t1aVwyvk/T7eV39fzGldDCldEnO+dtPp6IXOl784he3vn/pS19qhQEWbO+o5DwC/+6wJAqhf2fuAl35p4qbbrpJa2trmpub06lTpyRJJ06caN6j4VmSWBeGDUyrNonqc17zmtc85bpVnBlbVQxZ0n8ek4S/k3O+TdKzLOw552+nlJ45PvdSSd/CtQ+Nj7UUQ0rpWknXPp3KX8igovjKV77SWo9hcPoxuuY+Zo+DoQen+Z4q3vOe9+imm25q7dcgbZCSXkLOutorcF2srNy2a6655inXp+LJYauK4eU554fHwv+ZlNL/fZpzS4Fgx/SMlcttUp2VeLrw1KckPfjgg5LaVjiGCUZcK2GcDcUgqaMUpHVS8siRI+r3+812eCQPXR8rheoZ7Ay2pBhyzg+P/z+SUvqUpBdL+q5DhJTSJZIeGZ/+kKTLcfllkh4+i3WuOA1e9KIXFY9/+9vfbm0XJ60rBr/UZm1tfS9Hb4bilZLbgeuvv1433nijhsNhQ6a+4Q1v2JZ7VTw1nFExpJT2SOrlnE+MP/+0pP9V0l2S3iLpN8f/7xxfcpekf5NS+rjWScfHK7+w87jkkks6x/7iL/6iIf+il8Bly9uBG264YVvLr3iaYDxX+pP0w5K+Ov77W0n/8/j4xZI+K+kfxv8vGh9Pkj4k6R8l/bWkK7Zwj1z/Ju/vd3/3d3e8DvXvrP49cCZZbELOCcl8PCHp73e6HlvED0h69Ixn7Tx2Sz2l3VPX3VJPqVzX/z7n/IytXDwpmY9/v9VUzZ1GSumB3VDX3VJPaffUdbfUU3r6da2rKysqKjqoiqGioqKDSVEMt+10BZ4Edktdd0s9pd1T191ST+lp1nUiyMeKiorJwqR4DBUVFROEHVcMKaVrUkp/n1L6xniV5k7W5aMppUdSSn+DYxellD6TUvqH8f9D4+MppfTBcb2/llL6sXNc18tTSp9PKX09pfS3KaXrJrG+KaVRSulLKaWvjuv578bHfyildP+4np9IKQ3Gx4fj798Y//6cc1FP1HcqpfSVlNKfTHg9v5lS+uuU0l+llB4YHzt7z36rCQ/b8SdpSuuJUD8saaD1JKof3cH6XCXpxyT9DY7975LeP/78fkm/Nf78Gkn/l9YTul4q6f5zXNdLJP3Y+PM+Sf9V0o9OWn3H99s7/tyXdP/4/n8o6ZfGx/+DpP9h/Pldkv7D+PMvSfrEOe7X90j6PyX9yfj7pNbzm5J+IBw7a8/+nDVkk8b9hKQ/x/ffkPQbO1yn5wTF8PeSLhl/vkTrOReS9DuS/mXpvB2q952SXj3J9ZU0K+kvtZ4q/6ik6TgOJP25pJ8Yf54en5fOUf0u03oW7ysl/clYkCaunuN7lhTDWXv2Ox1KbLZEe5LQWl4u6UzLy885xm7sC7VujSeuvmP3/K+0vtDuM1r3Eo/nnL18k3Vp6jn+/XGtp9+fC9ws6d9K8tLUiye0ntJ6ivN/Tik9ON7CQDqLz36nMx+3tER7QjERdU8p7ZX0nyT9Ws75ibiEmqcWjp2T+uacVyW9IKV0UNKnJP2z09RlR+qZUvo5SY/knB9MKV29hbrs9PM/61shEDvtMeyGJdrfHS8r16QtL08p9bWuFP5jzvmO8eGJrW/O+bjWd/p6qaSDKSUbJtalqef49wOSHjsH1Xu5pJ9P6/ubflzr4cTNE1hPSVLGVghaV7bNVgjjOj2tZ7/TiuHLkp47Zn4HWidx7trhOkV4ebnUXV7+y2PG96U6x8vL07pr8BFJX8853zSp9U0pPWPsKSilNCPppyR9XdLnJb1xk3q6/m+U9Lk8Doy3Eznn38g5X5Zzfo7Wx+Hncs7/atLqKa1vhZBS2ufPWt8K4W90Np/9uSSfNiFRXqN1Rv0fNV7SvYN1+QOtb0G3rHUt+zadxeXlZ7mu/1zr7uDXJP3V+O81k1ZfSc+T9JVxPf9G0v8yPv7Dkr4k6RuS/kjScHx8NP7+jfHvP7wD4+BqbcxKTFw9dQ62QqiZjxUVFR3sdChRUVExgaiKoaKiooOqGCoqKjqoiqGioqKDqhgqKio6qIqhoqKig6oYKioqOqiKoaKiooP/H1Aho88EhX1bAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c301be358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6Uph4n9uqlNJrbbpDLL8FmC4A3SoGapNwMh5Us2CSWHK2yffUprOnHY0YKjh27Fg/kBwTsAlKTcPBRa3tP54fkFrS6djUz2m8zc3N3qT37yaGra0tzc7Ojsz38z4SjMs1OztbnQblIM7fZmdnR6YdDcYXUhP6tCfnybZwO7psGRMgEbgtV1dXe3eJsQVO99XIlemQEFg/komtibSuaL2xb7P8zidnjbJdU3lMKxoxBLzfgWsH6NdTGOjfcsqrtiAozW9phyC4L8J5WIgtVAzSGTb3GejMYGIKRG1QMh9rYi6WomBTu7It+NlWVgoEnycZ5u+8L2MTbndaKuyfs7ls6WqxLH6eU6b+jWMhg4g1VyTvIdmTrKcZjRiAY8eOjZjAGaCiIHLXXwagOEBSo9A8p8aSNJZfmse2MJy21zmQRHi/teBgMOiXIhOMY5RS+gCk65mzEX7G3ykAbC+a2n6GQT8Lco1wSRbZjum2UXiTyEjEtPzSFUsBJ+nlDJLBNmM5JxG/7zEpTPviJqkRg6RtQkhkJ3PjkaQRYqCQcLBwwGYkmoOJbgRnCfy7zfP19fX+Pg50rj/gwKalwQNdUzDW19dHFlOZdDY3NzU/Pz+mFWvBUH82uTAv/zdMOCYLl5l1dzl49oOJkbMNrgvLTfLiVKnbJGMP7t90PWr7VFgHpp+ug9vH7WCSYPmmGY0YtKOpU7vXBjPvp3+a03MWLObB/5LGBlRqHmt8WwmcAvXz/qutDKQ5ngE6losajlpUGo1NcIl0zcfmMmumw/Lk2RAk0AzSpSvBmArJNPOpfSfBc4NXugwkqmxnugdsL0kjAp/jxPV1/qurq5p2XPLE4D0PaTJLGhkM7mT739SEOajS56Rpm+YzCSiX5loYjFwXkdqalkRGyDmIkwyknaBhkgvLwJgKLREe7iJprAxMa9KaBN+f7gIDrsyX7Z3ExpgLyWNzc3PEOjJqU5J021iemvuXfZ3Tpb5ndXVVp06d0i/90i9p2nFJE8O99947pkE4fZeBKEljAu7BTqG2WcrjzlND5klDTpvTasyXrsqk6Hvek/P+tGL82a6KpBHS81qClZWVvp6ZF+tBsqTg+l66OP5fEya6NrQwHEshebANHEexkLN9TXpsX8ZQvM6CFhnXcNQsj0muA38nQW1sbGhlZUVnzpypDcWpwyVLDA40SjvCzgBZrlbMwZsBJA8cLshJs5Q+J++RdkxcakRuoEprhJre5RkMBv0pQXQffB81fFoMLA/dI6fP+AY1Z81sZ3nSpTKRJtmmNSGN75VIV4WmfQYvTRJJoiQB50El4N9drlzOzf9st5oFkm7dQYgtGJckMfj8REm9+U3NT2GmVnRHW1hyNSE3AvncQhKM5/W3tnYWTvFZ+84WLJrJztfnJNi89j3U+jwQxnmY+Biht4ZMAmNgzoPaL51hYJHp00935J2vqUthcl2ZL6eHa7M5JDNqZBKZtBPrYDCzFseoxQ7cZ4cOHep3hnItR8Zg2L4sG9NMS/Qg4JIjhnvuuUfSqAXAKSz/Jo0fT2akj89B6MHKBTEWHJvIBDUKA5jOn1FzR+GNXC9AAU1rJP3e1LSGrSanx/KbsFJzpu9NyyUFIa0Dlp+zFzUi8bMW/JzapKXk9GtB44yhpHuYboBdkSRaXmM7pKWRJHcQcEkRw7Fjx0Yi2xTcNPXSb+d1BqucDk9u5uBn7ILmLgWTwUtpPDjIgUZXx2WnANOMT3cm05V2BipjAAy20uynVcDy01/PdqWg8jcSIAWVLgLbnemQDFhm/rHt3W9Otza163JwLLC/vArUSKXAtq2Rc7b/tOOSIYZjx4715lwp2xFn7vzLiLS0s82XPnJtmi1NRml0EUwOHA7eHFj5nJEmsF0gDma7FJub28esUVPZiqHAOH8/5wAewelO5peBP8Yj3BY1Tew0mbfrlKRZEzRq7SSaGsnaleBbtp02LS5aJEkwdKfsJrmMjFmwP51HzSU7CLgkiCGnJHMQUBMxOCaNbj2u7cyTxrdD58YrDkjuJaCQUUvyj25JatMUhCSgXA3I+z2IGUTl4iTXy21ADZ5xgfT/Eyyb70kyZhmz3E6Dgky3wu1E0K1h39dmaVhmBodr5c8yZxworR+X0bGhg4JLghhSKzGAlMJZ0+ySRgYg0+EUH31xglH1HKz0ZRmXcNl4P/3qjHOkcDpPCj7T8X1G1+3srqy1Hwmo67oxIeVnCgWFNs1rX2d9pfGZAgpkEmH2U9ar1o9uB6dT27HqvuUsCGdIqBgMWlds67W1tZG3bh0EPOmJ4f7776+apHQRcnmzNDrdyGg2rQub3o7AeyDQPE+Bphvgey1kPlyF+Xng5hy+/V3Xg6a4n8sgmYWNpML1DJLGCIzLpB1AtbuRWtr3pnXgsie5pAVEC4l1SkJn3Rjtdz1zLUUSJmd0JllFSRjuexOtA8F86Q5nQ2hVra+v6/Tp0yNH3U07ntTE4DMVJI0MCA7QZH9qTA6IHDSGpxAnmfnU8E7P+xv82YOX25RNHrQiLPSDwaCfPiSBuWwUFJq2/r2UMrI60WBbsBzpN+dUqNuKBERXIdObpOFpbaV7l9aWZ2lqa0JMCowpZZ68v2blGUlQ7tO0dmxFcUOby7K5uam3vOUt1fSnFU9aYuBaBTM5X+bCzpPGFzDV4hG+z9ctnM6D2swmJOfymQa1VhIVQa1G4eSr6Py8f6Obw/pJo6sQM7hpgfN3toefGwwGmpub60mHdWPMJYmDQsjvScRJYJlu9onTq5WfpML2rBFmuicJknoGN7k4yuVgupNIZ5rxpCSG++67rx9E+U4Fal4LpxcMnS0GYSSx5LJja/PNzU0tLy+PrF3wYMq1/NSoNeHgYK1pb1+32U4LhH4465W/UcvzdXMumxf7mABtzfi/tbRJZNLOxJqLY9AdouXAgJ818vz8vKRxi8Ua3Z9tVbAcGS8g3BYuB1d+8nmPH+ZL6yXjSAcNT0pioACmdvGgzM7yICVp1JifA4Fpc7CbjLh1OqfZ0qxlnlxrQVDQ0rTO8knjC5+cF/1zE0mNCKkl/RtdH7YdLRLfy3SdHgkkzf8kZq5DSMJ0vtKOv+9229zc7GdYmEe6WelG0fJiPrbQ0tphmRhPYv3ZNgcJTzpisLUwKWaQU38UthTy2sA2UpNTqP0szf00a6mtkgAyzzSbmbfjGzyPkRqsRh6sAwmQg5ntQLfHgVFuwKppXUlVTUlipcWT7ptUX3RFAk53kOSYFgzTYXkZWM224X3ZRunGkHyzD7N9DgLKNPg/pZQ9KYTXK0j1c/zpC9vM9L2+z5uFqHEYbbZ/bcHzs7mAxuna/K4FwGq+uDRq6aQQpEbjALUwsLx+NRzrnct1aQJzsDMPnsVw6NCh/ixGBif9jM1ukjPjGiQACjDrP8ma8HfODlDYXT4eTJOkTQvDbeo2o1LIPmF/1NY/sC1YxxMnTujEiRN661vfqn3Gl7pdvuDpSWUxsGO4LNj/uc4/hZTahKZqLRjI/DiAU0N68w13TlKYaA1wcNPEp+AaNbOdFkH6tySV2m9OKzU2SYH1zpgC20MaP1mJZnauHPR1CmIGAKmts+94jZYfhTNnLpwfyYy7Tu3CkAypaNKSoNVRczOTZA4CDlZpzwK/A0Ia94Up6A4oWcMT9Ac3Nzf7OXvOTZMs0qz0wE/tSAHjYJN2BhZfDEMTW9p5WWttpR7r7HKnK+B0qelqQpiWA8ub/n6NMP1S29oUIq2a2dnZXqv7WDrnn66c88u2dICT2p0mPdtgEpH4N27RZt4khLT4fC+DrOmKOB/fL0m33XbbWN9NI540rsS9995b1b45ncZ1Be48BwktnBxU9E9zN1+asKmBWR4+x+kyD0juqDQJUOtZCHioq4WBaxIoQNy74LRJbkx/UpyAWi/rnTMe/uy2YDwl651Cz9kUxhF4D4mcaz6M3DRFKy3r4fq6z2jlOK2MOyQh0joggdJS2dra0vLysk6ePKmVlZXeMtmndQ2Xlitx7NixfvDVfNMUBg6m9OFrmoUBMg9iahxpfF+C8/MzHHipzfN5l3GS+ey6OQ0udmIZMgKfc/zS+NQpUYsHUHvWrtMFInKWx3VwvnThUjP7P8mF9WK/1siQyDKwPUhGtVmrrDtJLrdskyxnZnbeIO6p4GnHgSeGz372s/2ASB+P5rN93TQPrXUpNNL4wiZfo9bgSjemSR9WGiWf9EGT0Dj4csMOA2AUFAdKpdGXyNClSRPZadLPprDzj0LLslgomWe6cBQQBw1dHpOFNTs3rLHdc7FVti370WWTRmMh6TKlO0US9rVJRJBWoZFuG2M+Xh/CvppmHHhicOPnZiF3NoXLQsBBxkAYtQ41BwXL6WcZnJ6JyAeVMA2mXSMCl5kHsmQMw24GBXfS3gVqVIPmvdO3YHH/BtuWsy9+hnVnHfyZb8pyrML9kaST5SDBp4CmNZLWmQOIbmceMedym9BJ5Iw/UcDT1TCSSNze0o4F4hjE1taWFhcXNTc3J2l00d204kATw/Hjx0dmGqSdAcaVjBYOvvHJyMi6QW2by2tr+x+clkGT1eXgZi2a6d7T72PFOSgZnEvzPQXHBMSByfKklmU8wHUlSSZIZGn6+3eWyUJeW4BkoWWbuA2pwVMrpwuWAsx8qdlzGjn7mWnR9XTZbMlwHYzrXCNkkk4uCjsIKyGn36Y5C9ipdBm8TJeayYLJTrL14PP9TB48LDXz8uCoTeF50ORSWf++trbWBw85sDlb4Lys5ajBa2ZtBv1MglwqzXw40JOgMo1sJ0bhkyzpEtAKsGDMz8/3QV7OKLhd1tfXRwJ46ZrRjSIZk6wYZ+EGNPah0+I9jAm4/0kQFGq2k/Nn+/I315MzF1tb27M30z47cWAthgceeGBMAzIwRVOVcYTUiny2FlSSxlc85nQciYBmeS3Q5ZhABtek8VOa0l+lFeTnudPRJnRNIyYB+H4PWAoRyYF1cP1sNVHIUotmezmfdO1qC4Wcf8Yn2B8kL7YVXUOTT+54dBquB6/RUnC5SYL+PduR/cexQ3fObTTp3ItpwoElhpxJSF9amrzUOAdLrRPTlM58UlPU1vWzTCmAtGToJ0+aXWBeLE+tjjXrg6Z2bpBiOt5nkJqP6ZKA6Vq4XBlkdF8NBjvbxVmu1OrMt0Y2FFbW1WWUVF2nksTIPnPe/E/Q8sq+pSLh70nYtkg2Nzd1/fXXj+UxTTiQxMDFTDT5pHFtlfPL1PLSjtaaFDegadp1XW8SUzgY5KoJjn/n4KlN5zFPCqJdmzSXa5ZNjVgyP2pVm7tuCwt2+v6+l+4IXQLnZ63NoB8tKqZlkz2tA1oM7LMMnNosp9uRe0ayHfydbZ7xCP6nNZl9MEkRpPVIS8auyrTjwBHDsWPHxvz9FOSchuKA9m9cSVgzVw37ztQGTpcr7VJ4nX9NIzqfjK6f7dVuvodp5PNp/WS9OJC5A5QCk1qUyOtu09yLYAF24JRmufsjzXpbXWkB0d1x22afUYhZv3wZTxKm+yytlCREPsP+cZlr7Z/9niQy7Thn8LGUslBKebCU8mellL8qpfyH4fXnlFI+X0r5ainlQ6WUueH1+eH3h4a/P3tPC1zx77IDGFQji/s5znP7mdROTJtpUTuwTLX5e+dn4WHZ0zSvxT5cdgpGpk3zlELk8hPUyukvk0gckGMAl+1L94H5U+t6vt71zJkGBjN5jdYShYv1c3lrllf2Y61N2I9Og5vNMnDtvNgOeT1dCebl9D0d6rMkphm7sRhWJb2867pTpZRZSf+1lPJfJL1N0ru6rvtgKeXXJb1J0q8N/3+767rvLqW8QdItkv7tXhWYQi6ND/7snNRCHnA5CKml88/rBGhGp/CyLA7MWVNmwIpCyDLSLPego9nq8tF/pvVRKxetlwyEZTultszNQT4By7+x/Qy6UW439gHr5/LbarG7VWszP8uFbGmdJckwzZrvXztbwjMnnnlKa0/aedEPF87lq+280tFKwUHnxcXF/n2g04xzWgzdNk4Nv84O/zpJL5f00eH190t63fDza4ffNfz9mjLJNj1PHD9+fKIZSlMvtYWvcX4/tUkOEGo5ux3RLiOaP7W/pJEBSiHPaT2Xj9rVSA1Z02Z+XtKSPIDpAAAgAElEQVTIYqL02WuCUCNClyV9b854ZNvl9KjbwQLOmAXTZL/U+i6tkwyscvGYy8yp2BwjJH8SoctRmyWpWQzOh2sySOJpybA/a8HNacOuYgyllBlJX5L03ZJ+VdJfSzrRdZ2XcD0s6RnDz8+Q9DVJ6rpuo5TyqKSrJH0z0rxO0nXnU9jsIA5wDkw2PAdiDn7CBEBBl+rLXjmYaqZ5khWFPgWBeaVwUADSNcmyZxo1l8dpWUvz3ASWP10etwPLm8FB/s72JSFyZsTgbI3L75WJ/s7+rAl5zQJiXmeLtfi7Tf319fURi6LWDuwL78xkrCEDnywr4xnTjF0RQ9d1m5L+dSnlCkmfkPQ9tduG/2u1Hou2dF13l6S7pN3trvTr5SgwFF5PkXmGIQWJA8SawZ3ocwGp3TjY+J+RdroVJJXURDTreY/LkoPO2sjXONhyazGf433ZRmnC83fXnQuQ/AwHsuffqZ1JJHzRzmAw+qIctxuJgZp+MNg5ZNbBQv5eIzmnybRqpMH6czUpLRq7DXl2hMF9Fy7b8vKyHn30UR06dEhLS0t9unZhst+tFPKFRNOI8yph13UnSin3SXqBpCtKKYeGVsMzJX19eNvDkp4l6eFSyiFJl0t65IkWNLU+zTr/TiHmvRRgpkUhY3o8HyAZ3gOL6dBspw/PMvg3Lgvuum5szQDLkZqQAplpGxQAEly6NLyf5XMZSUKZflpNJAm2dc0lYDo1q6rWtznrwbbNMuUCKtfLZaS15rqlu5bxDVp5Hi8rKys6ceKE1tbWegJZWloa2W+RfWKFMsnNmCbsZlbiO4aWgkopi5J+RNKXJR2T9PrhbW+U9Knh57uH3zX8/d4ue/pxIAcYBxOJoOa/S6Pmsv3BjAnk2gan6edTUOnz1gb+pKg8hYJCJI1u2kqScVouvwda+sHpm2darDNjAf7jZqp0g1L7sXw5MzI3Nzfy2rsktAwu+jOtuxw6SZRJJCSIXAKfcRJp1CKTdpZJZ+yGbbq5uakTJ07o53/+57WysqKNjY1+uTvjFbX28i7LW265ZRejfv+wG4vh6ZLeX7bjDANJH+667ndLKf9N0gdLKf9R0p9Iet/w/vdJ+q1SykPathTe8EQL+fu///tjBJC+m69nJ+egS7PXwk2hTp+Sgpod7TzSjKbgp2vCetCcZayA725wfjml5rLaBbAJm3sN3BYmMRKE9yhwEHvwkhAMppnE6rUDuYOSllW2L90KX2PfZBAzrYAkcF9Pt2dS0Nr951Ol0gJjX7pNvv3tb+vNb36zJOkd73iHJOnd7373yEK5rJvhfSNLS0uaZpyTGLqu+3NJ31e5/jeSnl+5viLp2j0p3RDUIOw4msfu6NQ2FEZaE3xLsVR/o3KSgPOkUPp/+s6+t0YIvEbByzqa5OjrMh2a7+nzU2jTKqFL4zqm0NHHr81msM39fMYmOIPCNqSWz8/Ow6tLeWIV27xWdxM04xk1F9Tt7t2sht0AxqlMyK7j5uamHnvssbExmgfUcDxwgZzrtrS0pFtvvbUnlmnD1Ds7995770jAzx2f0fMUqjQv+Sp0awYOan5PAXZ6qf2Yp018m+HpD1s7U0O7Dtx9NzMz0+/b52CiINIacZqrq6t9JJ/uButYmzKk6c/B7Dz9+9mma0nKtQBhCjBdN+bLaeHsA8YDSJyT+oXnKpAQ+aKcM2fO9O1Ga4mWA90jWyK1Y9ne/va3Vwku62DlNDc3p8XFxbF0pgVTTwz0o9N9oO9O8qBAcEB6QPhFtOnHUtNSC6ZGcuemOcx8KATWQHyFGQWEZaAlYVPXZeN9/Ox08qUnHoA2k1kXC2IeNdZ1XX8IrmcsTGZug83Nzf733HlIHz2FIYmXBErfn4FL35PLoEkg2bbsL5KNiXt1dVWrq6t93ehi2R3zGLFl0XXb52V885sjs+4j8FQnCZWkZJRStLi4qKWlJd1xxx3nkID9wVTPmxw7dkySRoTdIEGkVvc1+vAMHBk1IqB24MEuNCX97NnIIb/7Hmq/jILTheG9dF1q/nIOxkwjXRmn5bYdDAYjAiKNvi6+ZrWkmc56OB0KKl0Spsd+Yh752XXLIC4tR7ZzEjvJn2TrNEwsrFu6IxsbGzp1ymv9xuFYD+uWZXObz8/Pa2FhobcOpw1TTQzpF/t/zXWgRuVgsMZx59eCjhmToKnKQW/hSb+bVkCakf69NtWWWoV50R+nhcL6pgVFjSrtBF+5tJnWjLRzZgGFgvUjauVlXIF1YHuyvgSFhmX3smcKdy3GZExSEBwruW7FfeI24DLzdJ+c9rl2Rk46zzFdDI/Dubm5qQ1CTjUxUHNzMEuj04cp3DXN5HQYo6AWSY2Vfu0kYaMVkmU0eIYkzf08Mp37AGgl8S1XXEBDU9nXrBHTzSAJcoMSrRVq4JpFRNKgdeO24HU/w+85DUh3IIUy+8Bt7s8EDz4hOfh7Tu96H4PzmJ2d7feBcPwYnn3KQChx55139usYWF+PH7q1zmNhYUGbm5u6/fbbp+58hqkmBiOj7DWtm2awNG7O+Rqj9xm1T02RG6448BhE5EDnWQQ1V4KanuXkPUQSHH/nb36+Zo7zuLp0h1KYUrh9jflT2xrUzNlWk8rLOrPs/p4Ht05KJ9Nzedz3VghcwTg3NzcSbKz1ia+7vhmElaSbb75ZV155pebn53syTMWU5ea7TOiCTAumlhiOHz8+ZrZRsxs04T0IGEeQxiPvBk1np5WC5+epTaSddQEcKLQgcrDXhCSn+Go+tzVeEgyFmKcOcxDnsmpqfOdtLe97GSewlq0JMcmT/ZArLicJvJ/JNmDbsE6+t1bPbEMSgvuMrldaRm4rPp/9k7EK4qqrrtIVV1wxtl/HZa4pM35uxHAeSDeBGpH/PUDYKRxIkwQ0fXVpdCk0zfScEfFzNj+poaSdw09Sa1tw6ItSaEhUORth85/meE17ZX5+fpIgp0vF59OCYlpu9yRlko/bwrNBSTIUdJeDAkihYv9lW7EvJ7kybnvOzpAwfF9aJxyDTPuWW27R7OysrrrqKh09erTflJYuGMvC/8ahQ4d0+PBhvfe979Xy8vLUrGuY2unKF73oRZJGtbX9cGrAHCx5erPT4GBK1AQz3+3A4GXN1CcBUStnGiQR/nk9Qp4k7eueCssBWtNk9Pvp0risFja3Vx5cWzPb2T5On1OCNSE3kdXeo1AjE7Yd3cQkKMZhKLTpTqUbmc/7j2tQauPDcYnFxUUdPXpU73nPe7S0tKTLL79cS0tLIy5pbSyw3Wn10aWZn5+fqgNcptZikMaDV9nQOZ3E2EGu1uOg5mCiVcHzIaXRMw6ZBkEt53wZ46BlwLLXjp+ftOWX7ZB1dtokS7YDj1dzYDKJkwJmrUcLiQLHOEKNINPqYvyGwkwrheVm2dMNoQWUbgX/k3Bo0tvN49H1tf7NMee6LC0taXZ2tt8TYRdgY2Oj/8xg78bGRr+OJPOw8rGyWVhYqJLSfmGqiaEWBPNnDgJuZErNUhu89CF9jWTC+3IwcqAngTAPkkKaxywr0+IZhCm8BLWoBxh9bmojI2dktra2RsxqtoF/z9iE00vzPn/3tXQdsg4sLzVpTgmn5cU+YnvkBrR0c1LwSRjsc7qcBvubz7K9mYav1/o9XVK7Wz7xahow1cSQh3hmUMiDIKP+vpdz1/49d0OSZPK7NOqLc6Clz8jBR7+Wv3FAWCh5fJithvSn80UsXM3HZ30Pr2d7OArPAZzB0iSLJOUM5FLju568zs8UiJofzuu1XY41okkFMImsXAaOgYxT0D1KcnD70nJ0X5jcaBnlEfZnI0kqtGnAVBPDK17xCt1///1jjU5ty8GbmsEgiaRPbuGkTy7tDGQLI31qqb7K0rA7kZYMn2MAzM/anOTmI5fRf76Hb3X2d288MpnwDETGPNwWnp+nQLo8ubkrrQNf5yxExn7SsqKrku5IblxyvdgvtIzyvSC0eNjO7Eu3ZRJejbTSFXO7crFcKpAkGI4ntiddX7bRNK2CnNrgo5G+ZGqvmslHBq4xvwct/XqmnRqwFsxkmiQNmqMcAMzXA4wBxSSQbAMeOJpp1/xz/kkaEd40mdM890DNoCLbje1cEzSXm38UQJaZ/cz2YPn4qjeXhWtXai5BEjnrlVZZtkVqel+rWaesT1o5jJXwM/uEpD0tr66bemJ48Ytf3H+myZiLdDiAc4BS6DigmWbONriDqfkzfX9Ot4SD0Etf06T1Z05Bcv0Fo+bUhhzoHPhpJSUhZjk5SDO24natPWe4TDx/oWYlpTamBcMAMRcZZfTe5cn6uN4sE/NyP+bK1LR4SETus7Tw2G6S+uXRnNFJa5KouWM1BTYt7sRUuxKGGywDPDR9k709cH3NyOCf7+UBJx4wFB52NkmJU1zZuRQGSSNLntOl4AAkSaR5zKPgcgDaBeC6DpfJgS0+m8JL0s1rac0wAJlmsv8yHRJQkoDTzviF86IFl64F861ZXLxONypjBczPsw5pAWbf0vKya7a1tdUftFMLgLt+6YJJ0tve9rax8u8Hpt5ikHasBg4Yfybj2/f0tfzsrcJpvhs1szIX8XAA1bRhWgMpuIyNSDuCn5aMf7MLkav3eFw502aaHHSp7XJ7dM3qSe2aWpxWTc1dokBRsNMsT7D9/T3dlVpfMIbCGQ+XNa019g1J3/XhorJ8Nl0AP8v7MhDNtmY9jUntsR84EBaDtKOls3EZ3EkhTMFJpHnPZ2oCkia1tURqzJqWsDBTY7MMrltt6tUE4ftrZJTmLu/LwKvzYMAv4xwkSH9nfkmW6fakteU2sKb0/TwdiX3NciWxOX+/+zKJnGMgLZqMZZzNwqu5qzULhaRI8mfeNTcox8c0vdPywBBDzeTLQZu/cbFRCjUHQW6iSWKwyyCpuq69JljUXBZMmpzOP99X6TKlec3Blq5ExldcHkb5cwEOyYWEZeuFL+llmej+8FrNCuB9qR3dljWri2TvdJy+TfTV1dU+HkCiY/uTDDI4zDFBYXe+2caMVWQ9OF1JkNjZHiZHtv/KyspUEcOBcCUk6WUve5mk0cCNOzmj5B4YjD7TRMyBkSaqr9MnrkX4nQ5NyiSJHEQcQFk2WwY8JSqDiBmjqAkUrQLXg9o2NSDTo3uRfjjLTHOZv1lL1mZamFa2C813I60cBmprZfIz6f+z7+hu1qyotORyZoPtxbauvYlq0nioWZ2DwfbS6Gk5PfrAWAyGBSgFumaeTfLBqXnTouA90uhcelomaV7zfmncVSEYIKTmtYAwOn42YSNSO3OgTtpDku3EAV+zsAzWLUkng7e5WcnP1NKukR3bhSRBQqv1e5rvLCfvtQZnm2Vb0AqrWSJOl8RGi7VmzXIsMyY0DThQxPCyl72sfyMVzVRpPJiU+xVyOSsJg2Z/DhB3NjuNA5Wa3gPFQkgTUqoHwDj4vbZhc3NT8/PzYyTFsnhgpeY2obCcrHf67cTZ2jQDj/6d1prbnMRIC42WVVo4adKn5uW0IPdjMA/HHLKv+ZkHAddiItlufN7l5UIrCz/vo+JxOdOq9WcGxTc3N3XDDTdoGnCgiIFw56U/mYKQv9Usg9pCHq7oy06ncNGkp+B33c6JStJ43CCFj8/6RGtaCxRQWgWMPdRcGGpcg2Tk76xLzdLJYGYSiNNh0NDPeOCXUvrdiJL6VZBZD5afb6t2OaSdJeXcX0D3L4WVgs828LVUNowBsG3y7Aun7foy0Mu8OGZZ9wzcTgsOHDHQb8sBniZosn6ahjUB8XdqHWooPk8/koGjNJu5IzKtBWp+R+mdpwdXnmrNulGT0/JwGjXCSFfInyftt0gBcRlSiH0vV01SO/MexhO4/oPEmjMMrm8SO2cYsl38Oa29mtuY5Ml60m3h2hVbi5OeT6sry8E4xzRhOhya88BLX/rSkUGZgyy1gk1rLoRKs5WDiqclU5hLKSPpUNtwoFGbU9PQZaFW5mDyuQscJJwxmBQso8DTLTJZZQCTdXM7pduTbUlBmOQSuLzO08/NzMz05w24jWkJ1JY2u025jiMtNL4Rm9ZM9p/fu+Ht0r6PZzDU+sVl4+e0XBh4ZFvlWpFsU1qD7ONpwYEjBkm6+uqrRwYChTI7lhH4DJIZGfBhehR+xg+k0RiB06EQcvaCezJ8L03LdGWoBUkqZxs8TCvfGUliybx8Lc1w55XWiAczBz5Jhu1FK6vWZuxHvkbPhM76+49Th0ybdcgl1ySxHCOTZg1qYyfH1CQ3lGV0Wdjf6XZNGw6cK2GkOZ8Dssb+fi6tBqbHtGjWUsN6UDg+kb56LbjHoGFNOydBpPnOgGZaJjUzlPsXrHkNPsM4DTVkDnb/caEZ24LI4Fv697V7Mx9q1LS8WEf2N+vE/GtrT5Kc0m3yPelupnua8YOMFTjtbFOm5TxIdvuNA0sM11xzjT772c+OCTE/p/mXnSiNHw3ve2ovq7UmS01M1N5w5bxzYPi6NSuFPTU991m43H7G261JeLlz088kQVJjsp3S4jIYkff9tY1TSb5uR9/LYCPbgkTLaD7LP2lZegYc2QfpIiVx+95UAplGankrB5c3LYFcPckFZNPmPhAHlhik0fUDOcBS4/l/Dgo+l9YHSYLXPWBzhiFJKH30nGVwOUkMHliS+kNbSBieHsvgGmdX0mrhQOaA51oDl4ttyDZj+1BwM126AJOss0zPdWB7GLnbkOm43XI/i/OokeykTXeZfs2iJAmkkqGlkxZqDVw85r9p2VkpHXBiuOaaa/TAAw+MWQT0AdMnpW9fM1HpQ7vzDA4W+430U309pzrpn/t+B878LgIuhiFJuGx+SQpNebomHKAum8uTJro0voYiBzItLhOjlyPbksoZHdfP2jBnDqhNMxLPU6XYd2n1+HnHI/wsCaXmEjLATDcwiSvdKpef44iBUAo3+5BjprYsn7En16ctid5juBOpOaQdjUL4Gt8G7TSknc6j9q0dEuK00oXhbxmUq2kmDvgM8Pk5/2f+rK+fJyEw/bSUSAapdbPMTDfJiust7O7U9p2wHgxKsu3puuQLbrMfs83owtTaN2cM0l1g2TgGaGHkvb7f5WX71CzPTIN9YoJYWVmZmoNaDrTFIEkveclLdN9990kafWW5NH4kWc2cZeekOe9BNengDn63sHEQpEDSDHVAjJFr+soecBy0STwc/Lm3wnlnLID1ZZpJCIxl5GBn8JTCXXOVJmnuSSb8YDAYmbJlO+YzkkbWFOS9FPS8nhZLkgPrw3tYF/YRiY7ka9iSInnTKuILlKcBB54YpO21DcePHx8x63MKyqhN1/E/77fQ8t2I1J5Oz53LgZeahdc5Lei0U4P6e+5ApPbzegATAhcI+dma8KdA8tpgMOjNWg9+anG+FZqkw/TZhulq8XX1bFe3fa5NcP7c7en+5calnBZlcJNBS1orJHUSarpCLkNtrOTaBqbpe3MMJmlzJmhaXjiza2IopcxI+qKkf+y67sdKKc+R9EFJV0r6Y0k/23XdWillXtIHJP2ApG9J+rdd1/3dnpe8As4WsHPM0DllRO2R2i0tD/qRHAA1hk8rpRbPyIi7B0nOPLBeqQU5Xedysm4pnPkM60FLh7Mg+TIatwE1MMvn39O3Zr2dFy0i5kGtyn6jcPk6F0qlRmd/+NrZpgUpzOlWpEWZrlFalOl6uL5JwOyXaZquPJ8Yw1skfRnfb5H0rq7rnivp25LeNLz+Jknf7rruuyW9a3jfBceLX/ziMS1QM/8piPRfayZobbFMam4O2M3NTa2uro6VrTZD4GuTXp1OZDxB2h5ofpmJ6+jYSS1ewIAsp84yUGtSWFhY0MLCgubm5kYCjbZS0hWhu1GzUKi5J7karhf/SBaphUn4k0g6CZr55hhJAqVyYD1YFta7NhuR47EW/PXqznONg4uJXZWklPJMSf+LpP80/F4kvVzSR4e3vF/S64afXzv8ruHv15Sk+guEq6++emRJbgqiNO7DsYPZuTmY6XM6Dc5gpOBKowFIm+cOMmXwM+8nGdCayACky571Su1kAXdX8OUzfuszSdADdnFxcWQth5damyDy9fAZoCXSirHG5zJ0WxVcHu7248pIrpDkOoJcH8A2JSFTwGt9yvq63f3WKLoxaR2QKGokkhvzalOt04DduhJ3SnqHpKPD71dJOtF1nbeaPSzpGcPPz5D0NUnqum6jlPLo8P5vMsFSynWSrnv8Ra8j2ZudllrFHZHTgwbvZ6cxhpAaggt0SC4Ucm799RRVaiaartTunNKsmdfUdv7OwCh9b0kj1gCnDGsuVbphuR4jrTL2h9OqBR/Z9r6HeTBPEiXdsSxnujccA0zP99cUQbooLFu2e44DthfHChXBxsaGVldXdfr06YnvzdwvnJOiSik/JukbXdd9iZcrt3a7+G3nQtfd1XXd87que96uSrpLvPzlL+8HxaQFO/zjQKa5x4HHewkOegYAOYvhPH1fzS2hdZD55AadNLVZFuft6bParsWapkzXiW6F07W2ZL3SPco6kHSSeNOcp2BT29MS8/cMHtKE5/NsIxJsui60JkjCrjefSTc1LRPfk65cXreltba2ppWVlak72m03FsOLJP14KeXVkhYkXaZtC+KKUsqhodXwTElfH97/sKRnSXq4lHJI0uWSHtnzkp8FV199te6//35JozsL05SUdgaPzdf0Lz0QOKAz4OTr0s7AmZmZ6c1flyOtGROYhZhvuXYaLrcj+CQUxjn8DGcx6AK4bJOsqFJ2ZgRcLuctqZ/hcFl4loJnV2wNmZi8m5L5pTZnW/C6+2N2dnZkB6SkXoC4bsJlZXyFcRzWv2ZlZeCaZUrSydkYkgsJw9cc8KU1QnI4ffq0rr/++l2N7YuFcxJD13W/IulXJKmU8lJJ13dd9zOllI9Ier22ZybeKOlTw0fuHn7/o+Hv93b7YCPVYgf+Tk2fgiKNnkBEsBo5m+HfOWgy+u97aQXUVso5bw9Crrar+aOcfantZSAoMEl4FgaWw/XiTIVdINfBW5rX1tZ6YfXr1ijwToOEQEHJdhoMBiO7UtMtIZHkTkq7GF03ejp39ntaD2nJ1YjE92Ywk+lzoVkqI7b32tra1JGC9MTWMdwo6YOllP8o6U8kvW94/X2SfquU8pC2LYU3PLEiPj68+MUv1gMPPFA1/6Xx3YHs6AxASqP+KZnf3y3w6UfmyjlbEbZODPq4vOb00wT271tbW31Em+9ZpGmbg5TE5bqRMLP8bCOWxxraFsTy8rLW19f7oGUp2zMnCwsLfX4MVFqA/VsKVs39kzRmJRiThJzxGi4kY/rpyvDwlRwHfIZtV3NPeY8JTNqZwarNYk0DzosYuq67T9J9w89/I+n5lXtWJF27B2V7wnjJS17SuxSpaVMorCGk+vsmUpgyQCeNv9sif5N2jgqnxWHzn8JHF4TmKi0gD3ZqaK6a5G5RDv60Elj/UrbfWkUysHDRdJ+ZmelnWBxAe/vb3z5S9/e+9706cuTImFvGvGtuBEnW7WPTm3VxmWsuHYk/Zy7Y7xwH6fIwUJoWAe/js87bJODf+XljY0OnT5/WyZMndfr0aU0jnhQrH8+Gq6++WseOHRvz/zxQ2fk1K0IaD1hSM/A5ugVciWjTm5uMknzo1zMYx8HLfLmBSBp/XwTdHNbD9Sdqpn2a1RRCD3S33dra2hgpSNKZM2c0GAy0tLTUWzPU9iau2g5KuhgECbGmnQ2SJ4OFJMZaPICKg+3F32i9UEGw/OwTEz8DjybUaTn8NTE9E6cXGBamDBylpZBkYJBEatOEaSn4eR8rtrKyojNnzmh5ebnXJpzBSJ+VswxeyOQB5vpwwDNw5nrmcl3f5+fTRLeQ5YpEw4OaLpekidH0G2+8UcvLyzpz5kwfnJzUVvwtZx44w5SzP1wYxD7hrAzdKn5PTU7BZ3pJAkncdCeMmnXh9uPftOJJbzFIOy+rOXbs2Ih2SuGmOSuN+72TBg+1l4WEUefV1dWRgOP8/PzIAiNqY2ouDjj/5tgELQwLcgp/The63LYoatvK3Q6psWumtl2LFHTi+uuv1x133KGjR49qcXFxxCUxcbncJIecrTCZ8v7su1rsgv2VayJyB2uSJOvq67RAaM2xjNzyzvHGuMzq6upUTU8mLgliMDyIaTEYabKmWS2NLtDJazTFre1WVlb6E56lHRfFAkuNNkm4TBK8h1YATeR8Lk105806psk8yZ8mEfle+/61o9MIB1v99mguSsr25qIulyXN+Cwr0/D/1NZZl7QImWY+z7astT0JPN3NJHy39/r6+tRsmKrhknElpJ39FGmyG7WzB7iWwP9TkC00DDA6IHfq1CmtrKyMDMScWuOAYjCLS6FtfRCTAl/+4/LemmuUJJlkeLbX5bHsuV4iceONN/YzFy4XCTbJgsJHbV7bo8H61Mx7/s5yM9/amODzg8Ggd+VyD8n8/PyIq0fXkGUksdX6ctpwSRGDNHr8vP08Cn1NIxhpkqcfb6ysrOixxx7T6dOne3NxdnZWhw8f1uHDh/u9Cc4nSYLBKgYs08XIaDvXCvCFNdRWDFJaE/J+P+N9B5JG8jNZOI2u6/oZkbPhrW99q06dOjUSb2D8IH3+bJfU4i5fWnBZ1yRJkqXrwraamZnR3Nxcf9z9/Py8FhcXNTs72xMAy5fkSbI0UbAPrDRqwdppwiVHDNL2TIU0eTERzWnfl1resAbwQOXLYbz6b35+XgsLC1paWtLi4uLIUmW6Av7LoGRqc/rZjIf4ewoxXQrmka4G78n4S5IKBfdcFoPxtre9bWQbd7otjCs4n9pOTAtfmvdpxdXalO1hYXd7ua/m5uZ6EmAsqLarMq217FfXkxvPpjm2YFxSMQbC05gOGEmTV8P5N2n04BEPDFoe1rIeVB5kR44cGTkzURpdPMS8SRaMa9RWTLrsNI05kP0bBzHzyQAcn003I81jP7dbYmC5abFMIgYi/ZTHp8sAABOwSURBVP+cyTEYmyBJ+pnBYOcchDxFi7GSzI8KgRZd5us2z8Vu7pv19XW9+c1v3nV77RcuWWKQdl6Sm4uVahrafxwMXsW3ubmp06dPjyw4sinplX+Li4uSdrb12ie1APpZSWMCTjfCeXKgM4jpAJ80quVJdnxvYo0EKbC5LLgWY5mbm9Ntt922qzl5lonrPNiutRmF7CPObnBtg9uFeXCal6TnepmwmSddGLdHjRDTinPZaK04trK2tqaf/dmfPWcbTQMuaWKQdsghB5/hDk9SsHnIYJL3NBw5ckSSxnY5copwYWGhtxh4PL0HI2MQnHf3NJ80PoXo/0kwLgtdBPrmqR35XKbJeviZ2nLtSaAA0hpKs7yWN4U2A3usS04RMq3a7AbbhW1KgmGbMm+OCU5TelwwtvAzP/Mzu2qjacAlTwzSNjncc889kkYFURpdK++BbA3l7bJnzpzRysqKBoPtVX65zt/BNZNEannn6/9ebux3LUqjawc86DjQfQ8HrP3qrAOtCg5yp72+vt4TGK2TFGJeP5+NQAzscuUmA5KuD60A5lkT+IxDZP0o6Pnui5mZ0dfZuxxszxrpkojYRrRgSil6/etfv+v2mQZcksHHGq655poxzWSQDBhZPnPmjE6fPq0zZ87ohhtu0GCwcxpSznPbnVhaWtL8/HzvRtjUnZ+f74OTPFFJ2omeUzh4ZLlRCxpy4KYpnC5JamA+z3iF28T/z2cFHzeVsWxpjfFzEkIGEtnO+Yyv1wKFGbScZBVQIWRZcu1CzYr78R//8V23z7SgWQzANddco/vuu2/M76Y56ACSSWFtbU033nijbrnlln72IQf/7OysnvKUp/Q7Dh34osbJVXke9JySo5ZK9ybLnAHN/N0DnYST1oukMYKSRreTb21tnVeUPYU4pxApnCQtxwnYrrTiGLQkIRC+hwJu1Noxg7QZvE1XjHA6r3zlK3fdNtOERgyBl770pbrnnnvGTEFbDCdPnuzX///yL/9y/9xll12myy+/XPPz873fbctgbm5OT3va03TFFVeMbLn2qT25IlOSFhcXe1dleXm53/HItQpbW9urKxkg5IDnTktqPE6rpeZkfRkHkNTHN0woXbd9nsDy8vKu25ek47w9q5PTuPxMa4n1M7GZXHhvEh3dD8Zt2CZJqGzHjCvQ2rH74Pxe/vKX77pNphGNGCq45ppr9Hu/93sjWsTuw/Lysk6fPq23vvWt/f233367jhw5MhJQtHvg2Qlr+42NDT322GO9K7KxsTGywIaxhFJKTy7eiGX/n1OfZ86cGZlJMNIkd10o8DkbklH5vJfCSQtqN7jlllv6ukk7sw+1OIrJzMjt0jUy4wxHxhyyDTKWkOWouRU164CkklbIQUYjhgl45StfqU9/+tNjboQ3RBm33Xabjhw50m8tzuCYl81ubW311sa3vvWtfhs2NQ39bk6lOT6xsLDQE8NgMNDp06dHNCSDa9JoPMDCwuvMi6Bg+T6a087Hbk6eQjUJXHLu9EwErofjJyxbanCD1oc/k7yo/d2+rA8Fmn+1upNkOLORrs+P/MiP7Kotph2NGM6CV7/61ZKkT3ziEyNTksa73vUuXXbZZTp8+PDIIHVgcX5+XocPH9aRI0e0trbW75vIU4xMPhYUBjvPnDnTr8+fn5/X0aNHNTMz01sbfsakRVfAaZtMUkCkUXM4BcX3UmBIlD6BiC7VJNx2221aWlrSwsJCL2h+Ua/JgNrb+aVwp0VELW+LKWMhrCfTyAVKtsDoRtZWiKZ14Pb+0R/90XO2w0FBm5XYBX7iJ35Cy8vL/fsguq7T7bffrssvv1xHjx7V3NzcyHQjN9x4H8Hp06e1vLzc+9I8Qj4DXznXv7q6qlOnTunkyZM6ceKETp06pa2trX5VJbUwBZuajX8kHv5Orc3rfLN0prHbo8lMlLmewuV1nKFGAM43r+fsAdusNrPhP+7NcNm8UpWzHemikCzdVnYVX/GKV+yqHQ4KGjHsEm984xv703y3trZ6a8AxAGt1m/1HjhzpLQnHBzgXzgHMIJtB8qCP7+PGpe0A5eWXX67Dhw9rYWFh7CAXp8tNT9LoPgISUwqZUfPhHezbbXzBQViSTwq/y+uyWBhr7gDLxSChZ0k4i0CiYxCW6bhdGOxkOUmIzFva2XvzZEJzJc4D3hE3Ozuryy67rDeLZ2dn+x14jikcOXJEl112mU6fPj227ZpgwNCzBNL2YS6cyrMQe9PP6upqvxfjqU99am9RLC8vj2wl5noKaWdhjgmj9qITug2+dzAY9Auu6Eo8+uijZ22zW2+9VUeOHNHRo0d1+PDhsU1d1NwMdDr2wk1OLD9dBwouyTYtIWnU4nBbu73yd1syJox0r3wA0JMRzWJ4HHj729+upaWlMdPbJimPYfNAzj8G+Kx5OZ1ojceVkozm+7h2xxUcpMxj2Zi2wWk3ClTOSBgMvnJ14vLy8sjsTOJd73pXb8nQ+mH6XLRUi+y7rWgBpLuTQp2uiu/LBWBpGRhMJ0nFZXwyk4LUiOFx49prrx0R2rm5ud6FWFxcVNd1/XkMGTyrTZeRQHxYKDdM+V764142ferUKa2trfV+PKP/0s77Julbp4meUXfe4+eZ/9ramh577LGzthG3MucRcPk5BZOzCnxnJRcz1Z5JgpNGX0STZ3AkCfp5/2Xgseu6J83Mw9nQXIknAM9a/OEf/qGe9rSnaXFxsQ8UcrGLVzZO8olT+P0bNST9emn0cFGnMzc3p8OHD/erKh999NF+oHMFJV2WWoQ+SYEBO0laXl7W3//935/zaLKlpaV+hsZwWkTOPHBdAdc9SDsblPhXC7jW4jl0qdIF4RRxBkYvFSuBaMSwB3jhC1+ob33rW9ra2ho5qGUwGPSrHDPoVYv+S/XFNb7GVYe5ycnP+qCRzc1NLS8va3V1tSo8uQpS2tl4xTn+DNQ53XORwq233loNLvqa4xtui1r8hW3EctJiSAvI7V6bYqy5F0mISby+76CvZDxfNGLYI1x11VX6x3/8x34BlAdZTvNJo2/Xlur7A0rZOZjFgz2X+KbpnGspHPz0NGlG2ZOscgETNSbXSpw4ceKc7dF12ysyPWvD+vMEpdqUI8uX9XKZ83i5nKbMNq3FUmiV5RoGt8E111xzzro+GVFqTH3RC1HK/hdiD/GlL22/GJyzAjSfLaQ1geA6CMcQcuET1y1k8NPrBOzbr6ys6JFHHtHJkydHtK99d5JDLnl2Wfzb8vKy/vmf/1m/+Iu/uOu2eOc736krr7xShw8fHpmClcbfdZFaXhp9iQ+F3+tDJk09uvw8DMbXkzSYhtv3SRpH+FK3y7fLN4vhAuAHfuAHJElf/OIXRwZlLfqfwkFtVTvJKGMRTN8D/NChQ/1qRwdGGVegtZCxDwteujo+pep8SEHamUFZWFjorSATGg+oMUhMjMUYLh83XbnutLbcbnSX0gWpTXdeKsHFc6HNSlxAPO95zxuJOdCU5nmQDtDl9KUDizSRpXGC4YyDhdirNGdnZ3X06NGxZcIMWjrtPOOh63YOMXUw83zh1ZF+JZtnN5x+ujKcEpVGZwnyGboHtTMw0k2hS2I4fdf9ybaC8fGiuRIXCV/4whd6jc0oOy0ELjby7kkuR87j1GhZWDi4pHd2drY/Ueof/uEfdPLkyV6wcm2DtOPz58Kfrut06tSpx31e4Z133tlPWXp1KAmolDKyajNBMnA96e7QAjHovqW7xTQlXUoWQnMlpg0/+IM/KGl7atOCnT6/tGMNcCFUBgz92bEHT09aO3PazkuWawFO5+3rPiSWWtcWw5kzZx533VNzr62tjSyRdjm4yCnJQNKIVeXn+Azr6c8588I4xiVECOeNRgwXGS984QslSQ8++GBPAAx8pc/LFZLS6OlM9KmdjgnDC6WsYf3mJC6aouDR76YQ259/Iq9rZ9lcJq+7cB6uQx71RoHm8XKc4kw3zde4rNtk6bwutenH80VzJfYZDz74YG/aSzt+vjUi3wZF7UfNbpdja2tr5I1JTm9hYUFbW1t65JFH9Nhjj40QBwnGMxre2yFJq6ur+va3v63rrrvuCdXzne9858j6C8Y+HG8hOONiCytncWgleGWliZBWk62pJ9O26MeJXbsSLfi4z3j+85+vF7zgBf332hRk7kZMMmcMIi0Ik4ZPlHKgk29hSheF6e9m6fNu8La3va0/AcsBSAZma3s5+Jkbw3LTU86y8F6vRWikcH5oFsMU4nOf+5yk0cCk//tlqBZw+tR2BaSdtRIzMzNaWlrS4cOHderUKT3yyCP9tu2u67S6uto/x2lBm+ff+MY3nrC1QNx2220aDAb9+yF9KjbjDTmFaWQcgculMx7xqle9as/K/CTC3gYfSyl/J+mkpE1JG13XPa+UcqWkD0l6tqS/k/TTXdd9u2z3zLslvVrSGUn/a9d1f3y+NbiUQQvic5/73MjZiFzJx2k6zzJY8zO+YGGx2c74AlcXMtjJac29hGMFnpKllSPtzFDkJilbMlwYZguBcYXXvOY1e1reSxXnE3x8Wdd138T3myTd03XdzaWUm4bfb5T0KknPHf79kKRfG/5veBwwSTzwwAO9L11b7ltb0ZfBN2pcRvIZ5CQ8U7GX8HJmHvKytbXVx0Fyq7PLkZYtp2q3trb0ute9bk/LealjV67E0GJ4HomhlPIVSS/tuu6fSilPl3Rf13X/YynlN4affzvvO0v6zZU4T/zRH/3R2HmEDijySHW7CU996lO1vr6ub37zm71v770P6d+bWNbX13Xttdde8Lrcdttt/a5Q/3kalq4Upz0vRrmehNjzdQydpN8fCvBvdF13l6TvtLAPyeGpw3ufIelrePbh4bURYiilXCdp75zXSww//MM/3H/+/Oc/P7LJKpcJOx5RO83ZayAyCFjbt3ChcMMNN+j222/X/Py8pJ1gquMOpWwfRHPQXvN2kLFbYnhR13VfHwr/H5RS/r+z3FtbvjZmEQzJ5S6pWQxPFD/0Qzue2oMPPjii9X1Gg5GalzMefqmNiWWv4wtnw/XXX6+bb765L6O0TRB7Gfhs2D12RQxd1319+P8bpZRPSHq+pH8ppTwdrsQ3hrc/LOlZePyZkr6+h2VuOAue//znV6//7d/+raTRcyUdZDQYAPTOzouJm2666aLm1zAZ5ySGUsphSYOu604OP79C0v8t6W5Jb5R08/D/p4aP3C3p35dSPqjtoOOjZ4svNFwcPOc5zxm79pnPfGZkio9ByUlThg2XCGhW1v4kfZekPxv+/ZWk/3N4/SpJ90j66vD/lcPrRdKvSvprSX+h7aDlufLo2t/0/f3Wb/3Wvpeh/e3p3xfPJYu9GzolC5xOSvrKfpdjl/hXkr55zrv2HwelnNLBKetBKadUL+v/0HXdd+zm4WnZRPWV3U6j7DdKKV88CGU9KOWUDk5ZD0o5pSde1rZXoqGhYQyNGBoaGsYwLcRw134X4DxwUMp6UMopHZyyHpRySk+wrFMRfGxoaJguTIvF0NDQMEXYd2IopbyylPKVUspDw12a+1mW3yylfKOU8pe4dmUp5Q9KKV8d/n/K8HoppbxnWO4/L6V8/0Uu67NKKcdKKV8upfxVKeUt01jeUspCKeXBUsqfDcv5H4bXn1NK+fywnB8qpcwNr88Pvz80/P3ZF6OcKO9MKeVPSim/O+Xl/LtSyl+UUv60lPLF4bW96/vdLni4EH+SZrS9EOq7JM1pexHV9+5jeV4i6fsl/SWu3SrppuHnmyTdMvz8akn/RdsLul4g6fMXuaxPl/T9w89HJf13Sd87beUd5ndk+HlW0ueH+X9Y0huG139d0i8MP//vkn59+PkNkj50kdv1bZL+X0m/O/w+reX8O0n/Kq7tWd9ftIpMqNwPS/oMvv+KpF/Z5zI9O4jhK5KePvz8dG2vuZCk35D072r37VO5PyXpR6e5vJKWJP2xtpfKf1PSoRwHkj4j6YeHnw8N7ysXqXzP1PYq3pdL+t2hIE1dOYd51ohhz/p+v12JSVu0pwkj28slnWt7+UXH0Iz9Pm1r46kr79A8/1Ntb7T7A21biSe6rvP2TZalL+fw90e1vfz+YuBOSe+Q5J1lV01pOaXtJc6/X0r50vAIA2kP+36/Vz7uaov2lGIqyl5KOSLpY5J+ueu6x86y8Wnfytt13aakf11KuULSJyR9z1nKsi/lLKX8mKRvdF33pVLKS3dRlv3u/z0/CoHYb4vhIGzR/pfhtnJN2/byUsqstknhP3dd9/Hh5aktb9d1JyTdp20/94pSihUTy9KXc/j75ZIeuQjFe5GkHy/bp5V9UNvuxJ1TWE5JUoejELRNtv1RCMMyPaG+329i+IKk5w4jv3PaDuLcvc9lSnh7uTS+vfznhhHfF+giby8v26bB+yR9ueu6d05reUsp3zG0FFRKWZT0I5K+LOmYJB/JlOV0+V8v6d5u6BhfSHRd9ytd1z2z67pna3sc3tt13c9MWzml7aMQSilH/VnbRyH8pfay7y9m8GlCEOXV2o6o/7WGW7r3sSy/re0j6Na1zbJv0h5uL9/jsv7P2jYH/1zSnw7/Xj1t5ZX0P0n6k2E5/1LS/zW8/l2SHpT0kKSPSJofXl8Yfn9o+Pt37cM4eKl2ZiWmrpy6CEchtJWPDQ0NY9hvV6KhoWEK0YihoaFhDI0YGhoaxtCIoaGhYQyNGBoaGsbQiKGhoWEMjRgaGhrG0IihoaFhDP8/tHRRYrM7pngAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c30239e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31547b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3154d240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31a5fc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XX4W9X0pAbCq4XXWqZpAeW00spTml+k3brMShf0pYDJOqlqBkYCcA25aNhk1PDAcPHizMTACSM5GdfWOM+UxjBYIkQvVbB7jWn6rXhu5SQmiFL2U383xK8DU6YNdKaN3qN1ChUIHTa6ygpPwIep6wzln1MSjJWqem9pFtI38H21/WLOA5/cz+V2cxoffRerR/m80mBh2bmhgOHTqUDwoKsfUncNamtmBtZA4Ofk9Bs/F11Qr0v27SYkNzGuunAFoCsdoI22YJRbWJEEK+noJl1LtPVVoFU80N1Sh0oxerPShhMRJB9V77QQVc+yzl97AkqNepeWRJEUDh3qol6IpVq4mlyFsJUbG83N6w5bnnnus25AYGm5YYPv/5zxcER7UE9SsAxSw765SkQKsTEeh4qXU2I9R21+/V+90t8qAzc0pV1gHOMKS1za0GY7UJoLjIimXsf1XDeS37xDojlbj4XWrTGm2TZiZqHZa8LVIalRIs25AynVTrU2hf0Ils7xdjxPz8fL/v4tQTNiUxME9BmV9nGhU23XwFQGHgqKMrFVYjufA/Z2ruvDQ01ElZVvJQ4bLCbMOFdha099cBrW2y+zmSVFQ91mxK1YoUbJ+2QfdwUE1FTYqU6q4kyX5RTU6vsas7rbZlNQsb4bF9kzIX+Nurs1M1thBCgXyXlpYwPT2dGHGDh01HDFynr6sXVVVUslDB15nNEgph7WM7+K1J0G0W5H1Sx0oyrLObQOhn6xDV9vK8rqdItUs/n8rfYTUR21b1KbAdKZPBtkEF0tr19tm0zXpOn+dU2kPKPLPHeg3r4Oa7g45NRQwMS2r4iT+y3UfA2q1A2W62ji6N/2v4ytqudvZSrUNnbBvitMKoJNRNGC2xAUUb3goiwWObH6Flleh0nYc1o6y2Ze34lMCpgPLZ1RRRobTPrG3k76wmVup5Ur4ghTUntcypNLpBxaYhhsOHDxdW/lkVmseqGtuBY0lDZz4riIpuQmtNCLtZiXUwdsuos8Kk9bF9Kqwa49f28Vhndfu9tpvHep2q+iosJA8r9FaLYvu1r5QAAZR8J7xGiVVNMdahzly93oaAVZNQE8aSjz4nTZGxsbHkbzRo2BTEsH///nwwqdCmzAieUyFrtVqF0KNNluH1Vm3XelOCaIXCCpklFCWohYWFkrZg69HB3i3ZJ6Xmaz+RVNR8UYEhVIhtlMG2zc7I1uzSRCnWDaBE1kpG+tvZfrH+i5TGwL5RQtR6bKSD7dHfv5u2MYjYFMSgg14Z32oQHECa5QigENrjfytYQDGkp4Jhz3Wz01WDsILCcjZdmudTZoBeqzOeJUQdzHovrdsuGrMaAlBcy2BTlnnOmkcpYtO2apRENQXtQ0uk+owp8k6Zi/oMqjmqyaLjRp+XdUxOTuKd73wnNgI2/Atn7PbuVtg5gDUUGGNEo9HIVdF6vZ4PQuuLsIMytSsz61Gh1vMAktEJoOiYU1U4NeuqIOg1muhjnWt8JtZRq9VKtrr12CshpLQf1sXzNlTLdjB/QM8DZYFTkrYajgqxNdFsvfZYy/EZuemLkrn6jvjfEsv8/Dx+53d+B32Onjdq2dCLqHSlZDfHHVC2abkLMs83m81Cco9ep4OHYUgb7lNhsvsq6HcptdWWU7VeNR2r4rKc3s/a4UDR2ba0tIRms5mcTW2/qR8mZRJpH1mNhvVqv/EcyZvlVZMj1DlrzS1LXCQl68dQ80S3bLP9ze95P/2dtEyj0eh1WA4ENqwpsX///qQDTFV1FRQ7A+tWajqr6uDSFYdMj9bZWuP+KoinEhYbwtNrT2fv6iyqAq8zqpa3Pg+rgquJw+XmVgDZbkskGglgX9vfQZ9NNQn9naymkCJN1ZS0D/QZUu3UscFj1Y6UFKy2ZYnKiWEAwLCkqvKqigOd2UkHY0pl1T0HVYDsikfeh04+ZsfZAQygdL8YY76bM7/XnaGVTLgXhL7I1i7+0faoKsyyAPJ0YHVEUkuyxKPnVCCUyFSQ9Zmt+q3kwr9UtMU6UO26ByukOntbv4WSQbeJoFs51sVJxKaF87lmZ2fTg3FAsSGJgbBebDsYOCBtqrEORhUOHVQxttcTUIBVmLWMDtCUD0GddDorsoxtW8r2tULDa7g8W1VkDV2SHGyfqWNT353BdR2sR80BJVQVXpYheemGNSzHOro5Cnk/q+rzt1JytyaBvZf2tZpUOjZsVMnWkZpANho2nI+BL5dV9ZKw9nXK2QUUZ3b9rPXwvMbo7YxpB52SDGFtYjVftI06S1rtQNutzlS9D1B0cFrVnNfrS2qsE9D+qWNTn0X7iOfV+crv1Ueis7D+RjbsqLa9vadtq5oCvF59Crbf7PV6PxKONbuAttk5MjKCjYQNpTHs37+/YBNaYgDKS551HUBqlyJ+Tq3VV6FVMuI7GSi4+qIYoDMrqyljV2XaGRRA0jShes5r7PZlFF6q8GqCEDbBy4ZbWcaSgAovfRCq2Wg51q3H+gwKvSalNagJltLMVOVnXeqwVSKwpK39qG3RSJL2P8tuhH0eFRtKY0g5hShc+sZkHfxAR+hTMyDr1dljaWkJrVYrt/91VlKCocDYyIH6ClT15TXVahW1Wq2UU2CjHjYqwLbybdfqfFOVW/tJtRCb1q39arUqJVPdsEbbp223gmu/t9doH7I/2A59/lRSkZp1ek+rzbAeq1Wo9qeagl63uLiI+fn5vJ+r1Sruu+++5LgcRGwYYuCbpzlbWGHmD0/h4iDhTGdnMA4I1RLU/uW1KbPAOha1nAq03s+GFbU+Huvy5pSNS1Kwy8XtqkklC9ahtr9qNJZ8UgKkmpElLl2ezOvU36J9TagPRMlZr7f9bTU4LWfva80v/mmoVEnDEubCwgImJyfx7LPP4vjx45ienkar1cK2bds2xJJrYAOZEjowhoeHAXQ0BqrP3PNfzQdr3wId00C3ged5DjoKG6MQ1qxQZxm1DKv6WrtbBYqD0zrrrDMMKGbiqSkFdMwPK9Rar5KTpm6zLP9T+2K77fXWB6Kf1Rejfg7WS3LW50+p8Woi6vVKtNZxqROB3UfB+ifU7LDPxO+eeeYZ3HTTTfk1d999N8bHx7Fnz56k43MQsSE0hkcffbQgmHYWoW1t1xekHEocvPruRi2nM62deQglAQ4mCiPrVlPBDmorfKp62+3igGJOgs6UnPH5bEzcsiaAXm81F/UdWA1BtQg9n/L06zOmZm/77OoHYPuVWFManZbV396aXd3K2fvYfgPaURolBQB473vfm08+nJQGHQNPDHzZrA4qFWQK49BQZ/OPoaF2mrN1limp2JnIOrCAshpqs/ZUG1G/hg5oOwjVPtb26fMRFB5qJIQ6TJXsKOT1er1ANqyrVqvluQz2Ga2NrXa5VeWtRmEdk9pGfbaU4Nv7pQRY/RS2zpSPQ5HSgKzppxpWt0SmVquFVquFarWKe+65J1lmkDDwpgR9Csy752IbEgB/ZH15rA5Aa6urfc7BaF+sSuhGqrp3Y4ztDTt0wKXMDU024kCnMKdChapis8zi4mIu0EAnA5PPRAHjwFayoJmlKrP6MlQY1eyhGUZNyK42Va2Bfaekwvvb/AvWq84+JQ0+F/ta175Yk4/t1363ORuqlaR8GdZB3Ww2MTU1lRyH/A0nJiZK5DOIGGiN4cCBAwWHFwejsj9JQ21Lq1ZyRgPSm3dYlZzQ2VgdnSQoO6tZk8U6M5WsdGDqPXQW1fM6iO1MqpqB9ouaDepb4PVKfEBHE7BahfarQn0XNtyX0nCsFpFquwqqNe+0D6hlaB1qpmgUhmOEPqNUf2q5FNSBvWXLFnzgAx9IlhsUDLTGoLMoB3Gr1cLIyAhqtVohtwAobx6ig9QKsDraVK20+wDaCABQTq/lOZZLRTpUaFQoVXjZPtU21CRQx5uq//o9CUszEZWwrN9CNS91yOn/lLDoTM3P2g96vZKYElHqOm2bJVa91joZ1UFLslLCYH02TV5Nxfn5+fyau+66q2D6bdmyJdfAhoeHcd555+G+++4b2GXYA0sM+/btKw18qv/NZjOPe+s+AkTKJtXvujnzuoURFeqb4IC3SUdq12okAiguQtL/VpuwM6Wq7tYpZx1qGqVhGbt4iP+1/ZpgpX3LZ7LOPX0eJT39LqXlaJut6aTkZ++rpow+s/qPTnV//T313jG2l1Vz5eltt92GEALq9TrGxsYwPDyMGNurcPnbNpvNrtrFIGBgiUHVQh2ctVoNrVYrH/w6WG15CgC1C4brrAqpNrZea21+tZXtLJYiG57rJlCpFZ060ymJaIiN91D1WOvguWq1mg923of3pSBrGFEFkPdVrUeJTp+R7dE289hqaPYZFFqf/n7aNnsP7V9tg9WOlIi0ffyvjmWWqdfrGB0dRbVaxfT0dMHHNTU1hXe/+90YVAwkMfCdEFad5g69miWn5MAIhfocqGUAKMyg1rbm4ODg1WXWOvjtTGN9BARJQVV7qw2k1PGUaq1quSUa1qWLvYDy4ixrn9tzlhTUJ6ORIJ7TfkzNzKrpWUerkoQlFp7n76fkZN9TwfqpRQ0NDeXOVv4mWlYJQ8vr+BgbG0OM7QjO8PBwvolPvV5Ho9FAs9lEo9HArbfeWh64A4SBI4ZDhw6VPM120Fq7lee4GhIo2vz8Xh1wmkINdF4yopqKesdZB5FSgfW+VnVOqdK1Wi0Z69fwnQoRy6QSguwza7usz8P6JVKbp1DYeB+9JqWep2Z1++zWDLDhYvX7kJg0AsVyHBe8nhGrFIHr85MstX9arVauVY2MjKDRaORksLi4iGazmUdems0mms0m3vve9/Ywkvsbp41KhBBGQgj/FEL4egjh2yGEO7PzLwwhfDmE8P0QwgMhhHp2fjj7/FT2/aUr2WBrv+tA4bEOWBsD15kNKK7YswKsQtjN868DKSXkLKuztQqverqpOTD/nue0DjU/CN7P5mLo9faZrRljyZXt1Xo0F0LvYX01/D1UW7Dmkqr2ltD1t9Z2WGfx8vJy4V0YVutRnwSv0/7X8UToZMJr9PcHOuZVq9XC9PQ0pqencx/ERiAFoLdwZRPAFTHG/wzgxQCuCyFcDuBeAH8WY3wRgBMA3paVfxuAEzHGnwbwZ1m5lW20qOQ6s6hTj+nPKYG1s5zOYhxsnClIDFw0pWstdIBRaEMIBZLSdrKcChUHnv6ltATCDtyU4Gj41UYWWD+fhTOuCne1WsXw8HDef+xL1mEFUcN9bLM+hxKjmlT04mubeH+Ngmj/8TfiPWu1WiG9W/uFRMZ9LJWkLOHpe0B4j2azmfuqms0m5ubm8nExMzOD6elp3HzzzTh58iQmJyc3DCkAOLPNYEMIYwD+HsDvAvgcgAtjjIshhJcDuCPGeG0I4UB2/I8hhCqApwGcF09xo9DjZrDcrk0HZ+pVZgsLC1hcXCwtjsrulfsVrPDaDVlVvbUeerVr+R2dl/Rx8BxQXMrLdmi7CHVo8nvVZlQ7sPY3UEzQUpOLwkNzSlVulmf7NDPSmgBsY71ez4+t45D1cJMXVc11bYhqKCqYtn+0vzVnhb+HJTa2S49Ve7DaWMqUi7G9K9P8/DyWlpbyHZp4fNddd2EA0fNmsD35GEIIFQBPAvhpAB8B8AMAJ2OMjMccAXBRdnwRgB8DQEYakwB2AThm6rwRwI293J/QcKEOVqtiEmqTqurKa9RcYL26LkBj2pzBupkhSh5WmPQ+av4A5Re7cnbTlY1ah9UolPjs4FYiSqn7SnwACjOvJV6r9hNKlvzemjHaJ1Yodb0I2233r9BnsCakEqBmkqpTWLWZFCHr78bvFhYWMDMzkzsT6UtYXl4eVFI4I/REDDHGJQAvDiFsB/AZAD+TKpb9T+WDljSCGONeAHuB3jSGffv2lYQiu5b15eeGhoYwNjZWmF30Ja46YNWHoMKvs5A6LNWxR1+AEoS2SYVAQ3lWe7FOMWuScJZX04WrRK0pJP1b6iPrJ1EPPQnJaiYai1cVXwVJn1tnddXsCGpVbI+SqtaRIhE1l/i7aYp3arLQY9s/SjRqHs7MzODEiROYnp7Ov7/zzjuxmXBGUYkY48kQwuMALgewPYRQzbSGiwEczYodAXAJgCOZKbENwPGVaCyFVePsVgBUKFUQdLZXckH8AAAgAElEQVTnjAQUF8zYbDjWr+q9Co9qE7y/2t86S9IEUl9CKuVYw6gqEFaDsOm5uiaD7U45Yim4LKOrSFWT0ZTjbhoAoUJFQrOaBa+z5lvKyUrYY0sY+nyp6JQdF/rc+qck02g0cPLkyULG4kbZY+FM0EtU4rxMU0AIYRTAVQC+A+ALAF6fFXsLgIey44ezz8i+f+xU/oVewUGl8XMbbuPgURWaUIccofax1mlVX7v81wozBdfO3DZ3gW3gALcLePiMqVmTjsJWq5WTgtrOSgCqgtuZlM9tfQt8plRf6HNaQVpe7mxlx+vUbNPnJ2w/WUK3pKvf6zOxT1WTU/LWTWtSmhV/g0ajgfn5eUxOTuL48eOlNObNSAy9aAx7AHws8zMMAXgwxvjZEMK/AvhUCOF/AvhnAB/Nyn8UwP8OITyFtqbwpnNtJHMX6NhS4VXTACimNOuMYm3vlAo7MjJSWJSl8Xqg4w+wNjWhA5pts05AoGgDq+NUYdtPYbT3tRoStSme56pLTQhiW/V69SfY9R/q4LM+DRVaboGvfWJXkLIN+vupFsM28ZlTPhS2VR3R6hS2/hbVHvlc2qfz8/OYmZnB3Nwcbr/99m7DcFPhtMQQY/wGgF9InP93AC9NnG8AeMOKtK5TZy6QTF/W7xQpLUIHjFVZ9XugM4DV3ACKsxRnbJ39VVW1S7BVlbcmjpoWqu53s5k5M1vTQgnDOtJU+7ERHPVzWKem1RBsiJe/iYJOW5open99Dvt7sY9tv+l5u9gNKPpJ1FzU8aEkavuMnxuNhpOCoO8zHw8cOJAUavsDq3ddZ0w7kFVdtiq9ZjYCRUeZDk4VIr1eicM6G1VwrTddSUBnVQ1JqopNnG7Aq4NUtRIN41rhJ1L+BLtoSslFVXn6UrSPLdHpfVXLsoKsv60+e8rHRGgd7Be77J5krBv6Ojroe2JQG1IdYkTK9tRZQ2dvdVpam1hfrKImCwVMBze3ZrN5DLpbFAlDyUJDlNahqQShURSgvEZCCZDt0giG7YOUzc52MO1a055V6Nk/mgRkSUO1s5SgWx8By/IZVGthvZZA7WSg11LwtV08r/1Of0Kz2cwTlZjzshn9CKdCXxMDfQtAZyGMxtVP5Rizg1EHnpbhd0AxrKhORWt+sKzWxaQgltN72NlVzQtrE2v9qpFYFVuFbmlpKQ832j4BiiTI//zOaglqZthZ2ponek6dvmqy6LUkGPss+tuxX9Rs0SgE61fNwzpx9TxJg5rT/Pw85ufnc2Jw8yGNviYGzYMHijFuG57TgaxxciUJFRy9zmoPPNb7WYeYzvh0ghH6TodUyE9nfULvp45EGzZMRSG07fY+QCfnwbZJ+4FIkRfr17Ck/qkz15KQPp/tXz22yWn291Xob6KkofcgMZMU+H9ubi7XGFxL6I6+JgYAhfRiHdTWu65edw1xqYqs9ioHsc5KNA1YjmqoCqLNJlSzQQes+hiWlpYwPDyc297aJvVPqFCqP0SFxvbD0NBQoY8YGbAzqvpGVHtSVV1TpVVYrQ9EVXPeQ00mbbeSmjUX1C+kRKX+FLZf26Uv31WNRx25rVYr1zC5xmFhYQGNRsMJoQf0NTGkHG6q9msZO+Oo6q6zq6rXahOr5qDCY2csFUiC901pB6kIg5bR81Z9TjnFlBS1X1TQrQBaAbZakSU97Ue79kLbb7W0VH/ZcG3K72DNClvOPn83x6M6E2lCcPEbTQcnhd7Qt8Rw6NCh0ias6l1PCVlKiFX1tluYs7zdo8HOUvys97UDV+9tV/NRE7G+D9U4ugkFn8F+p20hrNZh60kJm3XmWk1MiUTvw/+qhQDlvS9PZTrpsWpt3SIE6nvQ5CUA+SpN1Rj4LpGlpfZSdieF3tG3xGBnWKsGayKPDnYNN3IW5Oyh+x7on6rM1gGmM6KdqVRFtja0TbxKEYqddVXYbfhR+0Fn8VRsPxXu0/yClN9A/TH8TiMGrJ9qvO4ZoZvY2NwF1dpYrxKikrMmjhEkrkqlgnq9XjB3AORCT7OBn5vNZmFtjYcjzwx9u338NddcU1DFCVVXraMpNRCBsrdayYNhSk21tmRjVWQ1U6xqy2utaaNleb0KOQmKwmtDlurnsA7HVHjRhiutpqCzvWpV2l7bfq0rBdal6zh4XUowVYvRvSHYxwRfkmOTqdhH2p7l5eWcGJg+znUpjt7Rt8QAFF/HxsHPmcX6CACUZiEAuUeacXj1oOsMaMlEV+7ZN2UD5RWU1qehCTRWSLv5P6xPQQXMkqAKDqFmhwq2koLeU0mJz6n1KtmwbQsLC/nemtZfodepU1Y1Cx5bMlewv4eG2m8M05WfjC5Q6FXbCiEUvueGKnxD1N133919sDkK6HsatWq7CqeShp2tOVh0g1egaEOrvc8BrORDIVPfhNavbdTBmVq+zfM681tzRpdXa7usZqIzvBKjtpFI3Us1CCVTa9ro81m/hmpRakql3m5NAaaPyN6fbVcfAutWUmakQYnKEjNNDpKXkm0q9OlIo6+JQYVLB6d+z/96XmfdlGZhHZpqRtgFTdZ3oOdTgqjldWZXe92uxNS2WdJRMrRmUrcUZfVPsA6maWsYUeu3/cN7UX3XiI2Si/UT6HNZM5DtIKzWkyImrU/Tl5VcqH3YUCjbu9n2UlgJnNHWbqvWiFNs1HLw4MHCDKmDVd8pqRqDOgCBosMrpTFYzUMHHOvpFsLUUJ916mmOgWokLMPBbs9b/4MlHtrMqehMyjfAc5x91XFoHapqBukMzrKWnCjs1LQUKtR2nLHt3E+S91Zi0PvQRKB5Reci+5cveOHLZWdnZ50QyljZrd3WE3aG0VlI7W+rSVDo1FxQe97OxFYz0M9ahu1QIlJy4f0pKEo09rNVxVPqO+tSrYnfa3RCr+N/S5Sauch2dssxsA5W++x6XxK0RoqA4nJtguZEt30WSKDqX2LokdcvLy+j0WhgYWEhJxX6FObn5z3NeQXQ9xoD0N4ENitXUBF1b0BdLs0MQx1gKXNEj1Ub4YC14T1CNRSgo9Jz8JIAtG51jvFe6oCzvgJV0a1WpOE+3k/vxTp4re07PddtLYjWoc/fTStIXaOkoH2qWgLrUD+ANScYYVCt7eTJk7kGQY1hI+3SvErYOBoDUFwQRFvZ7huo4UFVm1NhTP2swqWzszrBuoU+1THI6IYOaJ1BVbshednZMkUY/M7O5CkbnrCmBM+xPSkfgvYJPys5qYbT7d6aY5CKkHA/DRINzQNu008iHx4eLoQ9aTawDrZhfn4e73nPe04zehxng4EghmuuuQaHDh0CULTpdRZk0g2hQqTn9Ng60Kx3XXMJtC4KhnrUrcOP5ayzTh2Ap3O+8Xq7SEsdqtbM0Rnbkpiu0rT+lRQpddsOT7UWPqf159g+17awr1qtVv6iFt6TzlnWx5WQ/G31t9Hf27Gy6Os8BoVd0KNhMV2so/a0TRDi/27HGl5UO9pGKtT21pi9nXW7mSm8H52AqTURnF3VTrcCR+GnI1Lbo+1U3wyFWJdXd1P7U1qV3l+dqt36jtA8DeaWzM/PY3Z2FnNzc5iZmcHMzAwmJycxNTVV2DeBezJOT0/j5MmTuPnmmzE1NeUpzquIgfAxAB0/Awe5bgfPGST1vsnl5WXUajXU6/VCimw377f6LHR2sk5KvQ/Q2S8iex4AKM1o2nYKh8663J9RzQiNTihJWQJSQVUNgILPZ2ddVgtRs0izFjUEqStG9Zm0T3id9ZPwOdmO+fl5HDt2DK1Wq0CSAPKkJgCYnZ11Z+LKYWP5GADguuuuw+HDh3N1kw5GagbWQWbtfKD8nkKrhlOwdBZVn4Cd8UkoFEIKibbHJuxoWRU0rZcCrFqGagtAWTW3WoI+I+tlO9TXoHWpaWX9Ddp/lgjsUnQlUH0m+nwajUauIbDt7jjsLwwMMQDF1ZIqmEA660/Vauvht5uzUHA030BV4pTwENYJx/taD75NLlJnpc626gC1eySkHH722fV5rBArIeg16jtg5EA1EGse6XPoeds/qnXQr9BoNNBoNLC0tOTmQJ9iYEwJYv/+/fngtsKts73uFWlDfbwG6IT6dFk1hSprW4k8usX+NY1aNQjWw/tTKJR4uvkpgHa4jmWUpNQHoW1Re54EoyaGtol1su94nUYPUqaD9UdoKNGaICEEtFotzMzM4Omnn87DjE4Ka46NZ0oQuump2t72bcVqM+uMZVVz62TTSIcVON5LBZDXWaG14TrCmgy6cEnzJoaHh/NyFFigqLazLSQ1XfJsN12xPhFCSU7r1WdTDceaY/Z69dHQbJmamsLJkycxPT2Nd7/73af/kR3rjoEjBp2xrIptZ147I6spokLEMirE1mSxHnre1wqQlrUhPT1m/eov0fPM12AykC4gstqIJSQtkyIlXsPyKtz6nN00GCUI+9yE/jYnT57EsWPHPEV5gDAw4UriiiuuKIT2rGe+W/hPB7F15KmdbcN21nFp7XxLQnQ+srzVHHQRkNrrnOXVgWkz/lIhU4Y1GU2w5Wq1WiH5KuXTSIUq2Y+qIVgi4DklE11qrtqOk8JgYeCIAWgnPHF5LYVCV9zpAAaKSTdKIEoiKhjWyck6UvVan4Td44Dl+B2/57spKEwarmNZJvHYNRHUIjSqYR2FmtptfQvadm2jvg8z5UfR49RzAp38CyVUuxTb0f8YOFOCUAcf0AlLqo2dCkfqjKjqfCrEBpTfTWmdiQrWqY5LDd+RGDRrk0uJOdunzBeCz2S1GGsC6f2BonOzWzlqHHqd1Y70ObVPNDSr1wMobOziGBwMXFRC8eijjxYiD3ag60ypM7tGIYCig07zI1Kzvtr2BAVIHYoWqplY1TultaSIjWaBJUT1l3TLT1BthURkTSLrX7DhVO0noOMsHR4eLpgv+oyNRgNHjx7FzMyMb8i6/ti4UQkLFVgABcFUUki9pNbG5K1qzjIUJLubdEqANH9ByUVzI1L+CK1X/6sGlPrO+gv0+dgH1jnK79WJqXsw2P61moOaNCGE/EXD9jmGhtpbs+3cuRNjY2NotVr4wAc+gEajgVar5X6HPsZAE8NVV12Vb+SiYUhr/y4vLxc2E7XCrJ81M1FVdQ2H0gTgsZoMQHnzWDVLlKjUX8FyqXUZKRNG7fyUCWS1GN2+3poU1v+i/adt1/0y9RpdL8HwK8tXKhVMTExgbGwsJx++dt7RvxhoYgA6gtJqtfLZWpN+rK2eMiu6xfxZh2YXtlqtfH2GbgnHsjpD87OWoeApMViVXjUNTdbSfAzWbYXaaiVKcEp6vJeSoJoup+qzFClpPRZcMKWRorGxMXzwgx/E9PS0r4XoQwy0j4E4cOBAQYitoKdyEnQGtDNr1qbCq+RIAjQpVPCssFh7m/WybnXI6WYzjDQA7YVEdiNbu8t1ypTQ59Pnmp2dTa750DamtB/dBcv6WywRWR8Pvzt+/DimpqYwPz9f8MOMjIxgYWEBs7OzuO22285lCDh6Q88+hg1BDECbHICOt52qv6r8QHHxE79PLY5SYVOB1/0NVUDUsagqOc9PTU3luQmzs7PJVYVjY2MYGxvD+Pg4tmzZkhMD7zc0NFR6qzXba/da0GdeXm6vZrTnVAPgn/pCqAFoqjnPq7akLx8m6ekW75OTk75Iqj+w8s7HEEIFwFcB/L8Y46+EEF4I4FMAdgL4GoD/FmNshRCGAXwcwH8B8DyAX48x/vAMH+CMQVXbJuQAnTCfDnr9nterSszv9RyPKQi6YQrvozMn35vIl6ly34HT7Tp0zz33oFKp5OSgPgV954KaHXwGNWNs3xA2UsM2WxOK1+pxyqlJwuOqSd1zwZObBhM9awwhhJsBXAZga0YMDwL42xjjp0IIfwng6zHGvwgh/B6An48x/vcQwpsA/NcY46+fpu4VUVu4yxPfzwCUt3njOaC4DFsHPVBcPWhtb9ZhNQsln8XFRUxOTuaEMDk5eUbrBN7//vdj9+7d2Lp1a0GoR0ZGClpJKk3a/oXQ2RnarndQM0E1HTWpNFqRWh164sQJzMzM5Jux3nXXXT0/p2NNsbKmRAjhYgAfA/A+ADcDuAHAcwAujDEuhhBeDuCOGOO1IYQD2fE/hhCqAJ4GcF48xY1WihiANjmkwoTmfgA6qcg2sYgEona3mhO6roKEQecngPwNSM8//zympqbOybn2kY98BHv27Mm1kZGRkbztNiyr5KTvrlCfhDUD9Hl4Tp2aqkGo2cCszPn5eTz77LO49dZbz/oZHWuGFTcl7gfwTgAT2eddAE7GGJnregTARdnxRQB+DAAZaUxm5Y9phSGEGwHc2OP9e4ZmFgLI33isEYiU1x0oEoE6FYmU489ev7CwgMnJSUxOTuIP/uAPzvl5JicnsXv37rxNSlrqP1FTw5pIqUxI1qGmB/uEDkp9zhjbOzGr5kStiP4Lx8bBaddKhBB+BcCzMcYn9XSiaOzhu86JGPfGGC/rlcF6xXXXXVcQXq5Q1HOc8SgINiNRX0lHwdKQoaYlsz6g7VOYmprC888/j5tuumlFnke3SFcwQ1Nn8JSmQKi5wGfQ7Eo+C1DMXNQQsK7R0D0p3XTYeOhlEdUrAPxqCOGHaDsbr0Bbg9iemQoAcDGAo9nxEQCXAED2/TYAx1ewzafFVVddVdAaOJhVLV5aWsq3LbeLklJrBjTxiIKhoVFuQvL000/jj/7oj1bsWaw/JPWSXN1leXl5OXd6AsX9EXT1Jp9PNSP90/p4P4YYx8fHUa/XMT4+jgsvvBD33XefpzpvMJyWGGKMt8YYL44xXgrgTQAeizH+JoAvAHh9VuwtAB7Kjh/OPiP7/rFT+RdWCxp5oOprX+tmy6lGoCp2yqGny4tbrVZuPtxyyy0r+hx33HFHcidmK7gaGlV/gzol9Xp9FqC83b6ShvYJj0mkw8PD2LJlC0ZGRjwXYQPhXJZdvwvAzSGEp9D2IXw0O/9RALuy8zcDWFlJ6RFXXnklgPR7DQAU/A0qKGomqM2d8kksLS3l70aYmZlZld2JOBNrBCK1T4LNgkyZCvosSnCa06BOVVu39iGXjddqNWzZsgWjo6OlPS4dg4szSomOMT4O4PHs+N8BvDRRpgHgDSvQtnPGVVddhUceeSQ3FexLcO3W6BQUFQ5mSALF9GYAed7/9PT0qjnguM6A29OzTboNnH3fgxIa0NlGXzUmK/CsFyi/rEZJk+fpc6hUKti6dWt+H8fGwEBu1HImuOGGG3LbnIk3mnxjZ11CZ0+rdrM8612t9yb+6Z/+KXbu3FlydNp1IBplSTkTu5GHPoteb++lay00GsNrarUaRkdHsWXLlhXvA8f6YOAXUfUCxvZtYo4V9JSwAMXl00DHLNE3LK807r//fuzYsQMjIyMFAef97czP87oXhKYys8262MvWqZmh6qew/aTkwaXVS0tL+Qa2jsHHhlkr0QsOHjxYymDUWVLfj2h9EBQaOh0XFxdx9OhRHD9+fMW0hXvvvRdbt27F6OhobrOnfARA8R0b+nKakZGRko9EcxGUROx/JSA91ms04xLo7NrdbDYxNTWF7373u74TdP9i82zUciagv4CCY8N0QPdt1tXr32q1MDs7i5MnT54zKdxxxx0YGxvDli1bMDExgZGRkdx+t1pNSnj1ezuT81j/q1CnzJBu5hWJx7aH5ZjXMDo6ek794egPbCqNAUD+mjt1IFpB0tAlgFxDoLYwPz+PqakpvP3tbz/rdtxzzz0YHx/PyUA3tgWQbxRrfSG6EYou5WYIkUlHNgrTjfgo1OpL0fCm7hxl67Q+iWaziSNHjuDo0aO+mrI/4RpDN1x55ZU4fPhwITVa11PobEmBZMLQ7Owsnn/+eczPz5+1unz33XfjBS94ASYmJnJh1H0YeH/rA9C8BWouuiWdrnlQEmBddq8F1Rx0bwprNmhqtBKqDesCyHdrcifk4GPDRyVSYI4DkF4UpX8kBr6C/cSJE2dNCu973/tw4YUXYtu2bYXUYiUlzRdIpSUTms0IdFY9qk9CsxptpEI1gJRjVstbZ2QqUxLobB3vTsjBx6YkBgB49atfXZiB7QtqlBToTzhx4sRZrwu49957ccEFFxTCj8ytANoCSKEiaegaDbaJqFarGB4ezsvbTE3NuUg5Hq2fIZU0BXQ0FUuYNizKc2yXb9c22Nh0poTiyiuvxIEDB5LpwEB7Jm00Gjh58uRZL4q64447sH37dpx//vkYHh5GvV5HvV4v5BaknIzaBhsdYXKTJhTZtRB2JlcfAqE+BJZTrcVGLLjNG5OleI0uQgM6pOUYXGxajYG49tprC+YEZ/NGo4Hp6WlMTU1hamrqrOp+3/veh127dmHXrl2YmJjA+Pg4hoeHC6sVh4eHMTo6ms/8JA6gnHikKxxt8hVQNAlUE1DnpXU+aj1A+Z2W1jlNn4hqL3psd7l2DCY2tcZAXHXVVXjssccAFPdUOHbsGI4fP37GavFdd92FkZGRfAcmq/IDnVmVCUy60cvy8nIeldDIhPoOuFO1+hZshiNQDCnqZ9bD73SvB4KrTakNWF+I1S4suTgGF04MGa644gocOnQoT3Gem5vD7OzsWZHCjh07sH37doyPj+d+A32DVK1Wy5cwj4yM5DtFM3dBV1Ny4xklBr7olkSjwsnPKsyqWagWop+Bckalhi4J1q++Bz5bylfhGEw4MQiuvvpqfO5zn0Oj0cCJEyfOeAn17bffjrGxMezatQvj4+MFJ6IKKomhXq/nmgQFXUOI1F70dXIkBS6MUiHX3assKQAokIhdNAZ0fBG667Otg/Vo6rVdeQm41jDocGIw+OVf/mXs3bv3jDdbufPOO7Fz585cUxgZGSm9w9JumsIZd3h4uBQpUEdis9lEtVrNcyk4Q9P8sFEVzT3QzVs1kUt3etLFY9bhyAQo66fQP82xYNIV08sdgwknhgRuvPHMtqK8/fbbsXXrVmzbtg0TExO5g1GjAnQc8kUyfGWerjmgkAEdPwLXP4TQ3umZgspjzS2wu2ADxQhHymGpM7tmfCrRpPIgUhEPZobOzMz4pi0DDieGc8Dtt9+eb3W2e/fuPOoAFIWJwkbTYXR0NPcnNJtNAB3y4AxPU2FkZCQ3PUg2LFer1fIXu3CW5h6RNudA/QWWODQrUttNpEwFzRpVJyW3y3cMNpwYzgFbtmzB9u3bsWPHDmzbtq1kV9McqNfrGB0dzb/nMm2uu6DazTwHCj9f4UYtg1EMkszi4mKBFLiGg6SiuQ9qmjCaYZdj87M6FrUM39ql2ZE2e7LVaqHRaKxJ/ztWD04MZ4n77rsP559/PrZv346tW7eiWq2WXsbCBU21Wg1AZyu4RqOBZrOZOxLV0ccIBsOYVNHpY1A/BRdfUdCpQTQajcKmsSq8KvBAMVeC5ZQY2C7dKs6GPvlc3CXbsx4HH04MZwhGHnbs2IELLrgAF154IcbHxzE9PY1ms4lms1l6ESxVbP5NT08XXjILdN6HwVWWExMTaDQa+Wc1J0ZHR3MNhf4Kzvhzc3M5oWjWJFDc0UmdlnbmV/JQMuL3QCfCYR2O/nr7jQEnhjPE6OgoduzYgd27d+PSSy/FpZdeilarhZmZmTxFWZ2POpPOzc3lb3duNpsFfwCAPCegVqthcnIyn6W57yM3cAkhYHR0NM+Q5CzO/RfpyNS3dQPlPSvtS2VYjpqOkoBNfiK4DX+j0cDzzz/vy603CJwYzhDMbXjsscewa9cuDA8P5+/K5Oyvtvzi4mL+MltqE0oIdgEUVfxWq1Va8hxCyE0MkkutVss1BqAt1OPj44gx5kSk5oBmKxIkIJYFUCIVLU/zhv+ZKfrcc8+tcu871gpODGeJK664Ik8+opBSWGjfUytoNBoFJyNVfEY0SAbUFtQBSEFttVqoVqtotVq5wGqSk673qFarGB0dxdjYWO7LoElAkIx0n0eb5QgUN8W1vgf6Nubn588qddzRv3BiOAfQqfjtb38bc3NzhdfFMeLQarWwsLCQmwlLS0u5WbB161bs2LGjsI+jzWS0BDE7OwsAGBsby0OjdHQCnVyF4eFh7N69O18IpklHaibwGtVYNG8CQOnt14w+MH38yJEj/lLbDQYnhhXAz/3cz+GLX/xi7tCjJqHpzBMTEzlp1Ot1jI2N5QKoiUn80z0fNYrAGZ5kozM/t3ZjyHNpaQkjIyO5n0N3pAJQiDKo32F0dDQPhdqt47lOgs924sQJJ4UNCCeGFcIrX/lKPP744wUvfb1ez4Vf1XhGGJaXlzEzM5MTw/DwcCFEyTCgXT1Zr9dLWYy6qpL7QjLsubi4iEajka+9IAnQz6FRC2o61AY0wgF03rK9sLCAqakpPPPMM2vVxY41xKbbDHYtcPDgwTyUqPY7VXAmI01PT+cJTMxJYJ6DCiIFnzkO1Ar43/6xzPDwcD67Hz9+HHNzc5ibm8v9FKxft4jn/Wy+AgmCpPfcc8/hHe94x/p0sONs4ZvBrieuueYaAMA//MM/5IJGRyFn5Lm5ufxt25VKJVf36bBcXFws7PisfgdV6TUEqX9AJ9rAbd15f91xSf0NmtfAOlmPZlHOzc05KWxwODGsIl7xilfgiSeewMLCQh61aDabmJ2dzROauApzaGgon8nt+xuUVAhu/qIzvjoqVUthWnar1UKtVst9DPxeHaY8r+aFagtcku7Y2HBiWGX80i/9EgDgk5/8ZD5bVyoVjI+P574CztKjo6O5U5ELooDiLkz0EzBHgbkRXGyl/gmg488AOm+oZkaj5l9oboNd/s06m80mnnvuOfzhH/7hmvahY+3hxLBGePOb3wwA+MQnPoEdO3bkwkp/AiMRdFJylufiKTUd5ufnMTMzk5NIq9UqRS4WFhZyEgA6ayLof7DLqnW/SNVYSFzMyzjb/S8dgwUnhjXGb/zGbwAA9u/fnyc/UWOglsAkJX3VvC6N1pCkhiv1zVQUfGooqjXQ30BHqG7HpqnRAKms1WYAAAb4SURBVPIoRowR09PTuPPOO9e4xxzrAY9KrDP+7u/+ruBYVAIgdBFVjDFfjEVTg5pGtVrN8yMA5IlOuuckgNwUmZubyzMy7ToKu9JydnYWb33rW9esXxyrAo9KDApe97rXAQAeeeSRPBeBOQ4aOgQ6W7PxjdYUaJ3haXLYcCkTrRjl4KvrqaWwbrs2gvXRYenYHHBi6BPccMMN+fGhQ4cKtj2h+y4y2kDHIU0HXTehYVKe4zH3bgCK4UiaHCQm3U7fsXnQEzGEEH4IYBrAEoDFGONlIYSdAB4AcCmAHwJ4Y4zxRGhPNR8C8BoAcwB+O8b4tZVv+sbF1VdfnR8fPny44EcgUdCXQEHW19mRBIBihMGGMZk7oZvL8L8lJG5B59gcOJM9vl8dY3yx2Ci3ADgcY3wRgMPZZwC4HsCLsr8bAfzFSjV2M+LKK6/EFVdcUYhYAJ33XjIEyWQooJiYRNj9HDXnwW4DZ5OmWq2W77OwyXAupsRrAbwqO/4YgMcBvCs7//HYHp1fCiFsDyHsiTH+5FwautnBfAji4MGDAIovgNH9HfR9ENz2TRds6fbxuhGsJj3xetcWNh96JYYI4GAWPfirGONeABdQ2GOMPwkhnJ+VvQjAj+XaI9m5AjGEEG5EW6NwnAWYdg0A+/bty0mBWoI1HYDOsm5Ns7b7ParpofsuODYXeiWGV8QYj2bCfyiE8N1TlA2Jc6VwZEYue4HNHa5cCVx//fX58RNPPFFaSq0rKAHkadckA4168LM6Op0YNh96IoYY49Hs/7MhhM8AeCmAZ2gihBD2AHg2K34EwCVy+cUAjq5gmx2ngDU5iC996UsAOpmM1BwY9rTEoYu/+iHXxbG2OC0xhBDGAQzFGKez42sA3AXgYQBvAfAn2f+HskseBvD7IYRPAXgZgEn3L6w/Lr/88tK5J554AkD6Tdj6Hk0979gc6EVjuADAZ7LBUQXwiRjj/hDCVwA8GEJ4G4D/APCGrPzn0Q5VPoV2uNLT5foU3bQL4qGHHiokPTk2D/olJXoawPfWux09YjeAY+vdiB4wKO0EBqetg9JOIN3WF8QYz+vl4n7JfPxerznc640QwlcHoa2D0k5gcNo6KO0Ezr2tZ5Lg5HA4NgmcGBwORwn9Qgx717sBZ4BBaeugtBMYnLYOSjuBc2xrXzgfHQ5Hf6FfNAaHw9FHWHdiCCFcF0L4XgjhqRDCLae/YlXb8tchhGdDCN+ScztDCIdCCN/P/u/IzocQwoezdn8jhPCSNW7rJSGEL4QQvhNC+HYI4X/0Y3tDCCMhhH8KIXw9a+ed2fkXhhC+nLXzgRBCPTs/nH1+Kvv+0rVop7S3EkL45xDCZ/u8nT8MIXwzhPAvIYSvZudW7re37yNYyz8AFQA/APBTAOoAvg7gZ9exPa8E8BIA35Jz9wG4JTu+BcC92fFrAOxDe23I5QC+vMZt3QPgJdnxBIB/A/Cz/dbe7H5bsuMagC9n938QwJuy838J4Hez498D8JfZ8ZsAPLDG/XozgE8A+Gz2uV/b+UMAu825Ffvt1+xBujzcywEckM+3Arh1ndt0qSGG7wHYkx3vQTvnAgD+CsCbU+XWqd0PAbi6n9sLYAzA19BOlT8GoGrHAYADAF6eHVezcmGN2ncx2nuLXAHgs5kg9V07s3umiGHFfvv1NiW6LdHuJxSWlwM43fLyNUemxv4C2rNx37U3U8//Be2FdofQ1hJPxhi5bFPbkrcz+34SwK61aCeA+wG8EwC3r9rVp+0EOlshPJltYQCs4G+/3pmPPS3R7lP0RdtDCFsAfBrATTHGqVOsa1i39sYYlwC8OISwHcBnAPzMKdqyLu0MIfwKgGdjjE+GEF7VQ1vW+/df8a0QFOutMQzCEu1nsmXl6Lfl5SGEGtqk8Dcxxr/NTvdte2OMJ9He6etyANtDCJyYtC15O7PvtwE4vgbNewWAXw3t/U0/hbY5cX8fthNAcSsEtMk23woha9M5/fbrTQxfAfCizPNbR9uJ8/A6t8mCy8uB8vLy38o8vpdjjZeXh7Zq8FEA34kxfrBf2xtCOC/TFBBCGAVwFYDvAPgCgNd3aSfb/3oAj8XMMF5NxBhvjTFeHGO8FO1x+FiM8Tf7rZ1AeyuEEMIEj9HeCuFbWMnffi2dT12cKK9B26P+AwDvWee2fBLtLegW0GbZt6FtNx4G8P3s/86sbADwkazd3wRw2Rq39RfRVge/AeBfsr/X9Ft7Afw8gH/O2vktALdl538KwD+hvTz//wAYzs6PZJ+fyr7/qXUYB69CJyrRd+3M2vT17O/blJuV/O0989HhcJSw3qaEw+HoQzgxOByOEpwYHA5HCU4MDoejBCcGh8NRghODw+EowYnB4XCU4MTgcDhK+P90YZzpxlhdLAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3172b438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31ddde80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c302eb240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c321304e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c320d6cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c324970b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c325f7588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3268dac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c325c6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32b6c0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32d1bcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32b7cc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32b80f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c330440b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c333f4f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3326cd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3326c400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b882898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3324b438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3300ec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32efd5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c33521400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32cd10b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32932550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OJYlCSjhas92uqQCkhVfPzWaziSnfaDSQzWaRz+eTZeGazWZi9od4DeU+1O8nrDXB89gvTbBSZWcVBZWfVU5672g12N8jDg7XVQze+/+OMG8AAH8rUN4DePAm+3XoMDAwgHw+j2w2myxsYgVMlQHLqMlNqLCEwpUW2oa+UwmECEAb/VAlQPKQ33u1bSMMeoxt8LOuAqUZnqrQWNZyGCxXKBQwODiI6enpGMI8YMS5EtvA9PQ0KpUKcrkc8vl84kYAm2Y3X+QdgLSA2nIqHKxLBaXXHAW6L/a4VTIq/IoQ1xHiL7Rsr7CjdWusW2QVlN2I17oVXOBlYGAguhQHjJgSvQ2cPn0ag4ODyOVyKfO8Xq8nD7WSfkw7tpEDsvk2gUmho3xoFKe5bi0FZkiSaGRdKoihtrTvoQgCrQ2bsKV9tWFMrdO6EprgRWtCyVHvPUZGRhI3KeJgEC2G6+DRRx9NZkfaHaLpLtiRLySEVhlYf9oKkyXtuAozj+voa9sImeqhaIT2XRWY5SRU2IHuBWf5mUrRJmrp76xb+67uhk7RjlGKg0O0GLbA2bNncfz4cRQKhUQJEHYk1CQl9emBTaEPLYqiyUKag6BhRv1u67R90n7Z5CklH20EhHXq9YTCjiynnIW1HFTwLcGpfVHLRnmUTCaDYrGIwcHBG/3rIm4S0WLogXPnzuGee+7B+Ph4Mv+BJBtHaxtJ0JFY3+10a+vn68isx6hMWq1WstoSy9ElYbRD69BjWg9BBaJLxFulYK9HLQk7TdwmOJEv4NJuej/U5QpxGKyvWCxieHg47rh9QIgWQw+Mjo6iXC4nCUy9THF+3wlRB6QnL9lIgdbZ19eXyn4MkYPaJ82NsIKu1kTIxbAuRAiq7EL3g4qBPIu1PEJrSdqoCdDO3SgUCigUCj37ErF3iBZDANPT0xgcHEyFH/myvrIKJKGkHqHJQHaGJZCeu2CViS7BppYHYaMKTFe2BGVIIZDkC3EbdqTn5175DiHugddtJ2Oxr8qZqCWSyWSQz+dRKBTiJKsDQFQMBk8++STuvvtulMvlVFiSAqAEII+rma5KQR909bmt4FuCjsvCM+OxWCyiWCwmXIcVNM1CVD9fJ2FR0EL9C7lDVvitglGocKvCY1/sJjl6rVZRqDLLZrMYGhqKGZEHgOhKGAwMDCQuBNGLqLPQh53CaE31XC6XzCZUoVUhsQKjwsa5E+rvW2Hi8m/Ki/BctqsKIGQhhK7TKg2rMCypqfdLr83e0173GNhc8aler/f+0yJ2HdFiEDzyyCPo7+9PkWY2IUd5hNCcA75sNIFCbKcYsx2mNPNF90Enaemoy36QwS+VSigWi8m5TN0GunMjdDTvJbCEhhKt+6MhScsZsG9qFem8EnXBlGOwbkY+n0/WbXjwwSOXUHtoERWDoFKpoL+/P7WWIkdcIBzmCwmYknBbcQmsM+QaqM+vgqeJTNpGaKk3S3byPKsMgPQy8fzOOmw0hb/b0d6mP9u+q7KwCWHaZ1XAdKUGBgbQ398fXYp9QlQMguHhYRSLxdRor4rAmvqENZutZWEFh8LA9GbyBrZ+zQewLom+2wlWqnxUsHVUthaNKi8eZ1mt07bB9oHNdShD9ai7E3JFVPlqu+RGuCBOjFLsD6Ji6ODs2bOoVCqJKa6jmCoBIL0EGhD2w21OQsgCyOVyyW7XbEOnY2vyE+umm6PolVcBbLofKuiWY7DcgvXz9Ty9J9YSCClOG8rcqk1VqHSjqDRpNZRKpWg17AOiYujA5izow06o1WAnBGkZQuvSh56WQkih2BF/q3qs8OpxVUb8zSoZ25ZaD2r9sA6bqKV9tGFOe0/o7vB3vX7bbz3G8rxnnFoesbeIUYkOBgYGktHbPuQhBt0et8LL35SY5Pl2FLd1WP6Av9sRm8dtaraWCbH+miilCsJeD8+z7gx/Dx3Xdq1lwpWmFZbA1ftLBcC9O2nNWYUYsfuIFgPa+0FUKhUA6CIarTCrgKtroMKsgqWpzDryKVlohV7rtiM26wlZFiqQVlFpOyFikQqDAqzlbHRB27RWD88LuQ3e+1RkgrAWhp5n3Y5cLpcshhOxd4gWA9qxcib/hMg4zXjUjWD0dwsVUBUUdVdCfjjLW4siZDmEeA6rrGw6tCov/Wz7rMesINs+2/eQa8W6mWkZ4mf0HoTuj/c+ISMj9hZRMQBJRmEorLgVW0/Y83r5/jzPkouhUKIKKZBm9VVYrSBrHwF0jdzK+ttoBs9tNpspEtMqPstd2GSsECeh/bJWjb0u5RLUQrO7c0fsHaJiADA+Po5isdjlr6tg2slJodFdFYItx4ecsG2oAlCokiBszoRaML24jZD5rteqda+vr6PRaHQlLzFhSpUZsb6+npzLkZ3tNBqNIAeiypKvXC6HsbEx9PX1YXV1NXHFaGlYQjhib3Db3+GHH344SWqycfheZjqPqcnba3l2DSXSv7YJTCEFYX1669vbc3lMywLdy7WzjtCkL9ah80GsJWKtn16hXHWjdKq6rVetgUKhkCwln8vlUv1RniabzcaQ5R7jtrcYhoaGUvyCFUhr6ttXSBkQKnxqbms5axH0Ytx7EYohZRKqzyqiUDl+V7dFozT2Pth2tT3WoWtDhK6NVkhfX3tFrGKxmJxPpaBWj85Sjdg73PaKQSdMWb9ZhUYfRrUC+NCGtqhjvXbfByC9Xby+E6p8bDQkpLisa8FyGlnQuvm75VJ4LbxGnffBsCGhhCqvU9dqVMvEKlD2jVYHSdlms4larYb19XXUajXU6/UuRbaxsYGZmZmt/9iIm8JtrxgoCMoTWPO5l9mtAqsCynJ2fQPWx99Dn/VcQqMidto3f+d52gbR19eXWt495K5oX3hdNjqiPIYKebPZTMpb5WUJRPZPlSmvlwvSsIxdK6LX9UXsPm57jsHuDg2k5xjYzEeFEnhWuG3GoQqh+s2hdSBD7Vlh1N+1v2oB6DVZlyJ0PdZ6UKXHmaH64u/NZrMrX4P3Tvuh98pO5KJiWV9fx+rqKtbW1lIrUyuXk8lkMDk52esvjdgFHAnFcDMr/CjrrSMvH1Q7v0GFWF0Knqd+tQqHVTY6oloiU9uwJF5IQQDh/SD0c+g8q4yUC+BCMerSNBoNNBqNRDHwuyq6EBFqIyT2pf1hXTaSoVEOruwUsXc4EorBe3/TLLU1qVmvQtl9fg5FMuz0YxUMywPwuDW3VanYSVtsR8v0IkAVIXNeR3mroGzbltzsRXLae6rtWbdErRTlclRBcZMf66pF7B2OhGIAkLDZO4WazPxuR1j7UNsR1n7mwx0SOjsLspcQW1fGCqBt09ZlLQg9R4+FOAY12y2ZGXK3OKrbeQyqREJKlP1UpRfiO7RP/D2TycSQ5R7iSJCPmUzmhncuYrycQminMANh/9xmKPK7/q4ZgOoG6IPO4zqSOtdm562Q6bsl4yyhx+PWWmHfWBfJQatIKPAargxZO1qfzWmgRcLrswpYrQa2SZ6B/VhfX0/N3XCuncdQKpXicm97iCOhGPL5PFZWVm7oXH1Q19fXE2GxprtaAxQizVLUBzwkBCqMdtQNfWb9FIQQQqa95UlCFolt03InquhyuVzXrlehc4hQGjWP2S37KOhqYWlbqmjVOtIVsyP2BkfClahUKhgeHr4hplr3krSKILT6s5q09Hs5utoIh12lmWSe1mfnK+jMS7ZjMxFVAbFdGy61iUB6nn63ysSW57wFzdpUxWn7S+gob3Mp9D6yXipmuzGOEpLWgrJzOCJ2D0fCYhgeHkY+n0ej0djxuSGlAHRvCKMPofrKfEAtAWjrYh6BjpaaJxAyw9W9CZF66sawPssJqNXC9uycD1UgKow2j0HLAJszRW19QPekL/ZHy2p79no1uWqrVOqIvcGRsBgGBwcxMjKCoaEhTExM7OhcjlT68Nkt3oDN0RzYDFOqyU2oYFqeodlspupTs5p9YVnrjthkKevrs45QslHoPKsw9Jq0/yqAVkGtr68n7YVWtLJWhLouCpvLof0MuUNbkbYRu4MjYTGUSiVkMhkMDw9jfn5+R+dS2ElyAZvZkHwwbQjNCp0lHUMPLtOMtYyd1MQ2s9lsQsCpH66WhaZZaxuh/ulvPGZHX0ssqrXE9lWxqYvA+6VQa4PXpm0Cm8pRLS4bHuV3PZ+KPM6Z2DscCYsB2OQE7LTlrTAxMZESGB259AHWB1UfYEvCqZAqU0+eAOjebcn6/nqOJSNtP9Rn5+/WVNff2T6PhcpZa6IXOWpnS4asFHVv9LO2pf3T+pWXsK4b75F1vyJ2D9e9s865onPuT5xzX3POfdM5977O8e93zn3ROfdt59zHnXP5zvFC5/srnd/v3ttLaD9QnHyzsbGxbXfiueeeSwmGMuVqATAzUn36ULKNjsRqFVjrwJJshCXrtG/KcdhR1dZhOYhQO6pg7LVYk17rUQUQ4kf0vvVym7RNmwkaslq0bCaTQaFQSLlpEbuP7ajcOoCf8d7/EIAfBvCzzrn7APwqgPPe+3sBzAN4d6f8uwHMe+//GoDznXJ7io2NDdRqNczNzeHixYsol8t47LHHtnVutVpN+fSWdASQGp0pJNY01pWFaBXws5J+QNsyqdfrqNfrXUqAo7HtgxV2FR5VNPqbEot6fYQVelVM6sJQOWqUJdQ3dR1sJELdHIW9t1Z5qBLUY/V6HRcvXtzWfxyxc1xXMfg2mCSQ67w8gJ8B8B86x18E8HOdz+/ofEfn97/l7LC2y+CIUqvVALQFb7uLedTr9USwQqMYERqZCTXP1TJQZWDrVHOZ33sJm/ZB+6FKImTy21CoHg+5MNat0NyLEK9i74degw0v2noth6D3RK0O28bGxkYyPyNi77AtJ805l3HOfRXAFQCfAfAdAAvee6YbXgZwqvP5FIBXAaDz+yKAY4E6H3DOfck596Wbu4T2A1MoFJKJNRcuXMDKysq20qQbjUaiGEKkHaGjqBVqPaajW8g/tiy9nmOjAyFrIuRnK+FpIxx6Hvuqx1mPWgJW0fTiLpRfUIFnnZYj6VW3WiJ6T/WdddgkqIi9wbYUg/e+5b3/YQCnAfwogL8eKtZ5D1kHXY6u9/557/2bvfdv3m5nt0I+n8fx48fxyCOPAAAuXryYpDtvhZmZmSS1llxCvV5PFIaa33Y9AiuUQDp3QBVNs9lMWSXe+4QX0ZmEujaE9e1VeKhErELTZCC1Viz/ob+rwtO1FTc22unJvA/qelguQ5UKE5csYch6VYFRgfbiY3S5fZ5rF4SJ2H3siNb13i8A+DyA+wAMO+cY7jwN4LXO58sA7gKAzu9DAOZ2o7O9wIdrcHAQAwMDO94VmanQKihA9wQrHlPhV0EJ+etAen6DPtAqjBoKtKSbHU31XB2BQ2Qk6+N90mM2cciO0vxd+QUKqo0KsFzI6tJ7q+tQhNyl0H23loXWHbE32E5UYtw5N9z5XALwNgAvA/gcgJ/vFLsfwCc6nz/Z+Y7O77/n9/hf5EPExUQBYHJyEqurq9uuwy7NxnclzJRA0+P2AeYIrUJg98JUAaP1wPUN7PJolrsIme6EkoDaZ722XorMKiNVXFYx2b0qgc21Layi6aVg2V+F7Zdel7oTdkeriN3FdhKcTgJ40TmXQVuR/Lb3/lPOuf8J4GPOuX8J4CsAXuiUfwHAR5xzr6BtKbxzD/qdAk30vr6+hGe4dOnSjs63/jYFQs1cGxXgkunWR7fmN8HvXDvRWgQ6QjOBx5rW1pWx6xrwuM2UDCmEEA/Az+xPo9FILQtnlYl1o0Ll+Jv2zVol/J1tqeuikYtGo4F6vY5nn3122/9vxM5xXcXgvf86gB8JHP8/aPMN9ngNwC/sSu+2CX1wORLvBLVaDc1mM/Fj1RJQM1qVgJ0uDWyy91YphFwKfmdfvfepuR4MP/LadK0DvtvZiqq4WKf18a3LoJaPKjiOyKxDMw01BKtthFyCEJ9hYa0WVRSWqKTSjdhbHInUMa45aLmC7UIF0j64FAq1AizzT1eAL50EpMKh0QquTKRCyi3fLalHN4N1a86CEnkqxKyT75qfoJZCKKGKdWg7lo+w2Iqr0D4QammEEpzsy/Yprvm4tzgScyXm5uYwMDCQjOQ7XQ+Q5ikF1Y5aKnA6pwI6M393AAAgAElEQVRIT9vWsJtl2XnM+vwqSMq8a2ZfyIXQ41QWfX3tvRms1aARA6A7jyHk0rAcrRXta+jaVDGQSM3n810Wi8LmWFiiVRUfk8JY9x7TVrc9joTFcO3aNVSr1URod7rsF/cvANJsP4VOBVFXS7bzBQAkgsR3ugC6ZqEdSVm3+tsqhKpMlO/Q99AEKtavxGNofoW6RBTEfD6PYrGIXC6XsmRCZr4N2fKY3hflQlRRhhLJ1OKw9dKdeO6557b9/0bsHEfCYpifn0c2m0V/fz+KxWKySe1OoAKuI6wKrCoIaxqroPIzFYQdAVkeSE/N1kxDS3SG+qL1qrugloGNZoR4AL6rdaD1M29AFYi1GGxf9LNes7oDeu+sm6JK0CqGaC3sPY6ExXDp0iXMzc3h6tWrmJ+fx+DgIMbGxvDwww9v63w+gHaHKboJOoEK2AyXkXdgOLJQKKQUE+uxAm9HSB057cumW1syzpr3+pt1D6xQ6ohshU2tF12pmas50YrIZDIolUool8sYGhpKLKSQa8B7bd0au5aDJj2psma5ncygjbgxHAnFAADPPvssqtUqqtUqnHOoVCoYGhra9rnc4MSO6CrEmqBEQdSsvK1GYxVs+5BbH12Jy5DbYXkGyz30IvCsAtL6Q2a9JRJ19LdWVTabxfj4OE6cOIFisdhzk19CV9AOKS32yZ4fyqmI2H0cGcUAtC2HarWKer2OYrGIY8eOYXp6elvnLiwsYHFxEfV6PZUXEXIhgE3hVB6BsMLGY/YhV8VhFZKa53rcCjuQXlHKtm/zMLR+llErhMdYxmY9WiWo5/T39+ONb3wj7rrrrmRPUKtgydNYS0GvU60l64YwSzRib3GkFAPQnvvw6quvYm5uDv39/bj33nvx3ve+97rhrQ9+8IP4y7/8S8zOzmJ1dRXObe6DYH1d51yySGrIDbB8BZBOGmLdofM0Vdj63frdkpOEHdU1/dgSnKqoWF7bs7tkAWlyVdtutVqYn5/HsWPHcN999+EHf/AHk3LWKrACrxaNvW5VIvV6PUUUR+wdjpxiANoTqK5du4ZarYZSqYRjx45ty63g+gg6yqvQMXmKEQYdLUMmcy+SzApbyMzn+VYoeTwkXCGuIKRUtM7tmOa9FJXW22q1sLKygldeeQW1Wg2nTp1KZreqstI6raJUC8iGgVutVpKFGSMSe48jqRiAzUVRM5kMyuUyjh8/ft09LovFYkIeWtIPQELAcSTk70B3WrU+7Hz4leS0qczaXijpiO3o/AqiF0Gp51lCMKSYQkqJ9avy0N9IwPL1F3/xF3jppZewuLiIkZGRVHhUFStdMF1zk/NE9J7zHpLwvZGVwCN2jiOrGIBNk58PZKVS2XLm5ejoKMrlchebzkxFS/CpL64+cMjcJ2wegHUlQsLNNqwbYMOF2yUh2Q8NbfJYL9fF1mejDTzWaDQwNzeHy5cvI5/PY3BwsCevoUpQFaQ9xuOcDh+x9ziyimFjYyO1poL3HsViEf39/cHkp8nJSQwMDKBYLHaF/YDNh1lH7NDoGzL3Q64BXxqWsySgXkvIsgiZ6FawrTsUcm/0OmwZVVQ2eqIKQ5Xk+vo65ufnUavVUC6Xk0xU5Tys8KuFpf2nW8GEstDkuJ1uGRBxfRxZxQC0MyJffvllfOtb38Jf/dVfodVq9dxCPZ/Po9VqJeSWLvVuR2IeVwLRhiSBTYFTt0FdBBUQ1snfVKi1ftZBS0Hr1pRsbc8KOhWFkqqWFwlZLdbd6EUYbmy01+CkcuDirUB4gRntZ6/p3PqfKKamplAqleIGt7uMI5H5GIJzLpkDcfHiRUxOTiYJOPl8HmfOnEkeRHIRCwsLyOfzKJfLGBgY6DntmZ9tmi+QHtFD4cOQNWD7raOzugiEdVPUMmEbSqIyAUv7ZJURrzPkCrG8pmBrCJN90uvm/anX6ylLRNsP9VXvFzcrphUSmlVJNzEmPe0ujqzFQH+XKwlfunQJS0tLqNVqyOfzGBgYQDabxTPPPIMPf/jDaDQaWFxcxPz8PJaWlhIBsaRbyFRXf5+wI6tVKFtFAtTFsOeqsCsHoqFDtW5CfIHWw980wUjb1jpCPIe9PuUIeC7XraAQW3JUj6uFw77SlQgpBi7OU6lUMD09vePVuyLCcCGfc9874dy+duLJJ5+E9x7Ly8uYmZnp+v3s2bM4ffo0RkdHUSqVkM/nkwdWiT3N3rNCom6EFdIQrHVhv2s7qrDUYgiNumpxWCvGWgb8TKJVp11rP/V61BXhORRguwQcIwu0EHQ9CW1H21hbW8PS0hLm5+exuLiY/F9TU1MJKVwul5NZpYxurKysBP/b2xxf9ttcY/XIuhJbgcvM2xRmYmNjIyG7gLRAUtD1gVbzH+ieJs22rL/PUVlDnaxP+xJSDoQKuu0Dz7fp2po7YMsDSJnlSjzq+ZZbsHwE67RkqSoSVbLWzeC9ojtYr9eT36emppJ6Go1G4ibR8tjY2NjxYj0RadyWd69erydJSiFY/iBkGfDBtqG4kJuhx7UN9a3Zlt18ZatIgQqdvgNI+AJVaiqAamWoUNo22YYqA9umvXbu0xniE5Q01b6FrClyFJzHks1mE1eByo6Rpnw+j2q1mqy6HdOmbw63pSsBAA899BAymQwajUaXyXnmzBl83/d9H8bHx1EsFrtGQxUAIG2u83frL+u5vQg7mz5tIx4syzJqcehoTFihtiM0rQnrTmg7atH0Sr1mWfaDoWKSnpoQFkqLDlkdzWYTq6urmJ+fx/LycmLl6epX3rcXhWGU6amnngr/2RHEtl2JI0s+Xg8UlJDJmc/nUSqVglGEkO/P46E5EjbMybJWKAid+q19tcy+tUzsXA49T4XShkd7jdbWiujVtlV+1vKwoU3ts5ZXMArBfTdqtRpmZmYwMzOTWG/1eh1LS0s4f/48nnrqKSwuLqbqiEu/3RxuW8Vw4cKFZLl2xeTkZDJtGOheH4DHevnUqhhCYbqQ6R5SJNqebcsSi1RuVvBZlwqnzkmwHIkVZr1W9ltHe6vwbDuhqdcWVM5alvkkq6urqFarKYtuZmYmyWtgshOJSPsfRtw4bltXAmg/QN77ZFLOww8/jGKxiMHBQQwNDSW+K90JFbpsNpsS6M51AOhOEtJkqdBIrLD5BTasqX46l7LTqAn7afkPGzVRv5+Cr2tNEEq2Wl6FddvfqUB43fl8PqmL/eMCNzZisrGxgZWVFSwuLmJubg7nz58P/nfT09PJ4jh0KxYXF5HJZFAsFpPoCK9rZWUlTr6KUYntwabX6ggcYv4tWQig63vIrFceQOsMEZh6nk2p1rotw68+vzXtQ4Ks5SwZqefqfAwbTeD1hxRkKHlJyVw7ILGNZrOJ5eVlVKvVLQnEtbU1FItFZLPZRAEUi8UkEapYLKJSqaCvrw8LCwtbWi0R3bhtFcPU1BSy2Sw+/OEPp47TtLXCoA97iHvguUB6WTQr6MrCh9KJge55FhqB4DFLSobO1/atW2L7ZgVe29DzWX/IjdDQprpg2m/Lwdj7Vq/XsbKyguXl5S03lbFuBCMhrVYrmU1bKpWwsbGBarXas56IMG4bxTA1NYVyuZw8tKVSCdlsFtPT04m5ytFmbW0tWYFI5xWoAIesALueYujh1wiCCkoo5EhYRaMKQ10cCrNuKGuVDtA9mYvXzn7aEKK+qxCrslFLxrpLoQgEP7Pf6+vrqFarWFhYwMrKynV3mpqamkrxCOvr67h48WLyP4+MjCTWBLCznckibhPFcPbsWZw4cQKDg4MA2mYoM+R05Lt06RIeffTR5LtNAQbSws9QH8N+ALpGQwpfL1OcsBaIuhdaj5rovVwMtSasdaNWgLZjrRJrTWhZHtMdukKRi9A8EIW2t7a2hpWVFayurmJ9fT2JKliBfuihh5DL5VCpVJLJWY1GA9VqNbEClRNi3RE7w22hGMbGxnDHHXckS8oPDAxgcXERtVotlX8/OTmJbDabWn5e+QXLGxAhpp/nWgEOzZa0oyz9eitc6sZoH6xLoe/6+1bH1GUJ9dFeWyhFXBWpvV985/3WfjJnYWVlBWtra12kLbBpIVQqlYR01PvODYP43/G+1et1LC8vdz0TEVvjyCuG973vfTh16hT6+/uTh7xQKKDVamF5eblrW3pusAKk8wD40DOMaEdX64PbUVnZ+15KhnVal0StADuS07fmMbZvXYkQYcg29bpCo3ovCwNAklZN64H3U/fepGtDDkAjFuQUOHnNcgd2OvXq6ir6+vowPz8fnC/CGZlUMFevXo1uxA3gyCoGjjDMSVAfnIKgHALQnqnHEcfua6CjaMg0D43GKox0O/Q8SyDayIIlAHkcQNDsZx08bt0IbYtlVTHo/QGQTHSyfbbt23uhyoShSVWmPK9Wq6VcCCvArVYrOBFqYmKiK/Q4MTGRhC05Wcs5F92IG8SRUwyTk5MYHh5OOITZ2Vnk83kMDw+jUCikFEOpVEoUw9TUFMbHx1GpVNDf35+ayqwRBSBsRut7yBRmWRUQVTzKJWiastar/jz7wDa0TiU6tTzrsNZCLz4DSKd983zLdWh+h2ZuhtqlddFoNBKi0c6EPHPmTFe0SBHKR3DOYXh4GIODgyiVSsm6nTvdkSyijSOX+Xjp0iU0m01Uq1VcuHAhMVNXV1fRbDZRr9dRrVaxuLiIjY0NDA0N4bHHHsPw8DD6+/sT5UFY5t0qActBWN8fSHMQFG4b5dD2rhdRoOBZ8z9EANo+sQ0KvC7IaneECvErSjpaxWAthZASYtYiOYXV1dWUUjh79mwXEbsdlEolHD9+HOPj4xgeHkapVEKpVMLAwEBc+u0GcOQUw9TUVJJbD7RTaJeWlrC8vIylpSXMzs7i8uXL+M53voNr164BQEJq0YKgMGmkoRdTz+8hjsGOmnquCis/26XegO7MR9av0Patq2AJTOvChBQH29D1EvTF31UhqFKx90f7RR5ibW0NtVotGJYMLcjSCxMTEzh79iyOHz+OSqWSrPLNrfSGhoYwMjIS507sEEfOlQj5pB/60IcwPT2NXC6HarUafBgfeuihZDk3u9uSmtpWUK2prQuzqBnfK09AR2KbIMVkKytwvaIZdJFY3vaNYEahDX2GXBZN51YrQJWBchcawrVZnbQWmNkYUgCcKr5d5HI5jI2N4eTJk0mYkufncjkMDw/jDW94A8rlMh599FF88IMf3HbdtzO2bTE45zLOua845z7V+f79zrkvOue+7Zz7uHMu3zle6Hx/pfP73XvT9Z1hbW2tp1IA2pvUqJmvL0WvmL2OqDYF2D7oIXdDfyP4m0ZH9Lh1X+wW99Z60ONap/2s5yrPovthWNfBtsc67fWsrq5ieXkZ9Xo9RfwSGxsbO1p5KZfLob+/P7W+ho36FItFDA0NxYlVO8BOXImzAF6W778K4Lz3/l4A8wDe3Tn+bgDz3vu/BuB8p9yB49KlS0GznHj44YdTW6pZwQ0JGc1tJRlDpCGAriiHDVdquyGlERJAq6Csa2D7obyErZN9ZFm7KY4u484ogw1vajt2Orteo5Ke1sTfKb/ASBKvV/vFfrNfO3FRbndsy5Vwzp0G8PcA/CsA/9y17/TPAHhXp8iLAP4/ADMA3tH5DAD/AcBF55zzN8Io7TJyuRzOnTuHcrmM4eFh9PX1YW1tLZmRNzIykhIaTfvtRS5a3sH79nJjOoLbsqocekUN1ATX+pW32NjY6JrlqRENrZOugLVqQsvKqUWg5SyhqLtIWSVIgVSeJpPJYGRkBK1WK1k/wXuPqakpzMzMJO/E5ORkIvRra2upaMSZM2fQ39+fZLTyuin8+n/ovpcR28N2OYYPAXgCwGDn+zEAC957quDLAE51Pp8C8CoAeO/XnXOLnfKzWqFz7gEAD9x413eGyclJnDhxIiGouLHMwMBASkA7fUsJlv3NlqOghawAIJ1wpEpAcxtCI6/6//xO/kOXebd+fsjt0IVde1kmusy85R+U96CSsXkg6oao9cE2WB+Vsvc+Wc+RkYOpqalkCf++vr5kSrlzDmfPnk36PTw8nBCLnNYduhfr6+tJBCRaDNvHdRWDc+7vA7jivf+yc+6tPBwo6rfx2+YB758H8HynjV21Jp544gk0Gg1sbGygWCyiXC6jXC5jdHQ0WQaMo51yCLo+AH1rK7ghFt+SbSFTXjMUeY5aEPThbT022sHfNTVaP2s57YvlAwhVVOyDtq3LurENWinWiiFRankZPcZVnb1vz2HQFGgqm5GREVQqleRcrjvBvuXzeYyMjCQreKt1pcqBuSyLi4vXna0ZkcZ2LIa3APgHzrm3AygCqKBtQQw757Idq+E0gNc65S8DuAvAZedcFsAQgLld7/kW+MAHPoCZmZlUdqOm8PJBDu02Zc3vXispA91mOEGhVKHRSIAqldCIrMeBbivFLrSqgqxugK4rof2xys32h/3UqEgvTsG6Mzxm6+dn7RMXeeXWc8xeLJfLAICVlRXMzs4mS84XCgUMDg4mWwna/BBeG5OnGo0GarUaFhYW8Mwzz1zvsYkQXFcxeO/PATgHAB2L4THv/T92zv17AD8P4GMA7gfwic4pn+x8/x+d33/vIPiFgYGBnpOCgHTykX5WN8KOoBqS1AiArVOP2ZwEa1FQ6ELZkOon0+rgKG65ECvw9K1tMpUdXa2bYi2IUDakfrYui1oL1g3iuVzQlfeQSpP5JOvr65ibm0vtI0FMT0+jXC4nczBsG+vr61heXsbVq1cThbKxsYHJyck4Z2IHuJk8hicBfMw59y8BfAXAC53jLwD4iHPuFbQthXfeXBdvDL/4i7+Ij370o11rN/Jht3kF+qCrMiFC5CNhH37Wo78RZPQp0BrVsK6LCnFoZFR3xF5jqEyvKIJeYwj2XlhlqIpJ7yGPa5TAkqC06h555BGMjIygUChgdnYWTz/9dLAv2k9r6ZFkrFarWF5eTvYq7e/vj4u17BBHfs3Hj370owC69420HAHfrXWgo6iOsHak3EpZcPTmfgfkPzh9WEdRnmMThNh/tQDoUtCUV8Wn73ptKpT2v9cyWp8lUdWX1/RqvReqJDSyoUI8OzuLpaUl1Ot1lMtlOOcwPz/fcxn4iYkJjI2NYWxsDMeOHUt2zOI9rtVqWFlZwWuvvZbUcfbsWZRKpbi0fBtx+XjiXe96V8rv5iaphPIH1hrQ83T0tfMn1HzWB59xfxJgCwsLmJubw9zcHJaXl7G6upraxTk0glNp8HcqBLvMfC9ykedZHsLCWh56riVKlfQMWUvWrVCriOdxElulUsHg4CC891hYWMD8/HzwGgBgfHw8meimXBHrJH9Rr9dT99AuLR9xfRy5lOgQ1Iy1vr2Obnzo1aQPCUQvIdK26Kpw4tbi4iKazWaKNSdXkc/nkwebikb5jtBW9zqrUsuF+qUWANsP9Z0gN2EtDlWeoWQtIG1JKbmr77xPXIEpk8ng2rVrW67k/OSTT+LOO+9M9qnkdWm41G7FB2DLWZoRvXFbKIZ3vaudh/WRj3wkeWBpOejDS8FUYoywIUEgHTcndCGS5eXlxH2gwqE5rZOOuPv2yZMnk1meZNfr9ToWFhaS0B77rVZPo9HoGqWtECqUROQ9YP9CyoPllfS0VsxWBCyPhSwvpjIvLi72VFRAO8ORO5Tb/0Cvh+Uibg63hWIgVldX0Wg0ksVBmN67sbGR5NxzL0SGw6wgAGkyUBONKFC1Wi3ZcxFIC4YqoHw+n2TuVSoV5PP5VCpyvV5Ho9FALpdLYvI0ky3JSEVDxaNRhlCasOUrVNHYrffsepaWSyDHocfUqlB3jPXQzWK5crmMUqnU87+zW+kpSaz/i4Y7I24ct5VimJiYwOOPP47V1dVgssuDDz6IgYEB1Go1VCqVxHIoFAqph1qFiIqh2WwmioZWAh9UTS/OZDIYGhpCLpdL1gygabywsADvPfL5PHK5XLLjtnIW7IOa9HxpeA5IL/qi+RGsg65MLpdLWU4aEqVVEYrSsLzlIfi7cjHKjXA16Hq9nizeOjAwgOHh4a60aAB47LHHkvCzcjpqxfEa6ZpF3ByOfFTiRjA1NYX+/v7EbO3r60tm5mlGpI7QFqoMKFzlcjlJ46V/rVYEhZ1JWZrIxJ2bdPRVPoOCSuUAIDXjUPvJczjaayajjcCoi6LHNUqiisG6XJqK3Wq1sLS0hO9+97t4//vfD6Cdqu6cw5133pko5StXriRKa2xsLFmZSTfHBdIukXIwV65cwfT09C4+EUcGcSeqm8HMzAwmJiZS/my1Wk1NDNJko2w2myw2CyA1svMcjozc/o57XDQajdQycnznfAhdL5HKge/A5mKrVCK0bmxqsoY9eQ2tVgtra2uJRcCRVq0DrUfr6zVZy7bFOlRpKKhkGDkoFos4efJk0qeBgYHUAjqaG8Hz1VrZ2NjYcgeriO0hKoYe2GqfQ65gTPKsXC6jv78/cSeA9Gjm3Oakn8HBQZTLZRSLxcRtsPM2bAhOhYLby9PNYHkqEmul8HebcMVjVA5c9SgE9e3ZTxVIVQjapl4T0BZazmJ94oknkpmtABKyttVqYWhoKFnGX3cFU0WsfdP6ucdExM0hKoYbwMZGezGRM2fOYHh4OFl8lj40TXPvfbLC0N13341cLodCoYD+/v5E6HXU1YxBfufKxxwpufQ9BZPbsJHMU15CIwNKOAKbXAKVlCogTaBiWRulUTfHZlTqfVLBzWQyyaIqo6OjuHbtGqrVaiqqUqvVEh6G/AcVAq0noHvFa7pHi4uLyZJ9ETeOqBhuALQmGo0Grl27lrgDHLlpzvb1tad1j42NYXR0FAASMlPdBSA96jPywAefVgLLqIvD9mhFrK2tJVZLr7RvID1XhKOy8goUanWb1EJQJWNzHfQY29djtASAdqh2aWkpmUFpFRnvJe8JFaXNeuSO1teuXcPFixdv+j++3RHJx13A5ORkksVXKBSwvLyMjY32CtSnT5/GG97wBoyPjyejsq4xoPwBX8yWpKAwD8IKt6YsKxlKJbG0tJSkX3MxFSUYgfTIy5FZIyhKQGp4lGVsIpS1VDRDUklPoC38tVoNS0tLWF1dRS6XS/gSKkGuEbm2toZsNpvMrhwcHEzuzfr6OpaWlvD666+jVqt18StMIGs2m7e70ogp0fsJLhtXq9VQrVYTV6BQKCQLwxB8QNUUp4DU6/WEJ1BBU6WgioDmtUYKuNQZ4/nkDVShqNtBF4if1cogNBfBRkb0peFTOyVaJ1XxGElZCi5fDNd671GtVjE/P4+nn34aTz31FGZnZzE7O4u5ubkkhfrKlSu4evUqzp8/j5mZmRSRy/pJ+tqdrSLCiIphl8D8BfrLnAvAh5x5C1woBthUCHQV7OQlCpwN06kQsm17fqFQSEhRhkbVqrBJWeyPWgIhS8FGAOyqSKqAbN6D5Rysa0TFkc/nUSwWk2iEpnqfP38es7OzeP311xMlcfXq1dTqzzZC0Ww2kclkkh3MI66P6ErcJDgCcc1CoJ0/MDQ0hB/4gR/AHXfcgRMnTmBoaCgR0Hq9nggkLQxNUAoJn80N0K3uVYipeHR0X1tbw9LSUqKELEegYUUlRa3bwbLqTuj5lsOwc070GjQHZGNjA3Nzc6jVasjn86lJUvPz87h8+TI+8IEP3NT/xFmWXPtxJytRHyFEV2K/wEjDxMQEZmZmklFqY2MjSR6iyQyk91doNBoAuoWNoxxXIOJnnqPnkzuw8xw0YpDP51NLoKmw2ixJDY1aq0IFn2U1WtGL4LS5DtZ6oJVAzkDP5zySBx988Kb+p2eeeea68zEiNhEVw02CIxsjFXxnOrRmOGookYJOgSNpqEu0U/A1LVrJRZbj1G3lIGiiZ7PZJOSn8zRsfoEuFqNRDK1Pw5LWAtCymkdh3QdVOKpEyAVorgaTnOhW3CxoJei1R4QR79BN4vz5813LklMYdQRVIWZoDkBKSXCOhVoEfIVIPyoSkp60LlTQSSgyB4IJVYwAWCuCfVIloErBTryy60+yf/purQNaUFovLa9MJpPcj3q9noR9d2tzWuUrInojMjG7AI5EExMTqYxFDUNS2PQ7hVsZfwoahUenZ6uisSMugMSS0N9svgKThEI8AY/RrWD/QnkKeg77RvB8nmMVA2EjLrRmaCXZnIrdgCZJRfRGvEO7iOeeey4h9XQCkxJ4tCTs6KpRBYWO0iFBVKHVeRRWgdCt0QgHBdiGQRVq2aiQWrdB+2vdkBD3oPkOakFQGZIkpPUU5z/sL6Ji2CVwq7XnnnsuWdPBbi+vIU1aB+pGUFgoJEoqam6ACpoqFI6wmhrNOsrlcmKqK2jd6ExSch42tKjKgNAUbio4OxOU56vFoa4J37kJbX9/PwAkrtVuKoaZmZm4v8Q2EF2JXYJzDhMTE0kOAROLqBBWV1eT9OWQ/62rKKkpzjRpCg85BAqvCizbY39s+rQ11wGkRn3lFKwJT8Vj8xxCEQt7X9SN0NCnhk2pGEja8voYmYnYX0TFsIvgw93f349SqZQIBa0BuhEU4pD7oJOnKLAaitT1DZQLsIKpwsgySopqHfYcCq+mFvdKiNJzNe/Bug+qnFR5Weg1co8IbTNifxAVwy6BCU5cjIW5A2T/6UKQgbcZiBQS9f/pilCYvPdJ+JO7ONl5AWo5MAKiW8W3Wq0k3ZhEJS0P9ssqBNZr3RhtV4Vc51AQqvxUmem1ed+eS8G1LVdWVuIOUgeEqBh2EVyMhcpA11zMZrOppdfscup2pOUxCgqFl5mNLGdHfU0kCuUZcENfhknpUij3YDMZbf9Yv3UTeJwIRSy0vFUexPr6OqrVaiQcDxBRMewiuLgIBYFrRoayEUPmMQWSJKHmKFBIBgYGEsUDbC7lppaCDf/RKlD+IhTq1OXlgO7p1KGQI6EcRCiByZKP+t2GJbnnRsTBISqGXcT58+cBAC+++GLCC2jEoFgsplZfItlIcL4yFAwAAAoASURBVFUn8gB0P+gSAO0l5rhEuiYE0aKwk59oGdB9oMvATEOWU+tDCUeCykdDlVZRqEURyr0IpWwT/M49OBiFiTgYRMWwB7j//vsBAH/wB3/QZY7bDEB+phLJ5XIJK697SCiRCbStCl2/QBOZeI4ufqK5DZzt2Wg0unItdPTWfob2rwTSHIQlFUPkpiVFCaaM12q1VMg04mAQ8xj2ED/5kz+Zyn7UrEcl8myoUfex1BWerMlNi0NflqNQpUOykopB983QFZNCCUz2BXRvS6eKzi5wyzI6X4Ow9ZIkjfkGB4doMewxfvzHfxwA8Id/+IfJSK6kJJBOHmK0gIu81Ot19PX1JS4IQ5lchIUuB8/XCINOjLJtKE9hrRhrGVgrgudoOnXIImI5zVewuQ+0Gqg0qRRXVlb27D+JuD6iYtgn/MRP/AQA4Hd/93e7cvU1m1B/y+fzGB4eTpY4q9VqcM4lYVCb/KT+PQVRF3QFkOz+lMvlUCwWsbKykioPpHMSrICru2CzF20GpkI5DGuNqLVBfiW6EQeLqBj2GW9729sAAL//+7/flaVIIeGS7lQAg4ODqWxKpjDbqdQ8186FADZzB4DuZCWduNXLXQgJdog/0HCpnabNevQ8m3oNbKZZRxwcomI4IPzUT/0UgLaLwVAiU55VYCn4uogsJ2hpKjWAxBLQPAm7AjSToxgK1ZGZC9Dq/Aygeyk5QnkLDXVa3qRXeFZTwldWVpIozNLS0pb7ekTsPaJiOGDQxfijP/ojAJtpxro3hIYadTo0Jyvppi1qLdjJVxRO+vMsb9eAtDyAbRtI7xmhBKPOzQiN+qrEeI3NZhMLCwtJaPbChQt7cq8jto+oGA4JSFICbSuCJCTJRuuLa3IQLQgdrXWZNvX/OTFpbW0tmcNBJaBhQv0eynHgZ7Zlcx4AJKFUXY9CFQ8Vwfz8PGZnZ5OcjIiDx7YUg3PuzwEsA2gBWPfev9k5Nwrg4wDuBvDnAP6h937etZ/cZwC8HcAqgH/ivX9p97t+dEErAmgrCWY9qjVAy4JhTYYuLZGpCkFnK3KlKAq8rqikLgKhwm95Bm2HE8kGBgaS/R607zoFfXl5GcvLy5idnU12oIpp0IcDO7EYftp7Pyvf3wPgs977p5xz7+l8fxLA3wVwb+f1YwBmOu8RNwAqic997nNdS5/bkKFaC5bgo8vALElgc9S3mZAcyXX2J90KjSSEXs45lEoljI2NYWFhAcvLyymLRbM55+bmMD8/HydKHULcjCvxDgBv7Xx+EcDn0VYM7wDwW749vPyxc27YOXfSe/+9m+no7Y6f/umfTn3//Oc/nwg7lytT94ORC82dYJ5AqVRKrQVJxVAul1EqlVCtVpPdoXQTHC49TwsjxCFwc1oAWF5eRrVaTW1qMz8/j9XVVbRaLSwsLNyuy7gfemxXMXgA/8219394znv/PIATFHbv/fecc8c7ZU8BeFXOvdw5llIMzrkHADxwM52/nfHWt741+fyFL3whlQ2p07X5TjeArgdnaeosTmDTuiiVSskIT6WjWZsa+tR1FOlWrK6uJqsv0UKgwuGszqgUDi+2qxje4r1/rSP8n3HO/a8tyoaW8ulaybOjXJ4Hbu0NZw4D3vKWtySfv/CFL3TNqNQwo+4FoUqBJCdHd7oVq6urqbCo5Sy4iQ2QXiHKLmXHVZ+j23BrYFuKwXv/Wuf9inPudwD8KIDX6SI4504CuNIpfhnAXXL6aQCv7WKfI7aAKgnF1772tYRA1PBjtVqF9z5ZVp4mP12MUqmUuCeqHJaXl3HlyhVUq1VcunQJQHtXLhs61YQnlos4/LiuYnDO9QPo894vdz7/HQD/P4BPArgfwFOd9090TvkkgIeccx9Dm3RcjPzCweOHfuiHuo699NJLwXwETZritm71ej21tsTCwkJqv0gA0TU4QtiOxXACwO90/NUsgI967/+rc+5PAfy2c+7dAL4L4Bc65f8z2qHKV9AOV/7TXe91xK7gTW9605a/f/rTn052gWJoky5CnOR0tHFYNrVdBvCtg+7HNjEGYPa6pQ4et0o/gVunr7dKP4FwX7/Pez++nZMPS+bjt/w2d+E9aDjnvnQr9PVW6Sdw6/T1VukncPN9jQu1REREdCEqhoiIiC4cFsXw/EF3YAe4Vfp6q/QTuHX6eqv0E7jJvh4K8jEiIuJw4bBYDBEREYcIB64YnHM/65z7lnPulc4szYPsy2865644574hx0adc59xzn278z7SOe6ccxc6/f66c27rpIDd7+tdzrnPOededs590zl39jD21zlXdM79iXPua51+vq9z/Pudc1/s9PPjzrl853ih8/2Vzu9370c/pb8Z59xXnHOfOuT9/HPn3J85577qnPtS59ju/fe9ps/uxwtABsB3ANwDIA/gawDeeID9+UkAbwLwDTn2AQDv6Xx+D4Bf7Xx+O4D/gvbckPsAfHGf+3oSwJs6nwcB/G8Abzxs/e20N9D5nAPwxU77vw3gnZ3jlwBMdT7/MwCXOp/fCeDj+3xf/zmAjwL4VOf7Ye3nnwMYM8d27b/ftwvpcXF/E8Cn5fs5AOcOuE93G8XwLQAnO59Pop1zAQDPAfhHoXIH1O9PAPjbh7m/AMoAXkI7VX4WQNY+BwA+DeBvdj5nO+XcPvXvNIDPAvgZAJ/qCNKh62enzZBi2LX//qBdiV5TtA8TUtPLAVxvevm+o2PG/gjao/Gh62/HPP8q2hPtPoO2lbjgvV8P9CXpZ+f3RQDH9qOfAD4E4AkAXGji2CHtJ7C5FMKXO0sYALv43x905uO2pmgfUhyKvjvnBgD8RwCPeO+XnAt1q100cGxf+uu9bwH4YefcMIDfAfDXt+jLgfTTOff3AVzx3n/ZOffWbfTloP//XV8KQXHQFsOtMEX79c60chy26eXOuRzaSuHfeu//U+fwoe2v934B7ZW+7gMw7JzjwKR9SfrZ+X0IwNw+dO8tAP6Ba69v+jG03YkPHcJ+AkgvhYC2sk2WQuj06ab++4NWDH8K4N4O85tHm8T55AH3yYLTy4Hu6eW/1GF878M+Ty93bdPgBQAve+//9WHtr3NuvGMpwDlXAvA2AC8D+ByAn+/RT/b/5wH8nu84xnsJ7/057/1p7/3daD+Hv+e9/8eHrZ9AeykE59wgP6O9FMI3sJv//X6STz1IlLejzah/B8D/e8B9+XdoL0HXRFvLvhttv/GzAL7deR/tlHUAnu30+88AvHmf+/r/oG0Ofh3AVzuvtx+2/gL4GwC+0unnNwC8t3P8HgB/gvb0/H8PoNA5Xux8f6Xz+z0H8By8FZtRiUPXz06fvtZ5fZNys5v/fcx8jIiI6MJBuxIRERGHEFExREREdCEqhoiIiC5ExRAREdGFqBgiIiK6EBVDREREF6JiiIiI6EJUDBEREV34vzNoGrytjMRDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c32b945f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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C6lrQFVAFwdJxnG+hpeijqLOQrs3JYFuWXwHgn9f8/DzeeOONUAFq9xEqOO00zp07h+HhYZ/J2NfX510EjpxR1FnNSdd80FGYk6QajYZv1woQhZVZjZacZDpzNpv17dfr9ZhiUDeDyocCrfyEZioSVEhUVDpVm4pBsyUZ1rQzLvUaVAr6THg/jUYDtVoNN27cwOzsbCgwu7sImY87jSNHjmBsbAyFQsEnLVliDej103WWI4WJ5+hn7ifUWiDUPSCPYUOTNiLAUV/NfFvizZr+mvXINghaPeqeKL+iBKdVarxftTpoWY2MjKBer9/JTxSwgwiTqDaBRx99FEePHsXw8LCvzaijM7AmmJaxV8FWgdPoABDPirSRAY66FKZWq4VGo+HfVQBt7oS6H0pQEpbLUOtBIwvaJq/Ftvgs1K1iO6o0eH1VOCRni8UixsbGQv2GA4JgMWwCo6Ojvqy7znsA1vxyTokG0CPUAHr28bNCTeykCINOlNJZjKpkbC6CXkf7o1xDUlKUugBWwSlnYIlLJSN1TQpVULy+PqdUKoV8Ph/mUxwQBMWwCYyNjfWE6ID4CK2msxY6SQo1Ar1ZgeuFF5UE5H62r0JsicikhWn4nde3qczKLWg/qXjsGprqJmnfCBKNVsnovXIb51IUi8Ut/z4BO4/gStwGzz77bKw+YxInYN/tAi5AvE6iHqejsQoLiUdL6FmlwOtQgDlKq59vQ5iWj9D+cbtGF6g8rHtk+QZ7vk0N53beG/vJ+8rn8xgdHcUnP/nJbf9eATuDoBg2wGOPPYbx8XFkMpkY2w/EQ4g6igLosSJ0vyoB61aoNcJIh1ZrUsLPjsC0ZqzZT2uC17TX5rlWCeh1klwfq1zUTUm6ryRFx2tpKLe/vx+FQgFTU1Pb/dkCdgDBlVgH586dw+TkJIaHh3uYe8KmF1thTfLtVUjVTVDzn5yFFVyeZ0d3W4fBui128pZWjrawLg63qVKyz0GVj20HgJ9hqUogKaLD+83n8ygUCon9C9gbhDyGBJw5cwbvfve7MTY25qs5M6Zvi5EAcWFSv50CrS5Dq9XyeQc8V2cvMjPRuhUq9Ho95hEw0qH5D0y0spEB7beSmCr0vBc9xxaJTQpJWquFlsDKyop3c+xz0xDpysoKyuUyZmdnMTMzE4rI7izuzTyGUqmEXC6Hp5566o7aGRsb88vQJxFlFpYItH94KhU9nu1pXQWNeKgi0IlQ7A+PV+6g3W57pcPvet31+q1t2ntQayfp/m0uBs8hf6DbktqySpWJY/l8Hvl8fv0fKWBXcVdxDCMjIzhy5Mgdx8KLxSIKhQJyuZwffTkyA8n+NYAYqZbEK1DgOJJnMhlkMpmYqW7JSApTkgDqdahkcrmcbxfojMCanajciKZOqwLU+1M3R0lNdYXs81DeQ+dmMJmJ17CKi9dKp9MYGBgIEYp9xF2lGFqtlq8ytF1MT09jYGAAQHxSE9A7UQhAomDwWMJGHTgVm4rE5kYA8clHVsmoolEBZX9IWloLRPul4UobrbCcgt4vr2H7lfQs7POwfIhOrtJrM+kpm83i7Nmzm/7tAnYOd5ViYORgI/P5duA0aiC+8nNSeFD/0NyugpiUAKSuAdAbbdD2gbjboedZk95aJZr1aHMaNFJgzXnlINRK0Xbtsdqm7ZuGPnkfdm0NqzDY7+BO7B/uGsVw4cIFjIyMIJVKbXu9xLNnz2J4eNi7EEnCp34ytwG9qcJAfERXAo/CoQpBeQQ7grN9O6LbCEEURTHOwloOGtLUKlKqvJSf2EiJ6L0rdLalzd3Q9ql07fPSiV2FQgEDAwOh5Pw+4K5RDFwPMpVK4fTp09tqI5fL+dWnVSAU6xFrRJLJDqyNuLYWg7L+SdYDP+uIa8/T61rXIEnhKO9h78siyc2wsC6FFsLVviedq0rBtplKpZDNZpHJZEJewx7jUEUlzp8/j2eeeaZn++OPP45jx475P974+Dimp6fRarX8LMS+vr7bzvcn6ahMvQ3BJQmQHV3XE14lJ6lcbHjSTnSi62H9dbat5F5S/1RRKZFouQOGMy00TJuEpAiG3qftg4Xeq+UlOCGLRG3A3uFQKYaxsTFcvHgRCwsLeP755/GpT33Khxb7+/vRbDZRq9WwuLiI5557bsvtcxk5hU3GUYGyQsA/tWYrWrM9KZ9A/fekUuy8lo1CqLDTGuHCtypw6srY0V/zDew5SWSh9lfvO6lN5UQIVUD2HlU58rnm83kMDAzcMakcsDUcKsUwMjIC5xwymQyeeOIJjI2N+XqLc3NzWFhY8EpjqyiVSr6YKwULQI/wqUDoNi3lpsKpysKa+JZM1EgErw3EZ2YSaklYU90SkTaqkOQOsY+8F3s8sGY96DXsaJ9kXamFZJWKnpt0L0n9D9h9HCrFUCwW/fTcZrMJoPPHqdVquHnzJhYXF7ddASibzcYm/egfWFOfddQnbNIOl5MHkidUJQkFP2s7mhFoLQYer9aLRjycc36mpSUYbfakfVdzPmn+hd6HVRbaH26z62LqcyMhqs/MkrLKlQTsDQ6VYhgcHPTTc1utFhYXFzE/P4+FhQU0m807Kgs2NjaGdDodUwiERih0uXgKq622pO7CesJsj9f9dF/oguhcB15/o1CfWiSqwHiOTlgC4paJplTzWHVbtO96bVVgahGwnJ1VgOyr8hfsM5O+APhy86G6097iUCkGBf3p+fl5LC8v33F7AwMD/g9pCTz989tRzQor0Mvw2+3rJR1Z8jBJ2PS61gpJynOwE7BUKST10wr8ysqKJzit5cE2VdCttcC2lMPgdvs8STZms1mfsclMyPUmfQXsDg6tYgA6mY7VahWXL1++o3Yee+wxFIvFHnPVug0qAJqmzOiA9ZPVJbFzKIj1THheX6+n/dG+Wl9e/XO1LLSIi3UD1B3RNtcr+KJ9s/1mm5qXkOS+kDBlXwYHB1EoFBBFEZaXl721wrBlqVS64986YHM4VI6bhvIseUdsJ4dhZGTEz6LUqACF3yYHqQvAPy6RFAkA0BOWVFhSTu9LC6jazELriiRZFWqqM7+A1Z1VKVh3R/frdioLW7NSLYN2ux2rS0n+QOdG8H64ZN1b3vIWTE5OIp/P+77w3hmuzOVyt/0tA3YGh0ox1Ov12KQgcgIKG27cDBimtEIPIPZn10gEoUKqo+N6ZB2PVbbdugDaps1hYN8suWfZfGBN+KxC0aK0NuTIY/WeLalp7ydJEak7ovfKa9AKGBoawsTEBIaGhlCv1zE3N4darYZGo+E5FmZv5nK5bSevBWwNh8qVqFarsT+oziLcLkqlkic1k8xihTXVdQTld6A3fm/Nfroe9LG1PXU/bNYiz1euQlOIbR/UPaDQcqp2Uso3z7NzRGweh01qUmuBZKP2Qe+dUR9WxSoWiygWiyiXy1hYWECtVosRu3p/uVwuhC33CIdKMdy6dSvG1DvnMDg4GDtmI8FOAudFqKkOoIctZ9v8s9IspwWjDD7PsdyD9jup+tNGac521AXQMzKrq5PECVh3xnIYSjKy6jUFXedgWD5Er6lhU5r+fJZUCJoAtrq6iqWlJdy8eRPNZrPHreI9cnGfrf6+AdvDoXIllpeXUavVUK1Wsby8jEqlgiiKYvUXtjqzkqO2xuL5x1Qrwo6gSaOizWq0xWPZPpEkyFbwdcS3AmktHNtPfrcREJusxWvxXathWyVERcjchFarFRNo5YA0IsL7ZT+5vdFooFwuo9lsxiwlS+Jadyhgd3GoLIZqtYpMJuP/8KlUyq8DSd9zq4kw5BZUoFVIgd4c/yQ/m6AV0Wq1ekJsSVEDmwJtw56aR6BRAJv4pO3p9Wwas01DXg/KY+gzTXIVrBVhCVleizUWSDi2Wi0sLS2h2Wz2/G56HVVEwZXYGxwqi+HSpUtYWFjA4uKiT3/+9Kc/jStXrsA5592CraBerydaBdanB+KmvWbyWZOfUKHVMurcTqWmFovyAUA8TZnQ63K/zVfQY4HeBW3tsco56HFqcVhuQfMTVLFa0jKbzWJiYgJvf/vb8Za3vAX5fB4rKyuo1WpYXl721oJaJdaSarfbaDQaPWRzwO7gUFkMQEc5JOHy5cuYnp7e8ohSq9WwsrKCXC4XcyGSirRoqI7feYwVZCUE6auzLRVoWgi8tlU2NmqxXshSR9OkfAyNqKiw0+RXRad8QyqVivn99rrWNbKuGdtgunm5XMatW7diCpH3n6Qk9X7IUQTsPg6dYrgdOIdis7hy5Qp+93d/1+cxAHGzWwU4aXQFEFMmNmphQ30k3LRNJQZt0pQKsl35iW2oslIT3iqaJNcAWDPb2W+9Z538xWer5CGfl/ICPIcWkXPOV3+mhUAy0eaNqJWl13Gus8J3cCX2BneVYlC/dCuwGX+6zZJ0SSOlEm7cbjMdb/eHtqE9HSXpWiRxHnY1KF7PRhDUXVJ3q7+/P2bN2He1KGyIUq0afRZ81+s1Gg3vMvCerFugz84+D+YyhNTovcGhVwyMSNjKSFuBNV2B3olN1kLgu/6ZkxKB1NSn8qAVYNl39af1XO2PEopKNqpAqvBb4bJ95wi9nnCrYtT+ad/UktHnaC0tdV30Odh+apIVLaD1Ml0DdgeHWjGcPXsWk5OTyOVyPltucXFxy+1oaXSgtxKRmsxqRdhRU318TV7StoB4RiPnL+gcCEtgaghP99sIB6+jAm+tGJ6n51jhT7JwdPGZJBKSrk4SSUkwWmE5E2tdaWamdS8C9gaHWjE451AsFjE0NIRqtYqFhYU7nmlJ394KchKxZwVZhcyWZmcFIjvZit9VSK2wWEsiiRTVviWZ6qpc+H29KIoqw/XmU+g22y/Nz9Dr6nPStlX4rSJRXoaZlQG7j9vaZs65nHPuL51z33bOfc8590R3+1udc191zv3AOfcHzrlMd3u2+/217v77d6vznFiTy+UwODi4rXkSQJx8s0JmowN29NVzKCTW76eQaJYkoaO0RVJIVKMlNvmJ25QE1FE+yeLR/rE/vA/rHq2331om+tzs87CWiU7WsklRfObKLQSOYW+wGaetAeDnoij6cQDvAfAB59z7ATwD4HIURQ8AmAfwse7xHwMwH0XROwBc7h63K0in0z53IZvNYmBgYFvKgbP/aA4Dcf+Yboaa8n19fbGVlVTgmE5sYWc16qjK++FxanXwWF7TLibD0VRzIKw/byMj65GH1grRVGhVQqoE7T47kYrKRUO5mhJuIydqORF6LwG7j9s+5agD2ufp7isC8HMA/nN3++cA/EL384e639Hd/z+57TCCm4Cazs6tLf221Rl4dmROSnlWJWGJOzuaW9JQl7TXkVKvaU31pG3cDsQtFiU1rWvAY9g/W6bOmvzab2vx6L1ZTsWerxYJ27DVppOuy+3WItHnFrD72JT6dc71O+e+BWAGwJcB/DWAhSiK+CtdA3Ci+/kEgKsA0N2/CGA8oc2PO+decc69stG1n3zySZw7d65n+5kzZ5DNZv1IAqytqJxOp3H+/PnN3BoA9Ix2uk6lZcNVqPmdwq/+ti4sY0lMWg02f2C9a+rIqv1IsgysMFpFomFM5Q+sslDYZC++LMmqVol1y7Qvdg5Kkiujiqfd7tR3CBzD3mFT5GMURasA3uOcGwHwRwDenXRY9z3JOuihlKMoegnASwDgnFuXcn7nO9+JarWK3/zN30Sz2fSCPzIy4hee5R+oVquhXC7j8uXLKJVKOHfu3LqZkopyuYyjR4/GBLLRaHiT3bm12ZB2DgCAHmWgo133Xr0g9PX1+T+5WhM6N4Ft8Vwl72yYU+cQpFIp72oob8Hno/65zbuwCkEJQuVGrNVkrSltP4nP0OfA+yOSuBfmUDQaDVQqlVDBaY+wJYctiqIFAH8O4P0ARpxzlJKTAK53P18DcAoAuvuHAcxtt4PZbBaDg4M4cuQIjh49isnJSUxOTmJ8fNzXUaDA5vN5nzJ7+fLlTfujSSFI6wtrlp5lz7vPpoeo5HarIFQR0HpgNMSa4zrCWwJR/XaNRKzHHVjXQF2BpPoM7J9aG0mWEI+1ioLX5T0neZTWOlDYe9rqzNmA7WMzUYkjXUsBzrk8gH8E4FUAXwHwi93DPgrgC93PX+x+R3f/n0X2H7cFsEAowUgB1GxzAAAgAElEQVQE/5j+Rvo6NQOPHj2qfd8U36BVofhHVEGyE5g0vq4jq4bf1N1YTyDUBdJpx7RSLG9gw6NUWNymJn8SF8Dvluzj8Zbz4H1ZF4dcjp3AZfkSJUjtM7D8hPYhqd8Be4vNuBLHAXzOOdePjiL5wyiKvuSc+28APu+c+zSAbwL4bPf4zwL4986519CxFD5yJx3s6+tMY65UKqhUKgA6xVVGR0eRy+W8uRlFEbLZLE6dOoXf+I3fwOLiohe228HOcQDiiUVaAo190vkOwNoUaY0QAIgJP8+1IyHbaTQaPaOrjtDOOV+1mddTXoP9Zn94PX7nS7kFm+7M58F2VWg1uqD3oa4B27W8iFpltJb4u3G7hj71OJ5/B+NLwBZxW8UQRdFfAXhvwva/AfCTCdvrAD68I73D2ijZaDSwvLyMer2ObDaLKIpw5MiRWHiR7sTExATa7TaWlpY2NeqsF41I8qeTFI1lz9V6IJImTmnNyv7+fs89aF94/0mRB82GpCuio65aAOpGJBGMvI8oWpv2rBYRAL9KlwptKpWKWUeWp9DIkS1oq0qHv6G+s+8rKyuo1+thbYk9xIEPCtfrdTQaDayurqJareLJJ5/EjRs38Oabb3ohsgkyg4ODvvLzZhahoSmfxOjTLWDEg0JPoSRHwH6oS2IjHGyXfaU5TpKTLxsF0T5o7oIdRZUT0P1WIdmIhx6v7pS1clTJkjhNp9NeIVl+Q6+zEcegcy30OuxDvV7H8vLyttYjDdgeDnxK9PXr15HNZlEoFDyx+OKLLwIAnn32WZw8edKvRcCRMZfLYWJiAkCnnPyVK1c2vIbOleCollQnQCMFZOnV/LX+uAolhYucCV0gNbFVeJQ34HfLHyjUmlD3gcfbyAHbTafTMbeE59lJadzG34GKks+Ai8SolcFnwLZsRIfPnEqGikifJxVDrVbb8DcM2FkceMUwOzuL4eFhHDlyBENDQ7F9c3NzGB4ejoUs+efnn9gWi02Cjno6ggLoEQ47SqsJrUqCSkDzGzTnQi0HzSBU05vvVsBWVlZi/rle01oI6mrY/tl70ZmM7GOr1YopkyiK/BKBVJCWx9DfgVC+Ru85iey1CoyWWsDe4VC4EjTXbfixVqv5iVM2DRfoCPzo6CgeeeSRDa/BPx9NV/4Rk/IRLKOvgtDf3+9L2mcymVipdiUQCctXWGvBMvRW8FRhsU+qiNQKsIy/JQ91u9Y+oLvDY5lLksvl/LJ+6mqotcDr6gri1vXR38BGMoBOujrdqIC9w4G3GDjCvf766z1Tqp1zmJ+f94VXuYw9R9N0Oo3h4WE0Go0NlzdrNpu4desWstks8vm8X/mIpqwm6/C67Bu/M6SqoTs7ylHwLLnI84BeC8Gma6tJruFLKgIlB9meWifabzuDVCMC3EZriopyZWUFi4uLcM4hn8/HXJxMJoNyuZxI5NIVs8pWoy9EKpXyFokq7IC9w4G3GCgoq6ursbJtU1NT6OvrZBGWy2XMzs76+o1aozCdTqNQKKBYLK57jStXrqBcLnvewI7WyqZTUNU60IlNQNyd4Qhoy7RZ2JHUMvXcbr/zOmpl6LmW1NPzrQVkXRA7wus1KpUKqtUqgI5CGBoawuTkpE86U7dF+6vKSftkXTYiKcITsPs48IqBox9XQT5//jymp6cxPDwMoBNRaDQamJmZwc2bN7G8vByboNTX16lSnMvlMDU1te51nn32WdRqNb9GAhWCZgTaGL6mMxMaWiSSRmIem+SXq6vCZ5BECAJrgmOFR0ftpPb0ehpqVc5E+6w1KmjJ1Go1tFqt2FJzIyMjMcvAui1sOylSw75ZDkcVSsDe4MC7En19fZ5EbLfbWFhYwPPPP5947Pnz51GtVnHs2DEMDg76PyxH63q9vqFL8eabbwIAxsfHe4q1KHFIc15NeR0dNUxIl4J9UOGw5vtGqdncrp91eje30VrSJCFeT0OW+lJLxCZu8VxeQwV8dXUVy8vLSKVSaDQaqNfrPrdB3SAV7Ha77XkD9tGmmit/orkVAXuHA6+Gmb2Yz+eRy+U2NCufeeYZ3Lp1C7Ozs1hYWPBrXbJWQ7FYxPDwMM6ePZtoPehIpqM6rQOdPg30svCac6AjvCoFjQqoErCZgfrO9tmnJB9dhdxu10iIKiY9T79TMG3Yk5/1GbXbbTSbTVQqFczMzGBpacnzCXSjVJloe0n3o32wORkBe4cDbzEAwNLSElZXV/3iMADwyCOPYGVlBVeuXInlKjz33HM4c+YMKpUKRkdHcerUKb94arvd9qshrays4Nd+7dfQaDS8sA4ODmJwcDAW/tRsPysUQFwg1eTnMUmCz306Mtooh00PVoHXLEctMgtsXHpOr2tdB9svtrseT8FjkpSb3qu2q0SlumhqiVjXp9FooFarbSpRLWDn4JKIsD3vxAbTroFO7QXnnFcEm0GpVMLAwAB+9Ed/FIODg/785eVlVKtVn03ZaDS8nzwyMuJdEI701p1IAv/smgHYva9EBaACY0OelrDTdvR6lvVPIjYtIakWAEdkftYZn7YNkr66FifPt2FPtZis5cPfQPMS2C8lLNl2pVLB66+/jrm5uaAYdgZfj6LofZs58FAohu3i4YcfxgMPPIDjx4/7oi5c36DRaPisOsblh4aGfHjOzurkc9Kwmh1x9c9tR365156RVMFzNR3ZTonW9tlmEoGn7gQVkLoJKpy8Nzuhqq+vz/fFWkKalUkLQu9ZQ7BaI4IL4Vr+g6ClUC6XcfXqVTz11FOJv2/AlrFpxXDgOYY7wYsvvoi///u/x9WrV7G8vOzzHVjjgbzD+Pg4RkdHfT2HpHRkcgs6qlmsNzdBayZYISZUYVh+w86LUAtGCTzbBwqrhmEtQZnkvgCIcSnr9VsToZREZFskGYFezkatE800pbXQarVQrVbDxKl9wl2tGIAO53D9+nXcuHHD5/bzT69hULu0G90BzYDU7EsrpCpU1pKwJr2Ojnq89cf1OknHs4+a7mzP0dRjvT97XFIUQ6+h5+nx6qbwudkJXJrMlZRJau9Lq0aFik37g7teMQCdHIXXX38dS0tLMRNdS6Gpea/5CkBcCdg/Mrfbl+5PMpV1ZLYEoW0nKXlJR1p+VgHlcRpNsREMe0+2j+sRrWqp6H6bv2GfI9vlOcp5aD+iKEKj0UCj0Vj3Nw3YXdwTigHoKIfXXnsNr7/+OqrVaiykZkdGHWE1KmELsCQRk+pKqDkPJNc7ZJtahyHpPCuMNkVbzXNCBVbNdYLWk+630ROeT5fGPoMkopSWg62ETSQVrtXnxUgEMysD9h73jGIAgKeeegqzs7OoVCreXLWTpZKiAkDv6KemsioPILmqMpFkGVjFBKz573qcujjaR2sBAL2ugJr6liexfbTPw/abQm9L3rHf2gceoxmjbE/dC3UjWJRlsyuXb5TRGrA9HIo8hp3E0tISFhcXUSgUeqZA27kIhOYKqCnM85WNBzZWBvpdBVfbYqYkYSMMmimYtFK1+v3rcQTKa+h2bZv9sa4QrYcoirybYjkFXXqP5yS5JtaioGKo1Wq35RdKpRJGR0fhnMP09DSq1WoIa+4Q7imLAehUj56bm8Mbb7yBGzdu+NqQWhBWax5aQi9pZLbvHPlUMGwY0LoEmgugoT0d+a2bYEk/SzpqiFKVlnIqKpi0dBiqtaXc9J3QtTFsRMRaAjZjEoiHMplBWS6Xb1uY5dFHH8Xk5CT6+/tRrVaxsrKCdDrtVz8PuDPccxYDAFQqFV/shEVgMplMz+hJaBag+u1Ab1RC5wVY85s8heZCsJqTvUZSiJDbLQFplZSGL1XZqPuhpj+/01pZj6hcL7KhFhX7pyFa7Ye1WrQNKoZGo7FhItujjz6KiYkJrK6uxhYWKpVKiet+BGwd95zFAHSshkajgV//9V/H7OysL/SiPAGhboZ+tr4xBSgpygD0Zg1uZFZbHkFNbcvkq0AqNiIsbQQgqUhKEmmoba+nIDUZisphvVCufmZS0+2Kvp49exYDAwMoFAp+BXGCa5kG3DnuScUArAnkpUuX8Nprr+H69et+yrVl3TXZR7cDiK0qZS0O/ePrCGo5A2BNwHhtknsaoVB3gKO7Kgjtp7oeSlzaoq+EDVtaAWYfbRjXugpJRWoJkpbWJeIU7qWlJSwvL2/IEzz77LO4desWGo1Gj3WgdUED7gx3dUr0VnD+/Hm85S1vQT6fj1VxYpqwjrw2QkCowCsRZ0dobUNHVBVmrenI49Uy0exFNeHVv9fRn1O0lQ8A4iO+hkcV2k+bjcnteowNjepcCF3rg/1ptVq4desWFhYWsLi4uKmkps985jPIZDKYn5/HysoKMpkMBgcHUS6X8elPf3qzP/u9hpASvVU888wz+OEPf4irV69ibm7O1zbUytEbhQjtfpvdZxWBDRnaCEVSXgTb1crK1v+3JOV6VkwSh2DdjKSwrSUVlQ+xbSkJm2St8JiVlRWUy+UtrU05NzeHxcVFr6zS6bSvDxFw5wgWQwIuXLiAd73rXSgWi7FiqCrUKuRKsgG9kQprNagLYHkHqxysYrGFVOz5tAy0j0kEYFK0gu/r8Qpqteg1+VknU2kylK2Dqcqi0WhgaWkJr7/+Op599tlt/2alUglDQ0Oo1+ue/Gw0GiGlOo4wu1IxNTWFbDbr/e96vX7bP8xLL72EkZERH7bjTEvN+weSi6gSKpxJiiHJkrDMPZHkVvAzBZ/L19E8T3J/bFuqGFTJKc+gCk4VpLV+mKtA64B8gkZJdEGearWKpaUlzM/P+wIvXDNkq2BOQyqVQiaTQbPZRK1Ww/LyclAOa9i0YrjrYztTU1M4evQojhw5AqCzvP2tW7c2da7yBPxuFakVbmstrPeuQqoCbKMI9hqWP7BtKtmp23gOv/N8bce6RlaBsR3dZl0e7Y8+I53hCXQqcy0sLPichSiKtq0Uzp49i1wu5+tppNNpVCoVLC0thfkW28RdrxhOnjyJEydO+IVnms0mCoUCpqen17Ucpqenkc1mY0vI6VwBK4DqY+s05/VmVdqZiGxHBW2jLEoKmo7gKry8huUBtF0d5S0ZSZMfiFeh0mnohN6btaRoPdjZlc1mE+VyGfPz81heXt508Z31MDg4iGPHjmFiYsJHJTiFPqxgtT3c9YpheHgY+Xw+lrQzODiITCaTGC8/ffq0r+JkBcD69rrmg7oNPN5mNdLUTnLftB1+t2XbAGz42RZeUaFlVCDJUlHFoecRlndIUgJ6z5ag1M+tVsvnKlQqlTtWCrz3QqHgl9sDEFtXM2DruKuf2oULF/wiNEQqlUIul0OhUMDCwkLs+EceeQQTExOYnJz0BVuAeEjPpvLanACb2APESTpL4OlaFEyy0urP3AesZWCS0NO2VWGpNWAtCYVaAdqecgU26YtWjlaB5nZddJft8LhWq4VWq4Xl5WVUKhVUKpWecO92cObMGRSLRZ/DYK2knbjGvYi7WjHYkU3f0+k0hoaGcO7cObRaLaRSKRw9ehSjo6PI5XIxAU/yn1U4FdY8t/679ku3k0m3/IIebwnO9Xx6G1a1hCm36z57j0lRFrtNlaJVgtqGRiDIKaysrOzIhKeRkREMDw/3rMDVbrf9gkABW8ddrRiiqLNiEkvP9/V16hfWajW0222/XkUUdZZiGx8f9yapmvBKuFGANhIy9f/tiGVJRCtAvJ6a4aqA6BbYaIbut9djP/RYjSwkPTcewyiCPgv2ixOotE2bAbqysoJms+nrbC4vL6PZbCZedzsYGxvDwMBArKwclSzXFQnYOu76cOVjjz2GYrGIXC6HsbExtNttXL9+PTb5hse9/e1v92XeNLwJ9FZRslEIO9JbbsAWa1FTHejNiCSoaAgKgLVW1JVRc9pOLSeByvux90WugtubzaZv05KvvFfbP94bz6OlwCjEZsLFm0GpVMJDDz2E4eHhWMEZfQ6Li4v47ne/G7IhO9j5zEfnXL9z7pvOuS91v7/VOfdV59wPnHN/4JzLdLdnu99f6+6/fzt3sFO4ePEirl+/jqtXr+Lq1avev7WwGXNqBdgRXY+xWX86Quv8gSRYobXvlswk7Ohti6NYv9+6NHYqNc/TPAqrnDQ/QXMTlOTT0KfyM7TAaK3tVF5BLpfzpf712euzyWazKBaLOHPmzI5c817BVlKipwC8Kt+fAXA5iqIHAMwD+Fh3+8cAzEdR9A4Al7vH7SsuX76MS5cu4datW756k4UuUMs/OZAsnGrC6+Qmkm3rhRht6ND6/VqHwZKaFGjut+tVJvXRcg3so+6nRaLXVFirCYiHUqlIqEDJzWgtTVWu24lCPPLII4mCPTw87OezJFkLqpg3WsEsoBeb4hiccycB/C8Afh3Av3adf9nPAfil7iGfA/A4gN8G8KHuZwD4zwB+yznnogPgszSbTaRSKdx///04f/68X4VqfHwck5OTKBQKsRE4iZyzZJ5GCmxxFvXjtR3lLNTktqXSOKKv525wv5ryVvGowlB3RxWEXbdCFZJaAST07PlsX0Oi1o0qFou+fsIzz2xtrFhdXY1ZGRcuXMCxY8dw7NixWPTIYmVlBUtLS7hx48aOhEXvJWyWfLwC4BwAMjnjABaiKOI/8hqAE93PJwBcBYAoilacc4vd42e1QefcxwF8fPtd3zoymQxyuRxGR0fx4IMP+kVYh4eHMTAwEBvl7ahOQdbcBY6QPM5yD/pOodFZkdzWfR6xdpW8UwvEui1AvPScva5VJlY/34641P3W2qBSUwXI/usIzs/FYhFjY2M4d+4cLl26tO7vdP78+diIn0qlMDU1hVwuh8HBQRSLRRw9ehT5fL6H9wHWpsLXajXcunUrKIVt4LaKwTn3TwDMRFH0defcz3BzwqHRJvatbYiilwC81L3GnlgT/f39niEfGhryS9clLWcPrBGOduKSzTGweQRJiUyWfGQFKSX/lOVfLxRqBdwqJz3WYqOY/nquSFJCVlLY1CZbaT/JMwAd87/RaPgSbO12Oxa2vHDhAu677z7/3PlMVlZW/NqinBqvro1aXpyteevWLdy8eXPdew5YH5uxGH4awD91zn0QQA5AER0LYsQ5l+paDScBXO8efw3AKQDXnHMpAMMA5na851vAmTNnkMlkMDY25smqXC4XG2lsFIG5DTY0CKwt5aYKgSFKflZFYwWMbdL6sJEEIDmXwBKClnSjW6EujRVaIK6c2D/drveqikvrVlLJ2FJwNrwZRVFM8Q4MDGBgYADlctnPpnz44YcxMDCAkZERHy7m4kCMEmUyGQwNDcU4BfaDfanVaqjX61hYWMDVq1fx9NNPb/3PEgBgE4ohiqJpANMA0LUYHomi6J875/4TgF8E8HkAHwXwhe4pX+x+/3+7+/9sP/iFqakp/4di4ZVcLhdLk1WhsT6zJimpMCTlJej51q/XGo/W7LXzHJJcC2DN2iD5SChRyT5oFMRGHdSq4f3Yz3q88i2q1DQqYV0Vm4Ksz6W/v9/nlKRSKTz88MNIp9MoFAqYmJhAKpVCrVbDtWvXfLp6Pp/HwMAAxsbGMDQ0lGgJsf16vY7Z2Vm8+eabQSncIe4kwek8gM875z4N4JsAPtvd/lkA/9459xo6lsJH7qyL28MLL7yAixcv+nAa+QWOODRRgbU/NYXAhv+s0lAhSiLpdIS1SUQqyKoQVPDWCxkq/5Dk1mgfFZZY1P6qlaJ957XWc0/0/q0rlXQMz02n0xgYGMDg4CBWV1eRz+d93YulpSXcvHkTzz//fKz/Z86cQT6fj92DKlduq9VqmJ2dDYvg7gC2pBiiKPpzAH/e/fw3AH4y4Zg6gA/vQN/uGI899hh+53d+B0BH4IaGhrxS4Kw75xzS6TTS6XQsE5GjPP1jFUo193kMrQtL+rEdEmLqN3P+AC0bVqpWBUVB1siEnQuhURLLlViLwloVSSXkNPNS70cJRasA2DfdrhmX7EtfXx+Gh4cBwCvqTCaDN954A48//nji75hUYFYL2fB+WYNhI0xNTSGfz6NWq4U1KDbAXV/a7Vd/9VcxODiIQqHg/0ic4cc1DMrlMpaWllCtVtFoNPwqzTq3goKnUKHRCUXAmoBx1eZqtYrl5WVf8JSj4/Xr1zEzM4Nyuex9eEvukQ+wRKAVYDt3wboH7Jd+ttfidkum2na4TzkYtbT0+Wg7/JzP5306c7VaXVcpAECxWMTg4GBsQpftS19fn49YbIQXXnihh/AM6MVdPVeC4GhLS6FcLvsCHhRG+r/MsWc9BoVyBfqyGYMaYWi1WqjVaqjVamg0GrEZiJx+HEWRn+ptpwqTULS+tXITSiKyD7zOeqnTtu+63yoGVTyWU7Ht8hx9V+VFKyKVSmFwcBCtVmvDyMHU1BTGxsYwPDwcux9aH2rNDA4OYnR0FI888giee+65ddu0ZecDenFPKIYPf7jj2Xz2s5/FzMyMn8ij5B7Zb7oWhUIBhUIB2WwW+Xze12fQbL710p05cahSqXjrgwqAC6tQyO677z6Mjo7iyJEjmJyc9JGTcrkcszi4EItOhlKrhAKetIamCpCNJmjuA4BEV4HgsbSO1DVRRUXYnA9ev6+vz896zGQymJiYWPe340Q3/j7KKdhU9VQqhZGREczPz2/4f8hkMrdVHvc67gnFQFSrVSwuLq7LWDO2nkqlvACnUinPpNOSUD+ewkm02+3YikoKFcxMJoPh4WGcOnUKY2NjvgIRw3XZbNYrkFQqhVarhUajEcu0pDCyfsPKyoofDa2bQIXBc3TkTVJuSu7pnAzu02X82EdLZvI8uzwf26RiGR0dxcWLF/HYY4/19GNsbAyFQiGmDNfL3eDkt9tNtc7n82i323j44Ye3XU7ubsc9pRg+8YlP4PTp0+vuZ9ptqVTyo34URd68z+VyvmQY/4Cau8AXhbjdbnt3RCsmM1GHcXvmVlSrVbRaLR/HZx90qrISksCaAqCwUHnwmhxlVYHZ6Am3qSJQC8LO2bDn8jjChlkVSmASqVQKp06dwqVLlzA/P49qterXiRgfH48Jurptei1+5sSu9VAqlZBOp9FsNoNS2AD3lGIANjeJ5/Llyzhz5oz31Z9++mlvTVAAs9msz5xkOJTWQrVajRF/dEOcc8hkMjh69KjPqWBR1Eql4hn6vr4+vwQ8XQUlJlnlidYCKyRx5K7X675iNMudWR4EWDP1VZBsOTlN3CJUiWglJ7VQ1M3o64sXltV7IagkJycnUa/X0d/f7xWwPY/tE8qX3G7CVKFQwOrqKpaWlm77P7iXcc8phs2Cqyf39/d7KyOKIh9jP336tI8UMDafSqVi0QOO2LQanHM+FVtJQZKLJC3ZDrBGKNpcCmYTqkvQaDTQbDZj11OLQC0Yjq66WrUKthVA5Sh4bV6X+1XpqOthlYDN+dBrZjIZb+Xo6M8wrxLCqsCoxBuNxoYhy76+PpTL5VBS/ja468OV28ULL7yA5557DisrKxgYGEAul4v5yVeuXEG9XvcjVLPZRL1e9+4H3QaOeKlUCmNjY5iYmPDxe7oo6qtrnoOCwpXNZn1fVIDUtUmyCmyugX0lJTspwaiKwqYka16BHb1tLgTvRfto087tXAtdwcqSo9pvTpyqVquJv+mZM2fQbrfvaGGbewXBYrgNXnjhBe9G2FGGs/z6+/tx8+ZNn7DEegSFQsEnL506dcovYENSkZEBrcqUJCz2M01zHempNGy0QKHnkbBk8hb3K6lJYdNojI1uWMVhOQBtS4WebfNe6SKxj6urq2g0GqhUKj6/hGnRyjnofXItiSScO3cOQ0NDwYXYJIJi2ASSzM5SqeRDaKurq96vZ6YkXyQbJycnMTIygna7jdnZ2ZgAJs1psPF6IF4lWicmqdJQboMKSHMQnHO+HWD9grJW8C1sONNGHqwCUUuFLgy3t1qtmLVCpbCwsIC5uTlUKhU899xzePzxxzE+Po58Ph8LYSq3UCgUcOzYMVy8eDFmuRUKBbTbbSwuLm7lp79ncdfXfNwtlEolFAqFmBWgozGjGSMjI5icnMSP/diPIZ/Po1wu48033/RRC4L+NcGR3OYhMG2anzWvAoCfXckiJewXBQToXWyG3AavT+KT/AhNeFVQwBpXYHkJVQYaEVE3gBbDysoKlpeXvfVEsrVWq2FmZgYXL15MfO6jo6NeObAPyn2wj9pvrqpdq9V89iv7dY9wDmGJut3G5cuXUSqVkMvlPGdAnoHFVTKZDAqFgi9BBsCHIW0I0ZJzWjKO4HcqA466GlWgSc7+APCkXFIhVyUCdcFZK2DWVQB654poMhNBpWV5Ds114AQo3ler1fLWTtJzBzrFXGq1ms/7IL+ipeW0j7SSJiYmfJSHmajNZhNTU1MhTVoQLIY7xIULFzA0NIRms+lHa460ExMTePvb3463vvWtmJiYQLVaxczMDBYWFryJruFBa55b0g5YW89CWXsNh1IxAPBrODD1Wl0I699rkRi6Q4QlDnW7/a5WgZ0urnM7eH8kDGdmZvz9UpEtLi5uOFPy/PnzPhmMBDFDnDrpbL3/OJVSs9nE7OwslpeXUa1W72brIVgMe43l5eVYiJF5Cn19fWg0Grh+/TpqtRpWV1e9CwAgJoA6kisHoQlHKmA6ejMHQqMcXJmJJjuAnoiHWiZKbirXoQqKnzUaoX20UQhVFnp9dT+y2SwKhQLm5+fRbDY3PZeBtSNPnz6NhYUF33dGfNSi4vOh0qCVQcWSy+W8C/P888+jWq2iXq+j0Wjck6nTQTHsAJjx+MILL2BqaiqWQtxoNDA3N+dNXCUN6dtTSFQgbKjO5gio0lCzW9l9jvz5fD6WJKVmPLDmmihBaI+xn4mksCqhIU11O3icWi1UpLRwbIbnRkhKWrOuATMeWSSG9SO56hifVV9fH/L5vI9gLC0toVQq3c1WRCKCYrgDlEoltNtt1Ot1/ydkeFPXWWCpN0JJQN1n05MV+l3nN42dr2wAAA56SURBVOikKBvaJDgqsn07hVtrWiblNuj11ZrQ42wilIYjlXPQe9UCNcwkrdVqPv1bq19vFZYvUME+ffo0+vv7UalUvHLgzFrlKNiHpMWP73YExXAHaLfbuHTpEqamplAqlRBFEa5cuRITCiXtGL7U3AGdfKSjpJrkWhOSgqlCzeNrtRqiKPKrR+lsxGw2G0s6Yt80cShpirZOWNLkJX5Xi0FdDHUV1iMnNechk8mgWCyiXq/jwoULO/kz9cBaGBcuXPAuzfj4uOcqWFG83W7fc1ZDIB93CEyC4vMcGBjAu971Lhw5csTPyqQZC8BPtuKoaE12HdHZrloSyjuo8HGOAXkObm80GqhWq35EZtv8zPCqWjq8hqYlr5e4lBS2tPtUcSjoVqysrODmzZv43ve+t2OL3m4V09PTGB0dxfDwsFemnM9yOzL0EGDnl6gL2BjkAq5cueJHHxahpU9Li0FdBh3F15s5aEddYC2aYN0GpmeT91AFo5Oq2K4VXN2uSkhJUeti2PCluh3ahl0Zivels0O1FsYjjzyy47/T7fDUU09hdnYWi4uLnv9Jp9MYHh7G6Ogopqen97xP+4FgMewCuDbCgw8+6Kdpj4yM+Cw9jtpUCAwjMgMQiI+6yifQrNdogJ2UREEj604lwmsvLCz4a6lgW2JU206KTLBPAHwiFDkT2x+eR1fChkB5vXq9jlu3bmF5eRlzc3OoVqv7EhUolUp429veBqBj3XHOCxOylpaWDqP1EMKVe42pqSkAnT/5wMAAhoaGfJiMeQacHq1CYq0Fq6htdiSFyNZnsMJK0pPKhOtoAPECtTxPR25bk4FQQdb0a+1nkhVjlQS3Wc6BbsvQ0BAajQac66z/sR+4fPkyPvOZz/hEqJGREV+kZ3Bw8K63HIIrsUOgP8xq1CxeyhewJiBqTgNxc9wSddzP8/VFKBmo/IQWjmFpOV1Eh7DCrIoqie/gMVQQSo6qa8Lz2TerFOy9qktCqwpYU7p7Da6Mvry8jPn5eZ9i/olPfGJf+rOXCBbDDiOTyWB8fNwvpabToSkMzCkgVGFYpUAhs/vsQjAUbFt+jdAaj3RptO6DLbai5yZZAUmRCaug7H1YLkL7ze39/f2o1WpYXl5GFEWxUPBegwV37sVU6aAYdhA0fckrMEYOxIWfRJu6EhxdVeCteZ4kUOpeqPLgNdW/b7VasXoKSjbaUV/dCeUwbB+s9aLKY6NcCAtVJJqduZ9Zh/dSeNIiuBI7CEYjaCXozMf1hFoVgVZ41uMI60pYxWHPs9O56RZYTsG2oZxF0vRs5TOA+EIwPD/J/dBtqjQ0d4NRFSUwA/YewWLYQXCE+eM//mMAHR81iiJfD1KR5AbYAiwUNDu/gCBPYROg9BqWRGT4zfIMQG91JzvaJ4U0eR6wRmpyW5JwJ3EKwNqMUl2D417MODwoCIphF/DzP//zAIBvfOMbMROf0GnTnB9B0z0pY9ISd9xOaBUjVRI6GnOfZlcmuSL2GNue9o1IchWSFII9L+k47et+RSQCgiuxq3jooYdi6zkQGoGw/jbdC1UEVng1ImBXreJ+yyXoNRlG1WiJnZdgSUNLHrKOgV2az7oK1h3RKeZ6b+yvc84XYhkeHt63iMS9jqAYdhkPPvgg3vGOd8TSjZNSjjmzT0dRFRYiiT9QqHlv/Xi6HprIxFRkKhTNStT2rHLT1GvdZ/kFJRXZNl96rKZsM2tUFdpG64EE7DxC5uMe49VXX43lF2h2odZoVAHX0ZyuBitC2dmVSRyDWhAsdc8sw8XFRV/EhYrLpk2zHwq9li3OYkOqPMbyDir49XodS0tLWFhYQBRFqFQqWFhYwKVLl3bq0QeEzMeDi3e/+90AgG9961uxLEMKDYVJZz1qDoSdbMV06iQewhJ8PAdAouVirQ2gNxrBc23+goZK9Rq3C2+qNVMul7G4uIhWq4WlpaWeWZClUgmrq6thBak9QFAM+4T3vOc9AIBXXnkFAGL+vhKO1vfX0dz66zzfRjVsdKDVasE554lPko1c7IawC8bYGg56PT3OKihVMrpNJ1bdvHkT165d23D+ASdYnT9/Hs1m857OM9htBMWwz3jf+zqW3Te/+c1YaTgrQEA8OxHoLeyiJOF6hCVdFgB+9qBeQ69jQ5XaFiMYlkBUWKvDzvtg31utFubn51GpVDZ8Vv39/RgYGIBzDgsLC1t6zgFbQ1AMBwTvfe97/edvf/vbfjRl0pSGNzl6W2tCz1F+QUlDroEBrFknmiZNQaUCsslYwBopys+qLGy0gdaIVTa8Tq1Ww82bNzEzM3NbF4Fp3IODg+jr68PZs2fDqlK7hE0pBufc3wEoA1gFsBJF0fucc2MA/gDA/QD+DsD/GkXRvOv8C18A8EEAVQD/Ioqib+x81+9e/PiP/7j//LWvfa1HODW8Z/MVdG0KKg61CJJCk7pIri5vb2GzINmeKiD2kVELoJPolVSmrVqtYnZ2FjMzM5tyCxjByefz6OtbW/g3YOexlXDlz0ZR9B5hNS8A+NMoih4A8Kfd7wDw8wAe6L4+DuC3d6qz9yJ+4id+wvMRFDglGynUWq9Q6xYyj4LuCSdwcQTPZrMoFos4cuQIxsbG/GisVgePp8WiL60GpRmQo6OjuP/++zE4OOh5BCUrG40GZmZmcPPmTSwvL2/6efT3d9bpHBkZwcTEBM6dO7fDTzwAuDNX4kMAfqb7+XMA/hzA+e723486/4K/cM6NOOeOR1H0xp109F6HWhFAh5OgUtDl3tSVoBLQak5qCXCh3dHRUaRSKVSrVQwMDKC/vx/VatXXj+B6GawBoaSncgXqyjAvgyFZuhitVguNRgPz8/O4du3allwB7csv/dIv7cBTDVgPm1UMEYD/q5tv8O+iKHoJwDEKexRFbzjnjnaPPQHgqpx7rbstphiccx9Hx6II2AaUk3j11VcTE5s44ju3to6lWhuDg4O+JmW9XverRBeLRTjn/DoY5BEo5HbdTJ3fQcVw8+ZN3Lp1C9Vq1VsXjUbDL1M/Nze3ZX7g+eef37kHGLAhNqsYfjqKoutd4f+yc+7/2+DY3nS8jmKJb+gol5eAeyvBaTfA3AgA+P73v++VhBaaVR6CioGLw3LCEn12Lq1HotLmHmiOhc730MrU1WrV157kwi1UElwZK+DgYlOKIYqi6933GefcHwH4SQA36CI4544DmOkefg3AKTn9JIDrO9jngA3wzne+M3H7V77yFb8yVRRFfjXu5eVlNJtN1Go1L+iNRgO5XA7FYtFvB+LuQqPRwM2bN33mJDMmdVEd5SVWV1dD3sEhwm0Vg3NuAEBfFEXl7uf/GcCTAL4I4KMAnu6+f6F7yhcB/Cvn3OcB/BSAxcAv7D9+9md/tmfbd77zHe+327AmlUE2m43t5/yKpaUl3Lp1K9G8L5VKsTBm0kpRAQcbt50r4Zx7G4A/6n5NAfiPURT9unNuHMAfAvgRAD8E8OEoiua64crfAvABdMKV/zKKolduc43gShxAfOMb38Dq6irm5ua8O0CL4m//9m/x5JNP7ncXA7aGTc+VOCiTqMoAvr/f/dgkJgDM7ncnNoHD0k/g8PT1sPQTSO7rW6IoOrKZkw9K5uP3N6vJ9hvOuVcOQ18PSz+Bw9PXw9JP4M77GuoxBAQE9CAohoCAgB4cFMXw0n53YAs4LH09LP0EDk9fD0s/gTvs64EgHwMCAg4WDorFEBAQcICw74rBOfcB59z3nXOvOecu3P6MXe3L7znnZpxz35VtY865LzvnftB9H+1ud865F7v9/ivn3EN73NdTzrmvOOdedc59zzk3dRD765zLOef+0jn37W4/n+huf6tz7qvdfv6Bcy7T3Z7tfn+tu//+vein9LffOfdN59yXDng//8459x3n3Lecc690t+3cb69Vf/b6BaAfwF8DeBuADIBvA/jRfezP/wjgIQDflW2XAFzofr4A4Jnu5w8C+GN05oa8H8BX97ivxwE81P08BOC/A/jRg9bf7vUGu5/TAL7avf4fAvhId/u/BfC/dT//7wD+bffzRwD8wR4/138N4D8C+FL3+0Ht598BmDDbduy337MbWefm/gGAP5Hv0wCm97lP9xvF8H0Ax7ufj6OTcwEA/w7AP0s6bp/6/QUA//gg9xdAAcA30EmVnwWQsv8DAH8C4B90P6e6x7k96t9JdGqL/ByAL3UF6cD1s3vNJMWwY7/9frsS603RPkiITS8HcLvp5XuOrhn7XnRG4wPX3655/i10Jtp9GR0rcSGKIpZ10r74fnb3LwIY34t+ArgC4BwAFq0YP6D9BNZKIXy9W8IA2MHffr8zHzc1RfuA4kD03Tk3COC/ADgdRdGSToSyhyZs25P+RlG0CuA9zrkRdObdvDvpsO77vvTTOfdPAMxEUfR159zPbKIv+/3773gpBMV+WwyHYYr2je60chy06eXOuTQ6SuE/RFH0X7ubD2x/oyhaQKfS1/sBjDjnODBpX3w/u/uHAcztQfd+GsA/dZ36pp9Hx524cgD7CSBeCgEdZetLIXT7dEe//X4rhq8BeKDL/GbQIXG+uM99suD0cqB3evmvdBnf92OPp5d3Z7F+FsCrURT9xkHtr3PuSNdSgHMuD+AfAXgVwFcA/OI6/WT/fxHAn0Vdx3g3EUXRdBRFJ6Mouh+d/+GfRVH0zw9aP4FOKQTn3BA/o1MK4bvYyd9+L8mndUiUD6LDqP81gE/uc19eRqcEXQsdLfsxdPzGPwXwg+77WPdYB+DfdPv9HQDv2+O+/kN0zMG/AvCt7uuDB62/AP4HAN/s9vO7AD7V3f42AH8J4DUA/wlAtrs91/3+Wnf/2/bhf/AzWItKHLh+dvv07e7re5SbnfztQ+ZjQEBAD/bblQgICDiACIohICCgB0ExBAQE9CAohoCAgB4ExRAQENCDoBgCAgJ6EBRDQEBAD4JiCAgI6MH/D7tYDqLTiI56AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3211f588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c325cc4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3249fda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31545240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hT74vWwE8liirQZQaC3wUB9WOlxIFwe3tk8kkCoUCSqXSDX/XHrcevrryOjE5OYmRkRHnQgCbprMIFlsI4p9zeFIEnwVIBJeJRCb9JGwo60C0E95EIoFEIhHoMC3HsYvB99arZMsxPH5tOQj08UJGcjJUuVzGwsICrly54ku19xa+unK30NfXh+HhYSSTScfwG2MC6c+auOM+jBw6lNlZ5yVEuQti+qdSKdeHgReQ0ZEK3eBFWw18b3YjolrWy58eJ3MXfHw6nUatVkO1WoUxGynT/f39bS0Nj86D5xiuE+l0GplMJlADoXMJoj5r0lD760Cw34KcJ0KuhTCZTLpejFGzfNT9tRuhiUgd2dAujSY4ozgJ2cdt5mS8+XweDzzwwHV93x57A28xXCekcasIAnMKIniSWxAlMFF5ADwjcxpzlBkvVgITnZz2DMClLANBwhBA6N4MrSjYitDkpzxPlCsR5eZImXZvb+8O/jc8dgveYrgOnDx5Ev39/a5oiBUEsJnmLPUG0sNRk4UslOz7s1/Os7EWRrYiZIk5zpmQTEoOlcr1dFMW7Rro3Akt/FGRiah8CI5+yLPF43EMDw/j0Ucf3bX/kcfOwCuGbWJ8fNxVTYoJr81szlUANk1qOUYEiZOBgHCKsrxqP57dF7km94FMp9PuWN2wha0D5kD4jy2DdpWdUWNs95ktGEEqlUIul/Phyw6HdyWugcnJSfT392N4eBj9/f2BkmlN8snMrIVLlIWE8rR7wEqAZ3gArn+CgKMWMluzMkomk6jVak758DWjirY0UcoKhF0Cqetg/oATtrTloK0HuZf0bpDn8OhMeIvhGpAEnUKhgFQqFWq3xkLAJKEWMDbToxKWrhUC1DkKAl1O3dXV5cKV+r6a64gSZG0daOXAx2vilcfAyoB7UUhGZDab9UVWHQxvMWyB8fFx5PP5AOHImYUi5FFCze91OBHYFDQdVtQ9F7cSWLZOOPQox2nB19sEUcKvn0UsHu3e8PNxpEIXZXEPh1gshu7ubnR3d2/r/+Bx6+Ethi1QKBQwMDAQSHmW2ZDXXGBh4ZlSk5I84+rj5TqyX/ax4ok6lqGzK621rhmMQBOSsk3zFlz9KSXh2trR1pEmJTXxyX0d0ul0gBPx6Cx4i2ELpNPpUO8BUQgSxhNBEvDMqcN22o/n49j6iAoJ8jX4vCgLQD6LWxE1y0fdR6yhdolTxpgAzyDH6QgGW0raWtHhS4/OhFcMW0B+4GIxAMEUZ53gFMUrsDJpJ/Tt+i1odl9vuxYvoRez0VxG1D0FOozKfAFHW6Kuw9mdOmIh19PP7NFZ8K7EFpDZVmZeSYNm8lF+4NyMRZRH1CwOBPstbDXza8FnU72d+yHbtM/PM7WAIyw862s+g0Oe4k5FKUZ9L+5yzYqi2WyiUqlgYWHhBv8zHrsNrxjaYGpqyrkRrATkh62FnoukgLBwsuBHLTLL0GFLPqfdLKxnfFYEOtFIjucwqHZrohROVCRDKxHmJbZSjDIuj86EVwxt0NfXh3w+74RKC2PUzMrvdQiTLQ3tckQJu+YeZB+z/rwNQGgGb5fIFOVSRJn2Ooqh8yD0dbSy0d8J8zSpVArZbBYTExNb/h889gZeMURgamoKo6OjyGazzoUAgsLBvRK1Cc6zu1gZXCHJryysvC1K6Pi+WjnJWARcd8FjYOsnysKRsKTO4OTXKKWiLY12z8DXzGazPjLRofCKIQK9vb2uCYsImP7B69g97+O2bexfa7NcVzpyCFN3jNYmvNxP8x1soXCIkMOGUZWhUe5ROwXA34e+jrgQPLaoKIW11nWo8ug8+P+KwsmTJ13uArPrAi3wwCaZyAItFZYiRFGRBz3jR0Urovx9Lmnm+0fdR6Mdh6DdF91Eht0dOV6HV6OUISsQXaIt7e08Og/eYlDo7u523IL0XoxKcxbohWOATUHlPAcWRrmWzN5RxUtcj6ELsbS7IYpIF1iJ8EW5OTJOrSj4XK08OJoSpTA5lClj4uPlOHFXJDXaF1R1HrxiUJCmptw4lTMe2TzXgsdm/VZRB+0ayKsWbCCa2OTFZ+VVm+0cGtQ1DvK+nRUTNV59TFQ0hIlRbR1EEbhdXV3IZDKeZ+hAeFdCQWZnronQQqYFTExvIGjOs/IAolu1c7WlCAsfx9djIYxKx5bPHBFhZaHrKuS9ZHFGFYbxdaL2a8Umx2ulw3UY8rzxeNx1ovLoLHjFQDh58iQKhUKIvecfPRNpbC3oVmZaUATab2dXhAWZaxW0ny/34cgBuxSiiKQLtfAdrDA0acq8BpOVwKYg64Vu2z2/rLSlC8Q0H5FIJJDL5XxXpw6EdyUIUtgjTDn/qPUsqBOFxDLQC8loM5qvByDgqmjB0fkKAp2YpLfJPeRVRzZYybFC0IlXnBWpj48K10bdT19PulhzJmUmk/H5DB0GrxgIQjZyaA8Ihih5JmSFocm9KP86ikOI4iaYb4jKVNSRDO2G8PFsaWjhZbTjRLRC4j9gU0Gya8TfgVyDFScr0K6uLqTT6ba1Fx57A+9KEKSPI7BpbouS4AiDthystUgkEoE4P+cSRGUg8j3aZShGWQ1RFgIrER26ZPdA/iSMyh2YtBUiSpCVGbfB5/Pk+EajgXq9HuBWtLvCXIZcV0raPToH/r9B0AVGUUw6WwYiKCJAfA32yaNMfzmGX3Xqs/b1o87hY/kzKwnNMYhyE+Ug1+Nn1RYNK55YLBZqzba+vu628doUYsVoN4stiK6uLpdd6tEZ8K4EQRaNMcY4QdJuA8+S7CIA4ZRhnUPArkhUvYOuq2inRHifKChpyMLX17M1Kys5R6DdJRHcdhERtkDq9TpqtZqzFkShSbhXMhw5Y1I/Zzqd9q3eOgjeYiCw4Av07KsFhP3+KNOchZNNcE3YySsLqJwnx0mTFH0sEFzDQfMJWrhFKOv1emTKNx+fSCQCSpHHy+4SPw+AgCKI4lx0V6tkMukbt3QQvMVA0FmBQHC2ZcWhS5l1mfFWginXF7cjag1Lfa585oiAFkYWbrkH8wU6W7HZbIZCi/p5+d5yjlgpjUYjINz6O2OCkcvI5RgZTzwedyt8eXQGvMWgwBaCmNqyjoSY4CJ4QjiKAHBtBAunKI6oBW9ZgIAwl8HjkdlbTHWOCMh1da6BvMqzcD9HeUbhBiQiw9EMbrTCLoZ+Rm71FtUwV8aiXSYZeyaT8Y1bOgj7UjGcPHkS5XIZ58+f39Hrci5BVDZhVF6CNs+jhFKEOCqDUK7BXAaHIPU99Hn62prT0FYMH6M5FHFVmCPg6/Lsz/fm74+zKKMSnKTQLIpf8WtNdA6u6UoYY9LGmL81xnzfGPNjY8zp1vajxphvG2NeNMZ83hiTbG1PtT6/1Np/ZCcHfOrUKQwMDCCXy7U9ZnJy8oaILFk3gsutWZB5Nmeh52YuvF8LFBB0G6JCkSy4nBHJ7zn9mq8VRTaKwOnZnSMWOpWZ3QS2ZjSZyjkJcl8mGqNSqDWHI+Ph+3jsPbZjMVQBvNtaWzTGJAD8N2PMfwXwMQDT1trPGWP+GMBHAPxR63XRWnuHMebDAJ4C8L/s1IBFcNLpNKampvD000+7fcePH0c+n0e5XEa9XsfExASeeeYZABtrRIgQJBIJVCoVtw/YaM6Sz+eRSqXc7Ck/Wi0gAuYcdHn1+vp6qPsTpzsDmy5AO0tAoLkJubd8FsHkGV4EXDgEFuJarRby93ntS84/4PCrVi48NnYd5HhxK+Q4VhAc8eCxenQGrmkx2A0UWx8TrT8L4N0A/nNr+2cB/Ebr/Ydan9Ha/x6zg1OB/LgLhQJGRkbw4IMPAtgQfBFO9psnJycxMTGBXC6HXC7nGrqyUpiYmEBPT08g41ELJgtA63sJMe0690HWY2BzW66hz2WTX/vmWtjkPRAuzGKLQ5QCg3MR2CLitG6xghKJRGA/KxedQq1dKtkW9Z6JUOExvGLoLGyLYzDGxAB8F8AdAD4N4KcAlqy14hReBHCw9f4ggFcBwFrbMMYsAxgAMK+ueT+A+693wLlcDvl8HolEAj09Peju7sbDDz+MM2fOYGJiAtbagBUxOTnpUp0rlQoqlQqmp6cBbCiTeDyO3t5ejI2NudlcBISFSndUYh9bl2Gz6R+11qSgnZLh4+Q67Rq+tL7LgGvDeQ1s0fCszoSpXF+PQ6dU86vmQfhcfi+Q+/C5/Jz1et0rhg6C4R/qNQ82pgDgzwE8AuD/sNbe0dp+GMBXrbVvMcb8GMB7rbUXW/t+CuDt1tqrW1x3W4M4ceIE7rrrLvT29iKdTsNai2q1ioWFBbzwwgt46qmnnHLQxOQDDzyAWq3mLIUTJ06gr68Pvb296O3tDa1gDWyazOISiNDxj1779QDcorJiwsu1gE2Lh2d5jhLINu1mcOiRFQQTpnLNWq0WEFqxklihsRLke7Jy4/tqEnMrI1CTrvp8SZ2WcTYaDbzwwgv4+Mc/vvUPwONm8V1r7du2c+B1RSWstUvGmG8CeAeAgjEm3rIaDgG41DrsIoDDAC4aY+IAegHsSBwqmUwim826DEVrLdLpNPr7+9Hb24vx8XE888wzkR2BqtUqEomE4xr6+vowOjqKZDIZ8K/FlRBhAhDw27VSYAafWX4gKFRifTBfwYKovufI9Gjez4LJEQYmLTUvwgpEX58VhTyrdqv0tTSxyspFWxR8TdkmFkulUkGpVNruz8DjFmA7UYmhlqUAY0wGwK8CeB7A3wD4zdZh9wH4Uuv9l1uf0dr/nL0es2QLSBKMzOwym3d3d2NgYMB1AhJXgXH+/Hlks1kMDg5icHAQw8PDKBQKrhM0+8icEAQEV2ViAeRZnNn8KP5B0Gg0UKvVAglRLCj6XnJ/AfMBXLgk14xaY5ItBRm/HCvjkedl/18vFsNjE2jegxWC/LFrxc/VbDZRrVaxvLyMp5566vp/EB67hu1YDGMAPtviGboA/Jm19ivGmP8B4HPGmE8A+HsAn2kd/xkA/5cx5iVsWAof3qnBdnd3h5KB5PXAgQNYW1vD+Ph4yI04duwYMpkMRkdHHQEpZCNHBDj5h60E2c8WgRQSyTY9WwObvAKwaSnE43HnS7OQAwhZEl1dXU6A5XhxQzhjUb4DHrf2+UWwOWtS5w1onoFdK60QWOHxd6SjDZpPEMukXq9jeXkZy8vLuHq1rZfpsUe4pmKw1v4AwFsjtr8M4O0R2ysAfmtHRqfAAshxeBGiXC4XmF0nJyfR1dWF7u5uxyWIcmEWXiDCLsVAnHugS45FsOSHrs17GS8Q3USWE5Pk3qww+F58HxmbjEtbNVv5/7xPBB8I113IccKRaHegnfuhLSB2vfg7E6VWKpWwtrbm3YgOxL7KfKxWqwHBBIKsfT6fR09Pj+sGFIvFkMlkXCQjk8kEQnAsDGwJsEDLD5+tBfmBc6IRj0vec4SDoTMG+RqiLCSPQkczohKiWFlyBGIr0pBf2ykwFnRWyvpZ5BjNheicC7mOKNpqtRqIEnl0DvaVYpibm0O9XkcqlQrNRLFYDLlcDoODg4FtPT09yGazyOVyLrORBY+TgoDgClMimFEhR5lxdZ4AEO7ipK0ccStYiTCJxwLK24Eg36DPk1W19flRlgRbCVGvxhjXI0EsEz2OKGuBX9u5IXJ8rVbD2tratf7tHnuAfaUYpqen8da3vhVDQ0OB2ZCFulAooFKpoFwuw9rNTsRc+MN+thZg/qHLD5oFji0UnsV1HYTMjDpDUCsAbcKzi6Ofrx2foAWfX7XyiBJgbRFpK0R/P2yt8LX4WXTadtR9OXzs0VnYV4oBAF577TUkk0nk8/lAsY4IorgOwnjLzM7WBfvMWsHIfm7Pxq3HeHYENqMUTOSJpVGtVgGE4/7tsir1mKLyGvS5/Dw6t0H7/VHuC1+HxyMWQbPZjOQidBFUlDvFVoZcnwlOXzTVudh3iuHUqVM4ceIEhoaG0NvbG2L1u7q6UK1WUa1WUavVUC6XkcvlXEIUEJzhBSxMfK0oM5/5A9mm+Qm5hlyb7ynXY8Hl91rA5VoshMz46ygEKzUgGFLUlo3cRxSB8Ce8v51FJKSobJMoTVfXRj1KrVZzY9fulGShenQmrivzcdcGsc3MR8axY8fcwrPARrafcArNZhOLi4sR/HgYAAAgAElEQVSoVCpIp9MYHh7G4OAgenp6nFvBgg2ESTS2KmQ7jTcQnuRjdXiOIxtyLv/JdYS/EOHiFac1qadnf7l/u5mbt/MCN/InFoFYXdr8l++LLTRtNaj/pxsPh09FmZRKJczNzeF3f/d3r/ff7nFz2J3Mx07CuXPnIrcfP34cg4ODaDabju0+efIk4vE4crlcYJbjHy4QLmNmE12b93K8nq0ZvE2XIfOrJu90IZIg6v6ynYU5qp6C78dj45Apcxz8/cj49di0y6ItHuZyWJnU63WUy+XIMXp0BjpeMUhfBfnxXYusqtVqrjJQ8OSTT2JychKFQgGFQsGVROuwJZv6XAylzWAgmOXH42PCLirjTysfYFOQJA2bFRGwaW3w+azMtrIemFeJqobUpCNv4+fUhCS30+fn42IvrTDFYvAp0J2PjlcMksU4MTGBWCyGqakp92OMin8nk0mk02n09PQEtk9PT+PcuXNIp9MuDMe+PkP/+FmI5JXNc/b3AYT4ByCc7KM5AGb/WUB5fNp81xyHtkTabeN92pWUbZzYFOVuRhGH+ntka0cUrfA+Qsx6dCb2Hccg2YwAnLsghVHJZBK9vb34uZ/7OSQSCbz44ouuX4PgmWeeweHDh12nIWbctYCyNdAap7sOf288E3Myk7YWxKrgku6oa2v+g+/Fikg+63AjH8tkJT8Xl12zdcH5CXwcKxE5jwlaQVT0R+5bq9UwOzuLy5cv47XXXtvx1nwe18S2OYaO7hItGYzcpk3M0XPnzjnBO3/+fIDcajabSCQSGBsbC1VaLiwsoFQqhQhCHdLUsy5v43vJzMkCqTmCdiTnVqY7b9fX0i3n2HqR+zNfEFWzINfWRVfa0uF78zFRrpNWZnxf5hiq1apXCh2OjrYYjh8/7lhzYzY7M7XjGSYnJ5FOp3HgwAEUCgWkUinMzMzgH//xHx1ZOTk5iaNHjwasBvnB65m4NTb3WfvT8sozMYf9tJsSxUew5SCJVNrE17OvJgajIiYchdD3luM0R8JuD4cgeR9vZ+XD302UUrF2I+IyNzeHCxcuYHZ21iuHW49tWwwdrRiAjYYqQiRKu3YpMT579mzkOZOTk2559YMHD6JUKuGVV17BmTNnAACPPfYY3vSmN7naCRFsDtttldUnn3XIEdjMN+AqTW2qa1KO78mCGhWd4JoOUSw6+sFt3DXBydeR47XLwPfhZ5YxclamgC0RHovcUwrAisUiLl++jIWFBSwuLl5X5uPU1JRTRLVazddYXD9eP4pBcOzYMSQSCTfLA0C5XEapVGo780xMTODQoUPo7+9HpVLBhQsXUK/X0dPTgzvvvBO5XC7QoZhDckCwYjFqGzdf0aY9KwN6TuefszBHWRJa8GU/r13BC8XI9TlBSxOcUTM8uwOcrbhVJCYqYUk/m2wT5SCKYWlpCZcvX8bVq1dRLBbd+Lb6H0o2a09Pj3PfVldXsbq66pXD9eH1l8cgrsD4+Di6u7vR3d2NQqGAfD6Phx9+GMViMfQjkdno0UcfxcDAAEZHR1EulyOrHXkm58Qi7XML2rH9LDCsHPh6rIDEfdDX0rkI2rWQ46JyIzTpx1YLPy+nckcVg8n1tJWy1Xj0uUx+rq+vY3V1FUtLSygWi+7/E9Vxa2JiAqlUCgcPHkShUEA6nXbuZLlcvu6syampKVhr2+a/eASxbywGjcnJSdcUNp1Oo6trIxV6dXUVTzzxROj4EydO4MiRI8hkMrDWBlrEyQpMNJ7AuSxUepuOYMhs3I6tbzabAcWgoxhyXa7klGOZXJQxsJC3K3JiJcPWTTurho+V/VGuj352HpNWclJJ+dJLL2F2dtYp8cnJSde8Rs6VjlzSbUt4IOk4tba2hueff35bPSKPHz+Onp4eFAoFFItFnDp16prnvI7x+ohKbIXp6Wmsrq5iZWUFKysrqFarSKVSGB0dxYkTJ0LHyw+z2WwGlmIDgrO8JuWAzVlThx/5OD1L83lsbrM1wgLN7oRs5zZrHBEQodfdrNgi0K5GVMRA7sEKQnol8Hg4LMkKSL47ub+2jOQYEWjJX+Dvdnp6GmfPnnXPmM1mMTw8jKGhIeTzeffcenGbeDyOY8eObfkbOX78OLq7u90E4Iu2to9940pEYXp6GlNTU4GQYTwex8jICB555JGQD1oqldz6j2LCS7ahDjsys8/8Au/jEJ4IsFgLHB3gmVUES87j+2phkntyBIP3cyk5uw1M/kW5KfKZr8ndq9sRroJ2pKR2u+TeUtRWrVbbRpXOnz+P48ePI5VKIZPJBJ5bFBhvE76J3RC2PHK5nOvnKS6ML9raPvatYhgfH0cmk0E+n0d3dzestVhbW8Ps7KybIbLZrGsnD8Cl4ZZKJUdC8opRUXF6yYkAwvkBAAI/XPmszW9NyEmDF1YifBzPkMIDsPDH43EXmTHGBBa7ZR5AK4GoVG3mOGTcrOi0CxXlcuk8CfnuRPFJfUSxWMQnPvGJtv/TRqOBarWKUqnkxlqv1913sr6+joWFBczOzmJxcdEpCP6+JPNVeIn19XVcvXoVS0tLbaNYHmHsK8Vw8uRJNBoNl7GYz+dRKBQAAPPz81hbW0O1WnXCLn0URAClHdv6+jrm5uZQqVSQz+fR29sbWHuBoYnAqJRkVgJRBCL79DJL62uIsDLnwK6ATobibXw/thBYGfF5ogx4HGI1sUvBz6SVDJ8nf/L9soJiq+lapvz09LSLQohFIKjVanj11VexvLwcWlBI0ty5a7j8Lsrl8pahbY9o7CvFMDo66oqk0um0W9h2dXXVKQz5wUsvgEaj4UJhk5OTLkdfuAkJWfb29ga6OmurQLZxujAz9BzC45k9Ko+AlYS+vnwWJaHHwNeKiq7wsTxOzT/IGHTSFlsI7JrofSz0enyiADg7dLsVlc888wympqYAbCwynEqlsLKygpmZGTz88MOh41OpFPr6+pDNZl2SWCKRQCqVcs11/QpX1499pRgmJibwxS9+MfBjE0EVv1TMz2q1Ggpf8tJ0HDc/fvw4hoaGcOTIEdcbEgiG8FiYGKIExCrRAsdCKopFkpAkXBlVnhwVARDI+VLnIK4EWyDaymB/XSwDtmhkn9xPj12Oa6eo+Hm5Ua64B/Pz89tuE//000+7aEKz2cTPfvazyEjT1NQUjh49ioGBgdBqWzIOyXnwuD7su6iEzAq86Ew6nXYdotPpdKD3QRR0Ms3Zs2dx+fJlzM/Po1wuuwVYmE8QU5hneS3ImuUHwinMPNtrC4EFTyDEYDu+QFsf+hrMTfCzaE5FWxVa2AE4QWOXSEd0BNza3lqLSqVyXSnQ4h4sLS1FKgUA6O3txeDgoFsrRCwFcSvEffSp19ePfacYJG9BWOdMJuP+ZLt0g74eTE9P48KFC7h06RKKxWJoEduoQiQWbPbjBaxEdJKQFmptKYjgscBzGFIsFI4ktOMY9MzPBKc8gw6HcvRDFshlDkH2CbnI9+D7RtVSXAuyOnksFms7258+fTqwgJBMFtoC85GIG8O+Uwzvf//7cc899zjzMZlMoru7G7lcDplMBtls1iU8XS+efPJJvPLKK3jxxRexurrqwmtA0DfXRGM7QpBNW4l8AJsL2LAQcWMY+czhUV5+Tv8x+BqcI8GKg8/l8UWt8iXXEretVquhVCqhUqm4Fap1CTl/X3L97u5uPPDAA9v6PwwNDaGvry/kQgHAQw89hE9/+tO46667MDo66twohtx3eXkZ8/OBRdY9tol9pxgAYHh42JFNIkBCSCaTSTczR6XaXgvnzp3D3Nwc5ufnUalUQjOigBWEfNbkH9dhsJshiJrhNcHXbuZnU167CmzVyPE60Uk/j+ZCEokEYrGYCwfqMYmiku+GeQXNV8hqU9slATOZjBtnJpPBgw8+iFOnTuHs2bM4evQohoeHXeKSHr98z6VSCYuLi/jkJz+5rXt6BLGvyEfG8vKyaw8viiCZTDoBWF9fv+ECm+npaTz88MOIx+MYGBgAsBl50DF+5gC0O8DCqE1+ILx4jOYcZFtUtIHP0xYAEIxYRM2oep9+Lq0oJErCikxHVjQnIatNvfrqqzh9+vS2v3+uZ0mlUkgkEojH4+jt7UUulwusJsbKk+s/ZG0RjxvDvrQYAOCd73wngE2BFeIpm826jLebwZkzZ/DTn/4Ur732mivaqVaroVoDTcQxoqICwGZpNs/yHKmQ60dFQTiUqespgCCPwMqBhV0LN1+bj9OJX9o90LwEgICF1Ww2USwWr0spAMCDDz6ICxcuYGZmBpVKBevr6yiXy7hy5QouX76MlZWVkMUifIdAQtA3YjV67GPFACBSuJLJJIaGhjA6OhoZ974ePPXUU1hcXAz46lzDoCMFUTM6f9augZ6hmQfQikb7/vKe3Skep5CGIiw8o/M1RHnpaApzKqwAorpdRxG9bDXcCM6dO4cnnngCV69exeXLl3Hq1ClcvnzZZT3KeLm2QzIsK5UKisWiCwd7XD/2tWL44Ac/GPjHyw85n8/jyJEjePOb33zTyoHJR2Az75+FUPbzsvH8o2UrAAj3goxyL1iZ8H2YTGQykmdzuRfXP2jlw12m5H4i+Mzqyz1lvw5DssLRZGelUsHS0tJNff/nzp1ztRXnz5/H2toaisWiCylzLguwkSE5Pz+Pl19+GTMzMz656Qax79Up/7A5uzAej6NQKGB4eBgPPfRQoP5/O5BUWwmbAUFfXTIweTbVMzy7AprA1CQhKwKObkRZDTwWTSbqvAYGcyFybX3NqLoJOVaHJeX5WeHwNdbW1rCysrKt73u70E18WeE2Gg3UajWsrKy4FGjpG+pxfdj3iuF973sf/vqv/zqS/IvFYhgcHERXVxdWVlZw+vRpl4knPrrM9MDGsmmSSj0yMoJ8Pu8yKoFwr4FGoxEoYNIhQGDrrskamtVna0C2RymEqDwC2c6JRzw2/X1FRT50jkO9Xg9kdmqXiMdcr9evKxKxHUxNTaG/vx+Dg4PIZDKOY+Hvslqtolgsus9+0dwbw75XDADwq7/6q3juuecifXshIoeGhgKstTHGpVWvra0hHo+7Je/Yd+dZ3VrrfuhicnNOAs+gPIZ21gHP2MZsVEkyeaetCHY3oiIfuvBJKzTNT0SVZfN7+b40oSlp3cAmNxGlYLiq9GZx8uRJ3H777RgaGkI6nXbhVLmXELJCVHrcHLbNMRhjYsaYvzfGfKX1+agx5tvGmBeNMZ83xiRb21Otzy+19h/ZnaEHoWdMYFNo4vG4M0HT6TSy2SyMMVhcXMSLL76Ij370o/jJT37iiEaxIjgMyNfWJB+b5iLYLOCaR9CzvJwrwsU/eK1UODzI7/X3wCY2sJmizGMSsGWiIy2ynwWflYxOJGOugk3+G8XU1BROnz6NgwcPYmhoyDXZ0a6jjEUiVB43h+shH8cBPE+fnwIwba29E8AigI+0tn8EwKK19g4A063jdh3vec97AISFpF6vo1arYXV1FVevXsXy8jKKxSLm5uYCxTnT09O4ePEiVldXYa0NdAziWVh+7PLD5KQljiqw36tdBD5OrhE187IyATbbxulEKRZ03ZGJz+Ux8Hat+Lhbtv5O9T15vCygepnAG0Vvby9GRkYwPDzsLAXOItUKNZvNoq+v76bv+0bHtno+GmMOAfgsgN8H8DEAvw5gDsCotbZhjHkngEette81xnyt9f6/G2PiAGYADNktbmRuoOdjO/zVX/2Vmx0bjQYuX76My5cvY2lpyRXTHDt2rG1T0HPnzmFsbAxra2toNBpIJpOOpwA2mrzo1GRRIDqtmC0FHbWIIg2lPb5OXWZrKKoWQ6wDjjRo5aKtD3aTxEJhV4WvLfeSAiqunwAQWKmb1wCRNSR+//d/341Zlhrkbt9cgyG8TSaTQXd3Nw4cOOBWKecsTM33iNKU+37/+9/3jV/D2PEu0c8AeABAvvV5AMCStVYySi4CONh6fxDAqwDQUhrLreMDSevGmPsB3L/N+18XpKquXC5jZmYmlGCz1Q8mkUigXq/j0qVLqNVqjuzipewqlYqLkfOsKEIoP2Cue9CMPxAURAAh94NNdh114Htq4WeOQXMN7A5wSrZYClFWiyY9ufmNQLsY0jAlnU5jamrKnTcwMIBUKuW6PosykPCjKJdUKoXu7m6nFFip6miK3JtdH68Ubg7XVAzGmH8OYNZa+11jzLtkc8Shdhv7NjdY+yyAZ1v32DGL4dd+7dfwl3/5lyiVSrh06RIeffTRbZ/74IMPIhaLYW5uznUgPnPmTIBxbzabriuQtJSr1WqOPJQeg6IwJCFIZlhOL2YTXnc3inIlZDu/tuMZ2F1pp1zkM7s+chzzCkyEcqRClIesViWQe+ZyOYyOjrpOTNJUBYBz8WQM3d3drs5FXDapfdHri7LbFEXCbscK9tga27EYfgXAB40x9wJIA+jBhgVRMMbEW1bDIQCXWsdfBHAYwMWWK9ELYGHHR74FPvCBD+AP//APMTMzs+VxDz30kJuZpNvS/Px8oC35wsICFhYWkM/n0Ww2sbS0hKWlJacgmHwU/kF6AnAhkhT8NJsbazeyH677R4iFIWQaJ0hFdVzS62CwgGilIMqNrRLez0pCFBivKCXninXBqdnc1k2OHxwcdAvFrK+v48qVK5ifn8dTTwWpp1OnTmFsbAwDAwPO4tIJY/yMHKpkBSrf98TEhA9V3gSuqRistacAnAKAlsUwZa39V8aY/wTgNwF8DsB9AL7UOuXLrc//vbX/ua34hd2C1Da0w+TkJIaHhzEwMIB6vY7l5WUsLS2FEnKmp6fx8Y9/HD09PajX6y4dV/pC1Gq1gCVgrXWznAhtKpVCf38/ms0mSqWSM5tjsRh6enqQSqUCx7Ki0MSeFhAgSDjqQiw+T1dfyna+R1Q9BCsVDmFqLoP/zTq3otncqLK8dOlSZHHbE088gUceecSVz+t6FE7RluvLqxwbZR153BhuJiX6BICPGWNewgaH8JnW9s8AGGht/xiAkzc3xBvD8ePHQ6E0Rk9PD/r6+pDJZFx+fbtmpadPn8bMzIyb6Z5++mmUy+VQB2NpKVetVrGysoJisYi1tTVXdlwqlVAsFrG0tITFxUUsLCzgtddew6uvvopXX30VMzMzbo0MsUTEBdGEZFToUASQ/7SwshJhP50FMIp4lH26dkIUmoylXW3F+vo6VlZWtqx4XV1dRa1Wc+foIjA9Xt7HNR9+Ne2bx3UFma213wTwzdb7lwG8PeKYCoDf2oGx3TSmp6cxOTmJZrOJ8+fPuw7EfX19OHLkCLLZLJrNpms3LsIUZYbqLsPctBQIrgMhVgTnQhSLRfdjl9ZjkoxTKpVgjHE1GPV6Hb29vU7AhJADwnyAsPHynmdPNrE1sagtCmDTquCQKx8vkO1yvuyLWtpPvodms3nN3ovyvQjXwFZTlJukxyvu3XZ7S3q0x+si83ErTE9P46mnnsLjjz8e6A0pWY6JRALZbBbWWqTTaVQqlW23A+M25sCGe8KCUq/XnUBWq1XnfohVUa/XA9c4deqUW7RWeAqeOaMIRl0MpaMfrCT0rMuCL+fqKksmSrW7wIKrayZEWcViMZdheq328dLtWVtFPGb97JzTYK1FuVzG8vLylvfxuDZe94oB2Gg7v76+7sJkegUnzoy83l6RgvHxcQAI5DjI7A/AcQeyKlJUZ6F0Oo2BgQH09/cjk8kExskzv9yHZ3PhLHQrOh1yZGUh0GPWDD8nX2lXQ1scOooikO+5HR544AHXzJcVEEdvdHo2v5fIT7FY9CnRO4A3hGK47777AABf/OIXQ/4rz4iy9sH1dn4aHx8PRRVECbBglkqltuHTU6dO4Rd/8RcxODgYUAhyPa7xkG0sPOzK6DwEeU5t8gObZeV8Dvv5fD1JwJJzNAfASoF5hmQyib6+PiQSCZw9exYLCwuhzs8c/eD8Cu7WJPv4eMmDaDQamJubw2uvveYXl9kB7Ot+DNcLDg3yLCo/9mq1ekOzDQugzFyNRgPpdNol+Vi7sYReFB5++GHccccdTnh4jABCs7CQekA4+zEqVMnnyTlMXupzedFfFkj+zqy1rhksCzJ3VWIhzuVyGBwcxIEDBzA2Nhbqk/HEE09gdnYWCwsLriqTO2Hz+GQ8nE4uimFxcfG6/38eYbwhLAbBBz7wAXz1q18NCLK1G5mMq6urbXs2tIuJT05OOvNd75fUX8ltWF1djZzJPv7xj+OOO+7AyMhIZEYhEEzeAYIhTBZAbdrLsXwdzUdE5UDo8KQxm2tqaJ5Bcx1Rfr8oj1gs5tYbjVKS8/Pzbky5XM4Rq6ycdN6FRIPW1tYwPz/voxE7hDeUYgCAe++9F1/72tfcbFOr1XDp0iXMzMy0XdgkHo9jcnLSuRiTk5NIpVKOVIxSGsYYlMtlJ2hnzpwJHXP69GncfffdruO1CG4sFnNJV8lk0i3SC2wKYiwWQ7lcRrlcxtramhNMvUgtEEy9lhmWCcUoRaSVDCct6fM474ITjySpq1qtum1CrGYymdD3IUJ95swZjI6OuqQyto44oapWq2FpaQmlUgnLy8tt/38e1483nGIAgPe+97340pe+hLW1NVfo06434eTkpGtQMjU15RZclfDbtbLrOG2X8dhjj+Ho0aPI5/Nu1pdMyO7ubgwPDyOTyTiLRpREpVJxQtfb24t6vY6lpaXAOhhMEnKeRRTDL0pCFyfp+grt4wuZyNyDzPDs3sj5UgcCwFkNDz30EFZXV0Oz/MrKiktyymazWFtbcy6ehDOFxF1YWHAcg8fOYVvVlbs+iB2slbgePPnkk7hy5cq2ycaTJ09iaGgIsVgMi4uLW3Y/PnbsWGBlpMcee8zte/zxx3H48GH09/cjnU4D2BC0np4e9Pf3uxoMEaZiseisCIlySC2BCGW5XMbq6ipmZmYCJrf2yXVSlCRpcSk55wcAmy6KTrTi1nZasXLCEfMOojxKpRLm5uZQLBaxvLwcsqgef/xxFAoFZDIZrK6uYmlpKTB2IXN58eIbXS7gDYQdr658XeLkye0nZR47dgzJZNJVBxpjMDU1FcplELAQxWIxnDhxAo1GA7lcDnfeeafrJdnV1YXe3l4MDAwgk8m4BqpCiDI5WiqVnCAmk0mUSiVnYeTzeeTzeTQaDSwtLQVmaJ0yzDyB5gOAYKGW5jGkIIqvxVYKQ6IoUlgm58hzy8y/srKCEydOBOonZIzFYhHFYtElgdVqNVc5OT4+jt7eXgDY8d6Sb3S8oaISN4NsNouBgQH09vYik8kEmsRGQZSCMPeSXXno0KHAwrv9/f0YGRlBKpXC8vIyFhcXUS6XQ+SannGlP2W5XMbKyoo7r6+vD4VCITCbb5UazkqCLQlNNOqcCH5GPlcsBM590PcT5SD8SU9PD4aHhwPHsSUjBVXc9AbY4CTEhfIFUzuLN7QrsV1MTU25VZBkZaqrV69eczGT8fHxwEI4Y2NjrhORKIrR0VFXQyFKRMq42WzmHovr6+supCgzsbgsvb29iMViWFlZwdzcXIDj4P+1ThpipSDbdNajvgYnWEVlRIqlIaQon89KRapWX375Zfze7/0egI3K14MHD2JgYACVSgXLy8uYm5tzvTDaWWoeW8K7EjsJMXcrlQpKpRIajcY18/6BTYIukUigUCigp6fHJebkcjkMDQ2hVCphZWUlEJfncKTUSvCK0yKMXNYtwlmr1Vyat0Qs9MwuboauTOTcCXluJh6j8iDYouDMRG5nF5Udycqoq6sL3d3dGBkZwWOPPYarV68GnkXCuEtLS6EVpzx2B14xbAM3QmqNj48jk8m4modCoeBCkMLKW2uxurrqknlEOOPxOKrVKmq1GpLJpMsFkJmX8wV041g5LpVKucIw4SZYsHmRGAEnfEUVa8kx8lnnP4grofMudJq1nM+fuTR9dXUVzWbTlaeL8kgkEq5AzWN34TmGXYLMxNKgNJ/PI5lMIpPJ4NChQ+jp6XE//Fqt5gRaZkSeedmdkBmUFYK4HyI01WoVa2tryGazGBwcRCqVctYGN5YR/qJWq7nMT3kv1o7OdtQJTRytkOcGoglMdkeEsBSkUinkcjkMDw9jeHjYjVn6ZNRqNeTzefT19aGnp8evSbnL8BbDLkFmSJm5hf1Pp9NIpVJOEMUKiMVirg+DKBQJTXK4ENgUNlEmXDMgZJ3kDkjvxVKp1DZtmfspiKXAtQtAmBvg6ILmLrgsm/Mg5DgZL7sfokiSyST6+/uRSCQCFoi4X5lMBul02rsTuwxvMewSzp8/70J1UlmZSqWQz+exvr7umrhIgpHUV/CMKwVEUq4tfQqAzTZyLHwSBZHQofAhPT09rgel3E8ETyAWgigpXavBRVgCVhJRxKa853P5PgK2QCR8WygU0Nvb655bSuZ7e3vR19eH/v7+m16X1KM9vMWwSxgfH4cxGythiZXQ09ODfD6P5eVlRyYyySiKQARdkp+kulLi/mIRiBLQDL8k/QiZKQIFIDI7Eth0fcSC4bwHuZYoLeYetIsQFebkY6MiFnJNIRll+Tm2fOT7sNYik8k4ZcGp6h47B68YdgldXV3I5XKOW5AZr6ury7kQ8sMX3kAaxHDyjwi98AMy44rQM8vPXZYF4mLk83nHIch2USbshmgXgAU9qsqTEcUzsDUj99J/zEdw8pNuhCtErDxvPp/3q07tErxi2CVIJaG4ETLLCdEoQiBCzzwCp0OLBSC5ClwIxZaCKBcWYIlqrK+vu/Lv5eXlgHKRe3HHJQAhgeWwpezXhV28j3MvOKLBykPGy/v4PvyqlZDwNzfaWMdja3jFsAuQ6kvx7WU2BzaElRvFlMtl50YAm41TuP8AVzvKtURZiHIRSIaguAuVSsWFLyVjU9KL5X6cUcn8A8/qOnuShVULreyX160SoZhQ1fdi5QIgEGKV70QqOD12Fl4x7ALE7M1ms0gmk+6PCTZOVgI2f/TtshBFcOO6JnoAAAyuSURBVCRhiq0KXmWbZ2C+z/r6OtLpNHK5XICDkJmbxyAEpJzHUQa5trg1UeXYAu0u8J+4QqwYmNPQRCffX+7L60547Cy8YtglpFIppFKpQD9Jzmzk5diYqNOKQgST18Ws1+su2YcTo8R6kOuI9SG1Fdls1vV20HyAvGdrRldFRhGL7AKwouAiMr4+k6SsxORVJ2KxO8WRGkG7cnmPm4NXDLuAdDqNvr4+J4SiJMTn5x++MPEiHJpQ1NyBCAiwueqSWAXCVXAJtQjq2toaYrGYq9MQF4MFVXIXkslkoLmKQISZIxhAeDk9thL4Vc5nMpOTtzh7UpKvJA29Uqm4fpgylnK5vOWiQh43Dq8YdgG8JB3PclpImOiTVZ5lvwhfFMfAM7sIp7gVIlQAXNo0Hy+WB+cgCHQKc1QUgmsr9HnsYgi0O8Hfg45e8LOsra1hYWHBJX1Jl+9mc2MdkGazec3VxjxuHF4x7AJk5hUhEoGXBCSe9YFNgdP9F0Vh6GvyedwyXmZbOZ6Lq0QZyHudkMQKq1KpBJSLFmIt4PwqEOUm92LLROdv6JwGqe+4cuUKALiuWcvLy6hWq24FbL2YrsfOwSuGXcDw8DAKhYIz6yV3QSIJvPiKCA6nJQPBcGBUajGb7SykqVTKpVKL8Mg1arUauru7kc1mXZk3C6rcjxWNthLk3pxopYlCOZeJS9kmz8wug34OUU6lUgkAkMvl0Gw2ceXKFaRSKZe0JRaRx87Df6u7gN/5nd8BADz33HNOYGW2Z79ahCKRSLhwpl5ZiglJOZbXkOBohlgVvLy88A3WWldcpQk7TkACgoooihDVws5hS1ZYfB2+l+xnt4kjDgBcxWkqlXIt3KrVKozZWMpPmsl6i2F34L/VXcS73/3ugL8uwsDhxXg8HkjU4TUUgDBTL2DBFIXAIU0dRmT+gC0UuVY7wpDvyzwH11Noy6LdZ53HwKFZvo8s/ANsWC+Li4tYXl7G9PS0UxAcjfHYefgOTrcIly5dcjO5rFsJbCoCXmBFFInmAoBN4ZTsSRY2rjfgLk/iRiQSCfT19SEej2N+fh4rKyvOrRFLhhWHQLsxQJCoZJdHoBWKXIcJT1YYzMFcunQJFy5cQLFYdP0dGY888ggOHDgAYwzm5+cxNzfnW7ttD9vu4OTV7S3CgQMHcOTIEZdpyEusSTEU10Mwj8Bg60NzD1wurZOgxEKoVCpoNBquaQy7BwIJFTLvsBV0fkO7fdpy0LkRmvyMen4ArgWeKD9fL7Hz8IrhFuPOO+/Em9/85sACMel02q2jACAgkOwqSHm2ZC4KWLA4HZrdEiYWxVcXXkMgygXY5DoAhKIhsp/b0GlLIkpJtLMW+Bkkd2F9fb1t1SQrRalD8Y1bdhaefNwjvOUtbwEAXLhwwXV7ZlJSZ/8J1xCPx1Gr1QI8hQ71AUEhZwtDIiPZbBa9vb1YXV0NLGwrx4tZzytLAUHOgrkBjlDoV+ZJtMvCLsn6+rrreq2Vn0Aa7MqzyHehlZzHzcFbDHuM2267DXfccYezHkRoOIQYNftqF0AETzIXOUMwiheQUCV3b2ZiMUoRyHEaOjIhf3JvTq1udw0RdMlVaJfqfP78eTQajUBGpCgRbzXsHLzF0CG4++673fvvfe97rgM0s+9M3onbwK4CuwycI8BhUhHQSqXilrkTTkGUAydkMTEo4JCkKAEWZK0kZDwyFnllF6hcLuPKlSu4cuUKKpXKlmSihGQrlUpg6Tpfgr1z2JZiMMa8AmAVwDqAhrX2bcaYfgCfB3AEwCsA/oW1dtFs/BLOA7gXQAnAv7bWfm/nh/76xT333OPe//CHPwysFsUCm06nQw1bo4qjODuSFUyj0XCl2MVi0UVNxGoAEFA+DMmhYKWlLRM+Jyo3Q9yHRqOB+fl5XL16te2K44ITJ04gmUy6kCYf6y2GncP1uBL/s7X2n1C44ySAb1hr7wTwjdZnAHg/gDtbf/cD+KOdGuwbEW95y1tw9913R2YPMs8ABKsjpfhKhFGUi84riMfjrhOSjoyI8AvhqYlCVkY6v0HAkZIot6TRaKBcLmNxcRHFYhFnz55t+12cOHECfX19SCQSqNfrIQXiW7ztHG7GlfgQgHe13n8WwDcBnGht/1O78Sv6ljGmYIwZs9ZevpmBvtHBrgYAfOtb30Kz2XQl3SLIUochLoH274HN5ixMLOrwIJOGwkfoNR7keC7+0lmOcm2uAwHg2ubLiuOLi4uutV0UTpw4gUOHDsFai6WlJTz55JM78r16RGO7isEC+KtWItK/s9Y+C2BEhN1ae9kYI4sPHgTwKp17sbUtoBiMMfdjw6LwuAG84x3vcO9feOGFUM0F5wp0dQVXn4pyF7TyEEtAlIDkDci1teWh+QjuEcH7RZnU63UsLCzg6tWrbt2IWCyGiYmJgCUwMTGBTCaDwcFBfPSjH71F367HdhXDr1hrL7WE/+vGmP9vi2PDfb42FEtww4ZyeRZ4Y2Q+7iZ+4Rd+wb1/8cUXAwVPOhwokQhRAo1GwzV8kdwFrgwVJSDKRaIMHD5lpSOEqUBHJiQ5aWVlBRcvXnQt7gFEFkT5jMa9wbYUg7X2Uut11hjz5wDeDuCKuAjGmDEAs63DLwI4TKcfAnBpB8fssQXuvPPOyO0//vGPXY8ITnyqVqsol8uBik+GWAWcag1sugKSlFQqlZx7wpwCV09KOHJ1dRXFYtFzAh2MayoGY0wWQJe1drX1/tcAPAbgywDuA/Bk6/VLrVO+DODfGmM+B+CXASx7fmHv8Uu/9EuhbS+//LJbMFcyJtnCECEXy0NmdC4Mq9fruHz5MhYXFwHArQnBRCR3mFpZWYmsf/DoLGzHYhgB8OetH0wcwH+w1v7fxpi/A/BnxpiPALgA4Ldax38VG6HKl7ARrvw3Oz5qjx3B7bffvuX+r371q6GsS92hqV6vY3Z21gv76wydUl25CuCFvR7HNjEIYH6vB7EN7JdxAvtnrPtlnED0WH/OWju0nZM7JfPxBbvNctC9hjHmO/thrPtlnMD+Get+GSdw82P1tRIeHh4heMXg4eERQqcohmf3egDXgf0y1v0yTmD/jHW/jBO4ybF2BPno4eHRWegUi8HDw6ODsOeKwRjzPmPMC8aYl4wxJ699xq6O5U+MMbPGmB/Rtn5jzNeNMS+2Xvta240x5g9a4/6BMeae9lfelbEeNsb8jTHmeWPMj40x4504XmNM2hjzt8aY77fGebq1/agx5tutcX7eGJNsbU+1Pr/U2n/kVoyTxhszxvy9MeYrHT7OV4wxPzTG/IMx5jutbTv3v9cltLfyD0AMwE8B3A4gCeD7AO7aw/H8TwDuAfAj2vZJACdb708CeKr1/l4A/xUbtSHvAPDtWzzWMQD3tN7nAfwEwF2dNt7W/XKt9wkA327d/88AfLi1/Y8B/K+t978L4I9b7z8M4PO3+Hv9GID/AOArrc+dOs5XAAyqbTv2v79lD9Lm4d4J4Gv0+RSAU3s8piNKMbwAYKz1fgwbORcA8O8A/Muo4/Zo3F8C8M86ebwAugF8Dxup8vMA4vp3AOBrAN7Zeh9vHWdu0fgOYaO3yLsBfKUlSB03ztY9oxTDjv3v99qVaFei3UkIlJcDuFZ5+S1Hy4x9KzZm444bb8s8/wdsFNp9HRtW4pK1Vqq2eCxunK39ywAGbsU4ATwD4AEA0phioEPHCWy2Qvhuq4UBsIP/+73OfNxWiXaHoiPGbozJAfgvACastStcx6APjdh2S8ZrrV0H8E+MMQUAfw7gzVuMZU/GaYz55wBmrbXfNca8axtj2ev//463QmDstcWwH0q0r7TKytFp5eXGmAQ2lMK/t9Z+obW5Y8drrV3CRqevdwAoGGNkYuKxuHG29vcCWLgFw/sVAB80G/1NP4cNd+KZDhwngGArBGwoW9cKoTWmm/rf77Vi+DsAd7aY3yQ2SJwv7/GYNKS8HAiXl/92i/F9B25xebnZMA0+A+B5a+2nOnW8xpihlqUAY0wGwK8CeB7A3wD4zTbjlPH/JoDnbMsx3k1Ya09Zaw9Za49g43f4nLX2X3XaOIGNVgjGmLy8x0YrhB9hJ//3t5J8akOi3IsNRv2nAB7c47H8R2y0oKtjQ8t+BBt+4zcAvNh67W8dawB8ujXuHwJ42y0e6z/Fhjn4AwD/0Pq7t9PGC+BuAH/fGuePADzS2n47gL/FRnn+fwKQam1Ptz6/1Np/+x78Dt6FzahEx42zNabvt/5+LHKzk/97n/no4eERwl67Eh4eHh0Irxg8PDxC8IrBw8MjBK8YPDw8QvCKwcPDIwSvGDw8PELwisHDwyMErxg8PDxC+P8B+KB+7ZeC71YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c329b3240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31f860b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c317136a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3213d390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31a0c588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31dc4438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31da10b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31f86828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3017d0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31de0518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3023e550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31a58550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yqj5E14UQApDZeDXHpJ+a7Icn9SwP8ZWTcqzM9EJKOg9CjhU/ib+v3Ic+LpFI0NfXx4EDB8LiuHcRgvNxDcjlcpG1IbW/QAu8wNcgtCNSZmbfSah9AvIeorO/RpwZ41dpyrn83hCr5TFIwxhfi4EmOYbO0ncPgsbQwujoaOz2iYkJtyCM9i34xUlAZKbVM7wmB00mfr0CEMk1kGP92V8EWsjFz4HwoTtE+bkW+lzaV+H7QFKpFMVikRMnTqzL9x2wvRGIoQVjTCw5SOMVna4sAuiHKwWrORHlMx2J0NpHnINRBFcLMhDJuIRohqMf+tQagTZrtCNUmxVyDj1uYwwDAwPs37+fhx566Ha/7oBtjkAMLcTNtNCMSGjzwTcBfJ+DPo9ukOLP8v6+WoB1iDEuW9K/PsQnPvmf+cfo11o70CQix0u36t7eXnbv3h3/JQbcMQjE0EI+n2/rrzgxMUF/fz+pVApYacB6PSHXqrpvMojZsZpPQByWfv2EJgM9g2t/hGQ8ylh880CbCXJMXHhSSEm0CIGQYjqdZmBggI9//OO3/mUHbHsEYgCOHj1KPp+PCPrExAS7d++mv78/Ily+Kg6r5xZoQlhaWqJer0eapPgaiHZo6rRmH766r0lKEqf8vAVYiUzU63W36rU2J+SRSqVcSblOhpLxZLNZDhw4wOOPPx7qKe5QhKgETeHp6uqis7MTaDoic7kc+Xw+1sTQ9rsWUt/k8J2PvqdfSEOPQ7b7mY7yuW4b55NKnIYg1xQi0Ona/r3JOGW7jE20G1lHE5oa1vDwcBshBtwZCBoDK/UEWnC7u7vJ5XLOsegLnrbNfaedDiHGJT7p/AXtePTbvuuCqDgfgm8OyNg1EWlCajQabs0JEX4/+uBHIuIiGWJSFAoFhoeHmZiY2NgfKGDTEYgB6O7uxlpLpVJx23p6ely2o7a/9SzuZw76M7Hv/fdDj0I6tVqNer0emcG1n0IiEHJt3S4e2h2Pmpj07C8agDYR5Fy6LZzWdMSskKQofe1UKkVfXx+HDh3i4Ycf3vgfKmDTEIiB5iy7tLTE2bNnAZzNrVOF/Rld9tOJQX6XZl/d94+Ta/vH+MSir+n7DvS55PO43AjxHfgFYHIuQVyYUh7ikPQdrcVikT179oSWcHcQ7gofg7REf/7552M/l1kZ4PDhw5GZVOCv2yBkEudjkJndzyfwowB+CFQLtDZV9DnjOj6tdqz+HFZISMYTR3Q+aejvSPdt0MeI01JrXAE7G3eFxvD888/HevcFlUqFcrnM+Pg42WyWfD5PT08P6XQ6onLLjOmnNvvCqfMX9DZRxWVf3wGo1X0dVtREov0Zso9EIuQc2rdhrXWOR5nh5dkPvQqpyJqWcaShTQrtn0ilUuzZsyeYFHcI7gqNAZpC9Oijj7pFX0ulUmQRV91ANZfLRYqmtPoMRGZwea89+lpwtcD6WoM8y3Gr1TpoDUSIw3eW+tqKjOt6CVAaOnMzTpMQohNC8JOgoLki1q5duzh27Bif+cxnbubnCdhmuGuIIZlMcvDgQddXYWFhgWeffZbp6WknlBIFyOVyLhIBzexH3SbeV9u18Inw+j0V0+l0pNxahE3g+yW0szGVSkU0D8mFEPh5DAK/8UucmaErOfX9yH3K+XzSk3FqTSyRSDA8PEwymeTUqVN86lOfWo+fLmALcFeYEoJsNuuarhQKBUZGRigUCiwsLDA3N0etVgOI2NKiKotA+hEGWL1fgtY2tG9AE4bvm5B95Fz+fvp6vnPTz52A6DqVfuQiTtA1SUC0VkOnS8v3pJ2uOow5MjISWtDvYNw1xCCzrJ4RM5kMAwMDbUQgy9j7AuULkh/K1NfyBV3nLOgQpK/Sa6EXIdfai6+1xEUUNKH4zlFtnsjxcZqPzl/Q8ElBd4GS66bTaXp6etxnATsPdw0xaNVXZrZkMkl3dzfFYpFsNktnZye9vb0u41G87eKM0+aB1E3EzdJCGLrewPcBSOhQj08LqCYe357XuQZCMJo8ZBzab6DHDlFHqd+OXptVYkpoIfdrN9LptHPUSpQin88zMjISUqZ3KO4KYpiYmCCTybC8vEy9XneLvsrKTLVajUaj4ZayFyHQyTy+Gq9nZYjO3Pq1b+fr8ui48KD/WojHd376jkf/Oa6iMy4M6UNrHXp8cr+yTWeD6oxJHb4sFov09PSs6TcK2F64oa5njOkC/ivQ2dr/P1lrHzXGHAS+ABSBbwL/0lpbM8Z0Ap8D/iEwBfyqtfbCBo3/hjh16hTd3d3k83nm5+ddaK2zs5N6vc78/DyLi4uR4qalpSXS6bQTCJn5/TbtIiCNRsPt40cBNOQcOs0ZaPMt+M5FHeLU5/Y1DDmXXENCrZoQtHCv5tfQmo9PgkI2ug2cbPfNi1wuF7o+7VCsxQisAj9prV0wxqSA/98Y82XgN4DnrLVfMMb8FvAx4DdbzzPW2ncYYz4CPA386gaN32FsbCwivOfOnQNWkpeMMdRqNacaS7Xj3NwcTz31FADHjh2jq6uLarVKNpsFcFqGThmWa2h7W9RuiSCIAMpnevb3w4rawel7/4G22Vn2kTGIcAoh6BwD+Q7EJBJoHwpEszEFviNV35d//7KvjqCkUqmwaM0OxQ1NCdvEQuttqvWwwE8C/6m1/bPAL7Ve/2LrPa3Pf8r4U+cGIJlMOlNASAFW2pqJt1zWngSoVqssLi66favVKpVKxUUnBBK207a8Fk4RMD+pSWbVOMelH3FYLa3ajw74DWa1lqHLurVvQo9ToE0PP03a10R0hMV3dvr+Bu2L6OjoIJPJhCKrHYg1+RiMMR3GmG8Dk8BXgL8FZq21EjS/COxtvd4LvAHQ+rwE9Mec8wFjzNeNMV+/vVtowu8doLeLc6yrq8s5GwcGBujs7IzE/c+ePUupVHImhxprm+BrdVsg+RB+ibPvj9DHyUyvj9FC7R/v+zhgJdNS7lcTg0CHS/1+DTIOuX5cGFZ/D/q173vwozXpdJru7u41/44B2wNrIgZrbcNa+w+AEeD9wH1xu7We47SDNq+XtfYla+391tr71zrY62FxcdHN9Lp349LSkosQSA5DT08PQ0ND7Nq1y/VgEDQaDebn59salvg+A91pSaD30ZqFb4v7wqNTreW8WsjitAq5t2q1CqwQoM6MbH3PERKQ70L20Y1aoNnERc7nZ1nGOUn1/cr4pOMVNIlmaGiII0eOrPm3DNh63FSg2Vo7a4z5GvBBoGCMSba0ghHgzdZuF4F9wEVjTBLoBabXb8jxOHfuHGNjY6t2PBIBF2FsNBoUCgUGBwc5evQoHR0dLC4uRtKf/YQeUeVXiybo2VSe4zo1yf5xzkSBtuU1afj7+r4KTUj+dyHaidYq/HZwsp9c379H39ehtSn/PuV7y2QyQWvYYbihxmCMGTTGFFqvM8A/Bn4A/Dnwy63dPgq83Hr9xdZ7Wp//mV1LnOw2MTY2xtmzZ13F4+joKEeOHIl0eNZ+AWMMmUyG3bt309nZ6ZKaRLPw7XM/9Ke1g+up3FqY4qIAso+MUd7LtbQJICaH+C60f0Afp7dpFV+PwS/O0r0e5FwQbf0mx8f1pNR+Ft9k6urqore3dx1+5YDNwlo0ht3AZ40xHTSJ5A+stX9sjPk+8AVjzP8FfAv4ndb+vwN83hjzGk1N4SMbMO425PN5gIjj8ciRI24VKW27w0qSkCTilMtlFhcXyWazZLNZ53CUfbXw+j0PJPzoO+w0arVaZHb1IxIyw8usrzUG7Qfxw6N+joOfJ6GPk21aoDWpCOEICWino2A1cvMJKJVKOX+LRCdOnjzpIkAB2xtriUr8tbX2x6y177XW/m/W2k+0tp+31r7fWvsOa+2vWGurre2LrffvaH1+fqNvYnR0lGw26/ouCM6cOeNsXvnT65JiY5q9Hvv7+11xVbVaZX5+nmq1GolCLC8vU6vVIl54iGYhCvx0Zznez0T0E67q9brr5qSzEeUcvmMV4tew1Mf459EE5ms5frGVJrDVMidX8z342lVnZ2cwJ3YQtn3m45EjR26YVitFURKG1Lh27ZpTw7X3XOcMaFNicXGRyclJSqWSy3vQQgBRMjCmvcJQ9vXVaq3G64iCL6j+GGWbpFKLk9E3DbT6HxfF0D4A36Eo1/Qdk75ZIPfrk4hvLsl4taNVckMCtj+2XZXLkSNHIn0SMpkMiUSCkydPRrILxQzI5/P09vbGkgLAo48+ynPPPUc+n4/NK5BiqkKh4LL0qtUqCwsL9Pb2RnoyQLTsWTvntEruLxajNRVNJNou96MPsOJ0XF5ejjRm1bO5vNdCrxOOtE/FJ0d/7H5hlYxROyJ9X4X8Fv64dBOYRCJBOp125l7A9se2I4YzZ84wOjrq1PzOzk4ajQbXrl2jo6OD7u5ustmsq+CTUupEIkGxWOSxxx7jsccei5xzdnbWFUr5vgZoClI2m2V4eNj1asjlcpFoQJytrYXFd+JpYdOhSS1oArHFxbbXKryMT9vvegx+AxhYIRRfrdf34R/nk5QmFF+j0QSivwPtNPX9LaLtBOwMbEtT4ty5c5w9e9ZlJorN/eyzz7reCbOzs0xNTTEzM8P09LTLPRgZGWlrSlqpVFwocrUoQTKZpK+vjz179rBv3z5HDBBdxEUiF3rW930B2kuv25/ptGo9Foh2ZNIZkPJeCypEbXjZrrUWvY+OQuhz6DH759Dv/XvUn8fdiz5WE1wqlWJ8fDz+Rw/YVjD6x9yyQRhzS4M4evQoyWSSbDbr0qELhQK1Wo033niDJ598EmgWUg0PD/POd76zzYOvZz8ppV5eXnZmi05wEvgqtWxb7XOdDCVJQCJsurZCCEDGpdOL464lgu8Lvza3tIYSJ+RxkRKtNej70qaR3KN0q9L3LvciqNVqVCoV6vU6r7zySptGF7Bp+IZdY0LhjiYGwCU1yarUfX197Nq1i+npad58800qlQqZTIb+/n7e8573uDCaXynpC3A6nXaficDKdyU+BvE/QFSY/OiDbsbq2+SaCFYzQaB9zUlfbZfPZF/tc5Br+olScfckJofvZJTt+joyBv96PlFUq1VHum+88QYXLlzghRdeuNWfPODWsWZi2HY+hpuFrAXx0EMPRdT2gYEBlpeXeeutt5ywSpWkQDvIgIig6O0QXTVKe+QFvrdff67PrwlABC2ZTEaiFb6Z4M/Kcj2t7ejKT00cGqtpGn6oUhOljFnfo+8f0aQl54rTLiQyEaIT2x/b0sdws5iYmGD//v28613v4uDBgy5KsXv3boaGhsjlcq47tJ5pYaWsWvwI2smnBUzP8nKszlfw1XSt2mtbXByMgDNXtGBrM0BrEwLt49AageynnYqabPRDR0nkeE0aWlPQ2o/vP5H78r8HfT/ab2GMIZ/PMzQ0FFtxOTExEfpEbhPseI3hoYceYmRkhJGREZfhKH/MdDpNsVh0wqSzBUUQdFahn6ikySEusUl/pgVZz8ayr9YG4kKcej99fT2rQ7TRiuzjR0v02P178UOPoq3o78E3C+I0D3/scePVhKi1o1wu16Y1jI2NtSVjBWwddrSP4cSJE7zjHe9g165dkZZssDJji+NraWnJhT91VEH3c/RrDOQ5LizpOxj9bdAuYHEOOxmzVIFqNR6i61Fon4Qeh9aAtDnh35N2rPrO1NX8E/K5vh9f+PX9yvV9c0Pa54l2dvXqVV5//XXK5TLGmEgq++joKOfOnWN0dJRMJhOpD9H7Bdw07g7n4yc/+UkOHTrkOhL7MXr5I0rKsUQZ9BqMMltqm9pX6SGakiz7+qE9/eznEQi0cANOSP3ziXDHVYv6kQJNKJpIdE2F7OtrANoM0uf2zS0hgzjfhT8WOV7OJb+B/p6r1Srnz59ndnbWEZb8NrKORyqVore3l+XlZarVKvV6ncXFRUql0qrLDQZcF3eH87FQKJDL5SIZkTq5R8/QenZbLcyobWJ/JoRo0ZGGP6PKuXzvvH5oYYvTSvS1/BlcE5SMWSdY6c9WU/XF9BFtyXe8asLwIyB+NMQnExlHnI9B9pMIUiKRYGFhAWst3d3drkS7s7PTPYQ4hRjm5uZ4+OGHmZ+fj2TJBqwfdrTG8PnPf56BgQGXLuxHBPS9+R2S1LWBqEddz47rqaPWAAAgAElEQVT6XD5h+PvKPnHC7jsQ5b2uufCPi0vIkofWDPTsru/b9wVoYvCTkrTwam3F9xfIuWTfOH+EJgbZX8KkYhZIkxkpGoNm81hZHlDO73+P0NRAFhYWKJfLXLlyhaWlJSqVSlj56sa4czSG8fFxkskk9XqdM2fOuNWoM5mMczZCe4KRL6Q6Hq8/81uhiVrrhwz9kBxEY/9+voH24PvXhpUQpHYG6nP71/Ntfl8g4zQZX/OICy3qJCidVKXH4fs5VtMW9HegCUh/5/qashYFNE0qWetDL2IjkOPkdW9vr0uNr9VqTE9veC+guwo7QmM4duyYs/+lurCzs5N3v/vdLnU5zhG4moff/8PpRCWfGHwtQavq8t7alcIp34SQfX3vvK8NyLm0trCaI9DXFPQ59fXks9WiIvoedYdpf6b2tTE9LmOMc5zq/XyzQy+Mo18Dka7Wvtamf1PtXJbft1qtunZ8f/d3f8fU1FRInlodd47GAM1qR/kDiq1ZrVZ5++23McZEwpRxUQPxiktptS+49Xo9IpxSBakdd0DbHx6iAg7tcX8/0qA1CQkVxqnzcrw+t8y0vu2v71cTik+Mfmq3n1ClHZ1ag9HEExdO9LUfX4PxfSc6k1TnTfg+HT12n6hku1TVSsTp0qVLHD9+nE9/+tPtf6SANWNHaAyr4eTJk5EkJt1+TP+BtQDo7kSwehGUzJ6ipchn8qzVablGnLnhRwQ0NOn4s71si/MDCMmIUGktx9c0fHLQ1/HNF32POioj+wmRyf3IfnHklkwmIwlU+nexNtotSgu6PK9mGgl0Loqcr16vUyqVuHTpEhcuXODFF19sO8ddjjtLY1gNTz31FMePH6fRaLB///6IOq//iPIn1H/guIpF8dBDe1MVrWKLUMkff3l52WVVynuxmUV4RQORMfgmi+80lPNorUePVZs//oyrn30iiJuN48wawWqmmQ/fp6O/R31eGbd8B/pYgfYLac1PfzcydvnuRNvp7e2l0WgEn8NtYkdrDIJHHnmE9773vfT09EQcXWLP+qQgarMswirbRbi1Si5CL8eLkDcaDWZmZpidnWV+fp6FhQX3R5dkq97eXpfll81mI81WVoNoAH7fRT2T+7kIWmi0EGkzwCcN/zgtXL5GpLWD1XpKxJGZb+r4WoWU08u5dRt9PQ5Nbtrkke3aCSwTweXLl3nzzTeZmpri2WefXf3Pc3fh7tAYxsbG6O3tdZmP+k+r/9yiZgJts7hvE2uvufyx0+l0hGCq1SrT09NcuHDhus1Nx8fHyWaz5PN5du3a5crDpXJTzqcFUms3EE0U0sKqKza14Ii977/2TQR5LferZ2f/mgLfXNLkJIgjIHkvRKXNLJ+4tPawmiYl5/BNOzmuo6ODwcFBOjo66Ozs5MEHHwzkcJPYsRrD2NgYfX19FItF+vv7KRQKLv7tO/rK5bLLsOvu7qa7u9u1ldfQuQ7aZpfzSSepqakpLl++vOa4+ZEjRxgYGGBgYMB1oNIZjzJbyhh8B5uMCaKp1RDNg9CCo4lB4Kv7QgLSQ1JHAQSaPMXvIteIIwFNqHEaRZy5pEnIT4rSTk1fc9Db/O9geXmZSqVCqVTijTfeYHZ2lnK5fLenVN+5GsPY2JgrxBkYGCCXy7kZWIRMsLy8zPz8PFNTU0xOTlIulykUCgwPD5PP59vi5n5YD3DJOJJUc+nSJaanp3nuuefWPGbJzjt16hSDg4OuhZw0gZFratXbn0m1IGpy0O3afKGWlbniIhdyDU0wOoNUn1/7BwR+LwoZqx6j1oTitBE5Rjswtf9BO1PlnH5imOzn3zs0TTpjjGsIHLB27DhikKXjfBscVlRxcezVajUmJyd56623nMo/NjZGuVx2Kn0+n6dYLJLJZNqKsASSWSct5W6GFDQ+9alPcfr0aafdWNtM8pFr1Wq1tpBhnK2vTR/tJJXvI26G1/a5+DEgSobaPxN3Pa3a+4Kocw8EmlT8Y3xzxvd36DH4hKhfyzXl/6BNIiFMv9FOwI2x44hBfmwRfJnxRdAajQaLi4tUKhVmZmZ46623qFQq7nhp7CKYmJhgfn6eYrHo7FL9J5I/oAia+CpuFaVSyXWVSqfTEYHVgqVDpNp7D6wqpOK09OFHNLRjVc/W/mwsx2jV3Xck+s8C7T/wfQFx19KORHnv+yLiyFDvq8lAXzeRSFCr1dw6nwE3xo70MRw7diyyFoRoEOIYlDx6IYHjx4+7TtKlUqltxj9y5Ah9fX3s37/fmSZ+xt7i4iJTU1O88sortx0f/9SnPsXevXtdl2sdOtUNY/RvI8IoWYYSKfFnWoiq53qWlc/0Q4dSZT/tf4lzXPrCrcOufoRAC6w2LzQJij/kRtqChhC1NAyGZq2FXqNUvq8LFy7w6quvhoKru6Hs+uTJky7c5aua+g8wOjrqHJTZbJarV6/y1ltvtaXNHjlyhGKxSG9vL/39/fT19blzJhLNKsS3336bBx544HZuFYAnnniCAwcO0Nvb66IpIli6y5QWSN1IxZiVLFARJhEc2QZNkpFFc0SIlpaWWFxcZGlpyfXK7OrqIpfL0dPTQzqdpqurq42U5Lpae9B+Ea21aL+IqPJ6X4EflowjQ20y6ByIarVKtVrl0qVLlEolEokE99xzD93d3c5cgmbW7CuvvMLDDz9827/bHYA71/kosNa2haDGx8fbQmjnzp3jscceo6+vj+7ubhqNBlNTU23nkwKthYUFFhcX6e7upqurC1hxtC0sLKzL2EVYdGNa3TxG7s83FwR6ppf0bW0SiMNU7kWa1cj6nFpjGh0ddT0QRkZGKBQKdHd3u5wLXdCkH35EQgt1nDPQ90Fov0Kc2aGv6X8n8p0tLi5y+fJlnnnmGQA+/elPu0Y8EkWqVCrr9rvdTdixxPD000+3bfOjEoJKpUKtViORaC5HF9f8BHAmwpEjR8jn8+zZs8eZFsYYuru71yUPv6enh3w+H1GfpZEJrIRNdV6GNjd0OrAOqWpBajQaLCwsMD8/z7Vr15zw+PDDdxMTE4yMjNDX10dPT4/rl3m92d4nLiGr1XIT/AiE3s8/pxCeaEKacPz7kuiDlHTX63Xm5+eZn5+/uR8o4M5oBis4d+5crB1ZLpcplUquEi+OPDTOnDnD9PQ0CwsLzlwR1bunp6dt8dybwfHjx93irpVKxWVNzs3NMTMzw9WrV5mdnWVxcdEttiMquvgVJNfBn5FFhZYwrMyY5XJ5zeN77rnnuHjxIm+99RYLCwuRGV4LsfhetJDHaQ1a64H2xjhyrjhoE0aetdlYKpUi+wuJybgkxHyX5y7cEnasxnAzOHv2LCdOnMBaS7lcXlNi0uzsLJcvX3bhURG84eFhcrkcTzzxBNPT09RqtTU5I48ePUp/fz+7du0ikUhw/vx5rl696oRPhEf+xA8++CCFQoFdu3aRyWQipGZMs9uyaD86EiEdj2AlsnGzgiGmxuOPP04ul3OVi1owYcWk8ZOUNEn4JofeB6J9HOK0CNlHnMtCjsvLzVZwJ0+exBjjlhjUWa31ep1r167d1L0HNHFHE4MkQ4nzbmpqynmwb4R6vc7MzIwr65XzSIm3CEy9XueJJ56gXC5Tq9UizjLJcEwmkxQKBdcZ+fLly0xNTXHt2rVVSeXZZ59lYmKCRCJBuVzm2rVrLC0tce7cOcbGxpwvoKenh76+vkhuh2Qz+g1ybxazs7NUKhXna9FOTu1s1KaNTxT6tU5UEujws/Y5yHvtSNRaRzqdZteuXSSTSRYXF0kmk5FwpK5pCbh53LHEMDY25haxrVQqN9081BhDuVzm0qVLVCqVNiccNGfnrq4uEokEPT09AC58qjMbBfV6nampKUdQN9I06vU609PTbU5WnYtx7NgxRkZGKBaL5HI5J0ySHZrP5xkfH7+l5iX1ep1KpUI+n49kRco1dATEL4OWxX10hCWu1iIuI9E3GTR0mbl09pqfn3emlkRWMplMIIbbwI4NV14Px44dI5VKUa/X+cxnPnPb5zt69Ggkp0HXOUhHKdEmJLrQ0dFBpVJxx4ivoFKpbEiHoccff9zVY0jLs0qlwtTUFG+++SYf//jHb+m8Z8+eZe/evU7QIFplKdBREYjvWSHwO2DHZUf6qeH6GhKGnZ+f59vf/naE9B999FF6enoYHBykVCpx4cKFUEC1gvUPVxpjOoCvA5estT9vjDkIfAEoAt8E/qW1tmaM6QQ+B/xDYAr4VWvthZu8gVvG+Pg4jUaDWq22bgkta9U2RkdH3Z9cC454yjfSCTY3NxfJaJSELmm/fivRlNHR0YgPoF6vu9d+kZeGmDOwkqYu2+Wh8zR8J6M+j05911mh4mfwfxsxfSQqEXBruBlTYhz4AdDTev808Jy19gvGmN8CPgb8Zut5xlr7DmPMR1r7/eo6jnlVyLJnt1rLcLtYTfAPHz684d2EdPWnON5Ere7r6+Oee+7hkUceoVQqtaWFr4ZUKuWcjjoFWavocQShBV2HHAW+s1G2ibmhjxNowpV0+DhSkkzISqXC4uJi7D4BN8aaTAljzAjwWeBJ4DeAXwDeBoattUvGmB8HHrPW/h/GmD9pvf5vxpgk8BYwaK9zofU2Je5GPPTQQ3R1dUUWbZEeEDLDLi4ucu3aNa5cucLMzMx1Q3knTpygr6+Pe++91zlgtQngd8vS8PtBABEfg5934R8ft1KX1jIajQblcpnJyUk+9rGPtY39+PHjDA0NUSqVmJ6eDi3eVrDupsTzwENAd+t9PzBrrZU83YvA3tbrvcAbAC3SKLX2v6pPaIx5ALj9/OIAHn74YacliODp7lXQnP1TqRTd3d309vYyPz/P7Owsjz32WCS92phmc93e3l4KhYKrOhW73y8HF/i1FXE5CH5YU+8v23xtwU+V1gVfqxVFiXaztLQUSOEWcUNiMMb8PDBprf2GMeZDsjlmV7uGz1Y2WPsS8FLrGkFjuAkcPnyY7u5u1zZOnJqLi4uRGV0iCfJa5zdks1n6+voYHByMJFAJMplMpI5DSCMuFVrgRxP8tG6/6tGHJoHVsiZ1tig0s1QlAiRZkDe6TsCNsRaN4SeAf2qM+TDQRdPH8DxQMMYkW1rDCPBma/+LwD7gYsuU6AVCZ87bwOjoKPl8nu7ubhd10DO5JD/pNSBlMRfJgtSzsaRYSwGVCFqtVoukVDcaDefU1AQhvTL9rMY4kyIuXRui/RxFA9DZlH6TFm1GyH5dXV0MDw9jjKFWq7nFcKVWJPgXbh03JAZr7SngFEBLYzhmrf0Xxpj/CPwyzcjER4GXW4d8sfX+v7U+/7Pr+RcCro8jR46we/du+vv7yefz5PN5ZxaIaq9LpiFaZBXXCEWThA7DyucS1alUKszOzkaKqZLJJNlslkKh4PpJaDPD1yR04pKQki6oEpVfp57rSlLJ7pR71n0ccrkcIyMjri5Eoi9iGgXcOm4qj0ERw88bYw6xEq78FvB/Wmurxpgu4PPAj9HUFD5irT1/g/MG4ojB8ePH6e/vZ//+/a4VnWgAGjrjUnv/tb2uyUJ7/yWcKD4GqcoslUrMzc0xOTnpzgVNgcxkMuzdu5dCoRCpQF1aWoqYLNDe4k1HHer1OrVajXK5zPz8vIsmVKtVR3TSQFfKwkV7kXZ+kuRULpeZm5vj6tWrlEol8vm8SxALtRIOG1N2ba39GvC11uvzwPtj9lkEfuVmzhsQxYMPPsiBAwcYHByMNHOBaHhQBE26WOul4kTlhujSdxBNQ9Z1Grpc++LFizz55JOrjnF0dJSBgQH279/P0NCQSzrSIU0xP/x2b+LPKJVKXLlyhatXr94wxDw+Pk6hUHCt+KRvpjaV6vU6+XzeLZSrNZ2Am8MdVV15J+D06dPcd999HDhwwPWilLU6ZZn4zs5O5z8QJ6EUOomJoYuJNIkItN2vCWN5ednN4NfDuXPn3Cwvx/rRA4HfRUpISKpJ15J38sILL7h1PLSGpFfMFuepH9EIuHkEOt1GePLJJ7nnnnsoFouuAEtsa1Hhtf2t07PFRte9DXVkQKBJQOcR6KzJmZmZNWWN6rFB+zoQ2nehISnjvj/hRjhz5gxHjx516eWLi4uUSiV3zbm5OedA1YsEBdw8AjFsEzzyyCPcd999DA4OuuIsvzGthB3j1OOurq5IFyTpQaHrNPSMLrOpXuhW+jfMzMzccLyf/OQnGRwcpFgsAkTMBk0yWjD95q2FQoG5ubmb+p7EfFhcXOTKlSu8/vrr7n6Wl5fdGqbSAPhmi+cCmgimxDbAxz/+ce655x4GBgYoFAr09fU5p5t25sWtwAS4Ai4xO0S7ECHRoT6JAsTN5qlUyhHS9XD69Gn27dtHsVh0oUtZq1P3r5TXElUQU0e6eheLRYrFoktlXwvEZFpYWODq1auUy2UqlQrPPPOMWxVdWvIHUrh1BGLYYjz++OMcPHiQgwcPupWqJLVZHiJkgHMy6nUfBZKbIH6HXC5HLpeLtNb3/Qx6Fk8kEmSz2VWF9fjx4zzxxBPs37/f9ZcQMpDz+aFQbaYIeYh/pKenh+HhYYaGhhgfH1/T9yW1G1NTU8zOzvLiiy+6qMPZs2ddTkcwIW4Pd2TZ9U7AkSNHGBoa4n3vex979uyht7eXTCbjVHvp6Gyt5dq1a22L8+r8BK0piJmh8wOq1Spvv/025XI50nZeCEfUcyGJubk551gU0yCZTLocCgmbCiH4uQqyTWx/HVHRCUti5szNzbkVvhYWFiJVoEePHnUz//Hjx10fzh/84AerOi1PnDgR2xM04C5oH7/T8cgjj/Ce97yHH/3RH6Wnp8cl8ojASEdn6YYspOA3irXW0tnZ6XpBiMCKMEquwMzMDHNzc86Lr30BIux+XoNcSzQBXTglJo44+uSavgPSJzHZLuOX68zPz1MqlZiamuLKlSuuelL6alhrGRgYcG39x8bGNvX3ukNw57eP38mYmJhgcHCQwcFBlyQkgiP5APKQBWj0DCy5ADI7S0KQkIGo2zpsJzUVEsGAFVNC8gq0U9NvHS/X0o5FPfuvVlSlE6w0tH8kmUy6NTZSqRSVSsX1apSiLmlXJ0QXsLEIxLCJGBsbo7Ozk5GREd71rnexb98+1xoOcLO5hBylpbyYFJLAFBeGkxlWFpYRLUI0ApmtJfIg++okKCGAuL6OsNJcFqKL2vop1wI5nzSx9QuptB9C/CPSLFfWCZ2bm4us6yGt+gI2FoEYNhnJZNKF+cR5B7iVlbRQAs5PIAIqs7gOQepl4dLptNMyhBTkmHQ6TTabZWFhwQmX1gTiEoREq/Abueryaz9KIq+1WeFXSWrHp++s7OnpoaOjw6U660gKcFPt8ANuDYEYNhHSTWnfvn0MDg7S29tLMpmkXC47Z6MIQLlcjpCCzOgivH5fBJnptX3vhzoljCmNa+WasNLDQIhGL3ajy7a1ryHu2jrZSVq+6+iJHyL1fQ/iTNXNZaSkvFKp3DCUGrA+COHKTYTY+vl83vVk1DO/CJE45PyyZTkHrLSzByL7i6dfaxlSyCRRC3F0amejXq9B+zFgxa+g/Ra+diD76QYxfnKTXqFKmx5+arY01JVcDPmezp07F5tJGbD+CBrDJiKVSrn1KGStCyAiwCJUcX0MdF6A7COEIOaE/5m/II3so4nFF3ZdFi3agm5uqwlEHyfnF2jTRGszcfUZ+t4EeoFdIam19qsMuD0EYtgkTExMODVeSoUBFyXQNni9XneqeK1Wi6j1OlwpWYWisuu6AzFHhDS0k7Orq4uenp6IZqD7HOikJKmFkH11irZcRxOLzqOQ+xPnok8McSFMP+dBErQ0YQRsPAIxbBJE2HXbNb/4yPcbyD4SrbDWOtvbX/1J1zyIUOkZW7QHea/9Bv4Mrs8rs7nf50G/1maBDqNqzcPXDOS6Wkvwy8OhGXqV5fgCNg+BGDYJ1lrXO0C3SvNzFLSwCJGIUEq4EqKlzDo7Uc4hmoKs3CQkIQQilZtaUHUXJ22+6LRpgU8oclzcfWvS09u1ZiL3IdqLdnSupX4jYH0RiGGT0NXVFWngKjOgpB0LhCggupy8ZCbqCkpYmZX9WV8+E+eijiBIDYYUNcm1dM2DbibrEwDgzBd9Pbmm3IdoD0KCAtkmx4o54idOyfkkzBqweQjEsEmQmc9fz1LXFmjnYVwSkz+r+3a3VuFlPy2gso8uzJKWbPq462Ur6kpN0Xx0ToIeiz5eazNaQ9HH6nvX51it1Dxg4xC+7U2CVD3KDK17LEq4UYQmLv4vgiTHx/V49Gda2U83XZWQol50V4ggTri1sGrtQav8co64hCU/tyLO+ajDrn4ylGgMkggWsDkIxLAJGB0dZc+ePRQKBVcCDSurQsOKw1B7+bVTT0KH0J6+7Ecj5Hz6vH4ehO6XKH4MEWwxIeT8Qlb+bC5j830f8rl2XPpagWgfWmMS8tFOUonaBI1hcxG+7U1AV1eXa+iqVW+t3mtfgs5ChGgRE6xUJvrhPu14hJXGqx0dHRGvfpyT0++6tJrJ4kcNfL+GP+P77yGqzfj+Ce2M1NGakNi0uQjEsMGQbsrSa0GnKWvhE5VcNAZ/rQg94/s5DzLL6lWlteCL80/b6lrr8H0Kenvc9eW97y+AFY3A951oQonzLfjX05mgcf6WgI1FIIYNxNGjRxkaGmLv3r3k8/lIpqIIhRQ9aQHQfgZJcvKzA3WmpD5OC5kIoyQq6RCo5ENkMplI8ZZAJyZpc0CbAFrYV9Mk5DOB9jnoyISG9q1oB2fA5iEQwwZicHCQPXv20N3dXAtYOxu1Y04vKKsTlUQIk8mkExbtoPM/j4tS6MpLnd/gp1/ra+t9ZRx+XoOvJfgOTF8jiQtp6hwNn2R8h2TA5iIQwwZhdHSUvr4+ent73VJuukAKVlR236fgz8h+3F/2kf38hWUEca/lerrng4RSpY9kXE5EnIagIY5DTWoCnyDiQq1x14CVsvPQnGVzEYhhA3D48GHy+TyDg4PkcjknjNJjQBqlAJGl1gDXnEUclb4JoX0PEtWQ99opCSvLw8lxsr1arbK4uOiETa+FqTMldYWn71uIIw9tJvj+CZ+kdK6GJjvZXzSdWq3G9PT0mlraB6wfAjFsAF588UUA/vRP/9QVK5XLZde/sVwuu6ImrcqL70BHLXSo0LfVYUUd104/X83XhLK8vBxp1CLqfzKZdE1lpQ37as4/Pz9Bn1sTiR9ZiYOvyeh9hSBkPcuAzUMghg3ET//0T/Pqq6865+G1a9dYWlqiXC6TSCRcSbEWIB3OlBlcC5neXzsw/XwCCVFqB6ROdtIqvbzO5XLk83mq1Spzc3Our4MmBj/ECu3mzWqf69e+c1QTmb6eLHr7wgsvbNCvFBCHQAwbjHvvvReA733ve6TTaSqViuvLKPUK2iEpmoM0coGV6khoL2rycyAgKnx+FyeIRkK0qSFVjHLtcrnszA2twQjiwpmauHT1qE8uOjFLRx20ZiTdo2dnZ9fp1whYK0KR+ybhh3/4h7n//vud4OkVnIQAZA0IafEmmoZOn9Z9HKRCUp6lKMo3OYwxrr08EEmHFmJIp9OuVFt6S+pkK4H2Cej3cfkQ/v6rmRPa36DHXalUmJqauqEZMTo6uqbfIGDtCBrDJuP9738/AN/5zneAFQehCKDY9NVqNZLKrEOaejbWJoKGzoUQ4dRagq6TEOKw1rpW9IlEwjVI8UumV6urkHHpsKjsL2PXRKI1BZ31KGOuVqvMzMxc14wYHx8P4cwNQCCGLcKP/MiPAPA3f/M3zgTQGoTOW9CCKVEIXfykCUO0B53EFFeQJetiLi0tsbi46M5Tr9e5du2a00Cy2awzf+S62i/haxA678AXfF978E0h2S6m1szMzKodoU+ePEkymaRarYZ28huAYEpsMd797ndz6NChSPcm/yFqvjgFZ2dnmZmZcatLLSwssLCwwOLiYqSEWlaYEqH0TQ8JUerwoO7OXK/X3bJ0fgZk3Dhh9WYt2lSIy5HQGk2j0XCL7XR2dnLkyJHI+SYmJuju7na+Elm7MmD9EDSGbYJ3vvOd7vX58+eBZvFVOp1mfn6e+fn5tjCjnwMgnZXz+bzrrqxVc5mls9ms2y61FrVazb0WX0YikaBQKNDR0cHs7KxbQ1PMEZ8QdMQC2ouk9Oc61VmbHpVKhUuXLrnrd3d3O78KNBftkfFIrsXhw4ddiDhgfbAmYjDGXADmgQawZK293xhTBH4fOABcAP6ZtXbGNH/9F4APA2Xg162131z/od+5OHTokHt96dIlp1JL30jtU9Bp1aLGSxKVTwJ+2rR2GGry0CFEay35fN7lYEg0QZeB+/DJQPsWdNt60VK0+XD16lWuXLmCMc31JXRJuZy7Wq2GbtEbjDUtatsihvuttVfVtmeAaWvtU8aYk0CftfaEMebDwBhNYvgA8IK19gM3OH/wHt0AX/3qVyP5CyJkesaFldk4nU6zb98+CoWCizb4reY7Ojool8vMz89jrWVwcJBGo8Hk5KTbJ5fLOa3h7//+71lYWKBWq0VCnVpz0CnNq/WBACKl1GK6TE5OcvnyZUqlkusToZ2ui4uLgRBuD5uyqO0vAh9qvf4s8DXgRGv752zzH/HfjTEFY8xua+3l27jWXY+f+qmfirz/8pe/HJuaLGSxtLREqVQin89TLBaZm5trW6dSIg+SlZlKpdqcimK6FItF9uzZw/T0NPPz8y5ZS7eNAyLn8EuxxXTR4xBN4fLly8zOzjrSkSXuJyYmGBoaoquri6NHj27slxzgsFZisMCftmb237bWvgQMibBbay8bY3a19t0LvKGOvdjaFiEGY8wDwAO3M/i7GT/7sz/rXn/pS18CaDMvKpUK5XKZYrFIKpVqW0MCaFt+TguznGtxcZG5uTn6+voYGhqis7PTCbQUYumQqDEmQhhx4Vipg5BM0FKpBDSJ5cyZM2586XQ60vUqYHOwVmL4CazjW9sAAAWcSURBVGvtmy3h/4ox5m+us6+J2db2q7bI5SUIpsTt4ud+7ufc6z/6oz9yr+v1OvPz89RqNdLptPMRiONPhzx1TYY4ILXmUC6XyWQy9PX1uRCmOABhZQk6WWdS0rPFtPDDkbrHZblcdutS+jkTTz/99CZ8gwE+1kQM1to3W8+Txpg/BN4PXBETwRizG5hs7X4R2KcOHwHeXMcxB1wHv/ALvxC7XfwLIrDSkj2RSDjykEQnMQdE9ZcZfmpqinq9zq5duzh06BCTk5NcuXKFUqnktJFLly4xOTlJvV6PdMQWZ6Z2NnZ3d9PV1cX8/DzPPPPMZn5NATfADYnBGJMDEtba+dbrnwY+AXwR+CjwVOv55dYhXwRGjTFfoOl8LAX/wtYjLoIwNzdHJpOhWCwyOzvLwsIC1lpXKyGdnfRaFuVymcnJSYaHh9m9ezepVMoVOgHMzs46/0DAzsVaNIYh4A9bqmAS+A/W2v/XGPOXwB8YYz4GvA78Smv//4dmROI1muHKf7Xuow5YF/T09Fz3829961sRv4M4NsvlMteuXWNgYIDh4WFmZmZcwVNQ/e8MrClcueGDMGYeeGWrx7FGDABXb7jX1mOnjBN2zlh3yjghfqz7rbWDazl4u2Q+vrLW+OpWwxjz9Z0w1p0yTtg5Y90p44TbH2uolQgICGhDIIaAgIA2bBdieGmrB3AT2Clj3SnjhJ0z1p0yTrjNsW4L52NAQMD2wnbRGAICArYRtpwYjDE/Y4x5xRjzWqtKcyvH8rvGmEljzHfVtqIx5ivGmFdbz32t7cYYc6Y17r82xrxvk8e6zxjz58aYHxhjvmeMGd+O4zXGdBlj/ocx5q9a43y8tf2gMeYvWuP8fWNMurW9s/X+tdbnBzZjnGq8HcaYbxlj/nibj/OCMeY7xphvG2O+3tq2fr+9X023mQ+gA/hb4BCQBv4KeM8Wjud/B94HfFdtewY42Xp9Eni69frDwJdp1oZ8EPiLTR7rbuB9rdfdwP8E3rPdxtu6Xr71OgX8Rev6fwB8pLX9t4B/3Xr9b4Dfar3+CPD7m/y9/gbwH4A/br3fruO8AAx429btt9+0G1nl5n4c+BP1/hRwaovHdMAjhleA3a3Xu2nmXAD8NvDP4/bbonG/DPyT7TxeIAt8k2aq/FUg6f8PgD8Bfrz1Otnaz2zS+EaArwI/CfxxS5C23Thb14wjhnX77bfalFitRHs7IVJeDtyovHzT0VJjf4zmbLztxttSz79Ns9DuKzS1xFlrrbRn0mNx42x9XgL6N2OcwPPAQ4DUpfdv03HCSiuEb7RaGMA6/vZbnfm4phLtbYptMXZjTB74z8BRa+2cbpri7xqzbVPGa61tAP/AGFMA/hC47zpj2ZJxGmN+Hpi01n7DGPOhNYxlq3//dW+FoLHVGsNOKNG+0iorZ7uVlxtjUjRJ4d9ba/9La/O2Ha+1dpZmp68PAgVjjExMeixunK3Pe4HpTRjeTwD/1DTbGH6Bpjnx/DYcJxBthUCTbF0rhNaYbuu332pi+Evg3pbnN03TifPFLR6TDykvh/by8l9reXw/yCaXl5umavA7wA+stf9uu47XGDPY0hQwxmSAfwz8APhz4JdXGaeM/5eBP7Mtw3gjYa09Za0dsdYeoPk//DNr7b/YbuOEZisEY0y3vKbZCuG7rOdvv5nOp1WcKB+m6VH/W+DhLR7L79FsQVenybIfo2k3fhV4tfVcbO1rgBdb4/4OzWa5mznWf0RTHfxr4Nutx4e323iB9wLfao3zu8Dp1vZDwP+gWZ7/H4HO1vau1vvXWp8f2oL/wYdYiUpsu3G2xvRXrcf3RG7W87cPmY8BAQFt2GpTIiAgYBsiEENAQEAbAjEEBAS0IRBDQEBAGwIxBAQEtCEQQ0BAQBsCMQQEBLQhEENAQEAb/hdnj7fl09pxMwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31f814e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31c18ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c31faa6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3152cf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5y7wCObnZb4Hvw0wKmQbNbZFIxE36sKpLCgL6Pej45HF0WBYKBdx333146KGHduHXU7oBFQy3QT6fd41WmU0oHXu+X8BPaZZ+BwCBcKP0Q9ys34J87ZskAAKaiPQphD2YKn3gwAFdj0IBoM7HW4Zl09ls1qnsfkpy2EpQfi2DrzkQv3CK55OJT/716MD0W8vL88lIhRRCsVgM9XodPT092LdvX2gGpXL3oRrDLbJv3z4MDQ0hmUy6Yih5Z5ZZjkR+Lics/QGy0pImAYXBeqFG/3xSA5CaiMx9oAPSD2/G43EAQCaTwZEjR/DYY4/tzo+pdCwqGNZhcnISo6OjbduLxSKSySSAYCahvPuHNVHxJy23++tB0NSQ5woLWUrhI1+HmQlAsBBL+kJqtRpWVlYQjUYRjUaRTqdx+PBhdUbe5ahgCGFiYsLdRSUnTpxwLdiAYG9FOTl98wIIdmIK67vgOyopcKQwoZDgdpoGvi9C+jR4HLfLY4k/7nw+j4MHD+LEiRPb8XMqXYj6GDzGxsaQTqextLSECxcuBLazOEpGBaTa7kcbgLWcAj806ecc+CaIP9nluWVWpNQmwio4pS+DwkbWU9B3Ic+XSqWQSCR01ey7GP3LeySTyUA2Ikmn0245+vVyEIwxLqHJn9R+spLczzdFqAnIdvHczmffaelnVXI8ErmcnX9OKWAoQPL5PE6dOnX7P6bStahgEExOTiKRSKBWq8EYE/Ax9Pb2Ot8CsGZGSB8DCatdkMfRwehXSfKc60UuwhyMPOd655WmhtRWfN+In6EJrOY/DA0NQbn7UMEgYAiyUqng3LlzzpQ4ceKEW2AWWEtC8u/0/gT3nYZ+JEHWM8hz+Q5JHicrJnk+ay0ajUabOSFf+1oCr8338nx8T8GhKdN3JyoYWoyOjiIajaJer+PcuXOBz3K5HPL5PGKxWGCShZkK8g7saxGysMrvzOQLCAqH9daXkFEHP+vRz2UAEHBm3ixy4Z8rkUigv79fy7PvMlQwCDgRAQRWic7lci71OMx8WM/h59/55V1cFlsBaEt39s/LSSszGLlP2GsizRo/+rGen0EWekWjURSLRfT19W3Lb6x0ByoYWnB1aU5Q8vDDD2N4eNgJBgCBpeNk4hDv6P5dWK4KFeY34Gd+Zyc/dOn7JHh+X0jJ4/yybz7YDk5GHnxhBaxqML29vTh27Bgee+yx0NwO5c5Dm8G2OHnyJAqFAubn51GpVNxkKxQK+NCHPtR2J47FYujt7W2zz/0CKNnsVRKWtCTv0r6W4Icm/XAlJzuP8x2Y/jUikQhqtRrq9boLXRIKB7m92WxienoaN27cwOzsbFs4V+kKNt0MVjWGFrVaDaVSCcYYJJNJN/my2WwgjZhItRsIVjT6E17iOyt9x6VMeqJA8R2ZfmZkWEcoX2D5GoUUQjJqwn0kPH+xWMThw4dx9OhRjIyMaMHVHYxqDCFMTk46ofCe97zHVVJaa12D11gshlgsFsgN8JOJjFktqfYjDDIHAlhzOMr8BDlZWTvhRxrkOcMyICU8htoEx0bTiQvX+CFLIq/L9TWvXr2KN998U9fC7B60ffztMjo66tTyQqEQWBPCt/l9NZ/IrEbpXOR55OSUx/HczCmQUQSeT0YmZLWk9Gvwun6WJZHag9REpD/E13qkg7OnpwepVAqDg4OYn5/f7j+B0gGoKeHByZJIJFxeA++qjP3LGgmZtwCsmQdywoX5IfwejXzNfAUZHZDnl/v5IUgZefC/D68vBUiYo9J3coZplDw+m81i//79gQiOcmegpsQ6PPnkk7jnnnsC3Y9ktyZp4290x5UhzDD/g38+CqMwYSCjJlL7kOfiZ1JbkEKJjlCZ7ShNC3/FbFlP4YdV6/U6Xn/9dVy6dAnnz5/f0m+u7DhqSmyF8fFxZDKZQO6Cf9eXKj3fy9Wrub+MSvjRhGaz2dZq3p/YN3NiypAlEKzqpBDxBZR0UspzyXJvX2OR+OZPJBLBgQMHtMHLHYaaEiFwckg1m8VVsnuzjBiETU5gzetPQcD0ZeY/SJMACDZw4fllUZVU+aWgIX7lpB8OlbkW/K6yjDwWi4WWlfN4INjVuqenB4VCAffee6+mTt9BqGBYh3q97iacXLZedkXyfQUyhOlrGX6CkxQwQDDs6Dsk5USUSJ+Bn+7s+xv8SS3PwWep7cgMSym4pEkizZp0Oo0DBw5o6vQdggqGEM6fP49arRa4c/vViH6I0fcnAMH6COl/8DMLua80DXz7X+63nl9ITmx/wsvJ7Yc0eS1qJfI705ySiVFSQMlz5vN5DA4OYmJi4rZ/e6UzUB/DOiwtLaHRaLiOTdKpKDWCsJoJvxvTzaIUvq0vBQzh9cOuK8/r+yd4bNj4eD3uIx2bcuw0X/yQqYTaUDqdxn333beuX0TpHlRjWAcmJsnW8ED7svRyovtJTlKIAOF3fjoIfSemNBHkdeUElbUVAAJagRwPgIDaz/f0d6ynzTB0ykVr/O8n96OWkUwmkc1mdY2KLmdDwWCMSRpj/toY83fGmO8aY55obX+PMeYbxpjXjTF/YoyJt7YnWu/faH1+ZGe/ws5QrVZRLpcDd0g50VmEBKxFKOTkkwlI/qQG0Fa6zWPWC2nKuzj39f0L64UtpebC8VOwsBjM93lIE0k6GsP8IFK4RKNRDAwMoFAobMvfQdkbNqMxVAF81Fr7jwB8EMDHjDEfBvA0gDPW2vcCmAXw6db+nwYwa609BuBMa7+uo9FooFqtusnBSUyB4GsFTCn2Q3lcOxIIX7dS5klwssrzyWiHb0b44UfmH3B7o9FwTlQ5oeWqVzyW15WaA/MWqFlQe+DD/168fiaTUcHQ5WwoGOwqS623sdbDAvgogP/U2v55AD/Xev2J1nu0Pv9p06VGp7wbA+1FT3yWk8l3APr2fZgGws9lV6X1rifHtt41ZOm3r6lIh6nUWsL286/D/X2hwGtL80aWqSvdx6Z8DMaYiDHmWwCmAHwFwD8AmLPWsi73EoCDrdcHAbwDAK3P5wG0rbVujHnQGPOyMeblrX2FnUHWQPj//ABCJ11YdyUg2IRVquFykoaFLXlO6XT0TQQ/y5J3d56LyNfUDuSYOB5plshr+IKNWo7s+cBxsZZC6V42JRistU1r7QcBjAD4cQDvC9ut9RymHbTF16y1L1hr77ebTNHcbZ577jnMz8+jWq0CCN6F/cnPu6N0JPqhzLC7uHQMyt4H0pkoE46kEPFNFt9/Ie/yAJxZUa/XUavV0Gg0XDQhFoshkUgEHIxy0kv/AgUmNQepPcjv1tvbi8cffxzj4+M79SdSdpBbCldaa+eMMX8O4MMACsaYaEsrGAFwpbXbJQCHAFwyxkQB5AHMbN+Qd49qtdo22f1EHyY+8TN5R5cFUDL1WT5LW15WSgLBSILf90H6KuSEXC+EKSMQvibhOzvl95TX5Gtej34QeRyPjcViGBoa0lTpLmUzUYlBY0yh9ToF4J8DeBXA1wD8Qmu3TwH4Uuv1l1vv0fr8JesbyF0COxwBa3dl6b2XE1RGCOSk8isVpWkit8vIhvy5pMrvmy18UKhwnPI4eV6/9kFe23+EmRQSCjvpjA3LhvSbwCjdwWb+avsBfN4YE8GqIPmitfZPjTHfA/AFY8zvAvhbAC+29n8RwB8ZY97AqqbwyR0Y944yOTmJlZUVLC8vY2pqCgMDA+vWHdRqtbY7NieU1DbksdJJKP0Ofh6CL3jkHdn3I4T5QigceGfneOSEZrWlH9L0rxXmPJWJX7KrFB2pmUwG+Xx+R/5Gys6iZdeCRx55xP2zl0olAMDQ0BDuv/9+JJPJwCSm2g8EKyH9KAUnZNgdF1izy8PqK6RgkMcZE8xSlOFTYE1LoflAH4afg8EoiHQmcrxsGOPXZ/gJW9xGrYWL9QCrGtf169fx7W9/W0uyOwMtu75VxsfH3USsVCruH/mhhx7C8vJyIB8BQGAyA+2+A19T8J2XYWFI2SvBt/nl3Zh3aGoAfqEU7/hsagsg8Ozf3SUUDpL1UrF5vPSh+JGbRCKh5kQXon+xFlxkZnx8PLDgTLVaxeXLlxGPx5FOpwOeeiA4GcPKsIG13gjUHBKJRMBfwePlJPXbu/kaAu/w9Xo9oJHQVJD+B993IFOu5TUZqfAzG3leqSn4govCKB6PB7STVCoVunK40tlorYSHvwrVhQsXMD09jcuXL2NpaalNI+DDLzSSz5zYDBXKkm5+TuRit/I6cr9ms4lqtYpareayJCk46FPgJOc2mZXp+wmkMJP7SS1Aakv+d6TG4AstYDVqI9f8VLoDFQyC9RZTOX36NC5evIhr164FJq4/OfieC9D4d2QAzlRhjYLUDPxsRj9SAAQXxaUA8CMOfnTDjzJwmy/IfN+BFF7yu8pr0WchvzOhkFDB0H3cNYJhM2sgRKNRTE5O4vjx421C4umnn8abb76JSqXSFvbzJ5TcLic8J06j0UC5XHZ3fLnkvR/BINJJKQUIsCYIarWaS17idt+MAIL5BvJc0hTifvwefh6DRPaJDDM58vm8Vlt2GXeNj2EzDrBUKuVi79ZanD59GvV6HfPz83j++edRrVbbMhTD/AmRSCQwOcNUdJoAsg0bV9MOO3/YmpVS2whLnPIjCvxcaiVS+wlLjKKPwndi+j4IX6PhdwRW8xlUa+gu7hrBEDZJJJOTkxgcHMSBAweccxBYnRg3btzAM888g2az6QSMn0EoJ6ZU433tgndpKWAYCZCVkHLJezlpfZ+A30iFx0iTwUeaOH5oVU58PwzL/eV55XFhyV7WrrbiVwdkd3HX5DE88sgjMMa42gfpge/pWW1o+qM/+qPIZrMAgi3LpONQRiXkhPSjB8Ba30iZ2wAEC7SoBcikIl8D8cOE1DaA9mpNqVHIhWupGciwKROduL+PFEY32+4ndQGrAqRWqzkn6eXLl/Hmm2/izJkzt/03VLbM3Z3H4IccgdV/1GKxiEQigZ6eHlQqFSwtLaHZbCKZTGJ4eBi9vb2BFvByArBvAsODcnLKOzw1BmOMqxPwvfs0N6Rw8GskqHXI3o9SWwibyNIHsV45Ncco/Qu85nrOUplf4edmcFwyi1LCcXBJP6U7uCMEw+jo6E3XQhgfH0cikcDQ0BB6enpQq9WQyWQwNDSESCSCRCLhhIK02f1YPQUANQhgTRVnlMFX4f2qSk4cOYH80KT0D9AP4YcggWAykvQFUKD45wyLMshzhbGeNsLvxs/CMjRjsRisXV3vM51OqznRRXR9VGJsbAy9vb3o7+/Hvn37MDQ0hHQ6HSj37enpQS6XQ61Ww8WLF/GDH/wAr7/+OqanpwEAyWQyoFLLyeA7DqXTT/oJ/OxDf8Uo6Rfwswd5LfnMuzDvtH4GoZyMslOUHLsMafqmivxuvt9AXoPjkN/FN4O4r/97SZOFGpfSHXS1xjA5OYl8Po/h4WEMDg4iEomgVqvh3XffxY0bN3D8+HGcPXsWxqxmG87MzOCJJ55wx4+NjcEYg76+PgDtC7L4DjVfBedDphhzYsgQJbUZJh+F+QX8AiqeS7Z94/7raTNhx4YJAL8EnN9PftcwM+RmWkZYlIJCoV6vIxaLobe39yZ/TaWT6Frn4+joKEZGRnD48GEUi0XXzXllZQXVahULCwu4dOkS3nrrLfT09ODo0aO4dOkSnn322bZz/dEf/REKhYL7x/XteHl3Z4ISowEsRFpv4srPOT7exSmw/Anm1zPU63V3DIuU/Lu4tN99FZ8CTiZgcWxU9/3kKp7X+zu1+UV4PT/HAoCLvpRKJVQqFUxNTeHVV1/F2bNnAawJZt8fpOwYd4fzMZvNIpvNIhaLBdTURCKBQqEAay2uXbvmkm/Waxpy/fp1JJNJt+KUnORhQoKTlteVE8S/y1NL4KQul8uYnZ11/oJMJoNcLodkMukWzKW/Qt7taQ74kQAg2GxFrnZVrVYDLdjkeQC48Ksf6uRzmBYgIyhSOPpp3L4jNBqNIpfLuWQnRmyMMZiYmMDzzz+/tX8GZVvpWh/DhQsXkEgkkEgk2uL4bImWyWTQ39+PTCZz02Ke69evY3FxsW3tBaA9QYmTj63QZNmyr0EsLCzg+vXruHLlCr73ve/hW9/6Fl555RX86q91x23tAAAgAElEQVT+KsbGxvDqq6/ie9/7nlstenFxEdVq1bVgYzs22THaNxukFuInUcl8Au4roxWywYvUEnwzQgoI35Tib+QfK+HvwjUnenp6cO7cuYCfRFev6iy6WmNIp9NuYVjZwYj/bKlUCvfddx+WlpaQy+VQqVQwNjbW1hugXC5jZmYGg4ODbTkDQHuTlLDwoRQqs7OzuHbtGq5cuYJyuYzPfe5zoeO/cOGCez02NoaDBw+iUCg4TUh+l1gs5pKgOCYKKVlJSS2AERRZI8E7uKzG5FJ8UlMiUkOQzlP/N5H7+vCYsM/4/UdHRzWU2WF0rcYABJ1o0vMvQ4uZTAZ9fX1IJBI4cOAADh061FY3kc/nA+nI8h9eOhxpM1MNlsVKvCuXSiW89dZbuHjxIn73d393XaHgc/78eVy7dg1TU1OYnp7G0tJSYP1MTm5GKWQXJrlNajHUpoDwaIvvF/FfEykU/IiDH00B1pySshEMIyR+41sgKCCUzqBrNYaxsTF3R/WdcZJIJIJ0Ou3U6CNHjiCbzeK5555zdn5vby96e3vdROdd2K83oL+AfgQZAgRWhcL09DSuXLmC55577pa/05kzZzAxMYF6vY6enh5ks1lkMpmAU5Q+Ad834Dv95LP0k/ihSWoK/N7r5TrIPAX6WeR5fIelNFmi0SgajUagszQAF1LmsdrQpXPo2qjEI488ggceeACZTCaQRQi0/5NSePgtzpioxBWn4vG4yxnwMwOlU5ATjb0VuJzd/Pw8pqen8fTTW1986+TJk8jlchgYGMDQ0BDi8Xhg1SpgrapRCiuaVhRqMlWbvxGdsSsrKwEB47eC9zMbacZwG39jP3zqw9+qWq3i4sWLuHLlChYXF91x586dw+TkpAttqiNyx9h0VKJrTQlGEORECfvn9O/qcj+G6zjheOfkMYwkLC8vY3l52anC9Xody8vLWFhYwNzcHBYWFjAzM4OZmZltEQoA8Oyzz2JhYQHT09OYm5tzIVJgTUgtLy9jdnYW169fx/Xr1/Huu+/i4sWLeOutt/D222/j8uXLuHHjhjNL/GgHfxf+NvK7+6YG8YXuehqG/15GJ/hbnz9/HtZapzkwQ1JNir2na3U3uQp12B1Lqv2c8HKdCAoF3mVldSOLpZrNJiqVCqrVqssV4LlqtRqWlpZcKfb8/DzK5fK2fsdyuYyenh7Xc1LmPJRKJczMzGBubs71YWA0Q0YmUqkUstkscrkcMplMIIOS+8l0bT+tO8zpKKMjUmMIy3uQz9JfQ86fP4/R0VGn8SSTyYBTVtkbulYwrKysYGlpCcYYlw4sHYJclHZqaso1RZHdjlKpFHp7e5HJZJDJZGCMcck4tKEbjQYqlYqzkwG0CQY2W9kuTUHCCXL69Gl3N+W4Ll++jKmpKSwuLrqEoY04ceIE8vk87rnnHhf1AIIZjDIXQ4YfpV8hLAmKwkKe068SpQDxy7ClIFBtoTPoWlOi2WxicXERS0tLKJfLTjvgZJ6fn8fVq1dx8eJFvPPOO7h+/Tpu3LiBGzduYG5uDjMzM5iamsLU1BTm5uawvLzshAYTkditidoHKytpYshcg51ELlVfr9extLSEubm5WxIKwOqyezMzM7h27RpKpZLTDugQlFEd3wTzzQI/C9KPCsnwrawQpYYWj8cxNjbWNkbVFjqDrtMYJicnnVrNiSLvTqVSyU32mZmZm9b/s90Yy6o5OaQKLKMSUs2WvQ6A8FLv7UImJlEwLCws3JJQIGfOnMHDDz/sMi1ZVSqrMuXCuDIHQmoAMoIhU7D5LJ2YMpeB15BCZ3x8HCsrKyoUOoiuEwxnzpzB448/DmMMFhYWMD8/79J/6/U6SqUSnnnmmU2di7Z5qVRCqVRyd07a4X7yFAC3jWaJvBuGJU9tB+l02pUtz8/PY35+PrTmY7M888wzePTRR5HL5VAsFtscuDIhSZoV0tcg07B9U0MKCunQ5HseE4lEnNaglZedRdcJBgB44oknMDY2FuhMBLS3ft8Ia63rbkwTgg9ZB0H1lzY+swcZn5eJSJOTk9vapWhychKZTAbZbBbxeNyFR7dKqVTC0tKSm8RSA5D5BH61qIQCQdZi8PiwMm+ZeBaPx1GpVACE93NQ9pauFAwAtuXOTAdks9nE0tJSW6NXZhUyh4C1Gcx3SKVSaDabrolstVpFtVrFE088gXK5jFKptGXzIp/Po7+/H/l83t3Nw2o6bpVz5865egXeyaUgBNbu+PIuz99GPvvhTTnJZdGX9Gf4iWO6hF1n0bWC4WZwubloNIpisYhkMolarYb5+XmX7VgsFhGLxVAqlXD9+vXABB4fHw/YyzQveE4KBj6zYCuXywFYa+deqVRw9uxZVKtVLC8vuyQfahQTExOBNTHp40gkEigWi+jr60M2m3VmxMrKiuu4PDo6uiWbnL4a3+73+zhQGLGngjQdgLXGNX7reb8+QqaV+07NmyVHKXvDHSEYxsbGkEwmA+m4stSX/+j0HVDVnZ+fx8LCQttdnWpzo9HAhQsXMD4+7iIU0WjUOTxphkSjUZRKJRc2zeVyzrFXLBZdDgXLr3/v937POTtTqVRb5iE7HvmZjkyT7uvrw9zc3JZ+MzofZZq0vLsTX0D42oJ/nP+5jEbQRPHb5jebTYyPjwcyOlWD2Fu6NiWanDp1qm2ZdzrCZF4+04D5z1er1W7qC/B7BIyOjrpjZRMVOtGazaab7IlEAqlUyhUxRSIRJ6AAuAnPh1wfQjZP5d1V3o1lQhUzHn/nd37nln6zsbExHD58GEePHkWxWAyEG2XkBQg2ppV3fWla+FGLsG5SDPleu3YN09PTmJmZwdLSEur1Os6dO4fx8XHE43FYazddeKbcMndHoxYAgVwD/87PZBmq3PSAc8KdOHECzWYzVED4+foXLlzAiRMn3B10ZWUlcL2xsTHXaVlGOXi9hYUFJ5gGBweRTCZdK7qlpSVUKhXXr4BFX1TTqUkwT8Nai2w2i1Qqhf7+fnz2s5/F/Pz8pqMxfX19zsQiPLe8nqyxAILp0GGp0dQYZOaln3otq0Kl1kHh0Ak3KuUO0BjI7XQBevTRRxGJRPDZz35209egYFjPvh8dHV23JPn8+fMYHx/HoUOHXPEX7/zlctlVeeZyuUBmIrUHWRgl39Mk4rluFsqcmJjAsWPHcODAAeTzeRdZqVarWFxcRL1edxqNrEWRZk5Yf8owwSBNAz7Pzs4GksyYaUohQROCUaeenh5di2L72LTGcMcIhttlJxOT1uPUqVPOUTk/P4+nnnoqdD92NaJpkkqlkEwmkUwm0dvb67pI0YQB4LSPxcVFXL9+3WVrRqNRpNNp5HI57Nu3D+l02rWSW1pawszMDC5fvuyEA8OzFGDpdBr79+93zlI/+YsajRQOfgjSWotyuewKz955551QofzYY48hl8thZWUFMzMzm9aElA3ZflPCGBMB8DKAy9banzXGvAfAFwAUAfwNgP/dWlszxiQA/CGAfwLgBoD/zVp78Ra/wK6xF41IWajFAq31kBrQ5OSkm2iNRiNwB6cvhc7JbDaL/v5+DAwMBCpC2deSUQ7Zu7LRaGBxcRFPPvlkYAwnT550fpNIJIKBgQGkUil3rN+XAYAzP6Tfgg9GcCKRCN5999226MrExAT6+vrQ39+ParWK69evb8tvrtwat1IrMQHgVfH+aQBnrLXvBTAL4NOt7Z8GMGutPQbgTGs/RcCS6XK5vOmchDNnzqBUKrml8lgU5lc5xmIxp1EUi0XXz2FwcND5Jfw8gng87kwXv4jp2WefxZNPPomZmRlcvXoVs7OzLqFL+lv8cdChSmem7EKVSCSccPKbs1AT4T6a+LQ3bEowGGNGAPwvAP6v1nsD4KMA/lNrl88D+LnW60+03qP1+U8bDVQH4OTmxN5sReHnPvc5d+dnqJQl4zLHQvom+KAJQsHgRxH6+vowODi4bu/Fc+fO4Td+4zfw5ptv4saNGwCCC/YyKiQFgYxmMOdDhpTz+TxyuRxOnDiBiYkJZzotLCy4Ii9lb9isxnAWwMMA+JfqBzBnrWWq4CUAB1uvDwJ4BwBan8+39g9gjHnQGPOyMebl2xx71yLlJEOTm2F8fByFQgEDAwMoFArIZDLuWP8ODqxNVqr1Mh9C1kbQJKGpcTMWFxfbcigY0qT2IyMVUnOgNsAHoyO9vb1OkJw9e9Y1oFlYWFi3ZZ+ys2z4qxtjfhbAlLX2Fbk5ZFe7ic/WNlj7grX2/s06Q+4kOIkvXLjgPPhhJciSkydP4siRIzhy5AiGhoaQy+UCuRLAWr6ARCYcSYEk05+lcNhoIjJ6wQVzeF0mLMkCKWo10hciayXo3IzH42g2m87XUC6XXa7DdqR/K7fOZsTxAwD+lTHmIladjR/FqgZRMMbQQBwBcKX1+hKAQwDQ+jwPYGYbx9z1cAKyGtNfrNbn9OnT+OAHP4j3v//9Lk06m82it7fXqej0G7BalBPXn/RSiPjXrFarrrBpPWQuggyj+mtsMHNThjz54HauOTo4OIje3l5nUp07dw5PPfUUpqenb6u0XNk6GwoGa+0pa+2ItfYIgE8CeMla+68BfA3AL7R2+xSAL7Vef7n1Hq3PX7KdEBPtIGQhkUy6CuPUqVO49957MTg4GEjp5vEyz0Cmgkv13c9UBNa6OBNmJm5EoVBAsVgMhCd94cDz+clP8nty/0Qi4Vr85/N5HD9+3PWA1LTovWMrBtwjAH7dGPMGVn0IL7a2vwigv7X91wE8urUh3nlwAsvJaq11jWPIZz7zGRw9ehQDAwOBJfRk/0VfKFCFlw1SpBPPv7bv77iZDP/N3/xNDA0NYWBgIBAmld+B55HXk7UUMhGKPSkLhQL279+Pffv2oa+vD6lUSlem2mPu+gSn3WZsbMxFDmTjVgAugSmdTuPgwYOueSvzBuioZHiRd2q2s2MYU7bJl/kEUnugSUDh0Wg08J3vfAc/+MEP2jJIJycnMTAwgEOHDqGvrw+5XM4JHwCutR2v5beJkw1awmCeRaVSwdLSEt555x0sLCyg0WigXC7j+eef33I1qQLgbqqV6DY4SQjrK/hZoVDA8PAw+vr62syERCKB/v5+pNPpQF5AuVx20YlGo+G6V1NIEKr/0ozwKyL9yXvq1Cn09/ejWCy6azP3wHcMhpkO/H5+NabfKJZJVNZa5PP5wLqdJ0+e3JSZo2wfKhh2mQsXLmBiYiIwqXhHzOVyGBwcdDUMdPBls1nk83lks1lX20AHoyxYkg1larWaS0ZiJ2sihYG0+YG1yT06OopMJoN77rkHhULBtZeTnZrWgyFSaUb4vgdul6XcdEwWCgXXkLdUKrkSeGX3UMGwy9B25uTgJOvr68OP/MiPoFAoOC0hlUphaGgImUwG1WoVS0tLgcQf3pkpQLhuRjqddutxzs7Ouk7aVOf95iickNlsFsViEadOnUI6nca+ffswMjLiNBZZLcpneR7ZXcr3n3A78xUksvKS+Q2pVArLy8sAVhOe+FrZHVQw7CKsvKQnnzzyyCM4ePAgstmsU6upPWSzWSwsLLjWc7Jbkkw/Zv0FnY3NZtNpGuwTKdeMAIK9FiORCIaGhmCtxfLyMtLpNAqFglvsV4Y6eaw8h2+CSAHACR/Wrcn3gwCrURs23ikWi6jX61hcXNzOP4WyASoYdgnG6JmzwEmdSqVw4MABHDhwwHVUSiaT7j37SEqPv3+X5iTkRKRTk36JXC7nFt2RUQEZcmTvyuHhYZTLZXesdFqG4beOl/jHyKiHfGaEwt9GM0ozIHcf/bV3CXrUOcl45z927Bjuu+8+9PX1Ofv6SGtF7sXFRdy4cSOwghYAtxIWW+azUpNVl2wxR+ddPp93zWQlFBI8F4UWQ6Ns1EJtQXZzYiTDT8GW4VA5maVPgb8DBYJ0vvIcTNpKp9MYHh5GsVjcMDtU2T5UMOwyso9BMpnE0NCQc+olk0kMDAwgnU6jVCq5yco1KakJ+KtE+bkKMjzJfgz5fB69vb2BMmi5WjaLuqSTT2oDvsNRpjnLHApp2sjj/CQnKQwo9KQ2JPMkUqmUW0ZQ2R3UlNglxsbGAv/48XgcAwMDbrL29PS4sCAdjbLzkSxr5v61Wi2wjeeWx7FbdW9vr3Po0aSQJdNyJW2p1svzyWvI17JxCzUMKUh8Z6MvZOT4pblB4UOTQs2J3UMFwy4i/9GHhoZwzz33uC5M2WwWAwMDqNfrbuVs2eNRquLMavRzEfwmrtzeaDQQiURQKBRQKpVQqVQC+ROyAQwnODtiy8xGP/9BrhzO7ycjFb5mE3asHLPvhDTGuGrPXC7X1rtB2TlUBO8S58+fx9mzZ9FoNAKJSsw76OvrgzEGi4uLrm5B5h/4E06ynq0uF8NtNpuugQvvylJjkOeRmYq09f3kpbAxhJV+y/d+aXaYBhAmLGThlbI76C+9BxSLRRSLReckzOfz6Ovrw8LCgrub+6s5ccEZ+gCo8gNBtZ4Cgf4CRhcqlYqLUKTTaRelANa6OUtVXtZa8BocC5HCIKw8miaFr5n4i9rw+/B80kSSCVUqGHYP1Rh2GNmdiWtTcEEatjljY1hmM3JBG+k/kJOVlYmyDTu1DEYqgLUFavlZpVIJ1DL4PgvCCelvl9qLTMmWSMeiv79MjArTOuQ5ZH6EdHQqu4MKhh1GrmnBUGA+n0cymXT1AbFYzEUceKf3w5PMZ+D2sAV1ZEKRVP8Z3uSiOyzK4gSUx0gtRJ4DQGB88j0QzIb0m77I0Cbfh0Ur5Gu+lwlYsVjMhSz9SlRle1ERvEvwLpzP513oraenB+l0GgCcP0GG7oA1JyLzCoBgkpSMcvAzAAENo16vu4m6srKCYrGIRqOB2dlZd6z0O8gFbmXegpzoMoNS5i/4CUz83C+m4vlkNiX3ownk12UwR2NyclJXq9phVDDsAgxVxuNx19+QfoPe3l5Eo1GUy2WXt8A262HZjnwtnYZ+DoHfndk3N+iEXFpacucE1u7YYU7BsBoLKcRu1oLNT3TyO0f7moE0n/haNqjZqMuUsnVUMOwwXHmbZkShUHCdjpi8w74DMsRIwhrFyj4HnDQAXBRCZlfSSSkLnOLxuOv9QEHkhz75GkDg+LB6B/9YWYvh4+c3SAcmhZIflQDWHLA9PT23vOKYcuuoYNhFent7kc1m3T84W7szZ0FORD9hie+5qhQnKwUM8wnkxKtWq4GEIWkWsAJzeXm5zREo/QQ0KXxhQGEkNQw5waVW4EcefHzBRfyEJ/a0VHYedT7uMOfOnXOTJJVKOROB/RPoE5DOOhmFoJCQd1RGI4Cgg86PZPjOP4Yxm81mYEUoHuOvIMXzc8LKxq40S5hWTd9AWIhTPlObkP4F6W/wzRpen9dRwbA7qMawC/hJOjJjkP/01B64nWYB78xhE0ou4MLJLysmfbXcr5/geDihZS6BdDZSY5H+ARk1kT4P6SsAEHAk+vUd8pr8bvzMh5EVbRC7O6jGsAtcuHABuVzO9TeQLdtoVtAsYH6DrJDkvpxsDG1KHwKANvNDIjUILnrLxWtlqrafLAUEJzmRppDsNkVtRmY5yk5T642JDlNpUhFqEktLS5tetUvZGqox7DATExMwxiCfz7tejfIhE5BkSnJPT09bjgCwZtvTNJDquJxQtNv9iAQFEH0V7PzEc1NTIdzfT3TiZJX7ctxh6dI8TiK/vxyrfxzNFI6Z63EoO4cKhh1mZWUFyWTStSvjHZlOQzZt9TsZ+clGMmXZL7P2l4aTPgN5R6aGQXudURH2c/AjEtJpyfNKQUbh4+csyDCr73CU7/0oh3ymsGAeRrVaDWg1ys6ipsQOc/78eaTTaQwMDLjQYywWQzqdhrUWc3NzLi7POyOAtslFcwJYc9bJ5d/8uzr9FjKdOJVKobe3F5FIBJVKBdVqFZlMBoODg0ilUgEBE9bj0c9c9KMNUoPwhUFYqFP6NKQZ4vsfGM6Vv4uaFDuLagw7zOTkJLLZbGAdBpoR5XLZqfd+xqN0IEozg45D6QtgmFI69ojv3KPDk6o5U6Sz2axLsJJ1ErKQyU9ZlpmOflEU8XMiJDKyIrWbMA2Ca05Uq1VdX2IXUMGwg4yOjiKZTCKXywUmcTwedyoy0N5RmS3agPCl5JgZ6ScWSfNBOjh512XkQqrqjUYDvb29GBgYcIu8AGvORRkulIJNCiI6G/maSE1Dfge5naHPsDAnAGfmLCwsoFarqVDYJVQw7BBjY2Ouddvw8DCSyaTLfmQRE219P4YPrN2Becf2nXJUu7luRCKRcKXZPEZmICYSCdfNSS54SxODAoCf+ZWb1GjkBJbmDt9LZ6ifNOVvlxoCt1NT4TXn5+dx6dIlzM7OhqZqKzuD/tI7xPnz55HNZgOrN8lqSE56GaLzy5l91Zr7yJWl5STzHXl+3QH34wrZFB6NRgMLCwuBRCP6Q/yEKp5bmgF89s0F+R3CwpEUNn5xlXzMz89jfn7+prUYyvajgmEH+cxnPoNMJuOEASMN/gSSd2Hpb5DbZdUh/RXyGJZly/wCAG0TDkBA+ABAuVzG0tKSG5efWSnDqzRRwrQYKehkRMX/rjLiwLHJbE2ehwJL9rBUdgc1JXaYn//5nwcAfPOb3wykH9PHwEnhq97cTpXamNU2a5wwi4uL7hjZo4H1GKlUCuVyOeDdl8IACAoN2UaOPgmZYCXzKngM95WOR6kNyFJrOQbpUyHUXhi9qNfrmJubc+ZJpVJR/8IuooJhl/ixH/sxAMCrr77qJhEnpJ/A5E8eaWJUq1WUSqW2JdtWVlZcIxZOxFQq5bQJf6EbTlQ6MaXpIBOiiB/x8EOj3Ec6NuVx0h/hRypk7wcKOrmGBVfRUnYPFQy7zPve9z4AwBtvvNEW+pN1EERqCpVKBcvLy64FnL8fAFepWa1WUSwWkUwm3SrStOelT4P5ClwQl63l/fPyeCkE/KiDr53ITEg/L4M1IdKfQMHASASfmQKu7B4qGPaIY8eOAQC++93vAoALDVI1p5OQMXwu7Mo8hvVU82az6RarKZVK6O3tRaFQcN2h6/W6S6iSoUwg2JtROjPZzk12nQYQqPOQ/gG/gMs3HeR5+Z4aQrVaxdTUFCqVSkDbUcGwu6hg2GM+8IEPAFjTIHzHX71ex/T0tOv36Fck+vhCggvMcMUrmg68ViqVCqxGJRfNlRmLcjyy3gJAm5YTNiZ5DmlmSE2hUqngxo0buHr1qisok2FMZfdQwdAhUIMAgLfffhuLi4su0sA7PLUJ5ivwbu0nGwHBxW7r9TouXrzoUqLZRYqfLy4uOmcm1Xuq737dAk0PmhwMZ3Kyc3Vs2fzV1xik6UANZm5uDrOzs5ifn3fFYbVazTlQVTDsLpsSDMaYiwAWATQBNKy19xtjigD+BMARABcB/K/W2lmz+hd8HsDHAZQA/B/W2r/Z/qHfuRw+fNi9fumll5xAIJuZJHIyM5LB9vKNRgOxWAyJRAKLi4tYWFhAuVx2poC/WK30D0ghwGfZoZrwetK0AIIL55RKJZTLZZRKJWc+yJLycrnsNBQ1JXYXs5kfvCUY7rfWTottzwCYsdY+ZYx5FECftfYRY8zHAYxhVTD8BIDnrbU/scH59a++AV//+tfda5mCDITnCnA7bXdZbyF7TjLSQW2AYUmq9/QDyMQp2v4cC6/D67Lfg6zp8LM62b1qaWkJS0tLmJmZCVR/UpBoc5Zt5RVr7f2b2XErguH7AH7KWnvVGLMfwJ9ba3/EGPP7rdd/7O93k/OrYLhF/vIv/zKQHwDA+Qf4WmZXyjuvvGvLOzpDlsyGpN+BUHhI88Iv2Go0GpiamsKlS5fa6idkAhUb1jDyILWFsNTnRqOhAmLrbFowbNbHYAH8/60J/PvW2hcADHOyt4TDUGvfgwDeEcdeam0LCAZjzIMAHtzk9RWPBx54wL3++te/3pa6LJ18fC8TmoC1dGepLVB4yOiI1ApkQhPPy8nM1zLcCCAgTJg0Rb8JNQRZNSoFSjKZRCQSQalU2uFfVJFsVjA8YK290pr8XzHGvHaTfcMM4DaNoCVcXgBUY9gqP/mTP+le/9Vf/VWbaSGjAr5wAIIVnBQCMsdAZk1SiFDdl+fl/jRFzpw5AwA4fvy4GwOP9ROWzp49i9HR0baxP/XUU9vxEym3yKYEg7X2Sut5yhjzXwH8OIBrxpj9wpSYau1+CcAhcfgIgCvbOGblJnzkIx8J3f7SSy+1JSXJ7EYKh0gkgnQ67bSFUqnkVHzZl4HCw+/ZUKlUXMs4YLX0/OzZs+6170iUQktTnjuHDQWDMaYXQI+1drH1+l8A+B0AXwbwKQBPtZ6/1DrkywBGjTFfwKrzcf5m/gVld/joRz/atu0v/uIvAuFOqTXQQek3kqG5IH0VfNCpmMlkkMlkMDEx0RatsNaqr6AL2ND5aIw5CuC/tt5GAfxHa+1njTH9AL4I4DCAtwH8orV2phWuvADgY1gNV/6ytfblDa6hpkQH8tprr6FWq7m+lIxuUJjIKk1qHNKsUTqO7Y1K7DTGmEUA39/rcWySAQDTG+6193TLOIHuGWu3jBMIH+s91trBzRzcKZmP39+sJNtrjDEvd8NYu2WcQPeMtVvGCWx9rNqoRVGUNlQwKIrSRqcIhhf2egC3QLeMtVvGCXTPWLtlnMAWx9oRzkdFUTqLTtEYFEXpIPZcMBhjPmaM+b4x5o1WleZejuUPjDFTxpjviG1FY8xXjDGvt577WtuNMeZca9zfNsZ8aJfHesgY8zVjzKvGmO8aYyY6cbzGmKQx5q+NMX/XGucTre3vMcZ8ozXOPzHGxFvbE633b7Q+P7Ib4xTjjRhj/tYY86cdPs6Lxpi/N8Z8yxjzcmvb9v3tZSbbbj8ARAD8A4CjAOIA/g7A+/dwPP8MwIcAfEdsewbAo63XjwJ4uvX64wD+P6zWhnwYwDd2eaz7AXyo9ToL4AcA3t9p4x7sILwAAAK7SURBVG1dL9N6HQPwjdb1vwjgk63t/x7Ar7Ze/58A/n3r9ScB/Mku/66/DuA/AvjT1vtOHedFAAPetm372+/aF1nny30EwJ+J96cAnNrjMR3xBMP3Aexvvd6P1ZwLAPh9AL8Utt8ejftLAH6mk8cLIA3gb7CaKj8NIOr/HwD4MwAfab2OtvYzuzS+EQBfBfBRAH/amkgdN87WNcMEw7b97ffalFivRLuTCJSXA9iovHzXaamx/xird+OOG29LPf8WVgvtvoJVLXHOWstW13Isbpytz+cB9O/GOAGcBfAwAJZ+9nfoOIG1VgivmNUWBsA2/u33OvNxUyXaHUpHjN0YkwHwnwEct9Yu+GXLcteQbbsyXmttE8AHjTEFrNbdvO8mY9mTcRpjfhbAlLX2FWPMT21iLHv999/2VgiSvdYYuqFE+1qrrBydVl5ujIlhVSj8B2vtf2lt7tjxWmvnAPw5Vu3cgjGGNyY5FjfO1ud5ADO7MLwHAPwrs9qt7AtYNSfOduA4AQRbIWBV2LpWCK0xbelvv9eC4ZsA3tvy/Max6sT58h6PyYfl5UB7efm/aXl8P4xdLi9vVbG+COBVa+2/7dTxGmMGW5oCjDEpAP8cwKsAvgbgF9YZJ8f/CwBesi3DeCex1p6y1o5Ya49g9f/wJWvtv+60cQKrrRCMMVm+xmorhO9gO//2u+l8WseJ8nGsetT/AcBv7vFY/hirLejqWJWyn8aq3fhVAK+3noutfQ2A32uN+++x2hNzN8f6T7GqDn4bwLdaj4932ngB/CiAv22N8zsAPtPafhTAXwN4A8D/AyDR2p5svX+j9fnRPfg/+CmsRSU6bpytMf1d6/Fdzpvt/Ntr5qOiKG3stSmhKEoHooJBUZQ2VDAoitKGCgZFUdpQwaAoShsqGBRFaUMFg6IobahgUBSljf8JdDiIL+h7YdYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c325cf4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3292b6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c3213fd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(imgs)):\n",
    "    im = imgs[i]\n",
    "    masks.append(get_segmented_heart(im, False))\n",
    "    get_high_vals = masks[i] == 0\n",
    "    im[get_high_vals] = 0\n",
    "    plt.imshow(im, cmap=plt.cm.gray)\n",
    "    plt.show()"
   ]
  }
 ],
 "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}