{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9074e19a",
   "metadata": {},
   "source": [
    "(plots_arguments_guide)=\n",
    "# Plots' arguments guide\n",
    "\n",
    "Arviz {ref}`plot <plot_api>` module is used for plotting data.\n",
    "It consists many functions that each serve different purposes.\n",
    "Most of these plotting functions have common arguments.\n",
    "These common arguments are explained in the following examples,\n",
    "which use one specific function to illustrate the usage but\n",
    "the behaviour described here will be the same for the\n",
    "other functions with the same argument.\n",
    "\n",
    "This page can be downloaded as a {nb-download}`Jupyter notebook <plots_arguments_guide.ipynb>`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7556e631",
   "metadata": {},
   "outputs": [],
   "source": [
    "import arviz as az\n",
    "import numpy as np\n",
    "\n",
    "centered_eight = az.load_arviz_data('centered_eight')\n",
    "non_centered_eight = az.load_arviz_data('non_centered_eight')\n",
    "\n",
    "x_data = np.random.normal(0, 1, 100)\n",
    "y_data = np.random.normal(2 + x_data * 0.5, 0.5, (2, 50, 100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a8eb8c63",
   "metadata": {},
   "outputs": [],
   "source": [
    "az.style.use(\"arviz-doc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fcc60a5d",
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "# if running the notebook locally,\n",
    "# you can set the backend here to compare\n",
    "# the backends available with ArviZ\n",
    "az.rcParams[\"plot.backend\"] = \"matplotlib\"\n",
    "# Uncomment if using bokeh\n",
    "# az.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adca215b",
   "metadata": {},
   "source": [
    ":::{warning} Page in construction\n",
    ":::\n",
    "\n",
    "(common_var_names)=\n",
    "## `var_names`\n",
    "\n",
    "Variables to be plotted. If None all variables are plotted.\n",
    "Prefix the variables by `~` when you want to exclude them from the plot.\n",
    "Let's see the examples.\n",
    "\n",
    "Plot all variables, which is the default behavior:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7f46c8b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
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H/pvagN+L32l/aBON+px2fE47U/HQ2+43DINspcZcKsd8Jt/p03kWutuL2QKN1u4ruFdttqgWy2w8mL/ad8VqNjMS8jEe9jMaDjAW9jMW8jMW9jMeCRB2Ox/avwORnaB5/CIiIiIiIiIiIiIiIiKi9YciIiJvMplMjIR8jIR8fOrIxOZ4oljm7HKCC6tJLnSL2F/dSO/YXMVivUExmWU2mb2t+/ucdiJuJ2GPi7DbSdjjJOJ2EXA5cFgtOG1WHFZLt1lxWi3YrZZu37ntsL2532G1YLd0btssZs3rExEREREREREREREREZH7Uq5S43vXlnlxdomXri9zeT1NrdnqdVi0DYO5dJ65dJ6vX567ZV/I7eTIQJRjgzGODsU4PhRjKhbCYjb3JliRLdBuG7wwu8h/+sE5vnrxOvUtmH/R7/PwxPgAT4wP8PjYAAf6wngd9i2I9r257TbcdhvDQd/b7q9UKly4cIFsrcFyoQqBMPPZElc30lxZT3M9nbvt/Om7yVjYz8+/7zA/977DxLzuXocjck+Uh0lERERERERERER5B6R34j43cd8oz+4b3RxrttrMpXOkSlWKtTqFWr3TV+sUaw3y1TomE7htVpw2K267DafVgstuw2WzEnQ5iHhcxLwuQm6nrq/epT2RIH/3w4/ydz/8KAvpPF86P8Mfn53h1YW12z5Gs93mC69f4guvX+LjB8b5Ox9+lA/sGdRaZREREREREZH7lLXXAYiIiIiIiIiIiIg86CqNJrPJLDOJDDOJDNOJDLOJLEvZAuuFcq/D2zJWs5nJWJCD/REO9Uc4MdzHI8NxIh5Xr0MTEREREREREREREREREeDYUJz/8Jc/wf/8iffzf7/4Br/1ygUqjeZtPfbVhTV+9je+zMH+CH//2cf47LEprBYl/xARERERERHZKQ6rlfeN9fP96yu9DuU9WcwmQi4nIbeTmNdFn89DzOcm5nXT1+07iUvdxLwuHFalvrhXJpOJkLvzPT8x0veW/a12m5VciYV0jrl0nvl0nrl0jrl0jvlUno3igzOv/X4w4PcwGvYzFvYzFgowHvEzFvIzGg4wGPAo6a6IiIiIiIiIiIiIiIiIiIiIiIjsajGvm+f2j/Hc/rHNsXqzxXQiw4XVJBfWUlxYTXJpLclKrtTDSDsK1TqFap25dH5bju+wWrBbLTgs3b7b7JZOb7OYcdqsuO02PHYbHken93a3vQ47QZeDoMtJyO0g6HYScjnxOmwqGi8iIiIiIiIiIiIiIiIiW6Zcb/CDuRVemFnixdkl3ljaoG0YvQ7rjmTKVV6c7cR/g8tm5fBAhGNDcR4b6efxsX4mokFdb5VdL1ep8buvXeQ/vnSOmWT2no41Hvbzkf1jPDE2wBPjA4yG/Lv6b8BkMhFy2gk57Rw6tA+X6826x7Vmk9lkjivrKa5uZLiWyjKfzrOQzrOa7/08lBv8TjsfnBjmmckRnpkcYV88tKu/5yIiIiIiIiIiIiIicv+yWsxMxkJMxnodidwwGvbzt54+yd96+iSziSy/+eoFvvDaRRLFym0f488vz/Hnl+d4fKyf//659/HR/WO63iQiIiIiIiJyn1ElXhEREREREREREZEt0my1mU5kOL+a5PxqkgurSaY3Mixm89xnuVHelcNqYW80yFQsyIG+CAf6whzsjzARDWKzWHodnoiIiIiIiIiIiIiIiIi8h7FwgF/+8Wf4Rx99H7/2/bP8+++fIVWq3tZjL62l+KUvfI3//Wsv8Xc//Bg/89gBHFYtT3k7pXqD66kc15NZrqVyLGcLFGsNyvUGpXqnL9eblBsN6s0WQZeTqNdFzOsm6nURv9H73OyPhxkMeJXUQ0RERERE5CH3f/6lj/KZX/1DVnLFbT2PzWLGabPitFpw2qy4bFYCTgcht5OQ20m42wfdDsJuFyG3g5DLSdjjJOhy4nfa9T/sLmMxmxkJ+RgJ+Xhq4q37i7U68+k88+kcc6k8c+kcc93b8+k8tWZr54O+jwVcDsZCfsYjfkZDAcbC/s02GvLjtOnzNBEREREREREREREREREREREREXmw2K0WDg9EOTwQvWU8XapwcS3FhW6u3vOrSS6vp6k0mj2KdOvVmi1qzRaFLT6u1Wwm5HbQ5/PQ7/cw4PfQ7/fS73/z9mjYT9jt1NxdEREREREREREREREREXlba/kSf3bxGl+5cI0XZxapt9q9DmnLVRpNXltY57WFdf7jS+cAiHicPDbaz+NjA7xvtJ8TI314HfYeRyrScW4lwX/4/ln+y+kr9zR/4rHRPj5xaC+fPLSXA33hB2bugMNq5VB/hEP9kbfsqzaaLGYKzGdy3ZxZeRbSnZxZ8+k82Upt2+KKelwcHojyoclhPjw5wvGhOFaLedvOJyIiIiIiIiIiIiIiIveHiViQ//WTT/E//ciTfPXidX7jlQt88+o8hnF7j391fo3P/cc/4cRwnH/43ON84uBezOYH49qfiIiIiIiIyINOVUlFRERERERERERE7kKl0eTcSoI3ljY4t5Lg/EqSS+spas1Wr0PbEj6HjcGAl6Ggj73RIFOxEBPdfijoxWJWogIRERERERERERERERGR+13E4+IffewJ/vYzJ/nd1y7xf71wirl0/rYeO5fO8/f/8Jv88tdf5m986BF+7vFDhD2ubY54d2q121xaT/PS9WXOLCW4lspyPZljrVC6wyO9+/c+5nVxbCjO8aEYx7v9aMj/wCT3FxERERERkfe2Nxrk1f/+5/jB3AqzySwWkxmzyYTZBGazCYvJjMlEd8yExWza3DabTJhMJhxWC06rBafN2mlWK07bzbctmiv8EPI67BweiHJ4IPqWfe22wVqhxPVUjpVckdVckdV8idVckZV8kZVckfV8mWb7wSsw+nbMJhNxr5t+v4d+v4ehoJexcICxsJ/xsJ+xcICAy9HrMEVERERERERERERERERERERERER2hbDHxQcnhvngxPDmWKvdZi6V58JakourSS6spbi4muR6OnfbBdUfBs12m0SxQqJY4fxq8h3v57HbGAn5GA35GQ37Gev2eyIB9kaDeOy2HYxaRERERERERERERERERHptJpHhy+dn+dML13h1Ya3X4fREqlTla5fm+NqlOQAsZhMnR/p4ZnKEpyeGeXxsAKfN2tsg5aHSbLX58oVZ/u2Lb/DK/OpdHcNqNvPhqRE+dXiCTxzaQ7/fs8VR7n5Om5WpeIipeOht9+cqNRYyeRbSeRLFCulyhUy5SrpcJV3q9JlyFcMwsFrMWMxmrGYTVvOb21Gvi9FQgNFwZy7GWNjPSMiv+RciIiIiIiIiIiIiIiLyrmwWC585Oslnjk6ykMnz269c5D/+4CypUvW2Hn96aYOf/Y2vcHggyj/4yGP82NFJ1Q8SERERERER2eU0I11ERERERERERETkPTRaLS6tpTi1uMHppXVOL61zaS1Ns93udWh3xO+0E3Y7CXtc3d5J2O0i4nEy4PcyGOi0gYAHv9PR63BFREREREREREREREREZIe47Tb+2geO8QtPHOFL52f4lW+f4o3ljdt67FqhxP/yp9/jn//5D/iLJ/bz1z9wjGND8W2OuLeqjSanlzZ46foyP5hb5eW5FfLV+rafN1Gs8PyVeZ6/Mr85FnQ5eGrvEB87MM5H948xFPRtexwiIiIiIiLSW267jY/sG+Mj+8Z6HYo8JMxm0+Zc83fSbhskSmVWcyVWckVW88VOnyuxli+SKFZIlSokSxUard05D99kgqjHRb/fQ7/fy4Df093utAG/lz6fm5jXjdWiRKsiIiIiIiIiIiIiIiIiIiIiIiIid8tiNjMRCzIRC/JjRyc3xyuNJtdTOa4ls8wkMp0+meVaMst6odzDiHe3Ur3B5fU0l9fTb7t/wO9hbzTI3kiAvdEgk7EQB/rC7IkEVHxeRERERERERERERERE5AGxkMnzn09d5r+evsKVjcy2nSfqcTEQ6ORnGezmZfE7HditFhxWC3arBWe3t1nM1Botyo0mlXqDSqNJqdvnKjXWCyXW8mXW8p0cNfVtzEvTahu8Or/Gq/Nr/IvnX8VptfDknkE+NDHMh6dGeWQojtls2rbzy8MrX63x269c5N997w0WM4W7OsbJkT5+6uQBfvL4FFGve4sjfLAEXA6OumIcHYz1OhQRERERERERERERERF5iI2G/Py/f+RJ/t6zj/K7r13i37xwivl0/rYee2E1yed/56vsi4f4h8+9j588PqX1wCIiIiIiIiK7lLXXAYiIiIiIiIiIiIjsNiu5Iq8tdBJ8vLqwypmlDarNVq/DuoXXbiPidRH1uIh4XES9nT7icRF2OzvtxrbHScjlxGrRJC4REREREREREREREREReWdWi5nPHt/HTxyb4sXZJf6Pb7/ON68u3NZjq80Wv/3qRX771Ys8MT7AX//AcT5zZAK71bLNUW+/dtvgwlqS56/M882rC7wyv0ptl1xDzlZqfOXCNb5y4RoAB/sjfOzAOB/bP8YT4wPYLPf/919EREREREREdj+z2USfz0Ofz8Mjw/F3vJ9hGOSrdVKlCslShVSpQrHWoFir39Tf2G5Qb7WoNprUWy1qzRa1Rotaq0Wj2cJkMmEygQkwmToFPE0mE1azCbfdhtduw2234XF0e7sNn8NOwOUg6HIQdDkJut/cDrkd+ixFREREREREREREREREREREREREpIdcNiuH+iMc6o+8ZV+l0WQ9X2I1X2K9UGIt/2ZLFMukS1VS5QqZUpVivdGD6Hev1e737XvXlm8Zd1otTMVDHOyPcKAvwsG+CAf7w4wE/ZjNph5FKyIiIiIiIiIiIiIiIiK3q1ir8yfnZvjCa5f47g9dD7wXVrOZqXiIw/1RjgxGOTwQYV8sTJ/fjcNq3bLz3MwwDLKVGqv5EnOpHNOJDNMbGa4m0kxvZMhWalt6vmqzxbenF/n29CL/9KsvEfW4eG7/GB/dP8Zz+8cIuZ1bej55+Cyk8/zq997gt165QKF25/MYhoM+PndyPz918gD74uFtiFBEREREREREREREREREtpvbbuOvfeAYv/DEEb50foZf+fYp3ljeuK3HXt3I8Etf+Br/6puv8o8/9gSfOTKp9b8iIiIiIiIiu8z2zK4XERERERERERERuU9UGk3OLG/w2vwary2s8erCGiu5Yk9iCbgcDAd9DAW89Ps9RDwuoh4XEW+nv3nbadPHuyIiIiIiIiIiIiIiIiKyPUwmE09PjvD05Ahnljb4199+jT8+N4Nh3N7jX55b5eW5Vfp9Hj736AH+4iP7ODIQxWS6fxJObBTKfGt6gW9enefbVxfZKJZ7HdJtubSW4tJail/59uv4HDY+fnAPnz02xXP7x3SdWURERERERER6zmQyEXA5CLgc7I0Gex2OiIiIiIiIiIiIiIiIiIiIiIiIiNwnXDYr45EA45HAe9631mySLlVJlatkShXS5SqpUpV0uUp683aFYq1BvdWi2mhSa7a67ebt1g58Zb1TbbY4t5Lk3ErylnGP3cb+vjAH+yIc6AtzsL/TDwa899VaYREREREREREREREREZEHUbtt8OLsEl94/RJfOjdDudG852MO+D08PTnChyaGOTYUY188hMO6s3lsTSYTIbeTkNvJof7ILfsMwyBZqnB1Pc351SRnVxKcWU5wZT1Ns93ekvMnSxV+/9Rlfv/UZcwmE4+N9vOxA+P8yMHx+y6vsvTWK/Or/N8vnOZL52dp325C7y6L2cSnDu/l808e40MTw5jN+r0TEREREREREREREREReRBYLWY+e3wfP3Fsihdnl/jX33qNb00v3tZjL6+n+YXf/jOODET5Hz/+BD96aK+uYYuIiIiIiIjsEjs7615ERERERERERESkhwzDYD6d59WFNV7rtnMrCRqtrUn88V6sZjN7owEmYyEmYyH2RgKMhHwMBXwMBb14HfYdiUNERERERERERERERERE5HYdH47zn/7KJ5neyPB/fPt1fv/U5dsurrBWKPEr336dX/n260zFQvzk8Sl+8pF97IuHtznqO1drNnllbpXnry7wzavznFtJ9jqke1aoNfiDN67yB29cxeew8YlDe/mJY1M8t390xwt5iIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiOwEh9XKQMDLQMB7T8cxDIN6q0W10drsa80mtWaLerNFrdXtmzf1rU7/w/epNluU6w1KtQalep1irUGx1qBUb1Co1slWquSr9S36DtybUr3BqcV1Ti2u3zIedDk4NhTj2GCc40Mxjg/FmYgGMZtVqF5ERERERERERERERERku01vZPi9U5f4/VOXWc4W7+lYYbeTD00M86HJYZ6ZHGEiGsRk2r3X/UwmEzGvm5jXzVMTw5vj1UaTy+tpzixv8MbSBq8trHFxLUXbMO7pfG3D4JX5VV6ZX+Wffe0lRkI+Pn14gk8fneCJsQEsZvO9fknygGm22nzp/Az/94uneW1h/b0f8EP6fG7+6hNH+KtPHGHwHuc6iIiIiIiIiIiIiIiIiMjuZTKZeHpyhKcnR3h9YY3/3/Ov8LVLc7f12POrSX72N77CI0Nx/sePP8nHDozt6mv9IiIiIiIiIg8Da68DEBEREREREREREdkO1UaTK+tpzq8mO20lwfnVJNlKbdvPbTWbmYqHODIQ5fBAlH3xEFOxEGNhPzaLZdvPLyIiIiIiIiIiIiIiIiKy1abiIf7N5z7K//CxJ/i/XjjFb75ygUqjeduPn05k+OVvvMIvf+MVjg5G+YljU3xk3xhHB6M9KZxgGAYziSzfml7g+SvzfO/aMqV6Y1vOZTWbGQv7GY8EiHicuG02PHYbbrsNt92K227DZjGTLldJFiskiuXNvtMq9xxDodbgv5y+wn85fQWf084nD+3t/gxGsVt1HVtERERERERERERERERERERERERERERERERERETkZiaTCYfVisO6M2Xemq02uWqNTLlKplwlW6mRKJZZy5febIU3txut9o7EdUO2UuOFmSVemFnaHPPYbRwZjHJ8KM7xoRjHhuLsj4eUg1lERERERERERERERERkC2TLVf7gzFV+//XLvLqwdk/H2h8P8akjE3zy0F5ODPdhNpu2KMrecdqsPDIc55HhOH/1ic5YoVrn1OI6ry6s8sr8Gq8trJEpV+/pPIuZAv/2u2/wb7/7BjGvix89tJdPH5ng6cnhHbueLLtTrlLjt165wK9+7wxL2cIdP/6pvUP8tQ8c41OH9+o6u4iIiIiIiIiIiIiIiMhD5tHRfn7vv/kxzi5v8C+ef5UvnZ+9rce9sbzBT/2nP+HEcJx/+Nzj/OihvZhM9/8cABEREREREZH7kWaTi4iIiIiIiIiIyH0tX60xk8gyncgw022X19NMJzK02sa2n99rt3F8OM6xwRhHBqMcGYiyvy+sZB4iIiIiIiIiIiIiIiIi8kAaCfn45z/+DP/wucf59Zcv8J9+cJaVXOmOjnFuJcm5lST/9Ksv4XPa+cCeQT64d5gPTgxzdDCKxWze8rhzlRqvL67x+sI6ry6s8frCGul7LADxw2wWMyeG+3h0pI+90SB7owH2RoIMB31YLXf/NWXKVc4uJzizvMGZ5QRnlzeYSWbv+niFap3fP3WZ3z91Gb/TzqePTPATx6Z4ZnIEu1XFBkRERERERERERERERERERERERERERERERERERER2mtViJuJxEfG43vO+7bZBolRmPp1nIZ1nIZNnIVNgMZNnPt1pzXZ722Mu1Ru8PLfKy3Orm2MOq4VD/RGODcU5PhTj2GCMQwNRXDblaxYRERERERERERERERF5L41Wi+evLPB7r1/izy5eo966++t+j4/286kjE3zy0F6m4qEtjHL38jntPDM1wjNTIwAYhsHl9TQvzi7xnZlFvju7RL5av+vjJ4oVfvOVC/zmKxfwOWx8/OAePn1kgo/uH8PrsG/VlyG73PRGhl976Sy/8+pFivXGHT3WbjHzF0/s529+6ARHBqLbFKGIiIiIiIiIiIiIiIiI3C+ODcX5zZ//FJfWUvzLb77KF89M0zaM93zc6aUNfvY3vsLhgSj/4COP8WNHJ7elFrCIiIiIiIiIvDNl1RIREREREREREZFdrdVus5ovdQoZbBY1KDCXzjGTyLBeKO9YLA6rhaODUU4M93FypI8Tw31MxUKYzaYdi0FEREREREREREREREREZDeIet38w+ce5+9++CR/euEa//57Z/j+9ZU7Pk6hWudrl+b42qU5APxOO48MxxkN+RkN+RkJ+Rjpbg/4PVgtb5+Uot02SJTKrGSLrOSKLN9o2QLnVhJc3cjcy5f7tnxOO+8bG+DJ8UHev2eQkyN9uGxbv1Qn5HbeUrwCIF+t8cbSBs9fXeAbl+e4uJa6q2Pnq3V+97VL/O5rlwi6HHz6yAQ/cWyKpyeHsVksW/UliIjILlZtNJlNZlnMFFgvlFjPl1grlFnLF1kvlFkvlPA7HXxw7xD/yyefwm239TpkERERERERERERERERERERERERERERERERkYea2Wyiz+ehz+fhfWMDb9nfbLVZyhaYTWaZTWa5nsp1thMZ5tL52yo+f7dqzRanlzY4vbSxOWYxm9gfD3N8KM6xoRjHhmIcHYjhc9q3LQ4RERERERERERERERGR+8m5lQS/9/ol/svpKySKlbs+zpGBKD/z6EE+e3yKgYB3CyO8P5lMJg72RzjYH+GXnjpOs9Xm7EqC78ws8sLMIi9dX6HWbN3VsQu1Bn/wxlX+4I2rOKwWnp0a5dNHJvjEoT1EPK4t/kqk11rtNl+7dJ3/8P2zfGt68Y4fH/E4+fyTx/jFDxylz+fZhghFRERERERERERERERE5H52sD/Cf/jLn+AfffR9/PLXX+GLZ69yO8uBL6wm+fzvfJV98RB//9nH+IuP7H/Hur8iIiIiIiIisrWsvQ5ARERERERERES2n2EY5Kt11vIl1vIlMpUq1UaTaqNFrdmk2mxRazSpNJu0DbBbzDisFmwWS7fv3PbYbcS8bqJeFzGvm5DLidls6vWXJ/eZZqtNvlojV62Rq9TJVWqkShUSxTKJYoVkscxGsUyyWGGjWGYlV6TRavck1r2RAI+PDfDYaD+PjfZzeCCCzWLpSSwi8vAZHx/nmWee6XUYIiIiu0a73aZUKm3e9ng8mM1aeCAiIiLysNL7Q7lX4+PjvQ5BROSBYbNY+PFjU/z4sSnOryb5D987w38+fYVKo3lXx8tX67wws/S2+8wmEzaLGROdAg43ZiyYTCbqrda2X1u2Wcw8MTbAR/aP8ezUKEcHo1h69B7E73Tw9OQIT0+O8L9+8imWsgWevzLPN67M8+2rCxTrjTs+ZrZS47dfvchvv3qRkNvJZ45M8BPHpvjQxLCSgIiIPAASxTIXV1NMJzLMdNt0IstiNv+eSaKWKXJpLcWVjTR//Es/uTMBi4iIiIiIiPSA5vGLyE7THBgREZF7o9dSERGRu6fXURERkXuj19IHm9YfioiIyIPAajEzHgkwHgnw3P6xW/ZVGk2mN9JcXEtxeT3NpW6/kMlvWzyttsHFtRQX11J84fVLAJhMMBEJcnQoxvGhOMeHYhwbjBH2uLYtDhEREREREREREREREZHdZKNQ5r+cvszvvX6Z86vJuz5OzOviL53Yz08/epCjg7EtjPDBY7WYOTnSx8mRPv7+s49Rrjd4cXaJr1+e488vz7GYKdzVcWvNFl+9dJ2vXrqO2WTiqb1DfPrIBJ88vJfhoG+LvwrZSclimd969SL/6Qfn7ur3Y388xN/80Ak+d/IALpt1GyIUEdl6ysMkIvJWWkskIiIi9xu9fxERuXfKOyAivbIvHubXfvYT/IPnHueXv/4D/uTc7G097upGhr/5+1/nl7/+Mv/t0yf4y48dwmO3bXO0IiIiIiIiIg83k2EYRq+DkIdXpVLh4sWLm7cPHTqEy6UkbiIiIiIPK70/FBG5N9VGk+lEhsvraa6sp5lL51jLl1jNFVnLlyg3mlt+TovZRNTjIup10+9zMxoOMBb2d1qo04fcTkwm05afW7Zfq92mXG9Sqjco1xvdvkn5pts39t18vxv3uXV/g0KtQb5So1hv9PpLe1s+h41HR/t57KYWUcGBntL7QxERERG5md4fioiIiMjN9P5QRERkd8uWq/zJuRn+8Mw0L84u0b6Pl65MRoM8u2+Uj+wb44MTQ3gd9l6H9J7qzRYvzi7xx2en+dL5WbKV2j0dL+Jx8pkjk3z2+BQf2DOE1bL7ksHp/aGIyK3y1RpnljZ4fXGd00vrnFrcYCl7d8WMftj3/18/y8H+yJYcS0RkN9F7ShERkbun11EREZG7p9dRERGRe6PXUhERkbun11EREZF7o9dSERGRu6fXUZHdq1Ctc2UjzeX1FJfWOu3yeprVfGlH4xgO+jg+FOP4UJxjQzGODcbo93uU51ykS6+lIiIid0+voyJyO/RcISIiIvcbvX8Ruf9UG02+euk6X3jtEs9fnafVvru8vXaLmU8e3stPP3qQj+wbxWaxbHGkDx/DMLi6keHrl+f4+pU5vndt+a5/Pjc7OdLHpw7v5dNHJtgXD29BpLLdWu02L8ws8buvXeJL52eoNVt3fIxnp0b4b58+wUemxjCbdb37Znr/IiIiIvcjvYcRERGR+43ev4iIiMj9Ru9f3tm5lQT//Osv86cXrt3R40JuJ7/4/qP89Q8cJ+5zb1N0cj8zDINcpcZCJs9CpsBKrki+WqdY67RCrU6x1qBYq1NpNLFbLDitFhw2Kw6rBae107vtVqJeN30+N30+D3Gfm36/h4jbpevlIvLA03sYERERsfY6ABERERERERERuXMbhTKvzK9yZnmDy+tpLq+luJbK0TbuPbnAnWi1DdYLZdYLZS6svv19fA4b45EAk7EQk9EQE7Egk9Egk7EQAZdjR+N9GBiGQaneIFepka/WyVVrb25XauSqb27nqzVKtQbleoNS/UbfpNzdrt5FkoL7hckEB/oiPD7az2Pdti8ewmI29zo0EREREREREREREREREZH7XtDt5OefOMLPP3GE9UKJPz47wx+8cZVX5t9hcsEu4nPaeWZyhI/sG+Uj+0YZCwd6HdIds1stPLd/jOf2j/Evf/JZvjOzyB+dmeHLF2bJVWp3fLxUqcqvv3yeX3/5PBGPk2cmR3l23wgfnhplOOjbhq9ARETuRLXR5NxKgtNLG5xaXOf00jrTiQzbNZ2w0mhuz4FFREREREREREREREREREREREREREREREREpGd8TvtmruabZcpVLqwmObuc4OxKgjPLG1zdyGxbPvSlbIGlbIGvXLi2ORb3ujk2FOP4UJxjQzEO90cZj/iVT1ruK4ZhUG22KFTrFGt16q0WjVabVtug0WrRaLdptdq0DAOb2YzNasFusWCzmLFbLNit3R4DwzAwmUy9/pJEREREREREREREROQ2GYbBawtrfOH1y/zhmat3lR/2hsdH+/npRw/yk8enCLqdWxilmEwm9veF2d8X5m8/c5JMucrXLl3ny+dnef7K/F3X+D21uM6pxXX+6VdfYn88xKeOTPCZI5McH4rpms8uM5PI8IXXL/F7r19mJVe848fbLWY+d/IAf+ODj3B4ILoNEYqIiIiIiIiIiIiIiIjIw+boYIzf+auf5vTiOr/8jZf52qW523pcplzlXzz/Kr/y7df5qZMH+G+fPsGBvsj2Biu7Uqne4OJqkvOrSS6vp1lI51nI5FnM5CnUGtt2XovZRJ/Pzd5IkMlYiH3xEJOxEFOxECMhn9aJi4iIiIjIA8Ha6wBEREREREREROTdtdsGl9ZTvDK/ystzq7wyv8r1VK7XYd22Qq3BuZUk51aSb9kX9biYiAWZjIa6fecC/Z5IAKdNH11BJ9lHvlonUSyzXiiTKJbZKJRZL5RIFN4cy5Sr5Kp18tUarfb2JN+/XzmtFg72RzgyEOXIYIzDA1GODEQJuBy9Dk1ERERERERERERERERE5IHX5/PwS08d55eeOs5CJs8fnZnmG1fmeWV+ldpdFk7YSmaTiZMjcZ6dGuMj+0d5bKQfq+XBSSRgs1j46P5xPrp/nH/VfJZvTy/yR2en+cqFWfLV+h0fL1Wq8odnrvKHZ64CMBUL8eGpET48NcpTe4d0LV5EZJs1W20ub6Q53S0idHppnQurKZrt9o6cP+pxsb8vvCPnEhEREREREREREREREREREREREREREREREZHeC7mdfHBimA9ODG+OlesNLqwmObuS4OxygjPLG1xaS1Fvbc86p41imW9cmecbV+Y3x1w2Kwf6whzqj3J4IMKh/iiHBiLEvO5tiUHkhxWqdVbzRRKFMolShUSxTLJYIVGskCyWSZYq5Kt1CtU6hVqn36q1gDazCa/dis9mJfb9acIeN2G3k4GAhwG/l6GAl4GAl8GAl5jXhcX84KyfFxERERERERERERG5n0xvZPjjc9P8/uuXmUlm7/o4Q0EvP3XyAD998iBT8dDWBSjvKuR28tOPHuSnHz1Iqd7gm1fm+dL5Wb526fpd5fUFuLKR4co3X+NfffM1hoM+PnV4L585MsGTewZ1TadH0qUKXzo/y+++dolX5lfv6hgRj5NffP8xfvH9x4j7dM1aRERERERERERERERERLbeiZE+fu+/+THOrST4F8+/wp+cm72tx9VbbX7r1Yv81qsXeW7/GL/wxBF+5OA4NotlmyOWXkgWy7y+uM65lSQXVhOcX0kym8piGDsfS6ttsJIrsZIr8d1ry7fsc1gtTESDHBmMcmww1mlDcdVEFhERERGR+4611wGIiIiIiIiIiMitDMPg4lqK70wv8p2ZRX4wt3LXyQF2u2SpQrJU4eW5WxfJm0wwEvQzGQsyEQ0yGQt1+yDDQd8DkdigVG+QKJRZL5TZKJTYKJbZKHRbsTtWqLBRKFFttnod7n3BZbMyEQ0yFQsxGQuxLx7i6GCMiWgQq+X+/50REREREREREREREREREbnfjYb8/J0PP8rf+fCjVBtNXl9c53uzS7w4u8SrC2vUduD6eNzr5rGxfh4d6ePx0X4eGe7D57Rv+3l3A7vVwscPjvPxg+PUms/yzasL/NHZaf7swjUKtcZdHXM6kWE6keH/+f5ZAKZiIU6MxHl0pJ8Tw3GODsZw2rR8SUTkbhiGwfVUjlOL6522tM655QTlRrMn8cS9bn795z6Jx27ryflFREREREREREREREREREREREREREREREREZHdw2208PjbA42MDm2P1ZosrG2nOLG9wZjnB2eUE51e2bz1UpdHk9NIGp5c2bhmPeV0c6o9yeCDCof4oh/oj7O8L49a6KLkD5XqDpWyBxUyBhUyelVyR1VyJlVyBlVyRlVzxrtdnb4VG2yBTbZCpNlgoVN71vhaziQG/l73RAHsjnbz/e6Odfjzix2HVWnARERERERERERERka00vZHhj89N80dnZ7iwmrzr47htVn7s2CQ/ffIgH5oYxmw2bWGUcqc8dhufOTrJZ45OUm+2+O61Jb50bpY/u3iN9UL5ro65lC3wq987w69+7wwRj5MfPbSXHzm4hw9NDBNwObb4K5CbLWYK/OmFWb5y4Rrfv75Mq23c1XEeGYrz1586xmeP78OlHMwiIiIiIiIiIiIiIiIisgOODsb4jZ/7FJfWUvyrb77GH565Stu4vWuez1+Z5/kr8/T53PzMYwf5+fcdZk8kuL0By7YxDIOZRJaX51d4eW6VH1xfYSaZ7XVYt6XWbHFxLcXFtRT/+dSVzfGxsJ9jgzGODcU5MdxpYY+rh5GKiIiIiIi8O80gFhERERERERHZBRYyeb4zvch3ZhZ5YWaRRPHdEzY/6Ayj8z1ZyOT55tWFW/bZLWb2RoMMB30MB30MBX0MB70MBbwMBX0MBrw4e7Bwvt5skalUyZZrZCpV0qUqiWKZjUKZ9UKJRLHMeqFzO1EoU6z3Ljn4/SzgcjAa8jEa8jMW9jMWDjAZCzIVCzMU8CqxiYiIiIiIiIiIiIiIiIjIfcJps/LU3iGe2jvEP/rYE1QbTV5fWOPMcoLFbKcY90I6z2K2QK5Su6Nj2yxmBgNeBgNehgI+hoJejg3GeGysn5GgD5NJ15YdVis/emgvP3poL9VGk29eneeLZ2b46sVr9zSnYTqRYTqR2UzCYDWbOTwQ4WB/hMlYiMlokIlYiL2RAG67bau+HBGRB8JqrsipxXVOLa1zenGd00sbZO/wNfBeWMwm+nwe+v0e+nzuze1+v4exsJ+n9g5hs1h2LB4RERERERERERERERERERERERERERERERERuX/YrRaODsY4OhjjrzzeGWu128wkspxZ3uDcSoIzywnOLG+Qr9a3LY5EscJ3Zjr53m8wmWBPOMBUPMRUrNMm4yH2xUJEPC6tPX4I5as1FjOdNe2LmUK3dda2L2byD1SdgFbbYClbYClb4IWZpVv2mU0mRkM+DvZHONQf5VD/jXXhQa0nFBERERERERERERG5TYZhcGk9zZ9emOWPzs5wYTV5T8f70MQwP/PoQT5zdAKvw75FUcpWslstfGTfGB/ZN8a//OyzvLqwxpfPz/Dl87PMpfN3dcxUqcpvv3qR3371IhaziUdH+vnIvlGe3TfKyeE+rBbzFn8VD5c3/06v8ZXzs7yxvHHXx7JbzHz2+D7+2geO8ehIn643i4iIiIiIiIiIiIiIiEhPHOyP8P/85R/hf/jY+/jX33qd3z91mWa7fVuPXS+U+dffep1//a3X+dDEMD//vsN8+sgETpt1m6OWe1FrNjmznODluVV+MLfCK3OrJEsPznpYgPl0nvl0ni+dn90cGw/7OTHSx6MjfZwY6eP4UByP6iGLiIiIiMguof+kRURERERERER6oNZs8v1rK3z98hxfvzzHTDK7o+cPuhy47TacVgsOmxWXzYrDasFptWA2mai32tRbLerNFrVmi0arTa3ZIlupbmty9ttRb7W5vJ7m8nr6He/jtlkJuh0EXE6CLke3OfE57dgtFhzWW5vdasGEiZbRptU2aLXbNG/qy/UGpXqDYq1Oqdbpi/UGhWqdbKVGrlKjVG/s4HfhwWIygd/pIO51E/W6iHldxLxuYt3bfT4PY2E/oyE/AZej1+GKiIiIiIiIiIiIiIiIiMg2cNqsPDUxzFMTw2/Zl6vUWMwW2CiUaLUNDAMMDIDNbbPJRJ/Pw2DAS9TjwmxW8v3b5bRZ+eThCT55eIJKo8nzV+b54plpvnbp+j3Ph2i225xZTnBmOfGWfUNBL5PREIMBLwMBD/1+D4N+L/1+DwMBL3GvWwUuROSBtZYvcXY5wdmVBKeX1jm9uM5qvrQj5455XUzGQkzFQkzGQkzGgkzFQoyF/dgslh2JQUREREREREREREREREREREREREREREREREQefBazmf19Yfb3hfncyQMAGIbBQibfXX+6wZnlBGeXN0gUt6/IuWHAtVSOa6kcX7s0d8u+oMvBVPzN9Vb7uv2eSAC7Veut7keGYZApV1nIFFjM5FnMFFjI5FnMdm4vZArkKrVeh7krtA2DuXSeuXSeP7t4fXPcbjEzFQ9zeCDC8cE4x4diHB2K4XcqR7yIiIiIiIiIiIiICEChWueFmUW+fmWeb1yZYzlbvKfjTUSD/PSjB/jcyQOMhvxbFKXsBLPZxBPjAzwxPsA/+dQHOb+a5CvnZ/nyhWtcWE3e1TFbbYNX5ld5ZX6Vf/71l/E77Tw9OcIH9gzy5PggRwdjytl7GxbSeb4zs8gLM0u8OLvIeqF8T8cbCnr5/JNH+bn3HSbmdW9RlCIiIiIiIiIiIiIiIiIi92YyFuLffO6j/I8ff4Jf/d4Zfv3l8xSq9dt+/IuzS7w4u4TPYeNHDu7lx49N8tz+MVw26zZGLbcjU67yyvwqP5hb4eW5VU4trlNrtnod1o67sQ72i2emATCbTOzvC3NyuI8TI3FODvdxeCCqdeEiIiIiItIT+u9ZRERERERERGSHLGYKfOPKHF+/PMcLM0uU6o1tOY/dYmYyFmJ/X5ixsJ8Bv5d+v2ez9fncOKx3/7FQrdkkWayQLFbYKJZJFiusF0osZgvMp/MspPMsZPI9nSBQbjQp55qs5Eo9i+FBZjaZ8NituO02PHYb7m67MXZj/M19nXGvw0bQ5SDgdOB3OQh0t30OO2azqddfloiIiIiIiIiIiIiIiIiI7FKB7jVmBqK9DuWB57JZ+fSRCT59ZIJyvcHXL8/xR2en+dqlOSqN5paeazlbfM8iKUGXg4jHRdjtJOxxEna7iHichNzOm8ZdeCyQqdbx2a1YzSqCISK7R7ttcD2V49xqgrPLCc6uJDi3nGCjeG/FZ25X2O3kxEjfm0luRvro83l25NwiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIj/MZDIxFg4wFg7wY0cnATAMg7V8iTPLCc4ub3B2JcGZ5QRL2cK2x5Ot1Hh1fo1X59duGbeYTYyHA4yH/QyH/AwHfQwHvYwEfQyHfAwGvNgsKka+0wzDIF+ts5IrspwrsJItspwrstJty9kCS9nittUAeFjUW20urCa5sJrkP5+6sjk+EQ1ybCjGI0NxHhnuNL/T0cNIRURERERERERERER2Rqvd5vxKkhdml/jGlTleur5Co9W+p2P6nXZ+8vg+fuaxgzw+2o/JpJqu9zuTycTRwRhHB2P8448/yfVUli+fv8aXz8/yyvzqXR83X63z5fOzfPn8LAAeu41HR/t4YmyQJ/cM8Nho/0N/zabZanM1keHs8gYvXV/hOzOLzKfz93xch9XCJw/v5S8/dpBnp0axKO+xiIiIiIiIiIiIiIiIiOxSQ0Ef/+RTH+QfPvc4v/XKBf7td994z3qxNyvUGvzXN67wX9+4gsdu4+MHx/mJY1N8dP8YbrttGyMX6KyfnUvneHlulR/MrfLy3AqX19M7dn6bxcxw0EfE48TrsONz2PE67HgdNrwOO267lUarTbXZot5sUW00qTVbVJtN8tU6G4USG4UyiWKFtmFsa6xtw+DSWopLayl+57WLANgtZo4OxnhkOM6xwRjHhuIc7A/jsFq3NRYRERERERH91yFyn1gvlPj29CJzqRwOqwWnzYrTasVp62w7rBb8Tgd9Pjd9Pg8+p73XIYuIiIiIiDz0qo0mL11f4fkr8zx/dX5bLqKPhf2cHO7jQF+YA/0RDvSF2RsJYrVs36Jyh9XKUNDHUND3jvdptw3WCyXm0nnm0zlmk1lmE1mmExlmk1kqjea2xSdvZbeYCbgcBJwO/C4HAacdv9OB32nH57Tjtttw2214us1tt27edndve+x2PN1xh9WiBCMiIiIiIiIiIiIiIiIiIiIPOLfdxo8fm+LHj01Rqjf4/rVlvj29wLemF7m0ltqRGLKVGtlKjdk7eIzHZiH652eJet2E3E4iHhdht5Owx0XM66Lf76Hf56HP7yHmdal4g4hsmXqzxZWNNGeXE5xdSXB2OcGF1QSFWmNHzu+x2zg+FOPkSD8nR+KcHOljNOTXXC8RERERERERERERERERERERERERERERERER2dVMJhMDAS8DAS+fOLRnczxdqnB2JcGZ5QRnljc4u5zgWirLNtceB6DVNjq51ZPZd4gZBvwehoI+hrttJPTmdr/fQ8TtwmzW+q7bYRgG+WqdZLFCslQhVeoUml/JFVnOFlnJFTa3i/WdWbPXKyYTO/I7fjdu/E188cw00Il1XyzEo6P9nBzp49GRfg4PRLBZLD2OVHa7dtsgX62RqVRJl6qbfbZSo1xvUG00KTeaVBtNKt1Wa7Yw3uGPw2Qy4bBacNmsuGxWnDYr7hu93UbQ5SDscRJyOTd7v9Oh52iRrhuvw4limY1imXSpSqFap1Crk6/WyFfr5Kt1CtU6IbeDZyZH+MzRyV6HLSIiIiIiIiKyrerNFqeXNvj+9WW+f22Zl+dXKVTr93xci9nER/aN8TOPHuBHD+3FabNuQbSyW+2JBPnvnjnJf/fMSdbyJf70wjW+fH6GF2eXabbbd33cUr3BCzNLvDCzdNO5AhwdjHJkIMbhgShHB2MMB70PZD7KQrXO1Y305rXkcysJLq4mqTZbW3aOx0b7+JlHD/GTx6cIup1bdlwRERERERERERERERERke3mdzr4W0+f5JeeOs4fnZ3h33znFGdXEnd0jFK9wRfPTPPFM9O4bVY+sHeIZyZHeGZqhMP9Ua3L2gLFWp2zKwlOL67zyvwqL8+tsl4ob+s5PXYbhwei7I+HGA0HGA35GA37GQ356fd5tuTn2my1SZUrrOdLrOXLzKVzTCcyzCQyXN3IsJIrbsFX8lb1VpvXF9d5fXF9c8xqNnOgL8yxoRjHBjvzKQ70hYl63dsSg4iIiIiIPJy0IkDkPnBmaYO/8Gt/RKpUve3HeOw24j43fT4P/X43QwEfE7Egk9EgE7EQA37PA7lgQ0REREREpJcMo5MQ/Pkr8zx/dYHvzi5RaTS37Pg2i5njQzGeGBvkfeMDvG9sgH6/Z8uOv5XM5jcTtr9/z+At+9ptg9V8kdlklplEltlkpttnmUvnaLV3aWbrXcLntBP3urv/97uJed3EfR4iHidBl4OAy4Hf6SDgdOB32Qk4HUoMIiIiIiIiIiIiIiIiIiIiIvfEY7fxsQPjfOzAOABr+RLfnl7g29OLfHt6YduTTdyJUqNFKVNgPlN4z/uaTSbiXjd9fjcjIT/jYT9j4QB7IgHGwwFGQj7sVhU5F5FbNVtt5tI5rqynubSe5sp6msvrKa5spGm07r6Qz52wWcwcGYhycqSPkyN9nBjuY188hMVs3pHzi4iIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIhst7DHxYenRvnw1OjmWLne4Mp6motrKS6sJrm4luLiWpJEsbKjsRkGrORKrORKvDq/9rb3sZrNxH1uBvwe+vwe+v0e+rxuQh4nYbeLkNtB2O0i7HYScjvxOmz3fU2xSqNJtlwlV62RrdTIlmvkqjVylU7LVqpkN7c7LVWskCpXdmx93nbwO+3EvG6iXlen97iIel2EXE58TnunOd7svQ47DqsFm8WMxWzCZrFgNZuwms2YTCZa7TaNVpt6q9Xpm52+3Giwns1z/uoMhXqTYr2JKxim2GixUSizmi+ykiuymitS34Hvp2HAlY0MVzYy/O5rlwBwWi0cHYrx6Eg/j4708ehoH+PhwH3/uy23L1epMZfKsZwrspYvdVuRle72er5EulylbfS2JoXZZCLkdtDv99Lv9zDQfZ7ubHsZDHgZD/sJup09jVPkXjVbbVbzJZayhVvaSrZIolhmvVAmUSxTa7Zu+5i/9tI5/t6zj/L//dGntjFyERGRh5dhGPzOaxf56sXrbBTKBN1Owjeax9XtnfT7PeyNBIl5XfqfS0REROQeGYbBYqbAqaV1Ti9tcGphjdcX17e0HvHjY/189tgUP/nIPvp8u7MOsWyvfr+Hz7//KJ9//1Gy5SpfuzzHl8/P8vyV+S35XbueynE9leNPzs1ujgVdDg72R5iIBt9ssRB7IgFcu7jOcaneYKPQuRY7n+58XXOpPHPpLNdTOVKl6racdyzs58ePTfGXHz3I/r7wtpxDRERERERERERERERERGSn2CwW/tKJ/fzFR/bxyvwav/nKeb54ZvqOr1GXG02+cWWeb1yZByDicfL0xAjPTI3wwb3D7IkEMJs1l/XdlOoNLqwmeWNpg9NL67yxtMGVjTTbucRuMODl2GCMo4MxjgxGOTIQZTy8/T8rq8VMn89Dn8/DsaG37i/W6swmslzZSHN+Ncm5lQRnlxOky1s/F6DZbnN+Ncn51SS/y6XN8ajHxf6+MAf6wuzvC3OwL8KBvjBRr3vLYxARERHZTQzDIFGscC2VZS1fIl2qki5XSZcqnb5cJVuuEve5+ZGDe/grjx/SujWR27B7Z2WLyKZ/9MffueOFCKV6Y3Ohxtvx2G3sjQaYjIbYFw9xbCjG0cE4w0GvXkBFRERERETuQKFa58XZRZ6/usDzV+aZT+e37NhWs5nHRvt5ZnKYD00Mc3K0f1cvsr9dZrOJoaCPoaCPpydHbtnXaLWYS+WZSWaYTWSZSWaZTWSYTWZZzZd6FPH2c9msxH1u4j43fT4PMa+bPp97s7+xL+Z147bbeh2uiIiIiIiIiIiIiIiIiIiIPOT6/R5++tGD/PSjBzEMg4VMnlOL65xa7CSlOLO0QbHe6HWY76ltGKwVSqwVSpxZTrxlv9lkYjDgZU8kwHjYz1gkwHg4sHk75HZqDYbIA6zZanMtleXKeporG2kurXX6mUTmjopo3yuTCfbHw5wc6ePEcB8nR/o4PBDBYb3/5xOKiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiNwJt93GiZE+Toz03TK+UShzcS3JxdUUF9dSXFxLcnk9TaXR7FGkneLkK7kiK7nibd3fYjbhc9jxOe14HfbNbZ/Dhstmw24xY7dasFss3f6Hb1uwW82bt20WM4bRWU/bNgxa7TZtg25/Y+zWvm0YNFotKo0W1UaTaqNJudt3thtUGy0qjSaVH9ou1ho7uvZup/T7PAyHvAwGvAwGfN2+04YCXuI+N84trh9gMZuxmM1ve9wxvxtvMb15+9ChQ7hcrlvuYxgGqVKF1XyJpWyBuVSO2WSWa8kss8kci9k8hrGlIW+qNlu8Or/Gq/Nrm2Nht5OTI308OtLHI8N9HBuKMeD3aJ32fcowDJKlCtdTOa4ls5u1Eq+nslxL5kiX76zeYq+0DYNUqUqqVOXCavId7xdwORgP+xkPBxiLBNgTDjAe6dweCnqxWSw7GLXI28uWq2/+LaZzzHX/PuczeVZzJdrb8KT/f37nFH/76ZNEPK73vrOIiIjckX/2tR/wL7/56m3f32O3sScSYG80wJ5IkL2RAJPxEIf7owRcjm2MVEREROT+VK43uNb9/OTcSoLTSxu8sbROqrT1n20+PtbPZ49N8ZmjkwwHfVt+fLl/Bd1OfurkAX7q5AHK9QbfurrAn128zrem51nJbV3t5mylxkvXV3jp+sot4yYTDAV8DAQ8RNwuwh4nYbeLiMdJxOMi7Hbiddhx2614HHY8diseuw2Pw47TarmtazzttkGj3aLebNNotSjU6mTKNTLlKulylUy3pctVNgpl1gsl1vMl1gslCrWdy2l8ZCDKp49M8MnDezkyENX1KxERERERERERERERERF54JhMJp4YH+CJ8QH+9888zR+8cZXffOX829ZvvR2pUpUvnp3mi2engc5c1oP9YQ73Rzk0EOVQf4RD/RHCD+Gak3y1xtWNDFfW01zu1r+8sp7e1jWd0Km7e2QgypN7BnlirPOzHtqlc1W8DjvHh+McH47zue6YYRgs54qcXd7g7HKCM8sJTi+ts14ob0sMyVKF5LVlvndt+ZbxiMfJgb4I+/vCHOgLcyAe5kB/hKjHpfkED7hqo8lytkiiVCZVrJAqVUiWOn2q1JnfUqk3qLVa1Jstaje1RquFzdJZ3++wWnBYrTisnbX+TquFoNtJ1OMi6nURdnf6iMdF1ONiOOTDY7f1+ssXEZEHUK5S48JakpmNDNduygVxPZWjVL+9OZpfuXCNuXSO//kTH9jmaEXuf1ubdUhEtlyj1eK1hbX3vuMdKtUbnFtJcm7l1sRFIbeTo4NRjg3GONptU7EQVot5y2MQERERERG5H7XbBhfWkjx/ZZ7nr8zz8vwqjVZ7y45/ZCDKM5MjPD05wgf2DuJ12Lfs2PcDm8XCVDzEVDz0ln2Fap3rqSzTiSzz6RzLuSLL2QLL2SLLuSKZXZZQ2GG1EPW66PN5iHvdxH2dFvO66fO5id807nXYdGFfRERERERERERERERERERE7ksmk4mxcICxcIDPHt8HdIrPX93IcHppnUtraWaTGWa7BaS3cq7NdmsbBkvZAkvZAi/OvnW/z2lnbyTA3miQiR9qD2PSEpH7VaPV4loyx+X1VCfpzkYn8c5MItOT56yxsJ+Tw32cGOnj5HCcY0NxfM6Hay6hiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiMid6OQAH+XDU6ObY612m+upHJfWUkwnMswkskwn0lzdyJCv1nsY7dtrtQ2ylRrZSq3XoTw0zCYTgwEvIyEfoyE/IyEfI0Efo2E/I0E/Q0EvTtv9V+rRZDIR9bqJet0cHYy9ZX+t2WQulWc2meHiWpqLa8nNv5NW29jyeNLlKt+4Ms83rsxvjkU9Lo4NdWrkHR+KcWwwzp5IALNZ+fp3g3bbYDVfZC6V41oqx7VUtrOd7BQYLtRur7DwgyBXqXFmOcGZ5cRb9lnMJoaDPvZEOvkWxsN+9kQCTMRC7I0EcNttPYhYHlTVRpNrqRwziUz3fc2Nlu3Je4dW2+DyWoqnJoZ3/NwiIiIPsnK9wb/77ht39JhSvcH51STnV5Nv2TcW9nNkINppgzGODEQZC/tVK01EREQeaKV6g/V8idV8ibV8icVMnmvJbOezzmSW1Xxp285tMZt4fHSAHzs6wWeOTjIc9G3bueTB4bbb+NSRCT51ZALDMLiykeZbVxf45tUFvndtmUqjueXnNAw28+3eDbPJhMVswmIyYTGbMZtNmLv/ZzSaLeqtNs327sw/bDGbeN/YAJ8+PMEnD+9lPBLodUgiIiIiIiIiIiIiIiIiIjsm4HLw+fcf5fPvP8qZpQ1+45UL/OGZq+TuYW1Kqd7gtYV1XltYv2U85nUxFvYzGgowFvYzFvYzHu5sx33u+2rtlWEYFGsNctUa6VKFpWyBxUy3ZfOb28lSZUfi8dhtPD7WzxNjAzy5Z5BHR/rv61qXJlNnnd5w0McnD08Ane/5Sq7I6aUNTi2uc3ppnVOL69u6PjxVqvK9a8t879ryLeMBl+Mt9YonokH2RoMEXI5ti0e2zo3fp6sbGebTeRYyb7bFdIG1wvbNKXsvUY+L0bCf0ZCPkZCf0W7bFw8xGvJr3bWIiLwrwzBYyOQ5v5Lk3Epic43ZfDq/Jcf/1e+e4R985PH76r27SC/cf5mJRB4yNouFiWiQ6URmR86XKVd5YWaJF2aWNsecVguHB6IcHYxtJt061B/Ri6yIiIiIiDwUmq0251eTfO/aEt+7tsxL11e2NIFmwOXgI/tG+fiBcT6yb4y4z71lx37Q+Jx2jg3FOTYUf9v9pXqD5WyBRLFCrlLtJEov17oJ0zu3y/UGtWaLeqtFtdGi3mxRa3V6wzCwWsxYzGYsJhNWsxmL2YTZbMJts+Fx2PA6bHjsdrwOG157ZyzochJ0OQi6nYTcne2Q24nrPkwKLiIiIiIiIiIiIiIiIiIiIrIVLGYzB/sjHOyP3DLebLVZyOSZSWSZSWRYyhZYzRdZzZdYzZVYyxept3ZnkYi3U6jW37FgdLCb6GHvTQkebiR7UKIHkd4oVOtcS2aZSXaegy6vp7i8nmY2maXRo+eewYCXY4MxTgzHOTnax4nhPiIeV09iERERERERERERERERERERERERERERERERERF5kFjMZiZjISZjoVvGDcMgUawwncgwvZFhJpHhaqLTz6fztA2jRxHLVrNZzIwEO0W3R0I+Rrv9jbGBgAebxdLrMHecw2plf1+Y/X1hPnl4YnO81mwynchysVtY9uxygjPLG1tam+GGZKnCN68u8M2rC5tjPoeNwwOdOnnHu7XyDvSFH8qf0U5ottosZQtcT+W4lspyPdntUznmUjmqzVavQ9z1Wm2D+XS+W4R58S37h4JeJqMhJmJBJqNBJqIhJmNBRkN+rBbzzgcsu55hGCzniswmskx335vMJDJMJ7IsZvPsprcoZpOJI4OxXochIiLywMmUq5TqjS073o33q1+5cG1zLOBy8MhQnBMjcU4O9/HIcB/DQS8mk2nLzisiIiJyLwzDoNpsUak3KNWbVBoNyvUmpXqDXKVKplwjU66S6W5ny1WSpQrrhRKr+RKFan1H4+3zuXlu/xgfOzDOs1Ojyjcq98RkMnGgL8KBvgh/80MnqDaavDy3yndmFnl5boVTi+u74vP7tmHQbhl0/nvpfTzv5chAlKcnh3l6coT37xnE79TfqYiIiIiIiIiIiIiIiIjI8eE4/2o4zj//sad5YXaRPzk7w5cvXCNTrm7J8RPFColihdcW1t92v9NqIexxEnQ5CbudhD1OQi4nDpsVu8WC3WrGYbFgs1q6fee23Wrp7rdgs5hxWC1YTCZahkGrbdBst2m1DdqGQavdptnu9O3u/s0xo0210aJUq1Pqzk0p1euUao3uPJUauUqNbKVGrlqj1e7dwp7BgIcnxgZ5cs8gT4wNcHgg+sCvTzOZTAwFfQwFfXz6SGcdbLttcC2V5dTiOqeXNji1uM7Z5Y1tn0uRq9Q4tbjOqcW3/i7HvC4moqFuzeIAk7EQe6NB9kYCuO22bY1L3qrVbrOYKXB5Pc2VjTRXN9JcWe/0hdrWzdPfSslShWSp8ra/Xy6blclYkP3xCPv7QuyPd9aG74kEtPZaROQhZBgGS9kibyytc2ppnTeWNji9tEFuG/KB3FCqN8iUq3pfI/IerL0OQETe2//nR57k87/z1Z4ll6s2W7y+uM7rN/3zZzaZ2BcPcaSbcOvoYJSjgzEiHldPYhQREREREdkq2XKVN5Y7F3Rfur7Cy3MrW36x7shAlI8dGOdjB8Z5fLT/gb+AvlM8dhv74mH2xXsdiYiIiIiIiIiIiIiIiIiIiIi8HavF3EloEA3y8YPjb9lvGAbpcpWVXJFUqUK6VCVVrpApVUmVq6RLVdLlW8eLW1gwbytlK7W3rMW4IeJxMhYOMBryMdrtx8L+buF6Py7bg73kyzAMGq02jXabZqtNo9VJumE2mTCbTJhMJkymN287rVbMZhUolNtTb7aYS+eYSWSZTWaZTWSYSWaZTWRZK5R6FpfJBFOxEEcHYxwdjHFssLMeK+p19ywmEREREREREREREREREREREREREREREREREZGHkclkIu5zE/e5eWrv0C37as0m15I5phMZriWzLOeKLGUKLGYLLGUL21p8U+6MyQR9Xg9DQS+DgU4bCvoYDHgZCfkYCfro83m0RvUOOKxWjgxEOTIQ5XPdMcMwWMwUeGN5gzPLG5xZTnB6cZ10ubrl5y/UGvxgboUfzK1sjtktZg72R9jfF2ZfPMz+eJh98ZAKpN+mfLXGYqbAQibPfDrPtWSWa6kcc6kc8+k8zXa71yE+0JazRZazRb4zs3jLuNVsZk8kwEQ0yGQsyEQ01O2D9Ps9mEx63nqQ3cirMZvMci2ZZSbR7ZMZZhNZyo1mr0O8Lf/isx8m4HL0OgwREZEHTud/Wy/L2eK2nSNXqfGdmcVb3qfGvC4eGe7j5HC804/0EfcpL46IiIi8yTAMSvUGuUqNXLXe6Ss1CrU65XqDcr1Bqd6kXG9QaXT6arNJo9mm1mpRb7ZotNrUu9v1Vud27cZ28819lWYTw+j1V/zOHFYLj4708ey+MT5+YIwjAzFdi5Bt47RZeWZqhGemRoBOvs2zKwl+cH2Fl+dXeXluhUSx0uModxebxcyBvjCPjvTzzNQIH9w7pLyfIiIiIiIiIiIiIiIiIiLvwm618NH943x0/zj/8idbfHd2mT8+N8OXz8+QKm39OsIbqs0WK7kSK7ne1ZfcjUwmONQf5YnxAZ4cH+SJ8QFGgj6tOQPMZhOTsRCTsRCfO3kAgGarzaX1FKcW13ljaYNzKwkurCapNls7ElOiWCFRrNyyLvaGfp+H8UiAPd1283bY7dTP9B40Wi2uJXNc3UhzZSPN5fU0VzfSTG9kduxnvxMqjSbnVpKcW0neMm6zmJmIBtkXD7E/fmMNdoipWAjnA14PW0TkYbJRKHff46xzammDN5bWd3zO6I1cLiLy7vQOTOQ+8OPHpvhjj4v/evoKVxMZas0WlUaTWqNJtdmk2ujcrrf2nJoAAQAASURBVOxg0pe2YXB5vfNP7X9948rm+GDAy9HBKMcG4xwdjHJ0MMZY2K8PEkTkgWAYBtlKjbV8iY1CmXS5Qra7WDVXrZGr3Fi8WqVUb1LdfJ5uUmu2qDZbVBtN2u+yAtVmNuO0WXHYLLisVhw2Ky6bBYfVis9hJ+h2EHA6CLg6/Y3bEa+LPp+bmNeN12Hfwe+KiIjcDcMwKNTqrOfLbBRKJEuVWxIhZCvVzutKtUaxVn/b/wGqjSatd3lNsZrNOKwWnDYrzht9d9vrsBNyOzvN5SDodhJ0OQjd1IfcTgJOB1aLeQe/MzsvU65yYTXJ6aUNTi91LtpeT+W2/DxBl4Nnp0Z5bv8Yz+4b1QeXIiIiIiIiIiIiIiIiIiIiIiJvw2QyEfG4iHhct/2YWrPJSirLa+cvkq81yNWbeMJRCo0W6VKVVLnS6UsV1gsl1gtlWu3eVpRJlaqkSlVOLa6/7f6Ay8GA30P/zc3nIep1E3Q5us25OZd4q+d5NVttSjcV7yl3+0q9Salb4KdT5KdT6KdUr1OuNynVGpTq9c5YrTu2eb/GZuGfuylG7rJZcduteOz2bm/DbbdtzqsOuOxvzrPutpjXTdznJu51K5HBA6bRarGYKXA9leN6KsdsMstMIsNsMst8Ov+uc/Z3gsNq4VB/hKODMY4Oxjg2FOPwQBSP3dbTuERERERERERERERERERERERERERERERERERE5N05rFYO9kc42B952/35ao3lbJGlbIGlbIHFTGFzeylbYCVX7Pk61geB02oh4nUx4Pd0i5L6GOoWJx0MehkK+Oj3u7FZLL0O9YFnMpkYDfsZDfv5saOTQKfexnw6z+uL67y+sMbri+ucXd7YlsLs9VabM8sJziwnbhm3ms3sjQaYioXYEwmyNxpgTyTA3kiQoaAXi/nBrrNxQ6FaZyGTZyGTZzFTYCGd37y9kCmQKVd7HeJtsZhNhFydOilehw2XzdppdhtOa2educNqwfwOtRDbhkGt2aJc79R0qXTXylcaTYq1BplylUylumuen5vtNtOJDNOJDFy6dZ/HbmMiGmQiFmQyGmIiFmQ8HGA05KPP58FsVj3I+0W+WuNaMsdMIsO1ZJbZVJbZRJbZZJZspdbr8N6Vx24j4LLjc9jxOx34nXZ8zs72gN/Dp45McHQw1uswRUREHkgmk4nf+Cuf5Cf+/Rcp1hs7dt5EscLXL8/x9ctzm2NDQS8nhvs4MRznxHAfx4Zid5QbTG5Pu22QLFVIFMvkq3UK1TqF2q19qV6n3mp38ne12tRbLZqtNo12m7ZhYDWbsFks2CxmbGYz1u62w2rpvJdzvPl+7sZ2wOkg6nXhd9pVd15EdkSt2SRZrJAuV998nqvWO8993dvleuOW57gbz3s3nu86z3Hmt32+89pteBw2PHZ7t+/kLQy4HIQ9TqIeF27lgdtUbTTZKJZJFMqsF8okimWSpQrZco18tdatr9ztKzWy3du75fO1neax23hifID37xniA3sHOTncp/yW0jN2q4XHRvt5bLSfv03nms1CJs/5lSTnVhKcX01ybiXJQibf61B3hNtm5fBglONDcY4Nxjg2GONAfxiHVX+jIiIiIiIiIiIiIiIiIiJ3w2ax8Oy+UZ7dN8q/+IkP89riGi9ML/KdmUVeXVij0brzOqTy7vxOOyeG+3h8rJ8nxgd4fHSAgMvR67DuG1aLebNm6F99ojPWbLW5mshwdnmDcysJzi4nuLCW2vH1lmuFEmuFEj+YW3nLPp/Tzp5wZ13seKTbd28/TGtk30u6VGE6kWU6ke70G2lmElmup3J3VRf5QdFotbm8nubyehqY3Rw3m0yMh/3s7wt3WrzTpuIhvA577wKWLdNotbo10Stvu/4gX61RqjU25+E2Wq23zMe9nfUHfqcD301rEYIuBxGP1h+IbKdUqcLZ5QSnl9Y5vbTB6aV1lrPFnsbksdv4jZ/7pP7uRW6DZi6L3Cc+ODHMByeG3/U+pXqDjUKJ9UKZ9Xy3L5RYyRW5lswxm8yQKm3vBwwruSIruSJfuzS3OeZz2jk6EOXYUJwjA1H294WZioX0IZKI7Bo3Fq2u50tsdBeurnefTzcKnbG1br/dFxpqtO45WYfbZiXucxPzuYl73cR9HuJeFzGfmz6fh5jXTdznIu7z4NHiZRGRLdVotUgUK5vvxzffnxdufY3ZKJSpNJrbGkuNFqUtSADlc9q7yVY7H7aH3S6iXhcRj4tINxlGxOvq9B4XIZdz1yUdrTWbLGYKTCcyzHQv2k0nsswkMiRLlW05p8kEj4708dy+MT6yf4yTw31YLbqIKiIiIiIiIiIiIiIiIiIiIiKy1RxWK/1+D3uDns2xQ4cO4XK9fbG6dtsgVa6wli+xli911l1ki8yl88ylc8ync6zkSjsV/tu6UWynsyD/vfkcNtx2G3arBafV2u0t2K0WHFYL0CmcbRg3eoO2AS2jTaXepNwtol3q9rsxOcuNIt93uy7G57TT5715jnWnxW5s37RPBX12h2KtzvVUjrlUjuvdNpfu9EvZwq4oQmUywZ5wgP19YQ70RdjfF+bIQJR98RA2i6XX4YmIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIyBbzOx34+x0c7I+87f5mq02i2KlLsJovsp4vs5Yvslbo9KlShXSpSqZSI1upYvR+qdy2slvMBF1Ogm4HAaeDgMtxy+2gy0HY4yTi6dQ7uFEHwWO3qRDpLmYymRjvFrb/C4/sAzq1Oi6upnh9cZ3XF9c4tbjOlY30tv2ON9ttrm5kuLqRecs+m8XMWMjPWNjPUNDHYMB7SxsKevE7d3f9PMMwyFVqrN60Jv7G9mquyGKmwEImT7q8vTUJ74XNYqbf76Hf72HA76Hf793cjnndhN1OQt22E0XHDcMgX62TrVRJl6qky1USxfJm3oG1fImVfHFzu1dr7kv1BmdXEpxdSbxln8NqYSToYyzsZyTkZzTsZ+xGH/YT9bj03LmDCtU6i9kCi5k8S9kCi5lOW8oWmEvl2CiWex3iW/icdkaCPoaDPoaCvs2/x7jPtZl7IeZ141ZdOxERkZ56dLSfi//TL/Lnl+e4nsqSKlVJlyukSlUy5SrpUoVksXLPdW/fy3K2yHK2yJfPz26ODQY8HBmIcWQwytHBGEcGouyNBHdd3cLdoN5svVkbOV9irVBiPX+jVvKb2xvFck9zKdksZmLdz2NiXjcRj4u4102f30Ofz02/30Ofr/O/3U787yYi95dWu02yVGEtd+vnKuv5EolShUSxTKpYIVGqUKjWex0uLpv1LXV4I+43+x+u0xvchbV530292SJRLLNRKLPxQ32i+5qUKFZYL5TI74Kfx242FQvxyHCcE8Nxnhgf5NhgTPWIZdcymUyMhQOMhQN86sjE5niuUuP8apKLa0muJXPMJrPMJjLMZ/K7IpfnnfA77eyJBNgT6XydN7bHwwGGgl4sZv19ioiIiIiIiIiIiIiIiIhsB6vFzJPjgzw5Psg/+tgTlOoNXrq+zHeml3hhZvFt1z/Ju/M5bBwfivPIcB8nhuOcGIkzHg5ofuYWs1rMHOqPcKg/wk8/ehDorC9MFCtcXk9xeT3N5fU0V7rbvVinWajW33Edoc1iZjTkZ7w7R2JPuLOet7Ou0Lfr18feqWarzXw6z9VEmplElumNNNOJLNOJ9F3XL35YtQ2Da6kc11I5/uzi9Vv2jYR87I+HOdAXZn9fmH3xMPvjYQKuB+v36X50c5311VyJ1Zvm5CZ/aD5urlLraax2i5mo10XU496cd6v1ByJ3pt02uJbKcn41ybmVBOdXkpxfTbCSK+14LB67jZjXRdjjIuR2EvE4CbtdhN1O9kQC/MjBPfic9h2PS+R+ZO11ACKydTx2G3siQfZEgu94n0y5ymwyy0wiw2wyy5X1NGdXEsyn89sWV6Fa5/vXV/j+9ZVbxvt8bqZiIabiYfbFQ0xEg5uJiVw2PT2JyL1ptw0ylWonaUI3Ed7GjQQKhe4i1kKJtUK55x9abLVyo8lcOs/cbTy3+xw2+nwe+roJ9/q7230+NwP+G9v6sEREHm43EoHeSMJz43VkrfvastF9bVkvlB7Ii0OFap1Ctc7CW3Pnvi2zyUS4+4FdJwGGi6DLQcDl7CZ17iR3Djgd+F123DYrzm67se2yWbGYzRiGQatt0DY6rWUYtNsGlUaTUr1OsdagUKtTqjUo1jpxdhKzdhLfruSKrOaLO/Zz6fO5eW7/GB/ZN8azUyOEPa4dOa+IiIiIiIiIiIiIiIiIiIiIiNw+s9lEzNspfHt0MPa296k0miyk88ylc8ylcp25uanc5u1qs7XDUb+7Qq1Boba9BQHvdzfmws0ks+9536DLsVnQfHOu9Y3F6DfNufaocPJdMwyDTLnKSr7ESrYz328lV2Q+k+N6qvN3lihWeh3mJrPJxJ5IYDPhxf54mIP9ESZjIa2BEhERERERERERERERERERERERERERERERERGRTVaLmYGAl4GAl0eIv+t9W+02uUqNTLlGulwhX61TqNU38+4XqvXuGtI6tWaTerNNvdWi3mz9UH/zeHtzvNFqYzaByWTCYjZjNoHFZMZsMmE2mzCbTFhu9N3tG/d9uxoCN+oI3GidMQtum61zP7uVoMtJsFuTIOh24rRaVO/mIWGzWDg+HOf4cJzPv/8oAPlqjTeWNnh9cZ3XF9Y4s5xgKVvY9lgarTYzyey7rit22ayEPc5ubQ0XYbdrs8aGz2HH47DhsdvwOGx47TY8DjtuuxWb2YLF3Pk7sZhNWLu92WSi2W7TbLVptg2a7RbNlkGz3fmbLDUaVOpNyvUG5Uanr9Sb5Ko1UqUK6VKVVLlCqlQl0+1ru2xN+9vx2m3siQbYEwmwJxJkbyTA3miQ8UiAQb8Xs3n3/P2bTKZOrRSXg7Fw4F3v224brBVKzKVzzKe6eQfSnXXQ86k8G8XyDkV9q1qz9a6/2y6bldGQj9FwgJGQjwG/l8FAZ938gN/LgN9DwOXQ8/JtaLRandpE+RKL2QKLmQKLmTxLN7azhV1Z985htTAe9nfrmQYYjwQYC/sZDvoYDvoIuBy9DlFERERuk89p5y88su8d9xuGQapU4Vqq8z71ejLb3c5ydSNDvlrflrhWciVWciX+/PLc5pjbZmVvNMhkLMjeaJCJaKefjAaJeFwP3PvPYq3Oer5Tx/JGreS1bt3kjZu20+X7o6Zlo9Xe/Lm+F6fVslnjuN/v3szPNfBDubrCbteu+n9QRO5cu22Q7daFX8uXWM0XWc2XOtu5Ynes8xzYahu9Dve2VRpNlrKF2/6M8kZt3qi3U5c36nER9rgIuTv1eAM31eYNuBz4nfZbPz+3Wu/o+dAwDGrNFrVmi0qjSbXRpFCrk6vUOq1a29zOVmokihUSxU5N5Y1ihcx98tqzm1jNZsbCfo4ORjkx3MeJ4TjHhuL6DEUeCAGXg6f2DvHU3qFbxhutFvPpPLPJLAuZfOf6RKlCulwlXepcn0iVK2TLNcqNBsY2PM2bTSaCLgcht5OQ20HQ1bk+c+P95JvvLT3EfW58TvvWByEiIiIiIiIiIiIiIiIiInfMY7fx0f3jfHT/ONCZU3l5Pc2F1SQX11JcXE1yYS2leSx0vlf74qHNupc3+vFwQHMse8RkMhH3uYn73Dw9ObI5bhgGiWKFK+spLq2nubKR5vJaisvr6Z7NB2602swms8y+wzrCgMvBSNDHSMjHSMjPSNDXrb3rJu7r9LtpHWG53mCjUO6uzyuymMnfsmZvMVug0Wr3OsxNLpuViKez5jjqcRHxuoi4XXgdduxWC45us1s6vc1iptlub87/qzdb1Lrr/ku1BulylWSpQupGK1Yo1ne+/nTn+13gG1fmbxkf8HuYjIUYD/sZj7y5XnhPJKC5dPfIMAxyldrbzsddyxdZzb05H3c3/Q28m/odrD9w2az0+dy31AHvu1EbXOsP5CFQaTSZTWaZ3kgzvZFhOpFlOtHZLjeaOxaH32lnXzy0mQtivJsPYm8k8ECu+xLpFWuvAxCRnRVyO3lstJ/HRvtvGc9VapxfSXD2RltOcGUjva0L8NYLZdYLZb57bfkt+/p8bkbDfkZDnTYc9N2yODjudWO3WrYtNhHZfW4sHr6xgGxzMVnpRvK7KslSmY3uc8tGoUyzfX98aNFLnWSh7570EDoflmx+MOJzE/a8mfgw7HYS9jiJuDsLmsMeJx67Tf+0iciuZRgG+Wr9zYsf3deRVKnSfY3pXBxJFDoJejYK5fsiuepu0TYMkqUKyVIFyPQ6nG1ls5h5YmyA5/aP8dz+MY4MRPX6JyIiIiIiIiIiIiIiIiIiIiLyAHDZrJ1EG33ht+wzDIP1QrlTeC/VSaxwLXmjz1HqwWJ82VrZbmGly+vpd72fz2Gj3++lz+cm5nN3Ej24nd251rfOt454XDhtD/ZSvhsJChLFChvFMslimUSx0ulLlc3b6/kSK7ki1V04N9NsMrE3EuBAf4T98TAHus8DU7HQA//zExERERERERERERERERERERERERERERERERGRnWUxmwl7XIQ9LiYI9jockS3ndzp4enKEpydHNsfSpQrnVpKcXUlwZnmDcysJphMZjO0rlfe2Ko0my9kiy9nizp74PhRyO9l7U9H4vdE3t2PeB7OwsNlsYjDgZTDg5QN7ht6yv1RvMJ/OM5fKMZ/OcT2VYy6d53oyy1w637O6aZVGkysbGa5svHOtmBtF22M+NzGvm5jHRdTrJuZ1EfO6CXucBJwO/E4HAZcdv9Nx39eLrDaaZCs1cpUauWq3v2k7U66RKJZZL5S6te9KpErVXof9jixmE+PhAJOxIFOxEJOxEBPRzt/kgN+L2fzg/U2KiIjIW5lMJqJeN1Gvm/eNDdyyzzAMFrMFzq8kOb+S4PxqkvOrSa6nctsSS7nR3DzHD/M57QwFvAwFfQx332MPBX0MBb30+TyEPU7Cbic2S+/ec7ba7W4dy06t5MyNOsnl6mYty/V8573ier5E8SHOMVZttphP55lP59/1flazmbjP3a2B3KlHv1kP2e+m/6b69FaLeYeiFxHDMCjU6pu13xPFG3XgOzV7N1uxxEahorrw/HBt3rtjt5hx2qw4rBZMvP3/7I12m2qjSbXZ3PHPSR8Gfqedfr+HsXBg8zOUiWiQvdEAI0G/XovkoWOzWJjsfq74XgzDoNJoUqo3KNUanb7eoNpo0jYMWu1uM9oY3dsAdqsFu8WC3WLG1t22Wcy4bFbCbid+p0OfY4qIiIiIiIiIiIiIiIiIPAC8DjuPjfbz2Gj/5phhGKzlS1zZSG/OOey0HPPp/D3NxdlNrGYzgwEvIyFfpwX9m9sT0RBDAa3xuV+YTCbiPjdxn5sP3bQW1jAMEsUKM8kM15JZZhKdusUzySzXk9me1mK9sT7u7eZv32C3mIn53MS9bsIeFyGXk5DbQdjtJOR2EnR31hHarebu3I6b53qYMZtMtA2j2zrz6drtNm2D7nySOsXam3NKCrU6xVqddKlKolgmWayQ6Nav3W01nmNeF+PhACMhP6NhH6Mh/2YbDHrx2G3bHkOl0WQ9X2Ihk++0dGFzez6dZyW3c2ufV/MlVvMlXpx9676gy8FIyMdQwMdgsLseoNsGAz5iPhc+h/2BXGf8bord+bgb3bm4S6ksF+cWyFQbZKp1Kt+9SqJUIVEoU289vPNxK40mc+k8c++x/sBmMRPz3rr+YMDfWXPw5lqEzppozfmU3aTSaLKSLbKYzbOYKXRaNs9COs9itsBStrDjc8P3RAIcGYh22mCUI4MxRoK+h+55WqQXrL0OQER2h4DLwVMTwzw1Mbw5Vm00ubye5uzyBmdXEpxdSXBhJUm50dz2eNa7CwlfnV97x/uE3U76/B5i3s6HB0F35wOEzgcJToIuBz6nHa/Djsduw+uw43XY8DpsPV0cLvKwMQyDarNFqdb5UK5Yb1Cs1Tc/nCt2x0s3jRdrDTKVKulSlXS5QqpUIVOu0dYq1p6pNJpcT+VuO/GHw2oh4nESdruIeFyEPZ2FeV5753nYs/ncfKN1bnu6297utp6vReRmhmFQb7U2Xytu7zWlTq5a6yTmKVW6ry1VJaSQu+K0WnhstJ+n9g7x1N4hHhsbwGXTRysiIiIiIiIiIiIiIiIiIiIiIg8Tk8lEv7+ziPj9ewZv2WcYBuuFMrPJToKHm/vrqRyVHViPITunUGtQSGSYTrxzEe6beew2wh4nEberW/zQhddhw2234rLZcNmtuG2dbbfdittuw2WzdsffvJ/TZsFmNmO1mLGaO81iNt3Wglyjm4ij0WrTbLdptQ0arRbVZotKvUml0aDU7Sv1JuVGk0q9QbnRpFxvUGk0N8eLtTqpUuWmJB33T8Ewh9XCnkiAqViIA30R9veFOdAXZjIWxGHVvEARERERERERERERERERERERERERERERERERERGR7RD2uHhmaoRnpkY2x0r1BhdWk5xdTnBuJcGZ5Q0uraUe6sLaO63P52ZPJMjeaIA9kSB7IgH2RgLsiQQIup29Dm/X8dhtHOqPcKg/8pZ9zVabhUyemUSW2WSGmWSW2USWmWSG5WyxB9He6naLtt/MZbPid3bqizltVlw2K85uc9msOK1WXDbLrWPd3mG1bK6JN5tNm2vjLSYTFrMJwwCDzjr4G9XpDMOg1e7UKKo3W9Rb7W7/5u1as0Wj1er27c19N+oU5Sp1cpUauWqNWrO1Ld/L7RbzupiMhZiMBjt9LMRULMR4xK+6biIiIvKuTCYToyE/oyE/nzy8d3M8X61xbiXJG0vrnFrc4I2lda7dZn3au1Wo1rlcTXN5Pf2u9/M5bITcLsLd2uQ+p73zntJqxWXv5FxyWTvvMy3mTp4lE93e1PmaDcOg1uy8L6x13x9Wu7cr3XxJxdrN9S7rFLq3VSp5azXbbVZyRVZy7/4/kMkEUU/n5x50O7v16d+sTR9wOfDYO7m3PHY7nm5eLo/D1um7zW7V+2N58BmGQbPdptq4+TmtTqHaeS5LF4tMX1+j1GiSrzexzaQo1JtkKlUy5SqZco1UqaJciD1Qb7W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AAAAAAAAAAAAAAACgEGXSDgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABQiDJpBwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoRJm0AwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUokzaAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKUSbtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACFKJN2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIBClEk7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAhyqQdAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKAQZdIOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFCIMmkHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAChEmbQDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABSiTNoBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAApRJu0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIUok3YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgEKUSTsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQCHKpB0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoBBl0g4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUIgyaQcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKESZtAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFKJM2gEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAClEm7QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAhSiTdgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAQpRJOwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAIfp/8WPb8fOwZwMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 11902.5x6900 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd94d763",
   "metadata": {},
   "source": [
    "Plot one variable by setting `var_names=\"var1\"`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "dd8d6bf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names='mu');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73eff0c2",
   "metadata": {},
   "source": [
    "Plot subset variables by specifying variable name exactly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "24c96f50",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 7935x1725 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=['mu', 'tau']);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c4602aa",
   "metadata": {},
   "source": [
    "Use `var_names` to indicate which variables to exclude with the `~` prefix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "19387ec6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=['~mu', '~theta']);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9662e93e",
   "metadata": {},
   "source": [
    "Variables do not need to be strings to be used. Anything that is\n",
    "hashable will work."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9b492c57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu = (\"mu\", \"var\")\n",
    "samples = np.random.normal(0, 1, 100)\n",
    "data = az.dict_to_dataset({mu: samples})\n",
    "az.plot_posterior(data);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bead93c6",
   "metadata": {},
   "source": [
    "(common_filter_vars)=\n",
    "## `filter_vars`\n",
    "If None (default), interpret `var_names` as the real variables names,\n",
    "as shown in {ref}`the previous section <common_var_names>`.\n",
    "This argument is inspired in {meth}`pandas.DataFrame.filter`.\n",
    "\n",
    "If `“like”`, interpret `var_names` as substrings of the real variables names.\n",
    "Each substring is checked against all present variable names and the\n",
    "list of matching variables to be plotted is generated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e9449903",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 11902.5x5175 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names='ta', filter_vars=\"like\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bf49ef1",
   "metadata": {},
   "source": [
    "Both `tau` and `theta` have `ta` inside them, so only `mu` is excluded in this case.\n",
    "You can also use lists and you can also use the `~` prefix to indicate\n",
    "that all variables containing that substring should be excluded."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b2900990",
   "metadata": {},
   "outputs": [
    {
     "data": {
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112xpOxwf/JcH4re//ki8ffEVcX3TtFjcUBdX1E2MyoqK19yhWCzGziMn4pGdrbF+V2ts2L0/2k6euZR/O0lVFRVx1fTJMWnMyBg7oibGjqiO2hE1MXZETXR290TryVPReuJ07D9xKg6cOhPF4mv/PZ7YdyDe83dfjTsWzIo/fcftMXPiuD7rP5Q9te9A/ObX1pXM3754frz/lmszNoLBp1AoxKL6qfHIrtZXZJtbDw1AIwAAAAAA4LUyOAMAAAAA6GNPtxyKM51dyWyVwRlctkKhEO+5bmG84co58Yf3b4xPrN8cvRexujp6piM+uWFLfPLf/9+jq6vi6vopsbihLiaMGvFv/9pR+PffI6K3WIwz57vi5Y7OOHX+fLzc0Rkvd3RG64lTcfDUqw/dLta4kTVx06wZcfOc+rh51oxY2jQtRtdUX9Sv7erpidYTp+OxPW2xZntLrN3eEgdOXfz47cFte2P5n3wmfusNt8RPLV90SQO84eL42Y74ic98M7p6epP53CkT4mPvfJ2LcRARixvqkoOzZ/YbnAEAAAAAQDkwOAMAAAAA6GOP7NqffB9TUx1LG+syt4Gha/yoEfE/fmB1vPeGK+M/fXlNbCxxWbCUs13d8cTeA/HE3gP91DBt/KgRsaK5IVbNbYwVzQ1x9fQpUVFxaSOl6srKmD15fMyePD7uvf7KKBaLsfXgsVi7oyW+tHl7PL731f8zOdPZFb/+1Yfji8+8FB9/1x1x5fTJl9RlKOvtLcbPfe7+aDl+KpmPrKqMv3vfG2PcyBGZm8HgtKhhavJ926Fjca6rO0ZV+zE1AAAAAAAMZv4kHwAAAACgjz2yMz04u3n2jKiurMzcBoa+a+unxjf/w7vic09vjQ8/8HjsPnpyoCv9PyoKhbh1XmPcsWBWrJrbGFfPmNJvl8QKhUJcOX1yXDl9cvzsisWxfldrfOTBx+PhHel/Ln2vJ/YdiFs//k/xK7ffEL/8uhtiRJUfI33XH96/Mb714u6S+YffdltcW58e2MBwtKTEwL6ntxgvtB+J62dOz9wIAAAAAAB4LfykEAAAAACgD53v7i55ZWnl3MbMbWD4KBQKce/1V8YPLl0YD2zbG5/YsDke3LZ3QDvdOGt6vGvJgnjbovlRVzs6++9fKBRi5dzGWDm3MTbuaY+PPPj4q/5n0tXTG3/0wOPx9ed3xd+89/WxcJprZ1/a/FJ85MHHS+b3Xr8w3nfjVRkbweA3d8qEGFNTHWc6u16RbW49bHAGAAAAAACDnMEZAAAAAEAferrlUJzr6k5mBmfQ/yoqCnH3lbPj7itnx/ZDx+OTj26Jf3ryhTh1/pWjh75WKERcO2Nq/MCiefHOxVfE7Mnj+/33vFjLZs+IL7z/rfF0y8H4ta+siSf3Hbzg1z/XfiRu//g/x++/ZVX85M3XRqFQyNR0cNnSeig++C8PlMwXTpsUf/z224ftfz5QSmVFRVxTPyU5wt/cemgAGgEAAAAAAK+FwRkAAAAAQB96ZOf+5HvtiOpY0lCXuQ0Mb/PrJsYfvfXW+M3X3xJffXZHPLanLTa3HooXDxyL7t7ey/7XrygUYlH91FjR3BAr5jbELbPrY8LokX3QvP9c1zQtvvVz746/2bAlPvTNDXG2xEA2IqKjuyd+9Utr4oGte+PP331HTBmb/0rbQDp06my89++/VnJEPLamOv7ufW+MMTXVmZtBeVjcUGdwBgAAAAAAZcrgDAAAAACgD60rMTi7eU5DVFVWZG4DRETUjqyJH77xqvjhG6+KiIiOru544cDReGb/odjceij2HX85eovFKBYjisViREQU//3Xjq6pjnEja2LcyBExbmRN1I6siXEja2L2pPFx06wZMX7UiAH6d3XpKisq4gMrl8SbrmqOX/7X78R3Xtp3wa//1ou7Y+VHPxt/+Z674nVXzMrUcmCd7+6OH/mHr0fridPJvFCI+Osfen0snDY5czMoH4sbpibfXzhwNDq7e6KmqjJzIwAAAAAA4GIZnAEAAAAA9JGOru54Yu8rL3lERKxsbsjcBihlZHVVXNc0La5rmjbQVQbUzEnj4gvvf2t87umt8V//z7o4fraj5NcePHU23vnJr8TPr14av/3G5VFdOXSHIsViMX71S2vi8RL/PI+I+I3X3xJvuro5YysoP4tLXHbt6umNrQePxiKXXwEAAAAAYNDy1+kCAAAAAPSRp/YdiI7unmS2am5j5jYAr65QKMS9118ZG3/1fXH3wtmv+vV/8fCmePvffDkOnTrb/+UGyCfWb45PP/FCyfzti+fHr9x+Q8ZGUJ4W1E2KkSWumG1uPZy5DQAAAAAA8FoYnAEAAAAA9JF1O/cn32tH1sSihqmZ2wBcvKljR8c//8Rb4sNvu7XkQOS71u9qjdv/7J/iyX0HMrXL51+feSn+6/9ZVzJf3DA1/uLdd0ahUMjYCspTVWVFXD1jSjJ7pvVQ5jYAAAAAAMBrYXAGAAAAANBHHtnVmnxfPqc+Kiv8cSwwuBUKhfjp5YvjO79wb8mRyHe1nTwT9/zVF+LvNz6XqV3/+8bzO+Nn//m+6C0Wk3nd2NHx6R97c4yuqc7cDMrXooa65PsWgzMAAAAAABjUfMIBAAAAAKAPnOvqjif2tiezVXMbM7cBuHRXTp8cD/z8D8bPrVpywa/r7OmNX/rid+IXv/BgnO/uzlOunzy4bW/8xKe/Gd29vcm8prIi/vHH7onGCbWZm0F5W1LiwutzbUeiq6cncxsAAAAAAOBiGZwBAAAAAPSBJ/a2R2dPeqhgcAaUm5HVVfEHb1kdn3//D8Sk0SMv+LX/8Pjz8ca//ELsOXoyU7u+tX5Xa/zIP3y95D/DIyL+9B2vi5tmzcjYCoaGxSUunHV098TWg8cytwEAAAAAAC6WwRkAAAAAQB94ZGdr8n38qBFx9YwpmdsA9I07F8yOh37h3lhc4krRd23afyhWf/yf4stbtmdq1jee3Hcg7v3br8a5rtIX2n7tzpvih2+8KmMrGDqunD45airTP5J+Zv+hzG0AAAAAAICLZXAGAAAAANAH1u3cn3xf0dwQlRX+KBYoXzMnjYtv/ty744euv/KCX3eqozN+4tPfjF/514cuOOAaLJ5tOxzv+t9fidOdXSW/5udXXxe/dteyjK1gaKmpqoxr6tOD1U0GZwAAAAAAMGj5lAMAAAAAwGU629kVT7UcSGar5jZmbgPQ90ZVV8X//ME744/ffltUl7hW9F1/99izcddf/Eu8dOhYnnKX4PG97fG2T3wpTp47X/Jr3n/LtfF796yIQqGQsRkMPUsa65Lvz+w/mLkJAAAAAABwsQzOAAAAAAAu0+N726OrpzeZrTQ4A4aIQqEQ779lUfyfn31nTK8dc8Gvfb79SNz+8X+OzzzxQhSLxUwNL87XntsZb/3rf41jZztKfs17b7gyPvzW24zNoA8sLTE4e679SJzvHvzXEAEAAAAAYDgyOAMAAAAAuEzrdu5Pvk8aPTKumjY5cxuA/rVs9oxY80v3xup5Fx7Unu3qjp///APx9r/5cuw8fCJPuVfxifWb40f/8evR0d1T8mvevnh+/Nm77oiKCmMz6AtLGqcl37t6euPFA4P3EiIAAAAAAAxnBmcAAAAAAJep1OBsRXODwQIwJE2rHRP/+lNvi994/c1R8SpXwNbuaIkVH/1M/PGDT0TnBYZe/am3txi//fVH4te+sjYudHDtTVc3x1/fe3dUVvgRGvSVhXWTYmRVZTLbtP9g5jYAAAAAAMDF8NMyAAAAAIDLcPp8Z2xqOZTMVs698PUfgHJWWVERv3rHTfHVn31HzBg35oJfe767J/7g24/G6o99Nh7d3Zap4Xd/7+746X/6dvz52qcv+HV3LpgVf/vDb4jqyvQwBrg0VZUVcW3D1GT2zP7091AAAAAAAMDAMjgDAAAAALgMG/e0R3dvbzIzOAOGgxXNDbHul98bdy+c/apfu+3Q8XjTX30hPvDP98W2g8f6vduG3a3xhv/5hfjXzS9d8Ot++Iar4rM//uYYUVXV751gOFraOC357sIZAAAAAAAMTgZnAAAAAACXYd3O/cn3KWNGxZXTJmVuAzAwJo8ZFf/042+J33/zyqiufPUfP33u6a1x8598Ot7391+LJ/a293mfHYePx4/8w9fjnr/6YjzTeuELSr92503x5+++w2Uz6EdLG+uS7y8eOBbnuroztwEAAAAAAF6Nv6YRAAAAAOAyrN+VHpytnNsQhUIhcxuAgVNRUYgPrr4u7lgwK375iw/FY3vaXvXXfP35XfH153fFiuaG+KXbr487rph1Wf/sPHrmXHz4gcfjbx99tuT1ye+qrCjER9/xuviRm66+5N8PuDhLSgzOunt74/n2I3HDzOmZGwEAAAAAABdicAYAAAAAcIlOdXTGpv3pyzkrmhsztwEYHBZOmxxf/8A749NPPB+//Y31cfLc+Vf9Net3tcb6Xa3RMGFs3LVgdtx95ey4dV5TjK6pftVf29XTExt2tcX/eW5HfH7Ttni5o/NVf82Ymur4u/e9Me5aOPti/i0Bl2n+1IkxpqY6znR2vSLbtP+gwRkAAAAAAAwyBmcAAAAAAJfo0d1t0dNbTGar5hqcAcNXRUUhfnTZNfGGq5rjN7+2Lj6/adtF/brWE6fjUxufi09tfC5GVFXGyrmNcccVM2PyqJo4fvB4jKmuirHVlTHp5TPx4q62+Npzu+KbL+yKExcxavuuurGj43M/+QMlLy4Bfa+yoiIWNUyNR3e/8vLhMyXG+wAAAAAAwMAxOAMAAAAAuETrdu5PvteNHR1X1E3M3AZg8KmrHR2f+KHXx73XL4z//OW1sfPIiYv+tee7e+LBbXvjwW17Xxl+c9Ml9XnDlXPiI2+/LRon1F7Srwcu3dLGuuTgrNS1WAAAAAAAYOAYnAEAAAAAXKL1u9KDsxVzG6JQKGRuAzB4ve6KWfHY//e++MqzO+JjDz0Zz7Ufyfr7L26YGh+6Z2WsmteU9fcF/q8ljdOS79sOHosznV0xpqY6cyMAAAAAAKAUgzMAAAAAgEtw8tz52Nx6OJmtmtuYuQ3A4FdVWRHvXHJFvGPx/Hjwpb3xsYeeivW7Wvv192yYMDZ+6w3L491LFkRFhSEwDKSljXXJ995iMZ5tOxw3z67P3AgAAAAAACjF4AwAAAAA4BJs2N0avcViMjM4AyitUCjEnQtmx50LZsfje9vjz9Y8Fd96cXf09Kb/mXopakfWxC/ffkN8YOWSGFXtx2EwGDRPnhC1I2viVEfnK7Jn9h8yOAMAAAAAgEHET9gAAAAAAC7B+p3pqzzTa8fE3CkT8pYBKFM3zZoRn/6xN8eJsx3xnZf2xX1b98QD2/bE0TMdr/lfa0xNddy1cFbcc/XceP2Vc6J2ZE0/NAYuVUVFIZY01MW6nftfkW3af3AAGgEAAAAAAKUYnAEAAAAAXILUh6UjIlbObYxCoZC5DUB5mzB6ZLxjyRXxjiVXRE9vbzzdcjDu27on1u3cH+0nz8TLHefj5Y7z8f1H0CaOHhlvuqo57rmmOW6bP9M1MxjkljSmB2fP7D80AG0AAAAAAIBS/NQNAAAAAOA1On62I55tP5zMVs1tyNwGYGiprKiIG2fNiBtnzfj/v507dy6ef/75ONfdE2e6emJa06yYWDs2GifURlVlxQC2BV6LpY11yffth4/Hyx3nY9zIEZkbAQAAAAAAKX4CBwAAAADwGj26uzWKxXS2cm5j3jIAw0ShUIjR1VUxdfSIWDhtUsyePN7YDMrM0sZpyfdiMeLZ1vSYHwAAAAAAyM9P4QAAAAAAXqN1O1uT7/Xjx8acyeMztwEAKA+zJo2LCaPSV8w27T+UuQ0AAAAAAFCKwRkAAAAAwGu0buf+5PuquY1RKBQytwEAKA+FQiGWNtYlM4MzAAAAAAAYPAzOAAAAAABeg2NnzsXz7UeS2aq5jZnbAACUlyWN05Lvz+w/mLkJAAAAAABQisEZAAAAAMBrsH5Xa8ls5dyGjE0AAMpPqQtnu46ejBNnOzK3AQAAAAAAUgzOAAAAAABeg3U79yffmybWxqxJ4zO3AQAoL6UunEVEbG49nLEJAAAAAABQisEZAAAAAMBr8EiJC2er5jZmbgIAUH4aJ4yNKWNGJbNN+w9mbgMAAAAAAKQYnAEAAAAAXKQjp8/GiweOJrOVzQZnAACvplAoxJLGumT2zP5DmdsAAAAAAAApBmcAAAAAABdpfYnrZhERK104AwC4KEsbpyXfNxmcAQAAAADAoGBwBgAAAABwkR4pMTibNWlcNE2szdwGAKA8lbpwtu/4y3Hk9NnMbQAAAAAAgO9ncAYAAAAAcJFKXThb2ey6GQDAxVpaYnAWEfF0iytnAAAAAAAw0AzOAAAAAAAuwtEz5+LFA0eT2cq5DZnbAACUrxnjx0b9+DHJbNP+g5nbAAAAAAAA38/gDAAAAADgImwocd0sImJ5s8EZAMBrcV3T9OT7Uy0GZwAAAAAAMNAMzgAAAAAALsL6EoOzpom1MXPiuMxtAADK29LGuuT7ppaDUSwWM7cBAAAAAAC+l8EZAAAAAMBFKDU4W+G6GQDAa3Z9iQtnR86ci5bjpzK3AQAAAAAAvpfBGQAAAADAqzh+tiOeP3Akma1sbszcBgCg/C0pceEsIuKplgMZmwAAAAAAAN/P4AwAAAAA4FU8urs1isV05sIZAMBrN37UiJg/dWIye7rlUOY2AAAAAADA9zI4AwAAAAB4Fet3tSbf68ePjVmTxmVuAwAwNFzXNC35/rQLZwAAAAAAMKAMzgAAAAAAXkWpwdmK5oYoFAqZ2wAADA2lBmebWw9HT29v5jYAAAAAAMB3GZwBAAAAAFzAyXPn49m2I8lsZXND5jYAAENHqcHZmc6u2HboeOY2AAAAAADAdxmcAQAAAABcwKO726K3WExmK5obM7cBABg6rpkxJaor0z+yfrrlQOY2AAAAAADAdxmcAQAAAABcwPpdrcn36bVjonnK+MxtAACGjpHVVXH19CnJ7OmWQ5nbAAAAAAAA32VwBgAAAABwARt2pwdny5sbolAoZG4DADC0XDdzWvLdhTMAAAAAABg4BmcAAAAAACW83HE+Nremr2usnNuQuQ0AwNBzfVN6cPZ8+9Ho6OrO3AYAAAAAAIgwOAMAAAAAKGnjnvbo6S0msxXNBmcAAJdraWN6cNbd2xvPth3O3AYAAAAAAIgwOAMAAAAAKGn9rtbke93Y0TF/6sTMbQAAhp4r6ibG2JrqZPZ0y8HMbQAAAAAAgAiDMwAAAACAkjaUGJwtb66PQqGQuQ0AwNBTWVERSxrrktlTBmcAAAAAADAgDM4AAAAAABJOn++MTfsPJbMVzY2Z2wAADF1Lm6Yl3zcZnAEAAAAAwIAwOAMAAAAASHh8b3t09/YmsxXNDZnbAAAMXdeXGJztOHIiTp47n7kNAAAAAABgcAYAAAAAkLB+V2vyffKYkbFw2qTMbQAAhq7rmqaXzDbtd+UMAAAAAAByMzgDAAAAAEgoNThbPqchCoVC5jYAAENX44SxMXXsqGT2VIvBGQAAAAAA5GZwBgAAAADwfc52dsXTJT7cvHJuY+Y2AABDW6FQiOuapiWzUt+TAQAAAAAA/cfgDAAAAADg+zyx90B09fQms+XNDZnbAAAMfdc3TU++bzI4AwAAAACA7AzOAAAAAAC+z/pdrcn3iaNHxlXTJmduAwAw9C1tqku+t798JtpOns7cBgAAAAAAhjeDMwAAAACA77N+1/7k+y1z6qOiopC5DQDA0Hdd47SS2dOunAEAAAAAQFYGZwAAAAAA36OjqzueKvGh5pXNDZnbAAAMD5PGjIrZk8YlM4MzAAAAAADIy+AMAAAAAOB7PLnvQJzv7klmKwzOAAD6zXVN05PvBmcAAAAAAJCXwRkAAAAAwPdYv6s1+T5uZE1cPWNK5jYAAMPH9U3Tku+b9h+M3t5i5jYAAAAAADB8GZwBAAAAAHyPUoOzW+bUR2WFP1IFAOgvS0sMzl7u6Izth49nbgMAAAAAAMOXT0cAAAAAAPy7893d8cTe9mS2orkxcxsAgOFlccPUqKwoJLOnWg5kbgMAAAAAAMOXwRkAAAAAwL97quVgdHT3JLOVzQ2Z2wAADC+ja6rj6ulTktkTew3OAAAAAAAgF4MzAAAAAIB/t2FXa/K9dkR1XFs/NXMbAIDh58ZZ05PvT+4zOAMAAAAAgFwMzgAAAAAA/t36EoOzZbPro6rSH6cCAPS3G2amB2cvHDgapzo6M7cBAAAAAIDhySckAAAAAAAiorO7Jx7f057MVjQ3ZG4DADA83ThzRvK9t1iMZ/YfzNwGAAAAAACGJ4MzAAAAAICI2LT/UJzt6k5mK+c2Zm4DADA8NU8ZHxNHj0xmT+w7kLkNAAAAAAAMTwZnAAAAAAARsX7X/uT7mJrqWNwwNXMbAIDhqVAoxA0zpyezJw3OAAAAAAAgC4MzAAAAAICI2LCrNfm+bPaMqK6szNwGAGD4uvECg7NisZi5DQAAAAAADD8GZwAAAADAsNfV0xMb97Qns+XNDZnbAAAMb6UunB0+fS72HX85cxsAAAAAABh+DM4AAAAAgGFvc+vhON3ZlcxWNjdmbgMAMLxd1zQtCoV09sTeA3nLAAAAAADAMGRwBgAAAAAMe+t3tSbfR1VXxdLGusxtAACGt/GjRsSCuknJ7Il9BmcAAAAAANDfDM4AAAAAgGGv1ODsplkzoqaqMnMbAABunDk9+f6kwRkAAAAAAPQ7gzMAAAAAYFjr7umNx/a0JbMVzQ2Z2wAAEBFxQ4nB2ZbWw3GuqztzGwAAAAAAGF4MzgAAAACAYe3ZtsNxqqMzma2Ya3AGADAQbpg1I/ne3dsbW1oPZ24DAAAAAADDi8EZAAAAADCsrd/VmnwfWVUZ1zdNy9wGAICIiAV1E6N2RHUye3Jfe+Y2AAAAAAAwvBicAQAAAADDWqnB2Q0zp8eIqqrMbQAAiIiorKiI65qmJ7Mn9x3I3AYAAAAAAIYXgzMAAAAAYNjq6e2NR/e0JbMVzQ2Z2wAA8L1umJkenD1hcAYAAAAAAP3K4AwAAAAAGLaebz8SJ8+dT2Yr5zZmbgMAwPcqNThrPXE62k6eztwGAAAAAACGD4MzAAAAAGDYWr+rNfleU1kR15f4gDMAAHncMHNayexJV84AAAAAAKDfGJwBAAAAAMPWht1tyffrZ06PUdVVmdsAAPC9powdHXMmj09mT+w1OAMAAAAAgP5icAYAAAAADEvFYjE2lLhwtnxOQ+Y2AACk3DgrfXXWhTMAAAAAAOg/BmcAAAAAwLC07dCxOHa2I5mtaDY4AwAYDG6YmR6cPbP/YHT19GRuAwAAAAAAw4PBGQAAAAAwLG3Y1ZZ8r6wolLykAQBAXjfOnJF87+juiefbj2ZuAwAAAAAAw4PBGQAAAAAwLG3Y3Zp8X9pYF2NH1GRuAwBAytUzJsfIqspk9sS+9sxtAAAAAABgeDA4AwAAAACGnWKxGI+WGJzdMqchcxsAAEqprqyMJY3TktkTew9kbgMAAAAAAMODwRkAAAAAMOzsPfZytJ08k8yWG5wBAAwqN8ycnnx/cp/BGQAAAAAA9AeDMwAAAABg2NlQ4rpZoRBx8+wZmdsAAHAhN85KD852Hz0ZR06fzdwGAAAAAACGPoMzAAAAAGDY2bCrLfl+9fQpMWH0yMxtAAC4kFIXziIiHt/ryhkAAAAAAPQ1gzMAAAAAYNgpdeFseXND5iYAALya+vFjo2HC2GT2+N72zG0AAAAAAGDoMzgDAAAAAIaVtpOnY/fRk8ls+Zz6zG0AALgYy2alv0/buMfgDAAAAAAA+prBGQAAAAAwrDy6u61kdsscF84AAAajZbNnJN837T8Y57u7M7cBAAAAAIChzeAMAAAAABhWNuxuTb7Pnzox6mpHZ24DAMDFWDYrPTg7390TW1oPZ24DAAAAAABDm8EZAAAAADCsbNiVHpwtn1OfuQkAABfr6hlTYkxNdTLbuKc9cxsAAAAAABjaDM4AAAAAgGHj6JlzsfXgsWR2S3ND5jYAAFysqsqKuH7mtGT2+F6DMwAAAAAA6EsGZwAAAADAsPHY7raS2fI5BmcAAIPZslnpi7Qb97RHsVjM3AYAAAAAAIYugzMAAAAAYNjYsLs1+d40sTaaJtZmbgMAwGtx0+zpyfdDp8/GnmMnM7cBAAAAAIChy+AMAAAAABg2NuxKXzhz3QwAYPC7ceaMKBTS2cY97XnLAAAAAADAEGZwBgAAAAAMCy93nI8tbYeT2fI59ZnbAADwWo0fNSIWTpuczAzOAAAAAACg7xicAQAAAADDwuN726O3WExmy5tdOAMAKAfLZs1Ivm/ca3AGAAAAAAB9xeAMAAAAABgWNuxqS77XjR0dc6dMyFsGAIBLsmx2enC29eDROHnufOY2AAAAAAAwNBmcAQAAAADDwobdrcn35c31USgUMrcBAOBSlBqcFYsRT+xz5QwAAAAAAPqCwRkAAAAAMOSd6+qOp1sOJrNb5jRkbgMAwKWaPWl81I0dncwe33MgcxsAAAAAABiaDM4AAAAAgCHvqX0HoqunN5ktbzY4AwAoF4VCoeSVs4172zK3AQAAAACAocngDAAAAAAY8jbsak2+jx81Iq6aNjlzGwAALsdNs9KDs6f2HYzuEn/JAAAAAAAAcPEMzgAAAACAIW/D7vS1i1tm10dFRSFzGwAALkepC2dnOrvi+fYjmdsAAAAAAMDQY3AGAAAAAAxpnd098fje9mS2vLkhcxsAAC7XooapMaKqMpltLPF9HwAAAAAAcPEMzgAAAACAIe2Z1kNxrqs7mS2fU5+5DQAAl2tEVVUsbZyWzDbuMTgDAAAAAIDLZXAGAAAAAAxpG3a1Jt/H1FTH4oa6zG0AAOgLy2bPSL5v3NuWuQkAAAAAAAw9BmcAAAAAwJC2YXf6Q8fLZs+Iqkp/RAoAUI5umpUenLWeOB37T5zK3AYAAAAAAIYWn6YAAAAAAIasnt7eeGxPenB2y5yGzG0AAOgrpS6cRUQ8vqc9YxMAAAAAABh6DM4AAAAAgCHr+fYjcaqjM5ktb67P3AYAgL4yecyomDdlQjLbuNfgDAAAAAAALofBGQAAAAAwZG3Ynb5uNqKqMq5rnJa5DQAAfWnZ7PRfIODCGQAAAAAAXB6DMwAAAABgyNqwqzX5fn3TtBhZXZW5DQAAfWnZ7BnJ92fbD8fp8+krtwAAAAAAwKszOAMAAAAAhqRisRgbdqcHZ8ubGzK3AQCgr900Kz046+ktxtMtBzO3AQAAAACAocPgDAAAAAAYkl46dDyOnulIZsvnGJwBAJS7+VMnxsTRI5PZo7vbMrcBAAAAAIChw+AMAAAAABiSSl03q6woxI2zpmduAwBAX6uoKMSyElfOSn0vCAAAAAAAvDqDMwAAAABgSNqwK33VYklDXYwdUZO5DQAA/WF5c/py7RN7D0Rnd0/mNgAAAAAAMDQYnAEAAAAAQ06xWIwNu/cns1vmpD+UDABA+Vk+pz75fq6rOza3HsrcBgAAAAAAhgaDMwAAAABgyNl3/OVoO3kmmS1vTn8oGQCA8rOoYWqMrq5KZo/uTl+8BQAAAAAALszgDAAAAAAYcjbsSn+4uFCIuGW2wRkAwFBRXVkZN82ekcw27G7N3AYAAAAAAIYGgzMAAAAAYMgp9eHiq6ZPiQmjR2ZuAwBAfyr1Fwo8tqc9enuLmdsAAAAAAED5MzgDAAAAAIacDbvSg7Plc1w3AwAYapY3NyTfT547Hy8cPJq5DQAAAAAAlD+DMwAAAABgSGk/eTp2HT2ZzEp9GBkAgPJ1/czpUV2Z/tF3qb+IAAAAAAAAKM3gDAAAAAAYUh7d3VYyu8WFMwCAIWdUdVUsbZyWzB67wPeGAAAAAABAmsEZAAAAADCkbNidvmIxb8qEmFY7JnMbAAByKPUXC2zY3RrFYjFzGwAAAAAAKG8GZwAAAADAkLKhxBWL5c0NmZsAAJDL8jnp7/UOnjobu4+ezNwGAAAAAADKm8EZAAAAADBkHDtzLl48cDSZlbp6AQBA+Vs2e0YUCums1AVcAAAAAAAgzeAMAAAAABgyHtuTvm4W4cIZAMBQNn7UiLhmxpRk9miJC7gAAAAAAECawRkAAAAAMGRs2JX+MHHjhNqYOXFc5jYAAOR0y5z0XzCwYZcLZwAAAAAA8FoYnAEAAAAAQ8Yju/Yn35c312duAgBAbsvnpL/n23Ps5Wg7eTpzGwAAAAAAKF8GZwAAAADAkHD8bEdsaTuczJaXuHYBAMDQUerCWUTEo7vTl3ABAAAAAIBXMjgDAAAAAIaEDbtao1hMZ6vnNeYtAwBAdnW1o2PelAnJ7NHdrXnLAAAAAABAGTM4AwAAAACGhId37k++N0wYG7Mnjc/cBgCAgbC8OX3lbIMLZwAAAAAAcNEMzgAAAACAIeHhHS3J99Vzm6JQKGRuAwDAQLhlTn3y/cUDR+P42Y7MbQAAAAAAoDwZnAEAAAAAZe/QqbOx9eCxZLZ6XmPmNgAADJTlc9IXziIiHnXlDAAAAAAALorBGQAAAABQ9h7Zub9ktnKuwRkAwHDRNLE26sePTWYGZwAAAAAAcHEMzgAAAACAsreuxOCsefL4aJxQm7kNAAADpVAolLxy9uju1sxtAAAAAACgPBmcAQAAAABlr9TgbJXrZgAAw84tc+qT75tbD8fp852Z2wAAAAAAQPkxOAMAAAAAylrriVOx88iJZLZqXlPeMgAADLjlzenBWXdvbzy570DmNgAAAAAAUH4MzgAAAACAslbqulmEC2cAAMPRgrpJMWn0yGT2yM7WzG0AAAAAAKD8GJwBAAAAAGWt1OBs4bRJUVc7OnMbAAAGWqFQiOXNDcns4Z0tmdsAAAAAAED5MTgDAAAAAMpWsViMh3ekB2eumwEADF+lvhfc1HIoTnV0Zm4DAAAAAADlxeAMAAAAAChbe4+9HPtPnEpmBmcAAMNXqe8Fu3t747E9bZnbAAAAAABAeTE4AwAAAADK1sM7WpLvhULEiuaGzG0AABgsFk6bFFPHjkpm63amL+QCAAAAAAD/xuAMAAAAAChb63a2Jt+vmTElJo1Jf8AYAIChr1AoxMoSV87W7TA4AwAAAACACzE4AwAAAADKUrFYjHU70xfOVs9tytwGAIDBZlWJwdmWtsNx4mxH5jYAAAAAAFA+DM4AAAAAgLL00qHjcfDU2WS2al76w8UAAAwfpf4Sgt5iMTbsTl/KBQAAAAAADM4AAAAAgDK1buf+5HtlRSFumVOfuQ0AAINN85TxUT9+TDJbt9PgDAAAAAAASjE4AwAAAADK0rqdLcn3pY11MW7kiMxtAAAYbAqFQqwqceXs4R3p7yUBAAAAAACDMwAAAACgDPX2FuORElcpVs5tzNwGAIDBalWJ7w1fOHA0jpw+m7kNAAAAAACUB4MzAAAAAKDsPH/gSBw725HMVpe4YgEAwPCzal7pv4zgkV3pv8AAAAAAAACGO4MzAAAAAKDsrNuxP/leXVkRy2bPyNwGAIDBaubEcTFr0rhktm5n+ntKAAAAAAAY7gzOAAAAAICyU+rDwTfMnB6ja6oztwEAYDBbPTd95azUX2IAAAAAAADDncEZAAAAAFBWunt6Y/3u1mRW6sPEAAAMXytLfI+4/fDxaD95OnMbAAAAAAAY/AzOAAAAAICysqXtcJzq6ExmqwzOAAD4Phf6HrHU5VwAAAAAABjODM4AAAAAgLLy8I6W5PvIqsq4Ydb0zG0AABjsZowfG/OnTkxmjxicAQAAAADAKxicAQAAAABlpdQVimWz62NEVVXmNgAAlINV89JXzh42OAMAAAAAgFcwOAMAAAAAykZnd088trstmZX6EDEAAKyam/5ece+xl2PfsZcztwEAAAAAgMHN4AwAAAAAKBtPtRyMs13dyWx1iQ8RAwDAyuaGklmpC7oAAAAAADBcGZwBAAAAAGXjkRIfBh5bUx1LGusytwEAoFxMGTs6rpo+OZkZnAEAAAAAwP/L4AwAAAAAKBsP72hJvt/S3BDVlZWZ2wAAUE5Wz2tKvq/b2RLFYjFzGwAAAAAAGLwMzgAAAACAsnCuqzse39uezFbNbczcBgCAcrNqbkPyve3kmdh15GTmNgAAAAAAMHgZnAEAAAAAZeGJve3R2dObzFYbnAEA8CpWNDdGRaGQzNaWuKQLAAAAAADDkcEZAAAAAFAWHt6xP/k+ftSIuKZ+SuY2AACUm/GjRsSi+qnJbO2OfZnbAAAAAADA4GVwBgAAAACUhXU704Ozlc0NUVnhjzoBAHh1q+c3Jd8f3rE/enrT13QBAAAAAGC48SkMAAAAAGDQO9XRGU+3HExmq+elPzQMAADf7/YSg7MT587H5tbDmdsAAAAAAMDgZHAGAAAAAAx6j+1pi+4SFydWzm3M3AYAgHK1bHZ9jKiqTGZrtu/L3AYAAAAAAAYngzMAAAAAYNBbt3N/8n3KmFFx5bRJmdsAAFCuRlVXxS1z6pPZmu0tmdsAAAAAAMDgZHAGAAAAAAx663akB2er5jZGoVDI3AYAgHJ267ym5PvGPW1xtrMrcxsAAAAAABh8DM4AAAAAgEHtxNmO2NJ2OJmtmteYuQ0AAOXu9vkzk++dPb3x6O62zG0AAAAAAGDwMTgDAAAAAAa1Dbtbo7dYTGar56avUwAAQCnX1k+NSaNHJrM12/dlbgMAAAAAAIOPwRkAAAAAMKg9vGN/8r1+/JhonjI+cxsAAMpdRUUhbp2X/osL1mxvydwGAAAAAAAGH4MzAAAAAGBQW7czPThbNbcpCoVC5jYAAAwFt81PD86eaz8Sh06dzdwGAAAAAAAGF4MzAAAAAGDQOnL6bLxw4GgyWzW3MXMbAACGitvmzyyZrd3hyhkAAAAAAMObwRkAAAAAMGg9squ1ZLZqnsEZAACXZuakcdE8eXwyW7vd4AwAAAAAgOHN4AwAAAAAGLQe3rE/+T5r0riYOXFc5jYAAAwlt12RvnL20PZ9USwWM7cBAAAAAIDBw+AMAAAAABi01u1IX5dYPdd1MwAALs9t85qS720nT8eOwyfylgEAAAAAgEHE4AwAAAAAGJRajp+KHUdOJLNVJT4cDAAAF2v1vKaoKBSS2UPb92VuAwAAAAAAg4fBGQAAAAAwKK25wId8V7lwBgDAZRo/akRc11SXzC70vSgAAAAAAAx1BmcAAAAAwKBU6qrEldMnx/RxYzK3AQBgKLp13szk+yM790d3T2/mNgAAAAAAMDgYnAEAAAAAg05vbzEe3tGSzG6f35S5DQAAQ1Wp7y1Pne+Kp1oOZm4DAAAAAACDg8EZAAAAADDoPNt2OI6e6Uhmt81PX6EAAIDX6oZZ02N0dVUyW1vi4i4AAAAAAAx1BmcAAAAAwKDzUIkP99ZUVsTy5obMbQAAGKpGVFWV/P7yoe3pi7sAAAAAADDUGZwBAAAAAIPOmhIf7r1p1owYU1OduQ0AAEPZ7SUu6D6570Cc6ujM3AYAAAAAAAaewRkAAAAAMKic6+qOx/a0JbPbrkh/GBgAAC7VrfObku/dvb2xfldr5jYAAAAAADDwDM4AAAAAgEHlsd1tcb67J5mVuj4BAACX6qrpk6Nu7Ohk9p2X9mZuAwAAAAAAA8/gDAAAAAAYVB7avi/5PmHUiFjcMDVzGwAAhrpCoVDyytn9W/dEsVjM3AgAAAAAAAaWwRkAAAAAMKisKTE4u3VeU1RW+CNNAAD63p0LZiXf9xx7ObYfPp65DQAAAAAADCyfzgAAAAAABo3Dp8/Gs21Hktlt82dmbgMAwHBxx4JZUSiks/u37snaBQAAAAAABprBGQAAAAAwaKzd3lIyu/2KpoxNAAAYTiaPGRU3zJyezO4zOAMAAAAAYJgxOAMAAAAABo01JQZncyaPj1mTxmduAwDAcHL3wtnJ90d3t8XLHefzlgEAAAAAgAFkcAYAAAAADArFYjEe2r4vmd02f2bmNgAADDelBmddPb0XvMQLAAAAAABDjcEZAAAAADAobD98PNpOnk5mt89vytwGAIDh5tr6qTG9dkwyu2/rnrxlAAAAAABgABmcAQAAAACDwpoSVyMqCoVYPc/gDACA/lUoFOKuhbOS2f1b90SxWMzcCAAAAAAABobBGQAAAAAwKDz00r7k+3VNdTF+1IjMbQAAGI7uvnJO8v3gqbOxpfVw5jYAAAAAADAwDM4AAAAAgAHX1dMT63ftT2a3zZ+ZuQ0AAMPVrfOaoroy/WP0+7ftyVsGAAAAAAAGiMEZAAAAADDgntx3ME6d70pmBmcAAORSO7Imls9pSGb3vbgnbxkAAAAAABggBmcAAAAAwIBbs31f8n1MTXXcOHN65jYAAAxndy2clXx/suVAHD1zLnMbAAAAAADIz+AMAAAAABhwD5UYnK1oboiaqsrMbQAAGM7uXjgn+V4sRjywbW/mNgAAAAAAkJ/BGQAAAAAwoE6c7YinWw4ms9uvmJm5DQAAw928qRNizuTxyez+rXvylgEAAAAAgAFgcAYAAAAADKiHtu+Lnt5iMrttflPmNgAADHeFQiHuWjg7mT24bW909/TmLQQAAAAAAJkZnAEAAAAAA+r+rXuT740TamNB3aTMbQAAIOLuEoOzE+fOxxP7DuQtAwAAAAAAmRmcAQAAAAADpre3GA9s25PM7lo4OwqFQt5CAAAQESuaG2J0dVUyu3/rnrxlAAAAAAAgM4MzAAAAAGDAbG49FIdPn0tmdy2clbkNAAD8m5HVVbF6XlMyu8/gDAAAAACAIc7gDAAAAAAYMKWuQ9RUVpT8gC8AAORw95Wzk+/Ptx+J1hOn8pYBAAAAAICMDM4AAAAAgAHzwLa9yfcVzQ0xpqY6cxsAAPi/7lwwu2R2/9b097EAAAAAADAUGJwBAAAAAAPi6Jlz8WTLgWR218LZecsAAMD3aZpYG1dNn5zMvvXirsxtAAAAAAAgH4MzAAAAAGBAPLhtbxSL6czgDACAwaDU96VrtrfEqY7OvGUAAAAAACATgzMAAAAAYEDcv3Vv8n3O5PExd8qEvGUAACDhTVc3J9/Pd/fEd15Kfz8LAAAAAADlzuAMAAAAAMiup7c3HizxAd27Fs6OQqGQuREAALzSDU3TY1rt6GT2ted2ZW4DAAAAAAB5GJwBAAAAANk91XIwjp/tSGZ3LpiVuQ0AAKRVVBTijVelr5zdt3V3dHb3ZG4EAAAAAAD9z+AMAAAAAMjuga3p62Yjqypj5dzGzG0AAKC0e65JD85e7uiMR3btz9wGAAAAAAD6n8EZAAAAAJDd/Vv3JN9XzWuKUdVVecsAAMAFrJ7bFLUja5LZ157blbkNAAAAAAD0P4MzAAAAACCrg6fOxDOth5LZXQtnZW4DAAAXVlNVGXcvnJ3Mvvn8rujtLeYtBAAAAAAA/czgDAAAAADI6sFte0tmdy2Yna8IAABcpHuubk6+Hzh1Jp5qOZC5DQAAAAAA9C+DMwAAAAAgq/u37km+X1E3MWZPHp+3DAAAXIQ7F8yOEVWVyexrz+/K3AYAAAAAAPqXwRkAAAAAkE13T29856V9yezOBbMytwEAgItTO7Imbp3XlMy+/tzOKBaLmRsBAAAAAED/MTgDAAAAALJ5fF97vNzRmczuWjg7bxkAAHgN7rm6Ofm+88iJ2HboWOY2AAAAAADQfwzOAAAAAIBs7t+6J/k+pqY6bplTn7cMAAC8Bm+8ujkKhXT2ted25S0DAAAAAAD9yOAMAAAAAMjm/q17k++3zm+KEVVVmdsAAMDFmzp2dCyblf5LEr7x/M7MbQAAAAAAoP8YnAEAAAAAWbSeOBXPtx9JZnctmJ23DAAAXII3X9OcfN+0/1DsP3EqcxsAAAAAAOgfBmcAAAAAQBYPbEtfN4uIuHPhrIxNAADg0txz9dyS2Tee35WxCQAAAAAA9B+DMwAAAAAgi/u37km+Xzl9cjROqM1bBgAALsHsyePj6hlTktnXn9+ZuQ0AAAAAAPQPgzMAAAAAoN91dvfE2u0tyeyuhbPzlgEAgMvw5qubk+/rd7XGsTPnMrcBAAAAAIC+Z3AGAAAAAPS7x/a0xenOrmR294JZmdsAAMClu+eaucn3nt5i3Ffiqi8AAAAAAJQTgzMAAAAAoN/dX+KDt7Uja+Km2TPylgEAgMtwzYwpMXPiuGT2lS07MrcBAAAAAIC+Z3AGAAAAAPS7UoOz2+c3RXVlZd4yAABwGQqFQrz5muZk9sC2vXH0zLnMjQAAAAAAoG8ZnAEAAAAA/WrvsZOx7dDxZHbXwtl5ywAAQB94y7Xzku/dvb3xpc3bM7cBAAAAAIC+ZXAGAAAAAPSr+7fuLZndccWsjE0AAKBvLJs1I2ZNGpfM/uXprZnbAAAAAABA3zI4AwAAAAD61QPb9iTfF9VPjRnjx+YtAwAAfaBQKMQPLl2YzJ7YdyB2HTmRtxAAAAAAAPQhgzMAAAAAoN90dHXHwzv2J7O7Fs7OWwYAAPrQu5cuKJm5cgYAAAAAQDkzOAMAAAAA+s36Xa1xrqs7md25cFbmNgAA0Hfm102M65qmJbN/2bQtisVi5kYAAAAAANA3DM4AAAAAgH5z/9Y9yfcJo0bEDU3T85YBAIA+9p7rFibfdx89GU/sO5C5DQAAAAAA9A2DMwAAAACg35QanL3uillR9f9j776j7CrLvgHfZ1p675UU0hNICJAEEhJ6b4KCotJEBQs2RAVFAVEBUQEBeQVE6SBdauiQQBrpDdLrpNfJZOr3x/vJa8w5yaTMnmTmutZymXl+z977d2CxVnJy7vNke3sSAID929kHd4vsrFTa7IkJMxNuAwAAAAAAe4dPdAAAAAAAlWLOynUxd/X6tNnxPQ9IuA0AAOx9LerXjWO7p/+97dOTPomiktKEGwEAAAAAwJ4zcAYAAAAAVIqRs+anXU+lIo7tYeAMAIDq4QuH9Ey7vragMEbOWpBwGwAAAAAA2HMGzgAAAACASvH6zPlp1w9p3ypa1K+bbBkAAKgkJ/fuHA1q5abNnpgwM+E2AAAAAACw5wycAQAAAAB73eai4nh/7pK02XFONwMAoBqpm5cbp/c7MG32yox5sX7L1oQbAQAAAADAnjFwBgAAAADsde99uji2lpSmzY7v2SnZMgAAUMnOO6Rn2vWtJaXx3ORPEm4DAAAAAAB7xsAZAAAAALDXvT5rftr15vXqxID2rZItAwAAlezILu2ibaN6abMnPp6VcBsAAAAAANgzBs4AAAAAgL2qvLw8Xp85P212bI8DIisrlWwhAACoZNlZWXHugPSnnH0wd0ksXLsh4UYAAAAAALD7DJwBAAAAAHvVtOWrY9HajWmz43t2SrYMAAAk5AsDemTMnnLKGQAAAAAA+xEDZwAAAADAXpXpw7RZqVQc071jwm0AACAZfdo0j75tmqfNHh47PcrKyhNuBAAAAAAAu8fAGQAAAACw15SVlcc/J85Omw3p3Daa1K2dcCMAAEjOFw7pmXZ97ur18c6nixJuAwAAAAAAu8fAGQAAAACw13y0YFksXrcxbfb5AT0SbgMAAMn6/IAekZ2VSpvdN3pywm0AAAAAAGD3GDgDAAAAAPaapybOSruem50VZ/Q7MOE2AACQrNYN68VpfbqmzV6ePi+WZPhyBgAAAAAA2JcYOAMAAAAA9ori0tJ4dtInabPjehwQTerWTrgRAAAk75Ih/dKul5WXx4MfTUu4DQAAAAAA7DoDZwAAAADAXvHW7EWxpqAwbXZu/x4JtwEAgKoxrGv76NaiSdrsH2OmRXFpacKNAAAAAABg1xg4AwAAAAD2iqcmzkq7Xi8vN07q3TnhNgAAUDVSqVTGU86Wb9wcL02bm3AjAAAAAADYNQbOAAAAAIA9trmoOOMHZ0/t2yXq5uUm3AgAAKrOFwf2ijq5OWmz+0ZPSbgNAAAAAADsGgNnAAAAAMAee2X6vNhcVJw2O7d/j4TbAABA1WpUp1ac27972uy9OYtjVv6ahBsBAAAAAEDFGTgDAAAAAPbYUx/PSrverF7tGNGtQ8JtAACg6l065KCM2QMfOuUMAAAAAIB9l4EzAAAAAGCPrNm8JUbOWpA2O+ugbpGbnZ1wIwAAqHoHt28ZAzu0Sps9On5GxhOCAQAAAACgqhk4AwAAAAD2yPNT5kRJWVna7NwBPRJuAwAA+45LhvRLu76hsCj+meGUYAAAAAAAqGoGzgAAAACAPfLUxPQflO3QpEEc3rFNwm0AAGDfcfbB3aNxnVpps/tGT4ny8vKEGwEAAAAAwM4ZOAMAAAAAdtvidRtj1LwlabNz+nePrKxUwo0AAGDfUSc3Jy44tHfabPLSlTF+UX7CjQAAAAAAYOcMnAEAAAAAu+2ZSZ9EpkMZzu3fI9kyAACwD7p4cL+M2X2jJyfYBAAAAAAAKsbAGQAAAACw2576eFba9d6tm0WfNs0TbgMAAPueri0ax9HdOqTNnvp4dixauzHhRgAAAAAAsGMGzgAAAACA3TIzf3VMXroybXbuAKebAQDAv1065KC06yVlZXHnuxMSbgMAAAAAADtm4AwAAAAA2C1//2haxuycg7sn2AQAAPZtJ/bqHB2bNEyb/f2jqbFiY0HCjQAAAAAAIDMDZwAAAADALttSXBKPjp+RNhvUqU10bJr+w7QAAFAT5WRnxZUjBqbNCktK4673Pk64EQAAAAAAZGbgDAAAAADYZc9N/iTWbdmaNvvq4X0SbgMAAPu+Lx3aK1o3qJc2u3/05FhXUJhwIwAAAAAASM/AGQAAAACwyx78aFra9Ya18+Ksg7ol3AYAAPZ9tXNz4tvDB6TNNm4tjns/mJRwIwAAAAAASM/AGQAAAACwS2YsXx0fzl+aNjt/YK+om5ebcCMAANg/XDS4XzStWzttds8Hk2LT1qKEGwEAAAAAwPYMnAEAAAAAu+TBj6ZmzC4c1DfBJgAAsH+pl5cblw/rnzZbW1AYD3yY+ffaAAAAAACQFANnAAAAAECFbSkuiccmzEybHX5Am+jdulnCjQAAYP9y2REHR4PaeWmzP787IQqLSxJuBAAAAAAA2zJwBgAAAABU2HOTP4n1W7amzS4e7HQzAADYmUZ1asXXhhyUNsvfWBAPjZ2ecCMAAAAAANiWgTMAAAAAoMIe+HBq2vVGdWrFmQd1S7gNAADsn64Y1j/q5OakzW5/Z3wUl5Ym3AgAAAAAAP6PgTMAAAAAoEKmL18dYxYsS5udf0jPjB+YBQAAttW8ft24cFD6E4IXrd0YT348K+FGAAAAAADwfwycAQAAAAAV8uBH6U83i4iMH5YFAADS+/ZRAyI3O/1f2d/6xtjYWlKScCMAAAAAAPhfBs4AAAAAgJ0qKCqOx8bPSJsN6tQmerVulnAjAADYv7Vr3CC+NLBX2mze6vVx7weTE24EAAAAAAD/y8AZAAAAALBTz03+NDYUFqXNLnK6GQAA7JYrjx4YWalU2uyWN8bEyk0FCTcCAAAAAAADZwAAAABABTzw0ZS0643r1IozD+qWcBsAAKgeOjdrHF8+rHfabGNhUfz6ldEJNwIAAAAAAANnAAAAAMBOTFm6MsYuWJ42O39gr6iTm5NwIwAAqD6uOXFINKiVmzb7+9hpMWXpyoQbAQAAAABQ0xk4AwAAAAB26E9vj8+YXTioT4JNAACg+mnZoG788NjD02bl5RE/ff7dKC8vT7gVAAAAAAA1mYEzAAAAACCjeavXxTOTPkmbDe7UNnq2apZwIwAAqH6+OfTg6NysUdrsg7lL4sWpcxJuBAAAAABATWbgDAAAAADI6I53Po6yDKcpXDGsf7JlAACgmqqVkxM3nDo0Y/7zf70fhcUlCTYCAAAAAKAmM3AGAAAAAKSVv3FzPDJuetqsW4smcWqfrgk3AgCA6uuUPl3iqAPbp80WrNkQd78/MdlCAAAAAADUWAbOAAAAAIC07npvYmwtKU2bXTliYGRlpRJuBAAA1VcqlYpfn35UZKXS/z77tjfGxvINmxNuBQAAAABATWTgDAAAAADYzvotW+OB0ZPTZm0b1Y/PD+iRcCMAAKj++rZpHl89vE/abFNRcVz/8qiEGwEAAAAAUBMZOAMAAAAAtvPX0ZNj49bitNl3hh8SeTnZCTcCAICa4ZoTB0fD2nlps0fHz4jXZsxPthAAAAAAADWOgTMAAAAAYBsFRcVxz3sT02ZN69aOr2Q4cQEAANhzzevXjR8fd3jG/LtPjYw1m7ck2AgAAAAAgJrGwBkAAAAAsI2Hxk6PVRk+wPqNIw+Oenm5CTcCAICa5bIjDo6uzRunzfI3FsSPnnk70T4AAAAAANQsBs4AAAAAgM8Ul5bGHe9MSJvVy8uNy448OOFGAABQ8+TlZMefzjkmUqn0+TOTP4l/TpydbCkAAAAAAGoMA2cAAAAAwGf+OXF2LF63MW120aC+0aRu7YQbAQBAzXRk1/ZxxdABGfMfPfNWLF2/KcFGAAAAAADUFAbOAAAAAICIiCgrK48/vT0+bZabnRVXHJX5w64AAMDed+1JQ6Jnq6Zps3VbtsZ3n3ojysvLE24FAAAAAEB1Z+AMAAAAAIiIiOenfhoz89ekzb44sFe0bVQ/4UYAAFCz1c7NibvPOyFystL/1f4bsxbE3z6amnArAAAAAACqOwNnAAAAAEBsLSmJX770QdoslYr47vCBCTcCAAAiIvq3bxlXHXtYxvzaF96LuavWJVcIAAAAAIBqz8AZAAAAABD/88HkWLBmQ9rszH4HRtcWjZMtBAAAfOb7xxwah3RolTYrKC6Jbzz2amwtKUm4FQAAAAAA1ZWBMwAAAACo4dZs3hK3vjk2bZaVSsWPjxuUcCMAAOA/5WZnx93nHR+1c7LT5uMW5sePn30nysvLE24GAAAAAEB1ZOAMAAAAAGq4m0eOifVbtqbNvnJ4n+jVulnCjQAAgP/WvWXT+OUpR2bM/z5mWjzw4dQEGwEAAAAAUF0ZOAMAAACAGuzTlWvjvtFT0mb183LjZycMTrgRAACQyWVHHBzDurbPmF/93Dsxet7SBBsBAAAAAFAdGTgDAAAAgBrsly99ECVlZWmzK48+NFo2qJtwIwAAIJOsrFT85fwTolWG36eXlJXFRf94KZas25hwMwAAAAAAqhMDZwAAAABQQ30wZ3H8a9rctFnbRvXjimH9ky0EAADsVJtG9ePBr5waudnp/7p/xaaC+Oo/XorC4pKEmwEAAAAAUF0YOAMAAACAGqisrDyuffH9jPnPTxoSdfNyE2wEAABU1KBObeLmM0dkzCcsyo8fPvNWlJeXJ1cKAAAAAIBqw8AZAAAAANRAT06cFROXrEib9W/XMr4woGfCjQAAgF1x0eC+cdGgvhnzR8bNiD+9Pd7QGQAAAAAAu8zAGQAAAADUMFuKS+KGV0ZlzG88bWhkZaUSbAQAAOyO3505PA4/oE3G/Fcvj4rvP/1WFJWUJtgKAAAAAID9nYEzAAAAAKhhfvnSB7Fk3aa02Sl9usSRXdsn3AgAANgdeTnZ8eBXTok2Detl3PPgR1Pjc399NlZv3pJgMwAAAAAA9mcGzgAAAACgBnltxvy494NJabOcrKz41SlHJtwIAADYE60b1ou/f/XUyMvO/Nf/H8xdEsfc/nhMW7YqwWYAAAAAAOyvDJwBAAAAQA2xclNBfPvJ1zPmFw/uGwe2aJJgIwAAYG84tGPr+MM5x+xwz8K1G+KkPz8ZL02bm1ArAAAAAAD2VwbOAAAAAKAGKC8vj289MTJWbtqSNm/doF789ITBCbcCAAD2li8d2jvu/PxxkbuDk842FRXHl//+Yvz8xfdic1Fxgu0AAAAAANifGDgDAAAAgBrgr6Mnx+sz52fM7z7/+GhSt3ZyhQAAgL3ugsN6x3Nf/1w0r1cn457y8og73/04Bt/6ULwyfV6C7QAAAAAA2F8YOAMAAACAam7G8tXxixffz5h/+6gBMaJbxwQbAQAAlWVI57bxxnfPi75tmu9w3+J1G+OLf3shvvr3f8XS9ZsSagcAAAAAwP7AwBkAAAAAVGOFxSVx2aOvRmFJadq8X9vmce1JQxJuBQAAVKaOTRrGy1ecG6f17brTvS9MnRODb/1H/OX9iVGU4c8NAAAAAADULAbOAAAAAKAau+GVUTFt2aq0We2c7PifL54UtXJyEm4FAABUtvq18uLBL58SPz7u8J3u3bi1OH7y/LvR76YH4jevfRjLnHgGAAAAAFCjGTgDAAAAgGrq0XEz4q73JmbMbzx9WPRo1TS5QgAAQKKyslLx0xMGx8MXnhqtG9Tb6f4Vmwri5pFj4qDf/C0uefjl+HD+0igvL0+gKQAAAAAA+xJfXQwAAAAA1dCzkz+Jbz85MmN+Uq/Occngfgk2AgAAqsopfbrGkV3ax42vjo77Rk+Onc2QlZSVxTOTPolnJn0SvVs3i5N7d4njeh4Qh3ZoHTnZvtcWAAAAAKC6M3AGAAAAANXMK9PnxWWPvBplGT5F2rJ+3bjj88dGKpVKuBkAAFBVGtWpFbecNSLOP6RnfO+fb8bUZasqdN305atj+vLV8fs3x0ajOrXi6G4d4rgenWJ4tw7RrlF9f64AAAAAAKiGDJwBAAAAQDXy9icL46KHXoqSsrKMe/583nHRvH7dBFsBAAD7ioEdW8db3z0//vLBxLjp1Q+joLikwteu37I1np38aTw7+dOI+N8vs+jfvmUMaN8y+rdvFf3bt4zWDetVVnUAAAAAABJi4AwAAAAAqonR85bGBX97MbaWlGbc88tTjozjenRKrhQAALDPycnOim8ddUic0a9b/PHtcfH4+Jmxuah4l++zYlNBvDZzfrw2c/5naw1q5UbjurWjcZ1a0eTf/1+ndjStVydaN6wXLRvUjZYN6kbrBv/76/q18vbiKwMAAAAAYG8wcAYAAAAA1cDHi/LjvPuf2+HpBFcde3hcOWJggq0AAIB9WYcmDeL3Zx8dvzjpiHhk3PT466jJMXf1+j2658atxbFxa3EsWruxQvvr5eVGywZ1o1WDetHq/w+jtWxQL9o1qh9dmjeObi0aR9N6dfaoEwAAAAAAu8bAGQAAAADs556eODu+//SbsXFr5hMJvjVsQPz0hEEJtgIAAPYXjerUisuHDYhvHNk/Rs5aEP8zalKMnLUgkWdvLiqOeavXx7wdDLo1rVs7urZoHN1aNIluLZpEnzbNo1/bFtG6Yb1EOgIAAAAA1DQGzgAAAABgP7WxsCiufu6deHT8jB3uu3hwv7jhtKGRSqUSagYAAOyPsrJScUKvTnFCr06xcM2GeHXmvBg5c0G8N2dxbNnBacqVbU1BYaxZsDzGLli+zXrL+nWjX9vm0bdti+jXtkUM7douWjUwhAYAAAAAsKcMnAEAAABQY6zfsjU+mLs4Zq1YG5u2FkVBUUls3loUm4tKYnNRUWwtKY2GtfOidcP60apB3WjdsF60alAvWjWsFwc0aRgNaudV9Uv4zPiFy+OyR1/d4SkAERHnD+wZt541wrAZAACwSzo2bRiXHXFwXHbEwVFYXBKj5y2NkbPmx8hZC2L2irVVXS8iIlZsKog3Zi+MN2Yv/Gzt0I6t4qTeXeKU3l2iZ6um/iwEAAAAALAbDJwBAAAAUG2VlJbFhMX58dbshfHm7IUxftHyKC0r3617pVIRPVo2jUM6tIpDOrSKgR1aR+/WzSIvJ3svt96x0rKy+MNb4+O3r3+409dy1kEHxh3nHhdZWT5gCQAA7L7auTlxdPeOcXT3jvHr0yPWbN4Sk5asjI8X58ekJSvi48UrYtHajVVdMyIixi3Mj3EL8+PGV0ZHp6YN4+TeXeLEXp1jcOc2USvHRyQAAAAAACrCu6kAAAAAVDsfzl8a974/Kd6YvSA2FBbtlXuWl0fMzF8TM/PXxCPjZkRERK2c7Ojbpnn0a9siDmrXIvq1bRG9WzeLunm5e+WZ/2nxuo3x+ISZ8di4GfHpqnU73X9y787xl/NPjJzsrL3eBQAAqNma1qvz2QDav63aVBCz8tfEmoLCWLdla6wtKIy1WwpjXcH//nrFpoJYsbEg8jdsjk1FxYn0nL9mQ9z9/sS4+/2JUS8vN446sH0c16NTHNfzgOjYpGEiHQAAAAAA9kcGzgAAAACoNj6cvzRufv2jeOuTRYk8b2tJaYxflB/jF+V/tpaVSkW3Fo2jT5sW0at10+jRsmn0bNUsOjdrtMvDXwVFxfHi1Dnx6PgZ8c6ni6K8AoezZWel4urjBsX3jz7UsBkAAJCY5vXrRvP6dSu0d9PWoli5qSCWbyiIFRs3R/7G/z+M9v9/vXzDppi3av1eHUzbXFQcL0+fFy9PnxcREd1bNonjehwQx/XoFEd0aev0MwAAAACA/+AdUwAAAAD2ex/NXxa/e/3DxAbNdqSsvDxmrVgbs1asjZj0f+t52VlxYIsm0bV542hSt3Y0qlMrmtStHY3r1IrGdWrF1pLSWLxuYyxeuzEWrdsYi9dtjIVrNkRhSWmFn31A04Zx7xdPjMMPaFMJrwwAAGDvqF8rL+rXyovOzRpn3FNeXh75Gwvi05Vr45OVa2POynUxe+XamLZsVSxdv2mPO8xesTZmr1gbd703Merm5sSw/3/62fE9D4gDmjba4/sDAAAAAOzPDJwBAAAAsN+avGRF/PKlD/aJQbOdKSoti+nLV8f05asr5f7nHdIzbj5reDSsXatS7g8AAJCkVCoVrRvWi9YN68XQru23yVZv3hJTl66KKUtXxpRlK2PCwvz4dNW63X5WQXFJvDpjfrw6Y35ERPRs1TS+OLBXnD+wV7RsULFT2wAAAAAAqhMDZwAAAADsd0rLyuKPb4+P3772UZSUle3y9W0b1YsDWzSJenm5UTcvN+r9///l5mTHms1bYvmGzZG/cXPkbyiIlZsLory8El7EXtKgdl7cdvbRce6AHlVdBQAAIBHN6tWJ4d06xPBuHT5bm7NyXbw8fW68NH1ufDR/WZTtwR/kZuaviete+iCuf2VUnNirc1xwaO84vucBkZudvTfqAwAAAADs8wycAQAAALBfWbxuY3zzsdfig7lLKnxNndycOLJLuzime8c4unvH6NGyaaRSqQpdW1JaFgvXboiPF6+ICYuWx/hF+TFp8YooLCnd3ZewV2SlUnFqny5xw2lD44Cmjaq0CwAAQFXr2qJxfHv4IfHt4YfE6s1b4vWZ8+Pl6XPjrU8WxcbCot26Z2lZebw0bW68NG1utGpQN84b2CsuHdwvOjZtuJfbAwAAAADsWwycAQAAALDfeHbyJ/G9f74Z67dsrdD+QZ3axA+OPiyGd2sftXJ2762wnOys6NK8cXRp3jjO6d89IiKKS0tjZv6amLAoP6YsXRlTlq6KactWxeai4t16xq7o2appfOnQ3vH5AT2idcN6lf48AACA/U2zenXi/IG94vyBvaK4tDTGLFgeI2fNj5EzF8TUZat26575Gwvi9rfHx53vTIjT+3aNy4cNiMMPaF3hLzMBAAAAANifGDgDAAAAYJ+3aWtR/OS5d+PhcdMrtH9Qpzbx0+MHx1EHtq+UD//lZmdHv7Ytol/bFp+tlZWVx9zV6z4bQJu1Yk3MXL465q1ZH+Xle/a8pnVrx7kDesQXB/aKg9u18IFGAACACsrNzo4ju7SLI7u0i+tOPjKWrd8Ub85eGCNnzY83Zy+MDbt4+llZeXk8N+XTeG7Kp3FIh1Zx+dD+ceZBB0ZudnYlvQIAAAAAgOQZOAMAAABgnzZv9br4wn3Px6er1u10b2UPmu1IVlYqDmzRJA5s0STOPrj7Z+tbikvi05VrY8by1fHJyrWxctOWWL+lMNZt2RrrCrbGuv//66xUKto1rh/tGzeIDk0aRvvGDaJ94/rRqWmj6Nu2uQ8vAgAA7AVtGtWPCw7rHRcc1jtKSsti7MLl8casBTFy1vyYtGTlLt1rwqL8uOzRV+O6l96Prx1xcFw0qG80qVu7kpoDAAAAACTHwBkAAAAA+6zpy1fH5/7nmcjfWLDDfQ1q58WtZ42Izw/osc+d/lUnN2e709AAAACoejnZWTGkc9sY0rltXHvSkFiybmM8PmFmPDx2esxdvb7C91m6fnNc//KouHXkmDj/0F7xzSP7R7eWTSqxOQAAAABA5TJwBgAAAMA+adzC5fH5+56LdVu27nDf4Qe0iXu/eEIc0LRRQs0AAACojto1bhA/OOaw+P7Rh8aoeUvj4bHT47nJn0RBcUmFri8oLon7R0+J+0dPieN7doorhvWP4Qd22Oe+GAUAAAAAYGcMnAEAAACwz3nnk0VxwYMvxuai4ox7srNS8eNjD48fHHNY5GRnJdgOAACA6iyVSsWRXdrFkV3axW/PPCqe+nh2/OWDiTF7xdoK3+P1mfPj9Znzo2+b5vG9ow+NM/sd6M+uAAAAAMB+w8AZAAAAAPuUf02dE5c8/HIUlZZl3HNA04Zx7xdPjMMPaJNgMwAAAGqahrVrxSVD+sVFg/rGm58siLvfmxhvzl5Y4eunLlsVX3vklbixacP49vBD4kuH9o46uT6qAQAAAADs27yLCQAAAMA+47HxM+LbT46M0rLyjHuO6Nw2Hrno9GhUp1aCzQAAAKjJsrJScVyPTnFcj04xY/nquOf9ifH4hJmxtaS0QtfPX7MhfvTM2/G71z+KbwztH5cO7heN69au5NYAAAAAALsnq6oLAAAAAEBExBMTZsblj7++w2GzE3p2iqe+dpZhMwAAAKpMr9bN4k/nHhtTf3ZxXHPi4GjVoG6Fr125aUvc+Mro6P3r++O7T46MyUtWVGJTAAAAAIDdY+AMAAAAgCo3ZsGy+M6TI3e455z+3eOhC0+NOrk5CbUCAACAzJrXrxs/OvbwmPTTi+Lu846Pfm2bV/jaLcUl8Y+x02P4nx6LE//8ZDz18awoquBpaQAAAAAAlc2ncwAAAACoUovWbowvP/hiFJWWZdxz8eB+cctZwyM7y/cnAQAAsG+plZMT5w/sFecd0jNGzV0Sf37v43h5+rwKXz9mwbIYs2BZXPPCe3HhoL5x0eC+0bZR/UpsDAAAAACwYwbOAAAAAKgym4uK44IHX4iVm7Zk3PP9ow+Nn580JFKpVILNAAAAYNekUqk4smv7OLJr+5iZvzrueGdCPDFhVpSUZf6Clf+0YlNB3PLGmLjtrbFxap8u8bUhB8XQru39eRgAAAAASJyvhAYAAACgSpSVlcflj70WU5auyrjnmhMHxy9OPsKH6wAAANiv9GzVLP78hePj459cGJcP7R/18nIrfG1pWXk8P2VOnHHvM3HEbQ/HX0dNjg2FWyuxLQAAAADAtgycAQAAAFAlfvv6R/HC1DkZ8wsO7R0/POawBBsBAADA3tW+cYO46YyjYsrPLo5rThwcbRrW26XrZ+aviauefTt6XP/XuOgfL8WLU+dEYXFJJbUFAAAAAPhfOVVdAAAAAICa5+mJs+OWN8ZkzAd3ahu//9wIJ5sBAABQLTSpWzt+dOzhceWIgfGvaXPjr6Mmxwdzl1T4+sKS0nhuyqfx3JRPo2HtvDij34Fxbv8eMbRru8jO8l3DAAAAAMDeZeAMAAAAgER9vCg/vvXE6xnzDk0axN+/ekrUyvHWFQAAANVLbnZ2nHVQtzjroG4xbdmquG/0lHhiwszYXFRc4XtsKCyKh8ZOj4fGTo9m9WrHib06xym9u8SI7h2jXl5uJbYHAAAAAGoKn9oBAAAAIDHrt2yNix56OQpLStPm9fNy49GLTo8W9esm3AwAAACS1adN87jtc0fHdScfEY+NnxF/HTU5Pl21bpfusXpzYTwybkY8Mm5G1M7JjuHdOsQpvbvECb06R+uG9SqnOAAAAABQ7Rk4AwAAACAxVz37dixcuyFtlkpF/OWLJ0afNs0TbgUAAABVp1GdWvGNof3jsiMOjnc+XRR/HT05Xpk+L8rKy3fpPoUlpfHqjPnx6oz5EfG/A23HdO8Yx3Y/IAZ3buMkcQAAAACgwrybCAAAAEAiHp8wM578eFbG/BcnHRGn9OmSYCMAAADYd2RlpeLo7h3j6O4dY+HaDXH/6Cnx+PiZsXzj5t2637Rlq2LaslVxxzsTom5uThzZtX0M7dIuBnZoFQe3bxn1a+Xt5VcAAAAAAFQXBs4AAAAAqHTzV6+Pq555K2P++QE94soRAxNsBAAAAPuujk0axi9POTJ+ftKQ+GDuknjq41nx3JRPY0Nh0W7dr6C4JF6fOT9enzk/IiKyUqno0appDOzQKg7p0CoGtG8VvVo3dQoaAAAAABARBs4AAAAAqGTFpaVx2aOvxMatxWnzrs0bx22fOzpSqVTCzQAAAGDflp2VFUcd2CGOOrBD3HL2iBg5c0H8c+LseGXGvNhSXLLb9y0rL48Zy1fHjOWr46Gx0yMiIicrK3q0ahoHt2sRB7VtEf3atYherZpFk7q199KrAQAAAAD2FwbOAAAAAKhUN48cE+MW5qfNcrKy4n++eGLUr5WXcCsAAADYv9TKyYlT+3aNU/t2jYKi4nj7k0Xx8vS58cr0ebFq85Y9vn9JWVlMW7Yqpi1bFY/EjM/WG9WpFV2aNYpOzRpFl2aNo0vz//t1qwZ1fYEMAAAAAFRDBs4AAAAAqDQfzF0Sv39zbMb8mhMHx4AOrRJsBAAAAPu/unm5cUqfLnFKny5RWlYWYxcuj5emzY1XZ8yL2SvW7tVnrd+yNT5evCI+Xrxi+x65Of87fNa8cXRq2ii6t2wSB7VtET1bN41aOT6SAgAAAAD7K+/uAQAAAFAp1hUUxjceezXKy9PnRx3YPr47fGCypQAAAKCayc7KisGd2sbgTm3j+lOHxsK1G+Kt2QvjzdkL4u1PFsWGwqJKe3ZBcUlMX746pi9fvc16bnZW9GjZNA5q1yIOatsiDm7fMga0b2kIDQAAAAD2E97JAwAAAKBS/PCZt2PJuk1psyZ1a8fd550QWVmphFsBAABA9daxScO4cFDfuHBQ3ygpLYtxi5bH27MXxriFy2P8ovxYt2VrpXcoLi2LqctWxdRlq+KRmBEREbVysmNgh1ZxRJd2MaRz2zisY5toUDuv0rsAAAAAALvOwBkAAAAAe93L0+fG05NmZ8xvP/fYaNuofoKNAAAAoObJyf6/088iIsrLy2Pe6vUxflF+TFiUH+MXLo+py1bFluKSSu+ytaQ0Rs1bGqPmLY2IiOysVPRv1zJO73dgfH5AD+8TAAAAAMA+xMAZAAAAAHvVxsKi+NEzb2fMLxzUN07r2zW5QgAAAEBERKRSqejSvHF0ad44Pj+gR0RElJSWxaer1sakJStjypKVMWnJipi8dGVsKCyq1C6lZeUxflF+jF+UH796+YM4qmuH+MIhPeL0vgc6+QwAAAAAqpiBMwAAAAD2ql+/OjqWrt+UNuveskn8+vRhCTcCAAAAMsnJzoqerZpFz1bN4rxDekbE/56EtnzD5pi3Zn3MW7U+5q5eF/NW/9+v9/YwWnl5xDufLop3Pl0UP3rm7Ti5d5e49Ih+cUTndnv1OQAAAABAxRg4AwAAAGCvGbdwedw7alLaLJWK+PMXjo96ebkJtwIAAAB2RSqVijaN6kebRvW3G/oqLy+PtQWFMXf1+v8/hLYu5q1ZH7NXrI1py1bF1pLSPXr2luKSeHrS7Hh60uwY0a1D/PSEwXH4AW326J4AAAAAwK4xcAYAAADAXlFcWhpXPvVGlJenzy874uA4tGPrZEsBAAAAe1UqlYqm9epE03p1tvtzfklpWcxeuTYmL1kRU5aujElLVsakxStiU1Hxbj3r7U8WxdufLIrjehwQPz1hcBzSodXeeAkAAAAAwE4YOAMAAABgr7jjnQkxffnqtFnbRvXj2hOHJNwIAAAASFJOdlb0bt0serduFucP7BUR/zuENnXZqhg1d0mMnr80Rs9bEqs3F+7SfUfOWhAjZy2Ik3t3jp+eMDj6tW1RGfUBAAAAgP/PwBkAAAAAe2zOynVx88gxGfNbzx4RDWrnJVcIAAAA2CfkZGdF//Yto3/7lnHFUQOivLw8Zq9YGy9PnxuPT5gZM/PXVPheL0+fF6/OmB/fO3pgXH3coMjLya7E5gAAAABQcxk4AwAAAGCPlJeXxw+eeTO2lpSmzc866MA4uXeXhFsBAAAA+6JUKhU9WjWNHq2axpUjBsaUpSvjiQmz4qmJsyJ/Y8FOry8rL4/b3hwXI2cuiHvOPyF6tW6WQGsAAAAAqFmyqroAAAAAAPu3R8fPiHc/XZw2a1g7L35zxvCEGwEAAAD7g1QqFQe1axk3nj4spv7sknjikjNiSOe2Fbp28tKVcfTtj8Wd70yIsrLySm4KAAAAADWLgTMAAAAAdtuqTQVx7YvvZ8yvP3VotG5YL8FGAAAAwP4oJzsrju/ZKf71zXPimcvOisM6tt7pNVtLSuPn/3o/zrj36Vi4dkMCLQEAAACgZjBwBgAAAMBuu+6lD2JtQWHabEjntvGVw/ok3AgAAADYn6VSqRjRrWO8+q3PxxOXnBH927Xc6TUfzF0SQ297OF6bMb/yCwIAAABADWDgDAAAAIDdMmreknhk3Iy0WV52VvzxnGMiKyuVcCsAAACgOkilUnF8z07x5nfPi/svOCma1q29w/0btxbHBQ++GM9O/iShhgAAAABQfRk4AwAAAGCXFZWUxg+ffitj/oNjDovuLZsm2AgAAACojlKpVJx9cPcY9cML4oSenXa4t6SsLC59+JV4ZNz0ZMoBAAAAQDVl4AwAAACAXXbXex/HzPw1abMDmzeO7x09MOFGAAAAQHXWqkG9eOzi0+OP5xwT9fJyM+4rKy+Pbz0xMu79YFKC7QAAAACgejFwBgAAAMAuWbhmQ9w8ckzG/Nazj45aOTkJNgIAAABqglQqFRcO6hvvf/9LMahTmx3uvfq5d+IPb41LqBkAAAAAVC8GzgAAAADYJVc/905sKS5Jm53bv0cM79Yh4UYAAABATdKpWaP41zfPicuH9t/hvutfHhU3vDIqysvLkykGAAAAANWEgTMAAAAAKuylaXPilRnz0mYNa+fFjacPTbgRAAAAUBNlZ2XFr08fFj8+7vAd7rvtzXFx3UsfJNQKAAAAAKoHA2cAAAAAVMimrUXx4+feyZhfe9KQaNWgXoKNAAAAgJoslUrFT08YHL865cgd7rvjnQlx/+gpCbUCAAAAgP2fgTMAAAAAKuTmkWNiybpNabMB7VvGJYP7JdwIAAAAIOK7IwbGrWeP2OGeHz/3drw5e0EifQAAAABgf2fgDAAAAICdmpm/Ou5+b2LaLCuVits+d0xkZ3mrCQAAAKgalw45KO4+7/jISqXS5qVl5XHRQy/HzPzVCTcDAAAAgP2PTwEBAAAAsEPl5eXxk+fejZKysrT51444KPq3b5lwKwAAAIBtnT+wV/ztyydHdlb6obONhUVx/gMvxKpNBQk3AwAAAID9i4EzAAAAAHboX9PmxjufLkqbtWpQN352wuCEGwEAAACkd3q/A+OWs0ZkzBes2RAXPPivKCwuSa4UAAAAAOxnDJwBAAAAkNGW4pK45oX3MuY3njYsGtWplWAjAAAAgB27eHC/uGJY/4z5mAXL4jtPvhHl5eXJlQIAAACA/YiBMwAAAAAyuuPt8bFw7Ya02ZDObeOc/t0TbgQAAACwc9efOjRO6tU5Y/7UxFlxy8gxCTYCAAAAgP2HgTMAAAAA0lq4dkP84a1xabOsVCp+d+bwSKVSCbcCAAAA2LnsrKz4ny+dGH3bNM+45zevfxTvfboowVYAAAAAsH8wcAYAAABAWtf96/0oLClNm100uG/0a9si4UYAAAAAFVe/Vl48evHp0bpBvYx7rnhiZKzfsjXBVgAAAACw7zNwBgAAAMB23vt0UTw7+dO0WZO6teOaEwYn3AgAAABg17Vv3CAevfj0qJObkzZfvG5j/PT5dxNuBQAAAAD7NgNnAAAAAGyjpLQsrt7BB62uOXFwNK1XJ8FGAAAAALuvf/uWcc/5J2TMHx0/I16cOifBRgAAAACwbzNwBgAAAMA27v9wSsxYvjpt1rdN87hoUN+EGwEAAADsmTP6HbjD9zS+9883In/j5gQbAQAAAMC+y8AZAAAAAJ9Ztakgbnrtw4z5b88cHtlZ3lICAAAA9j83nDY0OjdrlDZbvbkwrnzqjSgvL0+4FQAAAADse3w6CAAAAIDP3Pjqh7F+y9a02Tn9u8eRXdol3AgAAABg76hfKy/uPu+EyEql0uavzpgf/xgzLeFWAAAAALDvMXAGAAAAQERETFy8Iv4+ZmrarG5uTvzqlCMTbgQAAACwdw3q1CauHDEwY37NC+/F/NXrE2wEAAAAAPseA2cAAAAARHl5efz4ubejvDx9/oNjD4t2jRskWwoAAACgEvzk+EHRr23ztNmmouL45uOvRWlZWcKtAAAAAGDfYeAMAAAAgHji41kxdsHytFmnpg3jW8MGJNwIAAAAoHLk5WTHPeefGHnZ6T8289H8ZfHAh+lPgQcAAACAmsDAGQAAAEANt7GwKH75rw8y5jedcVTUzs1JsBEAAABA5erduln8/KQjMuY3vDIqVmwsSLARAAAAAOw7DJwBAAAA1HC/f3NsLN+4OW12bI8D4qRenRNuBAAAAFD5rhg2II7s0i5ttqGwKH7+r/cSbgQAAAAA+wYDZwAAAAA12Kcr18Zd732cNsvJyorfnH5UpFKphFsBAAAAVL6srFTc9YXjo06Gk92fmDAr3p+zOOFWAAAAAFD1DJwBAAAA1GA/e+G9KC4tS5t9c2j/6NayScKNAAAAAJLTsWnDuOq4wzPmP3rmrSgqKU2wEQAAAABUPQNnAAAAADXUqzPmxesz56fNWjWoG1cdd1iyhQAAAACqwLeGDYgeGb50Z9aKtfHnDKfDAwAAAEB1ZeAMAAAAoAbaWlISP3v+3Yz5L085MhrWrpVgIwAAAICqkZeTHbeefXTG/JaRY2Lh2g0JNgIAAACAqmXgDAAAAKAGuuu9iTF39fq02WEdW8cXBvRMuBEAAABA1RnatX184ZAeabMtxSXxk+feSbgRAAAAAFQdA2cAAAAANcySdRvj1pFj0mapVMTvzhweWVmphFsBAAAAVK0bTh0WDWvnpc1enj4vXpo2N+FGAAAAAFA1DJwBAAAA1DA//9f7UVBckjb7ymF9YkCHVgk3AgAAAKh6LRvUjZ+fdETG/CfPvxObi4oTbAQAAAAAVcPAGQAAAEAN8t6ni+KZSZ+kzRrVqRXXnjQk4UYAAAAA+46LB/eNAe1bps0Wrd0Yd737ccKNAAAAACB5Bs4AAAAAaoji0tL48XPvZMx/dsLgaFG/boKNAAAAAPYt2VlZ8fuzj45UKn1+xzvjY9WmgmRLAQAAAEDCDJwBAAAA1BB/HTU5ZuavSZv1bt0sLhncL+FGAAAAAPueAR1axaVDDkqbbdxaHLe9OS7hRgAAAACQLANnAAAAADXAio0F8ZvXP8qY33zWiMjJ9lYRAAAAQETENScMjkZ1aqXN7hs9ORau3ZBwIwAAAABIjk8RAQAAANQAv3r5g9hYWJQ2O7d/jziyS7uEGwEAAADsuxrXrR3fGzEwbVZUWha/ee3DhBsBAAAAQHIMnAEAAABUc2MWLItHxs1Im9XPy43rTz0y4UYAAAAA+76vH3lwtGlYL232+ISZMW3ZqoQbAQAAAEAyDJwBAAAAVGOlZWXx42ffzphfddzh0aZR/eQKAQAAAOwn6ublxtXHD0qblZdH3PDKqIQbAQAAAEAyDJwBAAAAVGN/HzMtJi1ZmTbr1qJJfHNo/2QLAQAAAOxHLji0d3Rr0SRt9uqM+TF63tKEGwEAAABA5TNwBgAAAFBNrdm8JW54ZXTG/LdnHhV5OdkJNgIAAADYv+RkZ8W1Jw3JmP/ypQ+ivLw8wUYAAAAAUPkMnAEAAABUUze++mGsLShMm53Wt2sc0/2AhBsBAAAA7H9O79s1BnZolTYbs2BZvDx9XsKNAAAAAKByGTgDAAAAqIYmLV4Rf/toStqsdk52/Pq0YQk3AgAAANg/pVKpuO7kIzLmN7wyKkrLyhJsBAAAAACVy8AZAAAAQDVTVlYeVz33dpSXp8+/f/Sh0bFpw2RLAQAAAOzHhh3YIY7tkf60+Jn5a+KJCbMSbgQAAAAAlcfAGQAAAEA188THM2PsguVpswOaNozvjBiYcCMAAACA/d+OTjm75Y0xUVLqlDMAAAAAqgcDZwAAAADVyPotW+O6f32QMb/p9KOiTm5Ogo0AAAAAqod+bVvEuf17pM3mrV4fT37slDMAAAAAqgcDZwAAAADVyM0jP4oVmwrSZsf1OCBO7t054UYAAAAA1cfPThwU2VmptNmtTjkDAAAAoJowcAYAAABQTcxYvjr+8sGktFludlb85oyjIpVK/4EoAAAAAHauc7PGcf4hvdJmc1evj6cmOuUMAAAAgP2fgTMAAACAaqC8vDyufu6dKC0rT5t/66gBcWCLJgm3AgAAAKh+fnjsoTs45WysU84AAAAA2O8ZOAMAAACoBp6e9Em8N2dx2qxto3rxw2MOS7gRAAAAQPXUuVnjOO+QnmmzOavWOeUMAAAAgP2egTMAAACA/dzagsL46fPvZMxvOHVY1K+Vl2AjAAAAgOrth8cclvGUs9+/MTZKy5xyBgAAAMD+y8AZAAAAwH7u2hffi5WbtqTNhnZpF2cf3C3hRgAAAADVW5fmjeMLA9KfcvbpqnXxz4mzE24EAAAAAHuPgTMAAACA/djbnyyMR8bNSJtlZ6Xid2eNiFQq/bdtAwAAALD7fnjMYZGV4X2XW51yBgAAAMB+zMAZAAAAwH6qoKg4vvfPNzPm3x0+MHq3bpZgIwAAAICao2uLxvGFQ3qkzT5ZuTaenvRJwo0AAAAAYO8wcAYAAACwn/rNax/FgjUb0mZdmzeOq447POFGAAAAADXLj445POMpZ7eMHOOUMwAAAAD2SwbOAAAAAPZDExeviLve+zhj/qdzjok6uTkJNgIAAACoebq2aBznDuieNvtk5dp4xilnAAAAAOyHDJwBAAAA7GeKS0vju0+NjLLy8rT5hYP6xpFd2yfcCgAAAKBm2tEpZ394a1yUZ3gPBwAAAAD2VQbOAAAAAPYzf37345iydFXarHWDevGrU45MuBEAAABAzdWtZZM4p3/6U86mL18db8xekHAjAAAAANgzBs4AAAAA9iNzVq6L373+Ucb8lrNHRKM6tZIrBAAAAED86NjDIsMhZ3H72xOSLQMAAAAAe8jAGQAAAMB+orSsLL795MgoLClNm5/et2uc1rdrwq0AAAAA6N6yaZzaJ/37Mu/NWRwTFuUn3AgAAAAAdp+BMwAAAID9xN3vTYwP5y9NmzWsnRe/O3N4wo0AAAAA+LfvDj8kY3bHO+MTbAIAAAAAe8bAGQAAAMB+YFb+mrjx1dEZ8+tPHRptGtVPsBEAAAAA/+mwA9rEkM5t02bPT5kTc1etS7YQAAAAAOwmA2cAAAAA+7iS0rK44onXY2tJadp8WNf28ZXD+iTcCgAAAID/9t3hA9Oul5WXx5/f+zjhNgAAAACwewycAQAAAOzj/vj2+JiwKD9tVj8vN+78/HGRlZVKuBUAAAAA/+2Enp2iZ6umabNHxk6PlZsKEm4EAAAAALvOwBkAAADAPmzK0pVx88iPMua/Pn1YdGzaMMFGAAAAAGSSlZWK7ww/JG1WWFIa//PB5IQbAQAAAMCuM3AGAAAAsI8qKimNyx9/PYpLy9Lmx/U4IL5yeJ+EWwEAAACwI+f27xFtGtZLm/3PqEmxaWtRwo0AAAAAYNcYOAMAAADYR93yxpiYtmxV2qxRnVrxp3OPjVQqlXArAAAAAHYkLyc7Lh82IG22bsvWeHjs9IQbAQAAAMCuMXAGAAAAsA+asCg//vDWuIz5784cHm0b1U+wEQAAAAAVdeGgPtGgdl7a7M53P47i0tKEGwEAAABAxRk4AwAAANjHbNpaFF9/9NUoLStPm5/ap0t8YUCPhFsBAAAAUFENa9eKSwb3S5stXrcxnp38acKNAAAAAKDiDJwBAAAA7GOueeG9mLNqXdqsWb3acdvnjolUKpVsKQAAAAB2yTeOPDhys9N/NOfOdyZEeXn6LxsCAAAAgKpm4AwAAABgH/LClE/j72OmZcx/f/bR0bJB3QQbAQAAALA72jSqH+cd0jNtNnnpyhg1b2nCjQAAAACgYgycAQAAAOwjlq7fFFf+882M+bn9e8SZB3VLsBEAAAAAe+LbRx2SMbvn/YnJFQEAAACAXWDgDAAAAGAfUFZWHpc//lqsLShMm3do0iBuPXtEop0AAAAA2DM9WjWN43t2Spv9a9qcmL96fbKFAAAAAKACDJwBAAAA7AP+/N7H8e6ni9NmWalU/OX8E6NRnVoJtwIAAABgT10+tH/a9fLyiHs/mJRsGQAAAACoAANnAAAAAFVs8pIVccMrozLmPzzmsBjSuW2CjQAAAADYW0Z06xA9WzVNmz00dlpsKNyacCMAAAAA2DEDZwAAAABVqKCoOC579NUoLi1Lmx/WsXX8+LjDE24FAAAAwN6SSqXimxlOOdu4tTgeGTcj2UIAAAAAsBMGzgAAAACq0E+eeydmr1ibNquflxt/+eIJkZPtLRwAAACA/dkXDukZTevWTpvd8/7EKC1L/2VEAAAAAFAVfFoJAAAAoIr8/aOp8Y+x0zPmN581Ijo3a5xcIQAAAAAqRZ3cnLh4cL+02YI1G+KV6fMSbgQAAAAAmRk4AwAAAKgCHy/Kjx8/907G/OyDu8X5A3sm2AgAAACAynTpkH6Rk5X+ozp3vz8x2TIAAAAAsAMGzgAAAAAStnrzlvjqP16KrSWlafN2jevHbWcfHalUKuFmAAAAAFSWNo3qx9kHd0ubfTB3SUxesiLhRgAAAACQnoEzAAAAgASVlpXF1x99NRav25g2z83OivsvODka162dcDMAAAAAKtsVwwZkzJxyBgAAAMC+wsAZAAAAQIJ++/pH8ebshRnzX58+LA4/oE2CjQAAAABISv/2LWNwp7Zps39OnB35Gzcn3AgAAAAAtmfgDAAAACAhL0+fG7e+MTZj/oVDesTXhhyUYCMAAAAAknb5sP5p14tLy+L+0VOSLQMAAAAAaRg4AwAAAEjA3FXr4puPvZYx7926Wfzhc8dEKpVKsBUAAAAASTu1T5fo2KRh2uz+0VOisLgk4UYAAAAAsC0DZwAAAACVbPXmLXHe/c/HhsKitHnD2nnxj6+eGnXzchNuBgAAAEDSsrOy4utHpj/lftXmLfHUxFkJNwIAAACAbRk4AwAAAKhEm4uK4/wHno9PV63LuOfu806ILs0bJ9YJAAAAgKr15cP6RP0MXz5093sTo7y8POFGAAAAAPB/DJwBAAAAVJKS0rK45KGXY9zC/Ix7fnjMYXFKny4JtgIAAACgqjWqUyu+dFjvtNn05avjvTmLE24EAAAAAP8np6oLAAAAAP+rvLw8NhQWxcpNBbFy05ZY9R//X1peHgc0bRjdWzaN7i2bRMPataq6LjtRXl4e33/6zXht5vyMe47u1iF+esKg5EoBAAAAsM/4xpEHx/+MmhTpDjO7672P46gDOyRfCgAAAADCwBkAAABUqdKysnj308Xx+ISZ8drM+bG2oLBC17VpWC+6t2waPVo1jeEHdogTenaKnGwHme9Lbnrtw3ho7PSMec9WTeP+C06O7Cz/3gAAAABqoi7NG8dJvTrHy9PnbZe9OmN+zFm5Lrq2aJx8MQAAAABqPANnAAAAUAWmLVsVj0+YGU99PCuWbdi8y9cv27A5lm3YHO98uiju/WBStG1UPy4e3C8uHNQnWtSvWwmN2RX3jZ4ct74xNmPetlH9eOrSM6Nx3doJtgIAAABgX3P50P5pB84iIv7ywcS4+awRyRYCAAAAgDBwBgAAAIkpKyuPxybMiLvfmxhTl63aq/deun5T/PrV0XHLyI/irIO7xWVHHBwDO7SKVCq1V5/Dzj0/5dO46tm3M+aN69SKf37tzGjXuEFypQAAAADYJw3t2j76tGke09K8X/jIuBlxzYlDolGdWlXQDAAAAICaLKuqCwAAAEBNMH/1+jjz3qfjW0+M3OvDZv+pqLQsnpgwK46/84k47s4n4uXpc6O8vLzSnse2Xp85P772yCuR6R957ZzsePTi06Nnq2bJFgMAAABgn5RKpeKKYf3TZpuLiuPvY6YlWwgAAAAAwsAZAAAAVKqysvK494NJceRtD8f7c5ck+uwJi/LjS397MY6/84l4Y9YCg2eV7P05i+Orf/9XFJeWpc2zUqn465dOisGd2ibcDAAAAIB92ecO7h4t6tdJm937waQoyfB+EwAAAABUFgNnAAAAUEnmrFwXp/3ln3H1c+9EQXHJLl9fLy83DmjaMA7t2Cr6t2sZ9fJyd6vH+EX5ce59z8XJdz8V7366aLfuwY6NWbAszn/ghSgsKc2459azR8SpfbsmVwoAAACA/ULt3Jy4ZHC/tNnidRvjX9PmJNwIAAAAgJoup6oLAAAAQHVTXl4e97w/MW54ZXRsqeCgWa2c7Dild5f4/CE9ok/r5tGsfp3tBszKyspjyfpNMWvF6pidvzY+XrwiXpj6aWzdwZDTf/po/rI4895nYmiXdnHjacPi4PYtd/m1sb3JS1bE5+97LjYXFWfc8+PjDo+LM3xoCAAAAAAuGXJQ/OGtcVGU5jSzu9+fGGce1K0KWgEAAABQUxk4AwAAgL2orKw8rvznG/HQ2OkV2n9kl3Zx3iE944x+B0ajOrV2uDcrKxUdmjSIDk0axHE9OkVExOrNR8VDY6fHfaMnx6K1Gyv0zPfnLolj7ng8Lh3SL645cchOn0tmM/NXx+f++mxsKCzKuOcbRx4cPzl+UIKtAAAAANjftGxQN84d0CMeGTdju+yj+ctiwqL8OKRDqypoBgAAAEBNlFXVBQAAAKC6KCsrj+8+VbFhsyM6t40xP/pKvPjNc+Irh/fZ7aGvZvXqxJUjBsbHV18YD194WhzTvWPFupaXx/+MmhyH3/KPeGLCzCgvL9+t59dkc1eti7PvfTZWby7MuOerh/eJ35xxVKRSqQSbAQAAALA/+ubQ/hmzu977OLkiAAAAANR4Bs4AAABgL/j3yWYPj9vxsFm9vNz43ZnD44VvnBPdWjbZa8/PzsqKU/p0iX9+7ax458rz46RenSt03YpNBfGNx16LM+99JmavWLPX+lR3U5etilPufiqWb9yccc+5/XvEbZ872rAZAAAAABXSr22LGNqlXdrsucmfxpJ1GxNuBAAAAEBNZeAMAAAA9lBZWXl87587P9lsWNf28f73vxRfP/LgyMqqvCGkg9q1jEcvPj1GfvsLcWwFTzx7b87iGPqHR+I3r30YRSWlldatOhg1b0mcevdTkb+xIOOeU/t0ibvOOy6ys7z1AgAAAEDFXT6sf9r1krKy+J9Rk5MtAwAAAECN5VNPAAAAsAfKysrj+0+/Gf/YwbBZndyc+P3ZR8ezl50dnZo1SqzbwI6t46mvnRUvXX5uDOvafqf7i0vL4uaRY+K4Ox+PactWJdBw//ParAVxzv88GxsKizLuObZ7x7jvgpMiNzs7wWYAAAAAVAcn9uocnTO8h/i3j6bGpq2Z35cCAAAAgL3FwBkAAADsprKy8vjB02/G38dMy7inTm5OPHbx6XHJkH6VeqrZjgzp3Dae/8bn4uELT432jRvsdP+Upavi6Nsfi9veHBslpWUJNNw/vDovPy597PUo3MEJcEd0bht//+qpUSsnJ8FmAAAAAFQX2VlZ8c2h/dNm67dsjUfGzUi2EAAAAAA1koEzAAAA2E3XvvhePLiDYbPaOdnx6EWnx1EHdkiwVWan9OkaH/7oy/G9owdGTtaO3xIoLi2LG14ZHSfd9WTMXrEmoYb7ridmLolbxnwapWXlGfcc0bltPHbxGVE3LzfBZgAAAABUN186tFc0qlMrbXbP+xOjtMyXRAEAAABQuQycAQAAwG548uNZcff7EzPmtXOy47GLz4jh3faNYbN/q5eXG9edfGS89/0vxtAu7Xa6f/yi/Bj+x0fjrnc/jrIdDFtVV1tLSuOO8XPi3knzd7jvlD5d4p9fOysa1M5LphgAAAAA1Vb9Wnlx0aC+abN5q9fHK9PnJdwIAAAAgJrGwBkAAADsotkr1sT3//lmxrx2TnY8evHp+9yw2X/q2apZPP+Nz8U9558QTevW3uHewpLSuObF9+K0v/wz5q1el0zBfcC81evizPuej+c+Xb7DfV8+rHc8+OVTonZuTkLNAAAAAKjuLjvioMjJSv+xnj+/93HCbQAAAACoaQycAQAAwC4oKCqOC//xUmwuKk6b187JjkcuOj1GdOuYcLNdl0ql4rxDesboH345TunTZaf7R89bGsP+8GjcP3pKlJdX79POnp38SQz/02MxeemqHe67csTAuP3cYyMn21ssAAAAAOw97Ro3iLMP7pY2Gz1vaUxYlJ9wIwAAAABqEp+GAgAAgF1w1bNvx8z8NWmzrFQqHrrwtDi6+74/bPafWjaoGw999dS4+7zjo2HtvB3u3VxUHD985q0456/PxuJ1GxNqmJzC4pL44TNvxcUPvRwbC4t2uPeGU4fGL085MlKpVELtAAAAAKhJX1SExQAA2fhJREFUrhg2IGN2l1POAAAAAKhEBs4AAACggh4aOy0eGTcjY37tSUPi2B4HJNho70mlUnH+wF4x6gcXxLEVGJh765NFccRtD8ffP5oaZWXV47SzWflr4vg7n4j7R0/Z4b7srFTc9YXj49vDD0moGQAAAAA1Uf/2LePILu3SZs9O/qRafiEUAAAAAPsGA2cAAABQAVOXrYqrnnk7Y35Cz05x5fCByRWqJO0aN4gnLz0z/njOMVE/L3eHezcWFsWV/3wzTrrryZi4eEVCDfe+rSUl8dvXPoxhf3wkpi5btcO9LevXiWe+dlZ88dBeCbUDAAAAoCbLdMpZaVl53PvBpITbAAAAAFBTGDgDAACAndhQuDUu+sdLUVhSmjZv37hB3H3e8ZGVlUq4WeVIpVJx4aC+8cEPLoihGb5B+T+NXbg8jrnjsfjB02/F2oLCBBruPR/MXRLD/vBo/G7kmCguLdvh3kNaNYrXL/9cDDuwQ0LtAAAAAKjpTurVObo0a5Q2e/CjqbGxsCjhRgAAAADUBAbOAAAAYAfKy8vj+/98K+asWpc2z83Oige+fHI0rVcn2WIJ6Ni0YTz39c/Fb884Kurk5uxwb3l5xAMfTolDb/57/O3DqVFatuPhraq2rqAwrnzqjTjtnn/GJyvX7nBvVirior4d4zdH9YkW9esm1BAAAAAAIrKyUnF5hlPONhQWxSPjpifcCAAAAICaYMefFgMAAIAa7vkpn8bTk2ZnzG84dWgc2rF1go2SlZWVim8M7R/H9jggrnj89Ri7cPkO968pKIzvP/1mPPDhlLjmxCFxfM8DIpXad05+Kykti0fHz4gbXxkdKzYV7HR/6wZ146pDu8TBLdN/izQAVCdz5syJxYsXx5o1a2LNmjWRlZUV9evXj44dO0aPHj2icePGVV0xcR9++GG88sorMX78+FixYkUUFBREs2bNokOHDnH00UfHqaeeGq1atdqrz3zvvffia1/72jZrf/7zn+O4447bq88BAGD/8cVDe8WvXx0d67Zs3S67+/2J8bUjDorsLN85DQAAAMDeY+AMAAAAMlhXUBg/fvadjPmZ/Q6Mrx95cIKNqs6BLZrEy1ecG3e++3Hc9OroKCrd8Qlmk5eujPMeeD4OP6BNXHvi4Bh2YIeEmqZXXl4e/5o2N258ZVTMWrHjE83+7dgeB8QfzxwW+QvmVXI7AKg6H3/8cTzxxBMxatSoWL4882B5VlZW9OvXL84888w466yzol69egm23N7Xv/71eOed9L9Pa9euXbz55pt7dP+FCxfGL3/5y/jggw+2y5YtWxbLli2LMWPGxO233x6XX355fO1rX4vs7Ow9emZERFFRUdx4443brA0dOnSfHDbr0aPHdmuHH354/OMf/9irz3n66afjpz/96Xbrv/rVr+L888+v0D0WL14cxx577C49Nzc3N/Ly8iIvLy8aN24czZs3jxYtWkSnTp2ia9eu0bt37+jSpcsu3XNXZOp89tlnx29/+9tKey4AsG+ql5cbFw/uF394a9x22YI1G+KFqXPirIO6VUEzAAAAAKorA2cAAACQwc//9X7GU7C6NGsUfzr32H3q9K7Klp2VFVeOGBin9+0aP3n+3Xh95vydXjNmwbI4495nYviBHeLak4ZUyWlw789ZHL96+YMYtzC/Qvub1q0dvz59WJx3SM8oLCyMil0FAPuXWbNmxa233hrvvvtuhfaXlZXFpEmTYtKkSXH33XfHVVddFWeeeWYlt0zvxRdfzDhstjfMnDkzLrrooli7dudD6lu2bInbbrstZsyYEbfeemvk5OzZX7v87W9/i/nz53/2c25ublxzzTV7dE92T3FxcRQXF8fmzZtj7dq1MW/e9l9C0LRp0xg0aFCcdNJJMWLEiKhdu3YVNAUAaorLjjgo7nx3QhSn+SKoO96ZEGf2O7BGvVcJAAAAQOUycAYAAABpvPPJonho7PS0WXZWKu674ORoVKdWwq32DV2aN47HLz49XpkxL376/LuxYM2GnV7zzqeL4p07F8URndvGOf17xBn9ukbz+nUrreOmrUUxctaCeGjMtHhj9sIKX3f+wJ5x42nDolm9OpXWDQCq2osvvhjXXHNNFBYW7tb1K1eujB//+Mfx4YcfxvXXXx+5ubl7uWFm69ati5tuuqnS7r9y5coKD5v9p5dffjnq16+/3elkuyI/Pz/uvvvubdYuvPDCSj1Fiz2zZs2aePnllz/793/eeefFhRdeGK1atarqagBANdSmUf04p3/3eGz8zO2yCYvy44O5S2Jo1/ZV0AwAAACA6sjAGQAAAPyXgqLi+N4/38iYf/uoQ6J/+5YJNtr3pFKpOLl3lxjRrWPc/vb4+ONb46KwpHSn142atzRGzVsaP37u7RhxYIf4XP/ucWqfrntleG9tQWG8Mn1evDD103hz9sLYWoE+/9a5WaO47XNHx4huHfe4BwDsy+699974/e9/v1fu9fTTT8fGjRvjj3/84x6f7FVRv/vd72L16tWVdv/rr79+u2GzVq1axZVXXhlHHXVUNGjQIObPnx+PP/54PProo1FeXv7ZvieffDJOOOGEOOqoo3br2TfffHMUFPzf6botW7aMK664YvdeCInbtGlT3HffffHwww/H17/+9bjssssiLy+vqmsBANXMt486JO3AWUTE7e9MMHAGAAAAwF5j4AwAAAD+y29e+yjmZzi1q0uzRnH18YMSbrTvqpObE1cfPyjOH9gzfvGv9+P5KXMqdF1pWXm8MXthvDF7YXwv+83o3bpZ9G7dPHq3bha9WjeL3q2bReuG9SKVSqW9fm1BYczIXx0zlq+OmflrYtqyVTFmwbIoLStPuz+T3Oys+NZRA+LHxw2KOrneJgGgehs5cmTcdtttabOcnJw4/fTT4/jjj49evXpFs2bNorCwMPLz82PUqFHx7LPPxowZM7a77vXXX49bb701fvKTn1R2/Rg9enQ8/fTTlXb/yZMnx2uvvbbNWseOHePxxx+Ppk2bfrbWs2fPuO666+Lggw+Oq6++epv9t956624NnI0bNy5efPHFbdauuuqqqFev3i7fi4rr3bt3HH/88RnzrVu3RlFRUaxZsyZWrFgRc+bMifz8/B3es7CwMG6//fZ4/fXX44477ogOHTrs7doAQA3Wp03zOK7HATFy1oLtstdnzo/py1dH79bNqqAZAAAAANWNT1IBAADAf/h4UX7c9d7HGfM/nXuswaQ0DmjaKB78yqkxcfGKuPHV0fFGmg+9ZFJcWhaTlqyMSUtWbrPeoFZu1M7NidzsrMjJyo7c7KzIzc6KtQWFkb+xIMPdKiaVivjCgJ7x0xMGxQFNG+3RvQBgf7Bo0aK4+uqrtzmR69969+4dt956a3Tt2nWb9Vq1akWjRo2ie/fu8dWvfjUee+yxuOmmm6K4uHibfQ888EAMHTo0hg4dWmn9CwsL4xe/+MU2a+3atYutW7fGqlWr9sozHnvsse3Wbrnllm2Gzf7TWWedFaNHj45nn332s7VZs2bFhAkT4pBDDqnwc0tLS+P666/fZu3QQw+NM844o8L3YPf06NFjl0+RW7NmTXz00Ufx1ltvxWuvvRZbtmxJu2/GjBlx7rnnxgMPPBC9e/feG3UBACIi4rvDD0k7cBYRcec7E+Ku8zIP1AMAAABARWVVdQEAAADYVxSXlsZ3n3ojytJ8EDsi4sLD+8TQru0TbrV/6d++ZTx16Znxr8vPiSM6t92je23cWhwrN22Jpes3x8K1G2LOqnUxM3/NHg+bndCzU7z7vS/FPeefYNgMgBrjrrvuik2bNm233q9fv/j73/++3bDZf8vKyoovfelLceedd0Z2dvZ2+Q033LDdINredMcdd8TChQu3WbvuuuuiVq1ae+X+5eXlMXLkyG3WhgwZEv3799/hdd/61re2W/vvU9J25tFHH41Zs2Z99nN2dnb8/Oc/36V7kJymTZvGySefHDfffHO899578Z3vfCfjSXTr1q2Liy++OObMqdgpwAAAFTG0a/vo365l2uypibNi6frtf98PAAAAALvKwBkAAAD8f3e8MyGmLkt/QkbrBvXiV6dW3qkd1c0RndvFi988J/75tTPj0I6tqrpOREQcdkDr+Nfl58Tjl5wRfds0r+o6AJCYRYsWxfPPP7/det26deMPf/hDNGjQoML3GjFiRFx22WXbrc+fPz+ee+65PeqZyYwZM+Jvf/vbNmsnnXRSDB8+fK89Y/78+bF+/fpt1k444YSdXtexY8fo06fPNmuTJk2q8HPXrFkTt99++zZr559/fvTs2bPC96DqNGjQIL797W/HCy+8EIceemjaPevWrYvvfe97UVhYmHA7AKC6SqVS8d0R6U/ULS4ti3ven5hsIQAAAACqJQNnAAAAEBHzV6+Pm0eOyZjfcvaIaFRn75ygUVOkUqk4pvsB8fq3z4sPfnBB/PCYw6Jzs2RPFGtZv25cNKhvPPf1s+PVKz4fR3Rul+jzAWBf8PTTT0dJScl26xdffHF06NBhl+/3rW99K5o33354+/7779+tfjtSWloa11577Tb969evHz/72c/26nNmzpy53Vrfvn0rdO1/70t3r0z+8Ic/bDPo1qRJk7jyyisrfD37hnbt2sUDDzwQJ510Utp89uzZ8cc//jHZUgBAtXZ63wPjgKYN02Z/+3BKrN+yNeFGAAAAAFQ3Bs4AAAAgIq5/eVRsLSlNm53Rr2uc1rdrwo2ql96tm8W1Jw2J8T/+arz5nfPi20cNiLaN6lfKszo2aRjfGjYgXr7i3Jh+7SXxh3OOiaMO7BCpVKpSngcA+7rRo0dvt5adnR3nnXfebt0vLy8vzj333O3W58yZE5MnT96te2by4IMPxtSpU7dZ+/73vx+tWu3dE1TXrVu33VpFh/EOOOCAbX4uKCiIoqKinV43ZcqUeOqpp7ZZ+/73vx+NGiU7oM/ekZeXF7fccksMHDgwbf7QQw/FggULEm4FAFRXOdlZccWwAWmzjVuL48GPpqbNAAAAAKCicqq6AAAAAFS1MQuWxTOTP0mbNapTK3535ohkC1VjqVQqBnRoFQM6tIpfnTI0pi1fFVOXrorpy1fF9OWrY/qy1bF84+YK369RnVrRs1XT6NWqWfRq3SwGd2oT/dq2MFwGAP9fQUHBdgNbERE9e/bco6Gt4cOHxz333LPd+ksvvRQHHXTQbt/3Py1atChuv/32bdb69esXX/rSl/bK/f/Txo0bt1urX79iw/Hp9m3YsCHtKXD/Vl5eHjfeeGOUlZV9ttanT5/4/Oc/X6Fnsm/Ky8uLm2++OU4//fQoKCjYJisuLo6//vWvccMNN1RROwCgurngsN7x29c/irUFhdtl97w/Mb45tH/k5WRXQTMAAAAAqgMDZwAAANRo5eXl8fMX38+Y/+qUI6N1w3oJNqo5srJS0a9ti+jXtsU262s2b4kZy1fH6oLCKC4ti+LS0igpK/v/vy6L7KxUdGnWOHq2ahqtG9YzXAYAO7Bw4cIoLi7ebv3ggw/eo/v26dMncnNzt7v3++9n/n3VrvrlL38ZW7Zs+ezn7OzsuP766yMrK2uvPWNHysvL9+q+//TMM8/ExIkTP/s5lUrFz3/+88ReG5Wnffv2cckll8Sdd965XfbCCy/EVVddFQ0bNqyCZgBAdVMvLzcuO+KguHnkmO2yZRs2x1MTZ8WXDu1dBc0AAAAAqA4MnAEAAFCjPT/l0xizYFnarE+b5vHlw3woI2lN69WJI7u2r+oaAFAtrF27Nu16mzZt9ui+tWrViiZNmsSKFSu2Wf/kk09izZo10bRp0z26/3PPPbfd8NqXv/zl6N27cn5v1qBBg+3WNm/eHHl5eTu9dvPm7U9n3dFA0caNG+P3v//9NmtnnXVWDBgwoAJN2R9ceOGF8de//jUKC7c9bWTLli3x5ptvxllnnVU1xQCAaueyIw6K298eH4Ulpdtld7wzIc4/pFdkZfmyJgAAAAB2na/KBAAAoMYqKimNX770Qcb8xtOGRrZTJgCA/VimgbN0A1a7qlGjRmnXp02btkf3XbNmTfzmN7/ZZq1169bx3e9+d4/uuyONGzfebm3x4sUVunbRokXb/Fy3bt0dDqrdcccdsWrVqs9+rl+/fvzoRz+qWFH2Cw0bNozjjjsubfb2228nWwYAqNaa168bX8xwitnM/DXxyoy5CTcCAAAAoLrwqTkAAABqrPtGT475azakzY7rcUCM6NYx4UYAAPu/mTNn7tH1v/nNb7YblLv22mujfv36e3TfHenRo8d2a1OnTq3Qtf89YJfuXv/2ySefxMMPP7zN2ne+851o3rx5hZ7F/uOYY45Juz5u3LiEmwAA1d23hg2IVIZDzG4ZOTbKy8uTLQQAAABAtWDgDAAAgBppXUFh3DxyTNosK5WKX506NOFGAAB7X8OGDdOub9y4cY/vvX79+rTr/33i1654//334/nnn99m7eijj47jjz9+t+9ZEZ07d97un9XIkSN3et2yZctiypQp26z169cv4/4bb7wxSkpKPvv5wAMPjC9/+cu72Jb9weGHH552feXKlZGfn59wGwCgOuvaonGc0ffAtNnEJSti5KwFCTcCAAAAoDowcAYAAECNdOsbY2Pdlq1ps68c1jt6t26WcCMAgL2vcePGadeXLVu2R/ctKira7hSyf1u8ePFu3XPLli1x3XXXbbNWt27d+MUvfrFb99sVqVQqjj766G3WPvjgg+2Gyf7bPffcs92JEccdd1zavS+//HJ8+OGH26xde+21kZOTsxuN2de1aNEi48l1s2fPTrgNAFDd/eCYQzNmt7wxxilnAAAAAOwyA2cAAADUOPNXr497R01Km9XLy42fnjg44UYAAJWjbdu2adcnTUr/e6GKmjZtWhQXF6fNVq9evVv3vP3227cbVvvOd76T8TXsbeedd942P5eXl8dVV10V69atS7v/tddei8cff3ybtS5dusSgQYO227tly5b43e9+t83aiSeeGEOGDNmz0uzTunTpknZ9+fLlCTcBAKq7g9q1jBN7dUqbjV2wPN6bs3tfCgEAAABAzeVrMwEAAKhxrn95VBSXlqXNrhwxMFo1qJdwIwCAytG0adM48MAD49NPP91mfdasWbFixYpo2bLlbt333XffzZhlGtDakalTp8aDDz64zVrPnj3jq1/96i7fa3cNHDgwjjrqqG1e27x58+Lss8+OK6+8MoYNGxYNGjSIBQsWxFNPPRV///vftzsp4vvf/37ae99zzz3bnCpXp06d+MlPflI5L6QKjRkzJnr06FHVNfYZmf77ys/PT7gJAFATXHXs4fHqjPlps1tGjomjDuyQbCEAAAAA9mtOOAMAAKBGGb9weTwz+ZO0WZuG9eKKowYk3AgAoHIddthh262VlJTEE088sVv3Ky4ujieffDJjvmnTpl26X0lJSVx77bVRWlr62VpWVlZcf/31kZOT7PfmXX/99dGwYcNt1pYuXRpXX311HHHEEdGvX7847bTT4m9/+1uUlW37BQannnpqnHDCCdvdc+HChXH//fdvs/b1r389sZPbqDpNmzZNu76r/40AAFTEwI6t45juHdNm789dEqPnLU24EQAAAAD7MwNnAAAA1Ci/GzkmY3bNiUOiXl5ugm0AACrfaaedlnb9/vvvj8WLF+/y/e6+++5YuXJlxryoqGiX7vfAAw/EjBkztlk777zz4uCDD97lbnuqTZs2cd999203dLYzw4cPj9/85jdps5tuummbfyYdOnSIr33taxnvtXz58rjvvvviK1/5SowYMSL69esXgwYNitNPPz1+9atfxYcffrhL3ag6tWrVSrteWFiYcBMAoKb40bGHZ8xufSPz+6IAAAAA8N8MnAEAAFBjTFy8Il6fOT9t1qdN8zh/YM9kCwEAJODQQw+NAQO2P8V18+bN8YMf/GCXTlt699134y9/+csO95SUlFT4fgsXLow777xzm7UWLVrED3/4wwrfY2876KCD4rHHHkt7Mtx/y8vLi8svvzzuvPPOtMNF77zzTrz11lvbrP3sZz+LvLy87faWlJTEXXfdFSeeeGLcfPPNMWbMmFi2bFkUFRXFunXrYvbs2fHII4/EhRdeGJdeemksWrRo918kicjNTf9lFrs6lAkAUFFDOreNoV3apc3enL0wxi9cnnAjAAAAAPZXOVVdAAAAAJKyo2/xve7kIyI7y/eyAADV07e//e249NJLt1ufNGlSfPWrX41bb701unTpkvH68vLyeOKJJ+KGG27Y6UBZdnZ2hXtdd91125329NOf/jQaNGhQ4XtUhq5du8ZDDz0U77//frz22msxfvz4WLlyZRQUFESzZs2iffv2MXz48DjttNOibdu2ae9RVFQUN9100zZrRx11VBxzzDHb7S0uLo7vfe97MXLkyAr1e//99+O8886LBx98MLp167brL7CStGvXLs4999y9es8ZM2bEa6+9tlfvmZRMg2XpBg4BAPaWHx17eLw/95m02a1vjI1HLz494UYAAAAA7I8MnAEAAFAjTF22Kv41bW7abGCHVnFcjwMSbgQAkJyhQ4fGJZdcEvfff/922bRp0+KMM86I008/PU444YTo1atXNG3aNLZu3Rr5+fkxatSoeOaZZ2L69OnbXNeuXbtYsmTJdver6DDN008/HaNGjdqu56mnnroLr6xyDR06NIYOHbpb1z7wwAMxf/78z37Ozc2Na665Ju3eX/ziFxUeNvu31atXx4UXXhgvvPBCNGvWbLc67m3t2rWLK664Yq/e8+mnn95vB862bt2adr127doJNwEAapKjDmwfhx3QOsYu2P40s1dmzIspS1dGv7YtqqAZAAAAAPsTA2cAAADUCL/fwelmPzr28EilUgm2AQBI3g9/+MOYMWNGjB49erusuLg4nn766Xj66acrdK86derEzTffHBdccMF2Wb169XZ6/erVq+N3v/vdNmu1atWK6667rkLP39fl5+fHPffcs83axRdfHJ06ddpu71tvvbXdP/esrKy44IIL4vOf/3x06tQpNmzYEO+++2788Y9/jBUrVny2b/Xq1XHDDTfEH//4x8p4GeyhNWvWpF2v6hP8AIDqLZVKxVXHHh5fuP/5tPmtb4yJB7+y73zJAwAAAAD7pqyqLgAAAACVbVb+mnhuyqdps4PatogTe3VKthAAQBXIycmJe++9N84+++w9uk/9+vXj7rvvju7du6fNW7TY+WkJN910U6xbt26btcsvvzw6duy4R932Fb/97W+joKDgs59btWoVl19+edq9v//977f5OZVKxW233RbXXntt9OjRI2rVqhUtWrSIc845J55++ulo167dNvtffvnlmDZt2t5/Eeyx/xwO/E+tWrVKuAkAUNMc1+OAGNC+Zdrs+SlzYuqyVQk3AgAAAGB/Y+AMAACAau/3b46N8vL02Y+OPczpZgBAjZGXlxe//e1v48Ybb9ytoZeDDz44nnzyyRgyZMh2A2P/1rJl+g+2/ts777wTL7744jZrXbt2jUsvvXSX++yLxowZEy+99NI2a1dffXXUrVt3u73jxo2LTz75ZJu1L3zhC3HyySenvXeLFi3i5ptv3m79scce24PGVJY5c+akXW/Tpk3CTQCAmiaVSsWPjj0sY/7rV7Y/9RgAAAAA/pOBMwAAAKq1OSvXxT8nzk6b9WrdLE7t0zXhRgAAVe/zn/98vP7663HttdfGYYcdFrm5uRn3ZmVlxaGHHhp/+MMf4vHHH48uXbpERMTKlSvT7u/cuXPGexUXF8evfvWr7dZ/9atfRV5e3i6+in1PaWlp3HDDDdusHXbYYXHqqaem3f/6669v83Mqlcp4Etq/HXrooXH44Ydvs/baa6/tRlsqU35+fqxZsyZt1qNHj4TbAAA10Um9ukTv1s3SZq/MmBcfzV+WcCMAAAAA9ic5VV0AAAAAKtNtb42NsgzHm/3omMMiK8vpZgBAzVSrVq34yle+El/5yldi8+bNMXXq1Fi9enWsWbMmCgoKol69etG+ffvo169fNG3adLvrFy1alPa+3bt3z/jMLVu2xJIlS7ZZa9u2bYwdOzbGjh27y69h48aNadfuuuuu7dZr1apV6aeoPfzwwzF79v992UF2dnb8/Oc/z7h/0qRJ2/zcr1+/Cp1+ddJJJ8WYMWM++3ndunWxcOHC6Nix4260pjJ89NFHaddbtmwZzZs3T7gNAFATZWWl4ifHD4qv/uOltPkNr4yKF77xuUilvD8KAAAAwPYMnAEAAFBtLVizPh6fMDNt1q1FkzjzoAMTbgQAsG+qV69eDBo0aJeumTVrVtr1/v3779J9li5dGn/605926Zod2bBhQ9r7NWjQoFIHztasWRN33HHHNmtf+tKXdnia1X//M+zbt2+FnpVu38yZMw2c7UPefPPNtOu7+t8ZAMCeOK1v1zikQ6uYsCh/u+yDuUvizdkL49geB1RBMwAAAAD2dVlVXQAAAAAqyx/eGh+lZelPN/vBMYdGdpY/FgMA7K6JEydut9aiRYvo3Llz8mX2Abfeemts2LDhs5+bNm0a3/3udzPu37p1axQUFGyz1qFDhwo9K92+tWvXVrAplW3dunUZB86OPvrohNsAADVZKpWKX5x0RMb8hldGRVmG908BAAAAqNl8sg4AAIBqafG6jfHIuOlps87NGsW5/TOfNAEAwI5t2LAhJk+evN36scceWwVtqt7kyZPj6aef3mbtBz/4QTRs2DDjNf85nPZv9erVq9Dz6tevv93a+vXrK3Qtle9vf/tbbN26dbv1evXqxfDhw6ugEQBQkw3v1iGGH5j+iw0mLVkZz035JOFGAAAAAOwPDJwBAABQLd317sdRXFqWNvvBMYdGTrY/EgMA7K6XX345SkpKtls/7bTTqqBN1SovL48bbrghysv/72SIfv36xbnnnrvL90qlUnuzGlVg8eLF8eCDD6bNzjrrrLTDggAAle3nJw3JmN306odRkuF9VAAAAABqrpyqLgAAAAB727qCwvj7mGlpsw5NGsR5h/RMuBEAQPVRXl4eDz/88Hbr3bp1i8MOO2yH1zZs2DBmzZq117occ8wxsWTJkm3W2rVrF2+++eZee8bOPPXUU9uc9pZKpeIXv/jFTofHGjRosN3apk2bKvTMdPt2dJoaySgqKoof//jHUVBQsF1Wq1atuPTSS6ugFQBAxMCOreO0vl3jxalztss+XbUuHhk3Pb46qG8VNAMAAABgX+Xr3AEAAKh2HvhoamwuKk6bfW/EoZGbnZ1wIwCA6uP5559POzR28cUXV0GbqrVhw4a47bbbtln73Oc+FwcddNBOr61du3bUrl17m7VFixZV6Lnp9jVu3LhC11I5ioqK4qqrrorx48enzS+++OJo165dwq0AAP7PNScOjqwMX4rwu5FjorB4+xOMAQAAAKi5DJwBAABQrWwtKYm/vD8xbdaifp340qG9ki0EAFCNLFmyJG666abt1rt37x5nnXVW8oWq2O233x5r1qz57OcGDRrED3/4wwpf36NHj21+njJlSoWumzp16k7vRXKWLl0al1xySbzyyitp8969e8e3vvWthFsBAGyrZ6tmcd4hPdNmS9dvivtGT06bAQAAAFAzGTgDAACgWnnq49mRv7EgbXbZEQdH7dychBsBAFQP+fn5cdFFF8W6deu2WU+lUvHzn/88smvYKbKzZs2KRx99dJu173znO9GsWbMK3+O/T0KbOnVqLF26dKfXvfrqq9v83KhRo+jUqVOFn8vesWnTprjrrrvitNNOi7Fjx6bd06JFi/jTn/4UeXl5CbcDANjeT44fFLnZ6T8qdNub42JD4daEGwEAAACwrzJwBgAAQLVRVlYed747IW1WJzcnLh3SL+FGAAD7jqeffjomTZq0W9eOHTs2vvzlL8fChQu3yy655JI4/PDD97TefufGG2+MkpKSz37u3r17XHDBBbt0j+OOO26bn8vLy+Oee+7Z4TUTJkyIjz76aJu1Y489NlKp1C49m92zdu3aeOWVV+Lqq6+OYcOGxZ/+9KfYvHlz2r3NmjWLBx54IDp27JhwSwCA9Do2bRgX/z/27jvMroJOH/j3TsukTyoJCSlACmnUVAKhl9CVJr0oCigq4sq6qCjorthlBRtKFUHpNXQCISShpBFIAdIhvUzKJDNz7+8Pf7rL5tyQNmfa5/M8PJjznnPmxb+S3PueMyz570hXbqiIX774ZsqNAAAAAKirPNYdAACABuO5mfPivSUrE7NzB/eLts2bptwIAKDueOWVV+Lf//3fY8CAAXHcccfFUUcdFT179sx7fjabjbfeeivuu+++ePTRRxPPGTlyZFx99dU1VbnOeuKJJ2LixImfOHbddddFUdH2fewybNiw6NGjR8ydO/dfx+6///4YPnx4HH/88Vucv2LFivi3f/u3LY6fffbZ2/Vz+YeZM2fGLbfckjevrKyMioqKWL16dSxZsiQ++OCD+Oijj7bp3oMGDYqbb745OnXqtKvqAgDsEt84YnDcM2lGrN9cuUV2yytvx0XDBkS3Nq1qoRkAAAAAdYnBGQAAAA3GzS8nP4G3IJOJKw7ZL90yAAB11PTp02P69Onx05/+NNq2bRv9+vWLrl27RuvWrSOTycTKlStj2bJlMXXq1FixYkXe+xx44IHx61//ertHVvXdhg0b4qabbvrEsdGjR8fQoUN36H5XX311XHXVVf/6dS6Xi6uvvjrefPPNOPPMM6N79+5RXl4eY8eOjV/+8pexZMmST1x/5JFHxr777rtDP7uxmzFjRsyYMWOX3rNZs2Zx+eWXx8UXXxzFxcW79N4AALtCx5bN4ksj94ufvTBpi2xTVXV8/8nX4rZzj6uFZgAAAADUJY3rU2AAAAAarLcXLIlXP1iUmJ00YK/o2a4s3UIAAPXAypUr49VXX93u64499ti46aaborS0tAZa1W2//e1v4+OPP/7Xr5s1axbf+ta3dvh+xx57bBx//PHx1FNP/etYNpuNu+66K+66666tXltWVhbXX3/9Dv9sdp3WrVvH2WefHeeff3506NChtusAAGzVVYcdEHdOnB7L1m3cIntwyqz44sh9Y0j3zrXQDAAAAIC6wuAMAACABuG/x76dN/vyqANSbAIA0HC1bt06rrnmmjjzzDNru0qtmDdvXvz5z3/+xLEvfvGL0alTp526749//ONYt25dvPLKK9t8TZs2beL222+Pjh077tTPZse1b98+hg0bFscdd1wceuih0aRJk9quBACwTVqVNon/OHZ4fO2BFxLz6x57JcZceUZkMpmUmwEAAABQVxicAQAAUO/NX7k2Hpk2OzEb3nP3OKjbzn0BGACgITj66KNjyZIlMXny5Kiurt6ua9u1axdnnHFGXHLJJdG6desaalj3/fCHP4zNmzf/69fdu3ePSy65ZKfv26RJk7jlllvilltuidtuu+0TPyPJiBEj4vrrr4/u3bvv9M8mWVFRUZSUlERJSUmUlZVFu3btomPHjtGzZ8/Yc889Y8CAAdGzZ8/argkAsMPOG9wvfj9uSsz4eMUW2aT5H8dDU2bHZ/brXQvNAAAAAKgLMrlcLlfbJQCALW3cuDFmzJjxr1/369cvmjZtWouNAKDu+vdHx8ZvX52cmN1z4Ykxuv+e6RaiwfB7MgAaorVr18bbb78dkydPjlmzZsWCBQti2bJlsWHDhti8eXM0bdo0ysrKonv37rHPPvvEiBEjYujQoVFcXFzb1WvViy++GF/60pc+cex3v/tdHHbYYbv05yxatCieeOKJePnll2PhwoWxYsWKaNasWXTs2DEOPPDAOO6442L48OG79GfWB35fBgCw6704a3585o8PJ2Z7tGkZE685P0qLP/ksa78vAwCoG/y+DACoad5wBgAAQL22ekNF3DXxncSsV4c2cdw+3joAAPC/tWrVKkaNGhWjRo2q7Sr1yuGHHx4zZ86s8Z/TpUuXuOyyy+Kyyy6r8Z8FAEDjdnjvbnF03x7x7Htzt8gWrCqP3746Ob52+EHpFwMAAACg1hXUdgEAAADYGX96fVqs31yZmF156P5RUJBJuREAAAAAQP3wgxMOjsI8f4f68xcmxbJ1G1JuBAAAAEBdYHAGAABAvVVVnY3bxk9LzDq0aBpnHdA35UYAAAAAAPVH393axUVDByRm5Zsq4z+fmZByIwAAAADqAoMzAAAA6q0n3nk/Fq9Zl5h9YcS+UVpclHIjAAAAAID65dqjh0bL0pLE7I4J02Pa4mUpNwIAAACgthmcAQAAUG/9ftyUxONNigrj4mHJT+UFAAAAAOB/tG/RLK45YnBils3l4msPvBDV2WzKrQAAAACoTQZnAAAA1EvTP1oer324ODE7fb8+0b5Fs5QbAQAAAADUT5cdvG90b9sqMXtrwZL43avJD/8CAAAAoGEyOAMAAKBe+kOet5tFRFx28KAUmwAAAAAA1G+lxUXx/dEH581/OGZ8zFu5JsVGAAAAANQmgzMAAADqnZXrN8bf3p6ZmA3t0TkGdemYciMAAAAAgPrt5IF7xzF9eyRmGyqr4usPvBC5XC7dUgAAAADUCoMzAAAA6p27Js2IjZVVidllI/ZNuQ0AAAAAQP2XyWTiZ585PFqUFCfmL85eEH+bMjvlVgAAAADUBoMzAAAA6pXqbDZuGz81MevcqnmcNHCvlBsBAAAAADQMXctaxndHj8ibX//067GqYnOKjQAAAACoDQZnAAAA1CtPz/gwFqwqT8wuGT4wigsLU24EAAAAANBwXDpsUAzp3jkxW71xU9zy9ocpNwIAAAAgbQZnAAAA1Cu/f21K4vGSwoK4cOiAlNsAAAAAADQsBQWZ+NXpR0RJYfLXil6cvzxeX7wy5VYAAAAApMngDAAAgHrj3Y9XxNg5CxOz0/btHR1aNEu5EQAAAABAw9N3t3bxjSMG581/9cb7sb6yKsVGAAAAAKTJ4AwAAIB64w+vTc2bXXbwvik2AQAAAABo2L52+EHRd7e2idmyjZvj1rc/TLkRAAAAAGkxOAMAAKBeWLNxU9z35ruJ2UHddosD9tgt5UYAAAAAAA1XSVFh/Pr0IyOTSc6f/nBpPP3e3FQ7AQAAAJAOgzMAAADqhXsmzYgNlVWJ2RdGeLsZAAAAAMCuNrh757hsK3//+s1HX4ll6zak2AgAAACANBicAQAAUOdls7m4bfzUxGy3ls3i1EG9Um4EAAAAANA4XHfc8OjRtlVitmJ9RXztgRcil8ul3AoAAACAmmRwBgAAQJ330pz58cGKNYnZRUMHRElRYcqNAAAAAAAahxZNSuKWs46JTCY5f/KdD+LeN99NtxQAAAAANcrgDAAAgDrvT+OnJR4vKiiIi4YNTLkNAAAAAEDjMrzn7nHVqAPz5tc+8nLMX7k2xUYAAAAA1CSDMwAAAOq0havL46kZHyZmJw7YMzq1ap5yIwAAAACAxuffjxka/XZrm5iVb6qMK+5/NrLZXMqtAAAAAKgJBmcAAADUaXdOeCeyueQvKVzi7WYAAAAAAKloUlQUv/7MYVFckEnMx32wKG555e2UWwEAAABQEwzOAAAAqLMqq6vjzonTE7PeHdvEyL26ptwIAAAAAKDx6tepXVw0oFve/IanX4vpHy1PsREAAAAANcHgDAAAgDrriXc+iCXlGxKzS4YNjEwm+Um6AAAAAADUjNP7dImBHVolZpurs3HRXU/G2opNKbcCAAAAYFcyOAMAAKDOuu21qYnHmxUXxdkH7pNyGwAAAAAACgsy8c0hvaJpUfLXjt5fvjqu+tvzkcvlUm4GAAAAwK5icAYAAECdNHPJynj1g0WJ2en794nWTZuk3AgAAAAAgIiI3VuUxuX79cybPzJtTvz21cnpFQIAAABglzI4AwAAoE760+vT8maXDBuYYhMAAAAAAP6v4/fcLU7ol3909t0nxsWEuR+l2AgAAACAXcXgDAAAgDpn/ebKuPfNdxOzg7rtFvt27ZhyIwAAAAAA/rdMJhM/P+XQ2Kt9WWJelc3GJfc8GcvWbUi3GAAAAAA7zeAMAACAOufvb8+M8orNidmlwwel3AYAAAAAgCQtS0vi9vNHR2lRYWK+eM36uOzeMVGdzabcDAAAAICdYXAGAABAnZLL5eK28VMTszbNSuPUQb1SbgQAAAAAQD4DOrePn33m8Lz5S7MXxE3PTUyxEQAAAAA7y+AMAACAOuWN+R/HtMXLE7NzD+oXpcVFKTcCAAAAAGBrzjmoX1wwpH/e/CfPT4wx736YYiMAAAAAdobBGQAAAHXKn16flje7eNiAFJsAAAAAALCt/uuUUTFw9/aJWS4X8YW/PB0zl6xMuRUAAAAAO8LgDAAAgDpj9YaKeHjK7MTsyN7dYs/2ZekWAgAAAABgmzQtLoo7zh8drUpLEvPyTZVxzu2PxaoNFSk3AwAAAGB7GZwBAABQZ9z/9syoqKpOzC4ZPjDlNgAAAAAAbI+e7cri1rOOzpt/sGJNXHLPU1FVnU2xFQAAAADby+AMAACAOiGXy8XtE6YnZru3bh7H9O2ZciMAAAAAALbX6P57xdcPPyhv/tLsBXHd46+k2AgAAACA7WVwBgAAQJ3wxvyP492PVyRm5w3uH0WF/ggLAAAAAFAfXHfs8Dhun/wPEfvduClxZ54HkAEAAABQ+3xbDwAAgDrhjgnvJB7PZCLOHdwv5TYAAAAAAOyogoJM/O5zx0Tf3drmPeeah1+K8R8uTrEVAAAAANvK4AwAAIBat2bjpnhoyqzE7Mje3aNbm1YpNwIAAAAAYGe0Km0Sf7noxGjTrDQxr6zOxgV3PhHzV61NuRkAAAAAn8bgDAAAgFr398kzY0NlVWJ24dABKbcBAAAAAGBX6NmuLG4/7/goLMgk5svXb4xzb3881m+uTLkZAAAAAFtjcAYAAECtyuVycceE6YnZbi2bxbH79Ei3EAAAAAAAu8yhe+8R/3XyqLz59I+WxxX3PRPZbC7FVgAAAABsjcEZAAAAtWrywqUxbfHyxOzcwf2iuLAw5UYAAAAAAOxKlw4fGBcNHZA3f3Ta+/HT5yem2AgAAACArTE4AwAAoFble7tZRMT5g/un2AQAAAAAgJqQyWTix6eMihE9d897zn8+OyEenTYnxVYAAAAA5GNwBgAAQK0pr9gcD0yelZgd3muP6NGudcqNAAAAAACoCSVFhXHH+aOjW5tWec+5/K/PxLTFy1JsBQAAAEASgzMAAABqzYNTZsW6zZWJ2QVDB6TcBgAAAACAmtS+RbO456ITo3lJcWK+obIqzrn98Vi2bkPKzQAAAAD43wzOAAAAqDV3TJieeLx986Yxut+eKbcBAAAAAKCmDejcPn579jF584Wry+PCu56MzVXVKbYCAAAA4H8zOAMAAKBWTF20NN5euDQxO2dwvygpKky5EQAAAAAAaThxwF7x7WOG5c3Hf7g4/u3hlyKXy6XYCgAAAIB/MjgDAACgVtwx8Z282QWD+6fYBAAAAACAtF1z5OA4ddDeefM7Jr4Tf3htaoqNAAAAAPgngzMAAABSt35zZfzt7ZmJ2SF7dY29OpSlWwgAAAAAgFRlMpn47zOPjkG7d8h7zrcfGxsvz16QYisAAAAAIgzOAAAAqAUPT5kd5RWbE7MLhni7GQAAAABAY9C8pDjuvvDE6NCiaWJenc3FRXc/GR8sX51uMQAAAIBGzuAMAACA1N0xcXri8bbNSuPEAXul3AYAAAAAgNqyR5uWcecFJ0RxYfLXmFZv3BTn3P5YrK3YlHIzAAAAgMbL4AwAAIBUvfPR8pg07+PE7OwD+0ZpcVHKjQAAAAAAqE3DeuweP//M4XnzmUtXxRf+Miaqs9kUWwEAAAA0XgZnAAAApOrOie/kzS4YMiDFJgAAAAAA1BXnDe4fl4/cL2/+zHtz48Yx49MrBAAAANCIGZwBAACQmo2VVXHfW+8lZsN77h59dmubciMAAAAAAOqKH5wwMg7vtUfe/Jcvvhn35/k7ZgAAAAB2HYMzAAAAUvPI1NmxZuOmxOyCIf1TbgMAAAAAQF1SVFgQfzr3+NirfVnec77yt+diwtyP0isFAAAA0AgZnAEAAJCaOye+k3i8ddMmccqgXim3AQAAAACgrilrVhp/uejEaFlakphvrs7GeXc8HvNXrk25GQAAAEDjYXAGAABAKmYuWRnjP1ycmJ11QN9oWlyUciMAAAAAAOqi3h3bxm3nHBeZTHK+fP3GOOvPj8baik3pFgMAAABoJAzOAAAASMWdE6fnzS4Y0j/FJgAAAAAA1HVH9+0RPxg9Mm/+3pKVcek9T0dVdTbFVgAAAACNg8EZAAAANa6isir++uZ7idng7p2if+f2KTcCAAAAAKCuu/LQ/eP8wf3y5s/NnBfXPf5Kio0AAAAAGgeDMwAAAGrc49Pfj5UbKhKzC4cMSLkNAAAAAAD1QSaTiZ+edniM3LNL3nN+N25K/PG1qSm2AgAAAGj4DM4AAACocXdOfCfxeMvSkjh1314ptwEAAAAAoL4oKSqMOy84IfZqX5b3nGsffTlemDUvvVIAAAAADZzBGQAAADVqzrJV8cr7CxOzM/bvE81LilNuBAAAAABAfdKmWWn89eKToqxpk8S8OpuLS+55Oj5YvjrdYgAAAAANlMEZAAAANSrf280iIi4aOiDFJgAAAAAA1Fd7d2gTd5w/OooKkr/utGbjpjj3jsdj3abNKTcDAAAAaHgMzgAAAKgxm6uq49433k3M9u/aMQbu3iHlRgAAAAAA1FeH7r1H/Oy0w/Lm7y1ZGVfe/2zkcrnUOgEAAAA0RAZnAAAA1JgnZ3wQy9dvTMwu9HYzAAAAAAC20wVDB8SXD90/b/7otPfj5y++kWIjAAAAgIbH4AwAAIAac+eE6YnHW5QUx2f27Z1yGwAAAAAAGoLrRx8cR/Tuljf/4Zjx8cy7c9MrBAAAANDAGJwBAABQI+auWBMvzl6QmH12v97RsrQk5UYAAAAAADQEhQUF8cdzjosebVsl5rlcxBfufTreX7Y63WIAAAAADYTBGQAAADXirknv5M0uHDogxSYAAAAAADQ0bZqVxt0XnhjNiosS87UVm+O8Ox+P8orNKTcDAAAAqP8MzgAAANjlKqur455JMxKzgbu3j/26dky5EQAAAAAADU3/zu3jv888Km/+3pKVccX9z0Yul0uxFQAAAED9Z3AGAADALjfm3bmxpHxDYnbh0AGRyWRSbgQAAAAAQEN02r6946uHHZg3f3z6+/HfY99OsREAAABA/WdwBgAAwC53x4TpicebFRfF6fv1SbkNAAAAAAAN2XeOGx5H9u6WN//+U+Ni3AeLUmwEAAAAUL8ZnAEAALBLzV+1Np6fNS8xO23f3tG6aZOUGwEAAAAA0JAVFhTEH845Lnq0bZWYV2dzcek9T8WS8vUpNwMAAAConwzOAAAA2KXumTQjcrnk7MKh/dMtAwAAAABAo9CmWWncfeGJ0bS4KDFfUr4hLr3n6aiqzqbcDAAAAKD+MTgDAABgl6mqzsbdk95JzPbp1C4O6tYp5UYAAAAAADQW/Tu3j59/5vC8+bgPFsWNY8an2AgAAACgfjI4AwAAYJd5dubcWLxmfWJ20dABkclkUm4EAAAAAEBjcvaB+8TFwwbmzX/10pvx5Dvvp9gIAAAAoP4xOAMAAGCXuXNC8tvNSosK48z9+6TcBgAAAACAxug/Tz4k9u/aMW9++X3PxocrVqdXCAAAAKCeMTgDAABgl1i0ujyeeW9uYnbKoF5R1qw03UIAAAAAADRKTYqK4vbzRkdZ0yaJ+dqKzXHhXU/GpqqqlJsBAAAA1A8GZwAAAOwSf3nj3cjmconZhUMHpNwGAAAAAIDGrFvbVvH7zx0bmUxyPm3x8rjx6fHplgIAAACoJwzOAAAA2GnV2WzcOfGdxKxPxzYxrEfnlBsBAAAAANDYHd23R1xzxJC8+X+PfTtenr0gxUYAAAAA9YPBGQAAADvthVnzY+Hq8sTsgiEDIpPvEbIAAAAAAFCDvnX0kDi81x558yvufyZWbahIsREAAABA3WdwBgAAwE67fcL0xOMlhQVx1oF9U24DAAAAAAD/UFhQEL//3LHRsUWzxHzxmvVx9YMvRC6XS7kZAAAAQN1lcAYAAMBOWbxmXYx598PE7KSBe0e75k1TbgQAAAAAAP+jfYtm8d9nHpU3f3jqnLjvrfdSbAQAAABQtxmcAQAAsFPumTQjqrPJT369eOiAlNsAAAAAAMCWju7bI74wYlDe/N8efinmrVyTYiMAAACAusvgDAAAgB1Wnc3GHROnJ2a9OrSJEXt2SbkRAAAAAAAk+/4JI6NPxzaJWfmmyrjs3meiqjqbcisAAACAusfgDAAAgB32/Mz5sWj1usTswqH9I5PJpNwIAAAAAACSNS0uij+cc1wUFyZ/ZWrivI/iFy++kXIrAAAAgLrH4AwAAIAddvuEaYnHSwoL4nMH7pNyGwAAAAAA2LqBu3eI644dnjf/8XMTYsrCpSk2AgAAAKh7DM4AAADYIYvXrIsx785NzE4e2CvaNm+abiEAAAAAANgGXz70gDhkr66JWXU2F1/5+3NRWV2dcisAAACAusPgDAAAgB1y98R3IpvLJWYXDRuQchsAAAAAANg2BQWZuOWso6N10yaJ+bTFy+NXL72VcisAAACAusPgDAAAgO1Wnc3GnZPeScx6d2wTI3runnIjAAAAAADYdl3LWsbPTjs8b/6T5ybEe0tWpNgIAAAAoO4wOAMAAGC7PTdzXixavS4xu3DIgMhkMik3AgAAAACA7fOZfXvFiQP2Ssw2V2fjqr89H9XZbMqtAAAAAGqfwRkAAADb7fbXpyceb1JUGGcf2DflNgAAAAAAsP0ymUz85NTDonXTJon5pPkfx+/HTUm5FQAAAEDtMzgDAABguyxaXR7PvDc3MTt54N7RtnnTdAsBAAAAAMAO6tSqefzopEPy5jc+PT7mrliTYiMAAACA2mdwBgAAwHa5e9KMyOZyidlFwwak3AYAAAAAAHbO5w7cJ47s3S0x21BZFV994PnI5fl7cQAAAICGyOAMAACAbVZVnY07J76TmPXp2CaG99g95UYAAAAAALBzMplM/PyzR0SLkuLEfOychXn/bhwAAACgITI4AwAAYJs9N3NeLF6zLjG7cOiAyGQyKTcCAAAAAICd161Nq/ju6BF58+888Wrevx8HAAAAaGgMzgAAANhmt0+Ylni8SVFhnH3gPim3AQAAAACAXefSYYNieM/dE7Pyis3xncdfTbkRAAAAQO0wOAMAAGCbLFxdHs++Ny8xO2XQ3tGmWWnKjQAAAAAAYNcpKMjEr08/MkqLChPzB6fMilfmLEi5FQAAAED6DM4AAADYJndPfCeyuVxidtHQgSm3AQAAAACAXW/vDm3i2mOG5c3/7ZGXo7K6OsVGAAAAAOkzOAMAAOBTVVVn465JMxKzPh3bxLAenVNuBAAAAAAANePKQ/aPfTq1S8zeW7IyfvfqlJQbAQAAAKTL4AwAAIBP9ezMubF4zbrE7KJhAyOTyaTcCAAAAAAAakZRYUH85NTD8uY/fnZCfJTn78wBAAAAGgKDMwAAAD7V7a9PTzzepKgwzjqgb8ptAAAAAACgZh28Z5c4Y/8+idm6zZXx3SfGpdwIAAAAID0GZwAAAGzVglXl8dzMeYnZqYN6RZtmpSk3AgAAAACAmveDE0ZGyybFidnfJ8+Mce8vTLkRAAAAQDoMzgAAANiquye9E9lcLjG7aNiAlNsAAAAAAEA6OrVqHt86emje/JqHX4rK6uoUGwEAAACkw+AMAACAvKqqs3H3pHcSs767tY2h3Tun3AgAAAAAANJz2cH7Rt/d2iZm7y1ZGX8YNzXlRgAAAAA1z+AMAACAvJ55b24sXrM+Mbto6IDIZDIpNwIAAAAAgPQUFxbGT049LG/+X8++Hh+vTf57dAAAAID6yuAMAACAvG6fMD3xeGlRYZx1QN+U2wAAAAAAQPpG7tU1PrNv78SsfFNl/HDM+JQbAQAAANQsgzMAAAASLVhVHs/NnJuYnbpvryhrVppuIQAAAAAAqCU3nDgyWpQUJ2b3vDEjpi1elnIjAAAAgJpjcAYAAECiuya+E7lccnbR0IHplgEAAAAAgFq0e+sW8c2jhiRmuVzEdY+/Erl8f6kOAAAAUM8YnAEAALCFqups3D3pncSs725tY0j3Tik3AgAAAACA2vWlkfvFnu1aJ2Zj5yyMMe/OTbcQAAAAQA0xOAMAAGALY979MD5auz4xu3jYwMhkMik3AgAAAACA2lVSVBg/OGFk3vy7T7waldXVKTYCAAAAqBkGZwAAAGzhtvFTE4+XFhXGmfv3SbkNAAAAAADUDaP77xkH79klMZu9bFX8+fXpKTcCAAAA2PUMzgAAAPiEOctWxYuzFyRmp+3bO8qalabcCAAAAAAA6oZMJhM/PPGQyGSS8x8/OyHWbNyUbikAAACAXczgDAAAgE/40/hpebNLhw9MsQkAAAAAANQ9+3btGGcd0DcxW7mhIn76/KSUGwEAAADsWgZnAAAA/Mv6zZVxzxszErP9unSMA/bYLeVGAAAAAABQ91x37PBoWlyUmP1+3OT4cMXqdAsBAAAA7EIGZwAAAPzLg5NnxdqKzYnZ50cMikwmk3IjAAAAAACoe7qUtYyvjDogMdtcnY3vP/layo0AAAAAdh2DMwAAACIiIpfLxR9fm5qYlTVtEqft2yvlRgAAAAAAUHd9ZdQB0all88TskWlzYvyHi1NuBAAAALBrGJwBAAAQERFvzP84pi5elpide1C/aFZSnHIjAAAAAACou1o0KYnrjhueN//O469ENptLsREAAADArmFwBgAAQERE3DZ+Wt7s4mEDU2wCAAAAAAD1w9kH9o0BndsnZm8uWBIPTJmVciMAAACAnWdwBgAAQKxYvzEeyvOh95G9u8VeHcrSLQQAAAAAAPVAYUFB3HjiIXnz7z81LjZWVqXYCAAAAGDnGZwBAAAQd018JzZXZxOzS4YPSrkNAAAAAADUH6N67RHH7dMzMVu0el3c8srbKTcCAAAA2DkGZwAAAI1cdTYbf359emLWtaxlHLtPj3QLAQAAAABAPfODE0ZGUUHyV7F++cIbsbR8Q8qNAAAAAHacwRkAAEAj99zMeTF/1drE7KJhA6IwzwfkAAAAAADAP/Tq2CYuHjYgMVu3uTJ+9MzrKTcCAAAA2HG+NQgAANDI/fG1qYnHiwsL4oIh/VNuAwAAAAAA9dO3jh4arUpLErO7Jr4T73y0POVGAAAAADvG4AwAAKARm7tiTTw/a15idsrAXtGhRbOUGwEAAAAAQP3UrnnT+OaRQxKzbC4X333i1ZQbAQAAAOwYgzMAAIBG7LbxUyOXS84uHTEw3TIAAAAAAFDPfeHgQdGjbavE7IVZ8+O5mXPTLQQAAACwAwzOAAAAGqn1myvjrkkzErP+ndvH0O6dU24EAAAAAAD1W5Oiovj+CSPz5t95/NWoqs6m2AgAAABg+xmcAQAANFJ/e2tmrNm4KTH7/PBBkclkUm4EAAAAAAD130kD9ophPXZPzN5bsjLunPhOyo0AAAAAto/BGQAAQCOUy+Xi969NScxaN20SZxzQJ+VGAAAAAADQMGQymbjxxPxvOfvPZ16PtRXJD4QDAAAAqAsMzgAAABqhcR8sinc/XpGYnT+4XzQvKU65EQAAAAAANBwHdusUZ+yf/HC35es3xi9efCPlRgAAAADbzuAMAACgEfr9uOS3m2UyEZcOH5RyGwAAAAAAaHi+c9yIKC0qTMxufWVyzF+5NuVGAAAAANvG4AwAAKCRWbCqPJ5454PE7Ni+PaNHu9YpNwIAAAAAgIZnjzYt44pD90/MNlVVx/efei3lRgAAAADbxuAMAACgkfnT61Mjm8slZpcdvG/KbQAAAAAAoOH62mEHRYcWTROzB6fMiknzPkq5EQAAAMCnMzgDAABoRDZWVsWdE95JzHp3bBOH9doj5UYAAAAAANBwtSwtif84dnje/D8efyVyeR4SBwAAAFBbDM4AAAAakQcmz4yVGyoSs8+PGBSZTCblRgAAAAAA0LCdN7hf9OvULjGbNO/jeHjq7JQbAQAAAGydwRkAAEAjkcvl4vfjpiRmLUtL4uwD9km5EQAAAAAANHyFBQVxw4kj8+bXP/laVFRWpdgIAAAAYOsMzgAAABqJ1+d+FNMWL0/Mzj2oX7QsLUm5EQAAAAAANA5H9O4eR/XpnpjNX7U2fpfngXEAAAAAtcHgDAAAoJH4w1Y+rP788EEpNgEAAAAAgMbnhhNHRmFBJjH72QuTYvm6DSk3AgAAAEhmcAYAANAILF6zLh6dPicxO6pP99irQ1m6hQAAAAAAoJHpu1u7uHDogMSsvGJz/NezE1JuBAAAAJDM4AwAAKAR+NP4aVGdzSVmlx28b8ptAAAAAACgcbr26KHRsrQkMbtjwjvx/rLV6RYCAAAASGBwBgAA0MBt2FwZf3p9WmK2V/uyOLJ395QbAQAAAABA49ShRbO4+vCDErOqbDZ+OGZ8yo0AAAAAtmRwBgAA0MDd99Z7sWpDRWL2+RGDoqAgk3IjAAAAAABovL40cr/Yo03LxOyhqbPj7QVLUm4EAAAA8EkGZwAAAA1YNpuLW1+ZnJi1LC2Jcw/ql24hAAAAAABo5EqLi+LbxwzLm1//1LjI5XIpNgIAAAD4JIMzAACABuy5mfNi9rJVidmFQ/pHy9KSlBsBAAAAAABn7N8n+ndun5iNnbMwXpw9P+VGAAAAAP/D4AwAAKABu+WVtxOPF2Qy8YWD9025DQAAAAAAEBFRWFAQ3zt+RN78+ifHRTbrLWcAAABA7TA4AwAAaKCmf7Q8Xp6zIDE7ZeDe0a1Nq5QbAQAAAAAA/3RUn+5x8J5dErNpi5fHA1NmpdwIAAAA4B8MzgAAABqoW/O83Swi4vJD9kuvCAAAAAAAsIVMJhPXjz44b/7DMeNjc1V1io0AAAAA/sHgDAAAoAFaUr4+/v72zMRscLdOMbh755QbAQAAAAAA/9dB3TrFyQP3SszmrVwbt0+YnnIjAAAAAIMzAACABum216bF5upsYnbFofun3AYAAAAAAMjnumNHRGFBJjG76bkJsbZiU8qNAAAAgMbO4AwAAKCB2VhZFX96fWpitkeblnFi/+QnpQIAAAAAAOnr1bFNnD+4f2K2Yn1F/Gbs2yk3AgAAABo7gzMAAIAG5v633osV6ysSsy8evG8UFfqjIAAAAAAA1CX/dtSQaFpclJj9ZuzbsaR8fcqNAAAAgMbMtwwBAAAakFwuF7e+kvyk0xYlxXFeniekAgAAAAAAtadz6xZx+SH7JWbrN1fGT56bmG4hAAAAoFEzOAMAAGhAnp81L2YuXZWYnT+kf7Ru2iTlRgAAAAAAwLa4atSB0aZZaWJ2x4R34oPlq9MtBAAAADRaBmcAAAANyM0vv5V4vCCTiS+O3DflNgAAAAAAwLZq3bRJXHPE4MSsKpuNG8eMT7kRAAAA0FgZnAEAADQQby9YEmPnLEzMThywZ3Rv2zrlRgAAAAAAwPa4dMTA2KNNy8TsoSmz4+0FS1JuBAAAADRGBmcAAAANxK9eejNvdsUhB6TYBAAAAAAA2BFNiori28cMy5tf/9S4yOVyKTYCAAAAGiODMwAAgAbg/WWr49HpcxKzYT12j6E9OqfcCAAAAAAA2BFn7N8n+nVql5iNnbMwXpw9P+VGAAAAQGNjcAYAANAA3Dz2rcj3QNOvHnZgumUAAAAAAIAdVlhQEN87/uC8+feffC2yWW85AwAAAGqOwRkAAEA99/Ha9XHvGzMSs767tY1j+vZItxAAAAAAALBTju7bPQ7es0tiNnXxsnhwyqyUGwEAAACNicEZAABAPffbVyfH5upsYvbVww6MgoJMyo0AAAAAAICdkclk4vrR+d9yduOY8bG5qjrFRgAAAEBjYnAGAABQj63ZuCn+9Pq0xKxLWYv47H69U24EAAAAAADsCgd16xQnD9wrMZu3cm3cPmF6yo0AAACAxsLgDAAAoB67fcL0KK/YnJhdecj+UVxYmHIjAAAAAABgV7nu2BFRWJBJzH7y3MS8nxEAAAAA7AyDMwAAgHpqU1VV/PaVyYlZWdMmcf6Q/ukWAgAAAAAAdqleHdvEeYOT/75/+fqN8Zuxb6XcCAAAAGgMDM4AAADqqfvefC8+Ll+fmH1hxL7RoklJyo0AAAAAAIBd7VtHDYmmxUWJ2X+PfTuWlm9IuREAAADQ0BmcAQAA1EPV2Wzc/HLyU0ubFhfFZQcPSrkRAAAAAABQEzq3bhGXH7JfYrZ+c2X85PmJ6RYCAAAAGjyDMwAAgHroyXc+iDnLVydm5w7uF+1bNEu3EAAAAAAAUGOuGnVgtGlWmpjd/vr0+CDPZwYAAAAAO8LgDAAAoJ7J5XLx8xfeSMwKCzLx5UP3T7kRAAAAAABQk1o3bRLfOOKgxKwqm40bx4xPuREAAADQkBmcAQAA1DPPzZwXkxctTcxOHdQrurdtnXIjAAAAAACgpl06fFB0LWuZmD00ZXZMXpj82QEAAADA9jI4AwAAqEdyuVz85PmJefOvHnZgim0AAAAAAIC0lBYXxX8cOyxv/v2nxqXYBgAAAGjIDM4AAADqkbFzFsakeR8nZsft0zMG7t4h5UYAAAAAAEBazti/T/Tr1C4xe2n2gnhx1vyUGwEAAAANkcEZAABAPfLTrbzd7JojB6fYBAAAAAAASFthQUF87/iD8+bXPzkustlcio0AAACAhsjgDAAAoJ4Y/+HiePWDRYnZEb27xYHdOqXcCAAAAAAASNvRfbvHiJ67J2ZTFy+LB6fMSrkRAAAA0NAYnAEAANQTW3+72ZAUmwAAAAAAALUlk8nE9aPzv+XsxjHjY1NVVYqNAAAAgIbG4AwAAKAeeHP+x/HCrPmJ2cg9u8TwPE8yBQAAAAAAGp7B3TvHSQP2SszmrVwbfxg3NeVGAAAAQENicAYAAFAP/PT5SXkzbzcDAAAAAIDG5zvHjYjCgkxi9pPnJ8aK9RtTbgQAAAA0FAZnAAAAddy0xcvi6Xc/TMwGd+8Uh+7dNeVGAAAAAABAbevVsU2cN7h/Yra2YnP8+NkJKTcCAAAAGgqDMwAAgDrup89PzJt988ghkckkP70UAAAAAABo2L59zLBoUVKcmP3p9Wkxa+nKlBsBAAAADYHBGQAAQB327scr4tFp7ydm+3ftGEf16Z5yIwAAAAAAoK7o2LJZfP2IgxKz6mwuvvvEqyk3AgAAABoCgzMAAIA67CdbebvZNUcO9nYzAAAAAABo5C4/ZP/oWtYyMRvz7tx4afb8lBsBAAAA9Z3BGQAAQB01ddHSeGjK7MSsX6d2cdw+e6bcCAAAAAAAqGuaFhfF944fkTf/j8deiepsNsVGAAAAQH1ncAYAAFBH/eDp8Xmza44cHAUF3m4GAAAAAABEfHa/3nFQt90Ssxkfr4h7Js1IuREAAABQnxmcAQAA1EGvvr8wnp85LzHbp1O7OHng3ik3AgAAAAAA6qpMJhM/POnQvPkPx7we5RWbU2wEAAAA1GcGZwAAAHVMLpeLHzz1Wt78O8cNj8ICf5wDAAAAAAD+x5DuneO0fXslZkvXbYhfvfRmyo0AAACA+so3FAEAAOqYp2Z8EJPmf5yYDeneOY7bp2fKjQAAAAAAgPrg+uMPjiZFhYnZb8a+FfNXrk25EQAAAFAfGZwBAADUIdXZbNzw9Pi8+fdGj4hMJpNiIwAAAAAAoL7o1rZVfGnkfolZRVV1fOeJV9ItBAAAANRLBmcAAAB1yP1vzYz3lqxMzI7u2yNG9OySciMAAAAAAKA++frhB0X75k0Ts0envR8vz16QciMAAACgvjE4AwAAqCM2VVXFj555PW/+neOGp9gGAAAAAACoj1o3bRLfPnZY3vzaR1+OyurqFBsBAAAA9Y3BGQAAQB3x59enx8LV5YnZ6fv1iYG7d0i5EQAAAAAAUB9dMKR/DMrzucJ7S1bGbeOnpdwIAAAAqE8MzgAAAOqA8orN8dPnJyZmRQUF8e1jh6bcCAAAAAAAqK8KCwrix6eOypv/5zOvx7J1G1JsBAAAANQnBmcAAAB1wG/GvhUr1lckZhcO7R8925WlWwgAAAAAAKjXhvXYPc7Yv09itrZic9zw1GspNwIAAADqC4MzAACAWrZ4zbq4+eW3ErNmxUVxzZFDUm4EAAAAAAA0BNePPjialxQnZne/MSPeWrAk5UYAAABAfWBwBgAAUMtufHp8bKisSsy+dMh+0alV85QbAQAAAAAADcHurVvENUcOTsxyuYhvPfJSZLO5lFsBAAAAdZ3BGQAAQC2avHBp3Pvmu4lZWdMmcdWoA1NuBAAAAAAANCSXH7Jf7NmudWL2xvwlcd9b76XcCAAAAKjrDM4AAABqSS6Xi28/NjZvfu3RQ6N10yYpNgIAAAAAABqaJkVF8aOTD82bX//kuFizcVOKjQAAAIC6zuAMAACgljw6bU6M/3BxYtarQ5u4ZPjAlBsBAAAAAAAN0bH79Ixj+vZIzJau2xD/9eyEdAsBAAAAdZrBGQAAQC2oqKyK7z05Lm/+gxNGRnFhYYqNAAAAAACAhuxHJx0axYXJXxf7/bgpMW3xspQbAQAAAHWVwRkAAEAt+N24KTFv5drE7PBee8Sx+/RItxAAAAAAANCg7dWhLK44ZP/ELJvLxTcffimy2VzKrQAAAIC6yOAMAAAgZcvWbYifPT8xMSvIZOLGkw6NTCaTcisAAAAAAKChu+bIwbF76xaJ2YS5H8V9b72XciMAAACgLjI4AwAASNmPxrwe5ZsqE7MLhvSPfp3apdwIAAAAAABoDFo0KYkfnXRI3vy7T7waazZuSrERAAAAUBcZnAEAAKTonY+Wx50T30nMWpaWxLePHZZyIwAAAAAAoDE5eeDecUTvbonZ8vUb48Yx41NuBAAAANQ1BmcAAAApyeVy8e3HxkY2l0vMv3HE4OjQolnKrQAAAAAAgMYkk8nEj08ZFSWFyV8d+9P4aTFl4dKUWwEAAAB1icEZAABASh6YPCvGzlmYmHVv2yq+NHLflBsBAAAAAACN0d4d2sRXRh2YmGVzubjm4Rcjm01+gB4AAADQ8BmcAQAApGDNxk1x3eOv5M1/cMLIaFJUlGIjAAAAAACgMbv6iINijzYtE7M35i+Je96YkXIjAAAAoK4wOAMAAEjBfz7zeiwp35CYjei5e5w0YK+UGwEAAAAAAI1Zs5Li+K+TD82bX//kuFi5fmOKjQAAAIC6wuAMAACghk1ZuDT+8NrUxKyooCB+etrhkclkUm4FAAAAAAA0dsf32zOO7tsjMVu5oSL+4/FX0i0EAAAA1AkGZwAAADUom83FNx56MbK5XGJ+xaH7xz6d2qXcCgAAAAAAICKTycSPTzk0mhQVJuZ/ffO9eGHWvJRbAQAAALXN4AwAAKAG3TFxery5YEli1qWsRXzzyMEpNwIAAAAAAPgfPduVxdcOOzBv/vUHXoz1mytTbAQAAADUNoMzAACAGrJs3Yb4wVOv5c1/fPKoaNGkJMVGAAAAAAAAW/ra4QdFrw5tErP5q9bGj8aMT7kRAAAAUJsMzgAAAGrI954YF6s3bkrMjunbI0b33zPlRgAAAAAAAFsqLS6KX55+RN78t69OiTfnf5xiIwAAAKA2GZwBAADUgHEfLIp733w3MSstKoybTh0VmUwm5VYAAAAAAADJRvTsEhcPG5iYZXO5uOrvz0dldXXKrQAAAIDaYHAGAACwi22srIqrH3whb/6NI4dE97atU2wEAAAAAADw6b53/Ijo3Kp5Yjbj4xXx65ffSrkRAAAAUBsMzgAAAHaxG556LWYtXZWY9erQJr4yav+UGwEAAAAAAHy61k2bxE9POzxv/pPnJsbsPJ+BAAAAAA2HwRkAAMAu9MqcBXHrq5Pz5j859bBoUlSUXiEAAAAAAIDtMLr/nnHqoL0Ts01V1fHVB56PbDaXcisAAAAgTQZnAAAAu8iajZviivufy5ufvl+fGNVrjxQbAQAAAAAAbL//OmVUlDVtkpiN/3Bx/HH81JQbAQAAAGkyOAMAANhF/v3RsbFwdXli1qll87jp1FEpNwIAAAAAANh+u7VsHjeeeEje/Ponx8WcZatSbAQAAACkyeAMAABgF3h8+vtx75vv5s1vPvPIaNOsNMVGAAAAAAAAO+6cg/aJQ/fumphtrKyKK+57Nqqz2ZRbAQAAAGkwOAMAANhJy9ZtiK8/8ELe/OJhA+OoPj3SKwQAAAAAALCTMplM/PKzR0Sz4qLEfNL8j+PXL7+VcisAAAAgDQZnAAAAOyGXy8XXHnghlq/fmJj3bNc6bjhxZMqtAAAAAAAAdl7PdmXx/RPyf87xn8+8HtM/Wp5iIwAAACANBmcAAAA74S9vvBtPvvNBYlaQycStZx0TzUuKU24FAAAAAACwa1wybGAc1muPxKyyOhuX//WZ2FxVnXIrAAAAoCYZnAEAAOygmUtWxrceeTlv/tXDDoyhPTqn2AgAAAAAAGDXKijIxM1nHBUtS0sS8+kfLY+bnpuYcisAAACgJhmcAQAA7ID1myvjorufjPWbKxPzAZ3bx7VHD025FQAAAAAAwK7Xtaxl/PjkUXnzX7z4Rrwx/+MUGwEAAAA1yeAMAABgO+VyufjGgy/Ge0tWJuYlhQXx27OPiZKiwpSbAQAAAAAA1IyzD+wbo/vvmZhlc7m44r5nY0OeB/UBAAAA9YvBGQAAwHa6c+I7cd9b7+XNrztuRPTv3D7FRgAAAAAAADUrk8nELz5zRLRtVpqYz162Kv7jsVdSbgUAAADUBIMzAACA7TBt8bL41iMv582P3adHXHnI/ik2AgAAAAAASEfHls3i5585PG9++4Tp8fDU2Sk2AgAAAGqCwRkAAMA2WrNxU1x415Oxqao6Md+jTcu49axjoqAgk3IzAAAAAACAdJwyqFecvl+fvPlVf38+5q1ck2IjAAAAYFczOAMAANgGuVwuvvK35+LDFckfkBYXFsSfzz0+2jQrTbkZAAAAAABAum46dVTs3rp5YlZesTkuvefp2JznAX4AAABA3WdwBgAAsA1+++rkeGz6+3nzG088JA7s1inFRgAAAAAAALWjTbPS+P3njouCTCYxf3PBkrjh6fEptwIAAAB2FYMzAACAT/Hq+wvjO0+8mjc/bVCv+MKIQSk2AgAAAAAAqF0H79klvnXUkLz5f499K559b256hQAAAIBdxuAMAABgK+avWhsX3f1kVGdzifne7cviV6cfGZk8T/AEAAAAAABoqL5x5OA4ZK+uefPL73smPlqzLsVGAAAAwK5gcAYAAJDHhs2Vcf4dT8SK9RWJeWlRYdx+/uhoWVqScjMAAAAAAIDaV1hQEL87+5ho37xpYr5ifUV88a/PRHU2m3IzAAAAYGcYnAEAACTI5XJx1d+fj6mLl+U952efOTz6d26fYisAAAAAAIC6pXPrFnHLWUfnzV95f2H8/IU3UmwEAAAA7CyDMwAAgAQ3v/xWPDB5Vt788yMGxTkH9UuxEQAAAAAAQN10dN8e8eVDD8ib/9ezE2LcB4tSbAQAAADsDIMzAACA/+P5mfPi+0+9ljcf0XP3+NFJh6TYCAAAAAAAoG77znHD48A9dkvMsrlcXHbv07Fi/caUWwEAAAA7wuAMAADgf/lg+eq49C9PRzaXS8y7lLWI288fHcWFhSk3AwAAAAAAqLtKigrjtnOPi5alJYn54jXr48r7n41cns9gAAAAgLrD4AwAAOD/W7l+Y5xz+2OxZuOmxLy0qDDuueDE6NCiWcrNAAAAAAAA6r7ubVvHr08/Mm8+5t258dtXJ6dXCAAAANghBmcAAAARsW7T5jjrz4/GzKWr8p7z6zOOin27dkyxFQAAAAAAQP1y6qBecdHQAXnz7z05Lt5esCTFRgAAAMD2MjgDAAAavU1VVXHBnU/EG/Pzf7j55UMPiDP275NiKwAAAAAAgPrpRycfGv06tUvMKquzcelfno61FZtSbgUAAABsK4MzAACgUavOZuNLf30mXpy9IO85h/faI753/IgUWwEAAAAAANRfTYuL4k/nHh/NiosS8w9XrImrH3wxcrlcys0AAACAbWFwBgAANFq5XC6+8dBL8fDUOXnP6d2xTdx27vFRVOiPTwAAAAAAANuqz25t48enjsqbPzB5Vvz59ekpNgIAAAC2lW9MAgAAjdaNY8bHHRPyf5DZtaxlPPj5U6NNs9IUWwEAAAAAADQM5x7UL07fr0/e/FuPvByvvr8wxUYAAADAtjA4AwAAGqXfjH0rfv7CG3nz9s2bxoOfPzW6lLVMsRUAAAAAAEDDkclk4uefOTz2bNc6Ma/KZuPCu56MuSvWpNwMAAAA2BqDMwAAoNH57auT47rHX82bt2xSHH+79JTo1bFNiq0AAAAAAAAanpalJfGnc4+P4sLkr6qt3FAR59zxeJRXbE65GQA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      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names='~ta', filter_vars=\"like\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "918d07a9",
   "metadata": {},
   "source": [
    "If `“regex”`, interpret `var_names` as regular expressions on the real variables names.\n",
    "The regular expression `u$` matches the letter \"u\" at the end of the line\n",
    "(end of the variable name in this case). So it will match `mu` and `tau`\n",
    "variables:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "33264c6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 7935x1725 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=\"u$\", filter_vars=\"regex\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c647923",
   "metadata": {},
   "source": [
    "Again, like with `filter_vars=\"like\"`, a list of regular expressions can\n",
    "also be provided as well as negative conditions with `~`.\n",
    "\n",
    ":::{note}\n",
    "When providing a list of regular expressions and substring matches,\n",
    "they are expanded independently.\n",
    ":::\n",
    "\n",
    "(common_coords)=\n",
    "## `coords`\n",
    "Dictionary mapping dimensions to selected coordinates to be plotted.\n",
    "Dimensions without a mapping specified will include the data corresponding\n",
    "to all coordinate values for that dimension.\n",
    "It defaults to including all coordinates for all dimensions.\n",
    "\n",
    "Using coords argument to plot only a subset of data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6a54b719",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 11902.5x1725 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coords = {\"school\": [\"Choate\", \"Phillips Exeter\"]};\n",
    "az.plot_posterior(centered_eight, var_names=[\"mu\", \"theta\"], coords=coords);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c6d9506",
   "metadata": {},
   "source": [
    "(common_combined)=\n",
    "## `combined`\n",
    "\n",
    "Flag for combining multiple chains into a single chain.\n",
    "When `True`, chains are combined into a single plot/line,\n",
    "when `False` each chain is plotted independently\n",
    "(either beside each other or each in their own subplot).\n",
    "While the behaviour of the parameter is the same in all plots,\n",
    "its default depends on the plotting function.\n",
    "\n",
    "Plot each chain separately:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3f8cfcb2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1740 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_forest(centered_eight, var_names=[\"mu\", \"tau\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5fb0efe",
   "metadata": {},
   "source": [
    "Plot all chains collapsed into a single line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2925f0c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_forest(centered_eight, var_names=[\"mu\", \"tau\"], combined=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d74fe480",
   "metadata": {},
   "source": [
    "(common_combine_dims)=\n",
    "## `combine_dims`\n",
    "Set like argument containing dimensions to reduce for plots that represent probability\n",
    "distributions. When used, the dimensions on `combine_dims` are added to `chain` and\n",
    "`draw` dimensions and reduced to generate a single KDE/histogram/dot plot from >2D\n",
    "arrays.\n",
    "\n",
    "`combine_dims` dims can be used to generate the KDE of the distribution of `theta`\n",
    "when combining all schools together."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "844712e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 7935x1725 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=[\"mu\", \"theta\"], combine_dims={\"school\"});"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b1397d9",
   "metadata": {},
   "source": [
    ":::{warning}\n",
    "`plot_pair` also supports `combine_dims` argument, but it's the users responsibility\n",
    "to ensure the variables to be plotted have compatible dimensions when reducing\n",
    "them pairwise.\n",
    ":::\n",
    "\n",
    "Both `theta` and `theta_t` have the `school` dimension, so we can use `combine_dims`\n",
    "in `plot_pair` to generate their global 2d KDE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "8a94465f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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ORK5CYII=\n",
      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_pair(\n",
    "    non_centered_eight, var_names=[\"theta\", \"theta_t\"], combine_dims={\"school\"}, kind=\"kde\"\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efbcd6f4",
   "metadata": {},
   "source": [
    "`mu` however does not, so trying to plot their combined distribution errors out:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f60a4a08",
   "metadata": {
    "tags": [
     "raises-exception",
     "hide-output"
    ]
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "x and y must be the same size",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "Cell \u001b[0;32mIn [17], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43maz\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot_pair\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnon_centered_eight\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mvar_names\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mtheta\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mmu\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcombine_dims\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m{\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mschool\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m}\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/checkouts/readthedocs.org/user_builds/arviz/envs/v0.13.0/lib/python3.8/site-packages/arviz/plots/pairplot.py:272\u001b[0m, in \u001b[0;36mplot_pair\u001b[0;34m(data, group, var_names, filter_vars, combine_dims, coords, marginals, figsize, textsize, kind, gridsize, divergences, colorbar, labeller, ax, divergences_kwargs, scatter_kwargs, kde_kwargs, hexbin_kwargs, backend, backend_kwargs, marginal_kwargs, point_estimate, point_estimate_kwargs, point_estimate_marker_kwargs, reference_values, reference_values_kwargs, show)\u001b[0m\n\u001b[1;32m    270\u001b[0m \u001b[38;5;66;03m# TODO: Add backend kwargs\u001b[39;00m\n\u001b[1;32m    271\u001b[0m plot \u001b[38;5;241m=\u001b[39m get_plotting_function(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mplot_pair\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mpairplot\u001b[39m\u001b[38;5;124m\"\u001b[39m, backend)\n\u001b[0;32m--> 272\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[43mplot\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mpairplot_kwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    273\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m ax\n",
      "File \u001b[0;32m~/checkouts/readthedocs.org/user_builds/arviz/envs/v0.13.0/lib/python3.8/site-packages/arviz/plots/backends/matplotlib/pairplot.py:176\u001b[0m, in \u001b[0;36mplot_pair\u001b[0;34m(ax, plotters, numvars, figsize, textsize, kind, scatter_kwargs, kde_kwargs, hexbin_kwargs, gridsize, colorbar, divergences, diverging_mask, divergences_kwargs, flat_var_names, backend_kwargs, marginal_kwargs, show, marginals, point_estimate, point_estimate_kwargs, point_estimate_marker_kwargs, reference_values, reference_values_kwargs)\u001b[0m\n\u001b[1;32m    173\u001b[0m         ax \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39matleast_2d(ax)[\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m0\u001b[39m]\n\u001b[1;32m    175\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mscatter\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;129;01min\u001b[39;00m kind:\n\u001b[0;32m--> 176\u001b[0m     \u001b[43max\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mscatter\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mscatter_kwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    177\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mkde\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;129;01min\u001b[39;00m kind:\n\u001b[1;32m    178\u001b[0m     plot_kde(x, y, ax\u001b[38;5;241m=\u001b[39max, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkde_kwargs)\n",
      "File \u001b[0;32m~/checkouts/readthedocs.org/user_builds/arviz/envs/v0.13.0/lib/python3.8/site-packages/matplotlib/__init__.py:1423\u001b[0m, in \u001b[0;36m_preprocess_data.<locals>.inner\u001b[0;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m   1420\u001b[0m \u001b[38;5;129m@functools\u001b[39m\u001b[38;5;241m.\u001b[39mwraps(func)\n\u001b[1;32m   1421\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21minner\u001b[39m(ax, \u001b[38;5;241m*\u001b[39margs, data\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[1;32m   1422\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m data \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[0;32m-> 1423\u001b[0m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[43max\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mmap\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43msanitize_sequence\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1425\u001b[0m     bound \u001b[38;5;241m=\u001b[39m new_sig\u001b[38;5;241m.\u001b[39mbind(ax, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m   1426\u001b[0m     auto_label \u001b[38;5;241m=\u001b[39m (bound\u001b[38;5;241m.\u001b[39marguments\u001b[38;5;241m.\u001b[39mget(label_namer)\n\u001b[1;32m   1427\u001b[0m                   \u001b[38;5;129;01mor\u001b[39;00m bound\u001b[38;5;241m.\u001b[39mkwargs\u001b[38;5;241m.\u001b[39mget(label_namer))\n",
      "File \u001b[0;32m~/checkouts/readthedocs.org/user_builds/arviz/envs/v0.13.0/lib/python3.8/site-packages/matplotlib/axes/_axes.py:4512\u001b[0m, in \u001b[0;36mAxes.scatter\u001b[0;34m(self, x, y, s, c, marker, cmap, norm, vmin, vmax, alpha, linewidths, edgecolors, plotnonfinite, **kwargs)\u001b[0m\n\u001b[1;32m   4510\u001b[0m y \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mma\u001b[38;5;241m.\u001b[39mravel(y)\n\u001b[1;32m   4511\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m x\u001b[38;5;241m.\u001b[39msize \u001b[38;5;241m!=\u001b[39m y\u001b[38;5;241m.\u001b[39msize:\n\u001b[0;32m-> 4512\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mx and y must be the same size\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m   4514\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m s \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m   4515\u001b[0m     s \u001b[38;5;241m=\u001b[39m (\u001b[38;5;241m20\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m mpl\u001b[38;5;241m.\u001b[39mrcParams[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m_internal.classic_mode\u001b[39m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;28;01melse\u001b[39;00m\n\u001b[1;32m   4516\u001b[0m          mpl\u001b[38;5;241m.\u001b[39mrcParams[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlines.markersize\u001b[39m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m \u001b[38;5;241m2.0\u001b[39m)\n",
      "\u001b[0;31mValueError\u001b[0m: x and y must be the same size"
     ]
    },
    {
     "data": {
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rM2ZcBM52YqUel1dbW9viL4SPHTs2AwcOLKo/9thjLerXUqtWrcoLL7xQVD/66KNTV1fXop4nn3xyyXpb3xsAQFvqqPtiuX32s58tWfdFfgCgI+vMu+K1116bVatWfax22WWXpUePHu00EQBAZenIu+KTTz6ZJUuWFNXPOeecNp8FAGBn1VH3xVJPN0uS3XbbrcU9a2tr06dPn6L6u+++2+KeAAC0vc6acRE420nV19eXfOLC4Ycfnl69erWoZ3V1dcaPH19UX7x4cVauXNmini3xzDPPlKx/4QtfaHHPMWPGlHwkY1PvBQCws+vI+2K5lfrmRZK88847bTwJAEDb6My74vPPP5+77rrrY7W//Mu/zNFHH91OEwEAVJaOvis+8MADRbVPf/rTOeyww9p0DgCAnVVH3hdL/XzhjtLSzxUAAO2js2ZcBM52Ui+++GI2btxYVP/c5z7Xqr5NXf/ss8+2qm9zPPfccyXrrbm32trajB49uqg+Z86cbN68ucV9AQAqVUfeF8utsbGxZL1bt25tPAkAQNvorLtifX19Lr/88o/tfz169Mill17ajlMBAFSWjrwrbtiwIU899VRR/ZhjjmmzGQAAdnYdeV9s6klmb731Vot7btq0qeTTzAYPHtzingAAtL3OmnERONtJvfzyyyXrBx54YKv6jhw5smR93rx5rerbHKXubeDAga16NHVS+t42bdqUxYsXt6ovAEAl6sj7YrktW7asZH3AgAFtPAkAQNvorLviTTfdlIULF36sdv7552f33Xdvp4kAACpPR94Vn3/++ZI/HD1mzJg2mwEAYGfXkffF/fffv+QvJW1N6G327NnZunVrUf2zn/1si3sCAND2OmvGReBsJzV//vyS9X322adVfYcOHZqampqi+muvvdaqvttr69atRT/0kbT+vpJk+PDhJettdW8AAG2po+6LO8Ls2bNL1ocMGdLGkwAAtI3OuCsuWrQoP/3pTz9WGzFiRCZPntxOEwEAVKaOvCs29XXAgw46qM1mAADY2XXkfbG2trbk029feOGFJoN2n+SOO+4o+T4nnHBCi/oBAND2OnPGReBsJ7V8+fKiWvfu3TNo0KBW9e3SpUvJxzWvWLGiVX2318qVK9PQ0FBU/9SnPtXq3kOHDi1Zb6t7AwBoSx11Xyy3zZs359FHHy2qd+3aNWPHjm2HiQAAdrzOtis2Njbm0ksv/djXHaurq3PllVemS5cu7TgZAEDl6ci74iuvvFJU23XXXdO3b9+P1davX5/77rsv3/rWt3Lsscdm9OjRGTlyZMaNG5eTTjopZ599dm677baK+aEPAIC21JH3xSSZMmVKqqqqPlZrbGzMJZdckvfff79Zve6999489dRTRfVJkyZlwIABrZoTAIC205kzLgJnO6k33nijqDZw4MCif+y0RKnH+r3xxhtpbGxsde9PUuq+krT6H6RJ6ftKKucvIwBAOXXUfbHcHnzwwaxataqofuihh6ZPnz7tMBEAwI7X2XbFX/ziF5kzZ87HaqeffronWQAAlNCRd8VFixYV1fbcc8//196dB1dVXw8AP0lI2AQhuGDBURFBFHHriFIXHBi3UrRqrVYFtEKVitoiaqWIiiiiFHDEBbAdl05dUCtuxdKC1WIFBpeiaNCKjiiKIJCwBpLfH8XfFN8LZnlJXm4+nxlmmPN999xzMy8z5768c7/////NmzfH3XffHb17947rr78+XnzxxVi2bFls2LAhSktLY+XKlVFUVBRz586NcePGRf/+/eOss86KV155pU7qBwDIBknuFyMievToEQMGDEiJL1myJAYNGhSffPLJd+YoKyuLqVOnxujRo1PWOnfuHL/61a8yUisAAHWjMc+4NKnvAqieVatWpcQy9dSL3XffPSVWWloa69atq/Uv3aa7ropqqqqKcqxevbrGuQEAsk1S+8VMKi4ujkmTJqVdO++88+q2GACAOtSYesUvvvgiJkyYsENsjz32iKuuuqrOawEAaAiS2itu3bo1Pv/885R4YWFhRER89NFHcfnll8cHH3xQpbyLFy+OSy65JHr37h0TJkyIXXbZJSP1AgBkq6T2i//rmmuuieXLl8fs2bN3iL/99ttx2mmnxamnnhp9+vSJ7t27R2FhYRQUFMS6deti2bJlsWDBgpgxY0bawbT99tsv/vCHP0Tz5s3r6lIAAMiAxjzjYuCsAdqyZUts2LAhJd6qVauM5K/oQ/A1a9bU+o3bmjVr0sYz8cF8QUFBFBQUxJYtWyp1TgCAhirJ/WIm3XrrrfHll1+mxLt16xannHJKPVQEAFD7GluvePPNN0dJSckOsZEjR/oiMABAGknuFVetWhVlZWVpa1q6dGkMGDCgRl/imDt3bpx77rlx3333RceOHWtSKgBA1kpyv/i/mjRpEpMmTYrJkyfHAw88sEMfWVpaGjNnzoyZM2dWOl9ubm6ceeaZcf3110fLli1ro2QAAGpRY55xMXDWAKW7aYuIaNGiRUbyV3RTs379+ozk35mKri1TN1otW7ZM+WWsi+sCAKhLSe4XM+WZZ56Jp556KiWem5sbo0aNitzc3HqoCgCg9jWmXnHWrFkpTyE+4YQTPFwAAKACSe4Vv/7667TxjRs3xi9+8Yu0w2adO3eOQw89NHbbbbfYtm1bfPXVV7FgwYJYvnx52lxLly6NIUOGxIwZMzL2MwMAyCZJ7he/LT8/P66++uro169f3HvvvfG3v/0tSktLq5Rj9913jz59+sSAAQNi//33r6VKAQCobY15xsXAWQP07TfTN/Lz8zOSv6I8FZ03k2r72po0SX3L18V1AQDUpST3i5nw7rvvxujRo9OuDRw4MI488sg6rggAoO40ll6xuLg4xowZs0OsefPmccMNN9RpHQAADUmSe8XNmzenjc+dOzcl1rt37xgxYkR07tw57TGLFi2KcePGxVtvvZWy9uGHH8YNN9wQd955Z43qBQDIRknuFyty4IEHxpgxY6Jnz54xadKkWLt2baWPbd++fXTo0KFOd2cDACDzGvOMi8f2N0Bbt25NG0/3RquOivJUdN5MqugpIHl5eRnJn+6Xui6uCwCgLiW5X6ypL774Ii677LLYuHFjytrBBx8cv/71r+uhKgCAutNYesU77rgjVq5cuUNs6NCh0bFjxzqtAwCgIUlyr1jZ3ShGjBgR999/f4XDZhERRxxxRDz66KNxzjnnpF1/9tlnY968edWqEwAgmyW5X0xn5cqVMXbs2DjuuOPipptuqtKwWUTEv//975gwYUL06dMnbr/99ti0aVMtVQoAQG1qzDMudjhrgHJz088JlpWVZSR/RXlycnIykn9n6uPaKjonAEBDleR+sSZKSkpiyJAhsWLFipS1wsLCmDx5chQUFNRDZQAAdacx9IoLFy6Mxx9/fIdYly5d4qKLLqqzGgAAGqLG0CvuzODBg+OSSy6p1Gtzc3NjzJgxsXr16pg9e3bK+tSpU6NXr16ZLhEAoF41pn5x9uzZMXLkyFizZk3KWm5ubnTt2jUOOuigaNu2bRQUFMSaNWvik08+iUWLFsWGDRt2eP2mTZvi97//ffzjH/+IKVOmxL777ls3FwEAQEY05hkXA2cNUEVP8ti2bVtG8leUJ1Nb/u1MfVxbXVwXAEBdSnK/WF2bN2+OSy+9NN57772UtZYtW8a0adNi7733rofKAADqVtJ7xS1btsRvf/vbKC8v//9YTk5O3HjjjVndrwIAZIMk94rfdY5OnTrFFVdcUeW8N998cyxYsCBlt4vXXnstioqKokuXLlXOCQCQrZLcL/6vJ554IkaNGrXDZ4wREc2aNYsBAwbEwIEDY7fddkt77NatW+OFF16IKVOmxLJly3ZY++CDD2LgwIHxxz/+MTp27Fhb5QMAkGGNecYlO8beqJJmzZqljWdqy+WNGzemjTdt2jQj+XemPq6tLq4LAKAuJblfrI7S0tK44oorYsGCBSlrTZs2jXvvvTe6d+9eD5UBANS9pPeK99xzT3z00Uc7xH7yk5/EkUceWSfnBwBoyJLcK37XOQYNGhQFBQVVztuuXbs466yz0q7NmzevyvkAALJZkvvFb7z66qtph806dOgQjz32WAwfPrzCYbOI/34ZuX///vH000/HaaedlrK+YsWKuPLKK2Pr1q0Zrx0AgNrRmGdcDJw1QC1btoy8vLyUeElJSUbyr1+/Pm28TZs2Gcm/M61bt04bz9S1fXu76oiIXXfdNSO5AQCyRZL7xaoqKyuLa665JubOnZuylp+fH3fddVf07Nmz7gsDAKgnSe4Vi4qKYvr06TvE2rVrF1dffXWtnxsAIAmS3Cvu7Bz5+fnRr1+/auf+8Y9/nDY+f/78aucEAMhGSe4Xvzn/yJEjU4bNWrVqFdOmTYsDDzyw0rlatGgRd955Zxx77LEpa4sXL46HH364xvUCAFA3GvOMi4GzBignJyftG2jNmjUZyf/111+njdfFm7Zt27Zp45m4tjVr1kRZWVlKPFt+GQEAMiXJ/WJVlJeXx8iRI+OFF15IWcvNzY3x48dH7969674wAIB6lNResaysLEaNGhWlpaU7xK+99tqs61MBALJVUnvFiJ1/SblLly7RsmXLauc+4IADolWrVinxxYsXVzsnAEA2SnK/GBExY8aMWLFiRUp82LBhsf/++1c5X15eXtx6661pd6d48MEH7XIGANBANOYZFwNnDdQee+yREvvqq68ykjtdnjZt2lS4FWAmpbuuiMxcW0U52rdvX+PcAADZJqn9YlXccsst8dRTT6XEc3JyYsyYMXHaaafVQ1UAAPUvib3ijBkz4s0339whdswxx8Tpp59eq+cFAEiaJPaKERHNmjWrcOisa9euNcqdk5MTXbp0SYmvXr26RnkBALJRUvvFiP9+xvhtrVu3jnPPPbfaOffcc88444wzUuKff/55LFy4sNp5AQCoO415xqVJfRdA9XTs2DHee++9HWKrVq2KjRs3RvPmzWuUe/ny5SmxDh061ChnZXXs2DFt/NNPP61x7nTXtbNzAgA0ZEntFytr/Pjx8cgjj6RdGzlyZJx99tl1XBEAQPZIYq+4dOnSlNhee+0V99xzT5VzLVmyJG18zpw5aZ9wfOyxx0aPHj2qfB4AgGyUxF7xGx07dkz71OGd7X5WWemeOFxaWhrr16+v0e5pAADZJqn94urVq6OoqCgl3rNnz7Q7lFXF8ccfH4899lhKfOHChXH00UfXKDcAALWvMc+4GDhroPbdd9+UWHl5eXz88cdx4IEHVjtvcXFx2iet7bffftXOWRWtWrWKdu3axapVq3aIL1u2rMa5K8qR7mcJANDQJbVfrIy77rorHnjggbRrw4cPjwsvvLCOKwIAyC6NpVdMt9ttTbz00kvx0ksvpcRbtGhh4AwASIwk94qdOnWKxYsXp8RbtGhR49wVDZWVlJQYOAMAEiWp/WK6YbOIiG7dutU490EHHZQ2nonvRAIAUPsa84xLbn0XQPVUdBPy7aeHVNW7776bNp6JG6fKSneuDz74IEpLS2uUt6InE1f0swQAaMiS3C/uzNSpU2PKlClp14YOHRpDhgyp44oAALJPY+0VAQD4bknuFQ8++OC08Q0bNtQ49/r169PGd9lllxrnBgDIJkntF7/++uu08bZt29Y4d0U50u2+CwBAdmqsMy4Gzhqoip6Y+8Ybb9Qo75tvvlml89WGQw89NCVWWlpa4U1lZaX72XTo0CEKCwtrlBcAIBsluV+syEMPPRQTJkxIu3bRRRfFlVdeWccVAQBkp8bYKwIAUDlJ7hUPO+ywtPFMfNF37dq1KbGmTZva3QwASJyk9ovl5eV1cp7/lZeXV+fnBACgehrrjIuBswZq7733jg4dOqTE582bV6O8//znP1NizZs3r/DD99pw9NFHp42nq62yPvvss7TbDfbq1avaOQEAslmS+8V0Hn/88Rg7dmzatfPOOy+uu+66Oq4IACB7NbZeEQCAyktyr3jIIYdE69atU+Lvv/9+jfKWl5dHUVFRSrxdu3Y1ygsAkI2S2i+2adMmbbyinc+qYvXq1Wnjmdg9DQCAutFYZ1wMnDVgJ5xwQkrsk08+qfaU5FdffRULFy5MiR9zzDFRUFBQrZzVcfjhh6f9oP8vf/lLtXNWdGy6nyEAQFIktV/8tmeeeSZGjx6ddu3MM8+scA0AoDFLWq84cuTIeP/99zPy77bbbkt7jttuuy3t6wcNGlTr1wcAUJeS1it+Iy8vL44//viUeFFRUaxfv77aeYuKiqK4uDglfvjhh1c7JwBANktiv1jRDhJLliypce533nknbdzAGQBAw9FYZ1wMnDVg/fr1Sxt/9NFHq5XviSeeiG3btqXEf/SjH1UrX3Xl5+fHySefnBJ///33q7X1dnl5eTz22GMp8VatWmXVLyMAQKYltV/8X7NmzYrf/OY3UVZWlrL2wx/+MMaOHRs5OTn1UBkAQHZrDL0iAADVk+ResX///imx0tLSePbZZ6ud8+mnn04br+ipxwAADV0S+8V99tkn8vPzU+Kvv/56bNq0qUa5X3755bTxbt261SgvAAB1p7HOuBg4a8COOOKI6Ny5c0r86aefjk8//bRKuYqLi+Ohhx5Kibdr1y769OlT7Rqr65xzzkkbv/vuu6uc67nnnku71eAZZ5xRrztxAADUtiT3ixH//WB++PDhaf/40Ldv3xg/fnzk5rrlAQBIJ+m9IgAA1ZfkXvHYY4+NvffeOyX+4IMPxpYtW6qcb9WqVfHkk0+mxJs0aRLHHXdctWoEAMh2SewXmzdvHkcccURKfN26ddUepIuIWLFiRcycOTMlnpOTE7169ap2XgAA6l5jnHHx7csGLCcnJ37+85+nxLds2RKjR4+O8vLySucaN25crF69OiV+4YUXRtOmTSud57rrrouuXbum/HvqqacqnSMiokePHnHUUUelxF999dUqPV1u9erVcfvtt6fEmzRpEoMGDapSTQAADU2S+8XXX389rrjiiigtLU1ZO+6442LixInRpEmTKuUEAGhMktwrAgBQM0nuFfPy8mLw4MEp8f/85z9x1113VSlXRMQNN9wQ69atS4n369cv9tprryrnAwBoCJLaL5544olp43fffXd8+OGHlc7zja1bt8a1116b9sEG3bt3j912263KOQEAqDozLtVn4KyBO/3006Nr164p8VdffTXGjh1bqZu3adOmxYwZM1Li7du3j4EDB2akzuoYMWJE5OTkpMRHjRoVCxYs+M7jS0pK4rLLLouVK1emrJ1//vnRsWPHjNQJAJDNktgvvvXWW3HppZfGpk2bUtaOPvromDJlSlY95QMAIFslsVcEACAzktwrnn322Wmvbdq0aTF9+vRK5SgrK4tRo0bF7NmzU9by8vLi0ksvrXGdAADZLIn94jnnnBOFhYUp8eLi4hg8eHC89957lc61YcOGGD58ePzrX/9Ku/7LX/6y2nUCAFB/GtuMi0f+N3B5eXlx8803x/nnnx9bt27dYe3hhx+OZcuWxahRo2KfffZJOfaLL76IO+64o8JpylGjRkWLFi1qpe7K6NGjR5x//vnxyCOP7BDfuHFjXHTRRTFs2LAYOHBgNGvWLOXYefPmxU033ZR2m8EOHTrEsGHDaqtsAICskrR+ce3atTF48ODYsGFDylp+fn706NEjHnjggYycq3Xr1nHBBRdkJBcAQDZKWq8IAEDmJLlXzMvLi7Fjx8Z5550XpaWlO6zdcccdsXDhwhgxYkTsv//+aY9/4403Yty4cfHmm2+mXb/qqqtiv/32y3TZAABZJYn9YsuWLWPo0KFxyy23pKwtX748fvrTn8bAgQNjwIABFe5OVlpaGi+88ELcc889ab+7GBFx5JFHVribGgBAUvz5z3+Ozz77bKevWbJkSdr4nDlzYsWKFTs99nvf+16cccYZ1S2v2hrbjIuBswQ47LDDYvjw4Wm31XvllVfi5JNPjsMPPzy6d+8eu+66a5SUlMSSJUti4cKFKTd73xg4cGD07du3tkv/Ttdee2288cYb8c477+wQLy0tjd/97ncxbdq06NWrV+y7777RpEmT+PLLL2PBggUV3qw1bdo0Jk6cGK1ataqD6gEAskOS+sXi4uJYu3Zt2rXS0tKYOnVqxs7VoUMHA2cAQOIlqVcEACCzktwrHnLIITFy5Mi48cYbU9bmzJkTc+bMiQMOOCB69OgRu+++e2zbti1WrlwZCxYsiOXLl1eY96STToohQ4bUYuUAANkjif3iBRdcEG+88UY8//zzKWubNm2K+++/P6ZNmxbdunWLgw46KNq0aRP5+fmxdu3a+Pjjj2PRokVpH576jb322ismTpxYm5cAAJAVnnzyyZg/f361jn3ppZfipZde2ulrjjrqqHoZOItoXDMuBs4S4uKLL45Vq1bF9OnTU9bKy8tj0aJFsWjRokrl6t+/f1x33XWZLrFaCgoKYvr06TFgwIBYunRpynpxcXHMmjWrUrny8/Nj8uTJceihh2a6TACArJfUfhEAgJrTKwIAUJEk94rnnXdelJSUxJ133pl2fenSpWn/Rl2RU089NcaNG5ep8gAAGoSk9Ys5OTkxbty4KCkpiZdffjnta8rKyuKdd95J+YLxd9l9991j2rRpseeee2aiVAAA6kljmnHJre8CyJwRI0bE6NGjo6CgoFrH5+XlxeWXXx7jx4+P3NzseWsUFhbGn/70pxptI73nnnvGww8/bCtqAKBRS2q/CABAzekVAQCoSJJ7xcGDB8fkyZNr9PTg/Pz8uPLKK2PSpEnRrFmzDFYHANAwJK1fLCgoiPvvvz+uvfbaal/Tt/Xt2zdmzpwZBxxwQEbyAQBQvxrLjEv9d+dk1M9+9rN47rnn4qSTTqrSzVevXr1ixowZMWzYsMjJyanFCqunVatWcd9998XEiROjU6dOlT6uRYsWcfHFF8cLL7wQhx9+eC1WCADQMCS1XwQAoOb0igAAVCTJveIpp5wSs2bNinPPPbdKA2N5eXlx5plnxosvvhhDhw6txQoBALJf0vrFnJycuPjii+P555+PQYMGRevWraucIzc3N0488cSYPn16TJkyJQoLC2uhUgAA6ktjmHHJKS8vL6/vIqgdn376afz1r3+N+fPnx4cffhgrV66MzZs3R9OmTaNt27bRqVOn+P73vx99+/aNzp0713e5lVZeXh6vv/56vPzyy/H222/Hxx9/HOvWrYtt27ZFixYton379tG1a9c49thjo0+fPjV6Gh0AQJIltV8EAKDm9IoAAFQkyb3imjVr4u9//3u89tprUVRUFJ9//nls2LAhmjRpEoWFhdG2bdvo0qVL/OAHP4hevXr50jAAQBpJ7Bc3bdoU8+fPj7fffjveeuut+Oyzz2LdunVRXFwcW7dujV122SVat24dhYWFcfDBB0ePHj2iZ8+e0b59+/ouHQCAOpDUGRcDZwAAAAAAAAAAAAAAAABERETl9y4GAAAAAAAAAAAAAAAAINEMnAEAAAAAAAAAAAAAAAAQEQbOAAAAAAAAAAAAAAAAANjOwBkAAAAAAAAAAAAAAAAAEWHgDAAAAAAAAAAAAAAAAIDtDJwBAAAAAAAAAAAAAAAAEBEGzgAAAAAAAAAAAAAAAADYzsAZAAAAAAAAAAAAAAAAABFh4AwAAAAAAAAAAAAAAACA7QycAQAAAAAAAAAAAAAAABARBs4AAAAAAAAAAAAAAAAA2M7AGQAAAAAAAAAAAAAAAAARYeAMAAAAAAAAAAAAAAAAgO0MnAEAAAAAAAAAAAAAAAAQEQbOAAAAAAAAAAAAAAAAANjOwBkAAAAAAAAAAAAAAAAAEWHgDAAAAAAAAAAAAAAAAIDtDJwBAAAAAAAAAAAAAAAAEBEGzgAAAAAAAAAAAAAAAADYzsAZAAAAAAAAAAAAAAAAABFh4AwAAAAAAAAAAAAAAACA7QycAQAAAAAAAAAAAAAAABARBs4AAAAAAAAAAAAAAAAA2M7AGQAAAAAAAAAAAAAAAAARYeAMAAAAAAAAAAAAAAAAgO0MnAEAAAAAAAAAAAAAAAAQEQbOAAAAAAAAAAAAAAAAANjOwBkAAAAAAAAAAAAAAAAAEWHgDAAAAAAAAAAAAAAAAIDtDJwBAAAAAAAAAAAAAAAAEBEGzgAAAAAAAAAAAAAAAADYzsAZAAAAAAAAAAAAAAAAABFh4AwAAAAAAAAAAAAAAACA7QycAQAAAAAAAAAAAAAAABARBs4AAAAAAAAAAAAAAAAA2M7AGQAAAAAAAAAAAAAAAAARYeAMAAAAAAAAAAAAAAAAgO0MnAEAAAAAAAAAAAAAAAAQEQbOAAAAAAAAAAAAAAAAANju/wD4B1HAuBh69QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_pair(non_centered_eight, var_names=[\"theta\", \"mu\"], combine_dims={\"school\"});"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b58278a5",
   "metadata": {},
   "source": [
    "`combine_dims` can be used alongside `combined`, but it can't be used to replace it.\n",
    "When `combined=True`, ArviZ does extra processing in addition to adding\n",
    "`\"chain\"` to `combine_dims` under the hood. Therefore:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "acf97e8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1230 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_forest(\n",
    "    centered_eight, var_names=\"theta\", combined=True, combine_dims={\"school\"}\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6dec2f1f",
   "metadata": {},
   "source": [
    "is not equivalent to:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "020fee2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_forest(\n",
    "    centered_eight, var_names=\"theta\", combine_dims={\"chain\", \"school\"}\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61bddfe8",
   "metadata": {},
   "source": [
    "(common_hdi_prob)=\n",
    "## `hdi_prob`\n",
    "\n",
    "Probability for the highest density interval (HDI).\n",
    "Defaults to ``stats.hdi_prob`` rcParam.\n",
    "\n",
    "Plot the 80% HDI interval of simulated regression data using `y` argument:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "16926ad5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=\"mu\", hdi_prob=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70cc654c",
   "metadata": {},
   "source": [
    "(common_grid)=\n",
    "## `grid`\n",
    "Number of rows and columns. Defaults to None, the rows and columns are automatically inferred.\n",
    "\n",
    "Plot variables in a 4x5 grid:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ec2efd69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 19837.5x6900 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_density([centered_eight, non_centered_eight], grid=(4, 5));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "819673a3",
   "metadata": {},
   "source": [
    "(common_figsize)=\n",
    "## `figsize`\n",
    "\n",
    "`figsize` is short for figure size, expressed as a tuple.\n",
    "By default it is defined automatically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "8d68ec51",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 900x1800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=[\"mu\", \"tau\"], figsize=(3, 6));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e31ffb33",
   "metadata": {},
   "source": [
    "(common_textsize)=\n",
    "## `textsize`\n",
    "\n",
    "Text size for labels, titles and lines.\n",
    "By default it is autoscaled based on ``figsize``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a1cd9ed9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 7935x1725 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(centered_eight, var_names=\"theta\", coords=coords, textsize=30);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f53ffa5c",
   "metadata": {},
   "source": [
    "(common_color)=\n",
    "## `color` or `colors`\n",
    "\n",
    "Color used for the main element or elements of the plot.\n",
    "It should be a valid matplotlib color, even if using the bokeh backend.\n",
    "\n",
    "While both libraries use CSS colors as their base named colors,\n",
    "matplotlib also supports theme based colors like `C0` as well\n",
    "as tableau and xkcd colors. ArviZ converts the provided colors\n",
    "to hex RGB format using matplotlib before passing it to either\n",
    "plotting backend.\n",
    "\n",
    "Plot the HDI interval of simulated regression data using `y` argument, in red:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5a3d7967",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xceLEqK6uTlk78cQT48Ybb8x+KACgXhg2bFg88sgjUVhYmLL2/PPPx5w5cxJIBSTFwBlZN3To0DjvvPNS6tXV1TF16tTsBwIAMmbGjBm7fAraOeec4yloAAAAkGE5OTnRpk2blPrGjRsz0v/zzz9PW093TQAAAKB+e+WVV+LHP/5xVFVVpawNHz48brvttsjJyUkgGQBQX/Tp0yeuvPLKtGtTpkzJchogSU2SDtCYzJgxI+kI9cZFF10U06dPj4qKiq/UZ8+eHTfddJM/WgHYJ+3r3wWee+65uPbaa6OmpiZlbeTIkfHTn/40gVQAUH/s698FAIDkdOzYMTZs2PCV2rp16zLSO12foqKiaN68eUb6AwAAANnx1ltvxfjx46OysjJl7eijj45JkyZFkya2lAIAEaNHj45f/epXsWLFiq/U33jjjdi0aVO0bt06oWRANnnDGYlo1apVDBkyJKW+cePGWLJkSQKJAIDamD17dkyYMCGqq6tT1kaMGBE333yzgXIAAACoIwcccEBKbf369SkPfdsbK1euTKl17dq11n0BAACA7PnTn/4UF154YdrfCgYMGBD3339/NG3aNIFkAEB9lJubG8cee2xKvbq6OubPn59AIiAJBs5ITO/evdPWV61aleUkAEBt/OEPf4jLL788qqqqUtaGDRsWd955Z+Tl5SWQDAAAABqHgw8+OKVWU1MTn3zySa36lpWVpbw5LSKie/futeoLAAAAZE9paWn88Ic/jM2bN6eslZSUxEMPPRQtWrRIIBkAUJ/Z6w8YOCMx7dq1S1v/4osvspwEANhbc+fOjfHjx8f27dtT1oYMGRL33HNP5OfnJ5AMAAAAGo9d3fT94IMPatW3tLQ0bb1Xr1616gsAAABkx6JFi+L888+PTZs2pawdfvjh8fDDD0dBQUECyQCA+s5ef8DAGYnZtm1b2ro3oABAwzBv3ry4+OKLY+vWrSlrAwYMiF/84hfRtGnTBJIBAABA49KvX7+09fnz59eq7zvvvPONrgcAAADUHx9//HGcd9558fnnn6esHXLIITFlypRo06ZNAskAgIagsrIybd1ef2g8DJyRmPXr16etFxUVZTcIAPCNvffee3HBBRfEli1bUtb69esXDz30ULRo0SKBZAAAAND4HHjggdG1a9eU+muvvVarvq+++mpKrUWLFnHEEUfUqi8AAABQt5YvXx7nnnturF27NmXtoIMOiqlTp+7yrSUAABER69atS1u31x8aDwNnJOaPf/xj2nq3bt2ynAQA+CY+/PDDGDduXJSVlaWs9erVKyZPnhwFBQUJJAMAAIDGa+jQoSm1Tz/9NEpLS/eq37p169L+jj948GBvNAcAAIB6bM2aNXHuuefG6tWrU9b233//mDp1anTq1CmBZABAQ2KvP2DgjESsWbMm3nnnnZR6hw4d0j6FFQCoHz7++OM4//zzY+PGjSlrPXv2jEceeSTatGmT/WAAAADQyP3TP/1T2voTTzyxV/1+85vfxI4dO1LqJ5544l71AwAAAOre+vXrY+zYsbFixYqUtQ4dOsTUqVPtzwMAvlZFRUX84Q9/SKk3adIk+vbtm0AiIAkGzkjEHXfcEdXV1Sn1Y489NoE0AMCeWLFiRZx77rlpX5XdrVu3mDJlSuy3334JJAMAAACOPPLI6NmzZ0r9qaeeSrvJbHfKyspi2rRpKfV27drFcccdt9cZAQAAgLrzxRdfxHnnnRcff/xxytp+++0XU6dO9UYSAGCPPPjgg2kfSv/3f//30bJly+wHAhJh4IyvtWjRoqipqclYv8ceeyz+53/+J+3a6NGjM3YdACBz1qxZE+eee26sXr06Za1r167x6KOPRseOHRNIBgAAAERE5OTkxLhx41LqlZWVccMNN3yj3/lvu+222LBhQ0p9zJgx0axZs1rlBAAAADKvvLw8xo0bFx9++GHKWps2bWLKlClpH1QDADR8S5cujaqqqoz1e+GFF+Lhhx9Ou3bGGWdk7DpA/WfgjK81adKkGDlyZMyePTvtW8n2VEVFRdxxxx3xs5/9LO368ccf7xWbAFAPbdiwIc4///xYvnx5ylqnTp3i0UcfjS5duiSQDAAAAPhbJ598chx++OEp9VdeeSVuvvnmPRo6+9WvfhX/9V//lVLv3LlzjB07NiM5AQAAgMzZunVrXHzxxbFgwYKUtYKCgpg8eXIUFxcnkAwAyIbHH388RowYEU899VRs3759r/tUVVXFww8/HD/+8Y/T9ikpKYnvfOc7tYkKNDA5NZl8dRX7pEsuuSRefPHFiIjo0KFDHH/88fHd7343+vbtG61atfra81etWhUzZ86MJ554IlatWpX2mA4dOsTTTz8d7du3z2h2AKD2xowZE2+++WbatZNPPjkOPvjgjF6rsLAwY/0AgMx67LHHYtOmTbs9Zu7cufHGG2+k1E877bQ44IADdntucXFxHHvssbXKCACN3TvvvBPf//730z7N9JhjjonrrrsuunXrlrK2Zs2auPPOO2PmzJlp+95///0xfPjwjOcFADLr6aef3uV9+b9auHBh/P73v0+pf/e7341evXrt9tz9998/TjnllNpEBAAy7Oqrr46nnnoq7dqwYcOiX79+GbvWySefHF27ds1YPwCg9m6++eaYNm1aRPzlzabHHXdcfO9734v+/ftH69atv/b8DRs2xLPPPhtPPPFELF68OO0xLVu2jN/85jfemAqNjIEzvtbfDpz9rZycnOjWrVsceuihUVRUFIWFhdGqVauoqKiIzZs3x+rVq2PhwoWxevXq3fZv3bp1TJ06Nfr06VNXHwEAqIVjjz02Vq5cmZVrvfjii1+7ER0ASE5dfy8YOXJk3HbbbXXWHwAai0ceeSRuv/32tGs5OTnRv3//6Nu3b7Rp0ybKy8tj4cKF8cc//jHtkFpExNixY+Oaa66py8gAQIbs7iFymTBw4MCYPn16nfUHAL65uv7//29NmzYtBg0alJVrAQB75m8Hzv5/Xbt2jcMOOyzatWsXhYWFUVBQENu2bYvy8vJYt25dLFy4MFasWBG7Gylp2rRp3HfffTF06NC6+ghAPdUk6QA0XDU1NbFs2bJYtmzZXvc45JBD4u67747DDjssc8EAAAAAAKARO//882P9+vUxefLklLWampqYN29ezJs3b496nXTSSXH11VdnOiIAAAAAAFDHVq5cWauHynbq1Cl+/vOfx8CBAzOYCmgoDJyRiPz8/LjgggvioosuiqZNmyYdBwAAAAAA9ikTJkyIrl27xq233hqVlZXf+Py8vLy4+OKLY/z48ZGTk1MHCQEAAAAAgPooNzc3zjzzzLjiiiuioKAg6ThAQgyc8bVuvPHGGDZsWMyZMyfmzp0bZWVle92rW7duMXLkyBg5cmR07tw5gykBAAAAAIC/dfbZZ8fRRx8dP//5z2P27NlRXV29R+cNGTIkJkyYEL17967jhAAAAAAAQG1ceumlUVJSEnPmzInXXnstNmzYsNe9OnbsGKecckqceuqp0b179wymBBqinJqampqkQ9Bw1NTUxJIlS+Ldd9+NDz/8MJYvXx4rVqyIDRs2xObNm2Pbtm3RtGnTKCgoiMLCwmjbtm0cfvjh0bt37ygpKYni4uKkPwIAAAAAADQ6K1asiBdeeCHefPPNWLJkSaxduza2bdsWzZo1i7Zt28YhhxwSAwYMiOHDh0fPnj2TjgsAAAAAAOyFTz/9NN59990oLS2NFStWxIoVK2Lt2rWxZcuWqKioiPz8/CgoKIiCgoIoKiqKnj17Rp8+faJv377Rp0+fyMvLS/ojAPWEgTMAAAAAAAAAAAAAAAAAIiIiN+kAAAAAAAAAAAAAAAAAANQPBs4AAAAAAAAAAAAAAAAAiAgDZwAAAAAAAAAAAAAAAADsZOAMAAAAAAAAAAAAAAAAgIgwcAYAAAAAAAAAAAAAAADATgbOAAAAAAAAAAAAAAAAAIgIA2cAAAAAAAAAAAAAAAAA7GTgDAAAAAAAAAAAAAAAAICIMHAGAAAAAAAAAAAAAAAAwE4GzgAAAAAAAAAAAAAAAACICANnAAAAAAAAAAAAAAAAAOxk4AwAAAAAAAAAAAAAAACAiDBwBgAAAAAAAAAAAAAAAMBOBs4AAAAAAAAAAAAAAAAAiAgDZwAAAAAAAAAAAAAAAADsZOAMAAAAAAAAAAAAAAAAgIgwcAYAAAAAAAAAAAAAAADATgbOAAAAAAAAAAAAAAAAAIgIA2cAAAAAAAAAAAAAAAAA7GTgDAAAAAAAAAAAAAAAAICIMHAGAAAAAAAAAAAAAAAAwE4GzgAAAAAAAAAAAAAAAACICANnAAAAAAAAAAAAAAAAAOxk4AwAAAAAAAAAAAAAAACAiDBwBgAAAAAAAAAAAAAAAMBOBs4AAAAAAAAAAAAAAAAAiAgDZwAAAAAAAAAAAAAAAADsZOAMAAAAAAAAAAAAAAAAgIgwcAYAAAAAAAAAAAAAAADATgbOAAAAAAAAAAAAAAAAAIgIA2cAAAAAAAAAAAAAAAAA7GTgDAAAAAAAAAAAAAAAAICIMHAGAAAAAAAAAAAAAAAAwE4GzgAAAAAAAAAAAAAAAACICANnAAAAAAAAAAAAAAAAAOxk4AwAAAAAAAAAAAAAAACAiDBwBgAAAAAAAAAAAAAAAMBOBs4AAAAAAAAAAAAAAAAAiAgDZwAAAAAAAAAAAAAAAADs9P8AHBTF6q3UF2UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 3450x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_hdi(x_data, y_data, color=\"red\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1502b7be",
   "metadata": {},
   "source": [
    "`colors` behaves like `color` but it takes an iterable of colors instead\n",
    "of a single color. The number of colors to be provided is defined by\n",
    "the models being compared (like in `plot_density`) of by the number\n",
    "of different quantities being plotted (like in `plot_ppc`).\n",
    "\n",
    ":::{warning}\n",
    "In {func}`~arviz.plot_elpd` and {func}`~arviz.plot_khat`, where scatter plots are generated with\n",
    "one dot per observation, `color` can also take an {term}`numpy:array_like` of colors, one per dot.\n",
    "\n",
    "There are examples in their respective docstrings.\n",
    ":::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "4b0fcc8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 11902.5x10350 with 18 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_density([centered_eight, non_centered_eight], colors=[\"salmon\", \"indigo\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d64f903",
   "metadata": {},
   "source": [
    ":::{seealso}\n",
    "Matplotlib {doc}`mpl:tutorials/colors/colors` tutorial.\n",
    "\n",
    "Module {mod}`bokeh.colors`\n",
    ":::\n",
    "\n",
    "(common_legend)=\n",
    "## `legend`\n",
    "\n",
    "Show a legend with the color encoded model information. Defaults to True, if there are multiple models.\n",
    "\n",
    "\n",
    "(common_model_names)=\n",
    "List with names for the models in the list of data. Useful when plotting more than one dataset.\n",
    "\n",
    "\n",
    "(common_ax)=\n",
    "## `ax`\n",
    "\n",
    "`matplotlib.axes.Axes` or `bokeh.plotting.Figure`.\n",
    "\n",
    "\n",
    "(common_backend)=\n",
    "## `backend`\n",
    "\n",
    "Select plotting backend {\"matplotlib\",\"bokeh\"}. Defaults to \"matplotlib\".\n",
    "\n",
    "\n",
    "(common_backend_kwargs)=\n",
    "## `backend_kwargs`\n",
    "\n",
    "These are kwargs specific to the backend being used, passed to `matplotlib.pyplot.subplots` or `bokeh.plotting.figure`. For additional documentation check the plotting method of the backend.\n",
    "\n",
    "\n",
    "(common_show)=\n",
    "## `show`\n",
    "\n",
    "Call backend show function."
   ]
  }
 ],
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