{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ETHZ: 227-0966-00L\n", "# Quantitative Big Imaging\n", "# March 28, 2019\n", "\n", "## Shape Analysis" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "format": "row", "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "plt.rcParams[\"figure.figsize\"] = (8, 8)\n", "plt.rcParams[\"figure.dpi\"] = 150\n", "plt.rcParams[\"font.size\"] = 14\n", "plt.rcParams['font.family'] = ['sans-serif']\n", "plt.rcParams['font.sans-serif'] = ['DejaVu Sans']\n", "plt.style.use('ggplot')\n", "sns.set_style(\"whitegrid\", {'axes.grid': False})" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Literature / Useful References\n", "\n", "- Jean Claude, Morphometry with R\n", "- [Online](http://link.springer.com/book/10.1007%2F978-0-387-77789-4) through ETHZ\n", "- [Buy it](http://www.amazon.com/Morphometrics-R-Use-Julien-Claude/dp/038777789X)\n", "- John C. Russ, “The Image Processing Handbook”,(Boca Raton, CRC Press)\n", "- Available [online](http://dx.doi.org/10.1201/9780203881095) within domain ethz.ch (or proxy.ethz.ch / public VPN) \n", "- Principal Component Analysis\n", " - Venables, W. N. and B. D. Ripley (2002). Modern Applied Statistics with S, Springer-Verlag\n", "- Shape Tensors\n", " - http://www.cs.utah.edu/~gk/papers/vissym04/\n", " - Doube, M.,et al. (2010). BoneJ: Free and extensible bone image analysis in ImageJ. Bone, 47, 1076–9. doi:10.1016/j.bone.2010.08.023\n", " - Mader, K. , et al. (2013). A quantitative framework for the 3D characterization of the osteocyte lacunar system. Bone, 57(1), 142–154. doi:10.1016/j.bone.2013.06.026\n", " \n", " - Wilhelm Burger, Mark Burge. Principles of Digital Image Processing:\n", " Core Algorithms. Springer-Verlag, London, 2009.\n", " - B. Jähne. Digital Image Processing. Springer-Verlag,\n", " Berlin-Heidelberg, 6. edition, 2005.\n", " - T. H. Reiss. Recognizing Planar Objects Using Invariant Image\n", " Features, from Lecture notes in computer science, p. 676. Springer,\n", " Berlin, 1993.\n", " - http://en.wikipedia.org/wiki/Image_moment\n", " \n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Previously on QBI ...\n", "\n", "- Image Enhancment \n", " - Highlighting the contrast of interest in images\n", " - Minimizing Noise\n", "- Segmentation\n", " - Understanding value histograms\n", " - Dealing with multi-valued data\n", "- Automatic Methods\n", " - Hysteresis Method, K-Means Analysis\n", "- Regions of Interest\n", " - Contouring \n", "- Machine Learning" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Learning Objectives\n", "\n", "## Motivation (Why and How?)\n", "- How do we quantify where and how big our objects are?\n", "- How can we say something about the shape?\n", "- How can we compare objects of different sizes?\n", "- How can we compare two images on the basis of the shape as calculated from the images?\n", "- How can we put objects into an finite element simulation? or make pretty renderings?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Outline\n", "\n", "- Motivation (Why and How?)\n", "- Object Characterization\n", "- Volume\n", "- Center and Extents\n", "- Anisotropy\n", "\n", "***\n", "\n", "- Shape Tensor\n", "- Principal Component Analysis\n", "- Ellipsoid Representation\n", "- Scale-free metrics\n", "- Anisotropy, Oblateness\n", "- Meshing\n", " - Marching Cubes\n", " - Isosurfaces\n", "- Surface Area" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Motivation\n", "\n", "\n", "We have dramatically simplified our data, but there is still too much.\n", "\n", "- We perform an experiment bone to see how big the cells are inside the tissue\n", "$$\\downarrow$$ ![Bone Measurement](ext-figures/tomoimage.png) \n", "\n", "### 2560 x 2560 x 2160 x 32 bit\n", "_56GB / sample_\n", "- Filtering and Enhancement! \n", "$$\\downarrow$$\n", "- 56GB of less noisy data\n", "\n", "***\n", "\n", "- __Segmentation__\n", "\n", "$$\\downarrow$$\n", "\n", "### 2560 x 2560 x 2160 x 1 bit\n", "(1.75GB / sample)\n", "\n", "- Still an aweful lot of data" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# What did we want in the first place\n", "\n", "### _Single number_:\n", "* volume fraction,\n", "* cell count,\n", "* average cell stretch,\n", "* cell volume variability" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Component Labeling\n", "\n", "Once we have a clearly segmented image, it is often helpful to identify the sub-components of this image. The easist method for identifying these subcomponents is called component labeling which again uses the neighborhood $\\mathcal{N}$ as a criterion for connectivity, resulting in pixels which are touching being part of the same object.\n", "\n", "\n", "In general, the approach works well since usually when different regions are touching, they are related. It runs into issues when you have multiple regions which agglomerate together, for example a continuous pore network (1 object) or a cluster of touching cells.\n", "\n", "Here we show some examples from Cityscape Data taken in Aachen (https://www.cityscapes-dataset.com/)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "image dimensions (256, 512, 4) (256, 512)\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Segmented Image')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage.io import imread\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "car_img = imread('ext-figures/aachen_img.png')\n", "seg_img = imread('ext-figures/aachen_label.png')[::4, ::4] == 26\n", "print('image dimensions', car_img.shape, seg_img.shape)\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20, 8))\n", "ax1.imshow(car_img)\n", "ax1.set_title('Input Image')\n", "\n", "ax2.imshow(seg_img, cmap='bone')\n", "ax2.set_title('Segmented Image')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The more general formulation of the problem is for networks (roads, computers, social). Are the points start and finish connected?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function label in module skimage.measure._label:\n", "\n", "label(input, neighbors=None, background=None, return_num=False, connectivity=None)\n", " Label connected regions of an integer array.\n", " \n", " Two pixels are connected when they are neighbors and have the same value.\n", " In 2D, they can be neighbors either in a 1- or 2-connected sense.\n", " The value refers to the maximum number of orthogonal hops to consider a\n", " pixel/voxel a neighbor::\n", " \n", " 1-connectivity 2-connectivity diagonal connection close-up\n", " \n", " [ ] [ ] [ ] [ ] [ ]\n", " | \\ | / | <- hop 2\n", " [ ]--[x]--[ ] [ ]--[x]--[ ] [x]--[ ]\n", " | / | \\ hop 1\n", " [ ] [ ] [ ] [ ]\n", " \n", " Parameters\n", " ----------\n", " input : ndarray of dtype int\n", " Image to label.\n", " neighbors : {4, 8}, int, optional\n", " Whether to use 4- or 8-\"connectivity\".\n", " In 3D, 4-\"connectivity\" means connected pixels have to share face,\n", " whereas with 8-\"connectivity\", they have to share only edge or vertex.\n", " **Deprecated, use ``connectivity`` instead.**\n", " background : int, optional\n", " Consider all pixels with this value as background pixels, and label\n", " them as 0. By default, 0-valued pixels are considered as background\n", " pixels.\n", " return_num : bool, optional\n", " Whether to return the number of assigned labels.\n", " connectivity : int, optional\n", " Maximum number of orthogonal hops to consider a pixel/voxel\n", " as a neighbor.\n", " Accepted values are ranging from 1 to input.ndim. If ``None``, a full\n", " connectivity of ``input.ndim`` is used.\n", " \n", " Returns\n", " -------\n", " labels : ndarray of dtype int\n", " Labeled array, where all connected regions are assigned the\n", " same integer value.\n", " num : int, optional\n", " Number of labels, which equals the maximum label index and is only\n", " returned if return_num is `True`.\n", " \n", " See Also\n", " --------\n", " regionprops\n", " \n", " References\n", " ----------\n", " .. [1] Christophe Fiorio and Jens Gustedt, \"Two linear time Union-Find\n", " strategies for image processing\", Theoretical Computer Science\n", " 154 (1996), pp. 165-181.\n", " .. [2] Kensheng Wu, Ekow Otoo and Arie Shoshani, \"Optimizing connected\n", " component labeling algorithms\", Paper LBNL-56864, 2005,\n", " Lawrence Berkeley National Laboratory (University of California),\n", " http://repositories.cdlib.org/lbnl/LBNL-56864\n", " \n", " Examples\n", " --------\n", " >>> import numpy as np\n", " >>> x = np.eye(3).astype(int)\n", " >>> print(x)\n", " [[1 0 0]\n", " [0 1 0]\n", " [0 0 1]]\n", " >>> print(label(x, connectivity=1))\n", " [[1 0 0]\n", " [0 2 0]\n", " [0 0 3]]\n", " >>> print(label(x, connectivity=2))\n", " [[1 0 0]\n", " [0 1 0]\n", " [0 0 1]]\n", " >>> print(label(x, background=-1))\n", " [[1 2 2]\n", " [2 1 2]\n", " [2 2 1]]\n", " >>> x = np.array([[1, 0, 0],\n", " ... [1, 1, 5],\n", " ... [0, 0, 0]])\n", " >>> print(label(x))\n", " [[1 0 0]\n", " [1 1 2]\n", " [0 0 0]]\n", "\n" ] } ], "source": [ "from skimage.morphology import label\n", "help(label)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Labeled Image')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20, 8))\n", "ax1.imshow(seg_img, cmap='bone')\n", "ax1.set_title('Segmented Image')\n", "lab_img = label(seg_img)\n", "ax2.imshow(lab_img, cmap=plt.cm.gist_earth)\n", "ax2.set_title('Labeled Image')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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iPs2Pl1NSRPw88EXgjZl5e9vztC0zT9/3cSfsKzPzwfYmat2dwJ9HxHuAXwCOpQn9VPQYP1pyeRQ4CviJ9sYZP5Mx6mtpjsY2AkPA8pbnadPlwHOAKyNi39r6GZk55U8SCjLztog4Hfg3mp/K/ywzd7c8VlveC1wfEV+luRLo8sx8suWZxoWv0ihJhUzGNXVJ0n4YdUkqxKhLUiFGXZIKMeqSVIhRl6RCjLokFfL/aR47+7CbXokAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax3) = plt.subplots(1, 1)\n", "ax3.hist(lab_img.ravel())\n", "ax3.set_title('Label Counts')\n", "ax3.set_yscale('log')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Component Labeling: Algorithm\n", "\n", "We start off with all of the pixels in either foreground (1) or background (0)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage.morphology import label\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "seg_img = np.eye(9, dtype=int)\n", "seg_img[4, 4] = 0\n", "seg_img += seg_img[::-1]\n", "sns.heatmap(seg_img, annot=True, fmt=\"d\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Give each point in the image a unique label\n", "- For each point $(x,y)\\in\\text{Foreground}$\n", " - Set value to $I_{x,y} = x+y*width+1$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "idx_img = np.zeros_like(seg_img)\n", "for x in range(seg_img.shape[0]):\n", " for y in range(seg_img.shape[1]):\n", " if seg_img[x, y] > 0:\n", " idx_img[x, y] = x+y*seg_img.shape[0]+1\n", "sns.heatmap(idx_img, annot=True,\n", " fmt=\"d\", cmap='nipy_spectral')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In a [brushfire](http://www.sciencedirect.com/science/article/pii/S0921889007000966)-style algorithm\n", "- For each point $(x,y)\\in\\text{Foreground}$\n", " - For each point $(x^{\\prime},y^{\\prime})\\in\\mathcal{N}(x,y)$\n", " - if $(x^{\\prime},y^{\\prime})\\in\\text{Foreground}$\n", " - Set the label to $\\min(I_{x,y}, I_{x^{\\prime},y^{\\prime}})$\n", "- Repeat until no more labels have been changed" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "format": "tab", "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0, 8) 73 vs (1, 7) 65 -> 65\n", "(1, 1) 11 vs (0, 0) 1 -> 1\n", "(1, 7) 65 vs (2, 6) 57 -> 57\n", "(2, 2) 21 vs (1, 1) 11 -> 11\n", "(2, 6) 57 vs (3, 5) 49 -> 49\n", "(3, 3) 31 vs (2, 2) 21 -> 21\n", "(5, 3) 33 vs (6, 2) 25 -> 25\n", "(6, 2) 25 vs (7, 1) 17 -> 17\n", "(6, 6) 61 vs (5, 5) 51 -> 51\n", "(7, 1) 17 vs (8, 0) 9 -> 9\n", "(7, 7) 71 vs (6, 6) 61 -> 61\n", "(8, 8) 81 vs (7, 7) 71 -> 71\n", "Iteration 1 Groups 12 Changes 12\n", "(0, 8) 65 vs (1, 7) 57 -> 57\n", "(1, 7) 57 vs (2, 6) 49 -> 49\n", "(2, 2) 11 vs (1, 1) 1 -> 1\n", "(3, 3) 21 vs (2, 2) 11 -> 11\n", "(5, 3) 25 vs (6, 2) 17 -> 17\n", "(6, 2) 17 vs (7, 1) 9 -> 9\n", "(7, 7) 61 vs (6, 6) 51 -> 51\n", "(8, 8) 71 vs (7, 7) 61 -> 61\n", "Iteration 2 Groups 8 Changes 8\n", "(0, 8) 57 vs (1, 7) 49 -> 49\n", "(3, 3) 11 vs (2, 2) 1 -> 1\n", "(5, 3) 17 vs (6, 2) 9 -> 9\n", "(8, 8) 61 vs (7, 7) 51 -> 51\n", "Iteration 3 Groups 4 Changes 4\n", "Done\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, m_axs = plt.subplots(2, 2, figsize=(20, 20))\n", "last_img = idx_img.copy()\n", "img_list = [last_img]\n", "for iteration, c_ax in enumerate(m_axs.flatten(), 1):\n", " cur_img = last_img.copy()\n", "\n", " for x in range(last_img.shape[0]):\n", " for y in range(last_img.shape[1]):\n", " if last_img[x, y] > 0:\n", " i_xy = last_img[x, y]\n", " for xp in [-1, 0, 1]:\n", " if (x+xp < last_img.shape[0]) and (x+xp >= 0):\n", " for yp in [-1, 0, 1]:\n", " if (y+yp < last_img.shape[1]) and (y+yp >= 0):\n", " i_xpyp = last_img[x+xp, y+yp]\n", " if i_xpyp > 0:\n", "\n", " new_val = min(i_xy, i_xpyp, cur_img[x, y])\n", " if cur_img[x, y] != new_val:\n", " print((x, y), i_xy, 'vs', (x+xp,\n", " y+yp), i_xpyp, '->', new_val)\n", " cur_img[x, y] = new_val\n", "\n", " img_list += [cur_img]\n", " sns.heatmap(cur_img,\n", " annot=True,\n", " fmt=\"d\",\n", " cmap='nipy_spectral',\n", " ax=c_ax)\n", " c_ax.set_title('Iteration #{}'.format(iteration))\n", " if (cur_img == last_img).all():\n", " print('Done')\n", " break\n", " else:\n", " print('Iteration', iteration,\n", " 'Groups', len(np.unique(cur_img[cur_img > 0].ravel())),\n", " 'Changes', np.sum(cur_img != last_img))\n", " last_img = cur_img" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The image very quickly converges and after 4 iterations the task is complete. For larger more complicated images with thousands of components this task can take longer, but there exist much more efficient [algorithms](https://www.cs.princeton.edu/~rs/AlgsDS07/01UnionFind.pdf) for labeling components which alleviate this issue." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from matplotlib.animation import FuncAnimation\n", "from IPython.display import HTML\n", "fig, c_ax = plt.subplots(1, 1, figsize=(5, 5), dpi=150)\n", "\n", "\n", "def update_frame(i):\n", " plt.cla()\n", " sns.heatmap(img_list[i],\n", " annot=True,\n", " fmt=\"d\",\n", " cmap='nipy_spectral',\n", " ax=c_ax,\n", " cbar=False,\n", " vmin=img_list[0].min(),\n", " vmax=img_list[0].max())\n", " c_ax.set_title('Iteration #{}, Groups {}'.format(i+1,\n", " len(np.unique(img_list[i][img_list[i] > 0].ravel()))))\n", "\n", "\n", "# write animation frames\n", "anim_code = FuncAnimation(fig,\n", " update_frame,\n", " frames=len(img_list)-1,\n", " interval=1000,\n", " repeat_delay=2000).to_html5_video()\n", "plt.close('all')\n", "HTML(anim_code)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Bigger Images\n", "How does the same algorithm apply to bigger images" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TLsvFamuGc2g2oK2taxuWBvPYxYksnxXBiWd5P+7LZkbgH1DBxbfUPO6X3XWQAFtFjcFj3kELmfv96XBCSdXgEMAaWMlpl+YBsH2db6cZXrc0mAcuSWTp7Ah6N9C95CN39/Cba3Zf8X8HCQiqYGm14d2Kr907dC69KbNqcAgQFFzJ6PsOUuo0s3iG7wP/pGXBTByeyJJPIugz2Hs7wOdT7dx/WSJ/bAyk95mFXu+Xsc+PdctD6NG/qGpwCBAQVMno/8ugstLEd3PCfepesyyYOy9LZNGcCPoeofuTt+3834hEtm4MpG8D3QAFeWZefjCeJ27sSGmxie59nD511mf198HcOiKRBZ9G0P/Mhttn/cfO7SMTSf41kH5neG9P+jGYYqeZC/+WW2NwCDD6xiz8/CpZs9z3fzasWB7M+JGJfP1pBKee0XD7jHfsTLgykc2/BjKggfZtWwKJji3jkityqgaHACGhFZw2uIDychNbfvPtVL0/Lw9m3JWJfPlZBAOP0P3Bf+1cPyqRzb8FcurpDT9eDikvg+eeiCfSXk6XE5p2Xfrxh2DGjEpk7ucRDDq94fZ3p9m5+qpEfv8tkEGDGm4/NDw8oVvzvAEH4Icfghl1VSKfz43g9CO0T3vXzlV/T+S33xtuP3DAj++WhnDawMIag0OAMVdlM/SiPKKqPY6aW1tbR4+GUdp9Hh46HI57gIPAxGq33QZsA14AbgHuBd4Hdjgcjkt8/ZzNadmyZTidTq677jomTpx45D/Qhqi95Rm1G4zbPnjwYFwuF8uXL6/zsSVLlmA2mznnnHNaoezIdTrSNwAAIABJREFUjHrMwbjtRu0GtbcGo3aDcduN2g3GbTfyOmrkdjEGI/xsmzcnnIpCM9GPpxE/dX+99ynLsODabSXg5GLMtXbdmW2VBPZ24tplpeyAe0dHYN9iIu88iO2Morp/mdX95ysLfXvpIHNOOOWFZjo9nkZXL92uDAslu60En1xcZ7egxVZJcG8nJbuslHq6o4bnc9KynUSNyKtx38oKKNnlPt2WX7Tvu4J2zwmnrNDMyY+nMdBLe3GGhcLdViJPLsavVrufrZLI3k4Kd1lxHqi7i+a3Z2IpzrDQ97kDmJp4k80fc8JxFZoZ+Hga53ppd2ZYyN9tJfrkYvxrtfvbKonu7SRvl5XCau1ZmwMJ6ejCP8T3XZ312TAnnNJCMxc9nsYoL90FGRayd1tpf3Ix1lrdVlslHXo7ydplJc/Tvc1z7a6eQ+vu8LB3dnHp82mceGnz7f6oT1tb1378NJziQjNjHkvjjrfqP+65GRbS91hJPKmYwFrHPcBWyXEnO0nbZSXbc9xtYRWYLZXkZvhRVms2npPuvk+ojy80f/+Zu3vso2nc80b93TkZFtL2WOnipbtrbycHdlnJ8nSn73V/D+l2St3hVUJ394v9yWt9Pz3iss/CcRaaue6RNCa+Xn/7IfP+ayemvYtH/pvCX6/N9nq/5F/cw9heA+t+T+/ez4mffwW/r/KtfcnccJxFZm58OI2HX2u4+/NpdmLbu3jqnRQuucZ7N8C+XVaWzw+j/5BCXpqzmx71HH9fLfa03/xgGo++2nD7p++62ye9ncLwq723J3Qt5erbDzLo3LoDGrOlErNfJc4i3/fvLJjrfrzc8UAa/3yl4fZZ79mJa+fihakp/O3v3tv7Dyri/Xm7GDM+q87H9uy0AhDl41r6zbxwigrN/N8/0njmpYa7P3rfTnw7Fy++mcIVYxp+vBzywX+j2LYlgImPHsDWxG8C+XJeOEVFZu67P41/vdhw+4fT3e1T3khh9BHat20LICCggk6dmvZNQ9XN+8rdfv/ENF78V8Pt0z+w0y7exRtTUhgz2nv7Tz8HU1lp4rzz6q6XYWEVPPH4Aa64ov6zLDSHtraOHg2jtPv0T1OHwzES+BeQBqzy3DYceA3IAyYDSYA/cBpwM/CJw+EYkpycvMqXz91chg4dyq233kpQUPNdYL25qL3lGbUbjNluNpvp1q0bu3btqvGujEO2b98OQPfu3Vs6rVGMeMwPMWq7UbtB7a3BqN1g3HajdoMx2428jhq5XYzBKD/bRozNJmByKuYGhjau7e4X+/y9vCDln+DCuQJKd1jxiy8jaICToAH1v0BbuCAEAKvDt3fyx47NJnFyKpYGuos93QFeugMSXOSvgOIdVqz1nD6totRE8R9WDrxpp/iPAKJG5BLQ0ffhYdex2fSdnNrgoCzf0x7spT04wcXBFZC/w0pQtfYDS4PZ82k4Pe7NIKxb010n8JAeY7M58wjtuZ72EC/toQkuDqyA3B1WguPLKM6y4Ez3I7ZfEWufi2bvkhAKD/gR3L6MLpfkceKN2Visvg0VTx2bzaWTUwlooPugpzvCS3dkgotdKyBzh5Ww+DLSPadaje5aypoPIlg3O5ysXf4ER5XTa1g+g2/LxD+oeYah9WmL69r512Yz/vnUOsO16lJ3uI97TEL9xz0mwcWWle77RcaX4R9QyRl/y+WH2RG891A8l991kOCIcn5ZFMrSDyOI7lhKvwt9G9peeE02Nz2XSlAD3fs93bFeHi9xnVxsWgn7d1qxx5fh73kM174OIoAz333tuox9jb8WmzdDr8nm1mcbbj/kjhdS6TO4ELMZfl3hffi3zzPwiavna/XzB3tcGWl7/SkvA8sxvio87O/Z/N+kxnXf83wqfT3dG1Y2PLSMiXcxeeZuju/VPLuaAS79ezZ3P52KrRHtE59Lpd+Z7vb1DbR37VFC1x71N6/9IZjSYjPdTvR9EDpiTDb/+Gfj2h96JpVTPe2/HMWwuMwF+1OsfDojgnWrg+k7sJBefXzbHfe3q7J58MnGdT86KZWBZ7i7kxrRnbwpgBnv2rl0ZC59Bzh5b6pPqXWMGp3NY0+kEtyI9qeeTmXQ6e72Nau9t5eXw/Y/Aohv5+K9d+18uziU1FR/7PZyzjknn+vGZxES4vsQdPSobJ54rHHtTz+Vyume9tUNtG/znNGhS5dS5n8TyuxPItmxw0pISAVnDyngphsPEh7eMrv42+I62lhGavf1fW33AOnAScnJyYdOGP4QkA+cmpycvLXafec4HI7pwM/AI0Cb3IHYs2fP1k44ZmpveUbtBmO2h4WFYTabycqq+44ogJwc97tbIiKa53ohvjLiMT/EqO1G7Qa1twajdoNx243aDcZsN/I6auR2MQxD/GwbNPDILz6We17YNkfUv5vHHOp+Uacir+FdEK79fmS95r5+UNgY395FHnoU3RYv3RZPd3k93RUlJtaffELV78PPLyDhKd+vLQUQ3Yh2l6fd30u7v6e9rFp7abaZ9Y/GEdnbyQnjG7e74mjFN6K91NMe4KXd6ml3edqzNrlfOExPslGc5UfHcwspc5rY/0MwG16LJnWFjQve3efTALFzI7qLPd1BXroDPd3Fnu78NPfLXwufjmX7chuOCwpIPK2InT/ZWPEfO3vWBnH19BT8fBx8NlZbXNccpx75uDvz3Mc9OLz+427zHHdn/uHH+phH0wmzlzN/qp3VX4VV3X5CvyJufKnhYWVj9GhEd5Hn8RJyhO4iz+Ol68nFrFsWwqoFoThqXY9xzWL3myqcBb7vJOvp5Y0b9ek7pHGncCzKO/LXWpFiorjITHDYsb3If+JRdPdvZDeAPbYce2zznvLwpP6Nbx9wVuPb61OQZ+a//44BYOgVvl9PtfdRtJ92jO2jL+xKXq77MdSrt5PHj7BjrTH69Gt896DBje8uLTHx3BPxxLVzceMdGceSdkR9j6L9jCOclveQPbutlJSY2b0rgK++NDP4rAIqyk2sXWvjo5l2Vq4I5q3/7CU01LchXL++jW8/s5HtGRnutXT6dDs//BjMWYML6NPbybr1QXz6WQRr19p45z97CDvG7y1Hoy2uo41lpHZfh4c9gBnVfrgCOAmYXeuHKwCSk5M3OhyOT4BLffy8IvI/KCTE/Y/0kpL639F16PbAQN/Oxy4iIvJnZOR11MjtYhh/mp9tKwvdO2VMXoYgh26vLKm7o+aQsnQLqdd3pCLbj7BROdgGNf2p42orb2R3RT3d5QVmYq7OBhPkr7SR+20I267vSNc39lcNHZvToXazl/ZDt5dXa9/wRByuPDOnTD+AydLsiV65PO3ehn2WWu2uAjNhiaXEn1bEqY+mY/a8quQqMrHstvak/hzMb29H0vv2+l8Qa+nuMk93qeeUgTt+tDH247208+xsKis18emd7fhjaQirpkVyxs3N232IUde14iL38fQ2ZD10u6vaY33tglCWfRSBLbyC3ucWEBhcQfIqG9uSbHw0KZbxzx/AP6B5h7Ylje327DQ8+4pcFkyPZMnHEdhCKzj3ylysgRWsWRzKp69GYw2qoKyeXYltQbGz4a+1oV2V0nQK8808eXsHDqRYGXBWAedeknfkP9TKysvgrPPzCQis4Lf1Nn7fEMTd1ycw6bUUomJa7jp2jfXOG9Hs3W3lxbdSCGrBneO+ysm1cNxxJSQeV8pjjx8gINCzXpXB00/Fs2hhGK+/Fs0DD6W3cmldRU73WvrDj8G89O99nHaa+/TIFRXw3PNxfDEvnLemRnP/xOZvN+o6CsZq9/VtMiag9r/Ecz2/vMkFrD5+XhH5H1Rc7H7Hn9Va/7eQgAD3u2ALChq+ELCIiMj/IiOvo0ZuF8P40/xsa/K8CF/p5YXhQ7ebg+sfqpXu8GffVZ1w7bRiO6+A6Edb5sUrcyO7LfV0+0eV0+nRDDo9kkGPubuxX5ZLwWob+1+Jar7gao7UXuG53c/TnvJVKPsXhNLj7oOEdmm+6x01hsXTXu6lvbxWe+eLCrhs4S5Oe/Lw4BDc10cc+Lj7sbLjy7A6f09T8/N0Vxyh2+rpNnte/er/95yqwSG4Byx/eci9Y+X3r0KbK7cOo65rh4Z85a76j/uhgVqA57pju34LYNr98QRHlPPkl7sYNymN0Q9l8OhnuxkyOodfFobyyeSYFusuO0J3oKc7zF7OvW/uIyKmjHlTo7jrvC7cesbxfPhMDKPvyyC2owtrYMucmu9oHRoOevtaXbW+Vml6mekWHprQkeRfg+je28l9z6ZiMsCs1uIHdz6Uzk33HOTV9/cwamwWO7YF8Prk2NZOq2NDUhCffhTBiNE5nNwM18ZsTqec4mTGx7uZ9Gxq1eAQwM8P7p2YjtVawbeLQylve/NaLGZ37/nn5VcNDsG9xt55RwYB1goWLw6lsgVmuUZdR8FY7b4OD9cCVzgcjur/Iv8a+KvD4ahzARiHwxEG/A343cfPKyL/g3JzcykvL/e6bfvQ7bm5vp8OQkRE5M/GyOuokdvFMP40P9seOl1pRX7929kqPKcTNNdzPR3nyiD2jU6gLMVKyCV5xL+yH5Pvl/VqlEOnKy330l3u6bYc4TpAJj/o+HAGmCrJ+TakaSO9sHraXV7aXZ52v5AKnGkWNj4Vi72vk65jfTsdbFM4dLrSUi/tpZ52ayOuvxSW6MIaVk7B3uZ/0AR6uou9dBd7ugM83QGh7vu3P6nutbsiE1wEhpWTvaeFHuwYd107dLrSQ6fGrK3Ic9yDPDt+f/gknMpKE8PvPEhY9OFXws0WuPLBDIJCy/npszAqmnmO1ejuao/zricXM/nrXdz27/1ccVcG1z95gH8v2sm5o3LJTvcjog3uxAII8VxvrCi//pd8i/LNmC2VBNqMs1PLSHYkB3DfNQnsTA7klEGFPPVmCkEGPNYmE4y79SChYeWs+D6kTQ2yigpNPP9UPB06uRh/y8Ej/wEDCQ2toGMnF0VFFnJyWvG0BF4Ee75H9uxRdy0NCamgQ0cXefkW8o5wavymYNR1FIzV7ut/yX8BccBSh8MxyHPbI0Aw8IXD4XAcuqPD4TgL+A5oD7zp4+cVkf9BLpeL7du3k5CQgJ9f3bMud+3aFYBNmza1dJqIiEibZ+R11MjtYhh/mp9trV1KAXB5GYQcut3/+NIat+d/Gcr+GzpQkWsh4oYsYl840GKDQ4BAT3eJl+5Dtwd6uou2WMn6KrTqlKHV+YVVYAmvoCyzZV54C/G0F3ppP3R76PGlZPwUjCvXQtYvQczr0Y0vHId/Ofe57/dlL/fvW0K4p73AS3u+5/Zwz3HP2+lP6oqgqtOGVldZ4T69qaWZT0EJEO3p9jbwO3R7tKc76jj3Dk9vO+bKy0z4t+Bp74y6rrXr6j6eGV4GxBme497ec7+s/e7ft6v1/QbcO+RiE1y4is3kN/Nztb3n8ZLupTvNc3uHrjU7A4IqGXhRAZdMyObskXlExJSTttufwlwLHY+v/3Rzra19F3dX2t66O1rKXJB5wJ8Ox9X97yG+W7fSxoPjO5KZ7s+5l+Ty6Cv7CGzjp9NM2e3P94tCyK7nOWjxg5h4F+XlJgpaYBjUWJt/C+LAfn9S9lgZOvgEzh3QrerXbxvc7/caM7wL5w7oRkaar1dsa3qp+/34JSmInJz6j+mhUw9bW+gavEejc4Ln35hlXnZxe24PaIF/Bxh1HQVjtfv0zE9OTl4A3AU4gB8dDsde4D1gN3AesMnhcOQ5HI4iYCnQF3gvOTn5fZ+qReR/1vfff09AQABnnHFGnY+df/75VFRU8NNPP7VCmYiISNtn5HXUyO3S9v2Zfrb1iyvHv3MpJRsDqSiq+eJORZGJ4g1B+Hcuxa/aLqCC+SGk3x8P5Sain0gjauLBFj/FmjWunIDOpRRtDKS8Vnd5kYnCDUEEdC7F39Od9h87u+5tR+7SursLS/f7UZ5jIaBzy5wSNCiunODOpWRvDKSsVntZkYnsDUEEdy4lMLqc8B4lOG7PrPeXn2d3XLdb3b9vCba4ckI7l3JwYyCuWu2uIhMHNwQR2rmUIM9xX/t8DIvHdSLl++A6f9fBjYGUl5iJPrnujoSmFhpXTmTnUvZvDKS0VndpkYl9G4KI7FxKiKc74VT36dV2/myr83elb7XiKjIT62jZYZAR17WI2HJiE0rZuTGw6jqCh5QUmdi5MYjYhNKqXYZh0WUApO2sO8gqL4ODKf74B1RU7QxsLpGx5cQllLL91/q7t28IIi6hlHBP97qlwdx+VheWfBxe5+9atcB9etveQwqbtflY9ejnPoXj76vqbJpn81ob5WUmuvU11mkejeDXtUFMuqs9zkILo2/M5K6n0vBrwTfgHKtv5oYz6cH2LP667ummnUUm9u22EhpWTmh42znNbbsOLq6dkFnvr9g497o/YnQ2107IxOblFO2t6cMP7dx+ayfmf133+0tqqh8HDviTkFBKaAtcs/lo9fV871i9uu5amp1tYf9+fzp1KiUwsGUGn0ZcRw8xSrvPbxtITk5+FTgFeAf3dSL+Agz0/H8TEAL4AT8CVyUnJ4/39XOKyP+uadOmAfDMM8/UuHDs8OHDOfvss5k3bx779u1rrTwREZE2zcjrqJHbxRj+TD/bho7MpdJpJuvl6Bq3Z70UTWWRmbAxh0+XWbrTn/SH4qHCROyzBwi/qvVOkRQ1MpcKp5nUWt37X4qmoshMTLVu+6V5AKS+FlV1SlNwDxp3PxoHQPQVLfe1JIzMpdxpZnOt9s0vRVNeZOY4T3t4jxK635FZ7y//MPcLhY7b3L9vKcePzKXMaWZ9rfb1L0VTVmTGUe24J16cD8DGKVGUFhw+7sXZZlY95b4uVo+x2S1QDX1G5uJymvm+Vveyl6JxFZnpX627x0UFBEeV8eu8MHatPDxUKSsx8e2z7mvunXJlyz72jbqunTEyl1Knmbmv1Dzuc1+OpqTIzNnVjvupw9yPl3mvRZGfffjxUlnpvn9hroW+fynArwWuHnvWCHf3nFdrdn/ySjQlTjPnXXW4u3PPEvKzLXz7UUTVNQIBtv4SyFf/jSS6vYszhuU1f/QxiOlQRq+Bhfy+Kphfqg35S5wmZr0ajclUyQWjWv+UyX8muVkWJv+jHaUlZq69I4Mxt7Tc929fnTs0D7O5kk+mR9bYpVfmglefjaOkxMyFw3OrrhvbFrTv6GLcjZn1/oqNd79hYeRV2Yy7MbPqNJttyfkXuL8vfjQjkoyMwzs+nU4Tzz8bR0WFiStHt8w6erQG9C+ic0Ipa9YGs3Dh4esEl5fDy6/EUFZmYvilLbeWGnUdBeO0N8ne3eTk5E3ATQCea0R0wP2DVTnui8hvT05Obt2rgIvIn8LKlSuZMmUKt99+Oxs2bGDu3Ll07NiRK6+8kgMHDnDPPfe0dqKIiEibZeR11MjtYhx/lp9tI8blULgglNz3IynZHEBgn2KK1wdSvNpGYP8iwsccfmEne0oUlU4zfh1cuPZayXotqs7fZw4pJ+K65n+xOXZcDjkLQkl/P5KizQEE9ymmcH0gBatthPQvIrpad/iQIqKuzCFzdgS/D00k4oICqIS85cGU7vMnYmg+Mde03AvkXcflsH9BKDvejyRvcwCRfYrJWh9I5mobUf2LSBzT+tet8abnuBz2LAhl8/uRZG0OIKZPMRnrA0lbbSO2fxGOau3HDctnz6IQ9iwK5YuhiSRcUEB5qYl9y4JxZvjRY1w2nc5tmR1Zp47LYfOCUFa/H0na5gA69CkmZX0ge1bb6NS/iL7VugNCKrjk+QPMua09H93QEcf5BYTGlrH9BxuZOwLocVE+vTyDrpZi1HXt/LE5/LIwlCXTI9m7JYAuvYvZsT6QrWtsnNCviCHV3oDQ64wizrsmmyUfRPL4xYmccn4BAbZKtiUFsfu3QOK7lHDlg+kt0n3R2BzWLA5l4QeR7NkSQNfexfyxIZAta2w4+hVx3ujD3fa4MobflMXcN6N45G8J9DmrkPxsC6sXhmK2VHLLC6ktMvA8VuMeyuDxqwN56a72DPxLPva4MtZ8G0LaXiuX3pBJQjedtrQpff5BJLlZfoSElVNaambmW3XXUYAxN7e9oWLXbqVcPSGT6VOjuWlUZwafn4/VWskvq2zs3RVA735FjDPQMNQITjnFycgrs5kzO5KrxyRy7rn5WCywcoWN/futnHd+HpePaJv/ZrBY4MknU7njzo488VQ8i78NpVOnUpJ+sZGcHEifPkVc1YKDT6Ouo2Cc9iY/8W9ycnImoO8qItJs7rjjDrZs2cJNN93EnXfeSWZmJh9//DGPPfYYO3fubO08ERGRNs3I66iR28V4jPyzrclaSfvpKWRNsbuHiOsDscSXEXFzJpETsjBVu46Oc5X71FNl+/zJnlL/C56WOFeLDA/N1kpOmJ5C6hQ72QtCKVwfiDW+jLibM4mfkIW51vV/Ov8znZA+xWTMjCDz0zAwQVC3EuJvySRqZF6LnnrVYq3kjOkpJE+xs39BKFnrAwmKL+OEmzM5YUIWljZ47aJDLNZKLpiewsYpdnYtCCVjfSDB8WWcdHMmJ9ZqN5lgyCupJH9UxB9zwvljThgmC0R2L6H/gxkcd3HLDeD8rJVcPT2FH6bY2bwglJT1gYTFl3H6zZmcPiELv1rHvOvgIq77ZA8/vhHF7pVBlBaZiUxwccGD6Qy4tnV2YhlxXfO3VnLPeyl89bqdtQtD2bE+kMj4MobelMnQCVn41zruox7KoEsfJ8tmRrBmfihlpSaiOpQx9MZMLpqQTVAL7Qzyt1by4LQUPn/DzuqFofyxIZDIuDIuuTGTYTfU7b78tkyi2rv4dmYE382KIDi8nP4XFDD85kzaJbbt95B06FLKUzP2MPu1aDb+FIyr1ES7xFJufOoAZ1/eNndMGtmva9zraEGehY+n1r+OQtscHgJcfWMWiceX8tnMCJYuCKOiAjp2LuXGu9O5bFSOIU6/ajT33JtBz57FfDongoUL3KeMTUws5epr0rj0stwWP3X80ejRvYTp7+3mnWlRrFwZzKrVNuLiyphww0GuvSabei7h16yMuI4eYoR2U2Vl2/0HbGMlJSUZ/4sQ+ZPq379/ayccs7Vr17Z2goiI/I8z8jpqZJWVlW34R3b5M/srJkP+bFv3qj3G0Km1A3xg1GMOxj3uYw28Mixr3ksKNqvAtnfWwUbxM2g36Ji3BqMeczDucTfyMbcYuD3S+3xdmokvP9u2oTMWi4iIiIiIiIiIiIiIiEhr0vBQRERERERERERERERERAAND0VERERERERERERERETEQ8NDEREREREREREREREREQE0PBQRERERERERERERERERDw0PRURERERERERERERERATQ8FBEREREREREREREREREPDQ8FBERERERERERERERERFAw0MRERERERERERERERER8dDwUEREREREREREREREREQADQ9FRERERERERERERERExEPDQxEREREREREREREREREBNDwUEREREREREREREREREQ8ND0VEREREREREREREREQE0PBQRERERERERERERERERDw0PBQRERERERERERERERERQMNDEREREREREREREREREfHQ8FBEREREREREREREREREAA0PRURERERERERERERERMRDw0MRERERERERERERERERATQ8FBEREREREREREREREREPDQ9FREREREREREREREREBNDwUEREREREREREREREREQ8NDwUEREREREREREREREREUDDQxERERERERERERERERHx0PBQRERERERERERERERERAAND0VERERERERERERERETEQ8NDEREREREREREREREREQE0PBQRERERERERERERERERDw0PRURERERERERERERERATQ8FBEREREREREREREREREPDQ8FBERERERERERERERERFAw0MRERERERERERERERER8fBr7YCm0L9//9ZOOCZr165t7QQRERERERFpI74xtXbBsSne2toFx8ZU3toFx87iau2CY2fU4z62tQN8MGRlaxf4oLi1A46RUbsBylo74BjpmLcOox53Ix/zA60dIP8rtPNQRERERERERERERERERAAND0VERERERERERERERETEQ8NDEREREREREREREREREQE0PBQRERERERERERERERERDw0PRURERERERERERERERATQ8FBEREREREREREREREREPDQ8FBERERERERERERERERFAw0MRERERERERERERERER8dDwUEREREREREREREREREQADQ9FRERERERERERERERExEPDQxEREREREREREREREREBNDwUEREREREREREREREREQ8ND0VEREREREREREREREQE0PBQRERERERERERERERERDw0PBQRERERERERERERERERQMNDEREREREREREREREREfHQ8FBEREREREREREREREREAA0PRURERERERERERERERMRDw0MRERERERERERERERERATQ8FBEREREREREREREREREPDQ9FREREREREREREREREBNDwUEREREREREREREREREQ8NDwUEREREREREREREREREUDDQxERERERERERERERERHx0PBQRERERERERERERERERAAND0VERERERERERERERETEQ8NDEREREREREREREREREQE0PBQRERERERERERERERERDw0PRURERERERERERERERAQAv9YOaKvGjRvHHXfcQbdu3SgqKmLRokU8/PDD7Nmzp7XTGu3VV19l69atTJkypbVTjppR243aDcZr13O0dRm13ajdoPbWYNRuMG67UbvBeO1GXkeN3C7SGtric+b+5+P5ZVMQ376/s87H9qb6M/VjOyvXBZOVayE0pJx+vZzcNDoTR5fSOvffusvKGx9Gs2FLIEXFZk7oXMK4v2Vz/ukFzdI+8YV4ftkcxJKJ5K/kAAAgAElEQVRp9be/NdvOyvXu9rCQcvr1dHLTqEwcx9Vtr+7HX2zc8mRH3n4yhUF9ipql/d4X4/llSxBL367bvueAP2/NsfPzRk97cDn9ezq5eWQm3RPrti9aGcKM+RFs2hlAqctEh9gy/nJaPjeOyMIWWNmk3fe8HM8vyUEse7P+7jc/83Tnebp7OLllRP3d36wIYfr8SLanWDGb4OQTirnh0ixO7eVs0uaj0RafowB3vxlP0rYglr9Yz3FP9+eNeXZ++j2YrHwLYbZyBjic3HpJJt0Tah73XQf8ufDB47x+nldu3c9FA5ru+Xr3O/EkbQ9i+bP1dGf488Z8Oz9trtZ9gpNb/5pJ9451Hy9pORZe/zqKZb8Fk1NooV1kGef3KeCmC7MIs1U0WXNV+/R4knYEsfyJetoP+vPGIjs/ba3W3sXJrX/JpHuHw+0PzIzj8zXhR/xcyS9tbbruD+NJ2hXE8ke8dH9r56dtwWQVWAgL8nSfn0n39nWP+ZodQbz5rZ0NewMpLTORGO3iioG5XH16DuZm2AJz96x4kvYEsXxiPe1Z/ryxzM5PfwSTVehp7+zk1rMz6d6ubvuXG0KZvjKCrWkB2KwV9OlUzM1nZdG7U3HThwN3z/G031O3fWemP1OWRZG0J4jsIgsJdheX9c7j2oHZ+Fvq/l3JaVZeXRbN+r2BFJWa6RZXwvjTs/lLj6ZfS+/+Ip6klCCW31ZPd5Y/U36MIikliGynhYQIF5edmMe1/evvrm75DhsTPunIu6NSOD2xedbRu7+KJ2lfEMtv8tK+IoqkfdXae+Zxbd/62xduDeHDdRH8nh5AabmJDmFlXNQtn5sGZmHzb9p1FIARH0HCmfByp7ofs58AQ55wf9wWDVnbYeP7sOoVqCire/+eV8DAuyCmJ1RWQMpK+Hky7P6+6bsboa2uo43R1tu187Aezz77LO+++y4BAQG8/vrrLFmyhNGjR7N27VoSExNbO69R5s6dy8qVK1s745gYtd2o3WC8dj1HW5dR243aDWpvDUbtBuO2G7UbjNdu5HXUyO0iraEtPmf+M9vOgh/C6v3Y1p1WRt+VwLwl4Ti6FPP34dn07enku5UhXH1fAqs3BtW4/+/bArh2YgIrN9g457QC/nZhLgcy/LnnmfbM/DKi6ds/sbPgx/rbk3dZGXVvAvO+C8dxXDFXX5LNKT2cLFkVwt/vr9te+88++GK7Ju+tbuqndr752Xv7FfcnMHdZON0Ti7nm4mz6dnfy7eoQrnoogVW/1Wx/fbadu/7Vnm17A7hwUAFXXZhLgLWCtz+L4trHOlFUbGq67s/tfLPCS/duKyMfTGDu9+7ua/+aTV+Hu3v0I3W7X50dxT0vtycty4/LhuRx0en5bNwWyLh/duSzpfV/jubWFp+jAG99ZWf+6vqPyZa9VkY8kcDnP4XTI6GYay/Ipt8JThYnhXDl0wms3FzzuG/eGwDAeacUcPvwzDq/jq9ngHTM3d/YmZ/kpTvFyohnE/h8ZTg9OhVz7bnZ9DveyeL1IVw5OYGVyTW7d6X7M+LZzsz5OZzeicX8fUgO4bZy3llk57pXO1LiarrHOcBbi+3MX+elfb+VEf9O4PM14fRoX8y1Q7Lpd5yTxb+GcOUrCazcdrj9/JMKuP3CzHp/9TvOPVAZeHzTDVbeWmJn/oYGul9J4PMkT/dgT/dvIVz5WgIr/6h5zJf8Hsy1b3Vk7c4gLuhVwFWDcil2mZj0RSwPzo5rsuaq9u/tzP/NS/sBKyPeTODzdeH0aFfMtYOy6ZfgZPHmEK58O4GVO2q2T14YzX1z2vFHegB/6VnAX0/MJ/lAAGPe6cQX60Obvv0HO/N/99KeZmXE251ZuCmUfglOxgzIwd9SyeTFMUyY0YGyWnPvX/cHMHpaAj/vsHGeo4Ar+uayP9efO2a354NVTbuWvrXCzvwtXrrTrYx4vzMLk0Pp19HJmFNy8PerZPKyGCZ8Ure79p+d+FXzrqNvrbIzP9lLe4aVER92ZuHWUPp1cDKmt+eYL49hwmd126f8bOfOL9uz9WAAF3UrYEzvXAL9KnhrVRRXf9yJoib+/sKZD8KJo+v/WOxJMCEJeo6EPT/C2jegvAQu+BeM+QZMtSafZz8JI2dDaAfY8D78Pgs6ngbXfge9xzVtdyO01XW0MYzQrp2HtfTu3ZsHHniAH374gfPOOw+XywXArFmzmDt3Lq+88grDhw9v5UrvSktL+eCDD1iyZElrpxw1o7YbtRuM2a7naOsxartRu0HtrcGo3WDcdqN2gzHbjbyOGrldpDW0tedMSamJyW/H8MkC7y9ETnozlvxCC89NTOWvQ/Krbl+53sbNj3Xg8Vfi+Po/u6p2nzz5WhylLhMfvbi7alfihCszufq+BF56N5rzBhUQF13PO+aPof35d2L4ZKH39memutufvzeVv551uH3Fehs3P9mBx6bEMf+tXXV2zixZEcKjr8WRX3iELRU+tD/7bgyzF3tv/+c7seQXWXjhrlQuPvNw+88bbdz4dAcefSOOBVPc7bv2+/PWnCjio13Mfm4P0RHlAFRUwCNvxjF3aTj//cLOHaMyfe9+P4ZZ3zbQPc3d/a87U7n4jJrdE57pwCNT41j4irv7jxQrb34axfEdS5g1aU/V7sgbL8tixP2deW56DBcOyie4iXdNNqStPUcBSlwmJs2MYdYy78f9qQ9iyXda+PdNqQw7rdpx/93G+H934OF341j83OHH+pY97uHh9Rdl0b9b8+zAKnGZmPRJDLN+aKD7Y0/39akMG1Cte7ON8a914OEP4lj81OHuB96PJyvfwpSb9nNe70IAKivhoQ/i+GxFOJ+vDGP04Nymaf88hlkrGmifE0t+sYV/X5PKsL7V2pNtjJ/agYc/jmPxw+72808q5PyTCuv8HXsP+vPe9xHEhpfx8tj9TdM9L4ZZKxvonuvpHpPKsFOqdW+1Mf6dDjz8SRyL/+HurqyESV/EYjbBh7fu5eROJQDcM/Qgo6d0Ym5SOFcMzKX/cb4/hkpcJiZ9E8OsNQ20f+VpvyKVYSdXa99uY/z7HXh4bhyL73K3r90dyH9/tBNhK+ejG/bQJcb9XL77goNc/15HHp8XR7/OTjpGNsF6VGZi0oIYZiV5b39kXjzFLhPTrklh0HHuXdWVlfB/c9qxcFMoX/0aymW9D39Nj34Zh6vMxJwJu+ke715Lbz4rk1HvJPDCt9H8pUcBcWG+tZeUmZi0JIZZ6xvoXuDpHpXCoM7Vur9ox8LkUL7aFMplJ+bX+XOLt4bw0Pw48kqaaR0tMzFpaQyzNjbQviie4jIT00amMCihWvtX7Vi4NZSvtoRyWU93+84sf95YGUW7UBdz/r6H6GDPOloJDy+M47Pfw3lntZ07z/BtHQXAEgAXvgz9b/Z+n0veAX8bfHgB7Fp6+PaRs907DE+8Cn790H1bdA846zFI/w3+OxBcnjci/Pgs3LQeLnwJNn0Crrrfg5pDW1xHG8so7dp5WMttt90GwJNPPln1Hw3giy++YOnSpQwbNoz27du3Vl6DkpKSmDhxIkuWLKFPnz6tnXNUjNpu1G4wbrueo63DqO1G7Qa1twajdoNx243aDcZtN/I6auR2kdbQlp4zy1YFM/yWRD5ZEMHg/vWfAi0jy8K6TTa6dy2uMTgEOK1PEf1PdLIvzcofu60ArNsUyJYdgVx4Zn6N05lGhldw4+gsSkrNzPvO991ky1YHM/y2RD5ZGMHgft7bf9lko0eX4hqDQ4BBfYoY4GnftsdadXt6poU7JrXnrufaY/WvpGfXph+qLF0bzLC7Epm9OIKz+nppz7bwyxYbPY4rrjE4BDj95CIG9HSSkn64fdHKEMorTFx3SXbV4BDAbKZqYLhsbbBv3UnBXHxPIrO+jeCsU+rvTs+2kLTFRo/E4hqDw0Pdp/bydO91d2/aGUC7KBfXX5Jd47Sq7aPL6N/TSX6RhW2eIVdLaUvPUYDv1gcz9KFEZi2LYMjJXo57joWkbTZ6JhTXGBwCnN6riFO7O0nJsLJ13+HH+uY9AZhMlXT3DIOavHtjMEOfTGTWDxEMOdFLd66FpO02enYqrjE4BDi9RxGndnOSkmll637P95cdgazbEcSIQXlVg0MAkwluviiLywbmYgvw/bSl3/0WzNDnEpm1IoIhXk4PmZ5rIWmnjZ4dimsMDgFOdxRx6vFOUrKsbD1grffPg3uIMXFGPAXFFp66Ig17iG/t320KZugLicxaGcGQ7l6686p1n1Kru1sRp3at2X0w38K+bH+6tSupGhwCBPpXclm/PADW7fK+g7vR7VuCGfpqIrPWRDCkm5f2fAtJu230bFdcY3AIcHrXIk49zklKtpWt6e72rza615pbhmRWDQ4BQgIquf/CgzhdZj5sYMja6PbkYIa+nsispAiGnFB/e47TTEmZiUHHFVUNDsH92L30JPdx/GXv4eOYtCeQzQcCuahXftXgEMBuq+DWs7IoKTPzuZedpY3u/iOYoe8kMmt9BEO6HKG7c1HV4LCqu5ene1/N//5p+RZu+bQ9t3/eHqtfJb3im34d/W57MEPfTWTWxgiGHHeE9oSiqsFhVXuPuu2LtoVQXmni+v7ZVYNDALMJ7jzdvY4u3eHbOgpAt2Fw62b34HDb1/XfJzAS/AJh55Kag0OAjZ6BYaczDt/Wri/k7oEV/zo8OATI2+s+ZWlgBMSe6Ht7I7W1dfRoGKVdw8NaBg8ejMvlYvny5XU+tmTJEsxmM+ecc04rlB3ZsmXLcDqdXHfddUycOLG1c46KUduN2g3GbddztHUYtd2o3aD21mDUbjBuu1G7wbjtRl5Hjdwu0hra0nPm88XhFDnNPHxrGlMer3/Hi9kM91yfwdjLsuv9uNVz/Z9Cp/tljF9+d78QN7B33dPvHbpt9QbfX2j+7NtwCp1mHrk5jdcf9d5+77gMrh1ef7u/p73IefglmF+3BfL9mmCGnZ3HZ6/u5vjOTT9Y+XSJu/2xCWm8+aD39vuuyWDcJUc47sXu9r7di7lj1EFOr+e41/5vdMzd34VTWGzmsfFpvPWP+rstZph4dQbXDfNyzP1qtlw6OJ/v3tjJ5Wfn1bhfRQXsSvUHICbC911BR6MtPUcB5ix3H/fHr0lj6l3ej/v9V2Zw3UVeHi9+NR8vAJv3BNIx2kVIUPPs6pzzs6d7dBpTb/XSbYL7R2Rw3flH6C5xdy/71f3C/dB+dXc5dY518fy4NC49te7Hjrp9VTiFJWYeH5nG1AkNHPNLM7junMYf89rmJYWyblcQ551YwDm9fN8RNGe1p/vyNKZe30D3xRlcd1bjjnlYUAUWcyXpuX64ymveNy3XfeI8e0itDxxLe1I4haVmHr8kjalXN/B4uTCD687w0m6p2b43y/09pG9C3Wundm/nHmit2W3zvX2d57j/NY2pV9XfHhFUwZe37GbaNfvqfGzHQfewMzbk8Pe6pD3udXLQcXW/pw/q4r5t5U7f1tI5Gz3H/C9pTB3ZQPf1u5k2qp7uTE93cM3v0b+mBrL0j2Au7ZXHl9fvplt006+jc371tJ+XxtTLG2gfu5tpIxvX3rdDMXeefpAzOtezjh56XpQ2wcimz3gICIWvb4GPhtV/n+JsmNobZlxY92MxPdz/W5B6+LZfZ8Arnd2nK63BBPZunvsf8Dm9sdraOno0jNLu02lLHQ7HNGBJcnLyjCbqaVVms5lu3bqxa9euGhPfQ7Zv3w5A9+7dWzqtUYYOHcqtt95KUJDvPyC1NKO2G7UbjNmu52jrMWq7UbtB7a3BqN1g3HajdoMx2428jhq5XYxBP9s2r6svzeaZe1IJtnkfHkRFlDNuRP0v1GbmWPhlUxB+lkq6dHLvjNjh2VHWsV3dry8uqowAawU7U7zvxGmsay7J5tm7GtF+eQPtv3vaOx7e1dGtcymfv7qbrglNd7232q69OJvn70wluIGhTVR4Odd7GXpm5lpI2uxp7+Du7N/TSf+edV8gB1i0IgQAh4+D0Gv/ms3ztzei28vAMzPXQtKWuse8ulKXiT9SrLz1mZ3tKQGMODuXDrEtNzxsa89RgLF/yWbyhNQGh3xRYeWMH+rluOdZWLvNfdy7tnMf96w8C+k5fvQ7oYjnPo5myboQDmT50T6qjEtOy+PGi7Orhs7H3H1uNpPHpRLSwClno8LKGX9BA91/BOFnrqSrZ+fVlhT3LtSu8aV8sDSC2T+Gsyvdn6jQcoYNyOe2izMJsvo+DB07JJvJfz9Ce2g5470MDjPzLazd4WmP8/JYLzPx76+iMZsque+SDJ+bAcYOzmby6CN0h5Qz/mwv3QUW1u6s2R3gX8nIAbnMWhXBA7PiuWfoQcKDyln0aygf/BRBR3spF57k+8B27OnZTB6ZSkjAEdrPbKB9t6c9xt3u7xkmlpbXvU5dQbH7VJop2f6+pjP2tGwmX95we22VlZBeYOGb30N5bVkUMSFljOp/+HS72z0DxQR7PWtpaBkBfhVVQ8dj7u6fzeSLj7F7Syiv/ejp7lPzNMHdYkr5avxujo9uvnV0bL9sJv81lZCjeL5XVkJ6oYVvkkN5bUUUMcFljOp9uH1ARycDOta/ji7Y6llHY5pgELrqZZh7DZTWv2PSq5B20OtKGPIE5O+HpKne72uxQkxPGPwIxPaCddMgd7dP2Y3VFtfRxjJSu6/XPBwHjHU4HGcA9yYnJ9f/yDeIsLAwzGYzWVlZ9X48JycHgIiIpr/welPo2bNnayccM6O2G7UbjNmu52jrMWq7UbtB7a3BqN1g3HajdoMx2428jhq5XQxjHPrZttkMONm3w/nc1FiKnGaGnZNHeKj7dHuHrhEYXs9OFJMJgm0VTXIdwQEn+db+7NuxFBWbGXb24XaATvUMPZvaqSf61j7pv+72S87KIyK04dMc7s/wY8rsKABGX5jj0+c9tZdv3U+/6+kenEdEPadnLCk10eeaE6p+f96AAp6YkObT5zxabe05CjCwu2/H/Z8fuo/7pYMOH/dNnlPBJm2zkZXvx7l9CnGWmPjht2Be+yKaFZttvHvfPp8GiAO7+dg9O5aiEjOXnppHRLC7Oy3H/XLp07NjWf67jQv6FHCao4ifNtv4zyI7a/8IYvpdKT4PPgce72P7Z572fofba/tibShpuf5c2DufLrFN831nYFcfu+d6uvvmEWE73P3Y5enYQ8p56zs7X607fKrM/scV8fLVDQ8rG2vgcT62fx1LUamZS3sfbu/dsZilySF882so/TvXPHXmwk3uYVBBAztDG2tg4tG33/NpPPN/dx/LqOAy3r0mhZhq62aeZ7gZHlT/WhoSUEF+sW9r6cB6dmQeyT3z4pm/xdNtK+PdK2t2AyRENv86OrDTMbR/Hc/85GrtI1OICT7yrtn9eX689rN7HR3T27d1FHCfRvRojfgIThzt/v8Fae7rIBZ6WR8tAfBwtcf7ls/h65uO/nMeo7a4jjaWkdqb4rSlBcDNwG8Oh+OSJvj7Wk1IiPsbeklJ/dP9Q7cHBga2WJOIHKbnqIiIyLEz8jpq5HYxFP1s2wY9NzWGhT+EEhftYuIN6VW3HzoFqLcX763+lZSW1t0F0pKe+08MC38KJS7Kxf3j04/8B9qQZ6bFsODnUOKjXDwwruH2jGwLE/7Zkew8P668IIdBPg6LffHMezEsWOHufvDa+rsLnGb+fmE21wzN5viOJSxZE8INkzqSX9RyV/b5Mz1HAZ6eEcM3a0KJj3Tx4FWHj3uB00xifCmjz8nhq6d38eBVGTw1Lp2vJ+3i9J6FrN1q4+35ka3XPTuGb5I83VdU+/7iOR3lj5tsfDxxLy+OP8DDV2Yw96E9nHNSAet2BDHt29brBnj6sxi+WR9KfISLBy/z/hydvtzdOeHc+l+kbmlPfxHDNxtCiQ938eClNbu/2RjKRysiCA+qYMSAXK45M5tu8SWs3Wnjn1/EUuJq3e/pT38dwze/hRIf5uLBoYfbRw3IJcJWzszVEbz8bRQHcv3IKTIze204L38bTZB/Bc1z0t4j6xFfwoQzsjjXUUBWoYUx73ZidbVrRxZ5To956FSstVktlZSUtfxx7xFXwoSBWZx7fAFZRRbGzOjE6j3GOONLj9gSJgzI4tyunvaPO7F6b8Pt6QUWrp/TkWynH6NOzqlx3ccWdWAd/PQcJH8BwTEw7kfofFb99w0Ig9WvwapXIP036H45XL3IfXsLMPI6aqR2X3ceArwIFAKTgLkOh+NH4Nnk5OQFTfB3t6jiYve03Gqtfzt2QID7HVMFBUe53VdEmoSeoyIiIsfOyOuokdvFUPSzbRviKoMnX4tj3pJw7BFlvPnkPiLDD+9QCbBWeO5X/4uapS4TtqCGd8s1F1cZPPF6HPO+C/9/9u48PKrCbNj4PdmGhBCWgGwBwYVxqRVcWxWLC61Y1NpWRVsFRQq4VLSvr8VW0bZu1VrEXbGiqLgWxGqrlooLFhRcURxfERHZd8i+zffHDBAgCQlZJufz/l3XXMGZQ3IznjknkyfnHDq0Lee+65bSPic5LfVVVg7j7uvMtJltyW1bzv2/r7190dJ0Rt7QnW9WZXD84fn8LklD0rJyuPaBzkx7Pd79wNiau3PbVvD7C+KnbyyvgN/f15nn32jLnU/ncvWwxjmt4678//Aahfjzfs2kzkyd1ZbcnHIm/mYpHaocpXrS4fmcdPjO/4ascIxx567iR2N788J/c7jktOYdbJVVwDWPdWbq7Lbktiln4iVL6VDlKNWUxBz5FwM2cGDPbT/czUiPcfUZq3nt42z+8W4bRg1q/oFcWQVc81Rnpr7bltzscib+avv2qj5c3IrPl4f5To9iDurZ+NeDq4+yCrjmmc5MnZfovnApHaocLfnxkjBXTunCnrllPH7REjq2iR+pVVEZP1Jxyn/b0TG7gmtPb/5tTFkFXPN8Z6a+35bc1uVMPG/79g6tK3jw3KVcMqUr976ey72vx48ey0ir5OpBq3liTjuWbmyMH8HX36+qnH71jS+yGPlEd654riv//vUiWqXHCKcl9qXVnHIV4qdizcpo/v3Xr75XpfvLLEY+250rpnfl3yPj3S3Zr46o0r4oi5FTu3PFi1359/Dq279cl86Iv3fnm40ZnLB3Ptccn8RfNnr7z9v+vPeP4OwX4adPwp17Qfn2R9VSuBr+9ev4n0OpcOpDcPBQGPAHeHlMk6cGeT8apPbG+LWqWDQavQ04FPgP0B94MRKJvB+JREZFIpFOjfA1msXGjRupqKio8ZDQLfdv3Lix2sclNS1fo5Ik7b4g70eD3K5A8b1tC7EpP4VR1+QxfUZbunYq4+Gbl7DPnttf02jb6Ut3/rFGLAYFhSlkZzX/Dzw35acwclwe0/8Tb5904xL2acLrGjamTQUpjPhjHtNmtqVrxzIe/cMS9u1Rc/uc+Zmc/buefLMqg8H9N/HX3ywjPQk/H99UkMKFN+Qx7fV49+Trau+uKi0Vrh62mlAoxr/fyW7i0m2C/hoF2FSYwgV/yWPqrLZ0yy3jsd8uYd/udV/Xe3UpIyergiWrG34tuPrYVJjCBRPymDq7Ld06lPHYFUvYt9v23W0Sp3A8aIdTUAL07FRGTmYFX69p3m6ATUUpXHBfHlPfbUu39mU8dukS9u1a83P+ykfxdfrkfg2/VmBDbCpK4YIH85g6ry3d2pXx2Ogl7Ntl++5n5rQlFgtx2Y/WbB0cAqSmwNWnrqZNqwqeezeHymberG8qSuGCR/KY+n5burUt47HhS9i3mutLfjevmJcv+4q/nrmMK05czZ9OW8F/rljE2UdsZNXmtJ1OuZkMx+5TyAmRfFbnp/H+N/EjmtomfslmUzWnVY3FIL8khTatkvvLL8fuVcgJ++azuiCN95cl/0is+ji2dyEn7J1oX75z++yvMxkypSffbMzglP03cccpy0hv+BnXG8fCl+NHILbpCnnfr33ZWAX86zKIVcaPQGwGQd6PBqm90b6ti0aj84GBkUjkx8BvgaOBu4EJkUjkdWAmMBv4HFgWjUaTv9XcQVlZGQsXLmTPPfckLS2N8vLtL5a99957A/Dpp58mI0/61vM1KknS7gvyfjTI7Qoe39sm14rVaYy6tjtfLgmz317F3DVuKXvk7vwU904Mh5YsT6ffAdv/gH/l2jRKSlPYazeus9QQK1anMfK67nz5TZj9ehdz9zXVt7dEy9ekMeJPifZexdx39VL26FBz+z/ebMPv7u5MWXkKw09bxxW/XEMoCWcUXL4mjRE3dmfh0jD79yrmvquq744uzuCLb8IMODSf1jtcNy2ndSVtsytZu6n5fmIb5NcowPK1aQy/vTsLl4XZv2cx949ZSuf2Oz/vi1aks2JdGt/dq3in572yEkrKQoQzmu8oouXr0hh+Z3cWrgizf14x91+8lM7tqtm+dC7jo68yazwaq7wyRGYzdgMsX5/G8Pu7s3BlmP27F3P/iKV0blv79uU/81sDMKhv8oaHyzekMfzB7ixcFWb/bsXcf0H13UvXx4exe1czmMtIi9GzYxmffNOKtfmpdMppnu3q8o1pDH+kOwtXh9m/SzH3n7uUzrV87cyMGCcftP2RQovXprOhKJUjehc2dS4A6wpS+eCbVnTJKeeArjsfbdojcZ3AdQXxkcDeHRP70vXpHNpzh33p5jRKylPYu1PT70vXFabywbJWdGlTzgGdq+luu313S7KuMJUPlreiS/Yu2gu3b39hQRvGvtyZsooULjx8Hf/TPwn70ayOkPc92PQNrPhg58c3fBn/2HqP+Mc9DoJOB8LnL0BZwfbLlmyEonXblm1iQd6PBqm90U/oHo1GX4xGo/2Bw4EHgNXACcAfgVeAr4AWe/H5119/nXA4zNFHH73TYyeeeCKVlZXMmjUrCWWSwNeoJEkNEeT9aJDbFUy+t21+a9encuHVeXy5JMxR/QqYdMuSGodvh30n/oPYdz7K2rE4bM8AACAASURBVOmxOR/E7+t3QPP971mzIZXh1+Tx5TdhjupbwCM31dze0qzZkMr518Xbjz64gMl/XFLr4PCfb2fz2zu7UFEZ4toRK/nNuckZHK7ZkMqwP+axcGmYo79bwOTra+5+8PkO/M+Ersyct/PRhcvWpLFhcyo9O5c1dfJ2gvgaBVizMZWhf85j4bIwxxxYwONjl1Q7OAS45alODLu1B69/2Hqnxz5a1IqSshS+23vno/uawppNqQwdn8fCFWGO2b+Ax3+zpNrBIcARfeLbl7cX7Lx9+XxpBoUlKUS6N99pQNdsTmXoPXksXBnmmEgBj1+6ZJeDw42FKXy5KkyP3FK6tS+vddmmsmZzKkPvz2PhqjDH9Cng8Ytq7u7UJt64aPXOp/Err4Cl69IJp1XSNqt5tqtr8lMZ+rc8Fq4Oc8w+BTx+4ZIaB4f/+aw1R928F0+803anx176uA0AP+hTsNNjTeHTFWFGP9mdv8zoWO3jnySOfuvZIT40PHzP+Lo+e9HO6/rbX8bvO7RH0+9LP10ZZvRz3fnLzBq6Vya627e8I/k/XRVm9LTu/OXNGtpXJdrbbWt/KZrN//4zvh+97sSVXHlscvajdOkHQ16AE26u4fFD4h/XfRH/ePRv4WdToE81lwbP6REfRm5ZthkEdT8KwWlvsqtBR6PRedFodHQ0Gu0OfA+4ApgCzAWWNNXXbai//e1vANx4443bXZTytNNOY8CAAUyfPp2lS5cmK0/61vM1KknS7gvyfjTI7Qo239s2n7F/6cLXyzM45tAC7hy3lKzMmo/s6bt/Mb3zSvjn6234OLrt37d+YwoPPNWBcEYlP/1h853uaezt29rvuqb29pbmqgld+HpFBv37FXDP2KW0rqX9q2Xp/P7uLlRWhrjx4hUM+VHyTqn1v3cluvsWcO9VS3c6sq2qU/tvAuDOZ3LZXLjtR2GFxSGuvb8zAGec0Lz/liC+RgGufKALi1dlcOxBBdw3pvbn/cdHxI94u2t6LvlF25739fkp/GFy/OiUoT9cX+3fbWxXPtyFxaszOPbAAu67uPbuk/rlk9umnOnv5DA7mrn1/pKyEDc9Gz+D9ZnHNN/6cuVjXVi8JoNj9y/gvhFLaR3e9fZl/pL4OnVwNadebS5XTkl071fAfRfU3j04cWrVO1/JZV2V01HHYvDXf3VkQ2EqP/puPhnNdODZlc92YfG6DI7dt4D7fll7+4HdSlhfmMoTc9pRWuU6vPMWt+LBt9rTvV0Zpx68qTmyObJXIV1yypi1MIuZn28/tH96XlvmfJXFgV2L+U7iqMRDehSzV8cS/jG/DR8t3bYdWleYwr1vdCCcVsnPD2n6df3InoV0aVPGrK+ymLlwh+4P2jLn6ywO7FzMd7ok99qd1TmyRyFdssuYtTiLmV/u0P5RW+YsyeLAPYr5TuKoxEXr0rn6X12ojIW46aQVnH1wEk9N+dVrsHEJ7DUQ9j15+8f6XQi9j4dl82D5vPh9H0+OfxxwPYRzti2bngWnPBj/83sPNn13QlD3oxCc9mbZ5Eaj0XeAd5rjazXU7Nmzueuuu7jkkkv48MMPmTZtGnl5eZx55pmsWLGCK664ItmJ0rear1FJknZfkPejQW7X/z98b9t0/vt+FrM/iP/QrWe3Uh58Krfa5U49YRN5XcoIhWDcpSsZeU0ew6/OY9APNpOdWcnLb7Zh1bo0rh69ko41HA3V2N7+IIvZiSOr9uxayoPPVN9+ynGb6NGleY9u25W3P8zivx9ta7//uerbTxuwiR6dy7j76VyKSlLo1qmMr1dkcFc1/5+ysyoYdsqGJu2e9VEW//043t2rayn3T62h+9h497H9CjnjhA08M6MdJ1/ei4FH5BOLwRsftGbZ6nRO+v5mfnlS0zbvKGivUYBZn2Tx9qeJ9aVzKff9o/rn/SdHbaLHHmUM/t5mXpmXzSvz2jDo6l4MPCSf0vIQMz9szeqNaQz74XqO79v0R2TNWpDF258luvco5b5/1tB95CZ6dCojO7OSW4at4OL7unHhnXmc2DefPdqW8+anWXy5IsxJh2xm8OHNcyrQWdEs3k4MgfbsWMp9r9bQftgmenTctn1ZnLgmY+9OyTlSa9bnWbz9f1W6Z9TQfegmeuSWcUykkPOOWc+jb7Xn5Ft7MfA7+WRlxJi7KJP537Rirz1KGHvqquZp/yKLtxMDrD1zS7nv9Rra+26iR4cyOueUM/oH67h7Zi6n3d2TAZEC1hem8s/5bUhNifGXM5Y329AzPRVu/skKRj7RndFPdmPgfvl0b1fGJ8tbMeerLDpll/OXny3fepRbKAR/PGUlF0zO49xJeQw+aDPZ4Upe+qQNqzance3JK5vleo3pqXDzj1cw8tnujH6uGwP3TXSvaMWcrxPdpy5PztF5u5CeCjcPWsHIqd0ZPa0bA/fJp3vbMj5Z2Yo5S7Lo1Lqcv/x4W/td/82lqDyF7jllLNmQwZ1vV7Mfzajg/MOaYZ9UWQ7PD4WzX4SzpsNnU2HDIuh6aHxwuHkZ/P3sbct/8S+Y9wAc+iu46DP47O9AKD54bNcLPnkK3rmz6bsTgrgf3SIo7S3vRMEtwKWXXspnn33GyJEj+fWvf83atWt58sknufbaa1m0aFGy86RvPV+jkiTtviDvR4PcLiVDkF4z73y07eieJ15oX+NyhxxYRF5iAHfIgcVMumUJdz/WkVffip+Ocu+epYwdtYoTjsqv8XM0tnc/3tb++D9qbu+3f1GLGx7Omb+t/bGXanne9y+iR+cy3vkkfhq7ZavTuaeGIWnnDmVNPjx855Nt3ZP/WUt3JN4N8IdfraLvvsVMeaUdf38th1AI+vQsYdTpa/n58ZuS8kPpIL1GAeYsqPK8/7vm5/3QfYvosUd8yH/HRcuZ8lohz77RlmffzCE1FfbrUcLYs1fz4yObZwA3p8rRg5Nfq6V77yJ6dIqvL/0PKOSZq77mnpdymR3NpLAkhZ4dyxj781Wcd1zzDZrnfFGl/c1a2nsXbTc8XJcfv4ZnlySdsnTOwirdb9XS3auIHrnx7t+dtpp+exbx+NvtePGDNpSWh+jeoZyRx6/lV8etJ7tVZZN3A8xZVKV9di3texbRo0O8/dLj19KtXRmPz2nHk++2I6dVBT88IJ+LBqyld8fm3e5/v3cRz1z4NXe/kcucRVkUlKSwR0455x6xnlH919Fxh2HgYT2Lefz8JUx4rSP/+jS+L923UynXDlrFwP2bb1/6/T2LeOa8r7l7Vi5zvs6i4IsU9mhTzrmHrmfU99fRsXXLPRX493sW8cw5X3P37ET7whT2yC7n3H7rGXXk9u1zlsT3o0s3pXPXf2vYj2aXNc/wEOJHHz50BBx7LfQ6DsKnwqalMOcOeOtGKNhhaP/iSPjmv3DYRdD3AiAGqz6GN/8E7z/UPM1VBG0/WlUQ2kOxWHBOpVGTUCgUyH/E3Llzk50gNbnDDjss2Qm7zdeoJCnZgrwfDbJYLNYCf69Z3wZBfW9b/HmyC3ZPqOX+HHKXUlvWDLJegvq8p/ZLdsHuiyX/skm7L3ln3WyYoHYDJGfe2HA+58kR1Oc9yM/5imQH7L7QuGQXfPs05L1tk13zUJIkSZIkSZIkSVKwODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlhGKxWLIbGiwUCgX/HxEgc+fOTXaCAuSwww5LdsK3jq9RSU3Fbbq+LWKxWCjZDfp28r1t84r1TnZBA+QnO2D3xVYnu2D3+Nv3yRHUVb002QENUJnsgN0U5Oe8LNkBDVCR7IDdtFeyA6Rm0pD3tn7vI0mSJEmSJEmSJAlweChJkiRJkiRJkiQpweGhJEmSJEmSJEmSJMDhoSRJkiRJkiRJkqQEh4eSJEmSJEmSJEmSAIeHkiRJkiRJkiRJkhIcHkqSJEmSJEmSJEkCHB5KkiRJkiRJkiRJSnB4KEmSJEmSJEmSJAlweChJkiRJkiRJkiQpweGhJEmSJEmSJEmSJMDhoSRJkiRJkiRJkqQEh4eSJEmSJEmSJEmSAIeHkiRJkiRJkiRJkhIcHkqSJEmSJEmSJEkCHB5KkiRJkiRJkiRJSnB4KEmSJEmSJEmSJAlweChJkiRJkiRJkiQpweGhJEmSJEmSJEmSJMDhoSRJkiRJkiRJkqQEh4eSJEmSJEmSJEmSAIeHkiRJkiRJkiRJkhIcHkqSJEmSJEmSJEkCHB5KkiRJkiRJkiRJSnB4KEmSJEmSJEmSJAlweChJkiRJkiRJkiQpweGhJEmSJEmSJEmSJMDhoSRJkiRJkiRJkqQEh4eSJEmSJEmSJEmSAIeHNRo2bBjz5s1j8+bNrFy5ksmTJ9OzZ89kZ9VJkNu3mDBhApdcckmyM+otqN0QvPYgr+dBbt8iaOvLFkHtBtuTIajdELz2IG8Xg9oe1G4IdruUDEF+zbTI9jumwKwl1T/We18Y/zi8tRg+KYB/fgQX/gbS0qpf/vD+8MjL8OEGWFAUX37opRAKNU37/VPggxra99oX7n0c3lsMXxXAzI/golraf3o2/HN2fNlPVsIj0+CQI5qme8oUWFJD947GjSMUi8Hw4dU//p3vwN//DsuXw+bN8PbbcPrpjde6G1rkel5HLbE9PGUKmXVcX9LHjaN1LEZaDetL6hln0GrWLLLWrydr7VrCL75Iyg9+0Ji522k9ZQpt69jeatw42sdiZNS0rlcVDpPz6ae0j8UgNbWBldXLnjKFdnVszxw3jtxYjHA17Sn77ENuLFbjLeNnP2vU7nZTprBHHbuzx42jayxGZg3PeUrXruTcdx97LFlCl8JCOn32GW1uvplQ27aNmbxV7pQpdKtje9tx4+gZi9F6h/YODz9Mz1hsl7fG1GnKFHrUsbvduHH0jsXIruE5b9W/P11efpk9N2xgz6Iiun/0ETmXNuF+tA5a4naxroLaHtRuaPntDg+rcdNNN/Hwww8TDoe5++67mTFjBkOGDGHu3Ln06tUr2Xm1CnL7FtOmTWP27NnJzqi3oHZD8NqDvJ4HuX2LoK0vWwS1G2xPhqB2Q/Dag7xdDGp7ULsh2O1SMgT5NdMi2y8aC6cMqf6x/Q6C5+fBST+HuW/BY/dAaQlcfRs8/M+df2B/winwxGvxAeLLU+HxeyGcCeMmwJ8fbvz2y8bC6TW0H3AQ/HsenPJzmPMWTEq0X3cbPFlN+7W3wH1PwH4HwovPwfNPwQHfhRfegp//onG7x44lNKSG7h0dcgj87nc1P37oofFh4YknwvPPw4MPQs+ehP7+d0jSL121yPW8jlpie/rYsaTVcX1JOeQQ0mtZX9Kvv55WTz9NqHt3yh95hPKnniL1e9+j1X/+Q9qwYY1UvE2rsWPJqGN76iGH0Kq2dX0HmTfdROr+++9u2q4//9ixhOvRnllLe1rfvgCUTptG4XXX7XSr+PTTRmkGaD12LJl17E475BCya+lO3WcfOr73HlnDh1M6Zw4Fd91F5fr1ZF91FR1efRXC4cbKBiBn7Fha17E9/ZBDyKmhvWjaNDZed121t+I33wSg+D//abTutmPHkl3H7oxDDqFdLc951imn0OW11wj370/B1KlsvvdeQpmZ5E6YQMeHm2A/WgctcbtYV0FtD2o3BKO9hl8h+/Y6+OCD+e1vf8ubb77JCSecQFlZGQBPPfUU06ZN44477uC0005LcmX1gtwOUFpayuTJk5kxY0ayU+olqN0QzPYgr+dBbodgri8Q3G6wPRmC2g3BbA/ydjGo7UHthmC3S8kQ5NdMi2vPCMO14+GcUTUvc9NEyMyC8wbCf1/bdv9dT8PJZ8ApZ8O0x7bdP24CVFbCkGPho7nx+269Gp59G342FJ56EObOanh7OAx/Gg9Da2m/PdF+xkB4q0r7xKfh1DPiRxk+k2g/8mi45H9h7RoYfDQs/Dx+/w1XwzOvwq33xweQSxY3vHv8eEKjaunecflHHyWUnl7zMg8+GF/u8MPho48S3TcQmz0b/vzn+BGJy5Y1rLseWtx6Xg8trj0cJmP8eNLrsb6Ea1lfQvvvT8a111I5fz5FRx4JhYUAlN10E5kffEDGX/9K+TPPQEFBo7RnjR9PuB7trXe1rleRduyxhC+7rAGBu2gZP55W9WjP3kV7amJ4WHTbbZTPaoRtYA0dOePH07oe3e120d3ukUdI6dSJ9aefTskLL2y9v+1DD5F1wQVkDR1K4QMPNLQcwmHajx9Pm3q059bSXvT88xQ9//xO96f27k2byy+nfOlS1px5ZkOKAQiFw3QYP56cOnaHwmE67eI57zAhvh9dfuyxlM6N70fXX301Xd9+mzZDh7L5wQcpaap1qBotbrtYD0FtD2o3BKfdIw93cPHFFwNw/fXXb/2fBvD888/z2muvMXjwYLp165asvFoFuX3evHlceeWVzJgxg76JbxSCIKjdENz2IK/nQW4P6voS1G6wPRmC2g3BbQ/ydjGo7UHthmC3S8kQ5NdMi2o/fjC8uiA+OHztxeqXadsewq3g7RnbDw5h28DwsKO33dexM+T1gujH2waHACXFMPXR+J8POarh7T8cDG8tiA8OX62hvV17aNUK3pyx/eAQ4NlE+xFV2n96TvzjX/+0bXAIUJAP118JrVvDhZc2rHvwYFiwgNCoUcRerKF7RzfcAJFIzcsfdRShfv3g6ae3DQ4B1q6FP/6RUGYmDB3asO56alHreT21pPbUwYPJXLCA9FGjKK/j+pJxww2EIpEal0855BAqv/6asttu2zo4BIgtWULF668TateOlO98p8Ht6YMHk7NgAeFRoyirY3vmDTeQEonUbfnsbLImTaLi/fep/OabBtZuL33wYNotWECrUaMorWN71g03kBqJ1Lp8Wt++xCorKf/ww8ZK3U548GA6LVhA61GjKK5jd5sbbiAtEqlx+fTvfY+Mo46i6OGHtxscAuTfeCOFjzxCZX5+g9szBw+m24IFtBk1iqI6tre74QbSI5E6L79Fx8mTSWnblnUjR1K5du3u5G6VOXgw3RcsIGfUKArr2NE+0V3T8qmdO5PeqxelH3+8dXAIECsuJv/R+H601VGNsB+th5a0XayvoLYHtRuC095ow8NIJNIxEomk73DfoZFI5N5IJPJSJBKZGIlEBjTW12sq/fv3p6ysjDfeeGOnx2bMmEFKSgrHHXdcEsp2LcjtM2fOpKioiPPPP58rr7wy2Tl1FtRuCG57kNfzILcHdX0JajfYngxB7Ybgtgd5uxjU9qB2Q7DbFSy+t02+FtV+5nBo3QauGQ3DB1e/zMb1cPLBMPRHOz+2T+JUgauWb7tv0wYoL4fO3Xa+pmDn7vGP61Y3vP0XwyG7DfzvaPhFDe0b1sOAg+HMatr3TbSvrNLea+/4x3eqOZpj/gfxj987dvebIX69wjZtiI0eHR8k7kr//jBmDNx8M7z7bs3LAFR3hoYt9x1//O717qYWtZ7XU0tqTxs+nFCbNpSMHk1JHdaXlP79SRszhrKbb6ayhvWl4vHHKdpzT8ofeWT7B0IhUvr0ASC2YkWD2zMS7QWjR5Nfh/a0/v0JjxlD8c03U17Tul5F1vjxpHTtSsHQocTKyxvcW1WrRHv+6NFsrmN7qzFjKNpFe1rfvlQuWgSNMGyrTtbw4aS0acPG0aNZX4fujP79aT1mDPk330xZDd2tEp+n6Omnd3qsYuFCNg4bRvETTzQsHGideM7XjR7N6jq0h/v3p82YMWy6+WZK67C+bJH1i18QPvpoCqdNq/OAtTZtEs/5mtGjWVmH7lb9+5MzZgwbb76Zkhq6KzdsIFZeTmq3nfejad3j+9GK1Y2wH62HlrRdrK+gtge1G4LT3uDhYSQSOTESiXwOrAQ2RyKRmxP3nwfMAUYCJwEXADMikcgtDf2aTSUlJYU+ffqwZMmS7Sa+WyxcuBCA/fbbr7nTdinI7QCDBg3ijjvuYODAgYSSeFHb+gpqNwSzPcjreZDbIZjrCwS3G2xPhqB2QzDbg7xdDGp7ULsh2O0KDt/btgwtrv3h8fCD3vD4ffX7e3t0hfMvg8uug5XL4In7tz1WWgJPPwSdusCtk6BbT2idHT9d6XmXwtdfwj+fbXj7/ePhsN4wqZ7tnbvCry6DK6+DFcvg0SrtJSXxj9Vdvyunbfxjz967lbvV+PHQuzfcV4fu7GyYNAk++QT+8Ieal9tyvbfE+rOdpUuJFRVBM74eWtx6Xg8trb1s/HgKe/emvI7rS3jSJGKffEJZbevLjjIySOnbl/Azz5By4IGU/e1vxBY38NS8QMn48Wzs3ZvSOrZnTZpExSefUFyH9vQf/5jw8OEUXXcdlZ980uDWHRWNH8/63r0pqWN7dqK9qJb2UMeOpHTvTuWyZWTddhvt/u//6FBURLtolMxrr4WMjAZ3F4wfz6revSmsQ3coO5u2kyZR/skn5NfSnXbwwQCUL1hA1iWX0PGjj+hSVMQeixfT5qabIDOzwd0Am8ePZ1nv3uTXsT130iTKPvmEjfVc19vdfDOxigo2XHVVA2q32TR+PEt692ZzHbs7JrrX19IdKylh80MPkdalC50mTSKtZ09C2dlkDx1KzqWXUvbllxQ82wj70TpqadvF+ghqe1C7IVjtDbrmYSQSOQJ4kfgQ8mNgD+DKSCSyAbgaWJz4OB+IAH8C/icSicyORqNTG/K1m0JOTg4pKSmsW7eu2sc3bNgAQLt27Zozq06C3A5wwAEHJDthtwS1G4LZHuT1PMjtEMz1BYLbDbYnQ1C7IZjtQd4uBrU9qN0Q7HYFg+9tW44W1z7n9fr/nTumwClD4n9eszJ+HcQ1K7dfZtzFsHYVXPw7OO0X2+5/5w245Mz4aUAb6u3daL9/CpyeaF+9Mn4dxFVV2t+bAyedCqedBXN2OPpw8M/iH7cMEXfX6/Xovv12yMuDI4+Ean4At9WW9aWG9YpNm7Yt0wxa3HpeDy2tvbIe60vG7bcTysujeFfrS1XhMK2Li7f+Z/nUqZSOHFnfzGqV16M96/bbScnLY3Md2kMdOpD14IOUz55Nya23NjSzWvVpb51o37iL9rR+/QBI79+flE6dKJ0+nVDr1qSfdBJZ119P+gknsGngQCgt3e3u0np059x+O6l5eazZRXdq4ki3thMmEB40iOKpUymdMYOMH/6Q7N/+loxjj2Xtccc1qBugpB7t7RPtq+uzrgOtf/lL0vLyKHzmGco//3zXf6EOiuvRnXv77aTl5bGsDt1rL76YilWraPe735H9i2370eI33mDVmWcSa6KjV6vT0raL9RHU9qB2Q7DaGzQ8BK4FKoHjo9HorEgkkgZMBm4ANgHHRKPRLee3+CQSibwBfApcCrS4N1jZ2dkAlGz5TbodbLm/VatWzdZUV0Ful+oqyOt5kNslqSkEebsY1PagdkOw2xUYvrdtIYLcvtWn78PSr2Dv/eGEU+Dpt2DkT+KDwS1+fCb88iLYsA5mTIf8zfD94+CIY+G6O+GKc+NHKDa3+e/Dkq/ipyz90Snwwlsw9Cfw30T75Adg5OVw/kWwcUP8qMSiwvjgcOyfoKCg+qMSm8KgQYRGjCA2bhx88EHtyybWK2pYrygpgdzcxu2rNSe463lQ21MHDSJ9xAhKx42jclfrS1U5OZTdeSdUVpJ6wgmknX46oVdeofgnP4kPnZtB2qBBhEeMoGjcOCrq0J51772E2rWjYMAAqKxs+sBapA8aRKsRIyisQ3soJ4eKaJSy//yHgksvhYqK+ANZWbSZNo2MgQPJvOoqiv74xybvDg8aRNaIEWweN47yXXUnXhPhH/2INUcdRfn778cfyMig/bPP0uqUU2j9m99QcNNNTZ0NQKtBg8geMYIN48ZRVp91HWgzZgwAm25p/pMrZA4aRJsRI1g/bhyldehufeaZ5Fx0EZXr1lE4fTqVmzeTedxxtDr2WHLvvJPV555LrKZtfiML6nYRgtse1G4IVntDT1t6FPBUNBqdBRCNRsuBq4AQMK3KmysSj68BpgOHNPDrNonixG8SZdRwGHw48Q1wfjP+5kJdBbldqqsgr+dBbpekphDk7WJQ24PaDcFuV2D43raFCHL7Vvf/Gf48Nj4wvOBkyM6BCU9COPFDoIMOhdsfgw1r4aQD4arh8McxMLgfPHYPnHwGXH1bctrv/DP8aWx8YHj2ydAmBx54Erb8AGvtGjjn5Ph1EH9zDXz4DXy+Dm68E66/EhZ/GR8mNrX27WHiRGLz5sENN+x6+S1HjtV02sNwuMmusVZ9TnDX80C2t29PxsSJVMybR1ld1peqVq+m9Ne/pnTMGIr69qXskUdIPe44MupzKsgGCLVvT+uJEymfN4/iOrSnDxlCxplnUvS731HZSEeO7a5Q+/ZkJ9qL6tBe+txzbNhvPwouumjb4BCgsDB+HxD+5S+bKnerUPv2tJ04kbJ588ivy/qSaC24665tg0OA0lI2FVjrGAAAIABJREFUJYZxmeec0xSpO0lp354OEydSOm8em+q5rmcccQQZBx1EybvvUjpvXhMVVi+lfXs6TpxIybx5bKhDd8ahh9LpsceoXLuWbw48kDXDh7NuzBiW9uvHpnvuofUZZ9DhtubbjwZyu5gQ1PagdkOw2hs6PMwC1u5w3/rExxrOBcE6oJl+Da1+Nm7cSEVFRY2HhG65f+PGjc2ZVSdBbpfqKsjreZDbJakpBHm7GNT2oHZDsNsVGL63bSGC3F6tN16Gfz8fvwbiId+P33fWCEhJgduvgTWrti1bWQl/uhw2bYAzLoBkX8f4tZfhX8/Hr4F42Pe33f/+u/D9PnDhmfFB4+UXwmG94JH7oUu3+GCxqd1zT/xIwaFDtx8y1GTLqcFqOgVYTg404zoV5PU8iO3he+4hlJtLSV3Xl5pUVFB62WXEKitJPf30xgusRVaivaAO7aGuXcm6+27K33qLkvHjm6WvNq0T7fkNfd6Byi++oHL9elL22quR6mrW9p57SMnNZUMduysT63rZu+/u9FjFl19SuX49aXvv3eid1Wl/zz2k5uaydjee86yf/hSAwqeeaoq0WuUmulfXsbvNiBGEUlJYf801VK7afj+69vLLqdiwgewLmm8/GsTt4hZBbQ9qNwSrvaHDw4XAjyORSHqV+7bsPfvX8HcGEL9eRItTVlbGwoUL6dmzJ2lpO5/Rde/Ehv7TTz9t7rRdCnK7VFdBXs+D3C5JTSHI28Wgtge1G4LdrsDwvW0LEcj2Dh3h+MFwQN/qH//6y/jH3D3iH7vvGf/4RTX/htJSWPwFZGZtW74p5XaEHw6G79TQvjjR3nGHlqIimP4MTLgZHn8ofl3E3ntDh1z4bH7TNgOhIUMIhcOE5s8nFIttu113XfzxiRMJxWLx4SLAggXxj9X9AL97d0KZmdCM61Qg1/OEILanJdaXrPnzaR2Lbb1lJNaX8MSJtI7FSEusL6GDDiJ1yBBo3XrnT7ZxI6xbR2iPZnh9AhmJ9rbz59M+Ftt6y0y0t544kfaxGBlDh5L+wx+S0qEDacccQ/vKyu2WT+3VC4D25eW0j8WapT2caG83fz65sdjWW1aiPXviRHJjMcKJ5z1l331JO+646p/3UIhQq1bxbU8Ty0x0d5o/n66x2NZbm0R3u4kT6RqLkZnoLo9G43+xpiOb09OJFTbDEdlA60R71/nz6RmLbb21TbTnTpxIz1iM1lu2jVVknnoqAIVPP90srVVlJ7rz5s+ndyy29dY+0d1p4kR6x2JkJ7rT9ozvR0ur286UllL+xRekZGWR2kyv0yBuF7cIantQuyFY7Q295uEk4Bbg9Ugk8gTQC7gIeAs4KhKJ/AW4KhqNlieuGfEn4NDE32mRXn/9dUaMGMHRRx/N6ztc0PXEE0+ksrKSWbNm1fC3kyvI7VJdBXk9D3K7JDWFIG8Xg9oe1G4IdrsCYRK+t20xAtd+QD+Y+EL8KMNhJ+38+IGJs9su/iL+cfWK+Me9IhDdYdCWmgp5vaG4CDbWdNBrIzqoHzz2Qvwow7OqaT8o0b4o0f7DwfDXiXDrdTDpvu2XPe2s+MdXX2yy3C1iiR8o72TAAEIDBhCbPh3ee2/btRC3rEfHHw+TJ2//d048Mf7xrbeapLUmgVvPqwhae2kN60vqgAGkDhhA+fTpVL733tZrIWb89reknXMOxWefTcWTT273d0I9ehDq2JHK+U0/JAcoqqE9bcAA0gcMoHT6dCree2/r9QRrWj48Zgwp7dpR9Ic/NNt1EAtraEmv0l7+3ntbrynY+rbbyDj1VDafdRalOwyw0o44glBmJmUzZjR1Nptr6M4YMIDwgAEUT59O2Xvvbb2eYOnMmWSddx7hgQMpfuKJ7f5O2oEHkpKdTck77zR1NgAba/r/P2AArQYMoDDRvuM1BUPt2pG+//6ULVxIxZIlzVC6vfU1dLcaMIDMAQMomD6d0irdFSvi+9H0SISyHV+Lqamk9e5NZVERFeuaYT+aELTtYlVBbQ9qNwSnvaHDw9uBI4CfAUcSvx7ESmAocD1wOXB+JBJZCPQG2gP/BzTPFWJ3w9/+9jdGjBjBjTfeyAknnLD1HLSnnXYaAwYMYNq0aSxdujTJldULcrtUV0Fez4PcLklNIcjbxaC2B7Ubgt2uQPC9bQsSuPbZr8GyJXDMQDjuZHjtpW2PnXUhHHU8fDwvfgOY/gT8fBhcdj3Mngnrq5wx939ugPa5MHUylJU1fftbr8HSJfCDgXDiyfDvKu2/vBD6Hw8fzovfAD56L36k5fkXwxN/ix8pCXDEUXDpVfD1V/DsY03fff31NT82YABMnw4PPbTtvrffJrZgAZx9dvyUp1tOL5ibC7//PbGiou2XbwaBW8+rCFp7WS3rS+qAAVRMn055lf//5ZMnk3bOOWRcfz1FL70EmzbFH8jKIuPBB+OfM/GxqRXX0N6K+BCubPp0Squ0V3z4YbXLZwwbBu3aUfyHPzT4FKJ1VVTL875leFhSpb3kySfJOPVUMseNo+yf/yS2eTMAoQ4daH333fHP2QynY82voTsbtg4Pi6p0Fz/7LBU33UTmL39J0SOPUDpzZvyBcJicv/4VgMJmWl821tDelvggrmj6dAqq2daFDzsMgNLZs5syr0YbauhuB2Qmhp75VboLnniCNsOG0f766ymeOZPKtdv2o+1vuIHU3FzyJzfTfjQhaNvFqoLaHtRuCE57g4aH0Wi0AjgjEokMIP4Gaw3wXDQa3RCJRC4ENgLDif9GZgnwJHB5NBrd3KDqJjR79mzuuusuLrnkEj788EOmTZtGXl4eZ555JitWrOCKK65IdmKNgtwu1VWQ1/Mgt0tSUwjydjGo7UHthmC3q+XzvW3LErj28nK4cig89CI8MB1emQpLFsF3Do0PDlcugzFnb1v+rVfh4fFw/hh4ZUF8+cJ8OLw/fPdw+GJB/NqHzdV+6VB4/EWYPB1emgpfL4LvHhofHK5YBiOrtK9YBn/9E/zPOPjPB/DvF+PDxFPPhIpyGHV2s/6wtl5GjIBXX4WZM+GJJ+IDobPOItS9O7GLLoKVK5s1J3DreRVBbq+Lin/9i7IHHiD9V78i87PPqPj73yEUIvXkk0np1Yvyp56i/M47k535/53SKVMo+dnPCP/sZ7RbsIDSqVMhHCZj8GBSunal6PbbKfvHP5KduZPY5s1sOO88OkybRoeXX6Z46lQqli2j1Uknkbb//hQ9/TTFOxzB2tKk7bMPAGWff57kkropevVVNo4fT9sxY8hbsICCqVOJ5efTqn9/wocfTumCBay9vJn2owlB3i4GtT2o3RCc9oZe8xCAaDQ6MxqN3hKNRh+KRqMbEveVRqPRS4HWQFegbTQa/UU0Gl1V6ydrAS699FIuueQSSkpK+PWvf80PfvADnnzySY466igWLVqU7LxaBbldqqsgr+dBbpekphDk7WJQ24PaDcFuVzD43rblCFz7f1+D04+Al/8ORw6AYZdBj97w8B1wSj9Y9H/bL//Hy+HSs2DhAhg8BH55MWTnwD03wk+P3P5oxKb21mtw0hHw4t/hqAEw4jLo2RseuANO6Adf7tD+5+vgsgvip1YdOgr6nwAvPgcDD4O5yTlqpU5mzYL+/ePDwzPOgOHDYfFiYqefDvfem5SkwK3nVQS5vS5KR46k5PzziX3zDWkXXEDasGHEVq6k5MILKRkyBJrpuoHfNvlnnEH+xRdTuXIl4eHDCQ8ZQsXChWweMoTC3/wm2Xk1Kn3lFdYccQTF06aRcfzxtB41ilhFBRvHjGHDkCHJztullE6dAJJyytLdte7yy1l11lmULVhA9pAh5Fx8MaGcHDbceCPLjjxyu6MRm0uQt4tBbQ9qNwSjPRT7/2BnFwqFgv+PCJC5c+cmO0EBclji1AdqPr5GJTUVt+n6tojFYqFkN+jbyfe2zSvWO9kFDZCf7IDdF1ud7ILd0yi/fa96C+qqXprsgAZonisiNr4gP+ct9HjtOmmek+A2vr2SHSA1k4a8t/V7H0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCQ4PJUmSJEmSJEmSJAEODyVJkiRJkiRJkiQlODyUJEmSJEmSJEmSBDg8lCRJkiRJkiRJkpTg8FCSJEmSJEmSJEkS4PBQkiRJkiRJkiRJUoLDQ0mSJEmSJEmSJEmAw0NJkiRJkiRJkiRJCWnJDvg2mzt3brITdsthhx2W7ARJtfA1KrV8Qf0eQJKk6nyU7IDdFFqU7AJJu5Kd7ABJtQrse1t/dibtkkceSpIkSZIkSZIkSQIcHkqSJEmSJEmSJElKcHgoSZIkSZIkSZIkCXB4KEmSJEmSJEmSJCnB4aEkSZIkSZIkSZIkwOGhJEmSJEmSJEmSpASHh5IkSZIkSZIkSZIAh4eSJEmSJEmSJEmSEhweSpIkSZIkSZIkSQIcHkqSJEmSJEmSJElKcHgoSZIkSZIkSZIkCXB4KEmSJEmSJEmSJCnB4aEkSZIkSZIkSZIkwOGhJEmSJEmSJEmSpASHh5IkSZIkSZIkSZIAh4eSJEmSJEmSJEmSEhweSpIkSZIkSZIkSQIcHkqSJEmSJEmSJElKcHgoSZIkSZIkSZIkCXB4KEmSJEmSJEmSJCnB4aEkSZIkSZIkSZIkwOGhJEmSJEmSJEmSpASHh5IkSZIkSZIkSZIAh4eSJEmSJEmSJEmSEhweSpIkSZIkSZIkSQIcHkqSJEmSJEmSJElKcHgoSZIkSZIkSZIkCXB4KEmSJEmSJEmSJCnB4aEkSZIkSZIkSZIkwOFhjYYNG8a8efPYvHkzK1euZPLkyfTs2TPZWfUyYcIELrnkkmRn1FmQn/Ogtge1G2xPhqB2g+3JENRuCHb7Fn4P0HyC2h7Ubgh2u5QMLfU102PKFPZbsqTax/Z66y0OisWqve35wgu1ft7Ujh3Zf+XKGj93c2ipz3ld2N78gtoNwW0PajfYngxB7YaW2V7be9XKykpeeeUVxo4dy7Bhw7jooou49dZb+fLLL3dadvny5Zxzzjk13ubMmdPU/5RqtcTnvK6C2h7Ubmj57Q4Pq3HTTTfx8MMPEw6Hufvuu5kxYwZDhgxh7ty59OrVK9l5dTJt2jRmz56d7Iw6C/JzHtT2oHaD7ckQ1G6wPRmC2g3Bbt/C7wGaT1Dbg9oNwW6XkqGlvmY6jR1LuyFDany81UEHUfrVV6y87rqdbhueeKLWz939/vtJ22OPxk6us5b6nNeF7c0vqN0Q3PagdoPtyRDUbmiZ7bW9V43FYkyYMIFJkyZRWVnJwIEDOeCAA/joo4+47rrr+Pzzz7dbfvHixQAceuih/PSnP93p1r179yb/9+yoJT7ndRXU9qB2Q0DaY7FY4G9ArLFuBx98cCwWi8XeeOONWHp6+tb7TzvttFgsFos9//zzjfa15s6d2+i3t99+OzZ69OhYnz59Yn369Il973vfa/Sv0ZjPd3M/57YHu9t2u21v+e1B7W7udr8HcH2xu2W3J/v9jbdv7y2or5mP6nj7OByOrbn33tgWpUuW7LTMZ/vsE4vFYrG1Dz5Y58+75fb1uefW+rl3vAV5O2V78NuD2h3k9qB22253S25vrPeqt9xyS6xPnz6x8847LzZnzpyt9z/66KOxPn36xE4++eTtlr/yyitjffr0iT322GO+t/2Wtge1u7nbG/LeJI1GEolEDgSOBXoDbYEQUAgsB+YDM6PRaEFjfb2mcvHFFwNw/fXXU1ZWtvX+559/ntdee43BgwfTrVs3li1blqzEGs2bN49HH32U1atX07dvXz744INkJ9VJkJ/zoLYHtRtsT4agdoPtyRDUbgh2u98DNL+gtge1G4LdrmDxvW3TaDN4MN0mTCCjd282vfgiOT/+cbXLterbF4Dieu7L0rp3p9uECWx6/nlyTjutwb27o6U95/Vhe/MLajcEtz2o3WB7MgS1G1pWe13fq7700ktkZ2dz4YUXkpqauvX+Aw44gMGDB1NWVkZlZSUpKfETKS5evJhQKMSee+7Z5P+GumhJz3l9BbU9qN0QnPYGn7Y0Eol0j0Qi/wA+Au4C/ge4EBgO/Bq4CZgOLI9EIn+MRCKtGvo1m1L//v0pKyvjjTfe2OmxGTNmkJKSwnHHHZeEsl2bOXMmRUVFnH/++Vx55ZXJzqmzID/nQW0PajfYngxB7QbbkyGo3RDsdr8HaH5BbQ9qNwS7XcHge9um1X74cFLatGHp6NEsHjy4xuUyE8PDog8/rNfnz3v4YWLl5SwdObJBnQ3R0p7z+rC9+QW1G4LbHtRusD0ZgtoNLau9Lu9Vly9fzvLly/nud79LVlbWTo+fc845DB06dOvgEOLDw06dOpGZmdlk7fXRkp7z+gpqe1C7ITjtDTryMBKJtAdmAHsBDwMfEP/NzNOBfYHRwGbgSODnwO+AoyKRyMnRaLSkIV+7KaSkpNCnTx+++uqr7Sa+WyxcuBCA/fbbr7nT6mTQoEFcdNFFLWajWRdBfs6D2h7UbrA9GYLaDbYnQ1C7Idjt4PcAzS2o7UHthmC3Kxh8b9v01o4fzzfnnktlfn6ty2058jCzb1+63nor4QMPJFZSQv6MGay89lpKd7jmEUDuxRfTZuBAvh4yhPKVK5ukf1da4nNeV7Y3v6B2Q3Dbg9oNtidDULuh5bXX5b3q119/DUBeXh5ffPEFzz333NZrHO63336cddZZ9OzZc+vymzZtYv369UQiER577DHmzZvHunXryM3N5eijj+bUU08lPT29af9hVbS057w+gtoe1G4IVntDjzz8X6AXcGw0Gr0wGo3eFY1GbwAOB14k/obqpWg0+ntgf+CvwHHAJQ38uk0iJyeHlJQU1q1bV+3jGzZsAKBdu3bNmVVnBxxwQKB+aAjBfs6D2h7UbrA9GYLaDbYnQ1C7Idjt4PcAzS2o7UHthmC3KzB8b9vECl5/fZeDQ4DMfv0A6HzjjZREo6y7/36K58+n3Vlnsc+775J5xBHbLZ+xzz50ueUWNj7zDBufeur/tXfncXpV9R3HP2ELQmQVLAqIovxEliKCSJBNUaCCKAoqVpGidQGtWqsWKgQRqFUQBVuXqoj7wlLEjaoEC9iKGhek/kBAlKUiooAJYEKmf5z74GQyk3kmydx7T/y8X6953cyzTL65eeae87vn3HOnJfsw+rjPh2X29tWaG+rNXmtuMHsXas0N/cs+TK06yHrddddx0kknMX/+fPbdd1+23XZbfvjDH3LiiSdy3XXXPfj6X/ziFwBkJvPmzWPnnXdmzz33ZNGiRZx33nmcdtpp4w7KTJe+7fOpqDV7rbmhruwres/D5wPnZeZ/j34wM0ci4kQggWcCX83MEeDvI2IX4Ejg9BX8u1e6WbNmAXD//eNPHB08vvbavV6dpio17/Nas9eaG8zehVpzg9m7UGtuqDt7rWre57VmrzU31J1d1bC27YEZD3kIC2+9lUW/+Q03PfvZLGyuRADY6G//lkd+8INs8YlPcO2228LixbDaamz+8Y+zeP58bnnNazpMXu8+B7N3odbcUG/2WnOD2btQa26oM/sg07x58zj44IN50Yte9OBzV155JWeffTYf+MAHeNe73sVqq63Gvffey2abbcYTnvAEXvaylz14j8T77ruPM844g6uvvpovfelLHHrooa3kr3GfD9SavdbcUFf2Fb3ycHPg9gme+79mu/2Yx79DufF879x3330ArLXWWuM+P3PmTAD+MMRsSQ2n5n1ea/Zac4PZu1BrbjB7F2rNDXVnr1XN+7zW7LXmhrqzqxrWtj0wcu+9XL/rrvx8p52WGDgEuPNDH2L+5Zczc5ttWGe33QDY5M1vZt3Zs7nlVa/igTvu6CLyg2rd52D2LtSaG+rNXmtuMHsXas0NdWYf3Mtwww035LDDDlviudmzZxMR3HbbbQ9ecbjbbrtx+umnc/TRRz84cAhlsOWoo44C4PLLL28nPHXu84Fas9eaG+rKvqKDh7cB+0fEeIsI79Ns7xnz+OOZuCjr1F133cUDDzww4SWhg8fvuuuuNmOt0mre57VmrzU3mL0LteYGs3eh1txQd/Za1bzPa81ea26oO7uqYW1bgXuvugqAtR7zGNbeYQc2nTOH33/609x9wQUdJ6t7n5u9fbXmhnqz15obzN6FWnNDndkHy5o+6lGPYo01ll4o8dGPLnO1fj3EfY0322wz1llnHW6/vb0uWo37fKDW7LXmhrqyr+jg4fmUgulTEbHx4MGI2Bk4G1gEfK15bL2IOA44ePBY3yxcuJDrr7+eLbfcctwD1dZbbw3ANddc03a0VVbN+7zW7LXmBrN3odbcYPYu1Job6s5eq5r3ea3Za80NdWdXNaxte2D1jTZindmzWWubbcZ9frV11wVg8b33st6hh7LazJlscMQR7DAyssQXwJqbb84OIyPEjTe2kr3WfQ5m70KtuaHe7LXmBrN3odbcUGf2RzziEQAsWrRo3OcfeOAB4E9Xat1222389Kc/ffAKrtEWL17MwoULJ7yqazrUuM8Has1ea26oK/uKDh6eTLn3w/OBWyLiJxFxLfBdYAvg5Mz8RfPaG0e9/m0r+PdOm8suu4yZM2eyxx57LPXcfvvtx+LFi7niiis6SLbqqnmf15q91txg9i7UmhvM3oVac0Pd2WtV8z6vNXutuaHu7KqCtW0PrLv33mx9xRU84swzl35yxgzW2WMPRhYv5t6rrmL+3Ln8es6ccb8AHrj7bn49Zw53jPezpkmN+3zA7O2rNTfUm73W3GD2LtSaG+rLvvXWW7PWWmtx3XXXjTsgeP311zNjxgy23HJLAD71qU9xyimnMG/evHFfu3DhwgcHYNpS2z4frdbsteaGerKv0OBhZt4FzAY+AtwPbAc8FrgBODozTx718i8DxwFPysw7V+TvnU4f/ehHATj11FOXuCnlIYccwj777MNFF13ELbfc0lW8VVLN+7zW7LXmBrN3odbcYPYu1Job6s5eq5r3ea3Za80NdWdX/1nb9sMfLrmERXfeyaz992fW/vsv8dymJ5zA2tttx90XXMDCX/2K+Zddxu0nnTTuF8Diu+/m9pNO4rfvfW9r+Wvc5wNmb1+tuaHe7LXmBrN3odbcUF/2tddemz333JP777+fc889l5FmFQGASy+9lBtuuIHtt9+eTTbZBIDdd98dgPPPP58FCxY8+Np77rmHj33sYwAccMABLf4L6tvno9WavdbcUE/2GaN/GVdERKwGbArcn5m/Wyk/dEgzZsxYOf+IxllnncWxxx7Ltddey4UXXsjmm2/O4Ycfzh133MHs2bO5cSUte/K9731vpfyciRxxxBFstNFGnH322Sv15+6yyy4r9edBe/t8OtSavdbcYPYu1JobzN6FWnODfYDJ2AdYUq3Za80N7WUfGRmZsVJ+kKpkbTt1P16O9+wwMsLCm2/mZ1tsscTj6z33uWz5uc/BjBncfcEF/PGXv2Td2bNZZ/fdue9nP+OGvfbigd/8Zrl+9lg7LkfuyXiM7Uat2WvNDfVmrzU3mL0LteaG/ta2E9WqCxYs4OSTT+amm25iq622YrvttuO2227jBz/4Aeuvvz5z5szh4Q9/OAAjIyOceeaZXHXVVWy44YbssssuLFq0iHnz5vH73/+eAw88kJe85CXLzGFtu6Ras9eaG+qobVfa4GGXVnaBBXDMMcfwyle+ksc97nH89re/5dJLL+WEE05YqR84TxwuqY19Pl1qzV5rbjB7F2rNDWbvQq25wT7AstgHWFqt2WvNDe1kd/BQXam1tl2Zg4cAD9l1VzY9/njWeepTWW3WLBb+6lfcfd553H7qqSy+++4V+tmjTcfgIXiM7Uqt2WvNDfVmrzU3mL0LteaGfta2y6pV77vvPi6++GKuvPJK7rjjDmbNmsVOO+3E8573PDbeeOMlXrt48WK+8Y1vMHfuXG655RZWX311ttxyS575zGcye/bsSXNY2y6t1uy15ob+17YOHnZouk8cTpfpOrhKkvTnwj6A1G8OHqortda2yzN42AfTNXgoSdKfC2tbqd9WpLZdoXseSpIkSZIkSZIkSVp1OHgoSZIkSZIkSZIkCXDwUJIkSZIkSZIkSVLDwUNJkiRJkiRJkiRJgIOHkiRJkiRJkiRJkhoOHkqSJEmSJEmSJEkCHDyUJEmSJEmSJEmS1HDwUJIkSZIkSZIkSRLg4KEkSZIkSZIkSZKkhoOHkiRJkiRJkiRJkgAHDyVJkiRJkiRJkiQ1HDyUJEmSJEmSJEmSBDh4KEmSJEmSJEmSJKnh4KEkSZIkSZIkSZIkwMFDSZIkSZIkSZIkSQ0HDyVJkiRJkiRJkiQBDh5KkiRJkiRJkiRJajh4KEmSJEmSJEmSJAlw8FCSJEmSJEmSJElSw8FDSZIkSZIkSZIkSYCDh5IkSZIkSZIkSZIaDh5KkiRJkiRJkiRJAhw8lCRJkiRJkiRJktRw8FCSJEmSJEmSJEkS4OChJEmSJEmSJEmSpIaDh5IkSZIkSZIkSZIABw8lSZIkSZIkSZIkNRw8lCRJkiRJkiSgnKtmAAAUnElEQVRJkgQ4eChJkiRJkiRJkiSp4eChJEmSJEmSJEmSJMDBQ0mSJEmSJEmSJEkNBw8lSZIkSZIkSZIkATBjZGSk6wySJEmSJEmSJEmSesArDyVJkiRJkiRJkiQBDh5KkiRJkiRJkiRJajh4KEmSJEmSJEmSJAlw8FCSJEmSJEmSJElSw8FDSZIkSZIkSZIkSYCDh5IkSZIkSZIkSZIaDh5KkiRJkiRJkiRJAhw8lCRJkiRJkiRJktRw8FCSJEmSJEmSJEkS4OChJEmSJEmSJEmSpIaDh5IkSZIkSZIkSZIABw8lSZIkSZIkSZIkNRw8lCRJkiRJkiRJkgQ4eChJkiRJkiRJkiSpsUbXAfoqIo4CXgtsAywALgGOz8ybOg02BRHxWeCpmbl511kmExGzgOOAQ4GtgD8C84D3ZOaFHUabVERsQMl+CLAlcDvwH8DJmfmbLrNNRUTsC3wT+HRm/nXXeZYlIk6h7PPxzM/MWW3mmaqIOAB4E7ArMAL8L3BGZn6h02DjiIiRIV728cx82XRnWV4RsQbwBuAoYGvKMf1K4O2Z+T9dZptMc3z5J+B5wGbAzcAXgX/JzDu7zDaeZbU7zXH+LcALgC2A/wM+SzlWLmg16NLZhmovm3/D1cDcvnzmJ9nnWwNvA54BbAr8Dvg2ZZ//qNWg45gk+zbAHOCpwMOA64GPA+/NzIVt5hxrKv2riJgDnAi8IjP/fbqzTWaSfX4FMHuCt345Mw+a1nCTmCT76sCrgJcDAdwFfA+Yk5nfbzWo1EPWtu2ytu2etW17aqptof761tq2Pda27bO2bZ+1bTdqqm0dPBxHRPwzpRG4Bng/pdP8QmD/iHhyZt7YZb5hRMRxlEbslq6zTCYiHgpcDuwI/AD4V2B9Sofigog4LjNP6zDihJrs/wVsD3yLUlg9nlKcHxoRu2VmDf8H6wEfA2Z0nWVIO1EKk5Ob7Wh/bD/O8CLidcB7KYX4JyhXgD8f+HxEvCkzT+8y3zhOmuDxGZSi5aGUz36ffYayj6+jHF82phwfnxERB2XmJV2Gm0hEbARcQTmmJPBBSif5jcBzI2K/zPxVhxGXsKx2JyJmAhcDe1NOWJ4H7A68Fdg7IvbNzPtbjDs621DtZfNv+ALwqDZyDWOSfb4jpZhaH/gKpU+zNfBc4FkR8VeZeWmLccfmmyz7FcBMygmFW4F9gHcBB0TEAZm5qL20S2Qbun8VEU8Cjp/2UEOaZJ/PAHYAbgLOGeft105ruEkMkf1zlH7jTyjH+c2Aw4BnRsQ+mfmdFuNKvWJt2y5r2+5Z27anwtoW6q9vrW1bYG3bPmvb9lnbdqO22tbBwzEiYidKcXU58PTM/GPz+OeACygdo2d3l3DZImJt4EzglV1nmYI3U4qrDwCvycwRgIg4AbgKODkivpCZP+8w40TeRimu5mTmg53QiDgWOAt4O3B0R9mm4kx61GkYwk7ADZl5YtdBpiIitgPeTeno7JuZtzePzwF+DJwaER/KzHu6S7mkzJwz3uMR8SZKYfWhzDy31VBT0Mw6fj7wXWCvQSc+Ij4EzKU0xI/tLOCyvZNSXJ0PHDEq+2zgMkrB9VfdxSuGbHdeTSmu/iUz3zLqvWcCfwccA5wxnTnHmkp7GRFbUmaS7j7duYYxZPb3U4qrIzLzM6Peux/wdeAjEfHYzFw8rWHHGDL7vwPrAM/IzG8175sBfJ7y+/wiygmq1ky1f9W8/lx60NceMvtjKcf0z0903O/CkNlfQSmuPgf89aD4jogPA5dSji29+N2V2mZt2wlr2+5Z27agxtoW6q5vrW2nn7Vt+6xtrW2nwtq2/drWex4u7Zhme9KguAJolheZCxwUEY/sIthkIuJgyhIRr6TMxKjF4ZQZdv84KK4AmlmN/wasTg86ERN4DPBryoyR0QYH/j3ajTN1zefmKOCirrMMIyIeBjwC+GHXWZbD64A1gVcOiiuA5s/HUWbEPLybaMOLiO2BUymzeN7YcZzJ7NZsPzV69l9mXg78FNg6IjbtJNkyNMsUvABYCLxqTPYrKR23AyNih44iAlNqd44B7qPMqB7teGA+LZ8UnEp7GRH/RPmsPAX46vSnW7ZhskfEZpQlUeaNLq4AMvMblP7MoyknCFszZPaNgLWBbw6KK4Cmf/DJ5ttW29bl7F+dQllipNP+2BSy79Rse9O2TiH7G4E7KW3rg7N2M3MupX/23eaYKv05srZtn7Vth6xtW7VK1LZQVX1rbTuNrG3bZ20LWNsOzdq2m9q28xHjHtoTWES5HHqsb1IuLd6XP/2S98nRlJH111BmOrY642IFvBfYIDN/P85zg07FQ1vMM7TMfP4ET23bbG9rK8vyaIqVD1OWp+n1zONRnthsO1/TfDkcBNzadO6XkJkfBT7afqTl8h5Kofj6zJzfdZhJ3NFstxr9YESsSVkmZSFl/fC+2ZRy3LtmgvvLDDpBe1GWMujKpO1ORPwFZebXtzPzD6Ofy8z5EfHfwNMjYvPMvLmFzDC19vKtwI3AsZTP/YHTnm7Zhsn+APAPTNwGddW2Tpq9ud/JjhO8v6u2dUr9q4jYC3g9cBqlT9nlSeJhsw8KrD61rcMcXx5HKWQ/k5lLHcsz883THVLqOWvb9lnbdsTatnWrSm0L9dS31rbTy9q2fda21rZTYW3bAQcPR2lGbrcBfjF6ZuYo1zfbx7eXakrOBF4yWBYiIjqOM5zM/NfxHm8u4z60+fbH7SVafhGxIfA0ymXEi4B3dJtoUv8GzKLMztyi4yzDGjQCD42Ii4EnU5YA+D5wamZ+vbNkyzBqVul/NjOnTqYUXOtTOsinNrPAey0ingXsB1xRQ17K/QfeAbwmIn5EWaJrA8qyKX8BvLur+xFMYpBp5gTPr99sH91ClmUZpt0ZdIqvH+/J5vGnU9rWtgqsqbSXLwS+kpmLm2VRujZp9mbG97vHe3MzG3lwMvl/py/muKbcT2n6AptRruSYQymuPjh9Ecc1dO4o94s6hzKj9+2UmfddGjb7oG3dKSLeBWxHOQ59EzghM3O6g45jmOx/2WyvjognUz4je1DuW3QZcFxmdnkSSuqMtW03rG07ZW3bklWltoXq6ltr2+llbds+a1tr26mwtu2gtnXZ0iWtR/kPuXOC5wezBzdoJ87UZObcvq0nv4JeTVmW4Qbgax1nmVREvIry2fki8EjKQeGb3aaaWES8mLK+9lsyc6KOTx8NZmf+fbP9GGW5hd2Br0bEMeO+q3uDJaHWA35AmeX9heZrW+CCiHhtR9mm4q3N9rROUwwpM38HzKbcY+YcykzMmyid5uMp96XpnWaG2s+Bx0TELqOfi4jVgOc0364/9r1tGrLdGbSZvWlbp9JeZubFbd87YVlWQlt/FuXE2mebz1lrljP7Zyg3En8P5ff3GZn5fys93DJMMfcZwObAkROcrG/VFLIP2tZTgaQUsVdTCturImK3id44XYbMPmhbdweuADak3FdkLvAs4DsR8ZRpCyn1m7Vtv1jbTiNr29atKrUtVFTfWttOL2vb9lnbWttOhbVtN7Wtg4dLmtVsJ5qpM3h87Ray/FmLiMOB91FmjxyZmQs7jjSM31BmfJ0LLAA+GRG9XC+/ubfJWZSbrY47O7bHFlI6yAdm5kGZ+ZbMPIyyZvu9wJkRsXWnCcc3OL7sRrmp/I6Z+drMfCmwK3A3cHpEPKqrgJNpOvpPBX6SmV/uOs8wImImZbbObEpheybld/Ru4B+Bl3YWbnKnUU76nR8Rz46I9ZplDD5JWcqA5vm+s23tiYh4L6XDfDPwho7jDGsepW29CNgEuDwi9u420vgi4q+AlwOnZOa8rvMMKyLWAW6lXAmzfWYemZlvysx9gFdRllf5RE/vGzg4vhwEnJ6Zu2fm32fms4EXA+sC5zQnpqQ/N7a/PWFtO72sbTtRfW0L9dW31ra9YNvaE9a208vathO9rG0tpJd0X7Nda4LnB5fY/2GC57USRMSrKbMxAF463hr6fZSZ52XmWzPzSMqNem+ndJh37jjaeD5CWbb4b7LcqLcazYF/q8y8ZMzjg87zGpSbcffNA6P+/NocdS+FzPwZ5YTCmsBhbQebgqObbdvLKqyIdwMvoZxQ2CUz39D8jj6BclLkYxGxa5cBJ5LlXiEnUpYE+g/KzLRrgZ0ps9ehnMzpO9vWjkXEmhFxDvA6Stt0QGbesex39UNmvrNpWw+h3F9hPeCzEfGQjqMtISI2oswK/AHlhvLVyMwFmblLZv5lZt405rkPUmY9Po5ygrBvBm3rrcDbRj+RmZ8BLqeckOpjX0yabra/PWBt2wpr2/atCrUt1FffWtt2z7a1Y9a208/atjO9rG0dPFzSXZQbVk50efkGo16nlSwiVouI0ymzBf8IHNb8clQnM38J/HPz7XOW9dq2NUvQ7A+8KTN/0XGcle27zfYxnaYY3+C4MZ/x12L/frPt48zSwdrsh1Aasy92HGcozWycl1P2/ZtHn0zIzFso67XPaF7TS5n5dsr9io6hLKlzMLADZXYptH9z7eUxWD7EtrUDEbEBcAlwJPBLYK/M/Gm3qZZPZn6NcrLhLyhLefTJvwIbU64oWdR1mJXsqmbb57b1hxNcydPrtlWaZta2HbK2bYe1bWeqrm2hvvrW2rY3rG07ZG3bGmvbbvSytl2jzb+s7zLzjxFxPfCoiFhznP+owX/ONS1HW+VFxFqUGZmHUhrjQ/o+K7NZMmIvYPXmoD/WDc120/ZSDeWFzfaDETHeDLsXN/eM+Hhmvqy9WJNr9vmOlH3+3+O8ZN1me297qYZ2PWWpojUonfqxs2LXbLZ9nW33ZMqNnS/NzF93HWZIm1KWC7lmgvXZr262vV5OJzNvYMwSTM3Nk+FP/4Y+G5xQmKiDY9s6TSJiC+DrlHvP/BB4Vmbe2m2qZYuITShLdd08wfIofW1bB1cF/GSCm59/OCI+DByVmee0lmoIEbEx8Hjgjsxxbx7f57Z1kHei2d99b1ulaWNt2x1r21ZZ23aj9toW6qtvrW37wdq2I9a2rbK27UYva1sHD5d2GWWmzh6UG1KOth+lU3RFy5lWac0Mqi8AzwZupKz3P94veN+sDnwFWBARm2bm2DXPB5cR/7zdWJM6h6U/2wBbUWbv/AQ4n9IY980s4H+AeyLiYeOcBNmr2X6XnmlO4HwH2JOSc+6Ylwwumf9Rm7mmYHazvbTTFFPzO8o9Bx4dEWuNU2Rt02x72eGMiHMpa50/JjN/P+rx1YDnU2b6zu0m3fAy89aI+DmwW0SsO3pZo4hYl9KZ/nklRXs1IuLhwLeAx1JmZz4vM2tYPueJlHtAXEK5kmCsvratJ03w+D7A3sCXKMu+9LFt3Rs4D/gacODoJ5rjzR6U/u9VS7+1c9+lFH67R8SscT7jT6Zk/3HryaR+sLZtmbVt687B2rZ1q0B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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage.io import imread\n", "from skimage.morphology import label\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "seg_img = (imread('ext-figures/aachen_label.png')\n", " [::4, ::4] == 26)[110:130:2, 370:420:3]\n", "seg_img[9, 1] = 1\n", "_, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 7), dpi=150)\n", "sns.heatmap(seg_img, annot=True, fmt=\"d\", ax=ax1,\n", " cmap='nipy_spectral', cbar=False)\n", "idx_img = seg_img * np.arange(len(seg_img.ravel())).reshape(seg_img.shape)\n", "sns.heatmap(idx_img, annot=True, fmt=\"d\", ax=ax2,\n", " cmap='nipy_spectral', cbar=False)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 Groups 62 Changes 79\n", "Iteration 1 Groups 46 Changes 74\n", "Iteration 2 Groups 32 Changes 68\n", "Iteration 3 Groups 22 Changes 59\n", "Iteration 4 Groups 14 Changes 46\n", "Iteration 5 Groups 8 Changes 31\n", "Iteration 6 Groups 5 Changes 17\n", "Iteration 7 Groups 3 Changes 6\n", "Iteration 8 Groups 2 Changes 1\n", "Done\n" ] } ], "source": [ "last_img = idx_img.copy()\n", "img_list = [last_img]\n", "for iteration in range(99):\n", " cur_img = last_img.copy()\n", " for x in range(last_img.shape[0]):\n", " for y in range(last_img.shape[1]):\n", " if last_img[x, y] > 0:\n", " i_xy = last_img[x, y]\n", " for xp in [-1, 0, 1]:\n", " if (x+xp < last_img.shape[0]) and (x+xp >= 0):\n", " for yp in [-1, 0, 1]:\n", " if (y+yp < last_img.shape[1]) and (y+yp >= 0):\n", " i_xpyp = last_img[x+xp, y+yp]\n", " if i_xpyp > 0:\n", " new_val = min(i_xy, i_xpyp, cur_img[x, y])\n", " if cur_img[x, y] != new_val:\n", " cur_img[x, y] = new_val\n", "\n", " img_list += [cur_img]\n", " if (cur_img == last_img).all():\n", " print('Done')\n", " break\n", " else:\n", " print('Iteration', iteration,\n", " 'Groups', len(np.unique(cur_img[cur_img > 0].ravel())),\n", " 'Changes', np.sum(cur_img != last_img))\n", " last_img = cur_img" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from matplotlib.animation import FuncAnimation\n", "from IPython.display import HTML\n", "fig, c_ax = plt.subplots(1, 1, figsize=(5, 5), dpi=150)\n", "\n", "\n", "def update_frame(i):\n", " plt.cla()\n", " sns.heatmap(img_list[i],\n", " annot=True,\n", " fmt=\"d\",\n", " cmap='nipy_spectral',\n", " ax=c_ax,\n", " cbar=False,\n", " vmin=img_list[0].min(),\n", " vmax=img_list[0].max())\n", " c_ax.set_title('Iteration #{}, Groups {}'.format(i+1,\n", " len(np.unique(img_list[i][img_list[i] > 0].ravel()))))\n", "\n", "\n", "# write animation frames\n", "anim_code = FuncAnimation(fig,\n", " update_frame,\n", " frames=len(img_list)-1,\n", " interval=500,\n", " repeat_delay=1000).to_html5_video()\n", "plt.close('all')\n", "HTML(anim_code)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Different Neighborhoods\n", "We can expand beyond the 3x3 neighborhood to a 5x5 for example" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 Groups 49 Changes 81\n", "Iteration 1 Groups 24 Changes 71\n", "Iteration 2 Groups 8 Changes 51\n", "Iteration 3 Groups 2 Changes 20\n", "Iteration 4 Groups 1 Changes 1\n", "Done\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_img = idx_img.copy()\n", "img_list = [last_img]\n", "for iteration in range(99):\n", " cur_img = last_img.copy()\n", " for x in range(last_img.shape[0]):\n", " for y in range(last_img.shape[1]):\n", " if last_img[x, y] > 0:\n", " i_xy = last_img[x, y]\n", " for xp in [-2, -1, 0, 1, 2]:\n", " if (x+xp < last_img.shape[0]) and (x+xp >= 0):\n", " for yp in [-2, -1, 0, 1, 2]:\n", " if (y+yp < last_img.shape[1]) and (y+yp >= 0):\n", " i_xpyp = last_img[x+xp, y+yp]\n", " if i_xpyp > 0:\n", " new_val = min(i_xy, i_xpyp, cur_img[x, y])\n", " if cur_img[x, y] != new_val:\n", " cur_img[x, y] = new_val\n", "\n", " img_list += [cur_img]\n", " if (cur_img == last_img).all():\n", " print('Done')\n", " break\n", " else:\n", " print('Iteration', iteration,\n", " 'Groups', len(np.unique(cur_img[cur_img > 0].ravel())),\n", " 'Changes', np.sum(cur_img != last_img))\n", " last_img = cur_img\n", "\n", "fig, c_ax = plt.subplots(1, 1, figsize=(5, 5), dpi=150)\n", "\n", "\n", "def update_frame(i):\n", " plt.cla()\n", " sns.heatmap(img_list[i],\n", " annot=True,\n", " fmt=\"d\",\n", " cmap='nipy_spectral',\n", " ax=c_ax,\n", " cbar=False,\n", " vmin=img_list[0].min(),\n", " vmax=img_list[0].max())\n", " c_ax.set_title('Iteration #{}, Groups {}'.format(i+1,\n", " len(np.unique(img_list[i][img_list[i] > 0].ravel()))))\n", "\n", "\n", "# write animation frames\n", "anim_code = FuncAnimation(fig,\n", " update_frame,\n", " frames=len(img_list)-1,\n", " interval=500,\n", " repeat_delay=1000).to_html5_video()\n", "plt.close('all')\n", "HTML(anim_code)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Or a smaller kernel\n", "By using a smaller kernel (in this case where $\\sqrt{x^2+y^2}<=1$, we cause the number of iterations to fill to increase and prevent the last pixel from being grouped since it is only connected diagonally\n", "\n", "| | | |\n", "|--:|--:|--:|\n", "| 0| 1| 0|\n", "| 1| 1| 1|\n", "| 0| 1| 0|\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 Groups 68 Changes 76\n", "Iteration 1 Groups 54 Changes 73\n", "Iteration 2 Groups 42 Changes 67\n", "Iteration 3 Groups 31 Changes 62\n", "Iteration 4 Groups 21 Changes 57\n", "Iteration 5 Groups 13 Changes 49\n", "Iteration 6 Groups 11 Changes 39\n", "Iteration 7 Groups 9 Changes 34\n", "Iteration 8 Groups 8 Changes 25\n", "Iteration 9 Groups 7 Changes 20\n", "Iteration 10 Groups 6 Changes 15\n", "Iteration 11 Groups 5 Changes 10\n", "Iteration 12 Groups 4 Changes 6\n", "Iteration 13 Groups 3 Changes 2\n", "Done\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_img = idx_img.copy()\n", "img_list = [last_img]\n", "for iteration in range(99):\n", " cur_img = last_img.copy()\n", " for x in range(last_img.shape[0]):\n", " for y in range(last_img.shape[1]):\n", " if last_img[x, y] > 0:\n", " i_xy = last_img[x, y]\n", " for xp in [-1, 0, 1]:\n", " if (x+xp < last_img.shape[0]) and (x+xp >= 0):\n", " for yp in [-1, 0, 1]:\n", " if np.abs(xp)+np.abs(yp) <= 1:\n", " if (y+yp < last_img.shape[1]) and (y+yp >= 0):\n", " i_xpyp = last_img[x+xp, y+yp]\n", " if i_xpyp > 0:\n", " new_val = min(\n", " i_xy, i_xpyp, cur_img[x, y])\n", " if cur_img[x, y] != new_val:\n", " cur_img[x, y] = new_val\n", "\n", " img_list += [cur_img]\n", " if (cur_img == last_img).all():\n", " print('Done')\n", " break\n", " else:\n", " print('Iteration', iteration,\n", " 'Groups', len(np.unique(cur_img[cur_img > 0].ravel())),\n", " 'Changes', np.sum(cur_img != last_img))\n", " last_img = cur_img\n", "\n", "fig, c_ax = plt.subplots(1, 1, figsize=(6, 6), dpi=100)\n", "\n", "\n", "def update_frame(i):\n", " plt.cla()\n", " sns.heatmap(img_list[i],\n", " annot=True,\n", " fmt=\"d\",\n", " cmap='nipy_spectral',\n", " ax=c_ax,\n", " cbar=False,\n", " vmin=img_list[0].min(),\n", " vmax=img_list[0].max())\n", " c_ax.set_title('Iteration #{}, Groups {}'.format(i+1,\n", " len(np.unique(img_list[i][img_list[i] > 0].ravel()))))\n", "\n", "\n", "# write animation frames\n", "anim_code = FuncAnimation(fig,\n", " update_frame,\n", " frames=len(img_list)-1,\n", " interval=500,\n", " repeat_delay=1000).to_html5_video()\n", "plt.close('all')\n", "HTML(anim_code)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Component Labeling: Beyond\n", "\n", "\n", "Now all the voxels which are connected have the same label. We can then perform simple metrics like\n", "\n", "- counting the number of voxels in each label to estimate volume.\n", "- looking at the change in volume during erosion or dilation to estimate surface area" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### What we would like to to do\n", "\n", "- Count the cells\n", "- Say something about the cells\n", "- Compare the cells in this image to another image\n", "- But where do we start?\n", "\n", "# COV: With a single object\n", "\n", "$$ I_{id}(x,y) = \n", "\\begin{cases}\n", "1, & L(x,y) = id \\\\\n", "0, & \\text{otherwise}\n", "\\end{cases}$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from IPython.display import Markdown\n", "from skimage.io import imread\n", "from skimage.morphology import label\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "seg_img = imread('ext-figures/aachen_label.png') == 26\n", "seg_img = seg_img[::4, ::4]\n", "seg_img = seg_img[110:130:2, 370:420:3]\n", "seg_img[9, 1] = 1\n", "lab_img = label(seg_img)\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "sns.heatmap(lab_img,\n", " annot=True,\n", " fmt=\"d\", ax=ax1,\n", " cmap='nipy_spectral', cbar=False)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Define a center\n", "$$ \\bar{x} = \\frac{1}{N} \\sum_{\\vec{v}\\in I_{id}} \\vec{v}\\cdot\\vec{i} $$\n", "$$ \\bar{y} = \\frac{1}{N} \\sum_{\\vec{v}\\in I_{id}} \\vec{v}\\cdot\\vec{j} $$\n", "$$ \\bar{z} = \\frac{1}{N} \\sum_{\\vec{v}\\in I_{id}} \\vec{v}\\cdot\\vec{k} $$\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x,y coordinates [(1, 6), (1, 7), (1, 8), (2, 4), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (3, 3), (3, 4), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (4, 3), (4, 4), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 1), (5, 2), (5, 3), (5, 4), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 1), (7, 2), (7, 3), (7, 4), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 2), (8, 3), (8, 4), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (9, 1), (9, 12)]\n" ] }, { "data": { "text/markdown": [ "$\\bar{x} = 5.16, \\bar{y} = 7.77 $" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_coord, y_coord = [], []\n", "for x in range(seg_img.shape[0]):\n", " for y in range(seg_img.shape[1]):\n", " if seg_img[x, y] == 1:\n", " x_coord += [x]\n", " y_coord += [y]\n", "print('x,y coordinates', list(zip(x_coord, y_coord)))\n", "Markdown('$\\\\bar{x} = %2.2f, \\\\bar{y} = %2.2f $' %\n", " (np.mean(x_coord), np.mean(y_coord)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# COM: With a single object\n", "\n", "If the gray values are kept (or other meaningful ones are used), this can be seen as a weighted center of volume or center of mass (using $I_{gy}$ to distinguish it from the labels)\n", "\n", "### Define a center\n", "$$ \\Sigma I_{gy} = \\frac{1}{N} \\sum_{\\vec{v}\\in I_{id}} I_{gy}(\\vec{v}) $$\n", "$$ \\bar{x} = \\frac{1}{\\Sigma I_{gy}} \\sum_{\\vec{v}\\in I_{id}} (\\vec{v}\\cdot\\vec{i}) I_{gy}(\\vec{v}) $$\n", "$$ \\bar{y} = \\frac{1}{\\Sigma I_{gy}} \\sum_{\\vec{v}\\in I_{id}} (\\vec{v}\\cdot\\vec{j}) I_{gy}(\\vec{v}) $$\n", "$$ \\bar{z} = \\frac{1}{\\Sigma I_{gy}} \\sum_{\\vec{v}\\in I_{id}} (\\vec{v}\\cdot\\vec{k}) I_{gy}(\\vec{v}) $$\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "format": "row", "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Segmented Image')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from IPython.display import Markdown, display\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "\n", "xx, yy = np.meshgrid(np.linspace(0, 10, 50),\n", " np.linspace(0, 10, 50))\n", "gray_img = 100*(np.abs(xx*yy-7) + np.square(yy-4))+0.25\n", "gray_img *= np.abs(xx-5) < 3\n", "gray_img *= np.abs(yy-5) < 3\n", "gray_img[gray_img > 0] += 5\n", "seg_img = (gray_img > 0).astype(int)\n", "_, (ax1, ax2) = plt.subplots(1, 2,\n", " figsize=(14, 7),\n", " dpi=150)\n", "\n", "sns.heatmap(gray_img,\n", " ax=ax1,\n", " cmap='bone_r',\n", " cbar=True)\n", "ax1.set_title('Intensity Image')\n", "\n", "sns.heatmap(seg_img,\n", " ax=ax2,\n", " cmap='bone',\n", " cbar=False)\n", "ax2.set_title('Segmented Image')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "format": "tab", "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/markdown": [ "## Center of Volume: \n", "- $\\bar{x} = 24.50$\n", "- $\\bar{y} = 24.50 $" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "## Center of Mass: \n", "- $\\bar{x}_m = 29.27$\n", "- $\\bar{y}_m = 27.90 $" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_coord, y_coord, i_val = [], [], []\n", "for x in range(seg_img.shape[0]):\n", " for y in range(seg_img.shape[1]):\n", " if seg_img[x, y] == 1:\n", " x_coord += [x]\n", " y_coord += [y]\n", " i_val += [gray_img[x, y]]\n", "\n", "x_coord = np.array(x_coord)\n", "y_coord = np.array(y_coord)\n", "i_val = np.array(i_val)\n", "cov_x = np.mean(x_coord)\n", "cov_y = np.mean(y_coord)\n", "\n", "display(Markdown(\"\"\"## Center of Volume: \n", "- $\\\\bar{x} = %2.2f$\n", "- $\\\\bar{y} = %2.2f $\"\"\" %\n", " (cov_x, cov_y)))\n", "\n", "com_x = np.sum(x_coord*i_val)/np.sum(i_val)\n", "com_y = np.sum(y_coord*i_val)/np.sum(i_val)\n", "\n", "display(Markdown(\"\"\"## Center of Mass: \n", "- $\\\\bar{x}_m = %2.2f$\n", "- $\\\\bar{y}_m = %2.2f $\"\"\" % (com_x, com_y)))\n", "\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "\n", "ax1.matshow(gray_img,\n", " cmap='bone_r')\n", "ax1.set_title('Intensity Image')\n", "ax1.plot([cov_y], [cov_x], 'ro',\n", " label='COV', markersize=20)\n", "ax1.plot([com_y], [com_x], 'bo',\n", " label='COM', markersize=20)\n", "ax1.legend()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "format": "column", "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function regionprops in module skimage.measure._regionprops:\n", "\n", "regionprops(label_image, intensity_image=None, cache=True, coordinates=None)\n", " Measure properties of labeled image regions.\n", " \n", " Parameters\n", " ----------\n", " label_image : (N, M) ndarray\n", " Labeled input image. Labels with value 0 are ignored.\n", " \n", " .. versionchanged:: 0.14.2\n", " Previously, ``label_image`` was processed by ``numpy.squeeze`` and\n", " so any number of singleton dimensions was allowed. This resulted in\n", " inconsistent handling of images with singleton dimensions. To\n", " recover the old behaviour, use\n", " ``regionprops(np.squeeze(label_image), ...)``.\n", " intensity_image : (N, M) ndarray, optional\n", " Intensity (i.e., input) image with same size as labeled image.\n", " Default is None.\n", " cache : bool, optional\n", " Determine whether to cache calculated properties. The computation is\n", " much faster for cached properties, whereas the memory consumption\n", " increases.\n", " coordinates : 'rc' or 'xy', optional\n", " Coordinate conventions for 2D images. (Only 'rc' coordinates are\n", " supported for 3D images.)\n", " \n", " Returns\n", " -------\n", " properties : list of RegionProperties\n", " Each item describes one labeled region, and can be accessed using the\n", " attributes listed below.\n", " \n", " Notes\n", " -----\n", " The following properties can be accessed as attributes or keys:\n", " \n", " **area** : int\n", " Number of pixels of region.\n", " **bbox** : tuple\n", " Bounding box ``(min_row, min_col, max_row, max_col)``.\n", " Pixels belonging to the bounding box are in the half-open interval\n", " ``[min_row; max_row)`` and ``[min_col; max_col)``.\n", " **bbox_area** : int\n", " Number of pixels of bounding box.\n", " **centroid** : array\n", " Centroid coordinate tuple ``(row, col)``.\n", " **convex_area** : int\n", " Number of pixels of convex hull image.\n", " **convex_image** : (H, J) ndarray\n", " Binary convex hull image which has the same size as bounding box.\n", " **coords** : (N, 2) ndarray\n", " Coordinate list ``(row, col)`` of the region.\n", " **eccentricity** : float\n", " Eccentricity of the ellipse that has the same second-moments as the\n", " region. The eccentricity is the ratio of the focal distance\n", " (distance between focal points) over the major axis length.\n", " The value is in the interval [0, 1).\n", " When it is 0, the ellipse becomes a circle.\n", " **equivalent_diameter** : float\n", " The diameter of a circle with the same area as the region.\n", " **euler_number** : int\n", " Euler characteristic of region. Computed as number of objects (= 1)\n", " subtracted by number of holes (8-connectivity).\n", " **extent** : float\n", " Ratio of pixels in the region to pixels in the total bounding box.\n", " Computed as ``area / (rows * cols)``\n", " **filled_area** : int\n", " Number of pixels of filled region.\n", " **filled_image** : (H, J) ndarray\n", " Binary region image with filled holes which has the same size as\n", " bounding box.\n", " **image** : (H, J) ndarray\n", " Sliced binary region image which has the same size as bounding box.\n", " **inertia_tensor** : (2, 2) ndarray\n", " Inertia tensor of the region for the rotation around its mass.\n", " **inertia_tensor_eigvals** : tuple\n", " The two eigen values of the inertia tensor in decreasing order.\n", " **intensity_image** : ndarray\n", " Image inside region bounding box.\n", " **label** : int\n", " The label in the labeled input image.\n", " **local_centroid** : array\n", " Centroid coordinate tuple ``(row, col)``, relative to region bounding\n", " box.\n", " **major_axis_length** : float\n", " The length of the major axis of the ellipse that has the same\n", " normalized second central moments as the region.\n", " **max_intensity** : float\n", " Value with the greatest intensity in the region.\n", " **mean_intensity** : float\n", " Value with the mean intensity in the region.\n", " **min_intensity** : float\n", " Value with the least intensity in the region.\n", " **minor_axis_length** : float\n", " The length of the minor axis of the ellipse that has the same\n", " normalized second central moments as the region.\n", " **moments** : (3, 3) ndarray\n", " Spatial moments up to 3rd order::\n", " \n", " m_ji = sum{ array(x, y) * x^j * y^i }\n", " \n", " where the sum is over the `x`, `y` coordinates of the region.\n", " **moments_central** : (3, 3) ndarray\n", " Central moments (translation invariant) up to 3rd order::\n", " \n", " mu_ji = sum{ array(x, y) * (x - x_c)^j * (y - y_c)^i }\n", " \n", " where the sum is over the `x`, `y` coordinates of the region,\n", " and `x_c` and `y_c` are the coordinates of the region's centroid.\n", " **moments_hu** : tuple\n", " Hu moments (translation, scale and rotation invariant).\n", " **moments_normalized** : (3, 3) ndarray\n", " Normalized moments (translation and scale invariant) up to 3rd order::\n", " \n", " nu_ji = mu_ji / m_00^[(i+j)/2 + 1]\n", " \n", " where `m_00` is the zeroth spatial moment.\n", " **orientation** : float\n", " In 'rc' coordinates, angle between the 0th axis (rows) and the major\n", " axis of the ellipse that has the same second moments as the region,\n", " ranging from `-pi/2` to `pi/2` counter-clockwise.\n", " \n", " In `xy` coordinates, as above but the angle is now measured from the\n", " \"x\" or horizontal axis.\n", " **perimeter** : float\n", " Perimeter of object which approximates the contour as a line\n", " through the centers of border pixels using a 4-connectivity.\n", " **solidity** : float\n", " Ratio of pixels in the region to pixels of the convex hull image.\n", " **weighted_centroid** : array\n", " Centroid coordinate tuple ``(row, col)`` weighted with intensity\n", " image.\n", " **weighted_local_centroid** : array\n", " Centroid coordinate tuple ``(row, col)``, relative to region bounding\n", " box, weighted with intensity image.\n", " **weighted_moments** : (3, 3) ndarray\n", " Spatial moments of intensity image up to 3rd order::\n", " \n", " wm_ji = sum{ array(x, y) * x^j * y^i }\n", " \n", " where the sum is over the `x`, `y` coordinates of the region.\n", " **weighted_moments_central** : (3, 3) ndarray\n", " Central moments (translation invariant) of intensity image up to\n", " 3rd order::\n", " \n", " wmu_ji = sum{ array(x, y) * (x - x_c)^j * (y - y_c)^i }\n", " \n", " where the sum is over the `x`, `y` coordinates of the region,\n", " and `x_c` and `y_c` are the coordinates of the region's weighted\n", " centroid.\n", " **weighted_moments_hu** : tuple\n", " Hu moments (translation, scale and rotation invariant) of intensity\n", " image.\n", " **weighted_moments_normalized** : (3, 3) ndarray\n", " Normalized moments (translation and scale invariant) of intensity\n", " image up to 3rd order::\n", " \n", " wnu_ji = wmu_ji / wm_00^[(i+j)/2 + 1]\n", " \n", " where ``wm_00`` is the zeroth spatial moment (intensity-weighted area).\n", " \n", " Each region also supports iteration, so that you can do::\n", " \n", " for prop in region:\n", " print(prop, region[prop])\n", " \n", " See Also\n", " --------\n", " label\n", " \n", " References\n", " ----------\n", " .. [1] Wilhelm Burger, Mark Burge. Principles of Digital Image Processing:\n", " Core Algorithms. Springer-Verlag, London, 2009.\n", " .. [2] B. Jähne. Digital Image Processing. Springer-Verlag,\n", " Berlin-Heidelberg, 6. edition, 2005.\n", " .. [3] T. H. Reiss. Recognizing Planar Objects Using Invariant Image\n", " Features, from Lecture notes in computer science, p. 676. Springer,\n", " Berlin, 1993.\n", " .. [4] http://en.wikipedia.org/wiki/Image_moment\n", " \n", " Examples\n", " --------\n", " >>> from skimage import data, util\n", " >>> from skimage.measure import label\n", " >>> img = util.img_as_ubyte(data.coins()) > 110\n", " >>> label_img = label(img, connectivity=img.ndim)\n", " >>> props = regionprops(label_img)\n", " >>> # centroid of first labeled object\n", " >>> props[0].centroid\n", " (22.729879860483141, 81.912285234465827)\n", " >>> # centroid of first labeled object\n", " >>> props[0]['centroid']\n", " (22.729879860483141, 81.912285234465827)\n", "\n" ] } ], "source": [ "from skimage.measure import regionprops\n", "help(regionprops)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/markdown": [ "# Region: 1" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- area 900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- bbox (10, 10, 40, 40)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- bbox_area 900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- centroid (24.5, 24.5)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- convex_area 900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- coords [[10 10]\n", " [10 11]\n", " [10 12]\n", " ...\n", " [39 37]\n", " [39 38]\n", " [39 39]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/kevinmader/miniconda3/envs/qbi2019/lib/python3.6/site-packages/skimage/measure/_regionprops.py:250: UserWarning: regionprops and image moments (including moments, normalized moments, central moments, and inertia tensor) of 2D images will change from xy coordinates to rc coordinates in version 0.16.\n", "See http://scikit-image.org/docs/0.14.x/release_notes_and_installation.html#deprecations for details on how to avoid this message.\n", " warn(XY_TO_RC_DEPRECATION_MESSAGE)\n", "/Users/kevinmader/miniconda3/envs/qbi2019/lib/python3.6/site-packages/skimage/measure/_regionprops.py:260: UserWarning: regionprops and image moments (including moments, normalized moments, central moments, and inertia tensor) of 2D images will change from xy coordinates to rc coordinates in version 0.16.\n", "See http://scikit-image.org/docs/0.14.x/release_notes_and_installation.html#deprecations for details on how to avoid this message.\n", " warn(XY_TO_RC_DEPRECATION_MESSAGE)\n" ] }, { "data": { "text/markdown": [ "- eccentricity 0.0" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- equivalent_diameter 33.851375012865375" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- euler_number 1" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- extent 1.0" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- filled_area 900" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- inertia_tensor [[74.91666667 -0. ]\n", " [-0. 74.91666667]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- inertia_tensor_eigvals [74.91666666666667, 74.91666666666667]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- label 1" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- local_centroid (14.5, 14.5)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- major_axis_length 34.62176579359676" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- max_intensity 7207.624010828822" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- mean_intensity 2223.9078740339673" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- min_intensity 41.443252811328634" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- minor_axis_length 34.62176579359676" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- moments [[9.00000000e+02 1.30500000e+04 2.56650000e+05 5.67675000e+06]\n", " [1.30500000e+04 1.89225000e+05 3.72142500e+06 8.23128750e+07]\n", " [2.56650000e+05 3.72142500e+06 7.31880250e+07 1.61881988e+09]\n", " [5.67675000e+06 8.23128750e+07 1.61881988e+09 3.58061006e+10]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- moments_central [[9.00000000e+02 0.00000000e+00 6.74250000e+04 0.00000000e+00]\n", " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n", " [6.74250000e+04 0.00000000e+00 5.05125625e+06 0.00000000e+00]\n", " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- moments_hu [0.16648148 0. 0. 0. 0. 0.\n", " 0. ]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- moments_normalized [[ nan nan 0.08324074 0. ]\n", " [ nan 0. 0. 0. ]\n", " [0.08324074 0. 0.00692902 0. ]\n", " [0. 0. 0. 0. ]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- orientation 0.7853981633974483" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- perimeter 116.0" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- solidity 1.0" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_centroid (29.27320794892042, 27.898230520694007)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_local_centroid [19.27320795 17.89823052]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_moments [[2.00151709e+06 3.58236142e+07 7.68609639e+08 1.78530188e+10]\n", " [3.85756550e+07 6.80035184e+08 1.45013817e+10 3.35724895e+11]\n", " [8.65193167e+08 1.51170525e+10 3.21307906e+11 7.42572826e+12]\n", " [2.06891148e+10 3.59489789e+11 7.62528771e+12 1.76036459e+14]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_moments_central [[ 2.00151709e+06 -5.71607462e-09 1.27430334e+08 -4.65288715e+08]\n", " [ 2.48837750e-09 -1.04007823e+07 6.01194573e+07 -1.59257732e+09]\n", " [ 1.21716546e+08 3.25386467e+07 7.68044057e+09 -2.51909553e+10]\n", " [-6.77669639e+08 -1.09981303e+09 -3.88553272e+10 2.14689356e+10]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_moments_hu [ 6.21923331e-05 2.89964486e-11 3.27840244e-14 1.77027829e-14\n", " -3.18568672e-28 -9.50196629e-20 -2.83539800e-28]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "- weighted_moments_normalized [[ nan nan 3.18093078e-05 -8.20964285e-08]\n", " [ nan -2.59625534e-06 1.06075918e-08 -1.98619837e-10]\n", " [ 3.03830254e-05 5.74118090e-09 9.57873652e-10 -2.22068562e-12]\n", " [-1.19569324e-07 -1.37164257e-10 -3.42525583e-12 1.33774491e-15]]" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skimage.measure import regionprops\n", "all_regs = regionprops(seg_img, intensity_image=gray_img)\n", "for c_reg in all_regs:\n", " display(Markdown('# Region: {}'.format(c_reg.label)))\n", " for k in dir(c_reg):\n", " if not k.startswith('_') and ('image' not in k):\n", " display(Markdown('- {} {}'.format(k, getattr(c_reg, k))))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Extents: With a single object\n", "\n", "Exents or caliper lenghts are the size of the object in a given direction. Since the coordinates of our image our $x$ and $y$ the extents are calculated in these directions\n", "\n", "Define extents as the minimum and maximum values along the projection of the shape in each direction\n", "$$ \\text{Ext}_x = \\left\\{ \\forall \\vec{v}\\in I_{id}: max(\\vec{v}\\cdot\\vec{i})-min(\\vec{v}\\cdot\\vec{i}) \\right\\} $$\n", "$$ \\text{Ext}_y = \\left\\{ \\forall \\vec{v}\\in I_{id}: max(\\vec{v}\\cdot\\vec{j})-min(\\vec{v}\\cdot\\vec{j}) \\right\\} $$\n", "$$ \\text{Ext}_z = \\left\\{ \\forall \\vec{}\\in I_{id}: max(\\vec{v}\\cdot\\vec{k})-min(\\vec{v}\\cdot\\vec{k}) \\right\\} $$\n", "\n", "- Lots of information about each object now\n", "- But, I don't think a biologist has ever asked \"How long is a cell in the $x$ direction? how about $y$?\"" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from IPython.display import Markdown\n", "from skimage.io import imread\n", "from skimage.morphology import label\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "seg_img = imread('ext-figures/aachen_label.png') == 26\n", "seg_img = seg_img[::4, ::4]\n", "seg_img = seg_img[110:130:2, 378:420:3] > 0\n", "seg_img = np.pad(seg_img, 3, mode='constant')\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "ax1.matshow(seg_img,\n", " cmap='bone_r')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X -> Min: 4 Max: 12\n", "Y -> Min: 3 Max: 15\n" ] } ], "source": [ "x_coord, y_coord = [], []\n", "for x in range(seg_img.shape[0]):\n", " for y in range(seg_img.shape[1]):\n", " if seg_img[x, y] == 1:\n", " x_coord += [x]\n", " y_coord += [y]\n", "xmin = np.min(x_coord)\n", "xmax = np.max(x_coord)\n", "ymin = np.min(y_coord)\n", "ymax = np.max(y_coord)\n", "print('X -> ', 'Min:', xmin,\n", " 'Max:', xmax)\n", "print('Y -> ', 'Min:', ymin,\n", " 'Max:', ymax)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.collections import PatchCollection\n", "from matplotlib.patches import Rectangle\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "\n", "ax1.matshow(seg_img,\n", " cmap='bone_r')\n", "\n", "xw = (xmax-xmin)\n", "yw = (ymax-ymin)\n", "\n", "c_bbox = [Rectangle(xy=(ymin, xmin),\n", " width=yw,\n", " height=xw\n", " )]\n", "c_bb_patch = PatchCollection(c_bbox,\n", " facecolor='none',\n", " edgecolor='red',\n", " linewidth=4,\n", " alpha=0.5)\n", "ax1.add_collection(c_bb_patch)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Concrete Example\n", "So how can we begin to apply the tools we have developed. We take the original car scene from before." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Labeled Image')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage.measure import regionprops, label\n", "from skimage.io import imread\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "car_img = np.clip(imread('ext-figures/aachen_img.png')\n", " [75:150]*2.0, 0, 255).astype(np.uint8)\n", "lab_img = label(imread('ext-figures/aachen_label.png')[::4, ::4] == 26)[75:150]\n", "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(20, 8))\n", "ax1.imshow(car_img)\n", "ax1.set_title('Input Image')\n", "\n", "plt.colorbar(ax2.imshow(lab_img, cmap='nipy_spectral'))\n", "ax2.set_title('Labeled Image')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Shape Analysis\n", "We can perform shape analysis on the image and calculate basic shape parameters for each object" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found 9 regions\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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APAg9QHyYk/k3YSxdFi/GSBjiIq0WNbKejFcFnSseXKXOSxYpKPRQQ+vTc56qhQj4UgWZfa8jCNRAocJfowyYc6ZCTO6Qcw1mnYM+CJfKtHNkfT3MeVlwvDgWffapNoVC2SMz7OxxVQY558Lhqxd4ChQ9KlayLLPD1xQIdnlGaxxPJwvMplKOCppafsmxH49L5KZc4EFNdmnC32LOXjtrh4qRWUMNCHnwyfESswmftwuOPDEacU/t6XrOEVgzLSq8vFvood7ro+zJWOZFR7DmmPd6JbKa7eCeHgyljvH2ptSpigbnWsqZePxU4ZZlmfXTlHEqqKM9d1nmAt/VtU7BXZV1C1evHKiqpFrh4U1j46aHsdfbQXTIB9mnK8DqdxXKXajFt5VC+t17b0J3R1S2gl1ZYn5X+PjiQAXVot3xaHvoWDbWsO4lxkVj0hZYYcqrOryibbf1wr2zVKnSt+pn5zt94oU2b1AqP1Y+wmeKQvdJH2VHkWUXRB035aORhG08Frre5PuiDorNPOcz7GfFc2JeNaZIKIugeAWAOS/yyheKPA8KP13HS1UOyzP9fm9lrdtlLZfyKwpxvq6NqZqSgH3Qi0CvXwY+0rlI2LnD+Tg6PLHDZG9vwDbL9ybio/VS9n1Bob5p2jtFxyZznjeZYN2jPCxi0PaerTo+orwygzN+rG1tTC7IOm/n9pu+H5a6cdtwo9bLkF5wVBifkrdNZl3BdVUYjy6iw02Om/KlznnrEObBRtTOQK7v3KFTZTjz9SzmGC8m85acGZOL/8NHVIYMCmOVvRp7Q3UX3XWoa8B7YLHkeZ23z13dS1nm7OKr8kDWUSjUC2Nq0Y1Oz2/lhWHdmayhMriyHt9eo74JbVfFTtYdUBfWg+4n5bH6u64jBxcpOJS3cl5NieZMvumWo30rVY6BM9nZZEzjeyo71UFBwsqHYzlTVbnnAUxP1GhW3u8PhV8teRHNKb9kRYNrz4pVap88rZorUMazOs9wfHAIAFhQri2G8rc+5b2t3V0AwP7ONiaH8uxb3xZLIFU42Vz6oEhQYMfrWAzFQqnIpNzZZGF7ckZFQK18jv0vyjwClTg25MvXntuRMWLf5tMKR4dy6V7S0inP2geH9x7dbWbUZtN8jXI/+XyfDw0oj4529uH6fbad8qGei7pmi8xQizrgQ1K+/sC6i8EIZSnl+azGWtUA7yzeq8UXNf/fnd5+++3vPv30038E4L9/+umn/1MAIwD/FYD/+d+mnLUI2/eI+X9ba+libgrZGKa5DlJC65nMZaY1npJxf/HTcgm89pws+nuv3gIAFKjhCZwPb8rfsgEFf7vQOhP8ZzP57dpuW7BomsY27ei61LW4fU/aSeF7+uZtAMBnPv8pHP2Xf1eeuStmGRkP5dbpscKj2oJJ4GHemIKiXl0G5ZtICGJVQVPEywgPZZE3VbhqH545D+ymboxx6yESQVryofXU3gTiqnNgZ5FCQMcgHNBaoLyTuaAxdXrh0WHT7ioDXjZ2wOhaMuHFqcKjMWS5ji7AQFCcVGbV4FGUiqDWrbr0YPAO8LZZWa4qOmtFOHjYzeuVS4eSIot17WzO5srA9eJOpqOX6gIOvRHXLYdNNYcNhYN+WSLrcx542FaN6rk53x5wOqhONdfUQHKeG87HfDnHgAdMk7XXR2nm2z1bp8ulrkVdd8q8FblzdoFo/ILjJeVsbok5VJ5nQVA1Iao9gCZgzBv4et7qn6HJnI9eWZoyKYgcfNYucfJ75hv0+j0+1bTKURbb65dhP3WE5f5A3lVhK88aUxbaBUrHuAp7sqd7zoQpeaPIKAD0+qCeBM88p2VTEDPkKPDKLgpnCm2WWzeNaegL8j2d+y5Tcs61lVEIF7IsOmC7FgB2abOpC8KQko6tX9Fo+3Dxhev8Da3fvY+ERjvEXfuZJlo/K5syCJwLXnRc/V4Cf3xN7bZZeUTMc9vrdvViwvUDv9LPmuiFChZ14yPFhr7dFjitjKJAj/tW96uWHC7PBbJcLi+j8ag1FF3kLm5xV4SyM8tHikhV9PJSSpkGxTIoWcqy3a5pT/axIsVFngWB3Ia9PZ+9ft/WdBdW7RFJqVVR6KJ2qWUHedGSFl5lkaHfbyM5gXh54Dv9Mli99Hrc94XKCt7e0PoHQ2UyWatOtSzIMmcHd26XZ1XChTZo2XoROT4SC5L+UOZyvDWwFldOylarl3B5DjxNL+qFzYfOZ1DkmVJV0V99XWUSnktwF1x2Oxexpg7WWz3yySxvW11o+xyCXKE8tg5wGpvbmByiFmd2qbJFq+CTN57TUY0E8t4u5oW1r61YbPUpa+9bbYOh57W3S3L3TNFys9xF6DmfVBeejryXwZnrX1AU6cWdY1+HXrmO8kLlbXvCC/+RZ/Wntlzl4cO8xi8inIFlZOG2pOwR2qntoyzSeDuMMl1DnYnQPnjXmFWTko6bKsEW8ypc/PVSToV9RYGtqoK1gF6ate217SkpY7C1hfHWLgBgdyyA2HwqljHTSvjyoD/EwS1Rts65v1TWHVCGcIWUu7mzhZ3tLfnbWJTdRwdi4fnma3TLOZmaDKmWBFtX5J0x2zs5kb2el4XNo57bp6dUznGPFhlQs+/qc3vt+esAgM+/9IyMGy/w924f4OCu9M/WrSryOWZF7qJ10V4fbQVjR7ZSWfeY1k0E64peAc/9UC1EqWHWXCo/YWDlqJynsp/TS44j73AIdyEPrK1s7Pem91QK/D+kL0OkgX8D4P8C8A0A/80HXEeiRIkSJUqUKFGiRIkSJUr0V0ofpNk2aK79H/67lmPaOBejIG3Npu+Y5TkfNOxB4aqaq8hMhRqJEVHll776IgDg9FB8AJf3DwAARb+Hcl/MFPp7YnZtmsAIElT0x8w+1XxTfVq9NwSmHIqmfsigZ6dff1k+j0SbVN45wOc+K8Fn/heaawxZToNQt0fbp6lQ8EfRWhc0nWZ+pg3uoDZAY+UYwqxmS3P1j4r9JKglV2SNYzwgKl/XjbWn6Knpr7ZHylUEddlULW27thmIzMHgV80/DTghClwFtFbfr2eRaSMQfAzhzPpAlbaKqqifT5Znpr1Xw6uF+orwWfM7rxs01PipqbnrmEfBBzMoM6syn2d5RP3Di6axRvfU0kFdx2uakzTe0JrtjjWEot9qcjzYGlhdJU3aHUQTeUKt3qJZGJqi/uWKdB4dyTMFMjPRzcvIEgEBgTa/FecxmyoyIj8pUqy+gWWvNA19cyoaxKJSc1fOnWoLXTDJbryu0bapYl7kNm65mg4bI+CaUFR5UWPeb2vmVWOt5pe9Xg9F0Z5HXcfm6zwKCEhu68u3ylMEuSiKgOQWbZRBzVZLIlGZC+Z9ui/M55s/lGWBHk3Bgn8P0SPlGXVtZvPqY9c1iW8ipDbssw5vVeuQprEGKfqj61DbmUVIiM+bVjmrbo2Bj3ZN/41nRAhh00U/bLmF3wPA0VUhq2bbHrDfnJ0Tnf7Dh//rI90T03ksl8v2Tyv2oHGTurwhRpz5Z6us84l2O+GD2Z3FkeCaUP+37GQWIc6d9rQbBodwVgX4rX2GTk+PkWUdl46Vdul/wjp2HaTNmxuSg1+20Ypgxk2Eth81tmMWbXx6QbS6zMyMUdvVEKU10+6ytLgSXastDdPhzeSzh7pZtMfL0DNalfQK9BTt1Uc6cSDKnvyn/9wVKyXvoKFh39VYKvI9kbpnc/o+G/oYLEgUTSnMlYJrwRBfHyGTiqLTSoosQ85APdvJ3wylarsheASrsp6ZiCtfse5F5sBCZozDcjYVcRv1A2JvdXRQKh9ZMdgS1TWgApDZ8tpGzdVyDG25JyuKgFjHABgi9JxljHewgvAGl8BwxpuLR8cUW3l3ARe5tXf2jFkP6dlQm5yk8opauCl4Ju5baJH6OJsvscp7ubO6zGIqGi79DOby7X1mrtPBOT3wilpR4E6BLpxxJud15lfl0xw+kvnULULXOnlH6WzO1NcZc/WhZtV6Pg0KG68w5ur6oWeWx2xCmY/lmoVN2MjW1iWtrhb8vrUv6PK2WuAUBcZbmxwvKW82k317645YtI62tzGmtVwzlb8d3D0AAJzSGkStFDNfWCyWU8YWKrR/XPNT50z2U/l1Tp7h1b88MDX06N64PRaT7iwT+e5kQouWurHOj3vSkE0i2Mrj1LLv+qdvohzK/n/tFemfo2XMZKYWMsGqtCv/xOdt1tkO9VL6sJzP+Iy6PlRwihr3pQ+NuQgGyyWto6SJd8UzOutY5zbTCRZO7n4uL+GaNVwCI/a+D33QyHOiRIkSJUqUKFGiRIkSJUr0/zn6QJHnD4TOfQQaBCyhq7m2oJv63cHUCcHHRFVOpCzDybFoQf7Br38aAMzH69bXXgVgCnsgKzC8Ib7OGsHPonfbM0EDPJvTf5RIYGYRrD0q+p9ljTw7vLwn79x9IOXfOwAAHL3yOi7/yhcBAJ/6/IsAgDe/Ke2aU3uzOJ4amjVioIHNa7vSdmqB1d8tg0dBV8yAPKvfbNAIKlpUdpBi9VFQP6vZZIqMqbiGQ9XgUvtOB7UGHnnHpyYonIM/FCCa98y1tbyx1YG2z3dVw1BNp6K5GQYj9p2OvYp8qkbXIqTmPgooo3W3x8hHsU5Mg0W0xSJCq39U1ZgW1AKXGILAd3uZdWxBTWefvs/lQJ2z5XNWOAvq5hjoQeseb4klRFUtbE7UVyo3janUPRgF33v1XaumosUbMSiGBglbzpaGuGiU7IKLfHdvi0PVmI/ZjL76/VKDUMkiO6VvTeYtbrmtLUU6NPDVYl6h7Ac/eSDMg67DEGE2QkUUJWvaQVnyMl/x6bRo2/oOg7X1ygqbm+wv98NSEXv14S/LgEx0VIwWyZUpg3zjQ7v4jEb4Lcz/PQ++OVGQLiAgRqrZjUMvW9ATDQKoQfyK3BA6i5tlKCnHHJJhAAjWAbrKY+uULmXmnOxb5RZ5jpJBjlSja/5yuudj9EXRLkP3tO4QC6Hb5gBidtsXxqRZQZUD+tMNGGZ+lh2UGi6e1vZ+NQDFe1uTFTXh85lqriPUUFGZlZZ2xzb63ulXG8X1nbd869kmQoqXjDTeMECKRfE3f83OGRl971rrzCZTZLQ0UZ9J7eaAwWcyNJHbt85RB1WK2bVznb9pH0L/9L9qzRACLWn5nTKj/6i1Ro+WJHlRhCjRyjNK3f+Mol7mq5YiHf6igX58PY+iOBMt455S5LgoCwuwaIhwR7KKY8d1AxeF7ALROtToxh00Lu9YkGRZZmtR+VVp/umsswlyUF1FljpR+XlZhgBQ1l+ePyoXRIE1i6KDPOv45fFaba/xTA8Z/qzvercapUbPdju/ARsT853U0tWvmXJP08Tjr/1tB810eRb547J9ur+gFla0fBhEmSIMCPedH4LMoEyneyY0dW2BM+1R7XfR3pzVIqwZPSfNssuQcWfnvVnqaKRls+DhvsidWdgsNcggyy8sRkCIe2EyURPOEmmDLSoLUmgxPMwHuLZC9MxrOqK4BRCk1V699GC4lpBhR2MBXBRZimRnKUdS90eWZQFxNvRcPtWKY7loLOK9yvZBBlQrjMbOYAtE2muf1znjJOzuXkbBEo6PD6VcTuL2lliv+trj+L787QGtXRdE2Pc1IDHH7OV/+nWTWZTPWTA7ItoeDXav7beGp2L/VKiz/e+ABbPSHFAe08ChW/vSh4PbhzhhNptyrBMi758cM2OHBt87XeCIdxcNhtpTtHoscsKy8rh+ZZvtWlgdADBfqM934IleeQ59vId7uxw3rvmshKO8VJ2yPRo0V1kGgKZRK422ZdxSrWi5F6q6CWdvA2z4dfQS8pwoUaJEiRIlSpQoUaJEiRJ9MPShQ57PGh8hlR5zRqmrNCXFso2gBP2fi5WAQp1Irk3t8NlnBfV95lMSQe7ey5I2yrEelKIxGT5zDTn9A0xDl7W11Q28+VyqT21voKmqAiITfCwUohDUZnBTfJ8XD6ilamqcvvoGAODm554HABwwut7izXvWFvMhJIKj0XoLRusz/1zfWNRp0wAyIqyLfGIUaepRw1kpokDNUG+g9fQNAVPEXkkV0A0EpZQCFDmV8qYaTZF152VuCLiNraIGijQ0jSGQ6KBU3tJvNXADjTSat56paRHSiiY/AAAgAElEQVRgvj8u5PRTzWHBdz3bsJgvzI/EIoOaBrWd/xBwlpnG0qDVqi1k+f0CU/r16grSXNNDIjrqg+fdBNMpI0orosByNKLzzt4Yi0o0fYcHxwCAk/uCGKl/mmrPp/OlRaLtFYq8KEJBDe94gMlJO/q0ot8lyxkO+5bLrOYOVR+gTbbPb0pfJicTZKq9N+SE/oYFU4ptj01bfEpEXH19lqYxDdG81T+6NucmnW/utyKztsNSZ6BNqsUtq5A7mxrKnIhAz6JIFyGStKGW/OzwAe+DVYUhEuqHaFGAcyw12mdHG2q+ioVGyQ1+7zV963OzagiWBto+125OQLZ6JUZEx5Vif17pU0B47bdO5FsYv4kwUAPjukxXKUTbzWma4TWdnQVpiHJ7mnWArhe2K4v4fIcPmLWKpeYLvMU2WieacsAQ37svcdRoRaemB/cBAIdvabT3gMCsrAervAO3IETHrS1MbBtSdQiIqfWTZ8zp4YG0hRp3VxSoKs2Rvmy13Y6azNmX7rkYypf5OHj9Nu7z/HG57Ku9m9KXAaMyD/oRCteldrFwLuqL+WK2/d/ggqWDodKdfMBwLlpm7YWme0BjjeR5adZjhmIqP+H6KftllGO5vQ+sueYU7SPUTOdIox9zfRd5K51b1N3u0KBxTtlQtMe5bjKNKpwbStYnz9cc6d1cyUDY/4GPqBWSBpxoQtTlvO1frryoLIuAPOva5L7VDAkWXbhpQuRiy8TRnkPno7nihyLDc6JmrT93znab73i6OyhrWNecB05Z2eu1fHPlocBzpNzIwsPq0qjFmh4sfr9twhJHMtdPS9mmsWcsdyrbhwxO4wWouGN1cPycyg45hnqOqWygKdx0MktE/LPdBz1vXeRMWnf3l1njhRgw5tus/SvaMo3xxmhoVPbV43LBNlTLxqwEutZ9IXtCmI+uBUXFzBKNWnqUEdpnGWL0F7Wg0N+js0DlMkutF9pgSD3lgJqZPxoX+tknCnrjpiDDW0RrR6Mxy5FnB/0hlpVmO5C9o5Guj4+EZx8fTiwV6Zh+x/s7Gh1bvi8WGmOhwoSyoMaiGfCdbaa/7ff6JjecHIksWNkdSdpgud1dSG12ekqLJeVBRL8XVWXWh5r6aXEsffjabTkDx/vS3ms7u9ikfNHry56+fFPuV7tbMjavfP3byHlX6JNX3JpJtPEsyo+tvGdBC8AJ4/EcMbvKNqOX18sJDo/lN617wPXy5i3xuz6ZzLHJdHZqHdm1ZAtZc2rzYfd5jt7aJfzMxhP4aSghz4kSJUqUKFGiRIkSJUqUKNH70IcOecb5mSGXTRPy62nk56A1U38VvucbBC1WQFUBwGve4drhC199AQAwpW/XjPmU1Wep3BPNSW9/O4AC5mPT9XMJ/rP1khpciz4ZtP3Bx0kjKVKrrNqjm9cAAPPX38Tk/gMAwPBQ/Bief+EmAODOWwdsZ26+NLn5HSn6Rk2ioXw90xYvSmqzso4mMW9CpHBGau1rlFONqFmqlrkMUaIZ8e7khPnriN5WTW0hNzOWZxF/zbdLo+I1Nu6rGvVofgNkIu1ge5eR1tIS1qvGUAMM+rYGtih6GIyo2dSo34zYOKCfxmBU4OSISLEi9TrmilioP2zt4VlZpXmTOR+KHlTLRaRn1Qit9Fenhk534myxxIx+jBXrLlTjT63m8ckStfqyztrIZF7qGpB357MKNS0IPKNDT6m5G21L1MeT4xNDiunSjqbSpPdEUPul7cUtavWOOv6ke4xKv7O3g/t3xJqipxG+i+BXAsi8DDYZpZJ1HNLKIs+JMkda/tozWqL6FPo2WpsVEStTy4a8Y52iUffz3MbbWW5O9lP9GIsIedYC9J0O72n5DetaUMMF+tjkZYF8qXlT20iOatyVdzhnsfWRV+pbrIis9iEL/mfa7dAI+X5hvABtV4dXuqhDcdRaBM06vG/5qsaD4DvhqJumsb+pv5zmQ1aNtiuLCMngXqnUz73NBzKEfJFNN7Rq1Leu73X3TEA0d67Da7p5wZncHABQDAVt2L12rdWHqm6wmAVf/5iaCKnTNngixZqf3PJSM6JzVXnQ4CLy2yYapflFF6eswNkzGt9D+YvyPTSZIUNOfR3rsFKk7hCLIldkmX1p2JiZRj2tbbiCf2QHSQ1zFiFN3QwECGs/+MSj/Tebl/h91/qbndtFiP4eUGX6KnLfqQVTXhQosoAsx/1V39OsCRGm1VLJIhGbH6i82yt76CnyXLT3pJ0/KkNkeRQdXtekHlb6DAz21IwLPZ6hGoE5bNHG5IrC8h7r+aMPBbQ75OvWTz0Xw9lea7iQXBE/8iWN1F2H93X8XWfuY5dnHYNRTj9GjRWh/ptRNPCwB3U96zr0xrMU+Tc/cvUP1wjbeci8YOs4ihMg3+NB1Do0YnuwaAMUwdR9pX1qr2PvY0uW2n6LHpG6O5Y2tlc6lndLV2PO2CIFOajFqbBz0Vv8GyMua50fH+V7tmf1DI3Hi+W50Fh+UjZUCzLl6U0TxfDQYrmmljpuTTQmbd7qLF6A+hz7kJ+de1CzbVjmisKZXGPlmPVRu3zfBN6t57NlyaDl3aB0qGiZqJHCi56excJPZpOFycVqAaiZAlSG88yCcvfObdyjD/Ddu2IpWhFJ1XKvv3ANN54VmR7kKw8eyB1kMj1huUSkr1zFvp15jKTNcyLjHi96gffomXLAjEHqu9xwQxe5s3XhOpYZGpn86rVdPLgvCLaypYM78n3OMd6/SSR5OIC/Iu/96guSA1pZzpJr97nnL+M+2zPaFfnw+c+I1e9br0m/62WDe42coZ/9sljcDhjT5p/+438m/f2NLwEAPnXzGfQZw2KoVoJcN/tXd6Se+Szkoec49XK1TOJ+07gryLDk+pjMKmw8AvAj/FSUkOdEiRIlSpQoUaJEiRIlSpTofejDhzyvRyiCOBPKlxU/vFWnGNVwZj5E3AOAJV1sPv/iNfRHool463e/CQDoUVuT9eRzoJHrsixEde1ExwzKOYcBo85uPy9a1XLI3LU+IEVdPxQl7enomuR+XNw7gK8FdTz85rcBAHu/+nkAwLWb8szrv/Mt8zdWn9i++dYyIp9jxG84zKl5VE1aTT8SlwWtq2oMFWlT7bT6WSjKn0dOMZVpIBkFnL4iLmvMN3dK341TRh7MnUaNVK2/w3KuuYuDTzIQrAaKIjONqaUVpBZOgbdymMMb8tKOWBwiB6uGN2iqNLru9JQ5NFULnHtrV833h/R/N714pK3uUwM5Z2TLBZHsnR1ZE+OdIU5OBC06vDdp9UXRIPUfbiogg6IoUveISO8m8wkeHh/jSP3GpozUeFW0ejMina5RRLVATU3wgmtBfYo08uD+5X3TyB0dU+vIfuZcN/1+EfxtOX+DkfTvhDkI+4xKurO9Z9EOjw8FTb6yvStjyzV2ejLB0JJUaqRrtjnTMYb1wcZYc4836vMcEKcQtVbXh2uV08DMETBjDAUDAhTxVGc05yxia0AtOnxAUYLl0lCKxqLZS12nzLk4nS1DhNGlotO6Jpnv8VjGcdDLbaHp/tWI/w10LpeYctyVjL+oIxNC9NQ5UYLZTMrbZsT1AIA4GAqiPmKKfF7gqYYOWqhjpTmPT07nuMYom4q89mkJsDVguae5RVZWH1PzeaZmmMYXmE1nFvW06/ca/BDjswMXP2MsPJTiutCpbk6PwJDUOmCseTwVwc4wog+c6/hF6jT0uK7n8zmOmGFh56qcM72+WucIstvUjfEl9f0/ojXS9mXxubO4BsslGs2Jrrm4LVI/4zecTDCnVc7e9ausi76nyuM0W0CW2dqe0Aoks2i2updCYlmLemwxBui3xj2wWMwxoh+fIz+wCNh2lkb2El2/9Gg+9b3u35ZqxaSRhOc1aq9WM4ookLey/OlsEZBntM+JJfnAhHs0Q/DVtaj2it7whxqW6jYKn9xmYiH1dWOxNXRMM/XrVwsAB8DpfmjXpUivnrtN3YT3zA+5PdYiR0n1mjHB9kOhkaXzkCFB8wn7jh93tPtzy4uryHN7D/koL7ODZh6R776DHBctGa4rc9lfgjwWhy5vPaTj6CO/aP4lijgsRbho7Sl63M7gEPOZbiR5i8lgsl3U9k5k+VY0dWUxukcsqr36qXM+ssqeLW0+u/0MM1I3QZ6TZ3VP2qK1ZzNb+zyzuF8yl1uPLbqxWq2sRM0PvvoFq857as2gee+DVWMIfx4sf4Aomryvo6wYXH+0Vst6upcas5w0a86OBZla/+VF8BXvzodZtmR5sMJhQVtER9X8x1eVodrKT9SP9uToAADwxhsSJ+Le7QeGUl/e3wUQrMmG9FUej0ZoKo0lJHLyM0Sipws5z0vGXXLeW/yi2Uzkx+mRyArHD6TuWZlhON5utUvNTEaMVXTvjvDyk6q2Pug6KTcZ22Kf/V7WOLgnCPicuZ8VmX3uRUGXn9mTc+je3QcoGUX85jPPSp/aKeExP53itddvAwCuPi9WW0evyfc3vya+z4Nnh/jKL39Z6rghcaBOHxyzHCno93/7d6W9/S184bnnAETxdPjM5U/IHWn2kxm+8a1XAQBj9uvaPu9napoBHQZv5+HxyTFKbOBj7mfw09CH7/J8Fi6bcEA3SEw38ItKQy56xNKLUPLa35QFfeO5Pdz/o7fkfZqhLWthlNvXdwEAJS/TPjI6C8GAlGEG05YtBkn6zb//ywCAkYWUV6EGkQnRhV1B0ae58M0bOP36K9KuhVyy5q+LE/zzDFbwra+/gYHyo06qm8JSSrB5mUNpDLiMhws+C6aEKkgoI7OAFB2hqM6ylWBClsieAt94a2yHuFkJuZ1WG9Sk9fD+AzM1q2kj0mh5WTgwuuNesPwe57XsFZgyVL4mZA9t0MA+eqlpMDlR81GOIz+dXjxdhowXfb3nL7heVEmgigCfOSw0CAjL0XRWpc7raISFBq3JhUFO9MI5Zf+p4RkO+3YQqtnMgCajBRnzlat9OJqhzCHtGl/eBQDcJ2Macay3r+zh3pvCpFSpMRr12U9pca9XQM2NPU28C6ZBUlPbySSDJ+OZzIS5joZ6cZXy8p6YoM+WNfqcm3sPpLxbt8REZ0CGnhWFmVE2anrFPlU0+dFlWNfAgukIlnpJ5RjNqKAp6izap1wDHQFKg4SVeYNtuhksNKUBdS6b3M/zRWWXCl1DyleM/fIgWiyWuMPDTIOnTWY0++faff7mFVNKaTmanURTht2lK0nd9DHUNF5q5s93Zwy6l+fhEqWMJL7z2c+WrquxtgJA49uX5zidjcn/Hbsk17LF5F7hd1UMqPDx4mdfxJAmpyZgsuCXPvMptsFHqZXaQpEKp5OFjOM/+oe/hdtvyCVS9WOWYqZtHdmirnwdxKfQl65bTivQkV7STuQwf/131c1HLz7OTIqDuSZfV6WjKnFqb0qWNxmEpZsyKMtyEzR1vTbkDQfcA66n41qHFZ61hQINsLdcLLGkou2YF2JLwWYpb9QFpTGBxNKxsTw1aa2qOkoF1VZm+ExTz/HZxQKeyoFsxWxbyGUws2PfWXAu+FZESoz2+WMXxaW2u8YVKjOGHKdjzl3tVam5FYJBdcrl8YExz6EHx4fGn3apLER0YdL26WU2pNLqKAcifwdPuaS2IGrkZUwxk2WZBaTLSk1TOG4Vo+duXdeB77Gd84Wa4Ss/bOxysNDUd/2c/ZXvp5O58aMpFYsWuEj5CoXMugFy5cNqPm+3mDCHetlV3tCzdbd6+e1ePFd3bCD7xQQdt/rMymuxCba27+KSG7uABn4QlG6dtR/3wcpprylzb8jDC13zWStXlSSls/PC+JSaJlsArDyUp3vIeId2SYPQ1ZGbjyrCTJPAR+qQmrOvaRB1X4ULOwDkPshqOg3BlD+0WwNyuU6dBU1vNdhqXmamUKiWbRlfTZ6bOsxfqFPb1+oKnHMh5ZoFXmvPSzVfBhdKXiKVl2mgPniPJc2eD5hi6uDugXwyiGTG4IpXrl/BgBdiPVNOp3Km9/MR69nEnGlUta0LnnEaVPaknoTx1PRrnLrL+zscR5nX0XjL3PJu35a7QjEQXnH5OpW6lOVmJzMseEHXfnsFHwjI7VzeNKXtrbfE9Lzg3F29KneQEeXaVw8PLdiZmtZnpngS6g8G5sao/Z5Phc+pef7o8hj7lwlaqhLjsvTz1/7erwAAvkR5qj/eDoq6jjJE3Wiq2QRHd+4CAA4ZqO0Wg4lduU4FwM6e9DvXZHbAZuGQe7ca5/M9aJXrJEqUKFGiRIkSJUqUKFGiRIla9OFDntecad5dXZuWKJh5qebOVLz2qgUV0SBH1I5+5nPioD47nmL6pmgkLNDFSDQnOYMnhSA+DVa1oKrhDSjYa2+8CQC4S9OEF25KXdefFQ2Hz6IQB777H9XG0Qx2fxfLK6IRyagtnzAAwRY1Tl/+6ov4vf/u9wEAezuC8qiZkZqwqnauAWyGFYkwJa1qG70PQZJUC8WxUe23y4JWVMddNdgPDkQ7ZaH0RyNMFhqgRZ7d290FwGBiAI5pGjwY9Ez7WxGJNQSMWtc6Mp4qqKYsBmqazT8gw4jmlEdHorXTJPJmKhvBcqoZHW8LyrjD0Psa0v/4aILtTdHeDamhnzC0vydqrQG7emWJSpEDag4HaupETfHJdI4ZET9FACpq8R8c0vSWaM1w5LDUFGGKWDUaHIzIlgOmJ7PWOB3ekzHdI3KaUzs4OZ1gczRi1VL39q6sJTU3fXD/wAIZaboytWZS9GYwHBjyvEN00dLOsE8zmlRf3dtBn4iTBgQ5vC3rRLW4k5NTzIlw6JhoeoMeER5NmZA5ZwDRMU2bdV5UO19ESLZv1EwwWIjIp7Rva2cXu5cZ8I4WC7o+dreZnq72Zmlmu9XMmYkY8fPZG8/jK19uI2y21deojTf9bdBuq8ZTP09oRfDyv34NR28dsg/SiFMNiKflorTgUNYubbAp2L0FmbLgU0xxtj3qt9+BC+lsVJuvfICmmZnzkSltG6XRZ1UTXV7qh9au8411VnBJa4yNpy/+bDSVSFkEJCjiXUAADzPnVvhbCBzWRbLCsxZkjH9R/nB6eorZUtbk9S9/QZ5VE2fEbeiaNCoahFY7M0QBeQwVabfB1xW8pSVqBx6qlgwAo5YpWUj11/BvwXxZLQxgZhWTw5NWnc5fPJ7yiNSxw+8721scoyhonHZFeSx/LjUwXF5gRJPCECSLr8bm2vZb+z/xjHWRSXOhYH/7I1l/n3nxM9jfljnTdazt07MgyzJbGAFJ1O/tTV81c0Op798TpOmbX39ZyjHrI48hrYMyC+Cmn7oZtbdRkrQ2EGbzGrdPn7Uzmc/2NLCj98ESTt/X1Ehcx8vKB5cYC7gon5ru5crlXQs8qu1YEgkf0IJELQrqujEUT2WPLnnvUDPApQaCjOWImGI+0A2yFUSmmFeg9ayOkY71dL7AknM90oG6wHIhs3K6+1a/6wMRrzGrg7ZcMV8sLSVp1kHCw1b3gT910C2zwuJZX/sKZa+NquqarxT193XkzqC9UdNpziH5VV03FjTOUO9Oud455GVbBkSH39vayjLjheoWYq5xZRtVj4tR3qbug2AgUCd57axfbBA/Ve52IWBthDBLpW2e4ZwP8eDU3c9M2cNaKPptF88502bWi3DSTihT3mcgra1dkaf2r4qZcEV+N58v0CeCO6TMpcG8jg6E9+5u7WObctfkWPbFvTvCVzz3qyK1VVXbHs7NSkXadHwg8sGDoxP0KBer++HlHUGIMw28SiS/GPSgEb3UAm13b6vVzv5whBdfepFjInWqvK6m4qccq92bV7HNe5MGKXZr0j7PM98VOUaU14+ZfmrKgLj5ZRmHX/7CF3FjR8bSeIO6ldKNYYd9cuverF38edvUruH33tYmvvrrXwEAzE9l7k44h67RAHoMDugL5LTSHA76cI9cChiWKFGiRIkSJUqUKFGiRIkSfVD04UOeIxI9fduZQQNz+LqtafIuCp5A5O75Z8WOXrVBd7/+KkoiaxpUa/i8IMWOGjf1mRW/sFW0Aggamcl8gt//JxJ4LFfE8zXRruz9Q0GQe1vDKFn7ewy3D0jC6BkJ6jJ9WbQz6hcw+SP6Pn/2Jt58SRzvJwxFfzIRbVmpPiOK2CEEGJrNpX2qhQrwg4vSLlFTrykkTEOnAU4irbS5G8mzB4dS/qwJ/oCH1Fgd3BMN2+Ymx7jWgDWV+YppgC4Nda+K2cb7EBiAysAJtYM99Q8aZYbAlOq4Rc2mau4sHVe/NH/oQgPcUAv35m1p75XtMfr0zb3/QDR8o4Fo6Lb35PemkTV1cjzHkD4lO8+IduyYvqtLouk5aiwYtKZgO9QPsp6IRnKHVgSj7TGmE0FpQXSgT+uI+VLKm81OzMc7Y26p4VA0gIzMb4Gm4AqMt+kfvSDCpKmcOJebowFOT7mfMg2UQQ0xtcrZZg5Qk6mOSmVPUNr9bcGnrtBqonepF3xhOZNv3RDLDNVQvvrtb+M2/fm3iH5o23dpZaEaWMDjhNrK2/dkPnJqex01iM2iNt5g2nFFBxXtZ1+WVWVrdEJ0pWS75lS4F4MBcs6roT+KyKp/Kedw0O9ha4NoPJRWLWM0MFpAu9rPDiE86Qt/Y4DJ1bZFwuc/95JUyTf6wz7KS73W+107mSx4jRqSuDznulmTuSvs7771ZlyS+tM5hJCH3bramJBYCrnoW/tpdk0wRVxEHQCZPdF+dlGGCIG/uDirJ7TbG7LxXgHI5vMFXv6GBG4cb2mgMEWXFIFyUQBE8G9tNEN/z/PMkPCSljohIJfQi5/7NDYZnLBSjbodem3fVudgEdUs3ZNaTmmMnXqJpgq8HgAyQ+zbiLPz3pA09Xvrsy1X94lmZGG8GgsERX/fNjiMZV2jLMIKa3+oFYcPVlAK8baHjYhgF5EkgkJLFkdH+FF/GBC1NY7tBlqfbWqvYEOgaSVRbAztyflY+PDzz0pQm2CF4VZigRhdlNLIjA8UbWQwP7LsosgsXSSIRCofCNYBAcK09EHmnKwp9mhRlhU2tupH/4BWUi99+UUAwN7lHZTkd5tDDVjEmrpoH7ytneC+3LGogLP1eoVBWG/fFau/owPytsgffCUYWMfKxEX/70gwFlPBYt3M5xa3xQBOe7i9juS/3YfaVgliXaM8W/3J9UkZm7oOgb2CZRLPDas7xNHp5nfLuIcW9COulnVYX2pNUukCoaVivxdSPmngN4t9oHyB1IQglpp2zqmFi/KpPAsonjpNmwVEZ303jfEcTVmlPruaIi0vApqs8ldu09zeKU3jg3+0WtosgqUDAGR5jlyDiCkvs6BRjAGgKHPj7dyytaWxBnSvZ4H/hthxWjcDfU4qFIyPsk+UVS08NX3ufCqyr+/lGGzKObG3J2terTqvqsxVlOZ3PKXMq3KUBjpUucIVGcZq8cMuHB2JjNqjheH2cIRBKXLDHi0KC8qCalUyHMg7p/M5esN22i1NZ3X1pljr7O7s4EgtRTgfA1qpadyPOR2wrz1/A3sMBNtjvKXmnOO4xvlZdxgMNf6NlDuhz/OQVmrD4disSjVAnVmIrPFsIKqcnXsru2tBZdtlvcDoKSl7cyj92rvC9qgVEpvpm2ChkOcAgfOfihLynChRokSJEiVKlChRokSJEr0PfeiQ57Ozs4DU+ibSNrZ9TlYREG++SWNqQa7cEDTowbclwnYzmVhy8cENsbHvE/EzPzJVlCO4XAR1N7UgVFuM+gN89isSNv3ea6JVffaaIMchZVVjUQktyqmW2tGG+tqjHIumZE5Nf3NXEDv1kc0OpvjNv/tVAMDpgwfSX2qYMqKuR9QQ9fMSTdZOE9Es1KdG2nRyuoTTVDI99aug1tK0hvJZ5zkcO7/FVDfHpzKe+4xWWIx7qIiyPv8M/b6pbiwZVfj2bRkrv1gCQ1oCUFvufFufk3sPAtWmoVf/jyXh7/p0ZikC+vTPsojhlfpzy9fReIBjRrqdLaWc/YFo/v7Olz8NQNIMjMeCojZs8+Gp+KWcHhzI70QJ79x5gJMD6c8xfQoz+lBMqFncHpUYEXU/nIj2rTfclXG8LvUcMwXByANXb4jW8vVXJEp2cUvWwJIoxNHxKZqp9I/LDNtEiEZEbWcTWhr4BjW1qL2BjIVqKMdMfXV1UOIu/flOj6g9ps/JybGiBA5XGPZ/T/1aiVSMnpLfCwSURmdRPX2v/ZykMnjjT14FANy8eh0vPiNWH4f0hVGLAN3IajUx6A+xzQn84ueZtku1q4yaOHxqjAFThU3f5Txo2g/VZqp/rgNyolJLvlOfy/fBmqK5MW7b7pWiDap5z9Cghlp7aPRUpcChVlJddUh97XIM0L/EsbxEpvZEG0kQ/9kO6hiVJN8b5B2cplzTOVrFjLv4cPeJJno2YNRt/hzad5FmttsHZ6WHVrZReedXx8oQMDKmHO10Phe2/kKIXDXW7ZYa2uWcWercu30gf1TeqL1wFx2i3TZrDITgd6txAzQNnUUif6lAvy9zVJolBdrtjBCpEOWYP2nqpgjFLVw7Erf1VstZ0989QgRtXUPtlE6IfHZtba3z0Fxvj0R5yUe+mF3EDvY/i7Z9CR0KqNd7GRT0Hm+X6M/q917HREXcWisJUeuZbqBVD8Cfya/qxzh67nkAIcsFXEDsQuR1/UHjMMRWHe09E/yrNQpviLZto65CRyf9HpoQmyWky+pgs74xuWnJmAdf+Cwt7nSt5aVl3YgjUgMX7ON4vygkpuGAY19vjazMs/mZG1Ln/i772YSI/Y1ZH4Q2S5+C7LUS60B97RWV5zqazhYWX2Wo6TttSAJiHrIz8Lypda46fs0+oFNd32dNY+Z9hSERNkVFzZIiSmEXfKU75XGfDbhXG+9w8uCE/WJfKHPt8Pwejvpm2TUiwlZ0rASUZ4tcRVSb8U2OjkQWOaA/blOHMVY0OvCKdrlAiH+RF8qzKaNq1O0iD1Ytmp3At6zaQjEAACAASURBVPuvPLxe1tD1mndYjlnOZA0soZq1R89ktkENNmqHxtYif2ui+QTPH31f4wRZNo/wrsbz2b0mskapae24xm6+IHJuv+zZWje+DB2jcLEw/r4rv92aiZxnEfQpN/bKEgtaxqkloEbAH+0SUd3bs41/Suu8hlZ5d9+i5efkEAAwHg1wdE+eWXJwNb3ohKmwjo9L3GGkak3zpBmEGiLtb9yW+1SNBjnT2ak1oq0XQ6AzjJh5ZXZf1tu3viFxonZekhRdLcOiyApKyuXvLK5Zc8A5H15v/y0EbfFRVHY1+2ojzhZvIgtruijLfys4OSHPiRIlSpQoUaJEiRIlSpQo0fvQhw55xlljaqkYkzBtqGqELvJTo8/upz9DxJN+n5M3RFNSlAWynCjwkJEoJ6edckI9Gk03ROfjE6pRzTK8RC30p66JH3KPvtOWU88HpSwsj3CruHbkQP5xRC3XCVHknLngDl+7hReImr/4S1+SpkIj+lID+9ekj8eYYfLnolXcZjRq1YYuGAnztdduoZrI/9U/2GUd/xk2tN/v4YVnBJ31HxFt0q3TfyZ/46PD7U0cQbRlV/ZEQ7rNz6UTjZjmea42Jzimv/ZirvmE6cNG7WheFGionezRt8N8uvsynpev7JqPb80o2wNGmx7vMYIzfd1PTk/ND29+SsTTyzM7bGdW9jCjNnvzSdESXvu4zG/OzymYAxMeW2OZ81dfEY3amPmObzAp/HhzYAns79E/5g9+72VpJ/2QL+9LPZevX8Ebd8TnuaTP2ovPi4/d1hXRBP7W73wDb/y+rOn9a7Sk2JH3bzwrFgvVKaPID0Y4OSHanREp3pG1cDzT6JML9OjX0ivlb9OFvKOa7c1eiRs3RFO4+fgugOAva75Phr7GSBcRcvokbtHS4+4fvYVn/5aspeGerPE3Xvkjjpcg7z365RRliTFzKT57VfZ2vk4tPx4HgNa/g8cUXV2L/oVpKmN6kp/nGiXyvR81ZWqXGuSGDqwizjF1ULKuH1nkd+nR5nN15x159uLy2uW0W9P1F27X3EYJL0bn2u93cyMHdD0uu404tz2nXbtm+jb5jvNRDHYpMuRivgm0Q0p0EOsLAOzVP3b5MkJ0XEUZV6Iyu8hapvN+8H0M7VTNuuYD3aZPm7d3MovnYT/mijZyljQwhM8NAdcxLh6TffEz9NX9EQ6weEd9EPN2e3TNn8UnbeQ/DgBrbcsAqan728UWFc25t/fdyhoN79oa6m6wte4qi9/Sv7S/u3UYMrFSU9SX8Ld2CavxCIAwJvTBJJrh+FnmGdyGIsX0e11vt9httHdEXJfW1rMYBvHfLo4X0B7PLlJ8ke2IPi/l7f2c8Njpj+W8nE7nUf5uRd3aVmuG2rpoplf/I+96H1BP/Y1R39UKK+yXsHEbH/OGiLyPfMUDGg3ESLFQ3TSr0Zg7/tIxkh0yjygS7eOfEUf6Dq8oUilr4kpdGZOyUTd02fCugJR2LCqnjJNy965YgA3HQ4x3RI7QnMMlZUr1Gc16A2wyq4XFfViZB0XTgYoy0vGJyIQLoqx7lHtOjifINeqyRlF/j/mFc4aCNo18qlxmGU7gzB9al3GfcoYOTkXrQZ/lcPRn1gwd6u+fFWpZ5IzHh/PgPfav8+Gc6URlN+uGPLO81jXbodG2tYLBsLQy1acbHJs5kecp+fV4PDCeb3uwg2zDAQ35xkx9nnkWDGg9OKes3+sPseAzuuZ3aS2ocX8m/YlZjJwyxtCcmRfGeyJrffaZzwMAdkZD3HlTZNS3bsk6c/SzfvO116WdVYWMEdA1Yv1gKOvDjaTdn9Xczi5Dn+slW2vLMu6ca+AMyAuZ8/2rcqcpFiLnbW0xMnm/1KDaYc9YnJW6PZ6RHZLFzVjXPcVHYii76Iy/kc6Ht7nOXQHvz9HgDD8NJeQ5UaJEiRIlSpQoUaJEiRIleh/60CHPZ/7cNJZN3RjS3NX4Gdpg2iTg5nXRkAy2ROt+h+ieabIcsKTG5ugbL9tvUgDLjxSVqs3LyshAPno2cxFowToWhpRHPhhaZhT7NibLW4bgM2U5ZhlNdEltI1yOO18jQve0oIw9jFlOW/uYoTYEPO9EsStr0Z699MJzGFJ7OaTmS/uteecsP+B6jh59fSf0b1HNaU3/4a3hJq7uit/3+Alp1xTiZ3H6F/TJoHqpPxzh+ET6tbcpWrJrN+QdT1WUq2qMGf3zrXuCyGqOwF/9O1+Udm/18eBItKnTmcxvblEX5dkhI65Xyxmm1DIe3BJfkOs3r3JomeMYQL0QhPiQEa5zjtGUEZuP7kuk6OMHR6YNfObaLgDgay/fYXlS95UvfhojausUaf+Nr4rVQLEl754ywmE5GGCyeAMAMGNE7e1dQbALItzFYIRtlvcr/+A/AQBsEmH//W9+Tb7T//jm82ND1DdL+eyty9j2nuDaevcEV3vikwxqIscfEZR5cc6ok6czLGkNMHmc0RiJMGuUaP3uWliCrI+Ka/zKE9KX5bNLfOP/kD14/TlZx5u7zLc9lXqmC/qBD/oYjBmR0tAMRmmnBcDRo6Vpo0v6z483Po6LKN592k4FOpUdnKOr074YS5bfm+jZ90aXAx7f1tKGz/D7xd7WaOlfXQd17CLPwle6qGD7nbhcZyjXanvid9u/tVsYY4WhjouRyRgzM2zREOdIMwxhW6t5XolA22C5FX4eJXNdae9KHzqRjKXqNmIVI7D6jLcw0/qhmvCAgmg7LRo2G62Ito+LsGa0z77MnJ8jRzD+lOWydz6Kdkjpj+CT8I//GQCgfsSH19tIr1uPBu2RzjkrXW/PoY/WwEoEXnT6j8YQiIAih7fD04pyhxLiT996q4vAdslh1XKi7b8ZW2R0EWhDXfXnswbdfaBjYP6RWYZs/WKEuNuj9m98h/EWYNYv3Z0c86LOHmj9e/E+w3kT/G9tTbXXrMvzMCpdi4luu72P8nS3kd14TfhOLu1Oo6MtWV9gSaBoMMIvwZGXH22+F89qdx67Y9N4H1BBq0MtDLrrbzU3t361DAx5EaFbrMOMUxRW8+gMu8X3UN6bM7dzr19i//J+qw5FTAsi0c7l5lvbtQDqVtR4j/mM/q5EoHv0zx0NGZV5OEDBOCYmL3Z4+JKRohfVEp4yoLWL5Wk06vnpzPo+GNGqwgRblfFpYdhrojqFckOg1b/cm1ydUya3rCXms0zZtwf0CrVwkGc024auXbkXsF8al6jXzs7iihzb9C8eMp7OKSNUj5mvua/XgqYxh+326KG1brT+kjLlmGNyePhA2rnUKOMTy2TQ64ucOGZe5j5Rf+8djph/eUlrUq+++0T9Z8wnPTs8sEjfRSZ/m0/5ju75RWUxkA5uSbnH90UWvnxN5LTnboisWLrcrAJs5Z+312EDIKPVzZj3sj5990tFrV1AnINFhu6LLk9zcHqWmKWS8it9tkHLVA3R8HcmxDmHQuMXZBnOMv9TI88fusuzPw8DljkXgmB0mEL3+PONx/5VWViLY7kULW5JmpGCixR5ZsElTLw3k2qaXbLCer4IB4IeImRUFojAw0ycXaGh1jkpGvRoWYeFqakGLCgDF56G22+CXKQh9POelqsXE49TmvXe/t9fAwA887c/x660F3IGb8G1tL8a4KckY9nc3kL/SQb7sstPJ+iRmkUgZtIM+kFT9AZyudkd76G/Lhv9CLLpXvuOzMOEpkkzBogab2/ZeF+/KZe1clvKuXtPnhmMSjzDVBcDZfK8OG4yqNdwrYfBz+4CAN7siTnz0esS9GC0KwzulTelDdN7J5jMZK6/8rnPAAjmJK/TpCWDw5hm7odMVfXGLbnQFoW078Z1uXB/7nOfs/D6I17gX/i0MJff+y1JY3b/3gPM+Mz1fXlv92PSpzkPIA3Ytbj/AF956VPSZgbJ+oOvvyLlb8taeOMPXsVXvvplGROmLOgx0t3zV6XuySnTbz24g3oia/GlZ2UfDD4qYzXmpXf6GNB7jIFVINRwfodMaZRtjjBmsKmaF9ZbP6Qyo5DfdZ0PH9vGEFoeTcNZrgox15+6Cr8v5ZweqVKFgSUWMuZFHsz7dN3GlzMgXEjv3n8N1YH8/7N/S8yU1PT63N5ZJf1Nn1X5/Tyqq7HP81Zf9OlVET8WOMP/VgN7tX/XciWkUHwBbl+aQxlN9G8c0Cseq3ZwsyBUtgVPF719cTm6//X/79Xf+N3upeOiK8vq1atNq5eRlQtFnLqp+9pFkw4APr6grFwPwr8uPH9hMXGVrv258o4L6gITzjTQih5vLsyEChR6Z7bLTBxUkXUUa7oKVvMxNRZQrdKGyEcUKAwQwcfzdU/5QS+/rvUszwcLwNUpR5u25iW1SFTnRbMbLuTdNRl2YPfSvEqhbjPnOw/tQKeerpJrpTRtt/crj3Qvno0H3CP5f8ZAi6osuGhldV0nfHRp7vZntd8XjyOAFdW8UxeI+Gm7H3OMNJDT0pvwYePfvSC3BFm9eLYvla0URN30Ux3BVffA8WSKGU1Ntxi8U58pNHqUD5dxdJRVVmpkEh3Exg4Xjy/jKzzMt5obUyivM3fWxZg7anlN+xmE/e86cuyI7ht9BoxF5pCzlhDoSr6XNIP1kTl5e25insZzMgOGIyl7wUvkQoOdcS30ev0ggFqQw875Q7n0+PgYx0zPWmssO6Is1ZJBrlyDoqcBpeS9GcGrUk2xdXqrBrz7RWn2KIvrhTgLg6kpqTTlpHkY2q01N3NoDeqmyi7tTFMtzZS9x2dLXtgrBt0qigLVTBr2gACWKjw1Td5OfycUq3PVCXSVmSuqszVpaQoZkOvyFZEN5zMZ1+OjYzi6q+Vc83fv3Gc58n25mFsQrDFT6ZXq5hMi7do4liORaz938znWJbLXrbfusv89FHz/GuVtveOUPcp/HMeyV4Z1cd52W7N+r8PWsa6FkmlgR5RdyyJfcWV1XEvNigbPizsQgBXtnipk4AOPUEVCZ//bUnAhGHPjHVCt4aIz9CJ6vxMpUaJEiRIlSpQoUaJEiRIl+v89feiQZ+YQsK+uY/pjRmMdc26XOdy+K4jV85+WgFrXfvPX5ZlGtV8eGYMQhNQDGvKempPlzP5u5g8hL4R8pznEctlYmH6FwA7uSRuaEyln6/I2iqGGem+nQrAAFWqW4xs41pURyQ4jQa1KDbiM5rNzMceoqHsqLYRTpAF1anpNsyBFaXI1ZWvgH7E9FtSk+6nIWIY5pF8PfkDTZIbSX9DkednUyNZFU3fnz8W0+d6bggbvbImGrmJS+KODE6hlzf2jAwDAyZuidXMc+90XP4VTmmJvM73T1Z+RAFpLzscSSwuc0zDw2IgmNQNqslVbe+fwNm5cl/Ux3heEfE5NqZpZFWhwS9Npca6+9NmXpN8M4HZIM+sH9x9gStOXlz71IoBgLTDaFc3a17/+Bn51R0xesm1ZC7d+KP0ds3032aZ6NseAof17b8kYv/ItsTDYPpU+FVke0m3NOfcMfPHMzwuC735e5n2CCe7/qbR5upR3Dv5cvl8ei6ZzuDE2ZFdJU2dYuqg1x9RCQEaT8BtPSeqRGppyRNHg3AKNZbZ2FDHhOkSJ/U/K+w/+VNbJ7ljKPaK2+2Qi7fRNZdpny0e3ruXKePa3rmA2OWHZMn6WLQFtugigVIrfOe88c/eRtHNQy5x98vFPsP9B/x/MynWs/jK8G2zvCpaKrilibLakVHfe66LTsrvbAXh0/LulxRgGot+A2ALaWX+aYLJzYbk+KnG15fGz/H8HxbwIWwvoT1uLbIG5Iryl6dTaNTGOe9uJKRR+j0e9Y0Idl25l1+0xtqCRitT6KIVGB32zIGhYRbDs9DGEh886h4aNn77zAABwn2kCG6/adI+tobjE9HodiyItnyizb2BpBQ0912BMWTR+ZgLMR9bbSK8FGTsLZ5wiVla7zXMWBQrjex0ku93mTus1OFiELlt8pvxidFkCpPG39fZ8uLPu2PsgJVWKJLY/gSakRFEobT16HwDOFZFuRbVjP9sIsYvbs+p/gDZF37WODu9oInNhM0k2GUTfcBcEButWFRb/Krdok6SfavN8A465Fo4O5Qx98/YDc1Gqucife07O+D268jg01tUQdEv3jDUrqr3NGwMiHq0k63ubn3SGAW0cV/dQmHspw9um8R1G4jrz0W0rECxQ8iy0s7PNAu+9oC+hn90aWL4L/DinaXapJtNxWjQbFB9/WJ9Kym5Xrl5DU0sKzYMZ5VDKUXl0ragU3eY4aRBQRXy1cxkcfNZev5Zuz7qSGbJckLdaWjD9vcxY7xKzqcojnT1t6HCGTZoS62/zeXtM5pM5Zk76pWlQ1Xr1lC54fSKy+7uFuTjmnfSAts9c4D1e4Wl1DyXC2x+IXLqYL3H7jvB1RWszuhw+oEXk9vUdXNkX2bGkpZ4jqj+mefTmcJP1ObMAGDL9Vr0l1ggZ3z09PUJJ982rO1fZF2nvMdOfVnRlnFZzQ6V13HtMw6Xn+PwnU8yY4ur+fWnzkuM3mzMI8vGRWcIMBvL+JteZrXTl5ZFFtVqi2F7ncC7mMxsf7xjAWe+PmtYu2h5O734eKNYuYX/jE/hpKCHPiRIlSpQoUaJEiRIlSpQo0fvQhw55Pj/3poVvK4zaGsSuZjHLgNcZfv2Q6YA2tzb5N2qBMqCmL4MivM6cJRR+EC1JUQR7ftUiqXZw/4Zo8rdGI4t/0DB9yFFftHFHb4k27sqzl/HMp26yHPq36UvU2KsNv/eNoQuaVkQ11RboAg7NQ/ocXJLfCihKrWhcG/2S/7dDGGRuVW8S417x+/p9hlPc/6EgspMHggpm9EmaEJE9OX6AaiSas8sDGf/xlySw1ynR+Nt3XwEAbGYNQL/eewwG1svpl7spGudJAxzfl3n94gsvtfpSsF2nmOCV74i/sqvktxF9p9/8Nv2tDxn4q9czjfpbt6TO+wzxf0w02TUOBw8ExXz2BUGM93e3OTrUbM7kndOjOQ7vyv+vbEmd33pdNJXHtw+kvMLh7rcFRb55QwJm9ZlSBkRth0yJddp4vEn/kwf3ROtYEFU+pFVDvfC4cXVX3mOQDrDf/gmdK6L/372Pq0T8i8fph0ykp1iLkSi17FAkRtcdfe9bf1MNccm/UeMZlWSWABesRSUNPjdgwLXplHPEfbY5kDHPUGL0cWpI+W5NH5ucPtn//pO/APx78rcf412287HWO5eiurshIfS7tvIcq0HEFvR5euP1AwDAV/6DTSs/9LOtcb44iE13jMPT8m8YrcCgV30ds/dk36FEbU3Xr3cVpQ5t7abQCe80CKulHVxsBe1q9cdf+AyiZ9BJFbaaAssHdbF+0DrFlTqOLuLjbX+oLuaT9535yxmgRvSwoXa/aVrYs/x7gb9lQ6atARd7RAlOjuboPmz9uYD/AsCyqcxqw4Jidh3C9Pxwgatn9MM7ZSDD11+VoJJf/NKvoEc/vsyCdrWRTh+hpLqmFMk1KEXPjTXAb/B99fPVVnSCDGRAiOGh/dd5sVxwwYahWetaa4Q4HytIog7GWsev9yzaM4Zud313G3gXrZmozb6DHnpESFXHT1WDcDWL2tCe2tDoth++BrnxZyH9GVZ8nVl+xJwaC+bW4R3nqzJS+K8i41p5sD/Rc0J9Ci3lko/e0xG0l9rrz0X+vb7dvLA3nQ/l6fjZ3gwBoABgfrrEktZbJ0S3QOQZNtY+pCnqILAhSBY//OpYrKSqahrrUEByV+e+/Z9w9tk+blUd+bUixKton7ArRbbaF8it8JqL0PPA4Dowdacm752lIt1ikFLzidX2Nt7WRWiW8qC21cp8tsBirj7AWkwHSXUeFdvcpzWeBTgjz1RZuPIeTaVWOO3xUoA2z0JqKd173vyHHZ/hPnSN3SPqaF1Ie1Wed5hOpqxLIXD9mw2AWRQpWj6n5amm2bp3W2T+aj5Dr98OwtYn0l4yzWqWZavrqjOvOVO6jbd3UNAfWoO76f1FA3Vt7uxia1vku0w3I8d0RB/3UV9T4EV2LLQwqnlvGW+JvL27u21rvCzUZ1zk9mohdav1pc96ZsG6SRlu39GqgYHXTo+Ocf+ujPEb35Jx0qDKFFFx686xoeT9kpYAnbM9xGFoS1QAglzAttTeodeXvs+OZY2+znPx8jPCV4qZzOUbd+7iOlPB9pY1Nn5Kf2epP1GiRIkSJUqUKFGiRIkSJUr0l9KHDnluHjUhiTlgqlvX0S6aJ59G36trZNQ0nTIK4AF9oNWfuaoqHB4wkThR0Mx8O0wtZeVaFFdqUTYzQRZ+/e9LpOP8mcK0WOrfZhH0Mo1wB9POqDorX2OIdh1+RZfXAf+Y9pevrHj0OOBSG0EIGNCq36FpJNFG2BtD3gNqHpBmIfVlnTySyNdv3L2Db7/8KgDg6t4uAKCitmtEJeb+aBf5E4LI3Xsk43//gSC81UTq3NkVTZnzFe7fFZR1QL+Rkn4lx4w4eGU5xrMvSlTs7JJotY5xjJhe++5t3HtDkOclo3be+h8F6c0zauw0lGPlcHz/QNo8om8xEaOaPm1bm33kjNx+RMT6H/8PvyXPEq2ql6oRB3JqBV95RXy7e/RX36S2dek9Xn1dEPCr1/YAADd/UaIdvv496f89Rgcf9HsWOfLas88AAF4++JaMF//Qyxx29omEU1Pcp3ZR0dyDR4LWT+9OMdgXtDuHaAfzNfVnFop9RdVfya8giwGFXkWB9O/U/sIjoIxtxDTs7IDRXntc0P2DxwXtP/zuA44FLRh+9m/iI522/Cn+GABQs01P4mP2t2PI+9X3pQ+XP/bXAQTk+RGABR4CAD7CXy/YZTgnHLWm/aSP2G//E5nLFz8l47r15CYaaBT/qlWOkkcc65d+N9Hf4to9PBr1ATa+1/ZRhPcBobO/kedEoJTyNd3vTQfhUC1/3Xizeum2R6OpetcYYmCaf0OD69ZnXTWRlVDTKS+8q35t1r4m8E0AmDM92uH9Q+O1TcdfMz4jbB47YK2OUaYodeZQLbz9HwgRWwvmHlkufPCfVUTGPgI6UlfqM+X5vp4hM1atPp8uRHzlsxnPhCUjfn7zmy+joOVFoWhK52zRdQhkhoYUJdPYmaZeOvPWrddx6w3GGSg1sjfbXmg8iHgcdSx1TFyrvCzLDG5ThDJzAcmRYgJfUKsv9TkLR6H6oPkQTlwjQHt9RqOEO0PE9Iw39L2zc+XcZl0qK9RaHoy6PvC2TlZSYDaGjq0YNVgORx+OV+3fWtjtcX1ufTVFWugB/7Ke2W8h7WQb1fTqO73uze+7MSS7g0I2QMYz3jKF6Fhn4SGbP5vHDrai84KwBlajT9tDQNMpp1OeWmqMxyPcpVWPRj3u9YtW/71DtPc6zbogEEFnu4bPKJ1UEzU17stKRpdoiYZy2nV776Jo+21UOubZds5yTZlfbwedjk/fbh/a7dbx6TZQP8IP3TWufq61+YF6ON1erj3KVSVy0Jx+qg/uH1hcBZVv1ZJA5aiYHytqCfW31ojVTLnUVI0hvCG6ONtSBJ6tvL8olB9xTNjuuglzWM21M62uBKASPtwntC6OfLUMZ4OtGTISlVtqjpGim7k7QVnS6vDwAAAwok/xNq3/0DRouJg26d+rSHMYce75PMfmWOQ8nY6DI5F9c5X3yr6tRVsz1l7df/w984ZOqyxXsu5yqOnPnMWsCMW1+d/m1r78XjW4fyoy/s7urlTRGdB+f4SdXdnntyEZa3S96B3s6OgYL3zmRQAS3Rz4v9l7wyDLjus87JuenrsXF48PD4/D4XA0Go+Gy93VarVawxCMQCwEoWhaoRVGkWRFZavkWFZcLtulpGRVSuWklJTscrmclMt2IkeSGUUlKyqHYWhaYSQFYSiKhbAYBILh1dZmF1qtxqPhaDgcDB4fHu6+vXu3Jz/O+U737bcgAVccw6p7WMTbee/evt19u093n++c7+ABfAv66WCpFcO9zBvM5lBhrOlTJ+Nrou9jT/fqXhnUdz/3HHyQsTn0Ho9Uj+APXXwP3oy8pcPz+fPnvwXAfwXgj0CYYp4F8KM3b948Pn/+/B8F8PcAfBOALwP46zdv3vzv3kr5vfTSSy+99NJLL7300ksvvfTydpQ3fXg+f/78QwB+FcA/APAnALwDwC8A+O/Pnz//gwB+BcBPAPgZAE8D+OT58+d/6+bNm8+/pRoFJNbMGKehZMmJNbRrzSxKjyJLcE40jta3JjRmRW6U5dj53MQB+96exDxnytxmTH8+WhtJBrc1UyvUjWv6g8f0CWGtW3v3MK158q+w8E1ujU5rGX9Lkb5FKeBj/rtISy51j6Zii73On00UslgRa9CljbM4992CyJZj+W7iBW09uKbs2wVwosEMN65pHmCNZS0HYkV7+sn3AwDq2bElmr91SyxqswOxAn3fdwu6f+F925hA+vTkNUHA58qY/uL1XQDAx3/hF7ClsSV8V/WRWEUZI7OqcT7z0Nj7G2tcxIe/9xm9RsbE4eGRWTYnM7XnTeXZ164Jqrl3JFazyf6+WUjntVrz9N7ty2KhWz+7jVs3pK4f+/jHAQC3J/L3RJG1UgfSwdExZmrdPdF82IQSLafheoXnFWkfbWjcsVoHH3tc0OqmYk69BvVMY1beoeiFxtR5jTtsAEM6o4GP5ky1xAZYvlgz82aMo7Qcu9AkFvmuNd9y8bURgSW8tzeR9h7els9S44RaOGx+vYydk9cFnd7fFWT94FBQ+UGxbnGHVzWW/YrmztzblFj2+ljGZfAtSh3b41Wx/s7b7vxom9YYvp2X+t24JlbWjS15D5/81K8AAIarJaaav5L5IWdTfZaikk0LzDO01uylTReJFtRGr2H/t92cjaFt7Jo2Q3jTGM25elxMNcaHsVNKjo95E/ELojyGDBN9JOoXPN4oLtq+ZzeG1uI/LW4uy7nq4UwR5XkYDSnmmKuGprsjSk3EhPnAfYIcdp9d6HOI5s4mKQOxonLaxWUlxYllsQAAIABJREFU11QDQMliwfDAPHY3IBgifHx4op8yFshbEdcYl0wDe7iUr+/1c7/8OTz/afFsGGtOzmIo144vyjry/R/5PgDAxtoAH/yzzwAADl4XT52/+iM/DgA4/ILU5YkPN/gb/+VPAgC+Tr1S/rff/hgA4JO/8FkAwC89K5/bfmD1ie++U0047xaQ5tjnfM8RGjPUligy2fZ9soYS+XfdT4p33sYJH2nvIVu0igQ9N8TeWFm1bc4b+mH4dYa2puzgRPW9eqUxSrvQSVRVhcVaFm9Qjg0B76N3mrWwi6A452I7s3bbuGO/Jqhoy3hSejV04mB1zrBe+oroqTWZzGwMltpOn7cl9TGyd9/5iJ5yLqkr9VNWHvWWL6Oeo9cGWbePVa/KpV0dvcCWbXV4QMVUzGMGwQaPofrZNirNWx4yKIxjqk2uzfemzqk3kovtJ8o7V1Z8Y9nOE6WE+I4MKTYPiNiG/JoUCQdiHGxICnQMIl7ot2B1p4fMVDOd7O7Kmso8zaH1hvIaEzfjl9UbphpXaBWFrmd8v3LtVBmY6cE3b8ICA7xlF2Au6DYYwl7onOQ7ZHaWNB7e3meW3r6hog9F5BYyj6cu3wRaF/USzwFDneuKtNe6h5scTzHzU+0D9Zjal/3KwYZ8DqvS9ElxVvMdjwttH6uZjl19BrmatLrrQ9nbhGaGo2PlzVGOocJyo2dr6pK3P0J3ltg/YgYBRE6m/Kyl5XtXWM5reum2Sntuusd7yz7DfNZ5nPp4MLTYbtPR2fi1ensHd79TnURs82HIuulPZe+e6/lsQz1cLj9+GUfKzD0JAe8arwEX83IfLG8Fed4C8M8A/OTNmzfvA3jl/PnzPwPgHwL4HgCv3Lx586f02s+cP3/+fwDwlwC8tcNzL7300ksvvfTSSy+99NJLL728zeRNH55v3rx5E8C/nX39vQB+E+Kq/VvZb9cB/Lm3WqFTpFZfh1KRh9U1ZYxTq0diAwWg1ulIxwggje+LFhhDLRh7xi7IWbxbFy3pZKbUco+nYtUfnxyjIrpNi+LnBYkdqsWj+cI17G8KahY+1DVtumLQeXbbRuulV3MZ0b5O/GBubWSBLWPvpG0n9QzTI0V9jUVQmarNiukszsBXXeSezzxWRDDMG6wOyHqs9VQr3v5MLGu//NnPYKwo75A5q8diJWv0nqNdQeWHVYmZMhZOlPXwwiWJI50q2vyJX/9l7Glc9OUrmsNYUYPPK/I3bj0qzS83PZS6GmqoHgtsU1lElLDwGr9zW5FJhZcmx8cICjkdKguo03aShRtqVR4OKkP1Jhq3daJ9TiRgtHuCuVr4D46kfp/6mCCm22clFqbRYdhMa7NOHx0wb7EiHWrBm89m+PSzwqbrmM9V6/6pT34KQGRKHA4rfO7Tn9VrurGZhlC20dprbLFZPtoWPlolbX7p/MjGXZswIiKJQdIK6/et3T/VuCfoWCjI8qiI9Ormx7CquQoneu1tZXtvZ1LG2riwvImNPutzBC0VSaxbMn4CvtD5qghxNFoyQDI2NAS5b7AmsdmtEyvmr3xSvUvqQ2OdX4gltA+XWZQTXZPpLdeBQLrm1Yh0RPSnMFhK65Dkt523+l2psbGK7Aw1pjCa55NYzEy/GEt40idvVL/YpjgHQ/7uzcyNBclzpLYatzWtG9T2avheumgDnIuIQRfYtWfO59GyvuDFZB4k8lmUQFlyDdD6zLL4qgh0RpTR0FYz5y88M2ZP6KIto7Ux3v8R8cyZT6TBo7Ho3L//sV8CALxv5SHksv6wrDFPvf8pAMDHXhI98CN/+cfxdXhn59o//r4/LZ9/TT7/gx/7pwCAH37/d2Hnspjdg+qTkKNpaUE2zLpeBzZvkkvnysw7V7TGKyN561Ivhmy8pMVnDMgGKs3ofRB5OxbYyR9Q38hETf3EP6nv+LyQeM1Q/3XHS4rWWKYQPPBSKd91ByeRSXKgBJeinpluWEhK7pBdksQxc5541FovxtgXFdEuRTHnzcL+IT6hy7Tchuhp50siT110yiU5eVlB8sJw/raqa89evmy/7aq32s/rmt+dow9+Z+aRRWQ7GQNxDrJ6EQXmHiZXAwueFC5EdvaESVq+KJJ7c+S5+55DCNi5tA0AeOYZ4Ty5dU1YgD/73G0AQMntaFLaoiSrQHZRomk6bfOdMZWg0YhDqWnaJO+8zP+DA9kbTTKkvKkb1LPumkL0sNLqFUURUUrdTzV6D/c4hmZ6h6axjYW2QOeF6tOijD6Ws2nT+Y3dYJQSyV7aOBo4Xhgv7Rxa8lWgK/TCcHCW436icbLcVNaqe2rdQ0xPahTKOTHUPiFySk+D8XgVG1uiz8nEHadyd/z4ZMgzP3Y1uKDXKII/mSSZ4Lt61EX3Ffn7NJlPS90xwGwDzrk4Lk67/UZhGQGt6Sxv2Quy9TsEzI6VZ0qZ9L32zXhN81nXMzRErn3XEwCZB5lrQzLN+LLzM1wLXlTq2Y0Za9hHc91HnkxOEo8/DyxZGoivKf9ChGHnz59fAvDXAPw7EBft/wjA69llNYAB3qLcvxcSV882VtFVneucuSREAhYeBoyCwdxKWvvsEFAAlrIqujPA/rbUT5wAjXT4pz4uB5/wS8/iB3/owwCANbpn6oHH62D3g4ATdYs70APhszfExXl+41ibxsUkUYsL5BXpxMhGc3YNNxI+BBvUdBnlCyd9/7xpMSi6CyoHHjcQJBvxwZlSofIbDGQCNHrtL/30LxrJDN1cGt2I8YBx+fEr+rwK167LInmiJG+TAz3svyDX3rq9h5kSMtx4QRZWEkgc3JKD6Gg8wO4N+a2uqVRV4ali40LdNME29Y0ejD+1uyvXKqmFCy2cbgpqVdL7u3LthbOagmA1hgSQIMPbGJLPl1+QhbGezWPKAqYN0PpcfV7cr0vts7pu7ZkjfYYfZBvX0KKtu4tHNdQwhMADth4OZ3O7M24ooOWlK2/3GpjeVeWDJpk0+YFJN2J05wyLxq2FnUBwNr7GtSxGs6meWmx46/g5DrixuyffaN2HTM+mc6coSltQV1d1UaLBRBfLVhewQVHYe/CjVX1kd7PhkmoYAdFY+vj4SMqpzNi0teimvuAW1drh/oGnxk7fLP4eN99cILBwYI9uefHwssoQBSUEsYO2vcNkk2B1zRaj/ND7Bt+xHHm2M6LG6KEcf1u8U2tjG3fqEO3XedoLeq3p91jegkGCh9TGKqGfcZ2J7rydWzCvA7we9qqRGmY4fWdWYduMFaPuRo5hDHRtCyFgepIdwND9s5k3scNKuXZnRwxHGyvdNGhATMv2t37mbwIA/vZf/wQA4LErYrA8PLqFV/6Qlq0G2fkdedjmQ+8FAIy0futnt+JGy5NczGqo/3Vx04L8t2wNDSEeHHS+tmp05FqTklItnAs7q3H2GzfCdOW3w7PPzzDJn2mfL1hXshYlm8vM1Tkns3EdbZEX1G1U2t6oKroFp6ncos7vFtvpmey+bBijaQJmx7KGkthwSN1Fgp6ySNrcrWDUbWmt2B42kwfEZH5ZOTpe5iQtkz9btVLVdWuhVDSyhJakeLEqrB8PclNd24cj0fdMyRYQ5zYfzelPreBd7rTcaWCnLeGrXWP/cOaqW2s7Wa+SBovNAb73B/48AOBbHv1m6YMd2fe88FcllGLaHFuFLRzH3N2z+rrYotwo57KBE0Ik2zIDAI2vGu44GJZ2o1ejoRE48t3NSRgZn1nrus0Uf3RzPto/scOkTYNZd96FBbYrxHWMIS0W+tRGYt7u8hWFoQDe2fkrW5IT4r9oomBxxO0K20snhzUt6OSQ6a0yHdLGPsBIvlvVtK0kRjvYOzRdxfVrfW1LnhljLOPjFg7W3fE3Go0WQoF47pnOtJ4uNRDEswYADBSQGSiRG5ZgB2nTsXaA7b6XohxYaF2RG+z4VwjxIEzj3IKeaawNlvKTYREhH/vxcJ9b+zuk0rniDLbplY9K9nI7Vx5LCvIYFN1z5leTB68cX0XOnz8/BPBxAD8A4OmbN2/+FuTgnD+1AvDaWy2/l1566aWXXnrppZdeeumll17ebvJW2bbfCyEG2wPw+M2bN9VMhmsAPpRdflG/f0uyhPv2b0k7wX/rl9lxv2ubztEefmgzfUyQPqOFqniwxQRA4nIa6wMA+3tiRXr/5R2sqrVo8oK4azu15NCqKg1QsoSruwCAx88JkdSvXRfkdKBuvyg8yBuRu2lFw060rPv4j0yitY9ugV7dZYiGkMgI0zmcoqJFGbQaXRelwHQjAYC5MSoSQ3cLtQaPxqtG0kXSjwESGnwAV1+QYXF8OMVQ+4sWxKufF7S2SSxjdMuq1Y1xpgRYoyHRtCR9g3ZUpRZKoj5M2p66VxnAowie5pRHCDGFTjMimqmptHT8DAYxfMBIndRnaK59PRwqQVzhMK+7hBSVus0OS0JZ2t5hQLNK624XRaPbddsGs9SvrfEZtMhy4JRWLPGq6HqWdAWAkLi5ROlastOf3xg5TCarARChc4+VEVobv7Quhmm3NJvypcfqgO6BXStjaWhDtDQPlQzCLLj6/Xg1oq8+Q2DZb6lbpFn8tX4jTaNmro5aX1/6BJXvtjdOzZDZjBcB5q6uy1DRLH1KaF1Mk8cURlZeSnqSoYHmltMdW+n7yVPUdOuZI3Zdi7h967x5vRC9sOGBryKBZCe0PLMtbfJo/S1DHVzSHijCRvIv5/P6Jmg0kQDy1yUVZAgAFDGhHmlLJQMKAeVAdc2o6zbfqHdIjAQo4ApdCwx55W+x/0ietrEtqMVBI+vER//x3wcAbK4JEl3PayOSOVGPnQubmgJGvWp+7uf+G1y7dqnTsJHeP14VdPqqkj0OR+NkPeyi6HEtdXDONAq6kiMK8ZnG72PvMFVCOfLa7ZOQullnxHKtoZpxLYx1zl0JY8m5Oz/e4M+0F6Ibctu92C3WfaG4B7i0xCm0ODYX9jvtg+edC22ia7pzMc0aNaY3DtGjDMETT5GuXs8RnrRKRsRT5HVP6pChofm7Z6iS9y6mCuJ3ZebSmvQsQ+K4tnO/QdfMVKK+7KJmziXrWI4mu+73iTpeKDdVarOZktvq3orrELuoKAe4ek3S9Rwdisfd1S8IJdBoVftTvbCaJiRhUg9eb9MUkwvxAdkga+ctat17EOAkWlhVRKIlnSsQQ1cs9DHz8pE/dB1UPTpXD0MjA3Q+9jtd9ukW3nTRzNAAMZwB3U+VtgkJixhD2fgbdS3T0rYRadeCiIIboZ5zKAxh767fRsLXtDYI6T1D/ewyl/G0T2ZKiDarZK/KdWTgSsw1bPCAhFnq/VYYkR7nc3jAWOzW07UJOpuFAB3sayooJ59VNTAU3ynp2VnIvnbAcNgVZwXYHsnSUMoHQxB3ts5iR1Omzht5RssUXwybdB7jdVlnuH9yitzzXdWhtcJjerf4jgCol4D8bhrGpmDXWy110SCp6EyJU8caQnvhymUA4rEY0wECy/cAvII3JW/68Hz+/PlHAXxG///nbt68maqTTwD4W+fPn/+PAfwUgPcD+NMA/t03W34vvfTSSy+99NJLL7300ksvvbxd5a0gz38Wwrj9fQD+5Pnz5+2HmzdvDs6fP//HAPxdAD8JyfP8Izdv3vz1t1qh09P7aNSa3s4DBkO1wmThgosGycSki67FmXbiofdm8Z8wLjcn3QqJVZnWp8wMPNS8Ak8+cwmtxjgHUvhrrNjoaSGEmE+naF4Qy35zaw8AsLEqFpinPigEWC99TuJeh1UZn0VrZZYrpENQQ4tzZsFOLcdBkZxICKVpBBRBKavS7jciBSJuOfENXEz7Ydnpu1Z5553FYjKdgDfLkF7D9ADwRkxDa2g11Bhqpq4oCotzoWWJ6C/JfIrSG51+oeVNGZc6IJkF04p4sz6TPMhQn4IIb0Ch46DQWNFohUNH2hCt0LQ4t4x3T9KUzMquVbDS+hwfivPGQPuqHBcYeXnm0ZHGayuCVZRsQxmt7GaF11RdVrMEZcms0DZLPC2dPnII8G5LMxKLy+OXIzLRgUwlbiXk/dW1JJbVIJajg2emngWG7Br6GOC8vg+L8+0id00I1hdmWeY4tlBRtj8YB0DkdOH8igomj80p59RLfB9ER1qLdzO04AEomnXlA5CcTlfBLRIPpTFYWsbmQBBExi3Rq+FYPVmODw7NUB+ttd25mEoeT5pXLMQRkLx7eplonJ96g1y6sm3jnx4oRCEOFCU9OpggJ7GJdUlQHwC+KM0TxgBji8HS6jpn6wQdOiIBjo4lC350KIe8UfWLWct5D6KF32qmeol8a85jtB5jmqUc7XR95pwIdOsNgTVEPPNQOLuziqmSvNFbxWv/fVLT3O3vq24rCyM+KZgixEcUCQBuX93HjRd3AQBrG4IyEGUhOeD2psR/1fUcCiBEoqEsvVAIYVHHZLHsHejeVAav7aI1HYKZ7HaWN6hKW69Ctj7WOhdJ9uiC64wHIKqidIQZWkMENUe/rYI5nitXS3lJT6Trc3JxyPSeL3xEstouYmJjPV3kuTaRhsD6iL/75JmcMyxfvy6AQdXd6uVIlnvAd8h0DieegzO0N/Iu8Leo3N4ALE94A9XjrfA2/rkuRq69uAawGkPuB8iok+mBLoKv9xuiGL2vYtvZ/+aWo58RqYx9E0nd0mcjBIw0xhlePZSoa+nFVtf4xEd/XurDFlufEs3UOrUhTuJ84WBbAhb05oKrCFtSeCOJNE8FOuNxDW0DTHU1Xe+33DNLvtc9V9Gd07ZX8nHNKzI9PGe3Jcuc7Ucig5M+m80PiJqyq6tdvo9H5MYxL4lsX4skBZ55H1m9Wvs6Ehgzphsd4R49uGDr4VzjwCdah/G2oK/b57awtSboJ/cyhedi0l3zW7h8KFqfmANOco95Kib7RABgttXx+iaOlbB2qGmt6DXFNcElceBhKXvWvtx7fCB71unVqxiuKQ+MErBu74iX09ZorNV1cbxqveZMxapp0NbW1rGmnD1Ft6vhTZ0kfczB402RgFfJnzF95OrWDgDgmQ9yby+XTDQN7OHkBKuKjBdzoFxaxiNnHsWbkTd9eL558+bfBvC3v8rvLwD4tjdbXi+99NJLL7300ksvvfTSSy+9/Osi/0Js2/9SZWkpsrlVPrGs0QIpf7n8PhfsGotJyC4ZocWgkGtOFFE8mNBi3bXWtu18wfd/MpG/P/iU0MWvDUpMv3BVn6/WN02pM376aQBA09bYZ3ojZZJsnpeY33MfkrQih5ckBnrvhWsYVF0Uo8liMuFTe/eDTbqFIuOrq0N7w2bNY8wz+7ONzJS0Nja07OQxsolF3GLW1HpGRGcyr1ES0VUz0upYLLG0zM4ULZjXDdrGzIpWn7S8um1QGaLeRc3quVr5msa+m2uKBSJhZL6sW0Fo6trBLMp6jxmslI12vDaytk/UoyDGR3aqCyD2H2OeaVn30RRuz6qUpr9WZu9S3xXTF0xnU+zvaqorLW9YkVE2Poes4sfKoloUWk92Z50yzOv9tNbqO7x0RVIvhSLg5Wv7UvaUiL3Ga9EU6B2mZNXUmG62ioi407FQ13VE3wyBlXLOnhUr37lLY/MoYF9PK3lHZHI31LQNmCgqPdWUZjT/RjbgaCE+OZp06mfp2Up6WxQLHietWZp13jUxzpJ9MFqXzwFj7Z30w8nJFNe1/4KON6Zra21utcjjonOGVLKVe+8txscUXqbNXAgoz2raKY0lmmu/TXVsHBzMMD2ROjJGn+K1Lyx1UxsWYhMjOysRqDjGhxozRbSWsY+lWtHLqooeGQ2t+lowmfWPp3DkU7CVqIuJ8x1Uw5Jh/Ek9Mz3vTB2ZHq+n3Xhm6/MqJA3lPTqeGZ/rYzk+j9nTR1alswoYuqLvkTGAlSLcMv7IHNtppiGXc4QkgUR37RsP5D37NfUy8QF+Qyz2sxNl+p0RHZH6DjeGxpRL5tdGY9YKZRwdqSfUdNZYTBzj7+paYyCb6G2RI50xVwoRnsjRYAzQC2yxD16jRbpo5mjkMVB9ZO9cb5wcif6bcB0vXDLPms4zFhHkLvL64AqF5Ibuu0/j1eNykM1T7Yv1denj4bjCXPt0b0/mAdfAwse+CZGpAgBiaqQFpDH9OzzoA8J8re8mBh7nDU0kc/PTe41jofTwum5ZChhjCNZ1e9bgmHrY+qmr/6h6xluNMWV7Ze+dKkLGcRfgOpkG5LuurogPclZ3LjGFuYrIx3Q2t/osopb5c5IxRObi7NHOASe6V7j1onganrsg+7rhpuwJm3mLvRsHnfvHW5rWsyIKr/upWY199dBZXRMUrzTvgcgc/MZju7vWB5cgpJnrE+lvqsGil9qCx2dHbyXeFIjj1zwfEg+0OllnUinMqzB/l+J5CsBSqCZOG0kVuEftjlUJo+2u/864gOLY5zMozHoy1znpCo+qJDrbReGNiZyeRS56OK7qmjzTuV7oorK+tm7M1rlDQXwtyTvI0mw5dNdk573t6S07Dsd1lvYpAMIdgjgGLJy5SPf8+m9NVTW9JeeXo6syJ58/1n0UZji3KWvJ2pPbAICKKLrWoWka28usKj8P95gXnpSsO9/xgWdQrei57LUjbYMuwrZXiuc/corQ2zQbsgjzOQ5Vf2ysbwEALl2Sve6hIs63rt2Wv/d3o8fDbIB3FAXObrw55PmradBeeumll1566aWXXnrppZdeeukFb0Pkeck5sxSF9L+GDDedv00SAzENuBY3SyskAKyLpW9LIbrjGeMYkT0nsuy1Gk/GEJvHHheLYrN7iKAxZ7QUr75frClOff4LDLH63R8AABz+3CelfsyT+bxYKC8/KUj2VV9g/4U9uYa5nzNLXYCL8VkdS2u8dmdT4yu2N+DUWsncxhbLYkyOwRDOqcZtHipLH1G0iLYkMY96OxHTYiyWopPDKRyZbtWquLUu14wUgS7UUlfP5pjP2N8ZIqFtOj6eod3VfNhZ3Ec3XrKLEtL7gIhMRLQbRBJLtZozdlrf4drqGEGtW3u70heTw1mnfKJohcNCEAz7074NkemZscmsw4VLEv8y1BzCzX6LenbQqY9jrNKcubWH0TOBlnnG7Og1nihmWcbYULZbx/5AY7NRRGSCVuiRWltHWi9XFphDx4UycZbDLBZ9SETM40TjYow9VeszHI2sXGNq1YuOyxN0JSJIbt5FhnOrn3PO0LaA7hjn90Sei6KI6FjOOm1B0MEskpUG0BongF47IKty26Cgx4hWrFKm9Zgns0nQLZd+JPHISVsY056hXjEnrMdAn8HPQl/ebKj5rKvCKjQaka28a+n3Sc5estrPOYbUcr25I/N3dX2E0aq8v/09sUYT9b6uvA6lLinVYGCDPHhFW/kcRYF84Q1pITdBm+t3Qw+smhE0W0Dl49oxt6A66LM6xWEwLMDUltSNRFDjs4IhV3SkMIS9jFbv2UTj8buOFBgMWVBEQ8wDKBvAfB+zeUB9LLrGYgeNi4EeH6qvp3M0h13UwWIoFcGrqgHWN8rOI/1YY58Jf+t72jm7gRE5ItS7YufsNgBYVoRnn30OL35BmIKpCxk7XTi+S7l3Np3aMxYQsTS22N6nNrekhwc9RSqURA7pfcQ5zSDyJPZxEcPSJ6ecIG8A5C7cE9L5KTdRzw3Ue216PLEMC3nBVHGl9utgUMXRarwSOj8YbwpESMj2P1knJboj91CI9yy2Z4HhO0LmNnCNo6Ql4qzIIj13ynTedmPRI6t1wIyeSjn/gz46rl0Ah/ZUPQjoSUDkzicoa+zhdP2PPwS0pgfGqq/IJsxn1tP5A/onHwzhAT91oViikNN6hg99+P0AgB/7G/8ZAODzLwqXzbM//SsAgJ0rY/zFH/oRAMCca4i60+zeEG/El9Qr0W2v4yMfEM/E2zdu6afuCzgVOl4Oi/vETrWTQZ/zt0QeDWeeK9wPk426NEZuIopx3fCeOkjLM2bukCCm3b7l+mbvro3rY+Qd0T2OrkdVwm0TK99FUtM9l8s8YThmo2tg3BPRM446jWh6XTc2lvhbrfnFI8dAlI1zgnSeOyufJ3vyzjibD49OENbkjkFBPp0uL1H0hAimI+K76rKNV1Vl60J+JuKfNT1K24CaPBoD9cqxfY+OlzZEb1WeB26Jd8+NE/nh3Ei+n89L3DiW77YLWVNGFb1LZa944/qLOFQPm/19QXuH+oDnflnOQyf7NyzP8XBTynn8ioz9opS/zbEgOATfXURzVXZ8fILb12Ue3Xjx89J27YPhhpy1ds5dBACsbW2ioCdAAxRhCaAq/xrytjs8n4buIOCAmitZT6PK1NyOOfdCsI1q4bvNGui1g8EIjaYP2BqIUj2cyES4re5fLnGp5CCenEjHf+cHhd58rArl5NrLkaBlQybLSF2w0/VseEleVP0hcRmY/vLntNJyWBjdkgn2kQ88jo+qy+6YpxifKYvgzG3BZa+Pg6jSRW44HMDr4jbTSVNq/1Hp1E1jB5wWdB2qtTx1cymS59gkZnU4gHUxrYZGGsTD8nhdiY24gVdygWoyswJtI8eDZ524oNBl0mwFbH+yg+AmRSdvowqlnZPgh25hpSl3Lvw0slSObrAVWhJxkWisVPcbLcf5uJhE9xtdeKxzeGgN5sbLlAWrOmE3tra1PGif1Eb0UHo+SxcBvg/vza2Shza6gTd8z1Vsrxkm6PqiQ2Aw5OE5SflEkjft85mWO3A+HiToxrymrsn0ibVDQpu4InHBlr/5HgaDofUl3VxL7RMHzkVo+XGxjsRFnUdmDpUq3LTp0DLipgBQQ0a36k5x2v6uuxafyb6p1I22bFrbVMyYKkOfZYanEF3tjXwlS59kfVUUqLI0GLnLPUJM1cJ+4wGx1PAQV/jEzSuGOABAQ/feioeQMm6MOB+0/HV1O9zc3sTWjhjmSnVDG6/L4rZ/W3RYq5veqqoiYQ7bQoOT6ROXjJ0uAVxOGpVE5dhFcfPNfvNAbW8Q8cakQC2kmTb+QEO4AAAgAElEQVQIXCS13Ty08TDjvEc5lj7gGsIDBTd0IQQ7SJvL6rT77ssB3Q4LM+wYeQ1bz3Y3TXzX5g6tdS87LUMBb0R11Ac0lhZGkOSwrrqH6wL7caLprIzsbTTCeJUuonp43hZ3t3Ulhrn64i20QQ0lfK/q8sf+47hpmvnCgemBJ9vuNLDxwc1uWVa2wTFXRB4ECnXzMx3pbE+Qb67it87ud+heu1jB5DBuQ0nXTt1EhxA36DY9mW6Gbal42CxtHlgoQDY2fUgr9kDN1mlLXr+oT5I/F5vVvcnFfqKhM/ioj4BoDC/LIkkTxXfNcQ39vrX7osGzq7SjIQ9xn5PpRoZCuOTwF91uu/0XCQQLK9sO/Ex1OGP5PiF3fKO+yQ6gSN6zylzXx/G5LfzAX/wxAMC/8Z73AQC2L8tG/YWPy37v+/78X8D3fvv3AwCOIPrys//kWS1H90SqT//yf/KjePp9sm989v+Wa37yh/6WXGu6p0E+xvPDLffJRWJUajlPS+oy+WVetwkhH8dQd/K4ZJ7lRqU8tM3BRaNKXi6NyqkrdEbo5QsejLVYH9+1y/bF+eHcFXHO5fun5CSW2B90XcjWFITQCVsC4h6mtRBIgkwFDm5J+BbDmy5e2AEAaFNw68bLQCtraLV1Tp+h+0bWnWSGwUVjvo71iYbpHezvyT2Fx+aWADCjkiGfFvejn4lutHCQIuu3uMdxTVfn0NAx1EXqpKnsno2B7iM6gGfUC+cuXMTGuhobNITqhRdk7K/r2vLYY49hxP253kejEsPCkLw702ttNha03VsbG1hV8NJSTep4OzhUMOxE+rEqC8z0DFg4h+XTZQBn8GYkN7X10ksvvfTSSy+99NJLL7300ksvmbztkGdgqWNFIjLUZEnVaX7wZtBykRxB76WldKjWi8H6GhpFQ9UTFmfV+r5/9JI8J7E28lFr6nJ15TGxItVqXUIzR6vO3GtPibu2VzfXNnUvVUvu2tNPAADmu0oaceNlKebGLgBgczzEd3y3XPPsPxJr49gTSdVGuWDoBy1eZvXJXGQGgwpeGzpQNKQZqLWciM/cmVt6SyjGMsTnqE208ri2ew2tc9VggEKRZ7oo0i1lqHT0zitZVlXZ/XPX9ZUwdD3xAFhwOUOsAq2AdGlyRlww5xesjBFb5Mi6T8iONFtMTHWjpRkCyv4rqwTU6lrC2P7hsLI+nWn6qTUl+qlItlUSmZhGd2a6mmu5RIpdWVp7zQCraZPcMHNlacOCWznrWZbMmyMpwQCgUZeYkVruImFLrE+G7RnkaShuQIR7QfcnJWybKJI9GJhlmEgb05RE130lK2odvFrH+a4WU9+ExDVBP7Qf6Y5MtMQVcUx59rGPY1wa7BNCGX6n5bou8lzNmzhOsjQ0ROG8r1I4VaveJXChld85H12HIzDU+WwRrbsWCkC3UvMeKBDHvxaXQYFsY1PPzcMjJG53QEw1NW9aTBRtm6lnR6GeLLWOxzJxkQ8KlbZeyZy0nOg+F+vT5Axa3Wp2G595NRgZkvfJb93PvP+aJqo3C7NQqHe4pkhx6VBP1W2U9xuyE70YmCrM+lbf60zv5VwdDKPVnGgvQwti9EB02aeHSGmhKKFTflFEwiZ6nBiETW8iF2ycFJ5EZooSFhla4JIXkqEX1OFl4SOqShQpc4u055U+hgd1gaforeMS7JTXLOjj0hBEKlXOD7pzmy73LpJi5fM3dWtw2dYnd31OL81T52XpfNLr7ZmGokWvA9aXnpd2TYakhsTNIiVEzB4UvzGAqYs00YsuJE3Hgq7h+ubMk8080fiezf21sM/UhZv3A3FMFMUDfB/zl0/954tFdHrBXSDu7x70m/RDiqITuY79nj7buxj8lnl9P6DPQ7zIkNPuOHHzgBu3hDy2mUtIy42r6qGhRKn7h4f4wm8LCn1yJHvAay89DwC4/pKEQqyeE1Ty5PAAz7WCkl19QcqtVC9xm+ZcEcmqMhfiQsP+qopee36h24J9EUkV+c4Ho0hembbX0GXEcI24pLjONc28jaSgvns/X1WR7K9I3hUyTy9K24bEpbubZytkhGG+8PZsI261+cD6RaJZSkyLBavXbEqCxW6I0Uz3Mpw3hXfmcXayJx4xN3RtGeheq5nXODgU1HNtTdfDgU04e2asb/cdGaGZhkQ0ZWkeiibZGlPPpS5Ns4owP9Z6UJ+KV5Kjl4n3kThT5/j6BblmZ1/OPdd2dcxVDc49Jqg3vZtMl6nuXlvbwOpYrt9f29VmSfkjDaHd3NzEkCydfFUWnWIrhZa/2M7cgcT5EpWG/FTdSw3Znira3MzngHlgzCGI/CN4M9Ijz7300ksvvfTSSy+99NJLL7308jXkbYc8S17uFHHrIptZiEL8Hc6sqZYiRf8eq+VvtDnGyVyRBLWMbJ0Ty8nOdSFluGFkLR7Hh3LtB79LEn8P1HJ1fH0XAFC4Ev6soNFDxjqbQVKtSC7GMPiBoHlr3/kMAOBgXyyUXuPWwvMv44kPS1z1/LskYP7ar0ng+2CkCEPTRIKbzGzmsti9qhrCq5WsUoKAWi0vRJsBH0mNDCmmtZDl6qXBLSCx0ZKr3xcRKWHwmcVMMTCfsYBVhdCYiUk++J6nMQh1AXlG91rvXYyvzNALIh+GlBcupiVi7JDPiG+K0iy3jJ+PKAEtubHzLR1L1ie0lBeFN6SfHglmEScyWUYL+VCJaMwSy/dtyGBryCayWDtDbfTvZt7AtUTYu+gK0WY38PaOnOvGu/uSFuMYD7WQ2oPt7ZB2dF9WY0g5UdvKLLnzDJEMJCJSjw3MPWoNGiLxzliR+1SmOneDEjhV60yNEAkz2DfEHTgWzFMkfb8Rsuo8x7wsLPVVZXUfDPhe5Jq6jXOVaedI6lbQAyCzzjsXqfkszjofXCGJDc1RLsY+tVjQFUUWp8p5O2+CWZ8pUyVDvHVtFwBwuHds6cj4G3XbTNO0VONVrUOxQFpDj4qYogwLhCgL+t6QhQV1twBNCFlUhiBSDxsKqfNvAJRVt4+D9XnQNjWRWE5La5R7g/eUpbf4ZwvPsnZ2azKfp3OIMWdsSkTeiGo7Q4rjuO00X/8n9dLxrMhHpWlBvANmE3k3paaqikgi28v34dIKSXmGsGsqrLrGvqb7QKskhyT02VbODJ0X9XSOoyPh8CgylDUFh2PImr6b9bJTTjmosKox1/Re4O37JIhTT4gS0fsgYSCS9tJrpSxsfsWY+y5bXEyD5lGRNFErOrX0hRwVwQjWhqqfpurRBkNi49wk+hbneJZ+JsQ1JY7w7hoYiZYe7LGRtt8lXRE9dbSc9P6EGFSuiWgU0F2jmA6zqoh6kbQIek3xhtmwLA7Xc382sHFm/Co2T2CfMT3Pg5FJ44AJIeExKDqfsdzWiJa49vm0wzoVdon+oD5qO/WdHR7ip/+mxCSP1MNuqtwTJOH6xM/+Aj7zsU/I/apHTjQOdKxzs1VE8ef+3t+3XF7cl3D9Z+okD4dpK88g4smxRS+uShHk+aS1dFGFpbwSoaeLLxbRd3oE+XzeJmi8XUtST5bho16DLYtdzwIu8Q4RCW8ylJvIrEvirG1PmuwBeY1UwlmdS/MM0vrRS6rwiNUL2f1ah3lre6xK5/iaxqWPFVFlSrZ6OrNxsqoEsU7dTIqhvN9zF3cM3TfUPRvHqRdBROj1k542A+rIVI9b07V93KcoCWQ5NEIvX3U9HunOEBBsH8K2lLqWjBVlfnxDU+8Oxti+LGejcih9kjCwiXhZM4DU4ykStwJCjOvpdWNbA56f4ti0vuFe3nhhugrftbEP7Bf9e6jkqkPlvApwNibrZi5qTB2Lv5b0yHMvvfTSSy+99NJLL7300ksvvXwNedshz1iKKFDTNAsoaMcUKf8AIAhSq/F3lVpFh2pN8coed/LyyzhRlrUTWtTnTKskpVm6ljpgU63dFy9uAwDqG7eTJwJtKLCqsc5uwDjfLgoZQjArGS3r1aay433kGQDA5Bc/pW2s4Z4XBPzK48JEd3tHLPdhX1lFiyKxlrMruuioT5gmi6qLBhjC6CPa4BoiYW3nN7LEsu+bullAgUP3NQAp67myVzPuc5Cl8ynLAg1T8hCJIUCcsG++UcxzB50q2QdZX/jEtAmx0rXK5MfgNWM3ZLvLEmBqBsZnIt6fNsLBGfi7kB4iMbLGuvpOObQKujKyslrqAkWB7d0x3jKEiORm8Xi0rs6TePU8JRLRAkvzUji4ohs7SEmR2Piu9Vn2bPm6TeoQGanVQjrgmIosraXFRnYtksbSatbuJsbWsX2TLrLjnEviIWkRd3jP6zW2v3SC4b3WesAtR6v00tKSlHt6CgA4ZWOWlrC8rH1xKte8+67ok+E7hI3x3b8rsTFfP3sNy7e+KH2g5Wz6ewCA5VOOwxWsLOuzzsh3d3TeTV55DQBQv67lVw/BrSzLtffuax3kM0DKv98A3/wbUr/BO3SePSz9+e5XRce9a/YVvIa7AIAzr34FAPC66shDzS5wRuv0cFVgeUVR1vvyrPae9MXKK3LvYFhhZUXqfl9/c/r3V175Cl5bWcEr5UP40uBhlGUVY0TNIk6LczIHukBEHhaepL5BEouoOj9ncl3EppPYf/lkWrpq6GNsZ5OVY1BKjC3jMw01I+I0rTHTDGtF1dUVRMiMcb2Bpe+xcg3ppLW/XfCKMMQk875yzlm6JDhNU3bI+urYGAxtLjIDgcWuGus5kc8IZDJVH1GvmaZiqqdz1BqzVxNhVsbhsKlPTjwsamWHbcqufk8hAUPzWqJw2sf0oCo8BhbX340vZ3n0OnHjKmYwy1itSyIppbPfmjlzVGp5yvlAxK1I4q3NS0XHi71D70k5gbnOL34OiIAWUecyAwTLqbVv0+WNepfP5I+GPBnIGqzyeXx/+r0BQYnXh9RTy29D9IrK1jyOO0OgCx/T92jDyd3BOTlpg7Vz3sTxlQrR0qPbt22PsH97T35soucZAIR5wEgRv7OPiZffBc1iwhRpn/n4p6W8oyNrQ0TLdU3Rcjcu7mBNU2juXr+tzybktOjRkq/BNga45xxUCMr0v38kezVj2acX3NyhPtE+0WG3vrWmzdRxojqkmBXYO5h0vlOKDfN4qJs24Yro6ob6RPkWlMVbPDNVj7TdfR5bWxaxACJ+9FRqTA9HL4ncY4QvuDJkO6DVrCmG7NpmSedfOrypA7lfSRxi5OdgHkBlvtdiZdLjQsZDYnM6YY83ThemtWWmAJ0XjQuGbEYOG/W4UU4WMjcD3hp0oDHPq5qdYntnBwCwNh5ZeS7T/eZJmW7YjENFxxt1hyLa5WA1cgc0XS+61XVRyJf/8ONa3BxuQz1bde/baEqpyjiCQlTNyZoEAIUi0EHTIE7b1vaNtoZkqWaDc8YxZA52uhccMxVhAUAz8Nju07xM6PkU+4Recy7Te8ECpZ29h2AFqvD7ZMyS3yi0LZbuu7QWX1XefofnXnrppZf/D+Q9r9f443uHuH/3nn7Dg/YSlt/U4VkOsDw8P6pueA+rtq2cHmjrGmt3dLOi5Tz6mty7rPcuL3t4Paie6nflPamXVwPe/I58Pnx6Cuf18Nzy8Cz1OuXh+R4weEUXPt2JlTM51A+U4GQ8q3GmlsNzQQIzfdbSPTWY3Ze6POROjRjpvvbBfbq5k4hsOW4e+RsPhmfmd7E2v4tv3t3DZ7e30EsvvfTSSy+99PIHUd52h+fT01Oz/BdFsZDTK0cbYrxQsPgJi1lTY8UtZcWbH89AcOC2IrkzjYckeR+ZMOtZi+/4iOTpK9U6Nb2tvv7abeWlsxhc2Oo8M0VM5Qf7T4Kkyd/jK2IFqtVK1Xz2OYRDecZoV6xbz7xfrvmk5gochjaJOe0iJS4LUpZ8jLrR13hjQxtpfXQeLWNN2AYigmQupDXU1zFmKM3Ph2hpatoWtcZDsjrMQUorMGM9i6JAoRavGP9FtKCI5ebQac6q7JxZx0K2qY/REMnfkRa3U55Z0wtvtN2R9Rud8s0jovAxNsxi9fVa5lVugYrvhH2p5fPTJ0g3rdk0pBUDIm1qta5bzGeMUenG8bDBqQcEUZGi1HzANNImMYD0vDDUjUzVST7FoXpXlGtqjdY4y4bWbe2kwWhoJj8yUzI2rBgw/qY0C3Ux7zJ7sk8YZxkKb2gZ+3+qyKmNAV9Ey62OnfOvvAp3/xROEdVTyEFxCTBUOaJvPNhq+08Bx8NuxqDr9VDttVy/UuB95yW356PvFKvsI49IXz1cPiRtWlkB3LKWJwfgeVjSrpW/X9VYyi8f7GJ5Sa69f7+1+iSXYmkJ0GM1JhNBrgf39Z0vrwAAtt773hjDpUaCU37qHDj64pcAALd++3fxsB7YeY+C5jhzJiJRe19+Vf4xvQMA2Nxa12se0l48xc5kojH9Oj44L1iIzoVmNkehLJvmLcB5yvFr7NEJQhnysR7jNmNIHcvhD+jI9CSgrLoW8ZDEsAKyBjA+PbLGcizIn+WgwIwoj7JrM66aXha+iDrJ6sVnZYzhLYCG3B1Nd83jfDF0OHYBBtQrq2xuRDPo4TFR4w/nR8U5lSD6WTeZsaQ05NTHLAquOy9sfhRJH2UxiQsh6fGSRA8TgaE+iOzOhkDoi/U50ywcONLiHkF+YT8OR0ND4ZkzN/JUQJ+p+q8sMZmIa8FM0e2IUvPqFtPjE6Ql8Nkjze7B9he+iKhoFt8bvRtczNhgWUW66J71g09yuWeeGcjHWvKsPGtJQESaciS7yGKefVEk6B1j97vlOR/XxZxN3cK1dV/VwoF5Z+mpUAy6eWhDC+MJGCuvwtqaoHpjzQyxd0EQ5JPJ1NadIhu/rfb5oBpidU1Q32PmqM8YvyPfRAAYIxrdzOQexvkOnMWRVtkWsE32JJ77Cr1/vDbW+sjfU+5V59HLb4HrIPEq68YgR+GzS+4rvIss8XQ2YOy9cTO4hJOE3irsE0UfGR/tvLWLqDKfFb0FHuAL1B1iHRQ8MqTrb647ttomoqIoQud+7q0L43VZzENNIQI9b5qEf0B/000X1UrRentHnMPmHcG9yIR6P85br/P+wkVBnMd8wQl6nupoIOr72XxmbSKvylTnxS199ki9YsflEMeHx9pvikArx8Vzx4p+r8mY2xiXts4YF0A2HhGSPSXXJO2v4xMpL7SKzoeAvT013Ju3Ctfx2Eq2s5lP9X5lJD+Ss87e3ssIdhTlXjr9K0GXQ6ysC93fOA4DgumyNrvfZeMPaG0xb1uHcukhnH3oPN6M5GtlL7300ssfCHnHva9CptPLvzQZpCl8eumll1566aWXXv4AydsOeQaSWABEK0UeC7dgwnJuIYbgWPfOc803ujFwWFM0a6KWlwkNz7SCqvVne3MNZ8+KZXN29Ub3kYqWjp+8ZNZGxphevy3WT69sisPB0Fimifoy/sYrErj2AWHW3t8/ANSy1FyV2Oft8WMAgCeeEQT68x9/zvKKMv+qWc0yC1tRFMYqblZys/7SyuctZohWbg3dwexILFq7h2Jxqm/tYV1ZxQttk8WpjsjCO7W8eEcn8j6eekrZyllvC0Au4ZyiIRar3GXFDE1rSE7Mh9lFu51LGFtzBDqzAou1NrOHGkpFVLmI+YRdF3GK8Fks35CgLNditLg1EVFncURiGQuoFtN6VhtjLm2nsznHJuOlAmqN+Y19Ep8FRK+BoipjbmplPSwdcw9HRMGnqLv2kzRbrxmUhqgXjAsKmru50dg/RUPKsrD2sN1E08lLUHgPr6gjc4JaPJlZkWOu7gWm5izfsy8Ki1Oidf9MVaI4PTWk995dwWpPTwO8oqxnHlKUW92tl9SlGkvRpXtJUgBghS9Pv6c79zvf9U6cOSMu02ecPquV3+400RXaeUGEV1bkWnojFHqPH1f66Hej1YP/sqLVQVHl+/fVbTvcR0PjgNbvzl2i5hHVdEunnTaYd4XGVK+tv1OuXT7FK4evAABqHX+F1vO118X1+1v+8Fl8+3ufBgCcaPz3rd8RPfXir/6fAICLl74Jy/AoCp+gZhxvUofRmiBH249dxP4tuZ/s/5UxwGt9Ga87T2KxGFOboRfew+apeSgR2TAuCxbSgk44MbhOPjpoBNeUlmiy1M9iDUNEO/JYQla4nhIZDNa3EZUiS7HGoNXRoyNHJC0M1JBZmPC3nIOiaeeY1dQVOheZo9u8c1R3NHMMiJAY4E/kyidf5yhyVx97o9D92rb57hUG6eozo0eKMfFbLtRuvVKVbjHXVnh37XMu0XO8Ig/GNk6LYCzCzKlLBJZjNaC194qQ9w2bRJ1WoFRXIG9V6PYfXOSpMJZjvZJobYq4x3hUrlksJp3zXeTaJ2snwBy6vJ+6O697XCP4b8ufzPWwTfgrsmT12fKdtNfbYDY+BHTbnTqghQxVYnmVekZVgyKi5ZaBQD/nmqN33kpue8TxHx3auvMiOJd4WSQVStsEJDGnXZQ2etV4K2eoun44JC+MjqlSEMtmuocjor2GerMt8rymBpyynJMzpTRvEs5promFIcMzRUrJ/8BsD00TLBPKfNaNVzdPO51UTQiWR5gbIO6F02enfA9yX9dLLbLwp/unDCk2T5eMLwOLY8JyV3tv3ilt090Eci/R1E3UJ/Sa0/dA1vwJphbXPxwxN3IXjefcF1BUytnc2QIAbKxvWN2lnsm4NzVP6FTKO7q1CwC4dXCAs1ckrn+s+/jJrnhJHNBDtSpQjGTcXzgnPElTRaJ3d6UcMMV54fH4U7J+/8Cf+C75ErI2fPS//TsAgP3DA3NFsGVM3/lU94/rZ+UMUAWHFw/30qYkiji+Q55Ljvcn+o2Ud/U5ySR0+PJu4ieQK050vg8h8QzJ76AXAlzyLe9L4qHlYgDyKqk/y+EQa4+s4uy/9eaQ57fd4XlJ3ScBAC4ezrpOAalQMSWECPaddor28qh1WL+sJBPbMmimX5AE9FN1HSXt/BMfOodSB8t0r+uuXV0Wd+7B2W1T4Ld3hWwiKHnAWIkCDg6OUaobxdxIEuTzws621Es3k2vf+QwOfvbj8iQSGTx/HQDw2DNCTLb3xDnsPyffVSO6grAnuge8qiwxXBX3Dq9EKBsa9F8OxN1y4EpUGtDPdfAv/wUdcKoMyzNSxsmdGrMjmbx0VTnWAzY3q/O2QX0s35Wq9Va1DmhJQiHfj0YVHOS3dt5dyNIUTIskVpm7S7qwJhvBtG/atG+YQqvMNjrgo30k7jB/5mwj4JNJmB3Gfbb4NiHYNWVGPMLNRw153wf7h3HBMndhKZeLfT1tjGSm6OrhSGrDTb+bWz/N9eRQH9HVu7U6MQVRYa6mWp75vXqrx1hJikZrXZK82bGM8+ODIyu7GI877bZFsyiSVEv8VCOOn9szASAEH13Mrdu56MX2u0wx3r9/ivshxg8vLQe0zuF4yWMweBgAcEY3XPc0/vhU3aRPzckbcEvy7NdIRPguTd2wLXN8vlzgy6+JPmk1vvphJRVZKeXAvHQ/YDoT3bD8urg8nyrZ1und1+VeHbOvvDrF9DUh6brfyOGXZGL3VC/cb4O5cvMfoZVPknotr7ioTzNDwJL21coZadsj7xxj+R1CgPb6gbhyXzv8MgDg3/zwMwCA9/+RZ/hArOvnxfecA5oGH3nigwCA/+KjP4X9egX/ni+MXMb0kxpLHn9CFvCtnUs4OhK9eeOaGCgPbsnftgGNq7I9Ow/fiGfMOJGH6wwH6RpF6RrnizgHG5La2CSifgm2UbXNY/QBtmdZKAzDNJruYcslBF1VdroN+crmkrZ2zzvRrZbd6qOboB1wuCRwfoQmkhTysKeH6en0pFOHKgScTOS+Yi4NP57oerZKYrJENS8QN3YPC965hWtMkv2shfyE7sEpHtpiaqTWdb0afGaoSMeApSXLUjimhFxmjOP7ZHlmHInbOm66eQiJxofoDkkSrFhBtiWm37K0TNkBMeQvPBUaLuk2SyPRPCyEM7hs3UizUcXvOOb5ftI1rPuds4NofHaevoqr47zlobpOQBDqcy0386UMCMkS3N0Yd6qk7Zzo/uJIN+5jTT/TCdthv3PdMEOMGnHbmLrJDlX6qMZeSNzA8ytrNw00evF4Y4y1daaYlGcc7XfTSLkipvpkSAcPzQX7qoxtyNNDsY84/pp5i5S4FIj7sOhWLv+o0diwois2PW1jaqjWAJk4FLU+2jlzM+y10TjK+UsjPQEC7+xZUY13xypDAhGQpPzrlmu6rCzyrVbsFRpUqN993FdEki3uCTkWCpvT82RvBQADhi76AhMNQ9w6J/t+p+/3+nU5/JWaym57ewtzXeO9Gln57pkezHfGUnZQ1Lk9XJVwgmL/BAPdnzhzsZd7DndFdx8gYOucrMbuovw2Hsl8eFkXg0tXpN5b4wFK1eM3fvcF7Tbpm82zcs3a1g5apiVkv2l7Dw5k718S9PAea1tiJLDx27VTQCaP1r1+Wep+IOWv6v5pZ3sj2TNz7Qidv20cwiVGLd+5NoYzhQXduhA6YtJGHQiH4Zl35Be8obztDs+9AMPXXsf6l09wprkHaPzifR0g93YP8eqrmjvzrkxqbvLv6+v8+lY28Jv/+H/HQxp7MdQNU6Ob+5UzslE+41ZQaNkr8ijbWJ/qwrOyIpNluWkwfE0OSI/WUs479dAQNBjzXmjRqLJZUaU3GIlyefQlOUjNgx4wvnyCO8xxrYeXO3NBuXbUiPHKwStYdolBBRH4W3IOr6143BgN8HuK6vXSy1eTV8sz+F/WVrGqBquB5tec03hDo1WyoSOSNlIr8tqOLFbV42KIQ1HhSI1IjRo1xnotN0muDTg8FiNcwf0JGcSVrrmpZeHd3T3AkcYD8WBHRs+5zpemCemOROtOAw03ti4a1PIDjutu4ta3N22jc+O6LHLPMzvAB78NAPC93/PDC/2Jj34U2N9f/L6XXnrppZdeeunlD6C87Q7Pqb3AO5cYCmhd6LpxI/mdAePe3CHkcyrZhgIAACAASURBVKRfDEqHoCjoWD83rovb4IFaM8/uyGZ6Z2sV9fNiWTLLbiH3jJ4QF2pUJQ4UiX32k88CAJ66sgMAqE/EwjPwHusbYkkaqIX09oE86/C2uEMP1XI12NnBxrd+M9773G+i0fQwS9z73pDD6RNrI/wzRYs8iaWUuOjuXTl4vktT1/ijVzA7ElfMe3o4mM3kkHqv2QUAFGcKLCkx0jKZfNU11Bfitnn5feKm8W6cwRe1j79y83fkfj3J3tOUOvdPT7GtFr+v03rd+ZIgWK8dCqJFz8mHAHhNwdMoKlqpe+rSHUHnVu420X1W3VvpLuuWHd59t8FOfQeffOcYX3yojNZssx6TPCZaZiOZEK1ltExGS5YlcM9SrESLGhEtt5jk3h4dMYW5kmrRImluR3rQmSjhzOHekbmfEC2vaNk197JgByRzu8vSHZjLeOI6ZZ+Z617hvVnUiZqdKIpsqVwQUaRDRUhPlIComdLqy1Nha22o9Zq5sve1W9va/vjMmH6l62pHiK1FCe8bu096lPqArmMB7HlDhqoCK6FNdEaDcH8JzjVmXZ1Ojq19aZ+UZQx5MOIcVZcfeEaQ040NSQUxmU6xtyflbGlKioEarQxxb1sc6wG4VSSGaTFmjczXPUVdb728bxZ+jqENtQwP1HJ8cnSEWssr1fXv3CV59v6+6KTDG4cR6RjSpXHQ6euqjO99oOVsbWwDAL7jQ98PAPgr3/PvI5f/5yuin74x+/4//eG/hNPNTfzDg0NsXZBy6JoMr8iMuu7VsxqrIzEynL0g9ThS8kSSWzn1OQtYnGcJm6S2qTQrdKkGD7oWmkFhSOSjNbQxFHSrpo6AXcN3RISN6Erq2k3SKQN9iMCga6hwDgbh+LL7W+otRYMHPWMsLREJf1KXce2fAQ0x+llPaVCJKCFVF40kEyU4Gw7Vw6gaoLKUUOpJpEjK8RH1FF3vYoqqqaZsMmIkonJti3pKkq2IMAFdl1tLy6T6ozEyy6i3rA2mf4kwaf8ZcL8YltNFVeWqqKv0G5bPtEJdaFzv8512hqROi+sDOl+Yd01RoM3TRWZkYC4sOEOZmBtywXCCBqHp6nyXVUba30Xxuv4P0g0LqRZjI7Qc6ucykp6Z15D2Bb2QinIhfCF0i+uEYQWrn35TdG9q22jOHOo+aqLeb0w3FElCFz0e0rpLgSe27lM3xvAtzl+imi4ipdGfXuvFPz2KQsohQepoVebF8XFMiWkeaylKnpRrJGWFj2s7iQPV64LoaNvEgdIYz0T37aWeWhbKor8xPIT9ENpYHutRDrOxyr1JADgfDHGmXiKkHVwkTdVncSqWg2z/0gZLm2bbpqKL7rdNY3rTogXQra+F0CAik1xvXKEeY+ox54KzEBYSQ/Lh1JGjtZHpfo6HSsff5cckBRRDXZp5jeN91YlKaMqmnNuWtVnKyj1k2enyUakbdjWqMDmSfSG7/8Ljin4HMXCfwOHCRdmfn5zItRMlF7v4pIR8/qk/Kev4Dt6FE0hKzX/0P31M6r4p937oj/0gAGATK6ghZ4YXXxFvsMmBlDtSor5g+6KAwVDONiOG+5AAN1Ew7NvmSNaCl66Kx8jG9rb04+MXDXmOusalf8a+CknK1MzD2BBpIK7tme7JwX65R/fX9RxnzBPsa8sb6ehe/hXJO3e/iKVw+rUv7MVk6fQUF157/V91NXrppZdeeumll1566aWXP8DytkOesZRY95BYEzJE0SyBtLYCC9ZGSwnFAPjVIT79wksAgLNqKdlRdOTaDUGOHn9SLDvFdIa5EmUx4n7wmBJfqdtmG1pcv34bAPDpn/0MAODzw8/KNWrNP3dxHcNVcVde25T7vKI/I0gdzl6SOoSywDvXVlHeP0WrFvuwJ5aiwByzD5d47/sErbnxT39Xayfo7SPvkjjO8t3it//PvzRBVQl6vLQsfXJyLIhRqW7OyyvLaO+qJVPR47t3BJ1eViv3F1d+HwBwYXsbU0VQd2/Ld4++W1Dz+/eIFixhX5Hi39NUPI88KvV5SPukUuR4+pXXzarYaF6c03tdQokAwJvXNhHopfRPAEsYkizAiIJg9wOJdSrIX91r+FuM77WUEq6L2jAGuK1ptU0shxmskuIdU6I8vmsNpdV3b09jyY8mZum02Eu9h4hqG1pDTkL27PhXgiIYsEF0VVtJFKwoYvynIc3ReswSSYxxtE83Y/m7ykiUQhutg63FIvE39nFr89xn6IAh0I41CRGNtvj3mB5CPqN1dqZkapMvn6CY3wVIBra0hHY5oG1h6dRCkHlFFI11GAxH5hFSePl8Uon9+KBD9VbZ393HyaH0yVCtxidTRe61vbNpjYPruwCArXMyfycHROUVodBUVc574yjgGBqTF2FTPsuixHwg1zPmlqjy5pai38U4umfrmBooyhLRByKpLWqNb3VKKPdX/swi4vw//v5vAADO1lsLvwEAgye2rjyGZiKu5/OWVmMZL3t70g913WDuGGvW7b+2JppJNCJE1NaIIRdRYMrkUO/Xhg41hRMJKOFcErtLi7XWkwQ9bSQ9C9GpQn4zJCYSShninFvNSfTXwmLWvJEVKPKh87mu25j2cMi0gjqHAuebxvLVIZIeWRwpPTFUZxSlkQgRdCtLDTsoZQ6k5FPUhUSgmc5nrGvY5tlNfOj7ntRyhnaX1GvQacv6zhZWNzf0WdSnfFKOfcYxSX0SgckYKxpCF810Ebrq/p0W+ABENePsiQRi3VcH59N6sFyNaW9juTYGFnRt93177yPKnXsEGYNYGjTS3dPMFOVnrLZ3CdVOXs+EJDSS6j0YWQkBD3oleo+i59YGB6aNMg8tQ1R17HqfsITofVyjsrjX1L/wq8E5kfRHSt7WfPKWoofoo/OR6M7lfa1zZ1bjYF9DY3SvZTHt5uoRY6LLzDvKWeyy/D2bzLCr72Z1U9aLH/qJHwUA7GuK04/9zZ+P3iTW3u7c5CM9XEKOx2YTPQ92sZGv5oHRvMc80VyCKnf3KTkinZZTmKeDosD83jlMdZ1t286dCPQ28b6DfEt57H/1bKmTdZz7kgyJTdOpMTWYgdx2iZ4HiHwWMYa6qkhc4TrX1NMTzDTMalXXVYYwukp028bmunnGjXU/YLw1MTcuAGA2ObH2TXflnd/SOtBbYmttI05L6uzMXYV/nru4BRIjsg6l3jxZ0/RUhcea6uaBzsU1JSs71lRVv/a/Csq8tbmF0cBIPLTqsubf+O1PAwC+MJ3BKxnwSLlt2H9sbz2nJwTMW2CiXhGrugZw3EynE8x0XzE1skztI/VqOjk+sXdOL5DhkFxN1CLJOM+GB7pXYD6fW9gbl/sYQ817YyHkRWlaoFp+CF//KN6U9MhzL7300ksvvfTSSy+99NJLL718DXn7Ic+np4n1OJilJTJvyi9EJCZq5ZrP5hHx09s12wnGingOd7bxGGNr1RIxUgvHM0+JBWpbGRNnn79qDI2h1FjnJ0kQxMTiLUZqjXr6+69ouXLJkcYq7B1N0OyKlWjyieel7GOpww/8wHdKWz4siJZDwNJygaXlFQzUejT9yhRh2aGmqW3yOh76xj8EAHjoWzUO7fcFTX70nNwzWZH6vXPtXZb+5stffhUAcKxxB+P3iLXqzpkVvP7qawCA+2QyXRZ24uoRsZbd/TpBD7C5iQHeBQCoNeb5jMZg3mXanPsBy4pyQ9Fkp/Gfd4eCjM9n4mIdnMcdjdO+c0euvXdG+vyOWqeOBw2WNfWOhmZjeLfFSgjGNrzkALe0JOPG4CS1ILaMrYl2qmjQ7FqjzILqXEwLQUSCFmeLb6TV3MVnsRwbvoxB8zEmSc2NB+rV8LlPfw4AcOvWoV7rLPa0nnYZwy3UMSH4NmZafSTjopPAEBNL/TIkSrDIngpLh0HLJFH5BiDTpqEh/DND2kJAZNVkX9CTgH1SgNiEWdSJbMwZd0jk3SXIhnwYOS6rEBKWVL1oKQQshYBT9YA4dcBpEJCKcYIxPrIbk1nPakut8N0/JPFApbJYMnaZ8Ve3Xr6FVSXFIwu6MS+r6fN4/8AQuZkizTNFV0+UHG9yzJRC3qyhrF19pOniFOmoZ7VZ82u13t+6Kl4wtBAXZWHvhkRj9AAoB0SgYx9bXC95DejRgmV2LD74HonzmkH026u/fgfLmGOIbhDazjds4fO/KpwRJzNa/DVGjrHyTYtj/fdUrdO0sFtcKdHcoohxwoxRoseIxbSX4Ls3dljtm2bW9dAIAsfpMxRVCURQ1drvgGnN+WQ5ruS/Lo5nQ5H1oY165zB2zdK2tQGkGrb0RySq07jwchBT/JCpdU5mfUuxoo9LEIt6op4TnBfJ/DU26znRR/mbqQPZprIoTUeYftPPgaZVLOBwdCjjVYn0LT6Q829N293M5sbYSjK7GI6bxHxn+sPN5R+Vxr1KOzlfE+ropDyLme0g2Rmi5vJfIhLmLb6yq9/T2+LtXd2a6uPYFNanW4pzPkHWLPCu83fotLNbsIXcph53D2ifNCbtqzfASQyZTNrZnSoxBt8Yq6OnEpHdWD8dY4WLaYMS/68HPRshxDQzWbx2ZFxu4/iwGFQWTy8d7ZMiQVwZk804fHMwCGhVD3NpWd8SLwvbR6Zs28YcrvNB12hfyD1VVSUej/L5mY9/VopTHTRcH9qcZo8Yqp9kFwFk32GvT/cctbWT8e4hQe274y0fCvBRNyyOhOQuU2XaX6pbK3XdWVuTdW5ycIKTw25cbxR65Sz+FrJ/dMYuvzMvE6LJcW7bvmfBzUL/YvrHojBvAZ+VR/0+Hm3a+Bhk6yH73sHHsck1iXHR6LLml8MRLj0u54Bzl8SDlUSkxycy1g6KI2xScRoPRJf13fhIhkOwL41BX+s3WldGbheiB4y2d1W9ap16xj37qc8CAJ5zBQZ6HpgyZWh3usENPC4/IWv85cHFTv/xInpADVdXsal8TswUkhOTVoMxVld3pO1XFQ3WNmxdEO6oS1eeRKWehPuafcMle1MgzinnktGaKT7jfIDDSBnL18bCS2PeKbwlsF9b2/rV9QSuWQJIg/M15O13eO5lQeqHSlz/OmHHRvDAUzJBP7MvG+qDM+Ly+/iTfxgA4NWdbuvsDla3RNndvi2D8kYpqbm2LshB2w1KnGg5jS4mTBo6Xhf3voc1tcy3fOsfxQnk4PsbvyflbW6LUq2NcKFN0ofIJxelal2UxkzJsdp6jqm6z06mMmK52Z0qMc1tt4dCJyvn8If3voQ1ZeXupZdeeumll1566aWXXnr5/0PedofnEEJEG7yzEMeyolWWsUVquTemxTkKhX2Z43eTSFajaZoO9uFpCddyjzXW9Ow5ZZJTxLg9PgGCWHJGT2us86ZaWRhf5T1KhcK3NsXC8ZHv/SAAgIDFweEhTjQ/GlGpa1eF4XvnMWG6I9oSoGaVAKwwjvH8DvCuR9EeyAHXh4DwvLDgPa25n3eVtY7MtIOKrIJD678jjcGoLK+eohrHEzQzOahONeZyqvGbL/2aHLSvbEny9a8AGGqc9o0DZV110re1MSVGRklapeeKqlRqCWPc1nA0MCsqGTOPTqSe40oO/Zvbazi6Lf1HNGUwHqB6fRntfTJ1N3BLSxL/RdcEg4G7Js42RPY/y9XIuNwkabAZ29gW2qxozaxinJWx7bZddDk1/3LMcAzMKumD5z/7ojxb6zkcVBZrYgzdCVMrALQlwFTIJU2HzJmc5GyUvmlj/BdrYzFdiV04s/STGZ7G73o2TdD7OVIx1Cek32WygGb4mPvURcS1c0uaxy+zMvoEMZFrHSrtp5po3v2AEE4Z8gy0pwj3AkLToCni+wMSFludH03d4omnxSPk3GMXO20iYrfP3O6zBm6N45jM0kQHNKZ998AYKSeKEvLao4NdAMDBy8q+P6psPvDd7e/Js1Ay7miO6UTz9BKhjIkOrU8K1SNrG6LfKia9VySW7Q1tMJSB6eP/zj/4RQDAf/4f/hlQ3gnxHnn2d74g9fv1/wOPvPoVvFf139bGDk5xCiDgQFlmLZUuY6YUOt3fO0ziefUaxtxbDCvbEmIOT53iZpVm5UJkqiZrsvLoomR8tLZx3gBzQqWGrso9f+ppsbxfvX4bnzvYk/IMDVCvCO3zpgnmnWIxkyX7tMv074oYx8hxW2p8WalGQ48Q17aa3jPaR7yHjLODEm0S/9jpDEPNPIbqMcH6TBTln6kXVlkwpykMVSULcFSccu90WuNznxLekCtPyDtnPtvLTwm767bGOU+PruP6C7JWkRE+R2jhXUSWdG0+e0UQidXHlFnWxTjhPGLXZTpcHpAjumwC2z9LWHnlx7kxpLMY7i8ccvZuQ+f4bLT2kJgarntLzJFcJF50D0aDHdI40gfrO/5LLuu217rCxS/iUpR4Xiw8NUPzDIXk19FbwLJFWOw1qxDbaddk3hr2xISbxuX9p2LLt3eY677h4IYwDc/VG2egOu6IHkFFkSC7+pnEiAMSq9kw4XTb4j2zGuv//BDDNnIOnCqpyvIS4B8S7hiimXde11y4MzHinymW4C3Xp9zXfOb/kvtXxHPnG84UOGU2Ee/wWuFxdyD3vPtoguruXfv90Ve+gm94VdpDvpo8rjncD8bnoVshE8tMoulalp0TtytIRpSOPICf9lTb8PCdhwAAipWi0j6evfoaLr9y8ka3Wz1fcw7XyxJ7D3U9u+J+TN97E+AW0OSow/Ri0wOWpzzjukm9J/iuCmPorjp/e++/Cit77HP3Rsck6hV6HgZnsb6lIrwjMq8zJSuAoFqMXj0haZ9VXn5IGtT1xKKn1rSdIShvRtnIW7qujN9HyiOycUnOL2H/CNdeFG8wxnpvXRFdfUmR8tXNDewolwC7IGZR6Fbv4MbLePFFWQsuXpKzzI56zBpKPZ/h1m1ZQ1++fVvLlfJuvyR732I6x3BEjg1NrZvRqTPOP4RcQwC5svXOYaapQ4/03DRQD2Pyf+TvHQCa+QxnsIKBe8/CEx4kb7vDcy+99NJLL7300ksvvfzLlvfManxw7/cxf13SY55mh2e3FDfKhWZCuauebzRyrpwuwevBF5a+Uw0y99VYEgJONQ3okl/Cu+4AG795HUtYwp3yTOfZK/UcK1r2Ejf4pyxfPkI4tcNzbt9ZWuoenp1bite+hcPzQxpC8Yh6JZatkMmeef0Owr17b3S71fM9p6d43/wuPukewe+defNpgHrp5e0ub7vDs1s5JQEhnG8sXsziPUl7qlKo1aEqC6jRApcvi/WDeez2bwhqU00O0Qw0blEtEptbYnkZKJJ4fE2tI0WJUGoOs8fVcpPlmmzmNUaK3Fx5SqzltVppaOXa2dnBhQti1bmt6NGhxrdeUUt9sJyNUQNST54Zj3G69i4ML0sZ0088C7RqYX1R6rrzAUFK9jX/3wlZbl88we6JtPOl58TitK2xmUTn1zdWsbG5DQBQYlVsPS1tWl2TvvnAtz0DAHgEwCOquX/8J35YylGUeq5W3JOjQ7RqnWSc5UxRlYleu6rsgBvrG2j0fa5p7PhkTVzF9/bEWjWoAsJZeWejStCzd7T3UTmHeS2L3b15g9PTU7E+tl0EgRLRg4j+MOCjUiTR6TvzqWU9i0WKMWLROl+V3djBWhFjsj0iibdmzBPjD0uNx+c9q2sjFBZ/c6L1UyhQF7LQBkPACzIDW1ylMvsaGl4jhyRCnExaPx9RX0PzumiG9z6BILK+yPpGPCi6lmBa/omeO4eFaxbirSzOpY0sp1qhJmPvDABaRTTJyAksA3BwGix/2t7HEgLWCg+v/RZGMhanE+ZnlLlTtENcfFLmNGOBaSWf1IKU7yoCUhZVBLkUOS2ZL1bn6nhjiO0tQbDpabI+UoTycfHsmCh7qXctTibi2UGE05CnJL/r0SGt0HLflPwPdYyhWl+T+85q+Aa8jiXGRSevtFFreaMoNcfmT/3P/zUAYO/gELfVenyyK3rl26/dxtrdBl/6ouZnvvAVvH60i5v/BDg+lDlMJnPGMzLGu2nqGNvZdmcsx4uzOD+g8F3G4GJIxBfWXj6D46JW9HaoyOeTl+WdPv/iddzQ/JXUDYMB2aPjnORY0pBfy1faJjFYrDnj8okkNMYuSm8QYKY8Bu1ZIoDofNbTFvVEEfuKHAV853qtPntyNLcbLY8wY50VwB8XDgXnu45jMmc3h+QN0XzhRYHKkfa3i1AyK0BReKxtag5zRfzGG0R2sty/gwrDTcaE5uz9Is5H7x4GTVMfG+LkEtbVJE42vcYnuZMt9pUxidHlRutSoRppbH1g3CbXbeqnubVlrr/VvptP2Bi1Cw9vLydHbTMk2mERYTNEJ/4dc792vZjoWVWYfokeI4a2ZrqibZqFzA0hz06BRKyL2edd1BbeJbqf6DFvDfZ9RKNzxJnFplAWEfasLyyWN6BQD4m1LfVyObsNAFjVGFJ3VfTxrRu33xhRLCIayRzu33j4ZayseNu7nZ52egOnS8CpHjiXjfFf1hRmGfFFiSWv3BB6bXFGUOX7rcDC7b37Vp/7d3WfcvIlYGkJ+4panyqCvOxd9P6w02m3XgJI64FYP0/1cM/68l7nogcFr7FkJV9FlvTwvWR/L9n3+s/k8Nwt9xRLkMQqp/imO3N8MT08R/cIALK22nQP2R7OuGNSEDre/576Dt776gTvuNdi5Qx10Qp8oRllFLlf0QwzS7ofcMtLWFZ+H7ckn0vZxjHcv29GlOIMWbZ1DjkaV9gnp8YOwnnGzDDe8zk+vpvYqfLBV6Z/OziEU45JGRjFQ2dw9x0VNr/5Mcy+bh0IDof74pk5V3btghkqZvJ5NJFzx8HRcWTH1/POzkXZkzz5wfcDAEZVZYdC45BJPDJZLwAoByOsj0S/D4c6B02F0UusxIA8JpqXvVCvRnoB37hxHTuX5Yy1XmhaDPZjknWn84D02yxmXNonC/beS+L59Mkv/LK0V89Rq7p2vfjCSxidlfPixa0tDM88jK//+n9Nkee19QL+UR5GWiMIs0TzvqvIo3tZi80deYHtQDaKe/8ve28bJMlxnok9lZVdU1PT09vbOxgMBoPlcrHcWa3AJQVBPIoH8UiKFhEMnk6WZFm+0AelUyjsCIUdVtiOcDh85x8ORyjiQnb45PDZJzt4X7bMOytoiuKJNAxC4IcgHARB4GK5u1osBoPBYDA729vT21NTU52d5R/5vm9mVS+kBSWKoNgZsdvT1fWRmZWf7/O8z7vtFnpqlV5WOxWJ/Iz8eVdpoZhfcw3Q8kIPCXofcS80IV/dkjrsC5fcII3hLpbJcX+bFt2KyHVLK0RdG5SyqF2jcx/76cdcfoQiymI0gBuAKt/BoIAqxvL7HUW72NxC8azbCJe0wdTPuzKsvM9RJzKizS132vjRJVoI//KvuHwtEoWPOsB2VeBc5M65RwLN/Pnp333g+90fD9z1JXeVxvQ5JLGiXezh6a87obUXnnY0D/XSNpQuYSu3eUYVwRiLsjSyKJD9qjCAphcJsl6nTakugjBZqr4Q5HbHC2IT0HCC1Rk96g6UuICJE55rGhvI3lIPpW4uHGqXwFofMku0+Omr5E8EynzYE37WUITIaMGYaBlUeWFeyIbHV2Rzkyv0J/rONoRSa+lnflHEF7FlTHkaeCMEUcnVGYRykM19g77I+bPG+qqg21bWoLITWQBUUYUqqlAqJUJ/ij5ZAGaXFtyra6ewsur6PY9GEjqIHv7BR53xa6nbE8NLxhSxhA0xtPmKu2gT5bmktl2ANuxjChFF73Rrewv5xat0bl0gSWhqUOguuUVku+sKvNJo4wo+HFM5JZDG7itsJFJ+U9pmg4T77Ky45+RQKEp3zmqX9BBevYH5/BAY80R4BXsL83j+WIqC9Qx2eZMKqhPmXXuNAwkzw5tm4YwFRiwe83lzlvF3Xz9+b1UX5rIZG1+Izp1m0IryRRcxnf7zX3SU9Hw4whK11xH1JyO0VDLqWsgsytRfppdzX7KBQU+ElpK64YnbbDEsUQx4rktqv0kqWEjMCy3xYohDffGztTWwRO/PeeNA4UCWqO2XRN/uDwbQ5ErBYU/8b+4eUAnOPeQWGxndp911+UkzsWK4+68sSd1O7XnDwaQxRmfcz4LkQxDWx002bJ0859polibSj6YsqCycVpYwfX4n9ZPYWCKCX9bK2LhE64DpMgCZrYeA45N4wxc+h2mQnPfOEofEC11J6maVMLRKWDSdBIam+qN9f0kUkNTbZJIG/YoSGw44NE1ImQYCCnRgMfJtW9U/td+ctjv1uZSTCvqzhGPs1EX2wnbDfWZnkzRaaK7bocX47o6japZFWTOmhGXwXFQrBtMsP4KdWOjEbXBYYFJ2NxX8JpQ2NnFcN1YpFYl7UCUNhDZObKGMAGtog6ncsxZpg93uurnhiIzoqCJE9NCJnVA2qlq9+SOAovxwJpj+bS1v1MKNYiTFcvf3m+pGyRHxX7KrnN5yR42/fK78tnpxMoGF31SJMUioy28yNgTJjZ31Y/eNbuNj27tSTk11lUwmaNF4zJtnpRxbQPFGVinEtJHmMkyo3o5IyLbICxzRfY6YAk/1yBt13pTHUQQQRZ8tunx/FuGN4hgxtYuIjnmDEdUfh21VFebmXbvodE8AANJWChTA+GvPY/vvfBwvKYVSXG3cuLlH7gy75OaQLLn9QLetsLdJbqlUjzvkEsn05s6Zs37t2KQ2y7KU1pOwSJKG0bEpVKs02rQf65BRVBsK/bW6QmXr4BSF8U05ZtvUAp6/+cmwuTL1G2wgI5r2KTKwXdxwrrKr9P0k/b7bH+DkBWdAOLO0jLm3sCVuTi+zNEuzNEuzNEuzNEuzNEuzNEtv23R2OELUpKF/NyRr0bl05dudi+/q9E0hz+vr6zGA/w/AxpUrVz5Jxz4O4NcAnAawCeA/v3Llyufe6r3Hk1JicRRQSMgSQSi7UGE9VYktVxrbpNC8RcJXIwoHNiVCaQAAIABJREFUtHaKkJMiR5/ETU6uOZS2TSjBkES82OHfdFfQeYRCU7HFVMSYyNJuFZaI67xBYliblzcAAF2iACbtNvauOutOwgG7OcRN3yHjbFXf6w8RXX8FnZsDrK7eS+WrMLETCc+w9CMfwCZRJjUJAjASvXqOLEznHTWx123j7HFn0RmRnaQgxGlw4K69fPkqih5RL0jenenumur4Wu7q7Gcf/EFw+tLv/M8AgEf+9k8DABZxl5HF3yQFODsAICMCzAruxS+cdwyAf/mMQ54PKmBchRaxCNVkAmtNELamYbmm+1obiJswvYXRUbHyewpmE/FktwFBjJWeCnciVFTtLe5sxc9YVKhNSC9b6hmpSJMAja4jV9zuyqIU4TEWCONys1CYt+KqwIrHVD+BdOV/7kdeG4Yt69TmjT+HqySROqlbk5NEw4ARRRY/Ijo5WfthlCCQIs4u1mjOV4jK1y2R8kwBmZQgRE0tHMUAQhQhiiJsDkbYuez6zIUPfBAApB9bokufv3AKHXpHgkDTIMRhhXhQKsoCRe6u63RWqXgun3tEqYbpwxLde6vvxoozHTcGvedd3+POeeV3AQBd08bzxGzYJotwljZprwZlQyDM0z8ZwVJI2CWBKKdDsjwL/mwCtLTxHhmFBFm0P/How/gA5euzOzSmpRqtiZb+a6sx4shguLcryDWH2WNc0rLwXV4I64ZdEzjkhQhrifXbeuolZbAkWtrIMvIZImAusWhMl8LlbV5y4/yoMFgla/cOWepPEaW9R/FsiiRDTjfaLEgYkepIxsjEC16x64UPw0R1zIZ8rYN+yv2WmTJE/0y1Fy7ktk5oKI9JxjCbw0AzS6ABYTPC3s8LLAnNjuq40W66HY6YkGNA7b8Zuo5RDaUBlXAImHqbnA5blARuGk3mgy+i/Gbq456EY1II4NTaI+TcRFBMBTTCu+AOz25EvPKsnuYDwmc1KYS+CB6JFSZhHUYLxXaEOil1y588EIZ5rWdMbtukI/mcBGit70O28RunRBBe7ULbwbuV8JykGnOh1p4JxOwIjebYoXxITy5fk6ElYdH8dd71od4HtAYsrf02r24CAK5TaD6ugTYJbbbbmUfoud7rXkmANeK6lw9zFMWRoMGRUhgrhVtMpUYFRb8dtR0SOCb08oD9j40FuTMjjl255hacH3MUux/Kg0Mcm1i0gvBxY6JvG/rUsYJRCv1WjEmTgs3or4eMPeVXM2pOKDL18QlT0X1Vig+1kvt5NgfT0Pm+iwvuHU4WXf9PSfjrtqnwRuLGRCv8bZexE8agZYlBKQ7akRsnxBOD0Us/n/l31XBjbCCe4aHFiQEiT3lmpJzp5XSw9inUc1Til35EbevwkBDnwnEgVRzQ0wnVPqJzcEDj6jwh0EkKPWHEmecCblM0zkdKEOYWvTNNdHAWlpubd+1u6Z77sJBReyMkfG/nBgDn1njr5ev4P5/7Q6yunXbnZ8yRIzSYXNLSrnfZSkjkVMSB99zantHqTpbK2pnDPflwVjxOk7Do2hIunHLP5n41IHFmhGNPczzisIA0r+3ujdBbdX93O9QPGu4v4TA41Rwac4G1fkzgeXr3GrmVXSBmYeZ/TzNm/iTQVQw0xPfeLH2ztO1/AOCHAGwAwPr6+rsA/N8A/gMAnwPw4wA+vb6+/q4rV6689k0+Y5ZmaZZmaZZmaZZmaZZm6a8s3Upa+CzRSi2sGIqWyeBWkE5An8NullYMGxJHnTbzipSC8/4Qf/vVPSwf1XV7pp4918Lv3L/sY903/PsDy6c3zrDbFbv1lA1jOuA3GaLdU7f4lMZIJBK+79KaM6ydPEUUW3Zv2tzD5UO6d+M+P3mzj5WSHfBmaZb+eqa3vHleX1//CICfgNssc/p5AF++cuXKZ+j7p9fX138BwC/DbbTvOt3q59ihAakoShEEM9ThO9SZxQrKwkmJlpjBJXH92XJ69dIGfQeWCGVdIZGJgkR/ZLApCOH9+AWk5IvEAxBbt9/7kEOkn7voQ3GwFblgZ3iy1Pd6y1j6oEO3JMQVW8lDAQ44n7N7X9pEphQiHuAqi1jH4NhanZUVrP2Yc+7f/pQD9nVGFpzPPOXuQwPgtaUlPMfS7FS/4h9Fx9tpG30K4G6sq/c2WbByMs+fJPTqq1//XSSEHOaJK+dzf+D8kd//gx8DAAwBfP6PvgDAi4mhQ6IxIsJCgzW8tL8IQfXdO8zazADoYoUED0oSMBoNB0gPcoAG6KqqoLXz2y3ZIk7lvVP0A9tAdlk8KhV0RXnfS9RvJL5UgfYFC/ukLHQjVn5mKhgJN8MTjQcmAnSFr2U/VQ6rQ0BnQX8YY8R6p8XnilGgOjvCGusnTUY22oywe3RDN614ohXD9WDEBMnXleJ/Wx9GrLXiqct9xovDsI+ctyH6/kDlblgSHTrFKxP3wf6VinxuTB6EKWIXMxUhUhFszfQc40c+8UE89gmnO3Dm+94HAHjmq87P9TeefBYAsDoY4OLzLlTbxUvMSqn7eJfyPiw6ZOVd3nSo8jaJd+wRytzf2UZJMOYWCer9w1/+JXejA6JfXXJ9yfZOw5CvaU5IoBXU0L3XPM/RJ6sxL5hEnIjUrc4/dB4ZiZJdfMGFlCjJn5ZDVextu77lYmiw5bY+Tl2l8aG7s4Ffea9bRD16mpD61+9H59YQr/7pqwCA1lwEmAqmKGTsTpm4w375pW/HzKBgRpGMT4KeU/aslfyJaEzJ5Q7Qt0CcDwBOLtN7IZEsm5NYW1mgbVgkjnxPaSw6SXPK3ggoqL65HY9YfEvCACWwhFSn7Ubn4Xpk1LBEsCCmU8CfXgCKj5ZDDodF7A1mfDByDxUI8dV9O30ol1J8samryP3Et43eUzvLpL8XsoimeYJ8xJRW8q4sC+nJOFBHS621KEse3xpIqiQ/PnH7mAqNEvhFy0jTFBALoAl5gvb5CMuZKBUIIt75HA982CklY0m8ZwjvI4g2zzGeocRlEd2WpF4GaSfWs0A8wByycOp5sKwL0PwpmFMatRTMj9yndMDSauS9cS6QBIwQ/q3pz6yD93eHTCNEl6cZCc38WmvlYdz+mVXi/ZrvhNxz3TDLyY9t3KcRRe5fFfjqVlVNNNPnrj5Reh0HFcy97rNP658OCTGmWRuxvoXYKPHRZf9gRpfN2KBUEYrCP5T7K+tndFbcGri31JHnFzSO8iaa352R0EZ90X/g+9nGejRNtIhEFeyXX2N0eEaKVtNtajoF6K/iKuM1BB/mOvYirc1UE92TC/ncCEDk1cVRwSiF2+15JMQc4DGx1XKfrAeXHx6iIMR/Qn7GY5oDokXHGmglkZTDErXg0B64fM3X19Z2PEFESo3sD20ZpB7cptxG0k5jTQj0vGvHEY2nZy+sAwBWHzyN7Vfd/Hz1D5+Fnkwwl7oytWIFHQNnzp1Hm+Z7xeFnrVubD2idoYiRu7TUw9ppx4wb8V6JXngRGE3atNZIeF7lc0gHh9c96Ftck/nQ/dYmBl+P1kPaeJ0Qv95z31lboYD17BuvGlerWwnVFWj4KN906imwFLGg7qmzbt2S0f6Mj3e7KUYc2rTTQfUWPJnf0uZ5fX19GcD/BuDHAPynwU/fC+DrjdMvAXjPW7n/LH1npOf7LXzu1UXcKDRWFoAffsDi/d/uTM3SLM3SLM3SLM3SLM3Sd226NZfgqfVTEgWFjVRpWjd4DAZDEU9lwx2HHhODQia7fjGKDMkowgKiom9q/Ead3fLYZadPLgIKKnDToHO7bkOnaNP6wR/+AABg7SMfx3Uy4O//8Qs4MTr4Jmtklr4V6a43z+vr6wrAvwDw61euXPmT9fX18OdFAM03mwNov9UMHRVj7G4S+pgopER9EdXUhvQoN/KiDBqoJRROFMzZumJxZs3dLyW/6gGj0myZJDW27iPnBGISuwlb4SgP59ZWRPk0TdhC7+7PfmtmMAgQCIZeGkqwJQc5L4C9m8CtAUZvOMSqmoxxMLiFnd8jJeyiAMi/UvFgwOWksDiKypQ82g1CfLFlnC3N5ANZGiyRTyejghkptyaEdu+S0uru3gBf//JL+Or8o+D06gj41KUI+thXcWFVo/vgafQ3CaljwxWrsipGl2hQgwII/WHl8b3ClW2w7T6z06fwxSecr/PenvOzPH/7ADovAFI5bM3P40R7DqdOLUs5vVBzHU0L7eCsWC0+GXRKfziE2nbPGpDVrtdm1Jbryttd5ZkcPilhJJvqPAlQlZByBQiCXND3ne0dgOpCQrYw64CQd2c8c9eVHpqT/ISFsoFdmH1X2hmhl9TuBsMR+lRO9mcpBpRhDo0EICMf2JTCiYXWQMD7okIpmCVCtwTZAeWXwqmN9pD2XDlzRlnJAjgaDWr3tdZiOHT9IePqb7PiMqkh9wvkfeqL9Fu6kGBOVVJXS0vLWOgsYu3RD6BNDJSLf+LQ3suXXRt7/0cepmIr9Pc2AADnTrvwBhevOSvwJoVrAtWfzjJBnk+SAvbIkO8PjyFKy0AilmK48QovPAkAeGnTKfY/+8IuLm0TMkzIM7MG2EJc5qUwE9Cg93Eby/e2pd3t7lDIrGWHII4Y0Q4YhMIXaPgbrZKV9vlL1/G8Jetz1030xxfbWCgNjt9/DwDg4OYtRBH57VLZWb3b8EIlD9qGzEC+7dTrjfsWgq5bRzMZ8VWJD7nG1u5zq668vHB6xjUjPJQlWKEoDHb1tKuTrzk/eNbOMIlGnxZTrLbNVZPyIinREpaMQxoNKSQHV6ewQ7SREFKSuLsab/nnMYvHJ+8La2vHoRRyehazXriuNSvrD3IZ1xhx4pBoJYXxSkm1PGu3hZ7Kddsn9ILHtk6vh7WTDvlqZ51aftiqz+hUb6nnw1cxTNBwuq2FMWLdB/bdC1gr3r/ayjF3X0Zx6TmpnkJpbQM9y4tC2gn7+arS1ymCq23gHG0b9/VIrS8DE4BEUVuYFAGLRvLukfDwfirMszy7gYgEeeHlzjREHmwWGiiwsvV8uXpsotsNJkWAADbFq314Qch933xxKQsWyreRNupn6ea8pqbmcImkxXUhOhgamtX1m2rb3inbh4JrxYiN8pAkFLSOpe3C2lpUAsC3Nw7BZkdG1mPMmhMGCc1v0Am0jhDHkaxjJ2PnYDkuSSU6SdBKU6Tt1KHPYaIJPCFFfd3tyjpC1h6Mxot/Ko+1BiDmXz7k6Ad1x3+llVwvqGPorI+QuahkbelRQvdZWR8thvHgCAQ+N/QHhH2gPLPAh1VrvLPGn7XUEA0L8e2Sx3AaK/d23SQwKkqkFNJImBS8VpfoI/5dW0JrZTPNYQsV93UPje9t8blUJOPriN8qA7ijIY/H7tlPUbteLnNsk1//8miEMj9EHLt5dy5pI44T9DodlMQ6KFgrqqy3m5xcDHZNKW2RNQqYycZJp5kgzzKXSmhX/qDjRYndwq2JuL9lFFGIxwMLDaXqezcdhtADcHnjGlZPn3I3X7rzltEj0AH9gMew5to3YFIaquRrV92epEusYWZxXXr2WZwkFvLZbs8p3N8l+Hz3GDXwXwIorly58o/u8NsBgGZ8iQzA7bdw/1n6DkjfSL5n+mAU4f+9MvNxmaVZmqVZmqVZmqVZmqVZmqW/vumt0LZ/FsDq+vr6gL5nALC+vv5jAP4nAA83zj8P4Nm3mqHJQSnWxqIALPnbsZXGLLOasvsuvh3WoBiQJT2RHwF4C2+mNdaW2dfZWXQUKeeyz1m2TEj31hZG15y1gkUULPuKEOKkSiMoMvPm+yOy1HOGy3LqesWWSDbdsQKrsVjc2IUpSh9fr7I4TBP0N69TPhXYpquyOiJhyVJUPOP8G/VyhsGqswTlfcozo0Haow0XN5zf93NfI//l8y6m9E/93E+6a0QxtY3RXAcw06EBdkbA0oPvxdVXL+LUeacizGj+kBR12fKHnK1dVqgwEvOSRDrYd3y0N8SFj7j8XN8m0YqNTbSHB9DK+9RUxzKsnVoS+JjrwrvasbVbCzIiSsNgP1xXJxvXruE6Wao6VE898hWRLhPEJzQe3qdzGtZaFSCw9KycrIwjqpvOkrP47vb7WAHFqFuhOKx8f1GhNGK5Ldn6xmrZ4kMd5kHVyqcoDv0l8ve/vHENKmcVevZtZMdSn++mb7O4djLyTAdSrcW6mIs6PtexS088/ji6pAI5pFi/rCydsFok3WNvOMCIrKoJW3mZFiUWd41khevHPaN9LEMWex+jrL0I0zmGo04PG9ubAIDPffqzAIAR+f6y608+ytEhxfyLz7nfBn1nsS8pv2GcUmtd/3wqfxwAcPb0SQDA8tqa5FPyRb71fD9sERxKWg9714fYoFHWNlDlO/lfNg2vzADY2RrIOayqOyCre+BMSfdQ8nJsw1eXzx2WJTbIz3rzkkPJH+7No9q/jWPH5gEAlRnjqLOArJdCsaI0j3/ENCCXLCirUeSMdHBcVqbL1f3LNVTQT3l8JwZLcC63L/aH7JDKNvttZcS40e0EV/fc30tn3Xi18j7Xxraec31/c5hjj/pnKQr61IdSRi5TGbvyXWZv1BFjK1TAwM+Q8tlURjZlKehdypZ/9hsWpM2jN9z+C/KPTqkee0QpTBKFNqHStoEQ8RzACFfaVoH/vHvYaNSvfaZpJsr0XMec+L6joauHNMtEYEjOaSguO1dRVTvGY8WQELLhqIMip/do62Mrj6ddQuMSrWBVHe0WhIDK9Mi5h5GT/9721rbk/s7JSvvn8jF2xOO+MSbQhmgga3SX3T4pupfL0r8M/ZoljOovBeWvl9P799XHA0D5AWAqznvARAkAvvCcsJiSBLUkJhC9h8GA6nhpWd6ZRD9RzJwAPbNEQnP4qub2W9cRYeCy3esgo3a7dmqZC9ooi5ka+7xvNn/3c6GlZ+UU4aAoiWVCVJusnWAlc3P68cMCnZFGVPk4xaadYe0kz/k+r5Ij6v9tYoPt5gNkNF8wa2NE80QmoWIMzNHYKVqThLOeixEBWFh042d5OIadWOzu7ArbQuJ/E1y2c8212c2L1/07bwiFNWN9KxWivvV6lC5p/I8pPXNILJwNoswMl6mNFgWybh3llqrJcyTB2gwAWkkLaZZKPn3yk4xtaB2IvszUuf5YhApRGFm6sqgqizwvUVD0A9GOKZkJQHVSAnlBuiENRgsz7nory14xoKFnMBo0NEfSRPLFrFJOWvn2LPsAEW5jzQz32Sc1+c8MR/jgw25uetfaCXT2RziMmGGTYC6bA1AipTnNSCQTHp+o/xLTKM81DI17UykU4Wgwz3gc4fEpFQaUcmtuQCjyzXmtNCUsK3BTv2BtqtMXXNk+/uM/Jsyw4WBXsuHux/Xm17A+wpINb+uv0X4eO/uwi9TzDx/5H6neaF1A/feh914AiBlbDHO3ZtlpttE7p7vePF+5cuVc+H19ff1TdPyT6+vr5wD86vr6+k8B+G04te0PAfhP7vb+s/SdkVa7Ght70yjz2lKTeDBLszRL30xaKUr8/aMc91cTbCHG76gUz37TgRFmaZZmaZZmaZZmaZZm6S8r/aWsyK5cuXKZEOhfgxMUewXAT1y5cuXqW71X3AKyJba0GeHF54K8kBW/oZJZlqUgExzblH0dBoQCP3zuHNpkVBiQdUd8nuj5w4vO93H49FcCoxgji/xh/eEgnhn9QR+EhqRJaIYJb+PRc1Z5biuohQNEUexj0qkI0UKKlHyxoTU49qZlZIPj27ISIvnhDLptXLvmELFij3zjUkZ2yFKUpXj8c44gkJIv9W982l1zetmhZo/85IcAAJdG1/CeE/PY2IsRKilGAH7xb7wTa5hD+cAZFIfOYluQ1bdH9a+WV6kayGckiFUr6tCWlfhIFX3VoN1zed3hepxTQBKBwilCRTHmFltoL6dihvIhAtli5eucfa5DPxTAI6ehuqsYHQ37qRNyxWhmkkwpA0scz4R9lq23kpMV/tp1Zz3Or7v7vffh0wCA/nCE7UsOHXzv+529qkOWsZoiKf1pAhud+9/UznUf9fI1EZ7SWGj2NWn4SosvmjWwjT7nY11zprR85/7J7cwrc7tU5Dk2yXLLqGOvze+l4YuVagzIn7kg/6A0pZjL3Oe1lvyIquhRiXE5RptiJd4+OMAgVtjf3Mb2nmvj22TFTxvAU5qm0j4GO+59sMCH+GSKL5AS8/2Z5VOuLGShZ6XjYlRIuZYJgd2ksvzm//okAKA/KvHuFPh7vVjy8SAm+I/tAf4HZHgWLd8Gwpi1TaVghKIndZTsDsA1XTpt1ecj7B81NApP77k8G7LgvuONPqpRjgmzBdptRLFDGUqy6nP7yMi31hJibEsl9cMvQBTq6b2ORtTGDJC06wgWi0Un5MuXJN5/i+cJZj6cWXXvY0AaC5c2dlAYhxQRpokNQmCf6zPiaYV5wmyfnN4hk5uKohQVfPHZZVV6CRfDg5Ge0uwQtkCAXCbSTRvQP6N9Qf9I2J+aHdLoGvZVbqeZICQbG8Pas7T4ZBNyPgJK/o36F/rkh/+0u/bq5R288IwTsemwz2hD8dtH9Dbi+9YcIzgpFbRJFukRIMv9crG/i61LbinB1cd9k1kr4haeF7CW0EZV99/mPvD+T/44djfd/P/CV5zKfpvU2CWbYT9j3/OGPz6/Z62VCA2VAcvAlcGlzYsu/8XenjCJTj/kxvxHP+rkNj//rx1rxZY52Hl6Kj8crSCIs8xItqgyoz6Gu1ir9XrXDbjG5ZeRyfr4y2jVxiU3ZvY7e2h327XrOV67LHVKC5A+QpoG82qtKDQvlaVnL0m11+eWEIe29UzLvCYq8tZAEdq4eclFQ8lJtyVl1LC/J/HKzdERJmUJy8izneBIRRgO2DfYzynG1vsvrx263UxeVkFtkvtXzoggEkSxRqQmaFH8Xz0ZA4hwSNdg4vygu/d0MKR+OyIGgCCgjOQrLTXjncXrc3zNdVzU5znv9UZqYH3eqUNxuYc07m9RvNwsS6ciI0hoeK2gjVepBoA4iqCVwlSQroBZ8aYzUNAXRV8gcfmqwH7VpFZeGozVGKNhMbVel3UQxzZPfTxwXn+yDzC3KZuXGBFymlMUH66j5h6kGOaBGHh93WlCZXl5KLMha1UhWkM7WwM8n2wAAN5VHEEdlZjvHQcATMoS1bjC1avXsEo6Jj3SLkppPtp82l1b0ljSzRKUaCDPzcDvwYqSxxE/GvC74vVk8O4bzJ2SmIzXr17C9nW3ftolBosh5Pni5UsAgEwbaBpzhnT9qdVT7jdilbGGlC1DFR+XbKML5PkQWxtuXTfsubrpkh83948dybeGGrhz+6Mh5qo5ZHgAd5O+6c3zlStXPtn4/gUAX/hm78fp1IUVLFK4qLIWssHV0AqFPRL6Eh3v9lKceT9RCGgzKvoR9Hlm7TRGT1NoqoF7oYYEA3iBKDWSJlCa6W71SZMXH0i0UGoULUAsbQTYIb0/GEo+uhRiIOWJh6kcPIYpDXzlReDWPpI5R+OZRBXUiS4GD7uNVJJomQg906JBe6Ovo1GBFRJGSogNJf2V6m9zew+rJGD02M98HACwQ4ve3/vMkwCAlYfW6P4lbr3yZZxvLeGV8TtwiAV09BHOzO/ixRdexosvAEmaSbgDprdz2B2Z/Kwvt1DYjO+yro6JUliWGFG4nx0SDPvhSY5yUoBi1qOqIgxLYCffk3IJta7BqLbWemqOUJLpN15MAtMsPplg6Bx674kOVn+yeHbtpp35dsj54EXLgGiQOQmkPUEhkrqdFCXlby+n0GHLvAl3H6VpbpmnFxQyQVrrB2dZ5Ca1c1AWQnPJ0iy8DXJyQyhzK2Ve6rh2zLQqeWfwgyon09jYqWCwlsWotOfmu/OGFb/pqLcTFdAYSwnPRYvTL34NnVu3sfmqaz/joo8bw1t44rd/W/KTNhbCnh7kB2kpp63XMUI6osTbdJ87O6yuye3ZL3R291x+nqKFe+e0m/TK7SE+pkt4mRVfcz9aFXi2ioKGrNCsERHOkeNWvjXDzjSYsqiJHjXoUFw2Yy12yOUipUXG4UGB4vAI87T5KE2JI1Oiv9P3ky/fmjeZvPA3CjrjOuWNpvvK19JQDgsltDtL4wn3YzuizUM6PfE/e9lR7ndJgPA5cte5urGL9z7sPI144/PMs25u6O+5+y8td5C164yajCmA1B7zovChDNM6zTKnzTj3m7SdCv27uWaR8SRN/bxF+eKwbM24rzpRPuxHQ5gqpCFKOB3qF0XOBkBeDNHGrxh5AyzTtunZW0IFLHH6DIUhEXo0l0LV8wk9FYYukRU2H1eB2FS9UlSwURmN2LjKx6ge6VldFojKlDeiydhP+aFN3KXfe1zew8nTK1ReLkG9/sJeo5t+DMHmw8jcxmNr3RgkXWCYC23xPInXrNB6YJWMaqXx9dAcP70hNFiM27q7im2UAVD+7/pSJqDGKn8DAQDq4560S1Mip/HNu3rU12PGlEgDqqrLX70ueIDR8DR19gTQDeuDsdYbZ7icskHhBk7GJat9iDQOvbZL4U/ZqJukEuKuFVnoyIKWExhbC2sn2NsdSTbZ6G3o3QzJONXnDRUMzp9y4IAAMlyWoP7spIK1FcyYjHskoli45R4Wu20k83Po9DrI8/o454XmuP6UH0h4fqRnLd+zjAcfeAfa2QIODnNce/UV7Oy+TvWF2rkmqGM+JstgKkufxgy+tiyMjMeaxu525g0+FNwJqNj9sKLNL/gXLoR8CIjB6xRZF0uBJV866Hsusph7jplYjE2FIi/q9RRUnOjeKSVzUZbwWp9uK0bvXMYzXl8kaYIPnV/EL314GaeX53B9t8SnvnwTT16+LeOHGEOlf7hPY4Py0VrLi7BxNrn/aeR0v73DAXBUYbxPBtCowmGukaolEQO1tF9hIVPeeOqg3xoCtBgEUmQIKGvKoWwoqu8zWPhLQkWGu9jGmoHnht7yKoZ7DVG7jIVvuYMACU30y/QeOIyVYjq48fOmPJc52ABgAAAgAElEQVRjmvJ2TJaTSqzbexQydGenOWYzyOTdEa2x6Mwt4oEHvsWb51n67k1L8R7alVuMLpPf6jchrD5LszRLjbQcTesJAMDam2PGszRLszRLszRLAIDlE0v4/vPvlu/H2ot4+Nz34o8mBm/cvPFtzNlfj/Sh84v473/2HfL9e9dS/Nq/v4r/4v96DV++/CY+xbP01y697TbP5QgSzkMH/7P1yZR1a6bYY00CReIz2tavsUQ9GQ0KdM8SikpCMj6MCFv3iMoTwGdG6AtkQWRjn/I5EQSVrXl0vN/OAEO0uC5VN4UKEmsP0XLykcY9+4cwt49wYmERAHA0maBAjOevOgtKN7VCaWQOjKBlTSqW1mJla4CjPnzXKMfaaVcnvVWGp50V6BnlKE/PfPEpAED79Cr2SNQpJUuR6ZBlckhCWNtbXkhFqGxF7Tsjg2VZBiZItpbXaccudAu9o4QoRbFCHCsJLaEiJxlhYb14VxOBCeqkGe6EU12MpYGUcliRBvhoYKUXMfJaKKL5cGgD5ambnJ+kQ0yKCw7F8cBqiYxuuJVvAgA2XrhGt/H0qLKBSDTfPVs+S2M9nUoxKlJHeMP6kbsKXTVAOgW8ILGUhMK+SXgbQg8UhBLHNazRRL0DRLxBKfT2ZffALM2E2s3ZYRRC0DOtpZz821yWoXU4xo3XKC5jEmN0NEY5zIWqyqJJHGrO9xNfNx5V4vw1UJxEC4Iz6Duj0iaFtWJRpZWTK0hobFleIzbIkhuDirYzQOXtPna2X8bJshnPCHjVRiiPjLwoa0MUv9535PsUJyXI9FRS/qwGksgoTqedYenCKQDA6TMOZZn/148jVRWOhi6wwlFxgGF+gGIu9iE+iL8ozA75boVCx/A0j9W2geKGbVXAd+5TzI9EndkAAJubDuXftHu1si0tpVPuBxk9c0jtqMhLdElgkm872qWwaiNP1eY5hOl8SeLeK4fCKalzp90UbRK+ayKBnIwpfZgjeihTJ9nlhtu3VUr6LUfVEWRIe9SAa2dphcYaHmyo7TNDRsEIuuKrmzsVfU01uh0WX7pzGUK2uYzndEg1GqRxDdk9Qvm+HGQPUEDWEMOShzZp8LASOkvAuIZgkF7qifuHoXah/GDkPjj0FRpIFeBdx4T9ooJ5yyNpwUcQMghQievvm884tlH/K9SWqF6TNMMUr4TrSELAUPHLMuiudXckfhHFKA/oz+4YI/kq8XOhZyvwhFEXRhT3izQRV7Paewye6VgEdQSRz+H3wC4VKs2kn/PIx202lWcr73bEeW5y49mtxgCGzuE2JWs2QRGNIOExIihEiGJHpS6OxphMIkFSh8MCBa1vNLmePPyYi8X70Bm3djoWn8bt15bQTu9Bf/ga/uSlz+PKy+79huudshxjPDaIibYdsbGU1jKj/dvYPyywFeugI9XLWUq/aJJlXZ88/cApNFMURXjwgVN4/Y03psccER2zQRugMZHa27DRHq013lVEGjtd24qgTASlItgJk6rd+kw1umuNZc7CvrwmbyDHClb6Ka/Jq6qSfwAQVRVUZWGN8cBkY56ECODqwM2gTij3a1gvVMdt9Jc+vIxmUirCL/zQEr56dYvqpzFeBetccaGi0LJeCbJ5roWm0KjlwQTjQ4tbhRu3jh2bw5EZA1ASdpLjTp5dI/o20bg3KOxoe6mDtZOOabO74/Kpl92Ys0QhppROkdF6hEn2fZ6TPc0k/KglZsEwy3Hl5GkoehG91PWHPaLBLxM1+6HTDyGbZzc8l0o/wtF9rf/Gz+f6MvXvvaUVdIlx690PeUSp593Cz6H97T3MSZv+89PbbvM8S7M0S7P03ZoeP7aET97Yqq1vbAX8tonf9JpZmqVZmqVZ+vak1vg+xMP3oEv2hOXuO/HRh/8jlEe/gZe3//ivPD+L7YU7H1+YsQP/MtLp5bk7Hn/n8t1vvL7V6fjNfTz4p5uYL45wOifjbTtFQgai4f4tAED8ago9sTi5tw/birF04iUcazvgLqKNa3Z45O55+wCAi+MNAOMqQufM/Rg+9C5g/eRfXeHeJultt3kebOV4neTxlVKCgLHhoL3GFn+21pBVeWSwd5VQgYyQTjGGkt/A9ctYJmsMoyKGfFbYv5LPNaac8qH0xlUvTFEwesz+bWTGYISt11tBShbl7eskw04WJxZ7YXGQPAf0pEJsK0Qk9W9thUlUISe/326vIz6ww0EQMgshWkbWVlOiAcQKUsd+FlmaorfsrFEcWoER+zYhYy88fREAcD6x4r+4SYIrILGedpcsZLkX//Bu5PLw2v210h7VM+zTVhdKsbDeZ4+uj2zk/pHRVsVADOWCt7OvSUM3I0QWpgSpmiiBcrmuHbM+nJi7JkAdaJARv8WkPogWpRELv2SD0RW2pIoFvwx8sfk+jWfqAAXhhwiaVPc/Lo3H7DyaQacyMhiERmkir3d6DxKyhYR5ch9bwj1TKRgSpvB+uHRNEZhXG8iVFb/KOrKQ6ETyxaFHNKEsCYvFmFKQIPY5P39tAydGh0hbLQBAa04jTedQFEYQDd1ANk2IZNXBlABFq5vuFaz8NqBQThxOiH2pR4MhsrZHggCge95NOEtLzkrK4e2+dv06zl26hGPDfWzHGo8fX8JXr78OwEAZLZna3XViTn0Sc+mQIJ9OA7YA6vXfLJsXQ/LIMI8DK9T/GXpbO3sWH/jQowCAZWKpTJ56HovJEP03HB2wihWsjgGtvX8vI87UnFPyI7bGT0BDEoTTtj7e89gW8hEKsoTrDrMRGKHNvVgcofci8Me+bRQOpNNeljEwcBp3HyrIA/uu8lDd6ONFXsgzG1Ua+CjTfFEYCQvl9TPqg481gUVfxuoGGkrfTen1G9gvmvPLfs2josQOCQ+trtTfJyfWpDDWit+xzBNSJ8z0SKcQP++qzAd4nAqYD7ZRF4yiGYsma0sLyuAfoFU9X0oYadNzn/jaSj7cpiGjceWhRx5Cn3x2d0h/QImfOrGl2MdTKaTsm6vZxzupXaN0wKpooGVeJIPek1ZQ1M9PP+LQS+5LX/uiEwwrS4Oc2Qd8Aw5bxloAMp0lU8iwny/ctyRJ/DjAzKd2gOQAUMaLWkpotUZbEFSotAE3qCkqQvcLVCNE7IfynjFCLEwh5edDXZ+4CxO834ZwVtJgR4VMHEEUmZkl8zbpEyQ+P+NyDDM2OCjH8qxxrDDKmTmnoAhxfuwXXfjOn/xRpw+jofD1/2eCg0PUUhQp/MD3fAKv97+OAftOa40kaaFVWS+lFUUIgzpVE4vKWJRFGYzZ9fr3vbcIQEq/vtkf3saJ48fRTPu3h+JH7e7TWP4r/xQWXxuxjzj5z7IAqCmM1A/337zg+zmxsFasMCZhmolx46mfhfjdcV+FsMF4LBNpmikffviGG0UU9osQ7qqCrSqURYGMrBkrjMSKMCLtGQojImAyVvMaJEQq600bL+0UeOjkdHSZl3YKYRvaBntO+ZHwDu+RD4RcW8BqhS6FA2slc9DjMVTsylnmRziKYlx94apnJtHclm68jjMvv4pWEmMCYI2MKZkZI6V9xWDsctHeL7C6vYvF1/q4dXoNZneEW/Sbnbj+cDR2n3OLFP6w5epxLlJYHJdYvPIKbv30x3B06n6ABclk3k7kPXLoUWZxmNKg89oujl27gc5tWitQ6Q9JOuyNW07nyN5mIbsUrZYzAMSxW9cpUg6OKfybsRNY49qdqdwn76d0zOt2Eges3D8A6O0fYLy6BjziQ9T9Weltt3mepVmapVn6bk7ba2vYWHV0wOeee56Ovv7ty9AszdIszdIs3TEd3rrz8eOLd7cI/8tO37h2DX/zkUcQRX5bXlUVLv3pWw5+M0t3SL/5xA38+s+dlA0Y4ECu33xi99uYK58e7A8QVXfWTmmmznDkzq0qzPf3cZsjibyVZC3aX/9T2jzffeq8tov1L3wVcyv3QcVOMU+BVOjhUO50SMbNAzLotRJo7c5RshGmTTS199hOYCdkfGxsntld4k6b52p0iDmjcPTI3eX/bbd5fvChd+PYkPySrbdcs6W6J4Ho+RT3x1K3C33BqVeKX0Qj5AKMR0XZ+pOSH6ISkI8t5Jm3xDYgBf/der9q4d2ztdWdkmQZOktOnZjDnGDAVjdC6shKU45GKCdjjCcG1C5QjQ2qaoy9PedTaAcjrGWnAAAZ+aqVhP6WHACdrb+hL+mUf6T7HPRHOLPq7rNK/hDXt5w/RE6+FHs7DuEaPTkUK/KAAq9ff+Eq3Z4RHyWWQu8rJhmi/HlLNCMKrAzYdKPQytflypqrx8loAptPxM+lgkFZTZBvld4/hlGChoqqUV590KM+d0BdTR0NEaVAVmVmy7YxcixpEyKRe/YCACQIGBRs2WXkRRBP9rnx50r2pBDc1owg9Rx2i8vLiAk/x1V9E4kgtJZIHGVpvBU08DGjh/EvQSgacSbiHCNMFqj5+AEeCffaAt5H2fusuQ/2V7Phz+yX2rmzkr5KlainQpNFXE9g4wkUDZjzC/NYyOahU4WSEECV1REYUf52sGOtXIGEee2wgvefZSuwMFyIXVLmVn7b2Xb9Kf+K60Mr5Ffb7ZD4XqCiukwhr9R7qf0IIqbx2NkfcXVCSG5/ZwMAUBBNywnBe8s+ZbZWbwgUddlPqUN1vEHskq3L7r7DYR9Pfv5Jdzpd/tE3dhGNcpxYOuaORxYL3TbOXliRMEJsheaQTknbo/05jVlJyu2ZkFPy7fKh61JhJCSkHSF9h1gho+0d5AP22bVUf65/jFiRm5HFooQFaRI0+oeXDPUIdkpRGdpUN3xlURSiqssIO9cNowaCYpRG/N0ELWyossL6vuh941D7pOYNpRQ6yy5fCaHwEtqL37tSwnBiRCeR39hRmt6PsYI6cvJ6GjxGegYK6xCIH65t9otgDpL5mt4DHUit9fMD6mMOj7lFaZnYJXWcaR6P6/OGUipYG9jwdtDkM371s59BQWh0j0NU0bm9Do/PHm4qjUequJ4AwJQeCWXNhCxtlIVDsAX1YjmEIYVCYg2TjKJeJGmJDvdT9tE19bJYP2L5tUdQB8Ad5o9aZaB2TvgsxT7wDYYBI6EGFg3yVoAYM2NLgUdVzyTiDLIKML1DrWSibrfrjCITINsSDoznONEG4FOoHnSg6t7U9wjCl/FcFKkIkYowT337npUT6B3v4P3nTgEAvvb4C7JGu/qMC6/zqc0+VVqJ0/OfQBbfg2a6NXzNzdOB5PK4NDDjiZxTWRKk5tCkkcuLTrw/s6jrT4UVqsVIkI+bg1088yd/hLPvfBCLC4u4fXAbV156Cbs3b0Br3SR81dBg0VmgI9xPuxQuk5Fnm3hthpyRTxq746KCiiqMzUT0MhBVtbWEX9NwHqxoTrBaObcoH/jOykRd0L0iVO4fbZxUHCOONZJEoxi6UuzSu+J5UsaVvEApYQbrazYZs62SeZHby5de3Mev/rNX8Pc+sowH753DS28c4TefuIEnXhzVEGZXvCl8ecrv2/t0+7pwhzNZ1xljMJlMkKZuozg5PEJkJ9jZ3EVCeyJuowev38TN8gj3n3Rrh+6814sZ05x8eOCo2JNbt1GWYxxYi6IcY38hRYtQW5a+j1uOpr677Qz4LRqnFjoZ4rkYyXCEzs0+ov4AC4SMc/SHVkthd8fV/wcuXsFB0sKgM4/t9gKOf/0bsEeH2D8Y4lC7dcCEo3gcuf3OgNi1rdSh53NV5UFtYhvYibuWNQuUVmjFET3f5XV85O4zPBjRcxyaHmuFdL5F96mm5rA/K73tNs+zNEuzNEuzNEuzNEuzNEtv93SjfAEn0w8jivxGqaos/vjq73zb8rRz4w3s3HhDvr+FPcEs3UX60otDfOlFjko8vUF+u6VbD0Z4/X0xihMa6c0K81+cQ/bi0V/4vslwhONXN6F7HYyXjqNFm+e45Teyyd4+AOD4QY7jB8DHbvbxhXfej3T0na1M/rbbPK+eXEW3PAGAkGM2AAtayNZyVfuh1+mgc/p0424Ni6yd9l+wjQMquJatRl6VuW4h6vTa6FDMW/Fx0IxwOAvHXn+APbKeXFhyyC6rCYrKoVj7DeJ/9XuIrcH2lhv49veH2Nvto6ic9WdrlKPbo/hwZHEqCE3p9ShmNVmMinwkCrCMtI3I54WtcrBK/Jd7pxzyxajy7oZDyNpU4I1rA5yimLTnHzpNdVNvQtYYb71kd3C25nHcUrJKpanGkOrp8gvOtyERKNGjwhw0fukCqZHuj9BqWVTcKKIISWseWdqdgtjE2Cmq26WgFewbOxi4Oilz8qWE8QikMBE8cg34dmNKg4LqYLhDfr5TsVYRtOO6T43EqgwmN29hDq53GXP1WZjAh7uusMzx8ETFGEbab0bIeEF2ZVtTrmdLaR0hlqSUoCg6Ca8Dipz9yBiRhlhyBd0Xf2FmaMDLFkyhb4xI8HtSgi6yITsJfM7dg1JBsBg1UlECFRnoxFkZFzsLMIsLWFpewtZVam8cE55RDAEsvA/gNB+igbRZi2az5XNWVh11b68/wGivrq453HHMjv52ne6lkzSoNyovtdkR+Xw//Mij+PFf/BkAwNaes+w+9blPAwCWCZXTqfK+74rLyWMNoQY5o2kalrRul8kHuyjd2Hbp2Wvu3NEuNoyrt+s77tyfevcSjpkJzp09BQCYVDGOVpaw/KN/S95VQQgdI0dG9A2sxEI2FFu+aflnRLAoLHLOO4VjYH+1Ed1/Z2OI0V7dX/OnfvmnXBleuA4A+Gf/+LMAgHNnl9BbJr81GcNo3KI8JWkJU9ThZPad5j5qSouM4lUaYSa53zptr2INAIOR1xbwghz0wUwKWBgaz9s0zgtAzH1HkGiFYb+u2SH+oMx4KJUgEjlHPeD+JggH619o8TvkhqwbqLIprfSvpk6IrxvOr64h1u62Sn7z+a2PPZCoAIROp94vmo95jYxaNaI0fmwMfWoBwBJFYPW9H8SQ5rh8c5seyYiku0YzumwtUuo73TbN7YKIsyaKFabPiOOU15cMkicdMAFGhDyrvQ3KLyu7p1IwLf7BDZ0O+jQI24PXYnF1wnOXFVSQtSJ47eHVi209Tip83xMlbW4TFrDM7rT+GeEnoLx+SVJvmz7IdMCaaiiuy6wWtENup6noVDBa2FDktdYzu5hhRI/ktqCgYNiffy6BGk8wvOXQrvFRib0bA+wwUlnmMtY897knAABf4XUV5fN93/csPvDwT6LXuR/9/S088+Jnce3VP6RneopVrCOoiYeamfgbUwajOIaeSyRKQy01WJMqXDTYev/yh7mvBhc2FrsqWEvLmkWF/TN4rzzOBOsD1kXg9V2eFyiOxoCKYC3RY+NYenmYTMCakPGIfe4bYjTK2EDV3X2EStsAUE0mqCYGZWFk3OPxdLBXZxoBKthH0Lop5TGnLdeWDYbD9HKA23545/q4x8kqXwNNsXh/O38XZmIs3dNGd1ihJL//e06tYK53DH/3+74XT/z2VwBAYkJnWYJUWezdcHPq/rs0hn/nmNw/vy9C/rPHMPpfdnDvroEyE6g4Q6lbsMdPoL+/j1F7AfeffAfOfe8PoNu7B0Uxwq1br2I0uon9b7wMNTbY37uJo9d3MBoeYFJNsPPKFhY7DiE+0T1G9TfCrV23zikI0a7GYzy4vYctleP4fo7xcCB9Oc3c9fe/80EAwLFjri5epXH6VpHLur84dO/14LYrZ9xx1O/l1RW0uGdpZyBYXHB7h4j88gcD52uR57mwhubiGEqndx109223eZ6lWZqlWZqlWZqlWZqlWfpOSNdeeQZbtxyl2zY57bM0S9/GlH94WtwMKsL4sePAH/anfhq1F3Dw0Y/iA/edk2NZdgzz2TG8eCbD4c6/xMLuTQCAHn9zbX3xTa6btDQOj7VR3u+Axph8llnE9PCwQEX+zDlRz29HZNw4TsJoyyeQ8OaZxGL1ohPQOyDj8H5Frl5JjOXSIDbeleJu09tu89w9toi0chYEZ2WuV7IYwATdc9+zNIFmfwxTt6yJZdvawFLd8IVpqOORo2XjUN1aaw0wGjmrim76cNjgvqxYSKYrVmplBUhBCRWQdRaQjse4/rJzlB8PcwwLg9GCs+T02hlOnj3p7kPIM8c7ZV8RKYrpCvJckKIq+wuU4odksbPjnvXFzz0JABgSncKOnEVnxPF7kxSnz7sOxQqhU1YzrdCMPmhRtyCypVIrhZwsaaPyBQDAxrPOh5rVHcuRxZmHzwAATp11n4u3DpFVynv6RxEmxxexvLYmiE7TndYG1lZGYBnxbHcoTp4oo2qk5PclCCDqlli27o+KwldqI9al+KnZUiz+Uie2jrBJjF5bep+kBvpTCnLn0XtORnx2mM3Avm0miE9OjIe8jgRo6AA1o8+GxR5WoSRYhcKWIyffWm7HhfjaBf22EWfTLywUdMLWXvbBZvSBysRKukpBsV8/M016HBeQyl2Uwhxg63TZH2OcG7zrgms3h4c50mMLGO72Bc3n+tdl4z1rdQdf7kZrD3zl2T+1R6rza+Qvt0yxdQGDvS3Xz1IuX6P/8/3LvETZcIzK8/r7vXbxIn79v/lvAQBbhFznQzfhPPIBxwrpaI1lQlc1Ida7fWrzFFYj33Rt32QWzz/lEObNHULI2a8+QCjaqbvfOVIbHR4dIS5L7O7fpHNayPcrbA92pBOWAdIcVBuUTtAly7qFY72I/6anjNB3/159zG9WeXVlexYbuH7V5Z0R943rGwCA5dMuvz/3qx+U35l1AIrOcIpiri+T5EZZGGhCn/iZBfkUZz33vb22JIgrM4A4pvkeaUYM2Q9+pYOlU668abuuyM8t7eyjF5BSG9q79oy7H7dVOofH16IopQ5Kah92xIwMjlpgsE3MhDKhyAiia1BH0dtJ6tFFmqMS+eRztcR+tdxuG4iWjFPWl4zfucyBATTrkTQeY8O7oRb9QOZi1noQ9Maj8sJwkDGVxk8acztrp2FTivu9tUPlrTONBIEOkDyuUy6DzBFBxphlVQZxYt2zCZ2DRU5qs2uPXAAAnDnj5vO9JxyClBgzNW4yTUfiSHNfUDZw+q2PYV4XwiP34q/diHuq00wUpZPGOkfcjvkKG8yvDbZQKCPi5yuu//p8YaUMKkAZiW3E+hXs8WqtRybZZ1zGT84ftzUfd7vQ9friYhfGguPY6qhCHFXQtAh/Y+sGXtcaT2y5/tvttQVpTShyStYjfQouvrEoc2aesXI4rzO4ThRYiVo0tiN3xLOYKhhEKAJVbK8R41czAIiz0YAvpx1qg7+ClwPf5nXQh0wjcovieiSmhiVEvLRG+hfr1cijKuUcuS1AbqiYS2K0M11jB7hPSB0JK7LkNlAvm7Um0IpwdRtFiujypH9jLezEOh0XZhtkjf5gfIP2seoZcU6pTqjNQsGydkeDXtYE8sPVcPO+mD5lal3Mdc0aAWknxSCn+bkqMKmOsLjg9kYtFSFREWwZxnCnP6IYiGIo2nia5TuHubSrCTCxwMSiHB3g6KjE1jf+FC9XFj/22E9MnR8BWL52C4fKrWEO4gjjIwM9nuBwdIhbewMMbzmK9o0dF32jd6KHFs2zMYl0RWmCKJvDA2d/AO3dPdx/TxftzJVrce087C/9Ep7HSwCAz/zT/wMAcHni5vUhDPb23fvY3WVtJorAcuje8/vO3oMOjRHb1l33oz/s1PEfOXXW1e3Ijf/b166h/b//Fo7dGuLWcIgkO/adizzf3H8DB9bRLBOVoDH2Cd2Lnf+FPgtPd/CDvF9uANQhmKrDa3uhLfFFfkHQnEjRCLlgytKH15CQHo0OZkJRBx4wmMZM10iYBoVutoCF/Ajnz7oFsB1b3D7RxfyH30/XBrQspslYN+hs7zhqA9NojbFCGbSNCctL8peenkX50bQAOHl2jc6hWlTAxvVNAMD169v1uglEX3RjcObFhg/tQd9hZWPIi+hVeiZPlEmSYekUh9Jy+eLQEhEPpBHcgG19yAsrtN76ZKIAsMIPb26TxNFTkYSDH2+S6bu0l/r9Mp353Z60P6IxS1vy10yFDGoma6X+WJyjNPV2DfgJz9OX6f4NCrQxRhb14vrQGPw1rAzgpamLznF4hyxN5ZycRDa8UE19MQ6VSr9imhFPWEzh1dYvEHmhMKSQOtxveyRw1MlSmSytqlN/S7pvDu1DyxGXrrIVKlvh5g23eYgiIFcxylYii1vJM9udEnapAEKBE/dsbgzc6Hmhof3mIHGLqk/+8t8FALxw0YV5u/Tc82Jgay5QmLrcDE0CTG/Yub9sb+8KL7XXJncNQ5uk0vWX4RBIFS166D1kVKd9CgeY00LF5oXQjNnfYpfC+XC9KkCojsxXLFKDEgY3aDKKAOzrIZ7ffA5+49scl7k0ZsotIqQQAoDSQRvjcaghoMfn7g0GslBlg8TW7nUAwHKXXD6W/CZEjDPWjWWr53jabMttdWNjwsafUjYfRp5fsgGGyyc02kb/ALDU4Wfx5sWd01MGgKv3paWuPCLIgoz/7U7bCwXSBj3fpRdDG5YMpQiaSbXR/Xj7XlCfLxFQTL3SH5WbDifeOMpzixht6Y68ALUwYqQd0RiUm8YYqf1CWFo9j21CfZweNeXc0DUGrv10bCrXuVPcOUOeF0sjVM4hfWaN8VSMBVpN+Yt6Azy7+ShvrGCDrIA9032AKcBtEeZiYTnagJdFYNjQ9Xw1BMice0nD3NAIqZdaJb/5EGFNarcfl4pGXWjdnEv9ZtcE1zf+8GEA7yAk5/JAc4H2/d6HK6NzFY/Tfm6XxMKStl5+Gzwj45Ck3Jy177+a2msrjqDjCB2ifc7NJ5jPUjxCoo/b26OAustGjcbCVCsoDo3WoOyKmFyWItobIFIRqglL/AJVFJFqGB+oAOvrRKJQBeGofF3KwhiNPygPwVzCdctiqrJ5DuYzy+4eZFig9tZO6uuKtkqgsvp6jh81N4iRVLET8SKAIyIo4JUAACAASURBVI4jR71vrrfB1acC8V3KzdT+02++ZZ+oI0RxBBBwGMVOcFVr764yGpKwX5MG7iqlVm8imif2WRO+YjrYyNiftaSbotqH74cNFFRenlNo41eUJc6cOQUAWB8dw8KNmzjsO7rx1suv4eZuH0+9MfBCxLpukNXUpOLtEpN3TrsBxNsl7GQCay1alUUCi/tTjd6xNt7VmxbAA4COiXBrcwPjW7eR6ARdHSMxCmkcw7RaeG7pe/DF0x/C6+1lLOc38OE3/gDf//qLiI0PH9VqZ5hL53H/vWuYm8S4L+ui1XjOOTja9n/28/+1q6mf5xobi9uhITez0YTEwOg953mJIQF/KuUxwo25lzYdQPD+h9x+qruyBv37LyJ7Yxed/T5wz8ody32n9LbbPM/SdMr2R3j3l/4AgOuLk8o1iEoWcsz9d/Lu49JP2BF1UB6sq4p/Y6W6iRwzhoKfM1JE1xBLAnEE2bBWJCkvGhkcdBmRxFvjQbUl/jz0yRYoVGKNOixdx7q9f0C/0UAfz+HEoWv4CwvO77t9WNxFrc3SLM3SLM3SLM3SLM3SLH13prl/08fBf3ifrLsBByykX9h/02tu5vu4b/HE1PHt4TTNm9Pz93wPfvO9PyPfX1u8H/9i8SeAWON9G899k7m/u9R6+mnc91ufRuu1LRzddz82P/xR3Hr3e76lz3zbbZ53hpdx2zrhBmU1koZ4SKadNX6NQ0zQJis3A4wsv9g6TYPDUWkob70TNIAuaVIxwjBPYiFqVpeeCpMgImBs/Q0oWCzpn4nlmi3NHg03ZoKJsVC0K43nFFoA0ttuA1khEln+iDesldvIWgqnUrHVu3Iy/vQnXV9PVVXJRtVWHPvMNs4Jz3XnzM2RJZx8ClhpskIFa4kuYvnZtJnmnXbF+bewlKMJ79Dvcx8cpy6KLGzF59Dlc3PAnBfbqCKgTOfQ7rQh70p5hAnw9lilvOgEC49M0RusEbSI32MzTERN6ItRakFk6oI8Vgd/N6yUnsTs88fW4oLFlARR8BZ2Pqdk8S+5IxsWOC/K/y2CWvWHmgCZUKpd+60gNK0og0yi7kOjGp+uSoh9wH2P0YzEiygJOpC5Pt3trdL11E8Y9U60ZxTQNRLaS/qSgmUsjazk3VdeR3c4ws7LDlmcX8ywf1QC993r0d+E0SgKRyNsOR+OxQRoSu1DLNBG2lLmAE5cunrZnVP0pQxCHZQ2xfVWHzsAO23NFlcAukYpbG04FkhCDAUWw7n8zJPuEqMCZJ3GUSkU0zjp/kojpRBSO1uuvjisEyMnSgceCmShn0tbaJVjzGk3DlSTCZJIIdMaHGaK6bIefaP+UiqhCTAaKkgWncNAqAoQQEZZuSzc1rIecP5RmhcYLSNIcTRkBMvI700RoanQhFABtZ7DqNC4J6im9i4wHLLKK9xQPvl+WtA8q0jszBC6T8GvdFYKFMFhGZtuMJIUPCrNCOxJ/imR40JBFoJxfe6z8OHPtIxd/Bv1D/qeaA07dU4dlfKlTeXdp2k9hJ4g2lrJ/CeeHkLtpj6lvDATv5qmniFqvzdQVcpph1gXaaLRIabTColsMrJYNsNRFn78ZBqpuNMEjBuZ7+sZ8VR0bnfwIcO4TTFC2+uxAKivE2al8NCfNtYZiU58WCYZmOrfrfXIPWNTusGGUNYHvxLE3tQZRtLOtZIxy6PSDUQc4RzKdUGfqPdbx26id0SMDB6PS8uoYeKXZA200Iux+TnCcN75zMYQntgQxYyBSGFCaxEzsRhPrKzXrPUh9ZpuDVooD+GAXa8bTnlRSFxZAZqpTmIOmxVFaCUtpFniUdAG2ipPsVOORFNJT41pAVrNtGtyE7HWwJRuHOIxsUvhu9pZIlcDrhqmWIxc7pZGbCaIbCXrzTiOkSRa+pAxjTIFalsSNrZBM7eOZ+2u5wGAtddoY6i1gm7F6LQTWQ80XShkDREyyyyvuVgE0B0uC+PbfyNbd0rN/t9kBCjl2ZZ+bOBy1vctSTvF+TOnAQD5U19GPCqw/bqbL+JWAp2kOLm2jN3dXco7tbdYASqSuk+/PkL1T3Yw+thxqJUEZvsI8WffQPFHQ0zGBnYywREqFJMK+4MR8gr4/J88g1/4m49J7GQAsFWFJzdexL3FGKY0iMYWGI8B40Rpv3jqb92hRiJ86cQP4Psufg0TWscXg9vIj8Z49rnfx/FbQ9y6/wF02iQw1h/jtVf/LfKRa4eD4Yiqhtyk0kxcFrkP9i5dRO83/pE8cX7jOs5+6p9g8F/9A8z94A+5+mM21xvkQhW75z0QHwPWTgNIgHvXkB87hm/coRR3Sm+7zfMszdIszdIszdIszdIszdIszdIs/cXS/PO3Ef/bAQ6PDG36mjBaPV187WX88z98HB8++x7c2zmO1/f7eOKVi3jxxqu4902u2W7f+ZfdhTtTwP+y0rHf/dzUsaiqsPDp34KhzfO3Ir3tNs+TyQTFmASrFES4iA1VPRGHKGvXDYsRhrlDYpQWczyAwMdDae8bJZYgQlUaJrw0ycTqjqbfkbiUa/E3YIt9QvCDltAQCjZn9IL9tRv+B4FQyqR3HPH+CNK4BYElVBiOcgF/hliHYlJn8ATqQMJfkGdGl/1vfF7MKDWdo/hceNiaLaacH3bdEdZ2BeFyS/gFpnHzJ1kJYxWhYgq3oN5SKACAjr1lLiKquKH85ETnHucFJt1j5GtH1lq6jYQQC47zkaaPaT1MQ4OJ0GQWiOXUNxzVtDaG4i5T1kpCM+TZweFGW0zkAJfBo3D+sgb+2/idCtbIICdvgW3eV+ytVgW+V/VnloJaYyqp4E3Unx16Y9WRML4mH7l8DQO/UimBrl8LKChV1u4zMRUmkwoVIxNxjFassbSUYXebWCo5+2STxXkYVIBqIDp/RtlK8lNaXnLo0XOPPwkAWFklH/40FcTUgEWEaOyYEkaZRp7la2Cxp+IKKtK0aNfvKU779J2+Bi9tuGumjrn8UltVWtDegvQHVDkHNZ4AY9df7djCFhbloPBsHEZQKDMcIi5L4P09GY2mfKWCTLJ1XkOrBqIYsA4AYHWp68XiBKHn8tI1HD+vVkb+m4VqQPewgV8/o1D1cUErDXb5Zc0I0eFo+HErpeQ+RUlhihT5ZmVhO2ZErY46NhEta23gm9d8tq8ARiYN9w++naBAfr4s5boGYkXXJip3jIEgP4xya9tEIa0I37EuB/tSZhQKJlF+dGN9hVRic1F/UWpqfjbyYptLGCtzugn7E3x9FqYU8SoOl8TAWsp9UzRBPHOC64nrU/xfrR+fmuJp3ifVv9+SXmhesognhRvjS3WCNvnqpZ0GosvoGeVlVJSwhfcddvmr+5CHQkse3qu3a/c793M6NWFfbLqE0VzlQ0EVlsWUKOtSNwjCbDUhU1oHSRO1MkZwG2AQLVO8dgtmQRlX6F1xZoLpTSOrHfJjhheL4pfVSuagWwYpC5nGCuP2PFbJ57nbyZDnHIaJGEoFC7GyvoxBoEPlns1sJnofaZZC6RjKxACJOfGaiN3oUFmYyIVask0WhKp9uOe9iUBYcwwPc+bXOSyCyOHurLyzNuloSFgwacZUR0pJmxZWCs07LRVBqwg2Elk0tFqxe7fM+kvq471RNuw8tYKG86N0W17TRwpxFAnqraIIS2ODf68/AIOmVWOfyHmysOKqOKF2zM1ZyUU+TzzPMDOT1+Fyx0qhYufr0Ic9vEsVrM+jBv1ATnHH71ucw4O//2UAwPjaJvYnE0RUx1EUOTdInaDTc+3U7DHr0MHx88QaWEhpX2AnwvA05H+8sDvA/NigmlgoDdw6LPB6YfBM1cLTl67jH/+bL8h75TCtZ+cT9EY55nWMhcEI88agPCyw1N/C9vJpNNOx/dfx+vA2ClbYrixgxlATILLA+OAAr7z2OgDgtWsKXz4ceqFOZkvRWGmsDwvKn3//lVemngkAuHYVv/5r/x0AICOhU957PZ5+HgCwurqGH9rdRNp/A53eMkrcver2227z/N2e9s6cwvFXXkNk37p0+ndrqpTCjXc+8O3OxizN0izN0izN0izN0ix9m5K2FvcUR3exeXbGdQCYNACpqArRIP6rDjx5AIofFKHibXJj8yx3uePm2VOjw+ecGB1g8aYTCLs9ufv9wFC3sIzDuz6fUxnfWZX7btOjz38O/+rf+RVUUWAMqCpcuPr4X+i+f17aTeexlh9MH6eY0d+q9LbbPDuVW49EaQlqX1d+bFrRYAPjLlsmWHhUfAytIH2S2OIk/jNkKS+H3tfC1hEtCUFglbfUB35t7ln0zXaglFNzHpHlFuSbnWi2jnrrKt7Rw8uP/Q3ce20bycg3CEbPIjjDDQBYRd1wygJW1b5SIWr3Eb9mC/E7lu4uPs/sm8z3teK/zJZTRpktX20r8Avweeb7TXlcB/lrDCDKDz6MiKMx2EzaCzhayPDGO9Zw+97jULDwSpcuNXVaQzu+avi9h6KdfBWrrnbJFysliyxb062x0gZZuK1g2Cv0ozN1xED8W+WcJnLhLetTCC10gEahdk4znAWsmlI79kg7f9NTaF7zmS5cFB+pa2Wq4FkAnM/ilLW83jktvS3Avwfvo1j3BA+M3D5fXH0B6i2ggvjJaqhYozVHmgB2gok1QBA2jJW+Swrxc/59LhRbXo5Q9FmpmtG8eh0xWq20lvBunJ/RjsvMox85456jLJ7+vBPN6K05H29uJv2+Qx/Zz7GTJQG6CClfmIyxgn4w0uxFNxlBVV7Znq5PVB1dGg49qsa+mB5VpTpiBKUsZTxmFP3E8TV0ots4Qf65Zmww3zmG86sXUDKyxqH0knqIKWOtsBbEh50ZAKbeb0slIuAy5vpwQnSSteCBuCOhjAjl43FefOd9i5S+KMrN5N8M651EUe/TgsYl3qdYScwcKm8N1eM5htE4vm9zPvLHmKGgJXuMnDLbyRee0RnvZ+oZIz5kE6OhdG7ZKLdSgujqevX7a2B9tIcGM0sF95Gy8ctJKc+kkFwqDkuTS6QKIpmJzon4ehvlfWtlgGSl3/q51lrvh8p1oRihdG3g6eefFAZBKchpfT0hYZQSLf2B/WiH9WqDtcb316bvL7dnZg0oLbSKYs/FBd4ZXQcAjMjv3Sh/v+YAwMif9OeuFV0K0cog3Qsj70NLv5fxl+8T5IsfVXBXFDgZtTQqTTA30SeVSXxFTSl+1dr4ubJWOZynfCCDtm4g4t4HXwVrwHrHF5FhDttmDEpqwAzMeu0NPwZxNqJWhEhHaDFqPhdjOVb4xO4ePTtCTOucInbrHktonk2d1oOtYlhC1gxrtIi8BLWBwwKL1kDrCNYIhQ+A044AgLgFnFQKv2ByaYMVt8nGfq5C5Ne/k/rcNBHWJW34rN8oMtrtBVxpTWh9flotFn115WzFUe1crQI2JLMjaV12zEyASCGKIlQEAkURvW5VXx9zm6jpOsjStL5W0omS9sADqGopqLESQRxeRsZRhObumdmRmsptq0p0gxJmRca+vrhszT1ykw0qy24oeVei80MFpdtiYiY14S4gYB1wfcaubJ3jHSh62Spx7aNL+jDDmwNEkwpFXqBk9hytB15ME7xzYDAZE+JMiumtuUS68jw9a/6gQHpUogIwufc4lrI5dJXC2kILdkJjDmkqGWpjPQvE7RQKFaqshaqMUCUtrO///+y9fZBlSXYX9ntZt27ffvO6pra2p7d31Nu0Zmf3jYb1Smgk8WlZ/sAOQzjsCOEAo5BFBGAHxgb8hXEQtiMwDtsRDrAhsAMcAgIk2QiwFQTIYAshPrwIsSsW7XjZNwxD07R6W721NbU1b97cvnVfPv+R53fOybzVMz2C3emR8kR0v3r33Y/MvJknM8/vnN95Bb/ub/5R/LUXfiUeHFzHB9cP8I2v/mV87LWfxBhzAwJ2wOv3jhHWG5x98Rgnr6fsH1+5cgUvn5+rDrv58bQeu36NHFfWB6giP/WRr8e/uXo52+7sAPyNGzdVJ/TCvr05Y0aSNCZ/8od/BH/n//hR3IgRGEY8vVzi27/9n8fjyBO3ea4CvPHsNTy8cSM75kladNIOxSw+8cl0NyjSCnmjg25A+KxYbl5U01laCOcW6O8r1o/smG1gixWZ/17sBqOb7HX5EvLumrtQ5xu6KlWqVKlSpUqVdyt72y0Ozx4CSJtnbjgvP0xpVDVbiaKRlopnWxCcbrn22u00c8nbCZFT28A9evO803WclEe/pj/2om0GWWYlnN1y88xzoBu4Rq4LYvhouHnWkLxHb565Af1ayLrdx9XNz8/sK29eai88/tOXL+PPX7+OX7ofsXg4YLySNt5tu2+hnvLOP3hyhrHZw1cWHTYSMpH6/pvYSWed7dI7Jzq/1116ZJm+4d7n8A33PqfP6bdbvPU4nf6fQF754DP408tP4Jf/9D/CM5sNvjSf46/fuIlXjq5OoyX/KcoTt3lu9vaAGa3MLlZHLVRFYAmvCxHc7NHyLMbGjAF7GEpmSrlezBjD6I6L9XIccgSB1vMmjppP2NDuZD3e6P414qARFk2ijJsH8tD8/g2CiwXLUWmrJ8BAt65ZyDlFrJnLEUmUhpZn5lyOno01b5EJqqkSR+TYrfuJn9GsvaV1u7wqRvgde3aG2QOCe1W5ddVaxj20QFV1I699IKh122Fs8tuYnZvuJggFcwifJQvWoMhWo32HDJW0hCu6FBqz8NNQIZ0zyn3UKj8O7vk5CifhVlivT7E55YSRo0lacl9HtbGUb9q+TXOkozg3unBbhyzBzBYNY9H8DdgXtXzWxjrUNI4qL6chdq6synQrz1SkIqD0Mph3++geNmhlkhl3EeNuh9uv3HWoY/o8PEgW3U988kUAQLdoMZJtdWL0YTlNr3BsH99LTNVnJwm1WAtb5OHRAdbCIHk1CLupNNwnvyVZV2+9cAsAcPuVO3j5JxJbN3PolsymB0dH+Jf/jW9KZRVEl7lb2zm9I6xvssI6ZuSPz3/+VQDAnVfu4uSEceAKAeb1hbXX/EBoxfcuAeGhol9hdglbXMYQ5xhFh3UHLANRb29UU/rurJ6mhqkjIwblu0jndgo5p++n62NjyJVfFA0dctT7YD7HRrwO6PnQSd5dIpQNgv5tjkWNPNuQUEMZifTxszA+BvO2MONgXk80jbEGE90rbKKjGkJHNzqlDmQBZo74vjcDJ4ekM4YCxmw8mnp3rNMcb/ZM9XRQtJBIIMvN+js9orojz0QwBot3Z4uc9X12TXrNRJ9Kpm9kfwWE6eSkZ0gdNjFDZV1TWDwo5+beTVLMqjDmlYoxqrrdMFeyxHjrFGCU52i5MFnn76Fx/ST0eTsF9SYpyonGeZ4U863zOtFNlY6ZXI+OrXv5DDknaqPxzOn3A1hOc9IPqb1dPrvYai7tXqFsKU+hy4Y+YhRPCUXwFSFnVQLKPL3TucXmAo2z1rz0wqOjY8Da++HsIYbZoO6ylJl4sY67qCBmmEt2EeYvFg+8WdhXgMMc5cRDjhvbcYsZN6WyeVnMzjED8PQzSWfv6cbTSlNmTOHmPACaiUTRZDlH0Vqt0izLmpLaImb33aVCwx+0zC45yhp2O/NC5AcdIbMDopeudFhcX6heZz9eyDsYxqjeDBxdrbnnyI2jeXBIP/mZ/SN8/AtvobkkbX0etUgssgG7ufVhtpuBzpuhMAQw80yAGQX4HmLxfuHbb8d5sDAkyH2b/T3jZFFXbDFikLNI1veX2n01nOw1LA8NKVv8w6MFhr7HmaxJbQxG/PT+Hn7kWmKUvnGD6wHzmOJa9zveeAtH603qj8OI9nLApUtpcxy3bMD0zFYQ+z3JsBPHLS5fvoRLYQZ0HeYfOACcMQlIa8LZOrmQ9zRybCMwRpx++QRt/xCHH7yCm1//dQCAN46u4Fu+9Rv0mZYtx/FyyHy1IcfIOOLTM+BT11KO5nGMiOs1sF7b8sIUiV4DACcnPb7jGz6GZ97q8dRijksf+QV4XHniNs/j9hz9m0nRtcEmQm5qe6Y94QUOdeXErJvdJp+c2tA55LVYrImCN2/B6PYfF7sdDdE2dnNxWwqycKVj6Di0tnAoJnWdx9Q1PWCQSXcznmXP5sQxIqorWNemZzVo9XrAJrmmmWOUxd9CUnwtcCQPZQkDzBO+2Bj7dEwAYrCUEqEkqsjqyI1iyH6buBrHiZPx1L3X3U+JqkqPNkw3XMYxEdx9tMbyR46w++14uRHjszSliRhJYoyOjCnosaxSMdji2C0GUl3yRRLgCGn4GzfYmoqjmRgLUGwqtR4huAUDr8/dwQOmC1h9Z421pxoSpP+Ngyk0X90wRHWVNIMWy2nGpqDEQPmizxzq5NRxnLhTFp628Jt7FqTtWuy/ta/K/s3Tr2CzjTg7D0q80wsp2Se/+XrWNuvT0Rlr8vdZ6p4I6wNRFPrVZ9N4++xPfhYA8OD+A1y7eS1rPzbJkRB+sJMuDjp1oTb7Tt63bjz/LBaygWWfX2gaJOjxYmgDxZh8/uPJrfz552/htdduAwB+/Ic/nR7Z5WVoQlCisFvPpbRi25hIA9988yEfgLP9De7eO9X3aqE2hQKIzuVZ18UcIByL7KuNS1vFFCTss5LGor2JruXme8zut2jN0AEA867DYVu4f9NQ4UIsStIzGnqog9EEI47iAp3Grp5u/VLOzhqznG8iU2CNo+pWLsY3spkc+CmbkLFx9g1+CllmEEPAvO30RwsNkU0zPZapvtx2XLu8pgOT+0dASQRZb+1kuY4bo23AbC5G9tA2RDXkmsTsmhBaaEozPSPf1OvcH6M+08JpqFf47kwXUvS+1POaDs3SAkYflpI9G+hk3v/4jaRHrh1cy6pLgtM2NOjFiMawC1uLiNtxjPquRm34/BwleQuNpSvs87VRIyRv66HXvsT+QgONpd9p1L2YbqBlXARDNrp5p0Q+YSjnUKa3atSYfCBtwzE0blje9N6vHV7Fgq7sA13sS4OCVWzUNrD2T1VQU4DWZZSxwh5mafMsDKlvn0KIA7YjyZ7SBwlYZyGRTwIeBZZ6a3wncyaZ6N5SNlSznc3FfMZWdNl+SHOUpgaKUU+iezU33ESV43aHlmWc2aYbAIgNagSf7WOxk/KM4leupQ4zvZ6ot1J+EU2n0SDMdKNJEipFnt2ekhvs4akr6NqFhpz08n74xobR6yEeu3j+BYBReu6dsI8fuXENH3t9jacenmPXufrme1v9i7eZYYYgBhIjbCvjj+1GdKEeueEu3jdmVnfNypqfgV30xhDeTwh0ZzL/nMvxZobLYvjf7XNv8xY2lzu8/KEP4vjpK8CDE9PDhe6mzjiT/JtNiDqeOHZOW+BgN2ImLv3nbwJvvTVIWb1VAKCloRXyrbAFTs8f4ul+wFf2gJOvvO4I8LZ66SgGjf2nxKth22B7eBlX4hbd3hbbeI63+uTR8ZU3Rtx/cBddS+Jl2dtkpJs0KOaGTn5Pz88N0KNuuEUvyBy7uBqwvw5oMMNuNmI3e3wP1idu81ylSpUqVapUqVKlyldb7l4/wocfnL4nz359cbncgv2ck91shn907fCrdv+fuTLHl59OBho14EeUdmL9y8w9BhwZ70VhuIfdiMYyI3cv0SADbcLk2fI9OvSYxj1694inFjMM3XjxORyIRxw3gcMmgWon/5T66z985gAfOXnDEaS9Ozmddzh46xyvP9W988kiu9kMr35ggV/05a9Mfnt68xD/4st3sL8nHABNbhyazSyufKuQf0ngZrxQjLln6MQgBqMoxoLdGHH4s3Qrf+I2z+fDVq0EEeZ22NAS0eTudzYgDM5XSy49W6Ujd01Q0prQSRqG4hpardMIoztubukkcpRunW5Ot82gxC3yPRhhkyFrtK4O2T0ignONlWcyOF6fF43shC6FgS5JYp0hMNAcK2nappFB198HAMxDGpRN6BwCKU+RNp63dAsP+jut9+aOVqBKXmsVrlcT5Ck4y7JDENOHJxDJOzffgxqaEUrQY4KCmOuy/Va6MfuiGK6bI7ya2L4xtLV0rS9qkmWT8C7h6X6GhgCp3xCxsg58lt2vCY2k5bIyT9rcueUp6h0fodljVC+BMrUPUfDrV+c4INIp/WNkqgteRKteP2qL0FNkLUgO0bNx6DFseH5B2qcEXYZsEykJig6y3cy1mmiFkk9td0Dc4crTaVI6H0c8Nb+MG1/3rKZ3IYKzWafJ6Mf/2o9LmQYluhrkfaglXEmjqKeCovCHQij3yV+SEN0zIaq48+oDtCTVUdfQVMxP/einpU3Eo6RzhGHFkOnEHffOq7dx77W7ckwIrtRa2+gnLbf0RmnV/ZP9GHJuh7ZN7XT1ZkLCT+6eym9mreZ7uPl8Qp7P7/0MxvMR50iW473ZDEPfo9+s1Vrc870WLqMBjoROPSc4bvleg37XyLaClEkPI9hvRZoxXegIWdx648Ytf+qpr2wxoxZvGe9aBfWGD0bFUKiBdqCecvqF736R6xUlQYvWjxsZ49cWghL2TClDorjRlSefdzQVUQiK6MwbQ3sBoG/y/hyiV8NExqWPez1fePlQOqKZwRBfRRAcSgsAc3poNUHRKD6cruecC4dhROC8LScxBIJkdtGFWIwyzm5dvZbVb72xuZ5potTV1nkk+GvGvlcSta7LPT04Rrt5q+OLKX6uH6Vn06VyI/d/8bkXcSjkeoqqCIrGNcRmPTiSvtK1XrwP+D3CEfOl34guj+NajkdNqck5r1MEStYgXYejw2tZeTZs4036PJUwh7Pe9MlcojcWmtaKXg2jZWrU8ki4xXVpN0GwusMjLCRc7VTai6EdfB+tTfYWvqBeIRo4JL+7GdwvS2Bzip+GN/2A/hu/hPnfewWX1m8ZcRjTaM5misI9HJILKhHYVrya0kJAysiFviKMMz28HZOeHIYd+qcu4+5HkrvqR+7/DC69ucFWVv1bl/pKEb9L6Vn7cv+HD4eJBwXRZEKf3FA8fGtQUhXwHgAAIABJREFUN/T9PbbTTsoifWC/QWA9H6Zj+9JH9+Q+5wwlafcNXT0neezMf2AWt1jvN/jpZ69hdu2DuAaoJyT1CfXD6cmxWycnoZsvQxZijOoVQQK4geNBxj+9HYZhVJ1PF37O363zhMpSl8FSj3meHg0vKEJOeIaF0TiPwNJjievmAJ075gumvJXfDtO8+6zordN7D3B2nMbe4oBhOEK0KGuS9emZjbkhux02ZwyXMEjflsypTU7GHU6e/gA+dnqGK+ejpMKVGxTeDJyLr1xKn3sB+On2Mv7CL7iCKw/PceWt0TwV3LV8D3v7e1jvN1gdHuKL3WX8M/3r2A47bAfzWpsh4PJJPyHJ433TUMoJkRmHH/yjSRynpHgzVxP7Pgty6l6a6xrdV76zPHGb5ypVqlSpUqVKlSpVvhay/vAzuP/0ZQBmvGkbMxKZASZt7rlx5+Y+bZ5pjKNxLzfSh2AGjs0md7E9v/Vhua8BK8wuwA0Zc9TS8LFebwxMEhk0j31uqF2fbXRvz/qpsUaMIk3XaTz6RrJHkAeCfCZr5mmfd+b2zvCUYPVMlRkdQFTlSZUvPnUZX3xK4pwBF55aAjKpA129noC3FsD9+4knRcFCtVZBr+WfNGzEnyPbzieuFpe7Ft25ELeMoyqOUPhD0JJDkhyM0WKkNM6VFn/pDE2wWExNM8PbyjVM+xCjIgZj8SxThqMqIu1mkbEJhjqUsdJGZk2EQyz2cbS0LporRNJj0LLeD2jneRoWRUPZiKq8DIUisrHpxYocj/XZ1uGJSqU6HSKl2OokpdYYoTTxRKVHra8NGrXaFeVqSjQo2ORRIrJwZ1rb5tY8jQlugktXwzjGHLnLUeCYHVTCFX2O80QAEZ383ZthO8LRrsj/ZTxdtP41QX3zCSd1J4V/s/t6GNIQIo6HvLyWnspNW0X7aflitGdwDNFSL8jHnbunIAKuxE8kSCsI09qmQ3PApPQJmpgfpnMWkjahDQ4Rkri0zZATBTGerh/WOJZ0Tuvjk7wFGAg7jugIuQiC2rYt9vf3ceXKFQDAU4sFnm328PWXGmz300JpJ5b6XRQWVQlo2mKGcyEYGVuJ4xHL/TBLzz4X82YcBzyciXvQWRpXu7+YPhnX+Pxb50ruQt4SjVOT++5JANau7xW1MPttjlTu3I+z0uPKkcSUhC8kpGF/pGU2hj1N4fGiWpqFDGcU16km4LJYnbufSml2sI14c7vFvsRkbcMeHg4jNsNocf3KnVAglsH5dWg/hv7mPpDo4AwhTWXWk+W7kc4YiWKOZmTNWBJ6lV4mGOyZk/vZeJ6maMpuo25+iNA4f3oWqbeF6sqga3BVUxyarSxaHGAeivmw07LIOQ0QOs4zRGcunvZTdC/HNOvHeru5VY9xgZ7rno1sMDbDgIC5HEteDFxoz0OaPw4WcyVPbGwyBuBQzDG6hVySQ0E8FZG1IG1sRK8QBe7k/ocOmuG9lbaB6b8a13AQ/a7dItetOv+ExnGnpPu89loiBSXZFmH0T59+AYeCMC0O0/uck/NEnr3erBVJU8SdKbk68RhrBEVfn4LzT0NiUk1dlb7HMKANTF+ViqMx1azaEHB6KsgwuQ6E2LATHX79IB2/0bbK8VJyUaiEgEb0MD2UQNSxF9JNxiFuIo7PSI6Zyt5LnzqJ6dwQbe60J7Gv5yQofs1QhtpHN1dT52hceSRhYPra91Y3m7al43HjqOne7FjZFub5FS3NqXKCJCH5kXr5hdbSYdJjUTbca11LdOYNpRv1ghCG3hzzud2nSIE5Fw8AhKDK9UDeuRJ80hOgcWvPmF9fIrJoGvWGUl0rm/HS46ib33DrMVah8D5Khc9OsjVhHnufiHCLtWCREtM3Ex9uXqVB/7flez6XKF+FXxuWVoKSCNd9adW7LB149pOfAAA8d+MmAODlv/ZpfPbTyRNufSbtr+8qfdx88ZaipXduJ51zImPp2nMJwb4qyjKOTpexzCEnJEUctf2532F6N+030kfGOODoenqGerIQRWffHYxM1d6nrJ+evoI27vyAVk6BWTGWSEI3C1b3GUnUZiS349poptfz2CzwHORiYf4AZtjrHj/X9RO3ea5SpUqVr5bsjVscnJ4ZoUX5KbEw27jDyNQj8lsUdsxzcVPj73E74lwmCDJoMvxmGM7l3PHRm2ddNES9drp5zpNN/mw3z2Gbs71y8bILAXvyt7KKkgiGx8eAS9IWl2RSaiT/ZJUqVapUqVKlyuPIP/jgAX7B6Ru63ni/yRO3eZ7tBYsJaFtd3NEKwnjhB3eTleX0hBbVDRpnQANgwT96oIHGcpHmvEjbwVjbiHGC3pnV0H13jLtyA7nv1CIbI+O1DblOdYPUzVJo0IJtiKr80XRqFdd0BLQIicVYCQ3GUVN7jS5qGjDEPcbRgofpsiNxJGfHrwEA5hoj0uJgnqzRz99IFqdnn01WsrXUbexH9H1CB0+OGXMl9SNK4Bg6zQJZdkWLd1VroBpT2aZEcVpFxGNp+ivimkfP8KvnBvc/BD0vUDMUFl0tTGMWZyIAalS2PjAB1ons6rPl3NHh2BNXGFeXIrZR06iUDwjWWmaNL5G2xizXpduNswbHoq/TMk/kbU2rL9YY7xJFzlE5oktt1yn/gMblynidi2cFrd8Hh8+ikb8fTBhh+V5cjLSUo7t8GZc2vRFJaBqKnSOXyNOA+Dg1bqi50VZiCuSyjTuNiSMTKjfR59w8n59jqxtz2ZRvmXIk7xy7WQB3wGW6Et1wh9nkHIq3ru40Hoim2CJdB7hhdhcWYUuzmZF2BI0DTL/tEX2zk7HfNmi7zsUv893n4y39lCPMlFgi0T4lVNGjox8L+hNjdXl57gUT4BEDPiT3IEm6l+Ug+3JezhCijTmi0jok87ql4tGtkh/F+EC0GNFi7BhK7+pfuIgGN6b5bGPvzge1eakYImDM6AVKpXOeqztZmDkPyTjuJBB2MW/0/MOj5MWEljHnCVE8O91obO5aGa4Zmwz9bIq21L5EGN7pcNbr/r21XCMpybQdfD9g3ynmVMbcx+jiFv2T/BE/B+SIn8c8AWBzssaJeNEYt0s+1zSh0baljmTKuo6cBUpGPxrhED1uOnIgiJdYF9FKfdais6k+GVsd4qANzlhTnkt0deyFpCj2to7ivKtIPVFwY9smT8OcbUTkSlDMrm1xcMC/We/0uVmn55xseowbcruwb8r9lCODTTI4Ju4xO8fmMJsvjJMkFB/FXKhXAuYWnb42k/McguoutXht4zhIP5Xj1rhtbAnIvmXjo/TG4cmWdYDr5wBbHZR6z+nREjV3afH8uZnXYH6bnB279EzQdQ8f4J43WZfk9wvunNIDyHSkjezg1gaueHCEFeaVKr/Om3wdGgHMC4/JqR7wUnaC/GuqChtK3qOM9RvXiRQnj5nDowVe/EQ61sh7+MLtNAbDoWSYuNZiFNb65q7oCAH7F0dJHyyumoeMNXE+N3sP0Able8h1o84X42jevuTcGPJ51/ccG4Nsm4DPff0hbt57HYs+xT0Ted7p1TkZ2G4HYMZz8rUIZbfb6UGtppyzL+U6VybxLej6F7cRs6tXcBOPJ+9687xcLo8A/I8AfjVSL/irAH7LarX64nK5/MUA/gCAXwjgSwB+72q1+t53+4wqVapU+SeVh0/Nsfjy6+91MX7eyVvzS+98UpUqVapUqVLl56186egKvnT0tBk2Y26gKNOFxgiUZKJTw3s0o0Du5Q+JNlFX8nSCGMLGiA89/Qy+9THL/rNBnv8sgNcBfBTAFsAfB/C/LpfL7wbwwwD+SwB/GMC3A/ih5XL5udVq9ROPe/MdopaqHwa1gtCS2DOOQfKz9qfCznhg1l/L38tG8Yhd+stywhYvIhJ1cHYqjcEqChvtPk2bB6oZ46XlzqQ1e8M81EVS+HEc1DqjuX55X1qI22YSW2dVyWMKQhMRhF0WavUh+iu3Hc3iTEt1I9cwXrNXCy9wKqzdc6kDc5vOhSHw6sERDj58AwBw9qxcT5IMYdI8EzKKzWbE5sziWgGgIfJP5CmOUEup1pfxUfKuEo4kv9ICWZpF7WcDKIns8Ma+Xflbft9wAXpmltGLBzNCcPExvHrMPhWBjs5Wp301Ry9SjF1ezreXHLl24S3pcBOsfsX9OHQCGmsLZe3OY6eMOT0AXcEFkJcEQHCeCMKYKb8c38+RpwCLoSljAM26PAIxj9/58vM38cF796H0AbRiJk5JOZRMkmRPDY4lcjZLm0DGAu/o4rxl+oNRPqPL/5muNqQYPFB8mcrMWVdZZFpco7qD+3yjtK6yLoXVdue/UfI3MnPYNnLg2dB5unxjZvWj27deI+7kzQyvf+wW5oybdM8MRR/LeloxBss88m/Xy7PxVqJGxTjJay8W+eKcjNZAO25R5mwcc1xdjOz6wisyEvMRwVDF5BlzIVwxlWC/xeygf57j3FAPKpnPStQKwSFEua7g+0hDVg5akuB0X2Z/kKMHiwU6Zm4gC/WNZ+EvHgagW5BBX8rFxlCG6QHDOnEInJylZ5yQvV/mlGHj2bdZP3m/xbwIx8Y8abeCgwKZd1SJbvGMOJlvNDd0wS/RBPPy6bpCL6sHms1tRP7Xa+aEJlptqJB5UCWPr8Cc2C7wXT0KiG4r6z7kM2gGh1bY+4W2Alc1plVQ4a7BKPejh1wQ74GR72E9uDy9whyuWULSfTeDZJEY1sowTzZ8zYrimojtRRKrhRSwLeo0jIOysUeylXPEi3ti1xi6T0b5taxLesmQ0I/WJwztFgZozYSRZIBBscadUkKek+RGsF90FZj+D3BrUznHbyDkTCMlk3Po6SGZoegdttlM1YgNdaKFozHvFzGsqjGZOaAJpj+0DIXOgHt/RdnpoaDIfYhTlFY+G9VxUddJ5C4K6qaTM2Ej+HUUkXbjlUjfrUFMrxfrPeetqro6+Nkjn1MsG4ut5wDTn6JFAQCbcSMXpr7+Y3/mB9N36d+HiwV62eccS2oq5mw+ikmfrh8c41TW0A/E0/PsJOkBcRJF7C1OnWMkIu+bGv8/Di7bRD5vs2/SCzhEYxfXHPXqMMo9j7UUWdM164iqpKhfSpQ6KOpt/BfqfVTwclA8Z1G57uyVE4A3mbtc4z2E5uWx5F1tnpfL5UsAfgmAD61WqzM59psBfBjAdwL48mq1+kNy+o8ul8vvB/BbATz25rlKlSpV/mnIG9efwSvf/m340D+8h0vrN/F2m+dRNop72eY5Kdh9yTUYdfMsm+ZzUejnW908iye2TuL55jm4L1Pxm2fqcN2UM75az9nqfZizsNw8b3+Wm2c9o9g872Fm9ZtsngP6eYcv3vowTq8eXVi/KlWqVKlSpUqV97u8W+T52wB8HsBvXi6XvwXAUwD+IoD/GMlV+3PF+Z8H8BvfzQMePhw1njH4CC6xWnREZPnJXGmhV6ZqzYUolkNaJru2UcuVWXuTFUgZ5RQ9GxxKwI/ceoZoeaNLkMHipC0GlizW6Gn9afUcQNA0nxMU3nppzHyGuFrshn/6vFWTjlp/Q2lxlqK0o0NOyeipcakH8DLqf8CdTUIC7r6c8kY3Yk26dnCIw4WYPeV+GzWpE1VPZTmcH+LgusRniRGuVW8B2ZgMWjm1WJ+tS/RmUIuXmTKLd8X46BAm1jZDdJ3ldELTz2uK7w71VrShQHRS3KH97cvDaxWni+X2xjPJmgVUc4YX3hBaLjaRAWOGUhXw2ejOaSa2Op5paE0ZM17GQvtLFY1rimvg20LGMi+fF6gDQsammw4Wdt/QOKsz2z/grWc/hDs3PpzVP7/uEWghIhYHSbdcO0qbwYOrwo4r/Zqb6U0Imke1ZU5oelv0zJnaY01URtCysWd+V/Z1Wvd9jKfUUzMJsCoRZU8pWV7HaO2lumu8+NwIs/6WPA6mB8eJPjJOAJFG3uZYIMJwfUHEAafumbnXRV5GfhZt4U4o2aetN+dxa+nZ/Dv3oCj1fl4+3o9935BErVcx3hh3GJowrVcRExgDNM+5RmA75AqwvpEYZZ2SgW8b572hpxBdKNrYWe7jxEWmRGR9v+Nt8u9np0mZr8/WFpfKtvjUZ7OyzOcN5nOy4yeEZLEQdJCx04s5FjJvHR6lMXhNchK31GHCyvzgeI07dxLysj5Oc5Nm5EBRt6zseV+YxsFjoivscGPx7XphrqeCnmvvLBbFiQ4xLlHupqCNzjGznAmerNEs7ohofV05VURPEaUfIwI2WT1D4ZnVCjLdNB0aiWOmh13X5HN7OJijo16XnN5Hok8P5FoujM5O7uP0jHHWUl+dQ0U3xogNY7AlXzf7GedF82hxSDFYJVkLakaGFp2sWfiGGU/eCDvxoTCbH84btETf2SaCGp6KR8DZundZVXhfjlNjhOc6hUzjmsqJc4D2BeeBootg+aC3gGN3NsBUPBXEE0DSZ2PeRPRjHgOs62SNXx/0xxDy8a+353K3Cc4rVF1Q0m+6nrRClzmcNa7WYERd86Hoq36OsDUB78tr2GdtXVXOJc2EV8cKFDJPR3cNGr1u3rIP0CtUdBgZxWOjHEWqa+V+rTLzm/5lfXvp86fC66L7la7BXfavs8TxdOvFW+lTPHiaGHEq3reH19P9bjz3XPouHgXqDTKM2j9sSi/WvoN50Vizc+/APZPxQZjjn4w39WgVJHow3wVbENv+Ll1rY9dYu5Mo54ag84sWE91oaxm3XlGFS+8yjsn83GEzagaIcYjYNo9PXvZuN89HAD4J4G8D+EUA5gD+JIA/AeA+gDeL8zcAFngXcqmbYTEjNTpsccGJQGn2ZdNL9yEEIzDSBOz5xBMRLAUPO+5GOnd5bjB3LXYadTuk9hpHdWNROnYdyyT4aIENXZNJvsKNMGttHVrTX8izdOLnueNok23OlWL3dXO70uEX6Z2ogWNvJzc6+cpHtEEiFdeUV7o/19SGqRAPNqe4J+l6YunuosrQXHqPFiSHug4AWHCiXdCFrMFaJla6bW3EVXzQTbQbUI4iPz2DjcMJ1ru5cYLl+5U2CnALpZB9TNwt/TOKiSdPE8WrikVuKE6A6xdcxGjcRmqTOBqpkKVnKzc6bjFeFqKoSnKbCXq+r66v2YTApKyLdhyvvIr3UJ6Li9oiL59X5dN0QG47ow1XEnzwRlMylqlYWTbivvfqmRAP3bmT7q6Tpywmuw7zuSzuufCXxdbBoaR7m89VcTdN6s8cvmeiH842Ft7A3Jun3IjQpVAmwkRQkxsQmiK1SROBAG70Wb9iY6ZtHC/aW7grkj4oXfS0jdWtivrFFjq84VAYZiz5lD2kJOnxqaJisckt+/MYoi64GuTvd6KL4NPP5K5sqmpjuHB8yq9yuwBrg6zoxQYnjdup62+xEbvg+tJ12h+3TVvxLH9T/479j1pRlxu2eKga6fS12Ngu24aOrDbSg86d2kd14ZWODgPQS/rEcSQhlcyXXJCNo/YLzlEMMWKaK7jymaFNri93qa51mmJzQOH923mnRuXFnPl/83G32fQY+pzMii6inC8ZmrKObhGvro1cVzjdXZAUmetpPj6C63+N24ikK7kJsXvrgk8fFaS+rn8V7rdRXfYdWeNZOccV5UKjayNIWsx7qqdYTH5vFIQwwjCZ/xn+0TY4GOmWzc4jruxK8Md2bI20j+F+ml95o99P19x8s72KsSkblrM4qvGSIIu2setbLHsnZVeiNJkT5l2HjbTtyemptOVpVt8F55Rg6cR6KfMgKb642O97C2ckqSo3Hb1sjE/FUNu0LZo5Nyt8n7nlvcU4WXvk5Ilu3LrUsDbdFmujGBG9EQ8wPe/1CYDYj5MlV+l6m9YS6cdxLNemck1geY1sWM8FjVOuKBNSR7eGSTVVq/5QhBKpYTu4db3uAzjXs0/xvQYFmrpGtkayQQ66d0jXnvanOIupfxzeFIPOVdlgd9ZXF5LC8IWb6X4ff/HFdI70iTuvvpaevVkXlbc62JxndfTzYCp73l8iGjM2FJNWHkJa/DgJ/wsOlCrmbX5yPnJLy8Ikqoa2bBYtX2e+qJzMvofzHDB8O3nUCvJR8lA+f8dqtXpjtVr9DIDfDeBXITn9zYvz5wDeeJfPqFKlSpUqVapUqVKlSpUqVZ4oebfI8+eRNtwtzNDMrNKfBfDvFee/CODld/OAvbCvlo5EGJabqmjJDVEsvVKKZh4wF7ciWsSGsdf7AMnKRTftzZrF15wP8ilWlq5Va5u6W4vQwjmEUVMpmBmCSIBYq+JghEXqSsRraJ2hpW5Ua6Aml+elzt2AriBDz3MZVM/ymuWYFt2hsDaGxupbWhXVDUfLyzqNCIQg+Ay6IanZLBoaAhIVyJOUCM5a6kzTYtzRYwCUaCaiwaH4HrUNrXfpRkfX0vGrV68rGkBLNV28RnHxOjkjSdngrJYkSMst7snhoUS5pHqZP3R+RpnOIbdr5aggTxnHAol1OSAmxHDGrmFIzARxlpNHnurKUHomOJfR0vVUkQ5nqbQ/aV3N0YYMVS5BrgLF8M9rChcxFFZIB65MLJOT3EGwsWf9MC+Ld+sxy3VxbgyK2qqBWX5TtFYQs36zxumDVI67BQpJadsWnYwZRSTULVVQByHAuXrtGuaCXDMEY81xFkkOche3X0ljpj9jWrC8L10Irss7M6Ova3MDjbM2Mauv89ooXDtLd7cIh5IVJEeeDHCM+TMoU7AwonQBLL1BPB3PlHAsR/vSSy3xxmIMxegs1qW929+7RDrL27pyaYWIdpWeGfb8Sf8t3OkDgp47YtoGvFXpfvu2037ZtJMymYX/UQREqtuyOxSwUnY8/W0kUeIeGQ1bKJH1CSmTpiuKk3KUHhXRfWG7KfGn9me5RReVsKiV365fE3LMa7cAAN280bn87t3bAIDXvvAFAMDzNz4BADi6dlXq1KOXNF29eFA9OE165FQ+42aYuLmWf3jEk3OxMcjSy8LDfYLa8jbsL94t36Cv7OqSMA1Nk6dL8yeJNDAvi1AqUBFLyznoOmos0EbvuqzouZIysTgMf6NH0KBrNCM9Sneci/fAYtEiaGqvLruPVpNrzGGt6xRxMJikkQwIihRz/XRymq55cHwix6MicppaTso8tFLvdpByNhpix/khCrJ9GiQF6DiqZwdRb7pgb9ay9tI0of0EnYb2eUi9Gxcigqx+E90WLXzQfHdl/cR0RaOP3bE5RG6c3TdLVTpZe1hf07kj5P3XnjJdd5c6LF9fFI1wwcKFOmJQd+tcD6+dVwf3GuqlV4Y1BVufm+Rtoik32wZHt+ZFsZLuuHd2Kufawiys00kP/sbn5fI81CC9zTY71pReFy4czK9s5UerBIAQ2om3oOl+Q6RbDQflmn66PqYbvh9PeSH4XkebMxleqte49W3Mj5Vod3SdIrq0e3uX9vG48m43z/8PgNcA/NHlcvkbAFwG8N8A+CEAPwDg9yyXy98B4A8B+BUAvgvAv/4un1GlSpUqVapUqVKlSpUqVao8UfKuNs+r1ep8uVz+cwB+H4C/D6AD8OcA/PbVanW6XC5/JYD/CcDvQcrz/NtWq9VfeTfPeNgPatFKgfO5aUORjiBWQbUotBpLw3gPEktompumUU6cdkE0Vb4XVsc4wtKHFFCCp2XXmKGQo7+GLI4IYvHrxBLUahxiqoOmwgKcMSb36PexWWp5LdCVMmgkhKmFVNFHko45UgcNXQlEq/O48hhHoHimEVwYGq7kbgyMZpyKxnhpgdUCRNIkXrHWNCVBLfRdSzRu4auCGI40tue5NhEpPPexW3nbSBle/eJ9vPZaQuw2JySLY/+QNh6N1CUUMeNqbdX2nMZtlvCNRzomMbtMTeFQQ0M4L47x9HGHsUCymtwILJdcjBaaJTa4IhfQE8Uh4pM0B4V12se5GF43tcAaisJyXIzcp7x9Rfn0Pp4EJUeTJmA6L4l2Hzs2RSGjveK8WFoJQ6a7Nk+Tpc90yAlrd7ZmPFrq12MRB5oI5hgXRdIdsd5K3x/igNjnKIYhxURdrBzqoUAivYleDZM+WrZI4qCgZZ3jQ55VcDUot4I8XRshk0Z1QoxjcY7cX1PXOSIT1TmGNvIHAxfG4tz89qm75KgUTzF1Hw290PdIPR/1WoeL8GT/oTcM/phaz3mK1H/0nkCiG8p35T+LeMNYzgnRyq6gjyKTRmKTznVxhwUCYLUczSPEHpGXzDVDqbsmoyzGAvWAwWVatQs8Y4rBmL3ekL/sWCAmaWzn8yK9QvjuOeefHR/reHpwLx17+Qu3AQBN+BQAYN7NNa51HDimZZw0ibSMqftuXT3AdYlbnF9Onxtx4nv1H6R5qUPAmRy7/YW7AICB8bmqyk3nWv9n2xT9EMEhL/LB+cyhzUXI9MSLwb+CWPw15UmIzimIrmZcc+W6I6JRd5eGayOmDHVef0boKeOeBLGMN9e51Ao0XqDX03Ncn45535ysB1zZqY/JccGY+6Zp1TOO/DlBEG32peOzNY7vp/7AFKs6x0902qhDW2NkSazXMPbevBjX4s2wGSXGWecAonMLh+rL2opdSHXQoN6M5Ixgn+h13UNxvaNx7Q6Yx4ibk1Hcr9x4BNi76oforrA2SQSJ7taYrqc8okj0kx6GOqfQY8E9JFyIwKa+qv1V1xq5fhoH4zBqCj6Ei7SkXxWlZ+VIqqaNSkxa2TnqQaVjwZF4FvcfhEPCuJrMYzFOPPby95POKcvLNXD6TB6vLHO+BjGasFHHdFMQkroNhz2/RJ71O3kwevXwUE8T+ewU2bYxF4vUVC3y9zOMG2wG4R+IwLi9CuCX4nHk3SLPWK1W9wD8ukf89mkAv/zd3rNKlSpVqlSpUqVKlSpVqlR5kuVdb56/2hL29lxcRNRUF0R2FPlokrWAlqIxNhprQT/3+aKMZwYajdllvCuRRXmkWkDhTXLpHGXvMyuuGYBzBFCp26NvZF6fvvVinW5bs86V6X+UTXw0CzGZfGlZ03RMMlSuAAAgAElEQVQHueEfcTT7zyTVhVhk+iFOWfQKq6VHcSz5uVg0GWtD5Lht1LJnaEqOADCeO4To4m9yC7YhWRZz0tP61Kd3v5HPB6fHatUahxQPdGd9L91IUl29cPM5AMCNwwUOP55i1h48YDqhnO347GSNtTAsE1EIxbtj/+malhm5pky63iBYBuDobyX64+IsCwRVQ0jj6FCzAh1wKFf+h5ccGUsgcI7EqCXWxYooi7OmYbAyZ8+KzmpZIG1agujqU1gbLX6TYjF2ZljmM/WFuNrlaNmUwXFE2e6xRG8C8vfnfjTrKPtscOjgRRBn+jRDLtEP+eyMfZ5/lBbikUzcgkAFVw5FZxSVMgbN6PQGAMtGVaJTES7Ymb/laHLbBbQSp92SKZTMyDLueinfZn2qMfGW9oSWYqI4hu6UDMbGFGwW5ImFXfvP9KXFAs1XcSiGR5h5DPBWa39ZjpZlVALaNz2k4YvpT84+3MRjaO5kWOk0lI+z9H7zClovtHdobZh7dkSNgLXxYfGtWkBMhfNh+lYuIrzXSxlbP7ltyJ4uH9OxaKhjqdDKPuHmUO36eVx5yhjGeTV/1kRvhlZ/oyNVqe6GsUd/nMZn0+QNeO/2bQDA7S+kOMQfQwTjDi1tZOFl0rXm6VCwCrfq6WH1tXjvfD0wujUIy0pOkPmBoN8uhQ7XTVyXKDM1U7no3G+9lHVhfbWNXAxr6c2AIuYzzWeTCSOrS4TvFqWnjipx/ch4AVzZPbJriF+OciliSSoJ5/lwpmg+75M+h35AI+u4gwNJbShrh1a8hg7nLW69mNYh5LSw1E/SJ6QkXTtauk7VPVKewY6fnCZG8E//VPo8vnucNSPbrIlzxwsD+Zxn90Vs0RaoKhE/Xb6Qj2gctF+wL2hWGtXzbvw3eRtz2jbG7968PnRI5945dsTEANR8rg/wOmMsT05fm9alqCrmb50eLe1ZGPN8AjafW38svfDsYXJqCBq7zhhgtvFYjOOME0Tvc7G+9w+xli77qp+LyvK5OHPPg3DBudof42hrQS2IjFe3btRY+5B7ehrLfXTvKO/rpl/4fkcdn5ohTVj4NwWi74Xja2SbO84LbZ9hxDacT659lFy4tK5SpUqVKlWqVKlSpUqVKlWqmDxxyPN22GJ0lrVQICa0YsSB8cKGWNDqO6iliD8RDd6gZAZUCx2BbWdZJNrbKZLTZPdrQkAUy8jQi+WZrInObE5LCy3McQh6vS9EaBq1QumzCta+1C7pnI20BevZmJkxnYc4QSbJuq05Z1tDJgY1SuWWGx+P25TWLKI0g1mnaBnls/gLEWfN0+hi7DTOqLBUtm3jEFexvtPCyTi1cVBL1xce3E7n3OEj0vs5OU6xQJ944Tn1YujUUipsx4KqXb96FR37m5R9I3WixXiQvJH3j08wrCVP6ZC/z86jEGrQzC3shl56655Caum+F6CEhuYRCWN8ZC7BoQ5BLaQlvBSdNTB7FLx9Ta3H7P+05o+FBT9MGW9LxCl5MfB0Wj15bmnxNNbOR4DBqR0npsDygEPeQvmM/JrgUUz9JS+Dxni5uPdQImMXIIqT+OoLUHVFsieIuDWo/eTLbH0qhKAIkCIx+upzVDnpFB8/7u4r+qTtGly7fgMAcPVa4ha4ejUh0IuZtIkUc9gOmtHgVFDpzYnE5YlXx/0HD7AhayjDIks4k7GGneXtnOYVd22k7zX3LChRiKS58/tNAqOdnX7UPg79jdeU+UiHAg02r4YRZZ8cPfIPqooSmeMTizGaKiw/lkh7o6daTy8GY8mqDBfBXbbFRchvwcA7ZTj315snkbtdKmcsjpW8Aa7QEzRJvS94POrcGVvGk+boaHBIYhnfO15Ub69jAEWF2Z5NiG79kBVdmZzJsB/cnKxR/g4FASA5o/PxqTqimFMDgrY7+6jOux5ZLepwdJjmsZuHac47OjpCu0h/N/S2Eo6RKIjbsDGuBuYeJjq9Zh5lQSOHflRvmVHQTF4z6lrB0KZGmdZtbQUYguW96NTbomAHzzIm6Dsq9GeGQBf9l6dMxkCwPkUPraIO3/QtL+DFF1J+3WuiE5sZPR/JKTOgjOVk0hp99+epje7fP8bJibB0i27cMHPISYqbPluf4VTOuXeckGfGLFNnK6A3DI79PB3r5unZ9BZo2xZz6QPkq1EHCF1kpo9FO2Ad6OEg+bbV88Hmc+MNKeJ7G9NPrP+IfB1hy+PcYymT8lXBvvPsVvtSHtecSBlYQXoA8Q62rlIvELfXADxLuVubK5t6ru+UWX6M2l7cDzy6r16ga+lZqA+PmOR+1zXldM2kHqzFs/yUZRk08kYtx8c4Qvcrpk+L+RcuJlv3QdJ+ra9fUSzVc7y/jZsSjZ6s80LjyiqlafP46JHeNBi1T3dNg5YL/8eQC3pjlSpVqlSpUqVKlSpVqlSpUsXLE4c8j9tRczGPQ1RLAZFdtTU4S3M6bvmF9V6OETXJNA7HYokKqxQshx5z8Uq4kFpX+n5w6KDcF/xNkOgYEIKUXZgQycw9EPmgxXjoDQHs+FseVxKC5dcb5Rm0rA1kYXRsuxr7NzJ+OY9fCqFT1JjtR2t8yTIe2kYtQkSIGOushrtgVsW2Yznyd9VrXK7DGBURN4sfy6RxhmokFMuXlLttW4tpUnRAmlHe2f3jxFoaf6pHO0+W4RvPptjnF27dTOVSS9uIhZwznx1JWedshVRvsRifocfZw/Re795NFuGT+8kaTDbl2PfaT5SVuWSJdH8rqDyBbXlyvOhP+V6gcvBx5fJBcM+haRNmxRJhy1Cl3ExoaAGPNu78HCHydPZmOMz7R5hYG425NbpxUBT0bSyB7BuG0JZooQFNF7RtCdiVd49xctI032684O/8XWXs3hPE1MaMlkJjp2kpTr8oe3cIF7CR5u/Os4GXNWwKJu04RNx9NeWvvfMqc0kyblO8NwTJms/nODxIY+hAjt1YpvF2hEN5ToM1eRskf+XJGwlBOTlOsXunD4TX4P4xzshQqzpRYkVlTLXz7gI2+7wf+vESHvFeLwq/VBbVsk8khZcd69iXirkh9WNBmJiBoc3f75iN7WLsTVAWV8CQT+UeJYhFecoa5/mxS/3B8qE47tCKAjH2+dkNOb3YmwmeLUB1l3z39yVqVOiVpvQky308pBw5tOiR2FK9tUU7jg55Ms8zXuN0kaLayM612FvqmxaW2ztHZNRzJASHhnK+zZ9tOs2UhaIr5Ie5UNK59yQ29p7GyL6m44HeVYdHKTc1xzHzDYd2gQP5TVJeo10IoqN5ZC2vfSteKdjJ50w8595K8+Pp2QYb8d46OU3j/f5x+lyfCLfN6LNa5ANhLPpWCK1jls+qnbdC8c7GR4yP9OwcOTXvyF7a4QY+/swLAFIKGgDYQJB2slvvAka2BXUs4zd3gtgLOv/gwQO8eifpwnnhPXQi64r12UbXXY2s787Eq2eUSvV9+pw33QRVi5LHulc92OP0ZJO3E/V7EWvfdS068apoF5L9pGBTHzHqWm1QrwjxQmBcPb/3g57DdSPRcyK1ITSYt8VYLMFaIuYNJnNxmZs8+AudzgLcWiYGNIqCFjwphRJpMGb6MZ3EZznPQDmFXhqGtPu5mHor77ghpzdBCE1WVsDzI3HPxHcXHBs4+7boUVdcGzt5u+n+IIuJtjECAMOGa0rnRRCKNhjyOQ+wrDuWbpvvvohTD9Hdr9Sf1g7WByHPtNh6uLM9n0ETwmQ9/XbyxG2et+fbbBPHCYGtyoUiF21KVBUa21A7txF3KSIaexnq8lMQhzg3riaboICBrjoD3ZGCLXa4oSsWb13TYhQFthFX83BIgwAnX3lmdG6PMplQaQ10a0REoNtDSbITSZjWSblbMO1HGYAfNc3D6BbmbCeqf4oMyiHqZl5pJRwpCSszZ1oddauW++bcONniioqjLd2FEFC6j6hrTObKki9A+NLZVp3Uux96nG7ShEzisbv3XgMAvHz3drpmGHEwTwv8688m99RveuGbAADXPnRd7pcmjCN0OLqU/r710fRb/9HUOscPxaXq/n08eJAW/seyse5PmX6rzerdNI2+CCNRkPbiQqpp9KCRS7BN9WK9VMcT8vvoc2Bu27rVfYTbZl6eYoVSbEbST7lrkv1gqke7jj5TxqQnL9FJMl/M+41xnPrfyVf2Cb8xuXhVFV27lRux0pikSjuYjii9rDOelDG/ztqfDw/2Xf8ei0tsUijmGfcevMsYdQzLV27E7Hs5eUd1B3VtooYsGuPSuRsx5J3dTf0cYwT5ZIz8MH2nK+vR0REOr6Ux8+yzaYN9+HRauN+68s0AgKe+Ph3fYQ893krPkI32/a+khf/9e4kc8MG9Bzg7k4WWumezv+SLvxhdUji/CUoXSRWmYS+65dMFheu3RYiNEXy5NpPFD4maGrpXKnkKJhtNim4bVaEa6Zk3IvtbeLfed5IQBjUUU0pPydxOVC6C5LjXHWVoUvYt/VG2sTkWclHTXNTZ5dy83k22fC3fnekKe8n5pFSSDIYwDSIJxfgAzHUyoCnO9jqbX3OXznLzHENQwyYl+kUCbPliq5Ts7PS/m5OtJWwhndU32gXcgJ2e5OmUnPa096jrMgmFosG8nZtBTVzWD4/SnHr1WvpcHKbPpptjEazuAHAq/ZAputKajuOUYyUPH/Ju3La5kEPqrs01ielGNayN2rH9hzNP2A2pwxrRcZ/61N/A6Wkynn/iRXHfvpLWDi2SDgszIz8N2sul3Wait55O3z/xiTmOrqb2uX8/6bdj2dgeHR5pO2i4YJMb9/kOuf4bhx6bDdfK8l6ENK6bu/5XzA+cg7lW9SEo5i1fGFAXTNllIYHs//NOjKvSTw6pwA7ipI3V3b93hgstj4RvctNWvGeEQfcInkDT3T6NpXLNQSBJU6XZ+NKQyo5hoPlmdYzRzcF0T0dW/zCYIUadi6n7i4Xy4NYf5fzvCfEsxAvZp00/9k71OqopzkNeuZXrE53X0nclmotQkubMdunvD78hLddTLO/o1ie5O7+BHDav2Rsr1juOFFmv0/IUpKzR1lW2/orA7vHmymltqlSpUqVKlSpVqlSpUqVKlSoTme12u3c+62sgn/nMZ74ZwGd+cPV9OHkzIQqhMWRX3UfkfCLSZjkdjcyqsNKY+ScoUg1FrGlVyV2dYuwdqUGOaJs1PkzQo7bN7RHt2OKoS75NmxNxVRFg97RPFkUlrgIQm9zqo2gX3XMc6mipVQjxyH1oVTaeJUcUlqMjEd6Klz4XQhjCRysByRAxP0jtRPIKOgaotXAcFU1VS9CExUo+Gmc9KlJ8qOt4NGuogvw9c0jIpW2nZacrEduiE2toJ5an2Ft5aFm/KhZxiEW2HwZFz6+Kdfy5m4ko6dpR+jw4OtAytKS/3+O7p5WLVvmgSP0JEtp95x/fSZ+vpD5AxCwOo5W5Y9L3HOFJdFIFYiqfBY9Yai91W+K5OdIW3N+lOc1AJI9i5uZFPxysNDnSVKYOCQi5W6aTiauys5iaG0+OB40wckEdHwahwjeAJz0ydLk41z1Czyjc0uD0i1WlsFxm8EVBmlS8tJIoKt2P5eQBQ4EmacomKJ8beOVLKkjKYgzmoTPm9fM1akqEriQwcm02unedfsvbZhxHRU6ILpgHSur71EVH16/jxo2EUl+9nlxGn5WQij0JqXiIU7z2MLmVf/bHbwMATh+si7bwL/XitrDIgtERoAR/qqJxwb37sg8ZimlIg45lfVaO9LRta7qUrmaPMHF7jDUbpvBzQ3Somxwr3SPMrWOCYhbOCFKY8vpcJu7mgBtXJSmQ0+8T7xTqT9hrK1DaCcEXQvan+7i4uOqKmM8x+rOvl9avWFcgKCJmpIIsZ1G3OGZ6Nzs3lKi1L0eOkGVoycSzoOiHwXSWkghNrgmYqEJ1L8/LF71nREFWZJUaVTf0guYNSiSaI2whNDrO6Gmnawh1QY9FH/TVLcZvHCfjgULEs1vMJ/XqObYHopuimzYb9axBhlxD3VPjOOJkTWQ4lfnmrY8DAF74+C0AwHMvPI/5vqT6I+KstROUVdxKgyTRAYD+oZCxbUi4KF5sJ6c4W1N/igv8sXgNiGv32VnydFufrjUlp64FpRl1mRaDQz/zdbelp5S2GS2VFlMl2rLAOkPp1Vh6LjUOoTSPRIYf0GXc1u9NkdZNF3OqyqWvjT3Gct1ZeGSMw6ApFodC1/I5oY12TJHsQvc4XaYhTtov2E9sv0JitMZgaSkXr2FdXMhiCSebf/N0TnHeAamc/MF0balPPcpcLgUVjVeXffG6aIJ6u+o64CLdr+MMmWTTT1GviRecW2/Eom/yXPbDNsWrArC+PiXd9XOYtcnV+TP4NS9+FwC89NJLL/0k3kYeMS1XqVKlSpUqVapUqVKlSpUqVShPXMwzMHMIUTQiD/l1YlFkDBCCS/shlh1NSWSWq9JqXFrLzJpgcVZ6rMlTXsRh0FhVS/Ae/SmITcSrd+4AAI5fSVbA67cSEt1cldhkUv03QdFtLXMR/zn2A4L81oulk3UhIUQeKyuW1iLNkFpvQoSEMGhaJ0qrViCpXNeoRW4eifQqi1oq32jwhRl38hhlpgxo4GL2+jw2exj4PhotRy9t028KlAqDWqrZ8Izv2fTJsihhPZg3ncU/zvmZ3sOBpOZo5oeK/rKbbVzMOQCMJANDQLOQOuzlyOIIpicJamF+FundX/9IQtE+/pFUvrM3U9+4e/8Obr+WYqfW62RhbqLEEHW+jxaQZGnxcwhhKKyNpURXz/IPf7vGWU/TZ07sFaY3uYCs7AL8oCj6hNTKFTw0pcqS/u2MqoacPiJ2NEZD94o0WzlCyedroGxePWf9ZTlc2E1e9jBFPyfx5SF7s/6QHXMHlMBEK3aRFT6vp6b9QC7BVc97rvhH+hRkU6u+v1NJfFXEH7l+2M1JRlQgYkpImL7fv30bt1/5gquX1eJACGva1vom0S5FjhVx08YxVFABvxyybJrWzRe5LmzcfUoimQlpmT1APW3GgnyKjxkGS9/3DsMWEUYIZ5wFLB/r7+JxiTApGiJlGQ0lGYv+MgEUo0uNot4k/ptDcX1hi2MeOTWUls/Kx9kI3xelXtSCReM0sLFtoeh5OWUwZjWL5bytRbCrtH6lOvB9/ZFK1sfu5efY9RbtbUKdUCpJaHknJDcldOT7aMN6ss3Lt2drmaDkX+UDGq+sszooyVBoEmoHYC5jcD4v+oU+x9HTOV2TnRyASRrARw2Q0EwaRZ9AD8b5HFcPGHudPFjmjMk+kJjOS/T8AsaHQmR2L5F4jWe5XhhiVI+4EyE2PJb0UT/6Yz+RPn/kU4p8M977mnA+XL8unA8Sh3xwdIT5UzLvC6fK/JKU6wNpDXHj2QF9JCqd1hHHQrB4LGU4Ee+6ftOrtyA9Ffm52TAV2YBeuHaOhbCNay564im5Wkbw1co5RCTTOTFGXTOU85jqu97GhekpXWyl3xSJHcC0olweZ7wIriwhON1YopnyeXC4wFG4KuUQBFU5ZDiPjYquopgPW3m2otZNVK6NXts4SnmdfqEHkM4lfLY0Dr0vGucNpvouX4N5sZEsbcH1sXpxAqWXSqHKZdWTtxPD6dVziXHOQ5wgxaYrTK/a+oTPzHVQjGEyhnWOKebkEOD2buW8Jl4RLm3uRL8VOjvG6PRIwHb/8T2xHzUvV6lSpUqVKlWqVKlSpUqVKlVEnjjk+VIb0O7E4henSI5azWNhpQ0BnpEtnSPfB7NuqR2iYKa1GA9aXVpMYqaLBOOxacxWrFYeKTup+SOUdbYXSy7jZ1pFeonMGmO4hR0SQbAi0CrTiaVvEg/G+G0XM8Gy0yplyeqh1jyN52EaBsZmMM6kDQqitMoSna4dBtLuR4c6ieWqY5xK+k6r3DCOYLh2U5gm+Q5TDEkeCzafz+V6s9gNGl9lVlTfFmRIbEfgqrBYDkUM4FrihuZNowgRrZbHxydSznT8qlirjw4OzbqoFKj5ex1mUevA6GciTwcSr3n4VLIu3/zoDXzio8lafOdLdwAAr752FwBw/+6J1CGgo5cB2H4NGwyZOOZRQ7nGyTkFTmQokPtjzI13zpiX40kB0cZMIQYoBDd0cwQbefdJKKsiTjlix1PGaGmALMVXGUMo/bGNhkQWZ/gzS+ZcQ0eKMZoxkReWUo+eF0GF3j7qr3XA+ASZNOu5Md97Tof0kz2Tp5fp4vTGlufCxbfLR2FaDS67gJUvjz2z7uLbJPfI8DH3msmA5xaxz1rdtsGiXfjiQfWCsrIa86jFZvPOOboZ4VHCmF3jmc4tdo1PzOPUfGyi643+ts76bfU1gC1HUGOcjqfJuHD3sDMLy7+eG9RzR9ugzce6xiy6O46qW60tAOrsvIOMBcqn8eCIqueMyiNHKiOgbVkkF4CyJ3v0l4gV26AYgyOQ6Sz477yPp6ov3pU90dpTdax6GLBOVocYC84UrWdxPwRX9wIR02I2rp30UFZOZae9UK/IGFC09aIULHmfiNkvF/c/P+QttpGPKHQYYjmleCA8O5BYlHmdtHE5ycD6jLWW6UJ/TQiN82DJ25HcCuvbD3A3PMjqyzRlGjspfAvzwwUO50Q80zPni7SGOJR1wOHBHAuJBY0zi2QGrE816HF2nv4+Wydk9+wk8ftEpqgSRu27D87sSpnTjwS1vip8K/ODBeZkuBZU+uoHEpK9YQz165K6arPBRtZGjJPmeod8K2dna42nvnZDzlEPPimLxAj3jcVV67qHCK3q++m4Lee8LOUk+1LhDQKd+1sdV2VijX5kOacZOmx42bwDAN1Bh7ly5OAREozJPORlnusajOvmwXQf44217EmGYdDfNK5ffuO+gOvJddyoDgxE/pt8DzH2o66vWZcud8JUPe21jA7BYkxlmQiKNFu6h1D1H9DJWpe6UVd9clIfR/TmOpBd771+Sx1tazlpv9YY3JkpaJjEW7uXSH0+SWNXrhHDBH1/XKnIc5UqVapUqVKlSpUqVapUqfIO8sQhz9hBTROhaRRRVOtgk1sbmWstwHJmMvZZ2fGy/M+l5UGsGIy9YK6/ptFYgZ5Jlss4sKZR84nGSig74VyOD5gv0jMWEuPMOrWMbz7gNa0i2L3EsLAOjN8OYVQLn+axK4BxY5KLlrRcmbjlpwy9KExBZL4UqxLj6IbRWJ6NlZGxv2wUF2PL+7REyMUap3EuQLdggXKLkyLtGKYs5/yU1zIMAwb5QmuesnfKubTKJYRS4njIjCgn9T1jgNZqSe8kIPxALM9rsdreefCK3LfBNz3/PABgIbmhmYhd433aDthjW+YQAuPKlAUdDa5KXPTRMyke58VnEmvn3U+mWOiXX7mN49v3pYFo3S6s8vpHY7+pITu3mY1wikDRACJQxrhqCERh8Uf5Ysy6qIhEEe+b0On8oYZqXsTizXNyK6ZaKl18r+btVA4ELZXc31m5i1zkHkQ0y3d+fZkfGDFC1UYJQvLKGF1Yes5iWyK9ybLN9ucprt2A3Mqq6FmOIsUM6cwLpMe1jeyZE2RIj0+9GJoiI4EhRoOhU+rcU1jAM+hUnvEo9vNgeJjF7A76G2/YTK4n+6nMCariohZsLLyYQoZaFaywZrJPtYxWdnsy3x3no6jPLplBLVbZjY9Yvqu8mobQjjDUliy9nDuJhF6AOhbM0j4HsY3bAlWR710YFNXjbxrzR7SF+U9dXLlNMdLfHHBpmR/Y/nm9vSeGdc2yMagHG4SheI8TDxTHzD9Bp4vxFW39YGOv8JS5YJyVaLLFAkfnZUAvhvwF+bH6CIoHd98R9JCJ5TmZ/ivrletwLyUT90R/RpuvxqIvsF+ni0odndcp0zNFH7go53I5tCdl11c2To5l8w6ArmsU5S7Lyfmyl7jh05NT3J2gZxd8BiKAMlYWEr98kDxmDg8OMBc0+0Diqued/HY1zfWtfG8a4GSd9NuZjK+7d18FAPzET/54un/T4kCyn5D34UDuc3RIHgiJRz64qsi1sbqzvkSZ1zg7NYZxAFhLDDTRaa6F+77X39g0jIU9ljjrod/AVANfDudmm1P0eBmrr2OcXnU2d1pu3/S1LXRtArLzDlNyFAybEcOGdRjdmW78urVHOaYb1eX0NBjdOMivof5smw5zcgHIO2MedPWOoPfkGNWjk2zqXDu31L3BvDd1nyP3WUsse+8JSogUFwsVTRIU/Jot19X2SV3X2DjVPQLnH1sPsKxavsLbJWRotxwrllhsh2HYWH/QOl2wxlH1Th2b7928l53XK3t4fAnvfEqVKlWqVKlSpUqVKlWqVKny81ueOOT5fLtVS3YbDdlQC4nGBOdIVoZVFb71jOEN0Vuf5OoCTVZD5RixGZzFBlMGUgxm9eXBEZJXtDFUQ3NUz4fsGUoKt6G1Kmq9FFEnwjGQvc/QhtYbeWEsc7QAhiZkyKG1k0M8YkTp9E+DbiPmKCK/QxwRFaGPUgaxZDEvXtMiNkP2DFq5aHGipQ2NQx1oOXRMealuLuZMGUKlvpofOxj6I21C1Lxke2ybVi1xbC9Wf0627abBWiyvLE/fEU2W/LNibew3A37q1dcAALeu3wAAXD8UBkeyKA4RWEi77ekbkDaRsqg1bjDrO9tgm/467JIl+xMvfhw/JQg48zoORDMFPVePhdCr10IJ35ijgYt3LVmUHSeAtjuRtCI2zqz7Dn1zqBtgVkvPxFkikkGRYy0EyC4Qtd+WY91MiGUe1VBYUj0qEmOOPgQfA1yiPBMt4dApPVKYTDMoOz/HYpPtCVqXqUYqxJ9TIJVqfB8vsPIWRXco2iQt+5g/OzRxUk/qarN6s28EWBsXz+RNRivRNM94/mxflDLeOkPGSmBNdRqRSUNfaG1vkPcXQ8GMtVeRE/1NvGFgelyBdtERh4eCKJCOf2yS5RzAep3iLYl8dKJ7usVCUQtlsy8nLRY8NhO0VvvQaO9VxxNcHkw4JokMRXSgNuwAABRxSURBVCPakL9PC6VuEJrc00HLOxboo2u/RwGo/i1P0NryvbiClMhxGUvu7x1Lb5VgY9F4TcqFgY0bpbKwiyblLZy23JzFPhrtO3WYDrT8vtmXYvgbIkPd0Vh5ClTZhkV0ZebB3DsnuPMtVzXLnCNGSTfmg1rRR2V5d5lNLqyfr4v1DotxlPu516Jlb/Leo3rUeVTpGQpa5v05XVoqppxOWdc/aCzeXa/I9VbGuM54T1lD9BJHfA/3dD1m3D18j2wjzttBnz/vOG654EvnrNc9Tk7W0lAP5PqETjMjC2NFuzbgYJH+PhRU+tqR8LZcJQK6wPz6kRSDMc6sk3wGrp1G9Y5knPFmTd0mn5sBG7aBIKfrsxTr/eC0z288DMrsPRYxrIbiRpujJCl3n6siW4+nL3JdMd9G9+70OrcedhIcE7RbGqRPKecgjOcIQQf1xvE+6G/yHG5pTk+FY0e8G9s51/XGQdEJHxHjmqkymOWncV4vltc5fV80+d6hHwbVhdoP2VddxgWEPPONrQG5BmM79tpH2y7nBAg6FwRDfyeB77b+MYqcgmfGiGX0aMnbUq73EExX2FpBPD/Zt3R+jBdRazyWPHGbZ2BPF8ZhHBzphXQevnQOarkqBls4ccPDoHp1pW5soiEhivaPYuKOGJ0yzTc83l1ICa9Er5G+H+JG17Yt+lGIFei9zIGgpCyNXNsoCVCnlPuy6HMKpVOXi3RdL+4ZOpm4qmgicX7nlUreNdqkWSiF0schIGgKmLa4r46LfnAGD04QkjJMSA+oSGOM5pamfiP5YkP9YeFdCdNvdI9ShgRAyac42anbK108Y9B3RBcTdVNxi7+59rc0QazXTMeQV3jetrpRf+X2nfTbrfRxQ9JQpIJJe8lGmOWhuyaV2FgYbABLu8NONm8b/Ipv+ab0m/z0yr3bAIBXX341q8sAIAzsi+yAxeIK9h5VjzjXHF7Dds+pcbz4++aThp4RrY+Wm4JQrjzd5mtwy5b0kbv7hzCi3EDot3LBiAAzt+V9YMyenS/Irb0mK1G9TyzP1foG512dK38VH3ZRbP70FHc/W8zmi77MJ7bYoBvREE/hxONTLuWGisw7svQdLstOowkukLIho1uEqmot3Pp00RumLqx6G/+eik1QWW43KQ+lUUW/2f30LrpBtEk3lbtxk6gubQAAi2sp/OKFj38SAPD8lQ9P3MJex5cBAJ/96ZSG67XPv4az+ykkg+OeafPmXFSZ7zlKw2c5B0QAccz18VAYVDNXat0FIbsGF20SyvlGPeR8mbhRzOcx7YcBek4D129d+WJw/QRZcdxD+choRi79iWUojN+uDuXmO7fNFyEnaiWxa23DWfZ8jim/+MtuZ9d63TNxJ88rHlxbmY7IE3p6ssJQ9v9ifMTsf9vAAaavQnRtzceTHKqI+4m2HDPDgj4r34UkUjb2gXyNxfXfBZyWrhD59+Cub7Xdi3ES3HssZj81sLFMIToDE4vOtqHxcLo3sLBB2RQB2mdCufTWa9l+FiJnG26u81jvRjdc1pb5Gon6at0POD6Wddd4X86RtZLol6PDBQ4WORhycEBitPR5cMi0ngGLubili20Q16TsusONmgKKG7izdSI9fXCSNtGWIgpYr1N51EWZmz5HErxQQCf9dl8I1s5kDTxu2FaD6y4Xz7cRth6JRR/y01sJ8LhNAyYih2x9rANF66kAmdS9F3Lb5kxu78ixyn0J3eZ537ZtLOymMMxo2GRn60a2G98Rw3taH+Kiew4xivR5/9OQPkR1IycQNZilMRWhaVzUDNugmEMBTcHV6l6NNZ7OzTrdtNQZcnudumz99Mi1lpsuR7ff2bYTJfNIueDtV6lSpUqVKlWqVKlSpUqVKlW8zHa7x08K/dWUz3zmM98M4DN/ZvW/4f4bXwSQEBC13hWpbxSgc8HwTZdbiDRY3xElmXthaX0vSxSMdp5Ib8ytUjFG/ZtuFGPMIfGQILZ0TkfCMHN9AcwdpG06vXBCAKVuJaO6RsTC9UItx946TTSV5RNrkpU3OIKc0gJOyyTvbo6rLdFzWrLU/Su6d1YgG7TsOqBM30dB+BAHs/ZHdQ/MrULqkt0Esx6VhBJF2oRuDAiSImxDlF/KQID38GCOBkSa6U4p6bEI9arbeoPF3Ny9U/3S53VJiXXrxjUEIZDrCoPzqZThREg2Yj8aARxdagZD34BkGQ/0WpDG7MRiPIo17tXX7qTvpwPm4iYfCtSCfSzG6NzaWLIcofQ9sQSIC09HpHeWj8EJko3o3I14n/w9G0IRCvjTiRoNXSI6Yz3KC+r6uaIDBXjhXVhLJKFEvXL366LMamk2NKREoymlDopZ3Uc76P6IXjOUvDeunKXHL/3w6O3iyeOUzKrQtXptEyeu3CXA61+B3TkWn9QPUf+2tpZxJUUYnCHbQnYK9MwheIrM62+5J4t/lyV4qZc41Hvi/qUIoyEJ6hatZCnyTIZQiP5cXL+G52/eBADc+kj6/CC+Do+SL+IfAwBe/QefT5+v3gUAHN+9L8/plNCwLTpydIg0u72SkhUeBRlCE4v6cR4qAensysmN7HbyJ+c6elaZ13XjkElDZ/056YBDFS94lEeeSyRSp29HqKPpV9j/dNhyHuItgtMRuX7Ju1jI76OXB39SpgemiCzcX7lnTFmnHPco9QmyslxwymQ8xJhplKx8pZtkRHSp7/Lbe8K+cu4o9UE55rNzJ2EvVqDSHdyIIV1hmuwSlxLOXlpTLPrK+sOPgYLBqHS88aJtWzKcje6exU+T/oI40a3Ta1zLlUPQjwc5YFWwtZqvTD+MziuF9cznM96knbfq+UePGCVDk1RaB/MF5nOmNM1dklt9P1yLQAedhigO5v4NpDRjTLdFxJpVICLLVFtn67Wu/TaCZBNBtb5v8xnXxUHWT1eFiK1f95o+bEpAKnXQP2wNEoqJo3Eveiy7djGP6aluv1ISVtoaztaA7JP0qOR624dh8Nzg1s6umAihRUtEt6MHSj6YNNzpAmTcSMXYViNGuu4P+VpmVDfz0VBtvvtinqVHWhOsPiUpG9PSxga6sDPnsryc2m+iazgAzxxcw7/1y/5tAHjppZde+km8jTxJbtsdABxe+gC22y0AYDbbYq9Jjm5hlju8nW/lj+1Wj+21MwDAbpsMArOQvm+lbfaagLBnLxV4zM3znhgYdul+UR65izv9e38/lW8bJZGfvJyZW8HuX7okZZdO06SL92Zyj+aSXviozfM2brG/x3Js5RgNILnSDpgB2/T3Hss3nmflHXcBYSaF3ZXKId2/2efdZ1qefW6+Z+l+O2mbGXZo9vas7gDCTMor99vKqwwBmMn72O1x0RKlKHyvAVHuvbeXG3oa6ROzJmC7xzrIdfJb2Mk5UvJL2xlm4778ncp+ScpwLre/cqnDHtI53b640OxJ7AlXYrN08n6zh0sSl7Inz9zTjXu6x9jPEEI6fyj8Ntl9Z6OUcwtId8Bsl561JxppFvlLQNjRPUvaRiaK3Zi+z/cup/u3Dbom9bvg+wWAEalMuxixR2WlTSzvQUtqPZH9ld2E9rcZi4cZaJSbyUHWP6jjakTk3TmHy3tu5D2zbo+3ed7Z+SxQWdDA580mm2cWfScNEHe2eGEbaOu/i83zju/O3aecfWeFDooAduXmWS8u2gZAsCbN7xuAnbYtj3IzKRPj3sydz81z3km1uHs7YBYv/k0LI6WMcCXUnsIbpVMv2Dzv5Nx9xirKTWYA9hvqwEdvnvnbTDtletZuN908a/n2rMz+2h1m2qcftXlO9UyDeCfvfCa8BrtdGv97oj8vzS4B5+mGDzdJ92ywwaNkQDqHuuGyjOnF5bQ4DXst2ktJ9+zv5R2Z+hjY6SvbPs7meVfUT94Zp1+bbf2Vu+wju538eb4nCzyZ+3Ys7mxP23YPnCeQneM3z1arQt5m88ypIXKu2QGzYvPM5qLO3bodLodIKPSLdr89K9lk8zwL/qRMD8y03mWdbFyoptLOyjvb6Cpb43E2z+V42MVMo6T/H7F53iFir9g868j+WWyed1nhONeVOgOArOd25XpH1y2uMHvZJQg8Z2Yvbe/dbJ75sqTddm9DyxvZP2ZFb23snnnf9nPLozfP02t25bRgLWkTmtaJbcF5NuhFaSy0zRYj194s55YDNd88N90+ujY1QrefFNxl4YFpBXjYi43qLrbfjuOEa2g352Er7/dcDo5cR6VyNghoZ1zb877ywd3lJZZ7DyGmc/Yl08klWW9HvkPsdKCPsi4O++nZB3NZ/80eIsan5DqpQznP8o8Qdd6eFRPHnts8q26ZLKD4XU7dm+n6uCmUxExO3sL2ATtRaedbrhGmm+cd36+0H/dD7BuzsI/9fVlTMq465O9Qo4b296yeLN5k87zFNqR5azjP1zJj5P5li+1WjKrn51Iv6Qucf3a2V6Ie3uMGWcowC+md7fYASL04bFGUk2UYImzPAOADTx3xzw7vIE8S8vz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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage.measure import regionprops\n", "from matplotlib.patches import Rectangle\n", "from matplotlib.collections import PatchCollection\n", "\n", "# shape analysis\n", "all_regions = regionprops(lab_img)\n", "\n", "fig, ax1 = plt.subplots(1, 1, figsize=(12, 6), dpi=100)\n", "ax1.imshow(car_img)\n", "print('Found ', len(all_regions), 'regions')\n", "bbox_list = []\n", "for c_reg in all_regions:\n", " ax1.plot(c_reg.centroid[1], c_reg.centroid[0], 'o', markersize=5)\n", " bbox_list += [Rectangle(xy=(c_reg.bbox[1],\n", " c_reg.bbox[0]),\n", " width=c_reg.bbox[3]-c_reg.bbox[1],\n", " height=c_reg.bbox[2]-c_reg.bbox[0]\n", " )]\n", "c_bb_patch = PatchCollection(bbox_list,\n", " facecolor='none',\n", " edgecolor='red',\n", " linewidth=4,\n", " alpha=0.5)\n", "ax1.add_collection(c_bb_patch)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Statistics\n", "We can then generate a table full of these basic parameters for each object. In this case, we add color as an additional description" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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areabboxcentroidcolorlabel
01091(30, 153, 58, 202)(43.64527956003666, 177.82218148487627)dimgrey1
1535(33, 37, 51, 77)(41.44299065420561, 58.7607476635514)silver2
2140(37, 370, 54, 385)(45.871428571428574, 378.6642857142857)darkslategray3
3342(37, 387, 54, 416)(44.86257309941521, 398.66959064327483)darkslategray4
4323(38, 431, 53, 463)(44.526315789473685, 446.9133126934984)darkslategray5
522(46, 469, 52, 474)(48.63636363636363, 471.1818181818182)dimgrey6
644(46, 475, 54, 482)(49.09090909090909, 478.22727272727275)dimgrey7
7134(47, 492, 56, 511)(50.992537313432834, 501.82089552238807)powderblue8
825(48, 484, 54, 489)(50.92, 485.76)grey9
\n", "
" ], "text/plain": [ " area bbox centroid \\\n", "0 1091 (30, 153, 58, 202) (43.64527956003666, 177.82218148487627) \n", "1 535 (33, 37, 51, 77) (41.44299065420561, 58.7607476635514) \n", "2 140 (37, 370, 54, 385) (45.871428571428574, 378.6642857142857) \n", "3 342 (37, 387, 54, 416) (44.86257309941521, 398.66959064327483) \n", "4 323 (38, 431, 53, 463) (44.526315789473685, 446.9133126934984) \n", "5 22 (46, 469, 52, 474) (48.63636363636363, 471.1818181818182) \n", "6 44 (46, 475, 54, 482) (49.09090909090909, 478.22727272727275) \n", "7 134 (47, 492, 56, 511) (50.992537313432834, 501.82089552238807) \n", "8 25 (48, 484, 54, 489) (50.92, 485.76) \n", "\n", " color label \n", "0 dimgrey 1 \n", "1 silver 2 \n", "2 darkslategray 3 \n", "3 darkslategray 4 \n", "4 darkslategray 5 \n", "5 dimgrey 6 \n", "6 dimgrey 7 \n", "7 powderblue 8 \n", "8 grey 9 " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "import webcolors\n", "import pandas as pd\n", "from skimage.morphology import erosion, disk\n", "\n", "\n", "def ed_img(in_img):\n", " # shrink an image to a few pixels\n", " cur_img = in_img.copy()\n", " while cur_img.max() > 0:\n", " last_img = cur_img\n", " cur_img = erosion(cur_img, disk(1))\n", " return last_img\n", "\n", "\n", "# guess color name based on rgb value\n", "color_name_class = KNeighborsClassifier(1)\n", "c_names = sorted(webcolors.css3_names_to_hex.keys())\n", "color_name_class.fit([tuple(webcolors.name_to_rgb(k)) for k in c_names],\n", " c_names)\n", "\n", "\n", "reg_df = pd.DataFrame([dict(label=c_reg.label,\n", " bbox=c_reg.bbox,\n", " area=c_reg.area,\n", " centroid=c_reg.centroid,\n", " color=color_name_class.predict(np.mean(car_img[ed_img(lab_img == c_reg.label)], 0)[:3].reshape((1, -1)))[0])\n", " for c_reg in all_regions])\n", "fig, m_axs = plt.subplots(len(all_regions), 1, figsize=(3, 14))\n", "for c_ax, c_reg in zip(m_axs, all_regions):\n", " c_ax.imshow(car_img[c_reg.bbox[0]:c_reg.bbox[2],\n", " c_reg.bbox[1]:c_reg.bbox[3]\n", " ])\n", " c_ax.axis('off')\n", " c_ax.set_title('Label {}'.format(c_reg.label))\n", "reg_df" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Anisotropy: What is it?\n", "===\n", "By definition (New Oxford American): ```varying in magnitude according to the direction of measurement.```\n", "\n", "- It allows us to define metrics in respect to one another and thereby characterize shape.\n", "- Is it tall and skinny, short and fat, or perfectly round\n", "\n", "***\n", "\n", "Due to its very vague definition, it can be mathematically characterized in many different very much unequal ways (in all cases 0 represents a sphere)\n", "\n", "$$ Aiso1 = \\frac{\\text{Longest Side}}{\\text{Shortest Side}} - 1 $$\n", "\n", "$$ Aiso2 = \\frac{\\text{Longest Side}-\\text{Shortest Side}}{\\text{Longest Side}} $$\n", "\n", "$$ Aiso3 = \\frac{\\text{Longest Side}}{\\text{Average Side Length}} - 1 $$\n", "\n", "$$ Aiso4 = \\frac{\\text{Longest Side}-\\text{Shortest Side}}{\\text{Average Side Length}} $$\n", "\n", "$$ \\cdots \\rightarrow \\text{ ad nauseum} $$" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from collections import defaultdict\n", "from skimage.measure import regionprops\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "xx, yy = np.meshgrid(np.linspace(-5, 5, 100),\n", " np.linspace(-5, 5, 100))\n", "\n", "\n", "def side_len(c_reg): return sorted(\n", " [c_reg.bbox[3]-c_reg.bbox[1], c_reg.bbox[2]-c_reg.bbox[0]])\n", "\n", "\n", "aiso_funcs = [lambda x: side_len(x)[-1]/side_len(x)[0]-1,\n", " lambda x: (side_len(x)[-1]-side_len(x)[0])/side_len(x)[-1],\n", " lambda x: side_len(x)[-1]/np.mean(side_len(x))-1,\n", " lambda x: (side_len(x)[-1]-side_len(x)[0])/np.mean(side_len(x))]\n", "\n", "\n", "def ell_func(a, b): return np.sqrt(np.square(xx/a)+np.square(yy/b)) <= 1" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "format": "tab", "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from matplotlib.animation import FuncAnimation\n", "from IPython.display import HTML\n", "fig, m_axs = plt.subplots(2, 3,\n", " figsize=(12, 10),\n", " dpi=120)\n", "ab_list = [(2, 2), (2, 3), (2, 4), (2, 5), (1.5, 5),\n", " (1, 5), (0.5, 5), (0.1, 5), (0.05, 5)]\n", "func_pts = defaultdict(list)\n", "\n", "\n", "def update_frame(i):\n", " plt.cla()\n", " a, b = ab_list[i]\n", " c_img = ell_func(a, b)\n", " m_axs[0, 0].imshow(c_img, cmap='gist_earth')\n", " reg_info = regionprops(c_img.astype(int))[0]\n", " m_axs[0, 0].set_title('Shape #{}'.format(i+1))\n", " for j, (c_func, c_ax) in enumerate(zip(aiso_funcs, m_axs.flatten()[1:]), 1):\n", " func_pts[j] += [c_func(reg_info)]\n", " c_ax.plot(func_pts[j], 'r-')\n", " c_ax.set_title('Anisotropy #{}'.format(j))\n", " c_ax.set_ylim(-.1, 3)\n", " m_axs.flatten()[-1].axis('off')\n", "\n", "\n", "# write animation frames\n", "anim_code = FuncAnimation(fig,\n", " update_frame,\n", " frames=len(ab_list)-1,\n", " interval=500,\n", " repeat_delay=1000).to_html5_video()\n", "plt.close('all')\n", "HTML(anim_code)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Useful Statistical Tools: Principal Component Analysis\n", "\n", "While many of the topics covered in Linear Algebra and Statistics courses might not seem very applicable to real problems at first glance, at least a few of them come in handy for dealing distributions of pixels _(they will only be briefly covered, for more detailed review look at some of the suggested material)_\n", "\n", "### Principal Component Analysis\n", "Similar to K-Means insofar as we start with a series of points in a vector space and want to condense the information. With PCA instead of searching for distinct groups, we try to find a linear combination of components which best explain the variance in the system.\n", "\n", "***\n", "\n", "As an example we will use a very simple example from spectroscopy" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "cm_dm = np.linspace(1000, 4000, 300)\n", "\n", "\n", "def peak(cent, wid, h): return h/(wid*np.sqrt(2*np.pi)) * \\\n", " np.exp(-np.square((cm_dm-cent)/wid))\n", "\n", "\n", "def peaks(plist): return np.sum(np.stack(\n", " [peak(cent, wid, h) for cent, wid, h in plist], 0), 0)+np.random.uniform(0, 1, size=cm_dm.shape)\n", "\n", "\n", "fat_curve = [(2900, 100, 500), (1680, 200, 400)]\n", "protein_curve = [(2900, 50, 200), (3400, 100, 600), (1680, 200, 300)]\n", "noise_curve = [(3000, 50, 1)]\n", "\n", "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(12, 6))\n", "\n", "ax1.plot(cm_dm, peaks(fat_curve))\n", "ax1.set_title('Fat IR Spectra')\n", "\n", "ax2.plot(cm_dm, peaks(protein_curve))\n", "ax2.set_title('Protein IR Spectra')\n", "\n", "ax0.plot(cm_dm, peaks(noise_curve))\n", "ax0.set_title('Noise IR Spectra')\n", "\n", "ax0.set_ylim(ax2.get_ylim())\n", "ax2.set_ylim(ax2.get_ylim())\n", "\n", "pd.DataFrame({'cm^(-1)': cm_dm, 'intensity': peaks(protein_curve)}).head(10)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Test Dataset of a number of curves\n", "We want to sort cells or samples into groups of being more fat like or more protein like. \n", "\n", "## How can we analyze this data without specifically looking for peaks or building models?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "test_data = np.stack([peaks(c_curve) for _ in range(20)\n", " for c_curve in [protein_curve, fat_curve, noise_curve]], 0)\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", "\n", "ax1.plot(test_data[:4].T, '.-')\n", "ax1.legend(['Curve 1', 'Curve 2', 'Curve 3', 'Curve 4'])\n", "ax2.scatter(test_data[:, 0], test_data[:, 1], c=range(test_data.shape[0]),\n", " s=20, cmap='nipy_spectral')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "PCA(copy=True, iterated_power='auto', n_components=5, random_state=None,\n", " svd_solver='auto', tol=0.0, whiten=False)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA\n", "pca_tool = PCA(5)\n", "pca_tool.fit(test_data)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Useful Statistical Tools: Principal Component Analysis\n", "\n", "The first principal component provides \n", "\n", "The second principal component is then related to the unique information seperating chicken from corn prices but neither indices directly themselves (maybe the cost of antibiotics)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Component 2')" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", "score_matrix = pca_tool.transform(test_data)\n", "ax1.plot(cm_dm, pca_tool.components_[0, :], label='Component #1')\n", "ax1.plot(cm_dm, pca_tool.components_[\n", " 1, :], label='Component #2', alpha=pca_tool.explained_variance_ratio_[0])\n", "ax1.plot(cm_dm, pca_tool.components_[\n", " 2, :], label='Component #3', alpha=pca_tool.explained_variance_ratio_[1])\n", "ax1.legend()\n", "ax2.scatter(score_matrix[:, 0],\n", " score_matrix[:, 1])\n", "ax2.set_xlabel('Component 1')\n", "ax2.set_ylabel('Component 2')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Explained Variance (%)')" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1, 1, figsize=(8, 4), dpi=120)\n", "ax1.bar(x=range(pca_tool.explained_variance_ratio_.shape[0]),\n", " height=100*pca_tool.explained_variance_ratio_)\n", "ax1.set_xlabel('Components')\n", "ax1.set_ylabel('Explained Variance (%)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Principal Component Analysis\n", "## scikit-learn [Face Analyis](http://scikit-learn.org/stable/auto_examples/decomposition/plot_faces_decomposition.html)\n", "\n", "Here we show a more imaging related example from the scikit-learn documentation where we do basic face analysis with scikit-learn.\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "downloading Olivetti faces from https://ndownloader.figshare.com/files/5976027 to .\n", "Dataset consists of 400 faces\n" ] } ], "source": [ "from sklearn.datasets import fetch_olivetti_faces\n", "from sklearn import decomposition\n", "# Load faces data\n", "try:\n", " dataset = fetch_olivetti_faces(\n", " shuffle=True, random_state=2018, data_home='.')\n", " faces = dataset.data\n", "except Exception as e:\n", " print('Face data not available', e)\n", " faces = np.random.uniform(0, 1, (400, 4096))\n", "\n", "n_samples, n_features = faces.shape\n", "n_row, n_col = 2, 3\n", "n_components = n_row * n_col\n", "image_shape = (64, 64)\n", "\n", "# global centering\n", "faces_centered = faces - faces.mean(axis=0)\n", "\n", "# local centering\n", "faces_centered -= faces_centered.mean(axis=1).reshape(n_samples, -1)\n", "\n", "print(\"Dataset consists of %d faces\" % n_samples)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "format": "tab", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Extracting the top 6 Eigenfaces - PCA using randomized SVD...\n" ] }, { "data": { "image/png": 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GRvz7vPPOkyQ973nPk7QVWCo897nP3WxiX5ubV5rONfuS3fScr7l+V5gTTIzs5Rj/PhvhhuPxemUPz+o+4j7P+sDrUNCc6yvXIBsfH6geB68Tx8WX45xg57Yt9LBP8RpzAnCFOeElIhMcqnWv7p+5drO2qpeJwTXMBHHu2bk5quaNzxL3OQqVS/dr1rafIX528IWYCYnc+9kzJKJtao1Go9HYGywytXPPPXdD/8zUIijRkRVkkgvZVSU5zUnDFdPg7/F8XqeS+qVapVepabJrL6mFIipJj+q2uTYyKSe2makOCB+TqarcrtUAUb1U9bFi49kYqFox4t/V2CpWnPW/kqazvVTtK0rUsY/sQ6V+ztgX7yf2OdtvlHIJfj+3/6o+ZsfyNzOrbO/QHDHHGt0GTReZZoNal6pv0vZecj+JSrUYUTH37LrVPb0rU8zaJxvK5rE6NtN8LLU3p83iXFSfEVwvPlepDs/Gs4Rmao1Go9HYGywytWPHjm0YWiZZLr2lMwmmYk6VfWcXh5GKsUXQqWXOdlPZGAyynkwvTtvWnK6Zumsa6t2Gj4sMjsdwPJnEyb6RNVNyinjWs54lSXrkkflanY8++uimL9alR1tKxcg4jmjHrKTpOQndqJjh05Gkq72btVd9n/W5YglVX+NvS8dWhnxpauOac0jgPuYnnVukKYtbmuMTJ07M2myXnC+yeeJ9yfvf32fMl88BtnE27Gtuv+3iiCZtGW88t9JEVOPO+sRjfB3bsbLr8Zm/tDYRFeONe/psmW0ztUaj0WjsDfql1mg0Go29wU6OIlY/WhWVGe6X3PMjltzJaTyMWHLdzuh7pdLj95nB3qBqwvA58VxSdlL3uVg6ooqHyVxrKzf3TOVDdWalMsiM81YHLqkZHn300c3Ys2OpbqSqK5vzyumBjhVZrFE2puy6maNI5WL/dNRPRuYYU6lw5lQ8XMuzcQwivK+sLv7MZz5z4PvYXzoVVWpIaat+fPLJJyXlTmcRJ0+enIw12790/phzLuN8cw2pas8cx+bc8WPb8ZzqmMyhgn3inFYhPvEYztdcvBzPMSpVZpwjhnRUatUs1nXX68Xvdg4Hmf210Wg0Go3PIezkKGKpbc6NfCmbwS6G5ipAM8uEUUWtM0uFtGVOlCgoAcxFy1dGUbYRx0NjLgPV4zmcE/9mycjsyL9XbskRnJMoBVlSXgpiztZtV0PwsWPHNpK5s094L0VU7uu7OEVUDkqZYZvnVs5AmdtyFVj8dJIMcJxR+l1ygMmYNdelCmSdC9zOtDDx+pnmoxon3felWjtS4bHHHpvMQexbdT4ZXPZbtQ/m9ncVSsJ+xMBgPt92dUnPrls5OWVOJtU4l7QyEZzHzGmr0k6wHxnLrxzRsveJ2yMbr9BMrdFoNBp7g52YGt+umZS4pL+NUkMlDVqqd663OUmdtqyHH35YUs7U6GJslsI3f+xjJulL2qQMI6JU6utZCjFLcVuZTpjSrfPcuU9OTZVJkz6H7vPPec5zJG3nxvYRaRtA7U8iuw7tY0sS37FjxzZ982ecY6Yco9v3nNTGtFv83nMfJcFKcp0LOCXrpp1kzk26ktDnJE33l8yT9sU4Lu5VSsjcd5nN0L95nL4XvUYZy4u5GLP24zlub+4eYFuVLToD1517K7bDv8mO50IfiOpZFv/PgPM5e2xl762YWoaq//4+sskqWUYV9J+lqOJc832R7Z0qPypT/sVjsxy2GZqpNRqNRmNvsJP341yanSVdr6WUGKhLJua/nXbJEuCcLtrsx+f6Opn9yKgyQlsSiB5ZPsaBxi94wQsOnDMXIG6p1OPw35Rg/T3/L009ysy+smTIlV7aGfLN8u6///7NMZ/+9KclSZdccokk6cILLzzQVuahWWXwrhA92DyPGcP03vjUpz51oH33O2PHXivae91/Xy9jhrRlzaU8836izSnzejWWAveNOduN+0obYcZEMo/Y+P3celUswud4X2aewWSN9IaL16OdPLOtRjz55JOb63jsWdJwMvbK4zgbP59Vcwyt8tSmPT6z+/m6lW1/DpXHZmU3i99V4417p3omVmua3SNk3bQzx2cbv6uSTsS5cR98TqwSk6GZWqPRaDT2BotMTZq+taPnHaU2SiVmBHfeeefmHLMrv+HNaFymhPaleD169FECNIOL57hvlg4Zd+djo/RodkDbTOUFlUnBZiAeL8eVeYdlqcikrV2MdaNi3yhp+roei9lLbP/48eOStmvw4he/+MB4MhuB5ym2lyFj9HFct99+uyTplltukbTdK2RoGSvxMWaj7JNthZF9e5393S5egrRL0YacxSJVHqWV12M8l3YPH8O/415ln7w3LNnaluo1jmvqY32M+7LLOdRm+G/3LUro9N5dYimHDx/eqWSOwb7sUm7JoMcx/4598B6i9/HcPUEWxH0xFx9rcI0zWydZK/0L/H3mb0CmRLt8xrqoIaCNcBcvUj4XstRoZIK05U6uMftro9FoNBqfQzgrppaBtgy/RT/5yU9Kku666y5JW3uJNLUfUU9LiTZLjOo2fN25MhWskmtY2snscGQLllgs5dObK86RpRxK8ZlnplF5rFHCpcQuTaUf2o78yfHH6zz44IMHjr300ksPjCHCc7JUrC+2d++990rasjJJuu222yRtWaj7QnaQZWmwROy+0F7AdZOmRU5tJ/Wx/sw8PpfsR3MxnJRg57I0VHF3/vQaPvTQQ5PreQ2tIaDNkuwrwt9R88Eir9n4XvGKV0jasmPPVbRDn3/++ZKk++67T9JynNrJkydLrUiE18frzs8I338eq+fD9zK1P1lSXZ+bJRSWDo7Z68r9ZWTPqspTtsqUE+9B7i/uAz674rFsn/eX/47PYnrkVtlO4jwyPs395z0f55VZSPj+IJqpNRqNRmNv0C+1RqPRaOwNFtWPp0+fLpP7Rpg+2iHEakeqtaStSoiumQwAtXogqs3sCMKAatNYBiJHUO1HhxGrpSTpoosukiRddtllB36jKpZqSGmr5qIbrseRGXmpiqgqiWdVyN1e5czi9fLcSVunDKso3Ecf4/WM1/ExdKKp8OSTT+oTn/iEJOmGG244cF1pO08vfOELJ/3z+VIeVsAAT4aBeJ7iXFCFyJAH/h3H731QtTUXTFyp1zP1E12cPQdW0fr+ioH0njerJDmPVJlF9aPnkepHJiuO+5sqf4fivP71r5e0ncfoNOHQETsHLdXiO3Xq1GyIAOffe8n3Ah3HpO395+/cB6odmZA8jp9qOu+z7Hp0RPJe4rMqC33gdatA8Ph9Vc9uLtG054SOL95/flb7nshSFlZrkIUQVIH0dG7J1N2+F5bCQZqpNRqNRmNvsMjUDh06lDonGH6j2hHEhmBLLJZkIiuzMZVSDtM5UcKRthKl22daH/+eOWNQQqYB19KktJXMbeA2fD1LH5ZkoisqjbgeJ92Bo1THUAQGbjKtVZzPyqXffaSrtbRl0HSr97lZwmRKnlXKMOOuu+7atOs1ftOb3rT53eEDnkOyRH/GvtD113/TGSILqOaces/Q4SUyGY7ZfTYyyTOrFi0tJwKOcJ/Mgsx4/Xd0FPH8UMNBzF2HsGSe7R3PiUNGbr31VknSNddcI2m7xq9+9as355i9+V72OCqcOHFi4qKeJacmK/CaWiMQnQrcjvetx0iHpGye6Ezi6zI8JJ7rdeC6UEOVMVA67FTlhbKkD0xAMBe4T9ZNxyi34c/sekwHRoe0+JxgySE6hmSMlIkPuvRMo9FoNJ4xWGRq55133sTNPNOrWsr23xdccIGkqfu0tH1bU4KhDcXHRd28pXq65dJ9OQvYNpjiyO3bjhb7b8mlKvnCuYnnsJimpUcmX47tM7iYoQSZPbMqncJAyjiPtA147j1/WVoc6sGXCj0eP358c8zLX/5ySdKrXvWqze9OzeUxeS3JViNzIntzv22X85qaiUYGzcBmS8xVqq14vtvzdcgiIqrgXhbXzJLVet79m0Mh6FofpV/akZh42tfLgvAZEuG+MOg2C2L23L/kJS+RJH3oQx868Ok1j9ek1qJCDL7O7Ctk0N47TOwwl1DBY2RbmW2aYRBVguZsv/FcH0OWFNvjHqpK3cQ+8jcGolO7JG33M+eEdism8I7X9nPNa8q0d5G50SegKuWVJSQwsgDtiGZqjUaj0dgbLDK1o0ePloUZpe1b02/2F73oRQf+5qe0fQubsbh9n0vJM77pLYlR2rWEYd19lASZpsrt0fso0+fSNkNpKNOl0xuRXpw+NkrbtBFU7DhLJ0Npmzpuj3/OJnH55ZdL2tpEs5RRTP+0lCbruc997oaNmanH9sx+DEt8/t77I/NgY1JY99f7IGN53hsMzHbfaM+QtvvIvzHVFtl4RJUOaS5FlNv3mnnv+P7xGCK4V8gMmPYp9rUq1ULbSsbU3CfazX/mZ35G0sHUeA7QJgOssBTYz/Vl4mWvDxORS1NvPc+1z6F3pLSdu4svvljSluFQoxH3KlNAVc+O7HlaFafl+LPAbSaCZtKBzHuQGhvbPP23vdkj+7YPAjVBZMTxPvdc0xPcbWQJN7hvl9KmNVNrNBqNxt7gaZWeyews1E/TfhDbsBRgKd7Sj6UT62KdbNcpt6StJOs3vaUpt5GlybHHIAs+uh9ZHxkTwbIRlB7m0iT5N/fD0uOcPtzzR4/ALG6IdkuPnbFalpLimN2Oj2W8WpSKqnIfFaKUTA+9OGZf65577pG0ZWhZOifaBSzZmeV5jGaeEYzBYlFaSp7Sdp+5T/Y6pI0o7jdK77wnmFg2zrH7wjRYZJlRkmVMGz1DmYw37h1qL2hrNXuxjTnOD+9xH2NW5jnL2lss9BhsahncX953jIHNtAmeOz9nfvVXf1XSdr/RxiptWQfvYX/aHh+9pekFSC0DvZMzMBaMY4j3E9Nhea/Q8zTuHbNpl6Xic8d/+/c77rhjc66fuZ4ve4z7ue45iRopP3PN3uitnGk8uM+WUqw1U2s0Go3G3mCnhMZVgTxpWtaF9hx6tklbacpJcy052NPLUoElqazAKGPM6G0ZEyhT6rU+3H32mz9K25UenNkH6KkZx2ypw9exFGcpMsbqWKr1OZZyzEBoH8syF/gc2gw93rhujGlxG54/9yNKm5T8l6Tt5zznOZvzfb0oJfo3xl55vd1fS4TSloG97GUvk7Sdy/e9732Stnvn6quvlnSQndorz/vspS996YE23I+YUcT7yvPhcy1d+/coSdP2SIbIeMl4b7gP9N6by0JikKF7PplwNktszTJJnmd/H+9Bx+qRPfj6Xpu41kzIvVRgNtMGxe9okzFjosYowkzsxhtvPNCGGQY9nWMbPtbPGz8H7r77bknb/R0zz3jt3DfG49LTOX63BN/b8TnAZMT0nHaf43OHmUPchp9VtCFnGUzooet5ZGxtPJ+ekh4H92r8/y4liKRmao1Go9HYIywytccee2zikZLl4qMEZqkoszlZwrPE4KwWftNb0mBpe2krGTPehV5wUfrxb5ZCLeVYGnF/YqQ/vY7I2BgrEX/3WBmPwqj8KI1YmqOHpO087nvG8ujhZWZmCcpSZJSYquKTzIcZx0UvviUPtmc/+9kTm02WDSDzcpW2TOqNb3zj5rurrrpKknTllVdK2rKRj3zkI5K28+W5fe1rX7s599prr5W03U9mtt5Dtj3EMVuCZN4+lnnxnMf2acOqYnGid5iv577QC87nZrYi99F738zUc/GGN7xB0taGJG29Xc0evL+8d2wfiXvHfTRroUdu5uHofnN/VTh06NDEBp6xU/7GYyILdlYW3w+2/b3lLW+RJN18882SpuxP2s6Z18VzwMxGMbcpvZI9dmuRfG6MG+Mzls9e/+1xxfuJtjPOAZ8t0nZdr7jiigPjoPers8X4npS2NnDfR9ddd52k7b5761vfKungPDI3K+NjM29iPm+WbPnN1BqNRqOxN+iXWqPRaDT2Bovqx8985jMbisgqzNI0jQ4Dc61miJTX9NtU3SoklgQxjY6qHVJPq0/cFlMFxX5TTceyClFdwlImcwb6+Ls0TVhMd1WWcInHeq4dzsDEylYHRJUF23dbHpepfXSY8Zx6nTzX/mQAZxyX53MpXc1FF120OdZjjmqRTeu0AAAgAElEQVRT/2bnDqtY7Rjyyle+UtJB93yrw6jaYWDzOI6Stsl24zkeox2VrJ75+Mc/Lkl6zWteszmHSbdt/Lcqx32O6kA6KVSqsayKNQNlqTqnO7i0nR86ClHNz8rP0jQRgtvyHvLaRNW89yKdf+iokBn2swTJFajGjU4/dMKii7vnNAaA+5hhGCRtVW5sy8+SuF52jnH7HqPVdwy5kbZz6/uPQfJ06JKmzlgMJfJ1fG6cR5ZvYZhGpvr3M9HPXLfv/eBxOr1dTBDNZ7vn9b3vfa+k7X0czQdM3cYA+Kwcj8fl/i+prpupNRqNRmNvsMjUHnjggY3UljE1OlAwBY3fstH1lGl73C6lUqbukaaSCtMJ0RAp1QlLLWVZKs5cnRm4ylIJvEYcl6UOhjdkQbd0JvA4bYxl4cWMMdIZw4zEaxGlLBqezWK8Xj43czH2uUtJaS+66KJJsKpdoKWpW7LX0n3KpG0GTru/X/iFXyhJ+uAHP3hgzHF/eowxcXU81q7oca+aubgvPpb9mHOAYeqjKl2btGVBdojiPrcjTAxsplbEc242bgeId7/73Qf6Lm01Ap4Tf5qh+XenSZKmQf1VGZa4v+nIld3bEWfOnJm4f8f9RgcaXtPsNDpueG6Z9Nrten842YOdZaTtM4LXY4HbqBlgisB4/0nT50Jsvyrsyf0WnULo1OZ9YW2W5zymWsuez7HPnj/3MWoVvKb+zfvO82jHkahV8nOAWh7v3Wyt+dyeSzMnNVNrNBqNxh5hkakdP358Y9uwhJbZUijR03056kGZ+JL6YksDZDrSVFKhnjVzGaZUaGmBJcqjVF8V56PON2NdBn/zXFgKitK2wT5VBVQjKOUwIbQRpToGmlJS8/dxHsl4KXkSz3rWsybBlNEu4muaHbi/LJjqQqPSljlY6vaYvDfn0qUZPsd98VgtwUbbK+2gZLKen2in8jGUKBmEzcTA8Vz/5v3AMk1RknVIjCVy318+17ZDs5e4z80IXT7G12GAcGQTZBi+jiX17J5wfxnsX+HIkSObc6qwmuw799sMIyvAaYbmNSPTzfpGrQQZodfQNt94jOfY1zMDZCFWaZqYecnFP0tO7et5LtxmlhDY/fc9l5VfkqbJx6Xpc8bXs8bjtttuO/AZ+8JSXr4eSy/FY41mao1Go9F4xmCRqT388MOTBKnxTcnS9dUbOMKSEVMMMU2SJZvM9mQphx5tDBqMfbNkYYmSaYyyQGN+0hY1V66EQbYeB8vJS1tJiYHg9KTMSprT45M2jizNEFlRVSo9zqPXjXNQ4dSpU5P5i7ZOS21u1yzL68+invE725qYcJjHZV5UTNpLCT2Oi3OXFc30WHkdSp20qWVSsfc8tRTcO3FdPI9kAgySZmKEOFa3T88/36O25Unb+8d98Pox0XHm1UcNzhzI+CLrdttM4kybdzynKhfE/vLZEsdKT0zPJe2Z0nb9/Vxj4mna6eL/+UyqvLAzRsMAagdM+16JdkavHdPm0SfCWoyshBiTrrtN75n4TLGtll7R9AyN9xdZ6ZLnbDO1RqPRaOwNFpnaiRMnJtJBxmgo4c9JtrRTUbdsbxnbTTK9OMtDVLFA8RgW4GRfM2+tyuuIUn7UuVf6cF4n9sNSJJmvmQ3j8+J8LyUapqdYPN/95viy8huMXVuyi5w+fXrW5uhrMBUV2X5W2p2SHT+pOZCmXoiVVBrHnOn4I7L9Xx1L20B2b1Ca95xY2vdcRcZL+54lZZa4IQuM13YbLPrL4quxXRZk5ZxnSWmNpVijM2fOTFLtxfnz+Z4P2iszaZ7xtrRt0rM47gPvRds0WTrFiInUDdrs3I+MbWXP2Pg3PWqjXdv/NxNj0VPvoXiO59hr6U+uf2YnZtot941lu6It3+f4uvSY9drEPvL5uWTLb6bWaDQajb3BTkyNtoDM5kCJnEwtS37Ltz8lKCMrpkmJht6KmSTIOAeWycnsVFWhRerjo2RFSZ2siG3E8/0d+0YWEdeAYyZTzGyG7GPF8jL7aWavyHDy5MnJemVxb7Zd0Kv2bEpOcC/NFRSkJyNLys9lh6EUz/0Xz+F+4z1AVh7/7zbsiel4OceLxcwsHAfHw8wScU2ZuYSllDyGaF+qEsouFW+UponOK5w6dWpzbWpFpCkzo7du9rzx/mK5E9rc+eyK/c7s/FJegJPaK7M69nmuzA49QKm9yOJ/6WHIZ1jsu/vkObEGwN/Hdee5tCtSE5DZQtlO5W+QaUuWEqgbzdQajUajsTfol1qj0Wg09gaL6sdzzjlnQvvm1I9Ux8y57lL9UrnRZ+fwGPYxq/lGtUKVPDQemxmpI2j0zc6hq63PydLjMFh5l2rTDIbl9YyoDqnWtFIBSlN12pL6MfYlc4rg+TTcM0FrvDbHUVUbz1z66YLOsIw4Bwx54F7NnIyqIF72fU79RFW11TIvetGLJB0MhmW9LCY0pgorc7zi+niu+BnPodMU1d5xTvx/VqGvcPr06dKxK46JDjVzzwV/ZzUZ18fqNO6pCAbfU/Ub7zGqkr0uVvHNOYrweVqpP+P1/Jvbp4o0Cwepgp4dIkPVdaaa9zGVaSiuAYP5GbaTOfhwXbqeWqPRaDSeMVhkai94wQsmCYfngpQpYWQMp3qTV+VdMgcHpi+ac+WuAvvowBElG0qshqUhtpWxV4KJoaMEw2BbBrJyfrOgy4w1xHMz13Ea7Hmd7JxMAsuQJfmNoBuv4b8zJ5yqf9wHmdNRtUc4rugyzLmkow4dFiIqVkk2lp3jfUDXZ++LmMrLe9SMrUoll/WVc8J9T4k69rHam3QUiN9lqeEq+L6lK3zsNx0LPKdZsmAGXdMRhYisoXJMISPMngNmMtS2ZAniKyezKgFGPJ5MncHmRqYBY5Jqao4yhyjPjwPO6eKfPWO4n1kRPUukzjJgS05GzdQajUajsTdYZGoXXHDBxFU8k9Ar21lmH1tianPB3hXYx/g2p4RE21ZWPoQsg30062IwcOw3pRGf489MN+y+VZLgHCrX9+xcMkzaVrI2PcZdmZq0lZx36QMlu0zSowRJqS1LwMtz+Tel08wWVNk4Pa5oh2NJJUrxXKc5Jsrg/8zOZLZC+wiT42bshUwtSxUWj5O2a0o7DMMeMhbhc2NAboZDhw5t7o8s0JiB87vsZwbZG2RuWegSGSvt8kZcSzMMj5kMLQto5rxXyQaye70qDsoQj+xZxbETZM1ZX/i887pFjYSDu6tnR2bPdL89n53QuNFoNBrPGCwytec973mLNi+pfvNmTG0p5dBcqYFKn0pmlfWRQch+81sCjEVC6aHo9phAl2mGpGlxQEquWfonpjRigtashA+xxOoyTzCDzCdjOmQnSzazQ4cOnRXbrpCdS4m58n7N9kFll8uO5X6rPCWj9J/ZH2If5zQRvB69ILNUXlVS2Mr+k2kxKhtKdq/Sjsk5yGzUDhb3fbKY6ujw4QkTyNip4bk2E8juscozsrJxxnugKn/DRMcZYzfILrMUa2TOtBH73DnvcjJoP+fI6KUpY6b3M/dB5jnLOakShktTdsq9mj3Dltgx0Uyt0Wg0GnuDRab2whe+cGJLyd6UlcQ8Z0uppB9KjXM61CpJbMZKGL9FW4DLIkjbxKT0IGJ5HCaRlbaph2iro00jSmiUxCgFU88fpZ/KZlIVbo3t0EtwzrbCPi3ptp944omJnSdrjzatuX5Xdt1qH0RUdqK5cVSxf1yHLNasshESsa+0K/OTRXFjH5diN+dS1i3ZRzMvWMbBkelkxX19nSzxb3U9Mhtpar8h6/LvsU9kP8RcfCzXuYrPze6xyiN3TntRsR23QU9XaZrmjba87LnNYsFun8m/s6ToledxFfsYr5cVOY19nGNjzdQajUaj8YzBIlM799xzJ2/6OakueztLB1lJ5T1XxU5lkix1vLvEnjBxsdtwxPo4jptjb7nllgPtXXHFFQf+NmNj1oA4DktRZoDWabtoX5wTSzC0me0i7VfnGJlkyIKZVcLkrFgf9e4VHn/88Y2NI2MPS9lasr1UsY85KZuobACZjavKOkM71lyZlcoOnMWAkdFW8Ytzdm16spEBz7EJHpvd81USYd5f0UZN7QtLthBnzpyZ3MsZy1/y3pyLaVryFcjsytWenZvbufaW+sZnL9vMCrHyNzK4LJORUc35XKxrZQfM7l+uUxXPPOcRuoRmao1Go9HYG/RLrdFoNBp7g0X1Y3StNTJ1IFU3VaCp24zHst1dDPik51VwZGyHn6bnViXed999m3NuvfXWA8c6jcxFF1104NwsObHHd8cdd0iSjh8/Lkm69NJLJa0C2qWVEw5BNSTVrdmcMCnoLkHYNPaz3Tn1TaZyzfDEE09MXK+zayylr8qCr4kltWRsp1JdW22WqcY45qrKtDR1uuEcWh0Uq1cbTlTM1Fdztb4qB5BKjb9LiIznKAsQrkBVaZxHqt5cnXkXZKplzgMdkrI5qVT4mbNPBV6PfYz3HvtShYfE62bJHGK7c6pkBsXz3qPqPF6H7fF5noXvVG74c44wVGczPChLSMFQkSXzRzO1RqPRaOwNFpmaVAdmRvDNPhdgupQGq5JwpdowzN/nDNt0z85KZfg7S9VmVXbXp0ttFtDKkgxMLBqZjvvCNDJkF3Ou9lWqqznpnsfMGdbd/q7pak6cODFx5c72AfvEduO6LLlDVxJnPJdw+6wCLG3Xm9IiJfa4tuxDNaeWpGMfWWbDfWHy2Dj+OcM8+yblTltVW7ukuWMZFO+PeB0z2ptvvvnAuCocPXp0smeylG1MCVZVQI8gY6ucMrJnSOVY4+tHFsHr+HnguWAS4Tgef+d2zWzJmGLwNBPPU9Mxl9LP46CL/5wT2lLCgyxRAENSqqQZ2f3NtGkVmqk1Go1GY2+wyNTOnDmzU0B1ZZPJzqnsb5WLf5Q0lxhGlprFIOtx+5aYn//852+OffGLXyxpawezS7+lBPcpSzBrSezyyy+XtC0T4gKPWfJQpsxh0TxKcFnwdTUXc+mfeN25cyoJvcJTTz21YT+Z6zslSe6HOZZgkFFUe2iuXa+pWVLso/eEJWJejyUzIighk21nDM5M3XvS4SC0X2asu3KpJlOfY2pEtg8quzk1FBluu+02ScuFHrOky7GvtB/ZLu71iskQ2O+5IHSptjOzXxFZUgSvpQPNmbDBv8dzzHK9F52Oz22QbcVzuVc5HhbFlZbtsbuERlRanuzcSotBLdOc/bRLzzQajUbjGYOdvB/51p4L+KuCNjNdbOXJw7d3FnzLtzfLzmclEtwOy7lbwnFQtLT1cvR3F154oaSth6SvY4nato7Ynr0c6U3HOZKmBUs5LhYNjajKRtAumHm9Uce9FJAaj10KoH3qqacm9pws5VWV5mnO642ogjezOaa9gCzPdjRpK027j+eff76kra2Dyaulej/TppuxV7N6t8e0SMaczbhiwNne4X3EOc+83rhX+cmyTNLWlsbExhXOnDkzWcPIVum1F++/2P/M+7GyGy6x/vhblfg5jsv99fPGYzeyUjieO6+3/6Znqcfv/ShNNU5me+6H52iOJXOP7pJqL/tNyvcbtRZL+y9DM7VGo9FoPGOwyNROnDgx+/asbBhV3Ig0tflUet3s+yp5JgvvzRVCtCTu7y0xvfrVr96c43bMtmgvuOSSSyRtpbAYc2SJyH1w+z438+CrmEbllZRJK5UExrmK7bNw6pznKdtbilM7c+bMZsxZvFq1rxhHtkv8UJVuJ0qLVQoo2km8ptLWDmIbjZmbJXIyKmlqz62k0Kxop2Em6OvOxXBW81gl3c1sHLQzz8Wb0tuR7XtcN9544+ace+6558BYl1JGnT59erKWcX/Ty7FKOJzFj2albCLmWB7nhWV2Mk9W7yHPAcvuxHuDtkJfl214/8UxRNYWx874rqhVIKrnULZeFVOjJiKyfdrO/Bt9CebsmUvPg2ZqjUaj0dgbLDK1J598cjZKf8kbaC6xMBlUFXGfJeCkvY3eQJkdzt+ZVTHRp70Ts3YsdVmqss2NxRulOtbM0lUWZ8FyERVTytgYJUtK83Osq4r3y0ApNTKaDCdPnpywrijxL9k4MvZFPX2VuSZjk7Q9styP98Xdd9+9OceJrb129or1Z8bUluaUDCf23TYU21889osvvvjA9TLP2WoO5sqjsA1mkCD7iu1lNnZJ+uQnPylJuu666zbf0Uu08jw0Tp8+PbHLZ/PJ2EnacHfJShSvKeX3C+eH9nmvW/T8vPfeeyVJn/jEJyRJ119/vaStloc2/fidP/3ccaYZZykiw5Gm2gOWuLKdLnqGUgNEVHbh2H71vMm8FblOVQxxxpKXGPbm+NlfG41Go9H4HMIiU3vssccmsVkRlX2Cb9UoMVMyZxkUvvEz1lXZ4ZZip2KfyMYySZB2I3ptZZKFj6H0wwJ8c55llvwodWU53whKtpmNgKyFnoCZ9yN/m4tH8vU8jjkv2KpsSBZXxXNp35nTtzMLCPeb92G0TbAs0V133SVJetnLXiZpy9gcxyhtGV8WKyVt19YxSJbkpW08kufW17Ed2H2NdhnadYgq12Vsr7K/Zdl26IlH1mCWmRWw3NWmFts3skwYvA8qT9o4Jv5dZRTJMtlQA+A19L6IfWaMpveDz2VJKmnKaH2s95e9sM2G415lsWNrjJh1JfaxKm2zS5aVyst2rpST+8J8tWwz89Q2llh+M7VGo9Fo7A36pdZoNBqNvcFOLv027s2pvmi8o/oqUx1U7TEQOFNVUN3JIOLM3dy/mfLSWBmvUyU7pqE+c4CwmoHHzKnIqMKh8Z8G9tjXLHFoPCZbg8pIThVCnEeq+pYSi548eXLiTJCVkZmr5hyvF4+hqo1qs2zMVANVjklRbWjnIfffrtVWO3l+YoJeh4FYrUQVi9VEt99+uyTpzjvv3Pzma/u6dhBxG1YhZetSqV55b8S9Q1UbXdXZRvyNiYvdtyzd2FJ1duLMmTOTvZi5htN9fK40S6V+pOp9F5d+qu2tDozu8t4HVhl6DX0vW3WYJSVmCIn3kveOk0LE8lWsOO7UYVT9ziUkmJsDojJzVL/HsfLe4xrPmSk6+LrRaDQazxgsMrVjx45tJLMseS/f6JXbcOaksFRkLjuXbbAflhbnylRUgeFzAaaU8ijdZWEHBsfpeYyG9Gq+3A+m9srmk5JSlVA3O6f6zKR/f7eU6ujIkSObfjLdjzRlMFk/2YeqaCEldLcVg+L9fxbcnHN1Z3FYskpfzw4e8f9VGRyvu9mdXbylrWOIr2sHEe7DjIFUSY/n1rLSDNCVP66b+897jWw2e0547jPnn4gjR47sxJy43gyJyUr0VEm7OceZhoiMxkzJrMxu/NKWbXvMV1111YHrm31ljnBmanTT9+9MqB6P4f5mKrc4bq4/WZDXOAuV4nOt0khlYTxuj2w/cw5jQo1mao1Go9F4xmCRqZ1//vkTiTaTnKnjrkoZxP/TlZqYK4hJiZLMKnNFp72NKVmyZLvVdSgtzEmE/D6zC1X2EEqLWcCrdeiWxCoX28yVu0q2m7n0c02dfLdCVvwwC6SugseNyGirkAPaS81wbJOIv1X9nJMAOV9kBLGPZipk8f609G1bS0ykbRsaNRG07c5JzHSbpn04S5fGcz0+760oObs9MmrPAfdjbN/rloUHRRw7dmxzHdr0M/g3poCak/iZkorrtUvyXn9eeeWVkrZrKk2fjVFrIE3tZ3EcDB3gemSMxnudxUfpoxDXrbKZ8RxfJ64b07zxnsy0KpWGiPs63qvU4HXwdaPRaDSeMVhkahdeeOEmiDCTtpc8ruZSNS0Vfask99hu5b2VMafKWy9rn9cmE6jsP1ItLVraYhLmrN9VUHRWJJTpqswEKjtZ1l5VtiaDr20709xx1MVne4dB+Ea2Llni2HiuUw5l5XjogUmmzuTR8f8M2Pece03juGwrYXFGw3YYM93IeJmIoLq/4vpX9kXbMekpnKX04v3quTIzyPYO2zBDNWOLJXx47BKOHj06uW/nnjvcQ3PPDLfnftJWkzH36jlTlTPKfmPZmCzFHjUzfvbyecNnSewv7WBmbizPNQc+H5hSMPalssPz2RnBPes9maXCWrKFEs3UGo1Go7E3WGRq2Rsz08lWcUOZB1GVRmWujLpBCY1MI7P7VZLlXPLTLD2QNI352CUBJ1PCZONjkueqxE7mAVRJb4zdyWyG9Dqa8zjjOi2lOjpy5MjE2y1Lgkx2Ouch5zlkaQ6mFco0BJ7jaGeLY8wYo8fq9n2uGYw/4zlkfGRstqG4RFHch5V2gvYes7A4Rnohck9l81kxQs+jpf7MJs4947IomdcbYzeX7CJHjx6dHBv7X2ky5p4d3nv01Oa9ldnyK5sq93Xc32yvsk9l6eb8G5+VHm/mTVzZVLlecf/zeVb1I5sT740q4X32bmAf6VeReZPv6vVoNFNrNBqNxt5gkalFzxxHqGfxXEsFIyPIYCjxzUWxV96W/D1KMLRDUbeeJRhmOXXG6lVj4v+lqcSe6f2pU2ZbtIdEicntVfFdc5JnVVwzsy9VWQAqHD58eGLfi9exVEuPOMYexT5UjPy+++47cCxtbNI0TqdKqJx5FtIOYTuF9473S+wjpWza2ljYNp5LxsH9HtfaEjNtUGYAtm0xfimeQ49A9iNjaobX0TFa2T1Cdr/k/XjkyJHZPV+VN6GtPbtPaFOtEj5nmWxoH3f2FK+B2be0XQfuNz4HIruj3Y2ZZNxX/x09Kvlc89+ZXdSotAqcq8w+Vl2Pc5WhiqHMkstX8XAVmqk1Go1GY2/QL7VGo9Fo7A0W1Y9HjhzZqC9IuaVabUUDdKb6YuocGgkzd/mqXRrJM0cRU14mXjX9jwZbq5NoEK4Sp8br0WGDiUyt0s1Ue5yLKpFq5pjC8WbH8pjKHZzG9DiepfRY8Rqcgzhmujz7byY9jS7xNEo7kazXiym8ohqaiYZZJzBzgKErf+VMENX0VBnTGO626FIex8z7ivdMHBedFHx9z4nnz+POnH+qlHGZupBOOlb92jyR7Y+lauBEHH92btXeXL3FKnE614XPEml6T2W1yWIb8TfPl9fBjhpZHTyqUZk8nAHP8bnq9Xb7lXowU5VbjckE8R4n25SmKsoqKD9bS841xx3Xlc+oVj82Go1G4xmDRab2yCOPbKTQOfd1v7XJUjJHBL/RWRm4Suo7V3qEpTiy0hwEq9ZmTI0u/ZTI6GIb++4+0EmCJU/i+C0JmRVXDM39yJwLqpCIOZf+KkA7kwR9bY8rllvJkO2TyLrcBzvjeB3IbDPm5Dkm23cf3WbUKhw/flzSNviZSYP9GSsRuy/cq3TTzwKa6aacaRHi9/EcBvtyj8a5d6Vpgs4tns/4ve+FyjEqS2TLfruEDp0X5hjvLk5G1TxKUyZGzUYWqFs5lxheF891TH1msESU193nxHXhPcVSRD42Pt/oMMbg/rg3OQbvX2pFPI4q8bVUJz32vsgSKFeOftRiRVDTUSXqzsLGqCGo0Eyt0Wg0GnuDRaZ2ww03bNxULY1Et1W/2Sm5zBUupBRVBUxmLqGWDlmc0dIIJc7Yjvtk6Z2JZ6PEPGeji+dkSTazJLexT1nSTktg7r+l6irYPNotqiBP6rbnEgxzPJRAJenjH//4gd88j1/zNV+jDKdOnZqEFWRFO9lfz0FmF6Ek7hRTllJpj4vXu/vuuyVJ999/v6QtU6fkHqVRMzTaVL12Li8SizXG+0PazqGvx2KO8Xq02XLPZnarKlCfaZKsDYhzwn1O13GPM0tRddddd0naMjXvYf8e2S0D25dc+s8999xJH7IE4FUatsxe6T547jhWstbIaDJ7ZLyekWmVbMtl4HyWiIC2sypYPQua9rj4LKbWJY6LGjUmE6A9zmORlvfd3LO/st36utnzm++aCs3UGo1Go7E3WGRqH/3oRydM4Au+4As2v/vtSW8W6lUzT0Z62FWBp1nZC0sUln79Zjf7im969tVSlwNzMy9BJoPNStpI895cnBPaODKG6nFZMvd1aWeKrNIS+JKdYc6bi1KdEefxYx/7mKS8uGGGBx54YMNaKKHFa9Eey6DsuHfoceX2zdTM3DJm+JKXvETSVhI3Y3NRT3+fBdJzP/n6Xi+zFulgwLc0tf95bd1mlGgpgVcldS6//PLNOVVaIo+HbCYr+ElbmpHZRzzmcRwPXI+2nCzdGD/nwLRm8TnAgHOybY8nskX/33PsZwXL62RzQVsTS8Jk9h4y/7nE8AbZW5YoWcrtjGR1ldYl82Bk4D7Zq+coPh+sAWDJq8pDPF6HY6fWJj4naIPs0jONRqPReMZgUVx64IEHJpJmLGpoSZn2nLk4NSOTxLPfM6bGdDJmD5bqstgI/0abVtYPSjW0yzEeKvaxiv2q4smyPjAdz5wNj/PE62QMmLrsKmnogw8+uPm/GUbmlZjhU5/61IQBZimaqk8yNmnLgih1V2l94lq4D7TDXXrppZK2rD+LqaSGwFK3P6OE7XRRtBlTa5HFK9KW6n1t2537HteJLN4SLT2PycqkqX25KuEUx/eJT3xC0pbhkk0y7iv2jcdWePTRR0vPuNg/zq3/ZtLq+FsVp2qQfUlTT1+fQ/tvxtSsEaAXovdSxibdLp+9nj+WUYr9pe2wmqsMLH7L55/HEvtmOxvjPZlQm/+P1/O+y3wJmEYvxtllaKbWaDQajb3BIlOLb3VLeFF6t52iKrSXIWNg0tQWRFYWz2EZBet3/RmlRLKdqmRC1KHT5mQwFiyLU+M4qNvOYsCqGD0yONqdMjD5aFZGp4rV4XUtjcf2Ms/CDEeOHJnEnmXzVBVCzZIJMztMJfll+9CSMSV/Mvjoteq9Z4bEYy3tf/rTn96cQ6bk61irwbnP4iO9V8xMadOJLNlsjjFUBmM6Y+yeY9x4jzD7zp133rk555ZbbjlwLD0aM6ZGW+ESU3vqqacm9398DnBu+dbcIRsAACAASURBVGkWns2tJX0/x8gE+HyQtnPm9v23Pz2+eF963mlz8ji8tlkZKbdDL19/us9xLTk+MqXM29zzxMTM3lPUhER477h9Mzba9DKvVaPSvM1lsInvnwzN1BqNRqOxN1hkauecc87EIyZK78w8QMk5Y2xVbkJKX1lcBaVQSxRkalGStZTBEgxkMFHKMiv1J/X7tEXN5am0npw65yy2rYq4p2dWnGdmOyETqFhNPIaflvacW1HK53YOR48e3YyZTMC/x+/I1LJYpsrbrSo5kmWy8TpTf59dl/NhSdZ7inY6aTpPjE+kbSvuHXro0j7hccWSI/RQq4ph+rqOdZOm+5r72OtvdhavU3k7ZkytKpha4fTp0xPmlHk0Gx4zmWBW6sjt8PlCO2k812Om9sPzQy9waeqN6HPMjq644gpJB2MOmb/TbM7ern6WeAxxHs1g3H/32XvJf8fnKbVmtHH5e8dhxnvfNmjv64suukjS9F7MfCJ4HZYMi/PIQrV83hHN1BqNRqOxN+iXWqPRaDT2Bovqx9OnT0/UMtFQZ2Mh0wkZWTVrqsF8Dp1NMgNxpbKkei4rXVCFDvj3qH6kIZhOBnNphAyGF8w5z9DdmyrYubRjBAMp59LVMBTD8LrGOaFjyJKjyNGjRyepbaIKySoIptkxPPaoYslCGuL3bnMuCa77YPWJ9y6D2OP/6SBAl+oslRf3ZlXBN7qfMzSBqdaYWDkeQ3UmXfqzoOLKZdwpxRxgHfthdZnbYYhHZuw/W/XjoUOHJvdCdPqwSo1pxNjH+D0dZezQ47n230zKLm3X0PcFQwbooCJN1XFeO6qW41z4Ozvg0UGDgfuZe3tMZRX7TlNAbI/p5RgozhI1sR2addxm9rytnAQZQhVVspmqdQ7N1BqNRqOxN9jJpZ9MLUpMNpSef/75m+OlqVt+ZClkb1VS0Cxwm0ZCt0u3z8wNnJIrS0xkLILn+jqWRjIXazIyusK77Sh1VyyODI6f0rRwIFNr7RJ0aXguHEAc14bjqBJRG3FOvHdie2ZK/o5u31l/eW2f471E9+k5RyWvvx2fLKlHibAKNM+Cu9nHyu2ccxHnhEl2DTui0OlAmhrdqeGg1iFzFPC5Dq698cYbJeXMhEG9ZGYshhuP8TyyhApx+PDhSZHNLDkxGUsVLC9t55bsl+viNrPk25dccsmBMfLvyDA4H74f7XTBBAKx/0w8QI2KxxCTZ3MvsgyTxxD7SG0J548p16LmhgkCfD+zXE6WJqt6JnuPZg4+cykXI5qpNRqNRmNvsJxVVFP2ExmNCy9aYmECW7rPx++YgJVvYL7xYzuVC2gmHVRu32RoUYKjG6mlG0sNlq7YD2lqZ7O0yGDjeL0qzZPBOctSbHG8bDMDJSZLW5bY47mUFrMQAfaDfcnK3ZNJ0F4RmQXnkAGuVWhJ7D+ZFBPbRjsMXcTZBsvR8//xOmQeWfoyXs9zweDrKDF7fiiZW7r2+LKEtj7HwdXXX3/9gTaytEUMK6BtKEuFRZawtHeOHDkyKQETmRrtxWRqGeNlCAmT9DJBb2YnJQvdxR5bpQbLytlw/fl8Y8KALDk1Ex5wL8W1pNu9191hH1V4iDSdJ2pesmLQfAbTzpwVZWZ7zdQajUaj8YzBWTE1I0oW9oQ0Y7MkY31ylm6qKolSFeLMgvdYCmbp7Z21z5RTUfp1u0xtRRtLJm2TLTLo121mSZB38SjkWCp7D/uTSZ5GVUA1SpduZynFUbyGj81sT1G3L233ElMPxbml1yb17ZROs33ncy1BMgFsBFk8910W5O2+uP9kGkwvFeeTSY7JbLj/Y9/cV8+f59Pfcx9K28KvN9xww4G2WPAzzg2TE5O5ZfuE+5olboiTJ09OgqKjNyX3tMfE1Hfx3nA/s+Dq+HtWjJJpo6og+Qgfw2ehr0uGLdUaLt5zc/eVr0evUXtmZknFqZny97ap+nmQFael9oAJOeL9y6TOvG+5zyO4xhWaqTUajUZjb7ATU5sre+K3sku627PH3lpZEk2jijmbKzDKlD9M9LsZWOgj7VEsLZF5RbHfVULWLE5tzvOzAtMg0X5F203mbUnptPK+i6B9Z85rcJdx8HhK+lECIzOy1FvFBkbQM5YeePTUlKb7jMfS00ya2hzoWeg9k0nb1Fqwj9laks1x/TOm5v1sm4Y9kpnY1n9b+pakm2666cC5jFci25DqYrdmmfQujOPK7HoZHnnkkYn2Jf7N+DqyhCzFmteXdkp6P2ZJl2kH5zi8d7NEvNx3tPvFvcP0b7y3aeuM9zS9qj1ftFFHb0um4aPt2+Oi3Tm27z5QO0J7dwTXaS5BfFU8uEIztUaj0WjsDXZiakZWrsRSjfX399xzj6SpvSKTmA1KbdQ9Z+cyg0SVYST+n5ISpeHI7qpyMWQAWbwSPXsMt5XZisiq5uyYRGVTm5OUmMSZ5UOyuLLKM3OuXxxHlH6Z+cJ7hp6YWWwM2TbjoLJ4RWMpbiz2mfajauxx79DWUNkvM3ssj+HezUoPeZ5877kMDo+1tB2TVJstMMk2mUDGDKmtqPoqTT3XMvtlxIMPPjiJX4x9cD8rO0umIeIecZ9oz2EC6tg+M3gwEXCMv6OHLtlI5gdAhsl7mwwxZjBhn/h3pmkh6zETY9kaJ1aOxVKprcgKAUsHvYmr5PXsc7yf3Cd/LmUWaabWaDQajb1Bv9QajUajsTfYKaEx3UuzlFd0I67cyrPfqvpfmaMI640xSDEDaTedMDK1Gq+TVauOyKpKU71ZJeyNfaiCyOeqQWcOB9l1s6BLqkToEBOxNAfEoUOHykBkaeo8wiBRGtSlaUqoam/OhUYwGJbHZsHQS1W/M2ePylGnUi3G7+iQYrUTa35J0n333Sdpq35kGAIdsLIwB64/VUhRLUa1GdV2xlyYw5IK6YknnpjMdbw/6dzFGnlGVGtxLa0qZO3ELMQoSwYcj8nCDuh0Q/Vndo8x2JmOY0yJlz0bWfNvLsk3kxLTIYTu+XE+OS6fy3nOznH4B0OyMkcfqqGj6j1DM7VGo9Fo7A2elkt/Bgal0q00SnFV9WK6d/L60tSFPquuyr5SoqCBO6t4XKWtYoqtjCFmqazi95yr+FvFuuaYWpUkdC5VGd2NKaFnUhGDapdcaw8dOjRhi5mjhSVmuhdnzgRewyoomimwojuz17cKHs/6yLmrjP8RvjbZXBXsG6V/Xs8Ss9MWWSPiNGbSNsWVtSR0VKqqm2dj5p6pko5HsHRTFk5BhraUZODMmTMTZ7B4r/E3g8HYcymoDLdhBxsGWrs/8TdqLeg0kfWJeyVLikCtBVkP1yVej2m3fP94HN4fcfxu32P3fcVwmjktHZ+RfCbGZ1mVZrAK74pwv7M5jmim1mg0Go29wU6lZ1j6IUpHlTRI9+wYtEdppAoeJpuIx9IWUDGceJ3Kbd1tZKVgKDnTnpDZ9CqbCss4RGmVgaBkHHNJium+TFd5zmc8xmNmGjD3JwtIz4KUK3Aes/IhnrsqnVCUmN2fLJhb2kqcHquTAUjTAFlKhVlyAa4HJdazuSc4rozte10cIM20ZWZod9xxx+Yc/0aGRlYUi/saZC20gc4F4XP+GMAf55H32pwNXFqtFUtERa2BE6dX7If2pXhN2piqYrWx/1533y/UGGRFkhm6QXbqtZ1Ll+d5432aPXcc2uFjmB7L30etmdeK9lCGFvB5K9Vpsfi8y1KVZWm34rgyH4XsfZChmVqj0Wg09gY7eT+yuGWU7ihxkZ2wRIM01f3zbT2XLLby6KOnUdZe5dHI4Ms4rspmV/UnXq+ydWVehGyH0nBl84i/ZWVQ4nXjWjH9EVmX5zNK95VXZ4XTp0/PBoAblN4prWVeaFxDpk0y08mke9vZ3D6Ze5w/2jaIbC25dvQCI2OILM/9pTexA6b9GcfFNEVeOyYlzrQmlK6rNE1zKdK4D5i4IGLOFh1x+vTpzTGZVM/7kyVaGJwvbeeU9xjZUJbAgeyXc5ppcvjM4PMus+1Wnto+16wrS45Q2cGolcm8ic3UMqYU+5E95+a0ZNLWHixt92SVkMBzEwO2aU/sNFmNRqPReMZgkamdOnVq8mbMkvdSOqAHWGRqTHtCrylKIRkjWGI2EWR+VUG6KP1WpW2qhLNLkmc8J4sXqVjWLuOryu4w2WuUpMhO6AVH79V4zK5lcs6cOVOmJMv6acwxwIqp8+8sRVXl6VfZvLL26fXIRNS8ZjyX94al4yzllaXpu++++8D3vmfi3HMcLGRZFYKMx1a222xMlY3I52RFNunZupQc+957753YleNeZAFR2pozlu9jHSPFNGnut1lC5nXNeDXa/SKqVHf0EI/PRrdP27H3kNNV+e/IaGhzygrKSrldrEqU7Hm2liOCGjZqPnxuvD7ZcJWoOz6rWAZrae80U2s0Go3G3mCRqc0lW43/p22DUkOU/Kjrp9Q1xwTIGrOo9QpVcT56tsVj+UkbRHauUSW2zUrBMGaJDJdtZSyv0oMbmTca7R60y0Sw2OXSnMdsNNk+WmJxmT2H7L3yNMwKVVIip0feXBYVtluN5engbDQRu5QequyAc6Vuqmw+WYJtxhQRmd33bOLefA3bEzM7DL3xdomZYgYZPjs8Lh8XGZTtsG6fGV+MuTJJtOGxqGrsk/tfeewa2b1B7Qtja7O+ce9wXBmDYp8N7t34LOH8kYVldu1dStlENFNrNBqNxt6gX2qNRqPR2Bvs5NJf1SHz7/E7Jqakq620pfV0abZBkTRzl7RFc6C6hMZ+Gv3jsRyX+2iaXNVOy67LEIKovqMTSaXuylR1dFagKzkN+Nl16ACTJbalqmcXVHNdfZf9nal0KjUM1WVZ9WIG41eJjWM7VcqrbD2oXq5q5GXq1UpFzT2UqR85ZvY5G0uVFmsuCDtTn8c+zamcd8VTTz01UcXH/cswFd5TrAsXf6PKjfXafA4rRkvb4P7KvTxez88KOvCwInoM6aCjFhOczznwWFXJ+bdzkdWPMRl2lrIvXpeB21mNPPfN1+dzPc6J++B+0xGFabQiOJ8Vmqk1Go1GY2+wSHNOnjyZlgMg6IRB416W6oqGUibptLtqvC4lSr/pd3Hpp9MHnTMyFkHX08qFNyuVQDAZbib90iDLthgIn4HG/0zSpcRP6Ttzn63CDiqcOnVqMo8Z664k+zlngioMoGI2Us3U+P1cCSIy6LlA3SysIP6dsS5+V/U5GxfXripjFJnaro5WuyQ1oCYkO39XFnfq1KnJNaOjA+edLvZM9xavySB4g0HrsY8+1s8sshQ/h7KxV3so0zb5fF/HjM1OM3PlrNyOmRkdbGLQPfvGOfEe8nMuCxSvymMxJCs+q9xHhix4PNm7hmEaMYwhQzO1RqPRaOwNdrKpGZkUUrm+U1ebFQyk6yxZFm1t2TGUvjKmVrEtBv5l7Id6eNrOMvf2qjikpZIsuW8VsFsFFce1oAReJZeO16v6SN39HHtdSmgcg6/nAumXmHR2LP+uXNEzmxo/58qh0N2/YmpZomb+TYkzS0lENk9mNpfKy2CoAvuY2fCqfZ1hV6Ye74msHM0SWOIoS/zMdFm8Xhb6wiB03p9mEdk9ZvgYu6TPabP8G5lMlrCB9yoZKBMPZ/c0g6BtG2Rb8XqeA7Mg27jI2ObCXswEzz///AO/R4Zo9uh5M+hHEcfJd8kSy2+m1mg0Go29waG5t94HPvCBp+++1HhG4eqrrz5AT3rvNHZF753G0wX3jrTwUms0Go1G43MJrX5sNBqNxt6gX2qNRqPR2Bv0S63RaDQae4NZl/422DZ2RRv7G08XvXcaTxeZo8hinNp3f/d3b2IU/Bnjufx/xnZUcVDSNNaHcVuMCcli3BjN7hgTxgJJ01gW5iNkrsT4f/eJBf18PUf+Z9lBqowObiNmO2BczVx2BvaV+RqZC9Jrk8UcMhaQMSFZaQvHmriP3/AN35D28aabbtrMjz9jTJWzJDifHgthZtk6GNtTlbnIMrJkMV7xGLcd42pYYoTFLh1PM5fhhTGUjEGKsT/MC8ichtx/8RiWHGHMHvejNI358T6oSpLE7x566CFJ0q233ipJuu222yRN5yrCe8f9f/vb3z45RpI+9KEPTXKyxrVnJg9+z1yt0jaPofcZ87dmGTAM31vcm7tkSmEe2Sp3ZmyPf1d5K+PzgTGN/pwrYFw9o4y5ver/M3fmXOwwy+Pcc889krb3kWPq/LyI/7/44oslSZdeeqkk6RWveEU+pnK0a2TVi+cWzmDKoRiUyEBMB/wx9UxWq6yqGTYXPMogb056lvDX//ckM0CXAc9zCY39G2sjxXOqlxc3cRZUWlXfZtBttm5VKqrswcRA3azmWsSznvWs2fmJx0nbeWHKnrl0WVXQ9VyQKB8qFAKy9EgOFuUcc+/G/vuTibqZxirOI19qVTB59lKrkjp771KYi/9nejsifs8XrqsxO+jWcxIDbP0yYAByhaNHj27mj/2X6ork/vS9llWkZrLcKklC9vL3b1zjSiCP51bPruylUyUa50s0E95Za47nZAHb1cuUaQ7jc54B8NXLLUu1Z7zoRS+StK3wTpIkSS984QsPXKcTGjcajUbjGYOdmBqlkkytQAmMTCaqL6guM6jmZEVa/j+CJQ3icVRNMj2S++zUMNI8q4pjqJhivF4lnc6pZA2mTaqS5MbfqtjDOca7lH4soqqsTJx33nkTZhlVO1Q/c0zZdZakNEpzWekcppWi2jbOjefFqisys6xNSqqZ5B/7GM+tKgAzmfQSS5bqyudZSjfOq8eXMSpqIKweuvDCCw8cF1WDTASelXUhqH6eU6Ox7Inn3iorSXrggQckTVV3ZCO85+L/qaXgWmd7J2NIEVkZKbJtn+v5o5o9Xrsy78yh0o5l5ZGq8fH6u6RE87r52Xv//fcf6I+0VU1ecMEFB/pWoZlao9FoNPYGZ2VTy3TyfDtb6iULiqCExGStcw4OBKUFI0qylByY0NaS5gte8ILNOUvFOucYGnXaLMVAHXf8juNiSRqWhoj/rwqKzklqFRPNnDS4bhVrjm1XDCDrLxOuZsl2aavN9mS8TmYTrMoUMUlxvLbnibaaOYM9r1Ml341ryZIzboMSfITPsUTLcdLhIt6T1IZwPjNbEdeNdj6WPIn/z1hQhsOHD0+KaMbrVome55wxbNejc1flLJMVJaXNdu563E9MmJ0VmOW5fL6Swce9kznUxPaz5PJ8RvBZwv0Qx8A58TqR8WZrYM2HYUZt57HYR+9Rs/uLLrpIc2im1mg0Go29Qb/UGo1Go7E3WFQ/nnvuuRN33KyWE12OGU8Tz6nccE05rXZkbMbcb3Qdj7ScVJ3u+lY7ZtS6cpPexYWXx865m1eqEMPzmdUl49zTkJqpP6qqtRxv7I/jezI1RoYjR45M2svUCjS2Vyqe+P/K6D43j4xDqmICs3i+SuWa1WDjsd5vlSoxUz9SnUWHmzkVqe8RX2euMrX/73OswvSa2F1/LvyEqkXGoknTys1Lxv5jx45tHE0yZxyOuYqPjS79XgeqBSuVW3aP0XGHtcsiOC+8bqayZHwl47oqV/t4bFX3MIvH9bGMT6Ra0usVXe3prLRLrUGvAZ8vfDZn6m6f4z1ZoZlao9FoNPYGi0zt1KlTm7eppYXMsOnfGJiZuSDTxbkyZFYGVmka2GrpOwv2pVRX9XXOcYMS4Zw7O6U6tpn1sWJxlMgySbfqC/sax1dVRfY4GW4h5Qb7OZx33nkTJ4UMlNrnWDediCjtzjnFuB33JUqd8dwo3TOgledmWTqoRSArnpPUKZlzrn3dOE46ipgpMVOK77tYVdj/pwbEfTVbsqYgXo/3hNv33zErhLErUzty5MiE0c7dn9V9Es+pgtB5HY8jYzRV2EmmxaqczPw9K2LH61TPRmY7yZz2DD6nM8crMlqHPdDxxvskXs/neA6s+WLITEQViuJ+eJ/FPZo9n+fQTK3RaDQae4NFpnbixIlJqqvMPmaQ/fjNHCV/ui2TiVX5x+JvZENMqZOlcyHmbEOUCpjiqJK+Y38rZpYFFdOF22DfMrdzgvYFugVLWwm8kiI9f05jE39zzr8lafu8886b5ATNQgSYaoisNc6TJdVPfepTkrbB0LQXkI1L0+B+zoH7YWlVmjIZ7hm7Jsfr+BwfQwmWAdbZ/nRffP8wHCBKskaVtsi2UI873m9M4UV2Z9YXz7E0bVu0j2F4QMbUPOdLweOnTp3aXDNLl7YUtjBnr6L9sLLzZNoQsh0G+8+xLjJEfh9/43OtCgeJGpAqlZaRaby4/tTG0C4bQZbKY7NnVBWS47+9ZzI2yetUjLCZWqPRaDT2BjsFX1Oqyt6QTD01x9TI0HxMpZ/OvJAqW0omJVAiouSX6d+rIFSjktxin6rxZQyE7LXSqbN/ERwnP6NUR6836t8zTymnQWJm/wpHjhyZTYiaJbuO7VuSjte59957JW3ZlI9lRnB6uMYx25vX7Xte3FZkavbaMyM03L4zhsdgUifyZdCoE/6a4exSwcLwOrkfsT+eH7JKr93x48cPtBX76nNpd3P7TDYd2/XY/Ul2bAYXzzFr3NUuG/sW+10l9p3LKk+vV7IG2kIz1kV7ouec1QJiu3xekvXHe5vHVgH89CCPoFaJFQvi9ZhAuEr2nrE8zxOf8Xy+ZxUeDD7XmHQ+nu/vrCliWjajmVqj0Wg09gaLTC17y0aJn54vls78xs3e9PSw87G0Pe2SJJiMJkvvxPikyosv/l2VcaFkkfWRrJV2nizGjdJNFUdmiSrzCKQe3Mf4nMw2Sd09JdLMe8wS85xHI/uWecx6HSzlmh3YXsY6a9KWRdFLj+vC8cQxMebGEqzbivXU3AezLzJB990sLI6LNaJoO8xs1DyGiYDdn8he77zzzgPtua+UlN3X++67b3OumSjrtdH+ltnAvF5eE5cI8f6I2pmqZEuFRx55ZFKvK7tf5rxQpYNMhjZVemYzzi96Gnru6BXocWTMkN6W3Ktc63gOvR2r2M2sTBLZKrUY8V6kVyNjK7kGu9j/6N0Zn1V8ztH+S5YpbfeV95ufB83UGo1Go7H3WGRqhw8f3niksOqrtJVybCdwCQGyrigdMOuIpZ/qnCyhLSVzMoIscS4TpNLjK/OuMjLJvxofbWiUmDNbISWYyiMw85hbkgQzvTsTpJLpZsyKRSFjEcgMJ06cmPQhSui2j5k5WOL/5Cc/KWkrHce+UPqsJHPal+JvtEdQ2p6rms71zxKwkqnRk5A2iCiVso/01MuYmvvk9XCfDK9XZgvl+lga5r2RxTi6TIhtHB6XE85GSdrPEPdhieU/9dRTm3N8vcicPC+RxUvbZxSzqmRjcX/NpOdKz9DbkazEiOdwr1Y+A9FW6D7R7kdmllX25j1cxaJGVKWOdnkWV57YtLXH58QuCe9jv+Ixnk/ub6KZWqPRaDT2Bv1SazQajcbeYFH9eOzYsdkUUabups2m0qS8WXAyHTioPssCGrPEuPH7LEVVFdBMd/moqmCaIqo36VCRqesMqg4yt21+l6nrpKmzSzyW1XGrgMoMVLlkKcqYRihWCq/A8Inoim71ldUJVmNZXZGlhHJ/rO722Kx2mqtVxhRb7GPmxMA6gVXybasFpa2qkGEaHifDXTIVDFN6eXxWyca9Wjn7+LqeT899vB+oVqWayX3LnMO4r93Hu+6660Bb8ZpZouEMz3nOcyZqwrhud99994Exub82adhxJ1Nzep8xkN/jcoXlGOBe1TOjs0ncf9y/TCvlZ2UWpM77sXLTjw48ngvOre9TXy9z9uAz2edQ/Z49d5gYmomjo/rR/bWpwWPnPo9p2aw+997Jwicimqk1Go1GY2+wyNTOO++8SXLb+KYnU6MUnBlsDUqUNqRTWoxswddj0LP7mDl0VE4FdP+P51SVrrPATB7PpKMMQM7mwlIhGZq/Z4BoZBOV08yc2zT7xBJBWVC5QbY0B/Y37h2GCHislhL9e9xTlCwt6bkNS3F2UogsiC77ZLBZ6Rk67lRsd67UkfvqObbk6fnLEhOwjJDZRbYu7JsZoeeN7uhxX7D6O9snC5OmVYvtcu35NGuN+7xy3a5w7NixTXu33nrrgfHE/3uv+NnhcXhfRwbN5OeZ9kCSPv/zP1+SdOONN26+qzQ1dKOP68LEyGYf1lB4XeJ8+hg6ilHLw6TwcVyGj73yyislbdlRnHvPl+fPe/OLvuiLJEm33HKLJOnaa6+VdNBJw9e2YxfLFPkzMqtLLrlEknTzzTcfGJe/9/M9rpvX3/MUWVyGZmqNRqPR2BvsxNSYIiUrAUE7jiUapqaRtpKLJfOqUKURpWBLKJYsmCR2zqZWMbMsYJv2AjKluZIndLdlQGtmF2G6KpbWYVBmtgZMmJwxD6NKoUO9eARLEM2V3/HvvrbXOgsD8FpaorT0baktjtW2FH9SUjZDYykLaWtnqYoZZkljaUug+7/HFSVYr2VWQDb2ja7e0tTd358e1yte8YoDf0tbxuf+20ZkCdp9Yzqw2BdqEWhLi6nDnBbL62QJ3eO1Tc3Xj32gDaXCfffdp+uvv15Szmhe+tKXStrOj/vAgsaRYdr933vF+8vPo2EYJElf9mVfJumgvcpMhc9CBi9nidQ9ZjNa2+w+8YlPSNqGtkjbdaXWqkrkHsFCnx6f+8j9H+fC43L7H/7whyVNGWO0/3ldLrvsMknSPffcc6A/tOXF82lDMzLtj/eO9+Bb3/rWyTERzdQajUajsTdYZGrnnntuWVJempbZoM2JzEaa6kRpAyKzyIL3/F2VJDgL3mOfqK/OyqJU4LgyO0VlT6JuP4IMt7JtZR6htEXOFesjW2ExzAxVifkKjz/++MQGEBmGf7v66qslbaVt7ynr86MESHue55YS9FyBWYPMxX/Hc9wXSuRMXxUlTjMVS7KWmNnnzKOM94DbdSosr+2Xf/mXT/poSdY2G39ve1xW6JLpxbMEAgAAIABJREFUkMgEPBdvfvObN+d4Dc0IfYzXL0uSbWnd0vtSwcf7779/khrsJS95yeZ33vf0iva8RU9AevaR7Zj9mznF55BZlplGZVOLDJSlbZhy7OKLL5a03S8edzzWe8fjoZ0uXs9j9R4yo2bfMq2SmaH7bCb8spe9TNJ2rSP4/LRdzPvQaxS9pN2+nx3emx6f7Zm333775pzLL79ckvSe97xH0pYZVmy/mVqj0Wg09gaLTO3IkSMTL8UsjVDlFZjZX5jwl9IvWVeU+ChtkGkwKWm8HtkJr5+luKFE6TaYmiordUPPMerFI5Pi2JkEmcUaM6ZGmxDnMfaxsg1WOvx4PmO3Kjz55JMbtmJ2Hj2hvEaW1izFWVK2Lj2Wj3E7lv6oKSCjjXNMuysTKZsJfMmXfMnmHLOEX/qlX5K0ZUzcf5G1um9MK2dbiiVNM7fs3vDcuA1//6pXvUqEmSy9+Bh35TajrYgxqByX7WJf+qVfujnnTW96kyTpve99ryTpgx/8oKRtQVn349d+7dc25/h+evnLX36gjQqXXXbZRIrP9httQT7W9rNMW8F7yfvA+9pej/Ee85wxFpQxjvF6Xl/Pu6/rufbv3lOxfc+7Ga49AN0nM0enJJOmpX/cN88FWZ5U2/BtfzNz+rmf+zlJB4sGe4+wFAyfbzHZNzUr3m/ew54r29el7XPA2jnPV+xLRDO1RqPRaOwNzoqpbU5K7BQsMki7TpQOs9IrEbG4YDxe2kpizI4wV3ivitciW4nsjmyLrLFKaBrPYbLguf74WEtv1mF7vPT2jHYmJiX1Oe4HPenisVUC46xMRRUzUyGO00mLo5egbQqW9Ji8N7MnVuvP0kdkutKUjdCm5nmMthtLwjfccIOkrc2DnmZZ9gnbGMwubeOwhJklpyYTd19t4/C5cR5Z0PPFL37xgbZs42CWEGk7b3fccceBY2gruummmzbnmPn5nmbMlNfgtttu25zj9bfdLbLvDKdPn97sD4812i3Nhr1m9K713jMrjscwlo1xsr734v6lNoRez4x1jP/3/Pi6zCwTx+V2mWDa6+/73tqM+CwmA3TfzJSyOEX/333yHF1zzTWStgzR+z16anovcj69z+n9LW3Xx3PtY9w3j++1r33tpI/eM16fZmqNRqPR2HvsVHqGORqzuBpKPWQH0ZZCbzNKbcyuERkG84xZkrYOOpOyGENCqSuzU7EsBPXUZDZRQqsK+tGjMUoaPsYSDOOgWFIjshefY2ZgCdkSOj2OpK3ETM8s2s0i46V0uuQhevr06c26W9KPkjMzhlhq83W8L6KtyPaO173udZKkP/gH/6Ak6brrrpMkffSjH5WUl0nydTzvXltnN7B3lVmLtN1fx48fP9BHgzad2O5VV111YByU3L2XoiRrW4nXyhI67Y2Zp64ldNsEfY+84x3vODAn8f71+pgt2xPV0r3Pidk1orQer8uiv1E7Y7uO52bJ+/Huu+/W2972Nklblhz3vNvz+phpMDYszq376TVjrlEzDN8/8dwqX6zn4pWvfKWk7frF63iOPZfcm1n+RhZV9Th9bpaT0/e/58Ljta0ry5no67AYqa/LbB5ZPk+Pw+177rN8mN4jLEXktf3Yxz4m6eCz0XNKW3WFZmqNRqPR2Bv0S63RaDQae4NF9eOhQ4cmgayZ84DpMB01TKezaqV096fKK0vDxCS4NL6y9E3sg2FVDtWpVslJU0N05SSRlTPhOYTPjUHlpvtMoWXVolUhWbC31VtUHVodwb7HYxggThfoLHSAqdAqPPHEExuXeCb5lbZzRlWrVXxW+cV0Sx//+McPfMc0bTY0z1X79VjtEGL1hlVsUb3h61ROLL5unCePx2mQrAaiyijrG6swu13vb/cnzqP3kV3sfe7rX//6A31neEBsh44JVlllLvHuv51mfH2mn4pmBaaim0u2LR0MSM/CZpis2b/ZScbX9j0gbe8hB1nbecX3GNWzcX2YiJmOaVlwsp8ndEzy/GeOFN7zBgPc6cDmMUjSG9/4RklbVb/X0G2671mJLf/mtfRzleaJeM+7//70HvWa2NEnqh+5Tj6H74d4D1oF72dylmovoplao9FoNPYGi0xNmkpzUdKrkgLTGSSmSomGUakuqujjosTHgGK/tX2dLISAyU7dviWYrMQNHV3I6nyOv49MjX1kKqK50jCU3n0ui7BmRl9LTJayLIW5jYxZkS0ZWaJmnr9U6PHkyZOThNOxPZ9PRx6vJV2wpW0yU6+l0+l43iwdWrqP80Rp9Bd/8RcPjD1LtutjKZUyxCMmbaXkanblds0eMubktERkBFlyZ8PsygzkXe96l6StAwzTxNnJIv5mxxA73HhevXfsxh/74E/Pkcdr5hHn0d+ZSdsZ4y1vectkPNLKMcJBtmRS0pSxeP7JiuN8edzeEz7W6+7f/ayK9zQdGtwXFj2NzMnnuG9V+rw4LrIc943OQFlyamsG3G+fw1JAcb9VSSb4vGOR0jhm36cMkcruX+8Rsm/vIf8dGbav43WJZWkyNFNrNBqNxt5gkamdOnVqEgQbJXaWpKf+mOmkDlwcrvQskJnZbipmyCKhmR7X/SfjZPLWCNqpKrYV9f1kaiypkyUWpQ3FEhHTyWQMjX3gdbKk0kxGTBtbtl5MaJwlZI543/veN2Grkd3RRsckrgyslqbBtpQkuQ+jvYJ7k7DbdOyj54PaBSZrjXuH7I4pj97whjdI2try4rq4XUvdtK1m5XHcb4YO8H7y73FOuOctIVP6jmE1ZLbUzrBQcOy/1yAmrM1wySWXbFid5zhK/L6mr+X+MQQm7lH/Rhd7rwM1J1mYjteHBSvpEi9t59t9YwiH7cMxcN/z5ParZwfDXqRtYmTabj0+JmWI7bCQLZ9H2T3PZzHTcGXPHbJipr1jUmxpG5rka2fPwIhmao1Go9HYG5wVU8tAT0W/pf13xpyqgqIsU+I24lubiUsplWbF+nhdSxb0KMySEjPYmWyP/YrjoMcS7X1RYvJ1KjZEu1xcEwZDk0Xuck5VuDKOa64waoaHHnpo44FlW0AMTqW90oj2KemgZ5S9wWw/4r4j88hSUFXMgqU74lhp0/TeyZLscu9ZmnZyWBf6ZHFNaStlW3K1jYt25sx2w3kkU/ff8X7ivUYbEb384ti9tvQIzpI8e8yvec1rJB200WU455xzJjbXrGwRPQktxc8VyDVYpoYJzjMvUQZh+3uyong+GbPnlKnwpGmaN+5vrzGTlsc+eF/5vnEgMz12Y58MXo9sLCuCyue3P93XaAPjfeqAd/fD9/VP/MRPbM5xQgCyuwrN1BqNRqOxN1hkaidOnJjYX7Iic4xnoRdfbINvctpxaGuJOme/4X09SgdzEhrPpSSVlWax9Ma4NKYFyyQYSvG0L8bf3Sd6IzG2JLOpUC9OKTZLTkyJj6wyi6Vi+3NSsLSyHZG1xDG7HUuWZBbWv8cE15Yy/R1jsAy2JU1tDWRqmXeYpUKfa6ZG78Roc3O/3SfbqZxKiVJ/vJ/cBzNblnPJWLevzf3GBLaZ9oK/uX1qMSI892R5nk+PK8Z9+hx/tyRtRw1R5qHrsfk72zFZTJO20Ai34fVgWZQs1Z6vx3JS3CfxWM+P54BFZOO46L3J5xo1RVkqL+8D2y0dr0jbahyH+8LYOfYjPufJ4vx39K7lOfQepxep+5FpsTxvTj9XoZlao9FoNPYGO8WpGXMSelVkMGMJjL2q7GAZCzKYiDOz3RmUICmZ0S4Xf6NumXakrJyHQa9L2rgiaE+svC2zvtIeQv27rxv7zvGwb3MlfLKYswyXX375RoL2Z5Z5hbYgxvFEadTMxXFVlgrNcFi80Z5T0tSm4OvTgy1KliwfRLuIkXkUssw99zvtP/F6ltjNbJx8N/Oc9f3kOfF13CeuZaZV8G+0pWZ7h/clWb9ZZfRW5DlLLF+alieJXm9kaszE47+j7Y52cXrOcjyZ7YnZiex5SuYRQc2MkwR7TSNz8pirBOq0uWfFad0uy7n4OnFc9Dj2nLBAa5ZZhllWMu/xOIYIsjqP21o57//4Hb1JKzRTazQajcbeoF9qjUaj0dgbLKofn3rqqYlBOKoiGPBr6k4DY5ZMl6odqihoJI3f8W9Wf86qWNN9dRcXdX5HJ5bMgMrrVm1miUWpaqUjTKaKnXNaydqK/a2SVVNlG8+fczyIOHr06GbvWA2YObh4reicw7CNCPefNbKszqDRPF6HwbA+di7tFx1DqBqNKmXX2LJTiVMeUXXEdYt9o1u5+2r1V5x7z5OvY5UbnTE8hqjupbu5wf2WmQ+ovve46Cgg5Wmr5nD69OmNezydQaRpkK77QrVdVD+z1qPPpUNKlr7K16ZamHspG59Va07LN46jpO06RVUbHVuodmT78f50e7fccoukrTrSibq/+Iu/+MBYpKnK0GOn81Z2PTqTMQA92zt8FtMZMDPRMJylSp5gNFNrNBqNxt5gkamdPHlyIonFt/Vcct54bGZErEqYkEVEkPmRzdH1XZoGp1YGzSxRcyVZMhwgC1KeC1qP/YnXYXAiDflz1aZp1GfQ7RyzooNPVrolW/85PPzwwxvnBRueM7fsLP2aNC0vEvtJBx33yUwmc0KppEFf1xJ1Jo1WaYrovh/bd3LiqmxRlkibkjkTazsRcHQQqMqfVO7s8d4gI6uYQFybGGITx8t7MJ5DN/klxnbq1KkN0zTjdYJjaVu6hOye90dcF4Y4kFnQ2Sg6cPj/3LNu33/HufX8mxl98IMfPDAeVgqXaueViknH8bIcFxMb28U/jotzwe+5ZyP4HKD2au55Q6czB1277y4LFY/NwlkyNFNrNBqNxt5gkamdPn06LS4Xf4+fTFuTvbX5BqercSVJx2P5N93Xo02NLCiTcpbAPpJBZcdWEkXGXllslAxhLpCa88lxZam92G9K1xkzpC1lSdr+zGc+s5G8LLXa3hSvRVsHg6MzF2RKiZaYWcYoY+xke1nKIV6PY43SrnQwlZfTOZn5VbanrBhllXLIUrjnMRZOtU2GNi1/MrA6jmUpLVKWkJzJEpgqinZBaWpjj+7+GY4cObJp78orr5Qk/ezP/uzmdyY75n2xS6gN2QKTs8dzed/T5sy0WbF9MyRqFczQ4nOAYQdsi/2J936V9s/jsq3tda973WQumA6Q18k0N7RFGnNFnvm85lrYjhoDrH/lV35F0jZkZUlT1Eyt0Wg0GnuDnZgapfgotdEDhqwus1/RbsTknVVqGPcn9mWuBIxB6ZOSZXYuvY3o5Uk2lgW0MoCbUk9WRJHj4Vyw79JUMuYcZcyUkh69NzNbIedkiak9/vjjm3EwqDTCY/c1yboiU2PRUSbppUSZsXx6uZHBZOfQq9d9dLLWyNzshcg+s82MqfEYt2sJ9rLLLpO0tUFIW/Ybk+nG8c2lkKPnGq+fMbXK9unv3Y9oC6Vn6ZLnbGzXLPXVr3715rfrr79e0raMDwPb5xIEcN15bMZoOT/VfRnH6T45QJvshOVeIsjYGCTNBAXS9F6+//77JW3nz58f+chHNud4TpmQorKfZ3uHc0Gv0ojs+RXH55ReLr0U+83nW4Vmao1Go9HYGywytSNHjkziqjL2RQ8iMqnMYzLzrJKmTCeLlaoYWuaNSTZZxX7MMQ+mCOP4stIzTPlC2170zLJ0Q+m9mscoBdGLq2Ir8ZzK7ka7U1zrKmVPhcOHD2+8Hi2txiS3luTtsUhvzTndfBWrwr5FfT/ZJ+cyi/Pjnvea3nHHHZK2Np1op6DttmINjNeUanblYzx/9v6Ttl517stLX/rSA23x/spYEiXzObtwlS7PfbTmIGNq7mPlLR37SLb4xje+cfP7Rz/6UUnStddeK0l6+ctffqB9xvdJU2/EyuMzmx/aODm3mVaB2ivvA9uG5rQXVdoysqMslZfj1Xwvs0htZIYubeQ9QxvlXLxilUyerDXTfHB83s+ZHd3z5edlx6k1Go1G4xmDRaZ27NixiRQ3Z7cyGIuTMTUyMup1M5ZHCc+SOCXpmHjU7VqCpBSSeWsxpq3KiJBJdYwxYxn3bCws/VB5h82xLjIESv20C0SQDWWJk+fsLBle/OIX6+abbz5wriVBabtG9hxkQmFmsontMPaQdjLaz6RpEtgqS0MWN2Qp0X11kmIzhFjYlEUnK09WS+rR5sZCtky67E8X3Yx98qdtWtyHmZ2RLLKKpZuz+1XezFkWIX/S7kgcPXp0klkmag2+4Au+4EA7ztLBZNVZEm+362cF15/sWJp607pP1GLFtaSN2Gvne5v3a9aOP/18YJ/jM8R7hplYDNterTWRtszfMYDum7VL9Aids4UyyTTXPI6nyvLEZ5a0nROPPcveFNFMrdFoNBp7g36pNRqNRmNvsKh+PHPmzMQAOKeSytSNUu7y7mMZMEsnhrkkmlStZZVTWema6s7M8M1wA6ow5+q3MdCUc8FKuNJU7VSl9vK45gJDqwD1+D2dJriOVXqe+NuSW/all166Mco7mWs8x6pIOmx4jrO9ZFUOHYQqZ5nMSM31twrGBvYrrrhic46r7Top7Gte85oDx9LdOF6TDi+8j1h5OR5TJSDgudLWrd1zzQTNrGachchUQbeZmotqR6qUPIbokOBjPddvfvObJ+1GREeBTBVueP49B6xRZ0claat+s1s89xf3Ybye26V6m2aJ++67b3POpZdeKmk7D77f3efMMcnXsRqQyZU9L9m8Odje6+xxejxuO/bRqkir032M5y0mhJa2ThvZ2Pl8peNX7AvDKXzPZ3XiWCMvc6yJaKbWaDQajb3BIlP7/9s7m1dLzmqNrz6nOx9koIhEiYlR05poEEMcRBBR0JH/sANRUEQQiQaDBGNrWvMhmEwcaEy6T587ub9da/9qrartvSN3r2eyu/euj7feeqvOetbHsx555JGDdWBB0Ii1pdcxtSrYb8vIciugKvy0hb4l3msGaEuTz9ymxN2DzQwtw5OtOhcfnlJC0FkwsNj/jyyXi8zztnvMrGIgoBOGBldXV4dO1aQV56JK0ogJSpt9uTVMNQYHsh2ArsbPfYYpYq3CvnJrDhgm25AYYomvfP/d/diityR0nNrJNx/DZRD5GhkbaxZZJIpweVZyWQXzZtZgqbJKysvyZiQocPyccGMW/sYbb0TEcUF1xs2bNw/3oZrjTjgBiTKem5zA4+Jn5tTtlpzYE7HME+vNCUqcLzND1j4MjfnguE4ci1gnnnA83sH2VFTPPMLWbu3E/WFN5/3tEeA6LQdXlRBwTzsRjTxGC3U7WabyRHnfvXKQYWqDwWAwOBvsMrXHH3/8YC1UDdy61ihbjTe7Ak8X1VVyNfbx22KpZH+qdjQZleQMFgTHsT9/q4A8F53mMZl55PNhgTn+xyfHrFiXCxm7AvUMx+gcq6ys1a5oucPFxcXhPFjQeR4pYGYMxBGw4ipLz/GCTsbHMbZ8HqxN4gXEGJgnWETEwiK/853vHI3NbDzPMb/ByHwfGBPs1fJW1fXABJDlgn3lMQAYAnN+586diIhDeUU+Hxax27w4rpnjY46D8Bv3lrHl583vCT47pnZxcbF6L2QG3ImSO76c58axbJdYsGa2inzdrJVP9sks388d986F6JlNMkaOw33n+ef7SpjAknSsa87H/cqF+xyPNev3AXPCMXMeAP+2zBdrKnsTQCcq7vd3hmOSe0L0w9QGg8FgcDbYZWpXV1cr62crowx0xbwRa8uyy6Lbih/ZEnMb99zIEIvcftqtMXI9WFMeM+OwXz5iXfToBpZVMXaXMck2zmTLDKWTYXLssGofYsv5lMxGxmpGaty7d+9wHJgVWVYRS7zgzTffjIiIV1999ejazCLyv7PFGLEudN8SqWbcztbjk7YmERGvvPJKRCz32fJbXF9u0AlT4X672NcZupkR2DvB/eaYsLvMCMxkOC8MBAZcCROwDdawYxyMvcrQ9JjZlvPlIl9Yo1l4h8vLy02Pg4/DGNwYM4/b4sAwJDfKrFgg/+Zdwhxyf/g9ZwfS0JXvEKHmk/PkQnqKyR3fszhD1RIJBs42eEIs0/fcc88d9mE9sTbMUr3uM7xGOi9Jld/g+29Jufxu5j3AO2RksgaDwWDw0GCXqf3zn/9cWfOVBePmjZ1YbP7NbMD7bNUjOEvQmVjZkqc+BWvajAYrNVt1lmKx33irFqNr34AFA9vI5+iYB3OBlVJZ9451OUvVYqjVd12crIpnVn7vCg8ePFjFZPLaYR6wMLHwYSWO5Ub0GZdmmlU81pZ/JwGV7wUWLBljbIsFCzPItT9Yv0gPwVJgLmaGmTnZusVChyEwjtyUlLWAV4F6JcdHuQeZYXfZZ5bpyhmanSQe27BWq5Yqlp3rcH19vfJa5OPt1WJWWdhmd8705H7AdHI2thmNn0/GRmugiIUp4YlgnbMOzGwjlszRP/7xj0djdByeffM8ug6N56uTaYtY4q+sGdfHuWlxfmebNToTfKvpLuhyCDIYN2ueLOUOw9QGg8FgcDbYZWr/+te/VhZ/1X68s/TNUjLsu/a+nDdbI7babH1gweQ4DPs4y41PrK9smWHx8ZsFhs1M89jd4qFq2x5Rz4ktZWeKVk32zJbBVgZql63qz0qM9NRmfR9++OHKWsv/t4Vn9g3yPJlZuDamU8jIsNKH98l1XFiFsCky2Fg7ZlIREXfv3j36DosdK55GiBWbcBYq1jCWNHGafD62ZWzELe2BgMnluenYEGzVwrZ5H386Ppfvo9dvxeIyMsuvrPdOjNrvqpwx6TYuZiN8VkyNMbiZr1sCZRbBtsQ/mUu2ZQ6yJ4Ix8r6BmbPOGDvHvH379uraUTLx9xwzzz3X6IxQM8Kttlyg89LldWBvkp/1ynvCWmesndg7GKY2GAwGg7PBSdmPgL/emQV1WXRmXVX2o/+yuzbGuosZXSU8yDEAMorcGmFL9cS+ZMCYbG3l87lZov3hlZVpPUIYYld3k9lr12p+Swexa3pqPb8qS22LAWZ89NFHq1haXgeOfznWWGkIWgGD/9ufX82x76V9/5yfGFhExOc+97mj48H2idNWa+mZZ5452hfrHYuTmCHnq9RoPCZAPCbff2esuUWHW57kfdkGJsi+WO6VTqkVehwP2WpTYsWKDldXV5tsu/MQeW1mltfptToubjaW/+13Bu8BnvVcc8Y6sicAJljVOPre+RlxLDI/+9xfxsB1kH1ZPbe+Hl+nFWXyeuyefzPryrNnj4szkfN6w0vCdW3VdUYMUxsMBoPBGWH+qA0Gg8HgbLDrfry4uFilhFaFv26ZYXdW5Uqwy8DbuiA0n8fUt5PYyueBtprqguwSscArx3MA1deQv+vcDd4u7++i0W4+K3eQA7N2N2wVUHaJF914q/8bDx482JQGs+wa7gVcMC5Iz9fmFix25VjmJ2LtbnTw3204ItZdinEtOrmgKh1wEgEBfIL8lUvWhcCWBbMrMWJxa3Zr0+6vvHZ8vyk8Z4yVW83ra0/YOl/jKQkHbO9nsHrGulTwaq13pUkOc1TJXz6+RQAsL5aPZxey30NZKIK09SwcHLGsJc5Xudf5zgkhrD9Lu0WsE54Yq0W5/X6PWCfnAbssc/jIz6s7fTMXWUiZ68GNPzJZg8FgMHhocBJT25KT6tJknfyRrYNOvslJABUTMHNxYkAl5eWxdoWflfgp1o5leGy5VYkwZmxbY+vkqpxGX7XJ4d9mZraks5XVjcUWcNW65dSU/ps3b66anVbBdz65DreiyWM0czYb2ZJrc+kA95ZAOoF9zp/B8RGDtYVbtWPC2sSKN5PGGs6WuovGCZK7IWNew4zf3gpLqlXPlZk/x7LYc54TJ4J0bafyM8G9rSz+Crdu3Vp5Lar15neTi68rq97z4XIDS23lbd1YtvMY5GvkPrgMqSps57dczJ/PvyX15zm1YEMlgOCEHdYQ9xsBhErY3eLxsDw3Uq7eq76uLfbF8Xg+adzbYZjaYDAYDM4Gu0ytYhWVBeZUXfvxq7R8M7Wqvbn/b5+8Lb/KErR1g0Vh6yqPsYsXmAXZ6svHs29+KwblmJAtdpc/VEKtLpS01brVONWskuup5LgqBlXh8vLyEJup2hb5XnI8fOhbjLD7zYytig1y/ylGxiq1KHZ1PrZBXohtq/vvliYwAMcFKwk5W65b8SWeOdLyGaPjMiDHGc1ese5hkZQu5MaSnM9FsFtiCn7WsiBzhWo+q2aTnTj6ljfEY+lS/PPacesVH6NKz/dY/FxWzYI5/rPPPhsRyz2EzVuSLI/dHg+ft4rh+tpd/M0cUIZS7evGqS6wr8bYPafVe4fn1R6QDsPUBoPBYHA22E9bit6qj9jObqyOEdFbnWYjldXqmJ2Lbm0N5+/MfszQMqMz63E7Bfuvs2XIcRx/6xrk5fHvFWq79XzE2i9uK5XxVIzH5+1ka/I2naxZBcctqviYx2mffL5Ws2C35CEGxe9V1h7fYY2auedxec44BhlsVbzSBeGwEuJUnLcqinfWK7AnIsfhOI5ZhJlaFcfy9XE9PlaOY1iGyzJwFYtyVh2xmg5b6y7vzzhdbM21Zsbn2FnH8kFmorB5rz+/y7JYNJ4A0DVUrhgo8/X5z38+ItbZiBaSyDBTsyxcnhPHtPye8z3O43Cmsee1yqeo2GLephJ94JzEe/MzXWGY2mAwGAzOBicxtUpE13A2mv96Z+vAf43NRrqMxog1g3EWX9Uep8uQ8/VUNTRYKo7L+fzZyiO24UaStrIrxgu6ua5EXqs2K/n7KibR1fU5tlZl9e1lPYJbt26t2p9U7M4sEZ8581RZ22ZqzDn/x0rO/nfXpXX3tKpxtEyRM/2qWhy2YSysJerhGHO2tt0GhTXk7LN8r7lmLGPOw7V73Vfr3PcFZuKGkxH7TX071h+xbgPV4f79+21roDwGx3cdc8owgzSDARaAjlgYIffBQuccI9cA+rljG3uT8jNmL5JnHB/gAAAasElEQVRrztyiqmpbZO+Im59WHiKOa3bv1ldmjHn8ZvmVKHqX+d7JZUWsm/rueYiGqQ0Gg8HgbLDL1B577LGVwkO2bMxUnL1SWYWuwbIVvxWf8194W4eOz+VtOA9V+z5GHqv90l1GY1W/YUbm7B1nCVVj7MRXHevI6Oq+TmFYXbZllXnq9igdHnvssRXzyGNw3ZRjalsiyMwhliUWJHNdtUxxVpYZVcVo2cbC1a4BynC9ju8LlnpVX0b8jZgRx+J6LXwdscTqnN3HHDheku9Bbq+St2XssJXMfBgTn86uNcvI53QbkQ4ff/zxYY4rlRuvvS4LMrN8zmnG2jGNPH4zc6+Dam67ePVWg2GPydfDeq9i647v+RnmGanE0Dmv2+WwrVVRItaskfNbFHtLOal7h1TvUzwb0yR0MBgMBg8N5o/aYDAYDM4GJyWKOE12qxjWLsTKtWeXDa4daKtdblspz/60LFMG44bu415A8iZ3EyZl2ynDdBcGyCZlNxdjef/99yNiSYEm4Ekha05Nhe6zDcWOHINxfOUrX4mIYxdCl7zg/1fdsoFTe6uEBN/3vYDt5eVl6z7Lx7N7luvBXVIJy/Ib88a1upA6u5/cFZ05xYVUSSu5DMDFqVUHX6f0d52Wq+eI68JFjhvS3ZizO9BuP7umnHBTCQP7mbQYc16r/BvXJOvKJTr5mWAMDmV0uLy8XL1vqnVQvV/yGPIce56cvu77lsdoFz7336GGSqzA6f7sw73OrlgndThRw27bfD6vyW6OcjKIwydO4XdoKK+Drpjd0n5VyUJ3/7dKxKr3WIVhaoPBYDA4G+wytaoIsrLeu2K6KtjvhAOn/TtNt2ptwb5YOwiA8v9soWHBkErN8WgFQofi9957r90Hy+JPf/rT0fm/+tWvHl1vxGJNYeVyDNJvuS5+z3PAJ9uyDQwNBlklT3SoyhyAGdpWt2wHd/eY2qOPPrpKIKosMOYaq9GWZh63k224D1iQTr7Ia9XyTuyDFWwLPqIXSHY7oUpizezKxbAWVo5Yd5zmei2ym8dlUXE/ey66rUok7PEwe82lEaxJvoMt2wrP18V63krTz3jkkUdWlnlVasG1OIGiWr9OTOoKfqv7AstyAhkMjfNXcwvrxvvC+iLxoUrptyCEn4WK5XM8txjiGFXnc8D4XZpgGSuer4j1u7breF6VZHUlRJw3Czozf/xGe6SXXnppdR0Rw9QGg8FgcEb4j5haJQlkn6st/ipOgdXpeFUnEZTjB1hGTs+2RE/VWBTLEquxi+3l63Hche+xHtgn+6nNRLFo2Jb/57nlO45DHA6ZHKeob7Xu6NribJVXVDGIvG/Ect/cQqPDE088cdjHPvp8bLMTF2Hngk8zNa4VC5JjUdxb+fM5L/FRCoItPJxh69axiMzUupYmjsdxfZZTiljWARYrnzCGLJPVpcezLb9XzWpZV55zX2+20F3czVqEscGA8/NkObOqODrj1q1bh/vFdVSCAy6PcSPMnHbuQvaubU3lIXAch/k388hrlRg9n8RHK/EF4JR3lwp0IswRy9xaJo2xucQob2vvgt/1Fh/I2zhW6JKcUxpE21vHM5nn4K9//evRPh2GqQ0Gg8HgbLDL1CrrqMpg46+nJWAqH3DXUNSN8LYKW/kkxoQlSbbglrQWlgSM7fXXXz8ac/6342OOW3A+/NkZWK7E6hizG0zma8dqx8K0BVPFK7CuuGZb2VXWqmMblq9xoXC+5q5FkHH//v2VjFC2TjsZIf5fta7AauM37j/MFrjgNGK5H9wr7r8/q7Yn3A9YiC3nqqUO1r0zJB3jyEW+/IZVjXXP2CqRZ8ci2Ra26uvN94B5JDb8hS984eh7jv3kk08e9mG8jkGa5eX1YWa9F1O7devWYf44btW0cys+mX+vwHvAzK3ySHmNMqcWF8jyX3gCfM9cQJ/fO85cduYi56mewa6JL2PkM4tJV2swYs3YnCGax8J7zXHf6v3g6/Kc+12WfwMjkzUYDAaDhwYnNQntGkhGrKVn3Oak8gHbX4zF5JbpVSNIjwVrgFbfMB1iXhGxsvgcu+MacoaXazpsKXM+zpMZja1RW4/IvGRr1ZmgnfRQxWI7iSDHn6r6pL0GhpUMT/d/4+LiYiWFVrWDdwaex1Sdx0Kv3A8YDszt7t27h31+85vfRMTir7f17azIvA3WKIzd8lyVYLflmDiWRZjznBDjsvXLPjDGfD62Zf3yPJElRjyuisMwFzQ9ham59oz5jVjmx2NyE8f83JL5x29+Jiq41vQ/kcmq5KY6JmavhVtF5WuxtBXeFovuRkQ888wzEbHcH3sg8Bzk+Cj3yPWWrm2rWutwXHvJ+ORdldkr33GtPAP2EFXsy/NlllnVCoPuXV95lfxO3GP5w9QGg8FgcDb4j2JqoPI125IBFbOw4oH97a4n2WJq9ldXWU9YJmZQro3IFjrjtmXG/13pX/m22cdzky0zYIvIMS7XImVrq2uJ7sypPI+2lH0+LM9K3Nf3p0OuNapagjg+BmAnzh7M12DGwnGZFyzdnFkIW6CNCvE47jvHzGsHZgZTwfrGYmaMX/ziF1fX/5e//OVojLAh7jGNNxlXPv6zzz57dJ4///nPR2PNc8I2jJsYrtk+++RYLpY5MTPuha1u5ipfD2Bbq1HkDDbuS9fKyXjw4MGK5ed3SNfqys92ftbMKH0ss4e8L6wUdsU9Y60+99xzEXEc22VsrEH2df5Blb3q7HGuj5rXKvbEeRzr9PrL88hxf/nLXx4db6+Bb3UdZlsVo3JMEGypSm21sqkwTG0wGAwGZ4OTmFqXeVOha3OS93EthllQlyGT97UlYdWG/LuzsRxbYKzZMuOcbknuFgyVSgPomp7aRxyxjtG47YZZa9VY0mPYauPeaeVZl7CqUzwV19fXh/nrdD3zub0tyGPw3HXta8CXvvSlw7+/8Y1vRMQSa3JMjXuAwkzeh/vx3e9+92jMZJJ961vfOuzDcX/yk58cjZFjMbevvfZaRBzH/Z5//vmIWJgf1r3jZvlekHHnjECsX89VniPORz0kTJB7AFPNbNreAsYIi3CsOl9zpcBS4d133z2w1Wp9mx2aqVXvKisUdc0z+b7KnHUMnRgkTC2DOeS8ZopbXrBKpzEfayu+5HeXlT/ys8/9ffnllyMi4o033jgau5+3PB5nRvr9Wqm6dONmffMs5PXhrOs9DFMbDAaDwdlg/qgNBoPB4Gywy+eur69XRXY5aIw7BCkYXDuWr6m6n1q0tUsYqVxWpuldB+7qfHbHVaLMTp3thFLZpwr2VuKzngvQpa+7UB1k96Ppv925HDu7kOwedoEm+5JwkY/vBIQON2/e3O1wm8dnl+iWm8aJLZ5TS1JFRPzwhz+MiMUN9Lvf/S4i1mUpOVHkhRdeiIh1uxrLtFUdvb/2ta8djZXnhrl48cUXI2Jx20UswXzcgBwLV1zlQmLcuIY61x5jx2UWsRRdc5+diIOrMifceO13brUsSGDX516w/+9///vBdWy3ah7DrmRSITRut5yT2fg+vw9IrqG0h7Ic7kv1HuA79nFClEWk8/58ct5OdLkKKbgI2t3Gc0Ic82dRi04wIK87js+Y/I7i/zm5xM+t38n8/ajc3S5D6jBMbTAYDAZng12mdnV1dWiEmaVyAFaAG8Y55bSyHvnO7TVc+JetLRdk29qp2qyYWVg+pkog2WtIt1f8mWHLoip/MAPs2m5UBY1dM8qtti9mkcy9kwwqaa0q1b7CxcXFihHmJAVfi+egKjAFXQNEW3P5mmk19P3vfz8ilvRr2gnduXMnIpaU/4hFRDV7JyIWS5209dwqA0uYZwMJN1ijg+Wws4iF9VgMG9bDMZFni1iseebzD3/4w9GYYGGwitu3bx/25Zm2LJyZVba2XeaCdc/1cAySK/Lxu6akxj/+8Y8VS8lryWvD5TNeHxls6zYyPnZOirAnhhIPzmfB5gzPh5+9nJBCgoY9RcAenao0wglX9kDkd5qFJ3I7rIh1+VXVYsmMzXKElTCBxY9Z305uysedlP7BYDAYPHTYZWq3b98++LaxnBDqjFgsFn4jxdnWVbbKnSZvn6zb2VRtZLrygkoex2UG3scFjvk7Mw1bCbZStvZ1YWMlHdaJkfpaKkvGDNAxj0rkmfvithVbVtGp8YyPP/54dY+rfbpmjf49wynGjsO6WD1iuX5Y19e//vWIWFL4+XznnXcO+/z0pz+NiHUsgBTo3//+9xGxxAIiFvbDPsTOaPTqtPO8TrCYuS88TxRy8+xRuB2xtur5P+OAVfKs5hie2bbvgUUIItYlF2zDdVFikLdzjGbP2v7oo48Oc8p9qRoWe+10cez8XSfm7dZDuUjd68xsyCUx+Tv2ZVv2Zds8T7A59rGYs5uhVuVOeAQsueVWXxFrmSpipzCnrk1PPh/zalHkCn432gPl5yyjEg+vMExtMBgMBmeDXab28ssvHywvrMZcnIo1QNGc5ZDctC+ibkWet3GGV9Xu3L7srcI8s50uey+PsZOL6TL1MgvqMhY7BpeP1zUu3DqG44hds8MqJtEVOleWtC2lvbjI1dXVKrO02sfxMNZOFZ8wI4MBOLZQCWk7LoKVSkwLJpOzA8lcs7A1RbjIWuUsUZgSz83Pf/7ziIj47W9/GxHrGFSGZaSquEu+/rytpduI5fF/Yn05PuaGjl6HjDU/B/Z4WCAYtpGfO49xz9q+vr4+sFFiofleWkKrYi4ew14jXNYHc52ZGsehSN3xODcgzfvYU+T3USWxZ1bl91ElOG62aoFjULVJ4t6xVngvOCu6KqQGfm9XrJzfmD9nceJdyBmaFuqemNpgMBgMHhrsMrV79+4dfNtYTNkqRWjVNR/AUlgR69qvzrri+2xp2KI0c6uyniy46YxMy+fkbRwzczzJtXUZXePNyu/fZVM6c7GSnvGcdC1csrXP8chsJZtuK57la99javfu3Vtlu+V9qvrAfE7HTSLWzMzZb12dXz6OM2VBFae16DUxB7aB3eWMQo7/1ltvRcQy73za+q0asXbWfcXynV3n5qRYuFXbF69rjg9Dw2LOa7WLTcFeydDMz+2p7B7cuHHj4BlCPJj3T8S6MaqZRBWPdx2f302OpWUvBu887ncXx87vOc7nuJEbsGZwj4hp+XnkXrrVV7Ut8Ps0b+d7ydi474yjagnjpsR+N1Xvd7+f+T9xX+Ld+bq4Zj732hYNUxsMBoPB2WCXqb311lsHKwV/Z66RgakB++j5i5utUbe7t+XvtjIVC+piXpVganccM5wqg9G+X+D25tkC9XVUiigeoxknv3k+K1Qxs3xMt6DJxyWzlRom2AUWWtXuo5qvCvfu3VtlelYtiMxczbrz2rF6BVab9+X68jXbird1CtPIViLbwLLc2Ja4GbG1iEXclvVNbKgTya6Efx0X4VjUnuUasE5JhPnjGLCAKmPOsQ32cbwsjy0rr0QsmZlV41SzhK31zHbMBZmfeBXyuH387r2Q4fcP12aGlrP5ODffcXy2tSB5Pi5jg/2Yfef75obGPoafDQusV9fetefKxzW7Ykx4Jpibah3Yw2EPWLXeQMe+8nauW57sx8FgMBg8NJg/aoPBYDA4G5wkk4VrBdr+t7/97fA7XXYJoLozdCVq6cClExvyuY0u7d9ujez6gKJ3yR5VEgP7QIvtUuw67+YxnCLwCaD3dp95bFUX4E5Sy/Oa5xe3gt1c9AWjr1LuXuz7c0rxtUWWK/ejywsYS1UA3iWXEGDGbWqh1oh1N2+vUQe8IxaXkeefseIG/PGPf3zY5/XXX4+IxT3HeXFRcUwkibL7iW2c3IOLkt+r4mInPOEqc5fw/GzYFWs3ZNWd2e4l5iKLMuRj+ZwRfVkPuL6+PoyNcEdei5QVkZTiBIQq5ODELT+nTgrLsoAkMriUwPvm94DLTvy+sSh2xDpByGGALVEEl01YQtDvluqanfjme53dqxYrd3JOlaxjdyfXvpX8YffjHoapDQaDweBssPun7xOf+MTBCiZInWWECK5jOfkvftWRuCocjFhLa7mVQsQ6WcFWVxXY7tpdWCKmCmja6jml/YEtFKdjVwFUj9Gpz7ZAq9Ra4IJ3LPU831jxsAXuIwFqZKB+/etfH/YhxXqriDwjM7Uqjb5jylutemAqlv5y2roTbvK+Tv6opMd87o6xWd4nH9fslLHCbKp16ePyaXHajK4tCXMBW60Ewm2JM49OiKjmhOsiWQZGWp1na447uKSDJKaIpQjaz7Sf2yrRqSsp8r3OcmIwCSeGuDyoKj+xZ8AMrmKTjJGx+BmvRJ4ttuB3YZVQZs8X18ecuEQrJwdZAMMsv2KVni+zL3vG8rZ+9joMUxsMBoPB2WCXqT311FOrtHziaBm2+E5Jx3equdOlQVWc6vjAVhG0RTltQdhaqcbaSexUTRudns/5O6mbPDZgK5//V/E6s1bOi7VdtdjgmmFq3GPiF1j3P/jBDw77/OhHP4qIhbE5pdv48MMPD+tii6nZr4+1WIkSmzED1giWngVg83iJ/bjdillS3sf3sIsf5G26EgjHGStx6q6QfqtMxGzBMkmVh4Bt2Ic141KJDLatBM7z+SpWVokHdPC6pg1QPiex4T12nMfjtHinzVexzo4lmB1lZuM4H8+UmVOG2ZRjT36Otpp2ujkwz0LVTgo4pufPDMe+u9KsygPGXLhMbKtl0JbUXsYwtcFgMBicDXaZ2qc//emVhZnbXiD+ap/zllQKFpAziezzBtmq6xiLGxRmi8n7YA1g3VXCn13GkOXAtoqKQRd72rI4bCHBFKoW8GaesAtbzDnDiDnBeiN+QLYVn4jiRkS88sorERHxs5/97OgYHf7973+3haDVNdq6rgrp7V8HXaPCKrMMK9EiwRV7cLsQy6NZDDePoZMrc4y1iqk5y7FiHsCxDMtjmVXm+XRcx00anY2Zx8AaIR4Lqmfe1141t+xQzRMtf7797W8fnbOLI2Xwm+WqzFqr907Xvopj5Gxb5s5xIo8pexO6GL4/t4rM7bHxmPM8OvfB5zdzrN47zu70teTvmQPEHmDarKEq9mrR9d3mxJu/DgaDwWDwX4Rdpnbz5s1DFhXWaLY0PvvZz0bEmplZ3qmSPekkoDphTMaTx2KpmaoBZ9dKvhIhBZ1AaufTrqy6LtOr+t0MrMtKqmJ4WEowNMcO7dOPWOJitFLBt/30009HRMSdO3ciYrHGIxbW9uUvfzkillq2Djdu3Dgcv4rrddY097iKv9ja7FqnuLliPl7XHNIiuRHrLDf2cWuYquGrrduuGW4G63ov5lRlMJqpOauPuSJmlPdh7dgDUWXbMkayHu0dqWpFt2KQFa6vr1fzmJ8X1ifeA7M5zpOtfGfl2Qvje10J/1bya/nYVf2oaw63Guc6JtjF+6uWXo5fA6/rKv7ve9Z5mzKrtOejkuzyGFlneQ3m7yuJte657TBMbTAYDAZng12mdnl5ufIfZ6FP/sJ2LR+cecMxI9ZZjqgzOBaw5cd1JqVbGkSs2Zz9+VXzPlf9O/7ifStRUlujjLFqk+LYhRkn+1pwNGK5H7aCzZLz+d5+++2IWIRaYWp8UhOUM9uomSGOajFr44knnjiozzBPee47NuJGglXNyl6WVqW8wfGsMAMbZWxVzIlMP88l22ZG4Ptu5gSqjFBnN9q74HWf97H4tmNtxC86izqfj/VeZczxm9UuuvVXHf8URRFvU2Xv0o7mzTffjIhlTiu1Dj+XXcsmx9Yi1nPq2qxqrfq9wqfb+eQ1yjrqFFi6uGz+ze8Ie26qxqn2Jph9VzE11yS7pU/lneHa+bthFSE8O9W7oatjNYapDQaDweBsMH/UBoPBYHA2OEkh0jQzp3nbpeJOtJXsid0ALhLcSl8Gdg+aRlddpR30dqC2co25qLtLl60ofSc+WwXfnZjSiSLjQspuFdxJp3R/Brh6EYRlrMwBKf65dx5j4bfPfOYzq+NmfOpTnzp0TcetkF3Xvv92TTGm7C5z8ohdH+4/ltcQ18w14gpx0gdjjVhcbS4lsCu76hDuVGSPvZK+crlLJ2Sbr8sJIk4MYc4tpByxzHEnglsJ9TpBxM+GxQcyXJje4fLycuU+rYQV6PVIYhDu8qqsYK90yKUQ1Tukc7VWST9OaLAwQPXu8P1ljhlTJ+QQsXaJOjGkKqR2uMhubsB7Iq+7Tkze6yCLGSCn6HXNe+21116LiIjnn3/+sI/HvZdkNExtMBgMBmeDk1rPuLNuFWi2eK/TiTOzMKty+xOXDmSLydaaz1cFbG0ZOThpizofz6m8LjOoUuwtneMiXL6vkk/MUhkj1jafVQFilViTx5OTdbCesMCYA+aT89y9e3e1D2Oka3aHT37ykwdWgLRavmZ3snUguBKaZlzu5tsV8+ZkJI5jeTZb6HluXc7Sdc/ODJQ5hPE5CYhjuaA+f2emttV6xNa1SzgQJOezSrVnjB4zc0SiTMTChlxIfUrbF7CXKPK9732vfC59PD5ffPHFiIj4xS9+cbRdXhducWQGY8a7lTru911V2uP3QDcHWwXilN7gHetEJ/K5LRFnKcGKJTsxifcO3g2LcEes30F+Jrje7NGhRZk9U04gwcMTsbT9qUQyKgxTGwwGg8HZYJep3b9/f2UVZOu3a8XCX9PKOsD6NTtweUDlp+4EUf19/mvepRE7tpeZjGN1TqnfYmqdBebvt0SJmQsYALGDqqWGCydtdXG/YGURC2NCnsaxlKqQ0zFCYmvEWIxHH330YKV98MEHEXEcr2JcTqXfspDN3hgLTMJx2bwOzAyrWKr3cYzO69rlB9W2Tr/2OqjisV6bnaByHr8Fezk/a4fPqrzGYzRjy6UdzLUt8q0WQl1Rb4cct+faKykyxkBMBsZGo9b83rGgsO+h70/2SLllCmPxO6Vau1xzHn/eNt//Lu5ftY3J15C34d3hOPmWV8nzaVbLMfKzwrNh0Qf/vcjNVs1aLbRAudCvfvWrwz7MeSU0XWGY2mAwGAzOBje2rOJXX311W49kMPhffPOb3zwywWftDE7FrJ3B/xVeOxE7f9QGg8FgMPhvwrgfB4PBYHA2mD9qg8FgMDgbzB+1wWAwGJwN5o/aYDAYDM4G80dtMBgMBmeD/wENdDqa50PkFAAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_gallery(title, images, n_col=n_col, n_row=n_row):\n", " plt.figure(figsize=(2. * n_col, 2.26 * n_row))\n", " plt.suptitle(title, size=16)\n", " for i, comp in enumerate(images):\n", " plt.subplot(n_row, n_col, i + 1)\n", " vmax = max(comp.max(), -comp.min())\n", " plt.imshow(comp.reshape(image_shape), cmap=plt.cm.gray,\n", " interpolation='nearest',\n", " vmin=-vmax, vmax=vmax)\n", " plt.xticks(())\n", " plt.yticks(())\n", " plt.subplots_adjust(0.01, 0.05, 0.99, 0.93, 0.04, 0.)\n", "\n", "\n", "# #############################################################################\n", "# List of the different estimators, whether to center and transpose the\n", "# problem, and whether the transformer uses the clustering API.\n", "estimators = [\n", " ('Eigenfaces - PCA using randomized SVD',\n", " decomposition.PCA(n_components=n_components, svd_solver='randomized',\n", " whiten=True),\n", " True)]\n", "# #############################################################################\n", "# Plot a sample of the input data\n", "\n", "plot_gallery(\"First centered Olivetti faces\", faces_centered[:n_components])\n", "\n", "# #############################################################################\n", "# Do the estimation and plot it\n", "\n", "for name, estimator, center in estimators:\n", " print(\"Extracting the top %d %s...\" % (n_components, name))\n", " data = faces\n", " if center:\n", " data = faces_centered\n", " estimator.fit(data)\n", "\n", " if hasattr(estimator, 'cluster_centers_'):\n", " components_ = estimator.cluster_centers_\n", " else:\n", " components_ = estimator.components_\n", " plot_gallery(name,\n", " components_[:n_components])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Applied PCA: Shape Tensor\n", "\n", "## How do these statistical analyses help us?\n", "Going back to a single cell, we have the a distribution of $x$ and $y$ values.\n", "- are not however completely independent\n", "- greatest variance does not normally lie in either x nor y alone. \n", "\n", "A principal component analysis of the voxel positions, will calculate two new principal components (the components themselves are the relationships between the input variables and the scores are the final values.)\n", "- An optimal rotation of the coordinate system" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We start off by calculating the covariance matrix from the list of $x$, $y$, and $z$ points that make up our object of interest.\n", "\n", "$$ COV(I_{id}) = \\frac{1}{N} \\sum_{\\forall\\vec{v}\\in I_{id}} \\begin{bmatrix}\n", "\\vec{v}_x\\vec{v}_x & \\vec{v}_x\\vec{v}_y & \\vec{v}_x\\vec{v}_z\\\\\n", "\\vec{v}_y\\vec{v}_x & \\vec{v}_y\\vec{v}_y & \\vec{v}_y\\vec{v}_z\\\\\n", "\\vec{v}_z\\vec{v}_x & \\vec{v}_z\\vec{v}_y & \\vec{v}_z\\vec{v}_z\n", "\\end{bmatrix} $$\n", "\n", "We then take the eigentransform of this array to obtain the eigenvectors (principal components, $\\vec{\\Lambda}_{1\\cdots 3}$) and eigenvalues (scores, $\\lambda_{1\\cdots 3}$)\n", "\n", "$$ COV(I_{id}) \\longrightarrow \\underbrace{\\begin{bmatrix}\n", "\\vec{\\Lambda}_{1x} & \\vec{\\Lambda}_{1y} & \\vec{\\Lambda}_{1z} \\\\\n", "\\vec{\\Lambda}_{2x} & \\vec{\\Lambda}_{2y} & \\vec{\\Lambda}_{2z} \\\\\n", "\\vec{\\Lambda}_{3x} & \\vec{\\Lambda}_{3y} & \\vec{\\Lambda}_{3z} \n", "\\end{bmatrix}}_{\\textrm{Eigenvectors}} * \\underbrace{\\begin{bmatrix} \n", "\\lambda_1 & 0 & 0 \\\\ \n", "0 & \\lambda_2 & 0 \\\\\n", "0 & 0 & \\lambda_3\n", "\\end{bmatrix}}_{\\textrm{Eigenvalues}} * \\underbrace{\\begin{bmatrix}\n", "\\vec{\\Lambda}_{1x} & \\vec{\\Lambda}_{1y} & \\vec{\\Lambda}_{1z} \\\\\n", "\\vec{\\Lambda}_{2x} & \\vec{\\Lambda}_{2y} & \\vec{\\Lambda}_{2z} \\\\\n", "\\vec{\\Lambda}_{3x} & \\vec{\\Lambda}_{3y} & \\vec{\\Lambda}_{3z} \n", "\\end{bmatrix}^{T}}_{\\textrm{Eigenvectors}} $$\n", "The principal components tell us about the orientation of the object and the scores tell us about the corresponding magnitude (or length) in that direction." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "format": "column", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from IPython.display import Markdown\n", "from skimage.io import imread\n", "from skimage.morphology import label\n", "import seaborn as sns\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "seg_img = imread('ext-figures/aachen_label.png') == 26\n", "seg_img = seg_img[::4, ::4]\n", "seg_img = seg_img[110:130:2, 378:420:3] > 0\n", "seg_img = np.pad(seg_img, 3, mode='constant')\n", "seg_img[0, 0] = 0\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "ax1.matshow(seg_img,\n", " cmap='bone_r')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "x_coord, y_coord = np.where(seg_img > 0)\n", "xy_pts = np.stack([x_coord, y_coord], 1)\n", "shape_pca = PCA()\n", "shape_pca.fit(xy_pts)\n", "pca_xy_vals = shape_pca.transform(xy_pts)\n", "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "ax1.plot(pca_xy_vals[:, 0], pca_xy_vals[:, 1], 'rs', markersize=10)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, (ax1) = plt.subplots(1, 1,\n", " figsize=(7, 7),\n", " dpi=150)\n", "\n", "\n", "ax1.plot(xy_pts[:, 0]-np.mean(xy_pts[:, 0]),\n", " xy_pts[:, 1]-np.mean(xy_pts[:, 1]), 'rs', label='Points')\n", "ax1.plot([0, shape_pca.explained_variance_[0]/2*shape_pca.components_[0, 0]],\n", " [0, shape_pca.explained_variance_[0]/2*shape_pca.components_[0, 1]], 'b-',\n", " label='PCA1'\n", " )\n", "ax1.plot([0, shape_pca.explained_variance_[1]/2*shape_pca.components_[1, 0]],\n", " [0, shape_pca.explained_variance_[1]/2*shape_pca.components_[1, 1]], 'g-',\n", " label='PCA2'\n", " )\n", "ax1.legend()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Principal Component Analysis: Take home message\n", "\n", "- We calculate the statistical distribution individually for $x$, $y$, and $z$ and the 'correlations' between them.\n", "- From these values we can estimate the orientation in the direction of largest variance\n", "- We can also estimate magnitude\n", "- These functions are implemented as ```princomp``` or ```pca``` in various languages and scale well to very large datasets." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Principal Component Analysis: Elliptical Model\n", "\n", "\n", "While the eigenvalues and eigenvectors are in their own right useful\n", "- Not obvious how to visually represent these tensor objects\n", "- Ellipsoidal (Ellipse in 2D) representation alleviates this issue\n", "\n", "### Ellipsoidal Representation\n", "1. Center of Volume is calculated normally\n", "1. Eigenvectors represent the unit vectors for the semiaxes of the ellipsoid\n", "1. $\\sqrt{\\text{Eigenvalues}}$ is proportional to the length of the semiaxis ($\\mathcal{l}=\\sqrt{5\\lambda_i}$), derivation similar to moment of inertia tensor for ellipsoids.\n", "\n", "***" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Meshing\n", "\n", "\n", "Constructing a mesh for an image provides very different information than the image data itself. Most crucially this comes when looking at physical processes like deformation.\n", "\n", "While the images are helpful for visualizing we rarely have models for quantifying how difficult it is to turn a pixel __off__\n", "\n", "If the image is turned into a mesh we now have a list of vertices and edges. For these vertices and edges we can define forces. For example when looking at stress-strain relationships in mechanics using Hooke's Model \n", "$$ \\vec{F}=k (\\vec{x}_0-\\vec{x}) $$ \n", "the force needed to stretch one of these edges is proportional to how far it is stretched. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Meshing\n", "\n", "\n", "Since we uses voxels to image and identify the volume we can use the voxels themselves as an approimation for the surface of the structure. \n", "- Each 'exposed' face of a voxel belongs to the surface\n", "\n", "From this we can create a mesh by \n", "\n", "- adding each exposed voxel face to a list of surface squares. \n", "- adding connectivity information for the different squares (shared edges and vertices)\n", "\n", "A wide variety of methods of which we will only graze the surface (http://en.wikipedia.org/wiki/Image-based_meshing)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Marching Cubes\n", "\n", "### Why\n", "Voxels are very poor approximations for the surface and are very rough (they are either normal to the x, y, or z axis and nothing between). Because of their inherently orthogonal surface normals, any analysis which utilizes the surface normal to calculate another value (growth, curvature, etc) is going to be very inaccurate at best and very wrong at worst.\n", "\n", "### [How](https://en.wikipedia.org/wiki/Marching_cubes)\n", "The image is processed one voxel at a time and the neighborhood (not quite the same is the morphological definition) is checked at every voxel. From this configuration of values, faces are added to the mesh to incorporate the most simple surface which would explain the values. \n", "\n", "[Marching tetrahedra](http://en.wikipedia.org/wiki/Marching_tetrahedra) is for some applications a better suited approach" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Next Time on QBI\n", "\n", "\n", "So while bounding box and ellipse-based models are useful for many object and cells, they do a very poor job with other samples\n", "\n", "\n", "***\n", "\n", "### Why\n", "- We assume an entity consists of connected pixels (wrong)\n", "- We assume the objects are well modeled by an ellipse (also wrong)\n", "\n", "### What to do?\n", "\n", "- Is it 3 connected objects which should all be analzed seperately?\n", "- If we could __divide it__, we could then analyze each spart as an ellipse\n", "- Is it one network of objects and we want to know about the constrictions?\n", "- Is it a cell or organelle with docking sites for cell?\n", "- Neither extents nor anisotropy are very meaningful, we need a __more specific metric__ which can characterize" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.6.7" }, "livereveal": { "autolaunch": true, "scroll": true }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "321px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }