{ "cells": [ { "cell_type": "markdown", "id": "ea096a66", "metadata": {}, "source": [ "## Working with `ipyparallel`\n", "In this example we want to use basico from ipython, in a `ipyparallel`, as the normal approach with using `multiprocessing` does not seem to work across operating systems within the jupyter notebooks (read: i could not make it work on Windows). \n", "\n", "This means, that to run this example, you will need the `ipyparallel` package installed, which can be achieved by uncommenting the folling line: " ] }, { "cell_type": "code", "execution_count": 1, "id": "d96c5fd3", "metadata": {}, "outputs": [], "source": [ "#!pip install -q ipyparallel" ] }, { "cell_type": "markdown", "id": "0c198d4d", "metadata": {}, "source": [ "once that is installed, you will to switch to the home screen of the jupyter notebook, and start the cluster manually: \n", "\n", "![Start the ipyparallel cluster](https://p194.p3.n0.cdn.getcloudapp.com/items/BluzKKej/bb46e13e-76ed-4d9b-ae58-7db8a4f5e599.gif?v=c09fdcbb6b6054085bb56b8f22f402e0)\n", "\n", "otherwise this notebook will fail with an error like: \n", "\n", " ---------------------------------------------------------------------------\n", " FileNotFoundError Traceback (most recent call last)\n", " Cell In[3], line 1\n", " ----> 1 cluster = ipp.Cluster.from_file()\n", " 2 rc = cluster.connect_client_sync()\n", " 3 # wait to get the engines and print their id\n", "\n", " File ~/env/lib/python3.11/site-packages/ipyparallel/cluster/cluster.py:556, in Cluster.from_file(cls, cluster_file, profile, profile_dir, cluster_id, **kwargs)\n", " 554 # ensure from_file preserves cluster_file, even if it moved\n", " 555 kwargs.setdefault(\"cluster_file\", cluster_file)\n", " --> 556 with open(cluster_file) as f:\n", " 557 return cls.from_dict(json.load(f), **kwargs)\n", "\n", " FileNotFoundError: [Errno 2] No such file or directory: \n", " '~/.ipython/profile_default/security/cluster-.json'\n", "\n", "\n", "Once the ipyparallel is installed and the cluster is running continue as follows: " ] }, { "cell_type": "code", "execution_count": 2, "id": "080baf3d", "metadata": {}, "outputs": [], "source": [ "from basico import *\n", "import ipyparallel as ipp" ] }, { "cell_type": "markdown", "id": "6655ed0a", "metadata": {}, "source": [ "we could create a cluster manually, in my case i just created one in the cluster menu in the jupyter setup, so to access it we just need to run: " ] }, { "cell_type": "code", "execution_count": 3, "id": "8c1ab33d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 1, 2, 3, 4, 5, 6, 7]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cluster = ipp.Cluster.from_file()\n", "rc = cluster.connect_client_sync()\n", "# wait to get the engines and print their id\n", "rc.wait_for_engines(6); rc.ids" ] }, { "cell_type": "markdown", "id": "f6f69eef", "metadata": {}, "source": [ "Now we create a direct view with all of the workers:" ] }, { "cell_type": "code", "execution_count": 4, "id": "9e8540c6", "metadata": {}, "outputs": [], "source": [ "dview = rc[:]" ] }, { "cell_type": "markdown", "id": "565869a2", "metadata": {}, "source": [ "The model we use is the BioModel 68, since we will need the model many times, i download it once and save it to a local file: " ] }, { "cell_type": "code", "execution_count": 5, "id": "b997a146", "metadata": {}, "outputs": [], "source": [ "m = load_biomodel(68)\n", "save_model('bm68.cps', model=m)\n", "remove_datamodel(m)" ] }, { "cell_type": "markdown", "id": "cbc74111", "metadata": {}, "source": [ "And define the worker method, the worker just loads a biomodel (in case it was not loaded into the worker before, otherwise it accesses the current model). It then chooses a random initial concentration for 2 species, and computes the steady state of the model. Finally the initial concentrations used and the fluxes computed are return. In case a `seed` is specified, it will be used to initialize the rng:" ] }, { "cell_type": "code", "execution_count": 6, "id": "dd8abef1", "metadata": {}, "outputs": [], "source": [ "def worker_method(seed=None):\n", " import basico\n", " import random \n", " if seed is not None:\n", " random.seed(seed)\n", " if basico.get_num_loaded_models() == 0:\n", " m = basico.load_model('bm68.cps')\n", " else: \n", " m = basico.get_current_model()\n", " \n", " # we sample the model as described in Mendes (2009)\n", " cysteine = 0.3 * 10 ** random.uniform(0, 3)\n", " adomed = random.uniform(0, 100) \n", " \n", " # set the sampled initial concentration. \n", " basico.set_species('Cysteine', initial_concentration=cysteine, model=m)\n", " basico.set_species('S-adenosylmethionine', initial_concentration=adomed, model=m)\n", "\n", " # compute the steady state\n", " _ = basico.run_steadystate(model=m)\n", "\n", " # retrieve the current flux values\n", " fluxes = basico.get_reactions(model=m).flux\n", "\n", " # and return as tuple\n", " return (cysteine, adomed, fluxes[1], fluxes[2])\n", " " ] }, { "cell_type": "markdown", "id": "7ad1164f", "metadata": {}, "source": [ "We can invoke this method synchronusly in the notebook to obtain the result:" ] }, { "cell_type": "code", "execution_count": 7, "id": "89b21c47", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(1.5236813977490542,\n", " 29.805870872058716,\n", " 0.04158430196391732,\n", " 0.9584156980360827)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "worker_method()" ] }, { "cell_type": "markdown", "id": "370d4747", "metadata": {}, "source": [ "now we want to do that many times over (passing along the index to set the seed every time to get about the same result on my machine):" ] }, { "cell_type": "code", "execution_count": 8, "id": "f1137674", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.06 s, sys: 55 ms, total: 2.12 s\n", "Wall time: 2.08 s\n" ] } ], "source": [ "%%time\n", "sync_results = []\n", "for i in range(2000):\n", " sync_results.append(worker_method(i))" ] }, { "cell_type": "markdown", "id": "75d90220", "metadata": {}, "source": [ "here a utility method plotting the result: " ] }, { "cell_type": "code", "execution_count": 9, "id": "9bc3174f", "metadata": {}, "outputs": [], "source": [ "def plot_result(results):\n", " cys = [x[0] for x in results]\n", " ado = [x[1] for x in results]\n", " y1 = [x[2] for x in results]\n", " y2 = [x[3] for x in results]\n", " plt.plot(ado, y1, 'x')\n", " plt.plot(ado, y2, 'o')\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "4425a88b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_result(sync_results)" ] }, { "cell_type": "markdown", "id": "8887b29e", "metadata": {}, "source": [ "So that for me took some 10 seconds (even though the model was loaded already), \n", "so the next thing to do is to run it in parallel. Here i start 10000 runs, passing along the seed for each one, to make it reproducible: " ] }, { "cell_type": "code", "execution_count": 11, "id": "13d88d23", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 412 ms, sys: 259 ms, total: 671 ms\n", "Wall time: 3.72 s\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", "ar_map = dview.map_async(worker_method, [i for i in range(10000)])\n", "ar_map.wait_for_output()" ] }, { "cell_type": "markdown", "id": "c141f586", "metadata": {}, "source": [ "And now we can plot that as well: " ] }, { "cell_type": "code", "execution_count": 12, "id": "b82413da", "metadata": {}, "outputs": [ { "data": { "image/png": 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gxK0IpMc74Gpq07fVIwoSc1kHjuv+l6vtEhGZiOlyRiyyhMq6RlhkCXnYguciVhndJPJ03f+qs52IiMg0TNczsmTuWORmJUIobjwc8ScAgNzHXpEGRKFODIPfIzzOVODcG/p2saEuMg5YXstAhIjIhEwXjADAjIwE5Fi+QopU26dARAj1Y23rJYiXTvlZrUQC5j8JXLEaYa1vMukmIHpE+K7XJzJwbwWHZoiITKpPwcizzz6LjIwM2O12zJo1C1u3bu1x/1WrVuGss86Cw+FAeno6li1bhqampj41OBhe31mFJFHXr3NsV7IxPq7V/wNy71b/6rfa1H+HQ0wKEJcOtBl3r/1y7UsMRIiITCzgYGTDhg0oKCjAww8/jJ07d2LSpEmYN28ejh496nP/devW4b777sPDDz+ML774An/4wx+wYcMGPPDAA/1ufF+sLt6DyrpGHEVcv84zw1KG+afe8v+Anf8LKG713xc/BuQuAaQQd0w1u4APnwSa6kN7nf6YfRcLmhERmVzAT8PCwkIsWrQICxcuxPjx47FmzRpERUXhxRdf9Ll/SUkJ5syZgxtvvBEZGRm4+OKLccMNN/TamxIqbkUg0ipjqzIOh0RCn2qM9GnmTVMdsG9Tx+cXPwY8WA2cu6APJ/NTy8nQnTsYcu4E5j1udCuIiMhgAQUjLS0t2LFjB/Ly8jpOIMvIy8vD5s2bfR6Tm5uLHTt26MFHRUUF3nnnHVx66aXdXqe5uRkul8vrI1gssoTmNgUKZDzaegsAdAlIQlZz5JO/dPSOAOqQzZSbQ3SxAS57PjB/hdGtICKiASCgYOT48eNwu91ITk722p6cnIwjR474PObGG2/EL37xC5x33nmIiIhAVlYWLrjggh6HaVasWIHY2Fj9Iz09PZBm9kirMwIAG5WZuKN1KY4gwWsfJVR5vZ9uAFZNAHZ7DO+MzgUc8T0fZ4sGbFGhaZMRRk4DbtxgdCuIiGiACPlsmg8++ABPPPEEfve732Hnzp14/fXX8fbbb+Oxxx7r9pj7778fJ06c0D8qKyuD1p5l+dm4amoaIq3qW9+ozMR5zatxfcvPsaTlLlzf8nOc1fxH/KL1u0G7phfXIeCVm4EPnuroJfGnJ6bldGjaE3YSsKjI6EYQEdEAElDRs6SkJFgsFlRXV3ttr66uxogRvqePPvTQQ7j55pvxwx/+EAAwceJEnDp1CrfddhsefPBByHLXeCgyMhKRkZGBNC0g2lCNRoGMUmW81z5/dM/HD63vYAT6Nv23Vx88Aez8I5Ceo+aT9GSg534E4uoXOXOGiIi8BNQzYrPZMG3aNBQXF+vbFEVBcXExZs+e7fOY06dPdwk4LBb1YSQMWhDGrQiktQ/VAIAMBTnyblwhlyBH3g0Z3jkl/ujTW3EdAj5/vQ8HDlLZlwATrzK6FURENMAEXA6+oKAAt956K6ZPn46ZM2di1apVOHXqFBYuXAgAuOWWW5CamooVK9TkxMsvvxyFhYWYMmUKZs2aha+//hoPPfQQLr/8cj0oCTeLLKGqrhEAME/eiocj/oQUqVZ//ZBI0AMRSVIDjZ5m0HCRPT8404Eb1xvdCiIiGoACDkYWLFiAY8eOYfny5Thy5AgmT56Md999V09qPXDggFdPyM9//nNIkoSf//znOHjwIM444wxcfvnlePxx46Z0lpQfB6AGIr7WphmBWjwXsQr1GAYhei8XX4doPNj6A9QhBsmoxaVxlZh3+u8haPkgdtc2o1tAREQDlCSMGisJgMvlQmxsLE6cOAGn09nv813//GZsrTiOTZFLus0JUfwIQgBgQ9s3cH/bbV4zcEbF2bC+8bbQ5ZsMNmPnATe9YnQriIgozPx9fptybZpZYxJxmXNvj2vT+BtEfCzO7TIV+EB9Cx5rvRkS/JsoM6RFDWcgQkREPTJlMLIsPxtLozYG5VxHRVyXbfPkrXgo4n8hSWFdEm/giYgBfrbH6FYQEdEAZ8pgBP/3ELLqN/W+Xw8UARwXTiSjVp+BA3TkoYxAbS9nMIEff2l0C4iIaBAIOIF10GtrATb/tt+nkQAkSS48Y/sdAHUGzmOtN+PxiD9AQh/XrxlKRkwC7NFGt4KIiAYB8wUj29YCQul9vwCNQC1+F/EMgxAAkCOA2/9tdCuIiGiQMN8wTd2+fh0uhJqU2jno4KwZDz+v7n0fIiKidubrGYkb3a/De+r5YK8IgG/8jOXeiYgoIObrGTnjbEMvLzCEp/vKVuCC+4xuBRERDTLmC0Z6W5Qu1AQghuptv/oP7BUhIqKADdGnYg+ik/t0mBBArRiGwyIBSjddG0L0vk6NJKkL8+HixwFHXJ/aMiCdeTFwzpVGt4KIiAYh8wUjo3MBZ0qfDn2l7UI80r6Anq+AJKCckcZ69WOomLPE6BYQEdEgZb5gRLYAE64JOG9DALjN+g8AwB2tS1GP/tXQKN1b06/jB5SIYWqQR0RE1AfmC0Z2vwWU/Cbgw7Spu49HvAgHmqAA8FWtRJJ6HqoRAA6JONhbTwTchgFr/JXMFSEioj4z16q9ihtYNQFwHQpe4/pAYIitWfPzY4DVZnQriIhogOGqvb7sLzE8EAGGWCCSu4SBCBER9Yu5gpGTrAwaVPYE4OLHjG4FERENcuYKRvo4rZe6cd49RreAiIiGAHMFI/q0Xt8DJQM/e2aAybnT6BYQEdEQYK5gRLYA858C0LUkuyK4tkxAMs5nrggREQWFuYIRABh/BXDdn3DSNtxrczBW3fWnAuuQ8d3XjW4BERENEeYLRgBg/BWImbYg6AvWSZL60V25+CFj9l3sFSEioqAxZzDy2ZvA5t+EbIrtiX5WZx3Q4kYD8x43uhVERDSEWI1uQNgpbuCdgpBe4s7WJRCQkYxaLI/4E+JxMijDQAPCrB8Z3QIiIhpizNczsr8EOB2adWEUARwSidimjAMA2G1W/LFtXkiuZZgZi4xuARERDTHm6xkJUeEz0T4b59O2DGyyL8MItAc8EUCtiEasOAnLYO8dcaYzV4SIiILOfMFIiAqfaQvkXWzZoc6o8Qg84nASEjoClkHrrCHWy0NERAOC+YZp0mcBUmjetjabpnN+iCypdU0a4AjJdcMm/5dGt4CIiIYg8wUjlVsAoYT9srIEOKVG1IiYwVmLJG0GYBvkwRQREQ1I5gtGDF4s7xN3FoDBVhxNBr6/0ehGEBHREGW+YMTgxfIutOyCwCDLHTn7crWUPhERUQiYLxjpZbE8f/W1Z8PiI6dkwDsj2+gWEBHREGa+YKR9sTwB0a+y7YOqZ6O/Rp9ndAuIiGgIM18wAgDjr8A/xj2FOkuS0S0Z+BwJwJjzjW4FERENYeYMRgBcfv3tSPx5GV6buAYvtF7Svmiembo7/HT5M8wXISKikDJlMLKyqAyri/cAsgVXX30D3ht9D25vWYrDIt7opg0sV/8BGH+F0a0gIqIhznwVWAFYZAmFRWUAALciIEsSNiozUdQ8HTPlL3Gb5e+4yPKfkF1/UFRilSzAxGuMbgUREZmAKYORJXPHAgAKi8qQm5WIknJ1HRkFMmJxEhfKoQ1EBgUHe4mIiCg8TDlMA6gBSUF+th6IAIAMBQ9H/AmhjBdOwY6VbVfhsEjo12yekDvrMqNbQEREJmHKnpHuzJS/RIpUG/Tzar0hkgRES00oiHgdDbBDEoAiBmjdkUueMroFRERkEqbtGQGAkvLjAACbRb0Nw1EftmvHoAmA2lPiySXsIe2Z8csZZ3MdGiIiChvTBiOri/egtKIWBfnZKHv8EqTHO3AUcSG5lraary/RaEJh61VY0nIXbmh5ACcHwsq+5xcY3QIiIjIRUwYj1z+/GYVFZSjIz8aSuWNx49pSVNY14rBzMg6JhLAlmWpByi3W9/APJQcCMlKkOuOrncSMNLoFRERkIqYMRjytLt6DkvIa5GYl4uoZGXi09ZawtyFJcmGm/GVYh4m6FT1SXb+HiIgoTEyZwLr+ttlYXbwHhUVlSItzIDcrETmZie21R2aiLCkPZ9W8F9Y2DUd9yIaJAnLp/7DiKhERhZUpgxHAu9ZIVX2jPsX32SlVOOuL8AYiAHAUcdiqjMNhkYARUq0xQzVRSay4SkREYWfqYZolc8fqM2kAYE5mHC47uMrv2SwC/S9iJgRwSCRiqzIOCmQ80j5MZMiMmjEXGHFVIiIyOVP2jKwsKoOlvbhHi1uBRZLgFgLufSWA7VCvvRJCAAoAi4R+ra0nhBp0PNp6M5T2uHCjMhN3ty3DY5bnES+d6vvJ+2LKd8N7PSIiIpg0GPFcm+bHeVlIrd+Bql3/h2yp0v9zdApCBAKPS2rgxIOt38dGZaa+TYaC48owlGA8LrNuC/CM/WB1AJnfCN/1iIiI2pkyGNHMk7fih6V3wNF2IqA74atmSCCBiCKAWjiR0/xbtHlceJ68FQ9H/CkkVWB79Z01TFwlIiJDmDIYcSsCz06pwqVfrAJa0a+hlkBp69E82Pr9LoHIcxGrwtcQT6kzgHOuNObaRERkeqYMRpbNzQJWfVv9JASBiBDdV1w9gkQ82npzl6GZhyP+pP7biGk0WRcYcFEiIiKVKYMR7C8BXIdCdvrOgchx4cTfxXnY2DZVnzXjKVQL9Plt9HnGXZuIiEzPnMHIyeqQX+J5fAdNbep0mc1iPLYo47sEIRpDK69aIoEx5xt3fSIiMj1TBiO/+OA4lof4GleJ95BkbQAALMGbOCQS8GjrLV7DMxpDK69mnMfEVSIiMpQpi559YZuAwyLBr8Jivvbp6TjR/pGABq/tI1CL5yJWYZ68tcsxW5VxqBXRYVugz8u51xlwUSIiog6mDEb++qPzsHP8fYDoJbDw8aLQ/9PzcZ0TUbXPH474X8hQAmhtiDlTjW4BERGZnCmDEQC4bOJINEU4e55MI3WdbCPp/+lKK3zW3YwYWQJSpBrMlL/02j5T/hIJ0sluZ+CETEwKV+glIiLDmTJnBLvfAl65BY5uujiU9p6N7mKD/sYMnRNWk2HQTJpp32O+CBERGa5PPSPPPvssMjIyYLfbMWvWLGzd2jUPwlN9fT0WL16MkSNHIjIyEtnZ2XjnnXf61OB+U9zAu/eip7GWvtb68PewbNtR/d/z5K1YHvG/fbtgfyVmGXNdIiIiDwH3jGzYsAEFBQVYs2YNZs2ahVWrVmHevHn46quvMHz48C77t7S0ID8/H8OHD8ff/vY3pKamYv/+/YiLiwtG+wMX4hojgLqIXndRnhDAnXgFrSln4csjDcZVXQWA6GTjrk1ERNQu4GCksLAQixYtwsKFCwEAa9aswdtvv40XX3wR9913X5f9X3zxRdTW1qKkpAQREREAgIyMjP61uj/CUGNEQvcL50mSGpAsqHkWiFB7ZwypuhoxjPkiREQ0IAQ0TNPS0oIdO3YgLy+v4wSyjLy8PGzevNnnMW+99RZmz56NxYsXIzk5GRMmTMATTzwBt9vd7XWam5vhcrm8PoImwN6AzoM5PU2/FQAaIpMhffO+Hods1ETWWqRIdcYEIgCQdBbzRYiIaEAIKBg5fvw43G43kpO9H+jJyck4cuSIz2MqKirwt7/9DW63G++88w4eeughPP300/jlL3/Z7XVWrFiB2NhY/SM9PT2QZvZsdC7gTEFvGR4KgFoRjSMiwa/TajHKTxpuwLtHovvVxLA4Y6zRLSAiIgIQhqm9iqJg+PDheP755zFt2jQsWLAADz74INasWdPtMffffz9OnDihf1RWVgavQbIFmP8UeisWIgN4OvJOzGlejRtaHkCdGAalhwXw3ELGnS33oGHMJXj509PBa2+oTFxgdAuIiIgABJgzkpSUBIvFgupq77yL6upqjBgxwucxI0eOREREBCyWjiGBs88+G0eOHEFLSwtsNluXYyIjIxEZGRlI0wIz7jLAkQA0dj+lttEai7+6zoWADAEZ8dKpHk9plRSMHJmC5+YcRcPRtUBrsBsdRJLMlXqJiGjACKhnxGazYdq0aSguLta3KYqC4uJizJ492+cxc+bMwddffw1F6ag6WlZWhpEjR/oMRMJif0mPgQgAONpOYGHaIQj4v5Dd8jP3Aq/cjOjWY/1vYyiNnMx8ESIiGjACHqYpKCjA2rVr8fLLL+OLL77AHXfcgVOnTumza2655Rbcf//9+v533HEHamtrcc8996CsrAxvv/02nnjiCSxevDh47yJQfs6oOXboAHKzEv1fyG7r8wD6XxQt5CZcZXQLiIiIdAFP7V2wYAGOHTuG5cuX48iRI5g8eTLeffddPan1wIEDkOWOGCc9PR0bN27EsmXLcO655yI1NRX33HMP7r333uC9i0D5OaPmjJRR+Ef5Mfx62ggon0uQhPCZMyLa5/FKYgCtOdOTmT8yugVEREQ6SQhD1ooNiMvlQmxsLE6cOAGn09n/EypuYNUEwHUYvhJZFQEck5LwcMuN+FX0esS0HO16jsEqKw+4+TWjW0FERCbg7/PbnAvl6TNqAF9L4UkS8GbrLDxnWz20AhEAOG+p0S0gIiLyYs5gBADGXwFc9yc02M7w3u5MgTT7biyK+GfYcz9C3kflTGXVVSIiGnDMuWqvZvwV+EPVWLi++hAzk1oxP2cycLoGePXWoRmlzX+Ss2iIiGjAGZLP3EAsvfhsxI2fi9v/k4nflJ8BbLy/94M6EVDzTPpLW7em2+v05xpnf1vtDSIiIhpgzN0z0m7JXLU0+sfFb+JuW+Ar+krZ84CyjUFpS3cVXnt7rVdnZPfjYCIiotAxfc+IZsncsfjeRHufjt3clAHpggeC26BgG32e0S0gIiLyicGIh/k5kwM+RgAYvf8VPP7faNSJYaFPQu2LyDhgzPlGt4KIiMgnBiMeflN+Bg6JhIDyPyQAKVIdHqx9APHSqV7zPgzx7d8wcZWIiAYsBiPtrn9+M55+rxyfjL8Pcj/n9PYrtyPYxl3OxFUiIhrQGIwAWF28B6UV6sJ55UkXAde8jFCvMNOMEK5K7Cmib3kwRERE4cJgBIBbESjIz0ZBfjYKi8qwuvocYFZo1295r21SSM/fYSB10xAREXXFqb0AluV7T3stLCrDVusZ+HMI7o4AcFgk4s9KHi7D1uBfoLPY9NBfg4iIqB/YM9LJkrljYbPIKGk7CzUiJqjnFkL9eLT1Zoy0NaqfB/UKPmRwFg0REQ1sDEY6WV28By1uBVaLFW+0Bb82Rz2iMfHC61Do3ABIYRhEGVDZtERERF0xGPGwungPCovKUJCfjbLHL0H81G8H9fySBCRIJzHx0KuA61B4sjlOHw/HVYiIiPqMwUg7z0BEKw9/9XeuQ4NteFDWnfHU+PVHwT1hT6KTw3ctIiKiPmAw0k6bUbPkwkxg70fAp38D9pcg5opfqYXMgnit+ZbtQTxbD6KSgNG54bkWERFRH3E2Tbtl+dnAZ2/i9BN5iGqr73jBmQIpdwnw2d8AV++L6An0nAfS2+tBde51rLxKREQDHoMRzf89BJSsRlTn7a5DQMlv8M64FfjT8ZP43kQ75o88DfHBExACXtVaFQBS+wyZ7vJGw5pOetal4bwaERFRnzAYAYDP3wRKVnf7soDA5C9+hfKL3sH8vHFYXbwHn7ecxq+j1yGm5ai+30nJiWjhAjAASo1FDOMQDRERDQrMGVHcwNs/7nEXdTG8GtyddUxPdD1n7ncRc9+XeG3iGixpuQtLIh7BSUUdEunr2jZBzZMdOZlDNERENCgwGNlf4v/015PVHYmuc8cCsgVXX30Dzpz7PRw91YYUqa5/i+wFMxoZPTuIJyMiIgodDtOcrPZ/32NfYtmZyT6HP4ajvs9NEELNMQlqfTJWXiUiokGCPSOB1OH496+Al78FrJoA7H5L3+xWBL45bYJfp/BVsyToRVIj44AxDEaIiGhwYDAyOhdwpnT7ss+RE9dhiFduxt/XrwGgTgs+FDsFh0RCtwXSBIAGYYcIR2rr7DuZL0JERIMGgxHZAsx/Ct3Of/EZXAgIAVywtxBQ3FhdvAdPv1eOT8bfB0nq2vuhfR4tNUEO/dJ4QGJW6K9BREQUJAxGAGD8FcB1f/LZQ9LdEIosATHN1XjtjVf0MvJ/cU3CHS1L0CA7vfattSThlLADIkzr1rEEPBERDSJMYNWMvwIYd5k6u+ZkNXDsSzVHpBeO5uMoyJ8OSbgxbd9a3Ba5ETGiQX/9pDQMJS2ZuMK6NZSt1zXLUYhkfREiIhpEGIx4ki0diZ97P/IrGLl09mSg8Qs0vr4YjghXl2GdaHEKl4cpEAGAyLQpzBchIqJBhcM0AFYWlWF18R7vjemzgKjEHjI8JMCZCpyuAV65GY42V097hs/onHBejYiIqN8YjACwyBIKi8pw49pSdcPut4DVk4DTNT4DCUWoJeJx8RPAxvvD2tbe3F0ag5VFZUY3g4iIyG8MRgAsmTsWuVmJKCmvwcrVvwZeuQWihxV6T9mTcXvLUrz2VaNfK/mGi0s48HbDmdiyt8bophAREfmNwUi7dYtyMCczDgtqnoUieqgGEpWEmJ9+hnPmfheOZj/LyIfJK20XQOGXlIiIBhk+uTz8JV9BilTb8/oyp48DlVuw5MJMXDpmYN2+98Q0AEBuVpLBLSEiIvIfZ9N4eLd0F+b7s+NX7wBv3Dbghmi2KuPgtFuxYdsBuBWBZfnZRjeLiIioVwxG2q0u3oOST5sw3+bHzqW/C/j8AoBktQNtTQEf64+PlAmQZAtcTW1wNbXB0q/lg4mIiMJnYI0zGGR18R4UFpXBkpGLQyKh54LtUt8Kur/TNhNbLZP71kA//NmdD3d73fmczAQsmTs2ZNciIiIKJgYjUFfdzc1KxMcV9er6MpDQuTqIHoAIpU91Qy6zbsXM5tJ+ttS308KKLcp4/fODdY24/vnNnOJLRESDAoMRqKvuzshIQEF+Ni679ofABfcDjjivfRpsyUDOnX06f6iXxvuXe4rXLJrKukaUVtRyqIaIiAYF5oy0W5afrRY7W3WFV2Jqo8WJ3zXlw3bez3B31rE+5YuEOiTYIbomqhbkZ3OohoiIBgX2jGh2vwW8ckuXGTIOdwMKIl7DZ+//Fb8pPwNwpoS8pyNQNSLW6/O0eAcAcJiGiIgGBQYjAKC4gXfvhe8BFbUA2sphL+Pr91/G3+tGAyL0Qy+BqEaC1+dVdY0oLCpjJVYiIhoUOEwDAPtLeq0ZEtVah2ds6hCNEGFe/K4HJ0QUtirjjG4GERFRn7FnBABOVge0uzRQIhEAFcpIloAnIqJBjU8xAIhODvslBYIz1FMhRnT7mjyQoiYiIqJuMBgBgNG5gCOh9/2CLQjRyOvKN3xuT4t3YEaGAe+JiIgoQMwZAYAv3wYaa8N4QQkS+p940iYkbFbO8fnaddPTObWXiIgGBQYj+kyaMAni+jR7leHd5osUFpXh1e2VUITANdPSuWgeERENWAxG/JhJ44sQfUxkDeJCeYeQ2OPrlXWNAMApvkRENKAxZyTAmTQAoLTXGTklIoLfngDUirgu2yKtXb+kuVlJYWgNERFR3zAY6cNMmiNIxD/H/w/KUq8JQYP8V4UzumxrblO8PmdZeCIiGugYjIzOBZwp6C6bVBHAIZGAG1oewJKWu3B9y89xXvMzKE+6CFPybwpvWzspUc6B027FrDEJSG8vAe8pJ1OdTcOy8ERENJAxGJEtwPyn4GuerQK1VsdjbbdiszIBbym52CbOgQIZJeXHgdG5aLANh2JAbfhGYcMh51S4mtpwqL5Rzw/xJEsSCovKYJElrC7ew6CEiIgGJAYjGh91RmRHAt4++yn80z1D3+YWArlZidhacRyP/e4FbDg91ZCKrJst07C/vgXp8Q6fgQgAlJTXIDcrEaUVNXpQQkRENNCYdjbNyvaH85KRX6ir9XbqGREA0FiLv/+nCjmyC9+baMf241Z8ftiFi/Z9gt9EbkLi8YaOOyjJgFAQLmubLoTTbu02ENGUlKszaSyyhA3bDjB/hIiIBhzTBiMWWcKqoi+x0PljxPgYopGg5os8a/sNLBDAV8B8ALD5Pp9oD0SK3ZNwofxfWKTQjd2cFJHYooyH0tQGCf4VcnUrAkdczVjw+83Y8KPZIWsbERFRoEwbjCyZOxap9dsR8+nRbvdRRzX8CyokqLVH5lr+E/IVfX/f9i292Jln6yKtcpfZNJ7cisDB+p57UoiIiMLN1DkjV2cHt06IJPW7wnuvmoUVz7q/4/u1NqXX/JU0H7NuiIiIjNSnYOTZZ59FRkYG7HY7Zs2aha1bt/p13Pr16yFJEq688sq+XDb4DFitt7/ec0+BJFm6fV300pHz+SEXZ9UQEdGAEnAwsmHDBhQUFODhhx/Gzp07MWnSJMybNw9Hj3Y/3AEA+/btw09+8hOcf/75fW5s0Bk4Nbev/qzkwy0EnPa+jbA1NLXhbzsqg9wqIiKivgs4GCksLMSiRYuwcOFCjB8/HmvWrEFUVBRefPHFbo9xu9246aab8OijjyIzM7NfDQ6GlUVlWF28B9e/sBU/OXlj+9DGwJ72KgRQJ6KxRRkPAHA1tfU5IBmdOCyYTSMiIuqXgIKRlpYW7NixA3l5eR0nkGXk5eVh8+bN3R73i1/8AsOHD8cPfvADv67T3NwMl8vl9RFMFlktBra14jhOIBp748+Dv4mqPRFBOYtvkgQUxXzHa5VeV1MbcrMSA8oDcdqtcA+mriAiIhryAgpGjh8/DrfbjeRk71yL5ORkHDlyxOcxmzZtwh/+8AesXbvW7+usWLECsbGx+kd6enogzezVkrljcffI3dgUuQTrbb9EZt2moJy3OYCF8/oSDlRHpHbZVll7GlV1jX73kmgVW5k3QkREA0VIZ9M0NDTg5ptvxtq1a5GU5P/Ksffffz9OnDihf1RWBjnHYfdb+HHd4xgp1Qb1tHapFZ+f8a2gntPTx9VWtSckrqMnpLI9EAlk2KayrpHVWImIaMAIKOkgKSkJFosF1dXVXturq6sxYsSILvuXl5dj3759uPzyy/VtiqLWwbBarfjqq6+QlZXV5bjIyEhERkYG0jT/KW7g3XsBiJBkiVQlzETi0RKMkGp7PH+g1z4unNiqjMPSzETkZCai0KNnw9Ve/MzV1ObXubiSLxERDSQB9YzYbDZMmzYNxcXF+jZFUVBcXIzZs7tW9Rw3bhw+/fRT7Nq1S/+44oorcOGFF2LXrl1BH37xy/4SwHUoZKefnzMVpxMnBi15RAj1488Jd2Np/jh8/PVxvLK9a08Rs0CIiGiwCng6RkFBAW699VZMnz4dM2fOxKpVq3Dq1CksXLgQAHDLLbcgNTUVK1asgN1ux4QJE7yOj4uLA4Au28PmZHXv+/RVVBJw8hiyaj+ECGK3ywvK5Vh6z88AAKUVNajqZT2a3mjBjFsRWJaf3e/2ERER9UfAwciCBQtw7NgxLF++HEeOHMHkyZPx7rvv6kmtBw4cgCwP4MKuARY6E+h9SEW0/+efowpw6T9/AvhxjL92Kll4vPUGNBbvAdCxEq+2AF6gJAk40diKwqIyFDAQISKiAUASoreancZzuVyIjY3FiRMn4HQ6+3cyxY2GJ8dhWMvRoGbvCgCFrdfgxxF/C+JZgdNSFCY0Pg8FMnIyE5CblYQlc8fi/Kfe73XF3p447VacPdLJRfOIiChk/H1+D+AujBCRLYi58ml9Vd5g+mHExuCeEECUOI1Z8m4AQGmFOvtndfGefgUigJrsyhk1REQ0EJgvGAGA8VdAyl0CSN5vvz99RBKAWDT0r13dyJU/R25WIgDgmff2eM2k6SubVYYiBOuNEBGR4fpWT3yw2/0WUPIbyINkDsrcka1oy0jA9n11aHErQTlnS5ui97QQEREZyXw9Ix51RjqTBuioxcnI4bDIUreBSEF+dp+TUXOz/C9GR0REFArm6xkJcZ2RUFhZkYLNX6vDKTmZCaiqa0RVXSPS4h24bnq6XsCspPx4QL0duVmJLH5GRESGM18wEso6IyHQLCz6Sr02i4z1t6mzX25cW9pleq8cQNdOpFXGjIwErC7ew3ojRERkKPMFIwHWGTHaTmUsFMiwSOowzfXPb4YsSXq9kY+/Pq7vW1JeA4sEuP1IhWluU7Dmw3I0tynIzUrEyqIyBiRERGQI8wUjo3MBRwJEY89rxwwUv3FfCQCYMSYeuVlJ+kya3Cx1jZqS8uNes2tmjOkYxulNc5uCSKuMkvIaHKg5zWCEiIgMYb4EVgChWiQvmASABmGHlPENAGqNkd++/7X+ekl5DQqLypCblYS0eHUV39ysRKy/bTZGJUT5fZ3mNjUp9mhDU/AaT0REFADzBSP7S4DGOqNb0SsJwGejbsZfbpujz5RpcSuwSJJecwQAfvv+16iqa9RLxGc/+M8+lYpPdtqD1XQiIqKAmC8YGUQJrLPHxHXZ5hYCJeU1KMjPhiypAYrNImPdohzYLHKf6pA47VZ8dO9FQWgxERFR4MyXMzKIEli37K3FluKOiqsSOqqjlFbU6OXsW9wKzn1kY5dAxCJLcPtR8358ihPnPfU+hBC4Zlo6c0eIiCiszBeMjM4FnCmA6zB8FT4bSFaVJ2PzHjUQSY93oLKuERZJ0ntHtOGakvIauJra4LRb4XRE6Mmr/gQiALxqk3C9GiIiCjfzDdPIFmD+UxjogQisdmwTan0RiyShsj0vxO2xgM6B2tNe+SGupjZU1TWiID/bK6/EX2nxDr8DGCIiomAxXzAySHwen4c2Ies9IblZiVi3KEefOSMBqKprhNNuRUF+NiweBc+eeW8PSsprYLMG9uWtqmtkzwgREYWd+YIRfW2age35g6OQk5nQXl9EnSmzungPNt17ESySpPfruJra8Or2SriF0AMSrfekpS2wZNaC/Gy88FEFJj78bjDfChERUY/MF4wMkrVpEkeORm5WEkorapGTmYiC/GwUFpXhxrWlXkM1AFBZ14j0eAfuyev7OjOyBDz7r6/hamrDyRZ3f5tPRETkN/MFI0Ge2qsIQAQ5zaJORCP+7AuwZO5YpMU7UFhUhle3V+o9JAC6rNJbWdeoz7pJbx/KCYQiOgqgpcUFfjwREVFfmW82TRCn9gqh9igE25ejb8LdeeOwuniPPjOmsq4Rle3/LsjPRmmF78JmNovcr9RciwTWHCEiorAyX8+INrV3ABICcAsJz7Z+C6vb64vkZCbAafeOGUsravQeEs/XtMX0tMTWzix+BE4zxiTg/Kfex5wni/v3ZoiIiPxkvmBEn9rbdwJq4CAFuVdEkgCLJNC2fwsKi8pQkJ+Ng3WNcDW1ee3nOZ13Qmqs/m/PXJIfnp+J1DjvEu/+rOb7yYF6VNY14vAJrlVDREThYb5gBADGXwFc8ECfD5cQ/EDE03DUAwBWFpXpQzO+pMc7UFJe4zNHpLCoDKMTh3XZ3lu7tbyR6Egrrn9+M1Z6rAhMREQUCuYMRgDgGz8BYkYa3QqfjiIOgHdZtkgfNUO0WTSdAxZtiKakvKbLcI2/ybaupjaUVtRiy97AF90jIiIKhCmDkZVFZVj9rwpg4rVGN6WLOhGNrcq4Ltubu6kZ4hmIxLQHHp7DOp2HeAKVm5XUr+OJiIh6Y77ZNFDXX/m8+M8QttUYaPVG/yJdCqWPMWKgRc56k5uViCVz+167hIiIyB+m7BlZcmEmfh29Luj1QfqrGRYUNl3R7etOu7XHNWe66z3pC6fdinWLcnDj2lIs+P3moJ2XiIioM1MGI9hfgpiWoyGpEdIfO91ju/SKaDkfTrsVrqY2r5k0oXSqxY0b15aipLwGB+u7T6IlIiLqL1MGI+9s3mV0E3zaLs4CAH3oSIKa8+G0WzE+xdmnlXj7yq0IPfA5XN/IuiNERBQypgxGGiMHZlJmiXIOAHUWjWclVW1mS0l5DXIyE3pdWTfYHT5uAcihnMtMRESmZspg5OrvXIejSITSTc6IEbkkDcKBQ86p+ud3XXSm1/oztvapvZ8cqIe7u4ZDrSMS7OZHWmWkxjtYc4SIiELClLNpVv+rArtbbsJzttU+K6mGuxNACOAp22Lsr29BblYicjITUVhUhtysRKTFO1BV14iWNgUSek9S9QykIq1yv5NatWuWVtT26zxERETdMWXPiFsRyJ82PuSVVP0hBPBC28V4q3UmYuxWPU9DW6G3qq4RuVmJkBBYj4cWiPgqlhZQ+zz+zZojREQUCqYMRpblZ+PqsRajmwFADYZOO9LgamrTcz0Ki8r0oKQgPxsHak97BQX+xE/NbQrS4x1Bm+5rs0g9Dg8RERH1lSmDEQD48JPdRjdBF9tUhfR4h1dAAqhJrKUVau+IJj3eAQH4XJW3s57WtQlUi1vgtZ1VzBshIqKgM2Uwsrp4D17/qtnoZujkhDFIT4gC4D0s0uJWuiyEd+30dD1w6SzUI05VdY14fWcVi6AREVFQmTIYcSsCSSkZRjcDgDpt9qXmi7oUM/MMLBQh9ICk0GMl37R4h1cPiRbI5GQmhKStTrsVlXWNvU4tJiIiCoTpgpGVRWWwyBJisr+BRmusoW0RAvhD26XYe8KtbyvIz9aHYjQH65v0FXo1EoBRCVFwNbV5bQdCVxNEK8B2oPY0e0eIiChoTBeMWGQJhUVlGFv3bzjaThjalv3KGXjC/V0A6oq7OZkJKK2o8cr10AKNSKvstV0AKCmv0XsrPPcNZcl4V1Mbquoa8cmBupBdg4iIzMV0dUaWzB0LSbgx5aO7IKTe8yx81SEJlj8p8/R/NzS14WBdY5dApLKuscf6IlruSHq8A1dNTcNrO6u8El5DJdlpD/k1iIjIHEzXMwIAd2cdQ4pU61fCZyjrkNQIJ4COHo3Os1+0QMSfCbWVdY147oOvuwQiocjviLTKuGpqGlYX7+HsGiIi6jfT9YwAAE5WG90CAEDiyNHAwa5Bh1bwDPC/0JnNIqHF3XXvUNQGaW5T8NLHe+FqagtZsiwREZmHKXtGEJ1sdAvQKtkQf/YFANRAQqBjyKinnI/u6ot0DkT8qUPSV5LUMTzEqqxERNRfpgxGflN+Bo6LGEPbUGsfhbvzxiE3KxEtbgGn3YqUOHuXmTGeLLKkBwEWj/Gj3KzELsGHrzokwaKtf6Mt5MehGiIi6g/TBSOri/fg6ffK8eeEJYa2I3nq5VhdvAcl5TVIay9idqh9Cm933IoatKTFO+AWQu9J2bG/Tp/i292wSX/XqOlMAlBSfhyF7VOliYiI+sp0wYhbEcjNSsSqw+fgq6R84xqSdSHcikBBfjaum54OwL/8EG1qbUF+NpbMHasviOe0W3HV1DTsPuTyeVyw1qjRCAClFbVqYMQ1a4iIqB9Ml8C6rH1oYXXxHlxSdCs+j94Ke9uJkJdS9xLpBDLOw7JMi96WQGgBwLZ9tWhuU/Thm2cCPE8wVNU14rWdVQA67i0REVEgTNczAgALfr8ZpRU1WJo/DktPL4QQHXkQYTHlu4DcEYgUFpWhID8buVmJPnfX8kjSPPJJtu2r1det8dUzYbOEL7yqqmvEb9/fw6qsRETUJ6YMRiyyhJLyGry6vRIblZm4o3UpmmALXwPOuhSAdyACqENIFh+FTdITopAapxYZS493oKquESXlNcjNSlSnBXc6xCL7nuYbSm4BHKwPfbE1IiIaekwZjKxblKM/yAHgX1IOJjU/j3A8v0+IKNxUpN52LWcEgJ4I6vbRRVNSXoOG9lwRzwRXRQhYZKlLr07nnpL0eAfCkWM6KiGKM2uIiChgpgxGACAns2NIpMWtYKr8NUI5sqGFBy/F34OPK+qxuniPnmNRWFTmVegM6Bia0f7vOVU3Pd6BgvxslFbU+pU8WlnXiFDnmGrt37I3dOviEBHR0GTKYEQbHtGmwcpQkCt/FvoLn3UpxDlXITcrEYVFZch+8J9egYhWK6QgPxsf3XsR0jzWptFIUIOLwl56ICyyhLS47muWBJPNKuuB1La9tZj48LthuS4REQ0NpgxGtOGRg3WNmCdvxabIJVhifTOk13zfPQmrh/9Cz1exSBJa3ApsFhkzMhKQm5UIV1MbcrMSsWTuWAAdCauenRr+dHBEWmW4FeFzXZ1Q1ARp8Zg27BZAQ7ObAQkREfnNlMHIsvxslFbUYPyJD7HGtgojUBvya36sTERJ+XEsmTsWuVmJetGyFreC13ZWoaS8BgX52Vi3KAeA2nvTedG7nqqzarQVfp12q55f4pkUG66aIFIoVxgkIqIhxZTByI1rS1FafgxP2P8MCQhLcmeNcKK0ohY3ri3VZ8JoYUFVXaNXj4g2jNQ5GOmpOqtGQA1atBwTm1WGW/iepeOPvqxxE2mV8cPzM5nMSkREfjFlMOJWBBamHUKicjxs1/zGtHMBQA9ElE5TYErKa7C6eI8eiABATmYCCvKzuy3x7hleOO1WFORn63kmafEOpMc79CGUkXH2buuYdEcrphZIKflIq4zFF56JwqIyvPTxXkx8ZCODEiIi6pEkRFjLffWJy+VCbGwsTpw4AafTGZyTrrsOKNsYnHP1xpEI/HQPrn9hK0orvIeEbBYZLW41YJAlQBFqEJKblYQlc8didfEevLK9sksviSetJLx2Ls+ZOZ7/dtqtAS+gZ5GlgIZ20trroHgeF2O34tNH5gV0XSIiGvz8fX6bsmcEn78ZtkBECODt0T8FZAtys5K8XivIz0bZ45foPRaKUIOT9bfN1gMRX8M1nS2+8Ew9ELFZZKxblIOczATkZCboNVUA7+nB/g7aBJpjUtVehM3zOGaPEBFRT/oUjDz77LPIyMiA3W7HrFmzsHXr1m73Xbt2Lc4//3zEx8cjPj4eeXl5Pe4fcoob+H93he1yh2MmYPGuUfo0Xl861zzpPFwDoNshFm2asBaItLgVXP/8ZuRmJWHWmESsLt7jdX5NTyGGP4myPenc1yYADtUQEVG3As5O3LBhAwoKCrBmzRrMmjULq1atwrx58/DVV19h+PDhXfb/4IMPcMMNNyA3Nxd2ux1PPfUULr74Ynz++edITU0NypsIyL5NQEtD2C738eg7YamR9KEYbQgGUIudlVbU6DNptH9rQYg25FGQnw23InCg9rRXL0lavEMfgkmLd+DqqWmwyFL7eWv149O6CS66G4LxJ1E2EA1NbXjug69RWlGDDT+aHdRzExHR4Bdwz0hhYSEWLVqEhQsXYvz48VizZg2ioqLw4osv+tz/L3/5C+68805MnjwZ48aNwwsvvABFUVBcXNzvxvfJ3g/DchkBoFZE4/HPE7xKvGu5INoUXy2hdcncsVi3KAc2S8eXJK290uqSuWNhkSU9EPE17KHlaQDQE161/bsb5gnXNF8AaHELfFJZzx4SIiLqIqBgpKWlBTt27EBeXl7HCWQZeXl52LzZvxVbT58+jdbWViQk+J4hEnL1VWG5jBDAY9KPUN+k9ojkZiWiID8bhUVlWF28BwD0YmduRehDM9pwi6eVRWUoKT+un8dzSrA2pKIFIGpF1yR9Zo2/Ap1p0xctbQpe3FQR8usQEdHgEtAwzfHjx+F2u5GcnOy1PTk5GV9++aVf57j33nuRkpLiFdB01tzcjObmZv1zl8sVSDN7FhueoaGVbVfjDfc0ANB7NzTaMIy2No1nfoi2r7attKIWuVmJKK2o7fIaoA6p5GYlIiczUV8BWLuWFuR07v/Qhm80TrvVa12cUGpodmPB7zdzuIaIiHRhnU3z5JNPYv369XjjjTdgt9u73W/FihWIjY3VP9LT04PXiKjQ9sgIARwSCXjW/R0Aao+FZyCyZO5YPQfEXwdqT3sFGUvmjvXqPdlSUdslEAHUnBBfV7luerpX7ZLOs2xCuWAgAHxyoA4Lfu9fTxoREQ19AfWMJCUlwWKxoLq62mt7dXU1RowY0eOxv/71r/Hkk0/ivffew7nnntvjvvfffz8KCgr0z10uV/ACkvrK4JzHBy015NHWW6C0x3myj8qnngED0LFWDqD2mvz2/a/R4la8kloBdbhGywvREmIB6BVWPQMcrfek82rA2jUK8rOxc3+913kANdfFHeJUkha3wPZ9tVhZVKb3DhERkXkF1DNis9kwbdo0r+RTLRl19uzuu93/53/+B4899hjeffddTJ8+vdfrREZGwul0en0EheIG/vPX4JzLh5Nw4PbWpdiozNS3aZVVe7KsvUfDrQivBfS0pFYt1+S1nVUoLCrzmm2jcQuBbfvUgmpaIOI526YgP1sPeADo04G1UCk3KzEseSMd7QW2tQckRERkbgFP7S0oKMCtt96K6dOnY+bMmVi1ahVOnTqFhQsXAgBuueUWpKamYsWKFQCAp556CsuXL8e6deuQkZGBI0eOAACio6MRHR0dxLfih/0lQHMQ8088NAgHpjT/Hm3ttzS9vSw70JEjovWILPj9ZlhkSV8UT7NtX60+88azXoimc55H51kyWuCjJbtqtOGble09JdoUYZtFQotb6EFLTKSl2/cXaCXW3mh5Kp8ePAEA7CEhIjKxgIORBQsW4NixY1i+fDmOHDmCyZMn491339WTWg8cOABZ7uhwee6559DS0oJrrrnG6zwPP/wwHnnkkf61PlANh0N26ufbLtUDEZtFxkf3XqQvigcAr2yvhFsRWJafDYssoaS8BjeuLfVapddzOEUbXtHKx+dkJmBLRa2eA+JqaoOEjuJlafEOpMU7vBJh3YqARZb0IEi7rnb+AzWnUVXfCFdjKwA1ubQ7wQxEJKkjT6WhqQ1/21HJYISIyMTMtTbN5meBjQ8Er2HtTltjMd/6Bxyob9G3ec580daW8Uww9Vy9V5sJA8Drc4sk6T0lWk+LZwACwGsfrQKrVgANgFcwAgDXP79Zn6EzIyMBr++sQmVdo76+jREkAClxdnx831xDrk9ERKHh7/M78PXhB7NhZwT9lALA751LcOBQi1cgoVVXVYRAVV0jcjIT9Km2Wi6IFpB4VlHVekq0JFaLJGFknN0rEPEMHNxCIDcrEdv31enJqJ4F0DxLyrsVgfW3zdavu7m8BgJ9W0AvmASAIyeaOOWXiMikzNUzsvcj4OVvBa9htmisjF6GZw6drfdcpMbZMTpxWJcZLJ4zYzxX5c24722vfQCgpPw4SitqvVb01XpAOveM+BJplXH7N7Pah2WOew315GYlobCoTD+PRZJw10Vn4plekmzDRZaAuy8ay2EbIqIhwN/nt7mCEcUN/HoscLp/Bb5ahBU7Ry1EzsKncP0LW7H7kKvHngXPabueU209k1wB7x4KbUhHG1YBfAckktR1YTqgo/fE83racdo27XOje0Y6i4m04NNH5xvdDCIi6id/n99hLXpmONkCXFrY58MVAaxs/Q7GNf8R1++5EDf+YRtKK2q9HuQWH3VFXtleqdf20KbqAh0L0hXkZ/sMRADvOiUj4+xIj3foPRqA70AEgD6M0zkQ0bZpZeUtsjSgAhFATaSd86RBaxcREVHYmSsYAYAJVwK5SwI6RAj1487WJXjGfS0UyD5LqEuA16J4Gm0NGW1GSmmF93G/ff9ruJraEGlVvxyvblcLs3kmueZmJaKqrlEv/+4Wwu+1ZzzXs9HkZCbCabeGdbG8QBysb2JAQkRkEuYLRgDg4seAa19Gs2WYX7vXIRq3ty7Fu0pHXRBfvQk9PdYr6xr1Il9abQ2NVuRs8YVnwmm3orKuEVn3v6MHIusW5SAns6MgmSLUiq3alNzelJTX6AvqaQFPYVHZgOsR6YwBCRGROZgzGAGAc67E87Pfxw0tD6AscS4Q4R2YNAg73m6biRtaHsD05jVoGHNJvyuUHqg5jdd3VqGhPQjwPF+LW0FhURl+eH6mnhtikToKo23YdgBOuzr5qbRCDWpcTW36Nl88h4yunZ6OtHhHwNN3teDFKEdczVzHhohoiDNXAms7bY0XzxVw52TGwb2vBMNRj6OIw1ZlnL6+jBYc+FrnpXMSaqAK8rPx6vZK/Rza+TyvuW5RDs5/6n1Utg/3HKpv8jkc1FlOZgJkybvQWbBX583JTMDO/XVoCfGCNjF2K74/Zwxn2RARDSKcTdMDLQDREkW13Axf02a16bU9BR09vSZLwNK8bK8ptp60a6bHO3CisRWupjakxzvw0b0X4dxHNnpVWu3pOrlZiVCE6HINz9on/Zk1MxBm3DAgISIaXDibpgdL5o7VF5/rHIh0ngszPSMeuVmJXYIAz/166hnR8kM915jx5Bn8aIFIarwD1z+/WX/4a/ukJ0T5PIfTbtWHc3IyE/T8EADtRdWOBxxMdB6e6XxsT8NDodLQ1IZnivdw2IaIaIgxZTACdAQknXtEtP8X5GfrwxqKEPrDWeq0nz88V9rVzttZZV0jnHYrrp2ejtKKWr1ku6eS8pouQUB6vAOupjbcuLa0/ZgkfHTvRV7Hdp5+3BMtkOktt8TIXpKte2uZ2EpENISYNhgB1IDEIkk+e0QA6DVBSitq0dymDtXMykzo8/W0AKG7vA1XU5vXGjXabJrO+3hKT4jS9/WsT+JZz6Sz9B6mBKfGO3pM1DU6oRVoLx/vamZAQkQ0RJgyZ0RLYNXKs3smiwIdwYJnCfe0eAeum56u55po233p7XVADTY+O3iixx4Gz4BkS0WtV9Kq5wJ52jU7r9Kr5cb0dn5AzW3pa8kRf0rUh4oEYOaYBK5pQ0Q0AHGhvB5YZMmrB2JGRgK27avtMutk1XtlUIS6gN2mey/CSo+k186Fy/RzSxI+/vo4LLLUY8Lpjv11vQ6FaIGIr6BGm/qrBSSlFTVeq/8C6DEQkdrP33nGTXd6yjkxMpoVAL447MLKojImthIRDVKmDEY8acXEPB/GOZneq+BeNz0dAPSHnZb0Cnj3UGgVWL843LFWTXdDM/7W+9COs1lltLR1zOrR/q/1ShyoOa0nsXoGIVoQ0TmY0AIIWZKQk9n7lF+jZ9L0xNXUhtXFe/DcB19jyqh49pIQEQ0yxicAGMCtqBVMtRk1z7zXsWKt2hNxXA9EAHVtGUAd3jnvqfe9elBmjInX9/O16Fxl7WmUlNf0mmuR3kOuhgSgpX3ROy05tbKuERZZ0qf8VtU3YnXxHiyZO9YryVWbodNdMFFSXqMv4BcsFl8JOCEmALS4BbbvY3IrEdFgY8pgZFl7fkVJ+XGvng1tSESr1aGt/VJV14gb15bCIkuo8ihOpu3r+SD3fOhrpd0BtSfEInf/lK6sa+y2d0JLsF23KAeri/fo5d2jbBb92NysRH2qcueF+65t79nRPvclmMXQQlz/rNdrH6xvwpj73uYUYCKiQcKUwQiA9gTWWj33Auj6QK6qa/Sa4vvq9krktM+mqaxrRFp7b4bnyriAWiitID8bZ4/0TtbxZ1E67RydgwYBdXjIrQi9ZyTWEaG/riXier4HWVKHjUrKj6MgPxs2iwy3EJAl+OwJMaBDI2QEgE8O1GFlD3kzREQ0MJg2GPHkOZPGU25WIpbMHYt1i3L0Xo5te+v016s8ejPS4x0Q6KjYCqDHnpDuiPbr3pM31mu7tkrw6zur9MRWz14a7X14yslMRE5mQnvdkhq9XYqAXl+l87W1aw0FLW6Blz7eizlPFjMoISIawEw5tdezHDzge9aJNnzjuY+WLGqRJFhkSX+4a9u1mTaeU2pzsxKxv+YUDtY39dgmX7NV1KJsHWXkPavEakGLrxLwQEfp+M6zcTrP8OluWm5fyr9bJGOHaHri+X7umTuWM2+IiMKA5eB7oCWwLpk7Vi981mWf9t4SrXpqWnvPhxakeCa4akmkWn2PztN+XY2tvbZpfIqzfR0Z76JqWhn5zlVitam5cjc5IL4CEZtV1iu9amZ79AilxzsQE6nmoUxIje21zZ0N1EAE8M7lWf3+Hia5EhENIKYMRpZ5VCpdXbyny/CGr+m4Wv6I5/CJBHjlkNy4thQA9LwOLRiIjbJ1aUOaRxVUNfckCTMyErD+ttkoyM9GTmYC3IrAkrljkZuV2KX3QkCthtpT4mnn11raFEiAPtVXS8LNyUxAQX42KusaEdfe1mCv7juQCAEcqm9C1gPvYOLD73IIh4jIYKYcptF0rlDqOYThq8Ip0DGk4zlU4llsTKvUqu1bkJ+NV7dX9riYnq9y7p3baJElrwRYf4ZRuhuC6by9ID8bH3993Ks+illxCIeIKHg4TNODle1TYLUAIiczATmZCbh2errPZNBIq6xPBQbU4GHvk5fpPQvaNkDtQdGGdrSy8J2HRjx59k50pgUi2vU1Wu+GrwEaz+t0F2VqvSqeGIioninegzH3v43sB98xuilERKZhymDEIkv6ejMF+dlYf9ts5GYlobCozKsHQ5bUYKG5TcFLH+9FaUUtcjIT9Hof2vTewqIyKD5m5Ly6vVJfabe7B31l+/CPLKkl6lcXqwXYVhfvwcdfH0da+/U9dV5hWH9fkuR3QNHcpkBLNyksKvM6rps0FNMQQp2Jc96T73MIh4goDIbGHM4AaUMhPa3dog3TeJZeB9SE0uuf34zSilqvoZuqukZ9qq1GO0Z70HcXlLzwUQVcTW16YKN97jl91x+dc188RVrlrkGNj9197WdWVfWNeKZ4D54p3oOczATMGpPIIRwiohAwdc6IFlRotUHS4h0+H/6es1I864j4msrbm+4CkvR4B65tXxW4u2t3dz6nIyKgoIX6J8ZuhdNuxTXT0hmcEBH1gKv2+iE3KwmlFbVocSuwSJI+Y+aZ9zpm2GhVTXOzOhbPs1lk3HXRmX4HIJ56Gq7pPCQgAThQe7rX8w20XI/OybZ9NVB7aRqa2tDQ1Kb3mkgAUuLs+Pi+uUY3jYhoUDJtMLKyqAzb9nUUC9PqipRW1MAthD7jRCsXr7TXFuncM+IZkHQ3e6WzzjN1NL6m72o9Hn0pQuYvf4IHrZKrP/oTiHgGIAMxEPFFoGM9HLUKr4Q7LjiTvSZERH4y7TDNjWtL9R4Pz6m5Gl/DIzGRFkxMi9P39+wtCbbeApvOlVRDLVi9HWZkkYDpGQnY8KPZRjeFiCisOEzTA23lWy3gyMlM9Oqt0NaByclMwMG6Rv2hL3ksROc5rTcU/AlE+tNb0l1+jCfP87sVwYCkj9wC2LK3Fhn3vQ1Ana0kAbj7ItY0ISICTNozsrK9iFhPyafp8Q6kxjv0oQnt4d1dHkNvD+pgD7MEmk+hr6sTQEChFXDrS24MBcYiSxBCYAZ7UIhoCPH3+W3KYMSTNqMGUGfKTB0d5zM3Qitg1p/eEJtFQqsiukyp9TfXpLtztrhFj8M2uVmJcCsCuyrruwQwnj1C+kJ8Use039ysROzYXzdo8jeGIosEjIhlgiwRDT4MRnqg9YwAXcu7axVMA+nF6C4hdSDRgpXOK+t212MTyoRZCg6bRcKUUfHsSSGiAYs5Iz2wyJK+Ei8QeA5G5/0CCUS0noxg0s7ZW6VXX70nWln5zi0KZiCSk5mA3YdYbj7YWtzCKxelM87qIaLBwnQ9I1qviDbkkpuViHWLcnD+U+8HPDul80Pc33yMGLtVX1+mr5x2K061uPXrBaMmh9NuRVObgpYgD8mwl2XgkCXAKks4IyYSDU1tEAC+P2cMAxYiCgkO03RDS1jNyUyA3D47JtzDLP2dlttb4NHXHJRgTBceqIXKKDAWCYiKtOJ0c5s+rMeeFiIKFIORHmgBSSjqhPjTCxDMngLPImzBuIZn8mpfdXdtBirm4RkQM7eFyLwYjPRCK3oWbGnxDhxraA7LQ7c/s3CIBhObRcLU0fGYNSYR2/bVwq0IBjdEgwATWHuRk+ldYbW/vRXp8Q6kJ0QFFOD4U3isJ56BCHsdaChrcQuUVtR6TbvvLnG3L5x2q55Do/EMgDg0RRRapuwZ8Sx0FszeBZtFQqtbGNZb0ZeASBOq6qqhDJKCMaRENFTYLDKmjIrDhh/NxuriPXArgkEUGY49Iz0oKT8OQC1ktmTuWH2Bs77wfNgGe8quL53rhHi6amoaLLKalBtokOVWRL8DM18BTX8Cke56q2LsVjS3usNyv4kGixa30mWq9zPFewxskXn5+l2q9bRt3VsLITpeT493ICXOgTlnJuGV7ZU40dgKp92K9IQoU/XKma5nROsV0QKR7srBD0S99V5oPwD9Hf4ZKIbK+yAiGmxS44JT9dnf57fc7ysNMm5FICczAUBHYJLeXvzMaFIvr2uBiEWW9EqxnrQwRXuA+9pnMGEgQkRkjIYw14Ya3E+rPliWn+3VG5KblQhFiAFRX8PfLiq3IuBqauuxLohFllhojIiI+iTcQyamC0YA9WGuDQFoyZ4x7dn0fWXETJaeStiHIhmViIjMobee+mAz3TANoPYaVNU1IjcrUd8W7i6pYHE1tQ364RgiIhpYxqcEp6aXv0z5FFsydywADJrEVU++ekI4HENERIOZKXtGVhaVYcO2A/3qUTCqN4KBBxERhVpuVlJYr2fKYMQiSzhY39SvBzuDAiIiGqpe3V4Z1uuZMhghIiKi7tU3tob1eqYLRlYWlaGk/DjSBkhtESIiooHmVDPrjISURZa8FtsiIiIib+GuDmG6npGPvz4OixzuGdRERESDR6Q1vOGB6YKRUK1OS0RENFScERMZ1uuZLhhZtyhnwKxFQ0RENNA47VZcPTUtrNc0XTACAFdNTYOFIzVERERdjE9xYll+dlivacpgxCJLcHOkhoiIqIvdh1xhv2afgpFnn30WGRkZsNvtmDVrFrZu3drj/q+++irGjRsHu92OiRMn4p133ulTY4NBW7E33Mk5REREg4GrqQ03ri0N6zUDfiJv2LABBQUFePjhh7Fz505MmjQJ8+bNw9GjR33uX1JSghtuuAE/+MEP8Mknn+DKK6/ElVdeic8++6zfje8LtyLgtFsNWWVX4ysQSot3GBYg9TS7iIvwERGZz6cHT4T1egE//QoLC7Fo0SIsXLgQ48ePx5o1axAVFYUXX3zR5/7PPPMM5s+fj5/+9Kc4++yz8dhjj2Hq1Kn47W9/2+/G98W2fbVdSrnnZCZ0GwgEO0DQAiGbj6SVzgFSQX62z+vbrLLPICHGbvVaidhT56Rd7era7CKn3QpfMcmE1Fif55P6kHPjtFv7lavDNJ/g6cvXj4jMI9x/iAb0pG1pacGOHTuQl5fXcQJZRl5eHjZv3uzzmM2bN3vtDwDz5s3rdn8AaG5uhsvl8voIFrcikBbvQE5mAnIyE1CQn431t83GV7+8BGnxDsTYrYiJtMAiS0iLd+D2b2YhJzMBuVmJuGfuWORmJUKWAFlSv1gxdivS4tTzpcbZEWmVYbPKiIm06tfRzhdjt2LhnDEoyM/GlFHxKMjPRm5WIlLj7EiNc+gBSqRVRk5mApbMHYvJ6XFeAYnNKuOOb2Zh4ZwxsFllWDzaMX6kE+sW5ejVZS0SMGuM+h4/uvciFLQnJDntVqTE2ZGblYjpo9V2/PeRebj7orEoyM9GapwdafEOFORnw60I9T3YrXrAYrPKWHLRWKTFO/Q2aG2PibSgID8bOZkJXgFXblYi/vvIPEzPSNADEptFQkyk2vbOwVJuViIK8rO9ziHa35Mm0iojpv0HpvMPjuzRJv3etX8eqjozuVmJens8eQZ+vni202m36vcvJtLS5bi0eIcecHb3LvwJoJflZaMgP7tLUGKzykGZbaa9J1+/0ILxS66n92hkoJWbleizunM4ez2D8f09GGsx2SySX3/s+Pv9MdiG8iOtcre/E7r7evq6FzF2K3IyE3DNtPTgNc4PkhDC71TOQ4cOITU1FSUlJZg9e7a+/Wc/+xk+/PBDbNmypcsxNpsNL7/8Mm644QZ92+9+9zs8+uijqK6u9nmdRx55BI8++miX7SdOnIDT6fS3uYPOyqIyWGQJS+aO7fLa6uI9cCvCrwznYJ0nEIFc09e+K4vKsGVvDarqGpEW78D622Z7Hf/KtkpAAlLjHJhzZpLXsauL9+jF7GZkJHi9t5VFZXhtZxXS4h2YNSbR67qri/dg7b8rEBsVgbR4B6pqG3HdjHQsmTsWK4vK8NLHeyEEEBsVAaDj2gBQUn4clbWnIUkSUuMcXtdeWVSGbftq4VaE3vM058wkuBWBlz7eC6cjAtdNT/d63SJLeGV7JVLjHNjwo9le9+njr49j92EXJqbGYt2iHK/3/MVhF042t2FYpBXnpDiRm5Wkb3c6IvQHY1VtIwQEZEmCIgSumZau36frn9+MbXtrMSzSiv8+Mk//WgBAVV0jDtY1qu8/3oFRCVHYX3MKrqY2xDoicKKxFc2tbkRaLTgn1YnK2tNoaGrDwjlj9Pe2ZW+Nvj3GbsU109Lx2o4qPZo6VN+ICIuMyelxOFjfiMP1jRAAUuIccDW2oqnVDXuEBQJAQ1MbLLKEuy48E6UVNer7tEdAQOBQfRMiLDLKHr8EEx/ZiOY2BVNHxUGWJByoPY0Tp1swMS0OAPBpVT0gSYi1R+C6Gel4ZXslIIBN912E65/fjNKKWlgkYHpGAg7WN+LE6RbERtkAAIdPNCEqQkasw4ajDU3qb3QhMNxpx9VT07AsPxsTH9mIljYFSdE2SJIEIQRGJw7DjIwEPPdhOSAEpmckYEZGAl7bWYWjriYkO+2ob2xFQ1MbbBYJd1xwJl7bWYWq9vvvtFvhamqDLAFL87JRUn4cWypqIaA+QE41t8FqkVH2y0sw58liHD/ZAptFwjmpsdh9SP0+SYlz4FhDM1rdClLjHEhp/97V7g8kCRKAs0c6MedM9Xupqk792on2NqQnRKGy9jRkSUK1S33/U0fF4fODJ9DcpsAeYUFTqxtuRWBkrANXT0vD6zur1LVOhMDJZrd+rhi7Vb8/x0+2wGaV0dymINIiQZLUP+BGJw7D/ppTSE+I0leSLSk/js8PnkBclA2p8Q5U1TXi6qlp+NuOSjS093w3tbohSRLOiInE1VPTsObDcgghcMcFZ2Lbvlps31eL4TF2pCU48Hl7wmZs+88moP7h+uLHe9HSpqjtalUQaZUAScLE1FiUlKs/IwX52diw7QAamtrgamqDBPUPJ+01ANiw7QAO1jcBUP+gEgBmjkmAEMDWverXUJaA6EgrnI4IpMY58MVhl34+7Y8c7edq7b/LcbpVgaII/V5qP7uri/dAQA1OWtoURLf/obp9f51eYys1zo4FM0bBrQj9XkRGWHBOihOzxiQG9fngcrkQGxvb6/N7QAYjzc3NaG5u9noz6enpQz4YISIiGkr8DUYC6i9NSkqCxWLpEkRUV1djxIgRPo8ZMWJEQPsDQGRkJCIjw1v9jYiIiIwR0KCYzWbDtGnTUFxcrG9TFAXFxcVePSWeZs+e7bU/ABQVFXW7PxEREZlLwJlkBQUFuPXWWzF9+nTMnDkTq1atwqlTp7Bw4UIAwC233ILU1FSsWLECAHDPPffgm9/8Jp5++mlcdtllWL9+PbZv347nn38+uO+EiIiIBqWAg5EFCxbg2LFjWL58OY4cOYLJkyfj3XffRXJyMgDgwIEDkOWODpfc3FysW7cOP//5z/HAAw9g7NixePPNNzFhwoTgvQsiIiIatAJKYDWKvwkwRERENHD4+/weXBOpiYiIaMhhMEJERESGYjBCREREhmIwQkRERIZiMEJERESGGhTrw2sTfoK5YB4RERGFlvbc7m3i7qAIRhoaGgAA6enhXUWQiIiI+q+hoQGxsbHdvj4o6owoioJDhw4hJiYGUhDXB9cW4KusrGT9khDifQ4f3uvw4H0OD97n8AjlfRZCoKGhASkpKV4FUTsbFD0jsiwjLS0tZOd3Op38Rg8D3ufw4b0OD97n8OB9Do9Q3eeeekQ0TGAlIiIiQzEYISIiIkOZOhiJjIzEww8/jMjISKObMqTxPocP73V48D6HB+9zeAyE+zwoEliJiIho6DJ1zwgREREZj8EIERERGYrBCBERERmKwQgREREZytTByLPPPouMjAzY7XbMmjULW7duNbpJg9qKFSswY8YMxMTEYPjw4bjyyivx1Vdfee3T1NSExYsXIzExEdHR0bj66qtRXV1tUIuHhieffBKSJGHp0qX6Nt7n4Dh48CC++93vIjExEQ6HAxMnTsT27dv114UQWL58OUaOHAmHw4G8vDzs2bPHwBYPPm63Gw899BDGjBkDh8OBrKwsPPbYY15rmfA+982///1vXH755UhJSYEkSXjzzTe9XvfnvtbW1uKmm26C0+lEXFwcfvCDH+DkyZPBb6wwqfXr1wubzSZefPFF8fnnn4tFixaJuLg4UV1dbXTTBq158+aJl156SXz22Wdi165d4tJLLxWjRo0SJ0+e1Pe5/fbbRXp6uiguLhbbt28XOTk5Ijc318BWD25bt24VGRkZ4txzzxX33HOPvp33uf9qa2vF6NGjxfe+9z2xZcsWUVFRITZu3Ci+/vprfZ8nn3xSxMbGijfffFP85z//EVdccYUYM2aMaGxsNLDlg8vjjz8uEhMTxT/+8Q+xd+9e8eqrr4ro6GjxzDPP6PvwPvfNO++8Ix588EHx+uuvCwDijTfe8Hrdn/s6f/58MWnSJFFaWio++ugjceaZZ4obbrgh6G01bTAyc+ZMsXjxYv1zt9stUlJSxIoVKwxs1dBy9OhRAUB8+OGHQggh6uvrRUREhHj11Vf1fb744gsBQGzevNmoZg5aDQ0NYuzYsaKoqEh885vf1IMR3ufguPfee8V5553X7euKoogRI0aIX/3qV/q2+vp6ERkZKf7617+Go4lDwmWXXSa+//3ve2276qqrxE033SSE4H0Ols7BiD/3dffu3QKA2LZtm77PP//5TyFJkjh48GBQ22fKYZqWlhbs2LEDeXl5+jZZlpGXl4fNmzcb2LKh5cSJEwCAhIQEAMCOHTvQ2trqdd/HjRuHUaNG8b73weLFi3HZZZd53U+A9zlY3nrrLUyfPh3XXnsthg8fjilTpmDt2rX663v37sWRI0e87nNsbCxmzZrF+xyA3NxcFBcXo6ysDADwn//8B5s2bcIll1wCgPc5VPy5r5s3b0ZcXBymT5+u75OXlwdZlrFly5agtmdQLJQXbMePH4fb7UZycrLX9uTkZHz55ZcGtWpoURQFS5cuxZw5czBhwgQAwJEjR2Cz2RAXF+e1b3JyMo4cOWJAKwev9evXY+fOndi2bVuX13ifg6OiogLPPfccCgoK8MADD2Dbtm1YsmQJbDYbbr31Vv1e+vo9wvvsv/vuuw8ulwvjxo2DxWKB2+3G448/jptuugkAeJ9DxJ/7euTIEQwfPtzrdavVioSEhKDfe1MGIxR6ixcvxmeffYZNmzYZ3ZQhp7KyEvfccw+Kiopgt9uNbs6QpSgKpk+fjieeeAIAMGXKFHz22WdYs2YNbr31VoNbN3S88sor+Mtf/oJ169bhnHPOwa5du7B06VKkpKTwPpuIKYdpkpKSYLFYuswuqK6uxogRIwxq1dBx11134R//+Af+9a9/IS0tTd8+YsQItLS0oL6+3mt/3vfA7NixA0ePHsXUqVNhtVphtVrx4YcfYvXq1bBarUhOTuZ9DoKRI0di/PjxXtvOPvtsHDhwAAD0e8nfI/3z05/+FPfddx+uv/56TJw4ETfffDOWLVuGFStWAOB9DhV/7uuIESNw9OhRr9fb2tpQW1sb9HtvymDEZrNh2rRpKC4u1rcpioLi4mLMnj3bwJYNbkII3HXXXXjjjTfw/vvvY8yYMV6vT5s2DREREV73/auvvsKBAwd43wMwd+5cfPrpp9i1a5f+MX36dNx00036v3mf+2/OnDldpqaXlZVh9OjRAIAxY8ZgxIgRXvfZ5XJhy5YtvM8BOH36NGTZ+1FksVigKAoA3udQ8ee+zp49G/X19dixY4e+z/vvvw9FUTBr1qzgNiio6bCDyPr160VkZKT44x//KHbv3i1uu+02ERcXJ44cOWJ00watO+64Q8TGxooPPvhAHD58WP84ffq0vs/tt98uRo0aJd5//32xfft2MXv2bDF79mwDWz00eM6mEYL3ORi2bt0qrFarePzxx8WePXvEX/7yFxEVFSX+/Oc/6/s8+eSTIi4uTvy///f/xH//+1/x7W9/m1NOA3TrrbeK1NRUfWrv66+/LpKSksTPfvYzfR/e575paGgQn3zyifjkk08EAFFYWCg++eQTsX//fiGEf/d1/vz5YsqUKWLLli1i06ZNYuzYsZzaG2y/+c1vxKhRo4TNZhMzZ84UpaWlRjdpUAPg8+Oll17S92lsbBR33nmniI+PF1FRUeI73/mOOHz4sHGNHiI6ByO8z8Hx97//XUyYMEFERkaKcePGieeff97rdUVRxEMPPSSSk5NFZGSkmDt3rvjqq68Mau3g5HK5xD333CNGjRol7Ha7yMzMFA8++KBobm7W9+F97pt//etfPn8n33rrrUII/+5rTU2NuOGGG0R0dLRwOp1i4cKFoqGhIehtlYTwKHNHREREFGamzBkhIiKigYPBCBERERmKwQgREREZisEIERERGYrBCBERERmKwQgREREZisEIERERGYrBCBERERmKwQgREREZisEIERERGYrBCBERERmKwQgREREZ6v8DsjWPAWCr5wgAAAAASUVORK5CYII=\n", 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