{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Seeing is Believing \n", "> 'Converting Audio Data into Images'\n", "\n", "- author: Tony Chen, Dmytro Karabash, Hyeongchan Kim, Maxim Korotkov, \n", "- categories: [python, data science, neural networks]\n", "- image: images/realnew3d.png\n", "- permalink: /audio2images/\n", "- hide: false" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Close your eyes and listen to the sound around you. No matter whether you are in a crowded office, cozy home, or open space of nature, you can distinguish the environment with sound around you. One of the five major senses of humans is hearing, so audio plays a significant role in our life. Therefore, being able to organize and exploit values in audio data with deep learning is a crucial process for AI to understand our world. An important task in sound processing is enabling computers to distinguish one sound from another. This capability enables computers to do things ranging from detecting metal wearing in power plants to monitoring and optimizing fuel efficiency of cars. In this post, we will use bird sound identification as an example. We will detect locations of bird calls in recordings produced in natural settings and classify species. By converting audio data to image data and applying computer vision models, we acquired a silver medal (top 2%) in Kaggle Cornell Birdcall Identification challenge. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Treating Audios as Images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When a doctor diagnoses heart problems, he can either directly listen to the patient’s heartbeat or look at the ECG, a diagram that describes the heartbeat, of the patient. The former usually takes longer - it takes time for the doctor to listen - and harder - memorizing what you heard can be hard. In contrast, visual perceptions of ECG allows a doctor to absorb spatial information instantly and accelerates the tasks. \n", "\n", "The same rationales apply to our sound detection tasks. Here are four audio clips and corresponding spectrograms of four bird species. Even human eyes can see the differences between species instantly based on color and shapes.\n", "\n", "![.](img-tony/4-bird-spectrogram.png)\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import IPython.display as ipd\n", "ipd.Audio('img-tony/amered.wav')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio('img-tony/cangoo.wav')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio('img-tony/haiwoo.wav')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio('img-tony/pingro.wav')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Going over the audio waves through time takes more computational resources, and we can acquire more information from the 2-dimensional data of images than 1-dimensional waves. In addition, the recent rapid development of computer visions, especially with the help of Convolutional Neural Network (CNNs), can significantly benefit our approach if treating audios as images as we (along with pretty much everyone) did in the competition. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Understanding Spectrogram" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The specific image representation that we use is called a spectrogram: a visual representation of the spectrum of frequencies of a signal as it varies with time. \n", "\n", "Sounds can be represented in the forms of waves, and waves have two important properties: frequency and amplitude as illustrated in the picture below. The frequency determines how the audio sounds like, and amplitude determines how loud the sound is.\n", "\n", "![img-tony/wave.png](img-tony/wave.png)\n", "\n", "In a spectrogram of an audio clip, the horizontal direction represents time, and the vertical direction represents different frequencies. Finally, the amplitude of sounds of a particular frequency exists at a particular point of time is represented by the color of the point, resulting from the corresponding x-y coordinates. \n", "\n", "![img-tony/spectrogramex1.png](img-tony/spectrogramex1.png)\n", "\n", "To more intuitively see how frequencies are embodied in spectrograms, here’s a 3D visualization, which demonstrates the amplitude with an extra dimension. Again, the x-axis is time, and y-axis is the value of frequencies. The z-axis is the amplitude of sounds of the frequency of y-coordinate at the moment of the x-coordinate. As the z-value increases, the color changes from blue to red, which results in the color we saw in the previous example of a 2D spectrogram.\n", "\n", "![img-tony/realnew3d.png](img-tony/realnew3d.png)\n", "\n", "Spectrograms are helpful because they extract exactly the information we need: frequencies, the features that shape the form of sound we hear. Different bird species, or actually all objects that produce sound, have their own unique frequency range so that their sounds appear to be different for our ears. Our model will simply need to master distinguishing between frequencies to achieve ideal classification results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mel Scale and Mel Scale Spectrogram" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, human ears do not perceive differences in all frequency ranges equally. As frequencies increase, it is more difficult for us to distinguish between different frequencies. In order to better emulate human ear behaviors with deep learning models, we measure frequencies in mel scale. In the mel scale, any equal distance between frequencies sound equally different for human ears. mel scale converts frequency from in Hertz (f) to in mel (m) with the following equation:\n", "\n", "\"m_=_2595_times_l.jpg\"\n", "\n", "\n", "A mel scale spectrogram is simply a spectrogram with frequencies measured in mel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How do We Use Spectrogram?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To create a mel spectrogram from audio waves, we will employ librosa library." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "import librosa\n", "import numpy as np\n", "y, sr = librosa.load('img-tony/amered.wav', sr=32000, mono=True)\n", "melspec = librosa.feature.melspectrogram(y, sr=sr, n_mels = 128)\n", "melspec = librosa.power_to_db(melspec).astype(np.float32)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Where y denotes the raw wave data, sr denotes sample rate of the audio sample, and n_mels decides the number of mel bands in the generated spectrogram. When using melspectrogram method, you can also set f_min and f_max method You can also set Then, we can convert mel spectrogram that express amplitude in amplitude squared scale to decibel scale with the power_to_db method.\n", "\n", "To visualize the generated spectrogram, run" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wqVAgQIutGftkY+EF+iwklNsWfmg9cB3PRJHPsq/sZoHaYuWKM2zb+Tmk3+dEKp4gjmtnEIuqLaDTwugdNGJQRl8XkFAf5H3KiJyhrin0vYyeYypzaDq9byiFxjk2wfO9kzGuPu5f866+ZO0Ch2I36aD9DJU5hNa1XMXA3TDyPT7heb7l0hvLJhWtYfN5Ic8orXjQTBTbJHcpzZuELf723oIxTjpxELxhy04M6hkNfrPNroatCo13tM6YJo1zNHWoRzWWRgH2aZwXmY0PdN7gkVMueJV5Y0jljBcXwGNheHTCe2vonPIwCq9PtlEDbPueUQtXwSCfsRRu244XLTMMcUxwFSGr43E4b6pJDTLJKnTR1UUa1sGYQwXlVAzOme6tbfr2PRnhkJNdS0l4sQ341SrOzBetG+UpZ9beHq21izTO8XIVyAofHUY677hqbK5kVaI47vKJU3FchYZTvd7rGBkzvM57XspmntqnbDBXZIIpM6qWo5B6rTkbBOOfLMCVBMOQYT8qmyjcD7aRXARbtOzeKlmnpRSiwAhIhbeiUw7JFl+Jlck0w4CGz7fe7sNY4avHwe7tVWPf09b8w7TR75POsJer/2cbjb1+EQyemd8jVEy/zkEUX2yhPWY7v4mh1Hhh5YXraDmV+8HyHtMC7uS8eQUH973WHA7zHO2zLbKnrLw5QRdg5ZmhaS+2QI/FztuLMcsKsA7nc37KNps2p6z2ns7b5/sKt6Un+abRGTurcdPmNH2PQVTTsYYyObiw9jpvYlrPxeaPzptrJ/Ydn/SBoSyqs4sttthii/0O7SsbWYhQk4kTB1s5lITDErcAo+a54rGp3vchJwbNDDW8P5SEr6wpqfABWGLZi+PGNQy5WBK6WPQiFSZ4Zx3JRXnTJ7IqP3nj+Me7rn7+m/yNt8p/+uGfpWvexbnAVfs+v0//EAc58rF8l3X+KathKCcuuOAmtOZlVB76Zoa0hEPOpDx5d46LaJHFIcNVtNt81Vit96jGxLjrLYGai3IRPZvoKozhuXHeoJJskESunPEmOE7ZopoXnUcEHoZy5tJLO8Nu7gknvatesIh5+lOidxpPrffp998EfvrqxDE7/urrwP9w/B95OP4duuY534r/BB0d/1f+P/j+/V/i+eU/yPrhn+JxFbioueHOC5uggHLy8L29wXatn6rclT4Xdilx00Q2wRLuqShr71nV6zumTFN9qaGUOSITEToXuIg29n224yX99DH2Y6FzYY5SHvoykxXIFuH09bhehJUEovg54nJi93QshWtnTCpgno+dM3jQIfTZag5ysXPIpZ4rlljO5VwbPRbzJKfkrRehcYqrHmrjlJWvSfF6nM4rKdn7N0E5ZjvuBBt1XhnLufbgmM5RXHDQqPC8O3/GVSymz+fk9uQxw7nO4Zi1eu7mMU/3Njq7jr5elK9MJC/K3WAsoqtoSfHdaPUmP3bpeRYLv7H3/Jd332Zf3nAYP6ljcuRn2n+Bd1etsb5QmiJcBIPwLqNFVadszK+mNU/+CTrGUK9/Eyx5fCVu/vs+6ezZt9U91wqjXgShLzqzq6brCU4IYpHOKVtEd8yWkn7eWlTkpczJeRs3GxeLbuye5oosjUw1IgY5ZgUtcNHYff+kd7zpPz92+MpuFtEJz1vPXV9AhAsvXKrncTgzTCbWDlAZSJZ7aNVzKolR4aQDjUQiZ/ZU5x2dN/hqyIVdGblwcc4rnEqmi4EosM/KPid+5GLFP/P1t9xeWMHaRw8XvGwu+Iee/7t87+DmB+CjY+F+aHlVrnlnFVkF4VV3TVfvVJ/hmPSM0ReDgY450blA4x37lGbmC1jRDZxxeLCHry/Fchoob/qBVKJtGCjbUWeWUecFH9y8eeRi/MDXJxvL6ThgNL5JmmKoODBYCG3YuJJKITjBI+xKsjDeOaITfs9F4ief35GL4OQZP9P/MV73jlMRPj4qb/rMVfojfOMbPzMzUp6aq0VMu2QP8/PO4ChjrBXGYvfvMkbLb6RScweGT/taeNU4N8OLQxGuG2PHPY729B3rhjjUn6vgiFG46xN9sXzDKriaX5IKT50Ly25bT1HPbizz5jpt/gWPquW61t5yK1ORWxR3LkZTo/m2YvewcY7WG4Rq8I4t/gWDWKywzhbnaRGOTtmO9traK8+aROuUj/o4Y+GKQRrHLNwPtrh50Uqh1ZobO0NC0cHDAI+jjbuXiclj32cbwxm68XVRnOb0blSj5IqdtxM7v31SVnVjEQyjn+73KWvd/GwjTAp9gsch8yOXkR/dDLxse9Zhxb+z/hZvBsfPv7Hn4sNhx6uu5SeuhZtouZekNv9FLFfzpjdYaspXdN42t+04MbSksgUrpTjaxjrBVLvK9Ap1Pb6MNrL7ZNeS6rOxqjtGX/NKOZ+v75hsjSpqRXvX0eBDgeoUG4z1ss38+OUOEXhzsnVqlzxDcRyC41ULrVMekiNWJ2GX5FN06c+yLxWGEpF/U0R+SUR+UUT+CxHpRORfE5G/LSIqIi+evPdWRP47EfmbIvJXReSn6+vfEJH/RUR+uR7rX/8yz3mxxRZbbLG/1760yEJE3gf+FPAtVT2KyH8F/IvAXwb+e+B//W0f+dPAX1fVf05EfhL4j4E/CiTg31LVnxeRS+Cvicj/pKq//EXn0Hh4Z+0YauJn5RyNk9kLmcrnJxtrgtW8pcipZC6lI1due+MscdV5K9E/pkKrsFL3JGEr3IZoXHyMs/28aYgCL292XL5jYn/OKWNxvBgjz2JEEXbJcdMIWSN3w9lbMe9e2SXzYq4agy5S5c8ba6QhqxXe3DQNpXrNNg52la2HsZj3C2eJhMk20XHdCG9OkJ/UAYxFKU8SpaMWSjmzhaI4QmWAPQx5rmnYBD/LSlji3zzEY1LWVZKhEFnVYrlTLnzrZsfX/sAeccLlr/R89/U1b04tWYWPTg0fnjyHHGbGh+OcKAVjPJl0hFZuun3nUCYoQBlViSKVfKAzO85hBIchG1w01BB+isgmUkEUN0cUoxY2wR6jD089uda3tMHNEd1KPOvgCU64H6w+Z509myhcO0/pIVd2nXcG1/TZoq/maYYaZvjJpCGyzUVxPI5WS7MbhU1wM2zhKkTTZ2bPd/L2194SvpswebXVU5+KuaaEeBEOWTgk87gtsarskvK8oZID7DxTqTUBTmkrn/+QDHqa50IGKpFkKMplNCjs3i6B29aYPEZCmAoFz/UGpbKrwCKPZy31eZbKnKPWmSg3TcM//d4jf/BnPsJ1jsdfwepskuOPP5jI3vbU8qY/8Th6Vr4g2Bi8HQLH7LiNhZW35y2psaPs3tfkv/KphPmxRgWnLBU+g+tmWmMqwUSNRHDK59qVCQo8JnsuL54U8EUH687uAdi9W/nC2pcaXQnPGngYPU7g2fpICAUvNk8vU2A7RprkaZ0yqjDqFGHqTN75PPuyE9wBWIlIANbA91X1F1T173zGe78F/M8AqvqrwA+LyDuq+oGq/nx9fQv8CvD+l3zeiy222GKLPbEvLbJQ1e+JyL8PfAc4An9RVf/i53zkbwD/PPC/icgfAn4I+Drw0fQGEflh4A8Af+WzDiAifxL4kwDX4ZpNMKywYAmjbFA7rZ/wuTPOahIDBVcptGAM91SUHqUvI7kvRPHsU2btLQHsxPDqdXAcUmGfMuC5aazaM1e66EfHxOkUufYWWVw+6/kmDzzsO561kVMOPAxx5uu/bIW3g+OUYV1xyWM2CuPETw8ONs6kDtbB0Wd7n4iATti8m+mGp1xzDrPnH7iKjlO2BP4p2eetmtyormMpRp0Vq35OKO+tm4rla80BWA1BLsqFC3Oibj9OyVrzagWBmmzej4VDtnE85sJQPelNM+Kft0jjudrveTdtGd44Dinw9XWPSMMHR19F0rRGDjrzyV2NuI41eXpMFm30VcQtyISRn2sqVO2/Q8kz7fVVF7nrM6eSacQqxy9DmKU+JkRfCsQqqXLpI0OxCOpcl2NU17mKP0bGUubK3c4LV9Ei3tYLguV3uuDZj+ck8hSlAFw3YVYMCLW+YspXWVRhHmqoeQKb6cbbn3IDQYTnbTHJCoWijqEmpQHWvvAw2rUahVN5d2WR7HY8e8+HLHNS3NIqQueUXTLq7VAmmZDzfem8VVHvkz13grJPwsUTiqkXrXmJ89zp/BkVyOVcvzAUy2d03qizSpW0cPBuV7hsRsI3LpDbNTfP95SHnvTRiOqpfp+RUl6tYD/aSWR181jMDr7T+dweR3tuOg8bsWsZ1fIanTcCSZnPH3ajUZmvY83LJGr+z8YnqUX+nVfOlRN2H1e1ojyrRcxdrZ3ZJsf9aJHClEM6ZuF+H5CPX/Ct2wc2jdVcpeK4jCNFhXVIRFfw0vI4Bqs3ced7/4Psy4ShboF/FvgR4B74r0XkX1LVP/cDPvJngf9QRP468G3gF7B6lOl4F8B/C/wbqvr4WQdQ1Z8Ffhbgm6v3dWJplLqoGO/aNGBMBsLNSTUvMnPfU9GZ3QLGnoou0lftoqsQZtmPUy5cRM8hFYMYUFrneNFZEuuU4a4vtN6xuegJt7Xm4VIRf6JpE5+8veB0tFvR1bCyqOMy2MSZONSCheeW6LICm1NSjrnQPIGBvAibaEmwQ1IeKp5iiVE3/4wi7MZii5O36/neYSDIBMtAWxe8VXCsgnDTeivkKhOTRs5sKTFF0b5CNF/bBC6C8DAo0vgZAhnLufhsgoyyqtXGFKvGk1XErYQQCs9WJ2LfcMqBd9qRy5DZJit4ehgd96PMrJApibryZ4mPoRSuGoPKUrGCqbthZCyF1vlPwUyxJrZ347k4zwm0YrIak/rptGmYxIbOY5Qr97/zviqJqm0ywcZqKMp9b4nPTRAabwupF5lrAyZevim6GoNrVZPfsZ7PTRMYstVKrCv7CqZal3PCd9o0sp4LHbMaW+Z7R88+qdVLCNw0js57OqdEp7SuXpe3n8csDMXNx3ze2vUds+DU+P1Si79aX5PbWbiKxk4ragv8sS7sUosFp/s2JXWnpHXrIEmF5YpW2Q+pG4nJXOTKmpo2VUsw23uDg4IQfEZWEVYtshqQ3UA+gg82Zuv1gPPKqTdJnyEbi/I6Ji5C5nH0HHMgqSAKA0YuGNVWqKTCPgmXcXou7Zo7Z5vHPlltycrJLLEhCOGJpMgEExY9M5mKnokafbHrsrJgeBgrownhcWB+hk/Z4L3f2EecXPP+2uq6LpsBSYFnbV83R7gMti6csmPtCnGqGPwB9mWyof5J4DdV9RMAEfnzwD8CfOZmUTeAf6W+V4DfBH6j/jtiG8V/rqp//ks858UWW2yxxT7DvszN4jvAHxaRNQZD/VHg537Qm0XkBjio6gD8CeAvqepj3Tj+E+BXVPU/+Pv98lJ3eLDEjJXL2855yvb3UD1kgMeUaPyUdNUaGhp1cdRidRo6cu2sp8JU9Wu005GbJnAZI9txZB3M+3ZMoaXRJS+/NhJ+2PpClG0Pr49oDf2umoGrZmDIjrE47oeG6AJr73g7GrV2Ct0F4SJYqP8g8Kz1FMwTLViEZMlY81YmSuYmmge6CX5O0Btt01EwuCQ6N9dtNM6ZiqoIoSgbhHc7WIWpMtc8uzc9poxb4PBEGuSDQ55pmkOx2oXpXLxYj4FUvaWpLmRItSy28firwOb5QGgyzf2Kh2NL5xNJHfd9w0d9VZr1Bg0AbEfB1Ugh18ThpLZpHrogYoKF3sss2wGwEW/yH6XQVirvKZ3lWi6i5yqGGTY7TzYb5yFP0ZvMyfDOO7wzr9DE+Aq+Qk5DscgA7J623iqdt+OZKtt5R3HnCnUwz/uQTCGgCwGxUzBByuxI3jj6q2ASHgVlGKYksVFPd8m8fQGetea5C6YoexkTXnSu6I2i7JIjq1WbNM6ihinyeMrtn+aFwW4W5Vlls3n7rYOh1ixcRUtGH5Ldv/WT1Uiw5zOo0iNcx+lY8DgadHQdLSK6H0xCpAhcRlOxbb3yrLEE8HvvPsI//I+h19fIL3wb2fY0X8u4Sp2VNxZVdO1oMicCt/HE68OK7x9XXMfEs2bk7RC5HwNjMWrupDo71VhMiepNUO4HiyIaJ7W2ZRore+8kRzNJiFj9ibCudNvtWCus/bmiu6lU8bvBIssH7jsAACAASURBVLPGnaVTGm8RDNj7nMAvPkQ+Otmg/uim5+XqxLP1keMYOY6BrDLfo6zCdvy0mvJvty8zZ/FXROS/AX4eYzT9AvCzIvKngH8beBf4myLyF1T1TwC/D/jPRESBXwL+1XqofxT4l4FvV4gK4E+r6l/4vO/Pekb+goOSjXNdtHLi60LwWRZEECem7ioGXYlA61bzAmcFNs5yFxVT9WKqs1mVtTcG04S1FrUiGNa12VLj6b454D4cGYcTY/JoEY5jIGXPPkXWvtA4a+IIhg+7ulGAhfomxVxZKkHmRTdB1Qo6X9fjkDlkk/G4ItBWttOUO1h7T18Xyo6zmql3BmvdtlIVW+E6WkHQIdsGYosVtbmMfd+kXxOdce7jJEui+kSqWRhS4SJYDuhmc8L91PtwfYkr38F/8BbZKSFknl8eGEfP6/2arMKrdiQ1wps+UtMjn9K/+tggaUotSOorU8YW3kAutrgdc2E7jrMib3RntltRJVO4bRquGo8DnDirNanXMuU+es1c+si61qSEovPvBtDY2Kkqb06JF905v5PUFuuLqiaa5FwoCmfdpElKxovMTXJOtfZlKKU6MXa9d73lRVbBsPWhmNJoqQ5KLoajwxlbvx+F28bRuTIvbIfieEiON71BJpex1hhUqW8nk+6U1u+pcKNafoMnDoRBkZbngInZJFXtVT91Lrs0fcaYgGASGxNz6FQm2MXGzZwSy1l0Hi5CIUghDfUig4eLDZoK7rqh2VSocTOQfn1gHDyrIqyuDuz2LYcUWPtccxSRbfKVoaX80DrxdgiMCpdB2VaZdZPcsHt9EWwhHoptEmOF4MDWpMtY66ayvdeJzdlc4FVn2lpDhlTvQ3DmqG2C5X4mCRvVqdjy7JhtRxvjbR3Dn7vr+Olizl9R4ZAC+xQ4ZMcuOZ4Qr36gfalFear6Z4A/89te/o/qf7/9vf8n8Hs/4/X/nacZn8UWW2yxxf5ft69sBfdkEzd7E2CIfm6gckhTIu1JcrJ6p7uUuIwm9xFmCMH+uE9nVoqqQRMea/M4FmPEaGWPdM6qQdtaW9D++Bq+8co+fL9FPtoRXyjP2hPb70ZKFsQppx5erY48Dg0PQ5yjpNYpobEIY1IOva7l+sN41tK/65WPTwNr72eZCzDFy0Yn8TnFYyq4TXEzQ2rt/ad+n8YnFeWmgZtoSqlrX/BVdG/tjR2yVWotin3fyk8es7AqxkBynL3OU2UpTQnmPhdiyHC5getLeHlFeGdL2I2sdSAnR4yZ2+I4ZV8Tg44xyszkGItwP0rl2teWlsOkxilz60yr2BYex0zjhGdNY+cn52SrF2MvvR17601RReka53ixCvO4bMdi7Tzxc/R0VXGj16dM462HxH6Ex7HnJjZctB7vhPthEjSsLUeTKYmeqqhdcAZJnfIEoRauoqvKpI673ubdiy4QXbDorKlQR1auG/OEc703QyVvHJJ9Z+ssKrUeBwbp/FoJtYlRZe6MlsydFGoPySDepMqL1jzrfYWTpnoIh83FCYKyazwLTk4QjIrBWi/acwh8qpXiscJdF5XxNCXsr2oiWakKtP5cLb1PMh/7mIVnjfLBJ9c8/83vIjnDusO9f40+HM1tB3Ts6a5GupLY3yvDYPf2pjVYOKuj85lbYBMSh+z5pI+0TonUVrVq3yt1ThQVgpwjpZEporV7c9Moa69sBUKxZPVQLPo14obg0ySZo/O4DAWGwcgRYNHHhB5MVfnTmhfk3JMkqfDth4aPThEvWutVjD1l52i1F59nX9nNojDhsufGL8dUGN25yGcq+gGjXUUPWQQIlufIhVik3nxmbaNc2TuTFMZYbGLfepn1bu4HYRWsP/ButO+WyxZurRczIeBuH9Cx4HqluxoZdgE/FsZieQuA62bkkB375GlcYSiWV6lQN/tkbBwnVoR3X+UvbmKcF78Jwjglg85Ezr2YJ0ijQKXkAUUITtiNxv7pxGi5UeBlO9K6wjYFFOU6Zrajr2wtKvPFrHXKm8HxyUmrhpIalbdCMZu6yGu9F1eN53BsoG3QmxvkxQ53/Zr2RSLsMv2DkkdH2yRuu37WGNL9hreD5S8uQ5kZM7ZxuFlewgrwdHYKLiNE5xkLPPQT+4l5Yb5qTA/strVudcc0HVvm/JexZ0wba9KLWnlhU5lwt62fj7uJwg+F1ZyPSBXHVzXo8zLaot15NciPiYF0xronaE8Eblrh5Spw1yu70ajHr1aOVKiUbqp0heU41sFyI2NR2qpa2nnD+C+CFdb12aSrO688jhNs+OnQPqstar5CeqNORX9iekPBmFSnYs/auirGOs7Q1WW0ObtN5igckpvn6dor17XrG0yYvm3ux6yckjl8lsezD00FfbEysRxwGzNfXx9ofKb82ge4d19A28DNBVIUTkYrDS8HxocRicrmWc/hzqDi5+HAqY8M2SNEGlcIlaYaRTlkx/0YaJzJuo8Kztm9XAWdx8pX58RM5uf2sTo1Tc3rAFxFmSVBmioDvx2l0p2nJka2kT+OwmOyDeMmGtA5FDHZ8vpsTK5inwyuPlbJ9qxnp9OJsexWX7AbfNlFeYsttthii30F7CsbWQjmzb051Z4PrvY1KMoJat/bM6NFRBC1RLYT4y2PxeAaUxo9i/CNxbzsrKZouQ7Gfh4rK0YLnIojFItEilpB2+4v33HxzvfsC1cdNB6p3rxvQbegKjhRHEoqgiJzGDoUR1JrRjPBUn0tdMrF2j4ek87RjWJQz5RMtvM1iYiiFk1N11rKOeEpYhBI4wVXheuGomR1xrNX4Z2uZyyOt0MkKbzqSi3uU/bJfJB9Mm+ndRbxv7t2hNpvYTuaEqt9n53f45D5eL/mR18+R1+9gu221lw4dJuJ60J+cDhX2DQDr/drDsmm8MSGuo6FXf1+6hgo5ik3zsLyN/250KqZwvZK+A/O+hoXnXo7nJVCvViC8GkznqzK86ryeI4+hZWHb66NCHE/iEUxorwdrFZhEln0cm5x+cFhar0K765g4xUnxnqbkr19hrtBydmYUzeN4yoKV9HPkMNQI5abxjzay9qb4ZQtWeywpPdQzHvvvPH4i07ssVpkNzF3KqTisPnxONo9bCrMcajCjQaMmDDhy9agKy8QREl6ZgUd0lm2IjprZJT1nMTOakV7FuXJXABoAo9CdhbZj6nCdsG+OzqponoG64gowRfaWIsVxtH+60dIGd1agawOBb+C4cGhhZmhuD22PPQtY3E0LhOccsqesdj3BLF5d8zWkMqpsK09LZKe4Z2i5xau1DqLXTpH8lNP8InkYIW8FiXcDRbJbIJFE6lYYn+sIpEvOqksrDP6salNrA7ZzRHXZWWeWfMrmYsAtRJzOm89ZD7PvrKbRVZjgmyinG/+WGYNlFyYYQM4Y6gWCrv5QT5lo3t6EfZDrgqpwqoyiaZCmknx0tVNZtJt0idY73jwZ11jJxazqqJJKQOcjhERZRXHefF727dchEwUZZs896NnU6tlD1nqxLLQf59s4oRK230cC104s76sM5xV/FquwdfFLJneUbGn0ooMjfY5is5d2O5H4XlytF45JE/RMwQ3PaAU4VAf7u1oC6GxOAySG2uB5NQoaOWMXTZWVta3Hy74I9/9AGKD3D+gQ0YcxGeOw3egWWd8LOiDVXufsqdPbi4oej0ELkJh5Q0ei2IP2aTq28m0gNnCdz8IQ9IqJW7wylgm1VaDBHfoDD+d8zH2y3VTlQGwcX8YjPFyJ4YHl4qtX4Qz8yg65SraQncZdX7PTbRczodH+M7Oxmxdd7XpQZ4qhJ1Y172J7TL1vRamhcZw/qLw3UPNy3n7z5oS6bwoTQVzk4rrPtm5n9sfMf+2HaVWzdu/T9ngPCsiszm4CeeFb6LOJj3Lja/D5HTVgtOK2U/aSoek/NbeNoFVva6VPztj69ohzwu87Oy8+yzVMZggN6OCvjl2DNnzzfUJffUCnENOA6xa2H/496wbwzHMEI53hcZl+uwYiidWhtjDGGoeSDjmcyOtU5EqtW9QZlM3Lyc2bh8dy9zx8Hlr0N8xw9vR4KfraMfYjtbR0wr05EnOglqkCQmZqfGX8aw462sOCGztmRydztvcehitKDnI1I+7dpSMhc59vuzsAkMttthiiy32hfaVjSx8VRWdktOTeqeqMUo28cylh3NSc+p3PbUrnaKKLlSpAzWYZjfmuS/0MZlkxiY49snYPbtkYfVdb8nPISvf+f4tt9MJtiaVWU6F0yeO4zYSYybnCuGMkfu+4ZA9bd3xpySnF4sqprD+fjCvIzqt13f2CCcNpsmetg1dVeVXrcqyD+XIjV/N4wRWN2EyGDLLQGx8pi+O7ehnaCxPKpac21FeRvM0D0mrxIPMHjxYBHOsPSaed57L2PDrO4Ff+y0keNgf0aLkbUYHSH1gHDwpOZwzPZ9Jq6f1NkYvRfmkj+ySm73l62jjpWre/zQ6TU3QOow5pBj7aFJhPSSDA1+sHJ2Hx2HisBdCrcnwWkP7Cvf12SKSKXHusIKp170ANi+8QI7C46B8fLL3XDeW2LQe11YIeKOeU7ZmPlNE0/iJ6SWMFb4ZyyRlY9CCE2MoVYkwrmpjqOgs2h7Voo6Vn/pJTBGFwTxOzHt9Zq0QagLaaneiM0/WvFKDr970Z3VksDm5CabdVTBPeYrs4Ey46KsXbnptzP0UDDaT+l5TpZ0CcvubRRtTMdz9YK+HyvK5DBDclICORgp5c4d//dYO8uEb2PfowRLcmpS0E/p9qHNfbI5h8jOHCj1ZzYRjm0w3aurHYfUMju3IHHVNmlZthXWzwovuCTORql8m8P66tmsdqJDTOWpYuzNUapE7bBpDFu7qdZusT+3lEWqivT6L4beFA5tgLW8ngsysi5aFoXx+Ud4SWSy22GKLLfaF9pWNLJS6G9eK1/2oT1Q9rd5Cn3hD3ptHJUAXPKdk3tZta6/f91aN23phP5rHeci55iSEXIQPj+apbIInF+F5J4BjP1p1dfAFDpZU42GLfrIjfZJxXtg86zk9Rra7huMYGbKj9YXWF3ZjYJ89+xp1DMWur/XmUShnyYBVsIrl26YK+D2pnrVWrBb95BphNa4KCwZH4y84Zasn8DVPMUUzAJ/0cBU9p+wQUV40iUNW9snPGPJYzoqkgnmBmyCzFxrrz1UQmmL3Yor+UrHrKXdHnPdwc4V7vsbd9eShsH6R2H8CpQh9H/j+7gIvSnDntp5ZZVZMPVav75CFfU2ebnvD6d8M8Lgzj13k3Mkv1lzGpROis8ejqQn6Sa326xs/UfStoht4uRJaJ9wJMLpZGLEos6RHrhj0blTe1GpysO/ri+HXkxLtKnhaZ1GJ5YzsvbHmLKZ+HhOurUDjlct47k7XVuplUaO3nrJh4lJlPqaaBLtvwotW5+g06Rn7TsXyYqdKnBiy/X3y7Fdeqzqq5epMacDm0FRDMtVFTHmKm0a57AqnIjXPoXNexmQ0tFaF15amxaKyScqlddS+DFPkZEnatubPmkrdjaJcxvEczgCsW2gCUkMZN2bi1ch4ypQsPG7Xlq8ICSdqyf1KEd4lx1hq3sYpBHtGOqfkcM5RTON1mpPzyvP2HNUWpSbCbbGy+2WyK1nhZWvkiKkT39QRb1rbDtlIFFLn1SbUKNvBbSx4Ub5/Cp+SiYlAU6vv05RndTV/63XO1fwg+8puFkV1hoAab81kjqP1jZ5YAbuhzAynKYx+1vlPtZ4csi0mikENY4WnrlvHhZrW0rQJTTo9760dz1uldYVNEPqqdPvQt7CvGhTrFoJDAuRRGI6Rvg/s+gapqpB3VfsI7CE7yx/YRN0mY4oEERK1b3I26OlxsIf+qnGzNtI5fWV9pjfRQu2spl3ViVSmjJu1lYwoUCr0JsbmCcImFLbJ0xehr4VwxwqNTZN6Us7svPJOB5tQiAIf9Y5jlpkrfkw2ef3E5vmNE93v/QQ2Kxgy5VgYd/Dw8QpVkxwZUphrKbIKh2wh9EenQHTGIur8GfoYaxK1ccbG8aK8t7Zx2I+wqUM9ZNvMvNTWs9kWn1WwxkTHpOzG8zzLqmzHzLMSaFxtXVr7P2+CbUw3UWkqlLhLriaobZxOWapchrGbZh0gPxWEUtu91u8r0DXCbVNwKDcxs8+OT3rHumpkWVMnuy8mS6N4jLVzSMqzxhYXSwYbI2ZdF/zW2eJ4KvIp2MEL88bjK3T3bld4txu5bWwn/uDYcCrOWHCVRDAl4J8QyMz5GqQSP2xhn+o7JpuS80+Xr6mVacmCr724fR2TVOHAu8HV+gSDE/fZQ9+y++XM9R/ew4tbm1fH0/kePia0gPNKGjwXm57jMSICL9bHKvfRQHZcx8zal8r6M5LH1PhpLHBIdt9W3ja0sdg4iMB7XeZZlQxf+cwpe7ZTu9MsbJMzuE9hm873fDvKDDPVsp1Z927a1Lv5dbgbXd007f5OY+6w+76vrWxTsfnqsM2n+3wUaoGhFltsscUW+2L7CkcWzDUFN42ncdbc5a7PtXLW+huMUzWtWiOZt6fMB8UE+G7bUKuxSw3XBcHC4MfBvJerxjFk5WHIrIPnMgo/cZm4icn6PKjMybCxuLOL5T1ET3juCftMHgstCdkppxw4JV9pbfb+Tch8rVM+7oPVbtS6Dvg0FdGLVqqwsAnmWW4q/XI7npOlqhZZTT0armLgpvGsV96qc1UYUBpxs/hd661Bzas20flijVNqUnGYuN5iVbYwwVDWd+D3XPRcxpHGF54dO07FuOmHZCJ1Hx5dbbEJ407ohgR+QI8jbuVwsdB25iY9PKwYsom63Y+RQ3JPxqlwzCZmOE50XkyR866vFNJgicFDMorpRZQ5wTpUsb/9qFw1MvfAeKySIX02csPTdqdBhMd6/5+1RnedKudftYVvrnvWIRNc4Zis2cwxe94OkbeD46FW8k4KuIdkc8sUWS1CnDzsqZK3dcp1LAhKPwpf6wqdLxyy4+OT475GP5tglNyJm995YVtrItbBPNJ99WZNycYouVN0BcwRyGQRg+Zetonf//yOq8sTqvDqYcObY8f3jx2XIXPdjPTZ8TAG3gyBosI+n6P16ehTEnhqYLUdbQ41s9pCJUfwlB5rUZti0OFlpSLHSl++agSXlLvBkwJc/rRH338Xmoh8/2Or3q7thdO9RWO+LTTYa84pfR/ouhERZftgoWfrCmtv9RaXIVv/mcHXZ/xMcx1r7Umq9OTLoPzE1ZZntb9E2yaGIZCyY9c3bMfIdozss+dhdEQxMsE2OT7p4aYqI9yPtp6kAt9YG9y0S45DnqJQ4XmjbHyhqPDmCYx8yOf7OsHGUzJ+VGEjn0+d/cpuFmB1BI23LlpzYxWEpIWSCxv36V7KYIqjQUxC465Pc7c5Uy01dsHU9KcLsB9t4C+i57a18O6j3uCZCfp4HE2d9ccuPOPf+j4A/uFE2Y6Ubeb0GDgeGg6nhqyuYsbGwtiOviq92vGm8PR+ON/wD4/MtQuT+qvVgFjdwK4+9RPTpav5maIGnaVikgynrOQ0deKy8D5WSG4qSEsKv3UMs7TyJEXR+amX8Lmf725Uhqq6+Qu55WXboBgzaFIaBVOkPdY8ytsexMG82las2bfQrDL7h4Yhe7wrM+990i0CQOEqZIbi2NU6l32yArXO16LFmhtJhcrOUt72lRcvBjdqLYps6v2emhC13uCSJ4QzTrnMXesa7wl1U4kOvnd0PKYVN9H0o0aFfXIzlj0t4kOx/NIpT33EbbPqs9VETMWbqyC87U12fYJwLB8k7LKv8i/M53fWC1JKnFRRbYMrT8btuweDGd5bg1S4Z3iydtjGp7UIzeo7HkbPt9/c4irJKKvY4lzrml7XHtanukhN53QVbWy3tVZuYhhO0Mo0V6Nj1ldyT/D0UzbYbNTqkFS4ce1NKqRx8KrNXITCZci0vljzo8vLWo3bk3/pQ/JDlSj3oBnK6ChZOO4ju0NHAd7erXjdNxxqfdE0plmF+9HP5/cUbnscZW5g5KvzcczC391veBhMSuShduSLTtmOvjo2dk8mOGpqhLXy5hzukz1rp2w6babrJHVdo3bu01kOPTrF1b9bgeQZrprGfKw41E38dH7ys2yBoRZbbLHFFvtC+0pHFpMYniVZ3Rz6rr2f21xeVNfqo0OaCRMX0eOFuWbilEwupKnV27EmrPps7xmLsYxM9At+8U55tbJeyNZURHkYCmMJlJPt+mEdkWNieCtsHztOVbbCYXBVn81ztOSZndhHJ5ON2I7M/ZQnD/VhKMZqaCw5LU+k36bfhqKcklYmhs5RhvfMMielVoLuxkyqyqzeCbetwVEmXaGVTWaNaMbK5Jm+ayINrMK5//DjaP0JJrXfIes8dqdc5vatm+jIo0AT4HKDbBrKfscnv77m2Ee2fUOfPWNxfNI3bJOb20zaNZpXN1YPb2LspBptnfJ07wxWm5LN2wrbrIPd10Pt3X0Zax/rAl2syqLieax0qE1w3Lae3WBCftaQpgrtiREQjhkOycZvl+zYU7J4HXT+rsaZAKET62kxndPE1ALY91bPccrmZd5Egxweal1A56uEhp/YQhYFNM68blXjQk1RnWDn8byVmVmTVecalGlO3o92nGeN1U44zLP93jHOjKr70ebOj18kijLDgVPbmKJWyT55qJMESXDMCVkwiGkTlMfR/v6uKePUNqNSGXZaFQzMO96n8xgJcO8cQ43uX7YjekpISqaasFnhnq/QcqyDmtEEfiicdg0hFC7WJ+52awTlWTPgaCoDzPF6MGWAzulcYzRFSH2xGhfvmJlRpd73j05hlqK5DJlTdnx48pU8oLXWwY51Hc9EBS9Tv3mDmS+jvW7wlsFNUz2Fr2OptR3zq85u9OPo+M4ehgpJP2/PzDPrT5NZ+3M91mfZV3azEDlTS68a64CWsuUqRlVKUnx0c6e8rsp3tN6K9faj9eLOlUXQOccmylxwltW6VnkRvBduW3uA354yq+B4c1JO0Sb2bjSIwgvINOKpoKdCHoX1emB4DBSgL35uTgPwbjdyyo6H0c8Tb2pSP/1+zLY5XLe1Q1sxXZxdb/3Bp4doLCaxEZyn8zIv1lNnvUMqc5GiyXN7VnUWOmxj3ERHeCIFIRgGfRFswu7TuYAsq21GmwD3g2kGTdAZnCGIthZCTnmk1TvFGCv9QPlwS/9acK5wrDILitCFzDMdKyziuRvtPG9iMSiu0krHUu+TM0mFVyvTC/NylmbIahi3qi3QwcnMvNlXCvVFNLmSfZUDmSTrsxojZ1L4vR8MdlO1hSSIFZ89DufOatOx9Qlb5VlrIyp1rMdKobyqqqp97e60qRtWdLZYrbx9z3UoXEaD3757DAzFKK+pLtCqkKvb4EXBGRQ49eqetLMMVoQ2nPW2bFwnba1zcePbwfpwO2FuAnTIwuvBcxmKbWJqTlTQ2rAow+vecV0luo0uepb4htqsrM6dxsHDCIxn3aMg8NHJVGptA6yyIk/yNFnhzSCsfcX4Xw809/cQArx+sM2jLpxpC8e3gTdvLyw/0Te0IbMb4lyoVoB98rwZvDXa8kqu7K19PivIboLNj+1gz/7XVqaZtkuO7xzgtrHjDY1QauHckA063I3GeGy9Vgq4FR/22bo/7kabx6vqPNwPwlgsF3tIwnXV9HrWjDSusE+Bj3tbcLYJXnQ2TpMzdFHXoigTxf4JtvoZtsBQiy222GKLfaH93+y9SaxtWZoe9P2r2Xuf7t5zm/devIjIzMgqV8kuLEswQEgIyfIQEP3MQlhC8oQBkxLgOchCQgJLSCDTSPaoLCwEEiMKQ4kZAstgCZeozMqKPt57993utHvv1TH4/rXPDZOZUZPEOLhLCr243Tn77Gat9X//13x/Kwv9t7VkK8XM3f020jTPK/Nk0G13KHTVPMSE+zFPjSGAO++ZZYCRbwg1HEfuIDaBW0OrJUNrGT96jNzRVr3CmBMWziE88lVdz7/LGtl6DA7b4JGKwTY4fNN71QWYKaCkMWR8bAKwC3nioTdGsG55fLlwl7vyDF0KuUysqXqsLldGRcE2BqTCpltnBeu5J4srF7zrA6x4zJyoIZmyjDJhjhpGQ5Gf4PXc4Nxjcg8lO6UoFMXzXHfKjQEay0bvZkxAAQ4pwUVB7qGEfuJjYoCzqwEiwOHYYN4EHLVBWNlmXk5akpAFrWEwD0VdFChWo8iZqznW3HFXi5IibHSGzKyNalFh5bQrnpq0zSmnAjgFFfE8Qu0hKBgbs+B9n3HRGiwcxWaHWDDq725G4E7N71qFBL0RLBRSespEqqaFPC7CEgLgkAw6rTa9sHyrQkQ6kAruBhr6rT2Fbk91arcD3+uigeZOAFe8LbByGdtocD/KVBnVzIwxC1oVplmFuup1uQ9Gd86a264Otx/6jH2iNqcaANYmPHDK8hYV2tXz//RcVyZXZwpuR8HKYaqMaPDHv78LBnNn0b81aN7fMytlNyB83mO41zlg3+BwaLBRVtLN0KAxWfVHBY+aTW1AJmDVtVw1ZbqXq4gOYCUJvQ8fteKN+sxU0sDPdhZXbcHSFUTwPDqj4jtlK94MvF9m9hTNWlCeZKkI3vXAixZ40fGctaZgZhO8yTgkO7krz/SaWWWOlQLVShlso6DPzXR+f9F4riyex/N4Hs/jeXzn+N5WFlQvngwB584q5kkMP6Oqf7lK72PE61lzUpcKOfbHlLFwBtYAS7VJvu0zcVgDXLZOVb6YVL7VQqLanHsHuGxx2xcY3a3BGUhnMLuM2N/QCsREAMjobEKB16ahwfuBVEdv2EiuO1xnaGXCz8CK55tDhDfsN9DemrtYAEBgf6AxRhvUBr+2mmHdCL45sH8hAuzHTKuTxk/4uAgt3rtM7P6+0PyuMczR6BPw7kg78lpFLBy58d4AVx17BewhZO0DcK/SGKqa2RTN2L3z6G43QOOQHgM2ty2OfYM+Orw9zDEkg4P2cfbqGJ7aYwAAIABJREFU2V/trVeu0hjlZD0hPNYxn+I4a4XgzMn2OeSnjX7u6NcNK7ZNYLTpzPFYj9X23XC3zXhQ7hypgq8WDtzZCwyimv5dtxkPIng/1L7OKeo3KY153bDBO6TatOa272EoWM8Fv7EcMbPUlBxVvb6NFrcjz6noubBSMGQ2zNcNd6gZ7KV0Vm0fwH6EkVMcqTe0dwGAN72DEVJeaeJH4sVC9T2HRFr1NjJPpFN9wJDr52e1s3CnPpEV4Krhvfug5IS6saXVf6XSEr9fN7TY2UbB217PeynohZXlY+Dz3Nqa68DrsXLUImzuOpztj1oOF5QINOfc5rtuRIwG14sDsJ9j7iLuhnaim9IyJGETHDaqf1p7HkvM7NfUPkk1WKyJkTWZrrMnUkgdBZoUmE+2GxlAI9UAsEwWK3O1eKmK/hoJQJp7wZgq4UXwEDy8GmpWgkdnCzZZsA2s/K8aIBSjehv2+tb+SQn7c8b3drEAGG5U9ROdtVP+b8oFnTeYuZPnzpl30wQAnCaNznIy2IcyTTpLX60K+H2ADVDo7+3GgoyCq9ZCBLjrT4R1NXWFdA75fsD9lx0e9x2OwWHmIvbB4W70TxhMNUu65lXUm05wrjz8QZu4faJf/jZGoK/5FYxOBTBBNWxym6npvhnpXbU2zKKYomY1yGl/JCzXOZniLOnIq95KYDNvzIQcqmAtFeB9n+mLVZvEBRjUk6rT/OBjLMpq4et1ywi8vACchZl/jdXFgN1XHYZosfSBORtDo55EGbfFTjz8mo1QWTI1dyBqvknn6kQDNimLitJyzV+QCU6q56bmE9Rm/zGWaQFuJlhNtOFK5o6VmtVAOwZngLU7wSSt5UK0DaeArJqf/DgWLLzaWGRCpRW++2DOf7eRhIdYDFYu4arhPbZyFm96hwz6Ij0VJm4Cr1kqyrsvp4jNlc4EnIAK7keZIJOlK7hq2ZAOmY3UCjc1Bqq7qDnxolqHgg+7jNYWbbiTvWOl4GYwugAyw/pMsxluen62XSxYOp43NtULbnpel6ALUAHft7NlClcCKgHk1AgHgG2weNjP8PH9DljNIdcrNJ8MGD/nanh8cCgFaJqIy3LEtm/xwfyIvULDl01ErzHHnSlYuIR9tJPNx9qX6XwfEuGkyoyso25Qqs7h19pEtmMSJGDKUKlstnOXkX1dgETjZ0++U95wgbgbeb91hsFagKBPBskw2rYuFl5IQNhGwctOYddC8sC5B3686HE9O+KXjWcY6nk8j+fxPJ7Hd47vbWVRCumwvnA3bsAGamsMxpyx7QNWweP1vCopSXs8xoxXM4vW1p3BKWkOUMfXwlIw5jIZ8lHZSzghqoHb0tO2YOEFDyPhrFIrvTGhxEILiz3QuQRrMvbBYeUSBnXMBLiDGTN3fKnQqWDm2OSzIoih7vIMCgq8eCy8KAW0TLGlfFv+7jZkpMyEMR5/pfGV6XxceqOwBL8nwBTwnkvB7aA0S1uUC85dTt2BbPW4dppncFAaamsNOktoZKPd9zNv1LgPaC4L8PIKpWlgXn6G8gdbWEM4YdX2iNkoZ9/im2ODF22eNDT7KOqmShiHDT3uiBs9zmofMYbTTu1YCJtV1XT9zDV+dKHnokKAZ82poV71CNW4stXsg6UjxTgXwhK5UHn/MBJqylrVvOxOinpqBjJuh4yzxmLlgT4KlA8BEVYklReflH7pTcZ5M2IeHVIR3Ax2guCAb7vIdlYNExOtNRpTcKmVyT4aJJCHX69jvf0fgpk0IlRQ87gG1XxUp9fHYCYV8fvBok/cfVddQqeU9qD5MNYwQvZczRy/OpAYYADcKwV15YvCf6eMhl0kxVkAvB+0wWsxkQhGAAsLiMm47TuU/QZyvwW2R+THMNHYZ5cRdpNxc7PCbmxwjA4xC/bRIWhOy83g9JkEQrAnx193mm/2qlRvFY6MRb6V0hjyCZ6qRqAzpSxnfY0KZb4fT+fQCyZ6LCspTOSFGtfL6pf33bmP8KYg5JMRaZ9JuhnVEmgbeB0um/q85ylR9BeN7+1iYYQCtbklV/4QC64cT54VgaQTTMOhXkqF4qmUCVcdNXITIHwydw4LT64zH/yMFWj7UVk2qQAxnWAZ+vvwfR6/YNPiYnZE3BS8fb/CV7sFvCnYRYuf7FqN6CR8QmES4YohFZw3tB+Phe6pd0PGNuQJcjvzDmMqcIbuuaWcPiN1FRneGMysQduoYChQZlWU617ZXLGceiNjKlNAUMXPK8uljycxlxUuzsApqKd6AVXYxcrpNWpcKXUxLOHHB6DZ7SFtQBkihj09qEI2eH8gjvcwNthGi2006PMJTqzWW63h5H87FM1pLicn4Qp3WdW+oGCpwTS8VzCFNdUJ9mGgiPCssVMfB+B9MlP7lIvG4Jh4L1Sm2kahiBqrSt0J74fHIDjzhMr6xL6RMyfWz2ZMuGgcFv7ka1UZXe8Hhz+xDPj11RbWFIzJwqBg4SNsz9eusBhAXNpLmWCjyuev5+JWmTdWoZT8hH10THUiIh5fo4Ib8B5PWVA0PtUrOykXwYu2TP2JhyDTdZrOXTkF+sCeFoGrjr3EfoKueMz1GSJEViZRX58Et33GRcse2u0g2GkU60b4vMyGBuntAW7RoBwDSi7Yf83pL4zKbDMZjU3Yjh776OBNhimCIdPJtlrLoPBcNMr0ywAWNuNFW3A30kF2btgLGnO1TiGE9tmen7ExDgtXcKaQXipQ5lSZXjsULpit4XN1UIv2KIQnO7UUqaLL67Zg7emIa4Usrl6ZlEuX0RnB/ajao3CCPccseBxPC8svGs8w1PN4Hs/jeTyP7xzf28rCiuDdMUzxoevG4KqjqeA+WFwLlZhPY1W9qe6jdYdM1hQKd8Izx/wD5gsUrUAKNmr1MOouE9DYxHgKj09FnUkvRgCA+8ES5nFA89OEdTNiExqM2eDjWeQOJosytljpnHlB1/GzvR8KHoaCTQj4YOZx3Vkc1EbgzMtUSd2oUrnu2NaNwWYkC6lTg0UrmCCWY8xYeFHzPUIqSy9TE/96ZrBwLJ3vR3UKTdyp71WlftacLEjmjiyuPhWYQoPACoukwqZ6tY4Y1QiuFODuzQLL/WGilN0+znEMHkYK9tFhGx3eDw4bZZKEcopyLYUhQLXZWNXSg0afVhZbhQY2gfBQrb6c7qjPGlVsR34OawRzZxQmOFUyfSzYBkKNK8/X7PSpEgDr5gTfdRb4wTzhdjB415/sUB5H/v8Plwb3Q9HPY/CuH+APovG9fM2Xs8owY+jTWTcgF8EQLcQUjNHibnSTdqGOzrDpXHCKk104HlttJlc2VHU4reZ4h0il9mWTJxjjkKgcftkmnHma332+V6sLofFfzXpYOBoH3gwyNa1jETiF6LaJv1chGsa98pp0CmvGDAyo4U9lIn3U/BRvyEzaqx3IdQsAtbJRGNUJ0HpIzMjHguPB6z0jeLdZ4BAdOpvQ2oRYDI5JLVRMxhYWnWXT+JAED4FQ6NpzfuDX/Nn9SBgtFx4bTTfJZLRP7v+gKvttoS5o5YrmZPC5WGhuRtFK5vUczC+JBl8fWflfNKyia8jXYzT4kRR4k9EqLAiwMktqC9IJ7/NaFVklQhziLw+0+N4uFgBprdvAgKMMUjv3MU9WAn06pcgRqya+v26IqS68YG2s0ihrApngYUywwkAlawTLxmA3MgRJ51WsW5lcam/7hFDIKDo+EIZqv9ojPhR0rcMyG+yjRzV8yOWEE3tDquUmCA768C4qLdM69kzUv2rh5ZRCZwTv+wTvKM4DMIUhLT1Fal8cj5iJw0XrcN4YDViRic3TxzL5BQGY7M0FpJP+0e6IzjicNw4zVw1A+P517OMJJ28sF493x4xdIPZghWwQOuYSjtoeW6AfgVkHzDxeXO7w+DjDEB1emgw/dOiTYUKhYvHVMXOfzHS8RshS2oQTHFLPRcyYQrBS5sJFdhEXrjrx179rDODVIuQY89Tbue4sZq56T9WQIMIkh1hwNzBYaeHoZNwno/npBXOwd1GZMEF7YHXT8qfWHUbtkdRwpsaccGsrGfuxgTUZ84bWJ2OyeN0FhOLhhA6/FAdyYh40ma5mj5OiS+uPavWxUCplhbCSvnfS+1LANMJWV34nTGfzS4Oly4hF4c/C52hbaFP/Qv2IdpH9rJXnM9IqbXpagJP2idTWpjMFl/q3BtwczGyBVwimoGBWLU3KSTRoDaaFahcN4k2E+Dukx4DHzxp89XCmr1mwj1792CiK/dm+gTOEiHKhRUks3DjcDfzcr7o82c/MbMGne9KjG0MaNKEy/u7cFfx4wXNdx8wRYnoMNS0Q2ET2Rc58nhamXpMeLxo+j1nvm7uh4IOOi2cs/MwFJ0fbO13QgJPH1NpzwdsZvid7Quw54R90+JGIWBH5OyLy3+nXPxaR/0VEfioif0NEGv3+j0Tkb4nI3xWR3xORj5+8xg9F5L8Xkd8Xkb8nIp/8qo/7eTyP5/E8nsdp/L9RWfybAH4fwJl+/e8D+A9LKb8jIv8pgH8dwH8C4D8A8NdLKX9NRP4cgL8M4F/Vv/nrAP69UsrvisgSTxNCf8HIhbvgmaXh2D5QALQJEWNOeD3rsPAG9xp0URtRKRcYODZaE3f6rcGUvc0GlGDhDK46M+U6rJfc0d4c+R67kVkaRqp1g4M3gu2uBQCsU4BY4NA32A0NrHAnMUbgLpwYJDU/YMxkVtXGLABcdwYhaxaDJftpSDRngzlpRepImkWeCuGyj7oZNRuoTAzBpWaOszQt2Ot276yx8IZVgTeCY8yYWYePFx6dZdVWIx9XTyJKH8eMpeeuzGnZ21jBWcMQp2rDIhA8qKPq59sl/tT/+RXMxR3iH24wDi0e+w5GBVpDMroTJyTydMczZjJ85rpbHbQx36ih4ZAKDspkO9P408aL7gYLOgeUwB32yrNZDWDS1aRM5tZizu/XnX6vDqgCqICNO+Q+cTe4cLR9uRu58309J6NIBBOJgRkYFXI6GQamJw60Vgo+nNHS4awdcXl2QAgWxmSE4GANs5QvfMZ9MHACvGjzZDxZq4qiOdrVcPFtz8980fAcfn6wExunGgRWE8H7IBCpegqZhHwPQfBN77CskafCf1thJeC0cvNqR3PmC2yDSWxXbWkWruCFNrZDUfsSnDQgubCCr87CfSqYWcHSFQy5TI7M1SJjrgK/ykQsQ8Fu32Lu+I2QjTavBdvB44ujx90gkwHjzBa87LJmixO267PgsiFMtAnMu1m4gnc9q1BnnuRc6/FXzQPAqmcfgRt1I37VFZ23gENmaBYtZmjH4YVGg7dZ8OEsY+2BtacYNhbBdcO8lLtR8DC66fmruo4RvEZWgFGhvNFwblu6PIU2/bLxK60stDr4ZwD85/q1APhzAP6m/spfA/Av6P//FoD/Uf//fwLwz+vf/BYAV0r5XQAopexKKYdf5XE/j+fxPJ7H8/j2+FVXFv8RgH8LwEq/vgLwUMqkNvgSwEf6//8HgH8JwF8B8C8CWInIFYDfBPAgIv81gB8D+B8A/DullF9qvl7AVTrmgmVjaN2dqOTuc5r49Re6HfZCHPVQEu0zsky/A6hXfSKfnxGtRZuWMhm7Vcz1snVTVsLCCe4H9g+W3uBnD+f8nS/2AARjstiEBjsNbq/6imMRfHEwExW32nnfq9120QbZmNlkrbx/AXBQc766a69NtQig0x5GY4Ez4WesNu3O8PVTYUO3MQIDg5kzk/p65QVb3QK2xuDMM98iatM3Zkw0z4PSTw1ODbWUeU4qbXJIrAJDpk33zAluBo/weQ83JIy3BYdjg85FPPQtbocW22jxGA12QbD0wLvBTBTBaokQtJle6aqhnJLxrADGiFo2Y7IqSYU/71xNQ2OfZUx8nU8W7Ku8OQp+tOA5CLngDzY8jvuR9jIfzs10LD9cEFe3UpBQ+yGkPadSMLNQrQDTz6qVA8BzM2+APJapgb9w7Dtso8V+9Jj3Hl0XkLNg27cYk8E+Wnx5JMV36av1dNVTEOvP2pROSoOtBpCTPYcp37LfqN9LSrt1T7aZVcm/9kwhrC2rfTxZgsTMHka9n0UtKmaO9uQGJ8sWJ0yGExTMLe1D3gxWyQy1T8XnIag9ipWiVQsdDepx14Z7KkBOQD4m9DcGo2aiAMAxOvy9zUw/S4aXb1+LPp+uyT5R37GLBW8HS3tvOeVprBtWTLXfUANxqzbrUE1BNcmytQVnGgmbtSdiC/D5waGx7MfVqgUAmiw4JDO9bzf9TsG5L8gwEK22a5YFAIiw1Om019NrlVEKK56lS7hoh58zk57Gr2yxEJF/FsC7UsrfFpE/+8f4k98G8B+LyF8A8D8D+ApA0mP8pwD8owA+B/A3APwFAP/Fz3nPvwjgLwLA3JxjFzK2McKZBnHKchB8sujwojOM+NTUHlF455WqbMbMcBwjhJbYRKNFSCqcjA0Et0PAyjlcz4xCFbTIqHDO2yMb3y9mVi05uPoMRw9jyFoQFOyj1eYqI1hDIevpzLNsN8LJXBEmLBqBE0EJbM7WB8IotLNSiG03Zix1pmkMoax9KHgcuIjS/VX9n0DP/JpH/nJmpgbxZix4HCMyCjprNVtb8PaYcUxcfO4G2lKIPlgrrzGlqUz5yAvH392MhPyKNvUrXGYFeNMb5ED2lL8A7JcZXzycaz4xvb2qt9EuVO64NkCFk/C7I2CVeXPdAUUny/QEvkoFeOj5OHfK3Fr5MsFHlR1koKyWUhe5MukvzlzGj1cOXrIK7ThBXjcZC5c0CtdOLKSXEKxcgTRVpMbJd66kBfpjVY+mqmMAzoheYu44sWyDxeuuQdcn5ku4jJkPCNngIVi0hpuGMcuUybCwXLjqhAGcxGIrz+vzrj9ltldLj1547uri8uEs633Kc7IJ6n4rVTjKhmwqQAn0SztTDUcshFQOSeh0q0yrxp6IFEOGZoML7hW6qefGKongfmTje92UaZPWWp7j+1HwGHgsRRlATug3ZToD4wMOT3QFVjIWLqMxBRc+IRTB+8GhTwKnthm1ub/20GAmnpM62dZrsw30lrtuuVD16svlDL9W5AvvB+BldwofMjrZVVJFLkCIgFVroZ2eR070wJvR4LIteNFkhELoemG5OCwd//2jvZ8W7gyyDc9dxl5JFnNL3NQIsG4GnHf93z+lfmv8KiuLfxLAPyci/zSADuxZ/BUAaxFxWl18DC4KKKV8DVYW0L7Ev1xKeRCRLwH876WUn+nP/hsA/wR+zmJRSvmrAP4qAFz5D78bhHsez+N5PI/n8ccav7LFopTylwD8JQDQyuK3Syl/XkT+KwD/CoDfAfCvAfhv9XeuAdyVUrL+3X+pL/W/ggvMi1LKDdjz+N/+OMfgjGDt/eToaTMbwoNqA+gYyTXlqrHf6prTBC/pTjRj5dmwXjeVesnXWjcOIRe8P2a8nBm86AzuBprW0YFWpohN7vg1U8In7sTaALtnUtXKZYzabOu1mQbwWKs1RC7Ai44Vwiay3FzoNrEzwD5wN28AXHek1la7kqYhBJULY1+rlUXK1XivYB8L7oeI685h7vg+Z15w1QoeRo/7gVRkb2Sied4PrG5apSwuddMWc+Vx8xwcYlHuPPUbSxG871l5jLlgTFTL+hnQ31sYH/DweYu3uwUATPTYQemUM0tK4z4UXLZ1B6rXs2Pj1ghpi43hDrQxpIXyd1lN1WoNoAEdd7XMANips+jcFbxqGdH7sgVed9TLPI20PPOCUgQiCp9YkgG8KRPEuI+CIQvOfca5pyHdY63EXIYXwpfbwGMwQtps3SEuLPn4C5vRqOK4aSJyNvA+YZEDZjbjYTwpzdc+T7v21hCCOOrnry6oc5txjAavZycNQLWyYIaKgZMywbKhYFIf342GugBVHV/6hEsPfN1bHJNAMqvHl22e0uWMAJcNq7+5EgSaWskk0nh5faCEjBNZY2ELzhwJIUMWfNMbrDUl7pgEM8smdNTPQGqs4PDeQVzA/q5FLAa96go+3c9w7jOc5MmlNxVaYYyajRIym8cLR2fdarxYtSiXTcGZSzh4Q80FWHFsA+E1I2ww18/w0Yyf9UEp8a3CSffjKSVw4TiP8N6qBpAkGcwdK9NQCCeuXKa2RoDGZD2mfHKdNUW1HoL3A49jpuf7mAS74Cenil80/kHoLP5tAL8jIv8ugL+DU4XwZwH8ZREpIAz1bwBAKSWJyG8D+FvaIP/bAP6z73oTYvW82ypL5aI1avdAwZwIsFLlkghQcsH9qKwEMFe7sYLNeCqF3x3zpCdYekNBjK3lZ8FFyws/5oKFYabykKhLCKVg5TnJzNYRJQO7XYttdCrbt3g3WLzraS9hdSKmnTdv1H0U3PQZjeFNkwVAPsWZFpDxc9XR2dNFwUY/080xobUGc41AvR/KSTQYT1YdS8/Y1UF7EFXcxJu0insEV0xEwv1QdBEVPIxlsriICuWVcrJrLyhqH8IHubrdWkPbkEaDg3KaZnCEbNBnA28KusJc9JVLOCaLlSdrRZ4wZgr4IBipOgpaiP9gFqcS/f3o8KIN+DPrgD5Z3I1e/Y0ybgaHYE5+TX7CjROu2xEfrrYYNTP9/XGGV7MjrCnYB4fHscHd6BAy4abLhtd7EzyOycAKoznpJGon4eC5I5yQCu/NPgledgVzy15C1d1wEhU8ZHuK6Bwd+uhQimAzNJjbjHVj8Bi4YG6jwXVDSMy6gkaFjGMWXLV5gkIqFFTtPIze6WsP3SDU68j/YhZsdDIVZS45AeYuY0iCV23GLgkeFDKqmdyhMO/7zFft0snSA+A189pv6SxfM2RuEmJmDOmZbkh61Q9kCPbpFPgUFMoqBQggrGtshukE87MRq82Im56tVG+4cRyKRS8FD4F+bJca0buNZvrcK8fFZNDrW+eWWCqLkcfYWFr2XLWYIL96/ep805qClwZIDeGqbdCMciEEuNQFIBfBRcONys1gsckGMQNb4WLDnqSZepN3yoZ6CGbSdVTILurzsXAVyqVexpmC5v8LGdyllN8D8Hv6/z8D8I//nN/5mzixpP7+n/0ugD/zqzvC5/E8nsfzeB6/bHyvFdzecOe68mw83iurZOXZzEylTIreQ9Tmq2FDKYPajM4CpjHYa+YCUHdWMukwGvtENSp8z2pAWJlGMydYeDvBJAAQe4M3myXGbLThanTHRaZRwZOQHqHquo9UvpLdUybVeFUAt5aN51GbpK05GbS1lju7+yHhzTHjsnV4PTcYEpXGK8/yN5UTI2gzkgFUg1lmjvDYPrJp3elnT6pcHdMpxnXuTlkKRmrDm9kWfWJF0igk1RjqQ2JhRfDwMIfvdmi6iHU74m3forNZqx/BQ3BIBfjRPGpJzV3Rw+hgxWLlin6f1djMFlw0EWc+wJuMdWORikHUZreTjF12AAwZMUZ3v44QTYGgNRnXsyMWixFOKTc/7Ebc7WYI2WDZBMxcxGVrlbtvcNaOKEUQssGLrkdjM7ajB8NrqBbmuUoYksGXxwZnM1YBToBdInSociDNLKj6gQaNWeD1co+UDXajnxrcD6OwGjGAKadd+0wzJaxCeXXMLa/nISmE86TjN7eMJ/16zxCiyyaj0abr3Qh4Y3DRFM0syehMRi60A3ECfDxjs/9upLZmjMBjENQe83TP6fEMyriqFbs3JyU3gAniGTMh17nmObBRLAqRaVVRapYD1FW1QAzQ2IQX3aCfL+FmaBD0GFYuA5GV7Eqoo+g1gAkAvjmaiUVX3WedqOOyYPq9M5cUNqINx00v+Hh+Arv3GhB11eRJW9MZuk1ceJ6z94NDKDQZ3EfCW0utaM6VjLGL37ZzcVqt/emzI3YKtb0bPBaWMaoXTcG5Y2zsF0eHtc9wJsOaXy5f+94uFhWLjZmQUGW1lMJJ6rIlO6g+E0FvRNLVBHNHGOoYiafPHBeRWaMiv8hJdBdYcl+2DCMqONlKWCIzOATesEZOcIlpAZdPF2cbScNrDRcgUnF58TdjXXgYosOFLKOz9CM6RODLYUQqGddti4v2qRDxVANXGm1jLRbOqiCv4Lzhz1LhYnA/FNxo6t3jGFFgUXTCMkJrlIUGR9XQnj6RemwNH3KANEIB8OaY0ceCtuPfjZk9BtpU8/oYZSJVe/F6nuJIu5U/sdohQzAmAxHgYWiwTxZXzUi7BaWZzGzGhzNOiHuFiraRi/QHsyPOZz366JCHlkl60aIxGZdNQCqi+d3AuU/4weKAq+UBbRPR95zZFssB3TKiy8TahoPDWTQ4O+/hO87oOQn6vcfb+yVmPsC5jHkzYoh0z7XGoWT2jhrDPtW73sMZ4OPZCCsFd6OjzXRhaNdCz2mfmaXtDHDZRHywONC/qBkx8wFvdws0agUei6AVTn6tof/PkLnYx0LWHftkMgUSOcWyK7MO4P3WJ+Y85wJ8deT5rBsvqZw20d/NBmOmG/CgYkDAYq5snX20U2rfRsN3Vh4TZt4qTdfgJIa8aphOeaiTs7oy141JdbTNAD6acVLsbMGFzbhXV9n+4NFte+RkYE3GhbJ/Yp7DStFQJUFnMw7JTKy5j2YB+2hxFyxi5mLAHgCZW3PLiffro1KmO+2Raf/xmESt2U8rsOj5WjieOyNkNg26CJL6bNUOnt8XARo5hTodlP5K2FueeHslnUeAMf8/pXRjprfVwhVcNVzcP1pvsFj9cursr9zu43k8j+fxPJ7HP/zje1tZ1FyGAmY/V0hqMxL6KCCPvbrETiyPTCdSK5rFYLjrrrx1oKhDK1dub0QtN6i9CLng5czRtVQblrXB9e6YsQ/coaYjkEaDpCK8d73B7Xiyj6hio5CB646w1gFqT2EAwODL/Yj3Pd1wP14wB6Ma9uUC9EYmAzweK48j4/Q+Rugq+jhmiMiUxVzDnJbe4rpjSM11JxPjZB+LsnTIdMqFkJc1p0yJWtGdN4TG6vuzmVkm8VQuNa6Sv18ADNEhDgYxGnieApQPAAAgAElEQVSbMUYLKxmXsxHeJqzbgTvLZHCMDq3hrt41GbEYGBTMXcTD2OCyychFsJ73WF8dUDJwtmumXO8hWrQu4bIbYE3GQ98iZL5GP3iULEhZkLJBfJxhv8uQCpmMDm0Tcdg3kAMron7w2A0N+uTQpYSYLHajR+sSs6h9wD54nDURh+gQs8FVWzBmq5obVhXeFKw94Zvb8QnrZpERi+AxWByDmwwEZz7grB3RHmYUlErBmTtpKip7aMiEeQpOORYLx53862XCoO6lzRPI9Kop2CdRJhB3yyKEQhjqkzG3/O+QDO6DwaXnNXk3OLwbyFhyep2PiXoLZkEDb44ymXq+UOuLUthQFlEtQyYLap/MJILLWkEtXFHIldVptfrIxeCiSYT0Di1WQ48UBLuhRavVqIBstasm4Hb0eDs4jGqjcdkwRnXhErxhRsSgTeWDWry0RuCE0bNVd2EEyJm/w/NM5t3HM970jclos8FdIBTaGFYr1SnWyglOegiEj+eWIr5zT9bW296hz3wmLz2DsII5sQJToYCvjsdoMGZWk2ufUCBwQquPtovw8/+fwlCkvpHaZqRg6U9eOwB7CQ9jwUYfiEr9HBPFNQftOSwcF4ohF/jJu4YOrGOicjoLYaiL1uGbPSfdVtk0u1BgFctcFoONLha72xYxGvTJos8GS0+WUAGprNVTZpt4TDW0vdJdO8vc8CExga8yWg6JzKn63kYA/2QhrOHw+1jwOAJnDRefhTKkHpU5tfSC8waTMrq+L9k4ZWKHDIlw1aXnAvMwyrRYVDdRI4So+DlYdtPZl32jCkHsguA3VxG/sdrifHFEs4ycMNKA7bHFGK1SU4HWR1iFNe52M6TCC9snhz5ZfHL+iKsXexhbsHtocew9rM2wbUaJAucyLq/2GHuH948LrGYDitIMUzY4aOLcN/sF7kaPcx+xcAG5CO7GZrrPShHMXUJjEvpksW5GeJNhTUHMBvd9ixeLA2aeTKWFj+osYPCgX89dxJh4L+yjnx70PhjMXcaLNuCV2tNbKbgdaNe+8gk3fQcrBetmRMgGm7HBQ7BYK9Xy3SCYWZnEctVZ9mXLSeJmsKowB161FFg64eJd7a2XllTgPltlBCVYMZjZgl00CEXwEOwEU4QseNVGnfgIB722ZfJRqqOKTGdyskjnOaWwrM9MnXR6vyVlPL1qI6wUfHrwVOODyuTLJmFmEzbB4Waw0zxQqaWPfYvrg1UoMOOzzUqPl95lXx4b9h5MwTZwodhGQe79xCbrbMYLww2eUY8ygbrgmjSx7W4GpuwB3HQtHH9np8/TGJyq3rMueoKb0WLlMua26Mav6L3AzxJLfR6NZt7zOM7V2+lusEhF8ONFD28yvj526EwV6gF3o0USssqqKPV2dLhsfjkLqo5nGOp5PI/n8Tyex3eO721lkUvB3UjGEKNDaUXRaAPWCIVbtUFWs29F6DS6j1ldXU+5CD0KFgqnXHdmigut4qWZFXyystPuPGvD+MxTEDYkTOyE/aHBoPqKyyZgSIKHkZnLx1x3FXzNlVoMvDmyGqoinxedQQYbk7mcqoJdwORNlYGJSVM59AvNlbgfCx5G8t1jYSP+smWe+GYsWDWYxHe1yV6JA0l1E84oC0r1GJ0tuNc+2bknxPDZjvqTj+bAzcBm6cIROvjmyONdeOAfOcv4oOuxjx4f2ALbAsONw6d35zhos/o8jXjdBsRo8HicwRqyyKrPj5WMf+zX3mLxgwJpBTAGszjCrDLyNk7Vg70bUSKb0a+utmjnkfDEpkNjE9aLI7ZHire6aDWT2eNtz6qisoWOyUDgMbdkr+TS4rIdkFFwP3r8aLnH2VkP6zI+APB4P0Mugs7xosxV3Lc9tjy/EHQ24bwJiFkwdxEhm6lZ/7ZvsPIJr7phgqwATBz5+9Hh/SD4tUVEgcCKmfyO6ClEbcQ+GfhMZlP1K4oFOEZawLCS4Pcfo8HaJ3zYBWyj1cqFvP+HIJPD7F2wmGfB2tN7rTZ4rxoGehWc7DO81NAqWnKsHKZd8KiamjEzn+VRYZ/Lpmj8MK/12uep8l2ptuMQPTpL+44+VUhXcD9avF5v0V0k5BG4Ot/j3YHWwZ0NMFLw+9sOlz5jaQtaFc1Vt9w+mYmVZIROuNTeZPRaYbxsA3bR4pDIavRSsFXH6A+6jMsmTYSTWDCFnPFZSWiNwcoTqszgTn4bKzGAUHDNF//DncU+FrzsWGlINMoWYwVJJ48yWb3cjPy5wQnu2iejUa7A0Dv49pdXGM+VxfN4Hs/jeTyP7xzf28rCGSbeve8xKXGrKrpB1VSUSfX4MAq+3AXNbeCOuhQ6hNYIzpCBbw5M2rtsdUdluPvv00nN2Tn1s8/coVc3TSNPLAvmI9pIJ9Wt9jGc7tytAW7V0K2dLBDU/VTURTUDCexdzCwN4ABWG6PadpCeWrBTRXVnWZmEHng1E3wwg+YwFMwdsFb6bJ9Yaew10SwV4INZ5fdTU/Ew1thL0owr37vmLgCY9B8XreD1jHz9lx0jT+uutbWGal2XcdUy7e1N3+E3TIGdAbNFgL3lbun96PB28HgcGyx9xOXsiJQNbvsWc92pdzZiv20x/iRhfh6QAumt84sRyILxYGF9hvVAycA4ODRtRBwN9tsWXz+uptyM7djgzbHDUl/bScaZj3gYHY7aONxpPkTtmdyNDnMXsTARYzb4yWaFlAXXZ3uIFDiXYUyGCJ1iAfY9chHMfEAprFa9yUhZY2clwWhvbd2MeLE8wLmE2+0ccxdxO7Ch4W3Gj5d7FAi+OHg0ytmf21OiWyqsODvtHT0Eg7llI31Qmue7QfC6Eyz13huUdr50pGR+fvTEvwudZiu18z4IDATF8/7cReZpHBNtPx4DX/83V+xnrC1pw7tIG5SbxAflRctnbK7NXAGrln0SnGkvrzUFj9GomwCrh5U2eSthQsAeWa/N+FIEJQObmw6fvl9PGhdeR4O1z1hpUz4VwUF1DVbKpEo/aBJjjT3dRjoeFxgMR6rnayxsKHQXcCZr7OkpuS4WpdOaU+Ui2puJ4Ne8VhkLR6PRkPk3M5vxyaIoBRpKOBEkKzh3Ge8Hj85a6kR8fS5I791pk/tm8NjGajuT8bCfffec+p2/8Q/poCcOIZKzaLAZy2SznQpzk+2TyXsbCn58prz8AGQVuOVS8DjWQCA2ZkPmYkCXUeBdzwvnlHu9UMtkMYRX6IpabcxPxZz3CdYU3I4eQ2aDuVofLNWX6RC5iJxytLnIbQLw/pjRWMFVR4iHwUCEzO6HjDfKoPghrZXQZzatedMVrC3L7JhPzA5vAA+yovrERWRIwE1fphCo6vJplDCwDVxw9vEkeASq0LHgVQdcKoOjCuhMosvumSswUpTbL7gdWgxJMI4W6UidxZiZK/35weKqKfhpbDG3DV4HRy2BybBCCGPeBLzbLGlVcQscokPIBrefNehMRmcTrroeiyagbdgk3+9bbI/txFTLEPxfD2e4bAJahUZyATaR1wnA1BRcWE7ADPop6GzGF4cZPlkc8CfXj5j5AKOTbttFlCJ4f7/AGC06l2BNxjF4bEc/ZT+nJNgXh0c9npk9sVQEBQ93azwGNzF41u2IPjnEzHN82QTcjxYPwehGR9A6HluFHbypmh42d5mpLdNkm4pM77uNgk20CIUN1TpBrxztMPZ6Tzem+jkRjly5hJvBT/dJAfDDeYYTNp1rw7gzGaOx0B4+Vi6hT2QKvWgSdRcCrNo0nettrJMpj+PMR9wOPF/VovvMq+1Il/AYOBm7BbC6HHC2HSeyyTER/kEAHsNJDzJ3eRJ76h2Puc3YK+QztxlrzwWvTxTWhiIwhT/7dO/wqqP3lZeCyyZiX12ndeGJTyzQUwHuYacwIgM2oKlpKarB4HkMmbnluXDD8pvLgLk21+c26b1INiAA7Ar1RGR0EVIjKYZQ2LvDDMN3ZHA/w1DP43k8j+fxPL5zfG8ri5g1cjEzRKVRVWgDGrN1llTQ274qt1XdbATnnrzrrJzpt8cMq7DWq5lSVGPVZxR8NCf8NGbB57uM9RkhH1YFmjWRC17PTq6o7SzAOAA35Fwfk8XckqqX9H3PfMF1SziI4fWY4g8XTuAXbKRdNny/PgEHrQ4+XnDHwEAfhTB8wUMQDJkl+sMouGwZdp9RTd143thg5PELlN4K4FGzLYwwk2IbWL287FhVPFWMexQsHZugfTKYOzqGfnawWolxl3TVEEa4Gx3GfCId2AXQLQMeg0NnMz7oCNd4KbgdDebWYW6poXhqo7IPDvtIqKgql7fB4o9Gj8sm403f4rIJ+GhxYPM4OFYgWqUckoUTmv8xP0MmQ7m1T7q71B1iJo/+MRh8PEv4wfyIH109YP1BD3FAGoB+4zG/CLALIG6BV24L12Qctx5NFyGGjW9rMkQKvr4/w13f6fUTjNlM51VA25KqDC4A5i5i3oxom4jb7Rw3Q4NYZMqj2GpVYMB7d+m4m1/5hMYY3I2OVE3dvZ57qLVKvW+obaiN16Aahm20WCiEVSCYFTZqAW1S24RO3XHpuuuYHWJpB/IQDGZZcO4TZpbmmPVvqz7gLlj4yJ11tbt42WbMbZx+NxZg8wRS6pPBqy7AS0FneG+ELDj0DeL2iDgIlu2IuF0C4N82ej5MJMW0Unk3weD8iSbhsknwotWLALEYPAYNUNOt9yFRHf+iKzjzJBeEIvi699Pnao3ScgufXYOCF22CM4TErhvSg83ocTcaLGyGc6wMq+tyoxDW0mlQm8nYJ6rrOxsxc3GCuOvnrC65JDEUfN2Tsv3hd6NQ39/FogC4HTnJsrRmIM7rOe2B70ZMSXcA+wydpWPk3cDJk/oDWoATGmJoyZc7pul9uHC4UFjnvClYeYaibNXeIxUGB9Vs6seACcY47Bp1nkxYuoTHYGGkJmqRKeRNTZgjJFXxTgPgquV7hUxtRa/6h3Nf8BgEAbTPCJkwEQCczzPW4OLzqD5ZRmRiXh3VMbOAITNnnjfUkDnJVBaWFWZmD+kUvHQzMF2MnPIqWOQ5DhmA4TUIKrRaKyy1VSwWAC6ahEM0+HRvEKNFIVEIL9oBP9vNkYqo1TiFSD/dMaDmVZfxgU7e11F1LJo8+KYnJl/zkEe1CX87dPimb/CiDTDgdemTwRYWK09H2/cDdQWtKehMxrzNem/JxIbaqoU5AKx9xOvVDvPliP7RIUWDY++nfsP4hjqRfvBI6h21Dx6b0cObgrNmhAFhuaVL+GzfobMZl804hWa9Hfy0cLSakDbzAev1EQCwHEe8aEcMqaWYqwi9fwSKdxNGugsWzhAOOdcFsM/Me94mwSwZaC4YYuF7VSv3c88Fep8EC0ffrEOS6d42IIRjFLK6GTyCni9uOOyUq/1uIPw1V9YSwGt02SQs88mepLMZQb+OucJafN9t5EK2UM+kbRT0hwYGBR90UXuQBV/vlmi+SBiCw+2xm96vMVmfVS4adH3lvw/BThvHKEbz1SPe9B4A+xO3I3O+x+k+yOgmAWqZbE9uh5NF+cwKFmqrMlMdy+vZSNZV9oT3oqNdCpgPPrMFr7qIXllMhHQJwY3qzDy3CY/BoYB+ZPW+2Uc7XQOeY84rZ54w3v3oJij3F41nGOp5PI/n8Tyex3eO721lIaBauVcX1KqraNQOIBVRNg9/P2Tg023GuhW87LiTvum5C4+54EVndMcH/Ma5w5knTEMueMHdIHjVFfzJM2bvbgMNx9aNMpXUBqOamsVkcXZ+xKof8LPdEr3ueIETgwMgTzsVYD+y6rhsoXzvugsrU17Fr69Ozpg3A6GyD2YZRcUR7wcylsgPZ971umETvbNqLTAy5rI61m4jzwNzswu2gRDfj5a0NoiFDbx3g8E2sCFejc7OfYXMWLkQ5iHDZRdpNJcKpn9bw53t6xkwBIewA3YPLXotrdc+0eBNd9Y0dKP1RYXnanO2nkdvCm5GgzfceOOjOXextz11LamQox9UexAy8FXvJtfaytryhmZ7jSGMU3eIzBqh3cKlZhg/3M1xf5xh5gMGzbjok4WRMmVz1OZuyGx09sngfpyjs6fXZ+yrw2cHN+1arTBkyQmv58fzgvPzI4zNjOqVMjVbO1vgCyueVASDcvarO4A3BbnwWA7g7vlVl9CMPNYXLaGeQyQU02fu4DtLttWHHR1/Pz+4SXXs5aTE/sN9O7nFHlNlKfEabdUQ0kBhyixT9oKVAoHFqHqjep76TIuQMRsYYTWwj2ZSQm+f3FMrw4byIRkcR4OZJUvow2gZODZQQwPQQmPlAgY1QHRa9RySwZlLaC1tPlrL6v7rvroGC5wkfDKP8KbgTe8ms8BWG+AFggAiDef+pM85Qc0ZBsAmWux3Heaq2r4ZPJaq3jfwk/VH0KZ2vTaVNNInM13XXnPYK5MSYKW3Uw1NrTAOSXDdZJQiCqedIKufN763i0UsZUppa1ydgE8/Pyaye2recMiAZobQojwBLzre2AVG09wqxni6CIR5KGy7G0XT2AhL1WQ1wE4PQtSJe3tsYaTg/WGO9wPfuApuGtBL5n7khL1yPPalJxtiF+hB1FmGwFzU9L4CvO2V3XBMuGgNztX5FdCJzdHps7H0t7pR62U6fNJyhHbnhKUWjgEuVk59i/sRuG4SzjzZPSx/OfmELPi6PxWsnSl4GM2TYPk6oWOafAHCVV/3BgvHDOVv9gtcbvYI0eLLIwOoNyMng4W+10OgjcNcJw4AeAge23CygvfCTcNarUu6JzbMDyOzynuldc4dJifdxpAa2Si0MeRTznlNMqzXn3bhBo9jgz96M8cm2uk+Sco0+ngW0JiMN73XCY7OsqlQsFWt3EWAn+6Yfb7ScKDxCTqw1WQ1TqLAH2xn2H36GtftAG8yHscGu8g+y0ptqI0ArfYNvu7dZGmx9pwIK8PICPsgvTqfWuF9WRfgUL59/rbKCur0egDAm8HhzGVctxFOgBE8D2uf8FXvcKEssm96BwNaxewjBXcLfa46yxTBKnarLCwvMuXUPwSHhbKxQgKCwqGdoR/Wyzai117PZZOw9nQVbhsKM/dPehxfHj1K8ag54q1hABJzxy22GqgU84k9WQO9AGDlE0ohg7DeJ17Y9wxKp7dS8LJN00bnmEgZToV/vxL2Sna6MHeGk3tNm6zXobMZQ7a4HR2ibnRWjr2h+9FCGp5T5IKVCjoB9kFetGESR241qOlmpG3LD+YjVv4J7/3njGcY6nk8j+fxPJ7Hd47vbWVhRHTXz+jQxgiWarvRJzrFjgk46JaujwWbQOO6zejww6WZyr4xM2u62obkInjQ74VM64L7gS6sBvSmf3MEcrFqFVKZJpjyM77aLfA4tPj9zRw3A2EFim+4E2nMKWyJUEhRdlbB3VCw8NzJPI6n7IwavNKYjLuBWRzvepl0D+eezqF9KmoAyNe9HaClLEVEBbWxTogKwNSkf9VlzB3tGGY246rt0bg0Ge7RKZXvlwujSF/PaCD3pjdsujuZsgwA7s5XnsdyP6qQMFqE0aJkQlePwdKVNghuBtGgJODTvcVlU76VH/zriwEhG7wbHDOZHdDoTr9RaOq6ZdW5j4IDCO9UMsD5ZMLHne3KMyPgVcdK8Yujn4J4WnMyeLsZyHapUMAf7XnPfDCDZqhT+5AyRVlkNBW86Y3y5emCnErB/VB1K7UJy/djfgGrii8PtEqZ2RavZi28oaANIMRwTIz+vBvN5CpLzY6a+kWLS5Nw2QRsI8/VV0c7sXp+suVF/2SRJxYV88gzrkoizx8kQdwMRsOH6HZ8Nzp0yvi5HQ1Wqkn67OBUw0PCxIddVBdZM2VC1yyGXaQOYVCn1JWKIw/JwCSyqYbE+7VCuBmCTgq+PHoGKlnqCj47zHDhMz7YzbDqBlx1/bTrfrRkGFVyydIWXHZRRXnUAG0C76dG9Q+h8H3JKyzKmuO50MjxSeRYDQG30U7PP6GkhJVLU5ZNZwreDgb3GhJ1TLRrIdGmAGAlF58wDkOWbzHBql5GAMwV7gSA25GGpWs1srxsIqxY3IxWWXIyWer8ovFcWTyP5/E8nsfz+M7xva0sSsGUs3CMGdkZdJb47dxxl+8NKwKA9NiXM+5G7gc2jS9bYtSbwB3Dq1lVLHPnWXLR5LmqhOR7ky7L/sXKAzc9tRqdZZoeAHx2aHHRONyNBu/VXO+qpW4iFR5jLsBQqNbuLF+34tebMWMzAlcdY1H7RLvx26HqNPTvE9Brn2QfAScF60ZwOzBJzzaCVqjo3oWCh4GU3JVn1dQYwZ8+D3jVjdhFO9kOzGyClYKvD3MYYSXwGEjpW7pTQ72qZBeu4LIpeAxsclaaZZ8wZYrQKoQ2FF8dG7y+X2FIFn1ixOwmGOzjaTfXWX6mr46CD1T+KwL8wa5TzJgN/XNfYA3viXe6A75q+PdvjmzUO3PK+OiVtPD2SJNIJ8DKCW4Gh7tR9Hpwn+WmBqMgw+B2EAC0AGm0Gu1Twc1AS+q7gZTj645WMgWCL/cZx5hx1tBpoFq6AGpTM56qzCFlnHnBbE5l/pujYB+BT9Ws0YpR6iaJHDeDTOSCM8X4a8/CSYGg4DGwib4JgouGhIXqWACwh7RugBC4s30MVvt3p9jcyybrvSvYRpmotjNbsFRr7h8vqA+hEaDgfhTE7HDVJHRNmu4J0m3d1NPyBvj6aHDdUlW+jQZ8BVbSMbOC2iUBCvCuZ1ypEeBCaLG+DcLqBoKHY4fP9gtsVR8xt0Up4oJ9z57bb7iEV92Ih+BxP1qcqzni5weLD7qMD1qSLe5Gi86YqadzexS1h2fv56KhMaBTJX2Nt91ng/vRYhNo4W4MlfAFUBsQ6knWSixY+4iZpQbISsH7wVG75NkHufAJu2hwFyzO1d79bnR4UMV+LsAKBZvg2NhW08BcgOs2IT+pVn7R+N4uFkYY1rMPQGctRDgxfXNgo9gJMx0+WfIkTRm60IalI8zhDXDVytSsDJlWGlcdtQbeMBN3ZgXvh4LHgRqM647Ny20gbLQJGcco8IYX79O9wYPqJFLGlF1dcx62AThGqA8NP48ToAiwLwX7mPDR3MMb4FXHSfN9T33IqDBTa5nRURex+u+7vuAYKYJqLRTCEryanRxmh1Rw2RJuqvkKx2SnMhc4CbPq92rDruZE7yL9rFrLn20C88P7zGvxMAKlVH8u/s3Kc9H4u/eCXVwzhzxjimqtt/QuyuS1ZeVkiREKy/eHyCY0RYacfH9tkWAF2KfKujmJM5kHTljpvCm4V++r+yHDikXWIvx9jwneBDBZoLzqCi58xiZYfHXg92cO+GBWJgiFx0ooahPIcZ9Z2tC8njscY8Gnu4DWGFhjcX/I+HLY47dWK7xUb66HkfdDKmy4HiNw1yc8hoDGdKhRG0dl0a31PTaRsE3UhjxAhlBQ/n21eikgOwn4NuxwSIIxyURUAAiPeg0+ykUUNoG60CrUoWSDOQwOsdpMFBwjyRnbAAyZEGNl0T0GmcR3NYPjuuUk+m6wSiJh1KoT4G0kVFWFbiLMpJlZwpp7JQuQYJHR+ITLECbrnW00U8TsUhl8YzZ4DA7vBkvCRe9x3WZct3Tp7RNtOTbRYA+6z9ZngoI9wlXHZHCfVNQZgFca7HTdJBzVkfZuZDDUwmY4EWzE4FXLn9eNyF1xmplxItf0CbgZKUx9Pzq86w2sAeZWJuHgmR6XE17DahHyTrMvvHrYXbYDLmb9L55Q8QxDPY/n8Tyex/P4Y4zvbWUh2rD0Brg9JuxCwsJZLDxhiJk7NXUBUlqvam0L4G4oGHPBdUcuu6tQQ2EFYIWajfc9Y0OXrmAXgaSvXxvOnQWWng24hTNTlOibY0R7ziZg5wDgyS5iKFOexjESRrvrMy47NgevOoOFul9uw8lSRKTgXvnBF63F45DxZciocZUXmlXRWmZ27ELGRWvVmKxWTid64DeHjJUXPM7YqL8fLb46kka8cB4Cls6dIW34mwPPReV3z6wmdA2EyTZjxv0A3HqDUspEoU0FeN9n9KngvRFN6aP1RoZgmwDJpJCyaX4iKtTK4l6rmYWjMv2nh4JXuhsfM3eijcnIIP12GwX3IwAUtZkgHNVa0Uat0nwBvD2SdtpZ3leLJ3T0mgQYCnAfDB5Gmj3mAvzkMWDlHOYWk23Im/6k4n3Xs8n7yZJU6W0ouGppiRGVl/lhO0ejLrEANRa3A3UL9XuM/bVYeMJrrSnTrrHu8AFCEk+pqk4AazKQ+Nnux4LrtuBly4yGCnnuIyHVuX7+G1UizyyQhXqDqlGpDs1W8zO20eBupC1JrQrHTF2MpJMTc68JfQAmS5FdISmlZkrUeNEhneJ9SQoR/GRT8IOFQQGhtJXLuBsNtgG4alllWCloXFJjvjSZBJ4g0VOFwvhZi51Cc6WwUqCyGvhoxmpxzISfDslM9+AmCOaWGgr+HPjqAHzQYbLbGDJ1JF7v3y8OBh/P+fOZNsmNkCAyZMHNYHFUzO9Vl6Y5jqmVoi63gAUrCC/A6y5On400beBH84BOFevVPeGiiRizxVdqf/KLxvd2sUiZGPXMCebOoE8Z2xjxet7i4wVL6YdR8NmOT4QRYB94Yatv0fs+IWQz2U9XXjUtqflAihBmGjIv+qsZJ/FBYaXOkA2TCif+M2W3eGNxiAUHMMN3kAKBaGASoSjqKQSdFVixE+d+rjncPOaCm56LmhOKx8jRB7whI6pqSUSYR86gpIhNHnA2LvGio4WCNXz9fSgIpWDhDBYe+PJo8Qdbg11QS5FG8KZn/wAgfv/NITPjPBSoPRC8oWXIzAkyyOB6GDPOhAvX48gFuTKR/m/23izWtixLz/rGnKvdzdmnv31EZGRkZVa6XKZQlXCLwY/wgHgpeEEIWfgF0Ug8GPGCQEJ0EgLBkwUIkEAYFRYYS3SyXchSGbsKsqqyicyMjIgbtz39Prtf3ZyDh7H2PlFQGRGWjWQnZ0ihOH8g3WoAACAASURBVGffs/bq55zjH///j0F/nJebwMwL9uhbrWbY60PGqaX61vbWGi0dF7ITKbY9VFgmfUvNVrncBK6dUMdk9xIeZDaIvFwBWF/2WR0Bx15m4sdB4tjLhJOcXodh9/xsY2JL29LgzKhi1jDJnZV94oSzyryZ/r598y6Zd9YKdNUpm75drk2adn2aYD/vZUJWOqa1PUdn1fa5VvZSw8UXHX2vd7ebXKx/s1l4BPWsg7Flqh4m7HrH5I+XjtLfCcW212RrL+Pkzlrfruud2zBgzYr6RUFQdv22036g3QTH283dfdnWLyZpL5Ss5U6o55XDNO4Gtu2ACnY8TRSct0ljLzV9zbY2ZLCX8v5Y+gWZ9s+M2aMfZneLnyo46p459J3bUf8ddg3W4Y6dN0pk56x71NcNnMBVnRCi3eNVJ9y2KQOvvfjXfLuOctM++L5mVgUh9JNo5tn5dW1ZVZE7Ldf2/JetwVyHWezt3d1ucTROTSR53Tge5HFnJ/KwCBTe6oaFUyZpMN1NXzN8WjZU0fFssKZMO14th0T13LSOX9ivyHykCV8MNN3DUPdxH/dxH/fxpfEzm1ko1rNiK68/LVNuqo4fz2tyX/CwNDjmuHf8uqziziwPrNDsJKEK8GIZGKdWHMy9rd6ntRJVe8jAHGbHqVB627e1TVQu+xajhRdUlcvKMpnD3FaA81ZZqhLUmE43Vcey63aF8JMiZZDYSnnTn8x1rX3RV8i8cLXpKH3SN80Rlm1k3sKD0rOXCVWfAaQOTkvhYmPfc5gUDBNbpd/USheVdQgMvOe08MzbyNka9nOD07ar9WVnmVQbt4yZO+X3IGEHe3266PAiDFNjtRzkQpl4pnUkd32Tplapg13XdWeFe4ed10ezljJx/fdZam2EALu+da+fua7vbFtcX2Q1BbtpBh4NPJmnv2fgnelJtrDJvLGmWI+GjmGvB+h6htS+t/83Ualr0yiEeNc6tg5QJFas3c+U12vXa1hgmHojL0TdaQdChCiW/QwTW4WuwzZ73BaPLQO4bpUXy4rceY4Nq+Qgt4L8eSVcVZEyoc/OhHVnEIlDaKLx/idp5KqxLLAKlr0ep4pkVizfsgLNrM8YbNr3M9kynR4WkXWA28Z0MieprZpfre0Z3SrNq2DXIJUeTkms+L1VLS9aIz/sZ5YZL1rTjDQBzoLbtXcdJnY/F73x5sDH3g7GmhCtg+wyu5va4LbTPKI5rDq3M1g0iNlW9q9rx2GufDgbA7Z6d3cJDJkzg1EvcFY5Ch8ZJ+aYa1YjbmdS2PT3LipEt+1TY182bSAVMxYEe17aTii98Hypu+z5OJeeaWmw0zg1JOS2ER6Vcccge7FOSUT52jD06nCzMalixlVjY9Jxbn0qBHZsvkNRxmnHujcSLHrIzYmS+bBTlb87aBlkLYO8pW2/uJ/Fz/BkAa/WFcd53tNlhcw5XnRTXq1SZo1j3ekOX8+9URqr2jykbht7sQsPbYzMGyVzjiJxvUeSidNKL0y7yLw1EU/qEg5zduK2y8ogqavKun8d9ZOTsvV1ij3s4Hu3Ts9JmfSDrg1wW0ZTmchuwkjcnfX5+3vmHXS1ibSqrLqOgyzddQjsWZ67BkoHubBsHYuu5aa3GtmEyFHuOfZux2hJneO6NqZL2ff5Tp1BWeNUzF/KG7U3d3BdR2bN3QR8Wno2nTLo7dN/MG04LlJWbeSzzYrjpGSYOpoYKRKb2DZdZJg6holZXlxULUd5yryJNmn2NY1NMHuKhwXctnDVW82H1O7Z18YJVbDJJN2dd38dRNjKI7euuA/KnjYbbDKMeudxNcXgrNPS9di34we3NlucFCmbLrJsHXvptu4E684gLS9wmgrT1vfutuyEnrNGebHcOhubXX7qrAmWQYyRZ8N8V0fZPTd9/SfzwvkmoKqMUo+qwSOxp3vv9bWVkzwwSc1HCUzAaIPvHZvM7F3gIDMG0by1QQsMBpr2nmHbiNgkYc+OTW6bvnPiSm3gC2KY/KD3dtrP7HewfZ7kW08u6SGZu++zzpO2mFr0DqtgFGazHTHb7y2Md1Ebowj6wVu3/ljwZnPHjlr3tvVlgrWkw6DL0uvu2MapQWmXK0/p/Y4pVgUTbQ4S84IbJjYwF337g8LZ7+O+eVHbWd/srRWN+a/1UFNPYz8tTHz5dgNfH0WGyV1tZ97K7hlu453V+rxNuKyNMZk5IXGOgTdGYt77yl3WJpDd7tusR4Q8sa6L6+B2zCpVYV2nO4jup8U9DHUf93Ef93EfXxpfKbMQkT8B/Iaqhs999ver6v/1Bds8A/5L4AG2IPpzqvofisgh8OeB94DnwK+q6vRz2/0K8NeBf1JVf63/7N8F/lFscvvfgH9Rt1aqPyVUIXOe67rhYWnZxeOh49HwhNvaYJ/cw9nGqloD74nYTH252VpnCHWEh2XaF5etKIVY0XzeBJIiYZI7Jnlm3HelL2wZtGOirEjm3G4FB5a1WF9gKxBPa1shlomlllWfxrfRVvJtVB4OHFkm+NagI4BVF1HuevuGqAQ1AWCI0HK3IjivI9d1yzq2FJLwqDQlWxOU0lumNW+UvczhUhODTTJbMS87g4tcfw4Rg2+uevHfMBUOctcXaG1/qYOlWsYhCMPE00YlojzNh4hshXBb+AGOy4SbqmPTRQaJp/CeZWtNehZt7Av/slttr3vYadXao7lqYS8zQ8KbWvs+JXa9tzDaqu+XvjUG3M+Fl6uAIDwcsIPTolqhGmxFuLV96VQ5yGzZXgcTn62D2W9M68BR7jjKPavO7tuiNTbLtli7FYJGtWes0zvLk5taUYxcsGVnHeV3xde3q8hlU7OfZhw4Iz2k3u2ad236Yvt+ZpDKbWtCvUUnu/7eTux6zFrZ9XrYGjrOWyvuHuW6E5CZcNIgs4vK8ZO1kHkriB/2+9m6ot401jzpthVaVXwqNL04cJwoo1S57qGjLfc/61u8bp+Dz1bCrLFM8LA3d1z25okmNIRx6jjIlCdlNEuR2qCzZSdc9GLK/d5Eswowa0zM2EXhx/37vW22tO/vNB63rfBiZc+FqvK1kZ3rYRppExh4x1UvrDzMYa8XwJkZo8HR53pn6yEYvDpOjVCx1eec9711qgCfLY3QUAXZZQJlb+ky70klEUixgXTaur6/uGVezwYm7oyYLU3o2zqnolRsC+px1z+l7nu9DBPr29J0nnWXcF3nXzSkfuXM4n8B/oqInH7us//kS7bpgH9ZVb8N/GHgnxORbwP/CvCXVfUbwF/ufwdARDzw7wD/6+c++6PAHwN+EfgF4FeAP/kVj/s+7uM+7uM+/g7EV61Z/Aj494D/XUT+tKr+BnfQ2u8bqvoWeNv/vBCRD4EnwD8G/EP9n/0XwK8Df7b//Z8H/jtsQth9FVAAWb/PFDj/sgOOaqvBp+OC017hPG9Ns9AE5aZtqLXjOLF+giKw11uCRGyF+HwZUYW9zFsxutnSA3sDQWefba0fRqmt3j6Z299l3lbNUR2KMm8C2tNBF20gESH3jlUX+wKnY5T2/Ss6w8+d9MaCqdt14DvIhWGvfq2C1U6y3oAuVWFIyqt1xZNBQemFt70b4CK0TJKUqMphljFK+0Jq3bKXJgxTo9pe18HMBQEnjlkTuahqHhQFTuCiqpk2jqM83VlCLFvluuo4LZPfs3L2IqYoj4EqBEZJwklh9YTXmw1Py4F1bOsiDsdN1fUGhxYHuefNqkHEdCpR4bJqOS1SxqlwUSnTOuxWiV4EEeHH85ornTNhROEsQ7H6xR0pYL93R3zbi1/K3qKlDspe6qCn+JrBnPXyuO3/dlv/eVJ6qqC8XHaMUm+28b2ly2qpXNctIaakziPA96Y148Sy0banXDZRudi0nJZpb3Zi5IhtremqotfiwKOho0wKNp2tPF3muW0CsY2kzvZ9U1uPj0nKTrHuBQ7zyG17l4V2qnTB/sb3z1naK6NXQXYmkmCF19RZEXqY6k5Dc1aZ7mYvNRJHUOGmsUKruSGYnqSJyqaD12vBu23bYdN9jBLoej0CWBdIJ5aJSJ99bGm6lunTZ2ywEeuWt6XM+t5a47pSCu/YS5XHpbW9rYKynyqDxPFiGdnWrT6aRd7fSzjK7Z1rgtWnQHixMhuVdef6d9+2ereXJNy2blcTe7G2fTwqrWA+b00T4uTOav6mJ0aYRZDd2+sq4CXhvLf2L3qKcKbgxbHqzAzyQW/RcVE5jnLlMIu0hV23zEVOcyvsrzrPYdYxyRqCWrZwWWdcNZ5F5xHulOCJRBZtyqJNd+2Xf1p81clCVfUviciPgD8vIv/Z7kp/hRCR94BfAv4G8KCfSADOMJgKEXkC/OPAP8znJgtV/esi8lexiUeA/1hVP/wp+/kzwJ8BKN0eiRgzqA7Cuot00WABL0IuHo+wCH1+H8wVNBW7YU006Ggdu76RUcJB7nfMkySaiCvzwifrJY/zAalzXFYd+1liPQS80EWDvFZdYNJ/DrAJHdcs+Joc4YDvVxc8c0dUwTFvO1qNHGUZmbOJZuRt0J13kYhnLxVCtMmsjUrX24bU0ZhGY0l5ua7IxdOpDXCpOEapR/oiWxdtEFSFedtR+BQvQhU6XsUrfi59YC6nqaMKGa+rDe8NSn5uUuxehoPMUuEmKMPE88lqQ9n3QSi8Yy/zpM6RRZvM2tjrT7ywn+R8p35JogkHOmHZZngxlljhzQplWgcelOmOdPD9xS1Lt+RInxAx8ZpNatvrasXygyxlEA54UCZsgnJbB142a2Zuxi8VTzgqbJC/bTquwop3sj2aGLnaCJPcsemhqqJ/qbeDSBvvGFsAF5uWxAmFdzwd2kD8fBG5qhuiKoX3HBaOcT+Y7aV2bWZ1JKIU2CSylya8WdecFBlNUD7brDhMit7fK5L7OxCgiwZXOmDR45raazW82ISx7ky/c9i3362CkohNUPPWBtdJaq1+twPgtLFF1XHudgQM2Nqt2GA/Tg123OoFfM/Ay73plrbw3m1j/WBgKy4zuOmiAlErvm+1TueVaR0+H5mzFrxdy47ttpeay/LbDTs2lHWIt0F+1tokUSZCEyPzxqxC7E5pL8Ls25OWxloDOCoMMgxq5IG9TLhtjB24l9lxjxJ6Rpjt72xjhW7ooc3OrnHV/82gd5C2idSK0VeV2QSBkSxSUR4N4LQwJuNt00O3Hdw0rm99eicaPavv2EqXlfCwvLMgumlMzBm197uKjsuq2DHRtr5UTfTsp5Fx2jJJW26bjFfrwpyMP9er5PeLrwpDGUFS9SPgH+z/+8WvtKHICMsW/iVVnX/+3/q6w3bS+Q+AP6uq8f+x/QfAzwNPsczkT/U1lP9XqOqfU9VfVtVfzmX4FU/tPu7jPu7jPr4svlJmoaq/9Lmfl8Cvisg7X7adiKTYRPFfqepf6D8+F5FHqvpWRB4BF/3nvwz8N/2q9xj4R0SkA74B/B/9fhGR/wn4I8Bf+6J9O4EycVxUNRdMOeaAZ4MCwWwuggplklIFS+1s1RuZad1nCZ7btqH0CV1UqmC2GarQaKSOkSoEBj4hFc/LekHdNOSa0cUBESuCWvodiCjTpqWJtj8vjlEc2Oqw6xhqySj1rLrAay4Z6YhxSKlCx21X84wBx4V1dXu7bpknntwLo9TglcxL75SbUHXKq2aBQzjJxgw/119i1gTaqHwWb3nQTQwSyZI+u4hsukCrgUYa2qjc9p4Pt23DldxwtYGD1T4Tn3NUJCxbg20Eo/OqKi29jUJn+zoqEqZ1x2Vc8CjZI2qvqQgt77tH3MQ1IkIVOzLniZ1S+IRhapz/WWNq5HkTaKXlWA+Z1h1NMIPIMnEs+wL3Rbth3iZkznNamNHivFXOuyWttEzihOu6pfC+f55hJIVlPBo5jzMOmhHjJCUqfDBJeH9kK+C/cdnSauS0yAg9v+J2U1OQcJgnux4kTkzrsJclOMx4MhFH7g0GMxsOYdVDopkXFp1luJPM9RnrkFFqxIc6xl02ONzpTuDtOux0MY1GZk3LXlryaGDF23VncM6WbBHUaLVNr7cAI0R8utCe7myr6U5ttbwFAyNGHMic4LbZaGqF30ECoTVKaeqUwz5DmLemfzECA/07ZivkeaPsZ46oyiZYxvJ5THtrAVP6Le3Zsl/ou0GuWzKXWnatVny/ru1e7mcGc+XO451lRWD08USE12srNn++pfKqhRerhv0s4UHp2M/sXbmppW+FDK9WylEhfTtlYdUZ1bbts4rr2jpv1kH5aB54Z+Qpvd2DV6vY37s7Z+oodp1F7fq+XpmOZD+D2Arfm0YeDewaTXuXhqdDo7AbxdvozWbnYirz8Ln2wqkoqYucb7LfMy7eNtZOOPYZyVllTttbOvIXxRdOFiLyH/HFcNO/8AXbCvCfAh+q6r//uX/6i8A/Dfzb/f//BwBV/drntv3Pgb+kqv+9iPwTwD8rIv8W9kz9SSwL+dK4ru0FzDTf1RwOi4RR6pi1LXuZR3srj07VxEzdXQ2ijSkRZaMdF82MY9njYZnRxS1v2iCjUhJUlVQTxj7DIRTOMWtMlNb2JLJ1/JxfggZy8dZgKLbs+xJVuOkqjuWQwyynCoEm2kSz6SKzxhg5Bq8FmujYdIEu8SRBWHWBq7pDEMZSMErs9r5dt/11tV3nzvFY9vlO/F2qZsYf8X+CgffM24al1pwkQ97XxwxThyB8upmzkZpUM/Z0yGGas+ha5o2wEKGNkcM84aKquZUFeY+T7klBUOWjlW3fuobbLu/PucNhkJPv6zhLrclDSk3LImScZPnu3kzrjsw7Bl3JTJZoGNJqwl6a4JTdYDoQw/1noWa97niYF3gRTpKhWWokfmeNsZ+ZluOsNnDeIaSa4p1jHQJebDC6rM3S/SasuXUz9sNTsq2FOMoyNkDGvN266XaUiekeqhgpE8e8VbpaqUOkdcKq6zjKE/YyYdbYs6coV1UgdVaf2XTKbdOSiGPR2j30klKFaNfO2eLltm1oNVqjnF6TI2y1E3aupRderww+ezTsLd/73u1O4OUy7CbASebNHbjf9tWy4+nIrFK2durTzASMibOBd9luLcmF09I++3RhtSRVeDpyjBKDMupgnkkDz84eXjEICawOt5d5lm3c6Yk6hZcrg1uPioQuwlVtnk2rvtgxyhwH/cLoolVWlWl2ngxsQpk2d7BpfofocNtrnVInO1uNqOa1drEx+HqSe8relbqLvWCwf52XbWSYCJ9DCknEoL5NMOaWF9MCbS1yBh6u6i1jS20BmzguKoOVHw1MW9KpwY4PSrMyf7U2O56jArZTbBsd55U1ijKnXpuYj7LAotuKjm3iXXVK6sxqvek90j5bwm0TdhPyT4svyyx+63M//+vAv/Ylf//5+GPAPwV8V0R+u//sX8Umif9WRP408Bnwq1/yPb8G/Cngu9gz9T+r6v/4t3Ac93Ef93Ef9/G3GfIlcoW7PxT5zufhqL/b4yR7rH949M9Qa6DRlrErqDUQNDJ1tzh1HHPAWo2eUEhGgjGSoioLrUhJGDhjD+1nKQ7hsqnx/SpQEBoNbGhIcBSSMUlS1iHs9tXSMXElqTjK3tAQ7lxFazXYZ+CsuLwK7U7J2tLRSotXm9Mr2ZBpzp4MrDivFSfJEIdQxUBUJaCcySVP9JRxmqKqXLQbANay4b3kkEFi2oXbzs69pmUsBalzOIRlbBm5lMI7DgvPvIm8rTZ0RI6Tsl8pd9yGDY+zEVdtTSkJmTM19mecAVBqyVIWvKOPCSiv5S2P9CETn3Hb1Vy7KXtxTEqCF4dHCCjXzNjXMXtJxiZ07KVZXzRtWWvLWjY8lP1d4X6cpqw6W7IVzlPFwCxumLobfs496115DarbdAbp7GdW7I19cb8KgUQcIpZ5bRlZT4aeUQKfLpSrumERK8auIPT7/on7mGfhPf74yZivjzoua89fO28IqhTOXI4XrUFF25XntO6YxQ3vFGOaqDQhUsdA6hwD7ykTY8idNUvGrmARKybOWHuZc1x2KwrJeGdQUAXlk2pGTspaNnwjP+LRwIznjMknvdGhrYjt/O76g1xVuoNm26gMU8dean0RtiyfSWqaiIvKtDexX+1uIbBR5vo+F8b48XJn4vl2bavubcbTRGthnPb2Ly+Xtjzfy+5YWluywhaKqnqoDmxVnXtzN06d7IwiR6mZPqbOitSvVtY+9LhMeFSaOn3L0sv771q2d6y9JlrGNEqN+fjOyFhIb1aWcUWFB4OEcWqw1atVS+Edx4W5wR7k1up3S4BZtsYqDArvjnyvyL+7plW4y/QvNx1tVB4MDMMLUdnPzRD0tjEIbtTDex/NWkQM1Uid9dR5OjRW2etV7AvyprMZeOW66Xt2tOYY8LB0ffHdCvdt3+hrWivrLvJfX/wb/6eq/vLvN6b+rdh9fGX2098NsYotr7mklYYBIyQ6BpKSiuNUj/AINywYYC+hQ+hQOg1MmfPMH+FFeBFuyDXjorml1AIDZhyVVCxlQZCWgY4RHC/lE77V/Tz7Wcq0iVy4G3ItqGJKLULVCKnYW5o4642dqPQCmYQmRKYyo5GGSpbkOmAcJ4yk4JoZpxzQEllrzVjsWLYDR6MtG6mZMOIgHnAlc1ZNzoU7YywHALTScNPWRM2ZhYbDNCdxwrJNWcaGQnIelinT2rHqrKHOoh+El7JmIxsOtEDVBoON1IQeljpv1qTqOUgy3g0PAfhU3jDQESutuXQXVCxp9YSIuek6dVy7a57oI4Y+4bxbkpOSiGcpa87iOSPGHMgh49Sx6Tw3ccFTf8BhbuwhRXu7c3s8L7sVKQkdgUqWvO3m5GRUUtG1ASVyyD6bLiGipGL2LQGl1Y6BJCy6lsIltBpxK2NHrTubjCeuZB3b3XM2iccEAg+LyAejNad5ym9epfywe81pOCZ1OZvQ7RYH13FFLTWVW1PU2W7hMWVJGlKamFPHhHnXcO2uIR6RSbqDMj+LZzRuw2E85XzTM18kR1XZyIZNF7nYGAuvSITNxvyIBgk7KuyqMzuL/cw+N+zevLoE4bwfvEapff/UG5twWyu5rhv2s5T3+hHMmEP0tTNjVD0sjZbtejHrtlbTxTv21U/mLQPvmeTu9/iyedn2urdjndYds1BznBbGUOwiUT2PBiaOWwfzAdva3O9nbucptp/Z/mYNOyGriNmLbBduRjn2HBeerhdvNtEgo4PcxLqq1hCs6xl6rUYmPqFVs3Y523S7xcFBfz5buPCm1p667HYMs3kTOS1dP2knzJvIODX46qY265fTctvNM7Lq2DE5HwwSZrXVuxJncNzAw2lp1N06KFc1lN5xsYX2+gl63ipnG+MVPSgd17W5C49SG9e+KO7tPu7jPu7jPu7jS+PLCtwL7jKKgYhsqa+CMV/3/r88uL+dEGAQhyxdZKQDAoGprlCJ5GoMgWO3h+tXS1s4aC0blMg6dkySlAkjbuSWmbviRgOn+pQJI5yWeE248mekmpJqyjFPaDRwVncEAnu6x9ItWfaF04gywIq22inP/cdM4jGnHLDpDDq5dC/IZcRePKSWipyMpVaoRDbaoUSu3SUbHTOkxON5La9x4mmlJg0pA8nx6lnKiooltawBGDDhzJ3zSZyRuoK3IeegPeTYDxm4lEVoSSq7HvNYo0SO/ICut+gYxCHRK5dNzZlcEqTjo9Dwnjxg5DKmcc2sW+7uQYZd51s343F8jIjwE/chb3VAJiVLrhlywCfuYwZxj8Zt2I/HFFrQ0jHWCUduRBOUy9BxE9Zc+3PSLkV1yFpbXrifUIQRD/URAPu+5DzOmMkNQVsSPAtZUEvFOE54lOyxCQYDdUQSHBupOZUJmXOsQsdSK7qYkyDcNA1NTLhpazoiFRWdBFK1VfWejgxqTCMHZUXqIvtZzmX7KSt3izZfZ0NDrikTn1OSUVOzZkalR4xdgRdHGlKu3DkjfQeH9f9YMaX1NU/CMwberuVJOKKlI5OUM73liTtg7FKCKtOY4J0Yi0xlB3NcVYEuKge5meKtOxNyNtHgpU2fcVxWDYk4Muc4LZNdJrFoI9OmYT/NmOSeOiTWH6Y1KGSUCldVYNVrPTpVUjGWzapvvpX3rT6baAypVRdpYm9UuImsQ+Bhaedojbykb+cLkywhC67/HHK/FTRq32wro4l2/AHlvOk4TArGqedsDfPERLTar/brEHsW4Z2malN1HBZGVHmzMl1L7uG2NXhqHTtOspzDwrRDxy7pe55DKp7U9fY6UXdQ00mRICKs+u+oP8dvSdyWHHBnGXO2NnHuso181F5yutnnnVHRC3uNxTZKvbHZxFylMwezxoSGqbNsKCrUHX2TJ9vfuDStx7I1yGzVmbFnq5Eng4wykR1r8qfFF04Wqjr+wq3v4z7u4z7u4/8X8TNrUZ6QUJLRasGyX1lPGBE0MpM5G1lR6z4bseLvXC5JXE7QlgETQoxUIXImF7xsfouT/Fs8ie/g8VzJlAED9qTgQN9nphsKyRhToGJU24jy1r+g04qJPORY9mg17hTia22p4oxDDN+fRjvGUibcdM/pfE1HzTEnTKQk0FHTsHQLNszZyJyVjDiND3miT1hrTSste1Kw0Y4r/5ZCRzzQd5CeHlySs6HmVl4z5ohEE5ZuySjmO4z+ZTvjxI1RIp+473MZTziJp0xkxAv/GQudMdYJIx1TyYZLeUGntjTNJKOTjlxNujt3N+zFQ071mJksiURO9BkTHTFjyZ5OmLsZAG/jDzl1H3AgQyrtiEQaqbnQwKArOU1LDv2AT3XJZ+6HLPUpThxjjmx79xqAl7TUsmTEESV7TPu60YwzWl9z2q9/zvwbDuIxqRZEIt/ne3hNOdEnALySl4z1gEgkdBM6IufuDZ6UVmoatfv1gf78rjtf3SasupS365aBO2AZLriVU565o51FTEdkLQsaXXLtrllqgdeE1jU7zLjwDh8cj+P7VLKhxdpebuPaXTOJB+Rk/I5+oedn9QAAIABJREFUz2pbesBGVqiaVkJEWDWRZWtU8MQJP1zOySRl7FP2Ms+qNcqk4euBSjsepCVehEUbdyr1VRdIxbPoOhZdR62BkUuZtxGHrfS3q/ZZqHEIw8Zo4ZdNxQfj4a5vyNmm4TjPmGSOJiQ7um4qjrONdRMcJuaW4J2waSwDmXUtqTijSiOsQ2DZJgxTeLPqCKo8LPPe/qbo6xpWj7ltjAadOKHphQ5bQ0uAJgYOsoyrTUfmLSO7qhsG3jPrWk7znCw6Iror0LfOaLWpEx4Met2CKseFXdeLTUcTjfo76DU96y6w1zMLosLFxupK8yYw68yKp4nCdVNxJBMq7Xb9TFJnNjYXVc1pkZsVfKs0zsgbm2BtnZet9ZZxmAlm29dImqA0MfaZiUd7GnkVhGkdAL+jSv/0MfVnNBQ1vr5MGesBqaZcuCsGOmSgAzLNaaSmxRhBra450Wekaqynz/ynACzCGYkvuWk/JSQt78QPGOmQpaxYs2Ycx6xlzYV7S6o5noSkv6wn4QmN1MzdDYswYSmr3cCdkzN0x1zqS97omn33hNN4SqsVi/oNSZmzL08IBBYaQCCI5bGH+ohOOi71U055SC6eK1nhNWGpNUtnUNBQh9RSs3S3ANS6xOEI2lLJioySFVOeyAl1DDx3zxnHAy7jgiv/FlFHSk5Dx1wWeE3wJOzJgCumNNKQy4jL8BMO3DOWck0iOaFvFBC0pZOOKjZM/QWFjjiMB1Q0lOT28smGm/ZTvMsZ6IhKO37ivmfXSEYkmrKWJYuusMJ/nPPEfZu9OOYoGfTsq7dM40sAEskp3QFlNAV/Iw2NNBSyx033nL/p3vKMX+BJeEZLx4U7IyXn6/FbiAiByFo2FAyppWIQh8xZc+5eoERqXXK7ec575R8FYKkblm7BTbvP+abksk55o5cM2QcPla55Gz3jOOyZeFNScvbkIUuuuGbJQ/k5BnEIDi6YMq9L5m5GRkYtFZ10fKz2PH6NX2QcJ7xxn3Cojxhi5IW1LCl1SOasuBqjubjOWysAp+J2Wp4mRqpOWbaBy27Fs3yM855Uih0rqQrshI6pEyZJwnlVsdYGj2caKg6lIBGzcalCZBEaRi6j8I6rumapNVN3w97mGV1fMC+c75lHjr3srgWxiPK6NfPph90+i7ZFUQpnRISTLO9bGcOy62xArzperIx16MWYhuMeA5q3HcvY8I3hiL3Mc1N1lInj0eAOHnve2Htx5EY7Z+PjwjNvlE94waib4NVzGDPGqeNi03JWb1jLhkdufzfwX22sZbMqePHMW+XTcMEjOSIRx6t6xYEvAOH12vrjenGcFhk3lWmx3hkUnG9aPuUNvzJ4l4NceLUK/Lh7S9TIoB0ykhJV5dVmzVFWcFxYj5SgBkVdbIxJ6UXYS5OdbQ5YT/lVaFm2MG1sUh4nKWk/2dSBL50s7gvc93Ef93Ef9/Gl8TObWUQszaxYMmTChX9NrUsqP6HWBYLnSJ9wEI8ByF3JKA6YulumvCGhoIozBu6IQ32EEm3lLitaaUg1o9SCa3dNphmn4REbqTiXT/i6/kFS8Vy4K1ZyS6o5r/1nHMdHLGUBwJW8IGiHJyGTEZHA1N3SUTPIjkhlwFAnXLlzatYswhmpGzDhITkFDkciOa/dZ3RaUcU5Y/+QlaZM40tEHBPs3AY9D+E4PmLtVrzVH7KKV8xpGbpjPtbnIBAJBOlYy4Jal3hSg2/cAZ6Ug3hMkI4LuWbdn8cmTindARklQ51wKxe0YtnaMlwSXcuF/AQfU5zznPkNAx1zpj9m5E4Z6T5f9/9AX5C3QnQV53hJGHHEUTzh1hnBoNYlqoGKFdFFVsEgxE5qghqd9Yl8myzkvJQf0GlNgmUaqeakboCXlAVTBlqydEs2zHEccO4u6aiZcUYmJakMSDXn1m1IelJCwYhS9miyJVfRVvpzOeNm8wk39de4zFLOak8tFYGWRtd4SUHHjH1qZn9hwoUzHUptDja781nLnJY1uRuz0Rmlm3AaHpGTksqdbUPeEwdSUp7KMU00Xc+GmlYVCVZoXraB13rFIzkyq4kOOjXrkXUXaKKZGXoHvesNz1e28j3Ksl2BW3rHgFYjgqOQhLW2NDHyNi7Z7wbspxmFL4iYTqC+a31DFQItkc/aMw7iAYcUvVrarHCmcY3Hs3Hrfot9cufJvOO2be6cDkKgjZGA4nuDvHGS0EalioGzesOyzSgTzzhJWDRV32HSOlBuz+XlasOP5Ls8FDONCBq5YsmoG9AuDX57HB8zlRk5GbO25aqNvJbXqIsUmBvAvAnUMfBaLhjFMQmO78zW3LpbSgYEjdy0HS0dv6PfI6XgHd7t751wtqmp1MgwNHDpzPnoompwku0cnVdySyoZEz8hqPIiXjJtZ1w3E0SEg8QMRxNnjgPjxOx7bpqWYXIHX7YaiUDbPyvSDQmYHqiNkeZz9+z3i5/ZyaLWFZ/J96jCnMKPCNqSy4hWKxwpG53yPJ5R+oPdNrfunECLJ+W2e0nUliwZsRarExSM6KRlFa+ZyEOUSKDlWi74web7JL4k80OeJx8SibS6pulWLKo3HA6+zqE83OHSI445Cx8y8icswhmdP6CVEYnmHKUf0OqahZtS6BDBcRUWDP0Rb5vvsqheA4EiOyHGjnHxhIHbx1qkQOH2qHXJj5pfZ5ge88D9HACN1Cy4JsSazjkyN2I/nrJwU2pdMNZTilhy686ZN6+IREbpAyqdc+jeZequWHLNOlyznzyj1iWz5jWj7JRCRiDQ6JpVdwmAdwZJ7csTWqlZxSs6rcE/4YBnOPUs5IYh+6Rk5GqT4NAdsccJqWa9/sUmg0L2SHzOTM8oZI9CRhzFE5TI0FvtAoVL/xqnKaUMWIYLEslJSG0bRmyY89p/xlF8wFAOEByZZnRSM69fUbe3JH6AiOOweB8Rz8Xq+7w3+uNkmlP6A5atDfiNzqnbW+atMusci1Y4jL2uxdd4TcjVoBlV2KfkVks+qX+D1Bd0sSHJCg55Sq4DUnLO2x+ybq7IkzFNtqbSGYlYHWhfHlPqgEwGTOUKIlzIK7xLWYQzLsMpD5pnjKSg1o6MnJluWNaeQMDjebcYmnCs66ilYVp3bLRjwYqVrMi1YBiOdvYPi7Zl7FOGPmUdO9baopgr8xEjXnLOtC156g9YhNYGd8xaZBIPeO5echRPONADrtwlB/qs98Zq+ZF8hPqIJyXtbWJe6xWijlEYcuALpqFi1kQO/YDQa2PGvZXNp+0NtdS0NLwjj2k10LaBwiU8zEZMm5ar2iavtdb2t9Lwbvwm6Xb4E0g1pXA2yC61NaGqjqlpeCFvaKWm0CGjOObGXfCh/Jj34vtMfMZJd8RcVhzIhKCROY5j9lCUpax57Pc5iN9mHVpKdzfkLrRi7ubkWrCQKcfxASPJuWJOWI8Y+hSvCR0VM3fFZVcykIwUY2lO0pSbtuZH4Q0EE8EC3NaZ2etIQ9rawuIAq9VdMwOBx3Jo4j4RTsuUqjPR6RfFPQx1H/dxH/dxH18aP7OZRRcr6rik9AdchU/wkvLIfYuaDUuuUY2oRm6qjwFQjbTdkjQZkfiSItknxJp1vGbJJV1cs3HW8aSJS3ySspEZndZcbX5sq1M/JHU9cykuCbGm9PtI6Wjjhhfudxk5azbY6JpEclIZEPQNbxa/yf7gfTI3YtPa8XmXM0xOyGRA262o0yUiDhHHIH/EUfZ1VvGaZf2WWfyMveIpT/0f5Dg+oJaGy/wllc44jz8G4NC9S6TFu5xOa5puiSaRnBGC50o/ofKnbMIU73Iyl+NwROAy/ITE5XhSnKSUukdKzi0vOJ//Fu3IICEnKdIzvpb1WypfcqsvUA2E2JAmQyb+CQMdcy2vaeOaWXzN0B+xjrfMNp9xUH6N0u3RSo3DUbGko+ZBNGbX2q2IRDYy561/wVD3OdX3APDqERwn+g6CwycpguM2GluqYk6nNZmUfKJvqNpbVCPj7BF1Nyf1Jc6l1O2MvfwphZtQxRmJL7juPuFd90vkbsSbTV9Q9wP2ymfcVJHbwrFslU/dh+QyYhkvSKTAu5RnjFnHwE1Yg4NJ9oRp/ZxN/ZZNfclmMEU10oQVAAfl+yzbcz6b/VWORn+AU/+BHb+sWHDBQA9Ycs2ct4h6hnKEk5SL+occpg9ZKkQiQwoKl1BFM7xca8Nv1684iAcsZEGKqcNvuOUtH3HC1zhiAphxIvRmiV1FSbaztokoH8XXPNYHlJS84ofE8E28eg4YYnw2a2ilRJZuiVNnq+jYcLaes3AzjuIDXvFDzpe/y8noFwAjNhzqIy7cGRcKI5kQ6HjDSw445ZHs75hXUZSlWKF6FWtWsiHVlP04oI5CSzQ7HUkJYu7ON1Jx46ZUYjBgpzUP9T2iKm+55i0fceiecRSPaKRmyRWn8T0cYtmSHjLREUutWHc1QToWMmXNEgQqWTKLY0oylm7BvBsw9hle3I71eO0uOeCYSGTqLmh1zdSluHiEJ+FaFryJFQg4UhJNqaWhICPVlBfuBZPukImYY0MlFQMtScUzZ81SZvb+9I4RG11zpEesZMZ+PGaUeW6blhut2CxzIlDpF2cWP7OTReILgtasuguW1TnD/ITP4m8xTE65rV+QuAwnKZk31kyZHNHGNTerH5P5IQ5HmRyRSM7Z8ncosgNgSdOtEPHcdB/zqPxDBDqadkqWHqAEZpUNIkflBzQOqjgndSWelERyxnoIwKXOaOOGy+6HNGFFkR5SuD1SGdC6NakbsOmuuVx/SJ6MSZMhoaeojosnNGHFJk7xkvCg/AWW4YLr5XdhBEN/hGCD5qa9oUj2766LFDTdnKAdXdjYpJQ+Zda+IvUjbruXfbUnELUFKcnciE5rOq2ZVp8yyh9yGX9C0Ja6nRFjzfXit1GNlPlTJsUzAPaL97he/5gYG7wviLGBDn68/gukyTGT8h28pCiRq+oj1vVb9sr3qMOct+G7pH7Exh0x616SuREX7hWpK1jFK6o4Z1Vf0IYlqR9xPPgmAB0ViRbg4Kb9FImOulvQhhWj/CGJ5Czrt3iXI+Iokn1UA+v2kiLZp1NnjLV0QtB6B6tlfsiiesPH6YYu1mSJ1YHq9pqVdlwnNW83JZebjmn9nDI9pA1Lcr/HzJ1x2z6iih1n/hXn9Q/669YwGXxA4kpmm+d0YQVERBJCrEl8SZk/QMRTiU0iG53R6pqOmmV7TpkeciTv0rChicvdva5kg+BIGTCNa4J0pJrSERjFMYHAU3eMqk0GTzimpuKT+jdY5N+kiCO8M+FhQsI1r3A4chlTqL0fl/En4CDTjId8gwt5zlhOcdFRyYa1LEjIGeqEUgsO/QCA53pGJSsOwykZCZkbcTL6BQbO4LuxHnLIPldEKlbs6RARIWpkI2vOe9fnM/cpAw54Ft6jpePSXdDIhkJHLJhxFI/weGoaam1AsHdC5rxa/SYx2vuUpxN8kdLEY9ayQDUw54JreU4TVuwljwl0eM2ZuJJl9Fy4a3JyaqkpYkklyx1ceKhPCdLx3L1kGS5YuSml7tG6u9raRfUD2vIP2f51wHE0Uekb/5KgLWOO2I8TMklBMJq7LChiQSvtrha71Gr3bufiudU1jdScxFNu3Yx1r6N+rA9wAlEiQQLXTYPvxZ+tRt64N7yo/+YXjqn3MNR93Md93Md9fGl8ZdfZv9dCJNU0OSRP9xHxlOkhq+acur0l9SOcS8j8cAeZFH2he7sSdi7joDS2xM36I8CxP/gaieQsmrcs1h+RpadAJGpHDCvEZYSwIkuP6boZSMLB8JsogXVzTeqHjDKDodq4oevZPEE7JtkTEsm5rj+haq7ZH7xPFze0YUMXK7JkTO7HLGvTfYRYG0yVWiobYk3V3bLefEaRP+HB4A/gSDnb/C4hWnqZpxO8JP1K9oUxpkpjZ7Rhufs8xIoYl3i/h5OMpr1gb/hNUlcyXX0IGAw2zh8RtON6+SHeFTiXEGND7DOgvfIZXWyomimj4gGCp+7mhNiQJ2MSX9KEFavqLUV2iHc5+9k7NHHJ5fL7lNnxrmg/zh5RuD1W4ZpNe4NzKW23oqpfMxp8QJlaxras39r9iB3eZaTJkKqZ4lzCfvEu6+6GLmxIfEnux3hJqcOc6fL75NlDxsXj/nvOqOo3eL+HaotqbVmYH1JmD8i3mUU3x7mUB/m3+Ub8gHNu+Lj9DSKRxGVGQMge8239JZZa8VubX6Nuzijzp7RhSQwrlIBzJU5yujBnUDw1ckCsGaTHzDbPadorANLkkCI7ogsb6vaSNDkgTw02Wqw/5mj8i4z8CYJn1r1klDw0gaIOaaQhISHVjEgk1ZQhBefuEofjWj/bQUdVnPPQ/zxgLLm5nvGAr5tuRlbMwmsSMS1QLWtCX/QGGHLAUTziwp2Z6SZLIi2Cp+3h1wEHbJgjOFo2nC2+s4Oh9uUxrdQs4wX78oQNM5bhktIfMOKITlpm4Q0jd4ITy6Bvu5ckLucx3+JAJ2xomLkpuRZMdI9UPFMWlGrmmh8vf52mNfZRmT9lXDzhdv2pEVHcuwx0zFoWBOnwmjCJhzuh6/Y8V0wJtHRaM+gZgwMd49TRScdKbpl1r/GSMnBHNLokYJnF5fL77JXPyP0ej/kWjTQsuSaTAU4dC73gSN61bE5zvCac+5cUOuqNTJe9LdGUfbFn9jQ+ZC0bZu6aUZzwRI53rLQZS+ZyixJZMUWJ7POYSpY8Ds8YSk4ijr84/Tf/jrjO/j0VAnThlhAWpOkRUVvW1Yu+FlBAhIYVm+p1v0FCnh4xzE+o2hnr6gVnzRlOUpCEGDds2gkh1oTYUOSPCaEiao13Q5JsQNvN8H5og5W2oC03y99F8ERtaf0Q3TZCql8TY82geIe6vQZglJ2yql7hXUkXN8aUcTmpL7ld/oA5SpYek/gSEYdqoNOaEG0gc5KSJAeE2HBVfWSnJQ7X98Rerj8xa3XxJH7CMD9huvqIrpsyKN9lVV/SBYOVkmSfQf6AxGUssfpO1d2S+AldWNDFiln1EtXI/93encdImpeHHf8+v/eqo7u6e2Z6jp2Z3QWyYE5zrIljogQQdrBDII6JZWSIbaGsjGSHhCiGJBIhsSLZcqRgyUeysRAkDsaOTGQCIWBhEhLbHMvuwu56DbvMDHPsXD19VFdX1Xv+8sfvrXeqe7qreobpqjmez2o1Vf2+Ve9Tb9X7Pu/vfAPfteUY8UnyKxSF6zrbT1sY8Qn8BkYCknwD30QUNqPdO8Eg6fheA8GQ5T0ud58mydpYG9ONz1ELD9EMD5IUHS6tP0rgLxD6s9X30Kjfh7U5q13XldXajDBoYW2B79VJM1e1k+VdLq0/SlHECEI01Oaz0nkKgDi5gBGfvOhXJ+dm7QhxukaSXMSYOtZmFDYjLVyi943rwdO3bdZtn57ZwDMRhpw075OWbRBF8EoCXDIVMcTpZYoixkiAtQV5voH4ASIBRZHRiy9SFD3SrEMjXETk6qHa6Z3Elgk58Br4JiQrEqLwIMudpzCzryz3/xrrvXP4XoP5+n3YoiDO2+43DewLnseFcor+JguIeOzjKLPFHImJWRO3D5bTE6R5Hz+KmOMwM8UcMzLHeZ5hgxWwrgt1aGZYTU6z4c8jxrhuy7ZBalwVZmo7XGw/wr1zr2fFnmEjXWImOETDLHBk9jXVSXiwP3vpMrVwjsT2aPdOs2Eu0Wj+IAaP9f45srBLy7+H9ewidW+exPY4kX+ZI8HLWecyaeGqcztmgZlijstyGl8i+rbNfON55IU7yTb9RTIb06ofc7MMFAcJ8FmW8zTsHLG4QZnd/AprFNRMy3XLloiV+BQAUTSDJwFn8yeIzAz7uY/C5qT5BrnxSYoOK52n8Dx3kTETHaHpHyQuOqx5S2S2z3JyimPhq7Ble88aF2hnz9Hy78E3NdaycyTeAqE0yG1Kr1hBxJBIj8BGfNd8m5yUGbuftlkmKG/eBm7GaYA+HXr5CrPeYQyGmp2pbj52wa6OPKdqNZRSSqmx7tyShXiIcX3Tk+QiMRZj6mBdlU6SrZMkK9jyftG2SImTi8TJRQqbllfuBYVN8b0m1qak+QaCwfdq5ZVwF8/USbMlsBbfX0DEr4q3AGFwkMBrsNE/hWeaVZXQ4Oq72z8NwHr3Gda7z5TLerR7rhrFMzUXy+AKIVsmzVbxvRbGhIR+k25yBWuz6moY2BRDFLr5p8TUsfk6hc1Iikus5usE/hxBsJ+N3qmqFBUGBwn8BkWRkhQpYIjTter9fG+WOLlQlWZq0RFCr0kvXak+F7jGXyMRloIkdQ1tebFRrRMGB7HlVX9e9MmyVQRBTEgtPEQvfo5u31WXhV6TenSEXnyROHFjHAQhy0NXWiirEwWPsHaEyJ8lzfuImLJaKsYWCZ7XxNoMawuW4mdcyctEVUy9+KzbXnCgfF3qqiW9BlGwv/wOrs6sm2RtasE+VvonqdVbrGZnWO+fZbZ2zJUugX62Rtd371+PFun0NvC9WdIiATF4pklRxNXnN8bnUOvVrPROkud94my9Kh2meQfKK3BjXM+tfrpGlveBAs+4DhuFTTlcfwVr2VmurLsbVQZ+kzTbIPJnCf0Wy+lJeukyjfAAHS4RmRmWOcO5/HHmg/vo5W76jXbvDEURk2TrdGqX3TieokOab5B6Xeb9424/YvBNyOW1r7IenWMmOkw/W6OXXKYRHSJO1xCJiG0HX2qk2QY9uULhpQSmUTX+BhIRUCcrYpbiZ6gH+wj8GWr+PEvps676tHaczMasZxfd1bXtMWMWWck7XMq/zYy3iG8WaGfPsVacxROfOFtHxNAMD+FLVF0qd7ILCB5GfHrpMmeiEwRSK8d+hLTtJVaT02R5j1owR4Lr3dgpeiTZOlEwR07KSn6GbrrE4dqLWSz2gwETeVyK/5J+slKWdl0jfys8xkZ2mXbvNDTBE59WcISl4iRZ0cVIgOcFeBJRUFC3LfpmjaTokElMUnRY7Z6gFuzDiwLct+/OV7nnqiVP2MfoZ6600AqO0C/arHVPkWbLrPjzGPGZb7yAntemX6whMnSv2W1oyUIppdRYd2wDt2dqNggWiZMLeF4T8MjzdlVfXRTJpitxAM9ruXXEJ/Dnr1m+lYhf1jG7+utW03XfbG98CwBjIsBA2YZhTEQtPAS4EoUxEY3oKEnWIS82yPMNjAQYr0meuSv5QYni2m27PG/L23uGwUE8E9KLz25az0iAlLfktDatYt20jomwRYKUpRiRgFb9OHG2Trf3XYBt95mRoLp69rwmUbCfLO+SZsuAazhMs071fCfG1Ku4BvsoTlfJ83b13oHvrpYGpcJ+/BzgGnzzorfpc4kYAv9AWYrpVSWgMFx07QNF37WvDH2WQWeIbnwe32vimRpJtkJetjmI+FibIeWd7UzZVgFufxnxiYJ5kqxDkl5yV7+NFyFi6PTPc2T2NfSLNpfWvrLps3tey7WhwTUl0ixfIwoWqYcLrHXd9zDYJ8Nxh0GLXv9c9V3MNh5gProXz90omNh2SIsucb5OYFx7VzdZIs06eF4Nz4TU/Hk8E1XdfdOiV71fu3eGPG/j+/P4XoPAa+KJX3UfBmiX7Vet2jG66RKN4AA1b46V/kk3nsdmFNaV7tyxUKdVvx+AbnKFVv0Y/dRdBUd+qyypLtNNLtMIF8vu5XMYCVhqP0qzfj+h12St+yyN6CjGBMyFx9jILrG68SwLTbfve+kyjeAAG8kl5mrH8XDtNYntsbT+TQBq4WJVcjMmIPJm8U1EXRZI6bGRXULw2EguEcfnWZh9WTUmRjBEfouF4D5qdoaL+bfwJGCfua9qHF+1z+FJQD9fY613uvzeGuVvMWF/44VVJwtLThQe5p7Gq91rbBufCE8CVtLvVrUeG/FlknQJazMatXvdcYthJjzkprXBZz27SJwNSvQJSbaCiBt35Hk1fFNjo3cSi2Xf7Ms55L+Yp1c+vmMD9x2bLER8C4Lvz7seJzbb8cR7c7ZnMGaGouhUJ/Bhg6oOv+wHn2dr1UlHxCf0F6oT/eCEPVyl43muqmLQsDl8gg38fYgY8qI3dHIbFBoNnucaoLOySBoGB8mylepkcPUz+EThQYz4VTVckrWr11WfZShJuO2YKq5Rhqt7hoXBAfIiueZEuFUtusf1k4/P4pfF6DRb3dW2r8bgTpaD/TQcg2dq1yRbYFMnB3D7aZAsBie/4c9oi+Sa39qB1qupmRbn1r606ffhGs3Taz7D1aRUx/ea5RgMV0U5+K1ZmxIF+0nzTvUdGVNnofkid0KWgJZ/Dy0WWeE5rvSfqQZ79pMrZNkK9drxqgoLoBbuJzB1CpuSlVWmcbpCmq1Sj+4hy7vUwv2EXpN+uoqIRze+SCM6RM2fo5sukeV99jVeQFr0WO48DRTXfO8ihig8TOjP0t74FvPNF5OV62RFn3qwgGciltqPVt9BvXaUmj/vqm6ALFshio7Qqh1nvX8OS1FdRAzUonsI/VmKImWx9n3UadG2F1iNT9PpnQCgWb+fLO/jmZBWdJSCgqzoshFfZiY6TJJvkOU9PBPST5fxvQa+qWGM65yQ5T2a0UECU2etf4Ys77Kv8QDryXla0dHq+y4o8MqklBUxa71TNKND+KZON12qOjP0szXqwQKBN8Ocdw+p7bKanKYTnyfPOxjToFk7wkxwiE56kV58mYXmAxiMuyiSOsvJKTzx8crfac20WIlP0U+WqYcHmI/uBaCbXymrsQua0SLL64/tmCy0GkoppdRYd2wDN7ircSM+2ZYr6FHrb73i3C2RYOSV8aARdutVuvt7Si++ul03FcnmK7GtcQ1Xu2xXzTO4mhHsNdvMi43qani4lGBtVl2ZGROVV7zDV8GuZGC8JoGpVY3cg1HHW6+OB+/tqsLCa0pLA4PqoEFpZhSLq1LK805106WduCqecFN103bVcMMxbL9Nix16nbUZRXlLUIZK5tX+kQA7tH9aF55zAAATRElEQVQtljhbB9/FNFwK2Cke18XZx9qUJF1CuHrLS9fVto3ntdxo/KHfnTER3WSJwroOEpacK8V3SLJ14vg8QbBIIzyAJz7dslt1I9zPev80eb5Bmq0S+POEvntvgCzfQBCa4UHm/KOsZmdYaj9adW4I/Bl8E9JLl9nonQJgqUho1e9l38yLKWxKp3++fK/1soTsSgFJWi+v/ltkiZuAsh8/V41F8f15omCewNRp906R5X1XFeY36YtP4DXLTgZz9Mr7YQDV/nKdUEKStM2KOUnbRKRFjyTrVN2Rk7RNXvRIKdz4H1NnrXvCdRopqz2zvEvou67g1hZEfos4axP5LQKvRi9dZjk+D7agUTuOLxGCYa1/hlZ0lHZ8jn5yEb9sfPa9GqHvunhbXGkPH4zxy5kXVsiKhNXudzAmJM062KLnujc3X0huYy53nqyO/ZWNZ6iF+6kH+6hJiyzvsd4/w75ZN0q8k16sOrH4JnJddsuxVvVggdxmLK8/seMxAHdwNZQxob3ez7abk9Vu1rleO1XP7JaI2XQSuq7XIoj411RJDZa5k9bV9hFXJWOq5LCbuId7KgHbbmuUwN9XHRTbnWC3S1ST4pJBfs1vYrDvPK+F7zWIgjnX+2eomstVN0bbVkPdqEH7nO81iJMLBP4+jAmJkwuIGHxvnlq4n43+aWyREJZtaIP678FnGrSxuTgjIKdZO0bNn6cTn6968fn+fHUhFAX7q78bE+F7cxTlfEPDVaCDtjUjAVF4iLzokxc9vLJtbThxixjq0TFCr0m7+2z124nCw3gmrLY32N+bvoOyOtf9ZuKyCs/HmAaeCd3AWUBMSJF33b/lOByLJfDdQM+86FWDMgV3I3DXprROnm8wU38+WdEnzTrVd+2b0LX59c9iTISRiHq0WE0v1E9X6cbnq9+y57WqMVGBP0OStilsTJ5vEPiuN1heJO72Bd4Mq92TVRvXoEqvKDKyfJ1GdIS8SOjFZ6lHx9z7m9C1AxY9amXb3eBiwDM1snytrD5NtRpKKaXUjbtjq6FcNcD1fbzdlBjC4GDVz/9m+V5KFUB5xWNuqIRisVWVyXbLBu9/dVsZrsS2++0MXj88Qvd6DFezbVdtM61SBexcShrsuzx31UT1YIHIn6Ufy6b9akwAFDflM7gr03JcS3KxGmMi1mBMnUZ0hG7/DOvd5XJ9nyzvVp0yBqWgwRX74Lfk+3WM1IjTtWoWABh0uuhVJYveUONyUcQkxaVN8RkTYYzb5qC3F+CupHtLm6paBz3aZmqH6KdrdOLzQ1VzGWm2RlJcnURvu84rg+rc4WNi0NOvn66R2LL6M8+oRUeJk4uA6/nnRvInrkSGYLwGeb7htmPtUC9LN9bGmBBb9LCmVvWGdFPFZBQFHJp7DTVp0SlcVVund4JG7V5Cr0lWzkbgmZBO7wRptuzGhOHON4MSRBTMk+QbdPrnNx0Tg+Pf92pk2UpVYhExLNSf7/Y9hlWg03Ov80xIPTxAmnfd7yQdfzzfscmCoTrem+lmJ4rrtV1xG6h+YN9rldY4e9mj7Hbg+/Pkefu6qiJFDIHXJDAN2uYEduj7GdcD7Hptar+ytkxW5Ukn69CoHaefLpdtHjOEfou8cFVWed6mHh6gHuyj1z9Tfdc7VW8On9yNmdnU1Xm2di/d5Mqm7sCuKigjy1aq9+4nFwiGZkUeEDyszVjvnSPLVqhFR6mHi2z0TmHZue1pK9d+lA0l6LgcPHo1ORtvlrzog/iuS3VyeVPvN4vdti1z0J17p8GwLuHto7AZ68l5lvNnyfLupvcYJPTInyUtelW7qbWZS+aZa4dJs2WybAUxtU3dzAfHepxcrHpXeqZOUnYZ75cDK/vpWpXMB+1cIhFF0SMMDlQ909a7T++8L3ezw5VSSt3d9qyBW0Q+ArwFuGStfVn5t33A7wP3A6eAn7TWrojITwPvxxUH1oH3WGu/MfReHvAIcM5a+5bdbd+z08iFO135q7uTq4pwVSGjej9NynC1BlBOPjlHlm+4SR3L3kKDXk07Ge50AFcHtA4moEyydeLk0qbqte0Gjo7qnDAYSJmkK9vuNxHjeqOJd817DPa7GwMUg7UYbxY7NNhwO4Pqr8GEmuP2wdbpfTa9V9kYPmgYH1RlDfPLnmdxeoV6eMjNCts7RRgcdNMKiakmlbxm/5iIKFjcdmzQgJsZG9JsqSoN16J7SLO1qjEfoFE7zr7aCzi98tmpNHB/FHjzlr99APiCtfYB4Avlc4CTwN+01r4c+GXg4S2vey+wc/lIKaXUntrTrrMicj/w6aGSxbeA11trz4vIEeB/W2tftOU1C8CT1tqj5fNjwMeAfwu8b7clixvpOuv7824ytyl2xVR3ljA4SJpeJgj2k+UbUy1ZjOr2bUydWri4aZqVWuSm8B6Mmt/Jdu1kV7td+2Dzqhvx1rFGgxLJbrmJIAtEgqtjkcoJP7dfv1U2Vm8QBvvxTDiy1HS1tCI77qtddbEf+vyC7Lq7eBgcIE2vbFs7MTwmysXhE/j7rinZBP6+ql1oUHIYfr8qNgTPnyvPeYaFmZeOHME96QbuQ9ba8+XjC8ChbdZ5N/DZoecfBn4JmB335iLyEPDQ1b9c38cb/Ig1UaibZXAgu/t+zBEn00sWOyaK8v4WgzELA3HsDtVR1apu3EL9mmRxtUH56rG0XVK43gb+wfxp+S6TblF08IOD5EXvmqlAtlPtoxEXmrvp3DD8+a/nknX04NB8SxxZ9fsanjInzZaJwsPVOBDYnOCq2IYG7Bozg28aI2ObWgN3edm/aT+KyBtwyeL95fNBm8fXd/meD1trH3SZcW96Qyml1N1o0sniYln9RPlvVX4SkVcAvwO8zVp7pfzz64C3isgp4BPAG0Xkd3e3KW1kVrcGI4G7O96Uu13vpNhhNmJb/jeKtdkNzRzwvRjMvLob1hbEyYWJVf/JHl6kVjMobGMwzmOwfdcVevMUQqPf291xc5RJJ4tPAT9TPv4Z4I8ARORe4JPAu6y13x6sbK3959baY9ba+4GfAv7EWvvOyYaslFJqz5KFiPwe8OfAi0TkrIi8G/gV4IdF5BngTeVzgA8C+4HfEpHHReSRmxDB9/4WSgHD97++EYVNq3pkdXPc7PnZdsvdN2Lnc8ted5vf2m4x0I+fo7DpDW+/KGK6yZj799ypEwmKGAujbxOo1G7cjN5x7latN3+qGDVZg95S0xpLtRcTmQ7Uo2P04lO3TG+oCbozk6CavJvRO87dJGf9JkSjpmlaJZpJbH/rVCRb6XQfSimlxtJkodSE3OiNtdRkfK9tU7e77W6iNkyThVJKqbE0WSilFDpzw+DOiDsun1AcSimlbmOaLJRSShH4CyOXa7JQSik1liYLpZS6y4n4NML9I9fRZKGUUmosTRZKKXWXszYjGTMOSJOFUkqpsTRZKKWUGkuThVJKKeJ09E2sNFkopZQaS5OFUkqpsTRZKKWUGkuThVJKqbE0WSillBpLk4VSSil8rzFyuSYLpZRSY2myUEopRVEkI5drslBKKTWWJgullFLkRW/kck0WSimlxtJkoZRSCiPR6OUTikMppdRtTJOFUkopRPyRy6eSLETklIg8ISKPi8gj5d/+vog8JSKFiDw4tO4Pi8jXy/W/LiJvnEbMSil1NxudSvbWG6y1S0PPnwT+HvAft6y3BPwda+1zIvIy4HPA0QnFqJRSiukmi02stU8DiMjWvz829PQpoC4ikbU2nmB4Sil1V5tWm4UFPl9WKz10Ha/7CeDRnRKFiDwkIo8MqraUUkrdHNMqWfx1a+05ETkI/LGI/KW19kujXiAiLwV+FfiRndax1j4MPFyub29mwEopdTebSsnCWnuu/PcS8N+B145aX0SOlev9A2vtd/Y+QqWUUsMmnixEpCkis4PHuJLCkyPWnwc+A3zAWvunk4lSKaXuLoW99SYSPAT8PxH5BvBV4DPW2v8lIj8uImeBvwZ8RkQ+V67/C8BfAT5YdrV9vKy+UkopNSFi7Z1Zte/aLG6Zzl5KKXUbyL5urX1wuyU6glsppdRYmiyUUkqNpclCKaXUWJoslFJKjaXJQiml1FiaLJRSSo2lyUIppdRYmiyUUkqNpclCKaXUWJoslFJKjaXJQiml1FiaLJRSSmFMNHr5hOJQSil1G9NkoZRSCs80Ry7XZKGUUmosTRZKKaXG0mShlFJqLE0WSimlxtJkoZRSaixNFkoppcbSZKGUUgoRf+RyTRZKKaXG0mShlFIKKEYu1WShlFJqLE0WSimlyIveyOWaLJRSSo2lyUIppRSeqY9crslCKaXUWLdNshCRN4vIt0TkWRH5wLTjUUqpO0leJCOX3xbJQkQ84DeBHwVeArxDRF4y3aiUUurucVskC+C1wLPW2hPW2gT4BPC2KceklFJ3jdHju28dR4EzQ8/PAn9160oi8hDwUPk0huzJCcR2vQ4AS9MOYgca243R2G6MxnZj9iS2PF8GuG+n5bdLstgVa+3DwMMAIvKItfbBKYd0jVs1LtDYbpTGdmM0thszrdhul2qoc8DxoefHyr8ppZSagNslWXwNeEBEniciIfBTwKemHJNSSt01botqKGttJiK/AHwO8ICPWGufGvOyh/c+shtyq8YFGtuN0thujMZ2Y6YSm1hrp7FdpZRSt5HbpRpKKaXUFGmyUEopNdYdlyxulWlBdhOHiPykiPyFiDwlIh+fUFwfEZFLIrLtGBQR+WkR+aaIPCEifyYi3z+JuHYZ25yI/A8R+Ua5z35ugrEdF5EvDn1f7x2x7g+ISCYib59UfNvEUBORrw7tq399K8cxjWOh3K4nIo+JyKe3Wfa+MqZvisgXRGTHMQhTiO3e8vf4WBnfj+15QNbaO+Z/XOP3d4DnAyHwDeAlt2IcwAPAY8BC+fzghGL7G8CrgSd3WP5DQzH9KPCVCe63cbH9C+BXy8eLwDIQTii2I8Cry8ezwLe3+22V3/2fAP8TePukf3tDcQgwUz4OgK8AP3grxjGtY6Hc1vuAjwOf3mbZG4BG+fg9wO9PeN+Niu1h4D3l45cAp/Y6njutZHGrTAuymzj+IfCb1toVAGvtpUkEZq39Eu4ku9PyPxvEBHwZN6ZlIsbFBlhgVkQEmCnXzSYU23lr7aPl43XgadzMAlv9IvCHwES+z51Yp1M+Dcr/J96bZZdxTOVYEJFjwN8Gfme75dbaL1pru+XTiR4L42LD7cNW+XgOeG6vY7rTksV204Jsd0DfCnG8EHihiPypiHxZRN48seh2793AZ6cdxJDfAF6MOzCeAN5rrR194+A9ICL3A6/CXSUP//0o8OPAb086pu2U1RiP4xLXH1trvzLuNVOKY1rHwoeBX2LczaedSR8L42L7EPBOETmLK8X+4l4HdKcli9uJjyt+vx54B/CfRGR+qhENEZE34A6Q9087liF/C3gcuAd4JfAbItIa/ZKbS0RmcCWHf2ytbW9Z/GHg/dNIYNux1ubW2lfirohfKyIvu0XjmPixICJvAS5Za7++i3XfCTwI/NpexjS0vd3E9g7go9baY8CPAf9FRPb0fH6nJYtbZVqQ3cRxFviUtTa11p7E1YE/MKH4RhKRV+CKv2+z1l6ZdjxDfg74ZFm18SxwEvi+SW1cRAJcoviv1tpPbrPKg8AnROQU8Hbgt0Tk704qvp1Ya1eBLwJTLb2OiGMax8LrgLeW39UngDeKyO9uXUlE3gT8S+Ct1tp4j2O6ntjeDfwBgLX2z4EaboLBvTPJBpu9/h93hXICeB5XG5ZfeivGgTtgPlY+PoCrtto/ofjuZ+dG5HuBZ4EfmtJ3OCq23wY+VD4+hEvAByYUlwD/GfjwLtf/KNNt4F4E5svHdeD/Am+5FeOY5rFQbvP1bN+I/CpcR5UHpvg97hTbZ4GfLR8PqmZlL2O5Lab72C17Y9OCTCwOEfk3wCPW2k+Vy35ERP4CyIF/ZidwFS8iv4f7AR4o6zv/Fa7REWvtfwA+COzHXRUDZHZCM1zuIrZfBj4qIk/gTt7vt9ZOahrp1wHvAp4o69/B9c66dyi+W8kR4GPibhxmgD+w1l7TBXNacdwKx8J2tsT1a7iOFP+tPBZOW2vfOo24tontn+Kq6/4JrrH7Z22ZOfZs+3v8/koppe4Ad1qbhVJKqT2gyUIppdRYmiyUUkqNpclCKaXUWJoslFJKjXVHdZ1VahpEZD/whfLpYVz3z8vl86619oemEphSN5F2nVXqJhKRDwEda+2/m3YsSt1MWg2l1B4SkU757+tF5P+IyB+JyAkR+ZXy3iFfLe8d8oJyvUUR+UMR+Vr5/+um+wmUcjRZKDU53w/8PG56hncBL7TWvhY3D9dg1tBfB/69tfYHgJ9g5ymqlZoobbNQanK+Zq09DyAi3wE+X/79CdyNdgDeBLyknF4CoCUiM/bqPSGUmgpNFkpNzvCspcXQ84Krx6LB3UmuP8nAlBpHq6GUurV8nqEb2YjIK6cYi1IVTRZK3Vr+EfCgiHyznIX156cdkFKgXWeVUkrtgpYslFJKjaXJQiml1FiaLJRSSo2lyUIppdRYmiyUUkqNpclCKaXUWJoslFJKjfX/AfZ6VX+AI8V+AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import librosa.display\n", "librosa.display.specshow(melspec, x_axis='time', y_axis='mel', sr=sr, fmax=16000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if you are using GPU, you can accelerate the mel spectrogram generation process with torchlibrosa library.\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "is_gpu = False #For demonstration purpose, is_gpu is set to False. Change is_gpu to True when using torchlibrosa.\n", "if is_gpu:\n", " from torchlibrosa.stft import Spectrogram, LogmelFilterBank\n", "\n", " spectrogram_extractor = Spectrogram()\n", " logmel_extractor = LogmelFilterBank()\n", " y = spectrogram_extractor(y)\n", " y = self.logmel_extractor(y) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "In conclusion,we can take advantages from recent developments in computer vision in audio-related tasks by converting audio clips into image data. We achieve so with spectrograms that exhibit frequency, amplitude, and time information of audio data in an image. Using mel scale and mel scale spectrogram helps computers to emulate human hearing behaviors of distinguishing sounds of different frequencies. To generate spectrograms, we could employ librosa library, or torchlibrosa for GPU acceleration, in Python. By treating audio-related tasks in such a way, we are able to establish efficient deep learning models to identify and classify sounds, like how doctors diagnose heart-related diseases with ECG.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.1" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }