diff --git a/doc/devlog/2024-05-17.ipynb b/doc/devlog/2024-05-17.ipynb new file mode 100644 index 00000000..9fdf0a6c --- /dev/null +++ b/doc/devlog/2024-05-17.ipynb @@ -0,0 +1,409 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# devlog 2024-05-17\n", + "\n", + "_Author: Sindhura Paruchuri and Tyler Coles_\n", + "\n", + "Demonstrating several probability distributions which may be useful in developing bird and mosquito movement models." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial\n", + "\n", + "import geopandas as gp\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pygris\n", + "from numpy.typing import NDArray\n", + "\n", + "import epymorph.initializer as init\n", + "from epymorph.data import geo_library, ipm_library\n", + "from epymorph.engine.standard_sim import StandardSimulation\n", + "from epymorph.movement.parser import parse_movement_spec\n", + "from epymorph.simulation import SimDType, TimeFrame, sim_messaging\n", + "from epymorph.util import pairwise_haversine" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Weibull Distribution\n", + "\n", + "The Weibull distribution is used in the source paper to model localized bird movement. Our first task is to correctly compute the value of the Weibull distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def weibull_distribution(x: NDArray[np.float64], scale: float, shape: float) -> NDArray[np.float64]:\n", + " \"\"\"\n", + " Calculate the Weibull distribution probability density function for each value in `x`.\n", + " `shape` and `scale` are parameters which alter the shape of the distribution,\n", + " and each must be greater than zero.\n", + " https://en.wikipedia.org/wiki/Weibull_distribution\n", + " \"\"\"\n", + " if shape <= 0 or scale <= 0:\n", + " raise ValueError(\"`shape` and `scale` must be greater than zero.\")\n", + " return ((shape / scale)\n", + " * ((x / scale) ** (shape - 1))\n", + " * (np.exp(-((x / scale) ** shape))))\n", + "\n", + "\n", + "# To demonstrate this function, we'll duplicate the PDF figure from the wikipedia article:\n", + "# https://en.wikipedia.org/wiki/Weibull_distribution\n", + "\n", + "\n", + "params_scale_shape = [\n", + " (1, 0.5),\n", + " (1, 1),\n", + " (1, 1.5),\n", + " (1, 5),\n", + "]\n", + "\n", + "fig, ax = plt.subplots(figsize=(8,5))\n", + "x = np.linspace(0.001, 2.5, num=1000)\n", + "for scale, shape in params_scale_shape:\n", + " y = weibull_distribution(x, scale, shape)\n", + " ax.plot(x, y, label=f\"λ = {scale}, k = {shape}\")\n", + "ax.set_title(\"Weibull PDF with varying shape parameters\")\n", + "ax.set_ylim(0, 2.5)\n", + "ax.set_xlim(0, 2.5)\n", + "ax.legend()\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And now we can plot probability vs. distance using the parameters from the reference paper." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(0.001, 10.0, num=1000)\n", + "y = weibull_distribution(x, shape=3, scale=3)\n", + "fig, ax = plt.subplots(figsize=(8,5))\n", + "ax.plot(x, y, label=f\"λ = 3, k = 3\")\n", + "ax.set_title(\"Weibull-distributed movement probability\")\n", + "ax.set_ylabel(\"probability\")\n", + "ax.set_xlabel(\"distance (???)\")\n", + "ax.set_ylim(0, 0.5)\n", + "ax.set_xlim(0, 10)\n", + "ax.legend()\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can put this to practice in a movement model, run an epymorph simulation, and inspect its results to prove that it behaves as expected.\n", + "\n", + "For the sake of demonstrating only the movement model mechanics, we set up our simulation as follows:\n", + "- A geo which covers Maricopa County, AZ at the CBG level.\n", + "- A placeholder IPM (one compartment, no transitions).\n", + "- A movement model based using the Weibull-distributed probabilities to govern movement.\n", + "- We set all starting populations at zero except for one selected node.\n", + "\n", + "This way the \"prevalence\" data during the simulation is simple to examine; it's entirely due to movement from the selected source node. This is of course a limited and artificial scenario, but crafted just so to demonstrate the operation of the movement model." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2023-01-01 to 2023-01-11 (10 days)\n", + "• 2494 geo nodes\n", + "|####################| 100% \n", + "Runtime: 9.456s\n" + ] + } + ], + "source": [ + "mm_spec = parse_movement_spec(\"\"\"\n", + "[move-steps: per-day=2; duration=[1/3, 2/3]]\n", + "\n", + "[predef: function=\n", + "def birds_predef():\n", + " scale = 3\n", + " shape = 3\n", + " \n", + " centroid = geo['centroid']\n", + " distance = pairwise_haversine(centroid['longitude'], centroid['latitude'])\n", + " \n", + " weibull = ((shape / scale)\n", + " * ((distance / scale) ** (shape - 1))\n", + " * (np.exp(-((distance / scale) ** shape))))\n", + " return {'prob': row_normalize(weibull)}\n", + "]\n", + "\n", + "[mtype: days=all; leave=1; duration=0d; return=2; function=\n", + "def birds_local(t):\n", + " n_movers = np.floor(geo['bird_population'] * 0.5).astype(SimDType)\n", + " return np.multinomial(n_movers, predef['prob'])\n", + "]\n", + "\"\"\")\n", + "\n", + "geo = geo_library['maricopa_cbg_2019']()\n", + "\n", + "selected_geoid = '040130927211'\n", + "selected = np.where(geo['geoid'] == selected_geoid)[0][0]\n", + "\n", + "distances = pairwise_haversine(geo['centroid']['longitude'], geo['centroid']['latitude'])\n", + "\n", + "# Add bird population to geo.\n", + "birds = np.zeros(shape=geo.nodes, dtype=SimDType)\n", + "birds[selected] = 50_000\n", + "geo.values['bird_population'] = birds\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo,\n", + " ipm=ipm_library['no'](),\n", + " mm=mm_spec,\n", + " params={},\n", + " time_frame=TimeFrame.of(\"2023-01-01\", 10),\n", + " initializer=partial(init.explicit, initials=birds.reshape((geo.nodes, 1))),\n", + " rng=lambda: np.random.default_rng(42),\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " out = sim.run()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And to map it we have to merge our simulation results with geography from pygris." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using FIPS code '04' for input 'Arizona'\n", + "Using FIPS code '013' for input 'Maricopa'\n" + ] + } + ], + "source": [ + "visitors = out.prevalence[:, :, 0].mean(axis=0)\n", + "visitors[selected] = 0 # birds at home aren't visitors!\n", + "\n", + "maricopa_gdf = pygris.block_groups(\n", + " state=\"Arizona\",\n", + " county=\"Maricopa\",\n", + " year=2019,\n", + " cache=True,\n", + ")\n", + "\n", + "def get_coords(geoid: str) -> tuple[float, float]:\n", + " row = maricopa_gdf[maricopa_gdf['GEOID'] == geoid].iloc[0]\n", + " return float(row['INTPTLON']), float(row['INTPTLAT'])\n", + "\n", + "selected_coords = get_coords(selected_geoid)\n", + "\n", + "gdf = gp.GeoDataFrame(\n", + " pd.merge(\n", + " left=maricopa_gdf[['GEOID', 'COUNTYFP', 'geometry']],\n", + " right=pd.DataFrame({\n", + " 'GEOID': geo['geoid'],\n", + " # distances relative to the selected node\n", + " 'distance': distances[selected],\n", + " # mean visiting birds over the simulation\n", + " 'visitors': visitors,\n", + " }),\n", + " on='GEOID',\n", + " how='outer',\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can plot a map of Maricopa County with each CBG colorized by the average number of visitors over the simulation.\n", + "\n", + "We expect to see a rough donut shape -- we can imagine standing the Weibull PDF curve vertically on the map, with zero at the source node, and rotating it around the unit circle. The height of the curve at each node's centroid is proportional to the expected value for that node." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", + "\n", + "axs[0].axis('off')\n", + "axs[0].set_title('Mean visiting birds by location')\n", + "gdf.plot(\n", + " ax=axs[0],\n", + " column='visitors',\n", + " cmap='Reds',\n", + " # legend=True,\n", + " # NOTE: the geo we're using omits some CBGs, mostly because they have no human population.\n", + " # That's not super relevant to birds, but we'll leave it as is because it doesn't impact our results in this case.\n", + " # The \"missing\" CBGs are filled with hatching on this map.\n", + " missing_kwds={\n", + " \"color\": \"lightgrey\",\n", + " \"edgecolor\": \"whitesmoke\",\n", + " \"hatch\": \"///////\",\n", + " \"linewidth\": 0.5,\n", + " \"label\": \"Missing values\",\n", + " },\n", + ")\n", + "# Draw county outline.\n", + "gdf.dissolve(by='COUNTYFP')\\\n", + " .plot(ax=axs[0], linewidth=1, edgecolor=\"lightgrey\", facecolor=\"none\")\n", + "\n", + "axs[1].axis('off')\n", + "axs[1].set_title('Mean visiting birds by location (detail)')\n", + "gdf.plot(\n", + " ax=axs[1],\n", + " column='visitors',\n", + " cmap='Reds',\n", + " legend=True,\n", + " missing_kwds={\n", + " \"color\": \"lightgrey\",\n", + " \"edgecolor\": \"whitesmoke\",\n", + " \"hatch\": \"///////\",\n", + " \"linewidth\": 0.5,\n", + " \"label\": \"Missing values\",\n", + " },\n", + ")\n", + "# Zoom in.\n", + "(lon, lat) = selected_coords\n", + "axs[1].set_xlim(lon - 0.1, lon + 0.1)\n", + "axs[1].set_ylim(lat - 0.1, lat + 0.1)\n", + "# Mark the source node.\n", + "axs[1].plot(lon, lat, marker='*', color='blue', markersize=5)\n", + "\n", + "fig.tight_layout()\n", + "fig.align_titles()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And if we take the average visitors to each node and plot that against distance from the source node, we would expect to see that average mirrors the Weibull distribution PDF curve plus some stochastic noise." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8,5))\n", + "ax.scatter(gdf['distance'], gdf['visitors'], s=2)\n", + "ax.set_title(\"Mean visitors vs distance\")\n", + "ax.set_xlabel(\"distance (miles)\")\n", + "ax.set_ylabel(\"birds\")\n", + "ax.set_xlim(0, 10)\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": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/example_local_birds.ipynb b/doc/devlog/example_local_birds.ipynb new file mode 100644 index 00000000..76a58f32 --- /dev/null +++ b/doc/devlog/example_local_birds.ipynb @@ -0,0 +1,208 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pygris\n", + "from matplotlib.cm import ScalarMappable\n", + "from matplotlib.colors import Normalize\n", + "\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "from epymorph.initializer import bird_movement_initializer\n", + "from epymorph.engine.standard_sim import StandardSimulation\n", + "from epymorph.simulation import TimeFrame" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "geo = geo_library['maricopa_cbg_2019']()\n", + "\n", + "source_node = '040130927211'\n", + "birds = np.zeros(geo.nodes)\n", + "birds[np.where(geo['geoid'] == source_node)] = 50000\n", + "geo.values['bird_population'] = birds" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[3], line 13\u001b[0m\n\u001b[0;32m 1\u001b[0m sim \u001b[38;5;241m=\u001b[39m StandardSimulation(\n\u001b[0;32m 2\u001b[0m geo\u001b[38;5;241m=\u001b[39mgeo,\n\u001b[0;32m 3\u001b[0m ipm\u001b[38;5;241m=\u001b[39mipm_library[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mno\u001b[39m\u001b[38;5;124m'\u001b[39m](),\n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 10\u001b[0m initializer\u001b[38;5;241m=\u001b[39mbird_movement_initializer,\n\u001b[0;32m 11\u001b[0m )\n\u001b[1;32m---> 13\u001b[0m out \u001b[38;5;241m=\u001b[39m \u001b[43msim\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[1;32mc:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\engine\\standard_sim.py:151\u001b[0m, in \u001b[0;36mStandardSimulation.run\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 149\u001b[0m ctx \u001b[38;5;241m=\u001b[39m RumeContext\u001b[38;5;241m.\u001b[39mfrom_config(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_config)\n\u001b[0;32m 150\u001b[0m ipm_exec \u001b[38;5;241m=\u001b[39m StandardIpmExecutor(ctx)\n\u001b[1;32m--> 151\u001b[0m movement_exec \u001b[38;5;241m=\u001b[39m \u001b[43mStandardMovementExecutor\u001b[49m\u001b[43m(\u001b[49m\u001b[43mctx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 153\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m error_gate(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minitializing the simulation\u001b[39m\u001b[38;5;124m\"\u001b[39m, InitException):\n\u001b[0;32m 154\u001b[0m ini \u001b[38;5;241m=\u001b[39m ctx\u001b[38;5;241m.\u001b[39minitialize()\n", + "File \u001b[1;32mc:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\engine\\mm_exec.py:58\u001b[0m, in \u001b[0;36mStandardMovementExecutor.__init__\u001b[1;34m(self, ctx)\u001b[0m\n\u001b[0;32m 56\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_log \u001b[38;5;241m=\u001b[39m getLogger(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmovement\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m 57\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_clause_masks \u001b[38;5;241m=\u001b[39m {c: c\u001b[38;5;241m.\u001b[39mmask(ctx) \u001b[38;5;28;01mfor\u001b[39;00m c \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_model\u001b[38;5;241m.\u001b[39mclauses}\n\u001b[1;32m---> 58\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_check_predef\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[1;32mc:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\engine\\mm_exec.py:65\u001b[0m, in \u001b[0;36mStandardMovementExecutor._check_predef\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 63\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m curr_hash \u001b[38;5;241m!=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_predef_hash:\n\u001b[0;32m 64\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m---> 65\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_predef \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_model\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpredef\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_ctx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 66\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_predef_hash \u001b[38;5;241m=\u001b[39m curr_hash\n\u001b[0;32m 67\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m e:\n\u001b[0;32m 68\u001b[0m \u001b[38;5;66;03m# NOTE: catching KeyError here will be necessary (to get nice error messages)\u001b[39;00m\n\u001b[0;32m 69\u001b[0m \u001b[38;5;66;03m# until we can properly validate the MM clauses.\u001b[39;00m\n", + "File \u001b[1;32m:6\u001b[0m, in \u001b[0;36mbirds_movement\u001b[1;34m(ctx)\u001b[0m\n", + "File \u001b[1;32mc:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\util.py:174\u001b[0m, in \u001b[0;36mweibull_distribution_prob\u001b[1;34m(distance, shape, scale)\u001b[0m\n\u001b[0;32m 171\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mweibull_distribution_prob\u001b[39m(distance: NDArray[N], shape: \u001b[38;5;28mfloat\u001b[39m, scale: \u001b[38;5;28mfloat\u001b[39m) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m NDArray[np\u001b[38;5;241m.\u001b[39mfloat64]:\n\u001b[0;32m 172\u001b[0m result \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mzeros_like(distance, dtype\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39mfloat64)\n\u001b[0;32m 173\u001b[0m result \u001b[38;5;241m=\u001b[39m ((shape \u001b[38;5;241m/\u001b[39m scale) \u001b[38;5;241m*\u001b[39m ((distance \u001b[38;5;241m/\u001b[39m scale) \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m (shape \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m))\n\u001b[1;32m--> 174\u001b[0m \u001b[38;5;241m*\u001b[39m (\u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mexp\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdistance\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mscale\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mshape\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m))\n\u001b[0;32m 175\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m result\n", + "\u001b[1;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "sim = StandardSimulation(\n", + " geo=geo,\n", + " ipm=ipm_library['no'](),\n", + " mm=mm_library['local_birds'](),\n", + " params={\n", + " 'shape': 3,\n", + " 'scale':100\n", + " },\n", + " time_frame=TimeFrame.of(\"2023-01-01\", 10),\n", + " initializer=bird_movement_initializer,\n", + ")\n", + "\n", + "out = sim.run()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using FIPS code '04' for input 'Arizona'\n", + "Using FIPS code '013' for input 'Maricopa'\n" + ] + } + ], + "source": [ + "df = pd.merge(\n", + " left=pygris.block_groups(\n", + " state=\"Arizona\",\n", + " county=\"Maricopa\",\n", + " year=2019,\n", + " ),\n", + " right=pd.DataFrame({\n", + " 'GEOID': geo['geoid'],\n", + " 'visitors': out.prevalence[0, :, 0],\n", + " }),\n", + " on='GEOID',\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " STATEFP COUNTYFP TRACTCE BLKGRPCE GEOID NAMELSAD MTFCC \\\n", + "0 04 013 421702 3 040134217023 Block Group 3 G5030 \n", + "1 04 013 040531 2 040130405312 Block Group 2 G5030 \n", + "2 04 013 092312 1 040130923121 Block Group 1 G5030 \n", + "3 04 013 092721 1 040130927211 Block Group 1 G5030 \n", + "4 04 013 093104 1 040130931041 Block Group 1 G5030 \n", + "... ... ... ... ... ... ... ... \n", + "2489 04 013 811900 2 040138119002 Block Group 2 G5030 \n", + "2490 04 013 812000 1 040138120001 Block Group 1 G5030 \n", + "2491 04 013 812000 2 040138120002 Block Group 2 G5030 \n", + "2492 04 013 523002 3 040135230023 Block Group 3 G5030 \n", + "2493 04 013 523102 3 040135231023 Block Group 3 G5030 \n", + "\n", + " FUNCSTAT ALAND AWATER INTPTLAT INTPTLON \\\n", + "0 S 310375 0 +33.4123043 -111.7788867 \n", + "1 S 616061 0 +33.6422660 -112.3722104 \n", + "2 S 295623 0 +33.5654583 -112.1989360 \n", + "3 S 1108648 0 +33.5408739 -112.2472748 \n", + "4 S 168697 0 +33.5113085 -112.1797305 \n", + "... ... ... ... ... ... \n", + "2489 S 771839 0 +33.2801026 -111.8638617 \n", + "2490 S 1279036 0 +33.2802159 -111.8501034 \n", + "2491 S 1360898 0 +33.2876864 -111.8502128 \n", + "2492 S 666349 0 +33.3097028 -111.8546715 \n", + "2493 S 953890 0 +33.2952931 -111.8306239 \n", + "\n", + " geometry visitors \n", + "0 POLYGON ((-111.78406 33.41540, -111.78259 33.4... 0 \n", + "1 POLYGON ((-112.37679 33.64389, -112.37673 33.6... 0 \n", + "2 POLYGON ((-112.20294 33.56672, -112.20293 33.5... 35 \n", + "3 POLYGON ((-112.25507 33.53763, -112.25507 33.5... 45000 \n", + "4 POLYGON ((-112.18194 33.50955, -112.18193 33.5... 7 \n", + "... ... ... \n", + "2489 POLYGON ((-111.87111 33.28352, -111.87031 33.2... 0 \n", + "2490 POLYGON ((-111.85867 33.28374, -111.85848 33.2... 0 \n", + "2491 POLYGON ((-111.85885 33.29153, -111.85853 33.2... 0 \n", + "2492 POLYGON ((-111.85910 33.30737, -111.85908 33.3... 0 \n", + "2493 POLYGON ((-111.83702 33.29890, -111.83656 33.2... 0 \n", + "\n", + "[2494 rows x 14 columns]\n" + ] + } + ], + "source": [ + "print(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 8))\n", + "norm = Normalize(vmin=0, vmax=20)\n", + "sm = ScalarMappable(cmap='Reds', norm=norm)\n", + "df.plot(ax=ax, color=sm.to_rgba(df['visitors'].to_numpy()))\n", + "cbar = plt.colorbar(sm, ax=ax, orientation='vertical')\n", + "cbar.set_label('No of birds moved')\n", + "plt.title('Bird Movement')\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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/example_long_birds.ipynb b/doc/devlog/example_long_birds.ipynb new file mode 100644 index 00000000..cd5b113c --- /dev/null +++ b/doc/devlog/example_long_birds.ipynb @@ -0,0 +1,143 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pygris\n", + "from matplotlib.cm import ScalarMappable\n", + "from matplotlib.colors import Normalize\n", + "\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "from epymorph.initializer import bird_movement_initializer\n", + "from epymorph.engine.standard_sim import StandardSimulation\n", + "from epymorph.simulation import TimeFrame" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "geo = geo_library['maricopa_cbg_2019']()\n", + "\n", + "source_node = '040130927211'\n", + "birds = np.zeros(geo.nodes)\n", + "birds[np.where(geo['geoid'] == source_node)] = 50000\n", + "geo.values['bird_population'] = birds" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\util.py:183: RuntimeWarning: divide by zero encountered in power\n", + " ((normalize_distance / min_distance)**-alpha) # type: ignore\n" + ] + } + ], + "source": [ + "sim = StandardSimulation(\n", + " geo=geo,\n", + " ipm=ipm_library['no'](),\n", + " mm=mm_library['long_range_dispersal_birds'](),\n", + " params={\n", + " 'alpha' : 2.5\n", + " },\n", + " time_frame=TimeFrame.of(\"2023-01-01\", 10),\n", + " initializer=bird_movement_initializer,\n", + ")\n", + "\n", + "out = sim.run()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using FIPS code '04' for input 'Arizona'\n", + "Using FIPS code '013' for input 'Maricopa'\n" + ] + } + ], + "source": [ + "df = pd.merge(\n", + " left=pygris.block_groups(\n", + " state=\"Arizona\",\n", + " county=\"Maricopa\",\n", + " year=2019,\n", + " ),\n", + " right=pd.DataFrame({\n", + " 'GEOID': geo['geoid'],\n", + " 'visitors': out.prevalence[0, :, 0],\n", + " }),\n", + " on='GEOID',\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 8))\n", + "norm = Normalize(vmin=0, vmax=15)\n", + "sm = ScalarMappable(cmap='Reds', norm=norm)\n", + "df.plot(ax=ax, color=sm.to_rgba(df['visitors'].to_numpy()))\n", + "cbar = plt.colorbar(sm, ax=ax, orientation='vertical')\n", + "cbar.set_label('No of birds moved')\n", + "plt.title('Bird Movement')\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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/example_mosquito.ipynb b/doc/devlog/example_mosquito.ipynb new file mode 100644 index 00000000..151c8ae3 --- /dev/null +++ b/doc/devlog/example_mosquito.ipynb @@ -0,0 +1,134 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pygris\n", + "from matplotlib.cm import ScalarMappable\n", + "from matplotlib.colors import Normalize\n", + "\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "from epymorph.initializer import bird_movement_initializer\n", + "from epymorph.engine.standard_sim import StandardSimulation\n", + "from epymorph.simulation import TimeFrame" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "geo = geo_library['maricopa_cbg_2019']()\n", + "\n", + "source_node = '040130927211'\n", + "birds = np.zeros(geo.nodes)\n", + "birds[np.where(geo['geoid'] == source_node)] = 50000\n", + "geo.values['bird_population'] = birds" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "sim = StandardSimulation(\n", + " geo=geo,\n", + " ipm=ipm_library['no'](),\n", + " mm=mm_library['mosquito_mobility'](),\n", + " params={\n", + " 'max_distance' : 5000\n", + " },\n", + " time_frame=TimeFrame.of(\"2023-01-01\", 10),\n", + " initializer=bird_movement_initializer,\n", + ")\n", + "\n", + "out = sim.run()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using FIPS code '04' for input 'Arizona'\n", + "Using FIPS code '013' for input 'Maricopa'\n" + ] + } + ], + "source": [ + "df = pd.merge(\n", + " left=pygris.block_groups(\n", + " state=\"Arizona\",\n", + " county=\"Maricopa\",\n", + " year=2019,\n", + " ),\n", + " right=pd.DataFrame({\n", + " 'GEOID': geo['geoid'],\n", + " 'visitors': out.prevalence[0, :, 0],\n", + " }),\n", + " on='GEOID',\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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uu+220KxsppUlU3uEEEKqFyolhJCSMmvWLJx66ql4+umnfe5CQbbffns89NBD+Pjjj30Whtdee03vV1iWhUMOOQSHHHIIrrrqKvzkJz/BD3/4QzzyyCOYOnUqtt9+e/zzn/+ElNKndLz++usp/W6xxRa+7FaKf/3rX9hxxx0zXls6hSaXa4nCCSecgJtvvhmWZWH27Nlpj9t+++1DrzGs36OOOgqnnnqqvidvvPEG5s+f7ztv/Pjx+OSTTzB16tScxpsr48ePBwCMGDGiaH2luzeEEEIqE1qMCCElZciQIVi0aBEuvPBCHHnkkWmPmz59OpLJpC8dLQBcffXVEELoDF5hqWT32msvAEBvb69ua+3atbjnnnv0Md3d3fjVr36Vcu748ePx9NNPo6+vT2/705/+hDVr1mS9tsGDBwNAilIT9VqictBBB+GSSy7BL37xi4z1XaZPn46//e1veOqpp/S2rq4u/OpXv8IOO+yASZMm6e3Dhg3DtGnTcNddd+HOO+9EU1MTjjrqKF97xx13HJ566iksX748pa9Nmzal1KDJl2nTpqGtrQ0/+clP0N/fn7L/3//+d85tDho0CEDqvSGEkEywTkl80FJCCCk5c+fOzXrMkUceiYMOOgg//OEPsXr1auy55574v//7P/zhD3/AGWecoVfTL774Yjz66KM44ogjsP3222Pjxo24/vrrse222+oA75NPPhm/+MUvcOKJJ2LVqlUYPXo0brvtNi2omnz729/GPffcgy996Us47rjj8Pbbb+P222/X/WVi7733BgDMmzcP06ZNQyKRwOzZsyNfS1Qsy8KPfvSjrMedd955OgXzvHnzsOWWW+LWW2/Fu+++i9/97nc65kbx1a9+FV/72tdw/fXXY9q0aSmudeeccw7uu+8+fPnLX8Y3vvEN7L333ujq6sJLL72Ee+65B6tXr/a5e+VLW1sbFi1ahK9//ev49Kc/jdmzZ2P48OF477338Oc//xmf//znUxS8bLS2tmLSpElYunQpdt55Z2y55ZbYfffdsfvuuxc8XkIIIcWHSgkhpCKwLAv33XcfLrjgAixduhSLFy/GDjvsgJ/97Gc4++yz9XEzZszA6tWrcfPNN+M///kPtt56axx44IG46KKLdAD1oEGD8PDDD+N73/serrvuOgwaNAhz5szB4Ycfji996Uu+fqdNm4Yrr7wSV111Fc444wzss88++NOf/uTrMx1HH300vve97+HOO+/E7bffDiklZs+eHflais3IkSPx5JNP4gc/+AGuu+469PT0YPLkyfjjH/8YWgF+xowZaG1txccff+zLuqUYNGgQVq5ciZ/85Ce4++678Zvf/AZtbW3YeeedffNdDE444QSMGTMGl19+OX72s5+ht7cX22yzDb7whS/gm9/8Zl5t3nTTTfje976HM888E319ffjxj39MpYQQkhEGuseHkDKH8sKEEFLFrFixAgcddBAeeeQRX7V2Qggh9U1nZyfa29txeesWaClzTFqPlDhv80fo6OhIyTZYT9BSQgghhBBCCAABwEJ5lRIB2gcAWowIIYQQQgghMUOlhBBCCCGEEBIrdN8ihNQNX/ziF8EwOkIIIelgoHt8cB4IIYQQQgghsVITlhLbtrF27VoMHTqUVXwJIYQQQioQKSU+/vhjjBkzJqVuUqUQRzHDypyJ8lMTSsnatWsxduzYuIdBCCGEEEKysGbNGmy77bZxD4NUGDWhlAwdOhSA85DXc35nQgghhJBKpbOzE2PHjtVyGyEmNaGUKJettrY2KiWEEEIIIRVMJbvaM9A9PjgPhBBCCCGEkFipCUsJIYQQQgghhWJBlL2ie7n7q1RoKSGEEEIIIYTECi0lhBBCCCGEgDElccJ5IIQQQgghhMQKlRJCCCGEEEJIrNB9ixBCCCGEEADCfZW7T0JLCSGEEEIIISRmaCkhhBBCCCEEDHSPE84DIYQQQgghJFaolBBCCCGEEEJihe5bhBBCCCGEgBXd44SWEkIIIYQQQkis0FJCCCGEEEIIGOgeJ5wHQgghhBBCSKxQKSGEEEIIIYTECt23CCGEEEIIgVNdvdwr9gxzd6ClhBBCCCGEEBIrtJQQQgghhBACx2pRbssFLSUOtJQQQgghhBBCYoWWEkIIqTb6e4FkPyAsQAj3rwVYlreNEEJIzlhCwCrzdyiLJzpQKSGEkGrDSjh/k/1AMhlygPAUFK2oGAoLlRZCCCEVBpUSQgipNiwLSA4gvSeyBOwkgCQQqrMErCpUWgghhMQMlRJCCKkmpAR6PnH+5t2GDSTt9PsTjQBkiFsYXcMIIbUNA93jg0oJIYRUFbIwhSRSF7ZraQkhaFkJKixUWgghhOQBlRJCCKkqYhb6pQSk6xoWhk9ZCQThg0oLIaSyoaUkPqiUEEJINaEEfZnB/SpOpO1aWtLsD1pX6BpGCCEEVEoIIaT6SDQAA31xjyI/MsaziMwKC5UWQgipWaiUEEJItSClI5gnGqtXKcmIkTUsjLB6LHQNI4QUEbpvxQeVEkIIqXSkBAZ6naKJLUPTB6HXOpFcwxKOcmIlaGUhhJAqgkoJIYRUMgP9QN9mAG7Grb5uwK7QeJJKINkfvj0YdM8AfEJICEIIiDJ/HwjaSgAAVi4HL1q0CJMnT0ZbWxva2towZcoU3H///SnHSSlx+OGHQwiBe++9N2ObUkpccMEFGD16NFpbWzF16lS8+eabOV0EIYTULhJaIQFcK0mJUwJXJVkUC+m6hiX7HYtT32agtwvY/DGwudP529vlbO/vdY6zk6VPv0wIIQRAjkrJtttui8svvxyrVq3Cc889h4MPPhgzZ87Eyy+/7Dtu4cKFkbXMK664Atdeey1uuOEGPPPMMxg8eDCmTZuGnp6eXIZGCCG1SaLRWdEnmbGswtzapA0kB5xYnf4eoLfbKVK5udN59XzibOvvcY5JDrjuZFRaQpHSmZ+BPm+OKjVjHCEGIqYXydF968gjj/S9v+yyy7Bo0SI8/fTT2G233QAAL7zwAq688ko899xzGD16dMb2pJRYuHAhfvSjH2HmzJkAgN/85jcYOXIk7r33XsyePTv0vN7eXvT29ur3nZ2duVwGIYRUD0r4JZmxk4BIuDVUioxZmyWs+ZRMYYFg/HpAKXXSLe6Z7HeVEQlgs6NcJ/uB5sFezA8hhBjkHVOSTCZx9913o6urC1OmTAEAdHd344QTTsAvf/lLjBo1Kmsb7777LtavX4+pU6fqbe3t7dh3333x1FNPpVVKFixYgIsuuijfoRcHKV0/76wH5rUr7zYrlUyriaX60Tb7DPZRCaub6kc50eikeK0X4YVER9pODAmJhiyhYpKx3wxpjkUO66BRvwMyfbeVEzUOIdw4pwzfqyrWp7fL+ds82PneI4QQl5y/EV566SVMmTIFPT09GDJkCJYtW4ZJkyYBAM4880zst99+2uqRjfXr1wMARo4c6ds+cuRIvS+M+fPn46yzztLvOzs7MXbs2FwvpXDSBVSS3CiHflABOkgKNpwfcyV0Wg3Oj3Si0Q2+JXWNbXsCHKleZCAmKOOx+bSfxznFJp8x9HYDg9qKPhRCCsVCjrENReqT5KGUTJw4ES+88AI6Ojpwzz33YO7cuVi5ciXeeust/PWvf8Xf//73UozTR3NzM5qbm0veDyElRQj/j7k94Lz6exy3D2VBUSlOSX3R1023rbzgnFUFDY1xj4AQUmHkrJQ0NTVhwoQJAIC9994bzz77LK655hq0trbi7bffxrBhw3zHH3PMMfjCF76AFStWpLSlXLw2bNjgiz/ZsGED9tprr1yHRkh1oYJyw9xNpO3UpRjoBSA8CwrdvOoDlSmKkFploM+1CnPRhVQWcZQ14ifAoWCLkW3b6O3txXnnnYcXX3wRL7zwgn4BwNVXX43FixeHnjtu3DiMGjUKDz/8sN7W2dmJZ555RsepEFL9ZPi6EZbrB5/pK8kNGu3rdrMAdTkpSym0EpIKM5VVDyoFMyGEIEdLyfz583H44Ydju+22w8cff4wlS5ZgxYoVWL58OUaNGhUa3L7ddtth3Lhx+v0uu+yCBQsWYNasWRBC4IwzzsCll16KnXbaCePGjcP555+PMWPG4Kijjir44gipDDIlO7DhJQQMOy5ku3bzguvm1cAVx1qjEhIxVCt0easumIWLEOKSk1KyceNGnHjiiVi3bh3a29sxefJkLF++HIceemjkNl5//XV0dHTo9+eeey66urpwyimnYNOmTdh///3xwAMPoKWlJZehEVK9hNVXsBLRiuSpOgADffDcvFwlhQpK9ULBOn+kND4/pGKxEkBjCzNwkYpDuP+Vu08CCCmrf0mus7MT7e3t6OjoQFtbmbJ5SOm40hBSMK41xEq4xbsDqTWFlZ+QaiX8wfKkOpDScc8b6M1+bKmgUE9KiZUAmgfR1a4OiUVei4ga22+3GIFBZX42u6WN4z/aWJHzUk64REFI7Bgru0ox8e3Oc9XcTjovunlVD3bSyb6WHIh7JNUPFasKRXgFFAmpQOKosM5PgwOVEkIqAduNLVGKiRKmiiVY0c2rcrFtRxGxBxhLUkw4l5UJF0UIIWmgUkJIuQm6aQVTAvuqJJdipdfN5pXsB7CZRRvjRtosxFoKpJ2/6yMpHc2D4h4BIRmhpSQ+qJTkDVfhSESUb6qq7BxUNIIJtqQ0fK3L8JyxaGM86NiRvrhHUsO4nx8VU2UH4rVI+ZG2sxBDCCEBqJQQUmrSrtQKxzIh4a7oukoLpPvvGBQCs2ijEI4VpaHR+UsFpXhI26k3w1X80qKsjuZCQFixUlI+ej4BWtv4fUIISYFKCSHlRiQcfcO2s7hnyXjdT6Tp5oVAVXm6eeWMyqiVaKR1JE6UQiIE407ioLGFCgmpaCwAVpkfUYtfRQColBBSWsKUCpmsTg+S5ICXFcpKGIHyFoWMqEhJhaRSoEISD6xLQghJA78dCKlkpF2ZqU11uuFephuOSqLRmTMGtVcOlfjZIoTECosnxgeVEkJKRbFcr+xkZWcRCk03rNy8+EXrEZLkgMSLnWSMSbnp73HqlBBCSAAqJYSUgmKvwFZNetNAHArTDXsM9KE6/fZqHd6TspIc8OoxEUKIAZUSQoqNsEqzIl7xCkkIwXTDOhalDoPlm1oB2Qz0dtNiUklUjcJfS9CCSiobPqHxQKWEkKIiSivcVLPwJG0gaRQKrMdgeVUHhkpJZaFTcNNqUnIamynxEUJCoVKSL/ztImFYJbKSKFThsVrwgfcFywujaGONx6JUskJSL8phCpJB7+XCVxyWkMpDiPJ/Ddbl124IVEoIqTqq1FKSCZUqV6XLreWaKJUo+CqBXNrOgktd+vtzpSlWpKRkRkidQ6WEkGpDxlxUsRzUak0UKSvvvpUqBqrqqOLnqppINKZu69vsLEgkGoGGJqYWJ7EiUP5vAz7tDlRKCCkW5XT/qKfg3KCbV0OT4+JVjYJLnPdLKXTmM0qXJVJupO23iiQHPAupmbmvocmzlhJC6oIa84sgJA5EqrBXDqRdf2l2pXSEmN4uYHOn83egr/KVMynjqyAuhKfAqZo3ahs9lki56dsMbP4Y6OtxPru9XeHHDfRRYSYkDclkEueffz7GjRuH1tZWjB8/Hpdccgmk8TsjpcQFF1yA0aNHo7W1FVOnTsWbb74Z46izwyUIQgpBBZ3HJtxVmaWg2KS4eRlxKJVkRUkOAH3dKNn9ymQ1C7pnqeNqIVlCMaGCVkYkMNCb/TBaSUgMWBCwyvzbmmt/P/3pT7Fo0SLceuut2G233fDcc8/hm9/8Jtrb2zFv3jwAwBVXXIFrr70Wt956K8aNG4fzzz8f06ZNwyuvvIKWlpZSXEbB8BNPSN6I+AU7ClIe2s0LbupdVbSxAty8Eg2lc5WyEpmtMNmeEbpwOTAjcGVhJeo04QIh2XnyyScxc+ZMHHHEEQCAHXbYAb/97W/xt7/9DYBjJVm4cCF+9KMfYebMmQCA3/zmNxg5ciTuvfdezJ49O7axZ6LOfD8IKSYVIMHErRRVKtL2XEM2dzoFCwf6y+tCFXTZKkXfURSKbPoYFRJSiVS6SyapWURMLwDo7Oz0vXp7wy2K++23Hx5++GG88cYbAIB//OMfePzxx3H44YcDAN59912sX78eU6dO1ee0t7dj3333xVNPPVXoFJUMWkrypgIEUkIArnRHwQygLUe64f5ep4o9ULqEBMK470Kk/0qyI/RdK7Vv8kFYjsLIz1AFIYDmwXEPgpCyM3bsWN/7H//4x7jwwgtTjjvvvPPQ2dmJXXbZBYlEAslkEpdddhnmzJkDAFi/fj0AYOTIkb7zRo4cqfdVIlRKCMmLCvL1qDdhqlCLQ6nTDScHPIUEKJFCYhlKhACkG7hu20h5LqMU9JRJv2Ji2+EKm5ROe1HuQaa51BXUvUvIG5XNKV+E4Kp8paHcHQmpM9asWYO2tjb9vrm5OfS4u+66C3fccQeWLFmC3XbbDS+88ALOOOMMjBkzBnPnzi3XcIsOlRJC8kGI+LIphVFP1pJiCpDFrCovpWON6dtcvPGFEbzXlgVAepm18n0ufXp2hmxhUZ8zkeGZDF5DIR8lYRXWgJ2sr88PISQjcVZ0b2tr8ykl6TjnnHNw3nnn6diQPfbYA//617+wYMECzJ07F6NGjQIAbNiwAaNHj9bnbdiwAXvttVfRx18sGFNCSF5UUGYnUhxUVfne7tzTDdu2c3ypFRIEUk+ny6yl9+cgbEdx8yoWlaYAVNICA3GUe94TQtLS3d0NK1ASIJFIwHa/x8eNG4dRo0bh4Ycf1vs7OzvxzDPPYMqUKWUday7QUkJIPlSQ9xaAyhPyaoFc0g3395TnHphuWymxKoGHMufVf1lei4FllVcRItUDXbdIjFRDRfcjjzwSl112Gbbbbjvstttu+Pvf/46rrroK3/rWt5z2hMAZZ5yBSy+9FDvttJNOCTxmzBgcddRRRR9/saBSQkiuVKqrR71UeI+DSkg37IsjCSDhxY6oFMG5PqM5Bf0XQyuvIGsjPzcVRgz+M4RUEddddx3OP/98/L//9/+wceNGjBkzBqeeeiouuOACfcy5556Lrq4unHLKKdi0aRP2339/PPDAAxVbowQAhJTVbyPt7OxEe3s7Ojo6IvniFQU7CfR8Up6+SGVRycJ/JY+tVkk0OgLUQF+JOwoqAsZ703qTizIiEsbzIov7/GRT3oul3BdrzJW62FCvJBqAxhZaTWqMWOS1iKix/Wmr0RhslTe6ocu28eX/rqvIeSknjCkhJBesRGUL/dKGs8rIj3bZSPaXXiGxEkixTARXkpU1J2ek13a5nm0hKk8BqP71udpCZbGrtOeEEFIyKLkQkgtVIbhIR7ikYlJmSuVukkaANxUIU0EpdGU5yvkFPVsVlrkO4GelUkkOOB4Jvd1xj4QQUgYYU0JIVKqtnoFSTKppzNVMqdJEWwKwg1YSNw2uhPHXJfIY0ihROrVw2HMj3PFEeKbSDaPS0mkD/IxUOpX2vJCaxnK/5srdJ6GlhJBoiER1/jDSYlI+ShGYK9JlqFJ1RKT3Xt3nyOOQbtHEsCKJIX3qeigZBHizrXRB+ZUWwFxm33GSB4UWyCSEVAW0lBASiSr+QaTFpHoJE8TMyuu+41SgevB4N8GltD0rhemiZad5PtQ2kXCMKpGsIwU8Y6q/cqYKTqv0kYpC2kBfN9A0qPKUWlJzVENK4FqFS0SERKHaBXpaTKqPsOB2RzsIOVj6/y0s53yVHlg9v1JCx6ioVzpLgVZmVQB9FsU86vMV1oypFNnlfFYpClQNKr6EFhNCahZKKYTUC1RMSkyRhCWlUIQFt1tWGuuJct1CuAItLOPeB89PG/yRmzIu7YhB8oH3YRntyrUans7FjFQmdLUjpKah+xYhUamFOgYqZXBVuKOJNEOt0LHbhntU3riKQLom0lkR1H2VxvsU3SPETUs902FtqmKMUYnqdhXWPyFRaGyl+xYpOXTfig8uOxBSbwj9v8pGC/jBVyVT4FdqVoHLdcUKvtS56c7X7ltujAjgxlNkUAhydVmU+n9ZjnNdyEQuColbe0cELTEFKIEsylddWAlaSgipcWgpyRf6tdYftXLL1bNb6avUyh2okscYRGZKp5uFUl2rsoJI6Sp6SddlKst5pXzes1mUghYhM/uSql6vtok0Lm2ktkg0xj0CUicI979y90loKSEkOjKJqrAwRKUagverYYxB8nlEslktonbsa0P44zV0nR3XzSvrOEso6Es7S/8Bi1DwXDuZvyIiLOi5YoxV9UClhJCah5YSQnIhVz/7Soary8UnSopZkQCEW/DQdKsqGMMCZrzVKX3VvwE3I5dxLCQAw51JCMAeKMKYMiBEdr1HWN7YpXDmrdAUvmZ9lyhjIJUBY0lImcjkCVvKPgmVEkLqm4qvX1ItQfk5UoraGKaSqRRnicyxG2kTb1VQvIU5V4U8Cto9LmSeSOXTtxloYqA7IbUMbdeE1DOqoF4tuaXFRVhq2zBKpgRWmfJWzqKFGS2cfPargmQ/lUhCahxaSgipd6Q0qnZX2I9+tbjX5BSkXg0XVGJEwl/XxLa9zErq33YRY7g45bVBb5fzt6kVaGiKdyykZrFQ/hV7WggcqJQQQjyFpNKyXVVT3IsvW1Sa9MWldJdTWajC6roEA7qzucD44k2yHKcyjuUi+SuvPPNZC/67GC5kKlNXume64LoyJBb6NrspgivIzZAQUjBUSgjJhVoVYNRl2cnoRfDKQbUUe5QyRNkIGXcpLT86TW5QABeBbREqteeinOajaGVr20q4z6DMrX2lhABG9q4sx7Oqe3XS2wU0DQISFGNIcWHxxPigxYiQXKiHIMt0VcPjohrmPGyMVti4S5lmt+gHloZsq9vBgHQZ8XlUyoudjJ4yuJKsgiQ3pAT6e+IeBSGkiFSQ5EFIhVNprk2lRAuCVaAQVAJhliXbThXAS2mBirziX8H3NN1nTFnMghW91XsRwfpDagth0X2LkBqDdk9ColBPColCu07F7D5V8S5zGeZHB2vLzMcVbSghrk4V5f2WIb4DyHKvJWBLT1mWtvMewn1Mo66xqT5ycTsLqzZZMZNaX1gNQHNrZVlzSW0hBAQLlcRCTp/qRYsWYfLkyWhra0NbWxumTJmC+++/X+8/9dRTMX78eLS2tmL48OGYOXMmXnvttYxtfvLJJ/jud7+LbbfdFq2trZg0aRJuuOGG/K6GkGKjMwLVmUKicQO24/rCzDWAOg6yzY3aX5Y5dKt+WQn334niBY0XihnvYW4zrR9RUypL5d4lXaUrUAE+40u6L6ONbC8hQraTWLASVEgIqVFy+mRvu+22uPzyy7Fq1So899xzOPjggzFz5ky8/PLLAIC9994bixcvxquvvorly5dDSonDDjsMyWR6ge6ss87CAw88gNtvvx2vvvoqzjjjDHz3u9/FfffdV9iVEVIwwl2JJU7a4BgEgVpYPVKpb8tyLdITuiGdCuhqe5woC06Y0pGTS1sNPA+kMBjYTkqMiOlFACFlYb4RW265JX72s5/hpJNOStn34osvYs8998Rbb72F8ePHh56/++6746tf/SrOP/98vW3vvffG4YcfjksvvTTSGDo7O9He3o6Ojg60tbXldyG5khzwcqaT2qSeXLZEIlpMQtkrwFeU71E4UZ+Tcs+dOa7g/dUKpplCWIafm41s15Vpf9ZzjXFrt63AuMoxr0wdXBkIC2gZUhuLFXVKLPJaRNTY/jpiGwwJxq+VmE9sGwdv/KAi56Wc5D3ryWQSd955J7q6ujBlypSU/V1dXVi8eDHGjRuHsWPHpm1nv/32w3333YcPPvgAUko88sgjeOONN3DYYYelPae3txednZ2+FyGkAKL+xkfNhFQ0akgQlHZ53KjMlLhe535BTu+zUvcVbyAh4zCwEhGUCeP+p7O0kPpB2k5ld0JITZKzHfSll17ClClT0NPTgyFDhmDZsmWYNGmS3n/99dfj3HPPRVdXFyZOnIgHH3wQTU3pK69ed911OOWUU7DtttuioaEBlmXh17/+NQ444IC05yxYsAAXXXRRrkMnJDcqpVZHpaHckerFipSNXPQmmXQUgDDFThZJOZDQuoaz7KRW+YWnfKpimfoN/GMKuusJkf7zoBMiBBCmU0LIJEnVp9pnWMXSWiVqSEkl+cHCiaTEsE5JfOS85Dlx4kS88MILeOaZZ3D66adj7ty5eOWVV/T+OXPm4O9//ztWrlyJnXfeGccddxx6etLnEr/uuuvw9NNP47777sOqVatw5ZVX4jvf+Q4eeuihtOfMnz8fHR0d+rVmzZpcL4OQzFgJ1JUAFFQwsllDVPX3clAJQdoZyfE5kdKrpWG+zBobhbxk8K8bGO57Bawo2YLD9XWGvdLs08UcXeuarjjvKkhKQVPbhICTEcucT/5UkxB6uuhOR0gNUnBMydSpUzF+/HjceOONKfv6+vqwxRZb4KabbsLxxx+fsn/z5s1ob2/HsmXLcMQRR+jt3/72t/H+++/jgQceiDQGxpQQUmSi+umXw2ISNd4lLoo2ByWKn7Esv5Ujn/EWck7Yuer58sWMmPfZzSIWJZZDmspRiWBMSWXB2JKqpRpiSlaM3DaWmJIvbni/IuelnBScxsK2bfT29obuk1JCSpl2f39/P/r7+2EFbn4ikYBd8a4z/IGqWcoezF2JRPyxTyd0FhNp1vogOSMD9zIv4TqPc6T04kaUlQQy8Pky2hUAkPD+bScRqZaICFpXSM3T1EqFhJAaJCelZP78+Tj88MOx3Xbb4eOPP8aSJUuwYsUKLF++HO+88w6WLl2Kww47DMOHD8f777+Pyy+/HK2trZg+fbpuY5dddsGCBQswa9YstLW14cADD8Q555yD1tZWbL/99li5ciV+85vf4Kqrrir6xRISCSEo/+aCnfQLmkpJKaZyZ1mVG8NSDQso2gVORr8nImGEhOT5gdD3THptancu1bjbj6ohoo4jJAzWKCElxhLOq9x9khyVko0bN+LEE0/EunXr0N7ejsmTJ2P58uU49NBDsXbtWjz22GNYuHAhPvroI4wcORIHHHAAnnzySYwYMUK38frrr6Ojo0O/v/POOzF//nzMmTMHH374IbbffntcdtllOO2004p3lYTkgkTluwxVGqYrjhIsQ4XfDIHPmbCTOayMKmWohJqlT8iXRXLvKdF4zfuQi7BvKgl5ERb8Di+mBPCUFi4CkKg0D2KQOyE1SsExJZVAPDEl/UBvd3n6IuXDVEbqOcNU3kqZBSBuy0Eerl66BoarzAQtPwqZxtJQFKtQiV3ULMuNQc82zjwVx5Rmwp4hdY0is/UrF2sb65TUDw1NjusWqVqqIabk0VHxxJQcsJ4xJSyNSogPQ/CwGcuQO3Z5hMR0FNK3KUCbbURSTIthe5elVYTtLAHhKlVxqfo3r62S3fFI5ZLsB2QL40lISRGWgCizP5VgpkEAVEoI8RMUaOt2hbSAa/bVrSjz3Mk8laK8lahqUlrDxumOXykMRXVZlJ51BvB/jmQgziUoZCoXSiC7q07Fx/SQopFopEJCSA1DpYQQRandtaxEiFyYQ+BxVaHiBuIQ2svYn7DcehtF6rZkz58xwJRUvcLLlFXU/g3FNGiBUc+8UiCDc2e6b2VTOio1+5aZcYwUByqgpAyobOTl7pNQKSHEI0ywKXb18uBKdKVmkilKBjKVSanM1iZVjTxXZc8smBmb8FMqJU5VdBfes2xmxpLS7TZLrEdeXbsB8wJGeuJ6ENSFq5e5VetNoUMKI+0xiYw94NQIsxKU4gipQSpUIiKk3Ij0QmyxBIfQdoQrDNfwD6xSEsrap51fhh7bdl5Rs1Sp26ZW9QullMGVkRQ16VlRioGeS2k8B6ZCUuPKibTdjHS292zZ7jYqJPnR21Wj1mVCCC0lhADZV4dLVbVbJt1F7ApzQSn2WPKN9YiLfAo2FmPOSvkM5HI5xUjyoKyCvmx2wfsf7CMktiRrP9kOStdHoXNdhIWE4OdeZFgcIR60kpASQvet+KBSQgiQ3V2nWMKiikFIab/IbmKFUooCkuVWTCT8gdYKgfD7rbbpVLYRhF3f/VKWAOE7RI8lShB5KQt35vpsFcPtzkpA13Gxk4bVJN0z4AbAq7FG0YvSjVM/azJkW4bzIlMMJTQwD7qGSwUtUFQaDU2V6/ZKCCkIKiX5wt+M2qGcgnImeaMegjjLqXwpK1TK9rQnuJXGMx1jEKZgpgiZweOrKFVyMe6V7SoFEv4A+0zzW4hMrpY4bTv8es1tFfsdXuLU0NVOosFR3lRBVRZSJEVGCAFRZtNFufurVLjcQEgUiiVMZlyZlZXzA1tKgU2vmFcagUDwCIdnJHgvo/7oFGsVWFjGK88fvELiS8zEAUB0pbuQPqWsDeW+Fq6hVPR2Az0fO7ElA31xj4YQUkRoKSGknKvX2fqybS/YWbpLxrGsrpd4GbkkKWgLQFkSVCxFVt9+Q3mxQtLWhsUo5SRoWgAKuO9mul9lqcjXBOFLH5zjeWH4FPMiPmfaGmQ4hPuUzBJkFisZFWvGqQzUMzTQ52Tjah5UmPJNiAFjSuKDSgmpbypJMAbgZD8K+MA7/yjvMITwlKLiNOj80UKh7cjcxZh/JYzYSbd9IGeB3qeAyOxKky8eIeTehE5bxFTFan9Oc+MK3NJVYnVxQumNsxCBPNfAd5FwDw8WTHSfZ6Fq2CD811jFH0WJsVHPqu7LuGbfuTLk+qN+rkTuH8FiLCYIAa9WCxWVUKQN9HzizFNTq+PeRQipSvjpJfVNuTNe5erbr48t8zjN1eWC+g5YHVKsB0kjsDzs9IhCvBqireIg8hyrz90oooUgdH8apUZXu88yp2bxQBUjoeu+mCl23bkNKhy+wHJAFy8sRAnMRamRSQCJNIHc+k22RhDJwzjvAoU5nhNHdjwpvc9GNWWviwNpA/09QGJI3CMhhOQJlZK84apV9ZNj+s1cBTqViUnJoKJG/N2jola5syoVycoQuJTbnG17wn7wfluWY8kKViQ3UUpW2rTCEb47lABsFtgz27USnkUEyB6HIW0jq1UBbly5KFQ1RQVkxCplZrZawU4CA/2OtYT+MCRPGOgeH1RKSP2SqzuLnYPwbMYZGF4ldUOugmkl1DExhXxhpBJWyoCwQpTKLOm9VEpinyUoBwHX7M88TT+LxsMVNt/aFcx41vOVr1V634wWAyOGwyxgqd2pqlApj/u5JLnR1+0oJU2DqJgQUmVQKSH1Sz5WiyjCSajwWieoWIF8VspjV0wsAAHlQVdYD3EjSqd46VoTCN+fqT6GPlfF4Bh92IZ1JiVLWLogbiOjm5nVy1KKlrv6nlV4E4A9kOUY+MdgCeOakN9Kv0olnA0zm1swjkT1na59wLFi6hIhwQKOroWoqSXCgFMG5u9Iudylo7/XOy44WfW0qFEoyQFnLvO6Z6TeYaB7fFApIfVJIcKvL2WrCtaViDdbVomIYk0yBee8/ftdgoXtwuYyUwwKUIDrkBGIrRWBDLEuaftJFwAfktUrLHMX4CoMZhFBy6+0pUyxTD1W7wqZR/U+NCA8hEgpekMUJaXw2GlqxkRoMuv9zPY8ZLxXapxZ5sGynKJ9pWagL8MzByomuTDQ68xZQzMlPkKqBColpD4pxD87tChbQaOpTEQEF6xSxQ9kSmGrVrWLSc4JCCIMwBL+TGo6K5RxXWpV3hT6tcJgWo5E6lyrc8KC4E3KFYsQVGD1vy1P2YtDYacwX7/09wJWAzNyEVIl8JNK6pA83YvqjViFOdPlpxSDcC9OxWXkIixHVWCCbkCKFOuT8Fs59MSrDFsB643aH1RQ7KSryJRgVTjrPcjwmTLnivEZRcJNFSwA6DTi1LxCqZSCtKRqsISAVWbrWrn7q1SolJD6o2oKqFU4Wd1iikDQsgAUR/bS9R9yHX8OGdvSKXWmgO+r5eHGkgj1b3jvJby4CXWO+hGThpUkNNlXESYsWxvCyuxC5R2Ye9+5xpSE7k+nDFW6GUU5txuucMpFUgZc4qjwEUKqHColpP6gQlIEckynXBDSL3AVq998noPIwnea9kMFRyMYWsCLMdHWD/jjJlKyuQnP1cu2UwX0osyXTFUOtHVHRJ+TfNI/hxY8NBW7LDElijBXw1zuZymR0oknURYQHZuVLduZAVMGhyNDPhOEZICB7vFBpYTUF1EFGFJZFDszV77Wg0zxLCorlm7fyLikLR5hNUtMK1C6xjOMV2cIg/t8pz+0IILFF/X9CGYty0IcRQgBL42yGoNVQZYFVfiPlABKe4RUC1RKSH1RiiDpeiMuxa6oikmeD4GdoSJ7SpreQH86eN/cHJKhS/dlWBUyeRmpQHddBT5kVbjQeVPnm4qJqkOSs8UpxCWvXJhzUEkW02KkEI9L2at4OC8kNwRiKJ5I5RkAlRJSb9Rr/ZCikYOrTinIWxAGoGp55BrYnjoIhArV+cg+KXMZbFON06hdomNMzB8xtU8FPxuKo3a7UimJow7OuNdphXk1p3pQadoK2Rf5N1iN35h389rDlD1vRzg+F6lsGHNfKoqhaFMpCae/F2geFPcoCCERoFJC6odSpa+tF6yEG7MQs9tL0I0oE8pqIJOBwn4hxfZUrZlI8QmBYopKwI3iu27Kt0E5MtSAELDA6JiSNEpR0JKl5itrNfaIqPtvJQIFFQWANM9FWHIJcyjp7me6Z80X4B2SBlmPJyQ9shD+xQmV8SzsvutxlVjgj9P6V+sk+5G1aCUhpCKgUkLqh0rxH6821Oq6r0BizGRSTMyaGFIJ5PBqhqSrvyLhHRu1/2xjSRlboHaJdrmywoWmfIOXlaAdpfhg5oYMy4wKCnfHmUu7UllppHetJV0gCAbDm89EOmtUCOVaxCj0u6lkqbNrBAa7kxwQRmmlsvXJjy8AJ0KRkNpHu2uQyGirSIibSyXk/jcVAwCOAJ1wBU9VGd5coXfjQVS19EIIPk/phNds86Qya6UT0oWFvLQSFYdiF+Lu5g5Q33+3LVXMMezYtM0kA7/yRfws6uzJAROUlXCli8AzUYkU/N3En/KM9PXw+5+QKoCWElIfMF1mHmRw97HVinnMk+pzTbIjuF6l5NPNHXPVXSQyu7NlUwa0JSONUFmwrFoEZdy0bKj5zajkG7E7QWuNUmrM6cpUL8ZXp0aEP3JqHLrQpPu+mlw1C411q4CPYkVjDwC9XUBTa3qrJCEKUf5Adz6TDlRKSH1QTQJKtaAKEAYxhVGgtHMvDPendFYJHVcS9CtPhC/4ZwuCVvEUSGQX+FW8gy5FIlw7vSFFqqKHujhicFyGEpSJMItIvnOfUhcmomVJxR2ZaYN9FjfAH3uSpd6NMPenyZwnLEPXLJU1pIQCQ+SAe1IQdhLo+cR5XhqanBcFQUIqCiolpPZhbZLSIO3MspTaV6oEA2bhO2W1yFZozwwG14pCSDaubIHXOo7ETlXMzFoYwYKHgBf0rZQo5U6m0vmqSt2+4HSZeR5FAtp9TV13QRaSoLAWmB+lmEn336HWCWMMvixiZkxNBitJypByTLBQLYktKtmtrBZRNWESDZUbZ8LAfFKn0BGV1D71/qNvJdK/ypEbPSX2owhYbhyGZXkuVGZxPE2aWBilLKh6G+a+dASFYhX8nVJ7JJjZKaUht28j7iVMgdACtUzTjoullDPDfU1di47YNFIG62Go+y+8Y9T+4GORMj7TnUtZxgLzFxoPU0AaZW2hgheHo8amngETX82WChbwGOsQD73dlTn3A31AX3fco6hrVJK+cr8IlRJS6+QbKFwzuMJjulcwtW2p0DEoRUAX73PdeUwXnxTB1RW2LUNx0WOShnKG9IUHNSHPkbYSCK8trbyYFhgBWK5hWlUThzSUooBQbwWE6Yy/WEo4N4ZpDxjb1apr0GqkFArzZfRjhY1HvQ9T/gJWo3SucWEKRFR81iTl/uYmL9DJDZTSbVjSKvkXn+mA40HaTpxJpVjTpHRqqvRtBpIDlTMuQsoI3bdIjSL8wmo9EsVtrayyjMzdBScFy7MwKGFbCfWW5bkTma5d6lhpw5c61QzA1nOVbmxBdygR+Cu9yuqhArf0anpoJSQgwKvrURYMU7nSxxlBuup4W3rj05YO5Z5mLsEJ74+aC8D4C+9cpcBYDdAPiXbXSvqtUnpOIwj+KVakLA+gqVDp+iJZnh/l/qb7QIHPXIkpSjX3wpuoS+ykYzFpGRKv4qrGYT6nLPoYG47lorzPQyWvm5QTKiWkNql3hSSqP33VzZEp9CthPOm3gijFR2dck96/zQxNPlcsNVchaYxC59I0SxiuUaaikzYlkitkm9Xp9WGucqS2W1ZAaDXO030Z/Ujpt2qYShcCNTp0vIcxZ+o61PyIwHj0dQpPCYMx30rZivJcRTlGf46NIHeZw693NTzfRanmXgXXWalI27FMNDTGN4a+ntR7mOz3FlgIqROolJDapJ5/pHMJ8LWiCJA5LuFky1yVd+IBV/gWwqgkHrA4mMUIzSRXPmFcBWknU8/zKTMuaecycI3mNGW8BxKhvuxmZXId6A7DvUxZYlSBR9eqkjYdsR1QUAyFxZaAJby/un93blV2MSGQknlLJTgQFhwPYBXTAW/OhcpMlk4xK4Cw4HjzOpVVjIHuJCp93YBsiScjl20b32cB+vuAppbyjofEEuNBS4kDlRJSe9RVti3h9++XMjdBLNKxeQqVSsgOCl3KspGTMKbcs6RnDVDVuZWAbxkCunbhUu9hBLlLQ3Fx9xej7oopkNtBhUdZIZBqrdAuRqZLFLwxBt17gs922poh7txIeM+IL6bG+KvnwvhlVFnB1N9g7E3KZ0y5lQV+0c3zckXNj/mspMwHwj/vxXCLKgcFB1uXQPGrR/p7nCDzhiagsbm0fUnpxI7YA5nv/0CfMxZKrKROoFJCapA6+YFWvvyVuhqsM0FZbtxDwFoRRTFJyXhle4K6ciPSq+K2EdysYopgKCN2qgDgE8bN2IwIz5DpEqbHh1QB2VSAtJBvuDzpApDwy5c6I5aqdWLEkphjAOBYM6RfeNH1T4z2UuJR1DwCEA3udjgnqXnTWdpcBUeY2xEYt+EqJyxnHk1lzXS5i4LphulzG8twvKmkFS27Ugm/Uwq1lJhxUqQwlCtXqZWS/l7HPSv7gJzjGppKOx5CKgQqJaTGqKMf6Gq5TF/q2xwFMFOQD9a8MK0MSjGzk05wtm1kr9F1SALxDsrNzKxYrrJi+Qr9qcB4K8dtMNpx+7FNhcI4V1lqfOEjwj/2sLkz40FUXI12YTPjQJRlyTheD82tKC8Ny0wwLsV0hQqzfIS1KwxFyxfbAk950HEpEdBtm7ErAeXGrA1TDF/8ghMzZKEY31VBd0NSINJT2ktBcgAY6I1+fH8vkGiktaSMWELAKvN8l7u/SoURVKQGqYNf6GpNdewT2G34MkuFYRnuQ8pq4EtPa6SB9Rr2tpkWCuVKps/XS/iGUpB0BWXhb0uN10z1q2JQUtyeTLcyafRjtKfPM/tQgpAwUh4bY1To2iPKkiI8xUq7fynrhxX4d7B+idmOe65lKlpKeVBxI4Z1xKx3E3ofDUVNp0pWtU2MzF151bBxlQ/LiMNJOSRwX3LGVARLJDAwnqTysJOOK1cpFreSA04a4lyQGWJOCKkxaCkhpNqolgBeEzMGwbf6nOGHX8WQAN5quwpg9xr2VhDVvJgxD0qZ0bVBjKBus06HzjIVEsORbuzq377K5mocprIk/YqROjftXAFeRquQlfqU90b70oYOTPc9I2oujSxZvqQDykJkuMOZCpQOaBeGBSo47pDaJaoP00VN7VPudnbSP6ZcyPY5CAbFZ1WApHfvcqk2ny/VEvdSbwz0Oc9KMd2mbDt3hUTR3+dYS0hZYKB7fFApIbVFOQSJODGFworHDE43XX1CXLLCUHEophJmpshMSftsWAJUf7pf6RpVAqv3ZkV3IFXQVn3qSzJcZSRS74dOTaxiMMx98CwfZqE/PXzTRSqgfOUUyxziemY2pGI/UoopCicTlwwoF7oivIoPCew3XV3MrGemlUUrasL4xVftGpYgnbUrS9yIL64mTQayYHyOGX+VUbEXqd8jUkZQIIJzbVrIgrvcY4vxWa4Xd9Vy09dTPLcpKfNXSADPHTUvqyIh1QOVkkLI5npS9ZTQr7aYmH7sRRXYI1x7TkGmUY7LIn36gqArHOXiFLrPqLQdJuT6As/hP0YJtOqvTyhOIzj7EMatVa5Nxn20XMFYCdiWERCu9oe1pYV9y/+5UcqIjoER3vZge7roIbxjTSUMMNySBHzCuyk0B6056dI0m0qST6EKBKNniq3QAr57z3RMi6F86VOF//OqXewCNVCUe5jOtCbT96+VveC1QRt4fPFDYc9l0HoXVpem5+Pw/tMRJR6lGEImlZIS4SoSLUMKa2agrzjuYCymSOoAKiWFUA9pZ+v69y7CxRdbIMiq5JguNTWAKaCmw8ysZbuuRNL8C1fgT3hzl3V+XGUEqn9ztd1VBrS1RblgJf3CsrpXylpirtib1xR0N4NxTMqKvYrjUIpCuudBesK7qgLvi0FBwIIQ5VmG4W4mw/epmBoTFW8CGAoQ/GMxLTPBZANauUwTAxK0ROVUoFG5yxn3qlzfaVH6KspY6vpLurTYSS9NcD4kB5zUv8WAxRTLhhAihoruVbAAXAb4dBMSmTJ8aUQRtGjCd/C58Kgg6hyUNTsgBPt+7KUXxO3bp4LQbe+lYl3MeJGUHxgRaMfrxjvHMtyMVMYtabg7KZTSZHuCr3ZDMyxtOmZG9Z/u+VXbbfd02yuoaHYpg8oT3AB2U/GQhqVHeNt8FxtAW1nMYaZxU5S2/z6bhSRDL82wLqVz2SpVhq2sVtucfPJIXPTnkCkrSLEFzf6+4rZHSIVBpYSQqJR6JSOqslHz7hoR59m8H0rojLqKqARmlWlKCeNm9ypo3ieMmzEYgX+bgelh9VCC5+t9hpVBC/amchG0XEj/PnO6Ql3M4C+wmdK3KZCHjdt0oRP+40zXKB0n4ctrnNpntufXNpWpLAhD4VFKnVYkDfcvVEKsmfDutRlvVVCTXF0tOdLOXzEptlVjoK8Ovv/jR60DlftF6L5FSA6U+Fsj6o9NrbhupUWmCtVmIUEBT7gThmuXs8HbbroMKTcn30q+BUjXdUj3AWebAFLWbMxsW7pQoxG8DRjuQipQXV2L9AT44LVJ2+3TvUYzlsK2/W1rNyQztbI5dhUbYnsWG9s23KTcsWoB3bSkSM/qkK4mjIrZ0X0nveOVUqBd2fTgEDjJ+Kdp1YHrCma6dyEclSjBNtNKu/Oktmn3O7hzmaatYnyelIVL1bkJs/T4gufD4lby6TebuycpCv09zlwrN66BvmhB8LqYZ7G+s6VX5Z2QGoRKCSFRCQpkxabmlY0c8MURGKludaE/O+R4UzmwA+fCU0xs6SkUIkyhQOZMS6rgn1mLRCkGeuHeSNFrD6TW8jBjHVSciRmvogYSlgXK/AukCj3CGJsMnBd0YQqmHdaxLMHUy+549FwFs1iFzKE+P8OHJihUW4YwrwPcA+ekuGGpPqVRnFKmKiZhFCO9ttlGsEikiU9hDbja5Q2XV8tG32Y3rgPuZ7oPaGgGEg3plZN0CSYKQcW4cGm9ZDAlcHzQfYuQqJSypkDNZ3LLETPGQllGMiWW0MUAg+/DBALhF5iF+W/T0pLlV8IXyA1XmIdntTGzgqm0yDoGBca5Rhu2Gasy4H/mRECx0YULhaf0WAnH6qL3GRakdKvq5q+hGbTuPwie8mWMRVttDMuKCAj6QRcWbSlSv/zKWmW4iWVSFjKl8g0qpebwRSIwljRxK7kSlqo12L921TLGSCmk+kgOeIUM7STQ1+1YUcKQ0tlfbEuWtJ1xEFKDUCkhJBdKFWRO+cRAeIJ5VOuRmRVKxXekZHMSSJnoMMHQDNBO8Qk3j5eeQqBrbsBfjyNdpigJpNZSSTMefY4b36KFdlfBkfAUHfOvL42u9N6HpmA2+g+mAg4Gz9u2N5awjFkhupZvp68WSyCGRsBVyGyj7yxo6xGMdgLZvGxzvMhcCT5TH+nQBSD1CW4fwqjREnieilL/ovAmSIEM9AG93f7PuJSuZaVEysNAAcH3hFQwOSklixYtwuTJk9HW1oa2tjZMmTIF999/v95/6qmnYvz48WhtbcXw4cMxc+ZMvPbaa1nbffXVVzFjxgy0t7dj8ODB+MxnPoP33nsv96shpNSYrirFhH7hHqGKgvu/0MxW8FsEzL/BIPWgO4Vyc/KlGjZPCWboUkJvArAaApYPGXIfjfGosVvqr6vgKquGKcTql2VYPYKWEnefgL8t/VdZUCzvrxqDsFLjcNQc6fZVG5bbt3CvO+Rnw0zVq2uUwJ0jeJYn1beZvllZWiw3xkf3EfFzZta60XVNlBIApFp+8rCQ6DlIeOMPEnSp0wU/DYuaUhiDx+cNvzcqgmR/4H5KZ1upsJO0lpQQYYlYXiRHpWTbbbfF5ZdfjlWrVuG5557DwQcfjJkzZ+Lll18GAOy9995YvHgxXn31VSxfvhxSShx22GFIJtP/ALz99tvYf//9scsuu2DFihV48cUXcf7556OlpaWwKyOkVKTLZESKRODLWWXBgvSUgCDashIM4E450DvePM+y4KTENYRJLXhKQ7BXm4wMUVoIhif467ompsJiewqQWV1cXZ+6Rp31yz1Wx7AYY/adY8yTr1K4NNpJ+s/1WSNkqiuY6d6mrQxAqAudtkAYSpnOCiadOBFpXoPwzjGtWrYNJx7GsCCJCEK3aVHzxdYoxSfYRsDtLiqmdSg4D7rApZlJDUYyBGUlCSq4BcI4tMqht9v7nA2UIXVvOfogpMwIKQtbrtlyyy3xs5/9DCeddFLKvhdffBF77rkn3nrrLYwfPz70/NmzZ6OxsRG33XZb3mPo7OxEe3s7Ojo60NbWlnc7OTHQV7yiSKS6yBbfkA/FCLitCYoV/GuuwiO78BYMMAe89xbcbFsJL7OUDoaX/nsXrD6uUu4qOVhl9jILH6pYFB2jbQSfBwsW6oxcFnzB5rp9b/i+fwfjHmwJXzoqXTTR9iwWYcHsYQq57Soeqk2rwQvutwOuWbZxbapfAW/O1BilMZZssVzmdQWv38TnlqbuS8RnLW2NE/VdIFKTEqjzTGXO96xEuDZSXQgLaGxxYknKQcvQqlski0Vei4ga2+t77YShifLGeX6cTGLiC29W5LyUk7yf5mQyiTvvvBNdXV2YMmVKyv6uri4sXrwY48aNw9ixY0PbsG0bf/7zn7Hzzjtj2rRpGDFiBPbdd1/ce++9Gfvu7e1FZ2en70VI2Si2QgJQIVEU+wc2alyKTx9Rq+u289IWBYVy2RKB7UgN8JbKemFoDdpqYFh/VBxN2PjNWARtMUr6+w7GpwStLuZ1SvcalHuWOk8rQxI+Q4Kd9FzOglmmzH60AjRgWA5Up3AUHcBvIdCWL+FXSHJBxdaYNWW0dcd4Kdc5M9sZkGrBQGB7piQUql0dzxNIuKDHJFIVm4I9r+juUXFIu3wKCcDYElJz5CwBvPTSSxgyZAiam5tx2mmnYdmyZZg0aZLef/3112PIkCEYMmQI7r//fjz44INoamoKbWvjxo345JNPcPnll+NLX/oS/u///g+zZs3C0UcfjZUrV6Ydw4IFC9De3q5f6ZQeQqoGVmlHXr7+RezaUWBgCNSm0B+yqq7O0e/NWIMQJcMXjK+2ucqKjjswYk/MOA3VvlIkfMe4+4JjFwLOV7xlKBuGFSesSGHYdQJeVjBfHRgEYlaMeBgzw5R2rZOe5SDoLhZGWIyNUhJUbIelXkYMDuA/R59rzKd0b4LpeqdQikVQeUyHGTNiKsHCGG+YFaVQ1ytm7yIspkhqjJzdt/r6+vDee++ho6MD99xzD2666SasXLlSKyYdHR3YuHEj1q1bh5///Of44IMP8MQTT4TGiKxduxbbbLMNjj/+eCxZskRvnzFjBgYPHozf/va3oWPo7e1Fb6+3QtDZ2YmxY8fSfYuUh6IWwyphm9VGUVzYgkHbYSvghgCpt5nZmIRnLdBNCMO1yW3btDio48x4FFMJMcfnS83rrtprJUIGXJxC3NlS3MXgCM6me5nPXSgwDqWg6DkKIeV5dMfhu0dmpivpKSDqGPNY7fKW5v6me/4juTiZ47AzPEeZjsviNpjt86kLVYb0G7yGsHuSD3T5JIDjLlZFxRSrwX3rzU/tHIv71k5/f6Mi56Wc5Fw8sampCRMmTADgBLY/++yzuOaaa3DjjTcCgLZe7LTTTvjc5z6HLbbYAsuWLcPxxx+f0tbWW2+NhoYGn6UFAHbddVc8/vjjacfQ3NyM5ubq+RCSGkPFAxQVrnYVx7/ecJPyxZMYQmewIro6L0XodIPf1co+jMxSsPxyrEwGrCSGsBgWR6Bcu/SqvVJUjDEGM4lp9ygj1kIrA8I/f6a7l6/AoRnvkuE5NvfpOJYQZShde6ZFxD1MV2sPzo86F4Zyo5ACWfG5/CXCr8my3BAad7yq4rwv5bEb9J+S4lhZszL0a9vefVTKpbIMBRWHUmXwI/UJiymSGqLgiu62bfusFiZSSkgp0+5vamrCZz7zGbz++uu+7W+88Qa23377QodGSHXAFU+XAhQz30q1skYYGbGCAnnK+UGh01QIVMyEGVCtYgkSRh9GW8oVTQggOQDpCg5CZ6dS41AB+ep/rsBuidSgcHN8tvRbRrQrktuMUlBU2uJgA2al+zDMgH4dcG5YFcyVflNBMc8Pe67T3WKfhSkYkJ4FXQMk4VmMzH5EiLVF9WEmDEiH6RaX0m/IwUrpVRYxXyC+CuBXiQEIKRBVTLGhMe6R1Ays6B4fOSkl8+fPx+GHH47tttsOH3/8MZYsWYIVK1Zg+fLleOedd7B06VIcdthhGD58ON5//31cfvnlaG1txfTp03Ubu+yyCxYsWIBZs2YBAM455xx89atfxQEHHICDDjoIDzzwAP74xz9ixYoVRb1QQioWKiSFo+JBnDd+P+tQN6gIvwCmYqPa9Z0vPAuJXn13A+TVeckB57juTsiWwY6M2jIo4EIF+LJNBbtKh1IcVIC1zvplCtBpGgpVSNxfYgHHQqHjS4KWAyMGRsDvimbGwQSF+WCFe/PfvrHm+Ousi1QCjrUl0K+6V3qMxnhMBSLlcxgcRxYXLxNfIb3QQUdrJ2MfVGqIy0AvlRJSE+SklGzcuBEnnngi1q1bh/b2dkyePBnLly/HoYceirVr1+Kxxx7DwoUL8dFHH2HkyJE44IAD8OSTT2LEiBG6jddffx0dHR36/axZs3DDDTdgwYIFmDdvHiZOnIjf/e532H///Yt3lYRUKowl8QgGPKcIrukEOUNANt6GHeJ7H1zBDp6ghFuhrBbKMmI0plIAu8dIOwn092glSXZ+CEgJueYNoOO/wPBtkRw0GOj+BBjog9h+Eqzh23rtaflcWUcyCZ7KqmK5q+6mUC8M60bYvIUpAK6QLuG3APliYIyxBV3O1LNsVk1PsVDI8H8bl5SzsB2MD1H9hsaMyFQlwbzmsNS95li1Mik9S5K5PyxovlSfbyolRKGyzzFhSlEQQkCU2XRR7v4qlYLrlFQCrFNCykox3a3oupUZlWGqVHOUz/y7Qrp0g9+FELp6s+zpdv7t1umQq191tlsNwNp3gPatfN8bYsKnYY3ewRNeU9yXMgS8BwO3TUtNunia1IvxrDPBdMZKGUkbPB5oNyiAZ5rbdMH2PkVGps6HcxB8NVaANAqFMb4otYXMZ63Yn0th+d3qSlHriNQ3iUageVDco8hKNQS6v733xFgC3cever0i56WcFBxTQkjdUcyCZ3mvCeTgSlKt6JiJuAcSxJ37/h7HLaupBfj4I6B1KGR3pxPH0d8DDBoKDBnmnPLRf9yaFYGm+nshO//rZtBpgmhUKX1dodUnuJumIPMvPKFXCMA2XMuAVEuHDyNexszkFXRnCj3fHZMOujctJCFFBH3tpfkMZUubq5UtBMYLY1pUrEtAwdCFLU2rktmXhK4pUmwlWLkX6nnI57MrnFgU9RxwMYOYJPu9JBiEVClUSgjJmSIqA2b17lwIq3tQa1RqtWszUxQk0N/rWD/6eyFX/gFoHw68/QrErG9DdvzbOWfDe+7JgWfHHgC6NgFDtwISFiBa/If4FIo0lhLAs5QoN7NIz1PAdUu5PCmZ3Welgeca4nvupPFCqlVLKywRhhNG8Dk3ryud0qSSFugCj3bq8RlJZ6EpAlpJynJ/dIpoeNYqSC84PizwnpCBXqCpNe5RVD1qfafcfRIqJQVSB6vVxE/GVedC2szxnFpUSEwffZNSepj6hO8MGLU4pD2ghX9pNUD2dEHYNgb+/W/0fCQhP/oPZHcrxF9XYshuOzquXg2DnMyyAxJAA5C0ATsJ+eoLkL29wF77wRo5FrJ3M0RTCyCUYAzDOqAEUnOSVJC35e3ThQtV8LtMbQNBIV4ahQSNTGVmfREdhuLG1ZiV6pWgnVZpiPK8htx8n3XBwFcDxUrfb/Bao+Ibr5rPTApiDoS5yQGG8gHPspIWijAkhIE+x+rK+ARSpVApKQhDSDB/9Bm4XMOUQBHN1yJQa/EoMsS9qRx9AtnnUgnr0gZ6NgP9m4GmQRANTZAfvgu58V+w+xL49+Kl+pTEiJEYvM8o5/RPuiGlhJiwE/DxppTmxS57AQM9zuOVbHCrkKfJTuUrvBiMKTH+IuEftzpHC9fmuaoGixuvobNnhcyFGRsBZH8GI1sC0wS+a+VDeNdmpkKOpFAW8p0cnPdiYCh+eXpycT2MhDLQV1XFFCsRBrqnp7OzM/Kx+cTGUCkpBtoXOYAOFgUi/XiSyqfYhRMjVaxOQ/XnqKgMcr2nDY2OUqItF+72sAxeqoudd4N867X096zrY8jNXUB/P0Siwa0c71ojdMFFVYhQunX+jBgTtSii/MmVhUPXaIFX90S454bV6FD71b/DritXRdj83vPVR3GvTaY5NoVgYD3cz041SujVNl5SNQz0spgiKRnDhg2LrEAlk7kvmlIpKSVhq2BmNWjlx03qmAJ+OKjkFo62kET48lSyryv42+vfBT5aDwwe5uwPftbN4nhr3wWaM6xe9nZBvvsSsNUYYOgWRp8q6Fr4FQgbnsXDtJTouBDDQmJmupJJAMrCkPT3IxJOjAtgWBcS8NyXTCUlF6HazIIF+Cw9OgZGBadnsFip71PGU4BKDUmLlCymSErGI488ov+9evVqnHfeefjGN76BKVOmAACeeuop3HrrrViwYEFe7VMpKTdSAghxU6FVhdQ9uSpo6fyLchDYdP2TKOe4x+m0rkZtEcuCFAIY2g7R0AA0NMAeNgzv20PQLwEbArI/ibGiFY2DmwAIZ/TNTc7H/oO1EA0JwBoMOWozkExCtA512rcSbgV3lbrXSPlrqf5d5UEFo5sWE3WNllJi3BO1UmNYisw6B0IpJG58iy8WIkqK3UDhxBSk90cpI7oCujnPRqpjZ4M7D8qKVIcCeh1eMskBFlMsDCM0r5x9VgMHHnig/vfFF1+Mq666Cscff7zeNmPGDOyxxx741a9+hblz5+bcPpWSSiGtVcXwAaeiEj92sjCXK5KBHCWtSLECaRQOnXI32vnyow2QH65zPoe27byS/Y7vdv9miGHDIe0edL7/b31m75ZduOW+R32t/egrn8OwHs8nt2nffSHfdWuZALCmHwd8/F9gcDugKr/r7FGBsat96q+Z+lZZVyzlvpX0zg/GapvB/iLQhtmXnhLl9pVNmRPZFRc1ALP4oFay3OalGo86POmN11bjqQMp3QyKr6VYMlJ87KRjLUlQxCOl46mnnsINN9yQsn2fffbBt7/97bzapB28klGKiB0QnoTl/EiLBF0Z4kD7sReBehCm4iTdbYp8+9z709gM9HQBvd1ODZJkHwRkloBIgbZRIzFs2zFoGuSk6bTdY+0tR8AetZ136FYjIHbeHWKLLd1T1WfbtX6oz7yqtaEtIg2OoKrfJzw9QafnNVyjVDumVQVIfQ4lvEBys0/tGmbMTS6YY8t4nNufmlrbrZ0iLPdc6V1HrZsNtIJme5W7CcnGQF/cI6ha1Pd6uV/VxtixY/HrX/86ZftNN92EsWPH5tUm1ehqJJ1VhRnAykexUgPzPpWYCKv5gOPalMn61dQSrSuDQY0JdK7fAABoGz0Ko3fbFZYrYPYmG9H//Eto2mYELABihwmwmpIQg1TciYSUNoRpKTEvQ1sIjBSyviKBIeNT2bWUUOuzkASeZ5X1StcJEV7bkZH+1X2z/ZSiiMJTgqRykwtYaHTGMFcxUhaUnGNcqgRlpaISQvKBxRRJibn66qtxzDHH4P7778e+++4LAPjb3/6GN998E7/73e/yapNPa60gpbeKpn7whbHKSiqQ6lsZqToyKY5WArquRzaZtrE56+dIpPz4CwjLQmNTE3o3bcLGV17DoEGDMNA0CLKhCRg2DGhqBrYaAbS0AIO3cLY3DwL6+6BdN5V1QFsJ1F/XvdPp3PurlA0BRyDRbSQM4d9weRLGMcE2ZJr9AHQ2sEyYq/vBLFwm6hjbVTZ0rRV1DcY1C2m8R4TFAWMOdVsJ/6sSKUXxRlJfDPTGPQJSw0yfPh1vvPEGjjzySHz44Yf48MMPceSRR+KNN97A9OnT82qTlpJaJpiqWAfT05JSEdRDVfZcSBcbkC6GJ5swmi3mRFsVbGRdn5ESSDRCplRkd4XpZBIJbMYu1/0QVmMCImGh+5NeHHDKBebB+NeLH6Dv/fcBvImdZx2ExLjtYW0eCmy1JfDGPyC23xloHQo0NDrmfAm/FcS5MPgKIgJePIg+1qhT4rOoqCaE144TxBHeRoolJaTNdGQ0UkW0bKjrVw3qcRvWnmzKvVlXJV23BdcyKQV14JpGSguLKeaFueZRzj6rkbFjx+InP/lJ0dqjUlJPBN2+zGrNJDcYC1J8MrrhlCIIHkZhviztd/4H8r8fZDwkASDR5rl5WQnnV2avLx0IYQl8uOG/2H63cRD9O+PDD/6LRFcHHHckdyV/0FDIRAPEQF+qW1LKZ1R4f3WQuJtlS8JtUx1nWFR0wURpyPIhAouvTW8YnjIQSDUMGNYbBLaZbeagjJjXBhjZx6IE2dcAxXIRJfUNiymSEvLYY4/hxhtvxDvvvIO7774b22yzDW677TaMGzcO+++/f87tValuRoqC6a+sXL3of0qqHStEIVGB4+qlMjypV5aVRPnfdTkPo7nBwqGfnYDhq1/B1u+8jJ271qPxv+uQeOufGL55HbDufaDrE+A/G4Ettwb2+izEyG2c8Tc0Aqq4YPiI3Gs0lQKVvheuNVT9VcHu0rAMmeeHZSczlB71JzhH6r12iYLTl3oply31UgoYEKIwBtpWYzb7VC6q6vprnYqz3JCqZKCXym2OMNA9Gr/73e8wbdo0tLa24vnnn0dvr+Mu2NHRkbf1hBIocdAxKSoexcj2U612RVJ/iHQB69IzGEjbsxDqeIcsP9p5rDRalgA6O1LHF4bpVtXQ4mTVUsHlYQfreArbk+d16mAj+D2Ir70IP4Ii7RuvfdtOL0CHWU9yIVNwfC3D71xSLKR0gt4JKTKXXnopbrjhBvz6179GY6NXF+fzn/88nn/++bzapPsWCSc0w1cgk049CQmloB7c5qwchNJC58OMPfHV1VBuMKbC4mZxEtIbX1jwtaJ1SGp/bVt75yp3qM7/ePsTAkP2/zTM60/sPBFiu20hVNsNzUD7YKeewLY7OhaSRAIioTJohXzOdMyIuhSV8tfyZ8yyhFNYMK0rm7p244OuxhVUbMJcr1TaYKXgyRDXrWC/KtVvPvc67XlZFMpqXCWOknyBkKgM9AGJRsaWRMUSzqvcfVYZr7/+Og444ICU7e3t7di0aVNebVIpIdFJp6howSzgTkKyU/N+4+lW+0uAKiAI+PtUGaSCVgKZNCwUmWNQRGNT6pOdTPqVkGEj/OcIAax/33/OlkOABukEtttJt/hiL5CwICwLonkwhK7EnOa58BVItNIfVwhKsdHzopQXU4mR3hwqBc8cSth3Rdh3iD44S5xI2s9JDcaX1PR3Aik7yiLMYoqkiIwaNQpvvfUWdthhB9/2xx9/HDvuuGNebdJGTApD1QvQfuvwXL+EKm5G0kLZo7ikKy4XpnCYMSVZMzil+aocvi2sPT4PsePkiAMUwNuvAh93ebEtQ7aANWFPiPYRnkXGNmJCfIHqLqraOmx/nIa29hhWIf2MBQomaguR8VfNhdmvspBabh2RsPFo5cToQ4elhKTutYy0vComBUitg2LG1JhZuHKiir6D1P2jFZoUG6YHJkXm5JNPxv/8z//gmWeegRACa9euxR133IHvf//7OP300/Nqk2ozKT6ZXL90ik9K4wCYFjhOzHnP5sM/qD11mwDEiLEAJDB4KPDR+gidOs+9fPUFiL0+51SH/3ADhLSBhBu/JZXrle0F7Yd9XHTxQGNAUikryqUr4QW9+1PveeMR6hiVkct0+XLdx4ShoPiUA+lv0laB9cjsguRzP0tzjHm+GUOTckK275Iq+q6hMkJKRXIgjwKodYqqX1XuPquM8847D7Zt45BDDkF3dzcOOOAANDc34/vf/z6+973v5dUmlRJSHqiokGxkCooutMBdWLPqx1mHlZiuSoHTG5uArbcB+nqBhgYg0QjRMhiisQVobITo2QxsuQ0weoKjXFgW0NODxOfXOA0MHgoIAWvcjo5bV3Mr0NgE2dAEsf2uzt+U4oSmxcK9CEOX8GXZMs+1jfcqtS4sT4fwpelVcSfCaMOdF6vBVVQS3rlmfRQ9PmXVcftSsT0qfsRXU0VkF7zNekrqvpjuY8Ef75oS5PkdSErIQB/Q1Br3KEiNIITAD3/4Q5xzzjl466238Mknn2DSpEkYMiQkBjMiVEpIfFBRoe+4STrhstApEiEB0sEYEhmIlQghsfM+/g1mYH3LEIgtRsEsViqHAhjsCONi14lOYHxXB9DXAzF8NDB0K4jmVlfGdoV1XbTQKFKoUuMGPy/BeBhdeR2phQ+hLCEB9y2dkUwF1CcC1hYZUIwk0gar++KjJIBgXIo6LoGM1crNIo6qCr0OtJfgZ4aQPFE1S5jdLSNxpOitxpTAt99+O44++mgMGjQIkyZNKkqbfDJJZSFtN5NPSIxKLdZQKXiVt/q+yMpOsDCirtWRAymxGK7irFJmh9Y6kRD7ToPY90vA2F2Bnk+ALUYB2+0CtA4CGhsNt6lA/RTdZzCmA96xWcdreeeqMbrjcgR7Q+lXFpQUZUGbSPxtqzGr2DFl5VLXoOqW6LEblhzpFj80Y3p0bI9x3XoaXaVMXY+ZqpyuKITkRn9f3CMgNcKZZ56JESNG4IQTTsBf/vIXJJOFu6LXoJRHag6lqNiGL3tN1E+pB4VCOEJrlGDyUqFdmMz3ubZhxGiYQrpOoZta60QIAWvU9rBGbeesgg3ZAmhpgWgZ7KQCtm2/77Ku+2HUTzGVBl1d3Qhu943RDugPKjuWEecB23C5Uu2pk0LcogRS0zqr+TSLIvriT8yxuP3ZhtVDNaKKK/quF951i4Qbo2J7rlxCGLVl7OqLx1LfW6YiF5Y4gJBSMdBHa2ON8MEHH+BrX/sattpqK7S2tmKPPfbAc889p/dLKXHBBRdg9OjRaG1txdSpU/Hmm28Wrf9169bhzjvvhBACxx13HEaPHo3vfOc7ePLJJ/Nuk+5bpAqRgSBltUKrhKMqoaB0wNUixCjBGPBW0otwj7Qgn6VvwHNtUnMdmkFW+0KF7DTiIHzF/Mxz0tyPRIMjXzcPgmhuhWwepM9IrZCuLCPG6r/ZBQQAVylSLlTqGHWOHr5wLER6u2Fl0e5g8P6tXbmMvs24FAk3j75leHK5VhDb6CfFymP0L5GmsGUalBuZ9ggz4md0zImoHsUkJS01Ut3gCrb8BJTLapkbUkak58ZFwqmCOiUfffQRPv/5z+Oggw7C/fffj+HDh+PNN9/EFltsoY+54oorcO211+LWW2/FuHHjcP7552PatGl45ZVX0NLSUvCQGxoa8OUvfxlf/vKX0d3djWXLlmHJkiU46KCDsO222+Ltt9/Ovc2CR0VI3PhWguEXWipZSSmoQJpPWq1cfEqXG2eQlVCtwdidJSZBoQS+bIqQzlCVJoYp1K0JxjOmsk0FTjddrhLOX6GsEqbw6cuII710v9Idu22c4xuHEsyN61PuX/ZAyDUYcSbpYlNUXRl9vOHqJhOp5+qgeulZRnRGMNe64VNEDIuTrdy4jAUFpXTA+KtPNa5RuvNrmzVUKph0z2BwUcKcE7U/l3gcFXvkbUDFzw0pPwO9QENTuMWVVAU//elPMXbsWCxevFhvGzdunP63lBILFy7Ej370I8ycORMA8Jvf/AYjR47Evffei9mzZxd1PIMGDcK0adPw0Ucf4V//+hdeffXVvNqpdv8XQlLRcSlGde9KdPfKZdU4LRUucOhg7TJhrtSrVeJ0Y1CxGSmr14FYhUIUW10DxHLrcRjxKGY8CeAJpDoORLk7Sf84dfyF5beuZIqx0Fm0RKAN41wYY5XuPOi4EDOeJRHoV3gvs0aJkncsK3UVUCtThtVTxaGY4xAwXP+URUe5QFXY5zkMNda0SRyCtVeElyZcf4cZc5dJhjStgYpajMMjhSMlkOyPexSVi/mdVs4XgM7OTt+rtze8vsx9992HffbZB8ceeyxGjBiBT33qU/j1r3+t97/77rtYv349pk6dqre1t7dj3333xVNPPVW0qeru7sYdd9yB6dOnY5tttsHChQsxa9YsvPzyy3m1x2+svBHV8aNIQpSURHrhrVyo1eXcTirFSKqQDPOWLg9/0H1MWQBMtywlQNoB90CditZYwY+6wmjGgeg0uUZKXbVPtaszXQVWyJW7llJObBXDkfT+ZhqTEPBVsDdjVqQRn6GtHa4VQn9ujOPMYqlq1d4O/IXRj66TAuhn2IxH8b33TZ7RpvRe5nijEOVWRTkmLDA/NFjffVasBm+soe0Zvx/Be+dbRAmJ9wm9Bn4/kBzo701VYknsjB07Fu3t7fq1YMGC0OPeeecdLFq0CDvttBOWL1+O008/HfPmzcOtt94KAFi/3qmbNXLkSN95I0eO1PsKZfbs2RgxYgTOPPNM7LjjjlixYgXeeustXHLJJdhll13yapPuW3mjgjrd1byirHqTsmAKZyqrT1AILPkY3L58rkNZqFZPjILc1EIbzLzbtCiYQj5gKADBJkVmtxhfKlxXmM4mBIb+4Eu/q5KqwaEsJzp9r/DaUJYLsz3dd/Av/C5Q3gned5X0VuW0vOsbq7pfwjvAN4/myr2rvCiXLTMORZjvMzwA2t1LfQZs6PUy1ab+q+JhpNd/MQQrmeVehlnUwtBxPhIpWd+CmPMGQBexDBb1VIkNfMpdWHuMHyE5IG2noGJDY9wjqTiEJSDKHFOi+luzZg3a2tr09ubm8Ngf27axzz774Cc/+QkA4FOf+hT++c9/4oYbbsDcuXNLP2AAiUQCd911F6ZNm4ZEojgLvVRKCsX0g6ZyUn1ICSDGeBQtSAR869VYdGYkFEf4ioMocR2ZaGhyXorkANDvujoB8EtqpnAujf2ur71WVAzh2nSxUscrRUoL3crtSrlbaanbuM4o90d4ixla2FQZq4wYDBF4HpTy7LPswGvHsvzKmPk9ZMbE6CkxxupTQNT1qz6M2BZdP8j4vKj50HEwtnGOUWvFV2sEnvCurDGm65Geh0AbypUpaEEqigWxCJ+tqIqLScrxQTc3NZ8y9b6ahNWNAapzEYOUj4FeKiUVRltbm08pScfo0aNTaoPsuuuu+N3vfgcAGDVqFABgw4YNGD16tD5mw4YN2GuvvYoy1jvuuKMo7ZjQ/6hYKPcM5TtOqpN08Sgld52Sfh9yXfeiRqSKQhQqszZFiltLsF13m6UCum1P6Ae8OdYVzA2hVh8vXVcrI32ucr3ypcA1xyBDsqdEeWYCCqdSECT8AmhKMgcY4xGeYG80mRvS/9cOvFcr+BmLHgbOlYE2FEqADhXgg22kU2TNua2Qz0jwGY+ko1reS6ebNvcrBQ/+FNFB0i6GVcjckMrETjqLPKTq+PznP4/XX3/dt+2NN97A9ttvD8AJeh81ahQefvhhvb+zsxPPPPMMpkyZUrRxrFy5EkceeSQmTJiACRMmYMaMGXjsscfybo/Sc7ExlRNRHHMWiRHtu+4Kr6pYXGk7zSC0VSn5+Ls3NAPNg4BEHit5UZQgbT1w4zF8hQDVMabFwVQWBXQQthl0HQzAVsdaDQj1vxPmceq94RrmSzscdn2mG5nwP5tRXKeCA9GB8CJ8e8ppylKTSD1XnxP4mUmJ14Exz4E20i7wFFnYjssKaSrOYemCU+YnhEzxaZWcfZBUBgMspphCjIHuUTnzzDPx9NNP4yc/+QneeustLFmyBL/61a/wne98x70EgTPOOAOXXnop7rvvPrz00ks48cQTMWbMGBx11FFFmabbb78dU6dOxaBBgzBv3jzMmzcPra2tOOSQQ7BkyZK82qT7Vqkwf2StPMz6pAIJ+HtrlytkXkEm+WElwhWSSN/dEYVMXd9GesK1bVjJgq5CPiFPBtykEqlCoLYepFnlTjtMAcCor6L1GRVLoWJRAu3KpBGnYCgH2YTufGMztEuV4fKm9xn/8F1DhWFmRPMRdjGZLqLIF6eysRWC/n4KsyoSAicLl23Tw6PK+MxnPoNly5Zh/vz5uPjiizFu3DgsXLgQc+bM0cece+656OrqwimnnIJNmzZh//33xwMPPFCUGiUAcNlll+GKK67AmWeeqbfNmzcPV111FS655BKccMIJObcppKxWR3WPzs5OtLe3o6OjI5IvXlEY6AP6Nud2TtT6CqQKCFv1jqM+SkySXq7Zy0wBNZjiNHSFGN58hjU2kCWdZVDIzjZeNSwdbA6/oO1zl1J9BJQWs/J5ikBujMesJZHynaDuZy731XBF0ylkpX9/TkqanXptYfE7QSXEd64SqGXg3JB2gteiMn8B0EkofONR86gKSWb5rGWKZwoGkoeh7qvv/keY03Tf94XEV5lt6jo8OSqUDc1Ao4rRKrVbai2TzjqVw7E5U8T7JQL/KFP2tljktYiosX0w9dNoayyvp0tnfxLbPPR8Rc5LOpqbm/Hyyy9jwoQJvu1vvfUWdt99d/T09OTcJi0l5ST4Y0Jqi2BhOa2k2LkJDRWPyPH5VRYlmbpia67oq3/qttP0EVqjQvh/ryVSnVMzjVlYrttl4LPpC4sQqYpS0JUvaEkLS1Lgy6KFwDMj/HOUUaB2V/jVAPV7VynQLmUh90skAvqBNIRz1bY5gSJEwBaBft1/C2nMF7xxqKxl2ZAIjF2dF4zZSKbOfxgp2d+EpzhlVWiyFODMS8EwXeNy/F4wT1GWlHy+W5jOvgikc2ks7ygIiYuxY8fi4YcfTlFKHnroIYwdOzavNqmUxIFN5aQuSKekRBXOqh0z3XHU51wrKRnmRyA8sDd4SnDuoyDgCbq+hX3Dtz/d0PKpfRMUKJUAHeW7QSkvSsHQsWxwBp4pFbNKi+2LCVGZroTn8mNZxvPqToZSMBtbnGP7e6GTCZiPtjDdtkzrS6Z7q5QbIxuXclUzUwKb15ErYemf9ZhNJcM8LugKZzwPOfePjFPgQ2eLcwcZfO6LlRKZEEJy5Oyzz8a8efPwwgsvYL/99gMAPPHEE7jllltwzTXX5NUmlZI40ZWM6dZVF/gEWtd6ECZoVDsZsysVgXxksKi1UoJWrXwUm0JQKW61ghFl3IbQaipRAn6LSeipRppkU8C13DZUemLT2mLG31gW0N/jCucJ5zxVwFIL70o5UUpUFuuPbWRLk+4YdbyO6fpm5W6pSGvxgKd3iUT6hQNf4oF8lYEczsvqCspleUKKTh6B50Xps8o4/fTTMWrUKFx55ZW46667ADhpiZcuXYqZM2fm1SaVkkrA59ZVJ6vodY9MLZJW9niUElHo+IMBl8GPgwAAwyqhKpDLwDnB7/hMwrkW/g1hM6xAYbCNsErcoWNQymfgeGVB8Br0HxJlFVw9N5blpNK1hGftUemsffPjDkxZMsxUvj5LixuzoaZE3Rf1795uN0uW9N8zHRMUHAdc5cJ4r+bIrAhvKknqHPOvabWKirYCqT6t1GfEVAAtK3Xuw1wGNa7Lms+1D/C5wJkFEH3B9YYLnC6WaXtjsAJj1YUeQ1zaCCGkjMyaNQuzZs0qWntUSioJbTkJFM0jNUKG1dWgW5AOrs0Sj1LIgm1RMVaWClVKgop5iitTyGp3SuHCoFtLyDm+do0YBm14MCwQQOoqe5Ssein3Jmz13WwzQ4G8tH3IwPNjFC9UQr7pMqpigkwlRVgAbE/OtQzXJSXE++qmuH99tyUHd9QUBdKI1dFtKLe0pOdGlo9lBPCuxVYWITswDtNtzCja6Lu2YOB/JkuKO35fYgSlVBnWKV/Mkfq3cc/MeQ/7nDM2hJDiYyGk7lQZ+qxiPvnkE9iB3658AvaplFQivsw8tJzUDllcV0xSfMcjZhoqOUaQsPazV0HDsrqEJF0x3BCkwxQCEbJqXulYAQuFwnQZTbEkBY4NnhucAhVTovdLoKHJb+Uw96kaTupZ8e0Pi9VxzQM6xXGOKMFeitRrEcaYzL4A734Hz0k3l+nQAf9GF0FlKBgnE8wwFpoJLWOnyG+yCCEkN959911897vfxYoVK3yZtqSUEEIgmczdhZtKSSUjDQGCykltkK9wG0wbq7NZlUlJMZUiGVh9D2aVq5YEDtqFyLCO+FL3qsQEgWBnhSzzSloumPMfVn9ABbr7LATBmisB98IgiYb8gvsBRzlJ9jvxKOkw0zEHExBkI/gMms9lWHB4UOkPnh98H0X5DnM7TAlJcV3rgp8X2zaUqhwUE+okhBSMEAKizDEe5e6vGHzta1+DlBI333wzRo4cWZRroFJSDTDmpIaQRRDajXiU0NSpxUJ4LkrBRAxhtUWKooiESFVRXKBSCLaRxtVGZ3tSArDpvhVYvQ9b3c+KufpuZseCsXJutKtcmYKxJcExBL/8s1k5zDgN5QalYxnStBHMQqbiQfJ9xqQEkgNezIrK+BXmwqTfi1RlICUNcIhlJuX5tIx4Ffd6zPN0nIcxnkyWEilTrU3BAnR2FmuLWYldbTfbkMb2sP7U/ATjmDKm0k7zXBFCSI784x//wKpVqzBx4sSitUmlpJqwqZzUBEW9bRI6eBZAUawolmuZkzKzomGupptKUtg5OrVsNpTEaExSip4SZTk4eEzgeL0KbXnHCyvNuWqzCka2DYHdFJjTFUI0jtMWCnVIwDVMwL9Kno5Mlx+2qh90GzJjTsxjwqxdwXgS3W6O0q20gb7uzMeYc2jOs9lGyjmZYnuUmQXG/ZWeApTyiCgltQGwB7x92sqi4nWs1DkEwq0paVPAC6S4vwUTYKRYW0LubdQYJGX1S/BnnxBSOJ/5zGewZs0aKiV1D5WT6qak6Z9NocYVeqJk9VKr81ogjPBM6XSzMvvxlejqpD4/vmroxkp5JlRMQqVirrb7skoF3O58dTBMARl+IT6UYtxT02wEv5tWPpY3X30T1XbAXSvFRQ/O8ylgBMLLwPMBw1KRgA6WD8ugp1BKvbndUs+XGdRfgM+Vuk+hcSnGuNSxhJDsWCKGQPcK/I3Mwk033YTTTjsNH3zwAXbffXc0Njb69k+ePDnnNqmUVDNUTkhGglYUhLuAFGJVCZ6XViAqc4xJVDkvJb7AFF6NNM16Vd0UVoMuVIE+9bkxOPr7Vs9Nl6I0bnhKMdPvg22UCD1HKvuX+SxG/ZF2rSFKUTDd31KqsQcsU6aLnrKUqIQNOtuXYSHRp1p+tykV+6GVBDPVs/Bbn8zMWoUi3Gsw67eEoTN+Fd4lIYQAwL///W+8/fbb+OY3v6m3CSEY6F73sEJ8HZOrwCuN1d8sgkwh49DKSNzZwkJQK8s+wVG5WRlFC31pcxFQYJQgHQVjZTxFEHVjBSA9GVzX0DBWwNMpTpmuUbcvyieMKgE5dF/IIHSmQTVGw6KQNX5FWQaMTHD6FMM1z1cZ3rCiSASGalhWhIC+v1aDc55578x74rOqGOfqvwjcU3ht6RokIffIp5yZgw2819YhYew23vvaL+OzQEi1wuKJkfjWt76FT33qU/jtb3/LQHcSApUTkg2zOJtGhGdoygUhAsK+KO4zmFK0MMt40ylDwVgJJaipeBHhKm0S8MczhMWYAKGKSbAYIqR3ftBipFbiVcyNiucxXYfyUezMc6JYqbQQLjyLgLKqpbWkuYKvtJ0A9oF+fxxGSh9p7pkW0NV8m3VVTGHeENLNWiNqLLqApG0EjiNVgdDKeJiyp+6XKraYcK7JrCui/m0qVL5q96o9y2+JESH3Nl0NElWtHjDOSYZ8xxvXop8x+N9rdzR3fNUn+xBCKpB//etfuO+++zBhwoSitUmlpBahckLSkSLMAT63HSB7mlef77wS4sPqTBSRQi0uSmHyBREH6wEFs22FZBiDu4KvhOXQ4nhmTEPESamE1WvTxUe5Ppnjsizo2AsA6O91lJHI9ybiRfqmzYyLgqecmNYPpSxkCjoHAlauLGMMVo3XmcGEpwyogap4KaXAmbEsvuxmhvXFtKiEjUFfUxqlN+V7PcXMYvwzmOQgpEtCCMmRgw8+GP/4xz+olJCIUDkh6QgLygX8LkTBtLS6cniJFZBik+n5z+mzIf0Cnk5pC/98KMWvkDmqxPkNruqreCTtcpUpC1Y6gs+g8CuD0hDQgVQFSCuWAYtSWAarrDE+xnZLANJoUwhX+VBKh6ncB60uhsKuUvnKpHOcL4YlwvdzMC1yTs+rGq9S5Ix4IUJIWkxDZTn7rDaOPPJInHnmmXjppZewxx57pAS6z5gxI+c2c5qGRYsWYfLkyWhra0NbWxumTJmC+++/X+8/9dRTMX78eLS2tmL48OGYOXMmXnvttcjtn3baaRBCYOHChbkMi2TD/EHjL1J9YxZiU+4gOkjXdgRP/d5wF1HbykGhfqnCDUJWz3umdLEZBbwI49Dzl/QUlYznhe0zVtbtNMvZyj2uaKSL+8i1Hem9fN8zAawE0v7cqPttKsSmVKDbMwLazZdWCNIMPvLjFGJdCO5X/aU91/I+S0HLjJniWLtLisBfQgipDk477TS8//77uPjii3HsscfiqKOO0q9Zs2bl1WZOlpJtt90Wl19+OXbaaSdIKXHrrbdi5syZ+Pvf/47ddtsNe++9N+bMmYPtttsOH374IS688EIcdthhePfdd5FIZHYJWbZsGZ5++mmMGTMmrwshEaDlpHLIN1agKH0LpBagM0gbAJwjeVf7DgiXKpDYeQNPCBXG4rZpxYhopVAuWGEo96WsbQSu0XdOWByKFbAEmO5B7phs+K9F7zdX4o22gxnVguPyuRQZQwvGT6tztOAc0kbQ0GAZliIdPiM9S5wZyxEWzK1q6qSMybRqmFYJYbQVVNwsb79Kr5lynpl9K5O1JODmaJvtGMH8KeMw3fkC+8ysW7q9iC5lluV8LlS8iK/uj/Af67NcGceo95VohSOkkmCgeyTsEmRozEkpOfLII33vL7vsMixatAhPP/00dtttN5xyyil63w477IBLL70Ue+65J1avXo3x48enbfeDDz7A9773PSxfvhxHHHFE1nH09vait7dXv+/s7MzlMgiVk/omyj33xRLkq1zk+WyJgLKQSckoVMBKFwQetV1fnYo85ylXgt5HQQUqpYgjQq7HENJt2zsnWCQwtA2j0CIAL7lB8JyEX7APs5T4LArGOSLwN+g2pcau+tdKvu2P99F1SMx6I2FuXKZrVghm5i7z+DDSfa+mKGSBgPnQft2xKsVbxa2oBlPcBoMWo+B1ShplCCEVS97+AMlkEnfeeSe6urowZcqUlP1dXV1YvHgxxo0bh7Fjx6Ztx7ZtfP3rX8c555yD3XbbLVLfCxYsQHt7u35lap9kIJO7BSktvnS0pCqJbcU5RKpU7mpWiNUkDCtQZ0PAe6/a8LVpuMQJ4WUJs5Pe+4xDttIL/MFLE64LXMq1CDhKR8JVPFw3KTOhgNXgWWssMwWwYUWB8MZjKirBbGzqmnVqXdWXMCwxpjtXwKoTLOIojLYBI0FEAQ+See3B+eWCEyF5ISwRy4vkoZS89NJLGDJkCJqbm3Haaadh2bJlmDRpkt5//fXXY8iQIRgyZAjuv/9+PPjgg2hqakrb3k9/+lM0NDRg3rx5kccwf/58dHR06NeaNWtyvQxiQuUkd9L6lpOCKde0FlqRvZJuvy8+KMJ1qdihYBvBv2ab5vtglqtssTlRhW8Jx9piZkrzVSp344CCbgNayXeVDvUDr1zGlLXF5+YXdPmzjf3SGHPQumBYIwS8f+v2Dfe1sAtULlyR0nCblpwsx6Xcg6DLHv22CCGVTc7ZtyZOnIgXXngBHR0duOeeezB37lysXLlSKyZz5szBoYceinXr1uHnP/85jjvuODzxxBNoaWlJaWvVqlW45ppr8Pzzz+dUdKW5uRnNzc25Dp1kgxXio5Mu609OVIhUG0XBCk1NqoTFsBPK/OwEq683NLuC7UC4wJzPfZNBIU/16+7L4NHjP8kcR8jcZ7WgidRjdFE+d79lrPr7AkcMdx6zNglUnJERb6T/msMPW/033IiCCxvCKIKoYpl8HkVGWmY1j1ZgHNLcD8/tyZduV9UREcalqj7hvyZzngSMYqIwLCwwUiCrc9V7lZnOOM5WfSl3K8Mio+vNmC5nak7SfK7MuBmlbAVjfcy6LgpVfV53Yjzn2h2uQr53CCEkgJCysOWTqVOnYvz48bjxxhtT9vX19WGLLbbATTfdhOOPPz5l/8KFC3HWWWfBMlaMkskkLMvC2LFjsXr16khj6OzsRHt7Ozo6OtDW1pb3teTEQB/Qt7k8fcWFdnmgG0BaClFKwvz2y9l/WBuR2oskfeePL0A3wrF6JdygZYgR82A7hf2S/Y6Ckm8sVbb7FaVdYYwJMrexmAXzzHODf/U9zHCfgvc5GFMS/BvaVmBb8FqUIhEM6vY9b4bgbSq5Kk7GV+xSeMJ8xmsJvA/GyUR5xtUxKedmacM3BxHmJ+vnvwhtBMfa2Aw0pi4SElIOYpHXIqLGtn7WFLQ1lrdiRmf/AEYte6oi56WcFDzrtm37gs5NpJSQUqbd//Wvfx1Tp071bZs2bRq+/vWv45vf/GahQyOFkvLDTutJcanAuVQryBnXKipk3BkFenMV3XIFMde6mhwA+nucfwfrYGQkyzFZmxCe4G/Or1kTJtNnLHhP0ilu2jiS7T4GV8zTvReGQgDPOpST4uhqGr5K6GYtHHM+YFhEYKz8u8elWBdClJ2iEbDcmOMyLTZhAevaiha4psCwfX0FN0Zx8QpmSYsrqx8hpK54/vnn0djYiD322AMA8Ic//AGLFy/GpEmTcOGFF2YM3UhHTjEl8+fPx6OPPorVq1fjpZdewvz587FixQrMmTMH77zzDhYsWIBVq1bhvffew5NPPoljjz0Wra2tmD59um5jl112wbJlywAAW221FXbffXffq7GxEaNGjcLEiRNzvhhSQuwktEBQrixDtU6lpQBUimc1+J5nUkiyBVULFZegaq8EVqLDBEEllKtAb/9OTwBVwdFmrQ31XvWjLADq32ZNmGzjzvQ+SNb7KI0XkColS+9zL41jzfo1weZ840PgeQoof7qeR9K7J3q3ir0w3qvjZNL/8sWcuH+DbnHq/kQlZczGXARr94TV8FEWDFXDRl2LL04n6Vcowp47FfuTNm5HBvaHPJtUUgjJDUvE86oyTj31VLzxxhsAgHfeeQezZ8/GoEGDcPfdd+Pcc8/Nq82cLCUbN27EiSeeiHXr1qG9vR2TJ0/G8uXLceihh2Lt2rV47LHHsHDhQnz00UcYOXIkDjjgADz55JMYMWKEbuP1119HR0dHXoMlFYCZ9z+vCs41RjUI8BkxVsB9K+HGF2TFrL66X9wSmZ+7lsHpBfZs98tsV6/Uu+cJY7+OcXDnRqdtRahsH9pPru57+h4EGjRrgQDpCzBG6kO1EbzfIW2pGJB07/U4guaCYDsqJsOcU7iKp/Ssd9oyYQjvUrrHqG0WIEzXNTM+A24fIvX59sVH6aATd5vwFE5d48eINVHugyquJxgTY06fmUZZj8n4vAVrzpjTFrS2qG3BfoLWGN9HITAuQgjJkzfeeAN77bUXAODuu+/GAQccgCVLluCJJ57A7Nmz8yqEnpNS8r//+79p940ZMwZ/+ctfsraRLYQlahxJ7CQaAdR4TElGZAwKiSkAGS4lAp5gWG6yushkohIUGnPl2r2fKXVByryCY/btcxuUqYUVgzQ0hbj3GPT3AgPh7qQpqOdby9aBgOJCb58MidVIUf6M/WaQeTBzlPk3uFgQ5taU8j7p367aSIlTydBmSp/S+2wGXaxMQdxc4bfdOA6Z1DHwWpnwjUcpG5ZnZQFcpdWdM3O7akMmoYO/VRspVjcB3bm+NSoFsXpr1hhR30VGX2abVsLZmJIxzGjLd02Ge5+04dRuMZRY87nT12rEEYUVbFQkGoGGRhBCSKFIKXUBxYceeghf/vKXAQBjx47Ff/7zn7zaLG8kDyEFYQpvGVamqwWzaF0lk2IRS7PiXSxMQTFXxbehyrLymXMbFrcVpvTmrATnoVSmuGKJ7Lc80QDASHXb0OSNv2+zk2jAVGSUtcAXmwFPCVLPmU7La/mv3aeQCL8S4gzIayMsYYew0nz2AtYY52B/RjPbLdKoPKCFgM6CZbYpDKVOJALX47qYBd2ulLLjs9QZ7QXHah6fNc6nWr8sCSkfQoicMsIWq89qY5999sGll16KqVOnYuXKlVi0aBEA4N1338XIkSPzapNKCSFxUhEKSZiSYWwrl0VMB4DnaYWLWjiwkrDdlXvTNcwkmPpWp5oVAWE9D/c6U8jXLmpKSY4qvAqgqcVZgU9bDV0AzYOcf/d2OYkGzAKCQsU9mG5ZYVYFQ1kQCSfdsz5HepYTFTzvS2BgWFUi1UsJsVj5zhP+Y/W8ZXgA1WfdtHhYcP5nplhOccEKWDN9CxlBNzRQ7yCElIWFCxdizpw5uPfee/HDH/4QEyZMAADcc8892G+//fJqk0pJ3vCbnxSJfFPUFo1cn+VSPPvBVe48KPkcluozHxDITbTAHhhHwa6KgXaD4R+ZhGshHCVEZdVqiJhhxbRu6mB/Q5GIOm7fgGFYcdS8BN0Pzf6lV38E8LtKpe1HBLbBr9ApBULXfTGURfP6hKFAqfMlDCtRilnEUMJC/prWJTN2xheTwt8pQnImjsDzKgx0nzx5Ml566aWU7T/72c+QSOQXu0alhJA4MFdt404WkLZ4YqZV3yIHvheaNCGqtaDBFaaTA447UU59oHR6iczBlS+lcKIShqMiUq9Fx0gY+2HUi1Er+YkGoGlQeqtIOgb6ndpOQfctwI0TSjexRnyITt+MQLxPiGtXKAFFRrnKmS5ReoFA+s9LsbBI71qUZUNK5zboYonm85jm4TGvx3QnC72URIgFKejDGowpMQs+mgoWIYQUzqZNm3DPPffg7bffxjnnnIMtt9wSr7zyCkaOHIltttkm5/aolBBSNoQnfKcEk8dIKTJr6YDmiO4yUWteeB3Aq5cRkpI1HVbCEyBzVUpKjVm8MONxwWsNKYQYivn8qVMT3mo9YAj/bj+JRi8NcnLAU6ZzITngKCT2AHTmKjUe9UcijWIaeHYseAHwgLO66JuOiJqjWRjRPDfd3Kc8wwGrCZBaf8bfQIbBZBlzwZZUaSg7OVUBIKROEbl/zxWjzyrjxRdfxCGHHIJhw4Zh9erVOPnkk7Hlllvi97//Pd577z385je/yblNfkMRki9RV+eFUacibqtIyRH+eVFB65kIrf1hNmnU+rASgNUALWjV2nyaNUzSoRSrdKTItzL989fQBDQ2OXEhDU1Ak1vtu6ERaG0DmlqdopNWwvl3IofMTXbSCXDv7/UUEpl0A8SVpcG971GKBOprE95LAjoTn0gn3AtDGQoJ2A+zNqQ0EdymXKWMZ92sMxM6DGHUsMnDtUFUyioGIYQAZ511Fr75zW/izTffREtLi94+ffp0PProo3m1SUsJIVHRq8TSLQqXRSHRxQhrTHDORliqWJ/LkfSvjGtBOSBUmtmVTLmx1usshKXgDe4H/AUYMxKSeUphBqirabVCfhayKUJhDPQ5L5jB5/AL7CpmRiLVLc1HICBfnw/H/UtZmXRK44B1IZMVKkpmsTBrhukNFdRrQi9B5vddkFJ/hhBC4ufZZ5/FjTfemLJ9m222wfr16/Nqk0oJqV+iClm6QF4ElysV1FquVXxdzC0iEnACgQsUcIIF3BRprzlEMA4ea66Wq6DdUCESleP6VipMK0I60la0DzwTKZ5HwrF6lBqzdoiyUlgNXips9fCIhGMF0Aqn8VApF0DTAqGvTSkq7nOjgthVFfmgkqOLLKaYSqAzoOnnVHhtadSDZ2givuxlyHMBIsvDnK5oZsZj1Xt3vCnXQghJB1MCR6O5uRmdnZ0p29944w0MHz48rzbpvkXqF7VKn+0VxUVLuSDJMltGol6DvpYsaUsBz93Mp7QZwfDC8renApALVXSkHW3OKVxlQRr33A3mTjQarybv36X+IVR1Omz1nNiuAJ/0Pisy6Vkeg9uVm5dpZVD71CKBXjBQ1kv3OTTf60xVIc+OEHACU8zMVep5lv5/q4xh1UIwLTIhhBSJGTNm4OKLL0Z/vxOfKYTAe++9hx/84Ac45phj8mqTSgmpU4okjJkuNFWTfjOY4lStYrt+90rg863EG8JNWHVwLQAWeZxaQQq80lEttyASMr/rEZabJavViRVpbHbqhKhXU0v2NnJFSid2xHwBntsU4NNrs1yA8U8jMUF4x0askYrdUn2pc2FYYALtm/2khI1IfzyYLxBeBF7utlxd3HxjyP/U7EjklaSAkHpEpQQu96vKuPLKK/HJJ59gxIgR2Lx5Mw488EBMmDABQ4cOxWWXXZZXm3TfIvVJoS5AKmi3WgOtfTELRlrSisJcHY93JPERliUqA8JyAtWjBo4Xk/6e8O06RiaPm6iKDGY8xnCr9BVlNFMaA05tEuODb7qC+fpxBQRfPJgIfGcEg2PcvnO6xjL6IUq12FB9gg8hpDJpb2/Hgw8+iMcffxwvvvgiPvnkE3z605/G1KlT826TSgmpPYKrgWGCQr5WDV2NudIE+BwQoAtUNaEycmVUTNy4i6aYFJKwSvOAG0My4Hd/ypisICR6PPh5FgG3Ql/Fe/jt/2ZxRGEcH4y50Sms1cmG1UO5iKm4E2HEwgStWaqtYO0Y5T6WcqmGIlNq/cS0JBFCSJHYf//9sf/++xelLX5DkdpCV0ouUpyDwjJWVCsVFcDcPCh9le1EQzyCSZR0psFDoqTHrRdSMpgZWAmgdQjQOjS3lL3FRGWlM2M6hOUoJFbCdU8wChPquJDACwjElpjxMe5+X4yUDMSsSC9bm3JBNF0RlVUl2IYOcrf9fUjjmlSMi1mg0MzCJ204SSRs7zxfXEtI7IuerxClpdjkUs+HkDpGBbqX+1WNrFy5EkceeSQmTJiACRMmYMaMGXjsscfybo9KSb7UrTtJFaKz9wRXXCM8/pHTrlYAja2OMpJodJST1ja/cpJozK8ad5zwc+YRzMglhBsvMrjCVsCF/9+2bbhRJUKOAXTtDp+1ItCmsAxLhHrBtQAkPKUAgGdxcS0W6nNs/tVxKCqmSh0XmGNfmmoVVyKgK7lnUhaF++JPLSGkxrj99tsxdepUDBo0CPPmzcO8efPQ0tKCQw45BEuWLMmrTbpvkdonnbUk06qhWtWtBmUE8IKbfduEE1+gXFMaWypbIQl1sVcpTV3BsVruR8lQwrbMvZhhMbFtv15h20baWWOMKsBauyglXSHdiJXRrlMiXAnQbk5uKuFg7IZZt8W0iGikm1zL7SfoCqfGrQLqw9oOtq+sHFqRCrHoVdSzSu2ekMjEEXhehYHul112Ga644gqceeaZetu8efNw1VVX4ZJLLsEJJ5yQc5tcviG1RbHqb1SUQJEGYTlCaWML0DIkXOFQq+lNrZWtkKRDubfYZjawKryOUpAcKE47QXfHKJ8hOwls/gTY/LHz6u0KWENUGl5TIQmkpg1mqpVqLIZCoWJRtIuU9LtVmZYTp3P334Y1RW0TrjVEv7eM9yr2RHj7fdYUlUEs4VlTVNth1hfdh3ofaM9KeJYZfY70W5J8WcUC5ypMa0zYS/VhVpMnhJAi8M477+DII49M2T5jxgy8++67ebVJSwmpMfJUSirZMmI1AA2NnnChVqXzFTDi8CuPEljPxdyIuMK+qpjePDjVSpYrmwMFsHSwtvTfu6ZWZ19/jzeOlBTRRmC+co2SScMS5iqV6n1YRXVtPYGneEjbzYrlzoFeQFAKi+pfplpTpBsBr9rQWboMS41p3Qkm1xLCq6iuxgM4MTNaCTPmQRd0NAqVBj8CYXMXLMwYDKLXh7nWpmzfV8F5pU5CSHbMgq3l7LPKGDt2LB5++GFMmDDBt/2hhx7C2LFj82qTSkm+VN/zUx/kmpazkpURwBFcmgNxIIkCJYtKzbwV9d5ZVuXer3KhXYdKOA8qdsIUnpP9AQuNUjAsvzKQMUlB4B4Hr8HnhoXUOiUqs5WdRKqULbznQ1eBNzJ6BRUgpXxJZfmQ7r+N9tJlq1N1TGSI+xjgzVm6+2RmAZOAEyQf8burkhNuEELqgrPPPhvz5s3DCy+8gP322w8A8MQTT+CWW27BNddck1ebVEpIbRH1Rz0uZSTR6Fg9zJVU2/bXeFBuG8Jyjy2iBhx0j6kkot67eldIFDKT4F9w495fFWAOpAriKmuU6V6lPlsSXgyJ6cZlKgbBejk6mN1ILRy831JCZ3PTlpOwoetO3I1um5ZxnM68Jf2CfoqFIuwzaJxjJZD2c2VajkzMWBidy7jEz3bVFHglhFQ6p59+OkaNGoUrr7wSd911FwBg1113xdKlSzFz5sy82qRSkjc0lVQuwit+lrIrxqKHViIktiMBJOC43wz0O8c0lDB4uVIVEgDap76eV4ETDbnFiijFulD3rSC+uiPBfUrINoK9haHs2snU+6iDwQP31te+yOH5zPD9q/pNGYP7V8e+KPe0YJthgrsMHAM4SoQ0rsGCP/W1ZTRpxquku4R8FIbQ7BAZDufvFiHZEJaAKHPgebn7KxazZs3CrFmzitYelRJSg0hHYApzrYhT4G1oTi8UWAmgqQw1OSrdyiBVPY5MQqf0BMqU+az2lWDhKK59m6Of0t/jj11IQfr/GeompwKzYVjTlHXB9goyquB19xQg4bo3Sf99C6b2Va5RKktcY4s5IO+c/l4jXsNwwVLCtxLu1ec4ZeFBWWMsvzXHOdgo3gjvs+Cbj2zPj6mchFiHTEJjRow4kTgeVVpKCCFFYscdd8Szzz6Lrbbayrd906ZN+PSnP4133nkn5zaplJDaRQm4MkJAaKlpaC6tBSQqcc9DFKKslqcV7KpztclHohFoSDpB7FEZ6DNS8mbASniWmKDQLJNGDIfaJtPEVBjuSqYrli89r6vYpAjnItyyo4v7KWuCoRQppUQFeOvrSRNfpFIMB4Pewyqrp1hIzDiZXD8vwv/PXHSAMMWGEFJ+GOgeidWrVyOZTP3O6u3txQcffJBXm1RKSG0TVpeg3CQanbS8lUClBrkXi2QfYFvxVa4vBqq+TC5KCeDWDkmTLEBlwdLWAZXdKmQ13zbcn3RWKfdH2gjPyC5wC8/ColLuZlI4dQrhJByfRhiuUblI98ry4v7bFx9iw5/+N3Qg7p9M3xnC/3xJeOmFdeX5dGPOVVvJPIzcmqKlhBBSGPfdd5/+9/Lly9He3q7fJ5NJPPzww9hhhx3yaptKCal9VCaguBSTOFZd0lHr8Rr9vc7fliHVbTTJtwZJmMypFY9ABiuJLEpCMMDcNpowanOYypDpeqWquSssK7NM7AuYd1238vrMGi5c6r0vsD4QnJ+PoB6aMSyqwm/eByPhBSGEVAFHHXUUAEAIgblz5/r2NTY2YocddsCVV16ZV9tUSvKGK05Vha8eQZkZ6PNqjcRJ1MJ4tYAusOdmcEpxq6lQIVCn3s3RSmIZ8Rxhy+dhFccLzdyl2rQMQd+3T6T2kcjQr7CMWJN0fQKQRka6ZNIJLvdZVALXr+JZ9HtXWUopuOiS4uIV4XMTVXkyF0eCMW/BPqK449XL55mQcmIhhoru5e2uEGz3e2ncuHF49tlnsfXWWxetbSol+cLfguojW92AUmElip8dKR/qyV89l0DxSkJnsMpRaZKI3woW/E5MNAJNWZQMEyHycHPscxQ4FcBvBsFrAosRosEfixJaADIkEUDBX/oiYLU12lOLJqb7Xa27WhJCqpp8q7ZnogIkJULKjCyz1SQlDXBMVKp1gKRiJYAk71cktBVIpSh2rUZm/IvPUiT9Afm+eibqn4HPa9GVlJDvH23BKeWiSQV8DxFS4QghIMr8m13u/vLl2muvxSmnnIKWlhZce+21GY+dN29ezu1TKSH1SbmsJonGEha4y5F6spRUO3aOMSVFjJ2uLkIsIynJLQIKgPl5tJNGrIuZOjno/mb5t+WVmQv+rGTp4tzSFVskhJCYufrqqzFnzhy0tLTg6quvTnucEIJKCSE5oypOl0oxqQS3LQXdQaqHXBUMFSNRd9awkCxawaB7COcz7itkmCNCpMblhMXp6GGFpR5WY3Hb8ikdgSxhdhKA5fi1h2ZTg5ddzPiTnepYjSWEVCamyxbdtwgpBekqQBeDZD/Q0FTcNvMl7pgDEp1Eg/PskCwETUQi1QqqlDV1mFmHJR+ypTbWx2UYr5SBGisy9FKcWJOQ76Vg29oDLct3WJW4iBASK5aIIdCdn02ASgkhHqVwm0gOOK+4LSb1lHmrFmhsyV0pkaWOR6gCfAHs6n/Cbz0Jfg6ifCzSFoLMAV+2LcsLes/2uaQ7FyGkAvnWt76Vcf/NN9+cc5tUSggxUfUVfHUMCqSvG2gZGu8qJQWa6sKynHikfBSTekZnsYKhnLgKuVIKCrGUCFHAufBcvlSxRTMbl0ikV3qUO5fIsriQLbaI6xKEZIcV3SPx0Ucf+d739/fjn//8JzZt2oSDDz44rzaplBCSgnKvKNLqpJRAz8fxKiZUSqqPxmavxoaKB8oaAF/E57YaMD9OyhriK/IYckJojEamOiUK9xhLVbrP8lkOc7kyS8noOi5GBXqfQhKIhQGc56Ce7i8hpGJZtmxZyjbbtnH66adj/PjxebVZReVaKg0uOdU8tltVWmT7mEQ4RiTiXQmp9xX0asRKOHU+mlqBlsFAIhHhWUR9CaxWA9A02Pl3JiVBu06FKBzS9r9UamHfNjjn2+5Lulm/0r7CPm+2d756Ad4CSArS36c6XllXCCGlQVlKyv2qASzLwllnnZUxM1cmaCkhJBOqIniYr76Z3jObjppLEblSUE+CaqmIex2iodl52UlgoC+za1e9rKYL4ShrDc3ufIQVQlSB77nEgwSyWpUqHsu07ERROBXKzTT2h5IQQvy8/fbbGBjIMa29C5USQqKgs/gYSopP6MviNpOLwFEKmA64CMS8kqVW0hINbnHFBs+9q6/HL3BXhEJSJoFZVYJXSpr+rEk4zgDSc5eKPCTp+5PaZ4Z9+aAKPuaENGJUKuF+E0LqibPOOsv3XkqJdevW4c9//jPmzp2bV5tUSvKmNkxtJAeU0JdO+bBthEorcZtmlUsKKZAKmkMh/KmmWxqA3i7/c1lPmbjUZyzlcxl0dSrS51DXCEn3TATrp6Sxppr1T1Twuz5OIHW8Ye3mEmdSQc8wIRVLHL/Z1SdT/v3vf/e9tywLw4cPx5VXXpk1M1c6qJTkS434/5E8SPvjnyblaNzQSlI8LEOAjPIVEOU43zF5fq8IATQPBjZ3Gu3WmYtPotH97LnxHlrYl4G/8L6/lduUtjKlmaug65dAls952OJEYFNQkRCJiJ/VYDETePFvFWEhI4TUA4888kjR26RSki9USkgYoauWMT8rWTM2kUgEszpFlfWjHKeL3xXwrAjhBMX393gCs69AX43T2Oxcb2+3895MC2wiANjBG1nNipubaCOY+pgQkh+W5bzK3SehUkJI0Qmudsb9ZVMvQilxXLpUIDwQc0B0DMq4Zfyk1YuFUKhMYO57FlskhJSBT33qUxARF9Kef/75SMdRKSGk6FRQrQgpgWQFjIOUD+ViplyOhBXTynnc1ocCK7BnabpiUPdYwKhnE0jMQQghReZLX/oSrr/+ekyaNAlTpkwBADz99NN4+eWXcfrpp6O1tTXnNqmUFEQd+WuT3DArNcf5iDDIvf5INAJNcKwm0gZ6ukonnMeNtIHkgD9uJFjDQyRSY3vMY3SAuXGQEvR1GwL+sl4ydX8wG18w455U29zfjWCwvP6n8L8XxjHpYpSUa6G5GKJTIdOdi5CcYEX3SPz73//GvHnzcMkll/i2//jHP8aaNWtw880359wmlZJCoE5CMmEWOwsKOeWiFgVRkhkzM5ewgJYhXpxFohFoaHT+3ddT4nijMvzI2jbQt9ntTngKhi+A3PLHA6UEmFuGq5fxhe777GRR6kRIMcOw483geCvhfy8D/5DGOaZS6YtzjzDHKuifigkhpIjcfffdeO6551K2f+1rX8M+++xDpYSQikMJDbYNJGJQSqwGoGWoV6chDFOwkdJZeU72OwJrpWUSI7kjBNA8KFWAbR6Umka4qJTz2RHes6qvp8JWjZR1xg6xXmZbsJC2q3SFpBs3LTh2iIXGaQAVNx+EVCq0lESitbUVTzzxBHbaaSff9ieeeAItLfkVjKZSQkgpkdL5sgm6lJSLXL9chXBW0hvc9KrKPSbZXxkxMiQ/wp4BIZxK6H3dpeq0RO2GUA1ZxqRtWD1ClIts+kLQYqK2pVSwT3N+lD4IISQiZ5xxBk4//XQ8//zz+OxnPwsAeOaZZ3DzzTfj/PPPz6tNKiWFwC94EgUrUZWrILqwm5Vw0q0qK4o94Prx295xxYTWmfJR0ueyTPdRuUH5rkX4/5rWAx1DIrwNIgEvtkOEtAd/kcOUactR8RcJ5xwrUEtFWJnviVJM1BhzmWKZzopCCPFBS0kkzjvvPOy444645pprcPvttwMAdt11VyxevBjHHXdcXm1SKSGk1CgBvtoFAmVFgRuToNLNFjvlcW+XM2ek9FS6dSEKoddgZMDTblPucVagSGEwO5muGWMoO7abxUoI97OcMDJc2blZQtU4gnEe6n1OdW2sHBUTxpgRQorHcccdl7cCEkaVS0mEVAm93bVnAbAS8ddgIfkjpeOWV6voz5v0FIgoWK4VQyWosJPuL6WrlKh2lIUmLtdMQgiJkTVr1uD999/X7//2t7/hjDPOwK9+9au828xJoli0aBEmT56MtrY2tLW1YcqUKbj//vv1/lNPPRXjx49Ha2srhg8fjpkzZ+K1115L215/fz9+8IMfYI899sDgwYMxZswYnHjiiVi7dm3eF0RIRWInHd/9WlNMSJVTSpeBuN0R8vis6dS+ykfLVUJsQ8FR1gZ1XLVZm/gdREhmVEX3cr+qjBNOOAGPPPIIAGD9+vWYOnUq/va3v+GHP/whLr744rzazGkWtt12W1x++eVYtWoVnnvuORx88MGYOXMmXn75ZQDA3nvvjcWLF+PVV1/F8uXLIaXEYYcdhmSa4m3d3d14/vnncf755+P555/H73//e7z++uuYMWNGXhdDSEWTHHDSl1IoIJWAysrV2OJavYr8it1dUdUciXCM8iEXwetw4zcSCSDRAB0HIqzUa806Jw2B43Jpo8F7JcxXwknzHPZqaAp/EUJIEfjnP/+pA9zvuusu7LHHHnjyySdxxx134JZbbsmrzZxiSo488kjf+8suuwyLFi3C008/jd122w2nnHKK3rfDDjvg0ksvxZ577onVq1dj/PjxKe21t7fjwQcf9G37xS9+gc9+9rN47733sN1224WOo7e3F729vfp9Z2dnLpdRRChckhxJ9gM9SSdwPNFYlcFtpIYQwnkWG5vjHkl+WAmnDosOTHcDwC3hFR5U+6SsytVIQkiZYaB7JPr7+9Hc7Px2PPTQQ9qgsMsuu2DdunV5tZn3N3QymcSdd96Jrq4uXV7epKurC4sXL8a4ceMwduzYyO12dHRACIFhw4alPWbBggVob2/Xr1zaJyR2pFvwrecTYKCflhNC8kWl2040eNaHhLI6uFYO8y8hhJCisNtuu+GGG27AY489hgcffBBf+tKXAABr167FVlttlVebOX9Lv/TSSxgyZAiam5tx2mmnYdmyZZg0aZLef/3112PIkCEYMmQI7r//fjz44INoaopmMu7p6cEPfvADHH/88Whra0t73Pz589HR0aFfa9asyfUyCIkfaTtxJn3dwEAflRNCCCGEVAU//elPceONN+KLX/wijj/+eOy5554AgPvuu0+7deWKkDI3Saivrw/vvfceOjo6cM899+Cmm27CypUrtWLS0dGBjRs3Yt26dfj5z3+ODz74IFJ1x/7+fhxzzDF4//33sWLFioxKSZDOzk60t7ejo6Mjp/MKprujfH2R2sdKAE2DuKJbzymBhQBay/gdRgghZSQ2eS0Camz/PeNotDU3lrfv3n5stfD3FTkvmUgmk+js7MQWW2yht61evRqDBg3CiBEjcm4v5zolTU1NmDBhAgAnsP3ZZ5/FNddcgxtvvBEAtEvVTjvthM997nPYYostsGzZMhx//PFp2+zv78dxxx2Hf/3rX/jrX/9aVTeEkKKhMnQ1D65K/1JCCCGE1A+JRAIDAwN4/PHHAQATJ07EDjvskHd7BS/J2rbtCzo3kVJCSpl2P+ApJG+++SYeeuihvP3QCKkJ7GT9WgkUDU0VkLmJEEJIXaKz8ZX5VWV0dXXhW9/6FkaPHo0DDjgABxxwAMaMGYOTTjoJ3d3debWZ0y///Pnz8eijj2L16tV46aWXMH/+fKxYsQJz5szBO++8gwULFmDVqlV477338OSTT+LYY49Fa2srpk+frtvYZZddsGzZMgCOQvKVr3wFzz33HO644w4kk0msX78e69evR19fX14XREjV099T3/EliUYno1JTa1V+URNCCCG1zllnnYWVK1fij3/8IzZt2oRNmzbhD3/4A1auXImzzz47rzZzct/auHEjTjzxRKxbtw7t7e2YPHkyli9fjkMPPRRr167FY489hoULF+Kjjz7CyJEjccABB+DJJ5/0+ZW9/vrr6OhwYjE++OAD3HfffQCAvfbay9fXI488gi9+8Yt5XRQhVY20ndTB9VxTQAjn+hONThKA/l4wBTchhJCSE0cxwyqMJf3d736He+65xyerT58+Ha2trTjuuOOwaNGinNvMSSn53//937T7xowZg7/85S9Z2zDj6nfYYQfkGGdPSH3Qt9krnFbPqDoaDU1UTgghhJAKobu7GyNHjkzZPmLEiPK4bxFCykhvF2DbcY+iMlDKSetQoKFKC/0RQgghNcKUKVPw4x//GD09PXrb5s2bcdFFF4XWL4xCztm3iAstPKTUSAkk+wArczrtukIIoKkFaGxyrCYDjD0jhBBSRFjRPRLXXHMNpk2bhm233VbXKPnHP/6BlpYWLF++PK82qZQQUsn09wGNVEpSEJYTCN/Q7KRRtpNxj4gQQgipG3bffXe8+eabuOOOO/Daa68BAI4//njMmTMHra2tebVJpYSQikY6KYIT/KiGYllOXZe+bqZSJoQQUjgCMVhKyttdsRg0aBBOPvnkorVHSYeQSqe/1wl4r0LzblkQAmga5KRSpjsXIYQQUhbWrl2Lxx9/HBs3boQdiIGdN29ezu1RKSGk0rEHnDTBos4zcWVCCMfNTViOckIIIYSQknHLLbfg1FNPRVNTE7baaisIY+FUCEGlhJCaRdoAqJRkRGXoEsJJqUwIIYTkCgPdI3H++efjggsuwPz582EVqc4KUwLnDbNvEVKRNDQBzYPiHgUhhBBSs3R3d2P27NlFU0gAKiWEVAeCH9WcSDQCLUOqcvWJEEJIfAjLiuVVbZx00km4++67i9om3bcIqQaolOSOlQCahzhFKCWLUBJCCCHFYsGCBfjyl7+MBx54AHvssQcaGxt9+6+66qqc26RSQgipXSwLaBkM9FAxIYQQEoUYYkqqMCfwggULsHz5ckycOBEAUgLd84FKCSHVALNv5Y+wHKtJkkoJIYQQUgyuvPJK3HzzzfjGN75RtDbpE0IIIYQQQgiJTHNzMz7/+c8XtU0qJYRUA73dgGTGN0IIIaSkqJTA5X5VGf/zP/+D6667rqht0n0rb6rvASJVjLTpwkUIIYSQiuBvf/sb/vrXv+JPf/oTdtttt5RA99///vc5t0mlhJBqYaAfaKJSQgghhJQMFk+MxLBhw3D00UcXtU0qJYRUC9IGkgMIL9wpAtsFkODHW2Ml0mffsm2wGCohhBASncWLFxe9TUothFQL0nZqbkRlUHvpxlJtNDY7rzCkzZTBhBBCSMxQKSGkashxNV/KqjQJlx1hOdXfe7sBeyDu0RBCCIkTy3Je5e6TMPsWIVUDs2+VDiGA5kFAojH7sYQQQggpOrSUEFItSInU2BFSNIQAmlqBfgsY6I17NIQQQuKAge6xQUsJIdVETiZeKi85IwTQ1AI0tsQ9EkIIIaSi2HLLLfGf//wHAPCtb30LH3/8cVHbp1JCSDWRiwsX3b3yp7HZcecihBBSX7B4Ylr6+vrQ2dkJALj11lvR09NT1PbpvkWKj7Cg3YykBFfsi0hOSokNgHVN8ibRCDQPdgLg+QwTQgipc6ZMmYKjjjoKe++9N6SUmDdvHlpbW0OPvfnmm3Nun0oJKS7CSk2tKgRX7YuGDJ/j0EM55wWTaABaXMWEKYMJIYTUMbfffjuuvvpqvP322xBCoKOjo6jWEiolpPRI6RSvs5Nxj6RGiKhsUIguDlbCU0z4DBNCSG3DQPe0jBw5EpdffjkAYNy4cbjtttuw1VZbFa19KiWkuKStmp2kYlIsZERrCS0lxUNYnisXa5kQQgipc959992it8lAd1JEsmj6dtKNNyEFE2VVhUpJcWEtE0IIqX1U8cRyv6qQlStX4sgjj8SECRMwYcIEzJgxA4899lje7VXnLJAKJYIQLIQXCE8FJX+iKBx03yo+qpZJY3PcIyGEEEJw+eWXQwiBM844Q2/r6enBd77zHWy11VYYMmQIjjnmGGzYsKGo/d5+++2YOnUqBg0ahHnz5umg90MOOQRLlizJq01KhaR4RFEy7KQrLEuu5Jcazm9pEMKpY9IUnnGEEEIIKQfPPvssbrzxRkyePNm3/cwzz8Qf//hH3H333Vi5ciXWrl2Lo48+uqh9X3bZZbjiiiuwdOlSrZQsXboUl19+OS655JK82qRSQmJE0lqSL5Hct2wqJqWkoYm1TAghpNaIsU5JZ2en79Xb25t2mJ988gnmzJmDX//619hiiy309o6ODvzv//4vrrrqKhx88MHYe++9sXjxYjz55JN4+umnizZN77zzDo488siU7TNmzMg73oQSISkeVZI9ovoRTBhQKahaJtniqQghhJAsjB07Fu3t7fq1YMGCtMd+5zvfwRFHHIGpU6f6tq9atQr9/f2+7bvssgu22247PPXUU0Ud68MPP5yy/aGHHsLYsWPzapPZt0hxEFZ+grK0o9fdIA5WDnMtbUCwgGJJYS0TQgipHWJMCbxmzRq0tbXpzc3N4fGLd955J55//nk8++yzKfvWr1+PpqYmDBs2zLd95MiRWL9+fdGGfPbZZ2PevHl44YUXsN9++wEAnnjiCdxyyy245ppr8mqTSgkpDm4Bd1Jh0H2rPKhaJv29wEBf3KMhhBBShbS1tfmUkjDWrFmD//mf/8GDDz6IlpaWMo0sldNPPx2jRo3ClVdeibvuugsAsOuuu2Lp0qWYOXNmXm1SKSHFwS5ghVjaAESIBcBdrVCrzyr+pN5Xo3O5/nqfq3IiLCf43bZZy4QQQqqVOFL05tDfqlWrsHHjRnz605/W25LJJB599FH84he/wPLly9HX14dNmzb5rCUbNmzAqFGjijlqzJo1C7NmzSpae1RKSOEUxf1KegqJqXyYK/1mH/VciFHK6NdPS0n5aR4E9HbV7/NJCCGkZBxyyCF46aWXfNu++c1vYpdddsEPfvADjB07Fo2NjXj44YdxzDHHAABef/11vPfee5gyZUocQ44MlRISDcsCZMBHSwhH6C32anyU9sxCjPVoDYh8zVRKyo4QTvB7XzeQpMWEEEJI8Rg6dCh2331337bBgwdjq6220ttPOukknHXWWdhyyy3R1taG733ve5gyZQo+97nPxTHkyFApIZlRK/Jh7llxy7tKMLcSxlhyUJKsQAC4sirUlJLDrFCxIATQNAjo72GMCSGEVBMCMQS6F7e5q6++GpZl4ZhjjkFvby+mTZuG66+/vridlAAqJSQ9okpcpMLGqKw4YQiBjGl1hYWKL+4YdWxBxYuUD1VkUQgnAJ4QQggpAStWrPC9b2lpwS9/+Uv88pe/jGdAeUKlhKRBALIKFJK0iPRp/ewkMpp5zMD6areaUCmJF62YWEDf5rhHQwghJBsxpgSuVqS7UCoKvA4WTyThlDvzRLGRtvOyk6mvXNpIqfEhHAEz7kr0UZQNYVX9F13NwOrvhBBCaozf/OY32GOPPdDa2orW1lZMnjwZt912W97t0VJCSCZkEr4iLGaK4jiJkoKZVpLKItEItAwBeroQf0AWIYQQkj9XXXUVzj//fHz3u9/F5z//eQDA448/jtNOOw3/+c9/cOaZZ+bcJpUSQrIiXYtJQJCMKy2xSERzraNSUnlYCUcx6e0KV27jtsARQki9Q/etSFx33XVYtGgRTjzxRL1txowZ2G233XDhhRfmpZTwF5CEU8lB3nEgk55LmMJ2rShWoswKAIPcqxrLchQTK2RNqAp/mAghhNQf69atw3777Zeyfb/99sO6devyapNKCUmlFgK8y4ZME6siSrfqnW/KY1I5COHEmCQa4x4JIYQQE2F5Vd3L9apCK/mECRNw1113pWxfunQpdtppp7zapPsW8VMpMRNVj0RJaoREdRmzElx1r3SEAJpagYGEU8+EEEIIqRIuuugifPWrX8Wjjz6qY0qeeOIJPPzww6HKShSqTzUjJYaCbNEohVIQJcAdcLI9kcpHCKCx2Sm0SAghhFQJxxxzDJ555hlsvfXWuPfee3Hvvfdi6623xt/+9jfMmjUrrzZzUkoWLVqEyZMno62tDW1tbZgyZQruv/9+vf/UU0/F+PHj0draiuHDh2PmzJl47bXXMrYppcQFF1yA0aNHo7W1FVOnTsWbb76Z18XUDSolrbCcoOeUtLURsBLQLkYqJsJK0EpSTGy7uCZZyy3qGAW6BVUXDY1A8+CqNOETQkhNIUQ8rypk7733xu23345Vq1Zh1apVuP322/GpT30q7/Zy+gXcdtttcfnll2PVqlV47rnncPDBB2PmzJl4+eWX9eAWL16MV199FcuXL4eUEocddhiSyfTuJldccQWuvfZa3HDDDXjmmWcwePBgTJs2DT09dGcIRSkO+pX0MjGZAo2w4ARhB7apY1QBwWAtD1JE3Pm1Et7cm3Ee6h6pf2eKARFWblaSKv2Cq2sSDU6hRUIIIaQOEVIWlmZpyy23xM9+9jOcdNJJKftefPFF7Lnnnnjrrbcwfvz4lP1SSowZMwZnn302vv/97wMAOjo6MHLkSNxyyy2YPXt2pDF0dnaivb0dHR0daGtrK+RyoiMlsLmzPH1pjHoZ2fabsQfCMrJpMatW/CiFIexeuPdQ3z9XscxFYWwZwiB3QgghFUcs8lpE1Ng+/Nn30NbaXN6+N/diy3Ouq8h5CWJZVtbK7UIIDAwM5Nx23oHuyWQSd999N7q6ujBlypSU/V1dXVi8eDHGjRuHsWPHhrbx7rvvYv369Zg6dare1t7ejn333RdPPfVUWqWkt7cXvb29+n1nZ7mVgzIihKdQZBVOpZc5y5R36ZJVYWRSDN19tlG0MReFJJvFhRBCCCEkT5YtW5Z231NPPYVrr70WdlTPjgA5KyUvvfQSpkyZgp6eHgwZMgTLli3DpEmT9P7rr78e5557Lrq6ujBx4kQ8+OCDaGoKD7pdv349AGDkyJG+7SNHjtT7wliwYAEuuuiiXIdeuQgjlkMrIa5wqhQSETHrkrT97ZEqJg+rFgPcCSGEkPwRMaToraJ4wpkzZ6Zse/3113Heeefhj3/8I+bMmYOLL744r7ZznoWJEyfihRdewDPPPIPTTz8dc+fOxSuvvKL3z5kzB3//+9+xcuVK7LzzzjjuuOOKHh8yf/58dHR06NeaNWuK2n55EW5MiKuISBuhwmiUCt6+Y+mmVZdQKSGEEEJIGVi7di1OPvlk7LHHHhgYGMALL7yAW2+9Fdtvv31e7eWslDQ1NWHChAnYe++9sWDBAuy555645ppr9P729nbstNNOOOCAA3DPPffgtddeS2vqGTVqFABgw4YNvu0bNmzQ+8Jobm7WGcDUqyoROWRTIiQbiUYGuBNCCCGkpHR0dOAHP/gBJkyYgJdffhkPP/ww/vjHP2L33XcvqN2C7UW2bfviO0yklJBSpt0/btw4jBo1Cg8//LDe1tnZiWeeeSY0TqXmoABJigmtJIQQQkhhWCKeV5VwxRVXYMcdd8Sf/vQn/Pa3v8WTTz6JL3zhC0VpO6eYkvnz5+Pwww/Hdttth48//hhLlizBihUrsHz5crzzzjtYunQpDjvsMAwfPhzvv/8+Lr/8crS2tmL69Om6jV122QULFizArFmzIITAGWecgUsvvRQ77bQTxo0bh/PPPx9jxozBUUcdVZQLrFwEU/CS4sEAd0IIIYSUmPPOOw+tra2YMGECbr31Vtx6662hx/3+97/Pue2clJKNGzfixBNPxLp169De3o7Jkydj+fLlOPTQQ7F27Vo89thjWLhwIT766COMHDkSBxxwAJ588kmMGDFCt/H666+jo6NDv1dB8aeccgo2bdqE/fffHw888ABaWmo0X7+VcMNHqJCQIsLaJIQQQkjhMNA9IyeeeGLWlMD5UnCdkkqgauqUWBEzaBGSK61Dq+pLjRBCSP1RFXVKrj4rnjolZ15VkfNSTijFlAsqJKRUJBqpkBBCCCGkqsm7eCLJkTwLyRCSFSmBvs2p2xuaGGdCCCGE5IIQ5XeHpvs1AColpUUIbwWbVhJSKuwBIEznTTSWfSiEEEIIIflApaRYWJZjDVFKiHCzazGgnRBCCCGkOrAs51XuPgmVkoIQluM6A+m5Z0n1N7ZREUIIIYQQUlVQKckXKT0FhJBCCa6SSACmi6ntKr8ZEU4MiZUAEgnGkxBCCCG5wpiS2KBSki98gEgxCUuEYOog6bK3qWB2K+HmVudzSQghhJDqg05shFQzKo6JCgkhhBBCqhhaSgipZuwBoHfAUUqaWphxixBCCCkEVnSPDc4CIbWAlEBfDzDQF/dICCGEEEJyhpYSQioBYWVOnJCpzk3zIFpICCGEkGIgEEOge3m7q1RoKSGkEmA8CCGEEELqGFpKCKlEhAU0tToxI8mBzCmoe7uhl1maWpyMXIQQQgghVQSVEkIqARmoQSIEkGhwXo3ufqWghMaNyPB2CCGEEBIdVnSPDSolhFQCUqavRQK4Skqj81KWkDAFhBk8CCGEEFKFUCkhpCKQrsLR7LzNFGPCSu2EEEJIaWBF99igUkJIJSAsxwLCLyZCCCGE1CFUSgipBBqbqZAQQgghccPiibFBpYSQQhCWE4ye/oDwTQP9TjYtK+G2wTojhBBCCKlfqJQQkg9qJaWhMf8UvHbSOZcKCSGEEELqHColhOSCCjJvaHYUknxpbCnOeAghhBBSPIQALAa6xwGVEkKioJSRplZmvyKEEEIIKTJUSgiJQtMgFjcihBBCah0GuscGlRJCwlBfEC1DaFYlhBBCCCkxVEoICYPKCCGEEEJI2aBSQohCCKC1Le5REEIIISQuWNE9NqiUkPrGSgDNg+IeBSGEEEJIXUOlhNQ5ggFmhBBCCHFgoHtscBYIIYQQQgghsUJLCSGEEEIIIYBTOLHcxRPL3V+FQksJIYQQQgghJFaolJD6hosThBBCCCGxQ/ctQgghhBBCAKYEjhFaSgghhBBCCCGxQksJIYQQQgghAFMCxwhngdQ3/CIghBBCCIkdSmSkvrFoLCSEEEIIiRtKZIQQQgghhACsUxIjtJQQQgghhBBCYoWWEkIIIYQQQgA3JXC5A91pKQFoKSGEEEIIIYTEDC0lhBBCCCGEACyeGCO0lBBCCCGEEEJihUoJIYQQQgghJFbovkXyo7EFSDQAUkY4WPr+GP+ISIhZM52lk3VHCCGEEJIvrOgeG5TgSH4IC7AScY+CEEIIIYTUAFRK6oGGpiwKRI4BVgJUSAghhBBSe7B4YmxQKakHrAagoTHuURBCCCGEEBJKTk5sixYtwuTJk9HW1oa2tjZMmTIF999/PwDgww////buPSjq6/7/+GsRWEDYNcQLtaA2NUE38ZIQQzCOl4wRrWmM8dcxHS1KbRgTlFatbZlJotEqthpNv44Vx0mIrXFMNUOrpt6qQiY/8VKMk1QbMmlNtFGglq+7QBSQ/Xz/MG6DXOSy7AF5PmY+o3z27Oecz+e4um/f51Km+fPnKz4+XuHh4erXr58yMjLkdrubvGZFRYXmzZun2NhYhYeHy+VyKTs7u/V3dKcJDa97hITdctgbPoK/dgQxVhEAAAAdV4syJbGxsVq1apXuvfdeWZalLVu2aMqUKfrggw9kWZYuXryoNWvWyOVy6fPPP9fcuXN18eJF7dy5s9FrLly4UIcPH9bWrVs1YMAAHThwQC+88IL69u2rp556qs032OkFh5puAQAAQNfARHdjbJbVrOWTGhUdHa3Vq1drzpw59V7bsWOHZs6cqcrKSgUHNxz/PPDAA5o+fbpeeukl37mEhARNmjRJv/zlL5vVBo/HI6fTKbfbLYfD0bobaSnLkq562r+eCGf71wEAANDOjHxfa6abbSt7e50cEeGBrfvLq4qevqBDPpdAanVoVltbq+3bt6uyslJJSUkNlrn5cBsLSCRp5MiR2rVrl7744gtZlqUjR47ok08+0YQJExp9T1VVlTweT50DAAAAaJObO7oH+kDLJ7p/9NFHSkpK0rVr1xQZGanc3Fy5XK565S5fvqzly5crLS2tyeutX79eaWlpio2NVXBwsIKCgrR582aNHj260fdkZWXplVdeaWnTAQAAAHRALc6UxMfH6/Tp0zp+/Lief/55zZo1S2fPnq1TxuPxaPLkyXK5XFq6dGmT11u/fr2OHTumXbt2qbCwUK+++qrS09P1l7/8pdH3ZGZmyu12+44LFy609DYAAACAuoKCzBxo+5yS8ePH69vf/rY2bdokSSovL1dycrIiIiK0Z88ehYWFNfreq1evyul0Kjc3V5MnT/ad/9GPfqR//etf2rdvX7PawJwSAACAjq1TzCnZ+T9m5pT8v4wO+VwCqc2hmdfrVVVVlaQbHTphwgSFhoZq165dTQYkklRTU6OamhoF3RIhduvWTV6vt61NAwAAANAJtGhOSWZmpiZNmqR+/fqpvLxc27ZtU15envbv3+8LSL788ktt3bq1zgT0Xr16qVu3GzuADxo0SFlZWZo6daocDofGjBmjxYsXKzw8XP3791d+fr5+97vfae3atf6/WwAAAKBRJiaeM9FdamFQUlpaqpSUFF26dElOp1NDhw7V/v379cQTTygvL0/Hjx+XJA0cOLDO+86dO6cBAwZIkoqKiupsqLh9+3ZlZmZqxowZKisrU//+/bVixQrNnTu3jbcGAAAAoDNoUVDy+uuvN/ra2LFj1ZzpKbeWiYmJUU5OTkuaAQAAAPgfmycaw1MAAAAAYBRBCQAAAACjWrx5Ir4mLPLG0sB+Z0ntcVkAAAA0zsQO6+zoLomgpPVsNsnWzXQrAAAAgE6PoAQAAACQzOywzo7ukphTAgAAAMAwghIAAAAARjF8CwAAAJCY6G4QmRIAAAAARpEpAQAAAKSvMiWB3tGdTIlEpgQAAACAYWRKAAAAAIk5JQaRKQEAAABgFEEJAAAAAKMYvgUAAABINya5B3yiOzkCiUwJAAAAAMPIlAAAAACSFGS7cQS6TpApAQAAAGAWQQkAAAAAoxi+BQAAAEhMdDeIpwAAAADAKDIlAAAAgMSO7gaRKQEAAABgFJkSAAAAQGJOiUE8BQAAAABGEZQAAAAAMIrhWwAAAIAkm80mW4Annge6vo6KTAkAAAAAo8iUAAAAABIT3Q3iKQAAAAAwiqAEAAAAgFEM3wIAAAAkhm8ZxFMAAAAAYBSZEgAAAECSbDYpKMBL9LIksCQyJQAAAECnkZWVpREjRigqKkq9e/fW008/raKiojplrl27pvT0dN19992KjIzUtGnTVFJSYqjFzUNQAgAAAEj/nVMS6KMF8vPzlZ6ermPHjungwYOqqanRhAkTVFlZ6SuzYMEC7d69Wzt27FB+fr4uXryoZ555xt9Py68YvgUAAAAY5vF46vxst9tlt9vrldu3b1+dn99880317t1bhYWFGj16tNxut15//XVt27ZNjz/+uCQpJydHgwcP1rFjx/Too4+23020AZkSAAAAwLC4uDg5nU7fkZWV1az3ud1uSVJ0dLQkqbCwUDU1NRo/fryvzKBBg9SvXz8VFBT4v+F+QqYEAAAAkG5MOg/0xPOv6rtw4YIcDofvdENZklt5vV795Cc/0WOPPaYHHnhAklRcXKzQ0FD16NGjTtk+ffqouLjYf+32M4ISAAAAwDCHw1EnKGmO9PR0/e1vf9P777/fTq0KHIISAGiOmirJ8tY/b1n1/1fNsm78arPd+P3Nn28nOEQKDm1bOwEArWezGdg8sXWZmXnz5mnPnj167733FBsb6zsfExOj6upqXblypU62pKSkRDExMW1tbbthTgkANEdtjXS9uv7R0Pnamv+er62RvNebeTQQ9AAA8DWWZWnevHnKzc3V4cOH9a1vfavO6wkJCQoJCdGhQ4d854qKinT+/HklJSUFurnNRqYEAAAA6CTS09O1bds2/elPf1JUVJRvnojT6VR4eLicTqfmzJmjhQsXKjo6Wg6HQ/Pnz1dSUlKHXXlLIigBAAAAbjA40b25Nm7cKEkaO3ZsnfM5OTmaPXu2JGndunUKCgrStGnTVFVVpeTkZP32t7/1R2vbDUEJAAAA0ElYzZinGBYWpg0bNmjDhg0BaJF/EJQAAAAAUqt2WPdLnWCiOwAAAACzyJQAAAAAkhRku3EEuk60LFOyceNGDR061Le5S1JSkvbu3StJKisr0/z58xUfH6/w8HD169dPGRkZcrvdt73u3//+dz311FNyOp3q3r27RowYofPnz7fujgAAAAB0Ki3KlMTGxmrVqlW69957ZVmWtmzZoilTpuiDDz6QZVm6ePGi1qxZI5fLpc8//1xz587VxYsXtXPnzkav+Y9//EOjRo3SnDlz9Morr8jhcOjMmTMKCwtr880BAAAA6PhsVnOm8DchOjpaq1ev1pw5c+q9tmPHDs2cOVOVlZUKDm44/nn22WcVEhKi3//+982us6qqSlVVVb6fPR6P4uLi5Ha75XA4Wn4TAHA71yokb2371hFsl0L5DxkAdyaPxyOn09khv6/dbNv//v/dckR2D2zdFZW667HvdsjnEkitnuheW1ur7du3q7KystHdIW8+3MYCEq/Xq3fffVf33XefkpOT1bt3byUmJuqPf/xjk3VnZWXJ6XT6jri4uNbeBgAAAADDWhyUfPTRR4qMjJTdbtfcuXOVm5srl8tVr9zly5e1fPlypaWlNXqt0tJSVVRUaNWqVZo4caIOHDigqVOn6plnnlF+fn6j78vMzJTb7fYdFy5caOltAAAAAHXd3Dwx0AdavvpWfHy8Tp8+LbfbrZ07d2rWrFnKz8+vE5h4PB5NnjxZLpdLS5cubfRaXq9XkjRlyhQtWLBAkjR8+HAdPXpU2dnZGjNmTIPvs9vtstvtLW06gNaoqZJqa9q3jraMIr31L/PWXKs5/yC099AtAAC6sBYHJaGhoRo4cKAkKSEhQSdPntRvfvMbbdq0SZJUXl6uiRMnKioqSrm5uQoJCWn0Wj179lRwcHC9TMvgwYP1/vvvt7RpANqD5e3YX8jbNCvOj9cAAACt1uZ9Srxer2/SucfjUXJysux2u3bt2nXbFbRCQ0M1YsQIFRUV1Tn/ySefqH///m1tGgAAANB87OhuTIuCkszMTE2aNEn9+vVTeXm5tm3bpry8PO3fv18ej0cTJkzQl19+qa1bt8rj8cjj8UiSevXqpW7dukmSBg0apKysLE2dOlWStHjxYk2fPl2jR4/WuHHjtG/fPu3evVt5eXn+vVMAAAAAHVKLgpLS0lKlpKTo0qVLcjqdGjp0qPbv368nnnhCeXl5On78uCT5hnfddO7cOQ0YMECSVFRUVGdDxalTpyo7O1tZWVnKyMhQfHy83nnnHY0aNaqNtwYAAAC0gImJ50x0l+SHfUo6go687jXQ6VVfla5Xm25F18A+JQDuYB35+5pvn5Jje83sU/LopA75XAKpzXNKAAAAgDsCc0qM4SkAAAAAMIqgBAAAAIBRDN8CAAAAJCko6MYR6DpBpgQAAACAWWRKAAAAAEk2m022AC/RG+j6OioyJQCa1vlXDQcAAB0cQQkAAAAAoxi+BQAAAEhf7ege6H1KGL4lkSkBAAAAYBiZEgAAAED6KlMS4MwFmRJJZEoAAAAAGEamBAAAAJAkBQV+Tgk5Akk8BQAAAACGEZQAAAAAMIrhWwAAAIDERHeDyJQAAAAAMIpMCQAAACBJQUE3jkDXCTIlAAAAAMwiUwKghWx1fvnab776kbGxrcazAwB0UQQlAJpmjzDdAgAAAoOJ7sYwfAsAAACAUWRKAAAAAOnGbu6B3tE94DvId0w8BQAAAABGEZQAAAAAMIrhWwAAAIDERHeDyJQAAAAAMIpMCQAAACDpxt5bgc5ckCmRyJQAAAAAMIxMCQAAACAxp8QgMiUAAAAAjCIoAQAAAGAUw7cAAAAAieFbBpEpAQAAAGAUmRIAAABAEksCm0OmBAAAAIBRBCUAAAAAjGL4FgAAACAx0d0gMiUAAAAAjCJTAgAAAEjMczeITAkAAAAAo8iUAAAAAJJIlZhzRwQllmVJkjwej+GWAAAAoCE3v6fd/N4GfN0dEZSUl5dLkuLi4gy3BAAAAE0pLy+X0+k03Qx0MHdEUNK3b19duHBBUVFRsrGsWqfi8XgUFxenCxcuyOFwmG4O2hF93XXQ110D/dx1+KuvLctSeXm5+vbt68fW+RlLAhtzRwQlQUFBio2NNd0MtIHD4eAftS6Cvu466OuugX7uOvzR12RI0Jg7IigBAAAA2swmA5mSwFbXUbEkMAAAAACjCEpglN1u15IlS2S32003Be2Mvu466OuugX7uOuhrBILNYl02AAAAdGEej0dOp1NXPvlAjqiowNZdXq4e9z0ot9vdpednkSkBAAAAYBQT3QEAAACJJYENIlMCAAAAwCgyJQAAAICkr9YENlAnyJTAr1asWKGRI0cqIiJCPXr0aLBMRkaGEhISZLfbNXz48HqvFxUVady4cerTp4/CwsJ0zz336MUXX1RNTU2TdZ8/f16TJ09WRESEevfurcWLF+v69et+uCs0xB99nZeXpylTpugb3/iGunfvruHDh+utt966bd02m63esX379jbeERpisp/5TAeWP/r62rVrmj17toYMGaLg4GA9/fTTzap7wIAB9T7Tq1atav3NoEkm+7qsrEwzZsyQw+FQjx49NGfOHFVUVLT+ZnDHICiBX1VXV+t73/uenn/++SbL/fCHP9T06dMbfC0kJEQpKSk6cOCAioqK9Nprr2nz5s1asmRJo9erra3V5MmTVV1draNHj2rLli1688039fLLL7fpftA4f/T10aNHNXToUL3zzjv68MMPlZqaqpSUFO3Zs+e29efk5OjSpUu+o7n/IKJlTPUzn+nA80df19bWKjw8XBkZGRo/fnyL6l+2bFmdz/T8+fNb9H40n8m+njFjhs6cOaODBw9qz549eu+995SWltai9uMOZQHtICcnx3I6nU2WWbJkiTVs2LBmXW/BggXWqFGjGn39z3/+sxUUFGQVFxf7zm3cuNFyOBxWVVVVs+pA6/i7r7/zne9YqampTZaRZOXm5javgfCLQPczn2lz/NXXs2bNsqZMmdKsOvv372+tW7euWWXhP4Hu67Nnz1qSrJMnT/rO7d2717LZbNYXX3zRjBa3H7fbbUmyrnz6oeUtORfQ48qnH1qSLLfbbfQZmEamBB3ep59+qn379mnMmDGNlikoKNCQIUPUp08f37nk5GR5PB6dOXMmEM2En7jdbkVHR9+2XHp6unr27KlHHnlEb7zxhiy2XOpUbtfPfKa7nlWrVunuu+/Wgw8+qNWrVzNU7w5UUFCgHj166OGHH/adGz9+vIKCgnT8+HGDLUNHwER3dFgjR47UqVOnVFVVpbS0NC1btqzRssXFxXW+vEjy/VxcXNyu7YT//OEPf9DJkye1adOmJsstW7ZMjz/+uCIiInTgwAG98MILqqioUEZGRoBairZoTj/zme5aMjIy9NBDDyk6OlpHjx5VZmamLl26pLVr15puGvyouLhYvXv3rnMuODhY0dHRHedzzZLAxpApwW394he/aHBi8dePjz/+2O/1vv322zp16pS2bdumd999V2vWrPF7HajLVF9L0pEjR5SamqrNmzfr/vvvb7LsSy+9pMcee0wPPvigfv7zn+tnP/uZVq9e3S7tuhN1ln5G25ns65ZYuHChxo4dq6FDh2ru3Ll69dVXtX79elVVVZluWqfRWfoaaAyZEtzWokWLNHv27CbL3HPPPX6vNy4uTpLkcrlUW1urtLQ0LVq0SN26datXNiYmRidOnKhzrqSkxPcamsdUX+fn5+u73/2u1q1bp5SUlBa/PzExUcuXL1dVVZXsdrvf23en6Qz9zGfaP0z1dVslJibq+vXr+uyzzxQfH2+6OZ1CZ+jrmJgYlZaW1jl3/fp1lZWV8bkGQQlur1evXurVq5fRNni9XtXU1Mjr9TYYlCQlJWnFihUqLS31pYYPHjwoh8Mhl8sV6OZ2Wib6Oi8vT08++aR+9atftXoFltOnT+uuu+4iIGmmztDPfKb9oyP8/d0ap0+fVlBQUL2hPmhcZ+jrpKQkXblyRYWFhUpISJAkHT58WF6vV4mJiYZbdxP7lJhCUAK/On/+vMrKynT+/HnV1tbq9OnTkqSBAwcqMjJS0o2J6xUVFSouLtbVq1d9ZVwul0JDQ/XWW28pJCREQ4YMkd1u11//+ldlZmZq+vTpCgkJkSTl5uYqMzPTl4qeMGGCXC6XfvCDH+jXv/61iouL9eKLLyo9PZ0vqu3EH3195MgRPfnkk/rxj3+sadOm+cYUh4aG+iZB39rXu3fvVklJiR599FGFhYXp4MGDWrlypX76058G9gF0Eab6mc904PmjryXp7Nmzqq6uVllZmcrLy31lbu51ceLECaWkpOjQoUP65je/qYKCAh0/flzjxo1TVFSUCgoKtGDBAs2cOVN33XVXIB9Bl2GqrwcPHqyJEyfqueeeU3Z2tmpqajRv3jw9++yz6tu3byAfAToi08t/4c4ya9YsS1K948iRI74yY8aMabDMuXPnLMuyrO3bt1sPPfSQFRkZaXXv3t1yuVzWypUrratXr/qukZOTY936x/ezzz6zJk2aZIWHh1s9e/a0Fi1aZNXU1ATitrskf/R1Y9cYM2aM7xq39vXevXut4cOH+/58DBs2zMrOzrZqa2sDdOddi6l+tiw+04Hmj762rBvL+zZU5qYjR47UeU9hYaGVmJhoOZ1OKywszBo8eLC1cuVK69q1awG6867HVF9blmX95z//sb7//e9bkZGRlsPhsFJTU63y8vIA3HXTbi4J7P7nGcv69/mAHu5/nmFJYMuybJbFOpoAAADoujwej5xOp9z/PCNHVFRg6y4vl/Oe++V2u+VwOAJad0fC8C0AAABAYklgg1gSGAAAAIBRBCUAAAAAjGL4FgAAACCJJYHNIVMCAAAAwCgyJQAAAIAkycBEdzIlksiUAAAAADCMoAQAAACAUQzfAgAAACT2KTGITAkAAAAAo8iUAAAAAJJYEtgcMiUAAAAAjCJTAgAAAEjMKTGITAkAAAAAowhKAAAAABjF8C0AAABAYp67QWRKAAAAABhFpgQAAACQRKrEHDIlAAAAAIwiKAEAAABgFMO3AAAAAIl9SgwiUwIAAADAKDIlAAAAgESmxCAyJQAAAACMIlMCAAAASGJJYHPIlAAAAAAwiqAEAAAAgFEM3wIAAACkr0ZvBXqie2Cr66jIlAAAAAAwikwJAAAAILEksEFkSgAAAAAYRVACAAAAwCiGbwEAAACS2KfEHDIlAAAAQCezYcMGDRgwQGFhYUpMTNSJEydMN6lNCEoAAAAA6b8T3QN9tNDbb7+thQsXasmSJTp16pSGDRum5ORklZaWtsNDCQyCEgAAAKATWbt2rZ577jmlpqbK5XIpOztbEREReuONN0w3rdWYUwIAAABI8pSXG6vT4/HUOW+322W32+uVr66uVmFhoTIzM33ngoKCNH78eBUUFLRvY9sRQQkAAAC6tNDQUMXExCjuvvuN1B8ZGam4uLg655YsWaKlS5fWK3v58mXV1taqT58+dc736dNHH3/8cXs2s10RlAAAAKBLCwsL07lz51RdXW2kfsuyZLtlbklDWZI7GUEJAAAAurywsDCFhYWZbsZt9ezZU926dVNJSUmd8yUlJYqJiTHUqrZjojsAAADQSYSGhiohIUGHDh3ynfN6vTp06JCSkpIMtqxtyJQAAAAAncjChQs1a9YsPfzww3rkkUf02muvqbKyUqmpqaab1moEJQAAAEAnMn36dP373//Wyy+/rOLiYg0fPlz79u2rN/m9M7FZlmWZbgQAAACAros5JQAAAACMIigBAAAAYBRBCQAAAACjCEoAAAAAGEVQAgAAAMAoghIAAAAARhGUAAAAADCKoAQAAACAUQQlAAAAAIwiKAEAAABgFEEJAAAAAKP+D5f3T2oLDpW/AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 8))\n", + "norm = Normalize(vmin=0, vmax=100)\n", + "sm = ScalarMappable(cmap='Reds', norm=norm)\n", + "df.plot(ax=ax, color=sm.to_rgba(df['visitors'].to_numpy()))\n", + "cbar = plt.colorbar(sm, ax=ax, orientation='vertical')\n", + "cbar.set_label('No of mosquitoes moved')\n", + "plt.title('Mosquito Movement')\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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/probability_vs_distance.ipynb b/doc/devlog/probability_vs_distance.ipynb new file mode 100644 index 00000000..0c0b3205 --- /dev/null +++ b/doc/devlog/probability_vs_distance.ipynb @@ -0,0 +1,233 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pygris\n", + "from matplotlib.cm import ScalarMappable\n", + "from matplotlib.colors import Normalize\n", + "\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "from epymorph.initializer import bird_movement_initializer\n", + "from epymorph.engine.standard_sim import StandardSimulation\n", + "from epymorph.simulation import TimeFrame" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from epymorph.util import pairwise_haversine\n", + "\n", + "geo = geo_library['maricopa_cbg_2019']()\n", + "\n", + "distance = pairwise_haversine(geo.values['centroid']['longitude'], geo.values['centroid']['latitude'])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.00000000e+000 2.76876100e-001 6.20841416e-005 ... 1.10759309e-192\n", + " 1.10961975e-111 0.00000000e+000]\n", + " [2.76876100e-001 0.00000000e+000 3.25790283e-001 ... 3.61042290e-173\n", + " 4.91608138e-095 0.00000000e+000]\n", + " [6.20841416e-005 3.25790283e-001 0.00000000e+000 ... 4.11419029e-184\n", + " 5.89276793e-101 4.25313577e-315]\n", + " ...\n", + " [1.10759309e-192 3.61042290e-173 4.11419029e-184 ... 0.00000000e+000\n", + " 1.48188714e-001 5.52671296e-080]\n", + " [1.10961975e-111 4.91608138e-095 5.89276793e-101 ... 1.48188714e-001\n", + " 0.00000000e+000 1.66480720e-078]\n", + " [0.00000000e+000 0.00000000e+000 4.25313577e-315 ... 5.52671296e-080\n", + " 1.66480720e-078 0.00000000e+000]]\n" + ] + } + ], + "source": [ + "\n", + "from epymorph.util import weibull_distribution_prob\n", + "\n", + "\n", + "probabilities = weibull_distribution_prob(distance,3,3)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "flat_distances = distance.flatten()\n", + "flat_probabilities = probabilities.flatten()\n", + "sorted_indices = np.argsort(flat_distances)\n", + "sorted_distances = flat_distances[sorted_indices]\n", + "sorted_probabilities = flat_probabilities[sorted_indices]\n", + "plt.plot(sorted_distances,sorted_probabilities)\n", + "plt.title('Distance vs. Probability for Weibull Distribution')\n", + "plt.xlabel('Distance')\n", + "plt.ylabel('Probability Density')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\sp2665\\Downloads\\Sindhu\\Research EpyMoRPH\\Epymorph\\epymorph\\util.py:183: RuntimeWarning: divide by zero encountered in power\n", + " ((normalize_distance / min_distance)**-alpha) # type: ignore\n" + ] + } + ], + "source": [ + "\n", + "from epymorph.util import powerlaw_distribution_probability, weibull_distribution_prob\n", + "\n", + "\n", + "powerlaw_probabilities = powerlaw_distribution_probability(distance,3.3)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "flat_powerlaw_probabilities = (1/powerlaw_probabilities).flatten()\n", + "sorted_powerlaw_probabilities = flat_powerlaw_probabilities[sorted_indices]\n", + "plt.plot(sorted_distances,sorted_powerlaw_probabilities)\n", + "plt.title('Distance vs. Probability for Powerlaw Distribution')\n", + "plt.xlabel('Distance')\n", + "plt.ylabel('Probability Density')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "from epymorph.util import mosquito_movement_probability, powerlaw_distribution_probability, weibull_distribution_prob\n", + "\n", + "\n", + "mosquito_probabilities = mosquito_movement_probability(distance,22530)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" + ] + }, + { + "data": { + "image/png": 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S6b0DgJYtWxrcl8lkaNGihUXnq/H09MSQIUMM6ldWr16Nxo0bS/VKprp8+TJatWpVaXtERIT0+N3++l4Y67nnnsOePXtw5coVbN26tdrLKfrjVRVTeHi49Lgxn0l927++V76+vvDy8qrV6zCFsa/FGI6Ojhg+fDjWrFmDQ4cO4erVqzWeQ2P/PmJjY3H16lUcOXIEwO3vnOPHj0v/sQFM/45p0qRJpb83Dw8PBAcHV9oGQPrOu379OvLy8rB06dJKx4mPjweASsfSJ2B6+vfVnP8Js3UO1g6ALOuPP/5Afn5+pT/4uzk5OeHQoUPYv38/duzYgW+//Rbr1q3DI488gu+++67Kwj09rVaLRx99FLm5ufj73/+O8PBwuLi4ID09HaNHj66UINW0L1PodDrIZDLs2rWryn26urrW+HyVSoVhw4Zhy5Yt+Pzzz5GVlYX//e9/mDt3rkG7SZMmYciQIdi6dSt2796NGTNmIDExEfv27UNkZGStYm/Xrh2io6Pv2a66ngJzjjCaO3cuZsyYgRdffBHvvfcevL29IZfLMWnSpFr14lnKqFGjsGHDBvzwww9o164dvv76a7z22mtSr5Olmdpro/f4449DpVIhLi4OpaWleOaZZ+47FnN+Jqv7LP21wN+annvuOSxZsgTvvPMO2rdvj9atW9fY3pi/jyFDhsDZ2Rnr169Ht27dsH79esjlcgwfPlxqY+p3THXfbdVt1/ca6f/Onn/+ecTFxVXZ9sEHHzRpn8Tkxu7pCyhjYmJqbCeXy9GvXz/069cPCxYswNy5c/HWW29h//79iI6OrvYL48yZMzh37hxWrlxpUEB8d9GqqZo3b47du3cjNze32t6b5s2bQwiBsLAwqTfCVLGxsVi5ciWSkpKQnJwMIYTB/9zuPtYbb7yBN954A+fPn0eHDh0wf/78aicYs5SQkBDodDqcP39e6mEAbhcj5uXlVbrcceHCBQghDN67c+fOAYA0cmLjxo3o27cv/v3vfxs8Ny8vDz4+PpViOH/+vMF9IQQuXLhQ6cu3Nmr6Uerfvz98fX2xevVqREVFobi4uMreLmOFhIQgNTW10vaUlBTpcXNwcnLCsGHD8N///hcDBgyo8pzefbzU1NRKvVGpqamV4qnpM6lve/78eYNRQdevX6/0P3v9//jz8vIMhssb07tS3ftl6mu5lx49eqBp06Y4cOAAPvjgg2rbmfL34eLigsGDB2PDhg1YsGAB1q1bh549eyIoKEhqY47vGGP4+vrCzc0NWq3WqP/0GKuhz0LPy1J2bN++fXjvvfcQFhZmUEn/V7m5uZW2dejQAQCkIZQuLi4AUGmEgP5/EHf/j0EIgUWLFtU67qeeegpCCMyePbvSY/rjPPnkk1AoFJg9e3al/60IIXDjxo17Hic6Ohre3t5Yt24d1q1bhy5duhhcfiguLkZJSYnBc5o3bw43NzeDoaUZGRlISUlBeXm5Sa/TVAMHDgSASqMeFixYAACV5k65du2awcgfjUaD//znP+jQoQMCAgIA3H7//nr+NmzYUO2Q3f/85z8G9VsbN25ERkYGBgwYULsXdRcXF5dqR9I4ODhgxIgRWL9+PVasWIF27drdV0I1cOBAHD16VLosAdyuF1u6dClCQ0Pv2TtgiilTpmDWrFmYMWNGtW06d+4MPz8/LFmyxOCztWvXLiQnJ0vvrTGfyejoaDg6OuLTTz81eG+rGi3TvHlzAMChQ4ekbfoasHup7jvB2NdiLJlMhsWLF2PWrFk1JrSm/n3Exsbi2rVr+Ne//oXTp09X+o+NOb5jjKFQKPDUU09h06ZN0hQUd7t+/Xqt9uvi4lLlpeWGgj03dmLXrl1ISUlBRUUFsrKysG/fPuzZswchISH4+uuva5y0791338WhQ4cwaNAghISEIDs7G59//jmaNGkiFVw2b94cnp6eWLJkCdzc3ODi4oKoqCiEh4ejefPmmDJlCtLT0+Hu7o5Nmzbd17Xfvn374oUXXsDixYtx/vx59O/fHzqdDt9//z369u2L8ePHo3nz5nj//fcxbdo0XLp0CcOGDYObmxvS0tKwZcsWvPzyy5gyZUqNx3F0dMSTTz6JtWvXoqioCB9//LHB4+fOnUO/fv3wzDPPoHXr1nBwcMCWLVuQlZVlUDg4bdo0rFy5EmlpaRadS6J9+/aIi4vD0qVLkZeXh969e+Po0aNYuXIlhg0bhr59+xq0f+CBBzBmzBgcO3YM/v7+WLZsGbKysrB8+XKpzeDBg/Huu+8iPj4e3bp1w5kzZ7B69epq5wHx9vZGjx49EB8fj6ysLCxcuBAtWrSQhqrfj06dOuGLL77A+++/jxYtWsDPz8/gf/6jRo3C4sWLsX///hr/B2+MqVOn4quvvsKAAQMwYcIEeHt7S+/hpk2bzHq5q3379mjfvn2NbRwdHfHBBx8gPj4evXv3xogRI5CVlYVFixYhNDQUkydPBmDcZ1I/d1RiYiIGDx6MgQMH4uTJk9i1a1elnqPHHnsMTZs2xZgxY/C3v/0NCoUCy5Ytg6+v7z2nO6juOyEsLMyo12KKoUOHVjvkX8/Uv4+BAwfCzc0NU6ZMkRKMv76++/2OMda8efOwf/9+REVFYezYsWjdujVyc3Nx4sQJ7N27t8r/gN5Lp06dsG7dOiQkJOChhx6Cq6srhgwZYpZ4bULdDcwiS9AP2dTflEqlCAgIEI8++qhYtGiRwbBdvb8O/0xKShJDhw4VQUFBQqlUiqCgIDFixAhx7tw5g+dt27ZNtG7dWjg4OBgMZTx79qyIjo4Wrq6uwsfHR4wdO1acPn260nDHuLg44eLics94hLg9Pf9HH30kwsPDhVKpFL6+vmLAgAHi+PHjBu02bdokevToIVxcXISLi4sIDw8X48aNE6mpqUadvz179ggAQiaTiatXrxo8lpOTI8aNGyfCw8OFi4uL8PDwEFFRUWL9+vUG7fRD3O8eNlsVY5cw+Osw4buVl5eL2bNni7CwMOHo6CiCg4PFtGnTKi13oF9+Yffu3eLBBx8UKpVKhIeHVzp2SUmJeOONN0RgYKBwcnIS3bt3F0eOHKk07Fcf+1dffSWmTZsm/Pz8hJOTkxg0aJDBcH/9+ajNUPDMzEwxaNAg4ebmJgBUOSy8TZs2Qi6Xiz/++KPGc/jXY/91KLgQQvz+++/i6aefFp6enkKtVosuXbqI7du3G7QxZdmJex3vbtW9x+vWrRORkZFCpVIJb29vMXLkSIPXauxnUqvVitmzZ0vva58+fcSvv/4qQkJCKg2fP378uIiKihJKpVI0bdpULFiwwKih4EJU/51gzGupjrHn/K9DwYUw/u9Db+TIkQKAiI6OrvY4xnzHVBWLENUvg1LVZyQrK0uMGzdOBAcHC0dHRxEQECD69esnli5dKrWp7tzol6S4+/wXFhaK5557Tnh6egoADW5YuEwIViARkW2IjIyEt7c3kpKSrB2KTQoNDUWfPn0sskApUX3Cmhsisgk///wzTp06VeXM10REd2PNDRHVa7/++iuOHz+O+fPnIzAwsMoRbUREd2PPDRHVaxs3bkR8fDzKy8vx1VdfcUV7Iron1twQERGRXWHPDREREdkVJjdERERkVxpcQbFOp8O1a9fg5ubW4KenJiIishVCCBQUFCAoKOieE202uOTm2rVrlVZpJSIiIttw9epVNGnSpMY2DS65cXNzA3D75Li7u1s5GiIiIjKGRqNBcHCw9DtekwaX3OgvRbm7uzO5ISIisjHGlJSwoJiIiIjsCpMbIiIisitMboiIiMiuNLiaGyIiIrIOrVaL8vLyah9XKpX3HOZtDCY3REREZFFCCGRmZiIvL6/GdnK5HGFhYVAqlfd1PCY3REREZFH6xMbPzw/Ozs5VjnjST7KbkZGBpk2b3tdEu0xuiIiIyGK0Wq2U2DRq1KjGtr6+vrh27RoqKirg6OhY62OyoJiIiIgsRl9j4+zsfM+2+stRWq32vo7J5IaIiIgszpjLTOZa85HJDREREdkVqyY3hw4dwpAhQxAUFASZTIatW7fe8zkHDhxAx44doVKp0KJFC6xYscLicRIREZHtsGpyU1RUhPbt2+Ozzz4zqn1aWhoGDRqEvn374tSpU5g0aRJeeukl7N6928KREhERka2w6mipAQMGYMCAAUa3X7JkCcLCwjB//nwAQEREBA4fPoxPPvkEMTExlgrTaDcKS5FbVIaW/vdesZSIiKghEUKYpY0xbKrm5siRI4iOjjbYFhMTgyNHjlT7nNLSUmg0GoObJSQlZ6HT+3sxad0pi+yfiIjIFumHdBcXF9+zbVlZGQBAoVDc1zFtKrnJzMyEv7+/wTZ/f39oNBrcunWryuckJibCw8NDugUHB1sktpZ+t3trzmcVokKrs8gxiIiIbI1CoYCnpyeys7Nx48YN3Lp1CyUlJZVuxcXFuH79OpydneHgcH8Xlux+Er9p06YhISFBuq/RaCyS4DTxcoKLUoGiMi0u5hThAV6aIiIiAgAEBAQAALKzs2tsJ5fL73t2YsDGkpuAgABkZWUZbMvKyoK7uzucnJyqfI5KpYJKpbJ4bHK5DK0C3HDiSh6SMzRMboiIiO6QyWQIDAyEn59fnSycaVOXpbp27YqkpCSDbXv27EHXrl2tFJGhiEB3AEBKZoGVIyEiIqp/FAoF1Gp1tTdzJDaAlZObwsJCnDp1CqdOnQJwe6j3qVOncOXKFQC3LymNGjVKav/KK6/g4sWLePPNN5GSkoLPP/8c69evx+TJk60RfiXh+uQmwzJFy0RERHRvVk1ufv75Z0RGRiIyMhIAkJCQgMjISMycORMAkJGRISU6ABAWFoYdO3Zgz549aN++PebPn49//etf9WIYOABEBNy+FMWeGyIiIuuRCXMNKrcRGo0GHh4eyM/Ph7u7u1n3XVBSjnbvfAcAODXzUXg6K826fyIioobKlN9vm6q5qe/c1I4I9r5d2Jycwd4bIiIia2ByY2bhAfqiYtbdEBERWQOTGzOT6m7Yc0NERGQVTG7MTD9iKpk9N0RERFbB5MbM9HPdpGYWQKtrULXaRERE9QKTGzNr6u0MJ0cFSit0uHSjyNrhEBERNThMbsxMIZfhAdbdEBERWQ2TGwvQFxUnc6ZiIiKiOsfkxgLCpZmKmdwQERHVNSY3FqAvKuZEfkRERHWPyY0F6CfyS8+7BU1J9Uu7ExERkfkxubEAD2dHBHmoAbComIiIqK4xubEQ/WR+rLshIiKqW0xuLCQiUD9iij03REREdYnJjYVwAU0iIiLrYHJjIfqem9TMAui4DAMREVGdYXJjIaGNXKB0kKO4TIsrucXWDoeIiKjBYHJjIQ4KOVr5czI/IiKiusbkxoLCA1hUTEREVNeY3FgQh4MTERHVPSY3FhTBnhsiIqI6x+TGgvQ9N1dyi1FYWmHlaIiIiBoGJjcW5O2ihL+7CsDtIeFERERkeUxuLIyT+REREdUtJjcWFi4tw8DkhoiIqC4wubGwCH3PDYuKiYiI6gSTGwuLkIaDF0AILsNARERkaUxuLKyZrwscFTIUllbgj5u3rB0OERGR3WNyY2GOCjla+OmXYeClKSIiIktjclMH/pzMj0XFRERElsbkpg5EcBkGIiKiOsPkpg7oh4NzxBQREZHlMbmpA/qJ/NJuFOFWmdbK0RAREdk3Jjd1wNdNBR9XJYQAUrPYe0NERGRJTG7qiFR3w6JiIiIii2JyU0fCAzgcnIiIqC4wuakj+robDgcnIiKyLCY3deTuBTS5DAMREZHlMLmpIy38XOEgl0FTUoGM/BJrh0NERGS3mNzUEZWDAs19XQFwMj8iIiJLYnJTh/68NMWiYiIiIkthclOHWFRMRERkeUxu6pC0DAOHgxMREVkMk5s61PrORH4XrxeipJzLMBAREVkCk5s65OemgpezI3QCuJBdaO1wiIiI7BKTmzokk8lYd0NERGRhTG7qGEdMERERWRaTmzomLaDJuW6IiIgsgslNHYu467IUl2EgIiIyPyY3daylvyvkMuBmcTmuF5RaOxwiIiK7w+SmjqkdFQjzcQEAnGVRMRERkdkxubGCP+tuWFRMRERkbkxurEBKbthzQ0REZHZMbqwgPIDLMBAREVkKkxsrCL/Tc3MhuxClFVyGgYiIyJyY3FhBkIca7moHVOgEfs8usnY4REREdsXqyc1nn32G0NBQqNVqREVF4ejRozW2X7hwIVq1agUnJycEBwdj8uTJKCkpqaNozUMmk0m9N5zMj4iIyLysmtysW7cOCQkJmDVrFk6cOIH27dsjJiYG2dnZVbZfs2YNpk6dilmzZiE5ORn//ve/sW7dOkyfPr2OI79/Eay7ISIisgirJjcLFizA2LFjER8fj9atW2PJkiVwdnbGsmXLqmz/ww8/oHv37njuuecQGhqKxx57DCNGjLhnb099pO+54QKaRERE5mW15KasrAzHjx9HdHT0n8HI5YiOjsaRI0eqfE63bt1w/PhxKZm5ePEidu7ciYEDB1Z7nNLSUmg0GoNbfaAfMcUFNImIiMzLwVoHzsnJgVarhb+/v8F2f39/pKSkVPmc5557Djk5OejRoweEEKioqMArr7xS42WpxMREzJ4926yxm0OrADfIZEBOYSmuF5TC101l7ZCIiIjsgtULik1x4MABzJ07F59//jlOnDiBzZs3Y8eOHXjvvfeqfc60adOQn58v3a5evVqHEVfPWemA0Ea3l2FIZd0NERGR2Vit58bHxwcKhQJZWVkG27OyshAQEFDlc2bMmIEXXngBL730EgCgXbt2KCoqwssvv4y33noLcnnlXE2lUkGlqp+9IuEBbkjLKUJKpgY9WvpYOxwiIiK7YLWeG6VSiU6dOiEpKUnaptPpkJSUhK5du1b5nOLi4koJjEKhAAAIISwXrIWEB9wuKuYCmkREROZjtZ4bAEhISEBcXBw6d+6MLl26YOHChSgqKkJ8fDwAYNSoUWjcuDESExMBAEOGDMGCBQsQGRmJqKgoXLhwATNmzMCQIUOkJMeWRATeGQ7OomIiIiKzsWpyExsbi+vXr2PmzJnIzMxEhw4d8O2330pFxleuXDHoqXn77bchk8nw9ttvIz09Hb6+vhgyZAjmzJljrZdwXyLuWoahXKuDo8KmSqCIiIjqJZmwxes590Gj0cDDwwP5+flwd3e3aiw6ncCDs79DYWkFvpvcCw/4u1k1HiIiovrKlN9vdhVYkVwuQytpvhvW3RAREZkDkxsr09fdcDI/IiIi82ByY2X6EVNcQJOIiMg8mNxYGUdMERERmReTGyvTFxFnakpws6jMytEQERHZPiY3VuamdkSwtxMAIJmXpoiIiO4bk5t6IEJfd8NLU0RERPeNyU09EB7IomIiIiJzYXJTD0TcmesmhauDExER3TcmN/WAvucmNbMAFVqdlaMhIiKybUxu6oEQb2c4OSpQWqHDpRvF1g6HiIjIpjG5qQfuXoaBdTdERET3h8lNPcHJ/IiIiMyDyU09oV+GgQtoEhER3R8mN/VEhDQcnD03RERE94PJTT2hr7lJz7uF/FvlVo6GiIjIdjG5qSc8nBzR2PP2Mgyp7L0hIiKqNSY39Uj4nd4b1t0QERHVHpObeiQ8kMPBiYiI7heTm3pEX1SczOHgREREtcbkph7RDwdPzSyATiesHA0REZFtYnJTj4Q2cobKQY5b5VpcyeUyDERERLXB5KYecVDI8YA/i4qJiIjuB5Obeka/DEMyh4MTERHVCpObekZfd5PCnhsiIqJaYXJTz/w5HJw9N0RERLXB5KaeibjTc3MltxgFJVyGgYiIyFRMbuoZLxclAtzVAIBzWey9ISIiMhWTm3pIf2mKk/kRERGZjslNPSQVFXMZBiIiIpOZnNwsX74cxcWcYM6SIthzQ0REVGsmJzdTp05FQEAAxowZgx9++MESMTV4+jWmuAwDERGR6UxObtLT07Fy5Urk5OSgT58+CA8PxwcffIDMzExLxNcghfm4QKmQo7C0Aul5t6wdDhERkU0xOblxcHDAE088gW3btuHq1asYO3YsVq9ejaZNm+Lxxx/Htm3boNPpLBFrg+GokKOFnysALsNARERkqvsqKPb390ePHj3QtWtXyOVynDlzBnFxcWjevDkOHDhgphAbJk7mR0REVDu1Sm6ysrLw8ccfo02bNujTpw80Gg22b9+OtLQ0pKen45lnnkFcXJy5Y21Q9JP5seeGiIjINCYnN0OGDEFwcDBWrFiBsWPHIj09HV999RWio6MBAC4uLnjjjTdw9epVswfbkOiLitlzQ0REZBoHU5/g5+eHgwcPomvXrtW28fX1RVpa2n0F1tDpL0tdulGE4rIKOCtNfquIiIgaJJN7bnr37o2OHTtW2l5WVob//Oc/AACZTIaQkJD7j64B83FVwcdVBSGAc1mF1g6HiIjIZpic3MTHxyM/P7/S9oKCAsTHx5slKLrtz8n8WHdDRERkLJOTGyEEZDJZpe1//PEHPDw8zBIU3SbV3TC5ISIiMprRhRyRkZGQyWSQyWTo168fHBz+fKpWq0VaWhr69+9vkSAbqvCAOz03LComIiIymtHJzbBhwwAAp06dQkxMDFxdXaXHlEolQkND8dRTT5k9wIZMWkAzQ1NtjxkREREZMjq5mTVrFgAgNDQUsbGxUKvVFguKbmvu5wIHuQyakgpcyy9BY08na4dERERU75lccxMXF8fEpo6oHBTSMgysuyEiIjKOUcmNt7c3cnJyAABeXl7w9vau9kbmpa+74WR+RERExjHqstQnn3wCNzc36d+s/ag74YHuwKlrHA5ORERkJKOSm7vXiRo9erSlYqEqSCOmmNwQEREZxeSamxMnTuDMmTPS/W3btmHYsGGYPn06ysrKzBocAa3vzHWTllOEknKtlaMhIiKq/0xObv7v//4P586dAwBcvHgRsbGxcHZ2xoYNG/Dmm2+aPcCGztdNBW8XJXQCOM9lGIiIiO7J5OTm3Llz6NChAwBgw4YN6N27N9asWYMVK1Zg06ZN5o6vwZPJZHdN5sdLU0RERPdSq+UXdDodAGDv3r0YOHAgACA4OFgaUUXm9edkfhwxRUREdC8mJzedO3fG+++/j1WrVuHgwYMYNGgQACAtLQ3+/v5mD5CAcC6gSUREZDSTk5uFCxfixIkTGD9+PN566y20aNECALBx40Z069bN7AHSn0XFKZm3l2EgIiKi6hm9/ILegw8+aDBaSu+jjz6CQqEwS1BkqIWfK+Qy4GZxObILSuHvzhmiiYiIqmNycqNXVlaG7Oxsqf5Gr2nTpvcdFBlSOyrQzNcVF7ILkZyhYXJDRERUg1qNlurZsyecnJwQEhKCsLAwhIWFITQ0FGFhYSYH8NlnnyE0NBRqtRpRUVE4evRoje3z8vIwbtw4BAYGQqVS4YEHHsDOnTtNPq6t+XMyPxYVExER1cTknpv4+Hg4ODhg+/btCAwMvK+lGNatW4eEhAQsWbIEUVFRWLhwIWJiYpCamgo/P79K7cvKyvDoo4/Cz88PGzduROPGjXH58mV4enrWOgZbERHoju2/ZCCFw8GJiIhqZHJyc+rUKRw/fhzh4eH3ffAFCxZg7NixiI+PBwAsWbIEO3bswLJlyzB16tRK7ZctW4bc3Fz88MMPcHR0BACEhobedxy2IOLOiCkOByciIqqZyZelWrdubZb5bMrKynD8+HFER0f/GYxcjujoaBw5cqTK53z99dfo2rUrxo0bB39/f7Rt2xZz586FVlv9sgSlpaXQaDQGN1ukn+vm9+uFKK3gMgxERETVMTm5+eCDD/Dmm2/iwIEDuHHjRq0Th5ycHGi12kpz4/j7+yMzM7PK51y8eBEbN26EVqvFzp07MWPGDMyfPx/vv/9+tcdJTEyEh4eHdAsODjY6xvok0EMNd7UDKnQCF7K5DAMREVF1TL4spe9p6devn8F2IQRkMlmNvSj3S6fTwc/PD0uXLoVCoUCnTp2Qnp6Ojz76CLNmzaryOdOmTUNCQoJ0X6PR2GSCI5PJEBHojp/ScpGSUYA2QR7WDomIiKheMjm52b9/v1kO7OPjA4VCgaysLIPtWVlZCAgIqPI5gYGBcHR0NJhPJyIiApmZmSgrK4NSqaz0HJVKBZVKZZaYrU1KblhUTEREVC2Tk5vevXub5cBKpRKdOnVCUlIShg0bBuB2z0xSUhLGjx9f5XO6d++ONWvWQKfTQS6/fUXt3LlzCAwMrDKxsTf64eApmSwqJiIiqo7JNTcA8P333+P5559Ht27dkJ6eDgBYtWoVDh8+bNJ+EhIS8OWXX2LlypVITk7Gq6++iqKiImn01KhRozBt2jSp/auvvorc3FxMnDgR586dw44dOzB37lyMGzeuNi/D5oTfWYaBc90QERFVz+TkZtOmTYiJiYGTkxNOnDiB0tJSAEB+fj7mzp1r0r5iY2Px8ccfY+bMmejQoQNOnTqFb7/9VioyvnLlCjIyMqT2wcHB2L17N44dO4YHH3wQEyZMwMSJE6scNm6PHvB3hUwG5BSW4npBqbXDISIiqpdkwsSVGCMjIzF58mSMGjUKbm5uOH36NJo1a4aTJ09iwIAB1Y50qi80Gg08PDyQn58Pd3d3a4djskc+PoCLOUVYNaYLerb0tXY4REREdcKU32+Te25SU1PRq1evSts9PDyQl5dn6u7IROGczI+IiKhGJic3AQEBuHDhQqXthw8fRrNmzcwSFFVPP5lfMkdMERERVcnk5Gbs2LGYOHEifvrpJ8hkMly7dg2rV6/GlClT8Oqrr1oiRroLF9AkIiKqmclDwadOnQqdTod+/fqhuLgYvXr1gkqlwpQpU/D6669bIka6S8SdEVMXsgtQrtXBUVGrAW9ERER2y+SCYr2ysjJcuHABhYWFaN26NVxdXc0dm0XYekGxEALt3vkOhaUV2D2pF1rd6ckhIiKyZxYtKAZu/8BqNBr4+/ujS5cuNpPY2AOZTHbXZH6suyEiIvork5KbzMxMjBo1Cl5eXvD394efnx+8vLzw4osvVlpGgSxHP2LqbAaTGyIior8yuuZGo9GgW7duKCwsRHx8PMLDwyGEwNmzZ/HVV1/h8OHDOHHiBHtx6oC+7obDwYmIiCozOrlZtGgRFAoFfvvtN/j6Gk4e9/bbb6N79+5YvHgxpk+fbvYgyZB+ODgvSxEREVVm9GWpHTt2YPr06ZUSGwDw8/PDtGnT8M0335g1OKqavog4S1OK3KIyK0dDRERUvxid3Jw7dw7dunWr9vFu3bohNTXVLEFRzVxVDmjq7QyAvTdERER/ZXRyo9Fo4OnpWe3jnp6e0Gj4Q1tXIgI5mR8REVFVjE5uhBCQy6tvLpPJUMspc6gWpLobjpgiIiIyYHRBsRACDzzwAGQyWbWPU93R99ykZLLnhoiI6G5GJzfLly+3ZBxkIn3PzbmsAlRodXDgMgxEREQATEhu4uLiLBkHmaiptzOclQoUl2lx6UYRWvhxGQYiIiKglssvkPXJ5TJpSDiLiomIiP7E5MaGcTI/IiKiypjc2DCpqJg9N0RERBImNzZM33OTzOHgREREEpOTm/3791siDqoF/erg1/JLkF9cbuVoiIiI6geTk5v+/fujefPmeP/993H16lVLxERGclc7orGnEwDW3RAREemZnNykp6dj/Pjx2LhxI5o1a4aYmBisX78eZWVcwNEaOJkfERGRIZOTGx8fH0yePBmnTp3CTz/9hAceeACvvfYagoKCMGHCBJw+fdoScVI1WHdDRERk6L4Kijt27Ihp06Zh/PjxKCwsxLJly9CpUyf07NkTv/32m7lipBpEBN5JbthzQ0REBKCWyU15eTk2btyIgQMHIiQkBLt378Y//vEPZGVl4cKFCwgJCcHw4cPNHStVQV9UfC6zAFod1/ciIiIyevkFvddffx1fffUVhBB44YUX8OGHH6Jt27bS4y4uLvj4448RFBRk1kCpaqGNXKBykONWuRZXcosR5uNi7ZCIiIisyuTk5uzZs/j000/x5JNPQqVSVdnGx8eHQ8briOLOMgy//JGPlAwNkxsiImrwTL4sNWvWLAwfPrxSYlNRUYFDhw4BABwcHNC7d2/zREj3FMGiYiIiIonJyU3fvn2Rm5tbaXt+fj769u1rlqDINPq6GxYVExER1SK5EUJAJpNV2n7jxg24uPCSiDVwAU0iIqI/GV1z8+STTwIAZDIZRo8ebXBZSqvV4pdffkG3bt3MHyHdU3jA7Z6bq7m3UFBSDje1o5UjIiIish6jkxsPDw8At3tu3Nzc4OTkJD2mVCrx8MMPY+zYseaPkO7Jy0WJAHc1MjUlSM0sQOdQb2uHREREZDVGJzfLly8HAISGhmLKlCm8BFXPRAS6IVNTgmQmN0RE1MDVarQUE5v6J/zOTMUpHDFFREQNnFE9Nx07dkRSUhK8vLwQGRlZZUGx3okTJ8wWHBlPX3fDBTSJiKihMyq5GTp0qFRAPGzYMEvGQ7UUcVfPjU4nIJdXn4ASERHZM5kQokEtSKTRaODh4YH8/Hy4u7tbOxyzqdDq0HrmbpRpdTj0t75o2sjZ2iERERGZjSm/3/e1KjjVHw4KOVr6uwIAkjnfDRERNWBGXZby8vKqsc7mblXNXkx1IzzAHb9d0yAlowAxbQKsHQ4REZFVGJXcLFy40MJhkDlEBOqLitlzQ0REDZdRyU1cXJyl4yAz0BcVcwFNIiJqyIxKbjQajVS8o9HU/MNpT0W6tkY/HPxybjGKSivgojJ6jkYiIiK7YXTNTUZGBvz8/ODp6Vll/Y1+QU2tVmv2IMk4jVxV8HVT4XpBKc5lFSCyqZe1QyIiIqpzRiU3+/btg7f37Sn99+/fb9GA6P6EB7jhekEpUjKZ3BARUcNkVHLTu3fvKv9N9U9EoDu+P5/DuhsiImqwalWUcfPmTfz73/9GcnIyAKB169aIj4+XenfIeqQRUxlchoGIiBomkyfxO3ToEEJDQ7F48WLcvHkTN2/exOLFixEWFoZDhw5ZIkYyQXjAnRFTmRo0sMmniYiIANSi52bcuHGIjY3FF198AYVCAQDQarV47bXXMG7cOJw5c8bsQZLxmvu6wkEuQ0FJBa7ll6Cxp5O1QyIiIqpTJvfcXLhwAW+88YaU2ACAQqFAQkICLly4YNbgyHRKBzla+N1ZhuEa626IiKjhMTm56dixo1Rrc7fk5GS0b9/eLEHR/ZFWCOdMxURE1AAZdVnql19+kf49YcIETJw4ERcuXMDDDz8MAPjxxx/x2WefYd68eZaJkkyin8wvOZNFxURE1PDIhBFVp3K5HDKZ7J4FqrYwiZ8pS6bbqoPnriNu2VE093VB0ht9rB0OERHRfTPl99uonpu0tDSzBEZ1I+JOz01aThFKyrVQOyru8QwiIiL7YVRyExISYuk4yIx83VRo5KLEjaIynMsqwINNPK0dEhERUZ2p9cqKZ8+exZUrV1BWVmaw/fHHH7/voOj+yGQyhAe64X8XbiAlg8kNERE1LCaPlrp48SLat2+Ptm3bYtCgQRg2bBiGDRuGJ554Ak888UStgvjss88QGhoKtVqNqKgoHD161KjnrV27FjKZDMOGDavVce3Z3ZP5ERERNSQmJzcTJ05EWFgYsrOz4ezsjN9++w2HDh1C586dceDAAZMDWLduHRISEjBr1iycOHEC7du3R0xMDLKzs2t83qVLlzBlyhT07NnT5GM2BPoRU1yGgYiIGhqTk5sjR47g3XffhY+PD+RyOeRyOXr06IHExERMmDDB5AAWLFiAsWPHIj4+Hq1bt8aSJUvg7OyMZcuWVfscrVaLkSNHYvbs2WjWrJnJx2wI9HPdcBkGIiJqaExObrRaLdzcbvcK+Pj44Nq1awBuFx2npqaatK+ysjIcP34c0dHRfwYklyM6OhpHjhyp9nnvvvsu/Pz8MGbMGFPDbzBa+LlCIZchr7gcWZpSa4dDRERUZ0wuKG7bti1Onz6NsLAwREVF4cMPP4RSqcTSpUtN7kXJycmBVquFv7+/wXZ/f3+kpKRU+ZzDhw/j3//+N06dOmXUMUpLS1Fa+uePu0bTMGpQ1I4KNPNxwfnsQiRnahDgobZ2SERERHXC5J6bt99+GzqdDsDtHpS0tDT07NkTO3fuxOLFi80e4N0KCgrwwgsv4Msvv4SPj49Rz0lMTISHh4d0Cw4OtmiM9Um4fhkG1t0QEVEDYnLPTUxMjPTvFi1aICUlBbm5ufDy8oJMJjNpXz4+PlAoFMjKyjLYnpWVhYCAgErtf//9d1y6dAlDhgyRtukTLQcHB6SmpqJ58+YGz5k2bRoSEhKk+xqNpsEkOOEBbvjmNJCc0TB6q4iIiID7mOcGAK5evQoAtU4WlEolOnXqhKSkJGk4t06nQ1JSEsaPH1+pfXh4OM6cOWOw7e2330ZBQQEWLVpUZRwqlQoqlapW8dm61lxAk4iIGiCTL0tVVFRgxowZ8PDwQGhoKEJDQ+Hh4YG3334b5eXlJgeQkJCAL7/8EitXrkRycjJeffVVFBUVIT4+HgAwatQoTJs2DQCgVqvRtm1bg5unpyfc3NzQtm1bKJVKk49vz8IDbxd+/369CKUV9XvNLyIiInMxuefm9ddfx+bNm/Hhhx+ia9euAG4PD3/nnXdw48YNfPHFFybtLzY2FtevX8fMmTORmZmJDh064Ntvv5WKjK9cuQK53OQcjAAEuKvh4eSI/FvluJBdiDZBHtYOiYiIyOKMWhX8bh4eHli7di0GDBhgsH3nzp0YMWIE8vPzzRqguTWEVcHvFvvPI/gpLRcfD2+Ppzs1sXY4REREtWLK77fJXSIqlQqhoaGVtoeFhfGyUD0UIY2YYt0NERE1DCYnN+PHj8d7771nMHdMaWkp5syZU2URMFlXxJ26m5RMDgcnIqKGwaiamyeffNLg/t69e9GkSRO0b98eAHD69GmUlZWhX79+5o+Q7ot+AU2OmCIioobCqOTGw8OwEPWpp54yuN9Q5o2xRQ/4u0EuA3IKy3C9oBS+bg1zWDwRETUcRiU3y5cvt3QcZCFOSgVCfVxw8XoRkjM08HXztXZIREREFlXrMdbXr1/H4cOHcfjwYVy/ft2cMZGZRfDSFBERNSAmJzdFRUV48cUXERgYiF69eqFXr14ICgrCmDFjUFxcbIkY6T6FB9wpKuYaU0RE1ACYnNwkJCTg4MGD+Oabb5CXl4e8vDxs27YNBw8exBtvvGGJGOk+6RfQTOaIKSIiagBMnqF406ZN2LhxI/r06SNtGzhwIJycnPDMM8+YPEMxWZ5+OPiF7AKUVeigdOCMz0REZL9M/pUrLi6Wlka4m5+fHy9L1VONPZ3gpnJAuVbgYk6htcMhIiKyKJOTm65du2LWrFkoKSmRtt26dQuzZ8+W1pqi+kUmk0mLaLLuhoiI7J3Jl6UWLlyI/v37V5rET61WY/fu3WYPkMwjPMAdxy7dRHKmBsPQ2NrhEBERWYzJyU27du1w/vx5rF69GikpKQCAESNGYOTIkXBycjJ7gGQe+p6bZPbcEBGRnTMpuSkvL0d4eDi2b9+OsWPHWiomsgAuoElERA2FSTU3jo6OBrU2ZDta+d/uuckuKMWNwtJ7tCYiIrJdJhcUjxs3Dh988AEqKiosEQ9ZiIvKASGNnAEAqZzvhoiI7JjJNTfHjh1DUlISvvvuO7Rr1w4uLi4Gj2/evNlswZF5hQe44fKNYiRnFqBbCx9rh0NERGQRJic3np6elVYFJ9sQEeiO3b9lIZl1N0REZMdMTm64QrjtCucCmkRE1AAYXXOj0+nwwQcfoHv37njooYcwdepU3Lp1y5KxkZnpl2E4l1WICq3OytEQERFZhtHJzZw5czB9+nS4urqicePGWLRoEcaNG2fJ2MjMgr2c4aJUoKxCh0s3iqwdDhERkUUYndz85z//weeff47du3dj69at+Oabb7B69WrodOwBsBVyuQytAm733pzlZH5ERGSnjE5urly5goEDB0r3o6OjIZPJcO3aNYsERpYRzsn8iIjIzhmd3FRUVECtVhtsc3R0RHl5udmDIsuJuNNzk8K5boiIyE4ZPVpKCIHRo0dDpVJJ20pKSvDKK68YzHXDeW7qN/bcEBGRvTM6uYmLi6u07fnnnzdrMGR5+pqba/klyCsug6ez0soRERERmZfRyQ3nt7EP7mpHNPFywh83byElswAPN2tk7ZCIiIjMyuS1pcj2SZP58dIUERHZISY3DZB+Mj8WFRMRkT1ictMA6XtuuMYUERHZIyY3DZC+5yY1qwBanbByNERERObF5KYBCmnkArWjHCXlOlzmMgxERGRnmNw0QAq5DK38WXdDRET2iclNA8URU0REZK+Y3DRQ+robLqBJRET2hslNAyUtw5DJnhsiIrIvTG4aqPA7yzD8cfMWNCVc/JSIiOwHk5sGytNZiUCP26u8n2NRMRER2REmNw1YRCAn8yMiIvvD5KYB01+aSmbPDRER2REmNw2YVFTMnhsiIrIjTG4asIg7PTepmQXQcRkGIiKyE0xuGrAwHxcoHeQoKtPi6s1ia4dDRERkFkxuGjAHhRwP+LsCAJI5mR8REdkJJjcNnLQMAyfzIyIiO8HkpoHTj5hKYc8NERHZCSY3DVwEl2EgIiI7w+SmgdP33FzOLUZRaYWVoyEiIrp/TG4auEauKvi5qSAEkJrFS1NERGT7mNzQXZP5MbkhIiLbx+SGpMn8WHdDRET2gMkNcQFNIiKyK0xuCOGBfw4HF4LLMBARkW1jckNo5uMKR4UMBaUVSM+7Ze1wiIiI7guTG4LSQY7mvreXYWBRMRER2TomNwQAaM26GyIishP1Irn57LPPEBoaCrVajaioKBw9erTatl9++SV69uwJLy8veHl5ITo6usb2ZByp7iaTPTdERGTbrJ7crFu3DgkJCZg1axZOnDiB9u3bIyYmBtnZ2VW2P3DgAEaMGIH9+/fjyJEjCA4OxmOPPYb09PQ6jty+6BfQTOZwcCIisnEyYeXhMVFRUXjooYfwj3/8AwCg0+kQHByM119/HVOnTr3n87VaLby8vPCPf/wDo0aNumd7jUYDDw8P5Ofnw93d/b7jtxfZBSXoMicJchnw2+z+cFIqrB0SERGRxJTfb6v23JSVleH48eOIjo6WtsnlckRHR+PIkSNG7aO4uBjl5eXw9va2VJgNgq+rCo1clNAJ4Hw2L00REZHtsmpyk5OTA61WC39/f4Pt/v7+yMzMNGoff//73xEUFGSQIN2ttLQUGo3G4EaVyWQyTuZHRER2weo1N/dj3rx5WLt2LbZs2QK1Wl1lm8TERHh4eEi34ODgOo7SduhXCE/mcHAiIrJhVk1ufHx8oFAokJWVZbA9KysLAQEBNT73448/xrx58/Ddd9/hwQcfrLbdtGnTkJ+fL92uXr1qltjtkbSAJouKiYjIhlk1uVEqlejUqROSkpKkbTqdDklJSejatWu1z/vwww/x3nvv4dtvv0Xnzp1rPIZKpYK7u7vBjaoWHvDncHAuw0BERLbKwdoBJCQkIC4uDp07d0aXLl2wcOFCFBUVIT4+HgAwatQoNG7cGImJiQCADz74ADNnzsSaNWsQGhoq1ea4urrC1dXVaq/DHrT0d4VCLkNecTkyNSUI9HCydkhEREQms3pyExsbi+vXr2PmzJnIzMxEhw4d8O2330pFxleuXIFc/mcH0xdffIGysjI8/fTTBvuZNWsW3nnnnboM3e6oHBRo7uuCc1mFSMkoYHJDREQ2yerz3NQ1znNTswlfncTXp6/hzf6t8FqfFtYOh4iICIANzXND9Y+0DANHTBERkY1ickMGONcNERHZOiY3ZCDizhpTF3OKUFKutXI0REREpmNyQwb83VXwdHaEVidwIbvQ2uEQERGZjMkNGZDJZAbz3RAREdkaJjdUCetuiIjIljG5oUr0dTdchoGIiGwRkxuqRD8cPDmDyzAQEZHtYXJDlbT0c4NcBuQWleF6Yam1wyEiIjIJkxuqxEmpQKiPCwBO5kdERLaHyQ1ViUXFRERkq5jcUJUiOByciIhsFJMbqlJ4AHtuiIjINjG5oSrpR0z9fr0QZRU6K0dDRERkPCY3VKXGnk5wUzugXCvw+3Uuw0BERLaDyQ1VSSaTcTI/IiKySUxuqFr6S1McDk5ERLaEyQ1VSyoq5ogpIiKyIUxuqFoR0jIMvCxFRES2g8kNVesBfzfIZMD1glLkcBkGIiKyEUxuqFouKgeEeDsDAFJ5aYqIiGwEkxuqESfzIyIiW8PkhmokjZhizw0REdkIJjdUIy6gSUREtobJDdVIP5Hf+axCVGi5DAMREdV/TG6oRk28nOCiVKBMq0NaTpG1wyEiIronJjdUI7lchlYBd+a7Yd0NERHZACY3dE+suyEiIlvC5IbuKfxOcpPC5IaIiGwAkxu6p4gADgcnIiLbweSG7klfc5ORX4K84jIrR0NERFQzJjd0T25qRwR7OwEAkjPYe0NERPUbkxsyin4ZhpRM1t0QEVH9xuSGjCLV3bDnhoiI6jkmN2QUacQUe26IiKieY3JDRtHPdZOaVQCtTlg5GiIiouoxuSGjNPV2hpOjAiXlOly6wWUYiIio/mJyQ0ZRyGV4gHU3RERkA5jckNH+nMyPdTdERFR/Mbkho4XrF9Bkzw0REdVjTG7IaFxAk4iIbAGTGzKafiK/9Lxb0JSUWzkaIiKiqjG5IaN5ODsiyEMNAEjlIppERFRPMbkhk0iT+fHSFBER1VNMbsgkEYG3i4rPsqiYiIjqKSY3ZBIuoElERPUdkxsyib7nJjWzADouw0BERPUQkxsySWgjFygd5Cgu0+LqzWJrh0NERFQJkxsyiYNCjlb++sn8eGmKiIjqHyY3ZDLOVExERPUZkxsymTQcnEXFRERUDzG5IZP9uYAme26IiKj+YXJDJtP33Fy+UYyi0gorR0NERGSIyQ2ZzNtFCX93FQD23hARUf3D5IZqhZP5ERFRfcXkhmol/M5kfikcMUVERPUMkxuqlQj23BARUT1VL5Kbzz77DKGhoVCr1YiKisLRo0drbL9hwwaEh4dDrVajXbt22LlzZx1FSnoR0urgBRCCyzAQEVH9YfXkZt26dUhISMCsWbNw4sQJtG/fHjExMcjOzq6y/Q8//IARI0ZgzJgxOHnyJIYNG4Zhw4bh119/rePIG7Zmvi5wVMhQUFqBP27esnY4REREEpmw8n+7o6Ki8NBDD+Ef//gHAECn0yE4OBivv/46pk6dWql9bGwsioqKsH37dmnbww8/jA4dOmDJkiX3PJ5Go4GHhwfy8/Ph7u5uvhfSAA1Y9D2SMzT48KkH0a1FI2uHQ0RE9YTSQQ4/N7VZ92nK77eDWY9sorKyMhw/fhzTpk2TtsnlckRHR+PIkSNVPufIkSNISEgw2BYTE4OtW7dW2b60tBSlpaXSfY2GNSLmEhHghuQMDd7c9Iu1QyEionqkY1NPbH6tu9WOb9XkJicnB1qtFv7+/gbb/f39kZKSUuVzMjMzq2yfmZlZZfvExETMnj3bPAGTgWGRjbE/NRvFZVprh0JERPWIo8K6VS9WTW7qwrRp0wx6ejQaDYKDg60Ykf3o9YAvTs58zNphEBERGbBqcuPj4wOFQoGsrCyD7VlZWQgICKjyOQEBASa1V6lUUKlU5gmYiIiI6j2r9hsplUp06tQJSUlJ0jadToekpCR07dq1yud07drVoD0A7Nmzp9r2RERE1LBY/bJUQkIC4uLi0LlzZ3Tp0gULFy5EUVER4uPjAQCjRo1C48aNkZiYCACYOHEievfujfnz52PQoEFYu3Ytfv75ZyxdutSaL4OIiIjqCasnN7Gxsbh+/TpmzpyJzMxMdOjQAd9++61UNHzlyhXI5X92MHXr1g1r1qzB22+/jenTp6Nly5bYunUr2rZta62XQERERPWI1ee5qWuc54aIiMj2mPL7bfUZiomIiIjMickNERER2RUmN0RERGRXmNwQERGRXWFyQ0RERHaFyQ0RERHZFSY3REREZFeY3BAREZFdYXJDREREdsXqyy/UNf2EzBqNxsqREBERkbH0v9vGLKzQ4JKbgoICAEBwcLCVIyEiIiJTFRQUwMPDo8Y2DW5tKZ1Oh2vXrsHNzQ0ymcys+9ZoNAgODsbVq1e5bpWZ8dxaBs+r5fDcWg7PrWXU9/MqhEBBQQGCgoIMFtSuSoPruZHL5WjSpIlFj+Hu7l4vPxj2gOfWMnheLYfn1nJ4bi2jPp/Xe/XY6LGgmIiIiOwKkxsiIiKyK0xuzEilUmHWrFlQqVTWDsXu8NxaBs+r5fDcWg7PrWXY03ltcAXFREREZN/Yc0NERER2hckNERER2RUmN0RERGRXmNwQERGRXWFyYyafffYZQkNDoVarERUVhaNHj1o7JJuTmJiIhx56CG5ubvDz88OwYcOQmppq0KakpATjxo1Do0aN4OrqiqeeegpZWVlWitg2zZs3DzKZDJMmTZK28bzWXnp6Op5//nk0atQITk5OaNeuHX7++WfpcSEEZs6cicDAQDg5OSE6Ohrnz5+3YsS2QavVYsaMGQgLC4OTkxOaN2+O9957z2BdIZ5b4xw6dAhDhgxBUFAQZDIZtm7davC4MecxNzcXI0eOhLu7Ozw9PTFmzBgUFhbW4aswkaD7tnbtWqFUKsWyZcvEb7/9JsaOHSs8PT1FVlaWtUOzKTExMWL58uXi119/FadOnRIDBw4UTZs2FYWFhVKbV155RQQHB4ukpCTx888/i4cfflh069bNilHblqNHj4rQ0FDx4IMPiokTJ0rbeV5rJzc3V4SEhIjRo0eLn376SVy8eFHs3r1bXLhwQWozb9484eHhIbZu3SpOnz4tHn/8cREWFiZu3bplxcjrvzlz5ohGjRqJ7du3i7S0NLFhwwbh6uoqFi1aJLXhuTXOzp07xVtvvSU2b94sAIgtW7YYPG7Meezfv79o3769+PHHH8X3338vWrRoIUaMGFHHr8R4TG7MoEuXLmLcuHHSfa1WK4KCgkRiYqIVo7J92dnZAoA4ePCgEEKIvLw84ejoKDZs2CC1SU5OFgDEkSNHrBWmzSgoKBAtW7YUe/bsEb1795aSG57X2vv73/8uevToUe3jOp1OBAQEiI8++kjalpeXJ1Qqlfjqq6/qIkSbNWjQIPHiiy8abHvyySfFyJEjhRA8t7X11+TGmPN49uxZAUAcO3ZMarNr1y4hk8lEenp6ncVuCl6Wuk9lZWU4fvw4oqOjpW1yuRzR0dE4cuSIFSOzffn5+QAAb29vAMDx48dRXl5ucK7Dw8PRtGlTnmsjjBs3DoMGDTI4fwDP6/34+uuv0blzZwwfPhx+fn6IjIzEl19+KT2elpaGzMxMg3Pr4eGBqKgontt76NatG5KSknDu3DkAwOnTp3H48GEMGDAAAM+tuRhzHo8cOQJPT0907txZahMdHQ25XI6ffvqpzmM2RoNbONPccnJyoNVq4e/vb7Dd398fKSkpVorK9ul0OkyaNAndu3dH27ZtAQCZmZlQKpXw9PQ0aOvv74/MzEwrRGk71q5dixMnTuDYsWOVHuN5rb2LFy/iiy++QEJCAqZPn45jx45hwoQJUCqViIuLk85fVd8PPLc1mzp1KjQaDcLDw6FQKKDVajFnzhyMHDkSAHhuzcSY85iZmQk/Pz+Dxx0cHODt7V1vzzWTG6qXxo0bh19//RWHDx+2dig27+rVq5g4cSL27NkDtVpt7XDsik6nQ+fOnTF37lwAQGRkJH799VcsWbIEcXFxVo7Otq1fvx6rV6/GmjVr0KZNG5w6dQqTJk1CUFAQzy3dEy9L3ScfHx8oFIpKI0uysrIQEBBgpahs2/jx47F9+3bs378fTZo0kbYHBASgrKwMeXl5Bu15rmt2/PhxZGdno2PHjnBwcICDgwMOHjyIxYsXw8HBAf7+/jyvtRQYGIjWrVsbbIuIiMCVK1cAQDp//H4w3d/+9jdMnToVzz77LNq1a4cXXngBkydPRmJiIgCeW3Mx5jwGBAQgOzvb4PGKigrk5ubW23PN5OY+KZVKdOrUCUlJSdI2nU6HpKQkdO3a1YqR2R4hBMaPH48tW7Zg3759CAsLM3i8U6dOcHR0NDjXqampuHLlCs91Dfr164czZ87g1KlT0q1z584YOXKk9G+e19rp3r17pekKzp07h5CQEABAWFgYAgICDM6tRqPBTz/9xHN7D8XFxZDLDX+iFAoFdDodAJ5bczHmPHbt2hV5eXk4fvy41Gbfvn3Q6XSIioqq85iNYu2KZnuwdu1aoVKpxIoVK8TZs2fFyy+/LDw9PUVmZqa1Q7Mpr776qvDw8BAHDhwQGRkZ0q24uFhq88orr4imTZuKffv2iZ9//ll07dpVdO3a1YpR26a7R0sJwfNaW0ePHhUODg5izpw54vz582L16tXC2dlZ/Pe//5XazJs3T3h6eopt27aJX375RQwdOpTDlY0QFxcnGjduLA0F37x5s/Dx8RFvvvmm1Ibn1jgFBQXi5MmT4uTJkwKAWLBggTh58qS4fPmyEMK489i/f38RGRkpfvrpJ3H48GHRsmVLDgVvCD799FPRtGlToVQqRZcuXcSPP/5o7ZBsDoAqb8uXL5fa3Lp1S7z22mvCy8tLODs7iyeeeEJkZGRYL2gb9dfkhue19r755hvRtm1boVKpRHh4uFi6dKnB4zqdTsyYMUP4+/sLlUol+vXrJ1JTU60Ure3QaDRi4sSJomnTpkKtVotmzZqJt956S5SWlkpteG6Ns3///iq/W+Pi4oQQxp3HGzduiBEjRghXV1fh7u4u4uPjRUFBgRVejXFkQtw13SMRERGRjWPNDREREdkVJjdERERkV5jcEBERkV1hckNERER2hckNERER2RUmN0RERGRXmNwQERGRXWFyQ0RWJ5PJsHXrVmuHQUR2gskNEVnM6NGjIZPJIJPJ4OjoCH9/fzz66KNYtmyZtEYQAGRkZGDAgAFG7ZOJEBHdC5MbIrKo/v37IyMjA5cuXcKuXbvQt29fTJw4EYMHD0ZFRQWA26sOq1QqK0dKRPaCyQ0RWZRKpUJAQAAaN26Mjh07Yvr06di2bRt27dqFFStWADDsjSkrK8P48eMRGBgItVqNkJAQJCYmAgBCQ0MBAE888QRkMpl0//fff8fQoUPh7+8PV1dXPPTQQ9i7d69BHKGhoZg7dy5efPFFuLm5oWnTpli6dKlBmz/++AMjRoyAt7c3XFxc0LlzZ/z000/S49u2bUPHjh2hVqvRrFkzzJ49W0rQiKj+YHJDRHXukUceQfv27bF58+ZKjy1evBhff/011q9fj9TUVKxevVpKYo4dOwYAWL58OTIyMqT7hYWFGDhwIJKSknDy5En0798fQ4YMwZUrVwz2PX/+fHTu3BknT57Ea6+9hldffRWpqanSPnr37o309HR8/fXXOH36NN58803p8tn333+PUaNGYeLEiTh79iz++c9/YsWKFZgzZ46lThMR1Za1V+4kIvsVFxcnhg4dWuVjsbGxIiIiQghxe0X4LVu2CCGEeP3118UjjzwidDpdlc+7u21N2rRpIz799FPpfkhIiHj++eel+zqdTvj5+YkvvvhCCCHEP//5T+Hm5iZu3LhR5f769esn5s6da7Bt1apVIjAw8J6xEFHdcrB2ckVEDZMQAjKZrNL20aNH49FHH0WrVq3Qv39/DB48GI899liN+yosLMQ777yDHTt2ICMjAxUVFbh161alnpsHH3xQ+rdMJkNAQACys7MBAKdOnUJkZCS8vb2rPMbp06fxv//9z6CnRqvVoqSkBMXFxXB2djb6tRORZTG5ISKrSE5ORlhYWKXtHTt2RFpaGnbt2oW9e/fimWeeQXR0NDZu3FjtvqZMmYI9e/bg448/RosWLeDk5ISnn34aZWVlBu0cHR0N7stkMumyk5OTU43xFhYWYvbs2XjyyScrPaZWq2t8LhHVLSY3RFTn9u3bhzNnzmDy5MlVPu7u7o7Y2FjExsbi6aefRv/+/ZGbmwtvb284OjpCq9UatP/f//6H0aNH44knngBwOxG5dOmSSTE9+OCD+Ne//iUd5686duyI1NRUtGjRwqT9ElHdY3JDRBZVWlqKzMxMaLVaZGVl4dtvv0ViYiIGDx6MUaNGVWq/YMECBAYGIjIyEnK5HBs2bEBAQAA8PT0B3B71lJSUhO7du0OlUsHLywstW7bE5s2bMWTIEMhkMsyYMcNgHh1jjBgxAnPnzsWwYcOQmJiIwMBAnDx5EkFBQejatStmzpyJwYMHo2nTpnj66achl8tx+vRp/Prrr3j//ffNcaqIyEw4WoqILOrbb79FYGAgQkND0b9/f+zfvx+LFy/Gtm3boFAoKrV3c3PDhx9+iM6dO+Ohhx7CpUuXsHPnTsjlt7+u5s+fjz179iA4OBiRkZEAbidEXl5e6NatG4YMGYKYmBh07NjRpDiVSiW+++47+Pn5YeDAgWjXrh3mzZsnxRgTE4Pt27fju+++w0MPPYSHH34Yn3zyCUJCQu7zDBGRucmEEMLaQRARERGZC3tuiIiIyK4wuSEiIiK7wuSGiIiI7AqTGyIiIrIrTG6IiIjIrjC5ISIiIrvC5IaIiIjsCpMbIiIisitMboiIiMiuMLkhIiIiu8LkhoiIiOwKkxsiIiKyK/8PqxBmFgBw1YkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "flat_mosquito_probabilities = mosquito_probabilities.flatten()\n", + "sorted_flat_mosquito_probabilities = flat_mosquito_probabilities[sorted_indices]\n", + "plt.plot(sorted_distances,sorted_flat_mosquito_probabilities)\n", + "plt.title('Distance vs. Probability for Mosquito Movement')\n", + "plt.xlabel('Distance')\n", + "plt.ylabel('Probability Density')\n", + "plt.legend()\n", + "plt.show()\n" + ] + } + ], + "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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/von_mises_distribution.ipynb b/doc/devlog/von_mises_distribution.ipynb new file mode 100644 index 00000000..02e102e0 --- /dev/null +++ b/doc/devlog/von_mises_distribution.ipynb @@ -0,0 +1,65 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from epymorph.util import long_range_von_mises_distribution\n", + "\n", + "\n", + "tau_values = np.linspace(0, 2 * np.pi, 1000)\n", + "\n", + "sij = 0.8\n", + "phiij = np.pi\n", + "deltaij = 0.3\n", + "\n", + "probability_values = long_range_von_mises_distribution(sij, phiij, deltaij, tau_values)\n", + "probability_values /= np.max(probability_values)\n", + "\n", + "plt.plot(tau_values, probability_values)\n", + "plt.title('von Mises Distribution')\n", + "plt.xlabel('T')\n", + "plt.ylabel('t(ij)')\n", + "plt.xticks([0, np.pi/2, np.pi, 3*np.pi/2, 2*np.pi], ['0', '$\\\\frac{\\pi}{2}$', '$\\pi$', '$\\\\frac{3\\pi}{2}$', '$2\\pi$'])\n", + "plt.show()\n" + ] + } + ], + "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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/refactored.ipynb b/doc/refactored.ipynb new file mode 100644 index 00000000..612214b2 --- /dev/null +++ b/doc/refactored.ipynb @@ -0,0 +1,458 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import pygris\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "import numpy as np\n", + "from numpy.typing import DTypeLike, NDArray\n", + "import math\n", + "from sympy import centroid \n", + "from epymorph.geo.geo import Geo\n", + "from typing import (List, TypeVar)\n", + "N = TypeVar('N', bound=np.number)\n", + "import geopandas as gpd\n", + "from shapely.geometry import Polygon, mapping\n", + "import pandas as pd\n", + "import epymorph.util\n", + "from epymorph.data import geo_library, ipm_library, mm_library\n", + "from epymorph.initializer import bird_movement_initializer, single_location\n", + "from epymorph.simulation import Simulation, configure_sim_logging\n", + "from datetime import date\n", + "import matplotlib.pyplot as plt\n", + "from epymorph.run import plot_event, plot_pop\n", + "from importlib import reload\n", + "import logging" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'average_household_size': array([2.33, 2.15, 1.83, ..., 1.87, 4.29, 3.33]), 'centroid': array([(-111.77075643, 33.76924661), (-111.72000671, 33.74109333),\n", + " (-111.6669757 , 33.72404114), ..., (-111.88183665, 33.45074909),\n", + " (-111.84018578, 33.49859254), (-111.61909768, 33.33555257)],\n", + " dtype=[('longitude', '" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import geopandas as gpd\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.cm import ScalarMappable\n", + "from matplotlib.colors import Normalize\n", + "\n", + "from epymorph.ipm.compartment_model import edge\n", + "def plotMaricopaMovementProbability(result,source_node: str):\n", + " source_data = result[result['Destination Node'] == source_node]\n", + " norm = Normalize(vmin=result['Probability'].min(), vmax=result['Probability'].max())\n", + " sm = ScalarMappable(cmap='Reds', norm=norm)\n", + " # Plot the base map for destination nodes\n", + " fig, ax = plt.subplots(figsize=(10, 10))\n", + " destination_data = result[result['Destination Node'] != source_node]\n", + " destination_data.plot(ax=ax, color=sm.to_rgba(destination_data['Probability']), alpha=0.7)\n", + "\n", + " # Plot the source node with a different color (blue)\n", + " source_data.plot(ax=ax,color='blue',markersize=50, label='Source Node')\n", + " # Add colorbar with red shades\n", + " cbar = plt.colorbar(sm, ax=ax, orientation='vertical', pad=0.02)\n", + " cbar.set_label('No of birds moved')\n", + " # Set title and show the plot\n", + " plt.title('Birds Movement')\n", + " plt.legend() # Add legend for the source node\n", + " plt.show()\n", + "\n", + "dataframe = gdf.merge(result_df, left_on = 'GEOID' ,right_on = 'Destination Node' ,how='inner')\n", + "source_node = '040130927211'\n", + "result = dataframe[dataframe['Source Node']== source_node]\n", + "plotMaricopaMovementProbability(result,source_node)\n" + ] + } + ], + "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": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/epymorph/data/mm/local_birds.movement b/epymorph/data/mm/local_birds.movement new file mode 100644 index 00000000..cb71ac47 --- /dev/null +++ b/epymorph/data/mm/local_birds.movement @@ -0,0 +1,19 @@ + +[move-steps: per-day=2; duration=[1/3,2/3]] + +[predef: function= +def birds_movement(): + shape = 3 + scale = 3 + centroid = geo['centroid'] + distance = pairwise_haversine(centroid['longitude'], centroid['latitude']) + weibull_distribution = weibull_distribution_prob(distance, shape, scale) + result = row_normalize(weibull_distribution) + return {'result' : result} +] +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def bird_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population'][src]*0.1).astype(SimDType) + return np.multinomial(n_commuters,predef['result'][src]) + +] diff --git a/epymorph/data/mm/long_local_birds_model.movement b/epymorph/data/mm/long_local_birds_model.movement new file mode 100644 index 00000000..661f32af --- /dev/null +++ b/epymorph/data/mm/long_local_birds_model.movement @@ -0,0 +1,29 @@ +[move-steps: per-day=2; duration=[1/3,2/3]] + +[predef: function= +def long_range_birds_movement(): + centroid = geo['centroid'] + distance = pairwise_haversine(centroid['longitude'], centroid['latitude']) + powerlaw_distribution = powerlaw_distribution_probability(distance, param['alpha']) + result_powerlaw = row_normalize(1/powerlaw_distribution) + weibull_distribution = weibull_distribution_prob(distance, params['shape'], params['scale']) + result_weibull = row_normalize(weibull_distribution) + return {'result_powerlaw' :result_powerlaw, + 'result_weibull' : result_weibull + } +] + + +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def long_range_bird_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population'][src]*0.1).astype(SimDType) + return np.multinomial(n_commuters,predef['result_powerlaw'][src]) + +] + +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def bird_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population'][src]*0.1).astype(SimDType) + return np.multinomial(n_commuters,predef['result_weibull'][src]) + +] diff --git a/epymorph/data/mm/long_range_dispersal_birds.movement b/epymorph/data/mm/long_range_dispersal_birds.movement new file mode 100644 index 00000000..e6cfb75e --- /dev/null +++ b/epymorph/data/mm/long_range_dispersal_birds.movement @@ -0,0 +1,17 @@ +[move-steps : per-day=2; duration =[1/3,2/3]] + + +[predef: function= +def long_range_birds_movement(): + centroid = geo['centroid'] + distance = pairwise_haversine(centroid['longitude'], centroid['latitude']) + powerlaw_distribution = powerlaw_distribution_probability(distance, params['alpha']) + result = row_normalize(1/powerlaw_distribution) + return {'result' : result} +] + +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def long_range_bird_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population'][src]*0.1).astype(SimDType) + return np.multinomial(n_commuters,predef['result'][src]) +] diff --git a/epymorph/data/mm/long_range_seasonal.movement b/epymorph/data/mm/long_range_seasonal.movement new file mode 100644 index 00000000..63990827 --- /dev/null +++ b/epymorph/data/mm/long_range_seasonal.movement @@ -0,0 +1,14 @@ +[move-steps : per-day=2; duration =[1/3,2/3]] + + +[predef: function= +def long_range_birds_movement(): + tau = np.array([np.pi/2, np.pi,3*np.pi/2,2*np.pi]) + vonmises_distribution = long_range_von_mises_distribution(params['sij'], params['phiij'], params['deltaij'], tau) + return {'vonmises_distribution' :vonmises_distribution} +] +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def long_range_bird_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population']*0.1).astype(SimDType) + return np.multinomial(n_commuters,predef['vonmises_distribution'][src]) +] diff --git a/epymorph/data/mm/mosquito_mobility.movement b/epymorph/data/mm/mosquito_mobility.movement new file mode 100644 index 00000000..b5a85eed --- /dev/null +++ b/epymorph/data/mm/mosquito_mobility.movement @@ -0,0 +1,16 @@ +[move-steps: per-day=2; duration=[1/3,2/3]] + +[predef: function= +def mosquito_movement(): + centroid = geo['centroid'] + distance = pairwise_haversine(centroid['longitude'], centroid['latitude']) + vector_movement_probability = mosquito_movement_probability(distance, params['max_distance']) + result = row_normalize(vector_movement_probability) + return {'result' : result} +] +[mtype:days=all; leave=1; duration=0d; return = 2; function= +def mosquito_commuters_source(t,src): + n_commuters = np.floor(geo['bird_population'][src]*0.1).astype(SimDType) + movers = np.poisson(n_commuters*0.4) + return np.multinomial(movers,predef['result'][src]) +] diff --git a/epymorph/data/mm/my_experiment.movement b/epymorph/data/mm/my_experiment.movement new file mode 100644 index 00000000..466c9dd4 --- /dev/null +++ b/epymorph/data/mm/my_experiment.movement @@ -0,0 +1,18 @@ +[move-steps:per-day=2; duration=[2/3,1/3]] + +[mtype: days = [M,W,F,Su];leave=1;duration=0d;return=2; function= +def icecube_clause_1(t,src): + commuters_clause_1 = np.zeros_like(geo['population']) + if (src+1) < commuters_clause_1.size: + commuters_clause_1[src+1] = 5000 + return commuters_clause_1 +] + +[mtype:days=[T,Th,Sa]; leave=1;duration=0d;return=2; function= +def icecube_clause_2(t,dst): + commuters_clause_2 = np.zeros_like(geo['population']) + if (dst) >= 1: + commuters_clause_2[dst-1] = 50 + return commuters_clause_2 + +] diff --git a/epymorph/initializer.py b/epymorph/initializer.py index bedf60fc..52ea13d0 100644 --- a/epymorph/initializer.py +++ b/epymorph/initializer.py @@ -270,6 +270,18 @@ def bottom_locations(ctx: InitContext, attribute: str, num_locations: int, seed_ return indexed_locations(ctx, selection, seed_size) +def bird_movement_initializer(ctx: InitContext) -> NDArray[SimDType]: + result = ctx.geo['bird_population'].reshape( + (ctx.dim.nodes, ctx.dim.compartments)) # type: ignore + return result.astype(SimDType) + + +def mosquito_movement_initializer(ctx: InitContext) -> NDArray[SimDType]: + result = ctx.geo['bird_population'].reshape( + (ctx.dim.nodes, ctx.dim.compartments)) # type: ignore + return result.astype(SimDType) + + DEFAULT_INITIALIZER = single_location initializer_library: dict[str, Initializer] = { @@ -281,6 +293,8 @@ def bottom_locations(ctx: InitContext, attribute: str, num_locations: int, seed_ 'random_locations': random_locations, 'top_locations': top_locations, 'bottom_locations': bottom_locations, + 'bird_movement_intializer': bird_movement_initializer, + 'mosquito_movement_initializer': mosquito_movement_initializer } """A library for the built-in initializer functions.""" diff --git a/epymorph/simulation.py b/epymorph/simulation.py index 862e5e70..954806e0 100644 --- a/epymorph/simulation.py +++ b/epymorph/simulation.py @@ -13,8 +13,11 @@ from numpy.random import SeedSequence from epymorph.code import ImmutableNamespace, base_namespace -from epymorph.util import (Event, pairwise_haversine, progress, row_normalize, - subscriptions) +from epymorph.util import (Event, long_range_von_mises_distribution, + mosquito_movement_probability, pairwise_haversine, + powerlaw_distribution_probability, progress, + row_normalize, subscriptions, + weibull_distribution_prob) SimDType = np.int64 """ @@ -218,6 +221,10 @@ def epymorph_namespace() -> dict[str, Any]: 'SimDType': SimDType, # our utility functions 'pairwise_haversine': pairwise_haversine, + 'long_range_von_mises_distribution': long_range_von_mises_distribution, + 'powerlaw_distribution_probability': powerlaw_distribution_probability, + 'weibull_distribution_prob': weibull_distribution_prob, + 'mosquito_movement_probability': mosquito_movement_probability, 'row_normalize': row_normalize, # numpy namespace 'np': ImmutableNamespace({ diff --git a/epymorph/test/util_test.py b/epymorph/test/util_test.py index 92980bae..99c03fad 100644 --- a/epymorph/test/util_test.py +++ b/epymorph/test/util_test.py @@ -83,3 +83,12 @@ def test_check_ndarray_03(self): util.check_ndarray(arr, dtype=np.str_) with self.assertRaises(util.NumpyTypeError): util.check_ndarray(arr, dimensions=3) + + def test_weibull_distribution(self): + act = util.weibull_distribution_prob( + np.linspace(0, 2.5, 10), shape=1.5, scale=1) + # the expected values were generated by scipy: + # weibull_min.pdf(np.linspace(0, 2.5, 10), c=1.5) + exp = np.array([0., 0.68290224, 0.73895749, 0.63991403, 0.49013786, + 0.34400327, 0.22519705, 0.13897726, 0.08143303, 0.0455367]) + np.testing.assert_allclose(act, exp) diff --git a/epymorph/util.py b/epymorph/util.py index 29981884..e0c3fbd4 100644 --- a/epymorph/util.py +++ b/epymorph/util.py @@ -1,4 +1,6 @@ """epymorph general utility functions and classes.""" +from __future__ import annotations + from contextlib import contextmanager from typing import (Any, Callable, Generator, Generic, Iterable, Literal, OrderedDict, TypeVar) @@ -166,6 +168,45 @@ def row_normalize(arr: NDArray[N], row_sums: NDArray[N] | None = None, dtype: DT RADIUS_MI = 3959.87433 # radius of earth in mi +def weibull_distribution_prob(distance: NDArray[N], shape: float, scale: float) -> NDArray[np.float64]: + """ + Calculate the Weibull distribution probability density function for each value in `x`. + `shape` and `scale` are parameters which alter the shape of the distribution, + and each must be greater than zero. + https://en.wikipedia.org/wiki/Weibull_distribution + """ + if shape <= 0 or scale <= 0: + raise ValueError("`shape` and `scale` must be greater than zero.") + x = distance.astype(np.float64) + return ((shape / scale) + * ((x / scale) ** (shape - 1)) + * (np.exp(-((x / scale) ** shape)))) + + +def powerlaw_distribution_probability(distance: NDArray[N], alpha: float) -> NDArray[np.float64]: + result = np.zeros_like(distance, dtype=np.float64) + min_distance = 22530 * 0.00062 + normalize_distance = distance / min_distance + result = ((alpha - 1) / min_distance) * \ + ((normalize_distance / min_distance)**-alpha) # type: ignore + return result # type:ignore + + +def mosquito_movement_probability(distance: NDArray[N], max_distance: float) -> NDArray[np.float64]: + result = np.zeros_like(distance, dtype=np.float64) + max_distance_mosquito = max_distance * 0.00062 + result = ((max_distance_mosquito) - (distance)) / (max_distance_mosquito) + result = np.maximum(result, 0) + return result # type:ignore + + +def long_range_von_mises_distribution(sij: float, phiij: float, deltaij: float, tau: NDArray[np.float64]) -> NDArray[np.float64]: + exponent_term = np.exp(np.cos(tau - phiij) - 1) + tij = sij * (exponent_term / deltaij**2) + tij /= np.max(tij) + return tij + + def pairwise_haversine(longitudes: NDArray[np.float64], latitudes: NDArray[np.float64]) -> NDArray[np.float64]: """Compute the distances in miles between all pairs of coordinates.""" # https://www.themathdoctors.org/distances-on-earth-2-the-haversine-formula