{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Important: This notebook will only work with fastai-0.7.x. Do not try to run any fastai-1.x code from this path in the repository because it will load fastai-0.7.x**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AdamW/SGDW benchmarking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is to benchmark an implementation of https://arxiv.org/abs/1711.05101" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "PATH = \"/home/as/datasets/fastai.cifar10/cifar10/\"" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%reload_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# This file contains all the main external libs we'll use\n", "from fastai.imports import *\n", "from fastai.transforms import *\n", "from fastai.conv_learner import *\n", "from fastai.model import *\n", "from fastai.dataset import *\n", "from fastai.sgdr import *\n", "from fastai.plots import *\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Common stuff for all experiments" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def Get_SGD_Momentum(momentum=0.9):\n", " return lambda *args, **kwargs: optim.SGD(*args, momentum=momentum, **kwargs)\n", "\n", "def Get_Adam():\n", " return lambda *args, **kwargs: optim.Adam(*args, **kwargs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import pickle\n", "\n", "def save_list(fname, l):\n", " with open(fname, \"wb\") as fp:\n", " pickle.dump(l, fp)\n", " \n", "def read_list(fname):\n", " with open(fname, \"rb\") as fp:\n", " return pickle.load(fp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Section 1: Plot loss trends of various scenarios" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### This is a common function which does the training. \n", "\n", "The only thing it asks for is the optimizer, and the initial LR for that optimizer. Hence we are comparing optimizers keeping all things same." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def experiment(optimizer, PATH, lr=1e-3, find_lr=False, use_wd_sched=False, wds=None, do_unfreeze=False, \n", " norm_wds=False, wds_sched_mult=None):\n", " sz = 32\n", " bs = 120\n", " arch=resnet152\n", " cycle_len=2\n", " cycle_mult=2\n", " num_cycles = 4\n", " lr = lr\n", " \n", " if wds is None:\n", " weight_decay = 0.025 # As used in the paper https://arxiv.org/abs/1711.05101\n", " else:\n", " weight_decay = wds\n", " \n", " tfms = tfms_from_model(arch, sz, aug_tfms=transforms_side_on, max_zoom=1.1)\n", " data = ImageClassifierData.from_paths(PATH, tfms=tfms, bs=bs)\n", " learn = ConvLearner.pretrained(arch, data, precompute=True, xtra_fc=[1024, 512], opt_fn=optimizer)\n", " \n", " if find_lr:\n", " lrf=learn.lr_find()\n", " learn.sched.plot()\n", " return\n", " \n", " learn.fit(lr, 1, wds=weight_decay, use_wd_sched=use_wd_sched, norm_wds=norm_wds, wds_sched_mult=wds_sched_mult)\n", " print('Now with precompute as False')\n", " if do_unfreeze:\n", " learn.unfreeze()\n", " \n", " learn.precompute=False\n", " learn.fit(lr, num_cycles, wds=weight_decay, use_wd_sched=use_wd_sched, cycle_len=cycle_len, \n", " cycle_mult=cycle_mult, norm_wds=norm_wds, wds_sched_mult=wds_sched_mult)\n", " \n", " loss = learn.sched.losses\n", " fig = plt.figure(figsize=(10, 5))\n", " plt.plot(loss)\n", " plt.show()\n", " learn.sched.plot_lr()\n", " \n", " return learn.sched.losses, learn" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "f = lambda x: np.array(x.layer_opt.lrs) / x.init_lrs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SGDR/SGDW" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6a0582a57bbd41f7bdd2e175c997ec12", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " 88%|████████▊ | 367/417 [00:06<00:00, 53.78it/s, loss=6.84]\n", "CPU times: user 12.9 s, sys: 6.71 s, total: 19.6 s \n", "Wall time: 13.8 s\n" ] }, { "data": { "image/png": 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\n", 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Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.10252 1.04199 0.65605] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "391731469b724c77bd196a3f694806cc", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.1364 1.02446 0.65794] \n", "[ 1. 1.08206 0.97455 0.6751 ] \n", "[ 2. 1.15686 1.07465 0.63869] \n", "[ 3. 1.15261 1.0353 0.65099] \n", "[ 4. 1.10498 0.98328 0.67708] \n", "[ 5. 1.06011 0.95787 0.68948] \n", "[ 6. 1.19456 1.09135 0.63075] \n", "[ 7. 1.19494 1.08135 0.63065] \n", "[ 8. 1.19586 1.06903 0.64256] \n", "[ 9. 1.16876 1.06267 0.65228] \n", "[ 10. 1.13828 1.02387 0.65903] \n", "[ 11. 1.11264 0.99049 0.67401] \n", "[ 12. 1.07651 0.97051 0.68056] \n", "[ 13. 1.06247 0.96359 0.68204] \n", "[ 14. 1.22855 1.07522 0.63919] \n", "[ 15. 1.21781 1.11106 0.63383] \n", "[ 16. 1.20853 1.08698 0.63849] \n", "[ 17. 1.22872 1.08815 0.6373 ] \n", "[ 18. 1.23351 1.10872 0.62689] \n", "[ 19. 1.19806 1.07182 0.64554] \n", "[ 20. 1.21998 1.06709 0.64554] \n", "[ 21. 1.18835 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 22s, sys: 6min 45s, total: 30min 8s\n", "Wall time: 20min 7s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# Without weight decay\n", "sgdm = Get_SGD_Momentum()\n", "loss_sgdm, _ = experiment(sgdm, PATH=PATH, lr=1e-2)\n", "save_list('sgdm_loss.txt', loss_sgdm)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0ec70cbc44564e2d851d2b8f33f5ee5d", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.09579 0.98664 0.65526] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5ef22ff44ea3441192ae23b85f5069c4", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.12314 0.95745 0.66409] \n", "[ 1. 1.07291 0.93583 0.66964] \n", "[ 2. 1.0849 0.93277 0.67599] \n", "[ 3. 1.03306 0.91303 0.68145] \n", "[ 4. 1.01905 0.88995 0.69058] \n", "[ 5. 0.98558 0.89072 0.68849] \n", "[ 6. 1.02736 0.91853 0.67559] \n", "[ 7. 1.0194 0.90845 0.68353] \n", "[ 8. 0.99881 0.89167 0.6869 ] \n", "[ 9. 0.99231 0.86899 0.69524] \n", "[ 10. 0.94204 0.84914 0.70357] \n", "[ 11. 0.91504 0.83937 0.70585] \n", "[ 12. 0.89167 0.83442 0.70883] \n", "[ 13. 0.89308 0.83453 0.70982] \n", "[ 14. 0.98872 0.88613 0.69048] \n", "[ 15. 0.99674 0.88223 0.69593] \n", "[ 16. 0.97349 0.88411 0.69276] \n", "[ 17. 0.9857 0.87319 0.69782] \n", "[ 18. 0.96493 0.8684 0.69712] \n", "[ 19. 0.94969 0.85978 0.69901] \n", "[ 20. 0.94785 0.85255 0.70218] \n", "[ 21. 0.92961 0.84641 0.70992] \n", "[ 22. 0.90159 0.83513 0.70675] \n", "[ 23. 0.89571 0.83458 0.70863] \n", "[ 24. 0.87042 0.82623 0.71111] \n", "[ 25. 0.85979 0.81458 0.71696] \n", "[ 26. 0.82356 0.81444 0.71647] \n", "[ 27. 0.80551 0.81218 0.71875] \n", "[ 28. 0.80451 0.80461 0.71845] \n", "[ 29. 0.81771 0.80785 0.71935] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 27s, sys: 6min 52s, total: 30min 19s\n", "Wall time: 20min 29s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "sgdmw = Get_SGD_Momentum()\n", "loss_sgdmw, _ = experiment(sgdmw, PATH=PATH, lr=1e-2, use_wd_sched=True, norm_wds=True, wds_sched_mult=f)\n", "save_list('sgdmw_loss.txt', loss_sgdmw)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adam/AdamW" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3e03a1c4df3a4193824543a4898f5246", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " 75%|███████▍ | 311/417 [00:07<00:02, 42.19it/s, loss=5.74]\n", " \r" ] }, { "data": { "image/png": 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\n", 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Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 18s, sys: 6min 59s, total: 30min 17s\n", "Wall time: 20min 23s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# Without weight decay\n", "adam = Get_Adam()\n", "loss_adam, _ = experiment(adam, PATH, 1e-3)\n", "save_list('adam_loss.txt', loss_adam)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1241a47ec14148f7afbcf6aea2686dbb", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.05115 0.96719 0.6628 ] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "fd21dd9660f7481387b72eba4f5cfe8a", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.08162 0.94352 0.67183] \n", "[ 1. 0.99748 0.89464 0.6881 ] \n", "[ 2. 1.0483 0.91754 0.67679] \n", "[ 3. 1.02091 0.89119 0.68889] \n", "[ 4. 0.95075 0.85186 0.70327] \n", "[ 5. 0.90177 0.84354 0.70506] \n", "[ 6. 1.00654 0.89183 0.68552] \n", "[ 7. 0.99001 0.88197 0.69018] \n", "[ 8. 0.96011 0.87726 0.69534] \n", "[ 9. 0.96041 0.85465 0.70427] \n", "[ 10. 0.90791 0.84278 0.70377] \n", "[ 11. 0.87729 0.82705 0.71131] \n", "[ 12. 0.86129 0.81556 0.71369] \n", "[ 13. 0.84167 0.81839 0.71319] \n", "[ 14. 0.96958 0.88032 0.69177] \n", "[ 15. 0.96295 0.86398 0.69831] \n", "[ 16. 0.97039 0.87492 0.69117] \n", "[ 17. 0.9624 0.87117 0.69564] \n", "[ 18. 0.95494 0.86043 0.70437] \n", "[ 19. 0.93728 0.85608 0.70089] \n", "[ 20. 0.90854 0.84553 0.70397] \n", "[ 21. 0.90762 0.84097 0.70883] \n", "[ 22. 0.8828 0.83024 0.7127 ] \n", "[ 23. 0.85682 0.82416 0.71329] \n", "[ 24. 0.84861 0.80681 0.71984] \n", "[ 25. 0.81995 0.80552 0.71875] \n", "[ 26. 0.79154 0.79567 0.72321] \n", "[ 27. 0.78195 0.79831 0.72401] \n", "[ 28. 0.77546 0.79399 0.72698] \n", "[ 29. 0.76665 0.79755 0.72421] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 25s, sys: 7min, total: 30min 26s\n", "Wall time: 20min 39s\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "adamw = Get_Adam()\n", "loss_adamw, _ = experiment(adamw, PATH, 1e-3, use_wd_sched=True, norm_wds=True, wds_sched_mult=f)\n", "save_list('adamw_loss.txt', loss_adamw)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Differential Learning and Weight Decay" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "08be83f6b17e441db33c1dc2020dbcbf", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.25343 1.04188 0.63175] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9e46f131fdd64185984515747c8c1967", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.12512 0.96615 0.66171] \n", "[ 1. 1.05414 0.92497 0.6746 ] \n", "[ 2. 1.06102 0.92863 0.67649] \n", "[ 3. 1.0196 0.90395 0.68185] \n", "[ 4. 0.9773 0.87001 0.69395] \n", "[ 5. 0.92542 0.85536 0.70188] \n", "[ 6. 1.0287 0.91618 0.67996] \n", "[ 7. 0.99776 0.89601 0.68482] \n", "[ 8. 0.95506 0.87979 0.69028] \n", "[ 9. 0.95912 0.85556 0.70357] \n", "[ 10. 0.9116 0.84213 0.70575] \n", "[ 11. 0.88703 0.82763 0.70784] \n", "[ 12. 0.84927 0.81854 0.71081] \n", "[ 13. 0.85036 0.81479 0.7128 ] \n", "[ 14. 0.98082 0.87497 0.69147] \n", "[ 15. 0.95896 0.87572 0.69266] \n", "[ 16. 0.95894 0.86377 0.69841] \n", "[ 17. 0.95678 0.86425 0.69365] \n", "[ 18. 0.93004 0.86835 0.69881] \n", "[ 19. 0.93132 0.86679 0.69871] \n", "[ 20. 0.9289 0.8438 0.70625] \n", "[ 21. 0.90753 0.84369 0.70675] \n", "[ 22. 0.86527 0.83652 0.71191] \n", "[ 23. 0.88072 0.81857 0.71349] \n", "[ 24. 0.84527 0.81106 0.71786] \n", "[ 25. 0.81415 0.80362 0.71935] \n", "[ 26. 0.77724 0.79865 0.71984] \n", "[ 27. 0.79264 0.79593 0.72143] \n", "[ 28. 0.77519 0.79751 0.72173] \n", "[ 29. 0.77812 0.79563 0.72093] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 26s, sys: 7min, total: 30min 27s\n", "Wall time: 20min 38s\n" ] }, { "data": { "image/png": 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\n", 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Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.38557 1.14619 0.59564] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e5784f4380f74759b921952a5eb2b4f2", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.2172 1.00715 0.64316] \n", "[ 1. 1.14248 0.97364 0.65169] \n", "[ 2. 1.11695 0.95135 0.65883] \n", "[ 3. 1.07557 0.93486 0.67143] \n", "[ 4. 1.02138 0.90637 0.68105] \n", "[ 5. 1.00519 0.90298 0.67976] \n", "[ 6. 1.04351 0.92113 0.67302] \n", "[ 7. 1.02742 0.9078 0.67788] \n", "[ 8. 1.01408 0.88842 0.68651] \n", "[ 9. 0.99154 0.87992 0.68998] \n", "[ 10. 0.95499 0.86702 0.69603] \n", "[ 11. 0.95086 0.85147 0.70109] \n", "[ 12. 0.92738 0.84287 0.70387] \n", "[ 13. 0.91638 0.84244 0.70496] \n", "[ 14. 1.01557 0.90427 0.68561] \n", "[ 15. 1.0169 0.88434 0.68641] \n", "[ 16. 0.98096 0.87993 0.69355] \n", "[ 17. 0.9812 0.87104 0.69941] \n", "[ 18. 0.97249 0.85646 0.70218] \n", "[ 19. 0.9625 0.8644 0.69911] \n", "[ 20. 0.95107 0.84487 0.70268] \n", "[ 21. 0.92236 0.84518 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 20s, sys: 6min 57s, total: 30min 18s\n", "Wall time: 20min 27s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "sgdw_diff = Get_SGD_Momentum(0.9)\n", "lr = 1e-2\n", "wd = 0.025\n", "loss_sgdw_diff, _ = experiment(sgdw_diff, PATH, [lr/10, lr/5, lr], wds=[wd/10, wd/5, wd], use_wd_sched=True, norm_wds=True, wds_sched_mult=f)\n", "save_list('loss_sgdw_diff.txt', loss_sgdw_diff)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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WM73fbC9jzElERERE9VRYWBh27dqFZcuWoVWrVhg1ahS2bNmi22flypVISEhAdHQ08vLy7B5LycV07NgRZWVlOHPmDA4dOoRu3bohKSkJO3fuRGZmJgYOHOjNl9TouTJPW6MhQQKLkBARERGRJzjLiHmTyWRCSkoKUlJSEB8fj6VLl+LEiRMoKipCeHg4Jk6ciIkTJyIuLg4Wi8XwGMeOHYPJZELr1q0BAAMGDMDatWvRtm1bSJKE/v37Y/v27fjuu+/Qv3//unx5jY6nSv43KOzdSURERET11eHDh3HkyBHr7ezsbHTr1g0PP/wwUlNTUVpaCgCwWCwoKyszPEZBQQEmT56M1NRUVJWvQHJyMl5//XUMGDAAgAjiVq1ahTZt2iAiIsLLr6pxY6ZNi7NrExEREVE9V1xcjKlTp+LChQsIDAzEddddh2XLlqF58+aYNWsW4uLiEB4ejtDQUIwfPx7t2rUDAJSUlCAhIQHl5eUIDAzEuHHj8OSTT1qPm5ycjOnTp1uDtrZt28JisbBrZB1g0GaImTYiIiIiqp+uv/56a6VHW6+88gpeeeUVw/vsdZNUJCUlVeuRlpubW6M2knvYPVJDSbSxeyQREREREfkLBm1a7B5JRERERER+hkGbgbP5+cy2ERERERGRX2DQpqEk2v75wYc4fvy4T9tCREREREQEMGizofaPzM/P92E7iIiIiIiIBAZtdlRWVvq6CURERERERAza7ImMjPR1E4iIiIiIiBi0aUmsHklEREREDcC6desgSRIOHTpkeP+ECROwdu3aWj/P9OnTsXDhQuvt22+/HY888oj19lNPPYXXXnvNpWNp2/TII4/ghx9+AAB89NFH6NGjB26++WYAwJgxY9CrVy+8/vrrtW6/I3/96191t12ZRDwsLMwrbWHQpqUJ2tLS0vDiiy/6ri1ERERERDWUlpaGQYMGYc2aNV59noEDB1on8q6srERhYSEOHjxovT8zMxPJycluH/edd95Bz549AQArVqzAP/7xD6Snp+PMmTPIzMzEvn37MH36dJeOVVFR4fbzA9WDNnsTlteFQJ89MxERERFRQ7ZrGnA+27PHbJEAXL/Q4S7FxcXYvn070tPTMWzYMMyZMweyLGPq1KnYvHkzOnXqpJveau7cufjvf/+LkpISDBw4EEuXLoUkSUhJSUGfPn2wa9cuFBQUYNWqVXj55Zexf/9+jBo1Ci+99BKSk5OtwdPBgwcRFxeH06dP4/z582jSpAlycnLQp08fw3Y6alNKSgoWLFiAzz//HNu2bcPPP/+MYcOGYcOGDcjPz0dCQgIWL16Mdu3a4YknnkBBQQGaNGmC5cuXo3v37pgwYQIiIyOxZ88e9O3bF3PnzsXUqVOxf/9+VFRUYM6cORg+fDjee+89fPbZZ7hy5Qp++uknjBw5EvPnz8dzzz2HkpISJCQkIDY2FqtXr0ZYWBiKi4tRXFyM4cOH4/z58ygvL8dLL72E4cOHe+A/1z4GbRoSZ9cmIiIionruk08+wdChQ9G1a1dERkZi9+7dyM3NxeHDh7F//36cPXsWPXv2xKRJkwAAqampeOGFFwAA48aNw/r163H33XcDAIKDg5GRkYFFixZh+PDh2LVrFyIjI9GlSxdMnz4d7dq1Q2BgIE6cOIHMzEwMGDAAp06dwo4dO9C8eXP06tULwcHBhu1ct26d3TYpXnjhBWzevBkLFixAYmIinnjiCdx1113IzhbB8G9/+1u8/fbbiImJwc6dOzFlyhRs3rwZAPDjjz9i06ZNMJlMmDFjBm655Ra8++67uHDhAm644QbceuutAIDs7Gzs2bMHZrMZ3bp1w9SpU/HKK69gyZIl1ufRCgkJwbp169CsWTMUFhaif//+GDZsGCQvjrVi0EZERERE5A1OMmLekpaWhmnTpgEARo8ejbS0NJSXl2PMmDEwmUxo164dbrnlFuv+6enpmD9/Pq5cuYJff/0VsbGx1qBt2LBhAID4+HjExsaibdu2AIDOnTsjLy8PLVu2RHJyMjIzM5GZmYknn3wSp06dQmZmJpo3b+5wHFhGRobdNrmiuLgYmZmZuO+++6zbrl69al2/7777YDKZAAAbN27EZ599hgULFgAASktLceLECQAi8GvevDkAoGfPnjh+/Diio6PtPq8sy5gxYwYyMjIQEBCAU6dO4ezZs2jTpo1b7XcHgzYiIiIiogbi3Llz2Lx5Mw4cOABJkmCxWCBJEkaOHGmYCSotLcWUKVOQlZWF6OhozJkzB6Wlpdb7zWYzACAgIMC6rtxWxoop49r279+PuLg4REdH49VXX0WzZs2qZc5s1SY7VVlZiYiICMNsGAA0bdrUui7LMj7++GN069ZNt8/OnTt1r8tkMjkdA7d69WoUFBRg165dCAoKQseOHXXvmTewEAkRERERUQOxdu1aPPTQQzh+/Dhyc3ORl5eHTp06ITIyEmvWrIHFYsHp06eRnp4OANZgIyoqCsXFxTWqKJmcnIz169cjMjISJpMJkZGRuHDhAnbs2IEBAwbYfdzgwYMN2+SqZs2aoVOnTvjoo48AiMBs7969hvvefvvtWLx4sXXc3J49e5wePygoCOXl5dW2X7x4Ea1bt0ZQUBDS09Nx/Phxt9pdEwzaNFjyn4iIiIjqs7S0NIwcOVK37d5778WZM2cQExOD+Ph4PP7447jpppsAABEREXj00UcRHx+PESNGICkpye3njI+Pt47t0m5r3rw5oqKi7D5u5MiRhm1yx+rVq7FixQr07t0bsbGx+PTTTw33mzVrFsrLy9GrVy/ExcVh1qxZTo/92GOPoVevXnjggQd02x944AFkZWUhMTERq1evRvfu3d1ut7skbZWWupSYmChnZWX55Lnt2b3+Jfx3l0W3bfbs2T5qDRERERHVNzk5OejRo4evm0F+yOizIUnSLlmWE509lpk2neqpNl8FtURERERERAALkegY9Y6UZdmr5TuJiIiIiBqy/fv3Y9y4cbptZrMZO3fu9FGL6h8GbU5YLBYEBDAhSURERERUE/Hx8XYrPJJrGI1oaRJqykBKi8ViZ2ciIiIiIiLvY9BmR4sWLQAAJSUlPm4JERERERE1ZgzaNLRD15TZ09955x0ftYaIiIiIiIhBm11K0HblyhUft4SIiIiIiBozBm06aqpNCdqIiIiIiOqbefPmITY2Fr169UJCQgJ27tyJiooKzJgxAzExMUhISEBCQgLmzZtnfYzJZEJCQgJiY2PRu3dvvPbaa6isrAQA9OnTx1pMpKKiAk2bNsUHH3xgfez111+P3bt3u9S2jh07orCwEAAwcOBA6/ann34asbGxePrpp1FQUIB+/fqhT58+2Lp1a63fD3tyc3Px4YcfWm9nZWXhj3/8o8PHbNmyBXfddZfX2mSE1SM1tIX9GbQRERERUX20Y8cOrF+/Hrt374bZbEZhYSHKysowc+ZMnDlzBvv370dISAiKiorw6quvWh8XGhpqDczy8/MxduxYXLx4ES+++CIGDhyIzMxMJCQkYO/evejWrRsyMzPx4IMP4vLlyzh27Bh69+7tdlszMzOt60uXLkVBQQHMZjPWrFmD7t274/3333f5WBaLxe1zeCVoGzt2LAAgMTERiYlO57qucwzaNPIvqRNpc242IiIiIqqNL7/8EmfOnPHoMdu0aYOhQ4c63Of06dOIioqC2WwGAERFReHKlStYvnw5cnNzERISAgAIDw/HnDlzDI/RunVrLFu2DElJSZgzZw6Sk5Px+eefY8qUKcjMzMTkyZPx3nvvAQC+++479O3b127AdO7cOYwZMwYFBQW44YYbIMvqOXdYWBiKi4sxbNgwXL58Gf369cOYMWPw5ptvoqSkBAkJCdixYwe2bt2K2bNn4+rVq+jSpQtWrlyJsLAwdOzYEZMmTcLGjRuRmpqKpKQkPPHEEygoKECTJk2wfPlydO/eHRMmTECzZs2QlZWFM2fOYP78+fj973+P5557Djk5OUhISMD48ePRp08fLFiwAOvXr8d3332HadOmoaSkBKGhoVi5ciW6devm5v+YZ7B7pEZeYaXhdu0Hi4iIiIjInw0ZMgR5eXno2rUrpkyZgm+++QZHjx5Fhw4dEB4e7vJxOnfujMrKSuTn51szbYDIjg0ePBhmsxlFRUXIzMxEcnKy3eO8+OKLGDRoEPbs2YNhw4bhxIkT1fb57LPPrJm+Z599FnPnzsWoUaOQnZ2Ny5cv46WXXsKmTZuwe/duJCYm4rXXXrM+NiQkBNu2bcPo0aPx2GOPYfHixdi1axcWLFiAKVOmWPc7ffo0tm3bhvXr1+O5554DALzyyiu48cYbkZ2djenTp+va1L17d2RkZGDPnj2YO3cuZsyY4fJ752nMtLkgLy8PHTp08HUziIiIiKgecZYR85awsDDs2rULW7duRXp6OkaNGlUt4Fi5ciUWLVqEc+fOITMzE9HR0YbHUpIXHTt2RFlZGc6cOYNDhw6hW7duSEpKws6dO5GZmYmpU6fabU9GRgb+85//AADuvPNO69Rarvr222/xww8/WAPDsrIyDBgwwHr/qFGjAADFxcXIzMzEfffdZ73v6tWr1vURI0YgICAAPXv2xNmzZ50+78WLFzF+/HgcOXIEkiShvLzcrXZ7EoM2F/jyP4iIiIiIyF0mkwkpKSlISUlBfHw8li5dihMnTqCoqAjh4eGYOHEiJk6ciLi4OFgsFsNjHDt2DCaTCa1btwYADBgwAGvXrkXbtm0hSRL69++P7du347vvvkP//v0dtqc2Q49kWcZtt92GtLQ0w/ubNm0KAKisrERERIR1XJ4tpbuockxnZs2ahZtvvhnr1q1Dbm4uUlJS3G+8h7B7pAuCg4N93QQiIiIiIpccPnwYR44csd7Ozs5Gt27d8PDDDyM1NRWlpaUAROGOsrIyw2MUFBRg8uTJSE1NtQZcycnJeP31161ZrgEDBmDVqlVo06YNIiIi7LZn8ODBWL16NQDgiy++wPnz5916PUpwePToUQBiSq4ff/yx2n7NmjVDp06d8NFHHwEQgdnevXsdHjs8PBxFRUWG9128eBHXXHMNAFjH7/kKgzY7tNG3vasPRERERET+pri4GOPHj0fPnj3Rq1cv/PDDD5gzZw7mzZuHtm3bIi4uDn369MGNN96I8ePHo127dgBgLfwRGxuLW2+9FUOGDMHs2bOtx01OTsaxY8esQVvbtm1hsVh0ZfuNzJ49GxkZGejbty82btzo9rCjVq1a4b333sOYMWPQq1cv9O/fH4cOHTLcd/Xq1VixYgV69+6N2NhYfPrppw6P3atXLwQGBqJ37954/fXXdfc988wzeP7555GcnOzzeEDyVZGNxMREOSsryyfPbc+7S/6CvHOiGMnkyZPx9ttvAwAefPBBdOnSxZdNIyIiIqJ6ICcnBz169PB1M8gPGX02JEnaJcuy0zkGmGmz4ze/+Q3uv/9+AMy0ERERERGR77AQiYZtzlGpbMOgjYiIiIjIMaUipVZycjLefPNNH7Wo4WDQpmHbU1SZIJBBGxERERG5SpblWlVLrK+UipRUXW2HpLF7pAMM2oiIiIjIHSEhITh37lytT9Kp4ZBlGefOnUNISEiNj8FMm4alUn9bCdoqKysN9iYiIiIi0mvfvj1OnjyJgoICXzeF/EhISAjat29f48czaNMot+iviChB2+XLl33RHCIiIiKqZ4KCgtCpUydfN4MaGHaP1LCXafv666990BoiIiIiIiIGbTq2vSBDQ0MBgHNtEBERERGRzzBo0wg0Vd/WvHlzBAcH131jiIiIiIiIwKBNp31LEbX97vZbrNuCgoJQXl7uqyYREREREVEjx6DNQHBwkHU9MDAQFRUVPmwNERERERE1ZgzaNKzTaWiKSDLTRkREREREvsSgzYB2Antm2oiIiIiIyJcYtGkM7G5GmKkIXTpfa90WGBjITBsREREREfkMgzaNNi1MeKrzq2japIl1W1BQEDNtRERERETkMwzaDKmD2kpLS1FYWAiLxeLD9hARERERUWPlNGiTJOldSZLyJUk64GS/JEmSLJIk/d5zzatrUrUtx44dAwD8+OOPdd0YIiIiIiIilzJt7wEY6mgHSZJMAP4GYIMH2uSXTCZmG1vFAAAgAElEQVSDmbeJiIiIiIi8zGnQJstyBoBfnew2FcDHAPI90Sjfk6ttMZvNPmgHERERERE1drUe0yZJ0jUARgJ4u/bN8bWq7pFH3rJuue+++wCAY9qIiIiIiMgnPFGIZCGAZ2VZdhrVSJL0mCRJWZIkZRUUFHjgqb1k75+tq82bNwcAVpAkIiIiIiKfCPTAMRIBrJHEjNRRAH4nSVKFLMuf2O4oy/IyAMsAIDExsXofRD8UGCjeImbaiIiIiIjIF2odtMmy3ElZlyTpPQDrjQK2+kopQMJMGxERERER+YLToE2SpDQAKQCiJEk6CWA2gCAAkGW5AYxj05Cql/xXMm0M2oiIiIiIyBecBm2yLI9x9WCyLE+oVWv8ELtHEhERERGRL3miEEmDpnSP3Lp1q49bQkREREREjRGDNieUTNulS5d83BIiIiIiImqMGLTpVB/TpmTaiIiIiIiIfIFBmxMBAXyLiIiIiIjIdxiRuKhJkya+bgIRERERETVCDNpc0L17d4SFhfm6GURERERE1AgxaNOpPqYNEOPaWPKfiIiIiIh8gUGbCwIDAzm5NhERERER+QSDNhcEBgaivLzc180gIiIiIqJGiEGbC8xmM65cuYL//e9/vm4KERERERE1MgzatCTjMW1msxkAkJWVhcrKyrpsERERERERNXIM2lwQEhJiXT9w4IAPW0JERERERI0NgzaN3Au5TvdZt26d9xtCRERERERUhUGbxsH8g4bbf/rpJ+t6+/bt66o5REREREREDNq0ZDvbr7/+eut6hw4d6qYxREREREREYNDmkq5du2LixIkAgL179/q4NURERERE1JgwaLPnXJbuppJhCw4O9kVriIiIiIiokQr0dQP8iaQt+V9yutr9nTp14iTbRERERERUp5hp09CNaVMCOFndGhoaitLS0jptExERERERNW4M2uySgAPzgLQA4EMJqLQgJCQEJSUlvm4YERERERE1Igza7JKAfTPVm2XnEBoaipKSEsiyvTqTREREREREnsWgTUOCpN/QeaK6LlsQGhqKyspKjmsjIiIiIqI6w6BNR9avm6PUm2XnERISAgDsIklERERERHWGQZuGLs8mVwBlF9Tb/4tFaGgoALAYCRERERER1RkGbTqaTFtlGfDTct29StDGTBsREREREdUVBm0aujFtlZZq94eagwAwaCMiIiIiorrDoE1Hk2mzVA/MQoLE/eweSUREREREdYVBm4ZuTNvOSdXuDw2qAMBMGxERERER1R0GbToG86/FzbauBktlkCSJQRsREREREdUZBm0a1eZpA4CgMGDwp+L+X7+DLMvYtm1bHbeMiIiIiIgaKwZtOgaZtgAzEBAs1nc8VLfNISIiIiKiRo9Bm4Yuz9a5akybyQzIlb5oDhEREREREYM2LUnWZNou/iCWAWYgvEvVenDdN4qIiIiIiBo1Bm1akibXdu5bsQwwA826AUHNgA73o1OnTgAAWTboSklERERERORhDNo02pSfrr7RVJVda9IesJQiOFjczsrKqsOWERERERFRY8WgTaNZxcXqG5UukaZQwHIFly5dAgAcOXKkDltGRERERESNFYM2jQAYFBy5clIsTU2AiisICQkBAJSWltZhy4iIiIiIqLFi0KYhGZX8rywTy8AmgKUEQ4YMAQB07NgRlZWsKklERERERN7FoE1DMiou0n64WFZ1j2zZsiUAYOvWrVizZk0dto6IiIiIiBojBm0ahpm2pteKZVX3yMDAQOtdHNdGRERERETexqBNo1Jy8HZUdY+UJMn+PkRERERERB7GoE3jkinC/p2mUKDiCgAgKiqqjlpERERERESNHYM2DcPqkYrAJkD5RaDSYp2rjYiIiIiIyNsYtGkEyBb7d145CUAGvuilG9dGRERERETkTQzaNALlCv2GESfV9dzVYnnxB4SFhVk3y0YVJ4mIiIiIiDyEQZvGt80Go6gSKLt1O5D0FtDkGvXOrqnWVW0xkmPHjtVlE4mIiIiIqJFh0KZxPOQ6NPsJkCOvB2Im6++87g/W1aahQdb13bt311XziIiIiIioEWLQ5ipTiHX11s6n0a9fPwBAdHS0r1pERERERESNAIM2A7LRJNsBZutqUHAQbrvtNgBAWVlZXTWLiIiIiIgaIQZtGg4nzm6qyahJQTCZTAgMDMTVq1e93zAiIiIiImq0GLS548Z1YhncHABgNpsZtBERERERkVcxaHNHs65iebUQAIM2IiIiIiLyPqdBmyRJ70qSlC9J0gE79w+XJGmfJEnZkiRlSZI0yPPN9BPKuLadjwBg0EZERERERN7nSqbtPQBDHdz/NYDesiwnAJgE4B0PtMun7E6YHRCou2k2m1FaWloHLSIiIiIiosYq0NkOsixnSJLU0cH9xZqbTQGj0ov1gwQHhUgA2Ma4x48fhyzLsFgsMJlM3msYERERERE1Wh4Z0yZJ0khJkg4B+B9Etq1hMkfqbrZs2RIAcOXKFV+0hoiIiIiIGgGPBG2yLK+TZbk7gBEA/mJvP0mSHqsa95ZVUFDgiaeuW4FNgdaDgVbJAICbbroJANhFkoiIiIiIvMaj1SNlWc4A0EWSpCg79y+TZTlRluXEVq1aefKpPcpwcm2FqSlgEcVHQkJCAAAlJSV10SwiIlJIkvi3bJmvW0JEROR1tQ7aJEm6TqqalVqSpL4AggGcq+1xfcHh5NoKUwhQKYK24OBgAEBeXp43m+V9o0aJk59vv/V1S4iI3POHP/i6BURERF7nSsn/NAA7AHSTJOmkJEkPS5I0WZKkyVW73AvggCRJ2QDeBDBKtlt+sYG4IGY/iIwUY9yOHz/uy9bU3r//LZYDBvi2HURErrh0SX+7stI37SAiIqojToM2WZbHyLLcVpblIFmW28uyvEKW5bdlWX676v6/ybIcK8tygizLA2RZ3ub9ZvvQyXUAZKDiMsLCwgAAR44cQXFxsePH+atnntHf/vprQJaBgwd9057GrqLC1y0g8n/Z2frbL77om3YQERHVEY+OaWsoXEoUXtX3AD1x4oSXWuMFV68CU6YAZ84Af/+7/r5bbwXmzAHi4thdsq499xwQFAQcO+brlhD5t8JC/e1583zTDiIiojrCoE3D+TxtAIIixPLCKd1ms9nshRZ5yZdfAm+9BYwda3z/3Lli+cwzIutGdeNvfxPLf/7Tt+0g8ndHjuhvWyy+aQcREVEdYdDmrl7viOU7AwGoZf/Ly8t91SL3hYaKZXq64/22bhXdJbXS04FvvvFOuxq7vn3FskMHddu33wK7d/umPUT+6rnnfN0CIiKiOsWgzV3Hq7pFxohFfHw8AODjjz/2UYPcVFwM/PnP+m0bNwIZGcb7nz+vrssycMstQEqK15rXaJWXq8GZNpgeMAC4/nrftInI323erK5v2eKzZhAREXkbgzYDDudpK2uurldWWOdqq6iowMWLF73csloaNw4IDweysvTbw8KAG280rsAWHi6WpaXAunXqdnZH8iztXH/sHknkmptvBpo2VdffeUd8VxERETUwDNo0is8XA984KURSEayuX85FqNLVEEBZWZkXW+cBH3xgvF1pt9E8dcp9oaHAvfeq27UZOHtefhno1s29NjZWV65U36b9/6jv00oQeVJSEjB0qFi/fFnd/uijwPDhNTsmx+8SEZEfY9CmseYva4B04Pvvvre/06UiIKdqvTQfAQHqW1g2axbwj3+IG1lZwMmT3musJ91wg7r+449Amzbqbe0JkdaHHzo/7owZ4nishujcvn3627m5+tvMHhAJFy4A338vCioB1S9Gbdzo/jHvuAMI4M8hERH5L/5KaVwtuQoAsPx4xP5OmzcDa6rWy0V3yBuTkwEAZRs2AE88AXz1lbgSHB3tzeZ6jiZbiJgY4PRp4IsvxO3iYjFFgC2l0qErunQRASy7VNp3++1i2b27WHbqpL//v/+1/9hNm9SKn0QN3fc2F9V+97vq+7g7b6YSABIREfkpBm1aSu+YJ6er21avBpo0EV3VtmwB3n8fUOY/tlwFHnsM3R96CABQFlzVdXLIkLpqsXuqxt8BUIMEe/r1E8vHHtM/TvHLL+49d3Q0cNdd7j2mMdJWjtR6+mnxGZQkUVFy1Srg11/FfbfdBsyeDeTkGD/21VeBkSO9016iumb7/dqiRfVxoGfO1OzYRuN6iYiI/ACDNg2pakyDfEVTFOLBB9UiETffLJaBVfdtHQksX47gqnFf1qBNKz1dTPy6dKmXWu0GbRe7SZPE8o9/NN5XKUDiiL153uz58ksRBPt7wRZfKihwvs+AAcD48cC11+q39+xZfd/8fOD//g/45BPPtI/IXzzyiLqufE+3by9u5+fX7Jh5ebVvFxERkRcwaNOyrcNh76prT33GyGHQdv48MHMmMHmyBxpYC4cOqesLFwL33y9e36JFxvsHBhpv10pLs18gQ/t8Wg8+CEREAEVFHPivULqNJiYCf/2r/j5HQZwrXcCmTVPX/SmLUF4uCtUYFWAhckVqqv52SAjw6adivaZB24MP1q5NDd3XX6vFqYiIqE4xaNOyjSG0Zdi1kvoBxwDsETeVoO2q2Vx9X23FRV86cEAsb74Z+NOfxLpRtUhHgoOB3/5Wv61jR+N9d+1yfKxmzYA5c9x7/oZK6WqalaUfXyjLQFSUyKo5omQXbJ08KQJrxaVL4pglJaLowtatNW/zM8+Iz09NA+/33xeFapRy7USuuvFGID4e6N27+n2/+Y1Yuhq0rVgBZGert7dtq337GqoPPwRuvRUYPbpmj5dl8V23c6f931YiIrKLQZuGpUJkPIolAG+9Zf+HJSIC6Aygj7hpLitDYHk5imbPdvwE9iawrgtjxojljTfW/BilpaLIitJN1BFXrlizeIZw4YJYzpgB9Okjuj1qA6r33lPXlbGGgBrgKZ9T2+Iltie1mZkiWGvSRJxADR4M7NlTs8Dr738XS1eqiBqxl4klcub8eVHcyEirVmJpOxelkbNnRRfLPn30220LnZCgdGuvyfdFUZH47rnmGqB/f/EdREREbmHQppF3+BQAYF4FgClT1JPhe+7R73jjjWoxEoixcE0vX0aJs6uHN93kuca6a9gwsaxp95+JE9VCGLbj4L7/XlRwmz1bjOHTZvCUUvbKVAhaTz1Vs7Y0NL16ieVNN4kMZG4uMGiQfp/33hNZs2+/VbeVlADr1wPnzonbP/8sTkKV/2ulUIlixYrqz923r/ulzpUgE7Bf/MSZV1+t2eOocbNYRK8BJaNmS+mivnw5UFFhvI/C3tjaxjr+89Il8d39+uvG9ytzc27a5N5xV68W32tERFQrDNoMWGcmU4KwkSNFhkkRFwe0eQjQ1PVocuUKrly5ogYs9n6kyss93VzX/Oc/YhkT4/pjCgvFmCpZBt59V90+YgSweLF6+4YbxBQBc+cCt9yiP0ZcnHj8448Df/iD/r6DB8Xyl1+ADRuAw4fF1e/GylFXwfHj1W5Jb7yhbr/7bv1+K1aI6QGMur4qn4HaeuUVdX3ePNGFsza0QWBt/Pwz8MAD7HrVkCmfvb17ne87bhzw+eeiK64Re3MfRkbWrG31nTKtyJNPVr9PloF168R6cbF72TZ/HSdYWiq6ahIR1RMM2gxYf46UQg+hoaIvv8JkAgJ/AUIAXAPggw/QJD5eBG1nzwJDh9ofG2FUrMRftWxp/4T8iSfESZEjJpM+eAgL09//5Zfiqu0114j3rHt3/cTejc3Aga7tN3Uq8M03+m2OxifaVpk0YhtQ23P5cvU5+s6ds1+QxohtOfYWLUT7bQulbNkitjsbH6l49lnRXXP9etfbQvXL//4nlq5kh9esAe68E5gwQXxGCwv19xcV6W+vXCmWRlOc/PyzyEA15OJJ2i7ZSlZN8fe/67uc2r53NeHrIkRPPy26ah5xMC8rEZEfYdBmwPqzrJTFVzIB2kzIr7vF8re/AR54AE3atRNBW6tWIusUH68W/7j/fv0TaKtvXbrk/cyAMtDe3jiQmpAkMVeY0cS2CtvJtJX3Q+u22zzXpvqqeXMRBLtTGMY2wHv4Yfv7/vyz8+MtW6bPptpjr3LcBx84f6yibVvj7druarKsjp1Uumv9+qvjrmtKdtv2740ahqtXgR07xPpbb7n32Kgodbybwrb6auvWxtsB8ff15JO+rwLsTcnJ6rptV37bCye2AbCrtO+fr4sQKa9JexFp5Uq1BwgRkZ9h0GbAGrQpXXCUk8ncXPEPAAZWnaS+LLrehIaGVh/TFhsrTj4nTNBv37ED6NYNOHVKnLDbDoT3NOVHyRvjiOxVLgREpk1L6VLprAjFiy+KjE5jqeR25Yr7Yz4CA8WVYoW9Ll1mswgGN2xQt23YYFxd7+GH7U8BobA3TmjmTMePM2LblVZ7dX//fnV99WqRYWnZUnRVtjcNArtFNmzak2tH2eP58107nm1wFh8vlkafr/R0sVy2zLVjG3n/ff2Y1Jwc/8jcZWeL16zNfO3fDxw9qt7+97/FUslGXrrk2rFtX99bb4meAgpfZtsuVw2EWLVKLCsrxYXaxETftYmIyAEGba5QCm9ERaknCyFV3fi2DAUANGnSBKWlpbDYZpeA6ld4R44EfvxRnXD78GEvNFpDOZl1pZucuzIz7d9n24UvJkb8iHfr5vhkZc4c0ZXyxhvV7lANVVmZGOdo23XUFdqT0wkTgM6dq+/zr3+J5ZAhIvMpy2K9VSv9lXXFtGnVC5go9u3TTyFw9Cjw5z+7326FbXVLbZBuG1TepZkb0V4BiZpWsqT6QRu0Ofp70V7McOTkSf3t6GixdHZxy1mBE3smTAAGDBAXUSZNAnr2FHNm+lqfPkBSErBxo367cnFNmZIEEF3ZAdeDNqMLKdou97bdMOuScqHsnXfE8rXXxNLeWEciIh9j0GagWjhhNNF0cAvdzSZVJYwNK0gmJorxOQrlh+ovf6lxG92itMkbZZaNMjO7d4srqq6O0XLkp59qfwx/plztrW1XoWbNqld9O3oUGD5cvW07Dmjz5uqFTACR0bINqp95RgRZyhx/I0aI7rYvvaTu4ygQHzlSnKwmJKjbvvhCv8/48eKEODVVf5XfllFQaVvAxl5gR/WXkuWaO7d6Fr8mtBPP25OZKYqZKBVZgepzVbrC9m9DyVgZFf2oS0phrOPHqxcqUjKRSqAGiJ4hgOtj2pQMnZa2GrNS+dYXbHtyuBrsExH5CIM2A7qRRf37G+8U1lEsw7sCEN0jATtBGyCyGl27eqR9blPGgWgnbvaUW24RmULteLVrrxVjF9wZoyXL4iq0LaPMZUOinBjVJNOm1by5yEaNHSu63cqy8zGMwcHA2rXGUwHYdltS5mVTaANy5XN1+LD9LJ0yFk1b9c+o6EyvXsCbb4pqo/YcO1Z92549+ttKpTtqOJQxlxMnOt/XtuutQunmOGuWfrttEKhUFUxOFsVMLl9W71Pm2yws1Adjly+Lv6fg4OpBjdE4OYUninpoffKJ+O51Vol3/nzjwli7q8ZrZ2RUzzop2SlXL4oY/V/FxYkpGQAxTYw/sP1+IyLyQwzaDOiuiZ46ZX/Ha4YBJnHCqmTartjrox8Y6Hh+G2+ObViyRCzDw71z/K5d1Suw7jyPMuG34qGHqu9T065I9UVtM23XXy+WYWEik7Z6NdCuneuPDw4WXbW0/3+A8+5P2oICSgbk7ruNs3T2PttTpogr7dqTS9t534wKP9h+boDqlSeNsuPUMNgrZKOlZJhtLwzce6/4rGgzxGfPVu+ml5env33ihLreu7cIilq10me3H3oIuO8+kb1q1gy4/XY1m+NoWgt7RVV+/tn5919FhSjVr/0bU8YOK3NkGvnkE1Ft1Ygyb+Rbb+kv9H37rfo94ej7YdEiEexqL7jNmKEfz6cMGcjJEe+tp6b9qKlnnlHXG+uUD0Tk9xi0GdCd/tn+eGsFNQfKxY9NUFAQAKDc0Txs0dH2uwzWRXeuiAjvHVs72W3Ve+GUMk5pxAixjIurvo/tuDhHNm6s+WTPvlLbTFtWlmcCfmUcj3JCrJyUff+9GINoSxuYK9k1pUuj7Qnd5s3VH//f/4oT3MhIx/O8vfmmaxlqJVuhZOhsgzhqOFzpGjlpkuhuu2+fvgv3+fP6rNfzz4uqkcrnWcnE2fZKOH5crUqqzRZrx9zadi/cuFGMywVEF0t7jIKnmBgxRtXZd+mtt4qum488om5TukEr1RG3bwfeflv/OHtj6WbMMH5/77gD6NdPzbQ9/riYE9HItGmiW+l776nbXnpJPF6hVB0+fFj0zGjRom6z40aFmBSOimsREfkQg7baMEcBV0Xp44CqH8pCZ6WQN28WA9L37VODFUD8aPlDJbGacjVQ0xo8WCyVcVKDBlXfx51CJLffLgb31ydJSWLpja6r7nj4YfH5U7JmShB0ww2iaI4iN1c/PhMQ77uW9gp/fr5+jkOFdpxMQID9aQkCAkTXxzlzjCvNffGFyJQoJ+LK1Acs292wKBknZ3NDKsLCRNDQqpUoJKX9btVmdWx7Uiify19/1c89WFYmsrd9++r3t1hE1s1ZQRF3pwpwNKYTUN8P5bVop+tQenQ8/7xYDhpUvbuxvR4k2qIjWsrfZ5MmalDnrPCPNpC07Spv9Htxzz2uFzhxV1aWPltqO1ckIL6Dx44V31+SVL9/j4moQWLQZsDljlVBzYCKy4BciXNVA6o3aEurGzGbxSD0+HhxZVE7safRD0l98t136pVqV7RvL34YU1LUbbGx1QumOAqE33lHrZBYn2nHzPiSozErL70krorbzuFk27VTCcYBfddH7RVs2+6YHTvqiz0AasGHJk3E2JfQUPWzUV4u5u363e9EFzilEquS8Z0/X/w7fJjV4BoC5SKC0h24Jh59VHw+1q5Vt02Zot9H+fycPSs+k1offiiyw1pKT4Dp0+0/77PPqhemakIJ0CwWka2SJBH0PP20Puu3YYM+OLINFLXZZ3vTzCh/K7bdRZUsoiTZH2f89dfG45hdmQhd4WzKkZpKShLZS4Xy/6X9LJSU6L/LbLOTREQ+xqBN46Yhoi//EO27cscd9h8QWJUdsZQiRvODILtzhe6669R1R4PVa0r5obY3fsGTkpL0AVhN7NsnTtC0xTHsTRx99ao4ERs9Wn9iXhev1ROuXlXXtV2HfEnpQvuPf1S/b8YM48eYzfrbt98uMgVr1wJvvKFu117ptp0GA9CPD7JYgK++qr5PixbqsbSV577/Xiy1XS2ffRbo3l1kC6l+Uy4iuDufoVZEhAjGnnpK3O7fX810K8LDxcUBowtoyck1+26ZP18ENID97M2dd9p/vBKYnT4tLowpFizQ7zd0qP627YUgbcGTjz7S3/fEE2KpfI9GROh7PvToYb99ivffN95uryvi+PHVt9kL8NLTXSuuIkn2C2CVlanrSpdt7f/Hb36jv2A4Z47j53Jm7Vq1ABMRkQcwaNNoGiZOPt/UXki8+Wb7DzBVfcFbSqzVIwHgF3tdTJxRqjx6ktLdpL509QgIEP8mTVK3KSfktrQnA9ruhfPn14+pArTzImnHBPqSErT95z/q/EWAKP5h72TI9kR6wwZxVfu++/TH0D7eqFiNcsLUqpX4DBg9nzL2rnt3fZZaERJSfZt2om6qn5SgzTZD6w7bLM4//1k9SJAkkXExmqttyRL3KuJqi6Boq+sqtIWpPv9cHTNnS6l0aXQRw5FTp/QXApWulEYFSv78Z3HxS3vhJD1djME2GpOq2LBBPLaszH7A1bKl8XajQFUJJsvL9dk+pRpomzauVRTWdrfWBmu2WrdWg829e/XfS47GvbnivvvEVCeuZPoXLqze7ZyIyAaDNg3J6AfZ6CRQUVU5EhX6sTbvaE9U3TF+vOe7SCqFOWr7A+QLP/wglqdP67NSCttuelq+nP/HVcoVf+Uqtz/QFqvRziOojHUzYjaLjK4s6+dh01Lmg+vUyf5xWrYURU+UcuBGlGkMKiocV2OlhkW5wFGbMU+2Yy9drRI4c6Yo6mHvs21r9WqRqXaWnUpKEt3kFR99JIoxZWXp9/viCxHAaC9kuWLzZn0QsmCBCOJsJ7UHRDCUlqbvEhoYKIqYOLpwOXQo8Ne/iu8Ao0xbhw72H6ttm1KoRckqjh8v/n+MfpPT0uwfU6Gdg01bTMy2QNHgwaLqpyyLC2ct9POvWicYt1VZCXz6qWsFj5yNTwREd01H7zMRERi06RheKLTt+qVVUjWY+6x+HFdXd+dj03YVsx1LUFvKoHHbsRj1gfakx2gON3vFKwD/6W7oSHKyWDoaD1PXtFUsle6My5Y5r26pnFzZ+/x++qlY7ttnv7x3UJA4SdJOCG4rMVFd15Ztd6QmRXLIvyjfkUbfA66yre5oL2unnTJj+nRx8UJbgOTECXERTJmDLCpKnTD63/8WxSwef7z6507JSK9bB7zyirj92Wf6fQ4eVLtsasekeaIM/ZIl+kBJO2bLnQxiZaXjYAwQvzeFhY4LAml7pERHq+vdulUPzLTf50oxmrQ0NajatEn/GrRTfmi7ehcUqJk3o8zmxx/rb/foYRx0vfmmKCRmr5Lp6tXqurPiZI4ygUREGgzaNAIkg7fDUebrmrt0N1tVnVj8qK225wrt/kYZpdpQKu7ZFveob2wnT24ImjUTwZCzSbDrktGVC20VOGeUk1dbyglVWFjturg5cu21Yrlpk37qB+24UaqfSkrEsjafHdu5++ydcGuLSRkVxoiOFkHkc8+J25IkAqKpU/UXHGyLprzyiliOGKGOjdMGK7aMJr42UlmpD1hcndrlD39wbT9bklQ9G2hr8WKROXd0sUfJvgP6Hi22v5+lpepk51pjx6oX9m67TX+f9v9Qe+yTJ9XfdKOqtt27V99mVFzM2W+89r111stFmTKFiMgJBm0ahgVEHM2v07Sqq1eZ+NKd5G73FYX2R1bbrcMT6v3HRWUAACAASURBVHvQ9uij6roy75BiwAB9pUKgfs3P9csv/jknUG6u/rY7V+GffNKjTTH0wgv62++8A6xapbb7t78VJ1/KSXpOjvOTTPJvytgso7GQ7jh6VAT1jsYPaSfvdvR9onxvd+okHvPGG/pA64UX9Bkjo2M5mnNu3Tp98R6FLItAZuVKNWDbvl29//x54Pe/t39cQC1ScvRozf42nP2etG7t/BhRUcCDD4rMWZcuIug1YjS36eHD6rrR99P774vAceFC0X1TceqUGrQZTdL+5pvAyy/rp5pJTVWndnBl3j1AXwRm7lzH+2qDNm0BLiIiGwzanBk71v59wRGAZLLO1RYSEoKuXbsiIiICGzduRKU7AcTLL4ulvR+umlIGe/t6HjBP0HaNy80VhVsyMsRAeEDMyyRJarZHKZXtr86c0Rcr8BfXXqtecdbOJeiK9u3FeEJZFtmRI0c8P52B7d/kww8bz9+lnejeqFId1R9FReJvu7YXn7p0EUG9o/Gw2syMtliQrVatgLfeAtassX+c0aPV20om2Na//62O39V65pnqmbi4OLE0m8V8n0rA0q+fyOwpWSFnF1qU97FLl5pNo+Ds98SVCz2SJIrBrFol1u0Fmka9LGwv4Bn54x+rdz0/dUotCmP03RsSIjKotlWjlcBq2zYRCB47Jm7bjoEz4mzOyP791XV3ejUQUaPDoE1DrhSZtpsSNXPY2OvuBQBSAGBuCVwtsG4KDg7GhQsXsGPHDhwwqhhmj225Zk+rr5k27VVSLW13mZdeEkGCcmKujF3x97FMZ874T9VIW1lZ4oRzyRL3H6uMvwkJEV0TPf3Zs50XzhGlGp7ROLnSUu9Ms0GeV1wsutq5k/WtKe04Zttud1qSJMadOSquo2XvO/6++0Q3P9sS80bdeu1NQRMQIP5mhwwRt2fNEnNerlolCjlpu/hps3I1FRAgxmLZXpgcMaLmlYqVLJYrHnjA/n3abpe23npLHVPrqGuqJAFbt6q3p01T17WBoNEY3m7dxNKo4IutM2f0UzEAYgycdmJ3IqIqDNoMhGqvtGrnfTJSmg8cVSvrBWu6x4Q5K96g5Wxgd23V16AtKkr8gHXsqP9RV06sjDJB2vEE2nmN/M3Zs/4btDVtKrp2XXONr1tSnfbE3VF1V0A92VIy2VqhobXvbkd1o6io7v6vAgNFlzjtSXttfP21yPrYjqmzNXu2CHhOnRJZNmVyecUTT9i/iGUrPl5klMaNExkl7W+RUXfDmggKUif6BkT30HXran48SRJBUFyc+O45fVp//9q14n1xpLIS+O9/7d+/f786IbrRXJFagwaJkv2AmFjdHu3UI2Vl6ng3Vy4wGBUpadVKX8VTll2b5oCIGjwGbQYqtVcKHVWPNKAdF/fPf/4TJcoAemc8UR3MkfrcPbJDB3ElWnkvS0rUH9P586vvry1V769VJC0WcSLqSvca0tMGkgUF9vez5+RJfXU38n9Kpq2uLF6sn1y6Nm65xbigiT3t2gF/+5saDJ06JbrNv/GG88DPHqXqpqPgo6beekssPVChuLJZBNLf2I9fh4zWXzDdvh249177xVPuuEN0o5QkdU43Le10BErFTnvzymkpr80RbfVHbVfwf/5TXX/8cRFwjxmjf6yyf0JC9Qt4ShbvgQfE/7syjU1lJTBjhvgeI6JGhUGbhhJwybKsTmjqanecSnElbI9N//tdrvS9r94Q9x/jjLcq9tWVJk3UoiraMtlGE7e2aqUvYOKPJZWV11KXJ6INydGjYsoHV96/xET9CVpqqiiAQPVHDTNt9akukV3t2omAzZUgwx5JEr8rtkGDiyoqRPJOSVLpPPywOLYHxufOmydirpYtoQao7dur2UF7lTE//FCdR0/57QbEb8G5c2Iutppw9LupHDMuTgyjKCoSmTxFz57q+ttvi7HXa9aoY61XrVLHsy1ZAkyZoj/+DTeI91UpZqOMd9u7V/QccDTenogaJAZtBmRZFhWf3AmeqipIxsTE6DaHupPhUubxse3jXhutWomrfHUxFsSbtEHb3/+ubrf3I66dDLplS+Dbb73XtppQxlIxaKuZLl30XYgcSUkRZ+8XLoi/A2XOOIW/F6wh8Z3o5t/Knj2iOKNSab+uXLrU8IqVbtwoelumpHj3ed5912bDhQtq0Q+gehB15IiYRFz7O9C5s7qen6/2YnEn26kICbHf5TM2Vl1ft078fmsL3AQEALt3V3+ckl3TFkeKjgb+9Cf9fkeP6nuNfPKJuFCl/JZ7qvsuEdUbDNq0qmK0SneCtZCq0sbHxdWw7jbzvJjd6V6pFE3w5LwtpaXOx/3UB6GhavdIbfbSlavPxcW1m5TXG9KrJmT/6SfftqMxyMgQS3tdUS9erLu2UM1s2ya+y1z07bfqfNjPP2+8z4YN4vzX3Wk1nRk9WsyPrVxjqi+uXhUFKbUxkmLVKnX91Ve91wbteybLEEGatqCU7RQJ110H3Hyzfpu98eHarvJGBUTsGTFCBI8vv6y/wKOdhN3W4sVi2adP9fuMih916CBeq+0Y4tmz9bfnz3dejbeszL3XR0T1BoM2LW33SFfFVpWbvyL6l19j86Vb5k7XPKUP/+nTnrv6X1Tk+iSt/qxJE1G4Qzs/z5dfOn6MMvGqP1JORBxVOiPP+L//c3y/Uk2O/FdlpfEEy3Y4q7IOAAsWiGVNe87Z88UXYulOkVN/kJkphn516VL9Pu20a87+nGpDWy/L7pzUSobL0fg8o9887Rg5VycgVzRvLqYC0AaNnTsbT7wNABMn2j+WbdD28cfq+tGjInvYubPoj2rr6FHjoG/TJqBXL3FhY9gwkV2sSeVfZ4YPr96Nk4jqDIM2DeuYNnceFF5V3jfn70BpIZra/FKXunF12DrZ58CB4gu4tpQvd3emHvBXygmbdh6b2293/Jh9+7zXntpSgnl/nKetobE3/5PSF4tl//2b8h06aZLLD3Glc4Ey3s3dr0dZFl0uf/lFv72ionovdEeFDP2N9vqi8t4sWgTk5amJI2/TTllmN0Y/cMD5+LwzZ6pnm5TfV2dVI52prARycsTvtG2FT4Wjas3FxWr2f+hQ/bRCyjQpXbrox8cpNm0yLr70+ONi/59+UgPJqVM93/X7s89cK85CRF7BoM2AW5m21poy9BnDERYWhj/96U+YOXMmAOCrr77CZVcnF9ZeCczJcb0N9ihj4xxNJFtfHD0qltu2uf4Y20pr3ijwUlNKP6D6OhVDfWJ7Jj1vnsiutW8vbnsiaHvrLVFpluPjPE8pi649o3fCtmiv0Vewck1n0CBR28G2wrw9R46ILpf33qvfblSQVMnm1QfaXvl/+5soWjltmqinUVedNbQ9lWs1DLtFi+rZtCZNxIWa2o4FkyRAGQZh211Tu49i7Vr9fenp6m+yvd4i2mEV776r/pYPHiymcbCltMM2PRkUpB/fDYjfQUcf9g8+EGlXrbw8/WsaPFgUVyGiOsWgTUsZ01bpxsm9SVNo5NIhAEBERARMmi/zBa7+ctvOCSdJ6ji3mrh61fi49ZF2cDng+vsyYYK6fuqUx5pTa8pZZH3rQ9UQPP+86O6kFLYYNEj8rbkSvP3rX8ZjTqdMEakK5TP24Yfiaj/VnhtFe379FThxQu3xqiRZDx3S73funBoLbtggCg86GqKk9eyzYpmXp99uNBYsI0Ote1NUVD2YtGf5cuPK9Z505oy+PdoEzowZojc6IN7+5s3VMYLedPasmhDzypjAiRPVya897dgx42Pfc4/IoD3+uLqfM5s3q+t33CE++wMH6sf3ASLrJ8vqsAFt1WTFH/4gAseHHhLj+oYNEx922z8KxbhxQHKyftsbb+hvb90qXs+//+38tRCRxzBo05Ftli7QXn0q05/Mace3ZWdn44yzk7iwsOqXNO2NoneFErS5OdecX5o3T3/7j3907XErV6rjC1580bNtqg0laGOmrW5o59xS/mZtgwBn1eWmTBFVJhxlrgsLgaVLxdxKytkn1Y4bFzhatgSuvRb46itxu2tXsUxM1O+nJO7ddeCAKOIHVL8GtHSpun7dder6iBEiq9esmWvDbMvLgcceEwmZS5eM95k9Wx07547SUiA3V6y3bQv87nfqfStW6Pe9/np1vaBAtEvhjYDql19EsUUlCWSUHZVlETS3a+dHBYHXrxeZqU7/z96Zx9lU/3/8dcYMZoaxZGdQdkV8JRUtKhWyFGlBKoWiFG20WEoqKalQfhStKCVFZaeokLGUkERjX5rVDLOc3x/v+76fzznnc+4yc2fmzvg8Hw/uveeee++ZmXvP/by31+t8kiy1/9EMg6LjoUPpNrdG+kLuEuEW+vXryahd5vhx4OKLxe29e9XWGLfdRr5xv/5KxwuoFXjcPDLcEs+3367ertFoCgQdtEkcOkmDEKHqopPl/hctWoR35W91FYbh9BTjwCsv8HOVhKDNrhAWjGfRE0/QZSjmBEOFp322RIjEFAfWraNs9IEDYps9aPMXZPEsB8/UqPjiC2ov0oSOACptmzeLyhlAEvUAtfcxH31Ep9i//3bvtPSXV2vb1v0+uVPulVes93Hb3/79/j2RZf0J1fEYBjnSyAFXoFx+OcUW3P22erW4z594S/Pmwts6FEXk3Fzqstu4kW7bO/a2bnU+ZssWElA8fNhdEDg9HejaVVQKGcMoIOebrl3FwURHW4KmQYOkYJjVa+Vf9KBB6ufkAM8fvXs7Z98CtQxSncPcgrObb3Z/Hjma12g0BYoO2iRSMym7lRucFImgagfLzRhFFSU3Nxfbt29HbqCur/npkeGAryQEBvkxlq1fn76t7coB4UBx988rTjRuTH5IjF2tglUj9u93DvvbFziyeAAgAoq6dd3/pps3U4+ZajWqcSeAStsll6j1JeRtPArky2uM43b+cycni6odAOTkWPeX2wtbtaIxyaefJlHYHj3EfVddJa7b3zoyR45YBXL37KG308yZ4v78kJBAl8OGOe+74Qaqrtk74Zh33iHdDCCwYpEv3nqL/q1bRx7SgLPrWHUc9vZS1XGUKwcsWeKu8VRYhuu5ufR382pn1arlnLOeNs3xuKNHgcYLJmDXPRPFHwxQ2we4zXg/9ph1NEDF4sVOGw35PCfP57LXnYpff/X9OhqNJmTooE2G1SODPatf6ZHsLW09sakESLZs2YKFCxdiU6Duq3Jve7CUpEobACxcSJeqFYcvoqOpbyqc/LhatrSu6jSFj72yxn1v9euTxrmsVCqXJHjf3FzqU3voIVENSk93L+NMn06lglatQnH05w55nP9kcdmRI605H3kWTaUabxi0/59/kv/xDTeIfM+IEXTJwoWyW8TevbSunjiRRo+mTFEfV7167sdsr3ZxgYMLMva3bE4OHYOqjfLzz+ln2b/fed+WLeI6r9NTUmh2jdsn7Zx3nvgTLFlCl4mJwfvc5eZSd7tcBQXo9wwAn30mtp08ad3H7s5x9dVU3P72W9+v+eKL7s8RCpKSKP6Slw7Krxt7ZkEhZFKjBrDnLwNTyj5tbX30Nz8mB4B169JogC8F5Vmz6A39998iYpazEnJSSzbqA6zKnUW5vsjNpXNxOImMaTQFiA7aFAT9+Y+/FajcFsi1tjKqgrY/PcO/S90GEpYvB5580pq9+umnIA/IA6clS4K5NkBBzowZ1B8TLLGx/k1JC5OUFBpy0YQXsvqaPOSjqni/8w71qckS2L/8Yl1pyplsueKtFxmB46c9cs8e9cPYzisqSl1dadpUVHmY6tXF9dtuEyIi3HoZGUnr7O7d6Tarys+aRRUyOSCTn0uGgyn5rZGbS4Hhvn3qxwDASy85t114IXXdVahAXXG5uaJSd9ttdFm/vvtzAqTiDohTkvw7+fNPeqvy25VnAyMi6HcSHx+8roc/vR+5QjZ0KM3P8eurNIB696bgNjGRrBgYLmotXgw895zYbp/dCwWVKtGxshhkTo6Lx7fcA2ov28J66nCI1siDknZGjbIGUhzdX3SRz+PGunVkL3DxxcCQIcAzz/g8Pu+BffKJCBLdshOFwbvvArfcEng7qUZTzNFBmwX6Zsgx89A/ERkLZFunszt65rDKSz3uf0kT8Dmqk+J119FARNu2QKdOtO2xx4I/HkB8A5x3Xt4eH25ERNBQhTQrGDDhFrT98496YFxTuPz1F33eWP7fLjJimtb+uO+/F4oTdilvAFiwQPi/AaSswPBMC1BA0nglFD+VNrvICMM5EXuRgLngAmcLnVyxkv3bOFjIyKDTD/8pL7yQAjcuysriJP5yZe+8Q4Xa2bPptFa7thD/k99yjLyeZuRWyrg4yvc1baoW6XDLE7CIIAdtLN5SqpQzIOM/wbx51qJRMGNNqgqUHKy0b0/Pz68TGwtMmkSFJv44zZnjfI74eKtuV7t2dMkBNqOyZggVAwfS5fTpLsGp7OSuaPnnNlhA/TPiyBHghResf3iAqv2yxQELhBgG/cKzsugNsHy51cybsxGJiVYlHX6saYrzXL16pH7Db2x+cxTkL9Qf3GquveM05wg6aFMQlOQ/c2w1cNzq/9K4cWOMGTMGAwYMUD7ktL+FG39Lu6Vs/cHfjhUq5O3xJYlwCto2bKBLuxKYpvBp0IBWulwFs8tgR0SIvi2ArlerRtcDGexp315EAnKpxG78q3HHT9DWubP1NnensuAHz2HZqVHD+pQs8qeiY0dav37xBVVw5PUxawoB1m43w6D5JLmi9vTT4vrjj1OhduBA4P/+z/p6XCWU4WO94AKnIjszeTJd/v23VTD19dfdHU+efppyCPv3k04P55I4jyHjNh5tn7U7fdo9kFO1cspKlZGRzhbSp56iOISLOrfeKtpfZYYPp8ubbrJW6GS2bqUgsCA4coSqnQ8/bN3u/bizkrHdQ86DX3XR6tXpDde4Mb2BGF+J2bg4UXa87jrrUKX8h5OVXfr0oTdct26iZNusmfXDZFd6yS8ffeReFndDd6tozjF00CbR4OLLgWoIXCQkQEq5GHD+6M8omqfXWaI3WPjbUZ/YqIfKzci0sOHUvzZiDh8C8U5iVIoXvjhwwDl0Yzev1biTlkYRkEuF3T5CyMUD7gzjQAaw5km4KjNtGrXM3XWX78NYtIgCm6Qkq8LjmjXi+vvvWx9TrRqN/LDNpEpLQoVclOUAjWPXJ590qcJInDxpbbUcOdK3RUDXrnS5ejUFa5UrU6AXKH/8QTkMnheMjaUAj2cAZd55x7nNPnfHVTK37r6YGLWDS0YG2ZImJdHcnlzMkttEn3zS9UfJN6rg2KvjwdG4yxyYPY/rUwhS7gXlz8aBA0Gdy+ahDw7CY1DIyUSAKnlpadbzlv37U5b7z+sIh0z//vSdyD3JgcAJNDeTc42mhKGDNonSpUsDcXmstLX0TDrnOtOLhouaXA03eSvxQHFdVpEKlJQUeo4ATGlLPDx9HswXQkHBKzgeJtGEH336OLfxPIqsQOmGnDJPTnaqNWh/o8BJT6cowOU8KruifPopjem8846oushFDdn1o0EDunzwQeC++6xdXrfc4nwdeVtMjGh/k8VD3E61P/wAjB1LrYuBULYsvWUef9wpEFi6tP/mi0cecQYPdnV5WdeCdXZ69qTXPnnSt8qlnZtuos7iunWtlgZvvOHc11cnm/yVWKOGtUVVJiJC3Rb73nv091a1h9pj/vyMlTZoQF2K/JoyDz3k44FVqlAEzUouElWrOhMHPXv6eK5Spai9+8svxbb4ePJ0CIA9aIg7MA91oIgyAxnJkCNi+4H27y+EnQJB/mPYDcR9wd1EOTmhr/xpNGGIDtokDM9/23bnQSKf5+DOnHDcFRcXh6bSt3WU56QUEYyMfaApWpnkZOp1yY9cfkmB09U+vwULCc4K1qoV9ENvucU6FqEpIOym9mPGiBWlrDDw6KO0uh4zxipRJ5cpVq4UJQc5xa8aXNI44aDNBfb5ys4m7/MaNZwLZ14HVqkittljwJ07xXX5Mya37skEI2bZoAG9RQIZY2Wbv0aNRBuf3FnbsqUzOHzkEfVzydoUzNdf07i0fdYLsM5U5RV7TkNej8vKjY8+6jQ5l+cP/dkbuBVX3IzT5b8vkHcx4dRUKmY9/zzN3LF3HePWGJOSAnrTvfYaWX9I2H0GuSPRLh79ww+UMPAee4MGQX2nlSlDhzD1sX34CP282/ehvtjpxAn1lwxHqTLXXy8es2gRvVGzs+lNrMp8MLL9zpEj1ipet26BJ1flP6JdjlSjKYmYplkk/9q0aWOGG90HjzZBaiTBP3h+nGl+DPqnIDk52Rw7dqw5duxY89ixY+bYsWPN1atX+3/e2FgW7zLN3Nzgjunee02zTp3gHlNSWb9e/B5lPvnENG+9tXCPZfx4Oo6zZ4N+qOpH0ISALVvEL5d/wRMmiNv2zypvf/55sS0nxzSTk8Xt776zPidgmr//br09d27B/2zFnTvvNM0GDVzvDuQzceqUaR4+7H//FStMc9cu09y8Wez388/WP5l8Gpa3//ef/x/l+HHnW4L/lStnmunp6seNHu087sRE0+zVi7YlJ5vmsGHO51y92no7Ls76vHwqCua88uOPpjljhvvPYf83Z45ppqbSY7/+2vla8r6Jiert/O/tt03z1VfFPm++aZqvvGKap09b98vJUT/+5ElxfffuwH5eO0uWBPZzz55t/TmmTnU+18GDppmQ4Hxsbq76b9Khg/p0FChux7oZrelKz55i53nzxA4336xef9jPm4A4SLc31Mcf033z5tHtevWcz3Hxxaa5YYP/H+iOO6yPy84O+nei0YQDADaZpv/YyW8JxjCM2YZhHDMMQ9moYBhGX8Mwtnn+rTcM42LVfsWBiPz4HFf3SIJHqvtjWEHyuuuuQ0VPv85GThH7QvZ0Uhnu+IKNdzRObW/mrrvI/y0Y+bP8kp5Oqf8g2kC405WRO2KYM2ec29xITXWOVe3cSa+xeXPgz1NiaNXKqYL29NNAr16UwbWrSjLy5ysiwjo/esUVzv2bNbOqSOiyqX9OnLCWyPJApUqiULpli7tNwLXXksYDt04CJOQrI38OZ8wQ1120JSzYK21yoSAhgaooKlhHoksXsa12bar0HD9Ob7s333TO95UrZ3WPsT+/XLFj5Up/tG+vfmu7MWCA+Lm5RVHW0JBHqeRZPhVDhwJPPCFuP/IIFa/l1sfnnnNvLqlcWRR1ZHePQHjzTWq/VdkOAE6fbPa2Zr2iRx4h+4HPPqP3X0IC/Q1Vto3ye4xFZH7+WbTKJifTqeSHH4L7GdzYNG0j9a3KPbN9+tCw56ef0oGr2pNV/b7+ZvX79qVLnpdTrWu2biVhFH/dCLKpH0AfFH+vr9EUYwLpm/sAgIv+FgBgH4CrTdNsCeAFAO/52Lfk0sFzsstWm9AYhoExY8agQ4cOiIqKgmEYqF27tv/nlU+K3bv7mUy2kZSk59kYuZdGFd3YXVwLkv/+8786sWGfLb/1Vmvb0ebNNIuyfLn7cyxfTvuNHk2xavv2tOBjFiygS38ervmlQwf6/ndb/BQZHosOLxERJHetGsxh01tfgbdqBW4Y1qH9fAYj5wSZme7RDIJ3AGnVyrflFeCMxQ8fpnY4u0uLfU7MH2XKkFjJDz+Q60dcnOhuY00FFQMH0leBHCQCdFrjt1BEBAVAclBz0UXU3tnP0wlnb/XctElcl9Um/eHjz+HK558LFxu5NfOyy+g8tHSp9Xk/+CD41wCcypscoPNannWE5HNfIDz6KJ035S5opk4dmo2U4RhH/rrp3p1aVps3d5/ts/vqjRxJzy+LOy5bRkK3qtFbN+TvCzuDHyqFj8sPcZ7P7ruPeo7d8OdroXpRfqMFIuj0+uukLmNX9QXcDf+uvNL/82o0xRS/QZtpmmsBuC6vTNNcb5omC9r+DEAhFFw8kPNIycE2vEcEMTwLoFGjRkiSG/zdeOopMT2/fXtwJpIrVpDZr4bo3ZsuZe8spjCHmE+eDHqxrkpyzpsnvhO5GsCLotmzxY8L0IKlUyca3p84UcxdVKtGi9GOHWnmBlDOyIcUjllUf4YipWZNquq46b7L8Ord1+CNfehGVZ6QV2IaNRkZPheHtWqpZ7fyS1KSUGCsUYPUCu0VHMOgceMAtR8AUAWmUychaz9vHp3afc271a1LlfBANHBefZUClblzKUiMiAA+/JCq8zwvx8hVxP79A/8ZLriAPi6+VBjtCSSe0wKcgsZVqjitGQYMIDFE/oixF54bfL6z2xI0bEjnSS5wc6xwyy2BfdTtqOKHa691319WGmWys52uHy++SMfpy2CdefttukxODtw5xp/DUCjmGR1MnUqXiYn0YRk2TLzxFy507v/JJ9bb331HkXyzZs5uGLtUq0ZzDhBqhYqBAFyFhQ3DGGQYxibDMDYdDzbNVSiIrFDFihWDD9y8T+PfMqBy5co4FUipoVEj65Duhx8Kea5vv6UTmq/qm+ob41zlvvvoUrV49rciCCXHjvlOqytQJRXvvFMsIuWE5po1lJn/4gvxPeerFeiFF4R6HOCu2JYfdu6kY5FdDuTv4GnT1IuhtWsL2c7uvPP8Z48B0QvFthyBoIpWFy+m94JhOKPY+fNpu9306VwjM9NnOe3UKUlSPYRUqOCseqj47bfgHCPslC7tLm2fVxo2dAZhPXs6WzhlrzMXcU4lhkFaEq+8ol7sb91KlmBuXBzgEEV8PCllJiX5908eNIg+uqwqySK9duSAMTmZ2hSvuUZoY2zbRkkvGVX3/KFDIi/DCpLc9skJMICOX6VmKatsAlY/P8DdE88Oa4H4w95S/+GH1pzTmjXUOhxSnnqKLln9+p13hKypKjr15TdnT6yy+k58vPMLTmUGqNGUAEIWtBmG0REUtD3lto9pmu+ZpnmJaZqXVA3W66gQMGD91spz0Jbm/xs8Ojoa2dnZyA7Eq8v+TfvSS7RS6dGDUoW73gFchgAAIABJREFUdqkfV7584Gf0c4GaNa235ZZIuU+ooMlD0Cb7s9uzuqZprapdc424znkBX60x9scwf/8tVO4BWjjxfMz//R+1dzE7djhHwpitW6kd6KKLrN03bId49iwVkFXGsldfHaZv4SuvpBWfyuFXZv16UqKUTaVat6Y/CMv+cwKrTRtaDfPqme/ntPq5io9K23XXUcWiIIK2c4FmzUih0E1xMRDuv98p3MfNIXlxqlFRoYKY63OjUyd6q3A1cu9e9XlPVv187z1qJ12zhubLTp2i4vfAgdZAzV4VA+jrJDubXoNt1yZNonZIOWgDhO+cjD1na1cAtVdFfcGe3b7gnOV999Epp18/p3WEm2m7Tw4fFgN8jN2HTvbFkDOE9vKfYbjbocTHq/3gJk1ytlrm1dtWowlzQhK0GYbREsD/AehhmmYhDgeFFgMmII2Qufmr+SXBNW71snfvXgDAv+xG6gv7gmX6dMpIcYuWKvAzTb9S2eccssS+aarbMwqDo0eDCtpiYmgBAtDMir3t6MMPaV5ERY0atHDy96Paxyu7diUxhlq1RIa7WzdafNx/P4kWyC1hLVqIuRk7PGhvtyq7+WaqILrlRtat833MRU4gpvWXX05Jluefd97nb95UNhWTtdDPNXwEbSyJ7itBr/FNx45W4ZW88MYbokIvq7VffHHBtK7mh8hI0aGQkmKt5M+dK+IIOYlkD9p8tVWWLh1Y1XLXLppTTEqi6/a4w64hxjPHKgKZ/+NW2KFD3bvz89Iuiho1qFVRNqxje4AzZ+i71m7MzdizBZGRJC5iL0MyHTpQtk9uo+TBPrncrYqyNZoSQL6DNsMw6gJYCKC/aZq7/e0fzhgAII2ZnfbXBG7nIs/CLN1/INbA8y15JhDJP3/fAGfPOrdlZtLJTQdtAvmb6vffrbJqgDr4DTWmSVFKEKqe8hepymNYrsKpWLXK/8yNvUomz7Wx5xW3+MyaJe6zd6UEm+coX97q3cSYpvXnsgtAlAh8BW1jx1p7yPz9kUsy6enK35XcThakro+mALjwQlqj2/3f7KqUwVSQCgpuC5w82VqNkz2lOVEGiKrY9OkUfwTSQW1n3z7g5ZdJ3ZIpX56+Cho3du7P88nM5ZfT7CMLqnz7bWCKpUzt2hQk2iziXPU8ADrvnj0LPPtsAM0o8lCiLGMaEYHE1XtwAudhIp7Gx5AcxLdupcsJE+gfq/T6GvCcOVMoUALiS+f880Xr5bBhhds9o9EUEoFI/n8KYAOAJoZhJBqGMdAwjCGGYQzx7PI8gPMATDMMI8EwjOL7STFgUSMZPnx4cI9v4ulvOOVfyr9JkyYAgJxgVqP29j5GNdOWnk6XWj1SEBEBvPUWXV+zhnr8AGEHIBt+FhRZWbRKCFbyzgMXC7dvd4odujFiRGgKNaqY9s03A9vPF507O7d9/rl15EGWBS8x+FqYjBtHJVSZnBwaVJT10ks6pkmrSsV5TJ5ZCqToqSl4VHNY8nmqcuXwEPcLtJ328GH62PEEQuvW/jui3ahfn0a8nn5abPPVaGNPgFWuTC3m7dvTx6JLF0rI+eObb2he+Mcf1X+f2FhrfkhukYyMpE7HCROc1hcO5MyJTcIzHomoihMYjYnoh49hfuOR+2fLk/PPJ1ljLoHGxVFk/e+/pKwjI/fs25ETs34PWKMpfgSiHnmnaZo1TdOMMk2zjmmas0zTnGGa5gzP/febplnJNM1Wnn+XFPxhFwwGYPmNfP/998E9QYTUx53tu0oX49E2zgi0H8E0KahYvtwpfqAauuVtvhaG5yKcZhw2TGy75Ra6nDKl4F+fywMBpmrlLPDcuaIN7KKLgDlznPtzAGQvIvLiYNYs31L7bspl/CuyoxqnlNsd/c3SAdaMdkwM6W/YZ0K2b/f/PDKTJ9OiJxiHjEIn2ITKV1/R8OLkyWIgsKRz5gytmhUdA/LaLb/tfZrC4eRJUsIsauzCrm7UqkWBFs+MhaLiL9sa+BKfBWj864MP6JyqyvOpPN7sdOtGrZ6HD5PIioqEBJETXr8+j8I65cpRZJiURBGmp58zGc6Mypkytm2qdUr16uR1IHtYANb5YPt50B6V2nvyNZpiTqjVI4s/+THYjpQWFjm+g7Fozxk46BbM665z9pfI/dtpaSQBxStz3TdkhR12ZVjZQ+XHFWo4aAug0nb6NImHAqSSbFeDq6Mw11iyhAKltm2dRrsADaFXqkT7/PMPfaEz/ftTNljldfrVV+pjPHbMWaCsUkW0dLq13rz+unp7RgbNoe/cad0erNAE/ynDerRBFbT5Uj2Th/1feSXkhxOW8PnRFrTJiYGePbVIriZ/3HyzuP7yy9b75Hmxwi7eXH01dUb7qiRzi6TbaHugyMF0q1aiWYdRfXU6aN9etP57TtoV4RxaTrvYpniiUsKSUZl4d+mi7seXA7cmTfQaSFOi0EGbjIn8/UbkE4ifSltkZCQMw8Dx48eRm5sLM5izq30eSk7X3XYbVZNYoUmfsKyodKAvkYrDBT3XxtFMAJW22FhRhVLFk/LbrVYtZ1WJZx8Y+1xbvXpWNXmeI7criqmYPp1+lVFR4u0na6twNtktBpFnR3yxeTNdnjgR2P4Mjzbk5NBjt28PbgFTKNx1FyUMWIazfn11xpkjZjkCHj1azIOUZHjlaHNzlt9rbqqlmvDh+uuD87IrDGR1SO6UB6iyJgdussiw3Xs6r+TmUv51/fr8PxfPBKuOLRhhkZ9+Is0kgL5L7Dkl+1dnVpYfe1Mf/fvTptuCLX9dByofGjexEnsAmJRUuD6sGk0BooM2CXvgdIutJywpiZI7bi0GAIB6HqmsHP8VNNM0sWPHDrzwwgv44YcfAj9Q+QRXo4YodXz6qVBp4pYCHbT55ptvrI659kgn1ATYHmn/jvK34LnzTuf3XqlSQlgLUP9o3F3Spo04pDJl/AuKDBlCVcCVK4V/u0rBTBW0catR8+a+XwMQAoqBBG2HDjm/m3/5hVTZWrYMzjy4UKhUiaTr6tUjs6+NnllYu7a53XWYCaQ3qrjjUmmTtZfyOB6qKUSWLcufl11BwB+zhg0pUfXff+J8eEkBD3kYBk06XH55/p9LHh+zJ6buust6e9Qo9+cpVcpp3SBjbw0dOZKWH/aK3K5dnkDSMJB9UB0s2dvf/VKqlFNm2G0gcN485zYWONFoijk6aJMxIwCp1/1Lmxtly5bA0qU0tOvaKlDXs0r2U2mz87PKfdONiAhSRjp6lEosPNxhP0MDOmhTIfeB2LNygap75JUAgza70bTbwpQHyN3MedkDGrA6HjDcYnnrrdbtgahAcmWP1SXr1bPen51NCmcAMGMGDc2bpjCu3bbNvwdbZCS1/8hBW58+avnr2rWdn0tZbpwrMoUhEho0rVuLIXo5WXTwIEXRbkM49v7Pf/8tOiuLgoBXhJ6gLTcXGDxY3N29e/CKpRoNs3u3mP+tWFG8l+w2YwCwdm3hHVcwyKPYn30mrh89arVfmD2bBEV8ER3tfqrh5Bwzfz5dygrCGRnUyVipEo2j3j/ah7XNmjXU8s3tFP6IixMtFIB773vFis7o1c3LVqMpZuigTSIXAC51v19O7LhW2yM9bTwBVNryRZs21COUkGDVZ7ejgzYn27fTN9DBgyKDL/9xDxwouNf2EbRlZdE81/bt1OXKjBghZtvsJCRQ/O7mkXbeeTQC6daGc+GF9H0mK5oB7joXQ4YIixz7c1atCvzxh7idkSEKvqdPO+PjUqWAH36gfUaMcL4Wb6tShVqU0tJoUbVggbWCCFi/o31lr4cOpTaisF7o83vyiitEpO1mOCubTPFjevUqOR4JXGnztEfu3m21gwo6Y6/RSDRqpP6KVJlMuyXGihp5zk4ekZcrm+vXU4dDIOc9WU3fjmzPwmugCy4Q5989e8T9TZsKsayePZ3PldP+Kvw7/n2nB4EvatUiE1HAfdCaCdc/mEaTD3TQJpMLoBmA8okAbrDcFbAXcikO2vw3k3flk09+4NX1iy+q79e9Q07i4kjmXy49yX/gGTMK7rV5yEDxd7npJspetmwpZLEnTCCxwAgfn9Q2bZwddTJ9+/oOZBo3dn/+Z54huX12Kpg+3d0st0oVUiljUYhZs4CBA+m63auJMQxSdH7tNbFt8WJ6rcmT6XZyMnX+2se92PQbEBU9QPjJqZArj2FZcQNEmVWOiu+7T1yX3zuyae2334o5j2AFjsIVW6VNNjyuXz+49Z5GEyiG4TzPhWv+s0IFMVd8//1i+xVXiOsqUSo3eK4NoO8fucVdnu+T4XOu3MHIo7qA8Np+4QXgwQfp+ujR1PTy+++BHxsAGmkwTaBHD9/7/fijNXCz93FqNMUQHbRJeJP1hgmgDUp7VIgyMoDjx537v/ginXi+/x5o187TJsCVtgDaI8uFwkNt0iS6ZP8xO2FdUggjZMUp1tUvCHxU2lauFNfXraM/3ejRBXcogVCuHH3hq4JCe+WM32ocAD72GP1aq1b1P2duGPQ9bJpWJTdA/dkDqC1z2TJaKKjm1OW3focOzvvdFiBFDh+47GJ+3XX0BvnrL2v0Ku8j/+J8OeYWJ1yESADrolCjCTWzZlHXMqD2kgwnZHVduUUSIC/NYJYBtWvT909GBn3/yKcbnjG2wzkiNzuZevUoSfbMM0LQhO3XgrVzCZgKFaxPvmVLAb2QRlN46KBNwsyVz2ylcfbsWZim6fV/tPPcc8DEiVQh+fVXz/xrKU8WPICgrZSteXzcuHHIDdZ/iWX45H6OQ4foLCmXHzSBU5DmxS5Bm2qNHQ5qh3aLHBnVvDdgTW4mJQlJ6oLghhuoxUk1YJ+QIK6rxrx8GdsWKdzvxFYUTMeOZEj2/vvW4T2V83hYG9QFgU2IRI7d5IqARhNqoqPFeyzc/exl5cg777SabgdrlwJQkkv+iuK5v06d6NI+IsazyW5BW7ly1A5vGE7bhDvvtAoL+eOTT6xtmKZJnZL8HDt2UJPCxIme71DO2KWl0SyBPOin0RQzdNAmYV0jU+UlIiIbn38e2OPLl4eotP1LD1qwwD2jH6cwXzkbzNkLEFPDsmhKzZqUhu7SJbjncmHFCnpKeQa4RCIPZBUULkFbuHmgX3EFxQW+TGirVaPs6ZVXUvsiw/LZNWqEJmjjVlHGXnlTVeJ+/pmywqtW0bx61arOfdq2JdHGsOPVVynirF9ffX+XLlZn6bvvds6whW0ZMUikShuL5F5+OXWQ+lLC02hCwU03kQiSPX8S7sjHK89H55W2bek7qk4dOud/8YVzn1OnnGIljz1GAi5ypU81avLuu3S5Y4fTo1Nm0SJq92/cWEwaLFpE2k1DhlCOp0ULymGPHu2ZweMupLvvph9ENWCXV7Zvp4TS2LF0+623dLJcU6DooE3CNOVKG8tHZVr2efllah1QsXo1gLIek6t/v8Du3SSY4OZJVU1x9jpz5kwwh+xk/Pj8PV7B1KnUM8/ZtmA47zyqhhQLmjUT0dPZs3TmN4zQSqv7MdcOF5PgNWsCq0SVKkVfynfcIbaVLUvjgkeOhCZok8e5vvxSiCyq+OQTqoC3a0e3r7lGvL4qHyKPhIUNZcoIWVBfcD/tX3855zXsjue+OHWq4K0u8opUaatdm262b0+euRpNYVCQ3fKhRKU9dPnlaiXMvFC1KvDOOzRHyqrDss1LixYi+GJeesmZdFP5gHLSr0UL31YwcqKG1Ss/+kg8h905adQoiF+AnN0LVU9my5Z0Uho3Dnj9deCRR6hNff9+sU92Ng1tc5SZnOxbPE6j8YEO2iREO5oJgBfVVkGRkSOtA74yc+YAKMVmV1Wx6o2nYBi5rtl8w5N+ipU8iDIzM9U7+0IW1FDpuucTHkTmbNnOnXReeuYZ575JSWL/5GRaDy5bFvJDKjh4RvDZZ4UQBJsYJyaKoCuv8CLUJWiTza7l64VNZKRvcRN/cMywYUP+//733EMB148/iiRpbq7a9+n2293zFirzWV+VxLCH7SluucW5Wvn++8Cfp3NnWlmFozKLTYgEsIrWaDQaIiLCObs7c2bonp9b+LdvFwm9Tp1I1wugzm2ZWrXUzjaqds0+fchOiZGNz5l9+6xVOD7/c9WvfXurWwpAQaTRvBnG4znrHW7DeTK5uXQeDXROYeRIcb1+fdGj+vbbNGfAvd39+pECZolvXdIUBDpok/F8NitXygHAZxsRtJ13Hi1kZaU9+0nCNAFU+h9w5jgGX/kqWsRv97kWGjNmDEZKH/aMDP+qkw7krLrbAF4+WL2aLvmk3bw5dQC89JKzC6tSJZr/HT1aPI5hoYmwhoNeDt6YbduA+HgKtv76K+/PzxGtrTW2USPgqqvI6JUpbi05BUlUlHVs0zDUhuO+VDYZOa8xcyY9F7d0yiQnu8/thRVffil6oDhNPXMmZXZlEyU3Nm2iy7ycewqa06eByEhkZIuI+7rrivB4NJowxl4wl42384t8Knn2WbosV47Ok/XqWcdoMzN9CwW9/z5dDh1Kl4cPW6c5ZFEuhgVMmMWLrbd9iV2NgS2T162b+87JydTb37kz9cfyl8P+/XSeXbPG/bEy/AW+fLl1O1f5tJqlJg/ooE2C44kmF2QD4CyIWM3Jw69ly1IyZeFCayASEQFkm6IfoUnNXdi1y7eggyE1fK93M9TyBZ+APvxQXU4IEar1n1sX1sSJ1tbxNWvodxP2gYjbt5zcrtaoUd693JKTKfKXUpCmSUm3Nm0ocGPCcQ0dKPKvURbmLGqysqydK3v30qXKkmDgQGr7HDCgcI4tJMj9nvffT71I/jIlfP5hU6VwIj0diI21GAi/807RHY5GE87IfpeF0anBgdJ554lz6Zw51JHoaylyzz0UqL39NhXRWUmS6d3b/2tv2WLtqvCnL5INqa3Cl7ruZZeRCR13LwwaRLfr1wc+/1zIJqsG++z8/LOYcStbllqP+AtI9kfQaAJEB20SPNN2xSVnAXCERg3TWVlWn5bTp6lcz8hCEmt/Egvy+Y+QKW6gLT01a9YM9rBJ7eTwYXeH5Xwgr/fS051BmhxY+Koo8nnOXn0LO+rWtd6W2rIs1KuXt5NuSgqVIqVA/b//6P1Ut661XU8lU19ckAUN7TMNocQ0qYslIoLse/zBbZ9cXJKxy2Lzd/Lcufk/zkJDPhGxC7qvyX5ADMMUZT+uG+npQEyMxfrC3oal0WgI2aft6qtD+9yqzx13NlSuLCptgc5lswCuquCUlgYMHqx+3COPiOtjxqj3GTfOue0QpBYLWV4ToC/hUaOoD599MmXsnnD16wcWWcoGqZmZ1gHJvCZ+Nec0OmiT4ADFKGUAYG3pfzBp0mve+Z5du3bhzJkzjgWeLE5SISb4xfzjHk3hiED6u+yUKWOVAA+SvXupLU/VYi2v955/njxcZDizl5QUeJGPM3JhiX2QKy1NTF3byYtmfEqKozWSZ5LlQXLDoG7M4oocO9x4Y8G+lmHQ7y4Yr3rZlkCFfaaC45+ww+6aq0oyBDM7oTK8K0pOnwZiY71V+0GD8jdrqdGUZGTREfvoRn7xJbooxyL2NsZgkD/b771HYlaJiR4VSA+jRjlbIeWv1GnTaK2ybZt1n8XoJhTC5TkEgAb0X37ZXbXFLospt2sA1FoULIEEfRqNDR20SfAHOsIwAYjFzxOe3sbk5GQ0bdoU98vpLA+yol2b89XKI74EGViMJCEhAfv27UN2iEQBNm7ciI9YXknBJ5/Q+WvvXqHCxBw/Tm0Mvvj9d6p0qGR83WjY0FqlDDu+/tp6OzFRvV8g80Iyhw/TL9mWWmRtEp7ZOnmyeLdG2pHns8MFt+9mw6A/65Ej1u19+9KcxW+/CX2asODRR623VZmT0zbPyL17ATeV2nCTevW0R371Fd1k9W6NRuOEc7edOgU23xsMEyeSABmzYoW4zp9PgBpJ8sqJE+J6585kNRQfbz3n1qjh7G6UdUXYEN2uWjwM72AmPH3w9qzc9Ol5P+iDB60ZVn+LJhkeDtRoAkQHbRJsrm1EmACctfl9nkhDFQTJmZ7EU7Ud9wOBrYeSkpIwd+5cfBsir48lS5Zgr4/SltxeYD+PXXIJsHGj+nENG1KHQKdOwKxZarUngOSBVfgqUi1dCjz1lPv9BU63bhSNqoK1/v3F9aNHA3u+zExqPbv3XrptC/Y4PmdhjcqVQyfTXJQcOEBdJ6FePIQKeaEh07s3jSIAtHBgXn+d5g7bt1d7wxUJt9/ufx9ZncA06cPrZmMh+7+FA6dPWxy1w2k+UqMJN2Ji6CNuF5MNBVFRpHn01FNkYyS3X+bHZ3TCBDrnmiYFfJywlNUk7aIjdmSbAP7ujI+nOTd5zHcw3sMh1KTZst27aXBZtXhp21aZnTsNhepzrVrW8/B77zl79d1OXBMmuPxEGo2aMF1OFQ2m6fl1GCaWLrXOlm3fvh2tOYUDIFWWSgKdtHgdVKeytR3p4d6ixBaoYvzBgweRlJSEH3/8EWYIJBfdTLvlKv9zz9G/m26idZ7ccj1smPVx3bqRb8uCBc4BYPYE3rjROg80cKC4vmIFsGsX0KuX83fSpQsNJufmBvazFQjNm4teUPnkPWGCCLoCNTB+5BGauHaRYT91ii7lmcmSQHx8/j3aCpIePchj7osvrPMT69aRBDVg9YiT8yjBVJYLHdnpHLCWtVkn+88/acA0LN3FJTyVtuLcKqzRlBQiI6mL8PXXrfPXjRrR5ccfB/+co0fTOoJR2QSo1CRleM0BWFvfu3e33gcA8UYiDeA1aQLMnm1dmDDVq9M8mmmCVZBW42rE4jTWQhrS5qy23NcZFUW9+nJW0B7VajUlTR7RQZuMR4gkIsLEjTdam6Zb2nw9Gtp7okFqRs8/DwyY8QEAYPcRcoCdeososf3+e2CHkpOTg3nz5mHFihVIDoHKULpi2jcx0ZlkevFFii3s4hFTp4rrlSpRUMXnK3tRcN48Wvhecok1EJGTUePHA02bkvqmHMvIcZAvyeBCRZ4bql2bfijDsPZy+MKPWc6ff5KTgK4iFD5XXgnceiswebL6/o4dg5uVCwvsRkhffCGGU+XzVseOzg9vuOGptNWrVwyUZzWacxRuIpHVj0MJdxxykvnXX61K+mzj0qOHs0O8SRPr7Q6NbB0ycsTIyP4DHoGmlaAT0FfwDPd1706LHIYzfYwsKicHbdWrAw8+6HxNjSYAdNAm4RUiiTBhGAbuk9PsNi6zCwB4eOIJYO66ATD6mmjcxDkxH2il7dSpU16j7VDMt02Voy4PwWSvZeGVl192FwOoUIE6C1j5sHp1cZ9b1eXDD8X12bPF9QYNrDYLRYb8w0dE0A9funTg6k/2/kCpcnfyJGUnS9IMW3EkNpaSB/Yv+PPOo04XuU0y7DhyhPo2OeMhK9owzZurt3PvULiWRD2VtszMktEyrNGURB54gNY2bppdwWJ33vnmG6s4V9u25NfI3q+dO1M+9fnn1c+3ebO4XreW7TzIpb1Ro8Q2eag5IgK48krkNm4KAHgDIzDp2SRni9Fnn1nPsZdeSp4xgHUh1KOHU6pYowkQHbTJeNsj6WLWrFnIUS10AHz99dfeoEqGxdv69AFQVig6/vQTXcojUXaGstOkhySPZFJCQgIAIDMz0/V4giWY4h23RnKyKNrT1t2rl9jngQfo5JmUZD0flSolsm9uXZ6y3cmTT1rva9yYgsQi58UXrbK/Z86QQyh7Gbixf7+1z/Pqqy0ywHaFK03RccMN7qr3qgq5YdD73W2es9CoXp08DLjCdtNNdNmsmXU/1cmHEwgbNoh0uV0prSjxSP5nZqrbpjQaTXgQyqTKjh3WnOj69bR+cIt1qlWjziG3Gfr//Q+4/nq6/l1CdeudrGoiJa6yf99l6Rz/ffpaTNgtKmlPvljBOb5hGM4E7dy5pEy5cKHIZHNF7tFHrWq/KSnAFVfQILhG44IO2iRMb3uk2OZLgr+cXXcW9Lk9etRTPWorFIlq1qCIZd8+9+ClSpUqeOihhxzbf/rpJ5imiVdeeQXfBGJG5UKudJaxq+Mxfftab586JRTb9u6l4IyDNVmPxVfiaPly6nJq1YrkgGXPpUAYNcqqpVAkPPOMWrlizRrfj9u61Xr71lstN+UWD03RIwvDyh3RbpXQSpVCL62dbwyDTjJ//GGVeLPPusnUri10tV26CIoEj+T/mTM6aNNoziXi40MrYsXq3SeSopAFahVaj8uxNNsTzZUt6/XfifriM7RpA3jy5UqLmIBG2qOiKOFbqxbNjJw5QyVCgMqS6eniiTp2pOQZR5cajQIdtElwLEXqkf5xq3pVq+aZT4pr5N1W65DoYd6yxf05q1atqtzOVb2EhASkpKRY7ktPT8cbb7yBwzblt1mzZllub5Acj+V5MVkkUW5PbNvWOpNWtSoJI7GYW9myojJh92+TiYoSM1t796oT/i1aWFsY7BSkQXOekAf0PB57SuRpbcDRcM+/X7vLgKZoKFNGfEHLCmy+1CK//RYYMMAaH4UNgQ6ClS8fBpkRBenpMGNisWeP75hTo9GUPELkfORgP+rhLzRAe6xHF3hkKnNyqM9Syqr7Urlmf9WgkAfXWS6agzSuxP32W9583zTnBDpok7BK/jupWrUqJrspFvihdK5Y9X3+ue99VSInr776qvf6Gk91Jzk5Gbt27cLu3buRkpKCnzw9mCdPnsSqVauQaJOsX758OdLS0pCTk4OxY2nbpk0UcLH/SunSoqDkIjhpYepUqtq59ZKrULVR7NhBc70A0K9f4M9VZMgeD/b3REoKcOgQVSzsQ3l//GG5eeIExXGy/42maNm8mZIa8hgCt/j+9BNw113Ox8ydG8YJUpWxnL11EnAaxvqjUSPS/i4osrKA7GyklgrTeTuNRlOgGIbwfbvxxvw/X+PGdNkIf6EHbDNpf/3l2D852X2U5J573DsZExKo28qnKxCb+yYk0AiF3JVlDZ8MAAAgAElEQVQTbDuS5pxBB20S3B4JQx20JSYmYsSIEeghzTat8dceF0WLeyNaKAm5FNO8NOYziwtnPMa406dPx2effYavPWWaUx7t+Lfffhtr16717i8LqkyePBkLFy70+lCxTcHnnwsxRF7P1bS6HrhSvbr/fWTcqnKHDtFlx46BCzMWGdEKv5acHIpgK1SgH/KXX8SidvhwurSJ2xw+TPGfnksOH0qXBurVs25bupRUUa+4goRjwkIgJ1DkdseWLUm6dfVq537ye1q1UklOpjfqxx/TAuOvv7xy2AWCR/H2aC6dMJ97ruBeSqPRhCfvvAPUrRuabpR168T1PyDUTs6gNNCuHQDrCHpEBHnTucEOKgCdZnv2BFatIoPvu+8GbrvNx8HIC6H0dNGezoTA6klT8tBBm4zJlTbr5rFjx2LOnDko7SltT5s2zXvfNf6EKGp08jx3jjeRUreu74c0l50iFdStWxemaXqDN+akosm6Vq1aiI+PR6w08PrHH3+gbFka0uHuvTJlSCkPoGzU++9bPdZCSenSYhZXbsdkatSgYzl+3Kq2mRcPmALD3vZ4+eWkKukW6U6cSItcyesPoN9xoHZvmqIjJsaq6FysPPXkjMDGjRT9+DOaa9XKuWjYu5cu+/VzN+cOJZ6g7VgW/bLbty/4l9RoNOFF377UBBAKSxy3095LGE1RFqxd4seOCR9VRmp68ir+HzlCOdpFi8iSlZGDRAcNGgh1yZQU5/x7IK1OmnMOHbRJZOXQQrxMaetiZcyYMbjb84EGKBBatWpVYE96uSfySdkJ1i1hsSI3YmNj0a1bNwBAlN10BEBWVhayFJJ1UVFRyLApJtSoQQqWp0+ftmwfNsy3ueM99/ivCOaH99+n9SP7r8jwnG6VKtZWSl9zRYUOD/YxXLp0IzqaTtIKAq1oasIHbtkpdqhWPrIq6gcf0OU//9AAq0ybNurnLCiD7hkzAABH0+nEGdaG5hqNptgyHmPw7rt0XZYqOHpUJI7vuovyWE884Xy83JiwcKH1vocf9lE043Ov3Gc5YABdli0bpoPSmqJEB20SHeqTkEebVv5l9esEakgS6VncH1uDcrH0yVV5Odop5ankNJGMowxPxnzPnj2YM2eO4zHR0dH4jn2X+OU9hmqm7axRrlw61q71Ez0WIDExlKVioTsZ+8wbn7fkMbIi57nngHLl/A8o+oDP0woRUk2Ywz6FFSpY379si/Hff1SZW7my8I9NyeLFlCWRWbuW2hvlcwm71AI0aBoIvpSV8sOLLwIAjqWQbGSwbdgajUZjh/NSgNUPbsgQmmaQ9duOHRNBnLxdlgswTSA11f313n6b1IeXL6cWSst6p5FHrO6ZZ+iyXz/vOdgEkHP9Dc4nTE6G029Ac66ggzaJlrVokCo+3v8H4oILLgAAxAURSVSuQFUwlp71RePGjVG7dm1cxQoIAB72SDXu378fh3gATOLEiRPYZjP++vXXX11fo2HD9EAOu1D45hsSe1BlpNq2pcuBAwv3mHxSpgydqWWzOjtff009nYoBZ0CoZRar+SiNF/YlBIBx4+gyLY1incqVKTnDVeMi5+abRS8Pc+WVNGsplw1l3yC5erx4sftz79wZ+HGkpTl7hjIy1J4Kng/+0TpkvsRz+xqNRpNXJJtUR4J4yhQxhlGhAlXaDh2i87lsOVK7tvCUTUtzjqPZefZZoFMnaqG0qGR7OqHmf10GBkxs25DutQUajjcRiRyYhyRV8NOnyU9ONgLXnFPooE2CJz8CGf+MiIhAz549kZKSgszMTEdbooU2UwEAkaAWRblVOT6eqk1294Do6Gjcf//9FguAMmXKINomgHHzzTfjgQceQFkXE6NGjRoptwNAbm4B6enmga5d3S3P5ErUww+rxfCYjz8WSasixTSBbt2op8KlLZL/5p5OWE0xRs68Pvus9b7vv6fLr7+mL3gXp5DwQO6J3rRJXGdpVyYlBRg0iK7bVGp98sgjlJ2RA7eYGHUZvUMHIDYWJ9JjULFiaGZaNBrNuU2jRqJqb59ykGnThipthw6pxdNY5Ds5WZzj3XjjDXGdZ+T+/Rc4lUWtGbdjPr3m/i+8DuFv4REAwI+1pWFqdg+XB+vyy7Fj1DkU1l9MGkYHbRIsGmkGFLYBX3m08aOjoxHj69Mf6cle54jK1t699GHn9Y6vgg0TExNjERQBqNJXq1Yt9FeZnwG49NJLAQDluW9Lwi5kEq4YBlC/Pl1/+213QQLDoO6Cl14qtEPLFxznc5VGU3yRRUFlD0SADOkNg8YXypen1krDcA64hwWNGlmrarm55HMgY5r0g7z7LikGsYKRL5KSKCB8/326zVU8/hCoDJkyMoCYGJw8GdhLaDQajT8Mg1Sbp00jITAeIZNp2pSS6xs3UrJNNXfODQrJycBrrznvZxs2O+PGUaK2bl3gvPPj8A4e8t6XnW04HMWvwjoxWLdrl7gjFN5Ic+dSBPvii9TupAl7dNAmEUylDRAzZoy9NdFLKU9Al30aV19NVzt2tA6sLlrkfBjTt29fXOfps7LPpuV6eptruqhZcAXu3nvvRadOnTB27BjvfZmyNGOY89RT1ttu/ihMoarlfvEFXd56KzBypHvJ0AYv2itXLqDj0hQal13mFTt0iIC5GbTa9wsbZNPAUqWE6StAngcyJ086gzoVmzZZfTy4tyglRWyTk0imSa1A0dE6aNNoNCHFMIAHH6TA6oMPnOuFuDiriqRqZo2bA2QRkoQE6/WmTZ2PW7/eGh8NgxCFY2Xxw6hhfdCQIU5foGDltE2TkmP8D7BGrIc9bZj9+nlbNDXhhw7aJIIN2uwB1OHDh9U7cqUtO927nv/3X2dHUNOmgGoErWHDhujgWTjZZf25XdIeQDJsU1CpUiW0a0cLrvXrybdpwYIFyPFREj98+DDGjRuH42Eg21jDdg6rXJnMK93wKbUbam6+GRg6lAxlXntNODH7QQdtJQtfxXYV/hSdR49W26kVCpyIsLN8uXNbINHn9u3q7bLyJK+MTJOyzXPn6qBNo9EUCmlpQOfOdD06GnjhBXHfhg3O/bnSJs+zXXwxcP31wCuv0PouWGHdyEjKbdWCWEtG4axVLIpx6a5yZdIkICqKOh7sCypAmM59/DGZ02mxk7BEB20S3B6ZlhWYqmKjbtZ5salTp6p39ARtqX98gG1bKJvco4c1kwNQ5dvj7+hKJckgqn///qgrmb7JoijcFnmetNrhwtqaNdd4t+30ISKwdOlSAMCP9gMtAlTKcXffLRL1S5ZY7wvUkSEklC5NfZuqE6EPTp6kk7RWjyyZqLKsMr60PTIzydqvY8fQHlPASKq1XrZvd5rK+5iZtTBihHPb2bPADz+I21WrAvffb/3wxsRg82aaK9FoNJqCIjZWKPDn5gItW4r7vv3WuT8Hbexne4NH6HHZMtFIEB3t7BLyxd9/O62Wroaic6dCBWtnAnPihPtsGremJyXR4sNeXpw0yZollEuIdrTxd5GhgzaJH3P+AQA8vOrJwB5wvfXmEilyWLp0qTDh9gRt5f99BxfsaogFI+7G/n3ZmDIl+GN8+OGH0bVrVwwfPtyrYMk8+uij3uudO3fGmDFjvNYBACkhAUB2ttjGc23//vuvt9WS4aretm3bkOzrA1wIuCnH8cK3a1frdn8L5nDgrbeoS8GlSKop5tjzIZMnW2+/48MqUS5MBSPOGDJUJo0XXeTcxiI7voSY7HCg16cPHCfBWbNo8eDh9GE674RtK6lGoykxcCBWrpw1aOvSxbkv+0bOm0eXkpWvBbfZNjvly6sDoXRYdQzQsyd5Fcyfb5WeTk+n8/Ydd5ABrjz+smUL8Oef1udRjcfIWUK3oeuzZ6kT4oYbALeRIE2BoYM2iTSTAphDadY2x5fWvYR+C51Dn3v+c9dq79KlC4YOHUotlJGibyo2JxG923yIUqkJro/1hWEYuOSSS1CxYkXlfQBQr1495WNZ4Sg3VwRt6enp2L9/P2bPno3Vtl4s+XlcWz8LCbeEvt2o/MYb6fKOO4Dffy/YY8ov6em6NbKkYh9rHDtWXWzyJxUNAM2bh+SQgsP+xnRbebAvZPny6kUA4Gyz4YWG2yCv5DW58Qj5YT4ZYB5No9Fo8gr7b5YpQ+Jnjz6qHlkBnC3b6S4OSi6OP6hTR9gZAUDlyurs7SHUsm6YPx9Yvx6L0B0HOtwltnP0+Pnn1E750UfivokTnU/MbuJuDBqk7uE/dowuly2jflBfdO5sOZ9r8o8O2iTETJs14/HMymfw8XYa+txxbAf2ntqLf5L+Ceg5T548KWbaJM5mC/3qUErUDx8+HH379lXeFx9PlytXipPDqlWr8IHHbdLu/fanlJmZxyeEIsQ0RXaLB3m//tq6z//9n7h+0UVWsaVwo3p1oHfvoj4KTUFw5ZXW22M8+j+yJRogqt92ivx9GxlJH7j0dDJIlD3bZDgSzclxtk4y9irc/fcHfBgDQY62Bw4E/BCNRqPJE9xxyA5Kb7xhDaxk7B0yd96p3o9bLmUefJCKVIsXA40b07bWra379PEo/e9HfaQhFnjoITonR0UBAHpiEVod+x649146xz79tPUJ5BZG1cD1Y4/RZfv2atuWlSspEJw3D5B1DeyZxrFjnY8FyJDuu+/EoKAmJOigTUKV51i8yzp40mJ6CzR8qyGeWu5pVL4U6Du8L4YPHw4AyMrKwtChQ737Hzx4ECjlDNrKRomstGzjxYFVXqlYsSKiPB9qO7zwqVcPeO655/w+l11oZdasWZioytgUIpy05yLgkiWiCleunHOsrGlTYNiwwju+QDFNUsBUFEw1xZiXXyYrHf5CHzXKGpivWWOdccjKAiZMcCpMqmbMly4l4+5CJSaGMiGcLbHDX/x2hg8HmjWj6zwTe/vtNCcR6AB9//5oeC3N7AY6OqfRaDR55TLSaLNYuATCsGHUbKCiQwfSKnjwQVEMu/NOoFIlStzu2EECvLLpNwBcfTV9NwDATjTzqvqmpgJ3RpPd1H+oTPKXX35JCpMy8mybL6XwsWPJiI7XhC1aiPv276e2pdtuE9vswnTjxjln3HbvpiBTE3J00KYg5azQd+3+WXflPvN/JzNEdAG6DuyK8z3tQydOnBCzbAB69eqF+4c84nh8dGnKPn/2GdCpk9iukpYNFYmJpOBdrx6Zg9eqZS277927FwBV3FTiI4mJiTh79izS7D2JhQjHw/IaktsPGjcW7Q0yvmaHioqMDOo8kHRlNCWAp56iBCPz0kvAggXi9sUXU2DHXSW//05m3HfcQbe3b3efcezSxfp9GhbYS4ecqp46lWYoDAO46SbalphIkmpXXUV9R/6YOxedulBHgqq1VKPRaEJJgwYUf8hrskDgTgo3fv6ZfOH69CFlfbkTIyqKnFTsnYg33ghccw1dn4EhXoPaiy8GPssQ5btReAm5O/6wyl0CFCWyUtvRo9bqgIzHTspbjSstusDw3nt0Kff7q5SAZesWgISs3PpKNflCB20SESatlk5nnVbe/9thtX7rXQvv8ppXP/jgg5b79u7di/c/nO94TEyZn/Dhh5R8rlOHFnY9elDl+fnn8/NTuHPwIFCrlvBurM+O1RLjxo3DzJkzsWLFCu82u6H3r0X4YRwzhs4/qsQ/qzDOmuW8LyurYI8rWNhnTgdt5yZvvEGXK1fSJScvZUu0YoE9vfzKK+6tlJ5FBwBRhQOofeb++4FHHnF4HBw5QpdunZcajUZTVLAAWjDf424i0/bZt/PPF22aszHQ6xG1b591v5cxChsnLlM/aYUKtNhYvZpaQJYto5k4Gc4S8jn5mmsouw+os+AcyMnwnJvqBwHUSpeaPKGDNokIZYOk4PUNr7ve91MCGcwuUgzX55rAcwus296971XIsVDv3hRUAc6ESSgwTZKmlduwyrvV8yXKlCmD2rVrW7ZlZ2dj1apVReLfZhgiYLOvDVl69777nAUAtiAJF3TQdm7D34n8/cfaHPaE5ahRdClX4HNzw9hCZ8wYZ58Pw70+gPVE9MYbwMyZwJtvOgZIPvmELuXkr0aj0YQD8+cDe/eK83l+mDiRklPHjgmrSrsI1e7d6sdmwEdWi0Wl0tLIRM6t17x7d/LnnDCBZK2bNPFGiP+gnnAAUD2e+/ZnzFDfv2CBc9tdd9GCTrZ90fhFB20S/n4ZrWq0cr1v9p7Zlttr16613H7xK2CbNExft0oyLrzQ+hwsqnHttf6ONHjeftu57aw/d19Q5bCBray+YcMGrF27FtOmTXPMvRUmsqfdHXcAkmWdRTgJID2Fb78NH3sRnuXVQdu5iapSbBfVue02oGZNui5bXnzxBS0S7HPnRcbRo955C5/IWVu59C1/ycfE0ICIJxvMCtTaFkOj0YQbMTGAzXkpz9SsCZw+bXVbKVsW8FjuIivLqdrPjMZLyICnLOfW6cCCUHKyXrZyMgzg1ltJOhPwqmGZAM7HP4iPZyNjaTyGVfRuvZUubZ1mytdhPv2ULm+8MYyzkOGHDtokSil+HfFxQhnkyz+/tNy3rL9UkraZYrdq5Qzw4mzJEHuLMS/QuGUqlPBnS84ItZSNSBS0adMGFSpUwCWXXOK6z/jx4/GXm6ZtIfLpp9aFnb2I+N57tK7kHvGihittWojk3ETlI9ijhzWzun49zYcD1nkHVhV75ZWCO76gqFYNWLjQuV0ewLNP9j/1FLVF7t8v+rWZt97yDr5nZwt1NY1GoznXYIXhKVPUSpQAsAFXYAo8c8Lt2pHqnF2C+N576VJeHHlaLpV4FlQbQd0PqameBVZ6OmXTjh8XjuL+sGfL7W7lBSFwd/asbwGWYooO2iRKKdojc8wcDLh4AABg/b/rAQAVylTAyrtX4voLrsc19a+hHQ1g8EODvY8rX748fvvNOgP3siREefpMaErqgcLtVXKSpGLFinj44YfRvn17NGzY0PGYmz3Z8wj7osrGxx9/HLLjDJajR2ndZ8cetG3ZQpe2AmiRodsjNS+95Nz2xx/i+sGDQKxTeNaCLBAms2cPMHs2VeUKhago8SFjEhKod8g0nYOmlSqR9KtcHleQliZmVTUajeZcgxsR3OxhmNGY6FVqe+WTeGzLtGW72P2bDeb8nVhfp3GgdpA0DCIjgQ0baIFVpQogJ/Tt1bITJ4CtW+l6drb1Pnu7JM+25Je0NGDnTjq+MmVK5DC0DtpkpGQA+7CdyT6DcqWtb+6Rl49Ex/Opb6dhJRHs9BhgTYOk2AZUvtxeBQ1HALNXA+nZZUJ33H7gYX5ADLYylStXxvXXX+9qyB0IFewDZIVItWrqdZ+9nSrchIx00KZ59FFSWz51Sn3/7bf7rwxz4Pfnn/R9yu0zjRuTvVqh+gDa+4QiIvLdO/Tff76TwRqNRlOS4XP85MliG4+pzZxp2/nttzFzJrXOu/pelypFnRH2JJuHsWM9XRyPPgrMnYv+rSWfGc4SckEiJgZo04auP/642O/llyk4bNKEbtudx+fMsd4uU4aSe598os7Cy6SmUh+pnWPHKFhr3txanShhrZc6aJOIhpi5eGLZEzicehgnM06iTClrgDXyipHe6z2b9vRe355klUK91NOMzDNhderUxd6jQHIGUDbiDBYqWooefpguT58m+w27f1NeCESh/4orrrCYcreXld4kIj1zKXXq1PFuy7ZnUcKAiy5Sb4+NDY9qGwdtRRjvaoqY6GjS7ahUCZg0yXn/ddfRd5kvX/vnn6cERbNm9H361ltiDqzQKYDoKilJLFA0Go3mXEPVHv7hh0D9+lZDbxZrGjRIbDNHjfZe/+8/KpIBAG65BfB0Vy1fbi2IjRsnzUv374+Y1ooDkM24+QQ9ezZlDp96SpiRli4NlCqF7fvKWTvouRWKOzC2b6ckX9++9IP5Ii6OpDXt2FUxmSK0qCoIdNDmQk5uDmq9Tj5m249Zg7GYKOEu37VxV/w5lNLbVatWxeeff44dHiWd6OhomKaJ9euprXL48OEwTROlI4Hy0cCQe3vhtC1jwAuuFSuoBdlP91BA8Azo9Onu+0RERKBhw4a46qqrAADVbEoJgwcPxogRIzBo0CB06dIFAwcOxIAB1DZaw03Dtghx8RdHejqZVo4eTX6URQV3B6gUdTXnHnKSkuF5tmC8G6dNc6jmF26iMTcXeOAB+hcCzpxxdgdoNBrNuYI9sfu//5Fn5759lITePIYUrOrVcwqVXLhAGMhVrkx+cLIEwYQJ5EnXqhV1s8tC4RMnkkPAu7OFdO9vaO08QO7hT06mqE8+YMMAYmPRctZw9OoltfN36kSZxmBdzHfupEvZYoBxM+QNA82FUKKXjBKyEmJ2rqgeVSjruxxSvgxlDc7mnEWvXr0c91erVs3y3EM9xo1v9AOmTJmC0aNFNoQrROPHi8dnZ+dvcf/++3SpEj+w07FjRzRr1gzVq1e3bOfArHz58qjqkTeqX78+KlSogHJhOnTy6adUxWBvXxmeezVNaiM4dEh4ZRUGYVic1BQx7doBv/xCc22//ko6HYBVnOSbb2ifZs1IMTkQUlMLsaJrGGofnzyigzaNRqMR2Ec9/je2O/rtJcVs2f4SAHb+VRqX4hesa/UIkEDbGjUifY6oKODZZ8W+rW3x2OjRQLdu1m2/40L8D1usbuIvvAB89ZW4LXVcJCYCqSm1vLf//BOkmn7ggKhIREcLZUvA96zd99+L6+vXUxQKkFeOm7RmmzbAkCH0y3n44WIvRawrbRKmNNS2eLdQDYmJisGGgRtUDwEAb/tkZnZgSjXjPGXivu2drYWctNi0SWxjVcm8kJYmEhCOhZus6DO/HLCUepNr1KgBI8A3dmRkZFi2RwJkA3DjjYAvnZTUVGDbNpqZLUxq1KCKn0bD/PgjfZk2awYMGCC+Wy67TOzTtSsldFhhORCCqdSFG5mZQoFao9FoznVUAna+rIw24lLMGbzesq1sWWDECP+v9d131tt340Oa3Rk7Vmy86CLr7PKaNd6r8fFAc+z03vZ2Kh4/LgRRnnjC+iJpaU6FrUmT6AvxscfEtvbt6cstNRUYPhw5iMBs3IsDiIeDGTOA4cOpla2YG33roC0AWlRrgcvqXIZjjx9D5jPOwKxsJKWC3/j5jYCeb/UxMp/NyQXibHMgKrGbEyfyvvCStVAs8vLfNAV+uAwJCQnYvHkzkJ0O/Peb4/H+OHnyJH7//fe8HVwhYffDk+EZWqBwPdyOHXNv4dScm0RGqgMUVf6kdGln9d0+hsqqY3bD7uKErrRpNBoN4Sb570/Ae/YHzqX+m2/6fz1ej8pjZht3ROO770j81zA8djSywrhnHkeerWO2bgVaX5CEA/tzgb//po2qFrDISKtC1/Ll6gOMiwPi4nBsTzKexKsYiNmohwNYj8vV+69ZU+y/UHTQJiFX2mRGXE4piaqxVVEm0rmq4hm3/cn7AzKbXvQNpS9KRQCHDh3CMak/101N0G65ESjyDKb3uf/9CkjZBZz8Fa1bt8YN17j7sAVKsso8MUyQVZQ+/9x635494vrGjYVzPABV8t3OQxqNnVGjgMWSZYhhOFtsFy8GdkhCX1w9Pniw4I+voNCVNo1Gc66zbRu1w7tZuPTs6dw2bJi4/ssvwb0ex2Cc8PvtN9IuAcjsu3Nn6voAgP79gQP/SplFjwiJQ9kSwODBQMK+ipiBIaLP8447qL3yhReEkzgglCcBoFYt+KL6TwvxOoRA4KZOo33sXbzRQZtELZRXbo8wfP+a5FbC4d8N9/s6cXFxQIXm2HrAwKRJk7zzY7m5uTh06JB3cSZ7X7dtq565evppYORI53ZGrtB5vcvW3WLZZ/C10o2cswgGNhGfMmWK6z5paWn44IMPkCH3LRcyCxaQuJF95FDWW/n558I5lhKmQKspBF56iczhfVGxorWqzGKwLBV9/fVqb7hw5exZICtL+7RpNJpzmxYtqJrm5u2rElXr1y+w5542zXrbNEmdUqZSJWtXksz8+UC9M7vFhosuouqbD8oiUyyEDINKiM8+a400T5ygF/3xx6DbRU537BLU/sUJv0GbYRizDcM4ZhjGDpf7mxqGscEwjDOGYSg00IoPD5n5rzi99etbjm3bj27HuNXjrFW4uKaIkj6AWVlZeP3111G7dm00a7YX27YBP/1knW2rVg1YulTcNk3y0/B4ICrhStuKFZ4P/JGVjn22HpCe88B8pNs9NXzgz3gbACZPnoz9+/fjHTd1n0Kgd29S45Rp1sw6yzZ8eOG0kvFr5GdWUaNhzj+fMrCcOzpyhER4XniBbn//PclGr1gBPPNM0R1nsPDnRNtiaDQajW/kwO2jj6xFK18kJDi3ySJX3KEVkPVKXBxQrZrfcZ6ycNF/6N/fevu334Arr7S2i9x0E/DPPz6f/6+9EbRAlgfCSwiBVNo+AKDQ3/NyCsAjAF4LxQEVJaVM5/DId32/U+wZHJ0+7ISxa8Yi+YzUQhhVAXHRIohbt24d5nkMmQYPHowWLSjDbJ9n6SIlENjryxcTJtCltzVy5XWW+1c9A5STWnx3/PwVypUrhz/dlHhslJX6gw8cOOBjTwQVDBYkOTnUbtqihbPqVaVKwb8+d5K++GLBv5am5LNvn1WYpHp16jiRgx25Dbi4+J7x50Sba2s0Go1vevYkX+rUVOqyMAxnd9bcuc7HuX0ftGtHHYonT9Jtf+fh7CzTe9LmoG3kSOA+zMKTeAXXNBSmw9/hJgzoGcRIjfyDTJtG/gYezqC0Y3e2f5OtAdYsSUfia58Vrkx4AeA3aDNNcy0oMHO7/5hpmhsBZIXywMKFGxveGNB+F1ZVq13kmrk4mUHv+uRMOWiLQ3kpWEpOTsYmT1ltxYoV3u0sJqCC5zgBdxGNZcvosmZNIMeuyAPgmuZAOWlmZPwUappet26d+wtL1JaMPXbu3Kncp4ncmxwGRERQ5UHlxZhVCO9inmUL4zFATSkC/wYAACAASURBVDGA1UfZ88+OmwBsIMmecIA/H7rSptFoNP6pW9faTm5PQt9wg7MAVaWKWAuxTzBA4yJ//im+R/4VMZcStqsCRKzUti0w68I38Aqexm1NhN/xKlyLuV/FwTNdY+V//3Nu+/tv6v1/8EERsHlKiSnwEU3u2EHKk6mpuKZLDOIfv71wMvMFSKHOtBmGMcgwjE2GYWw6Ho7Rbj7kA5f2XarcXmp8Ka/nm6XSFlneErTd6qLhXb68sxK8ezfNr7RtK7Z9+qnz8JOSxPUaNYDnnntO/RqSYmVZT9IiIyMDOPUbkHHUe9+PP/6IzEwqa5umiRMnTqB58+a4zHMGqOySsskN0yEuleS+/DstKDhoC5PCo6aYMnMmjQHccov7Pp6ZcAf+Zg6YTz8FPvgg6EMLCdweqSttGo1Gkze2bQNefpkCKbbf3SA5WD38MHDbbaTkL9ULHDzwgO/XkcXy2LYtMxNe9bcq337geMzWrYon2rhRnT3/91+qsvFIjkehKtWmRTFyJAlEmiZI/vLxx2HGlpzB6EIN2kzTfM80zUtM07yEDZrDinr1sG9DO+/N5lWb+9jZSnwF4Q2RcISahI+kHbHsY6+0RUQAsQpltItluUM6LEtA1qSJs0rTty/w9tvWbXYj+InsKA3gPsn/dorURlzWI0N/+PBh4Ls2wHeU9UhMTMSVV16JBzyf3ClTpqBq1arYsGEDrvAYHLp5u3GgF5kfh/ACYOFCcf3oUZpxk4VJCopOHnP1u+8u+NfSlFwaNaK5NbfhdMCa/ZSRVWXdME2abbDPghYWutKm0Wg0+aNFC0re2Zfcubn0r7QnUR8d7dt3WpWT/+MPtd0AK3HffDO8WbdcRbgxYIDihSIinH42gKO3c+Ed82HAxBqI7PtrrwF16lCwyG2dACUfSwpaPVJm4EDU/+5nvNaJxvMurR3gJKeN1u+StfzNn1jl3lLOSCoXUZQdiFP4sm3duhVpgayqbHArJCO73QNAhOcD+cl64D+XKg8HbS+//DJdyTgEAPjCozX70UcfAQBGeJwZr7jiCkR7zDwyMjIwdepUjBs3zvKcrBqZnZ0dVkbc8kmoWjVqIWUV2oKE+721Kp6moOnbV8y7yVXko0fV+8sUVYWN0TNtGo1GUzAYhu8gTbX/vHnkb82P48RegwbiNiC6iSpVgvcEXhOHHc85Zw7wuJt84WefWW+3awfDIB0SAOg1tAYAYHCp/wMAbFyejJEjReJdFpljJeWSgA7aFFQsSy7UBoJ4RwP4+o6vLbc3H95suZ2UKfUrRlB6Y9/sxti0aRPu8sj1XHcdCYVUU5R87JUzO7JnoGmSapxMrOf+zfuA8pUVrvEQQVu0bbbz3Xff9V5PsMkNRUZGIjIyEhs3bsR/noEZeX5OlvrPSzBakMybB7A3+MqVNKNa0F7hc+bQpQ7aNAWNYQDTp9OYwPz5wjvnp5/U+//xB2Uqt2wB7ruv8I5ThVaP1Gg0mvChTx9SK9+5k74fGjem7dw19N9/1GbJRETAu9C5CmsxFzZ1SAhLGge33241s/Vk2b//HkhMFJuzcqjV5LwL6IvivPNo+65dNM52xNrwFvBoQLgSiOT/pwA2AGhiGEaiYRgDDcMYYhjGEM/9NQzDSAQwAsCznn2KdW60QWVKG7Su0Tqox11V7yrl9mX9qQRmmWnbQ+YYZTJ2o02bNvj4449hmqZXhETlacbZDDtsbbFgAfDoo1TuliVX2ceNWzHTMoE6F7SwPMfmo3UAABfXpdst61pfo5dkcNa6tfi9dOvWDQAQHR2NVOlFp3nMPxITEy2qkW+++SayCkPtI0D69AGa27pgDx0q2NeM98TLpZ2iRxpNyKlWDdi8GahfH+jQgbY98IBIHshceCGpK9uVTfMx7ptndKVNo9Fowo8mTUihkbsYp0+nyzlzgKFD1Y8xAPTHR7gaq533GcD48ULA5LvvgKlTIRZLgGXBFK+oOXDnFO/Wsyfw5JPAnXcCl0huXm7CXcWFQNQj7zRNs6ZpmlGmadYxTXOWaZozTNOc4bn/iGd7nGmaFT3XC8HtquC4pv412DJ4C4ZdOsz/zhIVylKk37pGa+TkikpT+/j2AICv/vxK7Hyh5Nievh/IcfpWJMlKIh46d7befu894C3JGu7NN2mGU85Ov/ACsGvXLq9KZFomkB1hHd5sU51SF/06AObHwM9yh6OZ622BtLPY4wSeajPmOHXqFA4cOIBZHu3Vhg0beu/7x4/HRlHB1fgbbqCTyKOPFszrVKxoUazVaAqNWrXE9SlTAn+cvyp/QZCcTLPmZRRzvxqNRqMJD7hdcsQI0VZ/icr2uFEjfP1nE1mJ38uYMSSU8uqrtM4dPhzIadCYSnoBRFqc3KtrKzisXm1N/MmVwOKIbo90oVWNVq7CGr64qeFNiIyIRNpZagPs1awXykZSX+Kyv6Whs3hJLXJRfWADTWQ++OCD3s2ffPKJ4/ntQozlyzt2sdC5Mw2Ypqamev3Y0s8Ak6fPC+wHAoDsdEdQFghfSm6PsbGx3uv8c6WmpmL9+vUwTdP7ryiRPfAACoCZIUMAyd0gX6SnA9KvQ6MpNOQvr5ts7pvyx08W6QGAb74puGNyIyVFV9k0Go0m3HniCee2a65R7PDLL4hrUhNVq5JoiApZ8Xj/fgCzZuFMt96O7ys7vFxXdaStXCnWylFRvp8n3NFBW4gpV7oc0s6meUVHbmp4kyX4yzVd5O8PkWVAz549vZtUZtTynNr48UDv3r6PhzVB0tPTLe2RuSaAyz/07tdpovOxXn66C7kZTosGVo10Q64UdmLJRA9vvfUWZs+ejWXLlmHPnj0YP348xo8f7/P5ChpVAPzrr8CSJcC771LbZCjiSh20acIB2ecR8G32bt+3MEhN1UGbRqPRhDuqrqRrr5VujBtHXlWVKnk3SfUJV267jayrZs92ajQEC6+5FA1sxQodtIWYjKwM7DyxEyv20WxaXBnrqqPh1Ib4etfXzgeaNOd1ww03YJhnSO3YsWNeuXwnJ/Hggye8PcU7dqj3qkiaKkhPT8clF9D1xhe2xvHjx4E63b37LXd5PADg0Dd45dJZmDFItEi2b98enT29mllZWV4rAAAYqmhqjo2NxZAhQ7y3T5065Q3qFi1a5OPFi5Z27YCuXcXtUJTWddCmKUpYYGT+fJGESE4Gnn/eue/999PcQlZW4c+1pab67yTQaDQaTdFiGMDgwdZtllGe6GjyqJGIiVHPVcv89hvFeQ895Hs/S4DoAguSFIZCeEGig7YQ8+2ebwEA9y4ic6OYqBjL/fuS9qHHZz2oFfByyXciJxPIpcCtZcuWAIDXXnsNderUwR9//OHdLSYGAP4CUAWy192FF9I/Oxy0paWlef3Ypr07B1WqVAFK+Y4cEk9Zbw++WoijVKpUyWuaffr0aZTxDJ5UrFgRMTHWn5nn4aqzs6ONSlL2paixCWM6SAnBtGZ6Ov8dNZrCxzNmCoBkkVetEucJO+PGAdnZVGnmQnhGBrW2FHQQl5amFVY1Go2mOPDMM8E/pnt3wLPcDRjZ5LtHD7pkIZRAKO6ebTpoCzF3X2x1TM7IokCnz4V9LNsPJB8AStnEPTZShaqvZCpx8uRJXChFY4sWHQdgzVgw69Y5t7EgSYszM8TGSE+wFiFcedu2bYvyA62PnfAVXPnmm2+wZcsWAMC2bdtQ1uM3EB8f773OXHWVUNWsUaOG47nCyXTb5mvuwG5qnhdOn9aVNk3Rwl981ao5s5Tcydyvn1W4ZOxYkkseMIBGFOxzb6FGV9o0Go2meBAfDwwc6H8/mYoVga1bScJfFmc7eND9MTfeKK7Pn0+JR7Ye8EWrVsEdW7iig7YQM+VGqyRb7+Y0dGb3fGs5oyVQylZu2TsTOPS9o1IFwCvSUb++NWpIlqKISpVIZEcqzHnlT5uVWiU22itstbrio48+wviXrIYZM1fBQf369QEAzzzzjLcNMisrC7GxsRg0aBC6deuGiAjxturcuTPatWsnXkpeBXpICUX5qpCQD/XLL61iJYGi2yM1RY0vZdRRo6jd5Y03nPeVKUOVNyA0CQxf6EqbRqPRFB/qkHMUnnsuuMfVrk22NEyVKtaOEJlevYA9e6jTo3Rp4cvmi/fesz5/cSZ8ShwlhErR1lY/FiHpdEEnzPtdKDamnEkBcpxebNj7HlDrRsfm1NRUxMXFOfzb7rrrLnz77bfe271786IqDVFRZQFEYuWK5bAk06OlNsU+p4GIKDSOiETjxiOApBuAJeThlmO1crP8PPfcc4933u6Ex3q+Zs2a3v3GjBnjfDCAG2+8Eb/99ptlGxtyA0Bubq4l6CsK5s4lj5BNm5z3eX5UAMCtHgHQ4cODe/6UFF1B0BQtntyLgwULgI4dnSq1MiwK++67BWvAnZkJ2Ir2Go1GowlThg0Dtm0Lfk0EWIOv0qWB665z7sMt+ZKDlJJffqHvskmTaB6bFSOnTSM9lOKMrrQVIPe2utd7/b7W1tXNlXWvBLKd6pD4l3qOLrQNqJ08eRIAzY/JLFmyxPEUp0+nACiP7t3vBAB8OX+uYx8v/8/eeYdFcX1v/F1YOguIooKi2DuKsfcaC5YYe000Rk1MYmJiTPzGKIn+sMTEXmKLJcbeeywgdsWOiogCAtJ7Z3fn98fd6bPLghjb/TxPHmbu3Lk7uyxmzpxz3ldtB1gIYndnwev2kU//bir5a/Tw8CB9cQCGDh2KMWPGyCcrYF2Eo7Q0KNXr9fj3339l7/tlMno0cO0aqbeWwqp1Xr5csrXz8kiGwkh7H4Xyn2BvDzRtKh777jtlNdr4eOXMnEr1co3o8/OpRxuFQqG8KZQrR8rmzcl+FYWwXLKggARf5tKiBQnYALHE/2efKVeQvEnQoO0lkDgtEVk/ZmFD/w3cmNTzzd7KHnBpaHSNmzdvYpDgDqp69eqoXLkyWrVqJZv77Nkz0T4b8O3Zs5uc61oMjzWVCk9bH4DmMQAFP4vPPfzBMAzs7e1RVvCXuWXLFvlkI4wbNw7jxo1DMwX3xefPn4v2Hz16hIsXL+L48eNmr19asOn5774jYg0AEWEAgNat+XmmshJSWFNJGrRRXjXXrvHb9evz/5OTUr688v/orlwhZS0qFQmw9HryJFSnA44ff3GhEhq0USgUyruLTkf+v2JlBbxG0gevFBq0vQTK2ZeDg7XppqUT4ScAG4P6o0cfQCPopIw7DStLFapVqyY6J0bQndmoEV+7WEViAR8dHS3a/6aRQFGk31OT15WSm4Lqm/sjy9gNV148t2klcSkMCQkxuTaLp6cnPD094evrCyeJERMb3N67dw8HDhzgevmePjV93S+DcuWA5GRg/nyxUaTUhWHzZiIuYs5Narzh46NBG+VVY2EB+Bv8Gc0pQ2Qlk5V4/hywtARGjACqVCFyz8eOvdj10aCNQqFQ3h3OngWEz/8tLHjTbAqBBm2vkBzrskDfMKDDPqBvKH/gTDfg/BD82CMRakvlc/fvl0s7PnjwADNmzDD6enW/A+DoZfR4eEo4yi4Q57Vze9+HtlcI8hoVnVNu2LAhIiMji5wnpItEui4vLw9arRZ79uzBrVu3cNVgqpGVlVWsdUsLV1fyDwfAy/RLjYbHjiXCIuak3dmgrXz50rtGCqWksJljSZupIhUqyKx2ONj+g+3b+ZLJwMAXuzYatFEoFMq7Q6dORLWYYhwatL1C6q+oD2hqinvKWKL3oUz8XyiM2I+//vpLdrh69ero00fcdNamTRv4+/ujqqEY2EVivtT7g+Emr+fH0z/Kxu5kZUBdpj5sq/XnB0OXAveVa6mk5Y1F4S0x6bhx44bIbDsiIqJY671M5s4lP1esUD5elFEkUPxMW3p6OmetQKGUNv/7HzB0KGDwuS8SY2qO0gcZALBgQcmvS68ngko0aKNQKBQKhUCDtv+Q25NuY9fgXdx+ZLokK1VW3q+Gcx9gUMeKGN6GH/p7MoBdZXDo0CH07duXG3d1dSXrGrJd1atXBwBsv0SOL1xmvO/saepT7Lq/SzbuF+hHNhwFpZrBU4Bb3yuu00lYR2gG0l6/J0+ecCWRpkhPT+fEWf4rdDryc+VK8nP0aPHxl1Eeee7cORw8eBBLly6FltVap1BKCWtrkh1j/RyLYqxBW2nZMmDIENNzX4T8fPKTBm0UCoVCoRBo0PYf4l3BG4PqD4KbvZvyhB6XFIcdLvbEtsl8be+INgAKyaNxVpgkLy8PTySPuzMziQDJMINohqWlkVpLAEfD5CqUAGBnJTAAbyCxvGfkChz57N1WMalTpw63bU5v3OLFi7F8+fISvVZJMcTEHBs3ivfv3eO3dTpg61Y+0AsMJNmI5GRSZmkn8VU3BmuPkJqaiu3bt4uOJSUlvbKyUcq7yRdfAAcPAp9/DuzYUfT8ksL+M0Il/ykUCoVCIdCg7RXwZIpCLZEZ6LcClSWBQ62yWbgzDxg1cphsflhYGALNbCz54tgXov3YqaQxpYGbwALA3lN80uM18GeVDASYkykT8vPPP2Po0KFFzisoKCjWuqXNcEl1qaUlMGECv88wwIMHJDjbto1k4nx9ybFOnYAaNYjcv6Rq1WzCw8Ph5+eHjYZoccWKFVi0aBHSzK1to1BeEJUK6NuX7/OMigJ++cX4/GfPgNBQ48elWFkBzZrRTBuFQqFQKFJo0PYKcLR2RN/afeFT0afY595Y257fyUvEYI0/GnkCHR0PKM7v3LkTACAkWvGwIlFfR8FdQ4yy191Yxx9QSxpaMh5h+vTpsuzaqlWrzH8xkBJJaZmkEv7+/ggLC0NhcQw7ShFbW+Crr8RjlSqJ9+vXJ8GZn6Gq9MQJ8h9LQID5pWh6I14CUVFRov0lS5aYtyCFUsp4egI+kn/GbGz4/s8qVYC6dcWm9EowDDB5MuljCw7mzVNp0EahUCgUCoEGba8IF1sXpOWZyJB0P6847JYXxO+kBHObd58pTAaw2+BMfzPC9PV0rcbbz3s68xm151kCYRGdxAw8Lx6q5ydgbW2NW7duwd4gr7hv3z6cO3cOeVJt/CKoW7cut92kSRPFOdu2bUN6ejq3X5ysXnJy8gtn65YsAW7e5P3WrBS87AAgPJzf7tlTPG5h5l9duHARCcXNZlIoLwvh85bJk4GrV4maqpBff5Wfl5ZGhE3OngUyM/leUQBgq36LCvYoFAqFQnlXoEHbK0Kr1+Jp2lP5zXfPYKD2F4BbW8C3iN6udP74n+MBJ0GflJUl4FkW+LA52R/VzvgykWmRCIgIgMZag4TvEoxPLEiVnPgPENALYBg0btwYoYY6qFOnTqFjx46ws7PDgwcPTL8HANevX0f37t1FGaPExERue+LEiUbPNSfrptPpEB4ejuXLl2PDhg1Fzi+KJk0AN0Nb4qNHxT+/oXFPdRGsD54wSGWR+tbFx8cjIyNDZrROobxsvLzIz+7dgeXLAW9veS9aquCfjoICYOJEYN8+IDsb6NLFuD3AK0qqUygUCoXy2kGDtlfEP/f+AQDMOz9PfMC1KdBsGdl2rm96kZvfiXYbClrO7v/ugKil5l2L1xIv6BgdMgsy4eYgF0nhAssa45UX0BLBk0rSWkEAXwnrCQtSAW2ObE7z5s1x6tQpzpMNIJ5vrVq1wtixY1GmTBnR/CtXrnDb5mTzTp48ia1btwIgwU1p8tFH5GfTpuafY66AQ04O+ay2b9+O2bNni45Jg+H4+HisWLGiVIJSCqU4NGhAMmUnT/JjqZLnO0LD1E2bgD//BMaN48cuXlRe++uvS+86KRQKhUJ5k6FB2ysmIDIA+dqSKS5KOf73XLjYAwOaATXLZZucq2f0WBu81qzXnhtkaFCxKas8wZCBU+pLO3XqFD744AOys9sV2OkA6JRLFHWs1CKABQsWoEePHqhSpQqsra1F865fv85tZ2ebfp8AEWQREh1djAa/IujQgZR+CfvWSotbt24BAHINDsh//vknd4wdY9Hr9VzpJxtkZ2VlGe2LMwc/Pz/4+fmZ9RlT3m2k/m3sn7wQwzMIlCsnP6bUu2ZrKy+zpFAoFArlXYUGba+I65+SwONk+Em4zDdDTvBDE2WLBjThc3HbH9j7jfyYdmCmaH/P/T2YcHgCqi6uanS9KS1JQ9zMszP5wdabgaa/A1YCNY0C0+qFQrNsAEDaHW7Tj1XsMLBkyRLcu3cPhw4d4oIQUyIlbDbK1PFUyWN/Yenli2JhAfz0E7kRXbWKZAyCg4kAwyefKJ8zdap5a8fFxQHgs4mxsbF4//33AfC2CBUMhm/Cz1ir1aKgoACLFi3C/PnzS/K2RGWnu3fvLtEalHeXunWBc+eAy5f5sZQU4gk3apR4rlC4R8j69S/3GikUCoVCeZOgQdsronqZ6tx2ntZEiV+FLqS/zdYN6HjY9KLu76OKwlNsAFDbiB+FP8sgvU/x2Xy5YPoP4t6pOmXrQEphlWHQ1v4S6HUD8FlEBu/O5o7/9ddfyhcg7N3Li+M2pWV/qamp2L17N7RaLdq3bw8parVatB8TE6P8egb+/fdf2djBgwdNnlNSJk0CWrcmpZKRkUDt2vyx2bOBI0eIUMOiReatx/rsCTNsv0oUHWoLX8RATEwMFhlepKTCK8Lyy//axJzydtC+PdCyJe9n6OlJbDOkz1mM6e0Mk7uYUCgUCoXyzkKDtleEs62Zuu9dT/NKkpV8gRZr5SbXdQyNH5qaZr++NCBb2H0hnGycRGMWKv7rwQaW1nOsYfWrFZIsnLDvuaHsMHo/N2/w4MGoWrUqqlWrJlrr7iVBJigpGNu2bROV7jVv3hxzWZ1wA8Iet6lTp+KHH36AVqsVzTl79ixXxqeUdWNLDKWU1AS8OIwfD8yaRW5SZ80CevcmQg2miIiIwLVr10Rj9erV47alvnsdOnSQrZGXlycK1kqiNCn8nG2o7jrlBahSpXjzt28Hnj83X2WVQqFQKJR3Afq/xVeEMCACgOux15GvzUduYa6RMwzUHA80ngP4/MaP1f+B/Hzwm+IpKVni/cz8TPT5p49oTGOtMXmNf1z6A3228ee4LXTDzCurZefY29sjIiICT56IDcSPLx/Abe/bMBsjR47E999/z40tWrQIM2bMEMn+i65PoykyeAgICBDtS7NMkyZN4rb37Nljcq3SwNWVZNjs7IqcyrFp0yYcPXpUlCG0sbHBwIEDAQDDJQ7f0swjANy7d0+0X5IAVdhHWL16dRMzKRTTSHSERLhJdI+ysoChQ4GKFV/uNVEoFAqF8qZBg7bXhNH7RsN2ri3s/8/evBO8RvDbltbG53U4CNcR4gDq3yfykkErS7nhmG9tX247MDIQR8KOiI6HFFF5FxsbCy+DHniXBvx4lKHabpGgTrBt27YASHZNGvAJKV++vNFj0gxVZGSkaJ/t/wLw2kvjXxTI6en1euwwSE6uN6PRh+13Y7ksbCwyg8ePH4uC2ldlZk55O5Ak3TkYBhC2l3p4UOERCoVCoVCMQYO2V0jhzEL80ukXAMDDpIfcuMkeNxY7d37bWvIou8angGsz4MNEoHJfwFF811Sok9+EWysEfh4aDwR+TMrxLkVfUryM0yZ0QNzd3TmD6HzBSzpLMk/+/v6wMNRCaTQaUWmlNEs0cuRINGrUCFOnTi0yAxQbG8ttN27cWHTM29vb5LmvC3FxcWAYBpaWlrJj7jaxCmfICQwMLFZv29GjR7ltJyenFzYkp7zbuLgQDzd/fxKoxcWR8kcAWLeOnydJlFMoFAqFQhFAg7ZXiNpCjbZV2srG0/JMqzFyjGDIfwBRdWTJiwN6XgNslVVJhu3hO/w9nYi525AGQxTn+lT0AQBk5GcoHr+QC+gZAHqd4nE2GNvHq/RjfGfxHGlmCABcXIiiplSe38nJCR9++CE0Go0smPDy8sLevXtx9uxZZGRkiMol+/fvDwCYPn266Lped7RarSzgHFxxJ5zVafjEc51svlBARBj8miO+8vDhQ/j5+YnUNjMyMhASEoL79++X5PIpFADEw+0HQxV3hQp8+aNQYdXZzDZfCoVCoVDeRd6MO9e3GJ1CsJOel64wswiqjea3q481Ou123G3R/sMvHiJpWpJipg0AHK0dFcdZUvSAhQpAoelrtpVUX1oJEkdKAdQ6wyN4Ux5hrq6u3HalSpUQERGBu3fv4ty5c/jjjz9Ec1nbAFtbWwDFLxn8L2DVIoVcu3aNXHtBGpLCTuPcTKC+5j6+rrYYlioi5CL8HNLT+d8DW3IKAAkJpi0jGIbBqVOnRGPsZwUAu3btKt6boVDM5MYNYOZMwETlM4VCoVAo7zw0aHvFVHCsIBvrv73/iy3qOUBx+N/wf9FkTRNu/9Omn8Leyh5l7Y2YZsO0RxoAJLMxZ75xWfi4uDjYWAFaHfCPoVWrrED3pGvXrrJz7AzqHWPHjjWqfihUThQac0uZOXOm0WOlya1bt0ocDM6fPx+DBw8GADx69AhnzpzB9evXkZFhyHCe7oyyV7uivYJOy5kzZ7Bo0SKsWrUKnp6e3LiwfDQxMVGmvCnkxIkTMmn/Ll26cD2JgFyFMjQ0FAsWLKA9b5QXwscH+OWXV30VFAqFQqG83tCg7RXjXcEbfWv3FY2FJoeWbDHHGkDNiUYP34oTy9//2fdPIzON0616N267V81e8CzXiOwUpBo5g4iH2KhJX9v+YDK27vfvYWkBtGrVCqNHj5adwwaLN27cwPHjxxXXLVuWDzZNydr/V6WQBw4cwIkTJ4p9nlarRV5eHlq3bg0AePLkCc6dO4fDhw9j0KBBZFKqsnUB9Drs378fmZmZiI+Px7Zt27hD0oB7/vz52L59O/744w+RcicAXLlyRbZ0s2bN8NFHH6Fy5cqwtbXFL7/8Aj8/P+6z3r59O3Jzc5GWZmY5L4VCoVAoFAqlRNCg7TXgaszVoieZQ7/HQAu5DD+LVm8802IOGT9kYN/Qfdz+QybZPgAAIABJREFUkp5LoFMb5N608tI+FlXyNUzrAzjYAsmGab42C5CxDqhRo4ZiNk8oQHL79m3ZcZapU6di2rRpiI+PVzxes6bcu44tG0wUSteVIqGhxQu6T548Kdpn+/kA8vmYRPC5+/v7y8pJNRo+panVahEaGoqMjAwsXLiwyOtify/R0dHIy+PFce7evSual5SUVORaFAqFQqFQKJSSQ4O214D4bOWAo7Qpqj/NGEdGHMGOQTugsdHA0doRo71HY0XvFahVthaOR5JyQL9/pxpf4GRLbvPQKV6RxN7GeFmjoyN/rVVMuPNqNBrY2xu3SejUqZNszMqKNNitXLnS6HnGSEhIMGlJAJAMlJ+fn9lrSsVWhEHsp2M+BPKM96Nd3sCXwv7www8YMkQsKDNxovHMa1FERUUpjkszl1LDbwqFQqFQKBRK6UKDtteAZ98Qz7CN/Tfi5w4/A1AWKHlRWAXImR1m4umUp2af17tWb5G65OYBm/F588/JmkQLA5Wy7pi1ll15sdT+/J/GK87r2rUr5syZA4AEQabKHwGgY8eOiuNCMQ0WNmgrCatWrcKWLVtKfL4Ser1etP/48WMAQFhYGCz2lQf2ivseY1VNue1WTgGiY2XKlMH58+e5skoHBwesWbNG9pplBI7HQvGSJUuWIDk5GRs2bEDVqlUByINmNmhzdye2E/Xr1y/6TVIoFAqFQqFQSgwN2l4DKjtVBjOLwcdNPobGhpSz5RSaMEArIen56bBV2+KXzr/Ay8WrVNbs702UKsc7AwgaJJ9QIFCVbL8XsBAHTFXClTNBKpWKyxIdOnSoyL609u3bc9vu7u5c9kqorMgi9G8zRlpamky4Q1giaA5xcXFFlg4yDCMr7QwLCwOgXNoJACmNNsFjsnhs1apV3PapU6dQr149bl+pdHTKlCk4e/YsAGDx4sUAgPv37yM1NRXLli0TZdl69eolOnfXrl1ITU3lgk12HQqFQqFQKBTKy4EGba8ZGmsStDnNc8KZp2dKde20vDQ425SuGVL3OgP5nWd7gBxJQLTb0J+lqc2rWnYN4I9nhQPabCDmKKS4WDzHlz34fWFGSEpwcDC3fe/ePWzYsAH+/v6oVasW7twRZwGfPXtm8j1ptVosWbIEe/fuFY0LvcqUlBilgeWaNWuwYsUKk6/18OFD0f53332HL7/8EpGRkUbPadiwIeIzxK/Fqm2eP38eALEKYJFm8liWLVsmKsWMiYmRzUlKSuLWFrJ06VJquk2hUCgUCoXyH0GDttcMoV9a181diywLLA7p+elwti3doM3SwhLLheKBCQHKE6sIeq0qSEoZL40BAn2BLEHJ5n5PqI97Y+kYQG3wdFPyMWOJi4vDwoULsWzZMixbtgx6vR75+fkIDw+XmVOPHWvcxw4AF4wIjaoBkvFjiYiIEB3T6/VGgyNTCPvZtm7dCgcHByxdutR4H1+73QBIr9qFR8Cpe2SY7eubN28eJncHasd8VeRrC98PAK4c8ulT/veQmJgIGxsbxfOFJtw0gKNQKBQKhUJ5edCg7TWjTrk6ov2QxJBSWzs9L73UM201XWsiSph0shKsLwo4JcHnCMH+M0NGSy/w+8rhgxkHQ8xgSu0xJSUF2dnZMq8xFqHgiYuLCzw8PGTjLEq+Y9KAjPNPM8Bm3rp164bKlSsbvU4hubm5uHjxIrfP9rIh4TwQewzIk5RWttoEVCGZTY1Gg+bVgW4NgcCZfKatUqVKWP4xUCZPrEiam5sre/2mTZuKSh/DwsJQq1YtUb9bUlKS0aBNiDETdIZhTBqkUygUCoVCoVCKhgZtrxnuju6i/ReV6ReSnp8OF1uXoicWg5quNeHtIFClfH4Csc8v4klKOFAoKGdMDJKf7DVSvK/Pl88BsGPrWgC8VL8SxoI1FicnJ1HQx/a1CUslAwMDERoayvV4CZGWZkqzVGygZ2VlhebNm4uOKWVLGYYRWRmIet9OtQcCegOpN8UnuTTgNsuUKQNrNdnuUBdISiLvrVy5ctycmJgYBAUFcdsAkJPD90r27t0bLVvyyp4ODg4ICwsTKXempKRApVLh888/R79+/WTvg0W4rpCrV6/it99+K/L3Q6FQKBQKhUIxDg3aXjPKO5QX7edrlQOZkpCWl1bq5ZEAEFcgyEw9WgaPs21R/XhNIPogP954nvxEH4lXWKGh/FEnLrXT2JKgRylbxJKSkgJLS0ujx3NycmRy+IC4rC8gIADbt29XPN+YNQGLMGgTioAAYs85loiICJER96pVq+TWBWffF+1G5/CBY9myZbH1PH9shA2xXCjnygflnp6V0aFDBwBEPGTv3r1Yt24d1/cmxdqalOZaWlpy/nBslszNzQ0+Pj6yc1hPOWPZNNYe4WV54lEoJUGn0yEkJARZWVmv+lIoFAqFQjELGrS9ZjhYO4j2QxJDsOf+nhded8KhCXiY9LDUyyMBwKPNGvyqlEi5/BH52XY74NZaftxaoux42dBrphNnbSrnn0BRpKSkKCpFCrly5Qq3XbduXQDyvjVjGBMUOXToEPz8/PD3338DIEGblZUVpk7lfeuUXkMagOp0OkVpfiF1NnSFxp8I1djZ2eGxQBTSmkkDGAa2Kr7vz1Yg1Hns2DHcvn0bKSkpOHXqlGztGzdu4NSpU1xp5JkzZxSvU8qoUaMAGFfkVKvV3PujUF4X5syZg927d2Pr1q2v+lIoFAqFQjELGrS9hhwdcRS7Bu8CAHxy8BMM2jUIU45NweXoyyVar1BXiLU3SInhywjaRjT+COszTEwoI8/QAAAsJb1SmY/IT60haLMjfWdalTiQlbJw4UKsXr1a1IulJEMvDEC6desGALh16xYYhsHp06cV1y4oKBApRdauXZvzeUtJScGNGzcA8OWNrBqjRqNB06bET00pSFLKCg4bNkz5DdqUBQDkMEBWQRbuxBM1zBY1JPNij0CVzxtx2/GaNnBycgJAVCXZa2Y5f/48Dh48CL1ez5VRslk/adnj2rVrcfz4cW6f/cyNCeaw/XC7d+82Kaqj1WpLJORCobwISnYYFAqFQqG8jtCg7TWkV61eaFKxiWhs6dWlaLO+TYnW+7+g/+O21RbqF7o2Y9g41zJ+0Km2+QtFbAP2VyLb3sRcu3r2ZnQ0VBxKVQo3bdqE77//HgDw6NEjblwoBjJ06FAAQKNGjbgxYd/WhQsXjJYM+vv7Y8eOHdx+/fr1ufLHZcuWyeYLA7xmzZoBIIGP0JIAABIS+ODqwIEDqF4eUN//FWDkgUvDSBWqCYQ1k3KSsHbtWq6njSOwL5DP98bZKwRtzZo1g4+PD95/ny+9FJpjs4ImxoK2mJgYXL7MPzxgbQ7u3bsnu25AbG4eEiIX1WEYBqGhoXBwcBD111EoLwvpw4HiZIHz8/OxatUqRbEiCoVCoVBeJjRoe01xsJJnlxipAqOZxGTy/lulqUYppKxdOeUDru+ZPrHFGqD+dH7/okCcxJK/4Q/4ifxke1AYhgHDMPj4448VlxV6pm3fvh3t2rXD3bt3uTGhIqKxLBsLp+oIEviZ8osTvq6zM5/VPHz4sGgeW3546NAh3Lx5E/dW1gLu/QKkG7zgBCbkIZlJiBDo0STlJGHIkCHo7g9sviopCb3Jf5ZPBXoqbNDGIvRek4qqAHywxQZtGzduxKVLl0RzCgsLkZKSAsC4F5xwfM8eeZnvmTNnULduXRQUFOD69euKa1AopYk0SCuOuumiRYuQkJAgMrOnUCgUCuW/gAZtrynGBENKIkyiAm+gnF34cuTXXe1cka1XyQ/YuoNhGGy8uREZ+Qo1lDUnAE3mAWqlEkh5kJqVlQWGYWBhYYFateTZvRs3bmDUqFGoWrUq1qxZg927ia8Zm0kzllGTwpY2CmnevDksLCzQokULo+c1aMArPLL9XFKET+kfPXqE4cOHw87K8F7ZTJnPb0ZfY+juoSjnTYJkVaPZ4oOpfOmjWlCBKQ3ahDeqkZGR8PUB+giqWNng8+nTp8jNzcW4cePQpg2f6d24cSOWLl2KyMhIeHl5IS0tDX5+fibfq1ImTRowFhQUUM83yktDq9XK/n6F2fGiYL/PQo/CotixY0eRD4YoFAqFQikKGrS9pthb2SuOX4u9Vuy1LC34u/dNH2wq8TWZQmOjQat4J/zmPBJfJQgOOFRB8PNgjDs4Ds7zTPTTKfU7OVSVDaWmpiIvLw8AEB4eLjqWkJAAHx8fbNmyBZaWlpgwYQIGDhwomiMs95swYYLRyxEGXyydO3cGIC4nBEj2rVWrVpg+fboo02YsaDt37hy3nZmZSYIhtmz1NHkNPNsnO2+092hue9iZYcjKysLoT74EKnQx+j769esHS0tLUWYNgEgJsn79+jj8HXDoO/n5W7ZskataggR6mZmZaNq0qcxofOvWrfjnn38AkJtc9nwl2f8lS5YAANq1a4fZs2fD398f/v7+Rt8PhfIi7Nq1SzZWnIcEDg6m+2uVePjwIc6fP4/Q0NBin0uhUCgUCgsN2t4w7ifeL/Y5hTrydDj/p3xUca5S2pcEAKjmUg0PsrMQzmiwTFg96LMAOYV8oKRX6NkCAKgUvopuYl+2Rp7A+vXrjcp0u7m5Gb0+VjxjwYIF3Ji7u9gT7+TJk9x2dnY2GjduzO1/+eWXosCH7ZMDiDdajx49RP1bgLhUEiABGiDvE4uMjARUkgCvYlfZe5CWzPpdNGS2usiFTlgOHDigmElg30uLFi3EZYv5KYAuz+h65hAeHs71FxYWFnL9g8IyUymsMIyQwsJCTiiGQikNVq9ejQ8++EA0duTIEbPPr1mzJrft5+cn6k0tCmN2IhQKhUKhmAMN2l5j5nebLxubeHgiAOBK9BVk5mfKjiux7uY6AIC1pXURM0uOk40TdIwOq4NXAwAmprvhR11jzLu8DB3/6sjNS89LR3BsMBKyJTc7WnkgpvJToV8OLx7i5kR8v9g+KiG//vqryetj/cROnz6NwMBAxUCA7am6ceMG4uPjRebXUjuBqlX5LKBQ1ETKTz/9xG2zqo1S5chPRvQC0iVCHrU+Axyq4noB39smtYNYeNHgc6dSKEtlSbygOKxSqTBz5kz07NkTtWsLhGL2lAV2Fi+bEBkZyW1HR0dz2ytWrEB+fj7n/waAy5KydOnSxai/3unTp3HgwAHO6604ZGdnIygoiAZ87yD5+fncA5jAwECoVCqEhYWBYRh4e3vL5gu/s0UhfQBCe9soFAqF8l9Bg7bXmGltpiH9h3RZqeThR4fRan0rOM0zyLjHXFPMYCXlJGHFVWV/sdLGyUbcMxWh8cHZfFv8ePpH0bjrAlc0W9sMFX6rYNa6h2J48RCPMuSpOOuxxnLw4EFRcKSEMOvVqVMnfPnllwCAqVOnonz58pg9ezYKCgowe/ZsHDx4EOnp6ZwC5ZgxY2TrCbNqKhNBk6WlJXx9fQEQ826AN7FmhT3qPpBn1aB2gLbvYzSP5HvC8rX5+LTpp9y+yL6hpxERj0xDdkuvA/Z7Age8uEMWFhbk2qWBDaMHdPmKwTEAvPfee9iyZQu3v3HjRm57586d3HZSUhJyc3NF5ZXz58/HkiVLsGfPHly7dg0qlUqk6sly6dIlrm9IWn5ZFKmpqfjtt99w5syZEgV8lDePgoICrt/s+++/R48ePXDq1Cl06tQJALHqmDdvHh4+fMid06dPn2K/jpICqimePn1a9CQKhUKhUMyABm2vMSqVCk42TkibnobCmYVceVzff/pyc04/OY0W61rgj0t/yM6fdHgSvjj2BQCgUXn5jXFpsu+huAdLY61BVoFyGaOQPK0h89J2h2g8QqCo/dzwcHvLZy90iSJYs2xra2tMnjxZdjw9PZ17Kl+unFwZUxioScsgpQgDPD8/P1y4QLJfxp7wp1abCFja4vdLvwPgf3eJOYlY5bsKMVOJGmh6vqAOVarSyQqZxBkEEFKCgZxoIDuS98FjyYuTX0Tuc5HvnZCBAwfKPOXYviA2MOWWyc2FtbW1qJw0LS0N9+7dw9GjR3HmzBnFTOXJkye5Esvz58/Dz8/PbGn2pUuXctvSUlTK24m/vz9++41852/dugUA6N69O3e8f//+OH36tKi0+u+//0a1atVkWXRjlCRru3nz5hdeg0KhUCgUgAZtbwRWllZQW6gx2ns03OzFfVsf7f8IALDh1gbZeXFZ/M24by3fl3qN/ev0F+0zYIq0F7gcfRl2c+3wb/i/QNUhOFNAbt69I4FqEYK1Y02/dqVKlYq8PqWyKIZhsHfvXsUbqYyMDDRr1gw//fQTNBqN4prNmjWDo6MjGjZsaPK169SpIxuzt7dHzZo1RcIG9wvV0DwGXE+uAQD8fPZnAMBnzUi0yoCBpYUlPDQesFSRksJum7shqyALOj0f0AyIBfQ1J5GdiC2AXgvcF4h7ZEeIL+b2/+QXfbAakHgBf/31l+xQamoq1Gq1SM5/3TpSgisNwNLT06FWq8UlmALs7OyQkWHKmZ3n2LFjZs0TEhYWVuxzKG8m7IMDodCPhYUFevXqBR8fH7Rv3x49e/YEQPwdu3btCldXV+Tm5pq1vrGHBsURMimOUiWFQqFQKEJo0PYGYWdlh8ScRG6/omNFzoPtWfoz2XwbNe9Flqs178akpHxQl2/u/6bVNzj++HiR5wRGBAIgxuH2c+0xLkGFdVatcFdyDyS8zfEQJH9iY2Nx/fp1RXl+KTY2NrKyyo0bNyIxMVFxfnp6OlQqldF+KwDw9fXFt99+C0tLS9y/f5970i/FyspKNmZtbY2MjAz07sAHdJUstMgyxI/BscHI1xF7h0/f+xQz2s3Akp5LuLkrfVcCAE4/PY1FFxeh5bqWUIUBqjBgfzaQVijoHbvxLRC9n98/0Up8MQlBym/w33ZctkKowtm+fXsAJNsYHByMHTt2ICEhAdHR0SJTc+H7N5aN/P777/Hhhx8qv76EtLQ0xfGkpCROVVRavlacfiXKm09SUpJov3379opWExEREcjLy4OTkxNyc3PNCrzYUsfWrVuLxvPzlW1YlMaLY+Qt5NatWzRrTKFQKO84NGh7g7BTi2Xb47LiMN5nPACgR80esvlnnp7hts9HmedPVlJcbF247d97/C5SjFSijG0Z/HD6BwCkRy9Xm4vI3Ewc0VdE4rREVHbib/4HtZ3Lbccs59dwcnLCe+8VYd4tYOfOnRg/fjy37+XlJVN8ZDFloK1E06ZNMW3aNMycOdOs+WlpacjIyMAnrXhBlvkC66dOmzpx22oLNeZ2nYuKjhW5MaEK6OzA2bBVi9/HiL0Ck/JHS0XHoJUI2HgOMHqdHh4eYBgGEydO5Mb69ukD5JD0Z9OmTTFkyBAAJOPAZg6Fmc3iSJ2bCrJiY+Up1127dmHFihVYunQptm7dyvnysSh5+VHeHgICAkSCQdJsbPny5WXnqNVqMAyDpKQkLjOcm5tr1CCeZdu2bQDkD2GuX78uy9ZnZ2dj3rx53D778KckPZZpaWnw8fGRlSRTKBQK5d2iyKBNpVJtUKlUCSqV6p6R4yqVSrVUpVI9VqlUd1QqVdFpD0qJsLOyk42xypBSOXgpDcrLfcdKEwcrB7Sr0g4b+pEyzRaVxAa2IxvxQUQV5ypIzVM2p41Ii0A5+3II+CiAGxvtPRpXJSr0+/fvL7ZnUqNGjbB27Vquh23v3r2iYITFw8Oj2EEb+1R9zpw5isel9gIAEBwcjOe5hpvKnsGYJ/hIiuoHlAq/XIq+JNo/EX4C+nrT5VYCSqiVyz8BEFESSMyE780B9lcCcmK4ofnz56N69ercvvCGlTXQFqpIGiM+Pt7osdzcXOTn50Ov1+P8+fMoKCjA/fu8BUZMTIzsHGrU/fZSWFiIwMBA7N/PZ5G1Wi33992uXTtFv0W2RHHSpEmc9cXly5dhbW2NEydOFPm6NjY2ov1z586JvocAZCI+bIl1SYI21iqE/TuKjo6GTqdDWl4aVH4qrLy2sthrUigUCuXNw5xM218Aepo43gtALcN/EwBQDeSXhCnJ/uzCbJyLPIew5DCk56Xjr1t/iY4v77Vc+cRSQqVSIWhsEMb6jAUA7By0U3R864dbue1pbaYZXWdxj8UAgBquNeBbyxdONk5wsnFCVUHsceXKFfTv39/ICkXDnsuKkQDkRu7IkSM4fvw4HB0djXrBlRRjGZ/U5/dJYFWmCYojUSAN2lj10JwZfIbzYWYCwJjRQ6OTlM5W6sdva3OA619hsE6QuXtuyGZk8cp40rJIYe9OQkICWrZsidq1a+Pvv/8GwNsfCLlz5w5OnTqFa9eMG8iHhIQgJCQEp0+f5tZSokWLFihXrhynKEh5+1DqhYyKioKbmxssLCwUvf+ksA8SLl++DJ1Oh2+//bbIc5TUYsPDw0X70j65HTuI0JI0uDMHYVnknTt3sH79epw5cwbPM58DAJZcWWLsVAqFQqG8RRQZtDEMcw6AsvY3oT+AzQzhMgAXlUolTytQXhhWfAIAhjccLjoWnhKOjn91RO3ltTHu4DiMPTBWdFxjYyKb8hKo6sL7mA2oS8rvLo67iOhvolHWrqzR8zw0Htz24RGHkTo9FY7WjuglqIxrUevF/Oays7NlY5aWlujduzd69OgBR0dHxTkvgrSMk/WRqlPZFrCrCGOFWfO6zlMc11gr/z6F2VitpUIm0s7w+ebxvXzalGDxnHY7gYrvGw5mAo+WQcVo8cNXI4lBsIUh06Dn05+DBw8WBbrS3qKrV68iLy8PYWFhnK3C7Nmzsf8EnyXZu3cvcnNzRSbnarU4U3jo0CEuqxkVFSU6Jsz0de3aFdbW1kb7jShvPmwGSglpNkxIhw4duG1hcGVnZ2eWpL9SyeWzZ+KeYuHfQmxsLK5cuQKAiBcVF+Hf0r59RKU3NDSUCx7ztfQ7TqFQKO8CpdHTVgmA8P9Y0YYxSikjlHhnAyGWm3E3ue29D/Zy22092+LJV6/Gq+rJV0/gofHAHz2IHUFrz9ao5FQJ5ezlEvos1cpUE+1bqCxgaWGJx4wgSLkqL2ksDpUqVUK7OkBTL+XjDg4OsqAtJyfHaOmeMTETIdLgg81EdWrVALCrxFsfCPB08sT0dtMV15Nm2pSYe1mSXa3cH8g1RL/p5Ob07tMjUMeRIOlWzf8R6UlLG1xS1zBcKP+U3/+nz4l0f0IAAOBY0DfQ6sn7sLKywqhRo3DlyhVcvHgRUVFR8NaQXqPnz0lG4PhxuThNtps8OC4sLMS2bdtQsWJF1KhRA19//TX69eOzf0IzbyHC0jNra2skJCTg8ePHimWTlDefTZs2GT3m5GT87+POnTvc9oQJE7jt6dOno2rVqkqnACCKr15eXqhRowYmTZok+k5KA0ihifzZs2eh1+uhVqtLpB45aNAg2VhycjJyC0nAqfRvB4VCoVDePkojaFNyFlas9FKpVBNUKtV1lUp13ZwbXYqYD+sRlb3GFRqL1BorOBg3qu5Ro4csEPqvqFamGmKmxoiybgAUg7bv23yPoLFBUFso92CJgpTkqy90Xc2b1EXQz0DwXGCKQuFvcHAwAgICRIFbhw4dULFiRflkQKZKqaTyZmdnh/feew+dO3cGQPpSFi9eDHtrPWCl4W68hJm1ZxlyRVAWZ1tndPbqLLNaAIDAj4kqZw2paGWH/YCLwa/PUDZZ5hIvbuBzbC5g5w6dXocl1wxVzlpBUCUptexVeA/BsXyWrkyZMjh27BiXKRtQcR9+qvkL19+zdetW0fk9RvZAUgNxRo7l0aNHmDRpEoYPH45hw4aJhE3u3RO317JqllLYG+R169aVWLXPHOLi4rBv374ihSwopcOKFStIxtcEY8aMEe0PHzYUNiryXa5evTpXOska3LMMHToUp06dQlhYmMzUvaCgAB4eJFNdoUIF+Pj4cMc8PT1Fc/Pz88EwDPz8/DjbCa1Wi0uXLsHPz89kllBKXBxv3SIs942PIw+RCnSkbzMxMVFWpkmhUCiUt4fSCNqiAQj/j1UZgKKzFsMwfzIM04xhmGZubm5KUygmaFKxCZhZDG5NugUrSyus77cegMRkWYKXi9d/dHXmU9aeL4/0cvHClJZTML/7fLSr0s7oOc62zngE80xwiySX/3ouHg3kJIj7TNig68GDB9xYcLCkhBBEbIBhGJnowNy5c2VzVSoV+vTpgw4dOkCtViM2NhZXr14lQZHagXtqXsauDFpWkkuUS7FQWeDMR2ewf9h+2bH2VUgQEyeMUzoSEQM0Jx5wONMdLZdXh52OL+Pq7NUZoUmhOP74OLhbw4e/c8dn7+goEh8BAM+w+cCTvwAAVapUQWhoKLKysrBgHvkMLFV6nP1N7JEXFxeHwsJCpHRMQbaNICjsC0WOHz8usl6QZjyl5WrSG3ZAnPkQkpSUhKdPnxbrJlrKjh07cOfOHaOWBJTSJSkpSVGRVBjMS0WKalVzRwUb8oCgUaNGRkWM7O3tceHCBWzbtg2bNm3iVCH37dsHrVaLZ8+eQaVS4fx5osbLBn9SS4v8/HwucFPiwoUL5rxVWXmvUEH1ykFScslag6xcuVL2YIRCoVAobw+lEbQdBDDGoCLZCkA6wzDPS2FdShGM8xkHZhYjkn+X0qhCo//wisxDmGkL+zIMi3suLvIcJxsnTNb5FDlPEV0BcPkTIM+Q1ckT3/Tb/Vtf8TQljzb2JuzJkycoW7Ysfv/9d9mc//u//zN5OezT+vHjxwPaLEDtiGOPibiH2kItsjswB1axs5YrETthe13+Euo0VOpDflrzRneuuU+5OcvSgDvxd1B3RV30+acPdOy95lO+BG12WQD7xdfm8XwfcJnvn6xduzYcHBww7UM+MO/kfkd0jqurK9RqNUY0GoFCCIRCjLg39OvXD/n5+VwZaoUK4syy0LZBpVKhWjWSWRb+/pQMlK9fvw43Nzds3ry5yN+ZKWiw9upxd3fH7t27ZWbwtWrVwvjx46F6sgESCl7QAAAgAElEQVTtXYMAMHBzcxMFbUpWEiysWilbUnn37l0AQKdOnQAAbdu2RZUqVfD8+XOkpKQgKysLQUFBuHLlisl+SmkPnDGkliTSMuse6FGkcvCL8OTJEyxfvhzdunUT2aVQKBQK5b/HHMn/fwBcAlBHpVJFq1SqT1Qq1SSVSjXJMOUogCcAHgNYC+Dzl3a1FEWUxCpqlCE9ScUNAP4L7K3suW1j5ZBSnG2ckZFvyIY4Vjc9WcqTjcCTDcBeQ3Y35rBZp23evBlDhgzBkSNHuDG2ZJItefruu++4Y0KRAVO9K+xT+apVq3JB26eHPgUA5Bbm4koMeYLewM08m4axPmOx6YNNuPqpuGxU+IyfzeTBSixgYglAzwBTEoGB9XgD7WfFb73hSbkJXJtk9DB745mnzQNjuMrnMP6cJz8/H+np6VxvnBQvLy9u+8cff+S2v/rqK25bKdMWGBiI2bNnA5DfHJcEY9dHebn06dOH8zCTitMMHz4clZxygRtTUdPhMWbV8oODgwN0uYnoZHhWIy2RFJKeno6AgABun83y6nQ67gFOVFQUMjMz0bp1a0ycOBFnzhB/TFYMRclYvk6dOiV6r5UqidvFa6M2EnNeXqvBli1bkJycjKSkJKxfv/6lvQ6FQqFQisYc9cjhDMO4MwxjxTBMZYZh1jMMs5phmNWG4wzDMJMZhqnBMEwjhmGuv/zLpghRUoZs5tEMef/LMyn68SbhZOOE9Lx0wL0nYF1EmaQuD9imIv/p8oDMMP7YhZGArXJvGstnn30GAFi8eDF27dqFPn36cMdWrSK9Xr6+vrLzAgMDue2uXbsCIE/mz507h8ePH3Ny38uWLQNgCBS0uYClHRpXaAwAaFm5JVb7rgYArvzVHMY0HiMyOGfZlQmsTQeOhBkCT0txcKKxAJ7rSIDHzSkJ21T4I2gOMVW/aVo2XaVS4ULUBfx4mgRYK7ESm0AyelvObMHq1auxciXvPXXixAlcvXoVp0+flq01evRoqNVqsOXWQuNjoRjFzp3EgmL79u1YunQpoqOjS8XWQVj+piQFT3n5vPfee9zvWthXWL16dfI7yRYHcmD0+F/bSzj7P8DGyrSQ0IkTJ0RZucOH+Qc+ycnJorkjRoxA7dq1uX1bW1u4uLhwypHLl/PCQGfPni3GOwRat26tKEgSilA0QRMkZvPvwVhJZnERehxKLT0oFAqF8t9TGuWRlFeMo7WjbCyzIBM2auOy16+a+O/i8XDyQ7Pn21vZIzQ5FLByBgqLML7OEPS7XBgO2AueTkdu44OKNv/w45mPuc0pU6YYXbpcORIES4Ut2rRpA3t7PoN47tw5AIC3tzc6duyIWrVqcUa/bH+co6Mjkc23tEPXaiTIa+bRDL61fZH7v1y0rFx0b5sxFnZfCAAYEgdMSAAG7xpMDghsI2xVJGjLNNznxmTy/Wo3ilARr68g4PjNs5lYc/JT8juSoBZUmiblJKHdRr5/MX5WPNTWJPv23Po5Jk6ciP79+6Nx48bcnL59+8oMzzds2MDJ/H/yySeKHlujRo0CQNT9oqKiEBoaitTUVMWsQUnsAdgbcgBUiOQ/QBiQDBo0CNOmEc9HNrM9depU7jjn5aiVKJRmR6CROwnYnexIj6VSHyQAPH36lMvCfvHFF6LeR3M8AKtWrYqaNWsCIL14Sg8ehCQmJuLChQvQ6XQiIaQePXqgYcOGAEhZL1sG2gZt8AE+wMhdvI9iaYjuJCcnw9/fn9tv3rz5C69JoVAolBeDBm1vAXZqO9nYoHryp7KvE+UdyqNOOfNLhLIKyE0Ww+jEmTMWRg8kBAG3ZgDZEfx49H4g10jZmpUg2E08z21WqWK8R9DFRZ7NAoBFixYB4M16jdG5c2fUq1cPdnZ2cHJ0APSFgKUNrsaKSxtt1S9Wrvddm+9kY16LvVBucU2sMLRgfe4COAqCNimqMKBmBPB3BlAjAugjaP15UKB8Tvv4beQzZ6lMbpzbG37VgwcP5kpBhVz6hJSoVXaqjEE7ByEoJQi3bt0y9RZFpXA2NjYkCJYglHDfuHGjyfVsbW2LlaUoLCzEiRMnuH1hZoLycmCDs65du6JBgwZ49OgRBg0axBltu7u7Y9SoUahbty40Gg1iM2Ox4fJC8SLxAdxmZUPSvnz58oiOjkZgYCCePn0qms4G89bW1qhfn+9/vX37NidYYoyPP/4Yzs78Q4ygoCCjpbhPnjxB+fLl0a5dO0yYMIH7Pkv72C5evChTtrwceVl2vS+Csewj/Y5TKBTKq4MGbW8BDcs3lI2N9RmrMPPNhQ1iVM92k4F8cWkSHi4GTnUA7vsD53g7BDjVM56Z0wnEKWz4MlI7O3kQzHL5Mrk5atKkiWicvbES9sf89ttvsvMDAgLw4MED8vRdb7i5srTF+ajzsrmlTWR6JJJzk7Ha8HF0tyeZthpu3kbPCS8ERsUDTwqBUJuaaPMMaGmIlao+lc9vJrwf/eAZkHgRAHDmf2SoSpUquBN/R3aeqx25e/7i2BfY82APhu0hPUrCnkGAZFru37/PCcAUld2S3vCaombNmop2DUrk5ubKxEvoDe3Lh80isSIzPj4+2LNnD5dVu3nzJmrUqIGhQ4dCpVKhx9YeCIkJIic7kowXrnzCrfcZEX+Eg4MD3NzccPbsWWzZsgVRUVHIy8uDl5cXjh0jIkG2trai3shevXph5MiRsiBPyJQpU2RlsxcuXIBGo0FSUhL8/Pxw48YNAEShsnfv3qhVqxY2bCDiQvXq1cPMmTNF50s9JAGgbxVeevVFv4e5ubnYsWOHbLxx48bw9/fHnTt3Sq0Ek0KhUCjmQ4O2twBLC772rJlHMxMz31z+vvs3AGAdG389Wg4kXQHYm4fnx5RPzHgApN4G1PK+P6gFmZlC8yTf2WAhNjYWvXv35sY1GrJ+06ZNOd8wtnRLiZycHNJvByD7JXmIJU5Tflr+UHBP194OcM3kg6hfO//KbR8bKf5MV/uuxqU84Koh1mTsPTE+zUTPpH1loFxrbnfr1q2YM2cOOlbtyI2N8ibli6wPX0qu2D7h559/Fu03aNAAO3fu5DIr0qBOiQEDBhQ5BwA6duyIpCRl3zgprBCNEBq0vXzYTJs0GGcl+KUZqEeJ97CIdZdpLc+IfdoZWLKYZMl//ZV89/V6PTZs2IC4uDhcvHhRND8qKgqTJ0+WrbN161Y8fPgQs2fPxuzZsxEQEIC//vpLsc+xoKAABQUFWLFiBQDg0KFDSEhIgL29PVq0aIGRI0mpo0qlwtChQ0UBkqurq2ImrfAuX6qppJRaHBISEhTHWT/KiRMnYsaMGS/0Gkqkp6fj5MmTtMyYQqFQjECDtreMcx+fQ9I082483ySmtCR9ZrGsquHd2cDJVsA/hq9w3CnjJydfAbQKQZl7T6ChISi4OEJ0iA3OevYUu29rtVro9XokJCTg6NGjSEpKwpYtW0RqcKySnSnCw8O5TNuuh4eKnF8SytmXAzNL/kRcSRjy8PDDWNBtAb5o8QU31rNmT0xvO53bF6p+AsRjb31iEtrny/319tu1JzebNXiZ8JEts2Fra4usgizULVcXzCwGWwZsAaDcl6nVa6HRaEQ9OgMHDhTN+eOPPxTejZhGjcyzvfD09BQpUZpCGqBZWFjQoO0/QJppk8IGPCxVhbGdSjnr+pXbt0DKTVhaWnL9rD4+PsjNzYWrKy96lJWVBa1Wixo1asjWePz4MbYf4Q2/AwICjFpB1KxZU/ZdCQ0NFamdAlAs933vPd4X4/Fjvg+3gTOvNBsTI/ZSLC779u1THGc/+4YNG2LePLli8YuyatUqXLp0yWw7BAqFQnnXoEHbW4adlZ3IvPpt4cd2RGlwlVKlY9JlhcEiGJoLqFRA/emKh7/++mukpaXh6NGjsmNCwYuyZctyYhcsbNatSJ6SgCU3kVz/kp5LzDuvmHSv3l02drRQoMBZsRt8a/tiWttpcLYRi4jM6TKH25baRwRFkbKz81HnsbfJTiwQJMkG3gnCjec3eH84ALg6Ech8jA4FIdBYSz6j093A1AKYWvxQWh656bWwsMDBgwcREhICCwsLtGnTRnSqqfI0QKzqKJRfZ+X+pUhVAZOTk2WWAdKgQa/Xm22YTCk5bOBgrOx1xAjxwxfRIwsH472quE9ENxYuXIjbt2/j448/hk6n4/rP2rdvj08/Jb2YSj1pg5YOAiTD165dU3yptLQ0WXlhcHCwqPcNIOIjUoSvzQqcSFH6N8tcMjMzZYI/QUHk75x9oPGylCTZDKI5Ai8UCoXyLkKDtreEmR1mKvq1vS2wtgYZSpUzJ1vLx5xNeJx1v8hL31sK+tey+Se8KpUKzs7OUKlUOHHihKhMavFiYgbOio9IMSZWIuP5SQBAV1dSv/VVy69MzS4xSiWzc5IEJVYufE+bSqXCzx1+RsBHAQDEPnqezp5GX2PgriFwFsQxegDN1jYjgbGQQ7Xwheo+PKwlyqbxclW9jHzeHbxv376cCIRQpRMg0u7p6emYM2cOjh49ypVX7dixg7MOYHsQP/+c2EiWKVMGUnJycjB79mzMmjVLNL58+XKZiEl0dLTsfMrLhy2PtLCwwNy5c2XHpX97Pwh/zXYmrD5yicqOlZUVvL298eWXX3JqjQBQsWJF7NmzBwDpq5RafuxO2Q1IqpGFQdWdO3e44IdVPBWSnp4uk/QXvj5LtWrVgAqyYRnFCXy0Wi0XDAv75a5du4aYmBhOMVOY+Stte4vbt29z26WhfkmhUChvIzRoe0v4pfMvmN5OOWv0NmBvZQ/vCt4o41ip6MkAUKmvuGfNew5Q1fAU3k0Q5AlvPg4oP4l///330bp1a3h4eIjGhaVTQqRPzFmJfyEVKlTglBV3MNXRqLx5JXwlYUb7Gfim1TeisUtZAjGDRn6iY36d/dDRi+87Y2YxXJnl5U9IVnDR+4tQr1w90XkT5Ur/hA4HZUOdrAUeaZKsg48hnlt4QaL6Z6BvXyK6ICyFc3FxwcyZM+Hr6wtLS0u0aNECw4YNw+TJk5GQkABfX198+umnKFu2LL7++mt4e5NA1d3dnVOYZINB1vNNiLTPhxWPAJQDQMrLge1Zy8zMxE8//WRy7v3E+/hE+p30NvRstt8rHncRCwupVCpRxpUVIAJIz5jIMkLBR17o2QiQEt127UgZ8T///CM/AeS7yNKyZUvFTJ1GowE+A1DbtAhPUUqpQmxtbdG0aVNcuXIFISEh3Pjp06exdu1axcoBY+WpJaGwsBD79/OKs6W5NoVCobxN0KCN8sYQmRaJmMwY5FR43/TEah8BDWcC/QVmYvlJQNu/gRElVz2TihIITXeFCG9yGIZBw4YN0b59ewQFBSEiIgJly5bF3bt3ASsivnEtKxvuGnfFtUoDR2tH/N7jdzz75hkW91jMH/D+FVA7iK0PiqBl5ZZgZjGY2nqqrA/tgDGv6nLyTOjXjEHO//58kZofANyoAvSwB1YHr1Zc7ssvv0RqaqrJXjXhDW9sbCzUajUXdDs5OXEZm/r16+Pjjz+Gj4+P6HxWRVJYxsZuSzMBwj47qRAGpfRITEzklBylv4OLFy/KFA9TM3hLiCbsPwUNfyL/BngOAD6IAboZgquwFUC+WARH+P2aM4cvE87LyxNlnbq3IeXH7eoAzN9AHXegQ4cOiu9h9OjRomDw5s2bivN69eqFpk2bisa8vb1xLor4P2IE4DvYV+FMQlxcHOLi4hAbG2t0DotOp8OdO3fQqlUrjBs3jhtns3VXr16VnVMcVdaikNoLmHPNFAqF8i5CgzbKG0N6Pum1iMozyLJblwEcvMSTbCsArf8C1PbkOIvuxRTVAOL5JSydMxa0ScUsrK2tce7cObRr1w5Vq1ZFUlISyeYUkvK/5PxMlLM3ocJYSlR2qoz3awgC3oY/AUOMRVpFs+kDsRrfl4mATu2E8k8kE21NvLdbPwBP5FmB4yYSqiqVCi4uLkY/fylCQ+Rr167BwsKC60Nke4SEfXFhYWE4cOAAUlNT8csvv3Dj7M1rVhb/mc2aNQuVKvEX+yL9RBTTCEv3lizh+z/HjBmD1q1bQ19fj9txfJndocu88uhtiUaMntGj977x8D0hyDKHrRTNEfaP5ebmwt0FmNYHqFKlssgWpKk7Ca6GGVpbP/I1/gCmSZMmIluJevXqGRUOYTNOY8aMga+vLwYMGIDb8fz7q1OzDmbNmoWgp0F48OAB5s6dy2X13dzcsGbNGqxdu9botSgh9JnU6XRwsgM+aMJ/7uyDC1dXV8VgriSEh4eL9s+ePYsdO3ZQWwEKhUKRQIM2yhtDt+rEVGn/U4OnmdoB6CAwcu51G/gwjt8Xlj7amAgcmi42fkyCMFAw9rS5TJky8PDwQOvWCr12QuLPAADup0aK+rdeJh4akm3q7NX5hdeq5yYuj4z6HwPLIelIFCRBCnTFUFRUyMjdjb9rdLpUkMQYHTp0AMMw+O233zB2LPEvjI+PB8CXmAlvEGvVqoWff/4ZW7ZsEa3Dlsixggk2NpK+PJCsAZUsfzkIpeyF5YedOnUCAAzfMxxN1jTBk1Ty1KC3oxUAYI4hgdZ0TVPu+3j40WEce3wMR5+c4V9AL/6u9u/fH7t27QJAMle/jQQWDAdGve8lErQJSSQlhRaOZMyivPHyvnr16okk+21tbUWltkpUy9uHZs1IX6rw3wlnW1L7eSHzAnbs2IHCwkKujFd4fVK0Wi3i4vh/JzUaDWbPno3WrVtzfaMFBQWwsbHB9ik22DyJ/z6zvWwfffSRrK+vpJw5c0Y29vDhQ0VbDQqFQnmXoUEb5Y1hUD3SqJ/EBgU50YCNQCnTXiE9MygNaLGWZJWMUeszQGW40dIrCeLzCMuipIIYQmJiYmTllDI0tQEAaXpyE/lf4GzrDGYWgzMfyW+UXgQ2GJSyM2Qn2eh8Un5QGtA1mS+b4r3auPG3tHzMFF26dMG0adNEPTuAQdgBcnn1UaNGiTJqADgJd1auXVgW2aABL3xz/fp1vP/++4omyJSSIwx2hAFc8+bNRUH32AMkMG+ZSf7+thkSrTfjbsJmjg1OPTmFrAKFDLPEEsDJyQn37t3D7t27AQDtahumne4EZIRh48aNuH37Nve3+359UiY5sHYMEKIsCtWlSxfR/tWrV0XBSeXKlUWy/nUdHgA3vwX0pFSRLUn+s8+f3JwODfhSzAGDiCehMLscEhKCVatWITk5GStXroSfnx/c3d2RmZmJH3/8kfOd69GjB/c3tWrVKjg5OaFXI/KZqy3I59u9O3mP9+7dM9vTsCiMWWWkpqYWeW52drasvJJCoVDeVmjQRnljYDM7aYJExv4Igdy/jdjqYMbpGdgVdhKoOZ5Xi1TC0hp4z1Butd3K5DWwN/cODg6csEDJ0SPL8F5W+yr3b70pLOi2gNs+MuIIZx0wet9oMujO2w4cZmOZe7yRNwDAjg/8rosV9o2SnJyM+fPnIzAwEKtXr8bMmTO5Y8IMRkBAgOL5rOhI7969RSVvgLICX2FhoWKmTRg09OvXD//++y+GDh0KvV5faje37zrCm3vWgiE6OhoN63iB2ecBN8Nzl+wC8gWzMfzfzbdmL9E63bd0x8i9Yj83AECS8kOWChWIXGMVYbL+4e/46KOPcDbnLDdUzYWoQta0YoDbPyquJc3OBgQEcEbx7PtR1+GDx4fZhmx2PumDyywgwdg4H773bOeMndy2V10vAOJS0t27d2Py5MkYNmwYEhMTuQqBx48fIzg4WNHCoKCgQNSb29TpCtnICoder39hA28WhmEQEREhyvyxJCcnF6kkuXLlSk4hFgCWLVumaJVAoVAobwM0aKO8MXSoSp4oZwuCtkNhx2Tz/rj0B+qtqAf/8/4YsnuIeYvrzIsS2KCtRYsW5q1rgudpT5BnuNef2GziC6/3Ksj4IQPr+63HSG/+Jrh3rd6KNgMsXNdMyBzxAbUDMCAWKN8BNmYqirtapeJ7Xz06tG+PiRMn4qeffkKrVq1w7NgxkbiI1EsPAH7+me958vDwwPfff4+pU6eafL3/+7//w71798j7EPT/dO7Ml5s6ORGBmSNHjuDvv//GihUrZOqTAAkAhTfsFNOw/mF79uyBVqvFgAEDSD9h0ABY5MUhwaCkH58dLzqvjL1cDVSR5yeAC8Nlww8fPpTPfbwaQVFB+PrE19BYAGUtAAupDH6h8u9Wo9Fg8eLFWLp0qai/jaXXtl7ykyKJ4mRWQRbsrexhacGXYDrbOmPPjT3Ap4CVRvmhU7169URm3ABw8OBBtG3bVnG+jWUhJrbkm1Mr2xKLizIR/rC1sxV991+EnJwc2NjYcEFgTEwM53d47do1kQCMsfOFfPXVVzh58iS0Wi2uXLlitFSZYRhaxkyhUN44aNBGeePIFPSnW1pYAjXGg/EcjC6buuBQ6CFMPTkVD5MUbrRMYSHvTzJFaainBYQfR94bft+gsdGInvqz7BlCPK2cbZwRkhCC1NxUXG66FZWeiH9/ImzcADt3wL4KvBzLm35hbS4QNBA4XJtkNfJIUGRtbY1Lly6hZ8+eAIAFC0gGcOvWrbIllAI0Y8boQhnyW7eI8qUwQ1GuXDl8+OGHAMRWBE+ekBtfqbIhQALAP/74g5ZRmkl8fDwYhiHKqwCfGTVkobYaYqToDLGHHmMoQzaLyO2yIYu8GFirgR0SBf7aD2bCCkCkF5BUQ2Gti6P5a2AY3Eu4hx9P/YjExESkpaUhJSUFy5cvF52yA+LvyXvOhhe9MRVxWXFYdGmRyDuRxc3VDagEFELZn83a2hoff/wxt1+Uz9qMvgX4vg+/37BcIj71XIN6jg+Qx+RxD0TY30VJSUxMRNWqVWFlZYV58+Zhw4YNOHXqVLHXkQZgU6dOxfHjx0WCNULWr1+v6PNHoVAorzM0aKO8cZwTVOasvbEWf6qbI6TOzzgbcRb9tvcr2aJ1vuC3cwyS06FLgWTxnVqbNm3QsGFDzJ8v778qLsPtc1DZdDXmGwsrkpCen46GqxrCdYErWu8YhVgdMOS5ZHKtz4AP4wE2e6B2gKYwAW1MVLTi4SLg2V6AMdysGVEHTUkRy7jPnTuXM2A2FqAJPbkAYPDgwZyAieg9Svz4ypc3HmhKr0OIMfVAYzAMg3nz5uHSpUvFOu9NJz8/X7FEEqlENv+hpDVKxwB/pluAgWkVwrPWEhPrdMEDn+xIRC0FstYDQ5sDBSr+S1kx5RwKagFluHhe8jrp9wEAKj8VLH6xQKNVjTDvwjxk6bKALgDGy/tikyAupa1ow5cN/nyK+HAqiRbZWZEAtlCnHLSxvZssUgN5KS6Sdl1Vfjw8bMkfbqY2E1ZW5B8ub29v7iFGSWC/w5UrV0ZeXh50Oh0YhhH15JmDsN8R4P/elDLZDMMgJiaGZtooFMobBw3aKG8U+4fuR6ae9EUtI7oQmHh4Ik6GKwhdALBUFcOotcUa8jM/kZRLBk8BTojLICtUqIC7d+/KfL2KDfPu3jDI3nmz5YCtIOApJGVwFzwBexWAbSog+GvxOXdmiveNlKJ9++23ov0ZM2YgKSkJ6enpRhX2vvmGNyIPDQ3FwIEDFUVnpNkK9kYWMM8gmC2jNGa2bIzw8HDk5+fj5Enl7/zbSkZGhiho27tXbJAtKqllGKgAeJb3gbYIcaF1FhKxmyMCVdQb5PtjZUhuFZj6u42TZIiyHnNKlkKScpKADgAqAxl68r199uwZACARRFSjrsMDAECmln+woCtIM/rStmoSTOblK5d5N27c2Ph1K2BnovrRWS9+WDFixAiTa2VlZcHGxgbHjx+XHVMyEP9/9s4zPIqyC8P37GbTKwkkoSWU0HvvHZWOClIExEZRUVSKolKUYgEUbChgQUFAEUVEUED5aIr0EnrvPaT3+X7MTtuZ3SSASpn7uryceeed2UnY3cx5zznPA0avS5DKYxcvXszAgQNp3769Ui4LxqBNayPgWhaqDQhPndJnZS0sLCxuZaygzeK2okM5SWa60xl4ViMaVjGioun8HDGH+buNJU+m+JdwnpQOmdc8z71RMtxnXu4G0sM0PW+Cy9dQgJoVeDzYubHfvMxJwU3QFhFhtHqw2+1KwGSGLE5y6dIlvvnmG/bt22daDjtjxgydUIJsIwBGr7783lt+cPege6ezYcMGMjMzlaDaVZ21sg8EOJyWHNnJ2ATIsQfSoHgD0+slvZxEjagaJGWYZHVkYZmTi3TDgXiwsEjSS9RvS4cmnzUhPgaulNaMn1MNtc9lSJm0OXPmKKV8Lfygfqgk/BHVWO27zM50r6YYcXE1y4rC0E1Dde/J/Ab2zQpJFgr3FV7GxIkT6Z0/Nw3pvpxG9enp6cyePdsgKrJo0SIyMzNp187YqydnALUWDq7IgkAdO3bkgQce4NNPP+WXX37R9eNNmzaNAwcOKPvaRZO5c+fqrqf9/ciKsBYWFha3A1bQZnFbYdbPAXAx1b3sc69FvThx7UTeF5cVJnPSIMcoEHBTSVNXeLtW6PrPvtZ/xO7Bu90e88ryIOddSJU8n66tOJQzDWamu3smmI8D27ZJD8nuyhfPzhEY/bHqv1e0qKRiGRammrNrzbdBCpwGDx7Mhx9+qIxpFSr79u2r620Do7S59uExMzOTM2fOmN6fK9qH07sJHx8f0tPTmTx5Mlu2bDH4ID4QCIPqDMLPy49c53sl1xHIfWXv4/wwvTjJrE6zCPQO5HLqZX468BP0zNb7Neaalxme95y007E+Hc4mn6Wit1RCWcWZvRr882BlzrqzkudkVlYWacWlEt+K3hDrf4wHSk6jYq2WJBaSgpMSudJCz7kXjUqLUTueo10ApJCiLDpA/ktvW4b/zpi4sdQP3eRWgl8m0C4FuV27duXhhx9WgrEFCxZw6tQpPvnkE52a6htvvGF6HVEUlTLG33//3XQOqEHbunXrdOOdOnXS7c+bN0/ZdlXpXLlypc6qRuoAACAASURBVBJcumblLCwsLG4XrKDN4o7gkR8e8Xi85Zf5MJO2O4UNctIgq2A9FQUmRQoi5ySqoh13GpWLVGZmp5mmx7ySneVLIVWMB0s8YHqOuLK5tCGbIPtGqQfPLofDs0zPq1GjBsuXLzc3MRZzifaC10PUIL1QoUKAfrXetRx21apVADz33HPKmL+/P4sXL1b24+LidOdMmjRJ5xOn9aFavHgxM2fOzFNKXZvNu9soVqwYNpsNm82mevS5BOolbFmkZaeRlub8PXlJGdUiAUUQx4jkjM7hhx4/8GhNqUfxZKJUlpiYlQIV1H9LspMg1yg3n+65PQ4AwZlweyYUntAkdGVLgoR0Nbuz7pwaiKSLUmmjbE6/ubjkS/nwbklNcbyX9N6JDIx0+9rVvMHL20unxqjFtQ9yw4YNHMo6pFhsXHXRxJl4Bbq6rCXUDZUyvTVq1CAuLo6AgAB69+6ts8hQ+g3Rlypq0QZPM2bMUIRBfv31V921tGWQWlytCmbMUG1TtKXKAOvXryc+Xuox1Pa5mal3WlhYWNyqWEGbxW1LbGgsNaJq4O/Q9xvViKrBwm4LdWNmvSUAF1Mu8s0uZ0+RHLRdi4f97970+9XhzASMuwI21/LAO4gnaj3Bk7We1I2t6rdK3SlllOJHECDuaeNwwk6pv+2i80G38ss6bzcurnd7H/fee68kD++K1urBGQA4HA5yc3NZuFB9D2lFC95//33lofSRR9TFggsXLuRZbiUbNYPeIFqWldc+7JqhfTCVbjkfUcQdgiiKBt+upHX6fqrnLkwHIDFJCsbw1vdf2QQbXSp0MXzmrqW7BAb7p4NozLYF2uAtT5XNfvr32ExNfPWJWaJX24fnrPYLcI6dyZJEOfzMhB6vOj8LlzfD+T90h76e/zVvv/02b7zxBmlpabqM1MmTJxk7dqyy/+uvvxLv+Jo6zvgnLAB+GqZe65XL8GMKxB2DKOdXqLegz8T5+PhQvnx5XYC4bNkyZXvIkCEAVKpUCUEQ+N///geoZZUA/fv3Z9SoUYiiyOXoyySFJfHXX1KJqFw6WalSJQBKlCjBU089ZfiVyBnytWvXGoI2UDN2e/fuVcZ++cVoGWNhYWFxq3LnPi1a3LHM7jwbgGMJx2hftj2pWepqae7oXLYN3Eb3yt1Z0nOJ4VxRFHUBXLdvu9H7+96cSTqjBm3bhsGRL/7Rn4EcaUk75S7QIykXrpdcr1esHoRWlXai3Rjh1n7PfBxgdRvnhgAd96vjR7+EtPxnolKzUvlj92xl/8z5v5TtV155RVmZ13Ly5EkuX76s7C9evJhHHnmE3Nxcjhw5osueybiWfq1atYq//vqLrKwsgxjKxYsXOXz4MOPGjWPcuHEcO3YMwK3anfwAfKeTlJRETk6Owe8u6KS+X/WYfxUcQFKCFATbvEPzdf2S75VEGCeQFuDMju5+XcmGa9mfCS9dBv9DhkMS1SfQu6q5MEecN/i6BGBNqjdRd6Kl/33R4X0AZu1aQHZuNic0JZkd4qSeXk58K/1/RV1YpVYRxDrgov9FJcD18vKiatWqyvHk5GQApu2ZxjvvvAPAFn1CmI4mGkuHsuC8M14u42+eOdMiexmC6mcof55mzJihfF4Alv70g873rdeiXkzfPl0REJH/n5GRgd1u5/HHH9eVOsvX6dKlC/feey9NmjShQoUKhnuy1CItLCxud6ygzeK247GajzGy8Ujin4pXVNMAogOjdYp+ncp34tl6zyr77/35HrbXbZSZXoa/TkkP6HKvW7Gpxfh6j5syRTf9LTdE9t0TtA2pN4Qu5buwsNtCxrccT6B3IIQ4HyTlQNkVmxc0/d78mEx2MjgCofUf6tjiKLfTAcjJVDJqQ5cPZeyv6vujzwI1I+Ht7Y0oiro+msmTJ7NkyRKio6OVscTERObMmcPIkSOZMWOGqcS4rAwos27dOkVJT/Eac/LNN9/oPOW+/PJLzpw5w6xZs0wDtLtFlKR///74+vrqMpG5hz41zItN3U1mHJTbOwoAP3/P74dXm76q22+2VxUTubb1ZQDeuAyvX4a2p6Gzs1Qw1+bDNLO2zCLNeKOleQ8XwCPB8GohKOUF4X7hpHunw+NAP+n4ymLAFikzdTk7k9SsVP7SJF8DvJzvF7u5r+SUCGj+gFRGLCuearNOKUEp0A7Kti5LiiOFSn0rcT7avKd2mEubcFyhOC75xnIsO3/fh+vXr+eDDz7QZeDsdjvff/89drtd6fkc1Snb6Bvno2ailyxZQkpKCocPHzb0qoE+e92wYUNEUaRkyZIGm41jx46RkJBgsCjQZvwsLCwsbmWsoM3ituTNNm9SsXBFrmWoZU1nk10NwGBaO1V18PkVqpT7hpOS8pxW2OT5VaPMX8yD1PZ141SP7FGt/82/9i2Gj5cPP/T8ge6Vu/NKs1ekwXqfQLMlEFze/YlXtuRxYaf6YmRz/XiqRsb7zC9wYR1sfAR2vAILfOAbG6ScYObWmWhlbYYEGwUKtOWHycnJrFixwlCiB1JAJ/Pcc8/RpImaQbl06ZJhvoxr0GbG2bPS+3r//v2GYykpKXz77bfKvS5btuyO7Hs7fvw43t7euj4m26aBynbFY+bnhQaW9HjdYY2G6faPa57fQ85IiwZnc2DMFXigxUeULybJKmbkZHCl0mhybC5mgoGliPCP4LibuKZPiaq8EQ5HSkll3Psv7YcSQGkItUFrTaV3kF8EX+74Unf+C+JmaRHJ1fLCyexEmHVqFgcOHNAJ28jiJMndk6E+/H3ubxgK3R7tRk5AKdNr5ZZXbTbSXknjwJADhBaqCkL+gpwmTZowZMgQ5s+fT6tWrXjttdfo168fL7/8MoGBgXTrJvXsVYw2+WV5q/1mHTt2JDAwEDD2sR07dszQl7Z+/XquXLlCaGgokyZNUn4P8fHxDByovmdWrFgBmHu5FYTdu3cTHh5u2nuXlpam68+zsLCwuBGsoM3itmbKxinK9osNXzSdU8ivkGEsLjwOURR1D+Vus14Zl0xFCW6I+EkABPuF5THxDsURCMU7eZ5TRX0wLX8M0l3/fco8bn5evNP4XBThj/awsikcnQN7JqpzfowBwFfzDXi/j1F8RltSNWnSJGrWrGko0XMlNDRUZxHgySi4TJkyHq8FsHTpUgCdlPpjjz2mbMfHx5Obm8vx48f5+++/DX1vdwJyX1bFiubWHvvcPBcHBESbH3Aim8DLJJl8BxTx9iH+qXgG1x1M9UjV72xcy3HYu56ASi9DjTehSDMAgryDqO1GrLaxXU3PrTq6iqRM6b0xKASuurwVrqYlUDy4uG6sfs4x2NjP7c/jcCas4uLidObv/fr1o3GHxmSQoZZYAqE+IUSflDK7r7qsLQxvPELZlisa7I4g/IX8lQdER0cTGRnJ2LFjadasGXa7nZgY6XM3bJgaLF/NMvkOtJurPDZt2lS3P2uWJD6kLUtevXo1ADabjYyMDD79VM3Iyn1xoC6GvP/++/nubcvKyqJdu3ZKv11iYiJVq1ZVgkRX3n77bT755BNSUlIMxywsLCwKihW0WdzW+HmpmYpmMc1M5+iEL5ykZKZge93G4atqf0aaCGKEiUHRz5U0fVQmJB6ENKMMd364m4QkCozdB2pO5kRwXdL9S+KnaaV57iJGfzeZAx9AVjJ8l3dA7CrycOLcJt1+lSqqumX79u0Bo5y4lgEDBgDQqFEjChcuTIUKFRBFkWPHjjF0qN4gvEKFCrRt2xbAo2+cK2XKlKFEiRK6sYyMDI8ZvdsdudQtMtKp7KH53MRnwIBaA0zP8/UrbDquZWh99d/FTB3yiYhQKhaWgkVtObY0UBhqTIRKI6GNJJghCALFC7uYWXeT7l9INTdz/thEpCQt242S6HH3vpOvh0uWAa4EBgbS9mfpvXZf2fsYVHsQACVzziNkSHWQkzTlng+c9zEIPAEIuRlU9JXua9++fYayxkWLFimG1U2bNmXw4MGGa7iSmG3y3g+HjOZq0CabbbuquNrtdnr16qUTPtF+p7aqbP6aH330kdLfB7Bp0ybziS4cOHCA5cuX079/f44fP64LjNu3b8+bb74JSCWXW7ZIlQKXL19WMoUWFhYWN4IVtFnc1szvpj7AdCpnnrmpEVWDcL9w3diqo8ZADiDHX/MwXLKHun3hD/MbyM2BpeVgsecVfR3nVSPZGVvuvKzITaXii5TsuEnqg9Mw6xqsPiqtqKdnmygubnoSsjwbpNuBUi4iczuW1CcjW31YLFSokJKRrVatGoBONMEV+aHN4XDw1FNP0aNHD0qXLk1WVhYhISG6wK1nz55kZ2fTp08fnnjiCVq1auXxfmWaN29uGEtLS1N6mFzFTW53srOzFRsGxWIhV1Uw3FP7a2Z0nAG19QbsL1yEosH64NaMIfWH6PYFvUc2ka3VgGDPRUl2f8o9U/DE9kH6vikcIYY5UxoMNIzJrA+TFggeXPggIKk3GmjwhbrdTZPBKwZzd841zndiF+xKhs/PptpaaPNnixMzCPEN4Z2277C011L1wMlF2ASRuY6x9H29L6NHj6ZX9Dwahq5nzaqf2bVrF4sWSb3B2qyWJ9pEOL+Ld70OZ35BQAABsuupZZgxMTGGALFBA8k0fd68eRw86PKPBvSrsoNVo6CE/quflJSUPLPl+SE2Nla3X69ePTIyMvjll1+YMGGCkiG3sLCwuFncWX/dLe46SoWq/RiGZnYNl9Mu6/ZnbjX3D7OdW6nulB9iOkchMwHmm5t9e+SiKm7xWefPCn7+XYicUX3qAky7CqkitJ7TmvTsdPwm+HGfq4ewh2yETKQd3o7Qj3UKhA82feDxPLnccfTo0YiiqEiIT5s2TWfILXPkyBHmzp2LIAiGbNhPP/1EmTJlCAoKIiBANfieNm2a62UU5CybVhBl0aJFikrlnaaSJ9shANiOfg5rukCO1Me0LR2we0uf/fLPktF+D/eelgKvX7wq4G13H2DLuC7ouOIIVbOtcnlk90rd87xuaj1JmfSIV3HTrPCD4dKb7wmTRNM3yfr5h7JgjaulWGmNN6VDvUi0F0z62cRKw4lNsFGnaB0AKobrpSMXxk2hqMYdZVijYXQop5ZTEn0fAD4CyuJGucAD3FP4N4JSJVGcvLwGtTwT8z52IQfEXNg1Bv5oj4iUKdP+uwQFBVG2bFll/9FHH+Xee90ozyItmpTKkDwTT0yHuXPVIFYWs8nLXsMMWbRE7oMTBIF27drpDM3zm7WzsLCwKChW0GZxWyMLiZQP9yBoUQD2x72i7vi5ZM8yXAyadr1+fS/iFNCocRxqRpvoa1sY+K3vb7zV5i2G9t3PUE3c8+0eSYRjxXV45PpoYvy6SWo5W60E8yyszNq1awGUrJlcAvls7HTJO8sD8oPngQMHAOjevbsiiKDtb8vIyGD9eve+c6DPqJ05c0YXEN4MRbxbRVVPlxX56wk4vQS+kzJvMxNh7yXVd8s7pCK/Ot8LyZnJ5AfXvjaAnc5ka4YjHDSB3/hW4znwzAFKhOSdwfMv+xiXulwgptsx0+MxBybQJ0jv5SbTtEIPw1hzbbWit3NxoMwT0v9dgsKq3nAu2bxkO/5iPM/GVkWMg1KH3tYdO5Njo1hkHYoEmJnKAeWkhawwm/H3++MLUL8spkI97ijkcC6mJaqB+UPOpHrJkJLcd58UJKakpOgCo5Il9QIzQ4cO5cVS7yj73g677virrdVMXHi4FAwmJyfz5Zeq0Mu4ceN4+2319/HFF18oPXMysuiJLG4SHh5O/fr16dmzZz5+WgsLC4sbwwraLG5r5L6L2NBYj/OSX5YeMHpV6WU45mXz4suu0h/vY2iejLxclsCvboPkY2o/jasBt1kPyqmfpAd5rX9YlrRKezALgn3y38t0NxPmF8aIxiMoF16OkiHqA5tpaWQeDHVKmR/RiOZlaLJTLRM8ixI0adIEURT1WbWkw5DsbLpz14vkZOzYscybN0/Zv++++/j5558JCQlh0qRJfPnll6SmpnL06FGP17Hb7W6Pbd261eO5Zhw5coSdO3eSlJTEuHHjmDBhgs6I+L/Ck/pelgiD6gxS9rXZ9lOJ5v1jZggIjGqiqsfKiwA+WfoMvbfdmziX7JQnIgIKY7e5/3f6ysyRoLdIj6rGTNk8rZ5N3Y+l/9efCb2d30c+alBT2C75EIqiyNU0vTfBW60nYpN7dJ3BUq4zK/i/4/8j0DuQChFGnzPt/BlFUEostfw5Lv9BW+Owdcj/XO0+b6yML3CulSVnJivCM15eXtxzzz0Auoy0TMsWLQiwq2IfKan674V+Gv2SatWrUbp0aQCOHj2q+LyBPkv46KOP8uSTT7Jx40ZFzMRVUOSZZ54B1EDQHc2amfdbW1hYWBQEK2izuK2JCY1hQbcFzHtwnsd5Ad4BpIxK4av7v9KNp4xKIeu1LBoUl/ojEkRNOZWvS+3c3ndgSSk4PMv8wfzPR9Xt7DTpQf5/naX9K5uVQ7mZCeSIUomfFbQVnDX91Z7AAUtVAYqrZs+KPY3ZooOZLgPVJ7Drwi79mFjAEsNtw9Xtk4sg03M/nSsdO3YEpAybHKwdOnSIsLAwt6v4nnrXZAW9gvDVV1+xePFipk6dqowtXLiwwNe52XgKXjsEmKvDFpTcMblMaD3hhq/jEX+nEmQnY/+VGZuf3Kzbj23nLKuu/CrEGDNxNPtR2ZxeRAp6pmycQqG3CxH2VhjlwsvxUOWH8D37s+FUW6z0Hlu8bzEbTm7gStoVwxxpotQEWtoBSRlJDF8xzDAlpIrnz071oO2U8jtCmwi1FP2FQL2tir/Dn+TMZEWFtVOnTpQvL1VTvPDCC4Zrdu5wDx6q4wF4KHo+B22bady2saL+CCgBnIxr0NmoUSMGDhzIyZMnDfYC+aV58+Zug9k7rZzZwsLin8MK2ixuex6q/FC+Htz8Hf66Ve+v7v9KydSF+kpyzZczUyTvsDgT1bOzUhkbmwbAQqOyGicWSA/rudmwvgf8pPZgaMuX0tPOk+j8Ox3gMK4aW3gmNjTWIEwCUOwofOu6+G+S5Uh2VQj0lZb2/9A+j2UX8OHs1GJ1e2NfWF5b2b2RbFVOTo7ysOqKHLQVLVpUGZOl8WvXrm16jiu5ubls2bKlQCVt/zaefOd2Zei9Fm8WjWWRSDM12euly3Hofg2Cypofj2gEzVXxijCNHYg4RqRRycZSVq26G/Puwg35Im66slv6z+7M/ENaTEhIT+DA5QOEeQdL302u2FVVzMycTHZf2G3+GqWlhal3EqSg8JEzRkGWKyNhTNxYHoiaRbmA/bxQajINQzdw2b4TEOka9QP9is/RndPW5es0OjCaxIxExRi8TZs2pKenExISYlysyLgM3+vLOR8uNRlXKgbu45D3Ug5cPkDhD9WspGvQtGPHDqKijCnQ119/XQna+vTpw9ixYw1ztKxapZZZ2+12nR9cbm4u69ev5/Dhw7zxxhvXtchiYWFx92EFbRZ3LZUKq+pmIT5SX8u19GvQcR/U/Ug60PxnSc47v3wXBvMdcPon/XiG2m+UkX6RpFx4pu4zHsVTLNxz+NnDuv0JrSaQJsJD52Clm3jroBhIxWNQyPVbz78YACnaYC7TTaYhvySr91ehQgXi4vQldV9//bXhFG3g1Lt3b0AtgdT6ssnI1gPaoC4sLAxBEDyWTmrZuXMnS5cuZcGCBW7nTJ48mZMnT+brev8kMX7HDGNjTf6Zkl9OpllMM2Z3nn3dr3VQrsgs3NjjvAIh2FTBkDb/Mx6vPh6KqaIfEf5Spn9EoxHGuW5oXrajsnARmHKA/bH643VT3YhkCDYalchHgOoVAIINARi/djxVXNwvLmti/6pBp+hV9BuCvJK5p/CvTC/9PWPixuXr56gYVJiUrBTlCUWWzzc1o/+1IWRL5e9j4sZSPmosa0RpEa6Jy9t2cTQ0WdeUEWFQK1Yac/0s/vTTT6YLBatXr+b333/HZrPpRFG0fPzxx8r22rVrdYHb7t1qILxr1y5WrlypvLbcJ2thYWHhCStos7jryHg1g1X9VlErupYy5uPlg6+XL9cyXMrairWXjHM9UXmUZseN75rGEDfhajxXcqF6VHXzuRZ5ohVKKBNWhmfrP6vst3VVkux+jWUxL1PuUDL7skyCOr9iPF7zcR7R6jY4zbfPJp3lYsrF67vJeQKsfxiAOXPUzMKrr77Kww8/zG+//aabrvWNkoO8a9ek92OJEiXo1KkTrVu3VuZ07NiRtm3bUrVqVWUsOzsbURRZu3atcm5GRoahF0dWwJRNhc0k02VSUlL47LP/XuW0VUPnIotXkDJmVlgW4B3Amv5reKymMdDNi/3P7OfN1m9yvsIrENMbKrx4nXebB94mlQG++uxOsE8wV0ZcYVKbSfm+bKmwUpSPrqcb0wruPJgT7/bcDSc3KNvvt3vffJIggFcggW7WmsLzt1aQJzGB0u9H7ptLSEggKyvL3O8sSf/ebeYH15JPkZQL69Ohtaa1MdqZlH0rArY4q2GPHDmCj4+PYukBUK5cOYOkf79+/ShatKjOm80V2YZAZsCAAUp2Tqt2WRCFTS1Xrlxh2bJluu8KCwuLuwcraLO46/C2e9OqlNETK9A7kNNJrk/8edDlBFQdm/e8KNWcO0jI5Ww2NI8x+m1Z5J/Haz4OwOGrhwn0DqRGVA3l2P1noMsZOJ14mh2Xj9JhpfrgmyxCyj1/S8F4WA0IqcQnHT/h+MhktgfU0b1G0alFKTLZRUkv7ZzRTN3uCxWHgd0lE3Bc6rVs0KABFy9eZNq0abz+uqQ62qZNG06fVt9v2j6boUOH4u/vrwReALVq1aJJkybKvr+/P40aNdIZc2u3N23axOLFi3nzzTeZPFktFzt9+jRTp07lf//7H5mZrg1+tx4ZGRls3LiRksWcMov+UjnooAvQv0b/m/pa5cLLMbLJSEa0GA+N54KfibTjzSDIRczknr8gpKJhWphfGDZ3JvJuqFqsoW4/vSxUcPoRhgrOHs+GmvJEk+sHeQcZxhTsfrQ2qQ53R2sPejBJbf4yHS/jJ72P911SVSXPnDmjlEt6oqgXhNjgmjPrN671227nRjh/TLvdTv369ZXx3r17079/fwC6deumK8lUvAJdqFSpkuInKNOuXTsl+OvWrZsy7qnk1xNff/01f//9N1OmTNGZiFtYWNwdWEGbhYWTS6mXmLdrXsH+GPpFSc35Pd0r3AGg8X+zZ6dwLReCfDw8GFnkSbdK3XT72wZuU7Z/SIElKVD83eI0/0INjh+v+TjiGJGAiDpS2Wu7bSAI2G12KUNTRCpLzArXr5jrWBytmqkn7Ib5PpCTDt7hut4gVyIiInj22Wd1JbFFixZVShPllfjChQsTGhpKamoqGzduzPP3YLfbadKkCd26dSMyUg0yNmzYwM6dO5V9eXVftgaQfd1uZTIyMvDx8ZHk3mVDbZtUk3c2G56u+/R/eHc3gNY/rvNhiKjnfm4BEUyMvPfGwkStwGGpvtDZKfBSc6ph/pmkM+5fIP08VX1A1MSdBxr8AHVnmE7f5bIukBqnBj1BRepxSVNSOcAZyzyfKPksNv5MX56anZ3NljNb2HFuhzK21iRpVcNHEnp6oOIDNCnVxjjBSS1n62dgYKCuN1Rm2LBhfPvtt6Y9bq507tyZ6dOn68b8/f2VgC8iIoJJkyYxbtw4tm/fbjg/PxYb2gyb1QdnYXH3YQVtFhYupGaZNEV12AulNeVWjeZCjbcUNTXyI4awV2rad+SmkpiLqZiGRf6JDpQCp5axLT3O05a8fr79c49z/bwD2JQOqaKAMC4f/Yanl6jBROZVKD8073NckLNjckmk1p9tw4YNpue40rp1aypXruxxzpQp0vvPbFGiZs2a1KhRQ/HF+q/Yu3ev7sH32LFjgNPfTv49C1INXqaIYhJ9W+N1kxdvHObXe9m1IjMwVlpsKi+VFj9WQ/1+a1umbb5f7v0EKFe6C4SYv/8uaoKyXEcIjlqSn9qPzvgjQi6pbLGMQhWe8vhahw8fps7MOtT4pIbkQ5ebRZJJjWxtXyjnDfMfnI8nWckfpWS9Ui7cq5feEkYWGxkwYABmZDoyGTZsGP3798fHx0dnR3Ds2DH8HCI+3tLfBm9vb4+Zba1QiTu09hfffPPNLVG2bGFh8e9hBW0WFi6MWjWKyRsmS6IkMiEVoMFsaLMGWvwCsb2hkieBAJMHhW3D4PJmbNkpJOaqHnMW10f1qOr81vc3lj28TBmTy157VjGXyc/NQ8rfz8sPPwFCrmykmCYOv5zq9OvaphGlyUoEmyZjkp0EVV4zXjTHs5ec3CNz8OBBChUqpARv2lLIgtCnj9HjC1ShE1elyPDwcDp37kyXLl10JWJPPfWUrg/Hk1/azWLhwoVcvXqVU6ekmjo5K5mTkwO5kuN1rvOzdWtYf98Arf+Aoh3M+9tuBNcSXU/YvJSgZnYXVbilIMHw/XKc4tAsQoVI/YenWkgCGx84Ff2zyw/FYXcQdUQSDdIRUok37/tA2S3iDOb+5E9lTNT0DEdPiYb53rR3vv5j5+Gky1vUYXdAYBnwV70dD2XCVudH0tcmvcfkoC06Olp3/p49e3jjDXO1zhaRMzld8RQBAQHExEg9sNosekz8A7AwgLAUyaLE29vb9DqyUXjz5s1NhakOHTrEp59+alC59PHxYf78+QwbNswStLKwuEuwgjYLCydD60tZkumbpjP8t+GEvhVqnFSkGRR1k42I1Tws338WHrwkSXxrWVEXfyGXxFwK3KtiYaRN6Tb4eqkliav6rUIcI9K7Sm/T+UPqDfF4PT+HH1WdinjPaqrM1p90Zr/2avpj0s4qpXqA5J9l9vCUh2eb9mHuyhVVDrFmzZqGsfxQpkwZj8c3b9b7f0VE6P0IBw4cSNeuXSlcuDANGjSgQwdJ0TA9PZ309HS2bNnCvn37uNmcPXtWVQ+TKgAAIABJREFU2Z49WwogvvnmG8CpounMtGXmSE/mLWKNfam3FZHNocVSU1uKGyL3+vsUz7xwhr1P52FRcY++ZPd9h1N1Upsx7LAHeov4hUp9erOdSSRHiQcBOJ8jZUoBqD9L+r9vlO7zM99ZkdgAtVTZ5lC/M4u5FDd8ngh/hHc13q8jCLoeh+LSsd/T4I0AdZ6Pv48StF2+rDdT9/Lycuuj1jToDD/unkNKpl7kp27dulL/2lXJ4D4CybzbTNH1lVdeoU0bqXwzI8O5KOHyenPnzuXs2bNs3bpVN16kSBF+++03JYOenu55ccjCwuL2x3pqtLBwMvkeo7eP4428G98VGn0FcU9Dt6uSgIFPuCrx7UJkwD8kcGABQM3omoaxU8+fYso9Rl8pLdrspzYfZRpgJx0CUTPL1ylYojE5BiDLc9BWrlw50/FatSR10/nz53s83wytIImMv7/0s7n6XLnaEURFRVG9enXDecnJybz11luKRYAn0+vr4dNPP9XtazOCXl5ekCMFI6czpIfTai6CGxZOcvJQJmzs/v0UHRRNhYgKns+PaMDyCtOU3bqVnTWGXs5MW3E1IAr2kd6H2zNAOAhCmKR0Oqb5GIY3chrSl3lc8p+zOxdAKr8KQAPnWsy7vKtk2C6LalD1tEvr3oo+K+jd4CVlv/4Jl/v2klJyrSt05/uHvleGHX4OEhMTyc7OplSpUvzwww/KsRMnXC8i0Tp8JTZBZHw4TPmxs+5Y+/btdaXKDcPclzh7eXkpYkPyZ3blypWmc3/+2WiKLtt+gKSwaWFhcWdjBW0WFk7sJive2bnZXEm7wrKDy0zOgBPXTugUzqj7AXi7ZOh8jQFaT1/PD/IWN0bx4OJcHK6X6i8WXEwql/KA1uzc37nov6Y47Fv9kLHHbU1HSJZW0emRofY1Ftc/xOUVtAUFmfcgyfLmTz/9NIcOHQKgZ8+ejB492jB36dKlOhnx5s0l8ZWRI0fy2muvUbNmTVJTU9m2bRtnzkgiE6NGjWLIkCFKcOgO+cHw+PHjuvE5c+YgiuI/ZsydmpqqCKs4HA4pgyTY+Dm8GyMvQfNaw/+R173tKeLs8SzWSQqG7nepQ4wxMdcuIE2rPK5eLtxpxeAXCa1WQSPV98xhdyCOEUl+OZmTz6umaWNbjOXttm5UHatK728/GzwWDNe4xjjGMZe5FG2oioVU1SS5JyaFcE+Ze7BrRFg2ZbheWPr8lo6soysnzM7K5vPPP1f8Drdv365ktXbsUAVPRpcdx4NR3wJQL1RSvXw6FEZnrYaEXfqX0vSN2gRzYauNGzeybds2evSQ/j06deoEwNSpRmEYd/To0UPxrtMq0ZqRn545CwuLWxsraLOwyIPwt8PpMK8D288ZFb9i3ouh4odGqW4dHeKh5ENQWxVYGHbeKmX5p/HzKkBvj5MwvzBlWxZIaOYHw4I12Ys4p1hCVFtJiAT0aoDAq5GjeE6OGfMI2kAN0IYPVwMROcMF0LVrV9LS0liwYIGhx2br1q106tSJ0qVLK2O1atVizJgx+Pr6YrPZ2LZNUtZcsmSJMsfhcFCoUKE8+2Hkcq0VK1YYjs2cOZPx48fnS/nOE2YloFOnTiU8PJzExEQpaNs/DcRc9qUk8FlGBMG+7v2y7moKN4Se2dDc+W/tFwmxfaXtdsbvsOshwDuArKY/khDVibrFNUqrUa2UjJbr/OLBxfN3cZu6sHK/pk3uIAdJRRKJ+qTjJ3TUvEy39oulDU1fXZiv+lkGIM2piCkLtZSXVCzTrkmf7SNHjihTv/rqK8NtCYJIlaA9NEgbi7dN3zyXlRBPiTf9+fCv6ZB4EHL1xwcOHGi43qVLlxgzZoyu1NhmsynfBStXrkQQBI+fz9KlSzNy5EgeeOAB/vc/E8N2J19//TUhISG6LOLu3btZs2aN23MsLCxuPaygzcIin5xL1q9YZ+aovSOvrX6N5Ew3hqc+haDJAtCsAm/3ySPQs7hhArwDKFuobIHO8Xf4U9tZEfWwS4VhX+ezXrKjEKJXIASUhBR99kkm0CeI350ipL/uXZjn6w4dKvVTjhkzRhnTGl7v2bOH77//3nAewP79+wE4d+6cIufvSpcuXZRth8ORZ3ZNi9YrzhW5D03ux7le3n/f3Mw5Pj6e4OBgKWjLlvqOziWfs8qL88K1aqDRHCnrFlbdfP514CjRmdBWS/KeeD04qxM6usR/Y9eMBVz8+QJKUa6EM7vopQZtm57cpD852/n9nON8rzrLmSNcEt0xMTH4+uqtO86i9lveWw0Djg09OVkyjacPPwdLy8FKvQen1jJg3bp1pKSkcODAAf744w9dD5uvry9NmzZlx44dTJw4ETDvVXPtS61WrRrDhg0z3hhSBq5vXylonzFDtWVYtGgRf/zxh+k5FhYWtyZW0GZhoeHn3sa+ARmdmiToSibHrx1P0KQgdp7f6V6hMFFt8G8S2/rGbtQiXxwccjDvSRrKhJVht0bHIWe0Wvo3x/nc9cG68VzNzobDqtre1bSruuvYBBvXnG+DJTtmkpPruYRw3LhxpKSk6CTDXWXGzaT6//rrL3r3VkVXtHYBWrRZuKysLGU1Pz/Url07zzl//qkq/M2YMYNx48Yp4g43A23p5/mU80QF5u2bZXEb01VSDxXD65se9nb1uZPRZPkMCzaFnO9jwVnGfGIRAAvH6af9/PPPBqXHZSwjoSBVwJf/1OwIunLJlStX8s4775CUlKR8Rvbulf42+Pn5MXToUGrUqKH4KLouiAzqEsu0LnsML6n1aNSiLfGUr6ntf3MntGJhYXHrYQVtFhYa2se1d3vsWMIx3X6Ij7E8q/qM6ry93k2vRlnpIfxyDnzw9wfmcyxuOiv6rGDPU8aHHDMEQSBThF0ZkFm0o+kXpLcAhdCvfhd6uxAvrnhR2R+5ciQJzmehD4rA2UWxHl/XZrPpyiFBeoDTihJoA7pKlaQ+ogYN9Cbg48a5PIE6CQ4OVvrcQC9gkBf5kRPX+smdPy85JE+dOlUXbLly6tQpg3n40KFDefbZZw1zR4wYAYFlyCzRjQ0nNxAZaGXa7mhsXhBeD8G1P1hGttGoNl6v2CqXVjpMzis3BPyKQYkHpH1nP2pLzVupc20I8ZVWbSp3U8VETnJS5zdXMETISefhhx/m3Xff1R2pWLEipUqVUjLkTZs2NZzt4+OjBFbLly8n8uRESvsbRYAGDhxo6gMnB4QgZRHHjRvHtGmqkMzIkSMNgdvy5cuZOXNmAX5GCwuLfwMraLOwcOH0C6dZ1nsZy3ovo3GJxsr4lI165UFTE27g7zN/m184sBRrGv1BxBGY2cn6g/hvcU+Ze6hUuFK+51cuXBk/AbzPLIU/HzUcf/WyyUnA1D/1AgKJmueg4lmn2L3zPTjtPpNrRuvWralWTarHSklRpcW1D2Jatm3bpkiAu6LtG3Mt/yoIZiv6jRpJsu9vvfWWbvztt9829Lvl5OQgiiKzZ8/m119/RRRFgoKCiImJISQkhLAwfS/S3r17eemllyArgV9PSp8tbWmyxR1KbjYk7jc/luEsA/YtbDzWejW0N+ndC6kI958Cf6eYSe33lEN/f1afhxvDjy9AsXgpc939u+66072uxwrN2/lezk6hbNmyup5SkN7bqampikplaqrxb4q3tzdr165l6tSpUplw0gHp/qIWGOZ+9913hrGPP/5Y2X744YcNx1NSUnjzzTcBeOmllxg+fDjt27d3ayhuYWHx32EFbRYWLhQNKkq7uHa0i2unyzJcTL3IQ98+xIWUCwB0/KZjga8tB3R5ympb/Gf81vc3ysrVUUfnGI6nuVQpLi/0YL6uW2X385LiZNr5At1P69atCQwM5NixY7pxd2bX7npb2rdXs8g3ErRVr15d13sHUt/N2rVrTftvfvrpJ2U7KSmJ8ePHs2nTJt2YzWYjNFTNjhQvropWrF+/nokTJkDmNQ4nSeouPvb8ZwotblOuboWUY5x6/pTxmBy0+UQYj0W2hICYvK9f8iFls47PX3zt1BcSksw9CP1cgrZT9eczztHG82s47QvIkRZcmjVrZpiSmpqqeCE2atSIxx57TDnm7e2NIAhkZGSQmJgoZciDpb8dfnbjZ03bByvTtm1bANq1a2d6i5GRkfz222906NABh8NBYGCgUh7asGFDw/eOhYXFf4cVtFlYeGDdiXW6/W/jvyVyciRrjqmqWweHHGTj42qZl1nvkfZ8ALtwkw11LW4a0UHRbo8ddCZ4ntO4CfTZuVrZzszJVP79y4eXN79ImslDqAcKFSpEcnIyr732mm78o48+Ura15U7u0AZqBSmPBHjmmWeUbTmgqlevnjK2efNmVq9ebTgPYOfOncq2bF68fPlyZez8+fNkZmbq+ohatGihbJcuXRohNw3EbE5nSJkIK2i7eygWXIwzL5zh6bpPAzAiDPjF6cPoXej6L2xzb/8h7hxLxwCYwxy+QlKS9BNge0gLZU7hkl14sctiw7l/aJJlWRnOtPyPsZAl9a+dPn1aZ5+RlJSk+2yWLFlS2XZUke5RLnsMDg5WrhPolb+eUVl8xJOvYosWLVi2bJnkh4iqZvvnn38SFxfn8W8aSNm606dP5znPwsLixrCCNguL66DFly2U7ajAKEoEl1D207KlPh5RFA1/xLpV7AZA1ciq//xNWtx0xjorDGdrNGkua0RIPtz0IRlOdbp+1fuZXyTtrPm4G1zLBUuVKgWoipPr16/X9YFpe9/c4XAUwDQevZdciRLSe71u3boFuoY75s2bR1pami5o0/4MdrsdMqVf+DVnX9HrLV+/Ka9tcQtTbbz0/5xMooOiGVRnEADDtR8Hh9FEPt94WDgTdo/jp6JwhCNctB0mrU1fQuxQPbKKMsfH4UugdyCRR2C+Jn7KAv6u9imfxU3js40T1QNrpMqMokWLUjI4iQVvdlIOyYsZrlQIk7JqFStKasNHE49CmuTHFuZVMDNtrRhRXgwZMkTZzs7O5uTJk+zcudNUtCQ7O5vJkycza9Ys5swxViZYWFjcPKygzcLiBgn0DqRYcDFl/69TkvFqwMQAui7oqpsrB3TX4yFm8S9Sf7bpcGourO63mhQR+pyDEi6L16eTTiu+fT/s+8HkCkB2ivm4G65e1StTugZLNWtKWYe4uDhAWvX25NkEKCvqWkRR5MiRI6ar5a5qegDh4eFurz9ixAglE6cNED0p1WlfIyoqiurVq/Pee+9JindZ0gNqQi5E+EfoPm8WdyiyCEmm9P6vHF6evyvEKP6JAHiZG9Pni3wI7BS1w6lS4HtcyrYJB4wCUov6rSVac08vXYIfLxzn8WXP8bnWz/qC5jO5rAoPlVDLhl0/X2PHjqV58+Zci5IWK7Zs2QLAtpXblDleNqlXNNCeRJdI9bvGzPMQjKJF8fHxhjnJyea2NcuXL2fx4sUGj0iACRMmKNtWKaWFxT+LFbRZWHjgt76/ISDwcYeP85wrjpEedq+mX2XPhT2kZaexZL/aeP7cL88x7S+pjM3u6qNkcWtR+lEo0hyKd4XGCyBK6l1JyoXaRSXp8LlJcMrFU3rKximKyqhbQZoCBm2yyIfMwoV63zc5KJL92gCaN2/OZ5995nYF38fHh0uXLnHx4kVEUWTNmjWsW7eOMmXK8O2335qe89JLL/Hyyy8r+4IgMGbMGJ0qpYyfnx/t2rWjTp06ugDRzLRYe09aIiIiVGnyrS8AkAtMbDURi7sA2U/t/CoAhB0vUyfHxRfRkX/riuthRhEI0j4llexO1zPwsMays0nJJlSrr74n00WYsFYKZDYZ285MWbDAKCrSsmVLvJ3NtfLn4MWe+jnPxr7H4JiPqRG8nZMnT+rmKrdcsiT9+/dXFkz8/f2ZMmWK4XukSZMmSlmk1mg8IiJCZ+mhxWyBZ+LEiWzatInt27ebHr9w4YLbflwLCwvPWEGbhYUH2pRuQ+6YXML9zLMKRQKK6Pa9bNID6p+n1D9yxxOOI4wTmL5pOlfSzFdBLW4xBAHa/AHNFkPMQ9B4Ppfinuejx/YS7COVZEX4qyII7977ruES7cqqjf9Lg+5l0AXnyn4+gralB5byyqpXeHLJk6ARyPv666/p1q2bbq7dbnfessDzzz+vjD/++ONEROiFGlq1akV2djYREREULlyYIkWKMGDAAFq0aKGIJGzbtg0zfHx8TDNucumWdp5220yG3AxXawE5GJ0/fz6cXQFApB3l929xh+MU3CBVKgckYadxjo+JemQByAyt6fF4eExn/UCThbzz6AEmP3lGNxxWZaSyHa95u4tArmvckqsGLD7OJPTwl4crZcdaHhIksRQ5yBl2n/54mCOBbZlSE13KCamnVFaClLHb7QQEBBAUFERGRgYzZ85U/OFystSosk0bVVRFW0r5yCOPEBNjLuziqgwr3+svv/zCjz/+yGeffca6dWpfeHp6OpGRkQwePNj0ehYWFp7JV9AmCMJ9giDsFwThkCAIL5kcjxEEYZUgCDsFQfhDEITiZtexsLhdaVumLT0q9+D40ONsHbCV2tFStiUyQC9/np0r/RH7cseXyljstNh/7T4t/iF8womoO5VyTtXPlFEpOlW7h6sapbTnPjBXytLVmsqesJZ8meh8ets2PM+X6/RNJyaum8isbbP4emVrejaUxqtWrUqFCqry6O7du3XBTl6m2U2bNmX8+PG6sVmzZun2L168SEFwtQDo0aOHsu3t7U1OTg5fffWVocxTPi73y2VnZ+tW5mX5c+31v06SzLUt7gLCJKsLto+QAp0ck7SVzVjmWxC8E8wXKGSKBGkeZVpLxtRx4XFGsSLBBi1+IbH+14Zr2A/BoUznHIBNg5Rj/s41kJGJI3n0UaO9iExWxyyK9y7ORo3P9gJnH11dp4bJOz2laFHrmQhS0FW4cGG8vLxIT09XFCbrlYHXK71JtaAdmBEQEEBYWJhBaVb+jIqiyMSJnrPeixYt0nnPXbggKS/Pnm1efm5hYeGZPIM2QRDswIdAO6AS0EsQBFfTo8nAHFEUqwGvA5Nu9o1aWPyXhPqGMr/bfEqGlKRmdE02Pr6Rhyo/xJz79Y3Xv/b5FYC1J9b+F7dp8S/h7/DHx0vNKIX6hhIbGqubE+YXJmXpKjyPn8OPdDkeyc2A9EuQbW48feLaCWX7iWD4LBK+eQZWr15NtWrVGD16NIMHD6ZkyZKKKImMa1bLZit4McX1PFCNGTOGV155hUGDBunuSc66HTlyhOnTpxvOGzFiBFWrSqI8L730kiKuIooirVq1AvSiJNdyITEj0XAdizsQL42gzoEPwN8lE9VmDTdMNXUB4/XLsNRWTnc4QMwAr0Ao/zxEtvB8raL3EVzmYVqVamU4tDwVEHPh3Eo48pky3l92ABDg5MGviPUzV3jMisniVLlTbHMGbXHHYKkzYX/MmbjLyJE+a927d+fUKWlBSZsJu3r1KiEhIcr+X04tn7L+h0xfc/jw4Tz33HMG0SL5mq79b1qbDpn69esD0mLT0qVL3doOWFhY5I/8/EWvBxwSRfGIKIqZwHygi8ucSsAq5/bvJsctLO4oHHYHC7otoEZUDd148WDzJHOAI29FP4vbD3GMiDhGxGF3EBUY5XaeLDxzVK6M+r4wLPSH/dPh/O+6uU8vk6TNI+0wU5PEatmyJSCVDX700UccP34cf39/3bna8kjQC3+MHTvWUIJYEERRVK63d+9eZcU9KyuLp556itOnTytZscqVK/Poo4+allPKjB49GrvdrpiH79u3Twns5P4cgMTERLD78kWGVOrZsHjD6/4ZLG4j7JrvzK0vwPF5+uNFjJ5nBabyKBbEjkU4CGOuQKf9B5RDJ7PAP+sK5GZCASwm5j4wV9mWP/f9ZL2U1W11c6f2AQZK2yU3P0K/Yl9iRjZSoHSf8+N+KEvKOscchSuhdQCI9T+mzJ89ezYJCQlue1q12IWcPOdokcVGXPvScnLMrzNmzBh2797NuHHjTMVPtCxbtgxBEJSMnIWFhZ78BG3FgJOa/VPOMS07ANlh9n4gSBAE99JiFhZ3KGF+YabjRQKKsHXAVgBCfEJM51jc3hxPUEUSXmqsryL3c0gPb7+momfLc7CqFfzWDK5KPTu/H5WCuFUu37IJ6XlLfLuWKmoZN25cnueDe2nwF154Abvdzu+//06lSpX45JNPOHfuHL169eLjjz9WBEl++OEH4uPj+eKLLwziIlWrVmXUqFG89NJLSgAZGRlJbGysUpZ54cIFXQ9N8yYNICedqDCpd6516db5+jksbnPsbgL++7ZCJ/PsUIERBHo0GmN66HIuhJxZLAVtNveLD65EBUYpiznHhh4DYKG5KCMAhZyf82Up7gUtM8hAABq5iA6fyIaf/RoDYBf0yqzXrl1j5syZed5vrstj4J49ezzOnzdvHllZWWRkqLWa3bp14+xZcysT+XO+efPmPO/l3Xel3mB3fbUWFnc7+QnazL5GXFtrhwHNBUHYBjQHTgOGDlVBEAYIgrBZEITNBe2bsLC4HQj1DTUdP5pwlBpRNRjRaAQr+638l+/K4t9AK0ZSuUhl3bE9F6QHocLuREMvroUtktdaSpZU91TZZXH/6IG5qqJeAZg0aZJBirtXr16cP6/vDZMzZ1rlOC3vvfceAJMnTwZg8ODBREdHs2jRIgDFMPiHH1T58a1bt+qukZiYiMPhMARz/fv3V7a1CpOlS5fGS5R+H0uPWSXHFkChmhBU5h+7fP9zMOBaESqGaqomChC0aSkSUIRHqj/CKA8Jr/nO9rhmzoDsQtC7tGmp+sHJJZOr3bhcPNngBT4wWc/5/vvv3Wa//DUfP3+7Koz02muvGcSLzNi0aROffvqpsl+5cmX69u3rdn5+M/xyZnDEiBH5mm9hcbeRn6DtFKAtJi8O6KSTRFE8I4riA6Io1gRecY5dwwVRFD8VRbGOKIp1Che+MdUnC4tbEV8vX2pH16Zd2XbsGKRv8BYEgbfavkWdonX+o7uz+CfpUUUV4Nh1fpfumNz/VsKjboL+wWbkJf3RmrufgR2vFPi+Ro0axeeff64bK126NEWKqMqn8gq3lkuXLjF+/HiWLVumEydx993doUMHQFrhl3nqqad0c8qXL296bpky5g/h3333nWqs7d7izcLihljTX+2P+zIJPh18Hp8S96sTClAe6UqD4g1IcnnvTi78jLJdxRkPBjqfxvzt12hcRc12NwzbgF2w00JfCc3vj/yOOEYkMiCSHKOyvlRW7EJgsCRUVEhTeVrK75iybbPZePHFF/P8mVauNC48li5dmjp16lCjRg1FXEjGzIfOLPMvZ9h27jRRCrWwsMhX0PY3ECcIQilBELyBnsAS7QRBECIEQZZG4mXgMyws7lI2D9jMsoeXEeZrXippcefTpYK+rbdjuY4A/OihTIrLmwCoXLgyPjYv3nIueP+uLancNyXP154zZw6RkZG6B6UDBw7o5sgPVaIoIoqiIgAiI4oi06ZN47XXXqNDhw66AO/LL837bn7++WeeffZZXaYtKSmJJ598Utlv2NC8H017fW3ZVUBAAGRZQZvFP0vTkk2Ng3ZNLeKlv6772v2q91NFiJwM3/ABhwpL3wnRXvCgRvQ10AYcVbPNwV6JZI/WFy45bA5axLYApAWhQc6K+zh//efclZOJJ1m2bBmL50tlkznV30Sw6ReLYmNjTc/VZta0aBdmOnToQJcuXRg8eDAffvihMq71d4yKMu/9dWcKfrNITEzMs6fOwuJWJ8+gTRTFbOAZYAWwF1goiuIeQRBeFwRBNjFpAewXBOEAEAlM+Ifu18LitsFdf5vFncv2gdv5pOMnNCqhN8SuU7QO33X/jglO1ft1ZsKROakcuXqEPRf3cH/xasrwAtdAL9NQxKCjb9++nDt3jvR0VSL93LlzujlaRUYzduzYYbAGyA/vv/++bt/f35+UlLx96a5evaqo1L366qvKeGBgoBW03c103IcuA93QKKl/MzAt37NrpO7P/Xbd1/Z3+JuOf7d/qbqtcRB4MLYB7H+XUWXG0z1qIVE+5+GS6vv59lUbH3X4SHctH+eTXLVgc/l+mYMcpF27dtQOlTJa78Qvl1QtNdjtdp599lnd2AMPPMCZM2f4/vvvjT+fv/Hn8/Pz4+LFi/z++++GYyVLllS2T58+rWwfOqT2KdrtdlNj7hvh448/5ttvv/3Hg0MLi3+SfOlBi6K4TBTFcqIolhFFcYJzbLQoikuc29+JohjnnPOEKIoFb7ywsLjD0CpGao2WLe5cqkdVZ0DtAabHqkZK0vbCQWh6ynQKNT+RzH53nFN7wVxLq0g9iUfSpbpKQRAIDZV6LLUPR2C0BpB55513AFi79ub0j6WmpnoUR5E5f/688jCnfVgrUqSIErQl5MC6R9eZnm9xhxJcHu77W92/GYqRbkgYmcDszrP5qddP0kBWknqw5Yobuna3St2UjPmrzrJnd2sQVZKkAM1hy6ZSkDMz9KuaoR7xdA5P1HpCd87eSEkHrlJgPC3DVxuu6e2/lulM5xd+AUA4KAV97+//Qzevx3c92H5uOz+f/JnlLMfH2fxWuXJlihUrZuiDBQw+bgBnzkgdNLKJt5b27dsr29qy60mTVKeonJwc03NvBHkRy6y008LidqHgJj4WFhb5QhAExjQfw4ftP+SLrl/817dj8R+Tn3LZNKcHWZsS9ZWxZ6t210/KdpWgdJJ8BOYJkp2A00ZAFgKRDXVlevXqZXqJypUlARXXlfYbYcaMGURGRtKmTRvT4zk5OVy9epXDhw/rxmNiYvDy8iI3U0pPXsuFSoVdLUIt7ngK1Qa7M5tjc3ieewOE+IbwWM3HlFJmLjj73Mo8CRH13Z+YD0RRpO95GH4RJds+1yQmEb2vT3S7ZJMviD4Cj54XaVbof7oyyadj3uflYqu4whVERN5Y84ZyLAugaAdlf+GehdT8pCZTNk7z/h1VAAAgAElEQVThT/5kVOooRo0ahc1m4/Tp05w/f15nI9C4cWOWLVtmuB9ZlGj48OGGY9pMlzbDKavPNm4sqWFevXq1gL8F+O2339i1a5fpMfm1wsKsChiL2xcraLOw+AcZ22IsT9V9iiIBRfKebHFHI8v+y+TIX7/lnoGYnoAqRjCusSoGUDnmHv2FslzKI9MvQtp52POmOpYkBUBm/SkVKlQgOjraMA5QqFChPH6K/CMHhleuXGHQoEHKw5grCQmS9F23bt1047L0+Kr9UknWtVwI9A7E4i6k4z6o8wH4ufdCvOnUfEv6f3jdG77U0AZDOZ0NkzUqj/GZMNklLhEy8/BVi77PdNjP259zOTDHGQh2i/4OgMzUq0R46685+o/RynZqLlC8Ky+Weod2PdSS7O3ntgMgIrL5nF6qPzVVWjTaunUrbdu2pXPnzhw+fJiuXbtSsWJFNm/ezMCBkvlcyZIllUz78ePHmTZtmu475ocffmD48OFkZmaSnJxMxYoVlR7YrVu36vpj8yI3N5d77rmHatWqMWnSJBYsWIAgCFy+fJmNGzcqGfy///6b9evX5/u6Fha3ElbQZmFhYfEv4BpwfBTSQwrYak8nN1Iyzg5wfiOHeaneAF6l+zD8InRwVjheTTymv/D3RWBxFJxdro75SA9GgiBQqlQp3XRP6nD160sZBa3Ko1mZUp8+fZTt8ePHEx6uzxDs3buXxx9/HIC33nrL7esBiqF2aGgoJ06cUMb9/KQgd/1haSU/MVcytbe4CwkoAeWe/ndfM6oNtN8FZZ7Ie24eNCnZhM+7fG4YH34Jsqt5kADorM8+U+8T02k2QX2Ua34KvG2ZjCw9ibFVPzTM9XMmt75JghQRchwhBHqlkJpmLLsOEODong8Aqc8VoEQJSUxcuyDUokULfvzxR/bt20fdunWVbFdoaChVqkj2BefPnzfNnk2ePJknnniCnJwcevTooVx/586dymvmh5Mn1fsfNWoUU6dOBSA+Pp5ff/1VOZaVlWWVSFrctlhBm4WFhcV/wLObvyGr5lQQBN7bPAuAQAE6l+8MWU657s6H8bH7MDkBdjvb0IYtU3vmdM362l63tQ/CqR8BOHXqlG7+E094fggNDg5m//79ACxdulQSA0EK5JYsWcLKlSupVauWMv+VV17RqbJt3ryZChUqmPa6mCH3ycTExOjsBGw26c+TrIxn6ZBY/OuEVnHveF1AelRWLUGUEkzAq+IL6qToe/UnBWqM7n0KQ0BJ8qJXDSlT5WvPwGFTVScdzv9Sy0r79zgrTmWBn6izqshIKV8/qnlDclnofWUenF5m8G/TZsy03zFagoKCuHRJauIzK6MEqFKlis7yo3CAXhIhv4Ik33zzjW5/0yZJjXfkyJGm82+20ImFxb+BFbRZWFhY/EvseWoPB55R+02+3PElF1Iu8PspSWyhrDd8V7YU/PmoNMErWOnFkB+ugm2QnSs9jL32+2vuX2yz5AWVlZUFYOqLZIbW30l+7ePHj7Np0yY6depE69atFfVJWeikSJEiTJ06lTfffJPatWsDKP/XBnhaRFFEEAQ++UTKHgwcOFAJ9Hr37i1Nys0hyultF+ITkq/7t7C4FfH1UhcxFnZbqB6w+0LnI9D9GoRWVcfvPyv9v0c61J8NDxhFQMwY1HKy6XhmHMzRVJfKAkf3LHgIgAoJqlfd5qJp7IjRnLymA8Xel9y9v/tOKr1cskTn/GRKiRIl2Ldvn+mxXbt2kZ6ebiiLLp40X7efmpqqlGR6QquIGxERwYgRI4iNjaVFixam890FmhYWtzIerV4tLCwsLG4erkIah64c4sS1EyQ7H6B+KgocmKZOcKgmtfJD1ruF4dq1g4QExdLs8ATQqPefzZZ8nwBI1T+UuBMf8UR2thQcamW6QX1A0goJPP/887o5vr6+VKhQgdKlS2PGmjVrdPuyd1xiYqJSGkmO+rA2qM6gAt+/hcWtgvaz4ufwY8uALey+sFsaCHSWMJd5AvZOhuY/q/17dh8o81j+X8gR7PZQT43n9eLwh+DYQtJMEk6F7MYxfIH2sHvZbuLj48nNzV/uW86Yu1K1alXT8enrS+sCsC+++IJLly4xevRoc2sGJ1qrkO7du+Pv70///v0LfF8WFrcy1rvWwsLC4j/irfVvsefCHkkQwAy7JLm9a/AuvDUr9SG/VILf7+UeF7u1aJNlOFm1UVt66AmtP1uHDh1M54SESFmvvBTe7HY73333HbNnzzYc0/aZgCodHhQUhJeX8wfRKGVObD0x75u3sLiFmdBqAveUkYSFakXXol/1fvoJweWhVy4Ua29ytmfEMSLimPyX/HVpLEnsn9L4dgfb4L0INycA1JP+l9+ADSSPN1fy8krTqk7K5ZWrVq1yO3/z5s26CgF3NiNvv/02S5cuVc6xSiQtbjesoM3CwsLiP6T/j/0pnEfNQ5UiVXitmUsp5MV8eKmJuXz//fds2LBBKWXMi4ceekjZttvNltwhOdnV8dscWQHStY9uz549Ol8mt2gybVqxBQuL25FRTUexok8enm83qYcuL2RhpERN/PVM6bo8Z6KIn+5l/O74+++/yUq5QLd60v2+++67VKxYUTnetGlTAE556TP+9ZrVY/fu3eTk5BToft0pPqakpNC4cWOiotTaT7PFpFmzZpGamqp4w23fvp3Nmzcb5llY3MpYfwUtLCws/mNWpOQ9Z2Rj84Z6V5K1i+CppwkKCqJhw4Zu57sSFxeX55yuXbsCqvJjfujTpw8Oh6T+2KxZ/kySc5wGx3sdsfl+HQuLu577tiibp7ONh7M6HqJIQBHFO3K1c21kgvC3cTKQYAswjKUWTsXrhyJ8+5xIk/JST+qff/6pHP/pp5/Iyc2h5ZcteQPJG243u/GO8WbVqlWs+GmBMjfG7xhFfU4X+McESTXyySefZNCgQTRv3pyFCxeaZtDk7J63t7cytm7duut6TQuL/woraLOwsLD4jzE8VzX8GnrrHzzsNjufZse4ztTx0Fkof0wzcG33dd1PfHw8R48edXvc19cXURQZMmRIvq85d+5csrOzycjIyLM8SmbPWUkB7r0rmfl+HQuLu55CteiZWhmAzxOBEnqxD0ewpNZ44nnJYuNjF+tHVxKSNQHVQ8AD8MIKVfWyb89O+Pn5ERys9tMFBwfzzW5J0TGHHMYylu/4DhHpe610SdW7tE/Rr6kevL1AP6JM/fr1ldLv7Oxs4uPjTf0mMzIkVUpthi8xMZH09PTrel0Li/8CK2izsLCw+Jf56v6vqFO0jrJf2F/Tb9YjDUo9bHpe/zZGn6aSmtjq22Q4kwMvS20gnF3/OFU/rmpcec5MgDSnOl3qaVjXA7LUkseKFSuaGnMXlGrVqhnGfH19adSoUb7Of3ed1F/XvVr/G74XC4u7CTG0MjWOw1zioMkC6JkJYbWgiapcKZdILsqj2jnQWbE5vvGLUAmoBhk5qjT/gM5qdv6XX37hgw8+QBAE/t/efcdXUaV/HP+c9EoSWkLviDTBAgo2liIIgigqYsVVUNe+i6LuClh+dl1RFFkRFVdAFBREAbuoCCLSlI4EQguBEBJIz/z+mLkt994kuGgS8n2/Xnll5syZuRPHG+6Tc87zRDprcr09tsSuSzfx+acY12Y849qMJyykiDMSfmRU15/LvI9Dhw7RpEkTnn76acLDw5kwYQLNmnn+kNW3b9+g57qCNVfw5lJeHUmRqkRBm4jIn+zqzlfz402eqUj7j+6H8xfCKY/bKcCDiGjQj7xSOQByLbglHXqlQdZY+0/mzzhLOtKy97AufR2FJYW+J71fB+Y2hHcMfHkB7HiXjR90pMQ6vtXQvvrqq4Dt33//PXFxcWzatIlvv/2WTZs2BeyXnpUKQEhYfMDjIhLY1oNbWV0AQ08eBiYEQsJhwE/Q9DK/vgHTcdT1TKmOD4GLYuHB9GcZZsd5ZOdnQ5SzjmzDc+6+/fv3529/swuhZ+b5ry37db9d07Fe7Tif9hteC6duF9+1r6NHj+bSSy+lQYMGgD2t+sYbb2TXrl3UqVMHgEsvvTT4fwQgK8t3GHHXrt83DbOijiVJi8ixUtAmIlIVNLwAOowtu48xRG+Fec5fxkssyCiGyVnwa0h9akXW4qk+T7mnW57hxH//WPwP3+t4B2dZdrKQkwpT3R+ojpekpABZDRw5OTm0adOGnj17Bl1HF+v8C9Wqvv+InYgE5wqYhpw05NhPrncOnDuP4tpn8PZhiAuBvzozH2fb8ROpWalB/8C0L2cfRwqOcODoAZ/2MyKBvHQyjmZAUa67/d4ZsDeqN+Ex9emZ5FlnFh8fT8eOHZkyZQpg130D+/eKO8NsOR555BF3LUiXJ554wr0dGek/Gvh7LVu2jNDQUJYsqUCSKJHfQUGbiEg1c9leuC8DIrdAu7rtAKgTbf/l+d7P7vXr/+LyFyt03byi47++o6JJRwJpGG1/UmxW5+RyeoqIt7+dYY92la4NWdqBew+w4qYVcIFXEpLkXhBVl9D+y/m1MJRQAwkBPy0GTpmf8mwKcY/H8cAXD7jbYg0sbwr7WkK9p+v5ZIZNr30Ns2bNgqj69Kn7GaOaTKZz9HcsXLgQgNxcO8Dr1q2b+5yypkK63HrrrcTGxrJnjz0V/LzzzgPwWcfmnXXyf+WqPfnMM4ELnIv8rxS0iYhUsiUjK/6X2XW3rKN13fY8lWknMJl/5Xz+de6/mHflPADOa2Z/MJl4CDK9smpPXz2d7Ye2l3nt3MLcMo/7yVwN22eU2eXWW291b3vXbDrttNPKPK/EKqGowKm9FOafvU5EgrvnrHsoeaiE+MiypxbXjq7NaQ1Pg4T2EOoUtW99k/v4/b3sNWjnx3jOuaS5vSbV8qqjSEkxh/IO8UOaJ4OktxFet/FUXeDzXvZOv6W88eZbdhKTuOYANIjay8CUTxk2bBg7d+70W4cGVGjNrStBiWtUbvHixUyfPt2nj6sO3P/q888/54EH7CB13rx5x+WaIqUpaBMRqSSHxx5m3S3rOLvp2RU+p0P9DkweONm937p2ax7u9TCta7cG7CAO4GgJJIXCgBjY1Axu+vBaznztzHJuKPDaMpcPNnxAx5c7UljsrJH7pAt8P6LMc6644go+/vhj0tLSeP/9993t3bt3L/O87LwsXnDlZ1HQJnLMzLHUfAuLgSuO2llrYxq7m+NjGvh1vbStXfz7SK5XwFNwgKQnkzhrauDyIlO86l2P8Z41bRWzLn0dCzYtsPdbjwYgIgxu7AXDhw/3W5cWSHR0tHu7SZMm3H///e791NRUfv31VyIiInyKcINd523Vqt+XudJbnz59fDJTbty48X++pkhpCtpERCpJfGQ8Hep3OObz6sbULfOaX173JQOcOOfjRtAmAv6eCCF5+6CkOGgQdM5aOxHAJ5s/wUwwjFk8xuf40FlD+WX/L7z848v2dVxKyi6UO2DAABo1auTT5qr1FsyB9OWEuj5zhkaX2VdE/iDF/qPvObnpAMSFWGxxqnH8dXbwtXPP93066LGcsCQ6vdKJQTMG2Q2nv+Q+9p8b7aRF3iNtruLYLkuXLiU+Pp7bbrvN3TZo0CCfemwNGzZ0F/52lTL54osv3Mc//PDDoPf3e7Vr1y7gCKHI/0JBm4hINdOoVqMyj5/b7FzaRMf4tD1WF3a3BGaGQVHZ1byv//B6AJ5Z6r82I8bAndvuglVexb6P7qjQfXsLuiZl8yswtyEvLvUkC8DonyqRSpG92a+p26EvmOSMgrd2YqPNuwNPi/zppuXclf1e0Muf++7V7u1Ve1dxuPCoX5/CQk/22w0bNvgcu+CCC7jnnnuIifH8vqtfvz7BPPjggwB888037jVu3pYuXcq0adOCnu8yYcIEJkyYUGafffv2lXsdkWOhfwlFRKqZWpF2go76sYE/nISYEGJaXHnM191dBHm56aQfSQ/aJ8WVtG3Ds57G5aOhINMuIZBW9nqOMqdsWRb8eCvk7uHMeP8CuSLyJ2t3l/2908PQfwUAXfLWcWuib7e6of6ntgiDzt8PgAPLAl760YPw815Pbbaur3Yl4YkEv375+fmkpqYydOhQ97oxgPnz59Mkdhv8dDdglwi46667yvxxEhM9N/7KK6/4HV+8eDE7dhz7H6EC6dDh2GdRiJRFQZuISDX0zfXf2FnfgjntxQqvBfvoCKzOh4ZhsPvdZJ9j9392v89+eKALhETCYWcNxy+Plflae/fuDfyh6JfH4VPP2r6OBxdV5NZF5I8U09he59bpX1DbP3nQeWn290BB25eNIazAN+3/K/Vudm+fHFH6jMAsy2LatGl07tzZZ9rjT7V+YljcS7Dx31BSTEpKCgkJ/kFfaa66b94JQw4ePOjTp6ypjenpvn/UKi4uJj7eP+FLTk45VctFjpGCNhGRauicZufQJKFJ8A5h0dCnjKyUnR5mSMhgorfAxbvhFKdcUctwsNpAQWuoHQLvL38CPmxBcdpH1A7x1E7zUfdMO3ADyN4CP/wVCrMDvmz9+vXd9ZYA1qWvo85TdWD1A5Dxvbu9Q6g9hTOvZ/CpVSJSuX50suefFAEHWkLWXz/mwXMepF4oNCv9F57B2/jhiGf6401BZg9+4TVDMqxUMNisWTMA3uAN8J7dWBT4900grhIAeXl57umWL77oWxblyBH7909xcTG//upbv9L7j05FRUVceeWVZGdn06dPH/e1gYCBnMj/QkGbiMiJKqkLAAW12vN549vdzZfndqao/VhKrBLyLAiURiTcwIFWMCQWOLKd0G8u4kAre02bnzX/hKXX2tsFB2Hb6zC7VoVucdrP0ziYezDo8ah65WS8FJFK8fhByLUgpwQuiYPaoVBr3TgeLvmW9JYBTohrQYd6HVjtDGJllgS+7mXpUXycegoAtZ3JAm/OfBOwM0M++OCDbGe770k73+f3cAVngM8atW3btrFw4UIeeughOnTowJYtWygqKmL+/PmEhHg+OhcUFDB79mwAhgwZQkpKCiUlJVx//fXu5Ccix0vFSsqLiEj1YwyMsIgAelsWzLD/mjw7bQ2zH/VMM0q9K5WMz86hbr7/tMXSS9Digv2pL2udf9uK2wEDp08MeoshJoR6AaZWucWUnXRFRCrHA87Mx4xicP+aOPhj4NGA7q8DcHbTs+n5OUSXMWRwsDCPvK4nQc5qmjeIpc3zXbhuw3Vci/2HIVfdtee8k+hGBs+oW1pkg0jy99iR49Gj/olPAGbPns1TTz3luaeDBykpKWHlypWsXLnSpx0gIiKCOnXqALB27VqaN2/uV7g7Pz+fqKgonnvuOe6+++4K36+Ii0baRERqgjISgDRNaMrPDa4OeCyr1DDctYmeYC//jCllv+aml2DTi0EP5xbm8szSZ+hQwbUtIlLJLkmHBgPY0tOz5rR2YluaRZT1lxeg1UgAujXqRkJcQzKCVAlx1Zt8acO7ACz9ch7f7fwOgBLLMzTXtk5b7vau91YUOPjylleUR+qhVPJvyIe/2VMtXevbSouJifEZUXvkkUcoKiry67do0SI6dOjAAw88QGZmJgDLltmJV6KiorAsy9139+7dAIwZM8bvOiIVoaBNRKSmOOVxLtgV+FBWrU4B2x+t47t/ZWyBe3vKth/ZEd3ud91KxtEM3lj1BgAJXv8SlUQlkxnfEYDNVtzvuraI/EGi6kGvj2ndrB+P9noUgIiYhhir7FqNLmEhYey6J/AvoZcvfJmXBth12vY7l7t3wfXu44fyDrm3cwtL1Y/7fkS5rx37WDRXvdqcBlFAPXj00Udp2LBh0P6nnnoqALVq1WLhwoXuaZDeWrVqxWWXXWbf8/79WJblXrObm5vrk4zkP//5D4BPEW6RY6GgTUSkpugwlvn3+GZF61DPTksdER5Dg23+p9QLMok+cSvc8cN/6LN+Q+AO5fjLm3/h1o9vJSEEnq/nab+ssAez0+yplm2Msq+JVFX39ryXbXdsIypnY9kdo1KCHjqpzkkAvHXxW9x8+s3ER9rJO1xB29Gcne6+GUczAGj3Ujt2Ht6Jn5ztZd7Gv2rDt02cepVAbGwsEydOJDs7O2Ag1bp1a1q1asU999wTtJTA119/7bO/bNkykpPtDLxpaWmkpqZijGHWrFnuEgBlBYrlmT9/Pps3+9fOk5pBQZuISA0SERrBltu3uPfv7XkvAJGhkewthlmuJGxnvlnmdbKcmUq7vGcMnRRknYbXFCGXtelrAbihFrRwZZkbdojV+9boHyaRaiA8NJwWSS0gd0/ZHQet92taduMy5g2fxy+3/sKyG5dxzSnXYIzhlGQ7AYlr+qT3eteMoxn8lvkbGw9sJCrQbO+jaWXexvVeuZEM8O1335KXl8ezzz7LI488wk8//QTA9u3bAWjXrh0DBw4EIC6uYqP+O3fudAeAoaGhXHHFFQAMHz6cq6+2p6AnJSUFPb8slmWxcuVK3nnnHfbu3fu7riHVm/5tFBGpYVrVbuXedq25cBW9Hr4X5pwyq8wEIFs8MyQ56hWPWXl2Du/c0lnh8jN8dtele5KWtPZKC26F16LYKmZmxbN3i0hla3tH8GP1zoaIRL/mbo26cdFJFxEaEkq3Rt3c7bERsVjjLD65ejEZxZDsFbSlHU7jm9RvAGgXaB3snkXwjoEs/yARYKfXH5hqhcAvJ//ic3z+/PmMHz+et956y91Wu3Zt9/aBA7415wJp0qSJO2hr2bKlX7kAqNj0yIyMDL788kufNXGFhYXu7VdffZVdu4LMdZcTloI2EZEa6Kk+dmY01wemMxqe4T4WGhoJKb2DntspQG1sgMz6ffgxD/rvLnWg4JDP7p3vnMfcBhBr7JE2l89/+5zth7bzeanlKiJShTXo69nu/AgM3gYXbYbWo6D3V7/rkn1b9eVgMSR5BW0jPxyJhR3EJDqfXofutksOAPCLvcaOtZ7U/S4lVgmbvP7Y1DECFqUtwrIs7rjDN+gsKQlci8CVHRLsBCSBbNu2LWDCkvKun5GR4ROgTZo0iW+++YbHH38cgH379rm3vV9LahYFbSIiNdCYnmMo/FchJ9ezawklRnn+Gh4R6vwZ+/RJADyT6XtungV1YzwptkM3w0WZDajzzg102wnf5AJnv+s+/smG93h7zduYCYZPFg/n/ToHuTgOukdBlNe/Qn2n9yUuwp6GdEs6bO30wnH8iUXkDxHhGY2i4z8hrgXEt4Zur0JIOVkly9A2Aq70qk99RYcrSMrZQN8YaBprv+buIuhWennbjll+1zp32rnudXJgr21z8R5Nq6ilS5fy0ksvkZqaCuD+vnnz5nKDqU2bNhEdHe3e379/P5MmTWLWLP/7do2uBVrH9sUXXxzzfUv1pqBNRKSGCgvxZBkxxrDptk1c1PYizml2jt3Y9lYYYTEmA/q7ZuKEJ2CNs7iy45Xuc0uAjzJKrWtpPBTa3wfAI18+wDVzr6FLJAzImEWi8znuzChP94VOjdvBJw0GYHIWFDbod7x+VBH5o9Q+7Q9/iRgDmzdMY8iOJ1ncCN5Msuuj5VtwpNTAVV6dHhSX+E5B3Juzl+ggVU8iIvznWr788stB7+WRRx4B7NGxadOmMWXKFLKzPXO6XUGb93TG0vLy8twja/fffz8AGzcGTuiyZMkSPv/886DX2rBhg9a41RAK2kREBIA2ddow78p57tEul2Hth7Eiz9lxaiW5sr7ddOpNAa+1Zv+v0HAQYH/gAjg/2rfP37yWugx0plQu3bnU3eZ6DRGpwkIj/5jrtrCLaQ+JhSOtYUkT/y75ltf0SEfUge8JnRkG29+Bj9rDwtPZmrnVZ1TfpbC4MGDQlp6eHvCWbrjhBr81abt37/YZOXMJDw9n/PjxJCUl0aNHD7/jeXl5pKamuksEuLgSoriUHlErPTI4a9YsXn311YD3KycWBW0iIlKm5Nhksl3LLVrbQdqo00bxysBXeHlg4L9I5xflQ1gMAO0jIL5Uan+Ahl7lBFyfu3479Ju7zZRREFxEqpDLDsPl5Re4PiZ1zwLggzIy5A/regs5/slpbd9fBYfXw0E7CBqd4Hs4ORQO5h4kMtITdJYX/CQ3TA7Y/txzz7nrtZV25513BpyCefToUVq3bu2eWgl2kpKPPvqozHvo06cPTZs2BWDCBM/6vWBr8eTEoaBNRETK1CyhGQUWXBM2FLo+Ddjpvm8+/WafKZbeDucfhlA7aJtYHw63CtgNgPT+gbO9iUg1ER4PYf6jTf+T7PLrkT26/BUKLHj8YNn9OgbINvl1Y7uMQOPGjQF7muKoUaNIS0tj/frAv5MmLpvI3LlzfdrOO+886tatS/v27YO+/quvvsp9993n05aRkUFRURFZWVnuth07gmR5csTFxdGgQYOA/VzTNivDnj17+Oqrryrt9WsKBW0iIlKmf/T4Bzvu2sH0y+eAqdg/G32n94Ww2Ar1rZ90EgaNqomIl0aDyu1yZuMzAXgys+x+a5s5Gw0HQUJHAE6KgKjNkxgyeDCzZ892j1o1atSIdu3a8dBDD9GxY0eWR7zmvs7h/MNcfPHFPtcOtHatd2/f7Lvh4eFER0fzxBNPuLNQtmvXjmHDhvlMrfz222/L/Dn+8Y9/cNJJVW/a+JQpU/j666/Jy8srv7P8bgraRESkTMYYmiQEWFBSBguL7ArUI3JegKRoT8HZEZ1GcHjs4WN6PRE5wTjBVVAXrmHJyCWA/7q2oBoNhJJ8926r1Fcw2RsYNmwY4eHhPl3fXP0mj20exoJmnqLdUcV2xqRbb73V3eYdtA2/fBj9OofSKMWTXRc8iU3y8vK4/fbb3e2JiYk+pQQqksY/2Hq7qiBYKQQ5PhS0iYjI/2TXPZ4ir/f19EwBqvfvFsFPSjzF/n6WXcj2YK7v/Kb4yPjSZ4hITRKe4NeUvA0mp9wF58yBxE6EhYTxQv8XqOCfh+xrhpRKnLKgA1j+C+NGfjiSlU192/2Mc08AACAASURBVC45/DGHs7byYcs5tLu/KTGR0LVrV/fxk7Ke5azcfxG16+0yb+Oqq64CoHHjxkFLDpQedZs6dap7OznZd22dq9B2Za9rW7VqVaW+/olOQZuIiPxPGsY3ZHjH4UwdPJUn+jzB7d3svyTnB0kQYDbjmToZa89bWjBigft4QXFBgLNEpEYJ9V2INv4ApBdD17bDoclQd/sd3e8ofSYAN+0L0BieAJEBgqQ8/5T5pzXwlDIYUO9jLqj7Ce3yNlBrQWsW1N7L+o47OPI6TJw40XPStmkAROb/VvpyPtq0aUNSkmd2wdKlS32Oz5kzx2fdWl5eHjt3egrSxcZ6pp5blkWDBg0A2Lp1a9DXTEtLY926dWXeVyCWZTF//nwOHToU8Hig+nLyx1DQJiIi/7MZl87ghq43APBknyeD9lvd4TleH/w6tB5tN8S3BeDCNhfy0oCXAGhfN/iCfhGpQcKcEfdLM5jgDMZ3b9w9YNeYLbDrbPuPPzlRTXjtMIRthjH7vTplb4ZTHqcottQsgLn+KSr7tuzLklx7u1vics5MWuY+dorXYF1IWAgc3Q2feIK8yApMJ7/zzjvd24cP+04HX7NmDW+88YZ7v3QmXe+yABMmTHAnR3nnnXcCvtbXX3/NmDFj6NSpU7n3Vdrq1atZuXIlL7zwQsDjGzZsOOZryu+joE1ERI6r6HDPwvp3s32PndLpNkZ2HQktr4URFkSnuI/9rdvf+Hbkt/zrvH/9WbcqIlXZ5Yft3xORdcrtmmtBoxS7HtrR5L4AFAPPeg8QJZ8P9XqQ1fdHapUelDriSb2fX5RPQXEBqcHrY7tl5WfB2nGQudLdFhVnT18MVJ8tEO91ca6EKGeddRatWtlpd0NDQ336v/DCC2RmZrJkib2mz3uEzTuI27FjBwsXLuSrr76iXbt2nHfeeRW6H29hYYEzBMufT0GbiIj8Ya7YC7/185qSExIevDPQs2nPoGUERKTm+nbkt3xy1ScBjy2+ejHjzhsHEYkwdDfRpz7tPmYBT7mWzCbYo/gJUQlkl8C5O70usuF5u79lEfVYFM/98BwJFfiU/NwnIyE/w6ct1DrCgw8+SJ8+fejXrx9du3alc+fOQa8REuJ5Icuy3IlORowYQZ06dSgqKgLg+eefd/d74YUX+PzzzwG75pu3NWvWsG/fPqZNm8ayZZ4Rwl69enHxxRf7FQh3mTp1KitWrAh6bzt37iQ/35PIxQqwFrCy19WdyBS0iYjIH6pF3Q5w+REYXoE/W4uIBNCzaU/6t+4f8FjfVn0Zf/54eye6AdGRtXyO33cAe8TO+aNRWEgYXVK6kNBkoKdTsZ2ufs76Oe6mi+LKv68DOz6CtA98GwsOkV+ST5dXu0BjGDx4MBdddBGnn366OwmJt3HjxpGTk+Ou2fbll18CdsB022238fjjj1NQUOCTtbK00oHb5MmTA/ZbsWJFwAyUlmWRlpbGggULfNoLCjxrjF9//XWmTZvm3t+7138t4FNPPRX0HuV/o6BNRESOuzMangHAfy/5r90QFgMaQRORP0FYSBjWOItPr/k0aJ+NGRv5aPMCiHASgjg1KNel2zMDEiv4CfnV5ACNG55lzZ7lrNm3hh6v9+Bw/mGmr53OhRde6FOXzaVHjx4kJSW5R9LGjRvn1yc8PJyIiABVwoFBgwYRExNTofvt3LlzwNpyrkCxtNKFxvft28eECRP47LPPfMokNGrUCMBnJE6OLwVtIiJy3EU4md861T/2he8iIsdDn5Z9AEiMSvQ7lltkZxk5FNUcAMuEQ+4eBoRl8HNT+GfgTPwV9saXd7u3E55I4IZ5N7Byz0r3VEeXUaNGkZiYSMuWLd1twcoAAAEzQD7xxBMVvq/i4mJuu+02n6mNa9eu5aKLLnLvex/btGlTwOt89913PlMv27Vr53f+hg0b/JKsVJYjR45w8ODB8jtWYQraRETkuJtx6QwmnD+BjvXLKZArIvIH2vP3Pfx2p38K/ofOfQiAVj//DEB6YRHF3wyl246X6BIJf0/y6nx5DgzZbteHuzgN2o+Fs6aX+bpb0lf7teUV5fkFZFFRUQA0bNjQry2QDh06uLNAXnfddQCkpKSUW9jaVdutR48ezJ8/nwMHDgDw7rvvsmLFCpo29RSlCzQSF4j3+rdu3bq5r7Fo0SJSU1OZNWsWL730UoWuBXamSlfNueOtS5cuPoXMqyMFbSIictw1SWjCQ+c95JeqWkTkz5QSlxJwpM01G+CgkzcjYftUQg8s8+tH7y/tupKxzez6cDGNoMvj0OwKn257Q2ozMsMz9bF2aOkLQXZBNvHx8T7TH2NiYqC4gBZ575PozHCMjIz0P9nL8uXL2bNnD1OnTuXo0aMkJCSUWaMN4OSTT/bZz8nJYcGCBaxfv54dO3bQrVs3n2Pgv04umEsvvZSIiAiaN28OwLJly9wlCwoLC1m5ciV79uwp9zoffPABr732WoVe81ht2bLlD7nun0lBm4iIiIjUKD2a+Kbjj7KCrMVKCFI3MiScEdnN3bv/ie7NG5m5dHYqB8xu4H9KZm4mqYdSOW3KaZzRw173GxERATvfp0nGRG7rZ/dzBU1uuxfB/u899xoVRUpKCqGhoURHRxMWFkZ6ejo/O6OGAGeccQatW7d273tvX3311UyePNlnpMy7mPfcuXMpLi7m7bffDvyzl+KaAukd+Hm79NJL6dmzJxA442Rubi6fffZZhV4rmF27djFnzpyA2StdpRGqO60KFxEREZEapZZXhslleXCwGAbEBugYnhD0Go1aDGPbnmdoGQ5v/DIbgM2lZhY2S2hGapYdyWXmZdL8heYALG29lEfGPWJ3KsgEoGGSPY3Rr57aV07WzBH+AY9L7969+fDDD1mwYAE7duwgKiqKtm3bEh0dTdOmTRk3bhxxcXHk5OTQunVrNm3aRNu2bd3ne4/EjR8/npCQEJ/RsR9//JFFixbxz3/+0++14+LsNJuxsYH+A8L1118P2DXk6tWr55cF85lnnvEJtgoLC32SnJSnsLDQPULXp08fatXyzR6ammr/9/f+easjjbSJiIiISI0SHxnv3j5aArGBPhFfnAahwacqJkYlst8peZbvxFN5XnFVfAisvXkNz/R9BoCMo556bst3L/d0LLEjvVtuvYO9e/f6FdOuCFfNtqKiIho0aMCbb75JRkYGO3fu5MYbbwR8k4WUXjvmWvMG9vTM119/3b1fu3ZtFixY4JdExcW1xq4i9u/f77O/fv16v9Gxt956C4AZM2b49S9t7dq1/N///Z97P9CInWst25tvvlnh+6yKFLSJiIiISI3iPdJ21IJzS2fiH7rbXr9Whju638GnDW9h9D7Y5cQzV3S4gu117KyVh1tB/LZX+HuPvwOwYLOnBtrirYv5bsd39s7Ku+zvoQFS+ntPJ8zZXu7P5RIf7wlKe/Swp4L27t3b3darV6+g55ZOhLJx40b39pw5c3z2b7rpJp+1yzfffHO595aXZ9fEsyyLSy+91O94Wloa+/btY8SIEQwdOrTMa23YsMFnf+3atdx+++3cdttt7jbX2ryKlkWoqhS0iYiIiEiNUjvak8XxqP8yKDv5SDniI+P5Z/+XmZrtGRmb9cssmtXxWge3aqx7c/kue3StRRgsaghN14/3vWDGUsjdC0VeCUAO/uTZProz6L2cf/75PvujR492b7umLUZFRVG/fv1yfipo06aNz/q0WbNmubfXrFnDzJkzeeaZZ3jiiSfc9dlcEhP9k76U5lqzV1RUxBVXXBGwj6vem3eAGEhIiH8oU7duXSZNmsSRI0fIy8tj6tSpQPDpm9WFgjYRERERqVEivEa1Ck2AFA+hFf+Af2/Pe93bKXEpmMIs3w6HfsFqA2OT4K1k2NYC+sVCkwOfUfcprzT0+7+DuQ3gw2aetkVneLYLgtcZ+/jjj93bK1eupLi42L3vHUgNHDjQ57xAdd+6dOnisy4sM9Nec/fkk0/yzjvvYFkWOTk57hEzb95JVNauXRvwXl1THgsKCnzav/rqK/f2kSNHADtJSVmCrX3r0aMHAwYMYPTo0SxevJg6deoo5b+IiIiISHUVEh7vs5+yDQip+Lqyx/7ymHt73S3rYP+3vh0+tutVPl4XrvHNkUFOXoBALN9Z+1Y602JBJpZlMXf9XIpLPEEZuz4ien4yfc4/C4DTTjvNfWjNmjU+I0ylR8K8g72//OUvfrcyfvx4dwB47733BhxJ279/PwMGDGDMmDHUrVvX3b5582affj/88ANg14Yj/6BPPbjx48fz1VdfuV/rscfs/6ZHjhxh8uTJAbNOrlu3zidjprd+/fqxZMkS3nrrLQYOHMjtt99OWFj1zr9YoaDNGNPfGLPRGLPFGDM2wPGmxpgvjTE/G2PWGGMuPP63KiIiIiJyfJlQ37VO0674OEjPIOc7a7qiw6KpE1MHcsqumeYtqqxSlsWlRrKKc5m5biaXvHsJIz8c6Wn/6W4oyubTm5b6XaJ0kpDSI1NHjx5lypQpjB49mnPOOafc+/VeK+cyZswYFi5cyDPPPOPTfujQIXfR7+XLl/smHFl0ht9IG8Du3bsBe71bo0aNqF+/PrfccgsLFy4E7FE/12je+++/X+79NmvWjFNPPRUof9Suqis3aDPGhAKTgAFAe+BKY0zpohX/BN61LKsrMBx4+XjfqIiIiIjI8RYaHufZ6fcDA9oMOOZrZN6XSca9zgjZsEMVPu8a/xjI9lF7z4hbmHN/RbnkFNgBy/Q10z19cwIXju7SpYtfW0SEf7KTzz77jJSUlArdb6DzZ8+e7bO/fLm9du/o0aMsXbqU8ePHU1JS4p5mCVB0eIfPKJ+LKwtm27Ztuemmm9zlASZPnkxeXh4TJ07k2WefrdC9Dhs2jJEjPcHtyy9X7/CkIiNt3YAtlmVtsyyrAJgJDCnVxwJcA74JwO7jd4siIiIiIsfXulvs9VxnN/UaYarb/XddKzEqkZhwZ8QuIqHMmmreXnTlBbngR98Dh9fDh03t7dNfsr///HeSQj0f3Uss/wwqgwdf5N72Lpjt4l1OIDk5mR9++MGnRlv//v3dSUgOHfIEn5dddhkQOAOjKzujy+LFi5k2bRoZGXbQ+frrrxMVFcWKFZ6fMbckyl0/LT093d2ekOBfFy8+Pp558+bx/fff+7S3atXKZ//OO+/0yTbZsWNHv2sFmmZZXVQkaGsEeKerSXPavI0HrjbGpAEfA7cHupAxZpQxZoUxZkV5dRdERERERP4oHep3wBpnkXLgy8q+FX7OSmfcodJ1BxyRnnViw3690b194OgBv67nnnVKhV/z5ptvpnt33yC1e/funHvuuYAd4N11eVsuH3gmM2bMAKBDhw7cddddZV63qKjIHZAdPHiQkSNHcvDgQQZ2gWEp9qhcbrEn+PMecfMO4Fzq1q1L/fr1/Y5t3eqZhpqYmEh8fHy5UyC9yxNUNxUJ2gL9dKXD1CuBNyzLagxcCEw3xvhd27KsKZZlnW5Z1un16tU79rsVERERETmunI+1URWbIvhHOH36QLIKgwQcJfkBm7cf2m5v1DnT3da3W2P3titwKi0yMtIepdr2Juxa4Hc8JiaG7t27M2LECJ4fsolZI34g9LA9KmmMYfz48eX/QMCAAQNISkoC4JtvvsECYkLtrJDZRZ4pqd6B1J49e8jK8s2+GRoaysUXXxw0/X/Lli258847CQ0NJTc3170urrRA6/Gqk4oEbWlAE6/9xvhPf/wr8C6AZVlLgSigLiIiIiIiVVltJ63+aS/88a/V+VEYkspBy3dtWAnwSlbgU4htEbC57/S+9kZRNkQlA9C6mT3fsl+/fsTFxQU8b+zYsVw99Fz44Xr4epDfcWMM/Xt149RaKzyNn3jWxyUkJDB06FDeeOMNn/N27NjBf5+5muKj6bzxxhu8/fbbPsfrxEFMqD2V8u3d17rb77vvPsCe3ggwd+5cAAYNsu/t6quvpmHDhj7X8i43MHz4cPf20aNHef311wOu0bv99oATAauNigRtPwJtjDEtjDER2IlG5pXqswPoDWCMORk7aNP8RxERERGp2k5/CdrfB00uOb7XHbQRei2GM9+AK3Lh7HehwwMQ25TaVx71615ggdkMF5ceGqndFZJ7AbChADrVtzNC1ot1Zq0VZkNscwBifrqGL774wk4OsmM2HLDXkV0952rMBMPenL32Od614AJ5vw4sH+3blu8pTzBnzhyuvfZan8NNkuMY0eBtQr4dynXXXUft2p4C5gsWLKBuPNQKO+z3UqNHj8ayLIYNGwbA9u3bufzyy/3WrHmbOXMmALVq1aJ3795s2LABsDNEFhUV0aFDB79zgtV0qy7KDdosyyoCbgMWAeuxs0T+Yox52Bgz2On2d+AmY8xqYAZwvVWdV/qJiIiISM0QVRe6PAEhx7mOV6220KAvtLwOQqOg6WXgmgoYEgoNLgDg4yO+p314BG4utbQr99wFfHoU2kXA6tGrANhy0MkaWZQNcU6AU3SEXr162cWxv70cFtlJRf679r8ADH9vOL/bzvd8do0xzJkzx9NQ5ASi+7/zO/XCM5N59iqIDvUvyO2qOXf22WeTk5ODZVmcfPLJREf7r/Fr0KAB4Jn6OWPGDJYsWeJOpuJa01Z6lNF1XnVWoTptlmV9bFlWW8uyWlmW9ZjT9pBlWfOc7V8ty+ppWdYplmV1sSxr8R950yIiIiIi1VqvhQzIbMzAAEuwSieUaDmxJcXOcIgp9kR5D385DgoyIcwrq+NP98DOuQFf8sfdP/o3lhT57hfmBL7fX57wa2rXrp1np8hr9LD02M3Wae7Nl57zFCOfnTub/Uc9k/O8C4EHKi+wZ88en/3Dh31H7lxBm/f6taFDh/LXv/7V71rVTYWCNhEREREROb4+GL2FjvX9U9OnOXHU2nz4Jf0X9ubs5V1XLJXvyRpp1j1sb2x9zXPyxudhie9Uz6iwKACOFvpPy6Qo23d/w3OBb/bIb5DnOwToHWRR5BXsFdhTKS3L4rLZl5GZ5ykfkJlT6N4OT/zFM2WzFGOMzxRLgBdffNG9vWLFCp/kJOvWrXOXH3CVDkhOTqZz584+pQ6qKwVtIiIiIiKVIDIskqf7Pk3ThKY+7R8dgVH7oPtO6PiKHdQdKHYOFniCthauZVoNLwz6Gjd/dDOdkzu799MOp/kcnzK9DQ9//TCr9q4ia/dnkPWLz/E3vQezll4Ph36h6MNWkJfhDtpCQ0N9g7bPzgNg5Z6VvPfre0x3pmceDmtLcQl0rbWSFtHb+Lkp7DkcvLzz7bffTlGRZyTwwAHPz/7RRx/59O3UqZO7HEFsbCzXjxjCdcmTIGtD0OtXJ8d58q6IiIiIiFRU/9b9Sb0rlae+e4pdh3cxcflEAP5TKmfHQVfQ9tOdrBq9ii6vduGzo3B1LeD0Fxky+WM+9E2yCMC8Va+yrxgm1Ia7kyDh+SasbQodIu3jo6IP0OzbcYz7ahxWG99z626FAyVwXS2nYc8nsOcTwoCfVz5G+9PsKZMXXHCBPU3TJesXKCl0p/O/I9FurjV4CTfe/CCDkz0jgwcPe+qtBZKYmMjEiRPdUx+fffZZCgsLyzwnMjKSZmY55K6DBSdDfFu4KHDJgOpCI20iIiIiIpXs3p73clrD04Ie79fOzq7I/u84qe5JAFzmLN3KKsxn3pHA5+1uCUdawUN1ID4E6oZCdAjklHj6pAaoKvDUQTtgC2brvhVEhoeyevVq3n33Xcje7NshZ5vfOQvTVvJaymukesVcV226I/iLYBfR3rFjB/v322vfsrOzfVL+l3bGGWcQEhLim/0yexNYZfww1YCCNhERERGRKqCw2BPN7B/jWz3rmnOftDcaDyUqLIqMMRkMdJaUTVhij3htCzIAFeX1iX94HLQMh00FZd/LfZ6ZiFgdHvQ7Piz3W5gZTufOne1pkj//w+f4/m0zWZe+zqdt6c6lADTf7nutkR9cT35R4CLipdP3r169Oug9n3/++SxfvjzwwVLTPqsbBW0iIiIiIlXAwLYDSYpKYuWoldSNqetzLDmuAUSlQKTdXiemjvvYv39+C4D+u8p/jYl2/W1OjfJtr++Vq6O4VPLHcQfLCBneMfCJ/whhvV/Hc90H1xHhpMJ8+RA8/M3D7uM/hXvmYh7a8iaLtwZOPu+d+dGyLDp37sytt94KwMaNG30yWH7yySfB7/PjzsGPVQMK2kREREREqoCUuBQO3neQrg26+rR/cMUHRIdH26n9c7bZaf0dK/LAFWO1atqX/2TB+nJG0Vxa/ubZ/m+KZ7teqZmNj3zzCP9OvCb4hTJX2t+jUuBMT3r/UODLRvb2qlIDaTs6PunejjRQUBz4pqOiPNFliTPFcdKkSViWRdu2bUlJsW+8f//+dt/1zwacmlndKWgTEREREanCBp802N4ozoV9n9tp/WfYQ2One42Y1Y6px6h0aJ8KkVvA8qv45jE7G37zKtHWx6vUW2YJzBs+jxmXznC33f3j9HLv8xARFDaxC3j/J8uehtnDqZGdXWpJ2aC2g+ho18hmbG0oLCk7uQjA5BWT/dpmzpzJpEmT7FG2vZ/Z0zTntSr3WtWNgjYRERERkSropDp2whFXFkZyvYpLB0isEWI8H+0LLCi6Ip8nDga+9tX7Arf/1Wkf1HYQWXlZPscu2Q33ZQS/37WZO1iXsR6AmxLgniTPsZxSUy7DQ8PdIWWXSJi96Ep4x7B915Kg13/0m0f92pKTk93TJdn7RfCba17GSGE1oKBNRERERKQKWnbjMn6787fyOwJP9XmKsBC7mtcFrS7g4nYXEx4azpeF8X59k7baQR3AolJZJxc79beNMZ5g0TH3CDyVCTtMQsB7OCcaTp1yqnv/Zq9upUfaADLD7QV2y/PgFqfv6HfO9e94JtAZ9uTYQevu7N3MXDfTPV3S7dfHffe7T4XTXoThRXDWmwHvubpQ0CYiIiIiUgUlRCXQPLF5mX36ZDYD4MI2F/LYXx7j8g6X897l7zH3irkATL98rt85h7xinXGc6nMso9heQwcw6rRRvDLwFb/zP0+5IeC9zMj23f8217PtHbStHGWvgZt1+Ry2FtiZLF3TMwstOJzvKVJXWFwI/YFLnHvf9g6jX23Ele9fSejDoZgJhueWPhfwfvJjmsNJt0FIKJjgU0WrAwVtIiIiIiLVQetRfk11krsDEBMeQ8P4hswaNou4iDj38foNzvN0PustPm12HwCfXvMpWWOz+OGmnyAk0t1l331ZDGk3xL1/8+k3s+bmNT6v+erW72n5G5jNdtKSm/ZBrzT7O8BI5/vZ0Z5zFl/zqXvblWilZ9OetEruahcIdySGwOq9nrT+rtE19/EfrmJ+qSLieT/9nYK0j/z+25z1Zu+gCU6qGwVtIiIiIiLVwRlOIo7650PPmXDxTqYOnsrHIz6mRVKACtkAzpRJAJpfTZ8ej5N6Vyp9WvahVqQTLZ3hGU1zt3npWL+jz/4L/V9wJzHJKIbXDsNXuXDEmXJ5qNj/Nuok9wx8f+G+Uy3nNITojCV2opWCLJ9Rt9JuqAXnRMEDtSHim4v8jmeVQOSjkQHOrH7Cyu8iIiIiIiKVzhgYkmrXaguz5xPGAQPaDCj7vAvXQF46GIMBmiY09T3eaiQsCzzl0X5Z36mF3Rt3L/PlsryXmpkwuNLODPnTqJ/Yk+07ckbeXr/zT9/oFPPe9BJv7cnyO+4yNdm/bZ8VSbKx6wtkOMHjlJ+m0DShKf1b9y/zvqsyjbSJiIiIiFQXsU3dAVuFJXaClN5l97lkH1ycFvTw032fBuDRXnYGx8a1Gvv1GXfeOKBU0HbmG+7NUxucysC2A31POpIa/J6Ksnn6e/t1T657ss+hqCBL1A4UeArCHXbuY/RHoxnw33IC2ypOQZuIiIiISE0XVR9iGgU9fPeZd/PfS/7L2LPHApAUleRz/MUBL9I1xV6r5pPTMa5l2a8bkejetBoN9jlUEuVZvPb+5e/TJMbzmt7r5bzdvt/+vjo/8PHqStMjRURERESkTKEhoYzoNMK9P7zjcNZ+sRaA7Xdup1liMyzLXtS2yjtgSupS9oWLPDUHzMljYNc8937+ppcAiI+I5+R6J0NBpvtYq/DAl/s6FyYcgOl5CTSIi/FLZFJdaaRNRERERESOyX097yMh0k4i0qiWPUJnjGH7ndvZ9w+vyt1hQYbEXM77COJaQb8fIMp3kVp0zmYAJg6YCEBtr8jl301LpZAEWm2HYuCCoUvZMuYQnZI7uY9NHzq9gj9Z1aSRNhEREREROSahIaEcGnvIr71Zol03jr98BpH1yr9Q/XNg8BZ7u+hIwC6hJhSAsbU9bVF5u+0NE8L+knDqmXy22flO6FTfDtb+fcG/af9ye8B/Omd1o5E2ERERERE5vlJ6Q1LnYzsnLDZg8yUn25W1h8cHOHhFPjvOX0LYZk9TTLidqMU7WcqFbS48tnupYhS0iYiIiIhIlWA221/vZEOmk7I/NiIWNk1y97EaDbI3whMhJIzTGp3B5ju2cUryKey8e6e7REF8pCfKK122oLpR0CYiIiIiIlVC52R7dG53EUR4x1krbnNvmnBnqmOhZ3pmi6QWrLp5VcBSBCcCBW0iIiIiIlIlXNDqAgAOFUNsCNzS9a++HRpeCOG1jumarumS1ZmCNhERERERqRJuOvUmAA45xd6GNuoA73gNuRVmwWZnqqSToKQs6f9IZ9c9u473bf7pFLSJiIiIiEiV0KZOG1LvSuUcp1JAr6xFvh16LfZsNxxY7vXqxdYjMSqx3H5VnYI2ERERERGpMurG1OX1w/Z2WL5Xzbf650FYDAwvgA7/hHM/qJwbrAQK2kREREREpMqICY/hwk432DuZqzwH0r+2v4eEwymPQDXPCHksFLSJiIiIiEiVcmfPByr7FqoUBW0iIiIiIlK1RARYh9b7iz//PqoIi23xWQAACEhJREFUBW0iIiIiIlK1RNbx3e8+FZJ7Vc69VAEK2kREREREpOoZusf+Xv88aHVD5d5LJQur7BsQERERERHxE50CI6zKvosqQSNtIiIiIiIiVZiCNhERERERkSpMQZuIiIiIiEgVpqBNRERERESkClPQJiIiIiIiUoUpaBMREREREanCFLSJiIiIiIhUYQraREREREREqjAFbSIiIiIiIlWYgjYREREREZEqTEGbiIiIiIhIFaagTUREREREpApT0CYiIiIiIlKFKWgTERERERGpwhS0iYiIiIiIVGEK2kRERERERKowBW0iIiIiIiJVmII2ERERERGRKkxBm4iIiIiISBWmoE1ERERERKQKq1DQZozpb4zZaIzZYowZG+D488aYVc7XJmPMoeN/qyIiIiIiIjVPWHkdjDGhwCSgL5AG/GiMmWdZ1q+uPpZl3e3V/3ag6x9wryIiIiIiIjVORUbaugFbLMvaZllWATATGFJG/yuBGcfj5kRERERERGq6ckfagEbATq/9NKB7oI7GmGZAC+CLIMdHAaOc3RxjzMaK3+qfpi6QUdk3IX84PeeaQc/5xKdnXDPoOdcMes4nPj1jf80q0qkiQZsJ0GYF6TsceM+yrOJABy3LmgJMqciNVRZjzArLsk6v7PuQP5aec82g53zi0zOuGfScawY95xOfnvHvV5HpkWlAE6/9xsDuIH2Ho6mRIiIiIiIix01FgrYfgTbGmBbGmAjswGxe6U7GmJOAJGDp8b1FERERERGRmqvcoM2yrCLgNmARsB5417KsX4wxDxtjBnt1vRKYaVlWsKmT1UWVnr4px42ec82g53zi0zOuGfScawY95xOfnvHvZKp/jCUiIiIiInLiqlBxbREREREREakcCtq8GGP6G2M2GmO2GGPGVvb9SMUZY5oYY740xqw3xvxijLnTaa9tjPnUGLPZ+Z7ktBtjzETnWa8xxpzqda3rnP6bjTHXVdbPJIEZY0KNMT8bYz5y9lsYY5Y5z2uWs/YWY0yks7/FOd7c6xr3O+0bjTEXVM5PIsEYYxKNMe8ZYzY47+mz9F4+8Rhj7nZ+X68zxswwxkTp/Vz9GWNeN8akG2PWebUdt/evMeY0Y8xa55yJxphAWc7lDxbkOT/t/N5eY4yZa4xJ9DoW8H0a7LN3sN8FNZplWfqyp4iGAluBlkAEsBpoX9n3pa8KP78GwKnOdjywCWgPPAWMddrHAk862xcCn2CXtDgTWOa01wa2Od+TnO2kyv759OXzrO8B3gE+cvbfBYY725OBW5ztW4HJzvZwYJaz3d55f0di15XcCoRW9s+lL59n/CZwo7MdASTqvXxifWHXgP0NiHb23wWu1/u5+n8B5wKnAuu82o7b+xdYDpzlnPMJMKCyf+aa+BXkOfcDwpztJ72ec8D3KWV89g72u6Amf2mkzaMbsMWyrG2WZRUAM4EhlXxPUkGWZe2xLGuls52NnTSnEfYzfNPp9iZwsbM9BHjLsv0AJBpjGgAXAJ9alnXQsqxM4FOg/5/4o0gZjDGNgYHAa86+Af4CvOd0Kf2MXc/+PaC3038IdtKkfMuyfgO2YL//pQowxtTC/jAwFcCyrALLsg6h9/KJKAyINsaEATHAHvR+rvYsy/oGOFiq+bi8f51jtSzLWmrZn+bf8rqW/IkCPWfLshZbdgJDgB+wy4RB8PdpwM/e5fzbXmMpaPNoBOz02k9z2qSacabNdAWWAcmWZe0BO7AD6jvdgj1v/X9Qtf0buBcocfbrAIe8/pHwfl7uZ+kcz3L66xlXbS2B/cA0Zxrsa8aYWPRePqFYlrULeAbYgR2sZQE/offziep4vX8bOdul26XquQF7JBSO/TmX9W97jaWgzSPQnGil1qxmjDFxwPvAXZZlHS6ra4A2q4x2qWTGmEFAumVZP3k3B+hqlXNMz7hqC8OecvOKZVldgSPY06mC0XOuhpw1TUOwp0o1BGKBAQG66v18YjvW56rnXQ0YYx4EioD/upoCdNNzPkYK2jzSgCZe+42B3ZV0L/I7GGPCsQO2/1qWNcdp3udMp8D5nu60B3ve+v+g6uoJDDbGbMeeQvEX7JG3RGd6Ffg+L/ezdI4nYE/l0DOu2tKANMuyljn772EHcXovn1j6AL9ZlrXfsqxCYA7QA72fT1TH6/2bhmfKnXe7VBFO0phBwFXOFFY49uecQfDfBTWWgjaPH4E2TraaCOyFzvMq+Z6kgpz5z1OB9ZZlPed1aB7gyjp1HfChV/u1TuaqM4EsZ8rGIqCfMSbJ+UtwP6dNKpllWfdbltXYsqzm2O/PLyzLugr4EhjmdCv9jF3PfpjT33LahzvZ6FoAbbAXtksVYFnWXmCnMeYkp6k38Ct6L59odgBnGmNinN/frues9/OJ6bi8f51j2caYM53/b671upZUMmNMf+A+YLBlWUe9DgV7nwb87O28t4P9Lqi5KjsTSlX6ws5itAk7k82DlX0/+jqmZ3c29tD5GmCV83Uh9rzoz4HNzvfaTn8DTHKe9VrgdK9r3YC9SHYLMLKyfzZ9BXze5+PJHtkS+5f/FmA2EOm0Rzn7W5zjLb3Of9B59htR5rEq9wV0AVY47+cPsLPH6b18gn0BE4ANwDpgOnZmOb2fq/kXMAN7nWIh9kjKX4/n+xc43fl/ZivwEmAq+2euiV9BnvMW7DVqrs9hk736B3yfEuSzd7DfBTX5yzj/YURERERERKQK0vRIERERERGRKkxBm4iIiIiISBWmoE1ERERERKQKU9AmIiIiIiJShSloExERERERqcIUtImIiIiIiFRhCtpERERERESqMAVtIiIiIiIiVdj/Axdg8AbHsAqOAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(15, 10))\n", "plt.plot(loss_adam, c='red', label='Adam')\n", "plt.plot(loss_sgdm, c='blue', label='SGDM')\n", "plt.plot(loss_adamw, c='green', label='AdamW')\n", "plt.plot(loss_sgdmw, c='black', label='SGDW')\n", "plt.plot(loss_adamw_diff, c='orange', label='AdamW_differential')\n", "plt.plot(loss_sgdw_diff, c='gray', label='SGDW_differential')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Section 2: Check for regularization of overfitting" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import time" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def check_overfitting(optimizer, PATH, sz, bs, lr, wds, use_wd_sched=True):\n", " \n", " arch=resnet50\n", " cycle_len=12\n", " cycle_mult=2\n", " num_cycles = 1\n", "\n", " tfms = tfms_from_model(arch, sz) # aug_tfms=transforms_side_on, max_zoom=1.1\n", " data = ImageClassifierData.from_paths(PATH, tfms=tfms, bs=bs)\n", " # Turning off Dropout, adding 3 extra FC layers to help in overfitting.\n", " learn = ConvLearner.pretrained(arch, data, precompute=False, xtra_fc=[1024, 512], ps=[0, 0, 0], opt_fn=optimizer)\n", "\n", " print(\"==== Let's overfit the model. Expectation: training loss should reduce but validation loss should stagnate.\")\n", " learn.unfreeze()\n", " learn.fit(lr, num_cycles, cycle_len=cycle_len, cycle_mult=cycle_mult)\n", " print(\"==== Let's introduce weight regularization. Expectation: training loss and validation loss should reduce. Accuracy should improve.\")\n", " learn.fit(lr, num_cycles, wds=wds, use_wd_sched=use_wd_sched, cycle_len=cycle_len, cycle_mult=cycle_mult)\n", " time.sleep(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**AdamW on Cats & Dogs**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%%time\n", "PATH = \"/home/as/datasets/fastai.dogscats/\"\n", "check_overfitting(Get_Adam(), PATH=PATH, sz=224, bs=96, lr=1e-3, wds=0.25, use_wd_sched=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**AdamW on Cifar10**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%%time\n", "PATH = \"/home/as/datasets/fastai.cifar10/cifar10/\"\n", "check_overfitting(Get_Adam(), PATH=PATH, sz=32, bs=320, lr=1e-3, wds=0.45, use_wd_sched=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Adam on Cifar10**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%%time\n", "PATH = \"/home/as/datasets/fastai.cifar10/cifar10/\"\n", "check_overfitting(Get_Adam(), PATH=PATH, sz=32, bs=320, lr=1e-3, wds=0.45, use_wd_sched=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Section 3: Tests after splitting the various parts of the regularizer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Separate weight regularization" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "dd9841d84dce45f9bb4adbc281a0ab93", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.88647 1.47695 0.51379] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "daaa90ffc903407981431c1828f40048", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.18962 0.96506 0.65635] \n", "[ 1. 1.11035 0.92796 0.67093] \n", "[ 2. 1.07023 0.92718 0.67153] \n", "[ 3. 1.02732 0.89155 0.68552] \n", "[ 4. 0.97336 0.87203 0.69375] \n", "[ 5. 0.96949 0.87093 0.69494] \n", "[ 6. 1.02327 0.89319 0.68591] \n", "[ 7. 0.97858 0.87634 0.69097] \n", "[ 8. 0.97534 0.85293 0.70149] \n", "[ 9. 0.93149 0.84771 0.70268] \n", "[ 10. 0.92056 0.82565 0.7124 ] \n", "[ 11. 0.88824 0.82935 0.70972] \n", "[ 12. 0.87601 0.81957 0.7129 ] \n", "[ 13. 0.86438 0.81952 0.7121 ] \n", "[ 14. 0.94136 0.86304 0.69673] \n", "[ 15. 0.93918 0.83937 0.70506] \n", "[ 16. 0.92601 0.84418 0.70675] \n", "[ 17. 0.89236 0.82786 0.7131 ] \n", "[ 18. 0.89477 0.83408 0.71012] \n", "[ 19. 0.89333 0.81779 0.71607] \n", "[ 20. 0.84657 0.81528 0.71528] \n", "[ 21. 0.84046 0.81346 0.71409] \n", "[ 22. 0.83054 0.811 0.71845] \n", "[ 23. 0.81166 0.80624 0.71925] \n", "[ 24. 0.79839 0.80018 0.71974] \n", "[ 25. 0.79172 0.79752 0.72371] \n", "[ 26. 0.7638 0.80074 0.72292] \n", "[ 27. 0.76813 0.79384 0.72371] \n", "[ 28. 0.77779 0.79411 0.72361] \n", "[ 29. 0.76272 0.79376 0.7246 ] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 17s, sys: 6min 57s, total: 30min 14s\n", "Wall time: 20min 22s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "adamw = Get_Adam()\n", "lr = [1e-5,1e-4,1e-3]\n", "wd = [1e-7,1e-6,1e-5]\n", "loss_adamw1, learn1 = experiment(adamw, PATH, lr, use_wd_sched=True, wds=wd, do_unfreeze=True)\n", "save_list('adamw_loss1.txt', loss_adamw1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With weight normalization" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7b5529ba1de542e7a118cd2e50a7566c", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.88573 1.45961 0.51915] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2234eb7387e444bca00ae06fc7d21712", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.19242 0.96442 0.65804] \n", "[ 1. 1.09521 0.93045 0.66726] \n", "[ 2. 1.09251 0.9283 0.67371] \n", "[ 3. 1.01866 0.88867 0.68571] \n", "[ 4. 0.98586 0.87771 0.69256] \n", "[ 5. 0.96249 0.86489 0.69534] \n", "[ 6. 1.00961 0.89263 0.68571] \n", "[ 7. 0.99576 0.89136 0.68522] \n", "[ 8. 0.96364 0.86692 0.69415] \n", "[ 9. 0.93769 0.85321 0.70139] \n", "[ 10. 0.90633 0.83638 0.70476] \n", "[ 11. 0.88083 0.82757 0.70843] \n", "[ 12. 0.85543 0.8223 0.71171] \n", "[ 13. 0.86451 0.81844 0.7125 ] \n", "[ 14. 0.94469 0.86198 0.69732] \n", "[ 15. 0.91937 0.83931 0.70585] \n", "[ 16. 0.92957 0.84116 0.70228] \n", "[ 17. 0.89314 0.82789 0.71032] \n", "[ 18. 0.88034 0.83583 0.70823] \n", "[ 19. 0.87155 0.81551 0.71458] \n", "[ 20. 0.85164 0.81305 0.71577] \n", "[ 21. 0.84515 0.80522 0.71796] \n", "[ 22. 0.82017 0.80378 0.71944] \n", "[ 23. 0.80766 0.80399 0.72143] \n", "[ 24. 0.78294 0.79544 0.72341] \n", "[ 25. 0.79158 0.79872 0.72193] \n", "[ 26. 0.77365 0.79022 0.72421] \n", "[ 27. 0.76788 0.79124 0.7252 ] \n", "[ 28. 0.76734 0.79056 0.72331] \n", "[ 29. 0.76179 0.78912 0.7249 ] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 18s, sys: 6min 54s, total: 30min 13s\n", "Wall time: 20min 22s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "adamw = Get_Adam()\n", "lr = [1e-5,1e-4,1e-3]\n", "wd = [1e-5,1e-4,1e-3]\n", "loss_adamw2, learn2 = experiment(adamw, PATH, lr, use_wd_sched=True, wds=wd, norm_wds=True, do_unfreeze=True)\n", "save_list('adamw_loss2.txt', loss_adamw2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With custom weight multiplier wds_sched_mult" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2b8aa6b4a25c4e0e832313478115cb0b", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.91495 1.45581 0.51587] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "708d383abf014ca293a4389530dc97a9", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=30), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.18653 0.97802 0.65179] \n", "[ 1. 1.08818 0.92862 0.66667] \n", "[ 2. 1.08374 0.92995 0.67014] \n", "[ 3. 1.02608 0.89471 0.68403] \n", "[ 4. 0.99638 0.86567 0.69564] \n", "[ 5. 0.95797 0.86039 0.69444] \n", "[ 6. 1.01389 0.89751 0.68373] \n", "[ 7. 0.98849 0.87242 0.69206] \n", "[ 8. 0.95054 0.85777 0.69434] \n", "[ 9. 0.92966 0.85104 0.7003 ] \n", "[ 10. 0.91 0.8263 0.71091] \n", "[ 11. 0.87937 0.82215 0.71349] \n", "[ 12. 0.86125 0.81632 0.71528] \n", "[ 13. 0.85973 0.81679 0.71329] \n", "[ 14. 0.96085 0.85626 0.69921] \n", "[ 15. 0.93619 0.83843 0.70179] \n", "[ 16. 0.92995 0.83946 0.70367] \n", "[ 17. 0.90384 0.82234 0.71518] \n", "[ 18. 0.89965 0.81864 0.70972] \n", "[ 19. 0.88279 0.82276 0.70913] \n", "[ 20. 0.87067 0.81281 0.7125 ] \n", "[ 21. 0.84173 0.81346 0.71369] \n", "[ 22. 0.82026 0.8091 0.71677] \n", "[ 23. 0.80922 0.80768 0.71944] \n", "[ 24. 0.79314 0.79963 0.72133] \n", "[ 25. 0.78475 0.79911 0.72202] \n", "[ 26. 0.77612 0.79913 0.72093] \n", "[ 27. 0.76019 0.79675 0.7244 ] \n", "[ 28. 0.74892 0.79658 0.72361] \n", "[ 29. 0.75726 0.79311 0.72411] \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 18s, sys: 6min 55s, total: 30min 14s\n", "Wall time: 20min 22s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "adamw = Get_Adam()\n", "lr = [1e-5,1e-4,1e-3]\n", "wd = [1e-5,1e-4,1e-3]\n", "f = lambda x: np.array(x.layer_opt.lrs) / x.init_lrs\n", "loss_adamw3, learn3 = experiment(adamw, PATH, lr, use_wd_sched=True, wds=wd, norm_wds=True, wds_sched_mult=f, do_unfreeze=True)\n", "save_list('adamw_loss3.txt', loss_adamw3)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(IntProgress(value=0, description='Epoch', max=1), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1.89021 1.49814 0.50179] \n", "\n", "Now with precompute as False\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cf015d7d16bb4fe09017ca00aa69d3bd", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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iIjKC1LwKAMDwnnE6t0Q7Fgqs7ADAIqFEREQGcTCvHAAwrCd7rEJOpEP5U1kklIiIyBgO5pWja7QDSbERejdFM5YJrNhjRUREZCwH8yowrGcchBB6N0Uz1gms1B4rLsRMZExb0osx55n1KKuq07spRNRJDhdUmCpxHbBSYKX2WFXXsceKyIieXHUA+3PLkarmXBCRuZVX16Gksg4DukXr3RRNWSewYo8VkaEdr1Z6qthjRWQNR4urAICBVaiKZI8VkaHVuZWLnvzyGp1bQkSdIbO4EgDQv1uUzi3RlmUCK/ZYERmbd8ZusbNW55YQUWfIKlECK/ZYhaiIMDWwYrkFIsORUqKwQumpqqx16dwaIuoMh/Ir0CXKgS5RDr2boinLBFaRDpZbIDKqYmetrze5spbvUSIr2JVdhlP7dTFVqQXAQoEVe6yIjCu7tMp3u4qBFZHp1bo8SM2rwKg+8Xo3RXMWCqzU5HX2WBEZTo5fYMUeKyLzSy90otbtwajeDKxCVnS4Elg5a/ihTWQ0WSVKYNWnSyQDKyILOJSvLL5stuKggMUCK7tNoKKGNXKIjCantBrR4Xb0TohCVR2T14nMLq2gAkIwsAppQghEO+y8GiYyoOzSSvRNiEJ0ON+jRFbwyg+HISUQpY4mmYllAitA+Q9kYiyR8eSUVqNPQhSiHHyPEllBdZ0bJpsM6GOpwCo63I4qVl4nMpzs0ir0YY8VkWVEOuy4dvxAvZvRISwVWEVyKJDIcKpq3Sh21qJf1yhEhYfxPUpkcser61Be7UKfBHMtZeNlqcAqmkOBRIbjrWHVJyFSfY8yeZ3IzFLzzDsjELBYYBUTEQYnP7SJDMVbw6pvQrQyFFjnhpRS51YRUUdJzSsHAAzrycAq5HWJcqCskuUWiIzEv8cqKtwOKblYOpGZ7Tt2HA67QP+u5lp82ctSgVW3mHAUOWv1bgYR+ckprYJNAL3iIxGtrunJPCsi83pz4xHUuSVsNnNOC7RcYFVWVQeXm1fDREaRXVKFXvGRCLPbEB0eBgCo5JA9kSm5Pcow/9mDuuncko5jucAKAEqrOBxIZBTeUgtAfbFATjIhMqcDuUp+1RVn9de5JR3HUoFV12glsCrhcCCRYeSUVaFvVyWw8q7pyaFAInNKzVcCq1P6dtG5JR3HUoGVt8eqmIEVkSG4PRLH1KrrQH2PFQMrInM6mFeOMJtAcvcYvZvSYSwVWHl7rBhYERlDQXkNXB6JvgneHislx4oLMROZ08G8CiQnxiA8zLzhh3n/sgDiIpUP7fIafmgTGUF2aSUA+AVW7LEiMrOdWaU4pU+83s3oUJYKrGIjlMCqopqBFZERZJdWA0D9UCDLLRCZVmFFDfKO16BLlEPvpnQoSwVWMWpg5WSPFZEhZJfUFwcF6nusOCuQyHy8S9mcNiBB55Z0LEsFVuFhNoTbbahgjRwiQ8gprUJ8ZBjiIpUrWO/FD3usiMznh9QCAMD4wd11bknHslRgBQAxEXb2WBEZRI5fDSsAiAizQQhwIWYiE1q+IQOAssqCmYXp3YDOFhMRBmcNr4aJjCC7tAr9utYHVkIIRDvs7LEiMqEecRGIDg+DEOZcysbLcj1WXaO5XiCREUgpkV1ahd5dohpsjwoPQ2UdAysiM6lxuZFTVm36YUAgiMBKCPG6ECJfCLG7lf3OEkK4hRCXatc87SVEO3CcS9oQ6a60sg7l1S4M7N5whfvocDuT14lMJi3fiVqXx/SJ60BwPVbLAcxpaQchhB3A4wBWadCmDhXlsONwQYXezSCyvJwy74zAhj1W0eF2LsJMZDL7c48DAE7qFadzSzpeq4GVlHI9gOJWdrsVwEcA8rVoVEdavTcPx6tdvhW2iUgfe3KUD9rGgVVUOHOsiMxmf245wu02JCeadykbr3bnWAkh+gK4GMCyIPZdIIRIEUKkFBQUtPelT4h3vUAWCSXSV0F5DQBgQLemQ4EMrIjMZXtmCU7uGw+H3fyp3Vr8hc8AuFtK2eonoZTyZSnlWCnl2KSkJA1euu0WzhkJACivYZ4VkZ5yy6oRHxnmu9jxigkPY0kUIhNxuT3YmlGCkb3MvZSNlxblFsYCeF+dPpkIYJ4QwiWl/FSD59ZcrLpeYAU/uIl0lVVSiX5do5tsj40M4/uTyEQ2pyvZRMN6xOrcks7R7sBKSjnIe1sIsRzAl0YNqgAua0NkFEeKKjGyd9NE1tgIBlZEZvLsmlQAwOxTeuncks7RamAlhHgPwFQAiUKILAD3A3AAgJSy1bwqo/EuxFzOHCsi3UgpkXu8GueN7NHksdgIZShQSmn6QoJEVhCvLrrct9FEFbNqNbCSUl4Z7JNJKa9vV2s6QUK08h9cUskioUR6qahxobLWjZ7xEU0ei4kIQ51bosblQaTDrkPriEhLOaVVOHe4PnnVejB/en4jcd4cK/ZYEekmp7QaANAzwJphsRyuJzINj0ficGGFZfKrACsGVhFKj1UF1wsk0k1qfjkAYGiAD9v6wIrvUaJQl11aheo6T8D3ullZLrCKdNhgE7waJtJTZnElAGBg96bFAr0TTFgShSj0Hcxr/iLKrCwXWAkhEMNZR0S6OlpcicTYcF/vlD/vcD17rIhC36o9uQCA4RZYysbLcoEVAMRHciFmIj1lFleif7emNayA+h6rCvZYEYW8/6ZkAVC+d63CkoFV99hwFHNWIJFuMosrmyxl4xUbocwEZB4kUWjzqGvyXjCmj84t6VyWDKy6RoejxMnAikgPdW4PckqrWwislCtb5kEShbajJUou5cQh3XVuSeeyZGCVGBuBvOM1ejeDyJJySqvg9sgWhgLVHiuWRCEKaT9nlgAAhve0TuI6YNHAqluMA6VV7LEi0oN3RmBzPVYx4UqO1Zp9eZ3WJiLS3sc/ZwMAhiQxsDK9LlEOVNd5UONiDgdRZ2stsLLZlGVsat2eTmsTEXWMuMgwJESH692MTmXJwCo8TPmz88o4HEjU2TKLKxFut6FXgKrrXgnRDmzPLO3EVhGRlmpdHvyQWohuMdYKqgCLBlb7jykFy55cfUDnlhBZT2ZRJfp1i/L1TAVSWqmUWpBSdlaziEhDe3LKAADXTkjWtyE6sGRgNevkngAA0fznOhF1kJZKLXj9/pxBAIDKWg7XE4WinVlKYDVvdC+dW9L5LBlYTR6mrLJ9cp94nVtCZC1SSmQWtR5YeZNdS1nIlygkpRc6ERNub3HI36wsGVjFhNsRbreh2MkPbaLOVFZVh/IaV6uBVVS4UnLBu84YEYUOKSWWb8iAs9YNYcGhIUsGVkIIdI1xsEgoUSfzzghsroaVl13Nv3pq9cEObxMRaetXL/wEwFoLL/uzZGAFKNXXuawNUedqrdSC1/zRvQEAo/t16fA2EZG2flHzqz7640SdW6IPywZW3WLCUcweK6JOday0GgDQJyGqxf2EEAgPs2HNXhYJJQo1sRFhGNg9Gl2irbPwsj/LBlaJsREorGAdK6LOdKysGlEOO+Ijw1rdt9blQX4536NEoaTYWYuKGhcuH9tf76boxrKBVVJcBAr4oU3UqdILK5CcGBNUQuspfZVZu6xlRRQ69uYcBwAkd4/RuSX6sWxglRgbgcpaN5w1XOiVqLOkFzoxOCm4D9wLx/QBAFTwPUoUMp77NhUAcNagrjq3RD+WDayS4iIAgMOBRJ2k1uXB0ZIqDE4MLrBKjFXeo0UVzIUkChVbMooBAEnq+9eKLB9YLf5sj84tIbKGzOJKuD0y6B6r7rG8+CEKJS514fST+8Rbsn6Vl3UDK/VDe/3BAp1bQmQNhwsqAACDEoOrbZMYqyzeysCKKDSkFTgBADdMGqRzS/Rl2cBqZK84vZtAZCnbMksAAIPaOBRYyKFAopBw8zvbAACj+1q7/pxlAyubTWDKcGXNwMpaJscSdbSX1h0GAHSJCq62TbcY9lgRhRJvj9XwntasuO5l2cAKAP5PrbORklGic0uIzM3jaXvJBIfdhu4x4cgtq+6AFhGRlkrVlUzmntLL0vlVgMUDq9MGJAAAjhQ5dW4JkbkdO64ER5OGdm/T70U67Nh2hBc+REb35c5jAIDfTrZ2fhVg8cCqT5dIhNttyCqt0rspRKaWo77HFkwZ0qbfyy6tQmp+Bd74Kb0jmkVEGvn7p7sBAGP6JejcEv1ZOrDyrkf20rrDOJRfrndziEzLG1j16RJ5Qr+/R63mTETG89bGDN/t8DBLhxUALB5YAfVVne/4306dW0JkXkeKKgEAfbu2vPhyY9sXzwQAjOodr3mbiEgb96n1IN+5cZzOLTEGywdWXjuOlurdBCLT2phWhN5dIhEd3vriy/68Mwgf+nIvquvcHdE0ItJAfGQYJg1N1LsZhmD5wOrO2SP0bgKR6WUWVyI+MrgyC/5stvrZRTuzyrRsEhFpwDtr99Iz++vcEuOwfGB1y3lDMWGwMlNpL/M4iDTncnuQU1aFCUPaNiPQq586fJhdWqlls4hIA5e8uAEAcO6IJJ1bYhyWD6wAYPpJPQDUV4YmIu3syi6DlMr6YSdizV/PhRD1eVpEZAzVdW5kqxNTpgzjMKAXAyvAdyX9yc9ZOreEyHwe+nIvAGDECS4jFemwQ0rgmTWpWjaLiNpp5OKvAQBTRyRZviiov1YDKyHE60KIfCHE7mYev1oIsVP92SCEGKN9MztWv4RoAMDPmUxgJ9Jany7KUF571g+z8TObyFC+P5Dvu/3oxaN1bInxBNNjtRzAnBYeTwdwrpTyVABLALysQbs6VZfo+qTaWpdHx5YQmU9BRQ3OSu7ariva22cMB1C/bAYR6evGN1MAAPNP7Y0+CW0ro2J2rQZWUsr1AIpbeHyDlNKbnLQJQD+N2qaL/blMYO9In/+Sg0Wf7NK7GdRJ6twe7M4uw0ntrEM1sLvSq5yaX6FFs4ioHaSUcKnrfz5/5ek6t8Z4tM6x+h2Ar5p7UAixQAiRIoRIKSgo0Pil28e7IPPVr27WuSXmdtt72/Hu5kzUudkzaAW7s8tQWevGuEEnNiPQa0hSLABg/UFjfW4QWZF/2gxzq5rSLLASQpwHJbC6u7l9pJQvSynHSinHJiUZa2rmonknAQDKq106t8QavLVPyNy8H8BnDerarufppS6Fs2pPbrvbRETtszVDGcT64k+TdW6JMWkSWAkhTgXwKoCLpJRFWjxnZ4uNrK8I7VG7OElbLr9eqnP+sVbHllBn+XZfHgCgR9yJrRHolRgbgZhwOyYPNdYFGZEVLf1qP4ATn+lrdu0OrIQQAwB8DOAaKeXB9jdJH3ab8NXZ4YKvHSOzuGEdosKKGp1aQp1lQ1oR4iLatoxNc5y1brz+U7omz0VEJ+ZAbrnvNhdcDiyYcgvvAdgIYIQQIksI8TshxB+FEH9Ud7kPQHcA/xZC7BBCpHRgezvUjJN6AgD++J9tOrfEnL7br0zP9U6d93+DkvmUV9cBAH4zYaCmz7vvGC98iPSyRR0G/Mclp+rcEuMKZlbglVLK3lJKh5Syn5TyNSnlMinlMvXxG6WUXaWUp6k/Yzu+2R1jwZTBAIDs0irNyi58uj0byQtX4D+bjmjyfKHsvS2ZAICPbpoIQJkosCW92QmnFOJ2ZysB0LhB3TR93hInSy4Q6SUtvwIRYTZcfEZfvZtiWOzH8xPjN2Qx/O/NTm5sk8e/Vsai//7pbny6PVuT5wxFLrcHaQVOAMApfoUiL39po69ng8zlylc2AQBO7ZegyfM9calyhXzVq5tRzOCKSBfLN2RgSFIsHHaGD83hkWnkjRvO8t3WYuba0B6xvtvvbs5s9/OFKu96Ut1jwuGw2xrk3dz4ZgoO5pXDzUkDptQtJlyT5/nV6fVXyNe/sUWT5ySi4KUXKhfH1S63zi0xNgZWjZw3ogcev0Qpz7/jaPsWZV67Px8/pBb67nvHpndmlSKrxFoLymaXKIHVv9RicgvnjfQ9tjm9GLOeXo8hi1YieeEK7Moq06WNpJ3jai/kJWdoVy/Y/wp5J88Rok5314e/AAAeuOBknVtibAysAvD2Mv3xPz83KBHQVt4K4z3iInzbkheuwIXP/4TJj1ur3EDucaX3r6daj+jqcQOR/ti8gPs+9tW+TmsXdYzD6rDvrJN7avq8W+6dDgCxV/L6AAAgAElEQVSICLNxlQSiTvTtvjxszVA6G04foM3wvlkxsArAf/mNofeeWK6VlBLH1KHETfdMx8c3T9SkbaHqr/9VrnR6xdfXMxJC4IIxfZrsyym8oe/571IBAIMSYzR93h5xkbjirP6ocXkw55kfGFwRdZIDefWzuOMiHS3sSfwGCyA6PAwvXXOm7/6J1FvyJmoDgM0mMJKF1AA0nCAAKEOD918wCnfOHoGL1RwaZw2r34e6NfuU0hr9u0Zr/tz9u9U/55xnfsAXv+Ro/hpE1FBuWTXiIsOQsXS+3k0xPAZWzZh9ci8MU4cEs9T8oLbwXkk/e8VpAJRgbf+SOQ32sUoA4f07m1tS6oZJg3DLeUPx9P8px2prRgnOe/L7Tmodac1/5YKocLvmz58Y2zAZ/tb3tkNKTnwg6iif7cjGWxuPcMm3IDGwasFStQDaidTNefUHpUL03FN6+7ZFOuzYcd9MzFbzTlbsOqZBK41vV7aSaHzHrBFB/056oZM9ESHKeyHywAWjOuT5z0pW6mKdMyzRt827xAYRae/P7+8AAEwf2UPnloQGBlYtSIpVks6XrNjbpt97f0smdhxVFp9tnC+UEB3uCzDsFlkV/KlvlJWO+iZEtbrv9sUzfbdvfW97h7WJOs6mw8pyoacNaN/Cy80ZnBSLjKXz8fbvxvm2vbT+cIe8FpHVVdXWl1Z47fqzWtiTvBhYtaC7OuRwuMDZpoWZF368q8XH+6l5J96Zcmbnra5+0WlNE9Ub6xoTjgMP1w+Zsnho6Lnro50AgOE9Y1vZs/38r6C9AR0RaedwYQUA4Dm1VA61joFVC/wTrQcvWhl0Hoe3IOLhRwOXE4gKtyM8zIbvD+T7tp39yBokL1zRjtYak//SQCLIHrqIsPq8nI+2ZWneJuo4/u+R6HBtFl9uif8V9LWvBV801OX2IKe07bmTRFYz/7kfAQADumk/EcWsGFi1Yu4pvXy3Sytb7z05kFvuW27DZms+kOgWHY7qOo/6vLXIL1dmHu7MKm1Pcw0no0iZHektuhqsv84cDgB44Iu2DcOSvrz5VZeeqV1h0NbsfnA2AKDW7cFvXt0cVMD08Ip9mLj0O5RWcmkcoub4X+wHk8pBCgZWrXj04vqAYMHbKc3u98Dne5C8cAVmP7M+qOc9d3gSdmWXQUqJ7w8U+Lav3pN34o01oNQ8pRvZf33AYNw2fRgApRAkhY79uUqtmyvPHtBprxnr17P846FCTFz6HZIXrsDqPblYf7AAR4ubrnLwzV7lfbZ6Tx5u+s825FlkWJ4oWCnqSiFeSX6Frqll/NZqRdeYcLxw1RkAlDIAmUWVvpwhL49HYvmGjAbbvrx1covP+0HKUQDAoHtW4vYPdvi2P7/2EADgYF45kheuwJR/hHaF9tT8cggBDEk6sXybGpcHde2ofk+d64BaZmSEAeq2LXh7G659fQvOCfAeqlBLgNz10U58tTsXt79f/x7MKqnExjTma5G1XbpsIwBlAtame6br3JrQwsAqCPNG1w8HTnliLS5/aWODx//+2e4mv9NaD80iv7XyGvtmbx5mPa30fGUWVyKtoKItzTWUZ9akQkql1MSJev47JdisrnPjnc1H2jSRgDrP098cxJOrlRmgsREdn1/lb/+SOUiIDq4adHqhE2VVDYf1N/olvk9+fC2ufGVTg/xAIqva9cAs9OoS2fqO5MPAKghCCLx67dgG25IXrvD9vLs5E4CSF/T17ecEVZl2wZQhzT72+7caDjlO/+e6E2i1/qrr2rcCurfX79lvU5FVUoln1qTi3k924/rlW+FmcGUon+3IxrPfpur2+pEOO7YvnonUR+Y2KcTbWHPFZ386VNjg/oHc8oD7EZndVnUY8Ozkbg0mE1FwGFgFaVSf+Fb3uW36MIzs1fp+gdw+Y9gJ/Z6RrT+o5I4t+dUpJ/T7/ssATX58rS8PZv3BAgxZtBIb0gqxN6d+rbjd2WXIZ66MLlbsrC92678cVGcSQsBhtyHSYcc9cxv2CBepy1I1ntl75dn94bArk0yufnUzbvrPNt9jFzz/I655bTM+3JaF5IUr8PL6tICvK6VkLyqZRmFFDS5ThwFvmtp8BwA1j4FVkPokRGHJRSc3qPbsb8VtLedUBZL+2Dz8vHgmMpbOx+0zhiPt0XkNln3599Vn+G4HSsA1uky1zf4zK9sizN7w9Gw8nHjVK5sx77kf4HJ74PFInP+vH3H2o9822Me/uB11DCklVqvJ4L/cPwuzTz6x/28tzWl0zt37yW5IKTHonpW+bW/+9mw89utT8eZvz/Zt+2p3boPf+yG1EHf8T1lA/NGVTau7bz5chEH3rMTgRSvhcnuwIa2QMw0ppP3FL+e3ue87ahkDqza4ZkIy3v7dOOx5cLavHAAAzBrVEyf3adusN0C5wvbWvAIAu00g9eG56BEXgS9vnYx5o3v7lr95a2NGe5vf6f6z6Qh6xEUgMfbEZ5OM6Vd/XPfmlAXc588f7EC23xT7GpcSTL3xUzpOuu9rJC9cgd8u34rnvk3Fip3HOIyoMe+SRQDQJcoYq94P7B6DXQ/Mwra/zwAAfL0nt0FQ9cJVZ+Dc4UkAgPGDugf9vMkLV+DhL5USID8dKsT/vbzJ99jv3kzBVa9sxmkPfeNLjm+PxZ/uxlWvbGr3kDpRsHZnl+GH1Poh8cYXtxQcHrUTEBMRhlvOG+q7v+w32g19hNlt2HLvDF/yu7fa7Svq2oOhoqrWjYyiSnSNDm995xZ89qf6nsBfspQv8E9vmdRgnxU7j+FoSX2P3s9HSvGHt1PwoF8NrO/25+Opbw7ilnd/xpBFK/GbVzcDUHpb1u7PZ7DVDv9UE9b/+4cJOrekobhIB7o3E9T7T0ix2QRumJTc4PH9S+Zg1e1TAv7uqz+m45rXNuNq9RzyWnewvmzKKfevwqUvbgi6rbUuD1Lz6nO6alxuvL3pCDakFeGldS0v19OWUhFuj+QsW2rWze/8DEAprdBariI1j4HVCbLbBNb89Vws+80ZLRYCbS//xMEPtmZ22OtoqbrOjZPu+xoAMG9071b2bt1t04Y2uD86wIzLq16p/5K78pVNWNVKPbAf1UTlhR/twg3Lt2LpV/va3U4r2p1d5gsozhzYMWsDtlfjmloHHp7TZBWAxfNH4e45Sl7Wxaf3RaTDjhG94rD+zvMCPqf/VX1zUo6UILes+aCnzu2BlBI3vLEFU/6xFjOfXo/dau/fgrfqc71ySquaXfXhi19yMO7Rb3Hre9t9eV7FzlokL1zRIO8NUC4ihixaiWH3ftVq28maBifFAAC23jujXTO5ra5z50SbzNAesRjao+PXQztvRBLWHijA3R/twvSTeqJ7THjQy8Po4cLnf/Td/v2UQe1+vr/OGoEJQxJx5SubkBDtgN0msOXe6SirrMPMp4MryBrI2gP5vnpidlv9NYaUEsfKqtGHlYZb9dCX9b2C9g68wGiPx349GikZxUjNr8Bdc0YEnOVkswncNHUIrho3AFF+XygJMcrQ5qxRPdE9Nhz7c8uxPbN+dYQ+XSLxw93TMGTRyibPCQAzn16HXQ/MbrDt8mUbsaVR8UWv8//1I7rHhKPIWZ+n9UHKUXy8PQupjyhLZG1MK8KVr2xCdLgdlWoO4Re/5OCLX3KQsXQ+fkhVAt1b3v0Z5wyfBQA49YHVDV5ne2YJTu+gRbIpNF3y4gZsO1KCcYO66d2UkMceqxBwwZj6xYvHPrymQa4IAOw4WorDBqp1dVCttr5gymDN1oubMKQ79jw4G9sXzwQA9IiLxLCecUh/LPB6jABw5+wROPTIXLx+fX2pjDtm1efG3fDGVt/tZevSfFf8q/bkYeLS77By1zHsO1Y/6/DnzBLszi6DxyOxP/e4b9ajVRU7a33Fco0+bPDNX89FxtL5uHnq0Bb36xLlQLhftf/4SAe++NNkPHvF6Xjs16fik5sn4bXrlPMpNiIM6+86D3abwKxRPX2/87DfLNjyapdv6K3W5cGCt1KaDaq8/IMqrzq3hJQSn+3IxpWvKHldlQEmZiQvXIEXv6+fvXjqA6ubBFUAcPG/N2DlrmNNtje279hx3PG/X+Di8KFpOGtcOFpciRJnLVbtUSZrrN6Ti21HSgAAPeJZs6q9RLALC2tt7NixMiWl+SViqF52aRUmLf2uwbYv/jQZu7LLsOiTXb5tGxZOM0Qvi3d9qWDqeWmhosaFU+5fhdeuG4s7P9yJYmctXrl2LGb6fdm9vTEDiz/bg30PzUF2aRVmPNW0NtifzhuKO2aPwH2f7cZbG4/4tj952RicNyIJZz68BoDSU3koXwke754z0pJTkssq6zDmIeULe9aonni5UZ03q3F7lGG2qSOSsPyGs5ssqJ4Q7QhqrVF/L1x1Bm5592ctmxlQ+mPzmu0Bn/nUOqSq5/r+JXOwJb0Y5wxLNHSPeSBllXW4ZNkGHMqvwAMXjML1k9rfkx5qKmpcOFLk9C2q7LVh4TT8dKgQd364EwCw76E5iArnMGAgQohtUspWP+wYWIWIDYcKcVWjZNlAOiuYaclpD63G7FG98Pilp3b6a+eWVeP9rZm4bdqwJrlvUkrfF8KFz/+InVkNZxk+eOHJmDGqJ371wk8oUBfFDkbG0vm+wG3LvdPRI671K76X16dhWI84nDeyR9CvYySD71kBb77/TwuncYFWKLWy4iKVHq8t6cVNVmjwN7xnrK9nN5DXrhuL6Sf1xKSl3zWY8RrIonkjsXpPHlLUHoe2+uimibjkxQ3o1zUKP949DYCS/3Uwr7zJl7CX/+eMlBJpBRUY2kOpO+cNKqPD7Xjzt2djaFIsusa0bxJLe51839dw+vXwGeFzsrPNeWa9by1Pf7dNG4rn1NUtUh+ZCwdnAjYr2MCKRzBETByaiA8WjMd7vx+vd1NaVFhRg9LKOgzXaa24Xl0icfuM4QEnFPhfZS+5qH64xjuMdf/nezBp6XdtCqq8Fn+2BwBw9iPf4qV1gQtJei39aj8eXbkfNyzfGvDxZ9YcxITHvm02YVlvP6YW+oKqm6cOYVCl6h4b4RtGPHtQN/xy/ywE6tjpEReBx349Gjvum+nbdvnYfnjj+rOw84FZSH1kLqafpPS2rrtzKt65cVyT58hYOh/7l8xB6iNzsWDKEPxpWtMhzlf8ehG9i8n/I8DFziXq7MWskioUVdRgzIOrMezer5oNqhp7Zk0qZjy1Hi+vT8PXu+uHFytr3bhs2UacvuQbXPT8jwGHEytqXJj25Pe+VSxySqvgcnt8+76w9hCSF67Aaz+mI3nhigYzL4NV4qxtEFRZweo9uchpFJAHCqoA+IIqAAyqNMLk9RAybrBSb8d/WOHuOSMxNrmrr1Luip3HsOlwEWaO6olrX9+CN64/C11jwjGwW3SHXzW6PdKXkzS8Z8cn9beH/0rtbZn9MuOkHlizLx+Akrjs8khkFDob7PPYV/vxh3OV4cFD+RWodXl8lftzy6qxzC/w2ny4CCN7x/vqP417dA3yjiuB3aB7Vhryyvo3r9X3nN41p/k1L62uS5QD6Y/Nb1CY9MtbJzdYR/TjmydicGIMEpopSxJmt2HS0ET89w8T8OmObLy7ORPvqoGW/3k7eWgi/j7/JIwf3B3n/+tH9O4SiZmjejY4f64ap8yOnDe6N44WV2Lusz80eT3vcHdr1uzNQ1JcBLrFhCPliJIzFqiAqtcvWWU4WlKFQYnKrLPqOjeOlVVjQ1ohDvu9fyb6pTw8cempeGLVAQDAEnWSxHWvb2nxPfHZjmz8+f0deH/BePw35Si+P1CA4gA5a1/uzMH5pyq5q8kLV2BYj1h889dzg/rbjeB4dR3iI5vWjFu1Jxd/eLt+Runnf5qEU/p0wa3vb2+wn//nGGmPQ4EhqnEe07R/fo/DBc6WfgU7H5gV8M2ohcZVrTfdM93wC3eu3HUME4d0R0J0eJOcGK9Xrh2LZ9YcxB516Zz0x+bhN69txsl9uuDl9S3XFzr86DwM9pstlhQX0Wxv2Hd/OxeRDnuDLxbAeEMWdW6Pb7q+VXNVToS3Tlp7Zk5KKVFd59Es/6Xxe7Y5fROicP3EZDz+9X5MP6lHk1Im4XYbaoNIbp8/ujdeUFeT+MsHO/DJ9uwTavdHN00MWNrjeHVdwER9f1OGJ/kmnQzsHo3JQxPxjrrWa0fmFtW43Hhp3WH0jI/A3R/twra/z2i2xlpr/vB2ClbtycOlZ/bDk5eN8W3fk1PWai/jyF5xePKyMb7g3vu5t/GeaegRF2nYmb1GwaFAk9t67wxsvXeG7/75QdSLeqWVQKA9Xlhb350cbrehZ/yJV1vvLPNG9/b1FKy7cyoAoHeXSGQsnY/PbpmEJb86BTNH9fQNxUwc0h1CCLxz43gsmncSZpzUMD/qrjkjGtz/37ajDe63NMQ47Z/rmgRVAAy39qF/DSQGVcGz20S7v7SEEJp+8Qsh8KLfslm9mpkNtuav5+L3Uwbj0KPz8OwVpzd5PFBQFeiCYMWuY9hxVClV8emOtgVVD110Mn51mtLD9NjKfXh7Y4bvMSmVnvK5zzTtgfN38OG5uOSMvr77R4oqfUEVgCa5bNV17gaFg09a/DWWftV8r1wgLrVW2Td78/DUNwdx90fKZKNgewa9yqvr8O7mTLy1McMX2H64LatBuoB/UNX4s8nr69unNOgx3b9kDvYvmYPeXaIYVGmIgVWISoqLaDCc9ccgZqb967tDvuVetJRZVIkn1erbgPJBG2qzhgZ2j0HG0vnYeM90AMCY/gm4ZvxAAEBCdDgyls7Hu43y216+puGFyw0TB+Etv3XnvB+igXgDuUBunFwfsNywfCucNS6UVtbivs92I3nhCt+Cwp3Nv1fvgQtG6dIG0tbc0b3x4IUnY8ui6cj1C+Kfu/J0PHHpqfjLjOENgrnWhs2vmzCwSVDlf/9XL/yEtIIKNB4o+fHu83y9L3GRDTNUlvzqFFw7IRnPqEFdypESLP5sD5IXrkBKRjEG3bMSc5/9IWCS/zXjB+LuOSNx8OG5CA+z4aLT+jbZx2tDmlL09YlV+3HNa5sxcvHX+Nt/lXXzvt6di6o6d4Nh/JZsSS/GtH9+j6H3foVB96zE8355TF6BhigbW3+wAF/vzsXoB1Zj0Se7cJ+ay+n1xk8ZAJScKq8PFozHq9ed1fTvWzitybZIh52FQDsAhwJN5NPt2bhdXUDzztkj8NtJg3wV0P1pPbz0z9UH8C+/D47BiTH47o6pmr6GUd3z8S6k5pXjw5sm+rZtO1KMS15sfkaY9/iXVtbieJULU55Y2+Tx7/bn4bfLA78/5p/aGyt2HsOXt05Gj/iIoGYhtsfbm45g+5ESfOw3dGO0IUpqP2/g/LeZw3Hr9GHN7rfuYAGue31Lg223nDcEV5w1AP27Rfu21bo88EiJSIe9QVA+a1RP36LdgHIh8ffzlUDd5fagqs6NI0WVyChyYtyg7g0uIJsbsvd36JG5cNa40SU6cNrDta9vCViD7o5Zw3H9pEE45f5VDbanPzavwZDprdOGIr3QiS93HsN1EwZiwpBE5B2vxnUTkwEA+3OPY04rvWdeV40b4JtY0Nj5//oBu7OPB3zMP63gH5eeirvUUglA/Xtz2bo0LP1qP343eRAWn88LIS2w3IJFfbQtCwO7R2NsslI998udOfh0ezYuOq0vbn1PSWDc+9BsRDnsbe5V8naNx0Q0vKJ8/cd0PPTlXtw8dQguPK0PRvSMC7keK63d/eFOX1X3N64/C2cM7IojRUoO3Kn9EhrsO+bB1SirUiYjvHvjOEwcqqwof+mLG4KaQn/+qb3x/FVntLpfc6SUGLxoJe6aHbgmV+MvMwZV5lRWVYfVe3Jx2dj+Le5XVFGDMx9egxevPgPvbsnED6mFWHvHVF9ieiDLf0rHA35rd/rbeu+MBsFTS258c2urSdetnZ/VdW58viMHd32kBCOrbp+C2c8oKzgMSYpBWiu5qs3ZvGg6esZHthj8nTmwq68Qp9f+JXPgsNt8Q3HN/Y0Ou0CPuEjcNWcExiZ3a1LbEAD+87txmDxM+fyoqnXj0ZX7cPuMYSecz0UNMbCiJvzf8EOSYvDt36Y22cfjkb6E6wcvPNl3Feb/+41rnTy1+gCeX3sIBx+ey9XQVW6PxD9WKVeLrfUoeRPCxw/uhvcX1C9k/NWuY7jpneAKRO64bybq3BLhYTbfDMPvD+Tj+je2YtXtUzCihfIX/0s56isO2PhLKf94Nc5+9Fvf/T0Pzm4SWJN1eTwSzloX4oKYFNO4F3bfQ3Ow99jxNq0xWVnrQlFFLXp3icRQv3y/W6cNxb++O4Slvx6NKxqtDdmc3dll+GZvHv4yc3hQPWHBePt3Z+Oa1+p78yLCbKhxKTloz15xGi46rW+zkwY2L5qObjHhza7l2Pi9Oe/ZH7DXb2WIlgq9kjaYvE4tanxV9uaGDDy7JrXBLLb7P1fG89/ZfASv/Zju2/7EqgMor66vIp1dWo1e8ZEMqvzYbQL3zD0pqGE6h92GnxfPxPIbzm6wfYZf5fjW3PfZHpz1yBrMelqpKH8ovxzXq0v2eK/GA5FS+oIqADhzyTe+PLytGcUNgqq1d0xlUEUN2GwiqKAKAKaNbHg+R4Xb27xwd3R4GPp3i0aY+p4BgH9ffQb+NmsEMpbODzqoAoBT+nbBX2YOD/iYt/foirMa9t5dPrZfi8/pH1Tte2hOg7zMKcOSACiTBpb4LXvkNe7RbxuUSogIs2HnA7Nw+4xhAWuZfXxzffrBDZOSGVQZCHusLCS7tArvbc7E8+oMvtumDcUfpw7Bn9/fgW/25rXy24FNHZGE7w8UYFBiDNZaJK+qMx0rq8KOzFJsP1qKl9cfxuShifjxUCGunTAQ984/CSXOOox/7NsGvzNxSHdsSCsK+Hx7HpyNTYeLUFRRi8vP6o+jxZU45x9rm+y39NejsfDj+uR7LnNBWiirqsO6gwWYNaqnoZKma1xuzHp6PY4UVQKo7x1y1rhwsppz5V1hwNu7tfOBWc2Wd3j04tG4atwA7M05jnnP/dDgOb0CvfemjeyB7/bn4+n/G4N5o3sHXDDc39oD+fhiRw6euGwMZ/V1Ag4FUrOaS970d8VZ/fH+1qMt7tMYc286jrPGhTc3ZuD35wyGs8aFLlEO3xXqiQ5jpD82D1szSnD5Sxvxx3OHNDvj6cnLxuDSM1u+UicKdTmlVb6SJ/6fZVkllTiQW+6rhj/qvq9RXefG4cfm+957T142Bnf87xcADYvAejwSF//7J9x3wSicObBbk9f8bn8elq077FvM3IufpcakWWAlhHgdwPkA8qWUTfovhfLp/iyAeQAqAVwvpWw1MYSBlX6q69wYubjpbEEv79TktnxhtzaTiDpOS/9PX/35nIAVtgHgn5eNwd/UL4Nv/jIFbimbzGaaf2pvvNCOxHiiULI/9zjiIx0tLmbvrHEBAGIiwuBye/BTWhHOHZ7UrtflBJHQoGWO1XIAc1p4fC6AYerPAgAvBtNA0k+gLviVt52D7YtnYt2dU33rnQXy3JVKLZnti2c2ePMHWquMOod3/bf//XEC7phVnzPy6MWjcVLveKQ/Ng/TRvZA45ECb1AFAH0SojCyVzwyls7HfX5Ts58LUBCSyKxG9opvMagClIDKm2sYZre1O6gClF6urmp5iNt4gRryghoKFEIkA/iymR6rlwB8L6V8T71/AMBUKeWxxvv6Y4+VvtYfLMC1ai2a7++YiuQAU6X/u/UoyqrqcM2EgYhQgy0mSIaG6jp3wAB6zd48/JBagDc3HmmwvfEVcnWdGxU1LiRymjYREYDOnRXYF4B/Mk6Wui1QoxYIIVKEECkFBW1fpZy0M2V4Epb95gwM7B6NAX5F/fxdflZ//H7KYESqNa8YVIWO5hKDZ4zqiQcvqr8+arxQr//vM6giImo7LQKrQN+2AbvBpJQvSynHSinHJiW1v/uU2mfOKb2x7s7zYONsEss5uU88AODla87UuSVEROaiRVGaLAD+xT76AcjR4HmJqIN8dsskOGvc7IUkItKYFj1WnwO4VijGAyhrLb+KiPQVZrc1u5YaERGduFZ7rIQQ7wGYCiBRCJEF4H4ADgCQUi4DsBJKqYVDUMot3NBRjSUiIiIyslYDKynlla08LgHcolmLiIiIiEIUF3cjIiIi0ggDKyIiIiKNMLAiIiIi0ggDKyIiIiKNMLAiIiIi0ggDKyIiIiKNMLAiIiIi0ggDKyIiIiKNCKW+pw4vLEQBgCOd8FKJAAo74XXMjMew/XgM24/HsP14DNuPx7D9QvUYDpRSJrW2k26BVWcRQqRIKcfq3Y5QxmPYfjyG7cdj2H48hu3HY9h+Zj+GHAokIiIi0ggDKyIiIiKNWCGwelnvBpgAj2H78Ri2H49h+/EYth+PYfuZ+hiaPseKiIiIqLNYoceKiIiIqFMwsCIiIiLSiGkDKyHEHCHEASHEISHEQr3bYyRCiP5CiLVCiH1CiD1CiD+r27sJIb4RQqSq/3ZVtwshxHPqsdwphDjD77muU/dPFUJcp9ffpBchhF0IsV0I8aV6f5AQYrN6PD4QQoSr2yPU+4fUx5P9nuMedfsBIcRsff4SfQghEoQQHwoh9qvn4wSeh20jhPiL+j7eLYR4TwgRyfOwdUKI14UQ+UKI3X7bNDv3hBBnCiF2qb/znBBCdO5f2PGaOYZPqO/nnUKIT4QQCX6PBTzHmvu+bu48Njwppel+ANgBpAEYDCAcwC8ARundLqP8AOgN4Az1dhyAgwBGAfgHgIXq9oUAHldvzwPwFQABYDyAzer2bgAOq/92VW931fvv6+Rj+VcA7wL4Ur3/XwBXqLeXAbhJvX0zgGXq7SsAfKDeHqWenxEABqnnrV3vv6sTj9+bAG5Ub4cDSOB52Kbj1xdAOoAov/Pvep6HQR27KQDOALDbb5tm5x6ALQAmqL/zFYC5etvyKjIAAAQRSURBVP/NnXQMZwEIU28/7ncMA55jaOH7urnz2Og/Zu2xOhvAISnlYSllLYD3AVykc5sMQ0p5TEr5s3q7HMA+KB/QF0H5ooP676/U2xcBeEsqNgFIEEL0BjAbwDdSymIpZQmAbwDM6cQ/RVdCiH4A5gN4Vb0vAEwD8KG6S+Nj6D22HwKYru5/EYD3pZQ1Usp0AIegnL+mJ4SIh/LB/BoASClrpZSl4HnYVmEAooQQYQCiARwDz8NWSSnXAyhutFmTc099LF5KuVEqUcFbfs9lGoGOoZRytZTSpd7dBKCferu5cyzg93Urn6eGZtbAqi+Ao373s9Rt1Ig6FHA6gM0AekopjwFK8AWgh7pbc8fT6sf5GQB3AfCo97sDKPX7UPE/Hr5jpT5epu5v5WM4GEABgDfU4dRXhRAx4HkYNCllNoAnAWRCCajKAGwDz8MTpdW511e93Xi71fwWSm8d0PZj2NLnqaGZNbAKNJbNuhKNCCFiAXwE4HYp5fGWdg2wTbaw3fSEEOcDyJdSbvPfHGBX2cpjlj2GUHpazgDwopTydABOKMMvzeExbETNAboIytBKHwAxAOYG2JXnYfu09bhZ/ngKIe4F4ALwjndTgN1MeQzNGlhlAejvd78fgByd2mJIQggHlKDqHSnlx+rmPLULG+q/+er25o6nlY/zJAAXCiEyoHRdT4PSg5WgDskADY+H71ipj3eB0oVu5WOYBSBLSrlZvf8hlECL52HwZgBIl1IWSCnrAHwMYCJ4Hp4orc69LNQPgflvtwQ1if98AFerQ6FA249hIZo/jw3NrIHVVgDD1BkF4VCSND/XuU2GoY5dvwZgn5TyKb+HPgfgndVyHYDP/LZfq86MGQ+gTO0mXwVglhCiq3rlPEvdZnpSynuklP2klMlQzq/vpJRXA1gL4FJ1t8bH0HtsL1X3l+r2K9TZWoMADIOS9Gp6UspcAEeFECPUTdMB7AXPw7bIBDBeCBGtvq+9x5Dn4YnR5NxTHysXQoxX/1+u9XsuUxNCzAFwN4ALpZSVfg81d44F/L5Wz8vmzmNj0zt7vqN+oMziOAhltsG9erfHSD8AJkPpUt0JYIf6Mw/KmPa3AFLVf7up+wsAL6jHcheAsX7P9VsoSYiHANyg99+m0/GcivpZgYOhfFgcAvA/ABHq9kj1/iH18cF+v3+vemwPwIQzh1o5dqcBSFHPxU+hzKziedi2Y/gggP0AdgN4G8qsK56HrR+396DkpdVB6TX5nZbnHoCx6v9JGoDnoa50YqafZo7hISg5U97vlmWtnWNo5vu6ufPY6D9c0oaIiIhII2YdCiQiIiLqdAysiIiIiDTCwIqIiIhIIwysiIiIiDTCwIqIiIhIIwysiIiIiDTCwIqIiIhII/8P2WQCEQodr20AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 23min 22s, sys: 6min 57s, total: 30min 19s\n", "Wall time: 20min 27s\n" ] }, { "data": { "image/png": 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oM1mkcrmE31w8ilZjdFSZOi52JpjOBsx0/M3s6pzjPQ5wLXCOMaYIeBC4s9OgRK4SkYUisrCurq7TwHsrkGDCU4NpNbBxd2z8NZma6OHUwbnaTBbBirN8fH/aYN6ortNRZSpodiaYWqC43ddFfLrZ6uNzRMRDoGmrvptrOz0uIrnAKGPMfOv4Y8DJnQVljLnPGDPeGDM+Nze3N/fVpcwUL3sPHQtpmZ0ZlJsKwLq62Gkmmz68gF37m1ga5dsRxLLLTi5lVLGfm59dSYPNC7uq2GBngvkAqBCRgSKSQKDTfnaHc2YDl1nPLwZeM4H692xgpjXKbCBQASzopswGIENEKq2yzgTCvrlFpi+BvYeO2v5XeFluCkBM9cOcNjgft0t4WZfwj1hul3DbhSNoPHyMXz2ve8eontmWYKw+lWuAlwh82D9ujFkhIjeLyPnWafcD2SJSA1wH3GBduwJ4HFgJvAhcbYxp6apM6/jXgCdFZAmBPpgf2HVvXfH7Emg1sO+IvbUYX4KHQn9yTCWYDJ+XiWVZvLxyp9OhqG4M7ZfOVVPKePLDWt5Zq2uVqe557CzcGDMHmNPh2E3tnh8BPtfFtbcAtwRTpnX8KeCpPobcJ1kpXgAaDh3D70uw9XsNykuNqSYygDOH5vPzZ1eyru7Ax82AKvJ8+/QKXli+gx89tYyXvjuF5AS30yGpCKUz+UOoLak0HLK/fbo8N5BgYqlT/MxhBQDM1VpMREvyuvnfC0awuf4Qv391rdPhqAimCSaEMtsSTBg6QMvzUjlyrJWte2Nnw65CfzLDC9O1HyYKnDQom8+NK+Jvb6+PmUm/KvQ0wYRQpu+TJjK7DbI6+mOtmWxaVQGLt+xll659FfFuOHsIKYkebnpmhc6NUZ3SBBNCmdZ6ZHvD0USWF+ijiKWOfoBpw/IxBl5ZtcvpUFQPslMT+cFZg3lv/R6dG6M6pQkmhNISPXhcQn0YmsiyUxPJ9HlZFwPL9rc3OD+NkiwfL6/UZrJocMmEEkYWZXDL86vYb/PoSRV9NMGEkIjg93nD0kQGUJqTwsbdsZVgRITTh+Yxb90eDh+NjaVwYpnbJfxyxnDqDjTxu1e0w1/9J00wIea3JluGw8DsFDbuia0EA3DakDyONrcyb53Os4gGo4r9zDyhhL/P2xgz+xSp0NAEE2JZvoSwNJFBoAazvfFIzP2lP2FgFr4EN69Xaz9MtPjhWYNJT/Jw09Pa4a8+oQkmxPy+8KxHBoEEA7CpPrZqMYkeN5PKc3h9dZ1+WEWJzJQErp8+hAUb63lq8Vanw1ERQhNMiGX6EsIy0RKgNNsHEHP9MBBoJtu69zBrY2yUXCz7/PhiRhVlcPuLqznY1Ox0OCoCaIIJMX+Kl4ZDR8Pyl3dbDWZDjCzb396pg/MAeG21NpNFC5dLuOmzVezc18S9b65zOhwVATTBhFiWL4FjLYaDYegXSU/ykp2SEJYaTLibqgoykhjaL53XNcFElXEDsjh/VH/ue2u97n6pNMH0XucfuOFcLgYCtZgN4RpJ1tl2bzY6bUguCzc10HhY51dEkxvOHoII3PbCaqdDUQ7TBNMH0skHrv/j5WLC1Q+TwqYYHKoMgWayllbD22tDu/Oosld/fzJfnzKI55Zu54ON9U6HoxykCSbE2paLCddky4E5Pnbua+LQ0djrVB1Tkonf5+X11Zpgos3Xp5ZRkJ7Ezc+ujKkVv9Xx0QQTYm0LXoZrsmVbR//GGOzod7uEqZW5vLlml35IRRlfgocbzh7Csq2NPPFhrdPhKIdoggmxjORADSZc/Qal2VaCieFmst0HjrJ8W6PToajjNGN0f8aU+PnNS9Uc0GHLcUkTTIhlJLfVYMI72XJDDM6FAZhckQPA27o9b9QREX722WHU7W/i7tdrnA5HOUATTIgleFwke91hq8GkJnrITUuMycmWADmpiQwvTOfNNdoPE41GF/u5YEwhD7yzgW0xtDmeCo4mGBv4fd6wDq2N1UUv25xSkcuHmxq0mSVKfW9aJQa44+Vqp0NRYaYJxgYZyeFNMKU5vpiczd9mSkUuza2G99ftcToU1QtFmT6+OqmUpxZvZYX2pcUVTTA2SE/20ngcfTB9nSU/IDuF3QeaYnb9p7ED/PgS3LwV5fNh4nndzm9+phx/spdb56zWBUzjiCYYG/h7WYPp7UT5kqzAopdbYnRpjkSPm4ll2THR0d/Z5Nx4kJHs5VunVfBOzW7tT4sjQScYEUmxM5BYEu4msrYEs2lPbCYYgCkVOWzYfZAt9bF7j7HuixMHUJLl49Y5q2nReU1xoccEIyIni8hKYJX19SgRucf2yKJYuBPMAGvZ/lj+8D2lMhcg6pvJ4lmCx8UPpw+meud+nlykky/jQTA1mLuAs4A9AMaYJcAUO4OKdn6fl8PHWmhqDs9OkxnJXtKSPGyO4QRTlpNCoT+Zt9dEfzNZPDt3RD9GF/v57dzqmNuJVX1aUE1kxpgtHQ7pb0Y32iZbhqsWIyKUZPliuolMRJhSmcO763bT3NLqdDiql0SEH587lJ37mrj/nfVOh6NsFkyC2SIiJwNGRBJE5PtYzWWqc+lWgtkX5mayWG4ig8B8mP1HmllSu9fpUFQfnFCaxbSqfO59cz27DzQ5HY6yUTAJ5n+Aq4FCoBYYDXzTzqCiXbiXiwEozvJR23A4pjtPJw3KwSXwpjaTRb3rzx7C4WMt/P6VtU6HomwUTIIZbIy51BiTb4zJM8Z8ERhqd2DRzO8L74KXAAOyUjja0sqOfUfC9j3DLcPnZVSxX/eHiQGDclO5ZEIxjy7YHLPLHKngEswfgzymLOHug4FPhipvjuF+GAg0ky3Zsve4JrKqyPTt0yrwul3cOXeN06Eom3SZYETkJBH5HpArIte1e/wccAdTuIhMF5FqEakRkRs6eT1RRB6zXp8vIqXtXrvROl4tImf1VKYE3CIia0RklYh8O6ifgA2cTDCx3g8ztTKHVgPz1mkzWbTLS0/i8smlzF6yTZeQiVHd1WASgFTAA6S1e+wDLu6pYBFxA3cDZwNVwCUiUtXhtCuABmNMOYHh0Ldb11YBM4FhwHTgHhFx91DmV4BiYIgxZigwq6cY7ZKe5AHC2wfT35+E2yVsqo/t5oaRRX5SEty8qwkmJlw1ZRAZyV5+85IuhBmLPF29YIx5E3hTRP5ujNnUi7InADXGmPUAIjILmAGsbHfODODn1vMngD+JiFjHZxljmoANIlJjlUc3ZX4D+IIxptWKf1cvYg4Jj9tFWqInrDUYj9tFoT+ZzfWxvSS61+1iYlk279bowpexICPZy9WnDuJ/56zm/fV7mFiW7XRIKoSC6YM5JCK/EZE5IvJa2yOI6wqB9vNnaq1jnZ5jjGkGGoHsbq7trsxBwH+LyEIReUFEKjoLSkSuss5ZWFdnX2dxerI3rMOUIdBMFsuTLducXB5YNmar7i8SE758UikF6Unc/qIuhBlrgkkwDwOrgYHAL4CNwAdBXNfZsn4df3u6Oud4jwMkAkeMMeOBvwIPdBaUMeY+Y8x4Y8z43NzcTgMPhXDvCQNQku1jcwzvC9Nmcnlgl8t3a7SZLBYked1894wKFm/ey9yVO50OR4VQMAkm2xhzP3DMGPOmMeZyYGIQ19US6BNpUwRs6+ocEfEAGUB9N9d2V2Yt8KT1/ClgZBAx2iYj2cteB2owDYeOse9IbI+wqsxPJSc1kXmaYGLGxeOKKMtJ4TcvVcf0XK54E0yCafu02i4i54rIGAIf7D35AKgQkYEikkCg0352h3NmA5dZzy8GXjOBOvJsYKY1ymwgUAEs6KHMp4HTrOdTAUfHPoZ7wUuIn5FkIsKk8mzeXbdHm1RihMft4vtnDWbtrgM8tXir0+GoEAkmwfxKRDKA7wHfB/4GXNvTRVafyjXASwSWlnncGLNCRG4WkfOt0+4Hsq1O/OuAG6xrVwCPE+i8fxG42hjT0lWZVlm3AReJyDLgVuDKIO7NNo40kcXJXBgIzOqv29/E2l0HnA5FhcjZwwsYWZTBXXPXcOSYLncYC7ocRQYfDzWuMMY8R6AD/tTjKdwYMweY0+HYTe2eHwE+18W1twC3BFOmdXwvcO7xxNcXPf3h3LarpTEGCdMuUyXWsv12dPRHWj1hUkWgH+adtbupzE9zOBoVCiLC9dOHcOnf5vPw/M1cMXmg0yGpPuq2BmOMaQHO7+6ceNZd3shI9nK0pZUjx8K38m96khe/z2vbSLJI2oyx0J9MabZPO/pjzKTyHCaX53D36zXsj/G+xHgQTBPZPBH5k4icIiJj2x62RxblnJjNDzAgToYqQ+DDaP6Geo7p8v0x5QdnDab+4FH+9vYGp0NRfRRMgjmZwIz6m4HfWo877AwqFviTw7/gJQRWVY6nBHOgqZmlunx/TBlV7OecEQX87W1dzj/a9ZhgjDGndvI4rafr4t0nS/YfDev3LcnysbXhcFxsynVSWTYi6Kz+GPS9aYM50tzKn16rcToU1QdB7Wipjp9jTWTZPppbDdsbY3fZ/jaZKQkM65/OO9oPE3MG5abyuXFFPDJ/c8wPu49lmmBs4vc5k2CKraHKsbx9cnuTBuWweHMDh442Ox2KCrHvnFEBAr/TTcmiliYYm6Q7VIP5eLJlQ5wkmPIcjrUYFmyodzoUFWL9MpK57KQBPLW4lrU79zsdjuqFHhOMiFzYyeN0EckLR4DRKi3Rg0vCn2D6ZSTjdUvcdPSfUJpFgtvFvHXaDxOLvvGZcnwJHu54WZfzj0bB1GCuIDB7/1Lr8VcCs+7fFZEv2RhbVHO5JDDZMswJxu0SijJ9cTGbHyA5wc3YAX7eWav9MLEoKyWBq6aU8dKKnSze3OB0OOo4BZNgWoGhxpiLjDEXEdjoqwk4EbjezuCinRPrkUF8DVWGQD/Myu37qD8Y3hF7KjwunzyQ7JQE3ZQsCgWTYEqNMe3X0N4FVBpj6vlkIUzViYxkb1h3tWxTkpUcXwnGWjZGt1GOTamJHq45rZx56/ZoTTXKBJNg3haR50TkMhG5DHgGeEtEUgCd4dYNp2owJVk+Gg8fo9GB5OaEkYUZpCV6dD5MDPvCiSUU+pP59Uu6KVk0CSbBXA38HRgNjAH+QWB144PGmONa/DLeZDiwqyXE30gyj9vFiWXZui5ZDEv0BDYlW1rbyIvLdzgdjgpSMDP5jTHmCWPMtcaY71rP9U+IIDix6RhASVYKYM+qypFqUnk2m+sP6aS8GHbh2CIq8lL5zcvVcbFSRSwIdpjyWhFpFJF9IrJfRPaFI7ho19ZE1lM+DnW2Ls5KBuJnsiV8so1yJM/q1z/L+sbtEr43bTDr6w7y7w91U7JoEEwT2a+B840xGcaYdGNMmjEm3e7AYoHf56Wl1XDwaHCbJ4Vq25i0JC9ZKQlxVYMpz0slLy0x4pvJJKI2PYg+Zw3LZ1Sxn9+9opuSRYNgEsxOY8wq2yOJQU6tRwaBocrx1FwkIkwuz2Heuj206p7uMUtEuP6swWxrPML/vb/J6XBUD4JJMAtF5DERuaT9bH7bI4sBTq2oDIGO/niqwUBg2Zj6g0dZtUNbcGPZydamZPe8sY4DTboGXSQLJsGkA4eAacBnrcd5dgYVKzIc2hMGAhuPbd0bH8v2t5lk9cNEejOZ6rtPNiVb73Qoqhuenk4wxnw1HIHEorYajFNDlVtaDdv2HqEk2xf27++EgowkyvNSeadmD1dNGeR0OMpGo4r9nD28gL++tZ4vTRxAdmqi0yGpTnRZgxGRH1r//lFE/tDxEb4Qo1eGr62JzJk+GIivocoQGE32wYZ6mpq1AzjWfW9aJYePtXDPG+ucDkV1obsmsraO/YXAok4eqgdOdvK31VriLcFMKs/h8LEWFm/WRSZiXXleGhePK+Kf721i697DToejOtFlgjHGPGv9+1Bnj/CFGL1SEtx4XOJIgilIT4qrZfvbnFiWhdsl2g8TJ75zRiUAv39ljcORqM4EM9GyUkTuE5GXReS1tkc4got2IuLYbH63SyjOjK+hygDpSV5GFWVE9IRLFTqF/mS+dNIAnlhUS82uA06HozoIZhTZv4DFwE+AH7R7qCA4teAlBPphNtUfdOR7O2lSeQ5Ltuxl35H4WOwz3n3zM4NI9rqNSsvhAAAgAElEQVT5rW5KFnGCSTDNxpg/G2MWGGMWtT1sjyxGZPicWfASrLkwcbRcTJtJ5Tm0Gnhfd7mMC9mpiVx5ShkvLN/Bki3a9xZJgkkwz4rIN0Wkn4hktT1sjyxGOFmDKcnyse9Ic9ws299mTImfZK9b+2HiyJWnDCRLNyWLOMEkmMsINInN45MRZAvtDCoaBLsYiVObjkH8DlVO9LiZMDBL+2HiSFqSl29+ZhDv1Oxmnr7vEaPbBCMiLuCLxpiBHR5lYYovogWzcKHfwRrMgFAOVY6y5b0ml+ewru4g2xt1+Gq8+OLEAfTPSOL2l6p1U7II0W2CMca0AneEKZaYlJHsZd+RY44swNhWgwlVR7+EarnnMPhk2Rjth4kXSV433z2jkiVb9vLSip09X6BsF0wT2csicpH04tNFRKaLSLWI1IjIDZ28nmgtpFkjIvNFpLTdazdax6tF5KzjKPOPIhIx4xXTk70YA/uPhH9RvtRED9kpCXE3VBlgSEEa2SkJ2g8TZy4cW8ig3BR++3I1LbqqtuOCSTDXERiq3HQ8G46JiBu4GzgbqAIuEZGqDqddATQYY8qBu4DbrWurgJnAMGA6cI+IuHsqU0TGA/4g7ilsnJzND4FaTLz1wQC4XMLJ5Tm8U7Nbm0viiMft4vvTBrN21wGeWqybkjktmC2T04wxLmNMwnFuODYBqDHGrDfGHAVmATM6nDMDaFsV4AngdKumNAOYZYxpMsZsAGqs8ros00o+vwF+GERsYeP3ObeiMsTnsv1tJpdnU7e/ibU6AS+uTB9ewMiiDO6au0bXpHNYMDUYRCRTRCaIyJS2RxCXFQJb2n1dax3r9BxjTDPQCGR3c213ZV4DzDbGbA/mnsLl4z1hDod/TxgIdPRv23uEY3G0bH8bXb4/PokIPzhrMFv3HuaR+ZudDieuBbNUzJXAW8BLwC+sf38eRNmd9dl0bKvo6pzjOi4i/YHPAX/sMSiRq0RkoYgsrKur6+n0PouEJrKWVsP2vUcc+f5OKsr0UZrt0wQThyaX53DyoGz+9FqNbkrmoGBqMN8BTgA2GWNOBcYAwXwy1wLF7b4uArZ1dY6IeIAMoL6ba7s6PgYoB2pEZCPgE5GazoIyxtxnjBlvjBmfm5sbxG30jd/nbIIpCfFIsmgzqTyH99fXx2UNLp611WL2HDzKA+9scDqcuBVMgjlijDkCgVFfxpjVwOAgrvsAqBCRgSKSQKDTfnaHc2YTmMgJcDHwmgn0yM4GZlqjzAYCFcCCrso0xjxvjCkwxpQaY0qBQ9bAAcd9sm2yswkmfvthcjjQ1MzSWl1CJN6MKclkWlU+f31rPfUHnWmijnfBJJhaEfEDTwNzReQZPl0T+RSrT+UaAk1qq4DHjTErRORmETnfOu1+INuqbVwH3GBduwJ4HFgJvAhcbYxp6arM4G83/JK8bhI8LsfWI8tPTyLB7YrbBHPSoGxE4J21Oh8mHn3/rMEcPNrMn9/otEFD2SyYLZMvsJ7+XEReJ9CM9WIwhRtj5gBzOhy7qd3zIwT6Tjq79hbglmDK7OSc1GDiCxcnZ/O7XUJRVnJczoWBwCi+EYUZvFuzm++cUeF0OCrMKvPTuGBMEQ+9t4nLJw+kX0ay0yHFlWBHkU0Wka8aY94E3uPTo8FUN5xc8BLie6gyBPphPtzcwEHt7I1L3z2jAgz8/pW1TocSd4IZRfYz4HrgRuuQF/g/O4OKNU4ueAmBBLNpz6G4nXA4uTyH5lbDgg31ToeiHFCc5eMLJ5bwr0W1rK/TOVHhFEwN5gLgfOAggDFmG5BmZ1CxJhJqMPuPNDsag5PGDcgk0ePS1ZXj2DWnlZPocfHbubq1cjgFk2COWiO7DICIpNgbUuzJ8DmbYOJ12f42SV43J5Rm8c5aTTDxKic1kSsnD+T5pdtZVtvodDhxI5gE87iI/AXwi8jXgFeAv9obVmxxugYT0mX7o9Sk8hyqd+5n5774m3CqAq6cUkZWSgK3zFkZt83F4RbMWmR3EFgn7EkC819uMsb0OGNefSIj2cuBpmaaHZrsV5ypCWZqZWBS7Vtr7F+9QUWm9CQv3z2jgvfX1/PKql1OhxMXghpFZoyZa4z5gTHm+8aYuXYHFWv81mTLfQ4s2Q+QkughJzWBzXviN8EM7ZdGXloib2qCiWuXTCihLDeFW19Ypas7hEGXCaZtWf5OHkEt168+keFrm83v3GzieF22v42IMLUyl7fX7tZ9QuKY1+3ixrOHsr7uII8u0IUw7dZlgmlblr+TR7DL9StLTwtehqM5ON7nwgBMHZxL4+FjLHFo2RgTbftOx6gzhuYxsSyL372yln1H4nNkZbgE1USm+iYjObg9YaTTxaJDY0CWj217D8d1s8Dk8hxcAm9UO9dMFkW7TscsEeEn51bRcOgod7+uS8jYSRNMGDi9ZD8EmshaDWzbe9ixGJzm9yUwutiv/TCK4YUZXDCmkAff2Ri3yyiFgyaYMIiEBBPvqyq3mVqZx9Lavbq6ruIHZw3G5YJfv1TtdCgxSxNMGHycYJxcLsaaC7MpjkeSQaAfxhh4e63WYuJdv4xkvnZKGc8u2cbizQ1OhxOTNMGEQYLHhS/B7WgNJj8tiUSPi0174nPjsTYjCjPI9Hm1mUwB8PWpg8hJTeRXz6/SyZc20AQTJhnJXvY6mGBcLqE0O4UNu+O7BuN2CadU5PLWmt206nDluJea6OG6MytZtKmBOct2OB1OzNEEEyZOLxcDMDAnhQ27dTXZqZW57D7QxMrtOp1LwefHFzGkII3/nbOKI8danA4npmiC6aXjrU5HRILJTWFz/SHHlqyJFKdU5gBoM5kCwON2cdNnq9i69zB/eXO90+HEFE0wfXA8cxoykr2OdvJDoAZzrMWwtRdDlWOpMSkvLYlh/dM1waiPnTwoh3NH9OOeN2qobYjvZuRQ0gQTJpFQgynLCey0sL6udx39sTRHcGplLos2NTj+nqjIceM5QxCBW+esdjqUmKEJJkwiIcEMbEswu+N7JBnAaUPyaGk1WotRHyvK9PGNqeU8v2w789bp3kGhoAkmTPw+L4ePtdDU7FwnYlZKAulJHu3oB8aUZJKVksCrq3Y6HYqKIF+fWkahP5lfzF4Z932VoaAJJkwyUwLrke11sB9GRBiYm8oGrcHgdgmnDs7jjeo6/SBRH0vyuvnpeUOp3rmfh+frast9pQkmTLJ8gQSz54CzS5SU5aSwoZd9MLHmjKF5NB4+xsJNOotbfeKsYQVMKs/mzrlrdEmhPtIEEyZZVg2mwcE9YSDQD7Ot8QiHj+p4/1Mqc0lwu7SZTP0HEeFnnx3GgaZm7nhZ1ynrC00wYdKWYJz+i6ito39jnC8ZA4FZ3BMHZfOqbp+rOqjMT+Oyk0p5dMFmXaesDzTBhElmhCUY7YcJOGNoHut3H2RdnQ58UP/pummV5Kcl8aOnlms/XS9pggkTv7WisiaYyHLakDwAbSZTn5Ka6OFnn61i1fZ9/H3eRqfDiUqaYMLE43bh93kd74NJSfSQn57Y68mWsaYo08eQgjRe0WYy1Ynpwws4bUged85dE9eb9fWWJpgwyvIlOF6DAV30sqMzhuazaFMDex1O/iryiAi/OH8Yrcbw89krnA4n6miCCaPMlEhJMKk6m7+dM6ryaWk1vF6ttRj1acVZPr5zeiUvr9zJ3JXalHo8NMGEUVaEJJhBuSnsPXSM3QeanA4lIowszKAgPYkXdD8Q1YUrTxlIZX4qP5+9gkNHm50OJ2rYmmBEZLqIVItIjYjc0MnriSLymPX6fBEpbffajdbxahE5q6cyReRh6/hyEXlARLx23ltvZPkSHO+DgcAQTIC1O7WZDAKbsU0fXsCba+o42KQfHurTvG4Xt1wwgq17D3Pny2ucDidq2JZgRMQN3A2cDVQBl4hIVYfTrgAajDHlwF3A7da1VcBMYBgwHbhHRNw9lPkwMAQYASQDV9p1b73V1kTm9NasHyeYXfsdjSOSnD28gKbmVm0mU106oTSLL5xYwgPvbuBDnRsTFDtrMBOAGmPMemPMUWAWMKPDOTOAh6znTwCni4hYx2cZY5qMMRuAGqu8Lss0xswxFmABUGTjvfVKdkoCx1oMBxz+Kzk/PZG0RI/WYNoZX5pFTmqiNpOpbt149hAK0pP44RNLdffLINiZYAqBLe2+rrWOdXqOMaYZaASyu7m2xzKtprEvAS92FpSIXCUiC0VkYV1deJdqb5ts2XDQ2WX7RYSK/FTW7NQaTBu3SzhrWD6vV+/SZXRUl9KSvPzvhSOo2XWAP7y61ulwIp6dCaaz/ak6tg11dc7xHm/vHuAtY8zbnQVljLnPGDPeGDM+Nze3s1Nsk5ViTbaMgH6Yirw0anZpDaa9c0b049DRFt0jRnXrM4PzuHhcEX95az3LahudDiei2ZlgaoHidl8XAdu6OkdEPEAGUN/Ntd2WKSI/A3KB60JyByGWlZIIQP1B50dvVeSnsufgUfboSLKPnTgwi0yflxeWb3c6FBXhfnpuFdkpCfzgiSUcbdZlZLpiZ4L5AKgQkYEikkCg0352h3NmA5dZzy8GXrP6UGYDM61RZgOBCgL9Kl2WKSJXAmcBlxhjIvIdb1uyv97hJjKAio87+rUW08bjdjGtqoBXV+1ydGM4FfkyfF5uuWAEq3fs5543apwOJ2LZlmCsPpVrgJeAVcDjxpgVInKziJxvnXY/kC0iNQRqHTdY164AHgdWEuhLudoY09JVmVZZ9wL5wHsi8pGI3GTXvfVWptVE1hABc2Eq81MBWKv9MP/h7BEFHGhq5q01umWu6t6ZVfnMGN2fP71Ww5Ite50OJyJ57CzcGDMHmNPh2E3tnh8BPtfFtbcAtwRTpnXc1nsJhdREDwluV0T0wRSkJwVGkmkN5j9MKs8h0+flmY+2cmZVvtPhqAh38/nDWbChnmsf+4jnvj0ZX0LEfwyFlc7kDyMRISslgd37/7Pfw4lZMSJCuY4k+xSv28V5I/szd+VO9h8JbVOmw9OflA0yfF5++/lRbNhzkFueX+V0OBFHE0yY5aYlUtdVx3pnY+RsVJmXpnNhOvFfYwppam7lpRW67pTq2cmDcvjaKWU8PH+zbvvQgSaYMMtLS6Ruf2SM3BpckMaeg0fZtf+I06FElLElfkqyfDzz0VanQ1FR4nvTKhnaL50fPrE0Yv5/RwJNMGGWm5bIrgj5BRzWPx2AFdv2ORxJZBERZozuz7s1u9m1T5Ov6lmix83vZ45mf1Mz1z+51PHloCKFJphe6u2vT25aInsONNHS6vwv4FArwazUBPMpM0YX0mpg9pKOU7eU6lxlfho/Pmcor63exV/fXu90OBFBE0wf9KbLJC8tkVYDeyJgsmV6kpeSLF9QCSbe/iIrz0tlRGEGTy3WZjIVvC+fNIBzRhRw+4vVLNxY73Q4jtMEE2a5aYHZ/JHSTlvVL50V24Jb7kLCPAjBaReOLWTFtn1B/3yUEhFuu2gkRZnJXPPI4rhfKUMTTJjlpiUBRFQ/zMY9h0I+JDcWXDCmkASPi1kLtvR8slKW9CQvd39hLPWHjnLt40tojYDmcKdoggmzvEirwVj9MKt36HyYjvy+BM4ZXsDTH23VFZbVcRlemMHPPlvFW2vq+ONr8buUjCaYMIu0JrJh/TMAWLFVm4E6M3NCCfuPNPP8Ml0AUx2fL0wo4YIxhdz1yhpeXhGf+wxpggmzJK+btCRPxCSY/PREslISdKhyF04cmEVZTgqzFmx2OhQVZUSEWy8cwaiiDK597CNW74i//2OaYByQl5YYMZMbRYThhRks0xpMp0SEmROKWbipQRcGVcctyevmL18aT0qih6/9YyH1EbDQbThpgnFAbgTN5gcYU+yneud+7ejvwkVji0jwuHjovY1Oh6KiUEFGEn/50jh27mvimw8v4lhLRO4mYgtNMA7IT09ie2Nk1GAAxg7IxBhYqrvzdSo7NZH/Gt2fJxdtZW8ErIStos+Ykkxuu3AE76+vj6uZ/ppgHNDfn8yOxiMRMZsfYHSRH4APNzU4HEnkunzyQA4fa+ER7YtRvXTh2CKuPaOSf3+4lV+/VO10OGGhCcYBhf5kmltNxDSTZfi8lOelslg3TerSkIJ0Jpfn8I95m+KqiUOF1rdPL+eSCSX8+Y11PDRvo9Ph2E4TjAMKM5MB2Lr3kMORfGJsiZ/FmxvipureG1dMHsiOfUeYo0OWVS+JCL+cMYwzhubz82dX8PzS2P5d0gTjgEJ/IMHUNhx2OJJPjCnJpOHQMTbsPuh0KBFramUuFXmp3PP6uriena36xuN28cdLxjCuJJPvzFoc03NkNME4oC3BbNsbOR39J5RmAjB/gy7Q1xWXS7jmtHKqd+7nxRj+UFD2S05w8+BXT2B4YQZXP/JhzG5UpgnGASmJHvw+b0Q1kQ3KTSUvLZF3a3Y7HUpEO29kfwblpvD7V9ZqLUb1SVqSl39cMYGh/dL5xv99yOvVu5wOKeQ0wTik0J/M1ghqIhMRJpXn8N66PfrB2Q23S/j26RVU79zPC8u1FqP6Jj3Jyz8vP5HKglSu+sdCnlsaW/sPaYJxSH9/Mlv3Rk6CATh5UDZ7Dh6lWmesd+u8kf0pz0vljperOdqsI8pU32T4vDx85URGF/v51qOL+ef7m5wOKWQ0wThkQJaPTXsORVRtYVJ5DoA2k/XA7RJ+fO5QNuw+yD/e2+h0OCoGZCR7+ecVJ3L6kDx++vRy7py7JiZGdGqCcUh5XipNza0RVYvp709mUG4Kb1TXOR1KxDt1cB5TK3P5/atr435TKRUaSV43935xHBePK+IPr67lmkcXc+hos9Nh9YkmGIcMyksFYF3dAYcj+U/ThhXw/vo9uiRKEH5y7lAOHW3h1hdWOx2KihEet4vfXDySG84ewpxl27n4z+9F1B+hx0sTjEMG5QYSTM2uyEow04cV0NxqeHVV7I1oCbWK/DT+Z2oZTyyqjckRQMoZIsL/TB3EA5edwJb6Q5z3h7ejdq6MJhiHZKUkkOnzsq4usiY2jizKoF9Gko6QCtK3T6+gIi+VG59cRuNhXY1ahc6pQ/J45ppJ9Pcnc9U/F/Hjp5ZF3c6qmmAcVJ6XypoIG7ElIpw7oh9vVO+KmLXSIlmix80dnxvF7gNNfO/xjyJq0IaKfmW5qfz7mydz1ZQyHp6/mXP+8HZUDcLRBOOgEYV+lm9tpDnCFk+cOaGY5lbDE4tqnQ4lKowq9vPT86p4ZdWuuN5/Xdkj0ePmR+cM5ZErT8QYw6V/m893Zy1m177IWQmkK5pgHDSmxE9TcyvVOyKrFlOel8aEgVk8skBXDg7Wl08awIXW/uuP6pL+ygYnl+fw4nen8O3Tynl+2Xam/OZ1bnthdUQPyLE1wYjIdBGpFpEaEbmhk9cTReQx6/X5IlLa7rUbrePVInJWT2WKyECrjLVWmQl23lsojCkJ7MOyaHPk7cNy1SllbKk/zJNaiwmKiHDbRSM5dXAuP3pqGf8XQ5PlVORI8rq5btpg5l47lenDCvjLW+s45fbX+eVzK9m0J7L6c8HGBCMibuBu4GygCrhERKo6nHYF0GCMKQfuAm63rq0CZgLDgOnAPSLi7qHM24G7jDEVQINVti1+9szykMwVKfQnMyA7MOEy0pw+NI8xJX7unLuGhjjbR7y3Ejwu/vzFcZw6OI+fPL2cHz+1jINN0T2PQUWm0pwUfjdzDC985xSmDs7loXkb+cwdb/DlBxbw+MItNB6KjAEndtZgJgA1xpj1xpijwCxgRodzZgAPWc+fAE4XEbGOzzLGNBljNgA1Vnmdlmldc5pVBlaZ/2XXjWWlJHLG0HwuPXFAn8oREc4e3i9EUYVWYN+K4TQcOso1j37IgaboGr3ilCSvm79+efzHnbJn3vkmD83bSL0maWWDIQXp/OkLY3n3htP41qnlrK87wA+fWMq4X83lwnve5bYXVvPSih3U7DrgyLJGHhvLLgS2tPu6Fjixq3OMMc0i0ghkW8ff73BtofW8szKzgb3GmOZOzg+575xREbKyLj2xhHvfXBey8kJpeGEGt144kh8+sQQdHBU8t0v40TlDmVaVz6+eX8XPZq/gZ7NXADA4P83h6FQsyk9P4rppg7n2zEqW1jby4oodzF+/h7+9vZ5m6z+vCKQlekhL8pKc4Ob+y8YzIDvF1rjsTDDSybGOH1NdndPV8c5qXN2d/+mgRK4CrgIoKSnp7JSwKs7y8eBXTmDhpnrSk+x8O3rn4nFFDMpN4V+Lajl3RGTWtiLV+NIsnr56Esu3NvLW2jrW7TrIxLIsp8NSMUxEGFXsZ1RxoH/38NEWqnfuZ8PuA2zYfYjGQ0fZf6SZI80tJHrctsdj5ydaLVDc7usioONa1G3n1IqIB8gA6nu4trPjuwG/iHisWkxn3wsAY8x9wH0A48ePj4i/y08dksepQ/KcDqNLY0oyGVOS6XQYUWt4YQbDCzOcDkPFoeQEN6OL/Yy2Ek642dkH8wFQYY3uSiDQaT+7wzmzgcus5xcDr5nAEqKzgZnWKLOBQAWwoKsyrWtet8rAKvMZG+9NKaVUD2yrwVh9KtcALwFu4AFjzAoRuRlYaIyZDdwP/FNEagjUXGZa164QkceBlUAzcLUxpgWgszKtb3k9MEtEfgUstspWSinlEImFPQd6a/z48WbhwoVOh6GUUlFFRBYZY8b3dJ7O5FdKKWULTTBKKaVsoQlGKaWULTTBKKWUsoUmGKWUUraI61FkIlIH9HbZ2xwCEzyjWbTfQ7THD3oPkSDa44fw38MAY0xuTyfFdYLpCxFZGMwwvUgW7fcQ7fGD3kMkiPb4IXLvQZvIlFJK2UITjFJKKVtogum9+5wOIASi/R6iPX7Qe4gE0R4/ROg9aB+MUkopW2gNRimllC00wfSCiEwXkWoRqRGRG5yOp42IFIvI6yKySkRWiMh3rONZIjJXRNZa/2Zax0VE/mDdx1IRGduurMus89eKyGVdfU+b7sMtIotF5Dnr64EiMt+K5TFrqwas7Rwes+KfLyKl7cq40TpeLSJnhTl+v4g8ISKrrffipCh8D661foeWi8ijIpIU6e+DiDwgIrtEZHm7YyH7uYvIOBFZZl3zBxHpbKPDUMf/G+v3aKmIPCUi/navdfqz7erzqav3z1bGGH0cx4PANgHrgDIgAVgCVDkdlxVbP2Cs9TwNWANUAb8GbrCO3wDcbj0/B3iBwI6gE4H51vEsYL31b6b1PDOM93Ed8AjwnPX148BM6/m9wDes598E7rWezwQes55XWe9LIjDQer/cYYz/IeBK63kC4I+m94DAduMbgOR2P/+vRPr7AEwBxgLL2x0L2c+dwJ5UJ1nXvACcHYb4pwEe6/nt7eLv9GdLN59PXb1/tv4uheMXNpYe1i/YS+2+vhG40em4uoj1GeBMoBroZx3rB1Rbz/8CXNLu/Grr9UuAv7Q7/h/n2RxzEfAqcBrwnPWfeXe7/2Qf//wJ7At0kvXcY50nHd+T9ueFIf50Ah/O0uF4NL0HhcAW60PWY70PZ0XD+wCUdviADsnP3Xptdbvj/3GeXfF3eO0C4GHreac/W7r4fOru/5GdD20iO35t//na1FrHIorVTDEGmA/kG2O2A1j/tu3P3NW9OHmPvwN+CLRaX2cDe01gK+yOsXwcp/V6o3W+k/GXAXXAg1Yz399EJIUoeg+MMVuBO4DNwHYCP9dFRNf70CZUP/dC63nH4+F0OYGaExx//N39P7KNJpjj11m7a0QNxRORVOBJ4LvGmH3dndrJMdPNcVuJyHnALmPMovaHu4klouK3eAg0c/zZGDMGOEigaaYrEXcPVj/FDAJNL/2BFODsbuKJuHsIwvHG7Oi9iMiPCezu+3DboS7iiaj4NcEcv1qguN3XRcA2h2L5FBHxEkguDxtj/m0d3iki/azX+wG7rONd3YtT9zgJOF9ENgKzCDST/Q7wi0jb9t7tY/k4Tuv1DAJbbzv5HtUCtcaY+dbXTxBIONHyHgCcAWwwxtQZY44B/wZOJrrehzah+rnXWs87HredNdDgPOBSY7Vv9RBnZ8d30/X7ZxtNMMfvA6DCGpGRQKBTc7bDMQGBkTHA/cAqY8yd7V6aDbSNhrmMQN9M2/EvWyNqJgKNVjPCS8A0Ecm0/pqdZh2zlTHmRmNMkTGmlMDP9TVjzKXA68DFXcTfdl8XW+cb6/hMa3TTQKCCQAet7YwxO4AtIjLYOnQ6sJIoeQ8sm4GJIuKzfqfa7iFq3od2QvJzt17bLyITrZ/Jl9uVZRsRmQ5cD5xvjDnU4b46+9l2+vlkvR9dvX/2sbuTJxYfBEagrCEwWuPHTsfTLq7JBKq9S4GPrMc5BNpfXwXWWv9mWecLcLd1H8uA8e3KuhyosR5fdeBePsMno8jKCPznqQH+BSRax5Osr2us18vaXf9j676qCfFonyBiHw0stN6HpwmMRoqq9wD4BbAaWA78k8BopYh+H4BHCfQZHSPwl/wVofy5A+Otn8c64E90GMhhU/w1BPpU2v4/39vTz5YuPp+6ev/sfOhMfqWUUrbQJjKllFK20ASjlFLKFppglFJK2UITjFJKKVtoglFKKWULTTBK9ZKIzLP+LRWRL4S47B919r2UiiY6TFmpPhKRzwDfN8acdxzXuI0xLd28fsAYkxqK+JRyitZglOolETlgPb0NOEVEPpLAPipuax+PD6x9PL5unf8ZCezX8wiByX2IyNMiskgCe69cZR27DUi2ynu4/feyZp7/RgL7tCwTkf9uV/Yb8sk+NA9bM84RkdtEZKUVyx3h/Bmp+Obp+RSlVA9uoF0NxkoUjcaYE0QkEXhXRF62zp0ADDfGbLC+vtwYUy8iycAHIvKkMeYGEbnGGDO6k+91IYGVAkYBOdY1b1mvjQGGEVhj6l1gkoisJLDM+xBjjJF2G1YpZTetwSgVetMIrHP1EYHtErIJrLFI/lYAAAFVSURBVBUFsKBdcgH4togsAd4nsEhhBd2bDDxqjGkxxuwE3gROaFd2rTGmlcCyIqXAPuAI8DcRuRA41EmZStlCE4xSoSfAt4wxo63HQGNMWw3m4McnBfpuziCwCdcoYDGBdb16KrsrTe2etxDYXKqZQK3pSeC/gBeP606U6gNNMEr13X4CW1S3eQn4hrV1AiJSaW061lEG0GCMOSQiQwhs3dvmWNv1HbwF/LfVz5NLYJvdLlcotvYGyjDGzAG+S6B5Tamw0D4YpfpuKdBsNXX9Hfg9geapD62O9joCtYeOXgT+R0SWElgR9/12r90HLBWRD01gy4I2TxHY7nYJgZWzf2iM2WElqM6kAc+ISBKB2s+1vbtFpY6fDlNWSillC20iU0opZQtNMEoppWyhCUYppZQtNMEopZSyhSYYpZRSttAEo5RSyhaaYJRSStlCE4xSSilb/D8XpTLq+ySrjQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "# With weight decay\n", "adamw = Get_Adam()\n", "lr = [1e-5,1e-4,1e-3]\n", "wd = [1e-5,1e-4,1e-3]\n", "loss_adamw4, learn4 = experiment(adamw, PATH, lr, use_wd_sched=True, wds=wd, do_unfreeze=True)\n", "save_list('adamw_loss4.txt', loss_adamw4)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" } }, "nbformat": 4, "nbformat_minor": 2 }