{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating multivariate effects based on temporal kernel\n", "\n", "In the previous example, we showed how to use the toolbox to specify multivariate effects of contrasts between experimental conditions at precise timepoints. You may have noticed that the generated effects look a bit too abrupt temporally to be realistic. That is because, by default, the toolbox generates multivariate effects with the same amplitude at all time points you specified to be present. In real data however, this is not the case. Typically, you would expect decoding to rise not at once but over some time. Similarly, you would not expect the effect to vanish suddenly, but rather to vanish over a period of time. \n", "\n", "To simulate more realistic temporal dynamics of multivariate effects, you can specify a temporal kernel that will be convolved with the effects you have specified. In this tutorial, we will illustrate how to do so." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Setting up the simulation\n", "\n", "Just as in the simulation before, we need to specify a design matrix, the time windows for our effects, as well as the characteristics of our effects (number of channels, number of participants, number of samples per trials...). We will take the same parameters as before. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import gamma as gamma_dist\n", "import matplotlib.pyplot as plt\n", "\n", "# Creating the design matrix of our 2 by two balanced design:\n", "X = np.array([[1, 1, -1, -1] * 40, [1, -1] * 80]).T\n", "\n", "# Add descriptors:\n", "cond_names = [\"category\", \"attention\"]\n", "X = pd.DataFrame(X, columns=cond_names) # Add a column for the interaction between category and attention\n", "mapping = {\n", " \"category\": {1: \"face\", -1: \"object\"},\n", " \"attention\": {1: \"attended\", -1: \"unattended\"},\n", "}\n", "\n", "# Specifying the effects:\n", "effects = [\n", " {\"condition\": 'category', \"windows\": [0.1, 0.2], \"effect_size\": 0.5}, \n", " {\"condition\": 'attention', \"windows\": [0.3, 0.4], \"effect_size\": 0.5}\n", " ] # Packaging them in a list to pass to the simulator class\n", "\n", "# Data parameters:\n", "n_channels = 32 # EEG system with 32 electrodes\n", "n_subjects = 20 # Recording from 20 subjects\n", "noise_std = 1 / 2 # Variance of the data\n", "ch_cov = None # Assuming that the data of each sensor are independent\n", "sfreq = 50 # Simulating data at 50Hz\n", "tmin = -0.25\n", "tmax = 1.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Specifying the temporal kernel\n", "To specify mutlivariate effects with more realistic temporal dynamics, we need to define a temporal kernel. This kernel will then be convolved with the time window we have specified for each effect, such that the mutlivariate effects follow these temporal dynamics. To illustrate it, we will use a gamma kernel. A gamma function looks like a Gaussian, except it is skewed towards the right, capturing nicely the typical dynamics of multivariate effect and of ERPs, where we typically see a quick rise followed by a slower decay:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate our kernel:\n", "t = np.arange(0, 1, 1 / sfreq) # time vector (in seconds)\n", "kernel = gamma_dist(a=2, scale=0.05).pdf(t)\n", "# kernel /= kernel.max() # Normalize peak to 0.25\n", "\n", "# Plot the kernel:\n", "fig, ax = plt.subplots()\n", "ax.plot(t, kernel, label=\"Gamma (shape=2, scale=0.05)\")\n", "ax.legend()\n", "ax.set_title(\"Gamma Kernel\")\n", "ax.set_xlabel(\"Time (s)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can play around with the shape and scale parameters to obtain different temporal profiles. I chose these parameters as I thought they look reasonable. Note that here, despite the kernel starting at t = 0, when we convolve it with the data, it will start to rise only from the first sample at which we have an effect and ramp up from there. So don't try to specify a kernel that starts at the time point you'd want to see your effect, this is taken care of above by specifying the time window for your effect. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Simulating the data\n", "\n", "The simulation of the data is exactly the same as before, except for the additional kernel parameter:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from multisim import Simulator\n", "\n", "sims = Simulator(\n", " X, # Design matrix\n", " effects, # Effects to simulate\n", " noise_std, # Observation noise\n", " n_channels, # Number of channelss\n", " n_subjects, # Number of subjects\n", " tmin,\n", " tmax, # Start and end of epochs\n", " sfreq, # Sampling frequency of the data\n", " ch_cov=ch_cov, # Spatial covariance of the data\n", " kern=kernel, # Temporal kernel\n", ")\n", "epochs = sims.export_to_mne(X=X.copy(), mapping=mapping)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Vizualizing the data:\n", "Just as was the case before, we don't really see much when looking at the activity of a particular channel as we have added effects at the multivariate level. Our kernel doesn't change anything at that level. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Not setting metadata\n", "160 matching events found\n", "No baseline correction applied\n", "0 projection items activated\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\alexander.lepauvre\\AppData\\Local\\Temp\\ipykernel_53036\\238737532.py:1: RuntimeWarning: Cannot find channel coordinates in the supplied Evokeds. Not showing channel locations.\n", " epochs[0].plot_image(picks=[0], scalings=dict(eeg=1));\n" ] }, { "data": { "image/png": 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Nr6U2FnWAtiQXpWCb83j925qj2HHqE8WPO2P+QWjL9+bp9GVp2Dm+NpiXWvT/AZdaLLsRp4clR57Cm8Gul+BNk0biVdBUUM1znDqyQd1h4bWgT7XHNttRXhut98Obm9Wm7nRtryh8TbM/cqPzn1fzNPqZwPDfiKHLx4mmiXIUnTBo0CCt5Z4xefJk7QshC1mlYDcS7VacWwQHBYlbbrhW+65QKBQKRR3uep1wb0BE0SFrFJsgSnD7HKa0tFRLY+9KOyb8/Jw3s4QbKuF664JP6PO7t+wEbYXNB9C1vvPfxs+bhKMREnsSTr9X6L3o2j9TcEpkfGR1oxs0bFm4m1aS9cdcaIuZgqNNEoeHCf9ef9zcJNGb8d9r9+ChHZ0N77R3V/Iu33ZZK/hzR+AoiiP/f6MsnTHXHR93IxLweyWxL8THdPXQm+ha/2wcndvuicswJPEkXVpcxVOeZTU4sv/ATNwUJpl9OU5NPrWJp61v6YHXzjmQT9feGorT+HNrcPewZKQ374q2hOGOal01L5fRV5aIxmIz4a7o7/by5/V2w7GiCD8enUv88iFoK9zLo3NtX38N2j7N5BmFye44c2Nv3oOuNebj5r3KSH59ryGSCf5HcTe1xOGNs0K2oDh4nwyLiddUQmSZ19m4Bz/kkSA8GtDMUu2wixer087Ka/knURHF84Cogl3CVO38omA9lgLXufcbS5+3MqC2+cYZVc9y58fnsffx8/74PF3rGe+81kTi5c0dmDEtccRPn81vuun+J3eqn0j+I0+ItNJykWDyFV7G+jeFlm99CNem2fkFwUAqnGMOcIfsYPT/yhlOJVHHU3z6o/j9aJ3Yk64VebzbdlYxlqLpHIPT5ZLyo/imvDmniq7tlYw7zPe7qG9rV5QLbe0juNP96W58U55UsoiuzXn5G2j7fibegEgya7ATeldvnmoPdGCn62YTTktL8pzMt69jeJeudO3vYcOpvac/cSQWfUHXbunqPP0o6W3kDqpNj539axJ5KYaDRJMu+wmnwyW/jh0PbW5T+Yb8qA1vMi6cdRdda+mGa0X1rfjvzQ/Ba0NIOYQkwwfXKBrXLaRrq8djp9q09Xfnhgqu/nAm0DWw87dpxhNV17NCoSGdxCvmr9a+KxQKhUJxajOLoQFfTRGVej6HqQt7/7zxoPD2dR7xuP+j9XD9lqd5wXqBBadTvF101JmOYQHimkN8x7kiaRy0HS7GqXTJRS2xFmLgKh6NMATjNO+WPQdE75v+I9Z+/Jzo3LK+zlvGL7/BtWEvfE5/bw2JCriipBqvjVj0Fl2bPeweaKuw8NfU2sAbNIQVR+/KTDyiaCrEERhzCE5LStz1jRcJ35KNU7Vdd35L13q27dmoaJNkThV+P3IreBR0sj9OTdpCeRPFbjNuDGnnxrueDWU4+mpex8WpPTviKLikIgF3rrst5kL/Bf1xRNHfg7cSlJHoLNHE14gqxmlcmx8X+q70wtcsryr+ORyy4kh30uHaBjxEfqvhjSqHkDTzwW/IO5t548+9STjT4fDi2o/GQqz9uQdEKsvLSkXvVnFnNfX8hFdz4dmA1HOVwy6eqkxVqWeFQqFQKBSKfwsGreu5IfI4TRPlKJ4HDAq2CJOf88aEWQ8NguuWHOXRub4xeLfq4UILwBaCpysYCnit0KBjOCIxvQQ3OkiGNcd1WUFDb6Br56VhbRXflrVTHSpaDhRlneq/BsePWCsvq5zLM/yyCzcGTOvNdQMDSeTWckntCElEbBXWSrx1EZ9Eckc//PlK2nvgOkN3F8fOn5U4sjvExaZdRyYReRZw7U8h8N/k0RLXzUrsnrjIPt+XR1C7kaRNRAmvb8sLwOeDwcV7FeKNf6++uKDRWqdFo7hOYoQFRyMlPkW4PnJn10l0bYciPPVlsxuWP5K03/kjtBm7Dm/05y/2r6NrazqMhrYl2dy12HoMX0sfT+ZyQEsPY0mfMS24usOTy3Fk74ZufJ7y0K+3QNvTY3F0VdIsAGvD+oLLioOlGc4QBiWPozjXMZRkCYPduZPT3Igv+DssXDR5fyFuHOh0lKc1StthbUDjHuzcSBxX/gfa3iCdqRJ7Jp6NW92CC26PCsapx23HcoWfr48wVeUK/7L6oq8Bt96Cf68fb/yY2CmyUV3NkszwLtB2LJd3eUeB+eCS+wfztGXSIZ5e1LXATSVeLpqKwn3IiL+VPAW8IelSaOu6vXaEJqLHIOzQFRl4g8ahQvxedyvjs29LA7CD+ns573ofFYjPUWMB/70ZJpzGn1nBNyhj1mGdzLCufITbfau4mHv7/4rbO6N5IE/Fz7PiBjy9hW/YVrXATSWpR3hDxHUdcHrZ0IprP3rPwwoRo4fzzW2HcPw5Vfnw2/cFgTi97KHjnfpP2PH1X+fLnfnFV5N57Tkb6VpbBC9bcIY3P2TOCAYluK1QKDq1bS0K9nHpBoVCoVD8e0f4/Vu7g5WjeB5gLykQdpvzNLIjDkvo93ZRTGshFdyHmvNUTKssPF0jZ/zDdG3g8i+hbVP7K+jaziU4omi0VTVag60qHEvnaATiSMY3O3Po0slGnC771kFGIAghLm6FLz2dA11U4NtxBDVS8KjPrng+MeKLNVgr8dU+XLZlbQpOiXUIxtFXSaeV70Bbzuj76dooIy6yN1n4+9GFnEpmD54CNBVgTbrRpSfPjD+VIoEj90cMvDygmREfO21CuQbfGs8x0BZYwSPot/flOotBno2/7TDJH4cnv94xjcYWwfyYPVSEw1YtTHwi1OexV0LbzVZ+zfJ0w1kBT9L4oRGEP4dDJVxaq1UMzjhU61xMBCLjDo0upictP4ojuwNjuHTa2cSgIoqKc511/t2Ej5/zesJ4PRZ7Tc3nNYodwvGJF2nk8XxbKq6dCcrgY+lSu14NbY/8spOu/f46XJOZUsBTsZ2P4M7FQ1nl4qrJN4vvP/tItE5uVc9e8uVLcO3mqOvo73Vrjp3BFsEuLn7fPAVNr7bEHaCS+7tirUOHnp/6SYvfoPbXhuKbX80a3CEuuckf3yxK2uH0oGRXAO4+7l+yh65do8M3v9VHuKN4S3ecAvRa+wNda+88AtqGrOS1Yi9FYkeiWxoewSnRtcNaeQF7uH5nElmrJ7WvEpsXST1qKXN8fajayDUpRSR2fnR2nk511OD3cmsUriOUfLMeb4y+b81nH0/sgFP1ulIuuG1np6mDdy6nEV3R5svxhkuyte/t0JbqYk54r1jssMeW8DriR7/HpThf3ur83C8v/ztmPQtVo6hQ/Nupqq4We/cf0L4rFAqFQlGHQTmKinOdXbmlwrPCeZoxORgXWfcv3UCf1xYzBBureGrCmoXTHtcW86aSz3rh1NWsybyp4O7fcFSwZ3MenYlqjxsh3vu6dkLGe9uLRXh5/fFmrZ6eB9e+kvEc/b3G2a9Dm6PtNLrWaxCOdIx5/G661vD4A9Bmi+VjuNxjebOL3Qun2zxc6OhV71wDbVnl/LgrqsQNC19W8rT1tXG4631mKU8B2r94AtoOjX+Urm3pwBG4pdfw6NsuB771FHTGeqSSIDccYUtvh88FiS/RUT1axVO8XYp5hG2PJ26yiRuNu14ln2zHCgJ3xPORhgfdcfnI6NQ/6doxI/H5YlmPj2eJXyGenlUVksQbv8y4WdEazFP8rUjk1xHuYnpSNT52OkfyKUZxpDP9WBDvmF8wDR93vjXOS1ZK3c7+ZBaDSj0rzmcC1uEu0YOdeL3fq7Ow0zWqHe/GHDgcj/h7mYhES7zLsTTLPjvv1L6mG65/aRbAuw+jKvENrEtMgPj6v9+TEutLOHhvWAnXGufxNI55NJax+dVFfeONntiBaf3BZ3StnQjEvriRp4+m9Z1A7ZVW/BmXgjKJOvwH43rQVlVczLe1Cd/8avbzTm29CQs9P3jwJ7rWbzKuuw0sxOeRpHTZbGjzvpjPp47ywJuqEnIzl4Rnb4e2P4vweSS5xQ2XgJQ3w+UfkqMGXrPZOhs3jb20l3djT3OshrZ80+V0baIFO122In7cufnha4ejijuoDiMuD8p0Ia21LQs7HpfG8hKAHw/j554Yx4XtLWRIABPjltirvKAt3MpnjKfU4M2+j4/z53W48ffwTGD4b1TR5eOa6PgS5SgqFAqFQqFQAPQNjCjKxzVF1Ai/c5i68UGbDmYIXz/n6Z4VR3Dxr5873wdMCMDCuIuqeUpsYDSO3vV/FY8VlPx6dx9o25fP0whx/p6NFnqOseGoQe7sT8XqfYdF3+R4EeBk5+o2/Hq4dmkB7wJ98IvN0Lbxcv6azS0GNmq8n6vRgbFePBqlIx3ikkrvMNFYjpEoSsscfuzYy3DH9LxAXvIwxgs3DpSH8ZSnlaSe/ftzhQBri77QtjyDzxaP9MPHexsbb4RI9cBRw6VphY3WDSyschHJzORaeZt8OkJbtxIuUZUbh68d5S7GUkb54vN0YSo+riRdf8Dar1V3v0nXxutxycPGMhx9k/Sq2QdtZStry2UQO4fgTEZPf96sWPQ5bt5bOeJBuvYYKeMY2SKk0SUPIVbnx2xpWZkITWx3Vkf4fRbcUnjrXVcgmu02MbnggBrhp/j7Ka60CguQ9hg1D9fHpV77PH1euydOEbby49246Wa8v1h/DT9BHDlYuT8son7H8YnobPiie9MCnsZ96kKcbnE7lif6+vkIcSxPOLtlRPTEXd5DfbCEhWRpPE5bi8gbGy1hFLaZd9uW9LwK2ipcnPpr8nkav3Uodhae/pN3vXdPwOmlFs152vL1Qvx+3NuMH7OHK5OhbdFuPk3E1vUOaBsVwyU/whZ8BG1D+lxC11aDDaLEXsV/b/w+XHfXLXYoXcu2LyFGnuorW8Xr/bqNxM5CaXNe32oim8EQG3f2lmZgR3FoAp9B7DUel2I4BHe67Z5YfWD9Xp6K7d4a11WaXciQHU7DQYRAL36NTojGJUAjE/HfI/lxN96QN9vzO12rM7pDmyHYeTmUoZyn/v/WGkVd04woNlV9SIXitMgtM4t3V27TvisUCoVCcWrXs6EBX00RlXo+h6kLex8+lgXD2D41JK1RwlOiiYE4ahS4g+/8jKG46HyBjkcFO4X7NHpuctu9M7CxD2/AKLTg1MGUd2eJeY9fK0Y+/bUIiq8febpvEO4CXpXOx/D1jMbRCrOFp/G6RuL3akEK/72jyTxX99JjdG3VAtnag1neHTczDY/mx51u52Joy2/Lx8MF67A2qHXeh3Ttog44entBcx5RyjHjbuzoKv5eOrzwc2fYuPB1jCf+vbkW/j6byAxcV2UaLI1bXsNTvDYSBZfEkVSsw42nYg2luOtZZ+GbPEsYziiYv+bZF7+L8ag9fQ2PaO3xwJ3NSVu/o2tvKuwObR8H8BnTNxX3gra3L+UDBrz1+Lq04DAvl2gZjI/pRBfd5Vmz50Db/EufdPrzyooycd/QDmc19fx9WHKDU89X5e5rcqlnFVFUKBQKhUKhIE0q+gZ+nQ4rVqwQF110kYiKihI6nU7MmjWLPn7ZsmXa4079ys7GG6gzgapRPA8wZe0QpjLnuzRrDp4YIGL5GDZ2TM8OxE0Ukp7heLfUz4PvvNJLcSF1ex8ueK2PxGPLbFZeoL0qHdtv3vmlmPff722z69fghIz9Aq718+AF2glHlkGbzpNHlEQRlinqHYvrl1zJpwT5cxmSdb1xTZ5kpPEItC3I4hptw1rjOrSIgl10bU1Ea2grH4WL9yWji/EovYIavvv3IuPwdDYeBTe74+eOWsoljqqH4Cioyd2FTMm3z0Cb7drH6dqAMiwHY0rZStfmtruI2vN0OMIaXpJG11YT3UFXTTbR2fjYqrz2Cf57Z70CbW4X3UnXelTjC+3lRzvRtQOS8XuV0vJauvZukq1Yd4xL6wzajTMKA0bgqS0S3wrstNjb89rY6DjcVDal2nkNeqlHheBn/l9HZ9AJnRz47Opxp+koVlRUiI4dO4rJkyeLceO4LuqJ7N+//6SIZVhY45sLG4JyFIGX/8orr4jNmzeLrKwsMXPmTHHppc4Fam+99Vbx4YcfijfeeEPce++9x39eWFgo7rrrLjF79myh1+vF+PHjxVtvvSV8fXnjgzMs0e2FBYSxC8NwB6Eo5k7X7lycqrk4mgeb7e74IlRu4ydLq6PLoW2uN061SEJ88YU1zo71yiRdo3Cqfcb4+4X4eZE4MP5+YW1Tf+Se91F8YR0Wwh2Fb3X4NWfn889oXDjuPt2bxS/2Y/QHoS0jrDNd++d+3tzRpxxrFva+aCpdK3bgbs3y/Vj7T1JyCRbsDTNw0WxzCE49XvUp77b9+trOjU55MtzbYW1H7bkdeHNjqCjga0fiUZl2IuTsKl2+OnIYXdt3B4+KPFfdDdoe68hTz8w1dlVE5bDg99KnkjeVGLrjv3mvmd9G4+ZjJ/MrwQXmRdfHoMl3/1K+NgKXy+g9eLp8TWes8uBfyq93LQKx8P2WbH6utA/DIuJFzzovdymr5gGCM4HeoBP6BjiKdRFFmbI+EQ8PD+3rVEaOHKl9nS7SMQwI4OUyZxKVeiZe/nvvvUcfJx3IdevWaWHjU5k4caLYvXu3WLhwoZgzZ47mfN58881n8VUr/go+JpPoNXy09l2hUCgUiuMY9ELXgC/5OElsbKxW21j39cILL5zRl9OpUycRGRkphg8fLlavxiL0ZwoVUXRCQ7z8Y8eOaRHDBQsWiNGjTx6ztnfvXjF//nyxceNG0a1b7e75nXfeEaNGjRKvvvqqU8eSoTcXCr3B+S4uvBCniBZX8BTgJa1wynRLHm4akHTxwTp7hQ6+03k+E6ePnxiKR8NJikg6NSqPR6MsaXi0VOukseK59z6HdhsJV6wv5VIyw/94BNpC7uUXEB0YWyXZWOMi6huJj7OK+7B0juT+d36k9qXHpkCb5TDXYLygEx5LaCA2lyPNlnK5II9huCFh7o08BXigBB93C4v46EBzLo7ODk5oQdeu2oMblloE801NHyJDld/6QrqWlQCsTeejMjt0H0vtEyvxe7nfRSNMLLFHWnid1ouZuIxj6WJSwiOPj8tjoC3Ck99GK7KwfE7RZN5E05KM/6s5zCcCeQThv/fDbC6tNLIFzs54uGiEOlaGI47RJix/I1mchq93F93hXL+xtKxciDe+F2cTnV6npZ9dPu6/wlIZGRknpYadRRMbg3QOP/jgA82vqK6uFp988okYNGiQWL9+vejSpYs4WyhHsRHY7XZx7bXXigceeEC0bVu/pmLt2rVaWLjOSZQMGzZMS0HLD3TsWOcXUvnBy6866sLXIz45IAyglm3lPXg28lXFXJBXR25gIT78BlbphZ3MNft4GufKzrg+zoukJSW+EbguLzOUpOHlRdkPpy17VR0WuQWFIiw4SLi717+YHTTi11ziYi52xqQX8dpKXs+5Px93tsb5865X+54l0HZg+sd0bSJ/atErBmtw2lykANn4Pya462ocmmMkr6v8eBt2JKZ04jU+LU34Ndvs3GEzkJRVgovP0CsRO2X+LmqBvyzAZRyT7LjzWFIeic+lVpW82z7PzGsF8804VXiwgKcmk9phfT+HgTsh95VixYQBo3i93xYzPi7b+/Jj1n/4CGjbXMg35PZAvNmPIGNUJXo9vi6FudAeZJ3rQZ686z00dRW05S/g1/cx198Dbboa56UlOisvOTkTaKnnBjiK+v86itJJPBtdz61atdK+6ujTp49ISUnRSt++/porVfwVVOq5Ebz00kvCaDSKu+++26lddiCdWlwqHx8UFES7k2R4+sRwtQxfK/4edu0/JBJ6DNG+KxQKhUJRh06vb/DX302PHj3EoUNn976lIoqniWxwkU0pW7ZsOe0OJ1c8/PDDYurUqSdFFKWz+Mb2d4Svm/OP6rfDOF3a84c36O+LmI7HNMW487/ty104GnlDEt/ZbyOb2RoXqUejg+ySXeiZRVrxa16/d6323bJ3raipqR+JjRuO60uNPjyC4tDj08zt6A66NqkYa/RdvpaXFnwzEetK5pPPT3tdR/DYQckOI+4+7l9c+14irO3IyDs7j86ajbhLvMbFCLcJbXHUUF+Op0lo9mp8bPmQUXmSCB8cNax2EX6NqcRZAbuNN34MT8TpxUMu3quk/X9A20VW3szgSHLe+FdHy6Jt0BYWx0sA3HLwSDubD0+nHu49Gdq6rPyArt3d8yZo80hZQ9eWbsI1ZLYBvHkv2g8fO7/s4cfsDeE4jdt/Ae+2Dx4+utFKDcdm4sitburbdK3Ni0TJS5xfC+38cPxHIop/J9u2bdNS0mcT5SieJitXrhS5ubkiLu5/N2mbzSamTZsm3nzzTXH48GERERGhPeZErFar1gktbQjUGRX74bfCD4Sxkxe+j5/venxx0163Bac9Miz8JtQ7Fo9xqvHijmKnvbOh7ZWD/EYxvS3esXV/i4+O23wz7iB2i046/t29ef20u1XgG6sxcw/9vZZonPLOn/0TXRtyGe4+fK0VlgqRLCO1giHe/DOyhfJReiE1eL3eymtUrT/hVLzX4Mvo2pqfPoG2Q+O55Et3E+4wT7HzurvdxfjvvSQok67VFeA72YpqfD2QFFbhmt2EAH6OdshdAW0PHuWbjFfa4xIPh5HX5NrW/kztIhJ3tkb48FtS9RosNbWsNe7ylrQKxteO3MFc8iXZC7+uPUbcxS1pPQ7XZI8gIxolO/JxWnVgPB+lZyeBjMDJfPzf7QvxyNL3O/HygIJbX4e2F37j18oHh+GSpw4uymHOujyOoeE1ig2lvLz8pGhgWlqa5vjJ7KP0MWTwSPZDfPXVV5pd+hgJCQlayVtVVZVWo7hkyRLx559cyPyvohzF00TWJsp6wxMZMWKE9vMbbqgtlu/du7coLi7Woo9du9bWEMoPU9Y29uzZ8x953QqFQqFQKBrrKOpdP44EFJyxadMmMXjw4OP/rssoTpo0SXzxxReaPF96+v8arWpqarSglHQevb29RYcOHcSiRYtOeo6zgXIUG+HlBwefnOJwc3PTIoV1RaatW7cWF154objpppu0DiWLxSLuvPNOceWVV552x7NkYWqR8PJ1npK7qvuIRqdiKn55B9rixvFC6dKf34K2wxtwekiS8giOCvmXuCpMxmnegFCeEsmfUbsrc0Zel9o0bV5oO5EZVT+qaanAF4A4P1xgL1mThYv3B1x5K137XS7W3WxONPYkw3MXQdtX3v3p2iGf4m5LyfIrcDTjy3IcMZKkhF0JbY+buHj50Sucj/GSJLnoqNSX4XR7Sim/CYzJwbqRej8eBa8IrT8Sso4eLgIQ9h9xV+zRkffTtfujsLD5yyGH6VqrCUcc5x7jN8PBqfup3RSH9Sx9UnAjhEaXIdAU5OAhp8gVeMSjG3lNGtH4M3xzOR9pd1VX3DHdf+u3dG2z3hOhzd/AyzQMOTgq+FYmP8+mLSZi7c1440/Fjc67kyX3fP0bXdvOF1/TdOmpzn/uojHnXE49Dxo0SLApytJZPJHp06drX383ylFshJffEL799lvNORw6dOhxwe233+b1GYp/jrbtO4gDx/I1p1+hUCgUijp0ugZOZrH//TWKfwc6B3NnFf8odQPJC7ctESY/55GlklA88sg/f2+jmyxGz+G75HkjcNHxMgeeCCB5exmOVv14Ga7nkRS8hyNKR697jq4N9cZOYIyNF4ZvMONaMU8y3k3S3hNPUMl85VG6tub+d6Gt2Z7f6Vp7Bf69a1vyWkAzGf8ludDH+Tgtic5FQwprWJlp5o0hl4Ti+ijLetyAIXlU4GjU8z58MktZj8uhzd/CdSOFDh8fS/P4jaV1CI6SR5fyyN0SC34vk0O86VpPI6lvK+Wagzk+/DN86k88Mei9JF7vaS8paHRU8KBfG2h78HdeO/fzKFx3a/bn9Z6FT+BGuJjpT9O1rMnKVa1o9Yb50HakP89ktMzD58MsgRvZJBfF4uuszkXDYb4bjnSGlR+BOorBbXuJkpKSMy5JU3cPXtCzl/Axuo6rVVitYsT6dWfltfyTKEfxHKbuIJ23LVX4+DnXrWseiC8WwRu5APGDFT2g7dbePH3YshJf7EtC+IXE14I13GxeXHDbPR2LCFfv4t22R/riC7Ytfae4Y+oD4r3XXxEtk+o7ujkCp4CNH+BUiyToduzcGkr4jfHRXfii++QgfkNel42bN2L8eJrWRVOsSMrCnZz6QN6gQfXuirlo8iY/PEqv487v6FrmSFhb8lS8MQ/LT1hDeOPPDjKmscU8PN5N4n0FHofocOfOnt6M9Q4PWLAOpiuS/PkNs9jFRDV/DzY3my+u0eFjJ6WIj8OMIh3ER0r42nIi9J9VzteOaYEbpbxLudbtUXfczbomg29QRiQGNlqvtKQGXwBcZWB9iX6jGzmPJJXh2JnXkftkVGTEWXUU/+zTu8GO4gVr1jY5R1GlnhWK/45tXLF6rfZdoVAoFIrT7np2NM3Us3IUzwNMnkbh6+l8Nxyy9Ve4rqwXH9N2RxXeJQf/hIuZJZYbsBRJJdmNSvzzcOo5L4xPV0l1+58q/an06cyjZC0KsDbglv9KBekslUJXUz/tnlKBT5Xet3FZljI9jvwUePJU+zPd8JSbQ2U8GRBG9PsSCrCWncQBpiDUcf0u3MDzaTPezCQ6XgBNP+XxXXg/X/w3mY84T03V4dv/CmhblMajM3vzsBTN3SYuF9I2BEejf+3OZVmurMCp1ty3/kPXFt6Eo5XNA/i5kkLCgob9WHZH4ttqELW7pa6DtsOheNKUZMURnIr1duOTatrl4GP+UFAvunZzJj4+OkTw6KynDcuQ7ddhyS5JCClrGfQ7T1v79cfNTEfaca3LZh5EnNDOr++dn8SZnVkP8WMjjujkDnjN+fPaqv6OZha99uXycY6mOcNEOYrnAbkVNaJC5zy9kdwen3gBJbyzsdoXa6W92wrP8pVcQ+6N0b78gm0PwOmU7HKuntpHh50Bhxu+IUs+z8eCy222vqZ9t2xdLGpK6js6t63GXY8rnj5ZLulUTHb8Zpl0LkZpbcNj+JI64po7SeHXuDN9z9X8JtMikDsSn8bjv+lwFa8VO5aLU3UDfn6Mrg1+DOuGvpCIBZUlFxXj4zLaxJuYLgghjrOd13MWkg1Z/2ZcczLViksx4l3MCY/IxvOai3x5p/bc/bhDPLktLy3xzON6pikh2BmssfLNz+Vt8QbFuIKPMNMn4HruHh7YIZd0b4evLUVGft15dRMWzc8q5iP8XhuCyzj2bOcbI+9pb0JbzGI+wjOn343QFlnNy2XuuaIDtLlyo/SV2CGferHzz89cXiZu5KfCX8fQsIiiUBFFhUKhUCgUin8Xep1O6BvQ9Swf1xRRzSznMHWFtLnpacJkcp7e0NlIBG4f1yTbFoMjUv4efA+RaMG7ZIeRR2dmZOM03thm/PeWGfDu3d1FasBd4LTGwJcWiYLdq0Rw237Czad+FGfunb3h2vIaHlEKNeOC9WUVfCLIIH/cfV7sxdNWAQfxFItD0bx5I8HPxQVv9Y/QpHPn3Zii80hompvBmxlGh+Fo5MH776Rr4y/Cf7PexVgy3dBaMX1nLEnnCgFDI/BxaXHn0SjPfFz8v12H9fkk7Uiw8mgVP89iHTjCZiBNMpJsfzxdQ7Irt6LRE4M6ChzNml/GdWNbBOMSkKRyrhBhicJRMsMeHPWX6ANwJ6/NP5qu/TwFX7Mmtufnv5uTEpo6sp6fRtdWTsVqC/6f8OY92+245OHhP3hZygfj256TzSwrRg2GY3RPpNxiFQPmLlXNLIq/H2NBqjDWOL+R2Ymotr01dwYCLPjjjyK1YJIMM75JOZ67ha4d+zieQa1zkcbbmodvMtVWXjszLA47qCsGlQkxSNZHSkmZ+rIyhkMr4VrzfDySUPJaj7uh7YEo3D0usTvwzcBk4w4Kc9iSbDx9lFrOheEj+2Ih4BVHXMjFHMObGzcXu/YiD5x6bPUMl0fK8sOyTUUkPSxpSSRuukdxZ6+IHJaFpdwxbuGOj9kk3/rjPk/EQt7LIC8eHyh8r7YUwxmG2/AIRondRfp4UAS+7thXcAFqRwSWommbwGVqvtqKj/lH47ikEyu7PhyJawElyUbuWDPCfDwa5QhKrAvxPOfcO3FaWtLJDT931X14RJ/EsxJvMm7py9U0LF/jkhifCfc4/blbFZYB+9ubWexNM6LYNCsvFYrTJL+kTHz2xzLtu0KhUCgUdegM+gZ/NUVURPE8oCayragBYWx9DW4qKBY8BZhTjgupI/7g+m6xw6+Gtqcv5F3AE2twlCR21Ud0bUTvm6Ct5aG5dO1s20BoiwrvLG5//U7RcfwUEdS5vlZf9Q94lFrQQN5Ucl8yzgHarPi90CCi6FVuvNvSKwo3HejSt/Pf62LUZM0nWCjcYyRPTQ0MwMfsxgr+N/mvxREn74dxN63kg4+wnuUkUwZdm2ZsD22FVTwa1TkHl4CUN+NdoMO/wSUenxzmYu1xj78KbW47eLp0ogkrJsx0EclOu4qrLWR9/Au0dexXO0oTkoqFoKN1fJP3UHdc5pFp5yngqDycMm1b6WJz6Y6jgkWh7ejSUYVYVN9g4ms3dMUNKT3T8XhPSU2Xi/DvpSulqDY+v3tXcJF4R48B0DYzw3nU31zOswFnAr2hdoyfy8ed3qjn8wZVo3gOU1cfkZKRKfyAo+hfg9Majj04XSqxdsMSCVuyeTeumx7vnLp4Y0FtiX3HUmhzVHNZltxV66HNFI+7qTX7oDHQ9szGYvHUtWPEE1/PEfHJ9Z2CaBN2ulsEc2fvg3XYCTG4SLVe1j6y0UK/I9zxBA3rYV6TpW/L02n6YjxH1hqWRNfaluDuVLe+XLZjaw2+2ZtdqITP34c7eTelFdK1Rw/gdNrmF7Hcj4TdX1JLeOq5uT+u2TOU4s/A1eQlfbaLkodILENV4cnrak0ZfMpN4fyZ0ObrROz+JIZh58ct3/ks4Doql/wEbYYA/jfZh2Ox/meXptG1Tw3A53CBlZf4VNvw7Tmmhn/+ExcUQ9t3Q3jZQnUoVi7wIHWzrgTo9S7SxMZCrNRxLMi5Y1xWWiraJkSf1RrFtROGC98GjHctt1hE758XqhpFhUKhUCgUin8Len0DdRRtKvWs+IcoqLSJaqPz8LrHvA/hOu8uvJllfhrecfaK4buhQBvZGbo4WXTdL4a2JVk8jTdg8PXQduRWnrbK2YCjaKNHjRFPye9eWaKLT/305xwL7uR0FZN/piuOCpl9eYr36x14pvKUTlgXUnK4Ams/hvbkaSvvfK6FN8eKowYtq3mENWHkbdDmcNFRmzTzJWjzHY+fV9KnJz6mf43moyPHX4b17Bam8wj6BTY8RzjXE6e0JcFe+BJt2sBLLaoGY11Jv0CeMagkUcOZe7EIvKRVCO5clbS/uTu0Of78gK6l8fdCnKbXnvuyh6Aty8yvO15khN8TQ7ho/qDX8bjLb27uSdfGHcVlC7ogfu14YQwuPdlSyfVq9+/Dn/Hl5VifU5Lrg9+PkFVYLUFy0dFu0PbBFc4vtNa/ISmqa2gzS0O0Fs9DlKOoUEgnw9tLDOjeSfuuUCgUCkUdugY2qqhmFsU/xrbsMuEN6scTW3eB67YE4t2ZRhmucXO1SXMQYVHdft5U4CjHkcyWc3mRvfHiEdCWMH44XZvbD0dYwtd9I+Y/cbMQ9lJRk7q7nv1CPxytyI3Ehd8SPYmSFblxLbQr2+GoYWopj4LE+OFIZo2N1/P52HjtXJ9YHJ2rIXVVGkRqxu7Jm1ncvHGtqMODrz1SjWuMNmfgek5Jm7BYaBtuwlFfDQuOzvUK5RsT/ZY/oE3XYxRdu+AQPu48jHwiTA8ffHxMbMFfc5meN9GxstxXfPnf9DAZaWhtyTMobos+hbbYQB6dz2mDX5ehHI8VlKy8Dtcomr35Ldie1KvRWpgxu3+DtpEzuKTTm3dg3djZbrgpUDLIDX/A+qE4IyS5aAeuFV6V7vy+UVn+N8jj6PXaV0Me1xRRjuJ5wNgoqzD5OXcKdMfwRbljIA+DdySF8sZCLoy63Io1y7p2wk0jEsMs3FEd8zxOpUvccnFKdJGF66gNczKar44n9QOFzWoVBqPR6cn+aGss1hu65Wf6e3O64pR4ZTV32LZm4bTmqGb8hlzwxlRoc78bd8RKcgL5mLZqIix3qJCPJRtkwn9Tqo7fsHUjsVAwGamr0SJvI7Q9O4CPtNNZcarWsmoeXevRrlejG1J2NMObnw5W7qAaDfj4GBLPU+2rj+Kbb1IQdxSbVx5qdKPEIwG8K3ZuDk5bX3D4C7rWQJxBnZNykxPxNOJrab6ON8K4+WOtW98l2HmVVA/BzTul1byZTdceqzG8HsYdmt4x+P14ey1XCOgfh48tw97ldO1NNfjaoNM71xIutZgFV+79G2c9G5qmo9g0/yqF4jTJTtkrXri4o/ZdoVAoFIrjGBqoodhEHUUVUTwPKHILEVZ356m+SWtwSvRhE9eX6ueOIxILqvl4sKHR+NBx6HnqUT8K7/8yq12caB+8A00Dn3yfLrXocAPHhPY14hPte4To0LF+mvEwGdPn3/1y+nsXp+B0ytCEQLo20AunS2+clULXvnwHjtz6GngkM4tnnsWIpxZD2+KnhtG1R6w40hXgwVXaCivx5xDlyy9nBwWORjXfivXqJFkLsO5c2OP8uHtrE54I0ieWf/6+Hvh80LlI8V/QHD/3qgzegBND5KASy/hmavBMHtpddB2+7mQnck3SC/X4uauaTaJr80jDyn0z65ebnMh0f/x7e3njUhrJgE+x5EvvdjyN+6gdf8Zt3fnvLXfHEdR24fzeMIfIQd3Xh2dufHJws8tMT14O1XM21uC9K3aK059bKnlj1hlLPRtU6llxnvLHAKw76PDhF5JUPa67auXJ09aZJOsRU81TE3ZvfAPb5UK/cfjD2PlxkNo3iZ7UEj3758Hj3/331X+eOwfhLt/BIfyiO4Q4gwFLeJdnD2JbEsZT/Nty8Hs5LJinrWIsXM9y57O4HmxtPl8bTJzfWDI6TGI2ejdak7K5F+70NARzDU6/R/4P2vYV8Pfylq64O9UzYwtda/fENawFP/BjR38zFokfGs1nKjvIW7mykmsdfj6Ja/QtLcSCzEMCsNalxGbCn5MnEXqW/JmC0+kzLmtG1+pS10CbnozZlCy4ty+0+Rzln/+LG/Cc+IcS+bVS540dxZhyrjnZLQp3LvtmcbH+yig5CtU5F7goX/a9zrkzKPkx07leZWmFWfCClb+OTtUoKhQKhUKhUCicodNSy4YGPO7sT4n5J1CO4nlAgKFGmAzOc4FPHMXRiietfPrCnHIcNrg7rrzx6vulvAutzIRTFxeE8IiCjjRR2F1EFGt8QqHtvsHNxcrna7+37VBfB67Zrln4eWO5fmNVBU55VV1wO137ZwruXA0z8/zwwQISUQzhEaUyP156sPxICbQNctEoYZyBtRCridadJGbPQmhz2PhFel8cTmu2oSuF8N29ANratsQdohK7DkfYbKE8Opevw92pIX14l6/FiM+He/84Qtc+OgxP12k9k4/oDLrmLmr3CcdRQctiPLVH4haPm6zmeGAFCElyiPNmCA0dP3b2RuMUcbIbPhdcaZLu8OGakzd2xdH3/6zmn+G49jiy37XKxRjGSpxqN4VzDdbHfsOlCS+MwhN/JJ6B+N6g9w1x/vOysvNWHmfFihXilVdeEZs3bxZZWVli5syZ4tJL+XSqZcuWialTp4rdu3eL2NhY8eijj4rrr+fd5H8V5Sie5odnsVi0D2bu3LkiNTVVG+8zbNgw8eKLL4qoE+bjFhYWirvuukvMnj1bU3UfP368eOutt4SvL5clcIahJFsY7M5P7EGJ2PmxHlxGn/eurlhE+rmdvKO2fAe+SN3dl3fMlpTjFGCLg2vp2rRWo6Et2p2PWNLPew/a4rtNEgs37RbBIaFO5V1mBg2Fa8daeMrryy045X1/P57yusyAO7VTEnHNneSjaJwCKn1tHF1bfg2eiywZFYsdzSMuxIutI3A3toeLte6khi2yjNdsVlmxM/B2cTxdOzgBd662L+M3bIcBH5f6jB10bVYQ/oxrWmGpKEnkJry5eWMMvxkdLMKbkFaTH6ZrD9Xg8gBJ8VgsNRP0w2y6tqQaHx+LN/KSlyBf7LD3DeG1oj9ux3WmT3Tz4Zuu+T9AW5sW/FppaIk//2c78lKL947g0qOObfiYzdS9+JoW7sM3mR93wU5mGhEul+wtw8899Qvn54qtuuLvmcyib0DX82mmnisqKkTHjh3F5MmTxbhx/JosSUtLE6NHjxa33nqr+Pbbb8XixYvFlClTRGRkpBgxgl8P/grKUTzND89sNostW7aIxx57THtMUVGRuOeee8TFF18sNm3634zTiRMnak7mwoULNefyhhtuEDfffLP47rvv/oG/SOEKN3d3EREV/U+/DIVCoVCcY+hOM6IoZ0SfiIeHh/Z1KiNHjtS+GsoHH3wgEhISxGuvvab9u3Xr1mLVqlXijTfeOKuOos7h+Bvm35zH6HQ6l+HgjRs3ih49eogjR46IuLg4sXfvXtGmTRvt59261XZ5zZ8/X4waNUocPXr0pMhjQwaS7047JvzAgPEy0o3r7cYP7FAyHiythKc1NxzF6ZYrj86gaw1EV8zRcyxdazyEI446X57ytHvhqMGc1HLx7gtPiTsffkJEx9WPLnW14DS+LZBHBQ05OPVkzcIdkRKdN9YzK21zAV377U7cXXpbC35sVJBCeIl/No6ELbbjsgRJahGOVnSO5KMjOxvxaLGDet5UkORGIg/7cbOCZJ4/bkhwc3EDGcpfFmVTMT5Hu/vwlFupJ842VLvomA7R4wadKgPXUfS08NeV68ARuKhSXi6T/k7tDdIZ4QN4hH1B4uWN1pX0PbYV2qpieco7i2RQsi7hTkK3Jbjb3sKFC8QRcg2vIPcNSctgnFEylfAIujmQR+cZ7H5mAEMeykpLRctmUaKkpESYwH2ysdTdg/c8eJ3w8+CRVO21VNeINi99Ve/nTzzxhHjyySf/sq8xYMAA0aVLF/Hmm28e/9nnn38u7r33Xu3vP1uoiOIZQH5A8kMOCKiddrB27Vrt/+ucRIlMT8uw9Pr168XYsc6doerqau2rjlN3JYqzR1lJiVgy93cx6fZ7/+mXolAoFIpzCJ2ugV3P/62Tz8jIOMlpdRZNbAzZ2dkiPPzknaf8t/QVKisrhZfX2RlBqxzFv0hVVZV48MEHxVVXXXX8wJAfZljYyREZo9EogoKCNBvihRdeEE899VS9n2/PKRfeFbrTVsHPr+T1XgYHtltcRByujcNrza25Tr6xCusKGnP4RBhLEm4csOn44cz+pNaO2rKB1o4s0cVef7yZzQ+HhXZW8ItAR18cQX3Pjae7b2+PI3sZRThSIbmlM37NW3K5pMvhTNxEIxkXg5tdunrwOtydOTjiVO6ihumQewS0xfjxGlX72l+hTWfka5sH4rq7OBNf+/0+HAXtHctH6fV0wzqp5j94GYtjPG4MCi9zLjVSx2FPHCU/WsZrcnvs4K9rdQKO7PX4EstfSaoexJqVRS40OEduxLWChlCu32j3x+fShC9xtFHSNgZHuR7+EzdnSYqq8PmwMZNHbv3c8fVwoJ7L41jW72nUpCnJsQJco9jJh0tneezGk1tsRaDR0cyf859IPZtMpjMe3fwnUY7iX0DWHl5++eVCZu/ff5+L7jaEhx9+WOtmqkPuEmRX04XeOcLk4zxtNoeMqO0cwcdS3T8fF/+/2Z2fFLnuWGcr7Mh6urZgHi6y9739RbrWQOq3s8q44xRfhVMmDp3h+HeHvv5pkW1w3nEniXDRn2QTeO2YVnwHaCjD6eMoP679ZyjGTsZi3vchHujML3KLcvEHMTQbO2SSKzvi1EpEARbrlVRvxjdlt46D6Fp7JzwOz+6DnXlJSyu+GVlnv07XWhKvhbYAT+7cHNbhjUTwBN5UwsZD+gXz9KB3Df58o8gMcYlHZ/45RNvxxipqNJ/XriMzqI25fJP5UDUepXgvEaeWHCvDadzvr+WlRB6CXJdWfUPXGvvjY2eMDw46SH4owqUHh2N4n3+zlnhjFCJ488gvGdjeNYpvQH/ww538V0U515SsKas4b7ueT5eIiAiRk3PyPUH+WzqlZyuaKFGO4l90EmVd4pIlS07aPcgPMzf35N2P1WrVOqGlDYEKXhUKhUKhUPwz6M+RWc+9e/fWFFdORDbMyp+fTZSj+BecxIMHD4qlS5eK4OCToxHyQysuLtbkdbp27ar9TDqTdrtd9OzZ87R/X4Zvc+Hn6zzCs+0glm3o8duz9HmfvoukeYp5aqr8EazbFHbrzXRt2XXPQNvygzgtLekahSNdMb48OmPX4TT9WkOiGH/7dO37ntz6j7uqFY4KGAt4Q8pmPU7jdQjmEhfFNhw19CE6eZJsTxzpuL0nX2t3MYZxWAiJDITxEX6r0nHR9TgjH//GooZ/lPA0bkY6jgpO6cQ7A4psOIoW2mkAXXujWxa0FehwtFnSzIHT1rqUQ3RtdjiOoOnceYo/rBSnKryCsayWJOejj6i9+704a7DjNq6j2O5WLPmi6zeern1sCI6weZPJK5KqCDwjaX8hT316u+HrUlK/K/jaQpwiXufgo/S6ROKSiCAvfq3U5ePze7GZR19va42jkRYP/BlILvfGUmKrK5xL+lTo/wYdRb2ugZNZ+PX8VMrLy8WhQ4dOkr/Ztm2bVqYmG2NllvHYsWPiq69qG2SkLM67774rpk+frqmySL/ip59+En/88Yc4m6iuZxcfXufOncXrr78uBg8erH14Uq/osssu0yRy5syZc1JhqbS7u9feUGTLuwwJy3b2Onkc2dxyOvI4dR1Xby3eKbx8naeR92bhhpeCct65HBmAQ9VPDsLj/SRu2biGZYcHF1Vl6bbYKjyySqKrxn+vNYin0746iC/oN3jsp2tn6bHI7Fg/nB6W2MjIQuEkzX0S+/ANbFX4YLq0XwB2up7axNM1V3Xi6bRYUg/oapSeVxbumLZl8Y7Kdx21Gy9n3NiZp+JryNzco6W8bCFp8RvQlj/6frp23kE8N/fGNrw8JKMav88uyogF+XOFl5uLz4hsQkIyN9O1DlKTK/kmB//N41pzR8K7ADvHVhfp9Dmp2KG4OJo7AdalOEW8rC1OD0uGV+IxfUu8ecd0EakzH5HEtR/3k1GaXXx5nanDiDNbDiMvPVhJ5ruyGeKS5p6kdnrLPKc/Lq2oFGEX33pWu55Tnr9N+Hm6zvaVVVWLxEfeb/BrkeLZ0rc4lUmTJokvvvhCE9I+fPiw9rgT19x3331iz549IiYmRpPqU4Lb/wBSD/HED6+ublB+eLLF/ffff9f+3alTp5PWyejioEG1EQ8phnnnnXeKoUOHHhfcfvvtt//Wv0PRcIpLy8XKLTtF/y7tRYDp9EXRFQqFQtE00Z2lGkXpL7BYnXQWna3ZupU3UJ1plKPYiA+vIUFYGV08U+La1/plCJOvc+0xhwfeNfabzaMGb9yDteGM+VzPrDy8PbS1K8fpcMl+C44afJXFpxz0isWRrnWHuI7Uda2wA7hjRaUYd++TYsPv34guMfVTxX0C8O7QZuNpywdW4nT6a915x2xFpzHQ1pmuFOLng3h3XlnDO+JN7jw1tZdEK7q643SpxFGOPyd7FY903h2O0/z2Sv5eluiDRGPxGHUjtNlY6E52n4fhiLO9nKctm5HozTsH+O9lEdaV6Vx660ILjvqO38AjJdf04pGuahvOdPzfBp5RuLcHjhr+foj/TZdWboA261Le3WUfeQe0DXGRbfxsB56+MiaeX+/u/nU3tPm6OEeLqnCU3Gzhkb216Tj1PD2Iv1dDAnBqeredT4QxG/H74d0FaE66GBn7T8jjNDWUo3geYEk/ICw+ztPE/dbg+rerh/M5sjlkBrHJxQFvfvsBaDty/fN0beLyd6At3sW83px4PP7tWv1OurZYh+vbaoISjn+vCq/fERi0Bktr6NrjObCSpwp+xEYblgqRFBJ5jNhK0vKuzVzGx8bYwz/TtbliCrV39cTOb5YbT1sH7/kJ2jx78K5XJm6uq+KOQoQHthfr+Q1bn403TsEJvJDcUYMdK+sWLKgs0Q29AdquwxMaNbz3L4W2JUd5fVvL3ri+8ftruENuMPPO1vz38azvwGm8g9xsxc6xvye/nRl88XGZ05Ifd9VENHtfPk/jXtcBS+tUuFDNvq4X/pySQ/ioxOaluDzozSye4n8wAismWJrzrvYVZBPS0o/fV/5vPd4oPNTcuUNoLONzq88EOoNB6A2GBj2uKaIcRYVCoVAoFIpzXB7nn0I5iucBFT0vF3pQGLsuFqdTLM15ZCebRBQdWTwFVDblBWibu5s3d0wbfCW02Xz5Tjd2xwJoO9Scj7RrUYQL4cv/u7OX30uciD6HdMZzNDeU8iLnoj53QdvgNZ/QtUd73gptAWFYy1ISnrIK2n5tziOZbWp4pENfjdM9vj78uPu5xXXQ1sJFZM+cjyOsrb7iGpy/jPgPtN3ehTeVCNyPInwqear91YP4MnuPnkcg1mXhhqReKViPVKNtP2i6I44Lvf+8C2v0TY8lb4aszy7lz935Rvw5/bwFd4hLppB0+qBwfpO2WfHrChc8KvXWXmy/uSs/3t3TcTOL0Y9f7y5ojpsK3UlDocSajTMOY1pxHcUVJTgKfnAHv75PaINTz6+t4s1qj/fD8nHPrnMeTXZRrXJG0ClHUXGu47N5pvAFqec9bcbBdXv2c6mZ8RH4JmQ9yutQ4lr0afSN5JHN+CI0oQN3UDwScIrIi6lxS4ebyHrY0neJpFbJwmZwP+40nkilDjsS1USMWdIuHDs/xlG30bVd3HB6yePgSrq2IB7XoI52MQfcuIk7IdYOWALHz8yFgEtIY2N3f959XPXbe9D2av/pdO0NrfEN7GgFr/eLLcAOjK6EH+/twrF8jiF0NF3bvxSfh5mr1tG1Uc1wbZzZhVj7VI/t0PZpIZ+pXFzJp/5ssOEa1SEJvGPak3TMv3iY10ZO64X/5tQyft2Zsu8taCts+whdaySzoD2zucB8+j14uk7BfiwlI+n+05fQVn7zZXRtn1ux3b8tn8zCeKodf58dZfhvuq6zc4e8rKxU8C3iX0enb2CNYgMecz6iHEWFQsqftEoWf6zgE2UUCoVC8e9D9y+PKCodxXOYhugoXpiEd+Bhei5ebCzEHaSWSKwbKJlFopWu9L0qSQF3qJmnvO9Yhf+mNy5KpmvdqnAk47CVF4bHC/z3pjl4N23YLJymN1+O06GSSDLSbo8PjhhJWjlwiqjQh6cH12TwxpB8c02juss1tv8JTWN342YVyRvj8HG5J4/noPw98L6456YP6Vr3IVdDm8PAdeVe2Y6bHW7pzj8HT6Jn6GbjkWydBUf2HG68XGJrAb4tdM3DJQ3acydwbcA/c/HnoHehwdnxx8egLezWh/jrSsEp4GfL+PVuQnscjUwI4J+/eyVu7rEu48oYK9thjcah3rzkoXROrUizM9YMvI+uHVGN5Vf0nrw8pOYQjvp+FDSq0Wnr8Gznn19peYUI6jHqrOooHvvoYWHy9nT9eHOViL75hbPyWv5Jmqb7q1CcJnt37RBdEmO07wqFQqFQnJp61jXgqymiUs/nAVfH64TJz/lOe0spjuxEW3mdoSUcT1AhKhQaYxPw7irDzDX6Ynxw1MC+kwuJXtkF18YZa3hB+lUzcSH1A0nVoqK8TIQbqkUz9/qRmLJvcG1c/CReozSi4kJoW6DjUV9LCJY4SlzNoxFlAyZB295cLunRL47vhgsrmYwRrzPcn4SjCreH8PeD0TWSN6TsyMHHh0cHXM8p0VXgOsTSsLZ0bcdIfJmtdjFeJSgX1wq+cIRHsqf1wY0Q+u3z6Vq3aCyBssTEx5AGTryK2oc/iKdIZHYYS9emXoult3TuPOJTloib3ab58Fuh5VMcyfQawxvDqrfhWuJd3SfTte/OwxOjBl/Go+8bh2ApseEuGn8KBK6rDa7IoGtHp2HdprkeS+jaRVlYN7ZLpPNIdVkpz36cCXR6g/bVkMc1RZSjeB5gKMsVBuH8xt4uAnfNTfmNp0Te9capibWt+cV+wFF8o4lPciEFnYdTJo5W/CYU/+I90LbsVjxmTXLXIOx06bfMqP2ee0gYjtW/iLrd8DRc+8Uu3gX40TXk/dBxpyrHilOEOxL4TXX45l+hrW9LPLtWUm3kIxy9jNjBMaRvo2uTw/Hn4BPKmxlCvfEl62gZH1nZIRynxKev4jOXX+yPzzPPpZ/RtfmRF0NbiIuNgtWEu0BzXdwgDXvwTTk1YShdG0PGbO7L5yn+AXeO46+rBR7D+NpyPNtY8lZXXLbyw2HeQXylP25Ishl4c4/Hzc9Cm33f/8arOSN/EFYu8Lfy5o5pw3AD3vICvnaYO3bo8nW8TCeoBm+MRszgTTRTyWsuj+FlCSPKsX6jXTgPMLiBe+MZRW+o/WrI45ogylFUKBQKhUKhQOj1tV8NeVwTRDmK5wHWoARhNTlPq/20G+/uPhjGoySv7BiJp6tsxTs7SathOGrwyx4eYbslE8t6eHbnjRAxj2AhhA3HeMq7ZwxuWNkdXKsrlhvcRhyNOHmGt8SXjOm7wYK1LCU1vhdBm740l64ttuMoSV8X6WFHPI44ltl408CSFD5dI9wHR6u9muGpHhL/XfOgLarz6EZPqkk6zNNaO0k6dXIPPqkkw4ZvAFHD8Hg/ycQiHNnZZ/ana1sX4Wam15N59MIahT+Hg8d4FGZ4NJ6+0ucb3jRivJpnI/L98Bi+l41cVzTlJZzGHf8aloORTF2AG9Je8uGp+HWJl0Lbwmz890geL8FSUxVdefT1pq9xA87TY3kDzoLqGGhr6UQr9kSCMvCUq2+u5ZOoggWOONuXf07XZq3Hf2/eLa85/Xl5BZ8UdCbQGQwNmrrSVCezqK7nc5i6jqsthzKEn59zp8CDdEWuOFLc6FSMzs4vJM+k4c7m23viC5RkSxauFYvzd64XWUdzT9zJWWHg3Xj+ufjiV56ZLvYfPipaxccIb8/66V57Ek6J7yrnKf72RxZCm70TFvKW6Kw4nVqm553aphrs7OmzcO2T5N4DfJNxd38s9v2Gq/ThIFxbZ8jHnfiSQ0H1nfg6gr1cOE4kU5deyrX/2m39GtpSe+CaO1e0Nu+jdps/7oreUs4//05huGwhtZRvqlrmYKkoW3Ouo2jM5ELQDk+8GXQYeTf2QZIiTvThqVhdNXZgLN685MGwAn/+5r7XNHpUqq87j0CFGfBxqSfd1BKHEdds/pHNz5WLfTKhzRLWkq61/4mdfbc+l9C11Qvx+yzGTYf3yejIiLPa9Zz9/UsN7nqOuOrBJtf1rCKKCoWci+vpITon89nYCoVCofj3oTMahc7oOnKpM/IN2PmKchTPA0qrbcLu7jzCF0EmbPSM5juaDANOewV58kPjoVCSutLxpoKHvsLphY238TTOHjMel+UH3qM6fDIOQtsxjzDxyvufiQdumyzioutHLXIdOFoZY+JpXHs5juweNfO1u/PwhWdAM75WOHCEpTS+N136RhAe/yWxe+AmnFetc1y8LhyBsYU2p0ura3ACxNfF1eznfTj1eHUAnybzXSxOEV7oomPWb8NP0Ja/jTf+BF2Lm7dm7OQZA3NyOLT5uzi/r9+Bo75f+uFRmBKHl4tIShHOZJQ1x2MHJeFfPgFtxuGXNvp1udv4NcveE0fC3F1MhAokjUEB677lv3cg1lGs/vVNutazRXtou6ALLoeRHK7AUd9oPT929Bfi5h1RyEf4uY+6Bb+mcufXnPIK3hB4RtA1sJlFPq4JolLP5zB1Ye/UjEzhB8LYpmrcnWb34ekUnQUL9j68DKceJHf3ww5dtQttncTcjdBmTcKjASXGA7hGyZzUn64tq8GO5NFta0SvISPEuiULROeOHerZDTkH4FpbOE/FCDLiL8XOJU7KarCj2CGEp+kMxbjO9IdsnuIfn4E7piXunYdgYxkXAv6xBndFRkzindz9F9d2pztDd3Q3XbsvHB9bpdU8EpAUhNNOAXYuy2QsxiLy1iC+MfrtMD52Rrfgx46Z5Nr9XDjVK4/iNK2fO18cbeKlGLnkxt6CvM+SY2V4bfM9fOykuQceS+e94Re6tqAz3igUu6j3i/HD78eREu6g/rwTO9VPxPH65uwI3GFsdCFsviMHf/6bj+HBBZIH4nE3vjWNn6OiK65RzrK6wxF+HRJizmrqOefXd4QJjNE96fEVlSJ83F0q9axQKBQKhULxb0GnZj0rznVkp2eNm/NdqyltM1w3y5Nr5V2QiBtSXuzDuzGr57za6HmX9gtxl2haCU8jJMbgTj8PK+/k1Hvg4v9j/4366axVQmep/zx5kVj7LTiF66g5LDhqkBTHxZr1dryzt1p4p67dD3dMXxbIIzeFs/nO37YRC0GX38n1LPuSconI1Xi8nyT13hugzf4c73ptsQtHSQ3teDTaYSHv1wHcxS851goLru/P4cdsiDeORm3J5nqGYaQzfVsJH/83xB1HozcKLvQcmbGG2lN8caTLw8Kjs0Fe+BzOJ1E/7XVl46lLxd1xtFESemAptAU370bXzj+MP+NRATw694gOj0t8Kp2n6R8Nx+/lr2k8Cjo+DB9bbVfz8zu9/cvQtjuCj6wcbseRfYfD+fH8t+RE9UpHUaFQKBQKhUIBdRQNDXtcE0Q5iucBMZu/FyZv5/URhf1xhGWsg+/Oyz7DY6lqbsKTCCRZI6dBW5w33+LlWfAJZyV1hJKq39+HtoPD8MgqScdCXN+oj2wlbrrtDu17nnv9wfQh+3Cky5GIo42uakGXlPHI7RAzGcMYwGWIimw4CrbWhXTSmFu5Vt7mygBoC9Tx+qdwMl0lt5KvTXwa62geApMb6niyGkscPeXJPwe3fPw5WF3cQELXfAFty6O5XMjVgaQOrYpHFB1uuEY5djeP3FpG3Axt7YWLm+Ff0LXLd/A6sA1Hcf3b6DAucVQSUb/2uI5KC5fWKYzFEecJr66ma9+Y3L1Rcj+SZv0mQtuQLP75lxrxe9ktil9n89zw+bBzwpN07ZA0HH31WIA1VCX2zvgzCjjqvMFOX8k/9zOB7l+uo6gcxfMAQ0CoMPh4n7YO155C3uzQcfQEaKsR/MLZzAtfaAos/EbBCqmbB/BCeGMz3AjRNpDfwBxuuKP2cJ63uOC2R8RhhxCHndyMYiKwyKy/jZ9GCSbsOLf2cHFhqcJ6hTk2flPNrsAX0FG5WNtR4ijlGn2d2w7GRjsfS+ew488/ooaLtQsDfq+93Lij+PBA3DiiP7icrk2NxrOgfUNwd6kksBXesF2VjlP4kqJg/HvLavg5arPj4y4om3d5byOC3H0z+M0+d81aau99R624vTP0Ztz4IxkVi8sprIt4B/HilldD28WR/L3UV2HNwk9u5QLz7b3x+bC7kl873lmP34/7HPx9Lp6Jy5LYAAFJYE+8qYr7EnfxSw6Q52754ut0rS0Qjw71rnZ+HllLy4S4j6fD/zL6f/dklqb5V/1FVqxYIS666CIRFRUldDqdmDXr5G462Sj++OOPi8jISOHl5SWGDRsmDh48WXqlsLBQTJw4Uet8CggIEDfeeKMoL+cRPsU/R6W5Quzfvkn7rlAoFApFvRpFfQO+GsF7770n4uPjhaenp+jZs6fYsAFP+/riiy80v+TEL7nubKIiik6oqKgQHTt2FJMnTxbjxtUvkH755ZfF22+/Lb788kuRkJAgHnvsMTFixAixZ8+e4x+YdBKzsrLEwoULhcViETfccIO4+eabxXfffXfar6em40hRA1rtPQ/idOqm6lb0eYsCscB0X7B7q2MxCfz0WorTgxK/cVgry67HDTaSXwKxLEtPF5qEFlE/pVxHWOUOcd21l4j5S1eK9i3rT//4YAPe2d/VG++CJfMO43TZmKAyulZfgx1XD1/+97bbjJs7dJFclqWqPW7AcNVI4e3GI8pdK7ZCW2Y4bnSQhJDpKwX5vEEjUo+jZLnxvJkljpRxlBu4DMbqbLwf7xeNo2uSGXvxiM7Fe7g8yudX4Ein22V30LUDSONHfpfxdG24i2PLZsERNrs3P//NBhxF9/LncmDfb8CjFD+u4vJIv03Gx6XZRQr4hS34HL+hCz92psdi+bMjAVxK6jsHjnTekcYbv3RtB0DbzntJNkFGZxOxBuOTK7ns2hNdc0772HA0QAj7r6LTG7SvhjzudPnxxx/F1KlTxQcffKA5iW+++abmT+zfv1+EhTm/Z8kAlLQf/70uyn3+KkpH0QXyA5g5c6a49NJaMVf5dslI47Rp08T999+v/UxqJoWHh2ue/pVXXin27t0r2rRpIzZu3Ci6davtiJs/f74YNWqUOHr0qLb+dDScCnesECY/5yfffs/mjdYzNJAU8IrDWJxYclsE1sqriuAzSOeROcKfreIj3H69vjO0GQv4WpsfdhTX7dwnBvXvJ5atXCU6dar/O7x2LYBr81sNF43Fh3QAS77egS+ct8Zxx2ipGd84WwXz1HKVi9TUkWL8u9uG8ufWk4taUA12jCSv78Zd8VM78BGOuyvx62rjy7vtzUb83FlACLiOBH9cTlHqIn18tBR3zMeR55X46bHzU+KiXMJ//ffQVtD9Srq2ysV1J4IIlBe+eBdde2wy7qgtqeafQ/coP7LWxexjIpq97hjf7JlJ/eOFibjWV2Iswd3nOyzcMTZb8N/07Dw+wvPlZc9AW+v3+TxuXRoeqFDYcihdG1KE9WrzA53r1ZaVlooWcVFnVUcxf8n3wuTr7frx5WYRMuQqkZGRcdJr8fDw0L6cIZ3D7t27i3fffVf7t91uF7GxseKuu+4SDz1Uv1Zc+hn33nuvKC7mdeZnEpV6Pk3S0tJEdna2lm6uQx5I8sNeu7a2ZkR+l+nmOidRIh+v1+vF+vV4hmp1dbV2YJ74pVAoFAqF4p9D99+IYkO+JNLRk35B3dcLL7zg9HlramrE5s2bT/InpJ8g/13nTzhDlrE1a9ZM+z2XXHKJ2L3bhZD5X0Slnk8T6SRKZATxROS/62zy+6khY6PRKIKCgo4/xhnyYHrqqafq/bwkqIVwgJ3SIz/gFNGV3XlK1EaCyZOz8AQMSeq3uIYi9lWe1hi56zNou/iKKXStYyOevqCLSaJrdTt3QlultTbKW2l1iHInEYCc5ngnHG/l0ddFBR6N2vVLPIx4L5fvy3UUewTgyN27pEhecsNaXhz+W2s8pitpIB/D16x4F7RlBfNo9MSO2FZJGru01zXnJWy85E66Ns+Mo3MGF2mfz7fhqLCfi2amYKKj2MHAo69W0hjgO+9tutYQ3xq/JnceMdQ7eCo2+/lHsPE+/rraznkF2rz7j6FrMy34b2JNgRJPG06XJwTyprIaG36/VqTzYECId3CjP38HqVv7xZd3vRu/momf10VZ0r5o3PiXvJf/3poCfH/8wN15RK+q4m+o/T9NeRxnEUVn5OfnC5vN5tSf2Ldvn9M1rVq1Ep999pno0KGDFkV99dVXRZ8+fTRnMSaGK2E0FuUonkM8/PDDWq1CHTKiKHcM3kad9uWMGcOxE5LmjVMtkjiBHZwtgZPp2s5D8AzSHDN3fqL64xqn9/ZyAeLftuET4cV4XHMpSeiA68FqNm8XgcHBosahFxVOHMUP1uIZpTd05w5b5COXQ1vMF3xUnt86nAI0pHHx2iOkU/f6VVgwXRLU18Us6Db45rjXRTo19W08ozbhnvvo2pooLJ9hKOMd0z+2x5uQK2w8bbmciCZfuRdvfCTdf8Siybuf/pyuHRqBHRhdCe8uL6nGn4NlKK9RZBPeQs18Y6QjosmSyNumQ9shFzI1M5MmQduRndxBfSz7OWjzG30dXZvrg53uxPK9dG15GBbVT87FGSbJPhPuPtbZ+HV2ZTE+R/u34ZJe60jdZS8fnmpv6Y8701cFc5HwV7ee3BR6IvcPcz6ysqL87NcoitPsepZO4tka4de7d2/tqw7pJLZu3Vp8+OGH4plncMnAX0E5iqdJRESE9j0nJ0freq5D/rtTp07HH5Obe3KhudVq1Tqh69Y7g9UxKM4uyW3biXV7Uv/pl6FQKBSKcwzdWdJRDAkJEQaDQfMfTkT+m/kKJ+Lm5iY6d+4sDh06JM4WylE8TWSXs/wAFy9efNwxlJE/WXt42223af+W3r4sNJW1B1271u7clixZohWpylrG0yWv0iaqjM53j34huLN56R6emrg+Du/8y2p4VEBfiUdP+frxSKbZE3dF3hKAi/clt+lwofQhdxxtkvy4C3eJxvpzeYEX++NdsrDxMVxVF+FRisUWnsYLaIe7Dyv9eWlBTRl+L+cPf5iu3ZjGo0afJeGIQ/gvj9O1M67CXfHHDvAo2ZOeOLJr2YQbjiRDBuDRkTkuWvquaY9vAP3n9KFr13xTe11wRicn4yJP5GAVTj3vKAqha22FuGnssiTe+FMh8Ib1Gxf3o6vacRFpt0N4xF8JaTiTZJEmqlc68GtHel+c8vbe9RtdW9ASNyC+vZe/l5N98bU0x493+XdjurK5/O/1dsPH7OZQHtnrrcdNNBkG3tUe5MC/t9Minsl4c/x/oO3Fxc4PvBpz+Xk7ws/d3V3zEaQ/UdcwK/0E+e877+TlMHXI1PXOnTu1Ztmzhep6BoWidd659NRff/11MXjwYK3GMC4uTrz00kvixRdfPEkeZ8eOHSfJ44wcOVLbFciW9zp5HNnccjryOHUdV0VbFgmTn/OL0UE/nE4NIJ16kuDDeKJAfjOctpQEWfFNyLGLzz5+uhKnPXo34/IY3UjnYqCLSTS2Zfi9P6j3F+PvekzMeOcZ0Tapvsj1kHk4F7fgDu78kxIlsTiNd66NjMS/d3k+T4UMMuH6pw9T+bExpLnzNE8dq9Px676sDXGqZVomFxde5wTiOjKJF+kSX3AIH5Pa6wrEnfq2I3vo2pkm7LBfkoHruSQ5fXC6tNLFRqFlJU7FCQdP0x72S4a24N+4hJV3Mi4GtXcZTddmV/LXFaXDm4ylebzec1AWFoqvTuOdvF6j8BSrDWY+mafTOjwRSn8pnlIlmX0Ab7pGteDnWTkp4wgp4yoPdi/8N8mZ9gyrPy5rMe7iYv3ZiVjCLNzBazJ1Vdie5x0Du56T46PPatdz4cZ5wuTr4/rx5RUiqPvI03otUh5n0qRJWuq4R48emjzOTz/9pNUoylrF6667TkRHRx9viHn66adFr169RFJSkhaQeuWVVzStZxmYkmorZwMVUXTCpk2bNMewjrq6Qflhytb06dOna1qLUhdRflD9+vXT5G9OFL389ttvtR3B0KFDtS6m8ePHa9qLinOT6hqLSMnI1L4rFAqFQlGHTq/XvhryuNPliiuuEHl5edoQD9nsKjOV0p+oa3BJT0/XfIg6ioqKxE033aQ9NjAwUItIrlmz5qw5iRIVUTyHqdvNFOzZAHUUbb44/WQo5WO6jnjhFEKMO09rFH2A533mXsvnRAeQTs/RL/Fo5NY7m0HbehvXp/QkHcSOLb+L7pdeLzbO+kJ0aVs/nb/B6FzDSxJt4np2nqARyVU6XBJCul7HFuOZqhLzfhy5KxjLU8+vLef1mm8OxxGHCgPfeZsOk9Fjdl6gr/PFUZLycD5Kz7sUd3rriAi0pDQIj44srORlGvFZ66BN7+NCrFuPO/n7WHgErTQaa456LPyQrs1esRHaosdeRNfqWvNshDDgY9ruwY8dwwHcGGQjHbMaveoPT6hjzzV4nKkk+QYcRdUP441/rMmq3Jdfs5gWbqDgZQvsPDS40Gf2zcMNOnmByfz3koakGE9+rjh0+BrtlutcY7G0rFwEdRpyViOKRSSrd/JrqRCBXYadldfyT6IiigqFQqFQKBQInU6GCxv2uCaIchTPA6z+EcIKdidpd2GZmt+ue40+79T2pAnDxeSGgDtw1DCohkdnvjxUDW2bH+ANKaWeOILabTOXmrHm4BFee9xqw/wOm037OpUupN7vo308KO/vid/LblG8Nspix7tzeys+Su1gc1zczCujhHhjNI6gSfS7F0PbQ6m8yebd4VguZFUBr53sE4GbjvyysKaopDoa193lEJ1EiScpNG3mwLWPksptuBZ4UVesRylpH4ajb1YPHtm5fQaOKN85gMvBJB/Do9aMsTi6Ltlr5cd06Je42cl0B6+d3BeOG4daxvO6O2HBdg8XWYGyQVhaycCD4GJRNpapuSwoha71LcBRcHvC/wY6OMNbh8to0l2MO31oEz4PHx3Gr3ex++dBm72c12QbyfjHtEjnIwnLXNQ9nhF0+gY6ik1zholKPZ/D1IW99x4+JvyAo1hJwvwhvxOBYTmzcwjWrEsM5F3AQUR011CMO+Yktr049VixjzcVmHrimbxHE/gM0tgqfNEtK8oXa7fsEL27dHCa5j/mhx2nR+Y6F0at49OL6zfH1KHbiR0uSXpLPHPZ3cAvSnvzcdNA1/l4FJok4FLuSNh9sBBwvoGPJQskTVbGPUvo2spkXChf42LsYC5xBtl5JLnpI6x3t3YqTvFKUquxo9DcE2+aJIYM7Pz+oec1SaNC8Ibth2Nce25sMt6QHSzkrzmQzON2NbYyq5w77ItSsFN+RbuTRYtPp+Sl2MUIv4wSXIoz9sEf6NoFb0yEtlVHeAPWzb7YkbQe406moRM+V57Zzt/nR/rh0hLb3P+ja43Droe2lGp+X2lOxlIuB+LkFeVlYny3Fme3mWX7clj+VS8N3nGgSj0rFE0ReREYMZDLnCgUCoXiX4hORRSbTERRytVIAcvRo2sLj2V38kcffaR1A33//ffabMTzibrdTGZWNtydeBRiiYTD7nxyh47UU7Coj8THhqNV+808jRPmjfcnZf/BEhaSuOexTMXsdB7puCQYy+dsKtSJ77/8TFw1abIIC68vdLo1G08jGNSMp9omfLYZ2mbf3J2utdnx6em9dxFdm5uEIwrbOnCn2LiIS2D0WYejCh6jsF6hRFeDi/BtQfwcrSQpYFcNGhs64DKNdqF8DNvWbHy8D8xfQddOTsHptM+TcYrXldRIURWPgrWtwQ1JC6p4E8XAOFOjo28Wcsy6knyJJxEliRcpL7BE8vGPyzPw+d8mlDcqRBXj5o4UX6xlK7niLVx6MNOCJy9JIv9DRmm66LBdlomjoPEB/Hhn0mr+Bh6NdMvBGZZ+P/CpLj/e6jy9LCmtcX7clZeVit6t4s5uRHHnqoZHFNv3UxHFc5nnn39evP9+rSMhB2q/99574o033hBz5swR9913n/j1V17Ddq7iZs4XbgbnTtCx93B6OWEKFvp1tftxuHD2bP74RlNl5TeSYDPuAqx6+lO6VrcbiyoXGbnTNTMP3wy88lPFO6++KIZfOMqpIv7FZVgk+JPdvFZo1hRs98xz3slXh3U/7j51URpFuw/nvP4VXftgiPO5qnUcHYG141akcrHuoQn42GlWwssW3E1486O/kNf76QZipyvg8+fp2gExuHY2M3gEXbt91nJoW9eXO+zJpGP+1i830bUPXIRT0ytTeLf9wK0fQ1vBwLvo2mRPXqOc9sTt0GbvjetXJdmXPghtAbO5/NjgwVdBmz6Ll7wIL+wklLlwnOeZ5kLbFz0eo2vdd+CavjvJGE1J668fhTbjtLcb3W2dZeEOapkXrp3t1DKNro2sxhunsF3ON2SlFfx4+ydG+DU1mpSjKAdxSxFKiRSglNqFUuuwb9++YtCgQf/0y1MoFAqFQnGe4dDpqXTPiY9rijQpR9HX11cUFBRo01P+/PPP40LZUgi7svJv2HWcJQ5ZTcLX6jyMbb7tdbhO/8l0+rwRl4zFawP5KC02FeLOL7bSpZ/dhCeZGFxMqtDH4YjDdf481G9b9AW0/Z+lNvqyv8AsrNn1U1ShnbCO2s1pWCdPMm0h7sp7YhjvLvbohztMPQq41mG8Ead430kuoGtFNi+yz5+Do/MTbudNVL4W/H6U/8wjytVX4CjJwUJ+jifMI+n0ozhirJlr3ButDbfxqaHQpt8+n65N88FrnxjHU62BXrhhpX8iH/+3VI+7fIdu/pqu1XXHDVgSjxe+hDZPGz8uj1Ti6J1hxN10rZ87vonXePPrnd8R3MwUFsAbg6qLcbp1dCv+e60kjW8nn69k3YRnoG3s4ZV0rbDijulMF5m5nBtwo9zbfXgzS64XzjYE9wMR4VJ5PeGf/V9G9++uUWxSjuLw4cPFlClTtLF7Bw4cOD77cPfu3SI+ns+nPJdJ3D9XmHycpxku3IH/ru+nvkWf9xjpEmV1RJLkCpwiWHo/7kyWuJnxzWBjGU+nFAXHQZt/NXdudnTGo9TiD+ys/R7gKVo5Sbt+tR2ny6ckJdLfOyUQ1zCaSvDsYoklGH++FYG4m1rim1P7NzkjLxbXAkn25LmYQTwI/+5LXdSoMVHlFf34BX8AScV2iXAh1izwMa3z46Mj42pwStzhosv7iRVZ0HZp24F0bXczHuGXUJRO15ZH4ZR414pddO0cO97AHOqKaz0lYV78tjJnN05732zHpRYSL6ICwMaKSop0+DN2ValfHI7LR2KOcKer8KH3oM3Dxe/1Ise7EHzxwHh8XJbo8EhKSTWpBY6cxudTh3viOeFZ1c7H8NURQcawGjOd1+O7l+H64TOG7t/tKDapv0rWJPbu3VsbhzNjxgwRHFwr4SFnIF51Fa5PUShMAQFizLjLte8KhUKhUNRzFHUN+GqCNKmu56ZGXcfVc/O2Ck8fP6ePKTbjFMHjMTiSISmI6QFt/kYeUdTZcbrNrMM7SsmHG3F05r5OPH3s8MBF5e6ZOILmatxhyn/up2sTn3sV2g6KULq2iIx4SwriqRgW2fX9EqdhJb8PqC29OF2dPInfphnUXrodlxf4X4P1OSW/HsMdlUv28yaLd4dhrbwqTx4VdF/9LbRZsrAYu6T4ogegLWgxjhhJyi+4E9pyKqyN7ly2koYyib4SC+of1HPNwYTN30Gbext83ZAc9uWC3Hf9gs/TX6/lzSw6G36/Kr7j2qB+Y2/Cz5vnIrKfjpvOagbiTIXEy4yPaX0V7wLeZMfNW3EuOsQ/34KzPuO+cXG9ewWrGqTZ+DW6hkQjXUi/isQDuPHne2/noyEry8vE7YPbndWu5/wDW4XJz8/148vKREjLzqrr+VynuLhYbNiwQeTm5gr7CVMtpBTMtdfylIni30u11SayzZUiwttLeBi5NJBCoVAo/kXo/t2p5yblKM6ePVtMnDhRlJeXa978iTqB57OjeGPJQmGyOK/dc+uA6wEdhXykFYsaVju4szTnEI5WtAnl46HutWC5EGM2j0YcC8P1MXttvGYvyYAlX6oG9RcXTn5QrPvsJdG6VfN69rkFuP4tOYT/vV1D8WlWzgO3FP9bn6b2URb8GVpd/F5Hj0uovabzOGg78uhkunbc029C2wQvXhtZ6YWjhhe8voqu7dkWR8Je78GPuypSK+Y2GE/ekIQU4WhUoB+P7FlM9Y/FOjbn8Whky1lYczTx+ofo2g8CcH3jEA88lUfS6iCWsJI0D8P1jz8f4OPYSqrw33zbINxwJrGYIqHtgJ1nBQKicANeuI03UeV/hJu7LjNcRtfOuZPXPzOm9SGjNG0X07UHLDh6FmfiTTSe5jxos/jw99nQDEs6tdE5zyaVe/2Fi+hpzXrWNexxTZAm5ShOmzZNTJ48WdNT9PbmOnDnE3nrt4oqD+dphp2J+EIT99LD9HlbfI4lgzxIV7PksjJcwK0P4yPNylJwgb5HP37TDfwZz4IdNO5euvYX4txWBHXVvm8P6ioqw53MBK7CKX5f0k0pqSSlwF7zeMNR8eA7oK2AOIKuRpalkZFkkj3l3N4iGDcdNXuCpwB1qVj/70Asl7GKX4y7opdO40LfmWQ83IxM7qC0KCWf//bZdG1aN3xMe7uIQEQW4DFtUX7YiZSUTHwK2gLLeKp1SiZOAdo68YajtMQLqP25Dvi24+qWvz0HbySqd7lQWyjCjtMWF6P07h2IHbYwD34brSrA153lD/C56EdI2Ursvj/oWmM4bvxL73IFXRtPhiJ8upWXNN3WCqfE3fcvo2sPRjpPL0s665yPbyyt4en7M4JORRSbDMeOHRN33313k3ISFQqFQqFQ/HM4lI5i02HEiBFi06ZNonlzvtNuSoT54t1b4P/91OiGlB0FOIIi6dwST0FZVsqLeLN74uJ+j4N8qseI8XgyQ64LSZ8ub+OJEDuurJ004u9pFEFO9Ml6ReAGHUNZNv292Y76k17qCLuAp2njM/H4vy1+TiKfJ6AT+NhYnMr16u6I4bv0LIEjLPo8Pn3BEYf1/46W8HKJhGE4anjLr3y6xkUdcOrx0oq1dK1e4GN6X5er6dplKfi9vqU5n+phS9kObZZ2vNTCTY/TYHZfngKsvhBPXzHl82lCzY28me23NPxe7s/F8iiSe3vjCJxbKS8f2LgHX1s+upjfMxxG0jhCrqOS2PsfhzabiZcehM94DdoeDZpA1z5nxKP0mhl4NsJuxqU2xS6mdlV64uvdai8urTPUB58P+qNHnf+8/G+Sx9GriOJ5y++//378/+WM5wceeEDs2bNHtG/fXri5nXzDv/hiXpdxrjJv5EPCC3Q9l5Ob0H1dgujzZlTgWpPw93HHrGTdTbgLeGAIv3CKXHxTdtj5jdN4DKdT9Ov+pGt/uwmneQOLa1NxVptDWJzoS9p0+OKY544vjJJwq/OUiYaen4KpobUpcWdEu/GLUrAez76+rTWPuv94hN8MhvpjJ+SbSl5X1V+P6wyH6nfTtZvysDMQ6WJ+7eJ9uPt0+MhazVVEOkk9J9t5Ki6pE3Zu9hXzcyWi23hoi9PztfbFn0ObLo47VQFEV3JuDdekvSDM2mgH9sEw3n1eZMVdwIvcO9G1B9PxRsJY4Fyjr46qMDyWzmjlZRoFPvjzt7/Ju4//vBCXDz0fyet5d97xEbQ53vmRrvV2w47kf6Lw5lUyfTF+P6YP5A65mdX4xXaDnclnHZ1KPZ/XXHrppfV+9vTT9Yv8ZTOLzeZqOq7i30py+45iUzqPZioUCoXiX4hOOYrnNSdK4DRVpgRlC5Ov81Rg5IN4tNR9d3OtvBiyE86a9g5dG0mmb+jS8GuSGCJwVNBh4B11M0px9C6kD05pS776Hhe7V7rY6cb547TlS0txw4HklVE4evPyKj5dY1xb3H34wVqe4r2pZzNoyzdz+dSv1qQ0ejycKyJ8SBe4N0+nd83D6bSg7jySed9MHK30y95B1yYTDc7VFfw8sxzFqbFkJ1OATsS/CneQCgOP+uqD8TGrC+IajFaSmr7AwSOG36Txa/LgBDypSFeCdVIlazJw9Kh/HH5eSfhVuMku55v/0LUpVz/T6HMh3h87Dx43YX1OydVEeFDvYiJJxOd41F6wkZcWFb6DI5m223AqXfJSAG4MSqvhwZoKIgPROsB5tNEi+N9yJnDoDcLhIvtT97imyHnvKP4byAlpJ8xAvDP9Vnzz25TA5SJ6GrAgqz/pmJX4kRF+jgScLpU8sxl3Ad7ek494Gk6kd9xJSkvy4WQsj2LPOyJuu/Vm8f4HH4kWLes7dh41+AZ1R19eK+aehcelTa/BHcASnQnXvz0xlDtGnlt+g7YWwTxd/tU1XFQ5JB//TRtD+PzqbaRzlaW8JO3ccHo5ajWfE31LfzydacpGfDxLLmyDf++YQ3iGuCRrwC3QtjCFR7GvjcVOmb4Mj5WUWFkZh4vIx/5qXKO2OROfv5JrbDw1ua9mCLTlBHHB7dHpeCa3zcbVFjqGYyc0t4JL3PQu2wJt1RF8ZOnydHztaB/GZz1vycK1wgfyuWN8rxeunf7tKN+gfBaIO/VH7eUp75va4k1GMxdOXYbATvfzq52fo9UVvK71jKD7d0cUm9RfJTue33777Xo/f/fdd8W993LplNNBprAfe+wxkZCQILy8vERiYqJ45plnxIlDbuT/P/744yIyMlJ7zLBhw8TBg1gWRvHPUmGuEBs3bNC+KxQKhUJRT0dR14CvRo4fjo+PF56enqJnz57a0BDGzz//LJKTk7XHy36MuXOxnNWZoElFFOV85xObW+ro06ePePHFF8Wbb2Kh39PhpZdeEu+//7748ssvRdu2bbVO6xtuuEEb9SOdVcnLL7+sOa3yMdKhlI6l7MqWjTbywz0dZHTPBCJ8bs1wkbWFpIc1e0QStPmaua4YG3lV2bwPXTu+HY7OLD/CoxWRvrijspeOp3HbHMbR1xW62qhgtdUhKp2oUXva8E54cSrfYSe2CG/0+K8KC07FhDh4Ebete/363TqM6ThCInERnBV7vfFx170Yd+pKUpxs5uoofhgX4Essm+dBm3vXYXTtoBAcgRkeyf/gzGdru+KdYX/mY7q2tBA3FXWO5AoBK8vwcTfAi0dnjLG45KHszx/o2jZDsaB6soGPWXQ0782fOwOXplQf4FqIactwtNL72c/o2lAy0tD0HzyyTvLcWtxkMyWOp1OHRuLbrDGTn4fRQD9XUtO1NV0rDuLoa7+EAXTpmETc+GPtxCO3ZnLf+WQzj9xPbYYjqI+3cf5elJbZBFduPbcjij/++KOYOnWq+OCDDzQnUfop0lfYv3+/CHMScV6zZo246qqrxAsvvCDGjBkjvvvuO61XY8uWLaJdO6wo8VdoUrOepQO2a9cukZR0sgN06NAh7Q2squLSGw1Ffjjh4eHi00//l+oaP368Fjn85ptvtGhiVFSUJgB+//21XW1y9qNc88UXX4grr7zytOZMFuxcJUx+ztMm1jB8M3DL5nIh72fhruhb/fCMWckvNuwoXNqKd1sbc7G8Ro6Jp1MrieMUs43LAS2Ixqn4lD07xLTLLxSv/TRfJLbpUM9eVIlvyhPacKmRI6W4FjTBxbxW609YYNxKpIJczYm2uthERLnxTs79FeTm5+Ja+c5KXFv51hCeitNn74c2RyDuiJWsrMCdvNEmLunSbCt2rP7PZyhde21HnOb3c7FVL3MhIMA4Sjq1A97g9bwx1+DU4zp/LI0lySrDjrFkXCBOt1v38fpmhjGaXzuYnFQLFzPXfSqxcsE+C08B+xFB/rQifk8aaMDd2DV7ednK5HznXcKSzy/D12/Jumz8Gfbx56/ZkIfvHfYqnrGxtcIOrA0kQOV9Mioy4qzOes7JymzQc8vHh0dGndZrkc5h9+7dtcxnXd9FbGysuOuuu8RDD9WfoHTFFVeIiooKMWfOnOM/69Wrl+jUqZPmbJ4NmlTqWTqI8+fPr/fzefPmnVFtRRmhXLx4sThwoNbh2b59u1i1apUYOXKk9u+0tDSRnZ2tpZvrkAebPCDWrsXSMNXV1dqBduKXQqFQKBSKfxCdvuFf/3UYT/yS93Zn1NTUiM2bN5/kK+j1eu3fyFeQPz/x8RIZgWS+xV+lSaWeZfj2zjvvFHl5eWLIkNqCaenQvfbaa2cs7SyRXr788GWNgMFg0GoWn3vuOW3OtEQ6iRIZQTwR+e86mzNkKPmpp+qP3bp2SZVw83Keev6lF04vWJrzhoRbS/GB9V5pEl/bFkfCVmRwsebmgdhpb1bBddRS3HDUSOeJC/Al327Az/3msGQR+MlHYkSvZBEUVD96e/huPCe84OVv6O81kLoVNxJdlfzZ7VZoG5OPo2uST47gjukRLXgUVOzhmpQtu2FNUmM+j0Z3aYYje6VuPDpjCseNMpWePJLdz6MY2uwuykH0Jvzcl7XioskBZfi4K/TlI9zKqnFaM6GC1zzvc+Cu95Yu0uWVJODcu4hrDh4I5x3VH6TiaPUtHXGji8S+F1/vVrjztFu/9EXQZrDyhrRDPq2grU3eOrr20aO4QW+fi9GRPSbiKKini673z0m2Sb+Vj//r07IXtDlcCKpXNcMRZ89s3AQnYUl8ty3OR2W6VfDSnzOBQ6fTvhryOImMCJ7IE088IZ588sl6j8/Pz9f8B2e+wr59zhUepA9xur7FX6VJOYpyzrP03KXTJptLJLJAVNYTXnfddWfs9/z000/i22+/1WoDZI3itm3btGYZmW6eNInXnDEefvhhzdmtQzqjpx5wirNDUFCQuKqBJQEKhUKh+PfgcNR+NeRxkoyMjJNSzx4e3Lk+12lSjqLktttu075kVFHWDPr6cl2uxiCnv8ioYl2toew6OnLkiBYRlI5iRERtTVJOTo7W9VyH/LesI0DIg8nZAfXJ5e1gvcNioivW4lEsyyEpmvoetN3qIlPvILvZPXlctmNw9U5oy4zqSdfGrfsa/96OWP5E8lUXvCNcdTBbLJwzSwwfc6kIDK6vi5c//UO41tvF2LkeQfgKM30dr/6Yvu95aLPewvXMBGkMSinku/BWLibkZFfi+kf/ed/RtW5db4M2XxfTRnQZ+NhxNeF951NvQFvytRfQtfqBeBNRcT8f4Wd7Bx+zRGJPw8tINPrMfHG8P46SPrmY62Te0QdHI7fX8Gh0hwCuK8jGFjrc+PX6e19cw9bRhZ7hzz64yW6CLz/uHA/jQMPeZ76kax9PxU02xrF8DJ+dBLFWkSk1krASHLktjeKR285u+Jr1/UFeZzimJT4T3T1wlkPy0mrnY/okD/a7yOnP7X9DiZbd4dC+GvI4ibxfN6RGMSQkRMtKSt/gROS/6/yIU5E/P53HnwmanKMokU6i7BiSyPSw/DDOJGazWasjOBH5YdeJf8suZ/mhybR3nWMoo4Pr16/XnNjTpajKJqzuzi+urYhgb9Rjr9Pnjd6B0w+GQN5UkPbRJ9B2+3+epWtTjTg10czdRSdnMp4V6vYgLsCXmD/4GdpMu+eKlx+bLsYnuIsOyfXT7oeisVZagj+/QTnILNgXBvD3Wfjh92pPOf+9o1vhG/r+fO4o6v2DqZ2tj72kfgH2iVzlg51Mt+y9dG1Zi4HQVuOiQaft3Vi8em7YcLp2jA3r7Pm8yh1j/Y76ddN15LW+kK699adt0PbrJdxhMxAn46XWXHvOun8BtOlb8dfsm8c/w5yAVo0aOylJDsEb1LZe/JiOao5LHoSVqy2svAWP/1y7nDvd75mww66r5p/DMQcuxehb7KLxxxM392SbuF6tww0fPNcGHqJrl+dgVYuAB2pVQRCTPp1BnhhsuFxoYJ4JHP/9asjjTgd3d3fRtWtXzVeomzIn/Qj5b1lG54zevXtr9hMl/xYuXKj9/GzRpBxF2QkkO4W++uqr406bdOBk2vmdd94R3t6uYg4N46KLLtLS23FxcVrqeevWreL111/XUt914wLlh/jss8+KFi1aHJfHkalpZyMHFQqFQqFQnJvYHbVfDXnc6SLLzWQmslu3bqJHjx5aP4X0ZaTknkT6L9HR0VrGUnLPPfeIgQMHar0Xo0ePFj/88IMm0ffRR1xa7K/QpBxF+YYvX75czJ49W/Tt21f7mexGltqGUqpG1iqeCaTTKR2/22+/XeTm5moO4C233KIJbNcxffp07cO++eabRXFxsejXr5/WkX26GoqScEuOMNU43y3ri7Au1SI93rlLOnUeC22+bjytNcGEo2TPFvOQe68YPH3D6mKEnzm8PbTNuxnv+iX3FZLi/4D/hu0DIoQutP6IwRY1WDeyeg4XO80dfDu0FVfx2pX2LfCUm+RgvvarHbgEYEoILw9IC6s9fxC9vPGlw6eAN1kcfr72gueMZg/Vn9N+Iq+txlqZ5VU8Gv380EugbfgsF81uQ3BZQ5AfnyZT1LZWDcEZYYeW0bUtyLjL8t/4JJqU4Vj70T0Mn0eSAHfcGBbmxYv6c1xcd3bn4cif5yR8TZJsfPkraOvWjEcUvYJxRNG6iEeF+81ZAW3j3+aalEuP4RRxpMPF+Z+JGw4X+2L5G0n6MVwSc30cb3ywG/B7lRHQhq6NthIdxRt5lmvsuFHQ9tkjzhuwqnVnfzKLw+E4aaAGe9zpIuVuZBZU+g+yIUVmIaWvUNewkp6eflIGU6quyP6IRx99VDzyyCNaMGrWrFlnTUOxyekoyhTzL7/8IgYNGnTSz5cuXSouv/xy7cM4n6jTcFq8K034+jl3vpi+3+BgfuN07FkJbbpkHsbOMYY0KuUlCT1Mfq/Rha5gEq4zOkrEiSXxWbg7cfOWbaLX5AfFus9eEp1b1S/QdLTHWnm/uRDcHp6IL7oeC7jQr94vANpSO/D6Jl8yDi9cz+uMjEVcvNzmhzt9r5nDb0KfX4GdFPe9S+haRzwW+80UvP7pg3W4+/imHrxprBm5YdsKXHQbnlKmciLFZLMm2ZGDP6ee0fzv9S7AKUJzMFc18DT/hRnTGXxu9grvzo0e4Rhtwr873Iq1DiXZBnzNCl3DxzBWZR6DNp/xd9C1+QZ8DkcU8C5gSzh2ug+b+Xv1+SZc73dHb7wBkUTlYCFwh5VfZ3WkrtaVoPq6NrjeN8zX+WdfXlYqereKO6s6imlHsxqso5gQE3lWXss/SZOKKMrawVPbxiVS3VzaFAqEr7eXGNajo/ZdoVAoFIoTcYh/L03KUZTFnFKvSNYo1qV4KysrNW3Cs1noebaJM3kIPzA5ws8df4QOvuEUlm64XjK7nO8a3clZk1/FO2Y3uuPO78HxePct8SDF359s5BHjO3rjaGSyKVjM/wHbUyrxm9k9mu8c/QpxsfuvSbxTe3QLrN8XYeOXLr9Dy6HNHo+bgiR7vbAGm2TXMfw5fO67lK41W9tCG49VCZGnx+91aSU/7h6vwiUCOTquEOAg4y6NLvQ779mFO3kfead2chNi0BScPrat5Vp49g6Doc1zO1+rj8Xj4d5I5enSO4p5M0u/vjh1+exmnka8uzeO/Ja78cYwHZnqZOzOG3R+ScdRstEkYiiZfQBHOie2xzqJEs8CrEkaEci1H59rixuDrG78+m4LxhFHfRXXyV1j/Z/Sx6l8Us7PlQ9j8LliPOA8E1VazrMj53qN4vlAk3IU33rrLU2hPCYmRnTs2PH41BTpNC5YgLv4znVkKhelc1tW4nqwvQ6eXoowkHF4Pjx/rLPgTjMPH9401NKE7bkunExvN7z26UA+slCXhkfHzTR2FNWVZuHh5a01QJ3KaBO+gTn03CM/+u4r0HZBS57yPBqBx/RF+PDT90g0rjOM9OC1oFFGfsWrtuLPwcsXdyZLUspxfWtKMN/QtSK1s8Fs9yJvcINwWqvKwtcWeOJU+xeZ/Jh9ZAi+cYZEc1mePA8seRHahteR/nQMHx9XBuPXJLG748j69Z25wHiZY0qj0+lPtOBOyH9W4lrhaf2xpI8keCWu6XT0xvWrksHxuHxkzVEuzzI0AW/2jAJfgyXTt2D7sFb8vRq0F9e//hAznq69ugRv9tLa87Ux3vjeUVjOR4Puzsd1lavKnd/Pqir4+3Cu1yieDzSpEX6ymPPgwYNad5AsCJVfL774ovYz2Z2sUCAO798trundSvuuUCgUCkUd9tP4aoo0qYiiRErg3HTTTaIp4bN5pvD1cb7DT+90GVxX7iJ9HGDFxc6imBfoVyfiNK3Byk+XeYdxveife3k37tt9cNf4kNVc+++T63AHcd+qWiHnvtG+onPz+unN/NdxivDPCx+mv/eaO3D60JGLIySuUhn7C7nQd5cSXDhuT+VREM9QPoatkxVHBZ88zD+HO3rhy47/nl/p2mw/fLzvd9HM1N2Gm1ni92ykaz8Kwt2Y13Xi0TkWY9DF8Q1siLUQ2ha4UBeYUI0bcPISeCQzUOBzNJtEhCWRvvy2EuGLU9dWL95kce8urNFa0wd300vSu2DR7FAXagteJKSy7AAvebkkCJ9rZjv/e2/+/TFoS3jzc7rW6CDXuyCeLhc+46Ap3sbPs5lp+Lo0uW88XZtVhtPltzk2Of15qcMsuHLr3z+ZpanR5BxFKbQt5Wv27q2tk2ndurUmXCmFtxUKhUKhUChOB/u/vEaxScnjzJgxQxurJ4Ur65pX1q1bJzZu3KiJUo4fz2srzjXqWvP3PjRJ+Hk6L/MPubt2prUzUqt5B2/i4cXQ5qjh0SpHFa4zeqSSj+G7fwAuwg7WVTZatsXuYjzUPoFrq8x7Vopewy8S6xbOFp07ONGj0uGQgj77YKPlIuyBUY0elehw45/vhkJcK9Q9jEdQ3HIPULstF0ejHcn96NoiMmxP50JayXvWy/j3/ldkH+GRgKVGdG34a67ywceO+1quo+cWjSdk2EL5rExDGYmwk3NQwwufDw5yPEsKAnB9c56ZRxSTaw5T++wy3HRysfdR3oAXhpusvt5TTNdOqsGTTD5360HX3mDZAG0OK6+7+8X/ZLm2E7nShGV3JJYI3PiTV81PljADjs7pXEQFC/X42DG6KFgLysVjNje58yY5NyIlFQK0W8tKS0XbhOizKo+zJ+2Y8GvAc8vX0uYsvZZ/kiblKCYmJoqJEyeKp58+WbRXdkJ/8803IiWFj1o616g7SGduPiR8fJ2fuP6eOCic7mIGce8YfCDbXBRbHCHP3cubX7D32fHoMV93fhWKMuLf6/Dgc2LzSFfsnh3bxIWD+4v5S1eK9h3rd2X/cbAAri0mWpaSGzrj1OTmLN7lOSAOf0Z6F+O/WMPRrEzegHNJPBeGNxzFWnkpITjlJUkqxjcSSxzvxtZX4M/BkIc7RCXmDXhj9F7cNXTt/Yn4uCsLwo6gxErCDCmFfGRdfIBHo51qf3Iu6az82qCrxCPtSj356ECTlTcX/JGJ349Rzfhxd6AM/00tvVxsbsn1wWzjb6ZRj+1m0k0tCc3aDG1z7C3o2nAf/Pm3D+MbRWMNvj6kuhD6/3U3Lj1KDOadywOa4bGDrgjeiktP7L0nwPukHJl7Nh3FXafhKLZrgo5ik2pmycrK0sbdnMo111yj2RQKRHKbtmLHgVTtu0KhUCgUJ816djTgSzRNmlSNopzIsnLlSpGUdHLaRI7x69+/vzhf6RdQJUx+IFVIUpPHSvku+XAxjmawSKWrqOFeEjGUtDbgqNCCXC6tExWFI2ElNXxn/+pyHHF6eHCiCA3FKbHJwdmNmlIicWz7HdqGNseakpLDZThqEOciTZ9iwwXr7flLFr8d5lGhSD88XaW7D79czsnH6dbOZi41E06aDmZauRxU19F4Isi0Gr6RtAbi5y5w0UQTjc5d2SRl5mnLLtlYC7O87Qi69pllOAUcF8SjUetTcRPNgBY8vjC0OZaDkQxa/Ry06UN5I2LLA2ugbVoBH0v4fOkv0GYajqWTJDZ/LFPkoePXnfRQfNxt3sxTz4+3wefDwVIurWW24Gv42gx8DZZc2wmXxEQexsekxOo5BNpWZfDrSngylinSFzs/V8rL+Dl0JrA7HNpXQx7XFGlSjuLFF18sHnzwQbF582bRq1ev4zWKP//8sya6/fvvv5/02PMFu0+IsPs6D2MbD+EL5+hwnhKz+GJHwq2yiK7VkXRrGwevMzqoJ6K5NfxCklqFHckDBbyT9/Vk7Ny+tmyL+P71p8VVUx8XYTH19dguJc6erYpfqHyvJT15JIUrKfPHaWtdHpfymVeO64GmHOIjy0yXYv1GSbAbvoHpzfzY6RyBR6ktSOE3sOta43TO8ASeTvv9AH7uCa35TfeRP/E4vGDSxSspq8I1fY/kfk/XVl3+CLT5lblwMvrgjY+F6JFKSslrHvHnS3Rt0eTnqT38srugTefi2NG3xmoLN9t4t/0+633QFu3Dpd4jc/CovcqNi+ja2H54TOMTSbx8JNsXZzjWp2BnXjLRsQ3afL/g53/Uo09Bm70ZFwk3FmF1gYEB/H2umPkGtH3YcrLTn1dV/A2znkXDooVN001sYo7i7bffrn3/v//7P+3LmU2i0+mEzcYjF4p/F+byUrFt5SJxyc33/tMvRaFQKBTnEHbV9dxEY6VNgLpC2h/XHxDeoJll8zFcdD62LU6XSGJ+wzv/0ssfpWsjQAeaxFDK03hz83Haa1QA/nsk+3Q4whZn4p28M/fhUVpt9s8UPa+5V6z/5k3RObl+mnGGAaeIx8bzXTLrMNRn8nFnOhL1dZTy6NsKb5zySgjkTQPzSPOOZHwbXF7w9hrcmS55wm9noztIv/cdAG2XH/mJrnWLx2PpdGFc381mwueS4TBuVpBUt8BlL88v5x3CjwzErwtNa6rjk624XGJKRxzVlTj05Px2FfUjDUfac3vgZohntvHPf0gSft39PLieoTUYv5fWGbibXuLVD2egLAf45++w4PN/Z/sr6NoYP3xtCS/hagusJObzQ/x9ntQBr9WTRieJZfGX0JbW71a+lowlrQb6vBVlpWJYh4Sz2syy5dBR4evn+rnLy0pFl6SYJtfM0iQiiqNGjRLff/+99oFK5DSWW2+9VQQE1N5kCwoKtBrFPXv4iLdzlcHhOmEyOb8rjAjGzpHNz8XH2wJrS1aRLj+JrgqneQs8eAHchXH4InWwgqfEEtd+Bm3GvjjFI5mow6naxStq624KVywXuYfqP27cbTgFlF7DZXniUldBW0FrF8LHNfimq3MhB9Rr43fQtu11XK8l6f/9HGoPqsKyLVeR+ibJrzn4Anpp/p907dXN8Y1zntdEuvbCPNz17ObP05Z2C+7kPBDO5aA2kw3KI6Wz6Fr3MuxIfJjCz9Fb3LBDXmgdStf+TLper+/EN6COOR9Su3sCvu482h3Pp5b8kYmdropwPsJvayaWE9qTOImuvSYUX9NSjHzm8oKD2IG94Sec4pUEX3EztFVvxSP6JG59cL3f9a34tSOLSCBFuvNSi4Ihd0DbwSxeWpReguuup6Q7v56Vmnm3+5nALhzaV0Me1xRpEl3Pco5zdfX/GjOef/55UVj4v/oNq9WqCXErFAqFQqFQnA6OhnQ8N3B6y/lIk4gonpo9b2rZ9J9Sq4WXr/NIytercePIgmt4SrS0x+XQFlrJR+m9uQ93+k3swHW2KgTekbYy8waN8uG3QJvbXl5Ubk/CkZ/2V1eJl/0jRPvRQ0V4SNBpFdnXeAbS31uYjKOGe3LxqDRJn2gS6XLwbsvN7XGErc9ntc1eiBQjj1YtLMSf8dAIntZqFYqjCroQ/rpEFk7Vh9/DozO6H76BtmwDH2kW6Im77VseWEnXJpHouxh+A127oQRnDPrGcS3MQj8cNfRx4zGCyTk40llmwVEuye1WPO5Q8lkX3J1c46LIy9cdRwV9itLo2p57lkKbPZmngH/bj6PCV0bzrveW2T9CW/o1eGCCxOqBPye/C3ga9+0N+N5wdzE+FyRx7WsHVjjDYeQRRetbr0DbwKc/oWufXYLf5229bnP684oyeT3BnfRnAvu/vEaxSTiKTZ3L2oTAeofLSK2Yw8K7wfREsddq4vNr7wvC3dZFBr42914sRWF4C6dLJZlkzmx48jC61tuAz2LT4R3i1rahQhzeISqdlI15XOT8IiWJX8k7CD2Su0Fbr33O55fWUbkEpwD9RuPZtZLuqeugbXNLnJbSntuF4Hqvpa9Dm24C7mrV7GQjZ/PltXNVATi9mDDjD7rWULgP2kq8eD0RrQdz5/WefxiwYzTahbPf3Rc7Rtl6LkNziMwCD/fh9byxg7EAuc3F3fC7RF47l1WNp42UVrs48Ag1W/hG0a0blhPqn40nr0iOxePa2CeJQyZ5Yhg+T00uxpyEHVoCbXO8utO1U8mGvep33jH9UzlWAZizk9eg95qAnbabtv5G177gh51u66a5/1jq2fEvn/XcJFLPsotZfp36M4WioRRVVIqZG/Zo3xUKhUKhOLVG0d6Ar6ZIk+h61uv1YuTIkcLDozYkPnv2bDFkyBDh41O7o5L1i/Pnzz/vJHHqOq7Sj2XBiGIGEfuNM/HU85ESnCJsU7Kdrs0Mx6PWftvHuw+vaIf13TZm8ijoQDLSTvzxNl07uwWOkkSUHxaD+/cTS1euEh071e8WdiPNPe7lPE2vz8GjI0vjcYpH4q3Hx6ybCw1GewCO7Np8ePNGuZ0nGzxJJOS11bzreVIX3Ozy5ZZMuvbqWY9BW8hLPLLLPsOiKn5tOFiANxA9ovnoSK8c3ERXEYajaxLrV09CW+WV+L2QBLvjS7vZztPWM/bic3hAM15q0aKMNw1uMGJ9z5bBPDr78grcJT59AO9c963BOqp2b/43bcvBn3/HcC5eXkM6eX0K+VhZezoutTiWPJKujUnDqXZHc5zlqH0AjuyWe7iIZBfhCF9nDz7e1VVHtTNKy8pFUIcBZ7XrefW+9AZ3PfdNjlNdz+cikyZNqjey71ScjfZTKBQKhUKhYNjVZJbzn88//1w0ZTx0Nu3LGaxcqNrG632KqyyNGjslKSMRmBIytUXiX4MbQ4bxEjUhyMSYn5O4PMr4FniH98qs2p3syiMlIsO7viRN/2a42SGKjFF0pQ3o5aJppNxCitmj2jRaC09nx7Wekg0uIrvDgvH4x0cCuMLAERuOdEb584jS6htehbarLFx6w+GBI3/uLkQJ+zs5JuqodPCIYuqreJJJ4Av82uVzPY4o5rsYHRhmxtHZTD2vI56UhBsWDHlYdkdSFs2vHa2Izc9FhO3WXjhqaHNxk84UWBLmiV95FHTOt/OhLeubG+naEnJ8FPnwKGhlEq7JbVmOpwVJKtoMh7ZiFxH0ZxfjOtO3x2CpKEknX3y905XjmltJmjeeJuYNGrDKdHwi15nAZq/9asjjmiJNwlH8Jzh27Jg2LnDevHnCbDZr86Wlw9qtW21IX2b0n3jiCfHxxx+L4uJi0bdvX/H++++LFi1anPbvMqZuEEZf54XJLVv0het2F/Du0+6HcGdjcY+r6NooI04vtE7mZ4uhGBd/WwNi6NoSN3yRmhDDhX7za7Az4OdhPP490LN+oX9MJi523xnYlf7eXG+cph9SeISuzSIC4wYT7z58ZO4BaHsnmb9Xry51MdJsHG7Q+DGXz1x+uhrfdDvG8Yakzu64CN9QwNPWWz2wi9KpBr9XEocRO7CGOW/StQfvegfaermopS4hzR3xRt4xX+YVB21R3/AO8ZpJ2EHNCepA15pLuQObV4GvS7kVPK05MginzHfl8friHoW4ueuBIf3o2o/G4A7jg3dxDcb3L8HNHdd05aMjQ8hggxdTuLrE7SHYcQ5e8h5d++QFWAtxh4v7SvtQfI1OqeE6udGkycprn/PGHo9yfh40lYhiYWGhuOuuu7TSOlluN378ePHWW28JX1+8ERk0aJBYvvzk2dy33HKL+OCDD/59zSx/N0VFRZrj5+bmpjmKUsj7tddeE4GB/6tzefnll8Xbb7+tfSDr16/X6iVHjBghqqrOfoeW4vTx8PAUzVu3074rFAqFQnGiA2hrwNfZdBQnTpwodu/eLRYuXCjmzJkjVqxYIW6+mUtVSW666SaRlZV1/Ev6Jv/KZpa/m4ceekisXr1arFzpXD9NvqVRUVFi2rRp4v7779d+Jotbw8PDxRdffCGuvPLK0yqkzTmWDgtjV2biFGCbUL57K6zE6YfUIr5LGxWMUwg2XyzZI3HLwTIl1hAejVqRY2v03+vvgaMRG47xVOu+/IpGjbOTBO7Esi2OdnwShXUhnkSTN+R/88tPt3kjIpc3K9nLedH5O2Y8XeP2rhGNLli3e/G01g97cCQ0OYSngLvpMqBti45HdtqH4oYF++88olh+4d3QFlTJpUYcbviYTrHwv9fXHccBUkjDgaTnvp+hze5idKRxJNY6lVQYcCTsDxejIz0M+G/y/W9WAHGhEessFofzKKmPwNfZ2+Zw/caruuIsSYtg3ggTacTRO4cb39R+si0X2q7eziNKpjG4pv/pPbwR6q7e+FzamcPvK/lm/PeOC8iHzSzB7fud1WaWP3ekCR8/Ps2mTtPxgrMwTnDv3r2iTZs2YuPGjcezlrJBV06lO3r0qOZvoIhip06dxJtv8muUK1TquRH8/vvvWnRwwoQJWlg3Ojpa3H777ZrnLklLSxPZ2dli2LD/pdHkwdazZ0+xdu1a6CjK7uwTJ8zIg1Ry6Wc7hNHT+cV17u1YRPqLbViDT9I3Dnf6tQ3laY05+BokLqrhXa/ZQXgcXkYRT2v03vA+tBWNmkbXHizEF/ueLjpX+0TiVOyRCl7vk5eI9dvcql2MShyI9RsdVr7HizDh09sWxB2jUQv5c88fiLtPdUeO0bXWLLx2xuUv0LWJG7C4dVcv7twWeeFNiNlF2vLAdXg8ZLtneffxz8T5SXYi7n4i3SuxE5LoH03XLs/HTlWnCH5+z6+8FNpGNeMOikPHE1XeAqemt2bwz3BMG7wJ6cv3a2JuJq4HHG7jtXM5NuzQvX0JniEu2V+AnfJAsnmVWPR4o+CivFn4e+Lz37czF7Y/4Iad27v3Pc1/bxguH+mQiPUoJWYLfp+t3s7PFavnuVejWPrfe3cdUpGlTpWlMUi/QY4krnMSJdK/kClombEcOxZfn7799lvxzTffiIiICHHRRReJxx57THh786DKqajUcyNITU09Xm8oxwfedttt4u677xZfflk7DF06iRIZQTwR+e86mzNeeOEFzaGs+4qN5TdzxZlj+7ZtIigwQPuuUCgUCkUdFru9wV8See8+8V4u7+1/Bek3hIWdLCtnNBpFUFAQ9SmuvvpqzUlcunSpePjhh8XXX3/tVBXGFSqi2Ajsdrvm2cuZ0pLOnTuLXbt2afWIp0r1nA7yg5w6derxf8tdiTzg3r2qI9RwYunjC5O4Vp4f2c1aXUxfGBVDolWCpx6DVn+NbUOup2tLL6pN5TsjhKTaJH6/4pP1YFiyqKmpEW75h4Rndv2/zRqKo1FZ5Tyi2DoE75L9+YAMYV+IR17NbT6Brm2ejqe+6Lx5GqVnIv8M7ZFk/T48tUdijMadjea5uNFF0jEcR8J0RVy/MzAfNyT1M2FtT8n8p7BG4+JcHo26ox2OJBTpeJThqfX4773qB16f9EaPh6Dts6s60rX+JI2rL+Pv87eZPOI40YE3Y60j+evqF4zPNZsHL1vw98Sfk24XnoAiiY7E3cf2Khe/1wPrhvqkrKJrD4TjjFGrClzCI/Fyw4GG7+y8AW+iHWvDvtkJZzkkV8Tha0dU2mq61i8Of/7zU52H9MzlXO3gTGBv4Hi+uleYkZFxUuoZRRNlGdtLL2FVhLq0c2M5sYaxffv2IjIyUgwdOlSkpKSIxER8HT4V5Sg2Avlmy3qBE2ndurWYMWOG9v8yxCvJycnRHluH/LesF0Cg8PSu3ArhbXbuBI1MxOlj/VLskEksubhLdHF3Xv82pnoLtFUmD6Fr9YOxM+i2EXdia3S8GJoems9Hhz155X+gzbF8du13g7vTDledhaSt982kv7eiP6730Vfxi5whDosTx7mQkqnZhy8wuYP553tfrItkA5E4muWHO/El4z1w3cJkfz4OLaMKp2qLvXgEPiAQpx5zK3in7vJtuJxi+sAEuvb7Azj1fHXVyR2Jp/JoF5wifMrObzCzW+KU3G4zl0fq54+dqnJvrkwwYeVb1F590b3QNmlL7XmI0JfhznWHge+6qqw4d+io4TWblsh20HagmL+XbaqwssGjR/l7GVyMnfLSZlxBY3QS3qAWvnwPXWt74A1ou2Hb43xtJ5yaTo3kKe84N+yNjdE7r6su1fON2pnAZne4HF1Z9ziJdBIbUqMo+xiuv54HR5o3b675FLm5J183rVar1gld5280BFn+Jjl06JByFM82suN5//6TteIOHDggmjWr3XUmJCRoH97ixYuPO4YyOihrCWSaWqFQKBQKxfmBo4EdzafbGxwaGqp9uaJ3796azN7mzZtF16610eAlS5Zo2c06568hbPtvadWJAayGoBzFRnDfffeJPn36aKnnyy+/XGzYsEF89NFH2lfdnOl7771XPPvss1odo3QcZQGp7Ey69FJcJI74cvURYfRynoK6kEQUDT0vos9rrMadvqO9XDRZVODozDvrcHepJC4Q73QHtnXxmt/Bqefbb+IRFrMFRxRs/x2VJb9bPep35uV2xmneYBIhlczYidM4k915WqFyG07jhl3Mtd8Kh2ItNFd5lMB8LkA8swI3UvRlYxZlZF3gVF2omUcUTe64XKL6nQfoWtvdr0Cb2xu4M1ny7HR8bOksfOzYReuwjuKPffjv7afDQu/TDnMtPHtHLARt8uARY305/puW5fJ0+ciL+N9UQs7D1aED6doo0ukbqeO3swGZOPJvzeMNWGuO4qjVshTeqf1UFO5sf7o377auIul0oD99HJ0NNwaGjuDj/0Q5jmSa83A2QRJZgd/LwPTddG1V+wuhrSzaebq87JTGkbOBzVH71ZDHnQ1kxvLCCy/UGmZliZvFYhF33nmn1hhb1/EstZ1lWvmrr74SPXr00NLL3333ndYZHRwcLHbs2KH5LgMGDBAdOvDj7lSUo9gIunfvLmbOnKnVFD799NOaIyjbz6XOUR3Tp08XFRUVWo2A3An069dPa2f39FQ6feciyXGRYvPHz4iESNe7O4VCoVD8e7CfA4LbsntZOofSGawT3JZazXVI51FmOuUAEIm7u7tYtGiR5ptIX0T2O8g1jz766Gn/bqWjeA5Tp+GU9d2LwuR9+g7m780uo/bL3PA0Cp2RT+bIj8C1lmsy+A7vYm8cNZq6nUcrXonEI770MVjbT2LdhyczfObD9QwnrMN1V74tcR2hxNCd7N7JxA9JqRE3jfgauF5DFlF8ifDhe8Qt2VzvrJcjFdqW2/hYsr4R+Hc7VmP9PokhFEcyq1vz2tjUYhxhaeXFa9R0u3EtYWWnMXTtu+vx8T69rb7RmpN7PLjmaKvDC6HN0ZYf77oaHEH79RiXdBnQjDd3RBTsgravinHjh+TaEBy9O+bHa/b8SBR14tdc7eCm/rgOtWe0X6MzGX5fcWkl0x0vQls5eV4Jk3PZ6aIBa5AJX8Md7lxK7JsUfJ5d3pZvxJmebYSf83tSeVmp6Nky7qzqKH6zdr/w9nWtoygba67p3eqsvJZ/EuUonsPUHaS56WnCZHJ+kL63A+uO3R3HRaSZyHCno7wLUAdS4RJHLB7vJilxx+lyk47rKH6xp6RRYrza763GRed9/KrFm6++JO69/0ERG1d/9Nmve3EqZnKnk2WQTmVvAW6E6VDDG3CKQvA854BSrld52B07VTkumje6m/BrlujNOP3k0HNHoiYQd5AajvcNOmd5Bj6mB4fyS1mlO75wF7qYfcsy9dE+rtK4+NixuxKnz9jWaC1MfTV2BqzB3JkXK7+FpppjfOyk1wV85nqaG3YGY/14Q8qmrIpGieJLJlk3QtvBD3BXu2T2Dbi5Y1obfryzRrjrl/LX/EUX3Oxmi8YNNhJ9Fb5W1pi4BqdHPp4jravkgYDKWDyy1KOYlyVlkQ7xcNC0UlpaJsLiW5xVR/GrNfsa7Che1ye5yTmKSkdRodDGMhaK777+UvuuUCgUCsWpNYq2Bnw1RVSN4nlAmdRa0zlPUY5rg/Xfjti5Ntwbc7EO1+39B9G1Pf1x5K/UjaeeUsiElJwKHsnydsO794HNcKRSsiET74TXbK+NzK7JKBaZPvXTWzfH4jyufTvX/mtjxlGBPcmX0LUGImMyJ5tP17hsH46CxPfnTVVlHi7SeCQlqivmY+lYUYPORYKjdwyOhC09yiMdgyLwZxhXzqOzdjcyas3C99tlflgCxe5ius5eNywH092Xf/7pDtwIM38rn9oUGz0a2kZHc/2+UlP9iPyJxFc5H8UmyXyC108FT8WNQZND8fNKjplwo4Tu5eF07RVG/BnbXJRxsIzCYxfwY+cgOTz8HXxtaBbWUS355DW69o8LsAbnjUE8CuqxG5c86CK4JEu4gdTLGMCVw+hCjLaJ1Cj+kyhH8TzAVFMoTNXOU4V+JHVVXM3TeB9P4KkLRvpDd0Jb/C181mt3Tzw+6Og3eESfZMWEZ6At2IungMYkYUfSv7D2pto3NkB0aFFfqDzj6Ufg2t/H8ZFWV3fDqekkF62LBuKENkvjHYSFZKRhqCfvaje7OHZYEuZAME49SXZk4/Rxr1ierokpwCmxwcF8o1D29avQpnNRtnBo9IPQ9vN2rEcqeWwIfq+9i3gat+tWPCd8zFyuSTcrYDG0Ne92K13biQib/5HJa4FHVruIyu/HtcKHb3mdLu0rcBpfZ+PlFJFWrN/5Uxavye75OVZbEGPwyDpJ2264htVQyjdVJfN+gDaPILwRkDia4c8p/Zrn6NprwvHGyLIej9F0Vd9es4prztZc9L+BE6ey4ZjzDXdFOf/czwR2u0P7asjjmiLKUVQoFAqFQqEA2BuYVm6ifqJyFM8HMnUBokznPNKSl4dD9cnBXjwFSIqdD9XwtcHPfAptdgvX2TIU4CiK7v536dqfftkJbd2ieMp7SxZOTSYGh4jb7pkq/IJDRKWTCQ6+T3wI16Yuxp3YEpMDv675qbx5Z4w/HsPoGMXF2wNmYd3A6vE4Qib5YgvXlXvAB6cfW8TzVFDUps+hzc/EU+LWQJzWzLLzQfel43Bas2UAvxQGkDGNz4XyhiT9YRwFOxrRja4NI41B1/TiKd4X8i6HtshC3tU+3A+fw+U1vOt1TQnv5O9PxuG54qcs/NyfLOfn0sJxOGV6RTBPpx5+tFYj1xm3LOSf/4fu+Fqq8+QNEoZrn4C2oxV8IgyjnYumIUMZ1n5NScbTsSRrM3CDZbu+PPraRo+j77N3OS+XqDHzps0zgV2lnhXnM7ty8EnS0Z8ftLoavLb5jjl8bc+x0La+lN8oemSlQVvBwzyN+/kXv0LbaheyPBOa4cN9aV6AuOS26UK6ziX59W+iw9xwDdu9q/jIstKh2MlsG8ov2JYd2AnVRbWla9f0wmP63Ej3qOT+Hrwbt1I3Atr25nOpmfZXY4ftqh/xRkDy+RU4Ne1WzTuXq6zYXm3nn0O8ETtWiwL60LUjPLA8TmzuVro2ZzeWsBo5hM9yv7JNcKNkdzTS8UagaBAewSe5fBHeoEjs0TglGiz457DkEK5DXDiYH3ff5+NU7ZXh/HxghRgPDuUyRWIdvmY9Vs2nakzujp3BSF/+Xu0hQYQkM3dud0zDpTatb7+Srm0RjjcwOquLTuAcXALyerjza2FphVl8LM4uNodD+2rI45oiqutZodBkDcrF9vWrte8KhUKhUJxao2hvwFdTREUUzwOiUpcJk4/ztNq1Hjh6d6iyL33eRNRFJg8MsiuUFAj8e8N8eGTHkOR8FJMk/8UL6Nr2aauhrVrwCJuuEncf1+TniAcnjRc/zF8mkiLri4lnf4z3rNH/eZX/3jKsHeafwUf4GeNbQ9sjq3B6SPJMN/wZfZvBT/1vNvEO0o974AJyDw/cqStJmTwe2r7+8Gu6toBEDb/YwptKruuMNdp8CniExUG6nm95Dh+TktSX8Hl4zMTF2qMG4e5kQ+ZmutZWgNfqfHjKs2oHbjgJW8E1VvV+/HOwkWaHVodwx6zkUfKydZ58fu2XC3HJS/+rOtK1zQw4Wlll5N3neSvw8TFuClc92JuHI53NdvH36pU0fB7+1IerSxx+GutKtonh147DNXhogr8nbzj02/ATtB1oMw4Kbp9tbA0cz8fvfOcvylE8D5jp3kV4ezi/Ql4Rip2fFxfzm9/HzXBac18iTi1KWh3AHZX6VkPpWlGDEzkDsvHzStbGYBmLRCKdUwt+rxLs+ce/t7Y7udFddhVcW2DgN91CA66dM0dzse5P1uGb2+CWvCbTRjpmy01cDuTDJD5zuSICrz92hKc13TZjB8atkqfTdufhm8Jl7SJEY/mxkKdxu0TilNmmd3EtoERXhssWXGWqHFZcd5cdwbvLjVG43svAm96FKRpvUC725d22e4p5DaOvHieyYklNrkTnjT8HWw6XOJp7FU7zrirkaeuLP9kAbet64fIASeRN90Gb/yIsYSXxHYm7rQ1+nena7zvh8hF7Gt9kjInBaWvbJjylSGLsjCeCeczAk2YkjjC8mWtb5nyiT2k5Lxs4E9hVjaJCoVAoFAqFwhm2f3mNonIUzwPGRlmFyc95UbPNA4tqPzKMR2e2VeP5pe0DuK6Ywx13awakrKBrtwTjnX1SZ/yaJL0OLIW2ZX7d6dqjQXhs1eLiw//97iNS8+tHLSb442aGgkrefbg1C0cyL9mNu8clzxbjmsnn3K+ja83RWGD4plY8CppVw+cmf7ii9v1yxlNtePdp0Wasw/bzbtwhLJnSAl+yPk/h+n03OHDjyGXJ/ejam//A0Xlvdx7JbhaCU5NT2+LZxRI9KdMIq+Qp3tJfcbmEaeyNdO1eHU7jhruQrathQ4blIIAS/AR5fjwFnDAD66gavXkT3f9V4NKUBzryjvnP78QNS/t1vMQnxBsfs2u7cD3L8VVkproFC7lL2vrjv+l3G9fQjSzA6eNhvXHEUPLDBpwxuGEcFvKWeKfjkoeKGOcR9IrSs596ttsdwqZ0FBWKfzcGo1EEhUVo3xUKhUKhqMPWQEexIY85H9E5HE00VtoEqBtInr9vszD58bofZ3ybyXfYY5NDoM03h8uUrBR4FFN/HZa/kdiycd1dZiteGxm1dx60vVDJoxF39MQ7cNOeP+naTxy4HmhKEhcPsPjgWqEH5/H6phcrZ0HbngF30bXNA3BUoNLF6Dhfd/43WckF8aONXIPxoeY4wupw45GdjDfwRInCe/F4N8nRUlyHtisbvybJtZ1w7ZTORb0fey99zHhaiPbcdhKtPrafrmUR9m5R/HpiysDj35Ybcf2ipG8E32yZ5UhSgO9+nDGQlLUcDG3ZFTzU2UJX0OjjrsoD1wPvzOWalCYP/H60PDSXri3rhDULy0ittyTPjN+P9qFcJ5f5O1uyeU1gr6L10DZlH68jfvsSfGyVW5z/vWWlpaJ1fLQoKSkRJpML+Z1G3oOf/mOL8HTRACapqigTj4/uclZeyz+JCp+cB3yWbhRePs7TyDe1xQdj71ieevb9CzeDzZlYVDWqNe96De2AU0DZLjT4wrteBG3DsvkFO6AEp0sXB3ItPHsBfm5D/mG+loxZHJCEnXWJe9QN0NbKi28ESsmNJKqYd1tbQ7k2nMOALx1Xd+Tdp0XuuAQg8Bgvsvd/Egsf+7rY8zbzx+UULYN552pqMT4u+xtwV7ukIhTrBn6Xzh3y9uG4uWO5mY/SqynFTUVvL+Ui8b9cic/RJCt29DTsvKPWzQ171vYKnkZcThqlXNWHJcZhZ8+YycdhVkfjEgBPMgda0rpoC7SltMIztSXR5LlNO3CzmiSsC75WvruBb+amxmCnurcLp3op2aB82p8rNfyagoXeLy1z3j3uUcGv+2cCm71h0UIXVRfnLUpHUaEQQqTt3yuuGdhZ+65QKBQKxampZ1sDvpoiKqJ4HnBjVIUw+TnfhesKcQF/THgb+rwOC450DazGRdSSfm1xVGhLOW/uaOaF1aa65q2ia3VkPFj3KB5hqV6EB9J3MYaK/Jws0aV6v+jiJC27ugxHyR4v4VNMpsXgi8dF6fg1SfSBA6Gt5K0n6dqoKyZCW3pkD7p2YyqP7IytwZE/9yTeCLOVpK7iguprWJ5INNF1qXEhYuZlxGuzHfyY7ZU2G9psLuRi3El09ppwnvI+7IGf+4bOkY2OAoxtw2WZdNX4uhLp4PJHc7J4WrNtGM50NE/oQNf29sMZlNCcbXStVY+vh5Z43gh3gGQrWGpZ8qcB/9425JiUFFXhg/rjCv5eXVOOU88DE4LoWkcRvv5v8m9B1645ghvSOvVsTtcOIafSlkLn4/8q/g4dRfu/u0ZROYrnASnuscLX3fkFsmXRtkbVkUnSDLjuyjeAd9R5fY7HsIVchzsTJWUO3CXqncnrG+3Db4a2jFJeo+Q29G5oy9pR+z5mBbYWh0PrOyuD3HE6rU8Kd/bcCnDacn/3a+naFnacqtl77Qt0bVgcvqmGz32Prh098g5q35yLu4S7VfBUbISDdCcXcm/Puhdr5e1P5Gk8fw983N302Ua6dtU4XJNrD+Lnyure2HE2zMQ1txJv4sC6v81H6QW2iIW2GG+ePtT3wB3zNn983ZD4urtIAZtx2rt4znd0beC1uGs2O4zXKAfr8LFlKMR105KiSuzBdAzn7+WNn+CavS9v7kXXtizCnfoPVfHxjw5ffK38bCPXSe3aFm9+WwbzkpdOh9ZA2y2zuXObV4qvs7+Pcl4eUqr7G2Y921XXs0KhUCgUCoUC6SjalY6i4hzG200vfNycJ5IOkVTdJ0t5+vjeLW9Dm++0N+lar36DoC2kgKeAKpvhNI97Vz7CTxTgv6lFMdbvkliTcMPK3JLaneyRkmrhVlh/KkHrEBw10HfF0RdJxRysZ9fsikfoWl0+3mEPrdpO1+ZXY323oP5cC83uIhUbRxpD7DbeHZjhgSNweS46V48G4zRuny/5e3n0Otwxvez29nStxR1//s+v4o0Bj7x6C7QVBvHoTLARvx+6MbhZQTLPD0erukfxzyi8BOtGfrCbp8vvjOBamIuq46GtXzhv7hr7He70/uE6PqlkSQYueegVzUeWepvx2hoXs91m34PPQ19wXa+j7yf4/F99NW/AM/+Mp6A814NPzzrmR6b+uOi23tZsDLS91I1HXwM88PvhKHF+njlcvJ4zgU2lnhV/lRdffFE8/PDD4p577hFvvlnrYFVVVYlp06aJH374QVRXV4sRI0aI//u//xPh4bw2yBnhjhJhcjg/GSp8cK3Jcz25BEZhfzw+yqeQd0XmJ2OHzuLiZKkktTPN/LCAuERXTeY1J/IL5548PJZqXJ8OovnceaJTpw7Cz6/+TdSd1MYVvfca/b2VNzwLbbsO83qv5kH4BpZUxhtvcs3Y2QvWc0dQX8WdAXc33EH6wDIufP1qPJZeCt+NR6VJ2o2bDm3pU/h4sJ834pR48hCcWpZ47cFzdR9PbkbX2kzYoQux8Jna28pw+YBnHK8FHboEb/a8PPnmZgeZ1x3kxY+N3yu509U5EjsLxXv4dadvv7HQ5rWPz6B+cSnubJ8+itc3u10yCtp8tvCxo8YirIpgcaEuMLInfi+nbufd5Q9e/AC07S3jovgtiMPmJfhmLsqMU+KZNn6NXnIE1xv2inZe8lBmUzWKZxvV9fwX2bhxo/jwww9Fhw4n117cd999Yvbs2eLnn38Wy5cvF5mZmWLcOOdDzRX/PNI57N9/gFMnUaFQKBT/Xqx2R4O/zhbPPfec6NOnj/D29hYBAbyBrg4pk/3444+LyMhI4eXlJYYNGyYOHsTZAoSKKP4FysvLxcSJE8XHH38snn32f1EjKbb56aefiu+++04MGVK76//8889F69atxbp160SvXryAuR6pW4Twcb4LL05y3gkm2W/mgp+hOhyyn5uDI0aSKze+j39vzyl0bVtPXHx8wMwdtWorfl3bSbedZGIL3I2ZtX+z+L8vvhG3X3+NiI6sH/XN88IF/NXX44ihZBEZLXdNex5BdTuAx93dm8P1Km8mDYapOv57/fR8DxlkwMfOTb14hG21Gb+X7S4eQNem5uOocFIgT+Ou24ePD8/APXTtLRk48vNO25Z07az9BY2+BPePwyn+yGo+ws86Hkdf08p4VChAjyPoE/IX0LUzQnm0MrYYv9e223GTnORBM9bZ2+vGxzAumoSj9/lGnn354bOfoS1rP4+wTozB1zTdet4IN+btr6At8qtZ/Pd+ifUbvzP/SNdmXP+8aCxlJqw52V3w6F+METer/ZLqvDnLXM7f/6YSUaypqRETJkwQvXv31vyLhvDyyy+Lt99+W3z55ZciISFBPPbYY1p2c8+ePcLTk18vT0RFFP8Cd9xxhxg9erTmpZ/I5s2bhcViOennycnJIi4uTqxduxY+n0xRSyX4E78Ufw+5+fnilXc/0r4rFAqFQnFq17PNxdfZ7Hp+6qmntExl+/a8nvrEaKIshXv00UfFJZdcomU9v/rqKy27OWsW32ScioooNhJZe7hlyxYt9Xwq2dnZwt3dvV54WNYnShvihRde0A6GU3Ek9xMOMA6osgJHdrrbeIi5Ys4caMuNv46u1Xniep/4ABwFkcxKwdGKxCBemNzuINazi+jMU/vFZNbatirT8e/myvp1n51NeE+VX8mjM5klWB7ncAlf6wjvCW2vtuCn74Svd0Db+K5YB1MyPJHrrKWV4QtiwjI+Sm9fu8nQ5jUPN/5IunbDdXmW1by5Z9GUS6Dt96NclufjGDJRIgNHbiT+Hrj+sXs0j6AHp6+Dtu8tPJJpzsCv+fK2PKLMmjcd/bE+p+Syai5XUqRv16jpSZL5FbjG29eDn0s1Sz6HttDBV9C1t1fjDf6BRH7dSSXXneZteM2e98eXQlsWqfWW/NEMa53mDuD1vK0M+JplzOK10UVkis36fO5IBfrgiWCXZDofd1j6d0xmcTga1NFc95hTgzweHh7a199JWlqa5m+cGLCS4wh79uypBayuvPLKBj+XchQbQUZGhta4snDhwtMK37pCNsRMnTr1+L/lwRYbGyvEjkUw9WxMHt3oovKLB+GL0H1HsPaXpPXv+EazdwAvsm4fjm+OiUYeRT3QGt/sEz2xTp5kUxbuXAz974hE+T3Kr76juzANjywc65tFf2+yH06n6HR8zKLdHTvkBiK2Lnl6dOtGjbNzNSpNkhyCX1fhCK7v15l0iT6WijsmJWN1WGS6dxveUZlSg0sPLo7izk2eATtllVa+uRmZh4v7yw3d6NqNdz8NbZf/+hNd2+8t7DgPdiW4/Oj10Nb86ZfpWl0OV1vY5Ys7artEcEHmPgH42FmTwa8dxnH3Q5vuoPPxcHXoOw2HtqSVn9G1RYNugraD1Vysf1cOTquOM/I58bo2WFTf6qJTO0fgcyXShW6ofyXeoHQ/sIiuXZOIm5X2geEDZrdzL/UcK+/bJ/DEE0+IJ5/kAxLONHVBqVMbaF0FrJyhHMVGIFPLubm5okuX/13wbDabWLFihXj33XfFggULtHqC4uLik6KKOTk5IiICD0X/J3YdCoVCoVAozpyjmJGRIUwnZAHRff2hhx4SL730En3OvXv3aqVr/yTKUWwEQ4cOFTt3nizxccMNN2gf5oMPPqjtJtzc3MTixYvF+PHjNfv+/ftFenq6Voh6uhhjWgqjn/NiawNJa4wO45G9dD2Okvh24Qfmfh8sCXHkP7fRtS3vuAvaHFYu29DKjHePdk+cppVE+eGIkyMoWEyYeJ0IDgp2+p6OaY6joNV/8sLwBS1wiH90Co9kzDVhDbZALx6N6G/dDW3WVBzllFwcw2U70o3JjY6w3fUzlseZeyG/JC1hz+3iapaYi6evWIjGpsTdyVjHOvIr+d+7ww9PozBV8pS377e/Q5vOxiMpq+/An9F+C7/ppd6DJ/ckmflUD7uVp0R77vkB2tbaeQp4oBWnPYuqEujaeWQspd7I675S9uL05j2dsaasZD9pwPL35AftwIU4emvtxMddprbDKfHP17s4/9vigMaT63F2RfJ6xQxoc1z5H7p2YD7WyXSYnTejldpxpuifchRNJtNJjiJCSuhdfz2O3kuaN+dRdkRdUEoGqGTXcx3y351cHDunohzFRiAlVNq1O7nOxsfHRwQHBx//+Y033qilkYOCgrQD5q677tKcxNPueJZd1EEtYI1iKOlOdGzkc5MDD+GL7vxut9O1vj44rdHzWS7murcCa/ilFPJ6kwsrsINarOediwWV2HHurUsXvadJhy5diKP1L6LVrfDNIGsRrl+SjO6L0ykZ4SPo2tfIaLkF8bw8IH3ondBmD+KjtI4U4xolSRy5aCaW44u95L0J+KZsOzCfrh0cjy++pf5cC9Gkw3Wm7um8znCFwI5zwpt83GE6cbrCfHAKXxLoiUsTthXxVHsnH/wZhnrzS/+2bHyO7g7ktZFHfXjJywUdsb2VH58TfcyO09ZXl/DaufzgNo2qBZVUdcUbiXmH+Wc4PBuPacx3UVe9dBjuXB+bwMue/F6bBm033M61X/+/vbMAs6M6+/jZ3ezG3RPiioQQIAR3CF5cgpdCoUhxKe6U0kLxAsVaihYoxS24BycQiBEkrrvx3Z3v+Q09+SaTed879+5df//Pc7lk5869M2fOec//9R+UuOo71tfDUqZ2Pkc89uNMXb5vPl2Oqy8bnhyWUhNJnxVBpauorEz1uWzQuXPn8FUdIMsZsojByhNDxur99993J5ygG3PisKznasL111/v9thjj9CiuPXWW4cP7PHHH6/tyzIIWLpsuftq0vfhu8FgMBgMdSnredq0ae7TTz8N3wl14/95UabPA6/mE0/8UnKpoKDAnXrqqWHpvqeeeir0gh5xxBGuR48ebu+95fyEJJhFMU947bXXVvs3SS633HJL+KoqSldW0Ccq8dj1b0wRz7t2RznRBbTuLdfh23+pHij9dTtZs5+yQCdbw9vI7rYipd0Z2KKXbL15Z33dFde+paztfbK4idv0gBPcey/9140YsGYSSOELt4vnFl+m17SasFz+3cHf/kc9d6cN5XaHk9fVrb5rKck9ZRnaXm3VUq5XB1aMld1Ln2+ha6trfy6fW7mpbmH5Yams23Z8WG7RB4I9jxGPzW8rt5UDK3+U51b/cy9Uz+3bXHY9fnboGPXcV86S592ZA/UwjXcXyhnCFYF8TWC9LnKoRf8MVQ2GTtM7pFR2lkNEvpyluxF3KpLlXVCkJ4a1V1z1S/rroQea23H0Ujm7OLyu9eTaoN1m6Jbspk0Gicf2f0iX0UNHykllF7TSx2ruEjl8YHkv3StWooRTZCJShX3WFY+1Lk0OeQgiRKm6sLw8cJUZQmrASiVEpaqgcDb1ED1GjPilZeXYsWPdtttuuyrEjTrOHmeffbZbvHixO+6448KciS233NI9//zzWSfhFgQU2zHUSWAmJp2dDCUp3qFkquyarFTi+cDyteVSI59lcBEMVHrUtv/6RfXcl9vJQnmj7q1yFvYnvaRnH980Ws7We/L98e7gXbZ1Dz3/mlt72JrxG+2ayqSr+9TX1d/9R6Xsaj2iu74xlneUCcy8ZXp820F3yXPjP8fr8ZyZ+td2ni5vjn+ZJRfUBkds0D1nF6C2of9wwgHquTMvlMujbNlBj6ubesEp4rHnDtOzgOeWyYTulM2Siwh7LFeew63vyS0JwcWj2ovHvl2uu3iXoJwKGN5WnxvfLy/OuQD91n3lawYDFZJaJPQC9jjiBVn5uXWZ7u2ZvJvsAt5g5UT13HKlTd/Jz+rlgG7qLMfzVsyfpZ47dQs527pECVkCvcYrsbHD9NaRr8+V7U8Ll+utQ7fpIzdUeGvaIrHg9mGbDQkJUpq4wFz24N1ufNkVN9dDDMDKpYvds6fsWC3XUpswi6LBYDAYDAaDYlEubMS9no0o1gNMXrDCtapItkr06yO7Jmcv0bW3toq1oujYX7K1JbS7SHYRzx++l3ruzqVyxt3UDJaO2RXy8Vs3111ilRWy1ahFk8JV761L1nRvNm0ia+A3lOmt9E4J3hCPzfy7fAy0W0dO0Li+mR5a8OI634jH5pfL8wbc+ZFunTl/aEfx2KZN9T6kC5fL1qqSfnpVgKYv3yEeG3LVn9Rz562Qn+FPgV74uvQPciHwZj/rwf0HD5ctqK0/kt3wYMlw2RV/STfdGvVTIFvQP5uhX/N+Q2TLXuUrsmUW9O2sF3PfsHtyPTww8Au5VR4o2/QQ8VhxK92Sff9Osuvwp6Z/UM9dR0n+qVii32/Fi3JoSp9OuqwcP1g+PqxStyh3V9zLbX74SD132Wx5/X+zRJfROxTKyWxLBwxXzy1ZJP/u7os+rb2C25VGFA11HD+VLnctguQstAHvyhtY9131WLGiBXKZi4GPP6Oe+6zgBgBNp+sxI5/8JLtxTyvTN6Fl28vulKBUd3kFJbKA61pQGnbT4b1nkOCiqpBJ6Old9J67FV3lftytR+qEfIZC9k/O4D46/y1ZaB2aoatDJpfok0oB8s3X0uNftI4Sn8/U585eCgn5pkgnCmsp3XV6LdXLhfRsKRPjzgM76ecq2bgrN5ELyIPuZXJh3GC5npnevUSeOwc304tij5sjd08ZOkfpUoNrcoej1eNDKuV5W/YfPXO56XTZzd90V/13CxRFMVMAVhPFrV3ZVFcyinaWY2N/Vabnk5YUyWO1pKVewuqVybKrfUS3X+LbJMwdJT//Pm10hXzCUjm7/GO177lzowfISlXhsOT1XVYDWc+VKcvjVGcyS23CiKLBQJzRsPVc6Y96y0ODwWAwND5UVAauwCyKhrqMUT1auTZtkrXWJ5bKxZy3ukoubA26nHu9eOz7+XpG5fpd5aST4r/+Xj33tl6yVbDoID0LdMoY2RXT5wE9g1grTj69QtfsmwTyub0myj2VQaUSHtDiuzfVc1v2kQtuZ8J528mFWmcqtSxBM8WSAXbqJ7uXW86bpJ7btVy2hK3XWy8u+89v5fqdhzbX5+xH8+VnvPgCOVkBDPrtYeKxBQN3U89t3km2sHT4Qc+YdSVyp6b3usrZtKBNqXy/Q9vovZ6Ht5Ctb38fKlvIwHFTPlCPL+khr4eN39FrYd5/+f7isfWb6skGbT+Wk+xebK+f++sSWYlsovS9B8EKeb6XtdVbOK4zVpbRLXY4UD13j35yvcqnJulWuA27t865VeJezWXrfCslqxm0WySfO79N8v1U1kA+bhAELkhBAhtqbrDVUTQYKPT97QS3/05bh+8Gg8FgMERdypUpXw0RZlGsB6h44CpX3jzZsnDAwbL17p49L1K/d3NFMRw+70P9mvrIMS7zz7xJPfc6JZlh+lVyNxEw7O67xWN/GafHCp7VT45/K7/xPPf1l5+H7006rxnIv/xCOSB95fa6heWnRbJ1pv/CuTnHKP39Y/1+T+srl95p3Um33DWZpddoKy6TS5xUrLV+zrFipQV6fOOBE24WjxX2OlQ9t0drua5g2y3lmCwwabBsNRzSTLdkTl4iP8Nbf5SvCZy5hWwVGrhSr+umWX7adpcTXUD3yXLJpwPW1VvWvfiznuyw3Vv3isc+GJKcsODRrc3O4rGKItn6CgpbyVbwo5bqXayWfSNbFJvtcqR67pdKF4xTNzxTPfeVIUq5sPl6ObDJJfLc2b+lnggzu6lc0mtQR70j0KSiNevQevRbpsus8g7yNbdblHy/hUv1MnB5sygGjdeiaESxHmDW3me5Ja2TazK1KpZdiIM66BvJgmXyhr2gn+7ynL1EJnuvTNbrex27jiz8gov1AuVnvSgX3L1ulE4yxpX3EY9132UH5/79avjeZ/CaPWMXt5YTZVZU6OPcTMmYdsPljQ+0WiEnjZzeRxeQX5fIZHDwJ3JbMfDz83orvaIzbhSPLVYKjIM2JfJz6jBer8FZuI3senxshk5Qtu4jP4eZ++g9aN/7QX4OQzrqyR0dlNZx5w3XyY37+L/ioXGd5OxhsGs/eZ0t/adenHzavnIW8FpCYp3Hzq1kJQJUbCX3cy7ZWk9IWV4sO8FKb9BJV6ejZKW6aKGcNAT+21GuHdhhkZ5Et+XZx4vH3hgokypQOL0wJ5d2plCbuV303tbtlXXYdj29juKPShJyWRtdQXnhW6XW5cvJyZfly6q/13NQmdL1bBZFg8FgMBgMhsaFypRuZXM9G2oNLYuLXKvi5JIye/3zS/G8p/eWS3qAoKlscShYIltQwNdLZDfObzbQA+VXKqGx0xbpbrzN+sn39FqZrtlvXyS7j94c+ot1ZtnQbdySDdZ0q7deLFscnp6tW7JufFn+3eZN9SX4+CAlZlJxpYG2g+X2X4Xt9Ub0PQ45XD2+pEQucXTK41+p556+vVzWo30G68DzpfLzH95Nd4mVKa7aQTP1jjAfN5GtgpUL56jntvpQtr5W7q63YXyn63bisU266vdbuFy2OLfeRU6CA7vd8b547F+/1bv6NGmhl1Z6e6pWw1Ff/z8slFsP/v6489RzV77+kHisIENCyl/Hyx6Ue4/SE1K+bSVb4JoppYLAWjPl5I7iAXqIR5nQ9hX0bqPLysXrjc7JUgl6NZctnU1m65Ul9u0py6Udj0tOgipdtMj117toVhlB5S+vNJ9riDCiWA/Qo3SSa+OSSd0zW8uL8o/f6LlKJ43qIB5rNUdP6tg8kGPrflqqZ7Z1bSL7JloU6zW6tu3bLqd4PlC5SG4P1axTc/eXO+51zTqt5WaUrenOH7x4tnjuzl/pvW333Enujfpuc5mAgMJ2svu4orl8P6BcyWyepWSegs5L5Bqb4OGv5PCCh/bQSWjZk9eJx97d8Qz13NGt5Li7o1/Ur3nX9bqJx0o76eOx/yS5rujK+fLcANO2kfuTD56jZ4hvWyD3TX/2R70/9YAOMpHs3F6vwTf2NPn4j2V668ib3tYLgR88Qq6FOaKJTrorF8gZ1QXlGXoQb7KreKw8Q8zuqxvL8YCVxboLeFFT+Tm0W6qHLQQjZMJW/tnL6rnz1pIJ+/2f6wXXf91XZjylLeR1BFr+PF489qefdSNC3/ayArrbJ9ck/r14qbxG8oXAYhQNBkPbdu3dLnvuU9uXYTAYDIY6hkpzPRvqOoKikvCVhMcrh4rn/W6U3IYrU4u/PR7VXc9jldJxyzIkd0xaKU+73m30KVlSpmjgTfRkllKhDhdoMWeGe+jhR9zBBx3ounZNyERVPKLFO+kB+JPLZYvCZsv17MMVY+Wkk0UTv1fPXWvHXcRjlYv1WmjXrtxIPd6plSwQK0t0N96725wqHtv6XT2ZqXBzeeL96Qc5mxZ0GipbZyY00RNDFnwkVwG4aoCe9X7EStkCd80kfazO6yNbS3ZtrrdZrCiSLbsFpUtydlv3nqHPu8t30ltLfjpT/u2K8a+p5xZtILtxg8l6xnRhD7lG47gZ+nj0bKNYyXUDq2ujdlfJYJ2bLyfvfaG09wPbNJfvad1H/qieW7m1XKOzTVs9pKmys2zpHrO+3HkFdGkqD+ZPPZNrnZaWIsv09p1VRWDJLIa6DlqTtSpKznrer81E8bxyhZCBFuNfEo+9todMqsCrRTJBLVqouwLaNpOva/4yXeoWl8gCu/N8ubcxWNha3pRnTfnOnXveeW7bTUa47m3WJJyVC2SXWPnn76i/22dbuYj4rGI5ExuU7CSX1mi3i07I5912gXjs7O5HqOdu2FefO3sPlZ/DzxnKtvRuKx8v6a+HLdw1W/7d4p3OUc/VOh7u9+Jf1HMX/FrOEq4Yq7uPWynxnGc114u1z+0iu0ubFumhJUVP/Vk8VjJUVwTKBsnEudk0PSylaYYi8v3++4R47PMj9GzsjebLMdlPtdErNez6jZxBfsE3egWBFw+Rs3XL2+jkp2SG7IqtyHDu4vZrVmDwWHe5rswHTeSM+iPa6aWkHvhA7rndYcyJ+u8Wywp7maI0ga5fyM9oreE7Jf59UZEct5o3VKYjinyuIcKIosFgMBgMBoOAyiBwBSniD2uiS0xtwIhiPcDgaWNdm5bJ7suzZg8Rzzv2SblVHnjjeDkb88heutu6p1y72nVrqWfUtSiSF9Oj3+g12DbpKSdwtO+gB/e3LpAtMLdM/cUK+ujU5e69pmsGpx+8nlxkeFb3LdXf7V4kL7Np83Tr68ZFchD9C5sfop67+ddyJu8VK3Sr36zFco1NcPnLsiX7utH6c/jtC/K5B4zQx3LvZ68Wj3XaU29pNq2jnCVavO656rklynhtPbCTem7fFrIVZcn4T9Rzx7bcTDz2zJd67b87esmu1kApmA+e/k5eh/st0920K6fpxdo7nniJeKzLYj25Y+S/5N8+bR+9LWWTXnIVgH9PkZOVwILmcvOC+aX6Wun5nhw+0qSr7rlp1UeW7yu7yl4dMHuFbMl+YVddRo9vfpl4rF1LfZznVMqWzAFN9KoGn/SVQ0s2EmrKFq6sgTqKQeNu4WdE0WAwGAwGg0FAYDGKhrqOdztt6Vq2Sm7SvkkLue7YWyforfR+3Ue2dJQ5XePs3EJeEF/P0WNGRv70inhsXoFek0wr4VWwUv/d92bJmv+hM553Xw0fFL73q1yzhtyP/ZMDqcHsxXrtt3bNZM1+wzb6uf/9WS5htOe7D6vnVgSytbJloI9V5/Z6ksUNA2XLTzBBL1Nz98ZyiaO7M8S3zhojWzpenKEn6PQvkcf60xllemJAH9mSvdfA5Phhj8Jv5fZwTTO00tvXyTUp9+qol6H5bpDcAaXfK7er5x649QHisZVTdQtOk63kc8G/JsnP+OC19fF4qavcwrNNhb6WnnFyCaRd1tWts65A/u7ZlXqsaNP1ZKtwYXN9nc3qKLeWvPVtPRHuyA3lMkRBBqvw4iJ5b1jWRq8b23WhHLNb2VJPhFlnrNyis3L/05P/Xi7L13yhstK5glRZz65BoiBoqLbSBoBFixa5tm3bum/O/7Vr3Sw567lNXzlrbt6uek269k/LmWLNRusFlz9YKrumP/pZr9F16DC5v22LsXep587ZUs4w7T5V7k8LbiiT3Tib9tKLV6/XRc5cLr1G70/dfT9541w4QM4uBO0WyQV3l732iHpu052UZ1iub6qVbfQexI98JxOrQ5rKrmXwUcvh4rENW2XIxl0mJx1826SHeu7gFfJYPjhHf/57DZY3uDlLMyRgKVk0mhIBSgL5Ob36o16/r1MLWdkb3ka/5iZzJ4vHSsc+pZ5buu95Obe0bL9QJ7+VLWS5U/6GrjiVbLSjeGx8E90F3PYmuf1f+wtuU89tWrksd2YxTnaJTxj6K/XUtQvl+p5Pz9EJ6qieyYYJMGWBrsxtotS6LMxQ2Ly8x7pZ94EPC2736uEWLlzo2rTRlbZc9+D1Tn/UFSn1MD0qli9xX/7lgGq5ltqErgoZEnH11Ve7kSNHutatW7suXbq4vffe202YsHom4LJly9yJJ57oOnbs6Fq1auX2228/N3OmHn9jqD2Ur1zpFsydE74bDAaDwRDvzBKkeDVEmOs5B7z++ushCYQslpeXuz/84Q9u5513duPHj3ctW/6iMZ122mnumWeecY8++miokZx00klu3333dW+//XbWv9fxN2e7Nq2TNbyyEtkS0qVQtxrM2uMs8ViLYr3Lychi2Wp43we6RXHJc1eIx0pP/at6bs9ALgnxnxI9QH+bfnLZhmDs3W77o85y7937JzdiyJpJAJVd5PptrfbZT/3dV1tsKB4rnKG78bb44pncLIa4C+Z8n3Nnlo7l+nUd1Ee2hJ3xhu5e+uonuVzIX966Sj13yJ0PiMc+mKDPu55D5eSOA8b/Uz3XDZXLiSz67f7qqU1uli2/rUoy6OqFcqei7Xvr4rvgvX/LxzbYWT13WXc58afVKN1N33KpHnpQME+u/1g+cHP13CZzZYvjirl6V5cSZRfv2lIfy+Vnyi7R4lf/rp5b1HuweKwiQ1JR4ZBNxGNrT5dDGsDUu+8Tj+3x6yPVc1+bLcuHLXvJ1sYQStWeRb300KLHxstW0H2G6nVyqxOVlUFK13PDdNCa6zkPmD17dmhZhEBuvfXWodm5c+fO7l//+pfbf/9fNpFvvvnGrb322u7dd991m26qt5qKm73ve+cb10KIUezdtllO9dvAmL/KpPXJM7dSz52vuNuaKq4lMKClLLALl8xXz9WO/9RGdi2Dzi3k8fj8kVvcpgpRvHS+nGF4cXu9fuNSpW9qs4//o55bOEDeSFa+97R6bnHftcVj03rrLu9uGTbOqcfL7vQnj9RrEp4RyPOuuJe8qYJA6QW9eICeMd3qh4/EYyv76HUFC1bK7sNbPtfr2e27jty2rNs43V3aZB25NmDl1C/Uc2/eVa6jedJkvf3bpApZAe3QXJcr7ZfrLQ3Pf18mmuf9+A/13KUHy0192zbVr6t4uRzDWlok970H7efKa/zzYlkBAa2uPk481u8cvUnxK0vluVORYece3exn8di8J+5Xz31xWzlsaeEyPev5uDZykfCKnnLMJfh2SUnWShUFt4f3X6taXc9DT3o4tev5m5sPqpZrufLKK0Pj06effupKSkrcggW63AFHHXWUu+++1RWG0aNHu+effz6r3zbXcx7ApAAdOvySeDBu3Di3cuVKt+OO/x8TM3ToUNe7d++QKEpYvnx5ODGjL4PBYDAYDLWf9RykeFUXVqxY4Q444AB3wglyE4Yk7LLLLm769OmrXg8++GDWv22u5yqisrLSnXrqqW6LLbZw6633i7Y0Y8aMkPG3a7e6Vk5rOI5psY+XXnrpGn/fo3K8a1OZHARcPl52xUzfWK+z98EZsnvpio/09mB/2FLOqBs3S0+UGPOMnOzw0K56/cZg0Vz5YAYF7gel3tmivputep+/9gZrHD9DSUgof/VF9XebDZETMCYN3k23ZNz9B/nY769Rz3UL5GfYuUWTKnXX6HKzbAk7Z4oeXvF+G7n12IiP71HPLRkpW2cLtJR4tP2Fc3OyGIKTn5cTYW7ZSg/QX1BcmJPFEHxxitzusOvfZdcy+P3nsqVrSqAn71z5klwL8e99vlPPXbqhnmRxVTe5G83nG+j1LIdVyFaU8pf08dj9B9lq/OIu+npY0V1Oslh/ml4L80/7y91mjm6rJ2Bt22ZJTm0WM7VwbHqcHuJx0ER5/Z89S+8mc9xUuULAgBm6x+joDeXx+EaoprG4TE+uaSgFty/9Hze49169VWkcTZs2dd266a0iM8GIYhVBrOKXX37p3npLjxdJg/POO8+dfvr/lwDAotirVy9X9vHbrrB5chHTZofK7qUuT8otvMDKX8nuhQOG6XEo35fJC2JkG33hXrqb7MatbKVHAxeVy9/dffKr6rkT1pLbkrUY98Sq99YL1nRRFo+UW6kFm+kbY8Fk2eU5cHmG9lNby9c8bbEulNq27iUemzRb/92evfRYsS6fypmvH16sl14Z+Zis0b4+TG8tuG2JbGVvtkzfhO4pkN34w+frJPPWobI7tXKyTpyKhsslXyra6gK8/Z2PiccybUllneXQg7YZLB/3biuXQHlxsRyvC4ZkyAIv7LedeGzKdJ38rPO53OJty4/00JObfi2Px+wOevzbc1/LSsb2/eQYZHDy53KZsqLiU9Rzm8yUFZQdntBjRV84RnbztpgqF+MH77aW72kv3XvsXp0ox4qetYHu4p+hiP9RPZPPXbSo+jNIsq2jGPcGQtZ41QZee+21MDSuffv2bvvtt3dXXHFFmGSbDcz1XAWQoPL000+7sWPHurXW+v/NAPaOmTgeQ0DWs8bsmUjENURfhprB+n17uun/uiZ8NxgMBoMh3pklyPT6n0URAw+xjf6Ft7A2gNv5/vvvd6+88or74x//GOZR7Lrrrq6iQlfm4jCLYg5gMpx88snuiSeeCNl6v36rN27faKONXHFxcfhwKIsDKJ8zbdo0t9lmcvFVCQv2OM1VtE4mjUsXym7eSWc8pH/vEDnz7Z1Jc/VA+fVky87oV3T9Y9+NZAvLwOGyuwSUd+ovHlv63L/UczV7Q8UuxznNGVfwnexOfa35mq7qKLaY+rV4bP6XeruzdmfJWeC9PtBdbW6j3cVDG7bQ419fnqUX1R291kDx2Mh/6BbF6QWyArSu/vhd+VtyBvHpy/Rklht2lF1mc50cRA8KKmR32jutdIvSuoo7Kmii/2435TGsc5oekP70pXLdwFbFeuJHu0L5+M4t9ezimU36qMdfmiS3Bzx4bT305Ov2cjjNH3rrNTg36iYnIzT5Vg+1OLSH3Jay/B3dFRiUyNbKnxbr1rBeikXx3iPl5wvmVspW8mlKLVOw6Vw5lj7opyd+dRkur7MfMhQn71s2Qf7dsmS60rRUt6zmA0FlkCqj2VsUf/jhh9UMPZI18dxzzw0JnIavv/46zHHIBQcffPCq/x82bJhbf/313YABA0LessMOO6T+HiOKObqbyWj+z3/+E9ZS9HGHaA7NmzcP34855pjQjUyCCxMGYglJTJvxHMXCZRWuojhZA2jWRF54Hd7WC1APbC4X5D2wv+6KqZwkx7/99QO9AO2gMUpRbaWgMgiK5Gt+YJicXQgOfkcucTF7SaH7/UVXu79edp4b1G/Nje6bLqPEc7f5Xnd5FyjZxz9s9Gv13CKlx/Cls3Uf0HaT5Y1z10/1WMB+o/Vi7V9VytnJnTJkxfaYLxPnKa1092GHYplYXbaN3MsXfKL01f5spk5+tv27LMwHXKNnkH6luPk7KmsQrD17zS5BHv+5WCcKWhbw5Pl6TObK1rJlvc9yvfxNpwI9rGHnAXK3obIKPQSgdYm8We8yQCeZpSvltXTRt3J2Mbihv6zBPNxdjrkF2/eT73etQr0MVUFvOTay7WN6nGHx4XJ/6q6t9Hn3fQu56kVvJU4UDFCKyM+q1BXQ95xMyEf+NDbx75WLdQUhbxbFIH2v57QewTPOOCPMTNbQv79sHMkWfFenTp3cxIkTjShWN2677RcitO22267293vuuWfVQ7/++utdYWFhaFEkm5mU9FtvvbVWrteQGaVli91Lb7wTvhsMBoPBUN29njt37hy+ago//vijmzt3ruveXU9IisOIYg5Io1k0a9bM3XLLLeGrqmhz0xmuddNkDbDTFXKx18FLZDM+OOt92Wp4+Ypn1XOnPPmGeKz4L3r6fVAkZx8X/ShnRILSPrJlr1trPYmm7LBLxGNvvPLOL++L27mfFnVa43hPpeXZDwN0y07JTaeJxzY4W3eXFlTIlp+Tt1o95CGOdnfJGaQtDtG12Mte0OfOPfvJFsUmc+Ver6ByoWy969JVt5KWz5ku/66SmQ426CIHk6/dSbcotTpDtrAuzdCG79Y35HZ4D+wqW5tAsEJ+/r3b6FahFmVyHT33j2vVc5ucer14bFYTOUkK3Pi27C4FQ7u2ysn6BtZqJY918Ywv1XObF8jelz8XJlurPJrMlpPKDhkoW8HAd0pyT1uhkYLHc9/LNQu3OOB89VzNvtqjqV4L8fbP5cSwzTK0O50/T5bv23bVrc3PzpIV9U07JpOboqbVr9xXQgBrueA2oWvz5s0L34kxpJ4iGDhwYNj9DeCiJh5yn332cWVlZWGmNMYqciMmTZrkzj777PDzGK6ygRFFg8FgMBgMBgFBZUX4SvO56sJFF120WvHsESN+qeJAMq33bpIL4es6FxUVuc8//zw8h8TaHj16hB3kLr/88qwzsK0zSx2Grwr/8cQfXGshmUWrh/fCJL1cyL7t5aDyyuZy8D5Y2VI2l78+TU+U2GmxXC7mzTZyyyqweU85IH3cTD3uqlcbeXGc9Lf/uP+ef5jb88p/uk791owpnDZXjoP591F6MoOGO8b9rFfWHyG7CFoX6YHw5U/IHVKaj9StoIvf0RMlNvlEbsX11al6bbh3nGwJnbNE77W9Z4XcjWR8Z9naDJaVy0L81QzJW2cMkcVk5cRx6rkVc+XaqT9vcYx6bs/35fjHksF6+7fKVnIJjIIMG1rlD3Ic6dL19dqfLSbo1rn32svPaUB7PTZ6udKO5Jlv9TjTfdaWZVanJvq8m7pEtmROmq9byTbs1irnFo7TFsnJigOn6rHRZ02X62j+cSc94ei9mfJ4fPyz3ipzn7Vl63yGUqeuR6W8Z13xcbIMXr64zF2738hq7cyy1qF3usKSzJ1ZKlcscT8+cGy1XEttwiyK9QCvTpnvmrdMdhUc10LOmp08T3dN/tBTdpnc9LZcyBtco5TZG9xBd0182UouMrzlNL21WFGlTJyKm8tJI6CL0sLv9D03deu5P7md99zUdei4puu5l+LmGzddd31s2VY+fupA3QX0/TJ5Qy/I4PIs3+NM8dh3ZfrG+HAXPTHg8wvlza+8ia6tVsj6iVu4TL+uj7vIBHVEkU72CmbLhd7Xr9ALzC9v9//Zg3F81193Ww8dKY/HpAxKVautjhaPdfpeL2wezFbuqaXu8vy2307isaHz9NCCt9rphL2TksDToanOJAqXyuM1ZlhX9dw5S+W19p9vdPJzzHK5Tm7lUD2ZpVOZ7Iqf3kJ346/13HXisYJd9X7NmzWTE0dmr9Blx5ZLZGV+i0E6yQyUBJ2fA704/eLma8pej4OHJ8uGstJFTg+kqDqCysqUFsXqr+lYGzCiaDCwQXXs5A4+6tjavgyDwWAw1DEEFRXhK83nGiKMKNYD9GnX3LVolawdft9Rrst4RteZ6vcWlsrWyD9sp9dtKlN8CK0ydKt/7Cv5ulqvu7N6bqlSLmZQO70m3QH3/xL8m4SDhrV149541W209faudds1rWnrKGawbcp1S1awTLbOfVvSWz23ndL+rV2GVnlfK67YCXN0K+jlG+suwDcXyNaKTb/8p3ruVsPlBJ7lrfXx2LBQnjtfnCC3u8uUkdjzvl8680hYoVh2r31F78xy3dQ7xWPbnCUnjYCir16RD3aTXYvgjsVyuaAjBusdYQa+K9dgXbDJgeq5Pc+TraCg7/lXiMeCxfq82/5u2Sr88gg5aQj0V9olbtxTt0ZObSpbDXu31pOKgkXy8W/m6KVdNthPTkgryyBn9x4sy+gpi3RC80Yzub3r1ivkUArwdaXs4l9vyVfquY+UyRbW/bonJysuKtBLquUDQZAyRjFomETRYhTrMHx8BHUapXgHzVEzZaHuxhu04nvx2Jw2eu2mtk1lAlO0OIMLsEKOuwkmfayeW9Rddqf/bYbelqhtM1kv6rtkmttyyy3cW2+97Tb4X5BwFE3nyBvU4g76hr1CISjv/KC7HjfuIbsIX5io+HCpDfijXO/s5C30TM0fS/V+3SO7yy6kez7VN5L1usr3NPjBC9VzOx/9e/HYrVN1RUHL1hzRRI9v02L6ClZkaKW2Qia/H/6g16Tr31GOizpwkV4n9ZtbZMK+7l/09p4qAt29VtFad8WP23t/8djg/+qxsTNOkEnq9Iv12qA/LZJjmA9eR5cdKx6W+6o3W1uPUQ6WyETm5/X3Uc/912dyln8rRZ6BE3vJyuCs+/VSbR1Ol13ewVi9bujsTQ8Xj53ztBz7Cm7cZ52s65EuLi11e4zoX60xil33+bMrLNZrQILKlUvdzCfOsBhFg8FgMBgMhsaCoA5kPdcmzKJYh+G1mck//OxaC9rJPMUl9m0Gt8aADrK1ol9b3Z0yY4kcGN5rjl4L8eY5ckJK77a61rb7ItnduvInPcj+whI5W3OjPx/jDnvzQ/fPrUa6oW3XHOt1jttbPPfxteRjYNu+siXrS6VuGNi+rWyN+EZx8YC1V8oJSQVL9OD9sl5y0gh4U0nCuPQR/fnff7zcnUjxtIfou/wH8dhnTs+2XrhMnrPbFuhz588/yUH2p7YYr54b9JVbPE5UWgOCro/JbtolYy5Wzy1TwjT6jntAPXfR19+Ix9qeKFvXQBMlaShTG87P5+i1UPu1kxODMiTUulbvyfVdS/rr9TvndhkmHmtToVuUm8yflnMnorVayne19J96Z5ZnNzlRPLZDPz1ZbbHSxaY8Q63AfsXyvrOwiZ5ENV/Zz1oKwqF00SK3dt+e1WpR7LznNa6wWA+LAJUrl7nZ/z3XLIqGmkdBQYErFGICO/37SvG8fnvpsUIr339YPPbdSL0g89pz5ay4im56K7XjJj4jHitcV3ZLgas/lAX2BevpLq8TO8nu1nkVxzv35odu8KnHuw3WHZIVuT2hj76MJi6Xhd/anfQswG+Wy8Jp7Uq9tM4FX8pkf13FhQ+aT9FdokVKjOobG+n9q2c0keNqD73zA/XckUNlcnz9ML1I+MrOcojAyiJ9w/7dJ3eIxwo207NeC5bKpPyuT3TCfs1BJ4vHVmYoMD6oXM56/n6Tw9Rzu24nz+m7P9Vjn7fso8eZDlkuE6sNSzOQ7qZ9cg5buaOV3LLs+OV6lYe2K+SyLfdM0isXHDZMJqFdMphpAkVxar2b/gz3ay+TsuJZ+jiXdJZbB85crN/vgf+Wx/LgkXqW936dZcV43JJk+b44Q5hMPlCJpTCFtTD8XAOEEUWDAW21eXM3avi64bvBYDAYDB5BI3c9G1GsB2g9+W3XulWym7iin2wlqWyhuxcqdzpOPDYo0LXGH5vKhbGvf2OKeu6Vi2eJx4rKddfTWWVya8GVfeT7Ad1fkK1CC7Y91j0+ds/w/5PsJSeVyNaqiStltyRYpLg87/lQdqWCtZTwgC7v3q6eO2bMZeKxri31pf9zqZ4I1UU5v7hAtkaAtZbLlq5XTt1cF1jj5SLDC7ttp57b3Mn39M503SrxQad9xWPHP3+veu4JxXJowr39dDdtZXM5XKKd09doUCjXyrv7ox/Vc3+7iWz5+fVwPeRhyX3yvAPTD7xAPNajs27p/mK57KofusHu6rnHLZ4tHgsqdEvXx2XyOmxVoof4NFNaCz6+qV4LccULL4rHDnR6q8S5rWTr68IWcgtO8MQH8vw4YZO11HOPU1qLbtlLd8f+tEw+PqRt8nxeVFL9FsXAiKLBYDAYDAaDIREVFS4oTEECrY6iobawZMAWrokQGDu5s6xNrdNED4BpNuU98diTlXrM1vpd5c4cfx4oa+4hKuUYNTddjzNrss0h4rGVz9ysn7uLbHH88ck73agjTnfv3/8XN2LomlbaKxbI43Hehnow+4BCuVxQh1F6l4OflfibI5rr9ezOLJOtsz1a6Ut/nZa6ZffnCtla9W1HvVxInzZKGZtMMVu95RjVZ7/TywV1aiHHbH41S3+G+68r19n7os9p6rl3dZPjUF+Zpsfz7aCUonl7hm5R7N9Bjqu9rL+ecLTiHbl+44+jjlDP7ZMpNrqJlrGklzhat7187tIMSRZNSuTnUPHGU+q5P/aVLcr7zdZL+lT0lNtljvz6ffXc9k3ldfbazxup525QJMew9n1bru0J1hlyaE5JUmAHpSTl+PnLc/ZUtJ6U3B0nKNMTAvOBgPqIjbiOohHFeoCW86e4luXJxKzPM3KttMJ99E4jUzvLgmYvp2+6i5Ue0+dN1YvXXrOOvLCDprprorBMJqFNdvq1eu6yAjljcuq//r3qvUWHNd1b59z5iHxNc/VA+EXt5fCAAT9/op7bp6vsInpqzED13NIieWPsMEvumQw+a6YXXB/cQX7+kxforqBpi2QX8OCF+nUFLeQM8pE9dfdh71byprtDC72O4iwlHbtrK53clCyQwwu2WEt342lOzSUr9U1XrWdRomdwLt5GJnv9pn+q/25zfQ23X6n0oC/Q096fniLLjsEd9cSwdZWElW2/0cMlHttadnl/3V5PwOtYJK+V7kV6n+izX5LrKO6zvp7l//Mx+4nHPjjrb+q5Oyr9qR/+Uq+Tespweay63X++em6zU/4kHpvZe3Mx67m6EdCaz1r4GQwGg8FgMBgSYw8rLUbRUIdx/aSmrlnLZGvYWfudIJ63sJkedP7p93Jpjl69dO28RCnN8ce1dTfed63k6vsdm+vN6tvPkcs6LC+WtWAwo0y2ZPU97ADnnn87fB8ydE1L3b+/lcvFbNxDt2QtXCBbfjp2kltlgRUrZLPQcwP1WocH/yBbK2d3ll24YOEc3dJRvER+xoO/fU0997G224rHJjXVu9xsnWDt9ehXJltfwOdz5eSuoR31TkTtlUo0nQJ9vh/9gmzxuKOF3iGjmdLucOfOukWp9CG5+0r5esPVc+e2kEtctZktJyOBKxbrXU4uXE8er/KPX1bP3W2F3F2leEvZPQwqWsuejr8drlvnWz1/o3hsnd2OV8+97gO5jNXZ7fT2j0dsLCd3rddKt9wXXXC6eOztJbqbXnMvt2uu19idE8iVI1p376Ce+4ZSn3V0h+R502xFaQ1ZFCvTfa4BwohiPcABw7q61q2T3TkvK0W1t+6tu3G6tpRdZhWv6wV5S3rImW2T7tV7/fa79C/isWlK1huY21KOFVwrQ8Xd3m1kAffngl9cvC8WDHbfFa5JojbsJtcke/8n3fXRs43s5hv2k06qJvTeXjy2zxS9blzHUjkr8o8TdEI+S2l3BjbdRSYSv/lBd1vfO2BhTpm6oGCy3Cu2MkP9znUnPCkeK1L6AINn57fOKV4X3LODPKe/rPyNeu56BbKbb4OrdRfwuB1k8vvt4F8y/CW8PkmOq33yU52gPre/vq2sGCv3kV6xp0xuwI3vym7886Z8pp7bpJMcs9mtq66wlY4+RTy2cIluRTqruRwPOvptPUznha3kOPLpLbZSzx1XJCuDx/bW63c+MVsm80e31HtqFyyQwzhWdteV6tcnyefu3DWZZAbF1W/FC8yiaDAYevYf5K578g3Xoau8mRgMBoOh8SFo5ETRWvjVYfj2Qac+8r5r2iLZanHZSLm+11Snm/lLrjtJPPbR4Xqbrm36yC7Ag+7VLV3brC13UDm/y/fqueWDZS163Ay9ntnG7WW3wGIl8QO0XiRb5yon6QkphQNGiMf+PVtvabXPgrHy75bq3VMqdzhGPHbmM3p2+eQMrQXbKhnEQ3voVuEL2n4tHivsqdd3W/T0/eKxNnvq3YQqWsn1LqculxOdMoVEtBkv17oDhc1b5vwMC/vISRYfVehKzUYlsnUmaKY/o6nlslz5biPZHQ62+kbP5NVawM1Zqmdy96uUa7COfkQPPXiqg1yDs9lWehvOjwtkS9iGhXqnmtJ2cmWDFuX6Oiv4Ul7/y0bsmfM4t3R6IlSBliilZOJnwpM/6nRj71K5RWtR556Jf19Utth12Hh0tbbwaz7qBFfQRJcRIChf7pa+f5u18DPUPA5Yv7trJbiepykdTq8bq/evPfKE68Vjmys9VUHb5bJr6vmNdcFZ0EeOndzxYf13n1d4xKZOzz6+a4IcO/XJl5+4N/95k9vqsJNdu25rZqKuKJc1xYNHjFZ/d0SBvGFv3EMnil92lIsID2umx+bMXipf81976UXR3TYyuQU/Fcpj2e3d+9Rz5w2VM2r/Pk6Pfzt314PFY3Na66Vm2pbIoRivTdDn7OiB8v227avHey5XXK3FO+ht2CoLZRG9bKG+YWsF9ycs0TO12zWVxypQikCDpuNkFz+o2PBX4rHmaukc5+YVyeT4uSMzNBh4Sy58PamZXuh7xDQ5ROTGZXrG9O87ye1OH12ux+Tu1092iTf7TG6FCqYO3Fk89t48Pb5xxw5y6MniFnqr1OXlMhncXh9m12SWvIantE0e59LiGsh6rqh0rqAi3ecaIPRVaagybrnlFte3b1/XrFkzN2rUKPfBB3ovW0PtYFnZIjf+tafDd4PBYDAYovURg8oUL6ujaMgWDz/8sDv99NPd7bffHpLEG264wY0ePdpNmDDBdemia2VRDG66zLVpluzqe32OzPW/VxJdQNkK2c3T9sU79HN3+714rGmGVlpzFUvX9Qd2U89dWiFrqwva60kUWzeXf3faN78knPRs18z17rSm222L3rK1okQpbAsmVMgB671b6hmEfQLZGnnnRF3PO2Y9Ocv7ngLdYthttm7Z3bWzbFH+aTO9LVl3xVr12y/1+m7LZsnPof3OemLAo5Nlbb+9sL48fvOgnChxywF6IkQ3JUHjns91S+YWvVvlVMsSLC+W3eVDWuqyYeV/bxCP7brlXuq5M4fpLtGPlczWAUrLSjBwuuyaDHrrmdyFW8vW6NfG63Vj+ykE4ND1dZk1cZnsQdlCqc8JgnJ5DT/XVk/AWvqz7HHYL9ALrl/1mZwIdarSLwG0+0iuOVu5WFfELyyRraCDOifX31xaVhNZzxXpLIoWo2jIFpDDkSNHuptv/qVjSGVlpevVq5c7+eST3bnnnps6PuK5Tye7lq2TXZRdlMzlPq31DNJxM2X3wgbv3aae+68Bh4vHft1RL8ha1lV21RUpZXfAPIVknvmUXDoH3LKf7CKa9Ml7brNtd3TvvvayGzF8zY1/QYG8gc3NEFc1ZKncz3dqKz0mr/dUOUZpwZAd1HPbLZFjthY8eIt6buvjr1KPF0+T41BX9lxPPTcoKsmplzMoHSz3c276tJxND77f7mTx2JCFslsSBM1kwvZRoGdynvrPceKxSzOQzO3bLc65l3vBcvnch6fpYv/gAnk8grV0V2um6yqZLmeul7fTC5AXKQX3K5vLcdOgcJ7cv3hlb11xCl6Vwyk+WlcmoGDJaJn8bPJJcrcRjwtfkMvnXL+FHldd8blSUWFLucMVKKiQXdMFK/TSWVOE5hCgf7lcKij87nly6MmS/puL+2SvHt2qNUaxePgRrkCRWx5BxQq38rP7LUbRkA4rVqxw48aNc+edd96qvxUWFrodd9zRvfvuu4nnLF++PHx5MNnAYkVjKquULSGLAp0oLi6VA5YXLdHLo2ha3KISPUC7rPminIli6TKZKK5cqtez0yr4L168eNX7okVr3ltpgUwGy5bpRHGRcl2lga5hLyqTLT+ZOhIULpWfUemyDF09Mnx3sdI2a2WGc1WiqNxvpntummHOlpXK5xIQryGQDTtucYZnWL5M/m5tbYfXVaQQxfIMpYRWyGO5tEwniosK5HODUv2aM11XSal8T+VF+ncXlclrqbJct84VVmXOLpHJ0eIM47FEsTJBRDSsUOqVLirV4+EqFiuELsPvqkRxZYZ1Vi5f16JyXUYXKM9oiXDNpf8b/+q0eQUrl6WzFlYogqIewyyK1YSff/7Z9ezZ073zzjtus83+31Z/9tlnu9dff929//6amYGXXHKJu/TSS2v4Sg0Gg8FgqN/44Ycf3FoZWmJmi2XLlrl+/fq5GTN0L1kU3bp1c1OmTAnzEhoKzKJYh4D1kZhGD1zV8+bNcx07dnQFBRmqSSeZ43v1ChdPQzKBVxdsvLKHjVl2sPHKDjZe2aMxjhm2LqyKPXroheBzAWRvypQpoYcwLUpKShoUSQRGFKsJnTp1ckVFRW7mzNWD1fk3GkcSmjZtGr6iaNeuXZWuA2HRWARGPmDjlT1szLKDjVd2sPHKHo1tzIgjrC40a9aswRG/bGHlcaoJaBUbbbSRe+WVV1azEPLvqCvaYDAYDAaDoa7CLIrVCNzIRx55pNt4443dJptsEpbHIVni6KPlgsMGg8FgMBgMdQVGFKsRBx10kJs9e7a76KKLwmDYDTbYwD3//POua1e93ls+gAv74osvXsOVbUiGjVf2sDHLDjZe2cHGK3vYmBmqA5b1bDAYDAaDwWBIhMUoGgwGg8FgMBgSYUTRYDAYDAaDwZAII4oGg8FgMBgMhkQYUTQYDAaDwWAwJMKIYgMCXVwOPfTQsNAqhbqPOeYYV6b0RuXzJ598shsyZIhr3ry56927tzvllFNW9ZhuaLjllltc3759w+Kpo0aNch988IH6+UcffdQNHTo0/PywYcPcs88+6xoTshmvO++802211Vauffv24Yue5pnGtyEi2znm8dBDD4Xdl/bee2/XmJDteC1YsMCdeOKJrnv37mFm7+DBg21dZhgzyrJ5GU/XltNOOy1sTWcwpAZZz4aGgV122SUYPnx48N577wVvvvlmMHDgwOCQQw4RP//FF18E++67b/DUU08FEydODF555ZVg0KBBwX777Rc0NDz00ENBSUlJcPfddwdfffVVcOyxxwbt2rULZs6cmfj5t99+OygqKgquvfbaYPz48cEFF1wQFBcXh2PWGJDteI0ZMya45ZZbgk8++ST4+uuvg6OOOipo27Zt8OOPPwaNBdmOmceUKVOCnj17BltttVXwq1/9KmgsyHa8li9fHmy88cbBbrvtFrz11lvhuL322mvBp59+GjQWZDtmDzzwQNC0adPwnfF64YUXgu7duwennXZajV+7of7CiGIDAWQG3v/hhx+u+ttzzz0XFBQUBD/99FPq73nkkUdCQbRy5cqgIWGTTTYJTjzxxFX/rqioCHr06BFcffXViZ8/8MADg9133321v40aNSr47W9/GzQGZDtecZSXlwetW7cO7rvvvqCxIJcxY5w233zz4K677gqOPPLIRkUUsx2v2267Lejfv3+wYsWKoLEi2zHjs9tvv/1qfzv99NODLbbYotqv1dBwYK7nBoJ33303dDfTBcYD919hYaF7//33U38Pbmdc102aNJxa7DR0HzduXDgeHowL/2bcksDfo58Ho0ePFj/fkJDLeMWxZMkSt3LlStehQwfXGJDrmF122WWuS5cuYZhIY0Iu4/XUU0+F7U9xPdO0YL311nNXXXWVq6iocI0BuYzZ5ptvHp7j3dOTJ08OXfW77bZbjV23of6j4bCBRg46v7DhRAHZY6PmWBrMmTPHXX755e64445zDQncF5tJvCMO//7mm28Sz2HMkj6fdiwb23jFcc4557gePXqsQbYbKnIZs7feesv9/e9/d59++qlrbMhlvCA5r776ahiHDdmZOHGi+93vfhcqJHQjaejIZczGjBkTnrflllviPXTl5eXu+OOPd3/4wx9q6KoNDQFmUazjOPfcc8Mgd+2VdvPWsGjRIrf77ru7ddZZx11yySV5uXZD48Q111wTJmc88cQTYcC9YU2Ulpa6ww8/PEwC6tSpU21fTr1AZWVlqAzfcccdbqONNgpbpJ5//vnu9ttvr+1Lq7N47bXXQqvrrbfe6j7++GP3+OOPu2eeeSY0CBgMaWEWxTqOM844wx111FHqZ/r37++6devmZs2atdrf0R7JbOZYpk1rl112ca1btw439+LiYteQwEZcVFTkZs6cudrf+bc0Nvw9m8839vHyuO6660Ki+PLLL7v111/fNRZkO2aTJk1yU6dOdXvuuedqRMh7AiZMmOAGDBjgGipymWNkOiObOM9j7bXXDq38uGVLSkpcQ0YuY3bhhReGCslvfvOb8N9Ub1i8eHHoNYJk47o2GDLBZkkdR+fOncMSLdoLAUnsDqUjiEfxwE3D5kMJBc2SuPPOO4ffQQxQQ7QAcW9YIF555ZVVf2Nc+DfjlgT+Hv08eOmll8TPN/bxAtdee21oqXj++edXi5VtDMh2zFi3X3zxReh29q+99trLbbfdduH/U8akISOXObbFFluE7mZPqMG3334bEsiGThJzHTNiheNk0BNtXNEGQyrUdjaNIb/lcUaMGBG8//77YfkISt1Ey+NQqmTIkCHhcbBw4cIwk3fYsGFheZzp06evepGN2dDKSlAm4t577w0zxI877riwrMSMGTPC44cffnhw7rnnrlYep0mTJsF1110Xlnu5+OKLG115nGzG65prrgmz5R977LHV5lFpaWnQWJDtmMXR2LKesx2vadOmhZn0J510UjBhwoTg6aefDrp06RJcccUVQWNBtmOG3GLMHnzwwWDy5MnBiy++GAwYMCCs6mAwpIURxQaEuXPnhsSwVatWQZs2bYKjjz56tY2aOlroBmPHjg3/zTv/Tnrx2YaGm266Kejdu3dIaCgzQb1Jj2222SbcqOOlggYPHhx+ft111w2eeeaZoDEhm/Hq06dP4jxio2pMyHaONWaimMt4vfPOO6FyC1miVM6VV17Z4JTafI4ZZc4uueSSkBw2a9Ys6NWrV/C73/0umD9/fi1dvaE+ooD/pLM9GgwGg8FgMBgaEyxG0WAwGAwGg8GQCCOKBoPBYDAYDIZEGFE0GAwGg8FgMCTCiKLBYDAYDAaDIRFGFA0Gg8FgMBgMiTCiaDAYDAaDwWBIhBFFg8FgMBgMBkMijCgaDAaDwWAwGBJhRNFgMBgMBoPBkAgjinUYNM1ZtGiRNW83GAwGg8FQKzCiWIdRWlrq2rZtG74bqhfTp093l1xySfhuMBgMBoPhFxhRNBj+RxQvvfRSI4oGg8FgMERgRNFgMBgMBoPBkAgjigaDwWAwGAyGRBhRNBgMBoPBYDAkwoiiweCca9++vTv00EPDd4PBYDAYDL+gILDaK3UWlMYh63nhwoWuTZs2tX05BoPBYDAYGhnMomgwOOeWLVvmJk6cGL4bDAaDwWD4BUYUDQbn3Pjx492gQYPCd4PBYDAYDL/AiKLBYDAYDAaDIRFGFA0Gg8FgMBgMiTCiaDAYDAaDwWBIhBFFg8FgMBgMBkMimiT/2WBoXNhwww2dVYoyGAwGg2F1mEXRYDAYDAaDwZAII4oGg3NuwoQJbrPNNgvfDQaDwWAw/AIjigaDc27x4sXuvffeC98NBoPBYDD8AiOKBoPBYDAYDIZEGFE0GAwGg8FgMCTCiKLBYKhXqKioCFstrlixorYvxWAwGBo8jCgaDM65vn37un/84x/hu6FuY+LEie6dd95xP/zwQ21fisFgMDR4GFE0GJxzHTp0cIcddlj4bqi7INnoww8/dD/++KP76aefavtyDAaDocHDiKLB4JybPXu2u+WWW8J3Q93FZ5995n7++WfXs2dPN2XKFHM/GwwGQzXDiKLB4FzoxjzppJPMnVmHMX369JAoduvWLbT8zp8/382aNau2L8tgyArLli1zM2fOrO3LMBhSw4iiwWCo8ygvL3cfffSRW7p0qWvfvr0rKSkJ/wZ5NBjqE6ZOnerefvvtMCnLYKgPMKJoMBjqPL799tvw1bt371V/a926tZs8ebKrrKys1WszGLJBWVlZaAlfsGBBbV+KwZAKRhQNBkOdRmlpaWhNbNWqlWvatOmqv7dr187NmTMnfBnqJiDxJB0FQVDbl1JnMG/ePLdw4cLw3WCoD6hXRPGNN95we+65p+vRo4crKChwTz755GrHEUYXXXSR6969u2vevLnbcccd3XfffbfaZ1ichx56qGvTpk240RxzzDGhhhfF559/7rbaaivXrFkz16tXL3fttdeucS2PPvqoGzp0aPiZYcOGuWeffTbrazHUHWCd2nnnncN3Q93CJ5984mbMmBHGJkbRokWL0BVt8V51F9OmTQvltiWJ/f++MHfu3DB73xQcQ31BvSKKLK7hw4eH2alJgNDdeOON7vbbb3fvv/++a9mypRs9enQYPOwBSbyGqNcAAGuaSURBVPzqq6/cSy+95J5++ulQiB133HGrji9atCgkDH369HHjxo1zf/rTn9wll1zi7rjjjlWfoYbbIYccEpJMNrG99947fH355ZdZXYuh7mDQoEHuhRdeCN8NdQeUwfniiy9C5bCwcE1xhRKG+9lQveSGeNBcrIk8u++//96sZ/8D8p99jP2AuZ1vSyvE/OOPP87rdxoMBUE99QlgUXziiSdCgga4DTaTM844w5155pnh3zDvd+3a1d17773u4IMPdl9//bVbZ511wjpsG2+8cfiZ559/3u22227houX82267zZ1//vmhBYOAeXDuueeG1stvvvkm/PdBBx0ULnaIpsemm27qNthgg5AYprmWNIC0tm3bNjwXC6ih+kBguRfgRUVFtX05BufcypUr3TPPPBMSjf79+4trBI8Aa4q1Ysg/Jk2aFMpOFGgvE9MmbfznP/8Jrb6bbbaZ22abbbL+7Zdffjl89tLzry4gwwl5yLfcxYr48MMPhwoO8xuDQz5/AyMGz4v1UFxcnLfvNTRu1CuLogZqqkHucPF6sHGMGjXKvfvuu+G/ecfd7Eki4PNYKrD6+c9svfXWqwlELIETJkwIy3H4z0R/x3/G/06aa0nC8uXLw40v+jKsjiVLllRL8gJlV3hGvBvqBlhzdGFZa621xM8QtwhRZL0ZqgeUjMIL4xXlbKyJEK6OHTuG35Ftli9EDWsxnh1IVU2CeYeSkm9LKHMVqyLlnVBM8/39xIOyT+HeNhjyhQZDFP1GgdUuCv7tj/HepUuX1Y43adIkXLTRzyR9R/Q3pM9Ej2e6liRcffXVIVnxL+Ij6yIQ2rVBYtlosDCYq7HhAys6CSxYWzQrFkoeFmBcbob8A+UVyyCAsPFc0oDnwTrFs8Iz5DyvaKcFcY0QK0gmVrKaAuTWZ9njxs2n0w1yCJizfG8+iSLfzTgjmy3+0ZBPNBii2BBw3nnnhQvdv+pq8WcsPa+88kqNlyVB+BEiYPFODR+ffvppSBTiylYS8BKwVnBxGvILX8Zl4MCB4frjuWRjTcTFygsrWrbrlt/mO0gY5HchrTUBrhOiC8nFkoqHKF+AxBE2Bbgv5Fm+wHOCWJPkRfcigyFfaDBE0WdExjMg+bc/xnu8kwNB2giG6GeSviP6G9JnosczXUsSKP2B9h191TUguNHuKXRc04QNaywulcbmZkRpqKlNsi6ANUpMHGslKYElDh/HWxeyn3GX5pL4UVfBWuN+sOpCnEjYy9RjO2pNBBAjXtl00YFsEptKaAHzAEKFO7gmwO9CuPz8w7KdryREZKYv8USFBZShfCk4EEW8LnjIeEaNSWYYqhcNhij269cvXNhYuqLaG7GHBFID3llMuFA8Xn311VAoET/oP0MmdDQmhgzpIUOGhB0h/Geiv+M/438nzbXUV+A+giSyMddkyQsIKpsPGw5ksbH0+GW+EivVmDIZISO40bAUpgHhI8yPTASmusGGT+Z8TRGa6gZyEWsaZA2guCIXkZ8SGY5bEz34DghkWi8E8x5SxW+SlMH5WBWru2oE94XHxCvpxMdy3VgWqwrunXvCkgi4JxSLfCncWHwhtly7uZ8NjZYoouUhLLz7AyHG/7OQIRCnnnqqu+KKK9xTTz0VCqsjjjgi1Gp9ZvTaa6/tdtllF3fssce6Dz74IGyjRH9fMsS89jtmzJhQe6b0DcKBDLW//vWv7vTTT191Hb///e/DbOk///nPYYA35XPQOvkukOZa6isgiTwHNoF8uk3SbBxYjBhDElrSxkqlBbUwsXjwXlcAGX7rrbfCeT5+/PhGkdyEBYs1pVnek4B1hnGq6aSHKCAY1EqtqyEj2QICA9mIEnaIE0RYqgkbtyZGnw9rNm03En6XdU4VAsB8QPYQN1idwGWLnOnUqdMqJYRkHMhxVRVj7gdlwhNFCLD3aFUVEHOunfHy32tE0dAoiSJkbMSIEeELQN74fwpbg7PPPtudfPLJYV3EkSNHhoQGQucXJnjggQfCQtk77LBDWBZnyy23XK1GIm6sF198Mdx0Ntpoo7DEDd8frbW4+eabu3/961/hedR1fOyxx8LyOeutt96qz6S5lvoG73bmHnxcWE3VhUR4M4YIbYRtvttfIVw7d+5cZ0pKMNZsTrhgsWazmTT0gu3cM8Xueb7Zhl1g7WeMaquwM3OTjHmSFBpKvCRrLkrWAG5TYuCYm/FGBZI1EfAdfFfabFwUBu+yBowrcwLDAN9TXfAtIaMJVJBGLH/cc1XisrGSIy+jewC/k49QGq4PRdJbf3lODUVhMdQ+6hVR3HbbbUMhFH9RmxAgVC677LJw4bEgyZAdPHjwat9B/AYkj4WFhnv33XevWlwe66+/vnvzzTfD78Bqds4556xxLQcccEBoQSAOBFcZpDOKNNdS3wA5Q6tnU/bujWzijqoCLBWQOFwrjG2+iSIEeK+99qrR7EoNWG2o94klBaEPMWeeVecmWdvAIgIZjluj0oAxwgLL/KwNYPGFWJH0gVypqXVR3WsuKeOcblOMM6Q+jTUReMKXxspFnB3fFVcWqFjBGGdTpicbsCew7lBG48CSyu9WRT5ArJmj0TFl7yFkoqqWcOQhRBQSDxg7T/QNhkZFFA21CzYHhCluJO/eqIkEAgQg2rF3gaGR5/t32dz/+9//5t2lnQvYTAmLYIz9PWPtxFrWUEsDofBhjULxiituaYHVyluEahJs0pAmLE88M4hOfU+4Ys1BYJLiRFHWyEbnnv19atbEeJxipnIzWB2TmgxgVeR6sNwih/INZAzPMumeIWA8W5S3XMkXY+oJsweyFAKZbemgOLhunoFvFsD3MkbmfjbkA0YUDanBJow27IUdgp8aa9nWGcs21g5SyMbhO29ACBCAtRmPVl3A+kxcIptlz549V/2dDYD7ZjNuiIk8WO6JP8vFmuiBpRsyXdVNN1sQy8xv+rg2NunqIKwQipoiwaw51qkUAsBYQ5hIsuKaNGuiB+MCocmkjLG2cd0nEU6sijxjQjI0cG0kD0YTFzVwD3iI+E0p0571yDyNW1LTgvuOfzdKby6lg+LAgh21VBJbicJiRNGQDxhRNKQCAh4LQ9QtA3FDEGWzMbMBkRmajUXQJ814bRntHu083+7n2gabFZsbhInM+bj1ASsOVl1fALkh3TdWIt6j8XASaJN55ZVXrpF56+PgatKax/wnJAAC458XFik2/nx2x+D7aIdHb/maCgNAAdTaWeKOhVwxXzNZE/3zgexmIkXIGSlWGKIFIef3kggn5Ihror3r66+/7t57771UdRAhWvyuJ/tJYCxYg8RJ5jLHmA9JMercU1VCFbhn5EJ87fAsKPVjMFQVRhQNWbud4xtzNkIOoY0gz2QR8MBqCDGK9vH1Wnh1uIlr2m0ZBTFQEAE24KSNkr9hNYCYZNsOrS4DaxSxYcS+pRmjZ599NiTUxAXGwfjks0ByJvAsWBfEPnugyGARy1ecIs+aKg2MEy1AqzuOFgLOmsuUUAQRYbxJMsxkTQTemqZZubCWQ9i034bMQbrizx/lk4RB5gfWUGLCIa+EcWTyYkCokCk+xk8CzxmZxz1nswYZUxTbJKKITOWec5U9vt95nCgyhox1dbjpDY0LRhQNqcDmG3U7A/4fLTtt/To2T0giwpj3NBYXhD8WiGjcEL/LBpBPosg1URoJQlwbZBELxTvvvBNeR5SMx0FyC4ShobSsY7PFlcczzbRJA6oLeGBVSnKJeqWmJp6ZLwweB2slX1mnrBVI0YABA8L1Rp3XbLK7IV+ck7aPOd/NmvN1YzXgjvVdQDRrogfPGFImhatAbJLiE6NgrmDBhaRznXgXsBxiRWSsULR4MVa0QWU+QLAlYkdcLApI2rqdfCdW1GzqZSZlPHsQwpPGJS+BcyGv8fH3dRrN/WyoKowoGlJprLh/o1YTDyx9bIhpugBAbhBa/fv3D78zTfYimzECPp59iVDMl4vRx1iR7U7WLQHr+ezvqoHfYUzIskeoZ7Kq+a4OEIeausbqBKQhjTUK8LwhBB5JsWI+G7+63c++lA8bdNTa7QHpYM343r65grAOrIlYi5jzEDP+hls1zXdDTl577bVQCeF70ipnkEs/1zRAxgYNGhSGSqQBzwdyJxF5SCpeBK2/N0AW+X7gKA+sH0go1xIlY1gx+/TpE5LKJMUC8JwYl6Rs5yTw/XxvNsqaRhS9BTrX2FofghOPf/T9pLNRKqybiyEJRhQNGYHFgM03ydLFJomgyiSMEFho+7hPEWBk8UJ2tDhDCBxutqQsWISr31SqCogKQe9YHvherA+4gKuLiHHNjCmJAP/+97/do48+Grr6+vbtm+p8yCTXXN/7ueKOI96LDS5NfVGy0pkTbPwAq068XiHfxau6u7Tw/VryTT7KR3GvkDsUCa9AYE2DlPH8calq7QIhsWPHjg3HmHMgVplqATLn8R6kse5GEyfi8bQSILyQJilOEaUzzVzg94gX5H4YZwiiZAGFYHOMcIWkNYNlkDnDfaQFzxd5kbZdI65hFN6k3+C3vcKYC7gnidQz3poFNwqIL6S7vssVQ/5hRNGQEWwcvoZhHL4cSKYNESsFmwDC3VsE0KAhjxLQ8uOdITx8QktV3c9splgQIax04EHr5/fIPM5H2y6AkGajYHPnex966KGwSDvtIyG7/B5FtdNuVNw7ZDNNnCcWgrpaS415BUFOY01k/KhFCo4++ujQ9ci8S4pTZDz57uoqBu+Tb3gGUikfb82pimUTIsr94eqMEjHmCWQZi6bU2pHxooUoVjQs+MwZ3LHMGS0ZyteATLKS5gN+XJJIkU9ESltsnee87rrrrnIza0AxRamAXEeVCwgr48HxbODdummtgJmsvzyfXDpdMQeRIVISmLfgZpKTEF7mEl4ewhQaQxcoQ3oYUTTk7HaOCjk2Zk1r5TgC2lsq2PgISoeMSW4oNo3oOXErQT4SWthsIbAQDw9cUAhe3HvZFvdFcPvNh+/G7ffII4+4Bx98MNTWsRBB3iBHkEM2OTadtBYZDwg3bnLJkguJ4jhxWwT417WSOowTZAsXYxoXJ73UmQu9e/cOuzERJgCS3IkQCDbw6nI/++SbTASXTZp5n0viEfMaCxhzP2n+8zfmLJ+Jd+zhXLpLMXeJa/Tjy5xG2cNdK5Fo3wFJi5OtKli7SfGbPvEim9/OZt1ArnkerEEvq7gOyVuiwcuftGVtmI+aIogMQDHONlSBZ805ElH0meaZrJXMZxRZ2twyJii0DbH8mCE3pLe1GxolcK8gSKNEKg5fJgehlWT9w1LAphUnmxAyrCa8aJcYB0JdCpD3G0RViCL3houZZIS4wOd+OQ7Rw2rKhpsEb03FFYnLhu/hftlEfHkR7gGBjdUik+UjW9cXFtm4NcS7tSEQXLsP1vfkqi6AkAIIl3cjZ7J24HYGv/rVr8Jnz71gYUyKU/QbMgpOWnd+WvC8ceWmSb5hXTA3WBvekp6NyxklAJeqBNypkATi85gP/AbzD0si7kbmbDx73vdqRkFLWnOMGXM0W8VFgre4Rd3CkDLGJE5wGCvJPZsP8L3cv1/zjA/rguvJ5X45h2eEwpdNaRzkA+Q9KgsginwXn0tTIio6vtH+0XH4TlaMLV2DkoCsYkyQU7wIU2B+MH9pV5uvuZArmBMo3oRfZBMSYcgfzKJoUMGGg0CTitB6IYfWKrmfIQQIwDhR5Dt9a7q4Jg0BhAhpmYgI21xbtkE+sKwgZKXYJgQTZA8XcbQema9bxvlYC4kxxProXUcQYDYhynPwjuUJoZsvkugBQcSV6OM8GTOuA8sl5JtNESIGieBa60rdyejGlClpAeAuhFgwhttss034t2HDhoXvWEHiPYcBn+VYviyp/AaKC0khaZNvvNUp2zhFCD5rApeztu4AyS08V547c5Qapaw3SEFSiSXIEvMTRSKe2MK1cm7a7N80Y3bKKae40047bbUkCd+NJPr7rDOuPxuSlAv4bZ4LcwoyxDrWaidqQO5hfctUJYE5iKUUMoeMOOyww9zf/va3NZ4LY5BtQgufj/bElq6TsZWuExnCdfk4WOQq85uQnLRlzKoLWDV5ViiKTz/9dIOp9lDfYETRIALhxsLU3M4AIcWGlhQEjXBCa49r0B6+NV28NhxuQzYTrZ2bT2hJG1AehS8UjCsTQFiI5YoTF8gWmxxWGs6JkkOsjVhbEbCQQjZ2NmGuK9MGnw9AcCEJvv4iiTFYoiCG0exPLE1sytWZoJMNGMfoxqSB66XQNNh9991XPR/GGZLE/IJUJY0N1rVcWz2yuTOfcY8/9dRTYegAbnzGl/WQxl0O+Fw2RY+ZT7iTeXZprCesPeYtv8Echfj4MjoSIEZJiS0Q2kylabIB4QJ8H88h6h7n2lC2okTRl3HJ129rYN5BsCBB3H/aZ5lEOrm/TPF8yDGf8Yw1GnlFHGA8JIG5nW0SFnM0U1kixhQ5kURCuX7kAuslOmc4B9KOCzrtNeW7rBhyFwWINcecZU+ALLI+LDu7ZmFE0SCCTQcBkyawnc+wWcXjWtioIQWS6xrhhMDFhRiNm0JTz2TJ9AW/s3U/+7IakFC/SUDybrjhhvA9Dsgkwv65555bjRzickLzTpOlWR2AJEBa2PAhCQhqrin+vPgcpApCla/afrkCQsDGhNUqjYWVZA5cpWyiu+6662rHtDhF34s8243Xb07/+te/QmUAssOYsRlDyFAI0pZRAdwn6yjJ6im5nCFs2bQyZBxxF7L2MpFEPx+SElt8KSqpK0o24HueeeaZVf+OJx3F4xRR+PAq5NrnOxtw/4QkIK+yTWJJSqjLFKfoS+Mga/x8RG7Fk4qQg8jLtCTIx0hmssJynfxeUpwiawfCniSfcc/jccmU3MIxFCqS9LwyheLPteVKHrlePDnICmQyMo05zvzgephb9b2fen2CxSg2UkAuEEhDhw4VLYYIUlwiaaxjLGSEIAI/usnhpsvU8QCLF4KFF1mMCKc0LrBoQkvazRsLFW43NmM2/Ww2ljT13WoaaNpYChhzLbaLTYhnA0GG5OaDDOQC3H1cR9qx99bE7bbbbg0CjPsZ8i713uXzkMyNN944ddwbmzcuN9YEZKqqz5txZ65BADKRIO9y5neztUh7d2FaRBNbOI/7lEpRQSSwMGUzZzzh9Yi7MP24QAiQDfw/a7MmLPGA+11nnXWq9B3+WhkflAgJKAk+Xjma2cxaiMY+M/ZYCFnPSUXc40CJ57v9c2csH3jgAbf99tuv9r3e4wOxisZTMichishfyXVN6AprCHK28847r1oP3A/PjDmLRwNSyHpDFvvERp4r8wYlFUKOjIaQZnrGKJOUdcLzADmMWnyxfHpXOnJkk002CeVAdcW1Gn6BWRTrAbIpmJoGCAwEOUHwlGkhBiSuFaMFsxgzuZ09ECC466KbA4KLxZ7pOxCgCBU2fL4DAYbAiRMD6hti9fMaN8INjTWb2DsIKMIR4RUVWGyS++67r9gejd+qayQRcA8I4DSCEs0c4p5tJne+wIbKM2bTSEMI2DRxM4G99tprjeM+TpF5mmRV9u7ntDGCzCUsX2xMXGM+nrdPDMkUS4uSxXrEOl3dcXoeEFLGDsLCs4l3QAKs32OOOcZdffXVWYUt4CIEZKh7ohh1tfq4Zm91gqDHSSqkiuztutyuMk1Zm2j8ddTCHS+/xbzzVRPSALnH5z2RIj6VWL6///3va3wWYo7s82PJmOMGR0ZrHXiYvyjJPD/2DN9Sld8i1IUC+Mge711hThH24uta8v38DpUXsNBzDjJAisXk73w38y6asR8FCouPwcWTwnenHTNDbjCiWA+A+T1fwpLv8UkclEJgIULAIIzEo/gFxyaNIIrHDCHc//znP4dCI8nCF3WnsAmx8NOQTbRafhMigzBlU4qSH/5NADjuCIitB9efNg4Ngsl1s3EnlcPIJdaxPgHBCvnGYlYdfbIzgQ0CN1Va5YPYQJ47FsGkkADuxWc1J7mfmRs+1jAN+Fy01me+4MvkSPMLkoYFBUKBAlNTiCa2sDEnlaLiuiAVyAzmTRpwrzwPlIHf/e53oVyAMEQTEXz9Ve4dGZEU4nL99de7m2++OezdXFeRpqwNx1E68H5E3b8QxTj5hpilVWyQ1VFLoI8DRRGMu699AXgfF8qz4HNp5pu3VjMHHn/88TBZzrc8hCAyh+KKH9eFwuOzy/EgsK4wekAEifPmnWv2IUfcN6SPPURKxooCZc6T2OieYMg/jCjWA7CYsukrqoHv4ft8EV82bRYxlgwII1ofhBHLGhtJPN6JxU0M1z333LPGdyM4IG0IpExJLHEgFLgGNhg2mjiRg0B6Ehu1+iGMEDBpSB7WIoRQTW7GVQVjCEFOE+OWBrWV2AIJY/xxe6cpt4H7CWuBL4kjwVsVJfcz84j5nkbR4nPMozQ9i7OBr+uY5BnguRL3yrrJdymfNPCJLRCHuPWG+eEtuoA1n2ad+VJGlFZhvhHekhSnCHnCGudL5URJKuPliQ9WqJqsAwrJQhn295Gm8LZk0WIMfWkcb03kHO7d16iNfx/KSpr5yvdFx8yPF88o7jXwYTqMtS+u7clcGkA0mcfcC1ZDyF8utSfZdyCX/C4EjzEmthFrOiQRyzskMa0rmTmLglFdxfUNv8CIYj0AiwFtvqp9YzkfrRChFU3AQGDgJmABs5ghjGi7SZYfr7khpOLCMVomB/c2QjCbYHG0T4Qk3xt3h0StGXGiiLUiU+Yh9w6ZQNjVVnxetmAcLr/88jBwG00+H+BZYx0gFi6XThBV6WTCBpw2qxWFhM8To6TVf9QSWgDziM0tU/gGFi022lxLpWjwls24pYj7I/YLJYgYt5qKz0tKbEGBjK93/uZJDs+NNc9mroF1iCIJ9txzz/Adz0USUfTJG74EV1SBwF0ZXQe4oGsKKCjcw1133bVGMfM4IDTMb4koQmCQT740jk+O87GCcfczYwLxzBRO47tSeaLHuEc9K0nrgTGGiHFPuSjMWA4herlmiXvwnCF3kE3mPeOHfOe+0yRjGWoeWUmmuhwr0pCBFQaLTFR45gKEB98jlSWJEkY2jzhZQxBFLZvxsiS+uKt3IbM5ZlMg1Xfp4Ly4MIoSRb7bz0UEMII4k2DFtcZGrRUOr0vAEnHjjTeu6lpD9m2+OiWw6WNVYExrovsCRIBSRGk3Jq7Jx7j5AtsSSH7yvZ3jdQEBig8u1UwZkswpqWB8WmCJv+666xJbJnIdWMo9mL/UZIQoQIZrMxgfsgHhjpN4b03ccMMN3ZgxY8L/p0yQZt2GSPL8sAp5S6JPGom7Wvk95ndS2z4s3sCvV0JjasKqyPWhpPj/v+222zLue8gtKbzBl8bh+XuLIuuAeZtEFP18zRRO4xNZPFGME9okosgYo4hjTUxbw7S6ASnEmEBMIwS6NpQlQ2Zk9VSY4Oeee24o9A01BxYP1jYsYrkWmEbwYNVB8KYpn5FE8NjYokiqX4cw8sQgbSxaFGis8YzYqBsKayCC1wtmL1i0mDu0bwQnJEASRBBj4qF4rwsgLguB7uMKuT8Cx/OFmkpsgZCy6afpZOKBGwoLDfNnq622Uj+LFdtnnEruZz7D/JFKdWDZw9rFOOfahQKLzk033RRaCL1FTQrLgIBg2afyQD4sNPlAkkzwRHHUqFFu9OjR4bVC7AhPkZ41WejemujHEsWT748nFjG3IZXx2o0+0QKccMIJoZWXc1GWqhvILd/bnvmKYpzpd7ECQnaTiCyyh/kVrZGIjIkSxSh59uuEta7F1kIUo6WMvALvLZXR2L94nKJmLDAYqkwUTzzxxFCzw5WAAL/33nsTtWdD/oF1j4XPBpNt0gWCl00JoZULeYsTRZ/JmEQUfTxWkvs4DZK6DHDPACuFL/sQtWwiLLUA8DTWRDZrNNq6sGmj9fsY0KOOOmpV/cBMbr9swMYFMWJeZHLbVwU8JzbetNZE5Mk///nP8P/32GOPVGEC3v0sEUXmIc8/yeIIUGw4XpWaetSPwxIEUMji8GEZkEVIKUSA+VhTGc7ZAjLBuKBYjRw5MiR6Rx99dHiMuLIkCy0hK4wxMmDLLbdc9XfWlF+3cfczx7xr1gO3KESIYzzb/fffP/w7e091W8D9GuP6vRX1H//4h7pGtDhFb31FpnnXM0QRaytjSsxgXHaxVvg9EvekOct5UaXXK9JcN8SaPSJekojxhFzms5WooXEgK6J44YUXhoKfGA60+JNOOinUTI499tjVgp4N/49bbrklDFJHEKKZJ2ULpwUaPQIhW4suz8y3dMsVxHhBuBB4lMvwgi9e5gBh5Osm5ksYebczG5bvV4o1LCqofZ/YJEHtYxM1twbnYxHKtt1avsFGSCA91gkIOd1IqF/GtWMVzWdcIUTF10LLdU6wGWEp8QlMVWnV512bbIJY0H2MWzZEMSlBBzImuZ990hWu31zdv6wB7yoHPKf4WPiwDNYQVkeuKRdFqqbg5TnJQr5sDb2hhw8fHpKQ+++/f41zfPLHLrvssgbB9+7nOFFEpsX7qHu3M7/N9+y0005hfBykqTqtisgKrNn+Hlh7yG5IYNL9evhwmSSiyLm+jFfU9cw5vo933P3M5wlHQKmALMZJKnMcIh9VMrzizHf6BK8k9zPyM5uC8QYDyCkgYNttt3X33XdfKHjZ1NgsNttss9Cc/pe//MVG9n94+OGH3emnn+4uvvji0I2IkMWFkysZQbggHHzgbxqgrWORY6OuSjYn1gKANRnLm8/QTLIq+hjHfBEn74aCKCZZFCGlCPkk9zMEGUKTKTaR8WQTSjuu1QU6gkCCcWfRJxeCgYWAe8+3VZHvhqywfrNticXGh1WMEja4IiF4XDtJB8x1ng8bFZtjWjcXlkdPNn7729+mtu5CQlBKeM5SbBdzn2uKE0lCObCcVaUkDolGjB+bML/DHIrGI3qgrDAfGbtsfw8rK4p6Tc3PqNs5SmB+/etfh+/EY0YtVr7wMmQ73kFHI4o8t/hzZv742EgAWczFqphtVj/Z5xA+ikx7i9/xxx8fHkM2QPIlcN9Jch2lh/vjne/mc/7ZR2M3k9Ymsg7rKqEM3loNmAOQR08UfQ1MzsGAkynBy2DIFlWKoEbT/M1vfhO+yMw84ogj3FlnnRWSI4MLSTPWVu+yuf3228Nxuvvuu8NYzzjYbKIbtic+Ufc+cSZseAjqLbbYIuM1QBLJEkboVCVMwGvaEBa+B0HKZgiJw9JQXcCNh2UKQoOVyVsNIVOQQ4QjGwJWHaxtUasQx33f3EzlE7wg5r22winYRH12M/PG158DdFvgXrDm77fffnlzkUOyIUr8dtyyowGCBTGAgPsacTwDLB1YnPwmzXxlg8yUiAB5IkaUd8gJCkk2zwGS5ntxM1ZxMAfYdONF5LFCsvFyH7k8dzZoX+cPMkMiBBYxXPpxgszzhOTg8s/mtxhn6s4ByPjhhx/uqhPIHU8CIR3Ra4XkYCigvuKdd94ZZuVDHHG9g0033XSVOzkKr1gSVpGUvOLBPPJkEhnjvwdZxxhAuJChWNk18Ezo6nPIIYeE15sJzFf/HOkC5OUB17311luHVuBbb73VXXnllYmeCUglZBljgPekMJd9nKGv1MD4eRnvvSMQOmk+IPOQscg9wr0gzb4yBMok53llHeWc3/TrmOvhc7XVYrSmwLNizvEMc40xNmRAUAUsXrw4uOeee4Ktt946KCwsDAYNGhRcffXVVfnKBoPly5cHRUVFwRNPPLHa34844ohgr732Sjzn4osvZne1l73sZS972cteWbwWLlxYQ7t740OTXJMasIrhcsJ6gCaNZonmZfgFaL5ogXEXE/+WMk3PO++81ayxaPa4eRnreMYo1jw0SLpWoOGixfIe/X/cxfyW11xzBVYSkiuIf+E5e2sdVi+0OCylVSkrIoHv/v3vfx+6dM4888zwXgEuOLTlk08+eZVVFUsR2dLemsT1YVFgfqYpiYOF8g9/+IO76qqr1L6t1QWsaViJmR/XXHNNYpgA94OLl+d5xRVX5O23sUrgvqIUTRqXKIkGdGdAi8/Hc2eeM+9JtsIrsdtuu2U8B9cbFhVvQcB9x9zkeihpkmRZYI5gISL+zFsTsYwxr3OxRDBmzE/m2Pnnnx/GhvEb55xzTjg2tFKratmbl19+Oaznx/rHQollCguZd4lWB/70pz+FFtEDDjggtF4ngSLYyH/CIiisTQhCVD4k4Y477ghj7khSOuywwxI/Q4Ik4RU77LBDKF+iwCrNeGO5Jk6a2MUoeA5Y/XzSnY9rJNb37LPPVp8xseR4TaSx5Zq4Nty9dIyJW0SRVTwb5q636BEGgYeAmEQSYgjLYI1h5fTAs4Sl+9RTTw2tsRJ8IhSfwQKOXPdWWmQWczk6JshkXOnE+R566KGuIQMLNes+2wLghvTISopde+21IWHAxYMLEoHCpLcHlB+wuSS5FNkk4kQRoYxgQoD5TGFPEH0TeDZTSEU2tQyT4LOOcX347+KdWB6EHCQrmuWowbtd0rhO6RYBScTdwnzz5Il7hyjigvHXw6aAAEWQezcQ/yZeMk1tLjZhNkXeqzpe2YIYJEgi13nGGWeIwebEfrE5E3qA6zcbV7EG7pcNlbH2AfYaGFueIxtVPlw9EAhIIgH8++yzT8YkKOa1nxd+rHD58W9ILEQiKUaWQuMcY1NnLkHqqpJ5DHGAnKy33npuk002CceC+ebLkBAK4ePQcgHzlzhnwGbPs4Hw4AZFOUeJTAPc3biSiSHPNLa48Xz2eHS9x3HggQeGpA+FGJII9t57b3Xt4MbmHOaP9DkfV8d6j3+Gf3PfuLz5TUiZT5pB2WE/IlSFeyS+F9kHsSQUgJckoxhnX3qKBJaka4PgsU5R0HkmfG8cPsTFk0jmKNdCqIFPpGLNRL8f5QIZypgkhUxE75175dkw53nxN+ayj4dlrvnvhhxDFCGUNS3PahqsZe7R3M51JJmFhYg2zmQlXuq4445bjSQSTI7Fw/BLayyERDy4nn8Td1JVEBdGDA+Ch8xBtFY2PeKvEEzEj0Lkqiok2Fh9sDWWgyh8dl1SQou0CdH7lTJLaVrS+WxnfidqYfMEKdqhxSe0sEHzzobDWKQt4IrgPfLII2s0I5B4Iggi2r/ffH2R4iSgNZM0BnxR4HyB+0YBzNT9h42Q+cC15EMw85wgD3wXcyNNpjxyhnkfnUOsB98BRGvnBynwCSysxVxL4nAu1j5AGRU/Fsw3n0yQVCYnGxCPyPVCCFESmBtYlJg3WKjSgM9iob7gggtCYpsJECqIJTIK+SEBRS8aK8n88XNTgifNrNuk5CnGlOSn6BjGQWwi65o54Fs8IqPwxjDekLWLLroojDNELnqLKORSmtvMP+4ZRSVew9WDeUlNR8DvxkvPAGQuyoGPz+X3/LyIZjxHIRXeTgJx2pBQFGi/70JAmSNYrqMtIFFe/FhbCTtDjRJFAnMxu2NOv+yyy9Z44R6EPBp+2bhI8vDCzAtt/p1JoKaFtyKiafJ7CEkIEwILQZKPIGYUAq4ba0bcheuFUdrsOlw7CHg0bW8pSVsWJwrvSkcI+jIk3DdEFDemr5uYDQlAmBI0Hs0urC4QksBYYPXASs+GgiUKopgJPqMUa0E+NwA2X6yKWDc0cJxnWJWagx5szp4kUw3AFwvOdA4bMZtmnGxkqqcIAWGtQBJ9hm6u7RxJrMCaiCXTr4P4dVSFKDLOvng1LljvwsY1z32wLpPIShysM7+OsMLFs461bOdMigBuWq+0Yd3L5GYnrIF5xrgllfjyZXEga74kTxJB3XfffcP/x7rOsySBEqsaCjJuWF/nFeA+h5xBJpNK3DCXfCUBjCDaPUPUd9xxx/D/mbfxclxcM8kjPjMd6zby2Yd2gLil2ys33EeajHbWHeTSGwB89QdIbnQu8znIPvIxDQk1GPJGFP1EJMMt+qJkAQSSEg7EeRl+AXFXaLKUEkKoo5FCCnwWdH2A7+0ctyZGtWFcwJla6MWtYNSd4zwJPg4H+NhEDywFzEUEsHfp+OxnNPdsrYkQDuIesUT47O7qABsLbkMIItZ5LAO4PbFIXXrppani2Rhz7h/LHmQxX2Cs2HwgElLLMv7OcTbrfNTIJM6ROcAGDwFKA1/qyMcVRq81Wj9O6sICweQ3q1ISB4ukVwCT4r88UYQMZcq2TwLzGLnBPbDuIKMeEA1PVpArWgkYCKL38GBt4rPUCpVKIfm2jkCLl4vOGSyVeAgIGcgEnpdUJidKFH1ZHAkoFTxH5sJpp50WKoWEjKB0xeOxUaC9JRBCGI8Ph0QhM1Cqt9lmm4z3gNeBNQsxJb41Cv6OfPf1FCGHrBWf+ew9PVFwHxBZnk0a4g+ia8/XQE0KGbEyOYZaraPoYz78Cw2eRcuCNO3l/3HQQQeFvV8hIBtssEFosUJYVaVmW00CN64XMklEETeId09lcj9j/UOoQYawwLDBE6QvbXTUUmOj5Pvj48V3oEH77/WAPLKJZ2Px8j2VvcAlXi6T1aUqBJH5AFHxBJExOPjgg1OHCLDZ+mQMLE4aUeAYm5VEmuKAgLFpSq3DOAa5zcf8heB7qzK1+SQLUvx+mJNYYbgGvzF7sFmy4aNkQASTwJxlI/dF4XMB182Y4jFIChWAtDD/IF65zCWSMVh3kJwkpZK4cI7x3T5+OA6eoa9pi7UPSxvKE89QCg/i+3DnM0ZaCEQUuJwhbmmTdiSiyBrxluCoRTCTVZExhhz+8Y9/FOt1QpiI/2P+kLQS7WzlrYkkYqaZD5A94hXj/ec9geM3mF9YvpmrhMxEO7IkIRv3cxwaUdQKbxsM2SBvHbgRFGRu+Tpwhl9A9xo2LbR43DrRArZ1HQR4syGSBSwJ4bRxit6aiNudMWG+oGTEha2H/3vcmujhM5PjhbchMtlYE9k0sSL6z5NZiXUvmw2ez2JRJ/wCizqWZJQm2u9BAomT8gQRQoQVyhPEXBIpiL+CKDCvpCLAuC4vueSSkGh4924mQLJ43lKnFqwxHK9qSAObKYScsWb+pKlzB9h4ITEoCYRWECcZjVNkTvlNV3I/s5njksMqmwvY9L0l17d4SyLzubqfkRNUOQCQoSRSDjkjcxjgTo1bgCHBV199dUiiIXxkwzLvvGUNS27SM/ZuZ9+yrzrgiSJzKXrdWF+5Xp5rmioNKEtYPcmOprZhpux7lBG+mzXD/fv55DOkvfKVBij9XubFlTDWBnOEe/H1/aT4xKoSRcbPK8pJY+ZDInzNWYOh1okiYBF6S4+h/kNzO8eFkUYUEZhkDPpgdLJP99prr/DfEKZ4pwUEIOU5kuITPZJa+UEQEcwkEqUB1/TQQw+timXymjnXC1nM5AqC6FAFgEB63FBYdxgHyCubA5YF3ONsJmzUlAThfrE0V6XHL99FRirwcWwexGJhNUFp8648rCZp2/Qxdlx/PJSA7FY2pXxYE7GsM1YQO8hL2qQYLMUoCLjrOAcLTTxBwRM0380nCZxfVWsiWc5ahrh3F0uEVQJlZ7xFXCpNA8j+ZQ4hc/3a8iScUkv8HfJEqR4fMoSSiuWM6//rX/+62rrjPJ/5m8btnCt8gh1rLBoP6+dqtGC1BtY5ShnZx2k6TqFgQJgBax6LNuED3iKZTQkxPitZriGjPD/WC6TfE0fNohhNPMkmRhoZg1LAbyR9NwqFd2unIaFYobn2ugT2AkIsCCtI6nZkqBnkVOQLV11SxhqaMHWbosdxtxnqFhBwZNuyIUj9ZvmM3+S0DjBeyGHJg1wkafa4XRGAEES/kZO4AblCYBNkH90UIWjeuiAlOEQzn31FfjbEtCVDsGj4eUp8FfdImy5ax2Gl4d6xyEEYk9xw/C5WRO7bW/kYCzYtBDcv/t//m42qqjX1osCdyEbHc2QDZONkHIkX9psNBJ+NkP7i1PTDypSJlPH8GBs2cW85AZBHnkk+WjP6LiMk5qT9Pkg51x4lZ5DauOsddzDkHUseczgfpbt8eRnIDHMZRGvhJcHPcxSZtNfh6+55C5hWQgplAbLIJkp2tO/awRzgGiFbkMR4Fj/JhowN85bn4GMsuU5IAr8Zfe5VBUSGuUOCClZwrov1RGgJY+rXsW/bl8/fjoM1SoYza5tamz6+ORtrImAdE/7AfEAxjBpHeC6MLd4DSA6fzWRRRCnwfdfxEKQdA6/8oTxJ5BqLvY/b1rxZ/C4KL0oEoQR4O2q7Fznjd8MNN6xShDBc4H1A4c5HMp0hPXLaudggk8CGyGbrG7cj2I0o1j3QnxvBTPIR7RdZfHECAblgoWIBkARcNE4RzRqtNYlUerczAsj/DlYFAsMRBGxYCHHfWs27ndn0JQEIIUQI+0K02ZQcQiDjroIAYBkikYLf8eVDSGzBjYxwpU93lCwyJpAxrBL8P8QKVzrfU5PAqsEmC2Fl0/M9rQFkCvKImw/LBtY13OO42TK1feT5EIfFs+R8NncIIudHW9/lCr6H7+bZpUmA8ODesGZGiSXX42vXeXc484KNG+sDG0u2JACwWTKfGTdeXG+0BSGkLFMNS64N9zaEgXmkWeU9ILjeHZ/m87ifSQpjPtN+jmviOzzR9C7N+HpFGcJCwzwmFASi4d3OxAfmqz0k4NpYI1Qj8Js78wr5w7hyDxBpH0KSKZGlKmBuY8FmT/IWTBQ5b53PBjwjvoNni3HEA7KOcoZcQomJtvHTlCLGhLFiTLIlipplm+vEo6DFKaJYEs/qYzfxUqDEUxeTNZrGYst9Ig9zrSIQB7KZfQqZhWzG0syc4bpQjvFIYVxIE9tsqCXXM0I4zSvqFjTUDbBRe+0dAQ3pp5tC3OXg3c5p+klrZXIgMmwCEIN4QVkIKpYGBBWWEQ8foC+5nQECydcNi8YpZgKuYO6XjQtCQYHrOBllo4QsImS5NsgiVjZcSFhpHnjggVAospnj5qtpkhhPauFZ8fywsBEfSUa1jwXjbz7wHyKcqecyYEOHfPusdNYybvR8EEVKmgDmQtoQATZc5irEJ2qVhYDgfo2XFfEdoqIu2bS/g2sZBQaXJqQLMsCY8VtkxfJ33PppkE2cIp9hUyRWlnI4adzxzFNv2UTZIqGDDZvr9DGMSWBNQxCZw7igIQieKObT7cz3Q+KxlkVj5PzcxKLImHPvXDfEOu2cyBUovT7MxMugNERIknkQu3icIrIJ5Qoli3XJ/GHeah2icolT9HJPI4r+OvEQSOV38DaQBMjYI/f4Pp4byjBKBUpINAEIcM/IBSzYJEph5cNLRIcirOIoWlqiXSaSyFxmPTBuWDrx7hDnzThxnBANro3fj1+boY7HKBrqPiA5gBIbFMxlIULMsIqheSIAEHI+xiuNZcMntCQJuWgSC5aqKNgUfd1NNEXcHwgsCArHMmU/JhXezrRxIWwQYrhVKO3hNwkEKcknPm4KCxVCE0HrySIEAcsd5ARCBmmMt/KqSUCI2Hy4VgQ1lkU2vngiD0QRkgf5++9//5vxe9no+A7uFaHMc/Udb6oCnhOxp3y3Fn8Xhw9piBeA5joJZ4gH6nuiyHVnE3PF/GN9oEQwpiRSYZmlpAyKDEoFyRNprSZp4xSj9SRxx0cLJ2cC14OlChLglR/WskY0OUabOtzhbPb8Nu88Fyl5LBegXOD65vqi8ZAQEeQOx5mTacvi5AvMPcaJa6ATSy7IFKeIJR8i7+MTmad+/UAciSVOIop+zWUCn/GGGC2+EjkHAYe0JcWR0+aV1oLMCUoNoZwjI+kAhJeGtcf8oF0qMhoLNiEs7B0oTcRcE9vKGkS+YixAIeXzrB3ipTmetuYrcZ20J8WjBdGGeHpFHKMCpBS5zD0x9vw+stlQvchf0JSh2sBmp3VJSAs0dxYyAhJLBJYjLAhshFjM6JNKBjDEDy2NxZgm5s8LOQQmm5UnhAgHb9WRXIAsfjY74u3IhPWbPN+Z5FYg3sYnI2RLFLEQQYq9AIrGuSDk2LiimZi+ywOuZ0+CIa8Iweq2fKQBJJdnxwavuQu5DwQ71iMsT4x3pixRCCjkgU2cMc/H/PPWRFx9UhZ9Eth0Gfe4ogHYzOKWbF+UmGdGvF5aUvrMM8+suj6Ugqq60VAyeDaMH2WKpK4/WEf8vJZ6IEuAfPBs2bwh8/QOTuM65rcIO8GjAFEAjFmS4oPyiDxg3WQD7pmxhChynZAbxpTrg9wgc3hGnihWZ3xiFFwD3WogN7nGuiFDvQud+ReNU4QoEqeISz8pPhEXM7KGsfbkkePMb+QnLuVMrR/5fp4JMjK6lvgbr2hlAuS5D4GINnvg+eARAbiYvcIPaaTdITGNKPpYFrmPeMgZv0GsJpZzzuVaGA+UQX6Ldcv5vBgvH1LBnpO0lrFi4u3hXOYIiny0hqi/NsgsSgWdkYjP5XcM1QsjivUAmPLR9qoCNEpvTYS0eQEJGWSTQVMkZpFFqtVOTAKLHkKJ8ELw+/N8EgtCMN69IgpiBHEzICB9PE+SZQNNHEGKIIS4JCW0SICw+p60kACpVVccnizikmTDg2TVpZ6iad1mxIBChHBXIVxpl6eBzY7NAQsrZCdbkhAHlhWsF4AkjLTAwsDvS1YTCA/HmRNRtzTu12yIIhYeH27BppmPWCs2TuYo8xolLamXL/PdE2iIWy7Z8Gz+bKqQ5mwIONZn4r18TLCU7MA1Mj7E6aYdF6w9/v65J/4fYuYTJCBCEEVIBBs936vJiHzDJ5pVBRAfiBGWOl/FIUqgpBqKyEQUTcbDEyZkCkQdOejjg9PEJ7IuovLIl+aJxqdynbiPowoV5J9kPp4ThDapcDzPhBAG5i17EGuJOGG+D3LIb8cT9LCccg7rlnGBNKKckzjk6y7j+eBZs08wd5kTGBWICyc0inHDSqiNAQSbmHfWedp2lobcYa7negBIjlQEOS0QaAhmNvz4Rs2io4gs1imvVWZDFKU4RW+poCSORq4QFJSMAb7cSVJ8IiQRQeW7XeCiQ1Ah7NDSJWDJ8MKEOBq05WyA4MItjbu+pkkiBBh3lM/QzBWQKRIc/HORClJHgQWMDSkfJXFInOBeICPZWCexpqNosAElAZc6JCReJoc4POYGVlGfma6BBDzIJgpENqVSqhKnyHiwaTI/sZhmOy+jwD2XNuPfw/fXhsgxVlJrUQgNFjNPetKA9cj6hBBh/ffEKKmeIoDY5DOJpiYQLQ0Wj1PknhnfJIsizx2CGI8ZjMY95prIgjLN84x2BPLf6z0+AKUR0sZ+QEiFpgBwL1i68fhg8fM96bUqDjxLkhEJLeI8vFVYvlEcGCvCMXBpI1eJQaTUESSRa4cwZiLKUVKuxeMa8gMjivUALKw0vZHTWBOJyZGSErBIEB9CfAovqSYmm3e80HO88DaWK5/EghUuE8gc9GQAq0hSpnXUrc09RcvhaO5nSAAbF4Q0GsheH8BY4yZO0yIxE9gwIAPMJ0pZZQo2Z3NHsFc1s5A4NF+kOpvx9/GyWGek+Eg2FuZzfNPFIupj3jIltRBu4Dt05BqzliZOMT7eWGggkGzWxAzWhqUaZQCXIhmmSW5YrF8oSsgCrj9NrJnvx01pK39PrOdojUDf49hDikfm96SWkrUN1gZjAwGWeqR7ougtisxpxoQ1FR/LaJJPpntOIoqerDL3o+sBmRntoAVh9BUeUB5zLT6fDbh/1j5zDeIIQUQp8zUeibfkuiGiaXq+G2oWRhTrCdjsstHooyCjEdKG9uUzYCX4+BTNuoEbCpIWzaCNxinS8cBvvFgl0yR88H1YNxCgkMb4pulLTRA7h3D2GrO3/khEEReIr9uHoJKsFpBUSuZIlqvaABYuxtq77/LRXQEB7bvi+KLmEngGVSkM7kE/eJ4dpCmtyx9w70lJLEmbUFKhYt+7l7WjkWLWB+5PNtSqWPWSACFivIkH86QB8CwJxAdYaLJxGecbKIiSUsgzgEASCsKzi95DplJGUQLi4zOjZCZqAU0iipAlCEQai3B1IJMi5eMUpYoPEEHf99krvsgt5BdyJt6rnHnOemMua8WlkWl+TKLWb//drBlkcJIij2cJpQAyzzMleao25hv7EEkzZFyT9EIYBIkq+bTmG/IHI4r1ACxoBKzUo1UD53lrInE0SUHE2QBhBKmLa60IJ78xEPPkCxNnU8cONx3xc0muBDZWhCgaNK4Qr40ntfKLAsKKsMY6RkyLBAQswrSqcUv5BIoBmynB3xAJv+lUBXyPr/uGVbG6S0tANHxdVQhRNuB+ed6ZilVDQtjU4xs77lieJ9Zk7+LUklgIkchXHTgPFBNvPYtmP1PUHQs5ayabepI1DdYdigqkCDLHeHr3pdaPG8UxOpZYfVm/USuaJ1kcS1IG+B5IKjIs6kqtCUDseV6ZMpC1zlSeVOPJ8AoXJBCFHbe8j9v0wGruFW6y7KW1CXlmTPjeaIIU1ndkI6Q/fq4niqxFrJ/sAyTl1Xa8Nc+XsCeqSOQjYc5QPTCiWA/g3XUEnqeJLYuCAH3OQVBRQLWqYPP2nQTi7j4vjBByCHa06KSiv7nAF+zlBenzMWlRi2KcKCCUiY0DdBrQSAAbA9fNe12Ab/2HksDGgjWHv+VamywKCBtWXoiot/xmCywhWCUzWTnpq8tmS0xTNskKPDvISRoLAxsmBCZuVYSk+bqAkvsZywzWIGI4cynOHQfzMr5J+zhFTxQhrX7cKQCdlpxCnGrSDYvlypcg8pYgyB0lrKR56EsZxUv8MN/icXm+RiuJVkmEhe9CsUEZrGqMdrbAwsw9cK8aoiE38WfjPUDRMBrmKOPjSV5chpJUwnonJIEYvqRxjrqdo+OGfEA+Ys1l7vP8PJDD0c9SdLy2O68Y6g+MKNYDoGkhVBEaWNzSAsHlP4/Wlo8q9gg2SAuWkHjxZk8EfDxdtBNLVYEQRFPm+9iwogktaOJsovEyCWRyQzDZbJIyTqPgmilTko9YwHyATQZy5TdcNhs227hLKRegNIwZMyb8f6zUubi0ceeTmUhxaMpnJMWuMVc8IULZyWYu4L7EpZzGJcvGG7dwx93PKFlJFhqyQb31saptwbzLMJ545OMUIaSQZmrLAWJ305JnnhFzIhNxySd8HcRooWjuBQugVJKEv0Puk2qmMoejc43vwrIqlQSC6DD/IdrIvmz6IFcFzGXIGnIXOaNZFX2cIgpCPE4xHp8I+D7mGWsBb0E8CQsZd9ZZZ4XjRdKZb+koZTzHxwvZyDNjPURlBbLDhxegEGnNDAyGOIwo1hNQ9xDhQomRtHUDsaIgrBAa0fINVRGgCEUEH5uFL0viEd30sERkImdpgaCGDPoNK1oDkESApIQWNiQvZBm7fPZZrm5g1YTUk4zhi2dzz9xnviyekHhftDZbqyLPwxMsNjqUEQgj4x21YkDU2dzZoLIp5MxmyvdgvYoXD08CcyNOQqJkBNLCpumLyEfnM0WE85XEApHDyhMnzfyNdcNYU5IECz9r8uijj0793RBEiAHjXVNWRa43XgKFeUi9Q+Zh/Dp4bnxW6hTC+o1byPi+pEQlxhCFBusY8x5CVlNWRZ9pj/LAGtHIedRdHHc/J1kU8RJ4Eo1nhPkdH0dIHKWSAF4OX7ZJ68jix5XvRvbym3HFiULslCIjJtBgyAZGFOsJEJa+GHUaqyIEDksPIHCY2JV8WBgQ9mjEEEU2u+jmHI1TTJvEkgZs8ghAb/Hhd3CteKtiUpzif/7zn3BT5Xpy6eVaW2DTIKaOzThu4eI+IWnxUhy5gA3O1xdMatGlAescllo2Okpr+E2JTEoII91feGa+C0y21kSKA2O11lqTxcG8TCJQ3Kd//nH386uvvhoSWeaIdw/nCsYDMsg6jStQXINXovw1QBLTrg/WGPMd0sucqIkCw3gLPAGPAwKPOzpOoJi3KJFaKaPoutWAZZ/55RVS7+LNxqrIM0jT5SQK5hBKCtZ8rpV5kcmqKLUwjVsUfa1XH3OL5Q8yHLcqAuK0fSwxmcK+ygSf9d8bXR9cM1ZQT0J5BvFrhvRTGq2+lSEy1D6MKNYjEGeH0CRZJF6eJg46neACQ3Dkq+QHQooNnGtAwCHo4lYcXNzxfqpVBZsGm7kXcGywEN+kOEUASfHFtYn5qWrruZoEmy/jF61n6cHf81UqB0Cg+D6IB2220sJbE33BW7o70M4L6w/Xduedd4ZlN5gbXLNUn09KfoFwYYHM5rlBKLBmJW3oXsEiu9mTFDZtn8Sy2267VSlEgu/iuWFZ4rklhQhEiShEK03JKA++G1KAVY3fYIzyEauqgd9gfSfV0OT5UCMP0uYtyL6vM4k7khWYmLh4AocEFA8s0f67IOCs87RWReYBiiMyIRvFivvmOr2XgjHPZFWMtjD1ygrv/lqjGc/IMB8CBGFk3krhJKwhrIuQdsqWUWbKK8MoRlFFwyeyeKLIs8PbErXwGwy5wohiPQICh8BvzaqIMKJPpq+7iAYZbeeUKxDuCKKotQBNOa4NkzlKEeFsi/9KYEPEMhCN80HYImC9i893aEGI8nliDdnEsMD5ZIZMQGjvtNNOGTNsqxM8O64bkpRkAWaDYfPMR/YzwEXlEzg8sc4ExhglBVLGswYQOogPRXUpcYQlyMevYrVMS/jYXFFusKYSa5UNNBJCXTYf1wpZBCQLYJmB9Pg1lSvYwNmYsfjxffxWfPP35V8YN8YoLTGFMDHfISOcA1nKp7KgWUhZP1KiDdfBXPTWLeaklL3swXcRc5oUSxoneYxTND7VWxUZg0y1HCGGZAYjF3gu2VhgcamjDPssZa45k1WRcYrHKeK+9i0LvWfAl6/xMoZ7Ybyk+2HdnHnmmeE48zwoRO0Lt8et7fy2J4eA/89XTLPBYESxnoEOJggQMk6pZO83Kqwjl1xySWhBQ/tEOLJh56tOFhsBgjva4xhhhLDLhytUgo9VirthIazeDeUtDwhTLAjeUkSQfJoYN6+hUy4iGrhf0/AuVy3T1xc+zldZG+YHmzKZuHSAyQQ/tiRXxbMmPfEkW5MC0nRiyIaEeWtqLm5gNmDmZhIJYY56q6J3/XqrKNdXlbAMngOkDQubt+ZggYpbclCccNNfeOGFWSlRjIknugCSyBzROhFVFRAc1k1UOYuDOUMMLWMLSUE+YE3MNJbIkEzuYJ85HV+LjCvkL1NCDzGgjBe1+SDv8R7uEpAnEC0fyuKRyaoYjVP07mcfn4ic8ooS3w9JjLp+vTyVZCjzmhaiyFrkg6/iECeKkNCociXFKRoMucCIYj0DwoBWcoCWewQoExf2t7/9LSymihBGwOJOgzBWtUcv8B0Z4uUYEF5J7dPyCcgfvxMnJdGEFgSvj40kngdrFjFGbN5p4YvY1parhs2RTYHNV7PAsfFgucFFlg8wrj6Gz8cUSsA68eabb4b/z/ySwJzjOOEHaa2JbKJsdlhTcy3yDbGR4t989jMKFsoEVvdM95EGWNSwCjHfops/YxCvCsA1SB1IpPFmThADF113EEffESQtIC5p20AyF5kXmay6EF7um0xvCGKcYCWBucuc0BQd1jzZznHZBXlFieBdssLh7mVsIIn8FteH+zwNsfaZ9vH7hnRBOJENEsmNd6ZKat3HHI+TX+ZKJnc88g8FI+oZSorfjcrEtKTcYEgDI4r1ENTBQ6NHGEFuEJzEPR155JFhvBgxYlh08tVlBCGGJhz/PlwbCKdstdZs4qv4bTaNuGXQZ/d5Yufdz2jdAMtqNnFnbKSQ7ly731QFWBOwVrDZZHpmbBZYHPNFFIHPiCdJRcuqJu4V8oNVM0qM8gGeGwSoKp0ZvDKRZJ1BkYDIYFm65pprws9AOqoSIgFZgfBA7uNWItaGVpg6DZgTjHOcuEB8uBc8CWmAd8G7bNOsVYgizzhT0gPfSZiAdzmnKS+UKU6R58IrKYkGQOQkqyJrAnmA4uOtoSgdXCOkWyOn/CZEjvFO8kIw3nynZFWM9mlmjnk5ErXK8vc4mfNxipmeC7/vy+ZAoL28A9wzf4uXJLI4RUOjI4q0VyOTFs01vtg8IE0kbvAZNDcWVlw40HPWC3Y2Jd/zMgrqnEFO2JRHjRq1yvrggdXixBNPXGVRIw4rLrTTXEuuQCCTPECMGDEs//znP8PNj+tg48t3tX3IA4I7btXjd5LiFDWwWeGeSbNhMV4IxqSAeoRitF9qlGBAuHzturoOrh8LF9p/2mvmGWOViVuscgWbDooGG9lzzz2X+BmOeXct8zqfc8yXA8o2gSWOpO4fSVZFv1arak2EDEBu45Y0NmfWRVXiwyCZ3EtSnUXG3nd7yUQCkFW4Xin1wvzimjU3rD+Wtv8vso22h94NnQlSEpwHcgHylLTmNasiMgiLIHtEvFcwrnrkl2ZRjSexxJHJqsgc8Al2WFjjFkWvHMdjoKV6ikkgsQU5j6co6uL34TlJRBGFxdzPhkZDFNkUcWXRyUAScGxgfO6dd94J609BAonv8GAB8xnikqipduqpp4b1ql544YVVnyEJhHZCFBPGlYtwILsz6ro47bTTQjfdo48+GsY84e6I9lBOcy1VBZseFjBir/JRSFsCAg7hCJlI2gggrUnt0yQwjr7TQqbYRl8WJyluEBKPYPcCNrpZSwV86xKwXkAQIS1s+tkk0vhY0XwltUStitRUTCKgrAWulbnmCVc+wFphg8fqU9X4UDZFXhIJYa34Ocz4oQTmCqxubNa4kpMsUFiGq1LvEFLDvJDGBCIHGdWsiqwvkitQAiBXEHHO0azmPj4wm97TxOdl83nIk0TmfTcWrXQQ94Dr1WcVM19RzCGrPI+4nEJWML+QFZIrFmUFZVOTpZpVEQUn2vc5blHkGjFOJK1xb4lNE+uNxTNuzee+kIXxpEUUFuahEUVDoyGKl156aUjQksqGAKrYk9yBdQ2hQJD+5ZdfHloH/cZHkD0uFZqiI4QhWmQFE9fm8Ze//CWM+aPOGQufc9gQ6IvrNX0amfM5CkoTB3fPPfeEhNCXGElzLfUFkDWEm+QKwoqDgEpT3wxByP37bMRMcUOMNYJO6r+MS87/LlYE4pJwy3trS10EpBuFhU2OjYm2iigi2WT5Yt1go8xksYK8s2GlafsIaWLD4juT2t15ayLZzfmsw4blhc20qnUMpe4fUTDn/O+QdJOr9ZJ5DJFDFknPjbFkXWTK0JXIEoRFa3/pazMy/yVPBc8e0oWVjVAVvpMqAFy/NHewrOFNqc6e574/cRIxwgIab/8XB0SQe2cMIEFkOLPmKcMkPVPWGu7xpPI6vn991J2bi1XR701k1vusdC83fbeXJCJa1Vhv5oA0D5PqKRoMDZYoZgIdS1ioUZcFGzACkbgR/xmfCBL9DH8HkJhx48at9hk2H/7tP8NxFl70M2h4uA/8Z9JcSxIQQHwm+qptoGlzb3G3hgeabFr3BpsQ1goIOG4U7k8jzhzTXGCQVG/JZIPAEpyrNdEXGM6lnR3XQIwdWcNYCbFuQCQYO8aFjYgXBJHPMZ7Um8T16Qs0ZwvOY+OSkjewZrGBQup8i0MNfMbX28RaHrUQs7ky70G+suj95slawtKVL2KCBU6zzNDjFq9E1AOQLVBwIIIauWVu+o4wuVoTM8X8QaggCFhk44CoMA6QxOjaRVFGeeWZxi2e/Jtz8lXaShsblO84ifadnyS3cxQoF7iUaWeHjMDKrZUBY61w38y3uLue8YNQp7GKYlWUMqA9UfTVKPx9AtYpCnfSPEd+polTlMBalfo2Q0K59/pmoDDULTQYoohwjQsY/28fmyJ9BmGOVkbQN8Iy6TPR78CkH4+TjH8m07Uk4eqrrw6Fun+ljRPKBZAIauJlCvDmuJbNqLVPiwNXKVo72jMWQP5fcoP5TUNzR/qElqoKQQQ0Vgo62SDYs0kU8TXbiBHCtYnriw2ce0SAMy4QCzYWNjdcvHRciBYTzgWMCyQhqUacLzbMnIOMQjrS9Agm5hViibsy2mXCxy1iPc9XghSANHNtmSw52YANM5rkFAfky5cEygWMLfICN6fmHmVdQLiyVTyYe3yvZk30gBihdGF5jxJ7rhE5AwH3/X09mOf8HdmCQpMU6pGNGzkXePkWHxvILYQpWoJLAvcBUef+8SSk6XLDWPCKWhVZv8ga5mEaC7NWV5HvjsYOxjOeJeLPvfA8crEoIvu4JkmR9x206rv7mfus7iLzhjpKFM8999xwkWgv6rs1Fpx33nmh0Pcvn8GbbyC0GFs2fQiF5B7jGhBAmcgBhCVTPJavzeY3LoQbVkU27KTsUP6GkPNuqiRwbdEOLbkAawKbKq5X2mYRmI8lME38nyeJXCMki/vBsoFljv7SWDfHjBkT1r4kvhaSCCnKR6cYvgOLSnyz5VnyTHFNQxJ5Nr5bSKY+0ZBb35/bl8qBcL388st5Sf6IgmvhmiCfVSHMcSS1lswHPPlibOPlcDKti7QbHJ/zMatpyJJ3qUKO/XzlOyD6PH8pwYQ1gwva1x714Dsgt7mWJ6pqiABkBqU07XxALhG6kTZsA1mD69iX+4rGZGqFwuPgGhmnuPIVracYz3hG4WZuSvCx3tnWpOU+oh1Z4kDxY5yq2zvFPGdN5xJqkUZGI2fx2NR3wltfUatEkQK0X3/9tfpKU5sLICzigd3+316QSJ9hw/IFe1nsSZ+JfgfaTbwzQvwzma5FWtQ+IN+/qgO+JysbP4ITQppkRWPjQIBmSrJAAGpWHIDlC2EYJZ1sFvw+AjcuIKWyOFHwzBDyuQgnhDIWFSwDkCPIHm46yBKWQcZDI1ZcL25m7gmSmGSFYUz4PuYVx3O1Yklg/NjU/YbrlQsIAtcUbecFWUTgZtqIfH9ZMv0hRsQrQsSxTvK9+QBjz7VwTWkJUVpg7cfami+iyAbLc4Z8Md+I0STxKE19UuaG1Ms3Ccw5nllSprMEZATE0luWfdtOCqJrsaSsLazfWNcgMcwLNvtsCFM+QwSSurGkgdQ5RgL3Fy2v45NYsunIxG+iKCTFZUdj6KMWRea8liij9X3WgOzzCrMEZG51uZ5ZZ4TUoEDxPFnXdG5iHuYjNpJ5zW+w7piv7EmsRyv5U7PI786VJRCkaWpvpQGBzJTQgQR5d+VLL70UClKfjcZnfFC+B5/xvWgR/lg4qBeHpgqY/PybxBfAcQQFf6McDWBhQDr896S5ltpCtCcrwhGSBNkiEQehg1DBCsHneGUKLI9bcaTNCRID0YgLduKGEDS+K4e/RpDGUsD1xl1omeDj97huSCHKCFm9FGNmbLhOCOobb7wRPv/4HPXnc32QhnzN4WzhCSibPZsWpAaC4C21UWDpQPFC8GrufBQI7p/xePrpp1e5oHHX5qtnto9VzXctxuicqIongg0OAuGTSgiTwHqLezCbAvbcIwSA+81UmQAigbxAWdEsT0nAevj555+HmzNEg0SdNHOS50wyEcoFVknWcHW7nT24R1/jD5nhvRfV3RmJdY1yiszhGfPvXEIfUJxQHFh30bjDKFGMZjxzrxoZ5d55Bsy5bEgrzztTmEI0TjEfDRhQLJAjPDNfaN2XIMLiR/IcsaPIZeQnz5q1kK384Pkg0wgt8PHArEXkNMTUZ3UbGjhRzAZMOrQJ3tmoKW8DfEkDLCiQMNqGXXvttaHQvOCCC8J6h568UISagtRnn3122HD91VdfdY888siqtmSAhAgKVxPHQ+2xG264IVyMZEH7BX3MMceEn2MBQP5o/QY59H2F01xLbYHFxybiCSCEAmLBQqbrBtoa7mHfnUHKdo6CBQtpQjgkuYp9w/qkIHmeHb8PgYekEXeFcGBc02waXGM2sSs+65j7RwAlbai+kDCCjbqbCDsfY8rcY4wYF0ii5hqvbnCdCGhIERseWne8i4cH48kGyZznmjWhjVURosgzYVPg+caTwKoCCBHrRQrAryqYN2yM8U08DVCWkDEQJogUFqhcrZ6+Rl6aEBI2XuRJNtbE6P1CdrACoyjE6whKYGyQWYQZECvM/KguL0Ycnph65RLSARnIR1/6TIDAMUZUqkBO50I2fLco31HJA7nCfEGG+TAbPw81ZcHPlWwL/iP7MikWXKuPU0wjr7yRIOnFd/DOPaJkc7/IUC9zsIqyF7B2UGCxxCMvo8QuzR7IPsWc4DeYF/77eXasTb6TBDtvyawuWWKoZ0SRGoTUI/TwrbDGjh0bbvhsfFhAyGhkE2LCQvhopO7BwoUUUmbnr3/9azjp7rrrrjAj2YN4Mszn/B4ED8JAbblocgrldNiYsShCPDj/1ltvXXU8zbVkAwhUVfrRRgHZZvFFhZsnHGwSWNEgfACynPZ3EQBSRjebIGMtWTmwiPD7xKD4si8IoDSxUhBcyC5WoExuKIQcwovNmO4NmQQ3AsqTReYCwhEBhUCHOGVr+akOYOXCMscmnylMAysyVkXCILTNkbUFEfZFgxmrfBEIn6xRnSWM2EiYbzzrbF2pjA0kAqtcPqwvkDhvoZfIOcdYIxB9KdYsE7AqsQZQbrOJ+WQus6lT0iWe+FKdYGyRqWz0bPKMgdZbOp/waxtSljaJJQ7OYbwgm1ErLH+/6qqrQoXDkxeIIrIskyyNximmeYY8b34v05zxcYrIV40osu9B0JCnfC8v//9cD/+PnEZGI3c0wocsZu3xYh9BlpAN7isxcD1SKA57FAScfYr9N674+vhs5i5KMkptvsN6DKuj3owuBauTuqhEwaSMu5bjgFRiutaAm9m7mpOA1ktNRF5VuZZsLDD5ICUQMMiRRCjQBIlbpJUbVrdsNlkEEIsVC1R00SL0ILosbKlzAwsfqyKCGyEB+U772whJH9sjdezx14GwImkF8p42tokNGCGJQoJQQkhCErXfqklAugiTSNMVg43KKz4aseZ+sSpSQxT4sjn5mss86+q0xPqWlmxKGkGLgzFh/kIe8kES/ebvW9ZJG7on7lUhzxB7HzaSLbzSXd1lceLgeiEPjA1jlKYsTr6ArCPxrCquSwgi4x2XefGQGYgiim+mZ+PrKUIy0zRR8AQ0jXLBffo+1NK6RIYi21BuuB/kA+/+/z1hzBZcI/KffYc16S2ByFB+K/qdKJK8UE6TiqcnFVLney1msXpRb4hiYwaxJWksZpmAxoj1SXOlIaCwbBBnks3GAZHlXKx2UTcA7gMEQqZSP2wSCAasd77tYRr4jD8IpkbeuHcEMb+RNI5YBwhDSLKqeKsDwg3XXq5Wn+pCNuQAosvmTEyo9nyJXcVawqZXlf7LSW3paiJO1/cexkKSdi4xR5iH+UzowOXHdTDeSfOGdc2aIdu+ql6DXNsqsuH6+OqaBHKCa85Uq7W6UNWyTMwrXytTU+SR32kUo2icYhqiCLFDUUzjeUHmI/eS9hG8JRAt1nwuoQ9p4S2SPGvi+jHY8M44+lhe5Hg2LSFBTYVLNGY0mDqKDRlorlqrrmzqUGmWPQ8ECeQgG3M+mxzCKJ5tyiYA+UoToE0gOEIEYZmNxYnx0TKfsSohfNE+pevgNylhI8W6MG5YW+saScwWuH0YBzYGTQuHPNBTVrOsZws2JBSVmkj+IbSC30rb5tB3K2GjzJc10QPiKc1P7x6HwDc2+CS4aDxffQIyD3d5vAJGHMjbNMQPy1o29RSZU96qmQk+TjFeJgcFhr2hukliXLYQKkPoFu5l5BDeGvYKkrmyIYmGmoERxXoA3J8Ij6r0jsVagnWoOot4IzSjJSPQXiGnaUscIXix2EFksiGpbDha2Reffa5l2ULEactYVUJeH8DzwBWW1M6susAGVVPWxOh9skGnqSGHNQMloToIiy+7FS9u74s2Y+XONzmtD+DZ+A42Nel2zieQp17OJcGX/UmbyYyc4rvSJOixH6RVqFEQIZXROoS+Ow8epNqoxsGYkEwFYSSOEUsi7/msq2rID+yJ1AP4zLKkVl1pAInC0gfhrKr7WgNCywfuA+/2S5M57YFFMVvNlo2GjTipbhebM0SBzVhz7RG/SF1Pn8DRkMHGxXhECw9XN7AmYjWrSULAmoEsplk3JJOgSFSHG4vrSGrnx1zDcl8frWn5JFoQ6doqMVVVIN+S2hF6+IzntEQRGZqmiQAyFkKVjYcDOey9CMSDs/4hidVVpioteP7bbbddGLtsJLFuwp5KPQCCBres79+aa926NDURq4J40Vg2Rly21W0t8QktScIagkIgd2N07WnA3QlJqQmrIkoK7qY0benyDeYfG6JWcJjrY43lKxYzDr4ba36UKPKbKDe+DFNjBUQeq1J9HQPfclByP3uimDb+FFmGrM5kBc/UkUVLOCRREUJG4grrw2DIBCOK9QS+VVc2fYg9sOxBlKo76BetmWtkE0SQQQ5qIpMSksi9xbVwLIxcB5txTdRnq09go2BcIPG5djHBWpum+wJxUMy/tK3W8h0Owe8SfiCBcAOUqOq0dnId0ZhQCDpleGqqJExdBSSrPltUfVtSaQ0RXsA9prWU+Yx9ZJlm7ec48jZN7GOUKPouZNSArS7FyNDwYESxnoAFjkXGt+pKC4QNZKAmLGq4ndn4EGJcJzEx1d1pwf8uZCAuWCEouLZMICbDW1pzjcuk1AXZ8bwkwshcINyBuVsbAer+t7mOJGs8lkb+TmZ7dV4frlXfiQRlD+UmqUacof4B2eNrucbB887WrU7oDckeFH6X1hWyjt/NxlWLskyiCHV/08aNGwzAiGI9Am4CtEjKjKQFJACyVFPWHIQiGy8uFywmNRVzgtYeJQIQAIS0t5plAi4cagfW96zmbABJ8V08sq1D5hUQshaZW3RgoANJfGODrEPUa7PVFhYf3HlJ1ngsjcRuVWeSV9Sag0uRNQl5rQklylD98GVyJLmcjdUP4IYn+5fyPayrpMQWrPm5dAxCHtZ0vUxD/YcRxXoENhvIYloLEMIEwoS1pKYIGzE7PnamujffKPg97tFnlpIogDsxreaMUH7qqaeqXFutvsEXas42UYo5SJwjSTG/+tWvwtJBzE+sjIw9wfaQSTY9qa1gTQHlinUTt8bXVJIXgFSzHkgiYI1EewIb6jfIKIZ8xYkisoj5n03vZg/cwxSdZq7E2/qxtlhPjUmpNdQujCjWM5ChhgshTVwZGyPabj4LCGcClhufOFOThVARmj77kLggSADum7RldrCEQZbSxNw1JDA+mms2UwcTyDkki3m5zz77uF133TXcGGkDCWmEeGeT9V5dwKrJhh4NTyB2F3JbUzFyhGIwNszLutLZx5AfEHIDgYta/5BD2WQ8J3lnIIusy2g9UJ8gY0TRUFMwoljPgJsPK1kaqyKZeARG12QiBxo0Vqaatpjg3oGYQgSwaPlagWnxxRdfhKSa98YGxgnLRdri1BDqJAUEqxmkk7poPg6Knrp1oeQF64brja4biCLrI01ni3wRRVz91dnn2lA7YD0wj6IKvCd0VZlfKFpkhbPmvJLjW/xZRxJDTaH2JbghK+ByYHPjHY01DjRahBUJBmiytZFRyEZY0xmujAcbMVZU/h+rTX0tuVHTYCODwECcMoH5lamDCYoJBHH//fev0fADDZBVrJ7eGur7ntdkqAEVAXDR1xQxNdQcfN/iqPsZoojFuqpyCMWb9YRMZ+5i/c82kcVgqApsptVTNwcxMSQKAFwTWA+pj/Xtt9+G/0/cGW6LbFrh1Xdwr4wFmbx1haDUF+CaxfqRKaTB1+RMo4DUNaLOmsGdhzJBEgsksb4WejbULaCcsiaiJbpIEMsl4SRpHdGxCgs9Mh5lx+atoSaRvk+aoc7AJwggNCZOnBjGxhCvwmaPGxFtE+tFYyu9wRhw/1gTTdvODlhDGDvmk5alCcmizVZ9jI/C0ok1/uWXXw7/32d8Gwz5WkPE65JAiLUd63u+3MNYoakw8PTTT4eW//q4/gz1F0YU6ynY1NnoECAkC0AOcw2abijAiormXZulWOorUCpwzU6YMCG0WCRlAddkTc7qAlYZlCisz4292LUh/0SRuYVHh/mFspptaZxM34+XaNy4cUYUDTUKI4r1FGzku+++e21fRp3L4M21TSFWSOKLGnP8GK5ZFA4C55PItu9gUhsdVvIFknawKnIPdc01bqj/MpmEqY8//jiswIDVOt/KO14j3NkQUoOhpmD+OYPhf+583ESNmTz4LiYkesSL/GJl5FWTNTmrC1hl6rNV1FB3gXfHNxwg5jefFkVv+TeSaKhp1G+JbzDkCdT9o6QL740ZWAxJVsF9FgVWRl9ixmAwyO5hrIhY3yF0aeu4Ggx1GUYUDQbnXGlpqXvxxRfD98YMYp/iXUywLuKW10riGAwGF3olUKiwKFpmsqGhwIiiwWBYIw4KS4gv8EtJHGL7aqMmp8FQH63yWBUt4cTQUGBE0WAwrAYKl5PYQq1B73bGymidIAyGdO5n367RYGgIMKJoMBhWA8kqJK1QMJjEFrI3LfnDYEgHXM6sH3M9GxoKjCgaDM6FnVxuvvlm6+jyP5C0gmWEAtz1vSSOwVCToHLCRhttFGY9GwwNAZaSVYfhS5Rg1TFUL5o2beoOP/zw8P9tvP+fLM6YMSMs+dHYk3wMBkPdBq7+xtaNrKZQEMQLphnqDH788UezcBkMBoPBkAFUZrA46uqBEcU6DAq3/vzzzzlpSljFIJk//PCDLZ4UsPHKHjZm2cHGKzvYeGWPxjxmZlGsPpjruY4nFVS1Hy3CorEJjKrAxit72JhlBxuv7GDjlT1szAz5hCWzGAwGg8FgMBgSYUTRYDAYDAaDwZAII4oNOIv34osvDt8NmWHjlT1szLKDjVd2sPHKHjZmhuqAJbMYDAaDwWAwGBJhFkWDwWAwGAwGQyKMKBoMBoPBYDAYEmFE0WAwGAwGg8GQCCOKBoPBYDAYDIZEGFFsQJg3b5479NBDw0Kr7dq1c8ccc4wrKytTP3/yySe7IUOGhA3se/fu7U455ZSwFVJDxC233OL69u3rmjVr5kaNGuU++OAD9fOPPvqoGzp0aPj5YcOGuWeffdY1JmQzXnfeeafbaqutXPv27cPXjjvumHF8GyKynWMeDz30UNhVYu+993aNCdmO14IFC9yJJ57ounfvHmb2Dh482NZlhjG74YYbVsl4uracdtppbtmyZTV2vYYGALKeDQ0Du+yySzB8+PDgvffeC958881g4MCBwSGHHCJ+/osvvgj23Xff4KmnngomTpwYvPLKK8GgQYOC/fbbL2hoeOihh4KSkpLg7rvvDr766qvg2GOPDdq1axfMnDkz8fNvv/12UFRUFFx77bXB+PHjgwsuuCAoLi4Ox6wxINvxGjNmTHDLLbcEn3zySfD1118HRx11VNC2bdvgxx9/DBoLsh0zjylTpgQ9e/YMttpqq+BXv/pV0FiQ7XgtX7482HjjjYPddtsteOutt8Jxe+2114JPP/00aCzIdsweeOCBoGnTpuE74/XCCy8E3bt3D0477bQav3ZD/YURxQYCyAy8/8MPP1z1t+eeey4oKCgIfvrpp9Tf88gjj4SCaOXKlUFDwiabbBKceOKJq/5dUVER9OjRI7j66qsTP3/ggQcGu++++2p/GzVqVPDb3/42aAzIdrziKC8vD1q3bh3cd999QWNBLmPGOG2++ebBXXfdFRx55JGNiihmO1633XZb0L9//2DFihVBY0W2Y8Znt99++9X+dvrppwdbbLFFtV+roeHAXM8NBO+++27obt54441X/Q33H/2i33///dTfg9sZ13WTJg2nDfiKFSvcuHHjwvHwYFz4N+OWBP4e/TwYPXq0+PmGhFzGK44lS5a4lStXug4dOrjGgFzH7LLLLnNdunQJw0QaE3IZr6eeesptttlmoeu5a9eubr311nNXXXWVq6iocI0BuYzZ5ptvHp7j3dOTJ08OXfW77bZbjV23of6j4bCBRo4ZM2aEG04UkD02ao6lwZw5c9zll1/ujjvuONeQwH2xmbC5RMG/v/nmm8RzGLOkz6cdy8Y2XnGcc845rkePHmuQ7YaKXMbsrbfecn//+9/dp59+6hobchkvSM6rr74axmFDdiZOnOh+97vfhQoJ3UgaOnIZszFjxoTnbbnllngPXXl5uTv++OPdH/7whxq6akNDgFkU6zjOPffcMMhde6XdvDUsWrTI7b777m6dddZxl1xySV6u3dA4cc0114TJGU888UQYcG9YE6Wlpe7www8Pk4A6depU25dTL1BZWRkqw3fccYfbaKON3EEHHeTOP/98d/vtt9f2pdVZvPbaa6HV9dZbb3Uff/yxe/zxx90zzzwTGgQMhrQwi2IdxxlnnOGOOuoo9TP9+/d33bp1c7NmzVrt72iPZDZzLNOmtcsuu7jWrVuHm3txcbFrSGAjLioqcjNnzlzt7/xbGhv+ns3nG/t4eVx33XUhUXz55Zfd+uuv7xoLsh2zSZMmualTp7o999xzNSLkPQETJkxwAwYMcA0VucwxMp2RTZznsfbaa4dWftyyJSUlriEjlzG78MILQ4XkN7/5TfhvqjcsXrw49BpBsnFdGwyZYLOkjqNz585hiRbthYAkdofSEcSjeOCmYfOhhIJmSdx5553D7yAGqCFagLg3LBCvvPLKqr8xLvybcUsCf49+Hrz00kvi5xv7eIFrr702tFQ8//zzq8XKNgZkO2as2y+++CJ0O/vXXnvt5bbbbrvw/ylj0pCRyxzbYostQnezJ9Tg22+/DQlkQyeJuY4ZscJxMuiJNq5ogyEVajubxpDf8jgjRowI3n///bB8BKVuouVxKFUyZMiQ8DhYuHBhmMk7bNiwsDzO9OnTV73IxmxoZSUoE3HvvfeGGeLHHXdcWFZixowZ4fHDDz88OPfcc1crj9OkSZPguuuuC8u9XHzxxY2uPE4243XNNdeE2fKPPfbYavOotLQ0aCzIdsziaGxZz9mO17Rp08JM+pNOOimYMGFC8PTTTwddunQJrrjiiqCxINsxQ24xZg8++GAwefLk4MUXXwwGDBgQVnUwGNLCiGIDwty5c0Ni2KpVq6BNmzbB0UcfvdpGTR0tdIOxY8eG/+adfye9+GxDw0033RT07t07JDSUmaDepMc222wTbtTxUkGDBw8OP7/uuusGzzzzTNCYkM149enTJ3EesVE1JmQ7xxozUcxlvN55551QuYUsUSrnyiuvbHBKbT7HjDJnl1xySUgOmzVrFvTq1Sv43e9+F8yfP7+Wrt5QH1HAf9LZHg0Gg8FgMBgMjQkWo2gwGAwGg8FgSIQRRYPBYDAYDAZDIowoGgwGg8FgMBgSYUTRYDAYDAaDwZAII4oGg8FgMBgMhkQYUTQYDAaDwWAwJMKIosFgMBgMBoMhEUYUDQaDwWAwGAyJMKJoMBgaNI466ii3995719rvH3744e6qq65K9dmDDz7Y/fnPf672azIYDIa0sM4sBoOh3qKgoEA9fvHFF7vTTjuNVqWuXbt2rqbx2Wefue233959//33rlWrVhk//+WXX7qtt97aTZkyxbVt27ZGrtFgMBg0GFE0GAz1FjNmzFj1/w8//LC76KKL3IQJE1b9DXKWhqBVF37zm9+4Jk2auNtvvz31OSNHjgytoCeeeGK1XpvBYDCkgbmeDQZDvUW3bt1WvbDAYWGM/g2SGHc9b7vttu7kk092p556qmvfvr3r2rWru/POO93ixYvd0Ucf7Vq3bu0GDhzonnvuuTWsfbvuumv4nZyDS3nOnDnitVVUVLjHHnvM7bnnnqv9/dZbb3WDBg1yzZo1C79n//33X+04n3/ooYfyNkYGg8FQFRhRNBgMjQ733Xef69Spk/vggw9C0njCCSe4Aw44wG2++ebu448/djvvvHNIBJcsWRJ+fsGCBaELecSIEe6jjz5yzz//vJs5c6Y78MADxd/4/PPP3cKFC93GG2+86m+ce8opp7jLLrsstHzyPbiao9hkk03C61q+fHk1joDBYDCkgxFFg8HQ6DB8+HB3wQUXhJa98847L7TuQRyPPfbY8G+4sOfOnRuSPXDzzTeHJJGklKFDh4b/f/fdd7uxY8e6b7/9NvE3iEssKipyXbp0WfW3adOmuZYtW7o99tjD9enTJ/weiGMUPXr0cCtWrFjNrW4wGAy1BSOKBoOh0WH99ddf9f+QuY4dO7phw4at+hsuYTBr1qxVSSmQQh/zyAvCCCZNmpT4G0uXLnVNmzZdLeFmp512Cgli//79Q4vlAw88sMpq6dG8efPwPf53g8FgqA0YUTQYDI0OxcXFq/0bMhf9myd3lZWV4XtZWVkYO/jpp5+u9vruu+/WcB17YKGE7GEd9CD+Edf2gw8+6Lp37x5aLrFu4tr2mDdvXvjeuXPnPN+1wWAwZA8jigaDwZABG264ofvqq69c3759w0SX6AtXchI22GCD8H38+PGr/Z0s6B133NFde+21oWt76tSp7tVXX10taWattdYKiabBYDDUNowoGgwGQwZQqgZL3yGHHOI+/PDD0N38wgsvhFnSZDcnAYsgBPOtt95a9benn37a3XjjjaE1khjG+++/P7RaDhkyZNVn3nzzzTCZxmAwGOoCjCgaDAZDBpBg8vbbb4ekEBJHPCPldSjiXVhYqNZRJA7Rg88//vjjYQb12muvHdZXxA297rrrhseXLVvmnnzyyTCpxmAwGOoCrOC2wWAwVBNIaMFaSDHwzTbbLOPnb7vtNvfEE0+4F198sUauz2AwGDLBLIoGg8FQTSCDGfeyVpg7ChJqbrrppmq/LoPBYEgLsygaDAaDwWAwGBJhFkWDwWAwGAwGQyKMKBoMBoPBYDAYEmFE0WAwGAwGg8GQCCOKBoPBYDAYDIZEGFE0GAwGg8FgMCTCiKLBYDAYDAaDIRFGFA0Gg8FgMBgMiTCiaDAYDAaDwWBIhBFFg8FgMBgMBoNLwv8Bs09z57dCenMAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "epochs[0].plot_image(picks=[0], scalings=dict(eeg=1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Decoding analysis\n", "\n", "### 6.1. Within subject analysis:\n", "We can try to decode each of the labels of interest (face vs. objects and attended vs. unattended) for a given subject and we will see that these effects are present at the expected time points, but this time following the dynamics defined by our kernel:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Sensor space decoding')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.svm import SVC\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import StandardScaler\n", "from mne.decoding import SlidingEstimator, cross_val_multiscore\n", "\n", "# Create the classifier:\n", "clf = make_pipeline(StandardScaler(), SVC())\n", "\n", "# Time resolved\n", "time_decod = SlidingEstimator(clf, n_jobs=None, scoring=\"roc_auc\", verbose=True)\n", "\n", "# Extract the data:\n", "data = epochs[0].get_data()\n", "\n", "# Decode faces vs. objects:\n", "cate_lbl = np.array([mapping[\"category\"][val] for val in X.to_numpy()[:, 0]])\n", "scores_category = np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, cate_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", ")\n", "\n", "# Decode attended vs. unattended:\n", "att_lbl = np.array([mapping[\"attention\"][val] for val in X.to_numpy()[:, 1]])\n", "scores_attention = np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, att_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", ")\n", "\n", "# Plot\n", "fig, ax = plt.subplots()\n", "ax.plot(epochs[0].times, scores_category, label=\"category\")\n", "ax.plot(epochs[0].times, scores_attention, label=\"attention\")\n", "ax.axhline(0.5, color=\"k\", linestyle=\"--\", label=\"chance\")\n", "ax.set_xlim([epochs[0].times[0], epochs[0].times[-1]])\n", "ax.set_xlabel(\"Times\")\n", "ax.set_ylabel(\"AUC\") # Area Under the Curve\n", "ax.legend()\n", "ax.axvline(0.0, color=\"k\", linestyle=\"-\")\n", "ax.set_title(\"Sensor space decoding\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.2. Group level analysis\n", "We simulated the data of 20 subjects, so we can investigate the evidence for decoding of the experimental manipulations at the group level. First, we need to perform the decoding on every single subject:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from mne.stats import permutation_cluster_1samp_test, bootstrap_confidence_interval\n", "\n", "scores_category = []\n", "scores_attention = []\n", "\n", "# Loop through each subject:\n", "for epo in epochs:\n", " # Extract the data:\n", " data = epo.get_data()\n", " # Classification of category\n", " scores_category.append(\n", " np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, cate_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", " )\n", " )\n", " # Classification of attention:\n", " scores_attention.append(\n", " np.mean(\n", " cross_val_multiscore(\n", " time_decod, data, att_lbl, cv=5, n_jobs=-1, verbose=\"WARNING\"\n", " ),\n", " axis=0,\n", " )\n", " )\n", "\n", "scores_category = np.array(scores_category)\n", "scores_attention = np.array(scores_attention)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then apply a cluster based permutation test across subjects to find out when we have an effect:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using a threshold of 1.729133\n", "stat_fun(H1): min=-2.9387593828077394 max=5.261859796586662\n", "Running initial clustering …\n", "Found 5 clusters\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "08e03285808442d8b367207d40b8b7c9", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | Permuting : 0/1023 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the confidence intervals:\n", "ci_low_cate, ci_up_cate = bootstrap_confidence_interval(scores_category)\n", "ci_low_att, ci_up_att = bootstrap_confidence_interval(scores_attention)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(epochs[0].times, np.mean(scores_category, axis=0), label=\"category\", color=\"b\")\n", "ax.fill_between(epochs[0].times, ci_low_cate, ci_up_cate, alpha=0.3, color=\"b\")\n", "ax.plot(\n", " epochs[0].times[sig_mask_cate],\n", " np.ones(np.sum(sig_mask_cate)) * 0.4,\n", " marker=\"o\",\n", " linestyle=\"None\",\n", " color=\"b\",\n", ")\n", "\n", "ax.plot(\n", " epochs[0].times, np.mean(scores_attention, axis=0), label=\"attention\", color=\"g\"\n", ")\n", "ax.fill_between(epochs[0].times, ci_low_att, ci_up_att, alpha=0.3, color=\"g\")\n", "ax.plot(\n", " epochs[0].times[sig_mask_att],\n", " np.ones(np.sum(sig_mask_att)) * 0.4,\n", " marker=\"o\",\n", " linestyle=\"None\",\n", " color=\"g\",\n", ")\n", "ax.axhline(0.5, color=\"k\", linestyle=\"--\", label=\"chance\")\n", "ax.set_xlim([epochs[0].times[0], epochs[0].times[-1]])\n", "ax.set_xlabel(\"Times\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results align with what we would expect. However, you probably noticed that this time, the effect don't seem to be restricted to the time points we have specified. That's to be expected. The gamma kernel are convolved with the time windows of our effects, so the effects gets protruded in time. If you want to avoid this, you should specify your effect as a single point in time (one sample) which when convolved with a temporally extended kernel will become protruded in time. You can then play around with the spread of your kernel to control the duration of the effect. So when using a kernel, it is a bit less straight forward to specify clear time points for your effects. \n", "\n", "In the next tutorial, we will show how to specify between subject noise, to make the data even more realistic." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }