diff --git a/doc/devlog/2024-03-01.ipynb b/doc/devlog/2024-03-01.ipynb new file mode 100644 index 00000000..e43ad6a2 --- /dev/null +++ b/doc/devlog/2024-03-01.ipynb @@ -0,0 +1,258 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# devlog 2024-03-01\n", + "\n", + "CompartmentModel methods for querying the indices of compartments and events.\n", + "\n", + "## Motivation\n", + "\n", + "Complex models like the COVID-19 model developed for SPARSEMOD can increase the descriptive power of the simulation, but the complexity poses challenges in interpreting the results. epymorph now includes a few utilities for common results processing tasks.\n", + "\n", + "Let's run an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from epymorph import *\n", + "from epymorph.initializer import single_location\n", + "\n", + "ipm = ipm_library['sparsemod']()\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['pei'](),\n", + " ipm=ipm,\n", + " mm=mm_library['centroids'](),\n", + " params={\n", + " # IPM params\n", + " 'beta': 0.3,\n", + " 'omega': [0.55, 0.05],\n", + " 'delta': [0.333, 0.5, 0.166, 0.142, 0.125],\n", + " 'gamma': [0.166, 0.333, 0.25],\n", + " 'rho': [0.4, 0.175, 0.015, 0.2, 0.6],\n", + " # movement model params\n", + " 'phi': 40.0,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 300),\n", + " initializer=partial(single_location, location=0, seed_size=10_000),\n", + " rng=default_rng(10108),\n", + ")\n", + "\n", + "out = sim.run()\n", + "\n", + "plot_pop(out, 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we see all of the compartments over time. This is a good start, but because we have multiple stages of infection, we can't really appreciate how many people are currently infectious compared to the other classes. We need to compute a sum across our compartments of interest (in this case, any compartment starting with \"I\").\n", + "\n", + "These sort of data manipulation tasks were always possible, however since our output is a numpy array we must know the array indices of the data we're interested in to do it successfully.\n", + "\n", + "Previously, one had to visually inspect the list of compartments or events:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['S', 'E', 'Ia', 'Ip', 'Is', 'Ib', 'Ih', 'Ic1', 'Ic2', 'D', 'R']" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "['S → E',\n", + " 'E → Ia',\n", + " 'E → Ip',\n", + " 'Ip → Is',\n", + " 'Is → Ih',\n", + " 'Is → Ic1',\n", + " 'Is → Ib',\n", + " 'Ih → Ic1',\n", + " 'Ih → R',\n", + " 'Ic1 → D',\n", + " 'Ic1 → Ic2',\n", + " 'Ia → R',\n", + " 'Ib → R',\n", + " 'Ic2 → R']" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(ipm.compartment_names)\n", + "display(ipm.event_names)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Okay, so the infectious indices are: 2, 3, 4, 5, 6, 7, 8; with 0, 1, 9, and 10 being non-infectious. Now I can sum and plot." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.set_title(f\"Prevalence by compartment: {out.geo_labels[0]}\")\n", + "ax.set_xlabel(\"days\")\n", + "ax.set_ylabel(\"individuals\")\n", + "x_axis = out.ticks_in_days\n", + "ax.plot(x_axis, out.prevalence[:, 0, 0], label=\"S\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, 1], label=\"E\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, (2, 3, 4, 5, 6, 7, 8)].sum(axis=1), label=\"I*\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, 10], label=\"R\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, 9], label=\"D\")\n", + "ax.legend()\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That works, but managing a bunch of indices by hand is error prone and not very descriptive. With epymorph's new features, we can do this in a more declarative fashion. Instead of hard-coding indices, we can use `ipm.compartments_by()` to retrieve indices for us. Notice I can use an asterisk as a wildcard." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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pDh06hHHjxtmtL72iUfYKRm5uLj7//PMqxXL58mV88skn5dYVFRVVe0iBQqHA6NGj8csvv2Dv3r3l1pfGePfddyM+Ph5//vlnuTo5OTkwmUzX3VdSUhJ+/PFH2+e8vDx88cUX6Nq1K0JCQmzlKpUKEyZMwKpVq7B8+XJ06dKl3FWhiowZMwYZGRn46KOPKj2OW2+9FWazuVydBQsWQJKka/7hWBMmkwlLly61fTYYDFi6dCkCAwPRo0cPABV/PezatQvx8fFV3k9p4nj112JtKZVKjBkzBj/88EOFyX96enqN2nV3d690LCmnO6HGhFfsaiExMRGff/45EhMTbVdHnn32Waxbtw6ff/453nrrLbv6xcXF+Prrr/Hiiy/KES41IAMHDsQjjzyCOXPm4ODBg7jlllugVqtx+vRprF69Gu+//z7uuusuW/3SOfCeffZZ2y/Gsm655RZoNBqMHDkSjzzyCAoKCvDJJ58gKCgIycnJ14zl/vvvx6pVq/Doo49i06ZN6N+/P8xmM06ePIlVq1bhzz//vG5389Xeeust/PXXXxg4cCAefvhhdOjQAcnJyVi9ejW2b98OHx8fPPfcc/j5559x2223YfLkyejRowd0Oh2OHDmC77//HufPn0dAQMA199O2bVs8+OCD2LNnD4KDg7Fs2TKkpqZWmNBOnDgRH3zwATZt2oS5c+dW6TgmTpyIL774AjNmzMDu3bsxYMAA6HQ6bNiwAY8//jhGjRqFkSNHYvDgwXj55Zdx/vx5xMTE4K+//sJPP/2E6dOn291o4ghhYWGYO3cuzp8/j7Zt22LlypU4ePAgPv74Y9tVxdtuuw1r1qzBHXfcgREjRiAhIQFLlixBx44dUVBQUKX9tGrVCj4+PliyZAk8PT3h7u6O2NjYGo3Hu9rbb7+NTZs2ITY2Fg899BA6duyIrKws7N+/Hxs2bEBWVla12+zRowdWrlyJGTNmoFevXvDw8MDIkSMBWP8ft2zZ4tCuW6PRiDfffLNcuZ+fHx5//HGH7YeoHBnuxG2wANjNffTrr78KAMLd3d1uUalU4u677y63/TfffCNUKpVISUmpx6hJDpXNY3e1602L8PHHH4sePXoIV1dX4enpKbp06SKef/55kZSUVK7uvffeKwCIuLi4Ctv6+eefRXR0tHBxcREtW7YUc+fOtU3XcfWUGWWnOxHCOv3H3LlzRadOnYRWqxW+vr6iR48eYvbs2SI3N9dWD4B44oknyu07IiKi3NQhFy5cEBMnThSBgYFCq9WKqKgo8cQTT9hNW5Gfny9mzpwpWrduLTQajQgICBD9+vUT7777rt28YRWJiIgQI0aMEH/++aeIjo4WWq1WtG/fXqxevbrSbTp16iQUCoVtOpqqKCwsFC+//LKIjIwUarVahISEiLvuuss2p1vpcTz99NMiLCxMqNVq0aZNG/HOO+/YpkQpVdH5K51io+ychEJcmeqj7PEMHDhQdOrUSezdu1f07dtXuLi4iIiIiHJzFVosFvHWW2+JiIgIodVqRbdu3cSvv/4qJk2aZDclSGX7LvXTTz+Jjh07CpVKZTdlSWkcVyv9P7laRcedmpoqnnjiCREeHm47r0OGDBEff/zxNc9B2bjLTqFSUFAg7rnnHuHj4yMA2B1ndac7qex8lCqdxqiipVWrVtfdD1FtSEJwdGlVSZJkd1fsypUrce+99+LYsWPlBu96eHjYdfUA1psmvLy87LqGiMh5dOvWDX5+fti4caPcodTIoEGDkJGRcd3xi0TUeLErtha6desGs9mMtLS0646ZS0hIwKZNm/Dzzz/XU3REVB179+7FwYMHbY/FIiJqiJjYXUdBQYHdMwcTEhJw8OBB+Pn5oW3btrj33nsxceJEvPfee+jWrRvS09OxceNGREdHY8SIEbbtli1bhtDQUIcPlCai2jl69Cj27duH9957D6GhoeVuPCEiakh4V+x17N27F926dUO3bt0AADNmzEC3bt0wa9YsANYHq0+cOBHPPPMM2rVrh9GjR2PPnj12U0pYLBYsX74ckydPrnS+JSKSx/fff48pU6bAaDTi22+/hYuLi9whERHVGMfYERERETUSvGJHRERE1EgwsSMiIiJqJHjzRAUsFguSkpLg6enJx9AQERGRrIQQyM/PR1hY2HWfYc3ErgJJSUnlHmxOREREJKeLFy+iefPm16zDxK4CpQ/qvnjxIry8vGSOhoiIiJqyvLw8hIeH2/KTa2FiV4HS7lcvLy8mdkREROQUqjI8jDdPEBERETUSTOyIiIiIGgkmdkRERESNBBM7IiIiokaCiR0RERFRI8HEjoiIiKiRYGJHRERE1EgwsSMiIiJqJJjYERERETUSTOyIiIiIGgkmdkRERESNBBM7IiIiokaCiR0RERFRI6GSO4CmSAiB3QlZUCok26KQJKiUEpSS9bNaqYBWpYCmdFEqoFIyDyciIqLKMbGTgUUA4z7eWe3tlAoJGqUCWrUC7hoVPF1KFzU8tNb3Hi4qeJX9rLWu9ywpD/DUwE3D/3YiIqLGiL/hZWC2CEQFusNiETALAbO55NUCmC0WmCwCRrMFBpMFFmG/XZHFjCKjGTmFxhrv30OrQqCnFoGeWgR5atHM1xXhvm5o7uuK5iWvLmqlA46UiIiI6pMkhBDXr9a05OXlwdvbG7m5ufDy8pI1FpPZAoPZAr3R+mowWVBsNKNAb0J+sank1Yj8YvvPpevLluUWGVFstFx3n5IENPd1RdsgT7QO9kCbIE90CPVEu2BPdgcTERHVs+rkJbxi5+RUJWPr3DS1b0sIgQK9Cen5eqTn65GWr0dqXjEuZRfhUnYhLmUX4WJWIXQGMy5mFeFiVhE2nkyzbe+qVqJLc290C/dBtxY+6NnSDwEe2toHRkRERA7BxK4JkSSpZLydGlGBHhXWEUIgU2fAmbQCnE4rwJnUfJxKzcexy3nI15uwOyELuxOybPU7N/PCjW0CMbBtILpH+ELNK3pERESyYVdsBZypK9ZZWCwCZ9MLcOBiDg4k5uBAYjZOpuTb1fF1U2NY5xDcFh2G2Eg/dtsSERE5QHXyEiZ2FWBiVzVp+cXYfjoDW/5Nx9Z/05Fd5oaOQE8txvcKx4TeLRDm4ypjlERERA0bE7taYmJXfSazBbsSsvDr4WSsO5psS/IUEnBT+2A8MjAKvVr6yRwlERFRw8PErpaY2NWO0WzBX8dS8dXOC4g/l2kr793SD9Nuao0BbQIgSZKMERIRETUcTOxqiYmd45xJK8Bn2xPww75LMJitU60MaBOAV27riLbBnjJHR0RE5PyY2NUSEzvHS8ktxsdbz+GrnRdgMFugkIB7YyPwzC1t4eOIuVyIiIgaKSZ2tcTEru5cyNRhzu8nse5YCgAgyFOLeXdFY1C7IJkjIyIick7VyUs4HwXVqwh/dyy5vwe+fagPogLdkZavx+TP9+ClH49ApzfJHR4REVGDxsSOZNG3lT9+e3IApvRvCQD4ZlciRn64HWfS8q+9IREREVWKiR3JxlWjxKsjO+GbqbEI9XbBuQwdRi/agb9KummJiIioepjYkez6tQ7AL0/egNhIPxToTXjkq334/J8EucMiIiJqcJjYkVMI8NDiq6mxuK9PCwgBzP7lOOb8cQIWC+/tISIiqiomduQ01EoF3hjVGc8NbQcAWLrlHJ77/jDMTO6IiIiqhIkdORVJkvDE4NZ4d2wMlAoJP+y/hJfWHOGVOyIioipgYkdO6a4ezfHB+G5QSMDKvRcx+5dj4JSLRERE1yZrYrd161aMHDkSYWFhkCQJa9euvWb9yZMnQ5KkckunTp1sdV577bVy69u3b1/HR0J1YUR0KN4dGwNJAlbEX8DiLWflDomIiMipyZrY6XQ6xMTEYNGiRVWq//777yM5Odm2XLx4EX5+fhg7dqxdvU6dOtnV2759e12ET/Xgzu7N8dpIa+I+b90p/Ho4SeaIiIiInJdKzp0PHz4cw4cPr3J9b29veHt72z6vXbsW2dnZmDJlil09lUqFkJAQh8VJ8prUryUuZBZi2T8JmLHqEEK9XdAjwk/usIiIiJxOgx5j99lnnyEuLg4RERF25adPn0ZYWBiioqJw7733IjExUaYIyVFeHtEBcR2CYTBZ8MiX+5CaVyx3SERERE6nwSZ2SUlJ+OOPPzB16lS78tjYWCxfvhzr1q3D4sWLkZCQgAEDBiA/v/JHVen1euTl5dkt5FyUCgkfTOiK9iGeyCgw4MlvD8BktsgdFhERkVNpsIndihUr4OPjg9GjR9uVDx8+HGPHjkV0dDSGDh2K33//HTk5OVi1alWlbc2ZM8fWzevt7Y3w8PA6jp5qwk2jwv/d2x3uGiV2J2RhwYZ/5Q6JiIjIqTTIxE4IgWXLluH++++HRqO5Zl0fHx+0bdsWZ86cqbTOzJkzkZuba1suXrzo6JDJQaICPfD2mGgAwKJNZxF/NlPmiIiIiJxHg0zstmzZgjNnzuDBBx+8bt2CggKcPXsWoaGhldbRarXw8vKyW8h5jYwJw4Te1quqz31/CAV6k8wREREROQdZE7uCggIcPHgQBw8eBAAkJCTg4MGDtpsdZs6ciYkTJ5bb7rPPPkNsbCw6d+5cbt2zzz6LLVu24Pz589ixYwfuuOMOKJVKTJgwoU6PherXyyM6ormvKy5lF+Gt30/IHQ4REZFTkDWx27t3L7p164Zu3boBAGbMmIFu3bph1qxZAIDk5ORyd7Tm5ubihx9+qPRq3aVLlzBhwgS0a9cOd999N/z9/bFz504EBgbW7cFQvfLQqjDvLmuX7De7ErHl33SZIyIiIpKfJPicpnLy8vLg7e2N3Nxcdss6uVd/OooV8RcQ5u2CDc8MhJtG1qkZiYiIHK46eUmDHGNHVOqF4e3R3NcVSbnFWLSp8htkiIiImgImdtSguWlUeOW2jgCAT7Ym4HyGTuaIiIiI5MPEjhq8WzoG48a2gTCYLXj91+Nyh0NERCQbJnbU4EmShFdHdoRaKeHvk2nYyhspiIioiWJiR41Cq0AP3N+nJQBg3p8nYbHwniAiImp6mNhRo/HE4Fbw0Kpw9HIefj+aLHc4RERE9Y6JHTUa/h5aPDQgCgDw7p+nYDRbZI6IiIiofjGxo0Zl6oBI+LtrcD6zEKv28pm/RETUtDCxo0bFXavCkze1BgB8sPE09CazzBERERHVHyZ21OjcExuBUG8XpObp8cO+y3KHQ0REVG+Y2FGjo1EpbGPtlmw5CxPH2hERURPBxI4apfG9w+HrpkZiViF+O8I7ZImIqGlgYkeNkptGhQf6RwIAFm8+CyE4rx0RETV+TOyo0ZrYtyU8tCqcTMnH1tMZcodDRERU55jYUaPl7abG2J7NAQDL/0mQORoiIqK6x8SOGrVJfVtCkoBNp9KRkKGTOxwiIqI6xcSOGrWWAe4Y3C4IALBix3l5gyEiIqpjTOyo0ZvcryUA4Pt9l5BfbJQ3GCIiojrExI4avQFtAtA6yAMFehO+33dJ7nCIiIjqDBM7avQkScKkkqt2K3ach8XCqU+IiKhxUskdAFF9uLNbM8z94yTOZxZiV0IW+rbylzskousSFguEyQRhMAImI4TRaP1c8gqzGcJshjCZAbMJwmwuX2axAEIAFov1vUUAwv49hICwCGu90s9ClKwXAESZdq6UoWR+SNs8kaV/M9k+l/0jyr7Mbm7Jq7eze19RWRXPX3Xnr3Sm+S4dGYpUi22d6JQ4u4CHH4Kk0cgdBhM7ahrctSqMjAnFt7svYuWeRCZ25FDCbIY5OxuWggJYCgutS1ERLLqS10IdRFFRyboi+zqFOojSsqIrr8JgAMxmuQ+NiKrI/4EpTOyI6tO4Xi3w7e6L+ONoCmYXGuHtppY7JHJyFr0epvR0mNLSYcpIt75PT4cpI+PK+/R0mDOzAEv9PJNYUqsBtRqSSgVJqQRUSkjKit6rICkUgEIBKCRIUmXvJUBSAJIEKCRAkiBBsq6XSj4rJMCuDFe2A6xldq8l60s/2IK/ul7ZdShXVmEb1T5h19n2uutrvms7ogZtXS+2Ku23gktu1Y2lNnFUdhW0vs9HbeOoyr5VzpFSOUcURPUgprk32od44mRKPn46dBkT+7aUOyRyAsJigSk5GfpzCTAknIP+7DkYzp2D/tw5mDMzq96QJEHh7g6FmxsUrq6Q3N1K3rvZyhRublC4uUIqW+5WWl6yXemrRgtJrYJUmsSp1YBSWSbZISIqj4kdNRmSJOHunuF4/dfjWLnnIhO7JkgYjSg+eQpFhw6h6PAh6M+cgSHhPERRUaXbSBoNVIGBVy0BtvfKgJL3fn6QnOQvdiJquvhTiJqUO7o1w9t/nMSxpDwcS8pFpzBvuUOiOmQxGFC0/wB0O+NRuHcvio8egyguLl9RpYImIgLaqChooqKgbRUFTWQUNC3CofDy4lUyImowmNhRk+LrrsGQDkH442gKfjqYxMSuETKmpqFg09/I3/g3CvfsKZfIKby84BoTA9eYGLi0bwdNVCtowptbuzqJiBo4JnbU5Izq2gx/HE3BzweT8OKw9lAoeDWmoTNlZSHv19+Q+9uvKD502G6dMiAA7n37wj22N1y7d4emZUvrTQVERI0QEztqcga1C4SniwopecWc064BE2YzCrZsRc7q1SjYtg0wmWzrXGNi4BE3BB4DB0Lbpg27UomoyWBiR02Oi1qJWzuHYuXei/jp4GUmdg2MOS8POWvWIPvrb2C8eNFW7tKlC7xvvx2eQ2+BOihIxgiJiOTDxI6apFHdwrBy70X8fiQZs0d1glallDskug5zbi4yP/kEWd98C1FYCABQeHvD564x8LnzTmhbtZI5QiIi+TGxoyYpNtIfIV4uSMkrxuZT6RjaKUTukKgSluJiZH/1FTI+/gSWvDwAgLZNG/jefx+8R46EwtVV5giJiJwHEztqkpQKCSNjQvHJtgT8dPAyEzsnJEwm5P70E9I/+BCm1FQAgLZtWwTOeBoeAwdy3BwRUQWY2FGTNaprM3yyLQEbT6RBpzfBXctvB2dRfPIkkl96GcXHjwMAVGGhCPzPf+A9cqT1cVlERFQh/iajJqtTmBci/N1wIbMQm06l4bboMLlDavIsBgMyFi9G5iefAiYTFF5eCHj8MfhOmACFVit3eERETo+TOVGTJUkShnW2dsH+cTRF5mjIcPEiLtxzLzIXLwFMJnjefDNa/fYr/CdPZlJHRFRFsiZ2W7duxciRIxEWFgZJkrB27dpr1t+8eTMkSSq3pKTY/1JetGgRWrZsCRcXF8TGxmL37t11eBTUkA3vHAoA2HQyDcVGs8zRNF15f/2FhDvHoPjoUSi8vdFs4UI0//ADqAID5Q6NiKhBkTWx0+l0iImJwaJFi6q13alTp5CcnGxbgsrMWbVy5UrMmDEDr776Kvbv34+YmBgMHToUaWlpjg6fGoGY5t4I83ZBocGMrf+myx1OkyMMBqT87y1c/s9TsOTnw7VrV0T9uAZew4bKHRoRUYMka2I3fPhwvPnmm7jjjjuqtV1QUBBCQkJsi6LM44Hmz5+Phx56CFOmTEHHjh2xZMkSuLm5YdmyZY4OnxoBSZIwtKQ7dh27Y+uVuUCHi48+huwvvwQA+E99EBFffgF1GMc6EhHVVIMcY9e1a1eEhobi5ptvxj///GMrNxgM2LdvH+Li4mxlCoUCcXFxiI+Pr7Q9vV6PvLw8u4WajtLu2PUnUmEwWWSOpmkwpqXhwsT7oduxA5KbG5r/3/8h6NlnIanVcodGRNSgNajELjQ0FEuWLMEPP/yAH374AeHh4Rg0aBD2798PAMjIyIDZbEZwcLDddsHBweXG4ZU1Z84ceHt725bw8PA6PQ5yLj0ifBHgoUV+sQk7z2XKHU6jpz+XgAvjJ0B//ASU/v6IWLECnjcNljssIqJGoUEldu3atcMjjzyCHj16oF+/fli2bBn69euHBQsW1KrdmTNnIjc317ZcLPP8SWr8lAoJQ9pbx2n+fZJjMeuSPiEBFyZNhDEpCeqIFmj53bdw7dJZ7rCIiBqNBpXYVaR37944c+YMACAgIABKpRKpJbPUl0pNTUVISOVPFtBqtfDy8rJbqGkZ0sGa2G04kQohhMzRNE6GixeROHkKzOkZ0LZti5bffgsNr44TETlUg0/sDh48iNBQ6xgpjUaDHj16YOPGjbb1FosFGzduRN++feUKkRqAG9oEQKNS4FJ2Ef5NLZA7nEbHePkyEidNhik1FZrWrdDi82VQ+fnJHRYRUaMj65MnCgoKbFfbACAhIQEHDx6En58fWrRogZkzZ+Ly5cv44osvAAALFy5EZGQkOnXqhOLiYnz66af4+++/8ddff9namDFjBiZNmoSePXuid+/eWLhwIXQ6HaZMmVLvx0cNh5tGhf6t/LHpVDo2nEhFuxBPuUNqNEzZ2bgw5QEYk5KgiYhAi2XLoPL3lzssIqJGSdbEbu/evRg8+Mqg6RkzZgAAJk2ahOXLlyM5ORmJiYm29QaDAc888wwuX74MNzc3REdHY8OGDXZtjBs3Dunp6Zg1axZSUlLQtWtXrFu3rtwNFURXG9IhGJtOpWPjiVQ8Mbi13OE0CsJgwKUnn4QxMRHqZs3QYsVyqMvMO0lERI4lCQ4oKicvLw/e3t7Izc3leLsmJDm3CH3n/A1JAva8HIcADz7GqjaEEEh++b/IXbMGCg8PtPzuW2hbM2EmIqqu6uQlDX6MHZGjhHq7olOYF4SwPmKMaidr2efIXbMGUCjQbMF8JnVERPWAiR1RGUM6WLvsN55gYlcbBdu2I+3ddwEAwS++CI8BA2SOiIioaWBiR1RGXMm0J9tOp/MpFDVkTEtD0gsvAELA5+674Xv/fXKHRETUZDCxIyqjc5g3Ajw00BnM2J+YLXc4DY6wWJD84oswZ2VB264dgl9+CZIkyR0WEVGTwcSOqAyFQsINrQMAWK/aUfVkfvoZdDviIbm6otmC+VBoeQMKEVF9YmJHdJUBbQIBAFv/zZA5koal6OBBpL//PgAg5L8vQxsVJXNERERNDxM7oqsMaGO9Ync0KReZBXqZo2kYLMXFSHrhRcBshtett8L7zjvlDomIqEliYkd0lSAvF7QP8YQQwD9nM+UOp0HIWPR/MFy4AFVQEEJee5Xj6oiIZMLEjqgCA9uWdsdynN31FB8/jsxlywAAIa/OgpKTehMRyYaJHVEFSsfZbTudDj6cpXLCZELSf/8LmM3wHDYMnkOGyB0SEVGTxsSOqAI9W/rCRa1Aap4e/6YWyB2O08pa8QX0x09A4e2NkP++LHc4RERNHhM7ogq4qJWIjfQHwGlPKmNMTUPGokUAgODnnoUqIEDmiIiIiIkdUSVK747dwnF2FUp7711YCgvhEhPNu2CJiJwEEzuiSpTeQLE7IQvFRrPM0TiXwv37kffzL4AkIeS//4Wk4I8SIiJnwJ/GRJVoHeSBEC8X6E0W7DmfJXc4TkMIgdQ5bwMAvMfcCdcuXWSOiIiISjGxI6qEJEno19o6zm4H57Ozyd+wAcVHjkByc0PQ9Olyh0NERGUwsSO6hr5R1sQunokdAECYzbbHhvlNmsgbJoiInAwTO6Jr6NvKmtgduZyLAr1J5mjkl/vzLzCcOQuFtzf8p0yROxwiIroKEzuia2ju64ZwP1eYLaLJj7OzGAzI+PBDAEDAQ1P5hAkiIifExI7oOkq7Y3c28e7YnJWrYExKgiowEL733it3OEREVAEmdkTXUdodG3+u6SZ2lqIiZCxZAgAIeOJxKFxdZY6IiIgqwsSO6Dr6RllvEDh6ORd5xUaZo5FHzpo1MGdmQt2sGXzGjJE7HCIiqgQTO6LrCPF2QWSAOywC2H2u6Y2zE0Yjsj5bBgDwe/ABSGq1zBEREVFlmNgRVUGfqKbbHZu3bh2MSUlQ+vvDh48OIyJyakzsiKrANs6uid1AIYRA5sefAAD8Jk6EwsVF5oiIiOhamNgRVUGfKD8AwImUPOQUGmSOpv4UbNkC/enTULi7w3fCeLnDISKi62BiR1QFQZ4uaB3kASGAnU1onF3mJ58CAHwnjOe8dUREDQATO6Iqss1n10TG2RXu34+iffsgqdXwnThR7nCIiKgKmNgRVVFsSXfs7oSmccUu68svAQDeo0dBHRQkczRERFQVTOyIqqh3yyvj7Br7fHbGtDTkr98AAPC97z6ZoyEioqpiYkdURUFeLojwd4MQwL4L2XKHU6dyVq0GTCa49ugBl3bt5A6HiIiqiIkdUTX0Krlqt6cRd8cKoxE5K1cCAHzvmSBzNEREVB1M7IiqoVdLXwDA3vON94pd/oYNMKWnQxkYAK+bb5Y7HCIiqgYmdkTVUHrF7uClHOhNZpmjqRvZX38DAPAdezckjUbmaIiIqDqY2BFVQ2SAOwI8NDCYLDh8KVfucByu+NS/KNy7F1Aq4TPubrnDISKiapI1sdu6dStGjhyJsLAwSJKEtWvXXrP+mjVrcPPNNyMwMBBeXl7o27cv/vzzT7s6r732GiRJslvat29fh0dBTYkkSbardo1x2pPsb61X6zzj4qAODpY5GiIiqi5ZEzudToeYmBgsWrSoSvW3bt2Km2++Gb///jv27duHwYMHY+TIkThw4IBdvU6dOiE5Odm2bN++vS7CpybKdgPF+caV2FmKipD3y68AwMeHERE1UCo5dz58+HAMHz68yvUXLlxo9/mtt97CTz/9hF9++QXdunWzlatUKoSEhDgqTCI7vSOtid2+89kwWwSUCknmiBwjf/16WHQ6qJs3h1vv3nKHQ0RENdCgx9hZLBbk5+fDz8/Prvz06dMICwtDVFQU7r33XiQmJsoUITVG7UM84a5RIl9vwsmUPLnDcZicH9YAALzvvAOSokH/aCAiarIa9E/vd999FwUFBbj77iuDvGNjY7F8+XKsW7cOixcvRkJCAgYMGID8/PxK29Hr9cjLy7NbiCqjUirQPaJxTXtiuHgRhbt2AZIEn9Gj5Q6HiIhqqMEmdt988w1mz56NVatWIajMcyyHDx+OsWPHIjo6GkOHDsXvv/+OnJwcrFq1qtK25syZA29vb9sSHh5eH4dADVjp48V2N5Jxdrk/rgUAuPftC3VYmLzBEBFRjTXIxO67777D1KlTsWrVKsTFxV2zro+PD9q2bYszZ85UWmfmzJnIzc21LRcvXnR0yNTI9Iq88gQKIYTM0dSOMJuR8+OPAADvMXfKHA0REdWGrDdP1MS3336LBx54AN999x1GjBhx3foFBQU4e/Ys7r///krraLVaaLVaR4ZJjVzXcB+olRLS8vVIzCpEhL+73CHVmG7nTpiSk6Hw8oLndf5QIiKqb2azGUajUe4w6pRarYZSqXRIW7ImdgUFBXZX0hISEnDw4EH4+fmhRYsWmDlzJi5fvowvvvgCgLX7ddKkSXj//fcRGxuLlJQUAICrqyu8vb0BAM8++yxGjhyJiIgIJCUl4dVXX4VSqcSECXzmJTmOi1qJLs28sT8xB7sTshp0Ypf3888AAK8Rt0LBP3CIyEkIIZCSkoKcnBy5Q6kXPj4+CAkJgSTVbqYFWRO7vXv3YvDgwbbPM2bMAABMmjQJy5cvR3Jyst0drR9//DFMJhOeeOIJPPHEE7by0voAcOnSJUyYMAGZmZkIDAzEDTfcgJ07dyIwMLB+DoqajF6RftifmIO957MxtmfDHJdpKSpC/voNAADvkbfLHA0R0RWlSV1QUBDc3NxqnfA4KyEECgsLkZaWBgAIDQ2tVXuyJnaDBg265vik0mSt1ObNm6/b5nfffVfLqIiqpkcL652x+xMb7p2xBZs3w1JYCHWzZnDt1lXucIiIAFi7X0uTOn9/f7nDqXOurq4AgLS0NAQFBdWqW7ZB3jxB5AxKpzw5nVaA3KKGOf4j97ffAABeI0Y02r+GiajhKR1T5+bmJnMk9af0WGs7npCJHVENBXho0dLf+o14oAFetTPn5kK3ZSsAa2JHRORsmtIfnI46ViZ2RLVQetVu/4WGl9jlr18PYTRC26YNXNq1lTscIiJyACZ2RLXQvWSc3b4GeMUu99eSbtjbbpM5EiIichQmdkS10KPkit3BxByYLQ1nomJjapr1EWKwTnNCRESOkZ6ejsceewwtWrSAVqtFSEgIhg4din/++ade9t/gJigmciZtgz3hoVWhQG/CqZR8dAzzkjukKslf9wcgBFy7dYOmeXO5wyEiajTGjBkDg8GAFStWICoqCqmpqdi4cSMyMzPrZf9M7IhqQamQ0K2FD7adzsC+xOwGk9jl/vY7AN40QUTkSDk5Odi2bRs2b96MgQMHAgAiIiLQu3fveouBiR1RLXVr4YttpzOw/0I27u8TIXc412VMSkLx4cOAJMFr6C1yh0NEVCVCCBQZzfW+X1e1ssp3rHp4eMDDwwNr165Fnz59ZHlcKRM7oloqHWfXUCYqzt9gfdKEa4/uUPGJLETUQBQZzeg468963+/x14fCTVO1dEmlUmH58uV46KGHsGTJEnTv3h0DBw7E+PHjER0dXceRWvHmCaJa6hruA0kCLmQWIj1fL3c415X/13oAgNfNN8scCRFR4zNmzBgkJSXh559/xrBhw7B582Z079693NO06ookrvVMryYqLy8P3t7eyM3NhZdXwxgzRfIaumArTqXmY+n9PTC0U4jc4VTKlJGB0wNuBIRA6783Qh0WJndIRETlFBcXIyEhAZGRkXBxcQHQMLpiKzN16lSsX78eFy5cqLRORcdcqjp5CbtiiRyge4QvTqXmY/+FbKdO7PI3/g0IAZfOnZnUEVGDIklSlbtEnU3Hjh2xdu3aetkXu2KJHKB7Cx8Azj/OLn+9tRvWk92wREQOl5mZiZtuuglfffUVDh8+jISEBKxevRrz5s3DqFGj6iWGhpn6EjmZ0hsoDl3KhcFkgUblfH8zmXNzodu5EwDgeQsTOyIiR/Pw8EBsbCwWLFiAs2fPwmg0Ijw8HA899BBeeumleomBiR2RA0QGuMPXTY3sQiOOJeWiW8mjxpxJwebNgMkEbZvW0EZGyh0OEVGjo9VqMWfOHMyZM0e2GJzvsgJRAyRJUplpT3LkDaYSeX+xG5aIqLFjYkfkIKVX6fZfcL5xdhadDrrt2wEAnrdwUmIiosbKYYldTk6Oo5oiapBKr9jtvZAFZ5tFqGDHDgi9HurmzaFt107ucIiIqI7UKLGbO3cuVq5caft89913w9/fH82aNcOhQ4ccFhxRQxLT3AdKhYTUPD2ScovlDsdOwebNAACPmwbXej4mIiJyXjVK7JYsWYLw8HAAwPr167F+/Xr88ccfGD58OJ577jmHBkjUULhqlOgUZp040pm6Y4XFgoItWwEAnoMGyRsMERHVqRrdFZuSkmJL7H799VfcfffduOWWW9CyZUvExsY6NECihqR7C18cvpSLfReyMTLGOSYALj56FOaMDCjc3eHWs6fc4RARUR2q0RU7X19fXLx4EQCwbt06xMXFAbA+7sNsrv/HfRA5i+62O2Od54pdaTes+w03QNJo5A2GiIjqVI2u2N15552455570KZNG2RmZmL48OEAgAMHDqB169YODZCoISl9AsXxpDwUG81wUSvlDQhA/qbNAAAPdsMSETV6Nbpit2DBAkybNg0dO3bE+vXr4eHhAQBITk7G448/7tAAiRqSZj6uCPLUwmQROHwpV+5wYExJgf7ECUCS4DHwRrnDISKiOlajK3ZqtRrPPvtsufKnn3661gERNWSSJKF7C1+sO5aC/YnZ6B3pJ2s8pd2wrjExUPnJGwsREdW9Kid2P//8c5Ubvf3222sUDFFj0CPCmtjtc4I7YwtKu2EHD5Y3ECKiJmLy5MlYsWJFufKhQ4di3bp1db7/Kid2o0ePrlI9SZJ4AwU1ad0jfAAABxKzIYSQbd44S1ERdDt3AuD4OiKi+jRs2DB8/vnndmVarbZe9l3lxM5isdRlHESNRqcwb6iVEjIKDLiYVYQW/m6yxKGL3wmh10MVFgpt2zayxEBE1BRptVqEhITIsu8ajbEjosq5qJXo3MwbBxJzsC8xS7bErnR8necgPm2CiBoBIQBjYf3vV+0GNKCfoTVO7HQ6HbZs2YLExEQYDAa7df/5z39qHRhRQ9a9hS8OJOZg/4Uc3NGteb3vXwhx5TFigwfV+/6JiBzOWAi8JcPE7y8lARr3am3y66+/2mYMsTXz0kt46aWXHBlZhWqU2B04cAC33norCgsLodPp4Ofnh4yMDLi5uSEoKIiJHTV53Vv44jMkyDZRsf7UKZjS0iC5usKtd29ZYiAiaqoGDx6MxYsX25X51dPMBDVK7J5++mmMHDkSS5Ysgbe3N3bu3Am1Wo377rsPTz31lKNjJGpwSm+gOJmSD53eBHdt/Y560G3fDgBw690LinoasEtEVKfUbtarZ3Lst5rc3d1le2BDjX7bHDx4EEuXLoVCoYBSqYRer0dUVBTmzZuHSZMm4c4773R0nEQNSqi3K8K8XZCUW4xDl3LQr1VAve6/4J9/AAAe/W+o1/0SEdUZSap2l2hTVKMnT6jVaigU1k2DgoKQmJgIAPD29rY9Q5aoqetW8tzYA4k59bpfS2EhivbuA2B9PiwREdUvvV6PlJQUuyUjI6Ne9l2jK3bdunXDnj170KZNGwwcOBCzZs1CRkYGvvzyS3Tu3NnRMRI1SN1b+OK3w8nYX88TFRfu2QNhNEIVFgpNZMt63TcREQHr1q1DaGioXVm7du1w8uTJOt93ja7YvfXWW7aA//e//8HX1xePPfYY0tPT8fHHHzs0QKKGqnsLHwDA/pKJiutL2W5YTnNCRFS/li9fDiFEuaU+kjqgholdz549MbjkEUVBQUFYt24d8vLysG/fPsTExFS5na1bt2LkyJEICwuDJElYu3btdbfZvHkzunfvDq1Wi9atW2P58uXl6ixatAgtW7aEi4sLYmNjsXv37irHROQoncK8oVEpkF1oREKGrt72q9tuTezc+/evt30SEZFzqFFi5yg6nQ4xMTFYtGhRleonJCRgxIgRGDx4MA4ePIjp06dj6tSp+PPPP211Vq5ciRkzZuDVV1/F/v37ERMTg6FDhyItLa2uDoOoQhqVAtHNvAEA++tpnJ0xKQmGc+cAhQLuffvUyz6JiMh51GiMXWRk5DW7eM6dO1eldoYPH47hw4dXeb9LlixBZGQk3nvvPQBAhw4dsH37dixYsABDhw4FAMyfPx8PPfQQpkyZYtvmt99+w7Jly/Diiy9WeV9EjtA9whd7L2Rjf2I27upR9xMVl3bDukZHQ+ntXef7IyIi51KjxG769Ol2n41GIw4cOIB169bhueeec0RcFYqPj0dcXJxd2dChQ23xGAwG7Nu3DzNnzrStVygUiIuLQ3x8fKXt6vV66PV62+e8vDzHBk5NVvcW1jtj6+sGCt0/OwCwG5aIqKmqUWJX2STEixYtwt69e2sV0LWkpKQgODjYriw4OBh5eXkoKipCdnY2zGZzhXWuNWhxzpw5mD17dp3ETE1b6UTFp1LzkV9shKeLus72Jcxm6Er+gHG/gYkdEVFT5NAxdsOHD8cPP/zgyCbrxcyZM5Gbm2tbOBcfOUqQpwua+7pCCODQxdw63VfxkSOw5OZC4ekJ1y5d6nRfRETknBz6nKPvv/++Tp+FFhISgtTUVLuy1NRUeHl5wdXVFUqlEkqlssI6ISEhlbar1Wqh5WOXqI50b+GLS9lF2HchGze0qbsnUJSOr3Pv2xeSqn4fYUZERM6hxhMUl715QgiBlJQUpKen4//+7/8cFtzV+vbti99//92ubP369ejbty8AQKPRoEePHti4cSNGjx4NALBYLNi4cSOmTZtWZ3ERXUuPCF/8fCgJ+xPrdpwdpzkhIqIaJXalSVMphUKBwMBADBo0CO3bt69yOwUFBThz5oztc0JCAg4ePAg/Pz+0aNECM2fOxOXLl/HFF18AAB599FF89NFHeP755/HAAw/g77//xqpVq/Dbb7/Z2pgxYwYmTZqEnj17onfv3li4cCF0Op3tLlmi+lZ6A8WBxGxYLAIKheMnDTbn5aHo8GEAgAfH1xERNVk1SuxeffVVh+x87969tomOAWtSBgCTJk3C8uXLkZycbHsOLWCdZuW3337D008/jffffx/NmzfHp59+apvqBADGjRuH9PR0zJo1CykpKejatSvWrVtX7oYKovrSPtQTLmoF8opNOJtegDbBng7fh27nTsBshiYyEupmzRzePhERNQxVTuyqMwWIl5dXleoNGjTomo9aquipEoMGDcKBAweu2e60adPY9UpOQ61UILq5D3YnZGF/YnbdJHac5oSIyClMnjwZOTk5dk/TGjRoEDZv3lwv+69yYufj41Pl506azeYaB0TUGPWI8LUmdhdyMK5XC4e2LYSAbvt2AJzmhIjIWfzzzz8oKiqym393w4YNcHNzQ79+/epsv1VO7DZt2mR7f/78ebz44ouYPHmy7caF+Ph4rFixAnPmzHF8lEQNnG2i4jq4gcKYmAjj5cuAWg33Xr0c3j4REVVfixYtMGPGDKxZswb5+fl4/PHHkZGRYXt6Vl2pcmI3cOBA2/vXX38d8+fPx4QJE2xlt99+O7p06YKPP/4YkyZNcmyURA1ctxY+AIDTaQXILTTC281xExXrdu0CALjGREPh7u6wdomInIkQAkWmonrfr6vKtco9lmWFh4dj9erVmDlzJvbv34+hQ4fW6cwhpWp080R8fDyWLFlSrrxnz56YOnVqrYMiamwCPLRo6e+G85mFOHAxG4PaBTms7cKd1sTOPbaPw9okInI2RaYixH4TW+/73XXPLrip3aq93eXLl/HMM8/A19cX3bt3R3Z2NsaPH4/33nsPzerwJrcaPXkiPDwcn3zySbnyTz/9FOHh4bUOiqgxutIdm+OwNoUQ0O3eDQBwi+3tsHaJiKh2zp8/j6lTp2Lx4sXw9PTE4sWLMXXqVJw/f75O91ujK3YLFizAmDFj8McffyA21po97969G6dPn26QjxQjqg/dInyx5sBl7L/guHF2hrNnYc7IgKTVwrVrV4e1S0TkbFxVrth1zy5Z9lsT/SuYpaDsjRR1pUaJ3a233op///0XixcvxsmTJwEAI0eOxKOPPsordkSV6F4yzu7gxRyYLQJKB0xUrCvphnXt3g0KjabW7REROStJkmrUJeoM6muqE6AWz4oNDw/HW2+95chYiBq1dsGecNcoUaA34XRaPtqHVG2+x2sp3LUTAMfXERGRVZUTu8OHD6Nz585QKBQ4XPLoospER0fXOjCixkalVCAm3Ac7zmZi/4WcWid2wmKBbvceAIB7n/ofUExERM6nyold165dkZKSgqCgIHTt2hWSJFX41AhJkjhBMVElurfwxY6zmdh3IRv3xNZuomL9yZOw5OZC4eYGl06dHBQhERHVRkVPzapPVU7sEhISEBgYaHtPRNXXPcIHgGMmKtbtst4N69qrJyS14+bFIyKihqvKiV1ERITtfXBwMFxcXOokIKLGrEcLPwBAQoYO6fl6BHpqa9xW4U6OryMiIns1mscuKCgIkyZNwvr162GxWBwdE1Gj5e2mRrtgTwDA3vNZNW5HmEwo3LsXAOevIyKiK2qU2K1YsQKFhYUYNWoUmjVrhunTp2NvyS8ZIrq2XpHWiYr3nK95d2zxsWOw6HRQeHvDpX17R4VGREQNXI0SuzvuuAOrV69Gamoq3nrrLRw/fhx9+vRB27Zt8frrrzs6RqJGpVdLa3fsnlpcsSudv86tV09ISqVD4iIiooavRoldKU9PT0yZMgV//fUXDh8+DHd3d8yePdtRsRE1Sr0jrYndsaRcFOhNNWqD89cREVFFapXYFRcXY9WqVRg9ejS6d++OrKwsPPfcc46KjahRCvV2RXNfV1gEavR4MYvBgML9BwBw/joiIrJXoydP/Pnnn/jmm2+wdu1aqFQq3HXXXfjrr79w4403Ojo+okapV0s/XMq+jD3ns3Bj28BqbVt86BBEcTGU/v7QtG5dRxESEVFDVOMxdkVFRfjiiy+QkpKCpUuXMqkjqobajLMrnb/OPbY3JKn2z5slIqLGo0aJXWpqKlatWoVRo0ZBzYlRiaqtd8mdsQcSc2AwVW/KoNL569w4vo6IyOlMnjwZkiRBkiSo1WpERkbi+eefR3Fxcb3sv8pdsXl5efDysj7bUgiBvLy8SuuW1iOiirUK9ICfuwZZOgOOXM5FjwjfKm1nKSpC4aFDAKxX7IiIyPkMGzYMn3/+OYxGI/bt24dJkyZBkiTMnTu3zvdd5St2vr6+SEtLAwD4+PjA19e33FJaTkTXJkkSekaUzmdX9e7YogMHAKMRqpAQqMs8DYaIiJyHVqtFSEgIwsPDMXr0aMTFxWH9+vX1su8qX7H7+++/4ednHRe0adOmOguIqKno1dIPfx1PxZ6ELDw6sFWVtimdv47j64iIGoajR49ix44ddo9mrUtVTuwGDhxY4XsiqpleJfPZ7b2QDYtFQKG4fqJWuKtkYmKOryOiJkYIAVFUVO/7lVxdq/2H9K+//goPDw+YTCbo9XooFAp89NFHdRShvSondocPH65yo9HR0TUKhqgp6RTmBVe1ErlFRpxOK0C7EM9r1jcXFKDo6FEAHF9HRE2PKCrCqe496n2/7fbvg+TmVq1tBg8ejMWLF0On02HBggVQqVQYM2ZMHUVor8qJXdeuXSFJEoQQ181czWZzrQMjauzUSgW6R/jgnzOZ2H0+67qJXeHevYDZDHV4ONTNmtVTlEREVF3u7u5oXTLP6LJlyxATE4PPPvsMDz74YJ3vu8qJXUJCgu39gQMH8Oyzz+K5555D3759AQDx8fF47733MG/ePMdHSdRI9Wrph3/OZGJPQhbu73Pt8ReFpfPX8WkTRNQESa6uaLd/nyz7rQ2FQoGXXnoJM2bMwD333APXWrZ3PVVO7MoO+hs7diw++OAD3Hrrrbay6OhohIeH45VXXsHo0aMdGiRRY1V2ouLrXQ3X7eL8dUTUdEmSVO0uUWcxduxYPPfcc1i0aBGeffbZOt1XjSYoPnLkCCIjI8uVR0ZG4vjx47UOiqip6NbCByqFhOTcYlzOqXxQsDknB/oTJwEAbr171Vd4RETkACqVCtOmTcO8efOg0+nqdF81Suw6dOiAOXPmwGAw2MoMBgPmzJmDDh06OCw4osbOTaNCp2beAIBd5yqfz063Zw8gBDStWkEdFFRf4RERUTUtX74ca9euLVf+4osvIi0tDe7u7nW6/yp3xZa1ZMkSjBw5Es2bN7fdAXv48GFIkoRffvnFoQESNXZ9o/xx6GIO4s9lYkyP5hXWKSwzfx0REVFlapTY9e7dG+fOncPXX3+Nkyet3UPjxo3DPffcU+eZKFFj07eVP5ZsOYv4s5mVjrMr3M3564iI6PpqlNgB1lt5H374YUfGQtQk9YzwhUoh4XJOES5mFaGFv/3gYFNGBvSnzwDg+DoiIrq2Gid2p0+fxqZNm5CWlgaLxWK3btasWbUOjKipcNeq0DXcB3svZCP+XAZa+LewW68redqEtn17qPgsZiIiuoYaJXaffPIJHnvsMQQEBCAkJMSu60iSJCZ2RNXUt5U/9l7Ixo6zmRjXyz6xs81fF8v564iI6NpqdFfsm2++if/9739ISUnBwYMHceDAAduyf//+are3aNEitGzZEi4uLoiNjcXu3bsrrTto0CDrXDZXLSNGjLDVmTx5crn1w4YNq8mhEtWLvq38AcA2zq4s2/x1nJiYiIiuo0ZX7LKzszF27FiHBLBy5UrMmDEDS5YsQWxsLBYuXIihQ4fi1KlTCKpgWoc1a9bYTbOSmZmJmJiYcvEMGzYMn3/+ue2zVqt1SLxEdaF7C19oVAqk5etxNl2H1kEeAABjcjKMFxIBhQJuPXvKHCURETm7Gl2xGzt2LP766y+HBDB//nw89NBDmDJlCjp27IglS5bAzc0Ny5Ytq7C+n58fQkJCbMv69evh5uZWLrHTarV29Xw5NomcmItaie4tfAAA8ecybeWl4+tcOneG0vPaz5IlIiKq0RW71q1b45VXXsHOnTvRpUsXqNVqu/X/+c9/qtSOwWDAvn37MHPmTFuZQqFAXFwc4uPjq9TGZ599hvHjx5ebZmXz5s0ICgqCr68vbrrpJrz55pvw9/evUptEcujXKgA7z2Uh/myG7bmxnL+OiIiqo0aJ3ccffwwPDw9s2bIFW7ZssVsnSVKVE7uMjAyYzWYEBwfblQcHB9vmx7uW3bt34+jRo/jss8/syocNG4Y777wTkZGROHv2LF566SUMHz4c8fHxUCqV5drR6/XQ6/W2z3l5eVWKn8iR+rbyB9YDO89lwWIRkCRAx/nriIioGmqU2CUkJDg6jhr57LPP0KVLF/TubX81Y/z48bb3Xbp0QXR0NFq1aoXNmzdjyJAh5dqZM2cOZs+eXefxEl1LTHMfuKqVyNIZ8G9aPqIMOTAlJQNqNdy6d5M7PCIiqoLJkydjxYoVAKzPiPXz80N0dDQmTJiAyZMnQ6Go0Si4KqtyYjdjxgy88cYbcHd3x4wZMyqtJ0kS3nvvvSq1GRAQAKVSidTUVLvy1NRUhISEXHNbnU6H7777Dq+//vp19xMVFYWAgACcOXOmwsRu5syZdseUl5eH8PDwKh0DkaNoVAr0bOmLbaczsONMJoKT9gAAXKOjoXBzu87WRETkLEpv4DSbzUhNTcW6devw1FNP4fvvv8fPP/8MlarG0whfV5VbPnDgAIxGo+19ZSp6HFJlNBoNevTogY0bN2L06NEAAIvFgo0bN2LatGnX3Hb16tXQ6/W47777rrufS5cuITMzE6GhoRWu12q1vGuWnEK/VgHWxO5sBoYe5vx1REQNUekNnADQrFkzdO/eHX369MGQIUOwfPlyTJ06tc72XeXEbtOmTRW+r60ZM2Zg0qRJ6NmzJ3r37o2FCxdCp9NhypQpAICJEyeiWbNmmDNnjt12n332GUaPHl3uhoiCggLMnj0bY8aMQUhICM6ePYvnn38erVu3xtChQx0WN1FdGNAmAHPXATvOZEC3k/PXERE1FjfddBNiYmKwZs0a50js6sq4ceOQnp6OWbNmISUlBV27dsW6detsN1QkJiaW648+deoUtm/fXuGUK0qlEocPH8aKFSuQk5ODsLAw3HLLLXjjjTd4VY6cXsdQLwR4aOCWlAhzZiYkrRauXbvKHRYRkeyEEDAZLNev6GAqjaJavZHX0r59exw+fNghbVVG9sQOAKZNm1Zp1+vmzZvLlbVr167c7PylXF1d8eeffzoyPKJ6o1BIGNAmEMbD1qvirt26QaHRyBwVEZH8TAYLPn5qy/UrOtjD7w+EWlt+Ro2aEEI4LEmsjFMkdkR0xcC2gUhPPwMAcO/DaU6IiBqLEydOIDIysk73wcSOyMn0b+WHhAxrYqeP5jQnRESAtUv04fcHyrJfR/j7779x5MgRPP300w5przJM7IicjOelBHgai1Co0uK4Khhj5A6IiMgJSJLksC7RuqbX65GSkmI33cmcOXNw2223YeLEiXW6byZ2RE5GV/IYsSP+Udh/NgtjekfIHBEREVXHunXrEBoaCpVKBV9fX8TExOCDDz7ApEmTnGeCYiKqH7pd1mlODgW2xvYzGbBYBBSKuh1sS0REjrF8+XIsX75ctv3XbdpIRNUijEYU7dkLADgd1g5ZOgOOJuXKHBURETUUTOyInEjR0aOwFBZC6e2NsB5dAABbTqXLHBURETUUTOyInEjhLuv4OrfYWAxsb52ke+tpJnZERFQ1TOyInEjpjRNufWJxY5tAAMD+xBzkFBrkDIuIiBoIJnZETsKi16No/34A1omJw/3c0C7YE2aLwKZTaTJHR0REDQETOyInUXTgIITBAFVgIDQlM5Pf3NHaHbv+eKqcoRERyaKyx4c2Ro46ViZ2RE6idJoTtz59bM8SLE3stpxKh95kli02IqL6pFarAQCFhYUyR1J/So+19NhrivPYETmJwpLxde59Ym1lXZp5I8hTi7R8PeLPZmJQuyC5wiMiqjdKpRI+Pj5IS7MOQ3Fzc7P9wdvYCCFQWFiItLQ0+Pj4QKms3dM1mNgROQFzgQ5FR44AANxi+9jKFQoJcR2D8c2uRKw/nsrEjoiajJCQEACwJXeNnY+Pj+2Ya4OJHZETKNq/DzCZoG7eHJrmzezW3VyS2G04kYo3RnXmUyiIqEmQJAmhoaEICgqC0WiUO5w6pVara32lrhQTOyInUHaak6v1a+UPd40SqXl6HLmci5hwn3qOjohIPkql0mFJT1PAmyeInEDhTuuNE+5lumFLaVVKDGxnndNuwwneHUtERJVjYkckM3NODopPnAAAuMX2rrAOpz0hIqKqYGJHJDPdnj2AENBERUEdVPHNEYPbBUGpkHAyJR+JmU3n9n8iIqoeJnZEMqtompOr+bhp0LulHwBg3bHkeomLiIgaHiZ2RDLTlYyvc6tgfF1Zt0aHAgB+PczEjoiIKsbEjkhGxuRkGM6eBRSKa16xA4DhnUOgkIDDl3LZHUtERBViYkckI92OHQAAly6dofT2vmbdAA8t+rUKAAD8eiSpzmMjIqKGh4kdkYx0/1gTO4/+/atUf0RJd+xv7I4lIqIKMLEjkomwWGxX7Nz79avSNsM6hUClkHAsKQ8JGbq6DI+IiBogJnZEMik+fgLmnBwo3NzgGhNTpW183TXo39raHfvLIXbHEhGRPSZ2RDIpvVrn1qcPJLW6ytvdHhMGAPjxwGUIIeokNiIiapiY2BHJRPfPPwCq3g1baljnELhplEjI0GF/Yk4dREZERA0VEzsiGVgKC1G4fz8AwL1/9RI7d60Kwztbb6L4Yf8lh8dGREQNFxM7IhkU7t0LGI1QhYVC07Jltbcf070ZAODXQ0koNpodHB0RETVUTOyIZFDaDevRvz8kSar29n2i/NHMxxV5xSZsOJHq6PCIiKiBYmJHJAPbNCdVnL/uagqFhDu6Wa/a/bCP3bFERGTFxI6onhlTU6E/fQaQJLjFXvsxYtdyZ0l37NbTGUjLL3ZUeERE1IAxsSOqZ6VPm3Dp3BkqX98atxMV6IHuLXxgtgh8z6t2REQEJnZE9e5KN2z17oatyD2xEQCAb3YlwmzhnHZERE0dEzuielSTx4hdy23RofB2VeNSdhG2/pte6/aIiKhhc4rEbtGiRWjZsiVcXFwQGxuL3bt3V1p3+fLlkCTJbnFxcbGrI4TArFmzEBoaCldXV8TFxeH06dN1fRhE11V84gTMWVmQ3Nzg1rVrrdtzUSsxtkdzAMCXOy/Uuj0iImrYZE/sVq5ciRkzZuDVV1/F/v37ERMTg6FDhyItLa3Sbby8vJCcnGxbLlyw/4U2b948fPDBB1iyZAl27doFd3d3DB06FMXFHGBO8tJt2wYAcI+NhaTROKTNe/tYu2M3nUrDxaxCh7RJREQNk+yJ3fz58/HQQw9hypQp6NixI5YsWQI3NzcsW7as0m0kSUJISIhtCQ4Otq0TQmDhwoX473//i1GjRiE6OhpffPEFkpKSsHbt2no4IqLKFWzeAgDwGDjQYW1GBrhjQJsACAF8vSvRYe0SEVHDI2tiZzAYsG/fPsTFxdnKFAoF4uLiEB8fX+l2BQUFiIiIQHh4OEaNGoVjx47Z1iUkJCAlJcWuTW9vb8TGxlbapl6vR15ent1C5Gim7GwUHToEAPAYeKND257UtyUA4OtdF1CgNzm0bSIiajhkTewyMjJgNpvtrrgBQHBwMFJSUircpl27dli2bBl++uknfPXVV7BYLOjXrx8uXbJO91C6XXXanDNnDry9vW1LeHh4bQ+NqBzd9u2AENC2bQt1aKhD276pfRCiAt2RX2zCyj0XHdo2ERE1HLJ3xVZX3759MXHiRHTt2hUDBw7EmjVrEBgYiKVLl9a4zZkzZyI3N9e2XLzIX4zkeAVbtgJw/NU6wPokiocGRAEAlm1PgNFscfg+iIjI+cma2AUEBECpVCI11f5Zl6mpqQgJCalSG2q1Gt26dcOZM2cAwLZdddrUarXw8vKyW4gcSZjNthsnHDm+rqw7ujVDgIcGl3OK8PuR5DrZBxEROTdZEzuNRoMePXpg48aNtjKLxYKNGzeib9++VWrDbDbjyJEjCC3p2oqMjERISIhdm3l5edi1a1eV2yRytKJDh2HOzYXCywuuDpjmpCIuaqVtrN3HW89BCE5YTETU1MjeFTtjxgx88sknWLFiBU6cOIHHHnsMOp0OU6ZMAQBMnDgRM2fOtNV//fXX8ddff+HcuXPYv38/7rvvPly4cAFTp04FYL1jdvr06XjzzTfx888/48iRI5g4cSLCwsIwevRoOQ6RCAVbS+6GvaE/JJWqzvZzX58IuKgVOJaUh+1nMupsP0RE5Jzq7jdMFY0bNw7p6emYNWsWUlJS0LVrV6xbt85280NiYiIUiiv5Z3Z2Nh566CGkpKTA19cXPXr0wI4dO9CxY0dbneeffx46nQ4PP/wwcnJycMMNN2DdunXlJjImqi+l4+vcb3T8+LqyfN01GN+rBZbvOI+FG07jhtYBkCSpTvdJRETOQxLsryknLy8P3t7eyM3N5Xg7qjVjairODBwESBLabN8Glb9/ne4vLa8YA+Ztgt5kwYoHemNg28A63R8REdWt6uQlsnfFEjV2pTdNuHTpUudJHQAEebng/pKnUcxf/y/H2hERNSFM7IjqWP7fmwDUzTQnlXlkYCu4qpU4dDEHf5+s/PF8RETUuDCxI6pDlsJC6P75BwDgOWRIve030FOLif2sV+3e/uMkTJzXjoioSWBiR1SHdDt2QOj1UDdrBm27dvW678cHtYavmxqn0wrw7W4+Q5aIqClgYkdUh/I3WOdT9IwbUu93p3q7qvH0zW0BWMfa5RYZ63X/RERU/5jYEdURYTKhYFPJ+Lp67IYt657eLdAmyAPZhUZ8uPG0LDEQEVH9YWJHVEcK9+2HOTcXSh8fuHXvLksMKqUCL4/oAABYEX8e59ILZImDiIjqBxM7ojqSv3EDAMBj8OA6fdrE9QxqF4RB7QJhNAu89OMRTn9CRNSIMbEjqgNCCBSUGV8nt9dv7wwXtQI7z2Vh1d6LcodDRER1hIkdUR3QnzwJY1ISJBcXuPfrJ3c4aOHvhmdutt6V+7/fTiAtr1jmiIiIqC4wsSOqA6V3w7rf0B8KV1eZo7Ga0r8lujTzRl6xCS+uYZcsEVFjxMSOqA7kbyzphr1J/m7YUiqlAu+MjYZGpcDfJ9PwRfwFuUMiIiIHY2JH5GD6hAToT54EVCp4DB4kdzh22od44aXh7QEA//v9BE4k58kcERERORITOyIHy/vjDwCAe9++UPn6yhxNeZP6tcRN7YNgMFnwn28PoMhgljskIiJyECZ2RA6WX5LYeQ0fLnMkFZMkCe/cFY1ATy1OpxXghR8Oc7wdEVEjwcSOyIH0p09Df/oMJLXaKaY5qYy/hxYfjO8GpULCz4eSsHTrOblDIiIiB2BiR+RAtm7YG26A0stL5miurW8rf7w2siMAYO66k9hwPFXmiIiIqLaY2BE5iBACeb+XdMPe6pzdsFe7r08EJvRuASGAJ77Zjz3ns+QOiYiIaoGJHZGD6E+ehOH8eUgaDTwG3yR3OFUiSRJeH9UJN7UPgt5kwQPL9/BOWSKiBoyJHZGDlF6t8xh4I5Qe7jVqo9BYiEPph7Du/Dr8cvYXbL20Fedyz8EiLI4M1Y5aqcCie7qjZ4Qv8otNmLhsN86lF9TZ/oiIqO7I92RyokZECGEbX1fdu2H1Zj1+O/cbfj/3O/am7oVZlJ9+xN/FHzc2vxF3t7sbnQM6OyTmslw1Snw2uRfGLY3HyZR83L10J758sDc6hDr3OEEiIrInCc5zUE5eXh68vb2Rm5sLLycfAE/OoejwYZy/exwkV1e0/Wc7FG5u193GIiz4/t/vsfTQUqQVpdnKA1wD0MKzBTRKDbKLs5GYn4giU5Ftfa+QXniu53Po4N/B4ceRUaDHxM9243hyHrxd1Vg2uRd6RDjfXHxERE1JdfISXrEjcoDctWsBAJ5DhlQpqUvITcAr/7yCQ+mHAADBbsEY3348hkYMRbhXuF1do9mIA2kH8NPZn/BHwh/Yk7IH434dh3s63IOnuj8FV5XjnkUb4KHFtw/3weTPd+NAYg4mfLIT79wVjVFdmzlsH0REVHd4xa4CvGJH1WHR63H6xoGw5OaixbLP4N6v3zXr/5HwB17b8RoKTYVwV7vjyW5PYmzbsdAoNdfdV3JBMhbuX4jfE34HALT0aokFgxagtW9rhxxLKZ3ehKe+O4gNJ6xToPznptaYHtcWCoXk0P0QEdH1VScv4c0TRLVUsGkTLLm5UIWGwi02ttJ6QggsPbQUz299HoWmQvQK6YW1o9bi3g73VimpA4BQj1DMvXEulsQtQZBrEM7nncc9v9+DjRc2OupwAADuWhWW3t8Dj9wYBQD44O8zmLJ8DzIL9A7dDxERORYTO6JayvnxRwCA96jbISmVFdaxCAvm7ZmHjw5+BACY0nkKPrn5E4S4h9Ron/2b9cf3t3+P2JBYFJmK8PTmp/H9v9/X7AAqoVRImHlrB7xzVzS0KgW2/JuO4e9vw5Z/0x26HyIichwmdkS1YExLg27bdgCAz+jRFdYRQmDennn46sRXAIAXer2AGT1mQKmoOAmsKl8XXyy5eQnuansXBARmx8/G50c/r1WbFRnbMxw/T7sBbYI8kJavx6RluzFj5UFk6QwO3xcREdUOEzuiWsj75RfAYoFr9+7QtGxZYZ2lh5fi6xNfQ4KEN/u/ifs63uew/asUKszqMwsPdn4QADB/33wsPrjYYe2XahfiiZ+m9ceDN0RCIQFrDlxG3PwtWL33IswWDtMlInIWTOyIakgIcaUb9o7RFdb57uR3WHRwEQDgxd4vYlTrUQ6PQ5IkTO8xHdO7TwcA/N+h/8N3J79z+H7cNCq8cltHrHm8P9qHeCJLZ8Bz3x/GiA+2YfOpNPA+LCIi+TGxI6qh4qNHYThzFpKLC7yGDSu3fvPFzXhr11sAgMdjHsc9He6p03ge7PIgHo95HADw1q63sO78ujrZT9dwH/zy5A2YObw9PF1UOJmSj8mf78GET3Zi2+l0JnhERDJiYkdUQznf/wAA8Lz5Zig9Pe3Wncs5hxe3vQgBgbFtx+LRmEfrJaZHYx7FuHbjICAwc9tMxCfF18l+1EoFHhnYClufG4yHBkRCo1Rg57ks3P/Zbgx/fxt+2HcJelP5J2gQEVHd4jx2FeA8dnQ95oICnL5xIERhIVqsWAH32N62dbn6XNz7+724kHcBPYN74uNbPoZaoa6/2CxmPL/1efx14S+4q93x1fCvHD7P3dUu5xTh023nsHLPRRQarAmdj5sao7s2w109mqNzM+863T8RUWNWnbyEiV0FmNjR9WR9/TVS33gTmlatEPXrL5Ak68S9ZosZT2x8Av8k/YMw9zB8e9u38HPxq/f4DGYDHt3wKPak7EFzj+b4dsS38HHxqfP95hQa8PWuRHwZfwEpecW28jZBHhjaKQS3dApGl2betvNFRETXx8SulpjY0bUIIZBw++3Qnz6D4Jdfht/9V+5yfX//+/j0yKdwVbnii+FfoL1fe9nizC7OxoTfJuBywWX0CumFpTcvrbcrh2aLwLbT6Vi99xLWH0+FwWyxrQvxcsGQDkHo1yoAvSJ9EeTpUi8xERE1VEzsaomJHV1L4d69uHDf/ZBcXdFm6xbb+Lp/Lv+DRzdYx9K9c+M7GBZZ/oaK+nYm+wzu/f1eFJoKcXfbu/FK31fqPYbcQiM2nUrDX8dTsOVUOnQG+7F3UQHuiI3yQ88IP3Rq5oVWgR5QKzn8l4ioVIN7pNiiRYvQsmVLuLi4IDY2Frt376607ieffIIBAwbA19cXvr6+iIuLK1d/8uTJkCTJbhlWwV2LRDWR/c23AADv20bYkrq0wjS8tP0lAMC4duOcIqkDgNa+rTHvxnmQIGHVv6vw7clv6z0Gbzc1Rndrhv+7twf2vXIzPp/cC5P6RqBDqBckCTiXocO3uy/imdWHMGzhNnSa9SdGfLANz64+hM+2J2Db6XRczCqEqcxVPyIiqpjsV+xWrlyJiRMnYsmSJYiNjcXChQuxevVqnDp1CkFBQeXq33vvvejfvz/69esHFxcXzJ07Fz/++COOHTuGZs2aAbAmdqmpqfj88yuz8Gu1Wvj6+lYpJl6xo8oYk5NxJu5mwGxG5Jof4NKxI8wWMx5a/xD2pOxBW9+2+GbEN9AqtXKHamfZ0WVYsG8BVJIKn9zyCXqG9JQ7JADWq3l7L2Rhd0IW9l3IxsmUfBToTRXWVSslhPu6IcLfDc193RDi7YJgLxeEeLkgxFuLYC8XeLrU300qRET1pUF1xcbGxqJXr1746CPrMzQtFgvCw8Px5JNP4sUXX7zu9mazGb6+vvjoo48wceJEANbELicnB2vXrq1RTEzsqDKpc+ch6/PP4RYbi4gVywEAiw8uxv8d+j+4qlyx8raViPSOlDfICggh8MK2F/BHwh/wc/HDyttW1vg5tXXJYhG4lF2E48l5OFGyJGTocCGrEAbT9a/YuagV8HHVwMdNDW9XdZlXje2zj6sGHi4quKgUcNUo4aJWwkWlhItGYXuvVkq8wYOInEZ18hJVPcVUIYPBgH379mHmzJm2MoVCgbi4OMTHV23+rcLCQhiNRvj52d95uHnzZgQFBcHX1xc33XQT3nzzTfj7+zs0fmpazAUFyFm9GgDgN2UyAOBA2gEsObwEAPBKn1ecMqkDrE+nmN1vNs7lnMOp7FOYsXkGlg9bDo1SI3dodhQKCS383dDC3w3DOl9JPC0WgZS8YpzP1OF8RiGSc4uQkluMlLxi22t+sQnFRgtSjMV2d+TWhFIhwUVVkuiplXBRW9+7qpXQqBRQKiTrIklX3pddJAkqpQSFZF+mVJasU0hQKK56LSm31ldAkgAJQGl+KcFaYC2TbOus9ayVbHXLrodUpo3SOlKZ9ku3vrJ9VVSrLqqZJFer7Wo2XY3Aq992NepWu3Vydn1b+UOpkP//VdbELiMjA2azGcHBwXblwcHBOHnyZJXaeOGFFxAWFoa4uDhb2bBhw3DnnXciMjISZ8+exUsvvYThw4cjPj4eSmX5B6/r9Xro9Xrb57y8vBoeETVmOau/h6WgAJqoKHjceCPyDfmYuW0mLMKCkVEjMbLVSLlDvCZXlSsWDF6A8b+Ox5GMI3hr11t4rd9rcodVJQqFhDAfV4T5uKJfq4rr6PQmZOkMyC0yIqfQiJwiA3IKjSWfy5QXGlGgN6HYZEaxwYxikwXFRjOKjGaU9l+YLQI6g7ncjR5ERJU5/vpQuGlkTasAyJzY1dbbb7+N7777Dps3b4aLy5UpE8aPH29736VLF0RHR6NVq1bYvHkzhgwZUq6dOXPmYPbs2fUSMzVMwmhE1hdfAAD8Jk+CpFDgrV1v4XLBZTTzaIaXYl+SOcKqCfcMx7wb5+GxDY/hh9M/oFNAJ4xtO1busBzCXauCu1aF8BpuL4SAwWxBscGCYpMZRQazNfkzWq68N5hhMFtgtogrixD2n0vLzNdYd3XZVeUmiyhJMkVJbNZ3QoiS1yufr8QPCFi3s3tvq2BfdnVb1TxZVa9ad01DVLP1arVdzcCrU52TUTROCicZviFrYhcQEAClUonU1FS78tTUVISEXHv8z7vvvou3334bGzZsQHR09DXrRkVFISAgAGfOnKkwsZs5cyZmzJhh+5yXl4fw8Jr+eqDGKO/Pv2BKTobS3x/eo0bht3O/4ddzv0IhKfD2gLfhofGQO8Qq69+sP/7T/T94f//7eGvXW2jj0wZdg7rKHZbsJEmCVqWEVqWEN3gTBhE1TLJOd6LRaNCjRw9s3LjRVmaxWLBx40b07du30u3mzZuHN954A+vWrUPPnte/u+/SpUvIzMxEaGhoheu1Wi28vLzsFqJSwmJB5tKlAADfeyYg2ZiBN3e+CQB4JPqRBpkUPdj5QdwccTNMFhNmbJ6B9MJ0uUMiIiIHkH0euxkzZuCTTz7BihUrcOLECTz22GPQ6XSYMmUKAGDixIl2N1fMnTsXr7zyCpYtW4aWLVsiJSUFKSkpKCgoAAAUFBTgueeew86dO3H+/Hls3LgRo0aNQuvWrTF06FBZjpEatvwNG6A/fRoKDw943zMBL217CQXGAkQHRuPh6IflDq9GJEnCG/3fQCvvVkgvSsczW56B0WyUOywiIqol2RO7cePG4d1338WsWbPQtWtXHDx4EOvWrbPdUJGYmIjk5GRb/cWLF8NgMOCuu+5CaGiobXn33XcBAEqlEocPH8btt9+Otm3b4sEHH0SPHj2wbds2aLXONbcYOT9hsSDj/xYDAHzvvw/LL36P/Wn74a52x9sD3oZK0XCHqbqr3bFw8EJ4qD1wIO0A5u2ZJ3dIRERUS7LPY+eMOI8dlcrfuBGXnpgGhZsb9Ks+wMQdT8AszHjrhrec/i7YqtpycQum/T0NAPBG/zcwuvVoeQMiIiI7De6RYkTOSFgsSP/QOnG2+4S78fyhN2AWZgxrOQy3Rd0mc3SOMzB8IB6PeRwA8Eb8GziWcUzmiIiIqKaY2BFVIvfnn6E/eRIKDw8s7njZNrXJrL6zGt1TCR6JeQSDmg+CwWLA9M3TkVmUKXdIRERUA0zsiCpgKS5G+vsfAACSx/TDzxmboJJUmHvjXHhqPGWOzvEUkgJvDXgLLb1aIkWXgue2PgeTpeJnthIRkfNiYkdUgawvv4QpORkIDsRLIf8AAJ7s/iRiAmNkjqzueGo8sXDwQrip3LAnZQ/m75svd0hERFRNTOyIrmLKzkbm0o8BAKsHqpCv0KNfWD9M7jRZ3sDqQSufVvjfDf8DAHx5/Ev8du43mSMiIqLqYGJHdJWMDz+CpaAAOS188X1UGvxd/PG/G/4HhdQ0vl3iIuIwtctUAMBrO17DyayqPbeZiIjk1zR+UxFVUdGxY8j+7jsAwPv9cyEkCW8NeAsBrgEyR1a/pnWdhv5h/VFsLsb0TdORXZwtd0hERFQFTOyISgiLBSmvvw5YLNjZSYVjLRV4sPOD6BfWT+7Q6p1SocTcG+eiuUdzXC64jCf/fhLFpmK5wyIioutgYkdUIuf771F86DCKtRI+HywQGxqLad2myR2WbLy13lg0ZBG8NF44lH4IL257EWaLWe6wiIjoGpjYEQEwpqQg7R3rY+m+u0GCS0gY5t04r0E/MswRonyi8P7g96FWqLExcSPe3fuu3CEREdE1MLGjJk8IgeSX/wtLfj5OhwJ/99ZiwaAF8HPxkzs0p9AzpKftTtmvTnyF5UeXyxsQERFViokdNXk5q1ZD988/MKiARSOVeKnfK+gU0EnusJzK8MjheKbHMwCA9/a9hx/+/UHmiIiIqCJM7KhJM1y6hOS33wIAfDtQgZtuuB93tLlD5qic0+TOk/FA5wcAALPjZ2NdwjqZIyIioqsxsaMmSxgMOD/9P5CK9DgeDuSNuhHP9nxW7rCc2vTu0zG27VgICMzcNhNbL22VOyQiIiqDiR01WRfnzYH56AkUuAC/3hOFeYPegVKhlDsspyZJEl6OfRnDI4fDJEyYvmk6Nl/cLHdYRERUgokdNUnp636F7ivrRMRf3+mHN8d+DA+Nh8xRNQxKhRL/u+F/GNJiCIwWI57e9DTWnWe3LBGRM2BiR01O3rHDSHr+BQDAn/1c8OR/vkAzj2Z1v2MhrEsjoFao8e7Ad3Fr5K0wCRNe2PoCfjrzk9xhERE1eU17ki5qcgqTL+HUgxPhYbDgeEslhvxvGVr5tHLcDnSZwPltwKU9QPopIPcSkJcEGPIBYQEkBaD1Alx9AK9mQEBbILgTEHmj9b0kOS6WOqZSqPDWDW/BVeWKH07/gP/+819kFmdiSqcpkBrQcRARNSaSEI3kEoID5eXlwdvbG7m5ufDy8pI7HHKQwrxs7B5zC4IvFuCyvwTPzz9CbNubat9w6nHgxM/A6fXA5X0Aavgt5RkKRA0COo4GWg8BlOrax1YPhBB4Z+87+PL4lwCAu9vejZmxM5v85M5ERI5SnbyEiV0FmNg1PjpdDrbcNxyRJ3KQ5waIpXPQp9fomjeoLwCO/gDs/wK4vNd+XVAnIKIvEBINeDe3Li7egEIFmI1AcS5QlA3kXLBe1bu8F0jcBZj1V9pwCwC6jAW6TwSCO9Y8znr05fEv8c6edyAgcGPzG/HOje/ATe0md1hERA0eE7taYmLXuOQUZGLzlNvQ7kgO9GrAsuAVdI+7p2aNXdoH7F8OHF0DGAqsZQoV0GYo0HYo0DoO8K7BeD1jEXBxF/Dvn8CR1YAu/cq6VkOAftOAqMFO31W74cIGvLjtRejNerT2aY0FgxagpXdLucMiImrQmNjVEhO7xiMx4yx2PDYeMUcKYFQC0rsvo8vw+6rXiBDAuc3A1neAC/9cKfdvbb2iFjMB8AhyXNBmI3D2b+DAl8DJ36xj8wAguDPQdxrQeQyg0jhufw52KP0Qpm+ajoyiDHioPfC/G/6Hm1o4oMubiKiJYmJXS0zsGocD53fg3OOPouM5I0xKQDP3FbS7rRpX6oQAzmwAtsy13gwBAEoN0OkOoPskIKJf3V9Byz4P7FwM7P8SMOqsZV7NgRufAbre57QJXnphOp7d8iz2p+0HAEzpPAVPdn0S6gYybpCIyJkwsaslJnYNmxACv+z7Corn5qBVsoBBo0DA+++i2eDhVW0AOPUHsHUekHTAWqZysSZz/Z+qWVdrbRVlA3s/B3YtBQpSrGXeLawJXsw9TpngGS1GzN87H1+d+AoA0M63HeYMmIM2vm1kjoyIqGFhYldLTOwaLp1Rh49WPYs+H2xGUC5Q5K5G1KfL4NOt5/U3tlisd7dufRdIPWItU7sBPR8A+v0H8Ayu2+CrwlgM7FsObF9wJcHzaQEMeBboeo9T3km74cIGzI6fjRx9DtQKNZ7s9iTu73g/75olIqoiJna1xMSuYTqeeRzffPAYxqxJg4sRKAr2QYdlX8K1Vetrb2gxA8d+tCZ06SesZRoPoPdD1jFt7gF1H3x1GYvKJHip1jKfCGDADOuYP5VW1vCullGUgdd2vIYtl7YAADr4dcB/+/wX0YHRMkdGROT8mNjVEhO7hqXYVIzPdn4AzYIVuOGY9UYDc68u6PDRJ1B6e1e+odlkvQN127tA5hlrmdYbiH0E6PMY4OZXD9HXkrEI2LsM2L4Q0KVZy7yaWa8wdp8IaJxnuhEhBH488yPe3fsu8g35kCDhrrZ34cluT8LXxVfu8IiInBYTu1piYtdw7EnZg6+/fAF3rk5GYB5gkQCvhx5A86dmQFIqK97IoAMOfgPEf2S9OQEAXHyAvk8AvR+2PhWioTEUWq/g7fgAyE+2lrkHWo+p54OAi/N8HWcWZWL+vvn4+ezPAAAPtQcmd5qM+zvez3nviIgqwMSulpjYOb8UXQo+3vIOgj/7Azces34Jm0ID0Gr+B3Dr1q3ijfJTgd0fA3s/s96MAABu/kC/J4FeUwGtZz1FX4dMeuDg19Yu2pxEa5mLtzW56zVVnhs/KrE3ZS/m7pmLk1knAQB+Ln6Y2mUqxrQZwwSPiKgMJna1xMTOeWUXZ+OLvR8j74uvMWKnEa4GQEiAx/ixaPbMC1B6uJff6PJ+azJ3eBVgNljLfCOtV7O63gNoKtimoTMbgSPfA9veAzJPW8skJdDxdiD2USA81ikmO7YIC/46/xc+PPAhEvOtiai31hsT2k/APe3vYRctERGY2NUaEzvnk1SQhK8PLEP2D99j5FY9fAqt5Zb2UYh6fQ5co68ahK8vsI6f2/c5kHzoSnl4rPWGiPYjAEUlXbWNicVsneR498fA+W1XyoM6Wqdvib7bKcYSGi1G/HTmJyw7ugwX8y8CALRKLYa2HIqxbcciJjAGkhMkokREcmBiV0tM7JyDEAJ7U/fil71fQfvjRsTtN8OryLrOHBaI8GdfhNewYZAUCmuhxQwkbAUOrwSO/3xlQl+lFug4ynqXa3hveQ7GGaQcBXYvtV65NBVby5RaoP2tQKc7gTY3A2pXWUM0W8zYkLgBy44uw/HM47by1j6tMarVKAyLHIYQ9xAZIyQiqn9M7GqJiZ28kguSse7s7zj6x9fosCsFvf8VUJut68yhAQh76HH4jr0LkloNmAzAhe3WCYVP/ArkJ11pyL810GOydQJfd39ZjsUpFeWUXM1ccWW+PsA6xUu74dYkr/UQWadMEULgcMZhrD61Gn+e/xPF5mLbuu5B3XFLy1twY/MbEe4ZLluMRET1hYldLTGxq19CCJzPO48t5zfhxNa1CNh9Bv1OCPgVlKnTqS2aP/Q4PG+Og6RLBRK2Aaf/BE5vAPS5Vyq6eFufpRozAWjeyynGkTktIYDkg8DRH4Bja4Hci1fWqd2BqIFAm1uA1nGAj3wJVJ4hD3+c+wO/J/xue0RZqZZeLXFj8xtxQ7Mb0DWoK1xV1b/iKISAsAgIS8l7YX21rrP+Y30tv75cmSjZBsL2iF9x1fZXl1UlvuvXubqggjpXF1Zp39cvrLCZcoXla/E3DzU2oa19oFDUze8cJna1xMSu7mUVZ+FA6gHsO7YeufHb0exUFrqfEfAuvFLH5OkKn5G3I2DYYLi6Z1m7WRO2XbkZoJR7INB2mHXcXKubnG5y3gZBCODSXuDYGmuSV/bKJ2Cd/LjlDdbn40b0B3xbVjlpNpstMBabYTKYYdSbYTJYYNSbYTSYYTZYYDbZLyajBRaTBWaTgNlYUmaywGK0oKC4EMl5KcjUZUFXXAhJSJCEEgqhgAIKuCnc4aZ0g4vCFWqFBgqhgMUsYLFYkzeLRUDYPsNWTkRUWw+/PxBqbd2M3WZiV0tM7ByryFSEcznncCz5IC4c/ge6Y0fgdy4TnS4IhGXb1zW5a+HevR0COvrCwy8DivQjVx6dZSMBYV2ByIFAu1uB5j2bxo0Q9UUIWJIOwXDsb+hP74Ah+Rz0ZlcYhBsMwh16izsMSn/oXVvAoAmBQekPo8ITRuECo8FiS9xKEzmLuXH+iJEk6z/WV0CSJEgAoLC+Vri+tAxXyips97o7r6hIun6dKrVtX6nCTa7eVRUa5sVzauzGvtQLao38iZ1TPKxx0aJFeOedd5CSkoKYmBh8+OGH6N278kHuq1evxiuvvILz58+jTZs2mDt3Lm699VbbeiEEXn31VXzyySfIyclB//79sXjxYrRpw4eP1xWzxYy0wjRcKriEyxkJyDx7DAUJZ2C8cAFul7PQMlWgQzrQxWK/nZAAU6gr/Jup4O2fDXevJEiKBCAX1gUAJAUQ2B6IvNG6RPQDXDkNRmWEEDAZLNAXmmAoMkFfZH0t+/7qdfpCEwzFV8qNejOAriVLJXLKfjCULJVTKCSotEqoNQrrq1YJlVoBpVoBpeqqxVYmXfW59L21XKFUQFJYE4ssQybO5J7G6dzTOJN3Gkm6JFgkM4RkgUWyQMD6qlBKCPUIQbhXOEI8gxHsEYxg9yCEeoYi1DMEnhpPSIqrkq+yiVslCRkRkTOQ/YrdypUrMXHiRCxZsgSxsbFYuHAhVq9ejVOnTiEoKKhc/R07duDGG2/EnDlzcNttt+Gbb77B3LlzsX//fnTu3BkAMHfuXMyZMwcrVqxAZGQkXnnlFRw5cgTHjx+Hi4vLdWPiFTsrIQT0Zj0KjAXIKs5CZkEactIvIS/tMgozU2BIS4NIywDSM6HJzIdvvgUBeYBfHqCopE2jVgC+Jvj46OEbqIdboAFKTZkvQUlpTeLCugKhMUBoVyCkc+Oca64CFrMFRoMFxuLSpMsMQ3H5xMxQZLb/XHxlvbHIDIuDuhdVGgW0ripoXFXQupW8ahXQSPnQmjKgMSRBU3gB6vwEqC05UEl6qKViqCU9VFe9Kl09rI87824GeIZaJ4d28wNc/a68uvpa37v4AMra/d2pM+pwMuskjmcex4nMEzibexYJuQkoMhVdczsPtQdC3EPg7+IPXxdf2+Kn9bO+uvjBz8UPnhpPuKvd4apyZaJHRHWqQXXFxsbGolevXvjoo48AABaLBeHh4XjyySfx4osvlqs/btw46HQ6/Prrr7ayPn36oGvXrliyZAmEEAgLC8MzzzyDZ599FgCQm5uL4OBgLF++HOPHj79uTM6W2AkhYLKYYBImmC1mu/dmYf1stBhh1uth1hfAXKyDqVgHfbEOxqJ8GIp1MBYXwmgohKm4ECaDHubiIpiLiiCKimEqKoKlqBii2AAUGyAVG6HQm6EpNsOjSMCjCPAsAtz1VY/ZoBEweFug8TDBx8MIX28DXHyMULubrV0yHiGAXyTgF2WdLNivZAnqWOdTbpQd7G4bNF86/kpc+SxEmbFYZuuYL4vZYh33ZRYwm8qMBSsZH2Yxl3lfUm4ymK1dlCXjykpfS8eblXZZGg1mWEyO+3aUJEDjprqSmJV9dbuqrJLPSmVlKXq5kwoUpFqfuZtx2vqaeRbITgByLwOG/OofgIu3NdFTu1ufeat2syb4ajfr10jpe42btY7aBVBqrFO4KNXW9yqNXZlFoUKqMQ/ndMk4p7uMpKIMJBelI6koHcmFqcgx5FU7TIWkgLvaHR5qjyuvGne4q9zhonKBi9IFWpUWLkoXaJQa22et0rq4KF2gUqhsi1JSQqVQQa1Q2322W6SSugollJISkiRBAQUUkoJJJlEj1GC6Yg0GA/bt24eZM2fayhQKBeLi4hAfH1/hNvHx8ZgxY4Zd2dChQ7F27VoAQEJCAlJSUhAXF2db7+3tjdjYWMTHx1eY2On1euj1V7KWvLzq/3CvjuL8fHw97Xu7+8RKfxQLSJAq/N0ulfsXouSduKrcjhaQXACUTvdxpY79bsqM0FEDFjVQ7AEUQ0LGVfWFBAhJsl6WkwQkBaCQAIUkICkUkJQK65g3hcr6KikhSl6hLynPUgBZV92pJ4oB2N/1CFx191yZD3bxl21GlLnD0SJgESWJWunSAIZ8KRQSNK4qaFyVtoRL7XIl8SpbrnEpLbOWl9ZRa5X190tekgDPEOvS8oby64vzgLzL1iQv77L1ebaFWdZHuxVllbzPAgqzr9zlXJxrXRxIASC0ZOlfwfpCSUKKSokUlQpZCgWylUpkKxXIUiqRpVQhW6lAtkKJLKWEAkmCkCRYhAX5hnzk1yR5rSMKUfLtCetr2ffWIX9SheUKceUnxJXXisfcSdcou/qrrrL1Va9X+U84qh2eU8dZMX4TXJxgmJCsiV1GRgbMZjOCg4PtyoODg3Hy5MkKt0lJSamwfkpKim19aVllda42Z84czJ49u0bHUBMSLCh2jai3/dUrAcB0rQoWXG8sljOQJFjHWZUsSqUERemYL6XiyvuScV8KpWQd+6W0livKlKs0ZcaVaUrGlpW8qrUK23tbmUYJhUpqXFdeXLysS1CH69c1m4DiHGuyV5wDGHSAsRAwFFonnbZ7Lbyy3qS3PjLOpLc+Us1c+tlgfS1dZzGh5DJsyfuSVwBuQiDKaEKU8ZpfxACsX8nFkoQChQIFCgk6qeRVoUCBQgGdQkKxJEEvKVAsSTBIJZ8VEvTSlaVYkmCSABMkmEtejdKV9yYJMJe8GiUJpip8XVgka3yVq+SvmwqbbgB/CRE5AYswyx0CACe5eUJuM2fOtLsKmJeXh/Dwupu3S+XijtYdT0KhKOk+UVi7c5SwXrFUKFRQKJRQKpVQKlSQlEoopCufFUolJIUKklIFSaWCpC55r9ZA0mghqbWARgtJobrqz+orH+x+fksVVrlqRYVv7du81u8bu+0rabeS7a+Z4FS4vWS9iqiwJkelg+slhWQtU1wps/uskKAoM1CeZKJUAe4B1qU+WSxXkjyLueS9ucz70nILAAGFEHAD4AYgqOykdFcmrStpWABVWl9R3YrXW4dgWIdhCFhgERbr0AFYYLFYIGCGRYiScgssKPNeWGAp2YcF1vcCwlYfV/Zuu6Je7nMFl8vL1RUVb4vrrL+6HVynHftGK1/VUFQw458MUdQN2/9d4zkkOxq1h9whAJA5sQsICIBSqURqaqpdeWpqKkJCKn5sUEhIyDXrl76mpqYiNDTUrk7Xrl0rbFOr1UKrrb+5z5RqFYb+5/F62x8RVYGipHNSqZY7kutSliycsZGIrlbFkdF1Q6PRoEePHti4caOtzGKxYOPGjejbt2+F2/Tt29euPgCsX7/eVj8yMhIhISF2dfLy8rBr165K2yQiIiJqDGTvip0xYwYmTZqEnj17onfv3li4cCF0Oh2mTJkCAJg4cSKaNWuGOXPmAACeeuopDBw4EO+99x5GjBiB7777Dnv37sXHH38MwNqFNn36dLz55pto06aNbbqTsLAwjB49Wq7DJCIiIqpzsid248aNQ3p6OmbNmoWUlBR07doV69ats938kJiYCIXiyoXFfv364ZtvvsF///tfvPTSS2jTpg3Wrl1rm8MOAJ5//nnodDo8/PDDyMnJwQ033IB169ZVaQ47IiIiooZK9nnsnJGzzWNHRERETVd18hJZx9gRERERkeMwsSMiIiJqJJjYERERETUSTOyIiIiIGgkmdkRERESNBBM7IiIiokaCiR0RERFRI8HEjoiIiKiRYGJHRERE1EgwsSMiIiJqJGR/VqwzKn3KWl5ensyREBERUVNXmo9U5SmwTOwqkJ+fDwAIDw+XORIiIiIiq/z8fHh7e1+zjiSqkv41MRaLBUlJSfD09IQkSQ5vPy8vD+Hh4bh48eJ1H+ZL18fz6Tg8l47F8+k4PJeOxfPpOPVxLoUQyM/PR1hYGBSKa4+i4xW7CigUCjRv3rzO9+Pl5cVvKAfi+XQcnkvH4vl0HJ5Lx+L5dJy6PpfXu1JXijdPEBERETUSTOyIiIiIGgkmdjLQarV49dVXodVq5Q6lUeD5dByeS8fi+XQcnkvH4vl0HGc7l7x5goiIiKiR4BU7IiIiokaCiR0RERFRI8HEjoiIiKiRYGIng0WLFqFly5ZwcXFBbGwsdu/eLXdITu+1116DJEl2S/v27W3ri4uL8cQTT8Df3x8eHh4YM2YMUlNTZYzYuWzduhUjR45EWFgYJEnC2rVr7dYLITBr1iyEhobC1dUVcXFxOH36tF2drKws3HvvvfDy8oKPjw8efPBBFBQU1ONROIfrncvJkyeX+1odNmyYXR2eS6s5c+agV69e8PT0RFBQEEaPHo1Tp07Z1anK93ZiYiJGjBgBNzc3BAUF4bnnnoPJZKrPQ5FdVc7loEGDyn1tPvroo3Z1eC6tFi9ejOjoaNvcdH379sUff/xhW+/MX5dM7OrZypUrMWPGDLz66qvYv38/YmJiMHToUKSlpckdmtPr1KkTkpOTbcv27dtt655++mn88ssvWL16NbZs2YKkpCTceeedMkbrXHQ6HWJiYrBo0aIK18+bNw8ffPABlixZgl27dsHd3R1Dhw5FcXGxrc69996LY8eOYf369fj111+xdetWPPzww/V1CE7jeucSAIYNG2b3tfrtt9/aree5tNqyZQueeOIJ7Ny5E+vXr4fRaMQtt9wCnU5nq3O9722z2YwRI0bAYDBgx44dWLFiBZYvX45Zs2bJcUiyqcq5BICHHnrI7mtz3rx5tnU8l1c0b94cb7/9Nvbt24e9e/fipptuwqhRo3Ds2DEATv51Kahe9e7dWzzxxBO2z2azWYSFhYk5c+bIGJXze/XVV0VMTEyF63JycoRarRarV6+2lZ04cUIAEPHx8fUUYcMBQPz444+2zxaLRYSEhIh33nnHVpaTkyO0Wq349ttvhRBCHD9+XAAQe/bssdX5448/hCRJ4vLly/UWu7O5+lwKIcSkSZPEqFGjKt2G57JyaWlpAoDYsmWLEKJq39u///67UCgUIiUlxVZn8eLFwsvLS+j1+vo9ACdy9bkUQoiBAweKp556qtJteC6vzdfXV3z66adO/3XJK3b1yGAwYN++fYiLi7OVKRQKxMXFIT4+XsbIGobTp08jLCwMUVFRuPfee5GYmAgA2LdvH4xGo915bd++PVq0aMHzWgUJCQlISUmxO3/e3t6IjY21nb/4+Hj4+PigZ8+etjpxcXFQKBTYtWtXvcfs7DZv3oygoCC0a9cOjz32GDIzM23reC4rl5ubCwDw8/MDULXv7fj4eHTp0gXBwcG2OkOHDkVeXp7t6kpTdPW5LPX1118jICAAnTt3xsyZM1FYWGhbx3NZMbPZjO+++w46nQ59+/Z1+q9LPiu2HmVkZMBsNtv9RwNAcHAwTp48KVNUDUNsbCyWL1+Odu3aITk5GbNnz8aAAQNw9OhRpKSkQKPRwMfHx26b4OBgpKSkyBNwA1J6jir6uixdl5KSgqCgILv1KpUKfn5+PMdXGTZsGO68805ERkbi7NmzeOmllzB8+HDEx8dDqVTyXFbCYrFg+vTp6N+/Pzp37gwAVfreTklJqfBrt3RdU1TRuQSAe+65BxEREQgLC8Phw4fxwgsv4NSpU1izZg0AnsurHTlyBH379kVxcTE8PDzw448/omPHjjh48KBTf10ysaMGYfjw4bb30dHRiI2NRUREBFatWgVXV1cZIyOyN378eNv7Ll26IDo6Gq1atcLmzZsxZMgQGSNzbk888QSOHj1qN3aWaqayc1l2HGeXLl0QGhqKIUOG4OzZs2jVqlV9h+n02rVrh4MHDyI3Nxfff/89Jk2ahC1btsgd1nWxK7YeBQQEQKlUlrtzJjU1FSEhITJF1TD5+Pigbdu2OHPmDEJCQmAwGJCTk2NXh+e1av6/nXsLiWpt4wD+d/fNDGOjmYcczUY0pZAOlKUM5RQodkKiCxG7yFOKiURgghJB5EVSZgehkCCFlIQIFbsQ80gHkzRNJbKUMYsEQ7M85SGffRHN3oPujO9Dx72+/w/mwvWueXmfh3fhf5au+dmjX+1LvV4/5wGfmZkZDA0NsccL8PX1haurK7q7uwGwl/NJTU3FgwcPUFdXBy8vL8vx37m29Xr9vHv359j/m3/q5XyCg4MBwGpvspd/UavV8PPzQ2BgIC5cuICtW7fi2rVry35fMtgtIbVajcDAQNTU1FiOzc7OoqamBkaj0YYr+/cZHR1FT08PPDw8EBgYCJVKZdXXrq4u9PX1sa+/wcfHB3q93qp/X79+RVNTk6V/RqMRw8PDaGlpsZxTW1uL2dlZyy8Hmt+HDx8wODgIDw8PAOzl34kIUlNTUVpaitraWvj4+FiN/861bTQa0dHRYRWWHz58CEdHRwQEBCxNIcvAQr2cT1tbGwBY7U328p/Nzs5icnJy+e/LRX00g+YoKSkRjUYjhYWF8urVK0lKShInJyerJ2dorrS0NKmvrxez2SxPnjyRsLAwcXV1lYGBARERSU5OFoPBILW1tdLc3CxGo1GMRqONV718jIyMSGtrq7S2tgoAyc3NldbWVnn37p2IiGRnZ4uTk5OUl5dLe3u7HD58WHx8fGRiYsIyx/79+2Xbtm3S1NQkjx8/Fn9/f4mOjrZVSTbzq16OjIzI6dOnpbGxUcxms1RXV8v27dvF399fvn37ZpmDvfzhxIkTsmrVKqmvr5f+/n7La3x83HLOQtf2zMyMbNq0ScLDw6WtrU0qKyvFzc1NMjMzbVGSzSzUy+7ubjl//rw0NzeL2WyW8vJy8fX1FZPJZJmDvfxLRkaGNDQ0iNlslvb2dsnIyBA7OzupqqoSkeW9LxnsbCAvL08MBoOo1WoJCgqSZ8+e2XpJy15UVJR4eHiIWq2WtWvXSlRUlHR3d1vGJyYmJCUlRVavXi329vZy5MgR6e/vt+GKl5e6ujoBMOcVExMjIj++8uTs2bPi7u4uGo1GQkNDpaury2qOwcFBiY6OFp1OJ46OjhIXFycjIyM2qMa2ftXL8fFxCQ8PFzc3N1GpVOLt7S2JiYlzPrixlz/M10cAUlBQYDnnd67t3t5eOXDggGi1WnF1dZW0tDSZnp5e4mpsa6Fe9vX1iclkEmdnZ9FoNOLn5yfp6eny5csXq3nYyx/i4+PF29tb1Gq1uLm5SWhoqCXUiSzvfWknIrK49wSJiIiIaCnwf+yIiIiIFILBjoiIiEghGOyIiIiIFILBjoiIiEghGOyIiIiIFILBjoiIiEghGOyIiIiIFILBjoiIiEghGOyIiP4Le/fuxalTp2y9DCIiKwx2RERERArBYEdERESkEAx2REQLGBsbw7Fjx6DT6eDh4YHLly9bjd+5cwc7duyAg4MD9Ho9jh49ioGBAQCAiMDPzw85OTlW72lra4OdnR26u7shIjh37hwMBgM0Gg08PT1x8uTJJauPiJSDwY6IaAHp6eloaGhAeXk5qqqqUF9fjxcvXljGp6enkZWVhZcvX6KsrAy9vb2IjY0FANjZ2SE+Ph4FBQVWcxYUFMBkMsHPzw/379/HlStXkJ+fj7dv36KsrAybN29eyhKJSCHsRERsvQgiouVqdHQULi4uKCoqQmRkJABgaGgIXl5eSEpKwtWrV+e8p7m5GTt37sTIyAh0Oh0+fvwIg8GAp0+fIigoCNPT0/D09EROTg5iYmKQm5uL/Px8dHZ2QqVSLXGFRKQkvGNHRPQLPT09mJqaQnBwsOWYs7MzNmzYYPm5paUFERERMBgMcHBwwJ49ewAAfX19AABPT08cOnQIt2/fBgBUVFRgcnLSEhQjIyMxMTEBX19fJCYmorS0FDMzM0tVIhEpCIMdEdH/YGxsDPv27YOjoyOKi4vx/PlzlJaWAgCmpqYs5x0/fhwlJSWYmJhAQUEBoqKiYG9vDwBYt24durq6cOPGDWi1WqSkpMBkMmF6etomNRHRvxeDHRHRL6xfvx4qlQpNTU2WY58/f8abN28AAK9fv8bg4CCys7MREhKCjRs3Wh6c+LuDBw9i5cqVuHnzJiorKxEfH281rtVqERERgevXr6O+vh6NjY3o6OhY3OKISHH+Y+sFEBEtZzqdDgkJCUhPT4eLiwvWrFmDM2fO4I8/fnwuNhgMUKvVyMvLQ3JyMjo7O5GVlTVnnhUrViA2NhaZmZnw9/eH0Wi0jBUWFuL79+8IDg6Gvb09ioqKoNVq4e3tvWR1EpEy8I4dEdECLl26hJCQEERERCAsLAy7d+9GYGAgAMDNzQ2FhYW4d+8eAgICkJ2dPeerTX5KSEjA1NQU4uLirI47OTnh1q1b2LVrF7Zs2YLq6mpUVFTAxcVl0WsjImXhU7FEREvk0aNHCA0Nxfv37+Hu7m7r5RCRAjHYEREtssnJSXz69AkxMTHQ6/UoLi629ZKISKH4p1giokV29+5deHt7Y3h4GBcvXrT1cohIwXjHjoiIiEgheMeOiIiISCEY7IiIiIgUgsGOiIiISCEY7IiIiIgUgsGOiIiISCEY7IiIiIgUgsGOiIiISCEY7IiIiIgUgsGOiIiISCH+BFkgaJiO/oDYAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.set_title(f\"Prevalence by compartment: {out.geo_labels[0]}\")\n", + "ax.set_xlabel(\"days\")\n", + "ax.set_ylabel(\"individuals\")\n", + "x_axis = out.ticks_in_days\n", + "ax.plot(x_axis, out.prevalence[:, 0, ipm.compartments_by(\"S\")], label=\"S\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, ipm.compartments_by(\"E\")], label=\"E\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, ipm.compartments_by(\"I*\")].sum(axis=1), label=\"I*\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, ipm.compartments_by(\"R\")], label=\"R\")\n", + "ax.plot(x_axis, out.prevalence[:, 0, ipm.compartments_by(\"D\")], label=\"D\")\n", + "ax.legend()\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There is also `ipm.events_by_src()` and `ipm.events_by_dst()`. Say we're interested in how many people are recovering every day. There are multiple paths to recovery! (Events 8, 11, 12, and 13.) We'll need to aggregate them before we can plot." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.set_title(\"Recoveries per day\")\n", + "ax.set_xlabel(\"days\")\n", + "ax.set_ylabel(\"new recoveries\")\n", + "ax.plot(np.arange(out.dim.days),\n", + " out.incidence_per_day[:, :, ipm.events_by_dst(\"R\")].sum(axis=2),\n", + " label=out.geo_labels)\n", + "ax.legend()\n", + "fig.tight_layout()\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/README.md b/doc/devlog/README.md index c25dfd7f..d20d6294 100644 --- a/doc/devlog/README.md +++ b/doc/devlog/README.md @@ -44,6 +44,7 @@ This folder is a handy place to put Jupyter notebooks or other documents which h | 2024-02-06-adrio-demo.ipynb | Trevor | | Demonstrates the ADRIO system using code updated for latest changes. | | 2024-02-06.ipynb | Tyler | | Revisiting age-class IPMs, and thinking about modularity of approach. | | 2024-02-12.ipynb | Tyler | | Continued age-class IPM work, this time in more than one geo node. | +| 2024-03-01.ipynb | Tyler | | Getting the indices of IPM events and compartments by name with wildcard support. | ## Contributing diff --git a/epymorph/compartment_model.py b/epymorph/compartment_model.py index 0f97de82..382f159c 100644 --- a/epymorph/compartment_model.py +++ b/epymorph/compartment_model.py @@ -3,9 +3,10 @@ This represents disease mechanics using a compartmental model for tracking populations as groupings of integer-numbered individuals. """ +import re from dataclasses import dataclass, field from functools import cached_property -from typing import Iterable, Iterator +from typing import Iterable, Iterator, Sequence from sympy import Expr, Float, Integer, Symbol @@ -245,6 +246,46 @@ def event_names(self) -> list[str]: return [f"{e.compartment_from} → {e.compartment_to}" for e in self.events] + @cached_property + def event_src_dst(self) -> Sequence[tuple[str, str]]: + """All events represented as a tuple of the source compartment and destination compartment.""" + return [(str(e.compartment_from), str(e.compartment_to)) for e in self.events] + + def _compile_pattern(self, pattern: str) -> re.Pattern: + """Turn a pattern string (which is custom syntax) into a regular expression.""" + # We're not interpreting pattern as a regex directly, so escape any special characters. + # Then replace '*' with the necessary regex. + escaped_pattern = re.escape(pattern).replace(r'\*', '[^_]+') + # Compile with anchors so it matches the entire string. + return re.compile(f"^{escaped_pattern}$") + + def events_by_src(self, pattern: str) -> tuple[int, ...]: + """ + Get the indices of IPM events by the source compartment. + The `pattern` argument supports using asterisk as a wildcard character, + matching anything besides underscores. + """ + regex = self._compile_pattern(pattern) + return tuple((i for i, (src, _) in enumerate(self.event_src_dst) if regex.match(src))) + + def events_by_dst(self, pattern: str) -> tuple[int, ...]: + """ + Get the indices of IPM events by the destination compartment. + The `pattern` argument supports using asterisk as a wildcard character, + matching anything besides underscores. + """ + regex = self._compile_pattern(pattern) + return tuple((i for i, (_, dst) in enumerate(self.event_src_dst) if regex.match(dst))) + + def compartments_by(self, pattern: str) -> tuple[int, ...]: + """ + Get the indices of IPM compartments. + The `pattern` argument supports using asterisk as a wildcard character, + matching anything besides underscores. + """ + regex = self._compile_pattern(pattern) + return tuple((i for i, e in enumerate(self.compartment_names) if regex.match(e))) + def create_model(symbols: CompartmentSymbols, transitions: Iterable[TransitionDef]) -> CompartmentModel: """