{ "cells": [ { "cell_type": "markdown", "id": "202599bf", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Transformations and diagnostics\n", "\n", "Peter Ralph\n", "\n", "https://uodsci.github.io/dsci345" ] }, { "cell_type": "code", "execution_count": 2, "id": "733bfdf0", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt\n", "matplotlib.rcParams['figure.figsize'] = (15, 8)\n", "import numpy as np\n", "import pandas as pd\n", "from dsci345 import pretty\n", "\n", "rng = np.random.default_rng()" ] }, { "cell_type": "markdown", "id": "88ec5c59", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "$$\\renewcommand{\\P}{\\mathbb{P}} \\newcommand{\\E}{\\mathbb{E}} \\newcommand{\\var}{\\text{var}} \\newcommand{\\sd}{\\text{sd}} \\newcommand{\\cov}{\\text{cov}} \\newcommand{\\cor}{\\text{cor}}$$\n", "This is here so we can use `\\P` and `\\E` and `\\var` and `\\cov` and `\\cor` and `\\sd` in LaTeX below." ] }, { "cell_type": "markdown", "id": "79439dd2", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# An example" ] }, { "cell_type": "markdown", "id": "b6e3b2b4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's look at how newborn (i.e., \"neonate\") body mass\n", "is related to adult body mass,\n", "across a bunch of mammal species\n", "(in the order Carnivora, including dogs, cats, bears, weasels, and seals). [(data link)](https://github.com/UOdsci/dsci345/blob/main/class_material/slides/data/carnivora_sizes.csv)" ] }, { "cell_type": "code", "execution_count": 3, "id": "97f0423c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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FamilyNeonateBodyMass_gAdultBodyMass_gAgeatEyeOpening_dWeaningAge_d
Binomial
Canis aureusCanidae211.829658.707.5061.30
Canis latransCanidae200.0111989.1011.9443.71
Canis lupusCanidae412.3131756.5114.0144.82
Canis mesomelasCanidae177.208247.30NaN34.10
Callorhinus ursinusOtariidae5354.8055464.820.00108.69
..................
Vulpes lagopusCanidae69.173584.3715.0349.50
Vulpes veloxCanidae39.942088.0012.5047.08
Vulpes vulpesCanidae100.494820.3614.0150.71
Vulpes zerdaCanidae28.041317.1316.9565.56
Zalophus californianusOtariidae6347.89137194.860.00319.01
\n", "

145 rows × 5 columns

\n", "
" ], "text/plain": [ " Family NeonateBodyMass_g AdultBodyMass_g \\\n", "Binomial \n", "Canis aureus Canidae 211.82 9658.70 \n", "Canis latrans Canidae 200.01 11989.10 \n", "Canis lupus Canidae 412.31 31756.51 \n", "Canis mesomelas Canidae 177.20 8247.30 \n", "Callorhinus ursinus Otariidae 5354.80 55464.82 \n", "... ... ... ... \n", "Vulpes lagopus Canidae 69.17 3584.37 \n", "Vulpes velox Canidae 39.94 2088.00 \n", "Vulpes vulpes Canidae 100.49 4820.36 \n", "Vulpes zerda Canidae 28.04 1317.13 \n", "Zalophus californianus Otariidae 6347.89 137194.86 \n", "\n", " AgeatEyeOpening_d WeaningAge_d \n", "Binomial \n", "Canis aureus 7.50 61.30 \n", "Canis latrans 11.94 43.71 \n", "Canis lupus 14.01 44.82 \n", "Canis mesomelas NaN 34.10 \n", "Callorhinus ursinus 0.00 108.69 \n", "... ... ... \n", "Vulpes lagopus 15.03 49.50 \n", "Vulpes velox 12.50 47.08 \n", "Vulpes vulpes 14.01 50.71 \n", "Vulpes zerda 16.95 65.56 \n", "Zalophus californianus 0.00 319.01 \n", "\n", "[145 rows x 5 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "carnivores = pd.read_csv(\"data/carnivora_sizes.csv\").set_index(\"Binomial\")\n", "carnivores" ] }, { "cell_type": "code", "execution_count": 4, "id": "13291911", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(carnivores.AdultBodyMass_g, carnivores.NeonateBodyMass_g, s=100);\n", "plt.xlabel(\"adult body mass\"); plt.ylabel(\"neonate body mass\");" ] }, { "cell_type": "markdown", "id": "3f8b47b9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "But - there's some \"substructure\"!" ] }, { "cell_type": "code", "execution_count": 5, "id": "b0208ab9", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = {f: c for f, c in zip(carnivores.Family.unique(), plt.cm.tab20.colors)}\n", "for f in colors:\n", " sub = carnivores[carnivores.Family == f]\n", " plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n", "plt.xlabel(\"adult body mass\"); plt.ylabel(\"neonate body mass\");\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "2e6d1c80", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# First pass: a normal linear model" ] }, { "cell_type": "markdown", "id": "a4c66d60", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's fit a linear model and see what it's predictions are like:" ] }, { "cell_type": "code", "execution_count": 6, "id": "a303d75f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression as lm\n", "fit1 = lm().fit(carnivores[['AdultBodyMass_g']], carnivores.NeonateBodyMass_g)" ] }, { "cell_type": "code", "execution_count": 7, "id": "54ec56f4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for f in colors:\n", " sub = carnivores[carnivores.Family == f]\n", " plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n", "pred = pd.DataFrame({ \"AdultBodyMass_g\": np.linspace(np.min(carnivores.AdultBodyMass_g), 1.6e6, 201) })\n", "pred['NeonateBodyMass_g'] = fit1.predict(pred)\n", "plt.plot(pred.AdultBodyMass_g, pred.NeonateBodyMass_g)\n", "plt.xlabel(\"adult mass\"); plt.ylabel(\"neonate mass\"); plt.legend();" ] }, { "cell_type": "markdown", "id": "6736cf96", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Heteroskedasticity?" ] }, { "cell_type": "markdown", "id": "fdd8f6ea", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Diagnostics" ] }, { "cell_type": "markdown", "id": "33ac7b9b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Two good generic diagnostic plots are:\n", "\n", "1. residuals versus fitted\n", "2. distribution of residuals (histogram or QQ plot)\n", "\n", "*What's the idea?*\n", "\n", "1. If the residuals show predictable patterns, we could improve our model,\n", "2. and if the residual SD differs systematically,\n", " we have *heteroskedasticity*\n", " (and so our model isn't using all the data very well)." ] }, { "cell_type": "markdown", "id": "e0c13886", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Patterns in the residuals" ] }, { "cell_type": "markdown", "id": "fac34b57", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Here's data that are nonlinear but we don't know it:" ] }, { "cell_type": "code", "execution_count": 8, "id": "68d5b987", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([np.linspace(-4, 4, 101)]).T\n", "y = rng.normal(loc=3*X+X**2, scale=1)\n", "xy_lm = lm().fit(X, y)\n", "yhat = xy_lm.predict(X)\n", "plt.scatter(X[:,0], y)\n", "plt.plot(X[:,0], yhat);" ] }, { "cell_type": "markdown", "id": "6cb077cf", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "And, this shows up in the fit-versus-residuals plot:" ] }, { "cell_type": "code", "execution_count": 9, "id": "b152feb8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "resids = y - yhat\n", "plt.scatter(yhat, resids);\n", "plt.axhline(0, color='red')\n", "plt.xlabel(\"fitted values\"); plt.ylabel(\"residuals\");" ] }, { "cell_type": "markdown", "id": "203d8ecb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Solution: add a quadratic term!" ] }, { "cell_type": "code", "execution_count": 10, "id": "51bf7993", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XX2 = np.hstack([X, X**2])\n", "xy_lm = lm().fit(XX2, y)\n", "yhat = xy_lm.predict(XX2)\n", "plt.scatter(X[:,0], y); plt.plot(X[:,0], yhat); plt.xlabel(\"x\"); plt.ylabel('y');" ] }, { "cell_type": "code", "execution_count": 11, "id": "b16e3cca", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "resids = y - yhat\n", "plt.scatter(yhat, resids);\n", "plt.axhline(0, color='red')\n", "plt.xlabel(\"fitted values\"); plt.ylabel(\"residuals\");" ] }, { "cell_type": "markdown", "id": "8dda65fd", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Back to our data" ] }, { "cell_type": "markdown", "id": "634ec6df", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's look at this in our data:" ] }, { "cell_type": "code", "execution_count": 12, "id": "b7b14e2a", "metadata": {}, "outputs": [], "source": [ "carnivores['PredictedNeonateMass'] = fit1.predict(\n", " carnivores[['AdultBodyMass_g']]\n", ")\n", "carnivores['residual'] = carnivores['NeonateBodyMass_g'] - carnivores['PredictedNeonateMass']" ] }, { "cell_type": "code", "execution_count": 13, "id": "e14f46f1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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FamilyNeonateBodyMass_gAdultBodyMass_gAgeatEyeOpening_dWeaningAge_dPredictedNeonateMassresidual
Binomial
Canis aureusCanidae211.829658.707.5061.30916.205446-704.385446
Canis latransCanidae200.0111989.1011.9443.711003.630922-803.620922
Canis lupusCanidae412.3131756.5114.0144.821745.209715-1332.899715
Canis mesomelasCanidae177.208247.30NaN34.10863.256460-686.056460
Callorhinus ursinusOtariidae5354.8055464.820.00108.692634.6322512720.167749
........................
Vulpes lagopusCanidae69.173584.3715.0349.50688.325602-619.155602
Vulpes veloxCanidae39.942088.0012.5047.08632.188948-592.248948
Vulpes vulpesCanidae100.494820.3614.0150.71734.694042-634.204042
Vulpes zerdaCanidae28.041317.1316.9565.56603.269588-575.229588
Zalophus californianusOtariidae6347.89137194.860.00319.015700.752923647.137077
\n", "

145 rows × 7 columns

\n", "
" ], "text/plain": [ " Family NeonateBodyMass_g AdultBodyMass_g \\\n", "Binomial \n", "Canis aureus Canidae 211.82 9658.70 \n", "Canis latrans Canidae 200.01 11989.10 \n", "Canis lupus Canidae 412.31 31756.51 \n", "Canis mesomelas Canidae 177.20 8247.30 \n", "Callorhinus ursinus Otariidae 5354.80 55464.82 \n", "... ... ... ... \n", "Vulpes lagopus Canidae 69.17 3584.37 \n", "Vulpes velox Canidae 39.94 2088.00 \n", "Vulpes vulpes Canidae 100.49 4820.36 \n", "Vulpes zerda Canidae 28.04 1317.13 \n", "Zalophus californianus Otariidae 6347.89 137194.86 \n", "\n", " AgeatEyeOpening_d WeaningAge_d PredictedNeonateMass \\\n", "Binomial \n", "Canis aureus 7.50 61.30 916.205446 \n", "Canis latrans 11.94 43.71 1003.630922 \n", "Canis lupus 14.01 44.82 1745.209715 \n", "Canis mesomelas NaN 34.10 863.256460 \n", "Callorhinus ursinus 0.00 108.69 2634.632251 \n", "... ... ... ... \n", "Vulpes lagopus 15.03 49.50 688.325602 \n", "Vulpes velox 12.50 47.08 632.188948 \n", "Vulpes vulpes 14.01 50.71 734.694042 \n", "Vulpes zerda 16.95 65.56 603.269588 \n", "Zalophus californianus 0.00 319.01 5700.752923 \n", "\n", " residual \n", "Binomial \n", "Canis aureus -704.385446 \n", "Canis latrans -803.620922 \n", "Canis lupus -1332.899715 \n", "Canis mesomelas -686.056460 \n", "Callorhinus ursinus 2720.167749 \n", "... ... \n", "Vulpes lagopus -619.155602 \n", "Vulpes velox -592.248948 \n", "Vulpes vulpes -634.204042 \n", "Vulpes zerda -575.229588 \n", "Zalophus californianus 647.137077 \n", "\n", "[145 rows x 7 columns]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "carnivores" ] }, { "cell_type": "markdown", "id": "9b8e3eb3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "No particular pattern (?), but certainly: heteroskedasticity!" ] }, { "cell_type": "code", "execution_count": 14, "id": "e603b173", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(carnivores.PredictedNeonateMass, carnivores.residual)\n", "plt.axhline(0, color='red');\n", "plt.xlabel(\"predicted neonate body mass\"); plt.ylabel(\"residual of neonate body mass\");" ] }, { "cell_type": "markdown", "id": "aea15bb8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Why is heteroskedasticity a problem?\n", "Above, we see that small body masses are all very close to the predicted line.\n", "Indeed they have to be! A 5g weasel can't have a 100kg baby.\n", "So: these small animals are not affecting the fit of that line very much at all.\n", "Maybe that's okay - if we're interested in a relationship that holds\n", "only for big animals, for instance -\n", "but we should dig more." ] }, { "cell_type": "markdown", "id": "b23e7d0a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# A transformation" ] }, { "cell_type": "markdown", "id": "78cd75f3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "One reason for having bad model fit\n", "is that you aren't looking at the data through the right lens.\n", "\n", "Most commonly:\n", "if the data vary by *percent changes*,\n", "then using standard methods (that assume *additive changes*)\n", "won't do so great.\n", "But, the **logarithm** turns percent changes\n", "into additive changes!\n", "\n", "Let's try it out." ] }, { "cell_type": "code", "execution_count": 15, "id": "01858e31", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for f in colors:\n", " sub = carnivores[carnivores.Family == f]\n", " plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n", "plt.xscale(\"log\"); plt.yscale(\"log\") # log-log axes\n", "plt.xlabel(\"adult mass\"); plt.ylabel(\"neonate mass\"); plt.legend();" ] }, { "cell_type": "markdown", "id": "4a24849b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Okay, let's now fit a model\n", "to log(adult) and log(neonate) mass:" ] }, { "cell_type": "code", "execution_count": 16, "id": "f1506291", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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FamilyNeonateBodyMass_gAdultBodyMass_gAgeatEyeOpening_dWeaningAge_dPredictedNeonateMassresiduallogAdultBodyMass_glogNeonateBodyMass_g
Binomial
Canis aureusCanidae211.829658.707.5061.30916.205446-704.3854469.1756145.355737
Canis latransCanidae200.0111989.1011.9443.711003.630922-803.6209229.3917535.298367
Canis lupusCanidae412.3131756.5114.0144.821745.209715-1332.89971510.3658536.021775
Canis mesomelasCanidae177.208247.30NaN34.10863.256460-686.0564609.0176415.177279
Callorhinus ursinusOtariidae5354.8055464.820.00108.692634.6322512720.16774910.9235048.585749
..............................
Vulpes lagopusCanidae69.173584.3715.0349.50688.325602-619.1556028.1843384.236567
Vulpes veloxCanidae39.942088.0012.5047.08632.188948-592.2489487.6439623.687378
Vulpes vulpesCanidae100.494820.3614.0150.71734.694042-634.2040428.4806044.610058
Vulpes zerdaCanidae28.041317.1316.9565.56603.269588-575.2295887.1832103.333632
Zalophus californianusOtariidae6347.89137194.860.00319.015700.752923647.13707711.8291588.755878
\n", "

145 rows × 9 columns

\n", "
" ], "text/plain": [ " Family NeonateBodyMass_g AdultBodyMass_g \\\n", "Binomial \n", "Canis aureus Canidae 211.82 9658.70 \n", "Canis latrans Canidae 200.01 11989.10 \n", "Canis lupus Canidae 412.31 31756.51 \n", "Canis mesomelas Canidae 177.20 8247.30 \n", "Callorhinus ursinus Otariidae 5354.80 55464.82 \n", "... ... ... ... \n", "Vulpes lagopus Canidae 69.17 3584.37 \n", "Vulpes velox Canidae 39.94 2088.00 \n", "Vulpes vulpes Canidae 100.49 4820.36 \n", "Vulpes zerda Canidae 28.04 1317.13 \n", "Zalophus californianus Otariidae 6347.89 137194.86 \n", "\n", " AgeatEyeOpening_d WeaningAge_d PredictedNeonateMass \\\n", "Binomial \n", "Canis aureus 7.50 61.30 916.205446 \n", "Canis latrans 11.94 43.71 1003.630922 \n", "Canis lupus 14.01 44.82 1745.209715 \n", "Canis mesomelas NaN 34.10 863.256460 \n", "Callorhinus ursinus 0.00 108.69 2634.632251 \n", "... ... ... ... \n", "Vulpes lagopus 15.03 49.50 688.325602 \n", "Vulpes velox 12.50 47.08 632.188948 \n", "Vulpes vulpes 14.01 50.71 734.694042 \n", "Vulpes zerda 16.95 65.56 603.269588 \n", "Zalophus californianus 0.00 319.01 5700.752923 \n", "\n", " residual logAdultBodyMass_g logNeonateBodyMass_g \n", "Binomial \n", "Canis aureus -704.385446 9.175614 5.355737 \n", "Canis latrans -803.620922 9.391753 5.298367 \n", "Canis lupus -1332.899715 10.365853 6.021775 \n", "Canis mesomelas -686.056460 9.017641 5.177279 \n", "Callorhinus ursinus 2720.167749 10.923504 8.585749 \n", "... ... ... ... \n", "Vulpes lagopus -619.155602 8.184338 4.236567 \n", "Vulpes velox -592.248948 7.643962 3.687378 \n", "Vulpes vulpes -634.204042 8.480604 4.610058 \n", "Vulpes zerda -575.229588 7.183210 3.333632 \n", "Zalophus californianus 647.137077 11.829158 8.755878 \n", "\n", "[145 rows x 9 columns]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "carnivores['logAdultBodyMass_g'] = np.log(carnivores['AdultBodyMass_g'])\n", "carnivores['logNeonateBodyMass_g'] = np.log(carnivores['NeonateBodyMass_g'])\n", "fit2 = lm().fit(carnivores[['logAdultBodyMass_g']], carnivores.logNeonateBodyMass_g)\n", "carnivores" ] }, { "cell_type": "code", "execution_count": 17, "id": "8ae9ec7c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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wCtyHrTVnPGSNhvMegW5D264maZRCMxEREREREZGmpOZYPcQaa9J/lM0RfJN+b1XLeqaBdd2+DbD5XQ0PaEJppYdXFufz6tJdHHFbYVn/bvH83/T+fH1YBva2DMuOd/zXkq8GSrZBwedQU9vg3xELmbnQcwSMuLZT/56Fm0IzERERERERkeZIzbF6iJ1qR1ePUWCPDu59gzqW2YCNf23GPTrv8ICSw25eXpTPX5bvosrjB2BQegK3Te/PhWdkYIsKw/HVLv0hdSjMfRDKCqw1ezT0Ggn9JkOfKS37WpKQUmgmIiIiIiIi0lyOGKuHWOaE0PUOszlbWVRz+qx1vuEB+ypqeGFBPm+u3EWNNwDA0B6J/N/0AZw3pDtR4QjLTBPyPoZ5D0PxBmstOgnG3gQjfwCxKepDF0EUmomIiIiIiIgEyzDAGQfEtf69HLHWTrWWHtFstkaGB5xm9pZV8/yC7fz180I8PissOzMzmdun92f6oG4Y4QikTBO2z7XCsj2rrTVnAoy7GcbfCjHJ7V+TNEmhmYiIiIiIiEg4GYa1cy3vg/a539HhAafZbqaCg1XMWrCNv6/ejddv7b4b1bsLt58zgMkDuoYnLAPYuRjmPgQFy6zH9hgYeyNM/Im1s0wilkIzERERERERkXDLyLWa9fu9NO+4ZStUl1pHS50h2CUXAbbtP8Jz87fxz3V78Qesz93Yvin85JwBjM9ODV9YVrjSCst2LLAe21xw1vUw6acQ3y08NUlQFJqJiIiIiIiIhJsjxppuuXYOYHDq4Kyp55vB7yEkR0vDaEtxBc/M3cZ/NhRh1n46Juekcdu0/ozpG8YdXHvXwrxH4KtPrcdRDsi9Bs7+GST1DF9dEjSFZiIiIiIiIiKRIDXHmm65/o1TT9S0OWDIN2HDWy2/V6uHD4TPht3l/GnuV3y6aV/d2tcGd+e26f0ZkZkcvsL2fWmFZVtqj9kaNhhxJUy+G7r0Dl9d0mIKzUREREREREQiRWqONd2yaI3Ve+z44QAxKVYvsh6jrKN+MZ+0bHhATO2Exg5m9a5S/jR3G/O3lgBWS7aLzsjg1mn9GdIjMXyFHfgK5s+Eje9RN6V02Ldh6j2Qmh2+uqTVFJqJiIiIiIiIBMs0rb5gfo+1a8sRG7rG+o4Ya7pl5oRT36OlwwM60BAA0zRZln+QP322jWX5BwGwRRlcdmYPbpmWTf9uCeErrnQHLHgM1v8VTGtKJ0Mug6n3QrfB4atLQkahmYiIiIiIiEhzeatPvQssI9cKvULBMGqb9TfSeyzo4QGGdbQzIzc09bUh0zSZn1fCM3O3sXrXIQAcNoNv5vbi5qnZ9E4NYz+2skJY+DisewMCPmst50KYdh9kDA9fXRJyCs1EREREREREmuNgXuP9xqpLrV1f2z+1Gvqn5rR9PUEPD8B6fahCvTYQCJj8d/M+npm7jQ17ygFw2qP43lmZ3Dglm57JYaz9cDEs+gOsnnPsayB7Okx7AHqNCl9d0mYUmomIiIiIiIg05WBebTjVBL/Xet3IGe0TnAUzPKC9wrwW8AdMPtxQxLPztrGl+DAAMQ4bV43N4obJ/eiWGB2+4ioPwOIn4fOXwVdjrfWeBNMfgN7jw1eXtLmocN584cKFXHLJJfTo0QPDMHj//ffrPW+aJr/+9a/p0aMHMTExTJ06lS+//DI8xYqIiIiIiEjn5K22Qimg6WOQtc+vf8O6rj0cHR6Qc7F1TPR4MSnW+tn3RmRg5vUHeHf1bs59cgH/99ZathQfJt5l59Zp2Sz+xTQeuHhI+AKzqlL47Lfw1HBY9owVmPUaA9f8E2Z8oMCsEwjrTrPKykrOPPNMrrvuOr75zW+e9Pxjjz3GE088wZw5c8jJyeGhhx7i3HPPZevWrSQkhLHZn4iIiIiIiHQeRWtOvYvrJKb1+qI1VkP/9tDc4QERwu3z8+7qPcxasI3CUitcTIpx8MOJfZkxoQ9JsY7wFVdTActnWUGZu8JayzjTOoY54NyI/HxK2whraHbhhRdy4YUXNvicaZo89dRT3H///VxxxRUAvPrqq3Tv3p0333yTG2+8sT1LFRERERERkY4mFBMuTdNq+t8SBYuh13iIasdDXk0NDwizGq+fv64s4IWF+RSVW0cdU+Oc/OjsfvxgfG/iXWGMKTyVsPJFWPJHqLaGD9BtCEy7HwZ9XWFZJxSxPc127NhBcXEx5513Xt2ay+ViypQpLF26tNHQzO1243a76x5XVFS0ea0iIiIiIiISQUI54dJbVf89glFTBkt/b+0AC+VUzQ6o0u3jjRW7eHHhDg4csX5m757o4sbJ2Vw5JosYpy18xXmrYdWfrb5llSXWWuoAmHYvDLm8fUNPiSgRG5oVFxcD0L1793rr3bt3Z9euXY1eN3PmTH7zm9+0aW0iIiIiIiISoUI94TKoY5kNqDnU/lM1I0hFjZfXlu7klcU7OFTlBaBncgw3T83mW6N6Ee0IY1jm88CaV62JmIeLrLUufWDKPTDs22CL2MhE2knEfwUYJ2x/NE3zpLXj3Xvvvdx55511jysqKsjMzGyz+kRERERERCRCtMWES5szBIUFec/TwKFKD7OX7GD20p0crvEB0Cc1llum9efykT1x2MK4e8vvhS/eggWPQ3mBtZbYC6b8HEZcZU0aFSGCQ7P09HTA2nGWkZFRt75///6Tdp8dz+Vy4XK52rw+ERERERERiSBBT7g0rNdPuufUxyYdsdaxzpYe0WzJPZv7jqaJx2fi85vYbQZOu3HKTSbtoeSwm5cX5fOX5buo8vgBGNAtntum9+frwzKwhzMsC/hhw99hwe+gNN9ai+8OZ98Fo64Fu7IEqS9iQ7O+ffuSnp7Of//7X0aOHAmAx+NhwYIFPProo2GuTkRERERERCJKW024NAyrD1reB60uMVRTNT2+AAUlNeQXV1Hp9tetx7ls9EuPJSstGqe9fcOpovJqXliQz1srC3D7AgAMyUjk/6b35/yh6URFhTHMCwRg8z9h3kw4sNVai02FST+F0deDMzZ8tUlEC2toduTIEbZt21b3eMeOHaxbt46UlBSysrK44447eOSRRxgwYAADBgzgkUceITY2lu9///thrFpEREREREQiSmsmXBYutUKxU+3Qysi1epL5vTS9iy1E92zEvjI3K/LK8QdOrqPS7WfDrsNsKjzC2Jwkuie3/c6pwtIqZi3Yzt9X7cbjt8KyEZnJ3H5Of6YN7BbenW+mCVs/gnmPwL4N1lp0Mky8HcbcCK748NUmHUJYQ7NVq1Yxbdq0usdHe5Fde+21zJkzh7vvvpvq6mpuueUWDh06xNixY/n0009JSEgIV8kiIiIiIiISaVoz4bK61LreGdf4axwxVhP/tXMAg1YHZ825ZwP2lblZtqWsybv7AybLtpQxflBymwVn+SVHeHbedt5ft6cuwBvTN4Xbpw9gYv/U8Idl2z6DeQ/D3jXWmjMBxt8K42+B6KTw1SYdimGaZghi8shVUVFBUlIS5eXlJCYmhrscERERERERCRXTtMKnyhJY/ULL32fi3RDTpenXnWoyZ1vds5bHF+DjNQca3GHWGFuUwQW5XUN6VHNr8WGembeN/6zfy9FSzh7Qldum9Wdsv9SQ3afFdiyCuQ9B4XLrsSMWxt4IE26H2JTw1iYRo7lZUcT2NBMRERERERFpkLfa6gtWuDQEDfpp/oTM1ByriX/RGihYDDVlbX/PWgUlNUEFZmDtOCssqSE7o/U9uzbsLueZeV/xyZf76ta+Nrgbt07rz8is5od/baZgBcx7CHYstB7bXHDWj2DSHRDfLaylScel0ExEREREREQ6jlDu9gJrMqYjiFDJEWM18e81Hpb+HmoOtfk9TdMkv7gq+PsA24ur6Jce0+Ljkqt3HeKZuV8xb2sJYLVhu/CMdG6d1p+hPSLgmOOeNVbPsm3/tR5HOaxJmGf/DBJ7hLc26fAUmomIiIiIiEjHcDCvtq9YCLWwIT9RUVZ41pKpmkHe0+Mz603JDEal24/HZ+JyNP9+pmmyLP8gz8zdxtLtBwGIMuCyET25ZWo2A7pHQJ/x4o0wfyZsqf38GzYY8X2YcjckZ4W3NjltKDQTERERERGRyOettnaYASGZYIkBNoc1GbOlgp6q2bJ7+vyt+3h9fhOXo+nXmabJ3C37eXbeNtYUlAFgjzL4Zm4vbp6aTZ+uwQ0uaBMlW62w7Mt/1C4YMPy7VliWmh3W0uT0o9BMREREREREIl/RmtAdyTxq+FXWccuWCmqqptHie9ptrZtE2dT1/oDJRxuLeHbedjYXVQDgtEfxvbMyuWFyP3p1aX1PtFYrzYf5j8KGv4EZsNaGXg5T74W0geGtTU5bCs1EREREREQkspmm1fQ/lLLPtRr7t1ZqDoyc0XSfNZvDCsxacE+n3SDOZWvREc04lw2nveHQzOsP8P7aPcxasJ38kkrr9U4bV4/rzfVn96VbQnTQ9wu5skJY+BisfQPM2o9/4Ndh2r2QPiy8tclpT6GZiIiIiIiIRDZvVWimZB5v53zoNa51O82OOn6q5okTPWNSrB5mPUaBvWUhlGEY9EuPZcOuw0Ffm50ee9IQgBqvn3dWFfL8gnz2lFUDkBTj4LqJfZgxoQ/JscFN9mwTFUWw6A+w5tVjYWT/r8G0+6DnqPDWJp2GQjMRERERERGJbKE+lnn0PYvWWM38Q+HoVM3MCVbI5/eAzWlNyWzh5MrjZaVFs6nwCP5A8/ub2aIMMtOOBXVH3D7eXLGLlxbtoOSwG4Cu8S5+fHZfrhrXm3hXBEQER0pgyVPw+cvgq7HW+pwN0x+ArHFhLU06nwj4L0JERERERETkFGxttPOpcGnLp2c2xjDAGQeEtmm+0x7F2Jwklm0pa+7IAcbmJOG0R1FW5WHO0p3MXrKT8movAD2TY7hxSj++MzqTaIctpLW2SFUpLP0TrHgBvNZRUTLHwrT7od+U8NYmnZZCMxEREREREYls9hiI7gI1h0L7vtWl1q4wZwRMhWyG7skuxg9KZkVe+Sl3nNmiDMbmJBFlg5kfbeb1Zbuo9Fj9wPp2jePmqdl8Y0RPnPao9iq9cTXlsOw5WP4cuK0hBPQYCdMegP7nhDbQFAmSQjMRERERERGJTN7qY33CQh2YHeX3EOpdYW2pe7KLC3K7UlhSw/biqnrDAeJcNrLTY7E7TJ5b8BV//bwQt8+aNDkoPYFbp/XnomEZ2KIiIIhyH4GVL8CSp6GmzFrrfobVs2zgRQrLJCIoNBMREREREZHIczCv6YmUodBWRz/bkNMeRXZGLP3SY/D4THx+E7vNYPehSp5f8BX/WLsHX+1OtJFZydw2rT/TB3U7aSBAWHir4fNXYPGTUHXAWuuaA1PvhSHfgKgI2P0mUkuhmYiIiIiIiESWg3mwdk7b3ycmxWrU30EZhoHLYZB/oIJn523jww1FHD21OSE7ldum9Wd8dmpkhGU+N6x5DRb+Ho4UW2td+sLUe2DYtyEqAvqqiZxAoZmIiIiIiIhEDm+1tcMMoFkt71sh1EMA2tnagkM8O28b/9u8v27tnEHduHV6f3KzuoSxsuP4vbDuTVj4OJQXWmtJmTDlbjjzSrA5wlufyCkoNBMREREREZHIUbSm7Y9kYlhhTUZuG98n9EzTZFn+QZ6dt40l2w4CVu530bAMbp3anyE9EsNcYa2AH9b/DRb8Dg7ttNbi02HyXZB7DdhdYS1PpDkUmomIiIiIiEhkME0oXIoJBL3/yxEH3sraK0+1Q632nYdfBY6YllQZFqZpMm/rfp6Zu401BWUA2KMMLh/Zk5umZpOdFh/eAo8KBGDTP2D+7+BAnrUW2xXOvhNG/7BDfc5FFJqJiIiIiIhIZPBWQXVp8IEZWIHZGVfC5ndPvVPN5rACs9ScllbZrvwBk482FvHsvO1sLqoArEEA3zsrkxsm96NXlwjpyWaasOU/MH8m7NtorUUnw8SfwJgbwBUhoZ5IEBSaiYiIiIiISEQoOXSYtNa8QVImTLrHOuJZuBSqS489F5Ni9TDrMQrs0a0ttc15/QHeX7uHWQu2k19SCUCc08bV43pz/dl96ZYQIR+DacK2/8Hch6BonbXmSoTxt8K4myE6KazlibSGQjMREREREREJO48vwOodbi5ozZvYnNbxv6yJVkDmrbJ2ndmc1pTMDtD0v8br551VhTy/IJ89ZdUAJMU4mDGhD9dN7ENyrDPMFR4nf4EVlu1eaT12xMHYG2HC/0FsSnhrEwkBhWYiIiIiIiISdgUlNVSbLo4YScSZ5cEf0YxJsYKxowwDnHFAXAirbDuVbh9vrNjFS4t2UHLYDUDXeBc/OrsvV4/rTbwrgn5837UM5j0MOxdZj+3RcNaPYOIdEN+qvYIiESWC/qsTERERERGRzsg0TfKLq8AwyHeMYJhnQXDXA0bmhA6xk+xE5VVe5izdyeylOyir8gLQMzmGG6f04zujM4l22MJc4XH2rIa5D8P2z6zHUQ4YfR1MuhMSM8Jbm0gbUGgmIiIiIiIiYeXxmVS6/QAUOAYzxLMUG95m7TYzAaKckJHbliWG3P6KGl5ZvIPXl++i0mN97H27xnHz1Gy+MaInTntUmCs8TvEGmPcIbP3QemzYYOTVMPnnkJwZ3tpE2pBCMxEREREREQkrn9+s+/9eI5oV0V9nfM0/AfOUwZlZ+wrP4CuJdsS0dZkhsetgJS8szOfvq3bj8QcAGJSewK3T+nPRsAxsURG0W27/Fmsa5qb3rcdGFAz/Lky5G1L6hbU0kfag0ExERERERETCym6rHxTtt/dhWfRljK35DzasI4vHv+JoxObHwYroixndNad9Cm2FzUUVzJq/nQ/W7yVQ+wGM7t2FW6ZlM21gN4xIOlp6cDsseBTW/426z/bQK2DqvZAW+Z9rkVBRaCYiIiIiIiJh5bQbxLlsdUc0wQrOPo67nkzvZrK964g3y+ueqzSS2O4YQYFjCK7oWJz2CAqcTrBqZynPzd/O3C3769am5KRx67T+jOkbYRMmywpgwWOw7k0wa38vBl1shWXpZ4S3NpEwUGgmIiIiIiIiYWUYBv3SY9mw63C9da8RTb5zJPmOETipwW568BlOPETXNf0fkh4bWbu0sAYbLMgr4bl521m5sxSwyr1oWAY3T8nmjJ5JYa7wBBV7YeHvYc1rELB29jHgPJh2H/QYGd7aRMJIoZmIiIiIiEgomCZ4q8DvsaYKghVA2JzgiO2Qkx3bU1ZaNJsKj+APmCc/aRh4iMFj1O9bZosyyEyLbqcKm+YPmHy0sYhZ87fz5d4KABw2g2/m9uLGKdn07RoX5gpPcGQ/LH4SPn8F/G5rre8UmP4AZI4Jb20iEUChmYiIiIiISGt4q6FoDRQuherShl8TkwKZE6wJj5HSsP74kC8Cgj2nPYqxOUks21JGA7HZSQxgbE5SREyZdPv8/GPNHl5YmM+OA5UAxDptfH9MFj86ux/pSZET7AFQVQpL/ggrX7S+BgCyxsO0+6Hv2eGtTSSCKDQTERERERFpqYN5sP4NK3g6lepSyPsAtn8Kw6+C1DA2U28s5IuAYK97sovxg5JZkVfe8I6zWrYog7E5SXRPdrVjdSerdPt4a2UBLy/aQXFFDQBJMQ5mTOjDjAl96BLnDGt9J6kug+XPwbLnwFN7FLZHLky/H7LP0W5IkRMYpmk2J8TvsCoqKkhKSqK8vJzExMRwlyMiIiIiIqeLg3mwdk7tg+b+WFUbSoycEZ7grDkhn80Z9mDP4wtQWFLD9uKqesMB4lw2stNjyUqLxhHGHWZlVR7mLN3JnKU7KauyeoB1T3Tx47P7ceWYLOJcEbY/xX0EVjwPS5+GmtqBCt2HWWFZzgUKy6TTaW5WpNBMREREREQkWN5qWPw78HtpfmB2lAE2B0y6p313dDU75AtzsHcc0zTx+Ex8fhO7zcBpN8La9L+4vIaXF+Xz5soCqjxWmNcnNZabpmRzeW5PXHZb2GprkKcKVr1i9S2rOmitdR1oNfgffClEhf9oq0g4NDcrirD4W0REREREpAMoWtP0kcxGmda1RWsga2JIy2qUt9raYXb0/qdkAob1+vYO9k5gGAYuh4HLEbYSANhxoJIXFmznvTV78PgDAAzOSOSWqdlcNCwDW1SE7dTyuWH1HFj0Bziyz1pL6QdT74UzvglRERbuiUQohWYiIiIiIiLBME2rH1hrFS61eoi1x86poEO+MAR7EejLveXMmr+dDzcUcbTF2pg+Kdw8LZupOWlh3fXWIL8X1r4OC38PFbuttaQsmHI3nHkl2BQBiARD/8WIiIiIiIgEw1vV+JTMYFSXWu/ljGv9e51Ka0K+9gz2IsjKHaU8N38b87eW1K1NH9SNW6ZmM7pPShgra4TfBxv+BgsehUM7rbWEDJh8F4y8BuwRNpBApINQaCYiIiIiIhKMFh/LbOy92jg0a03I117BXgQwTZN5W/fz3LztrNp1CIAoAy4e3oObp2YzOCMCe2QHAvDlezD/d3DwK2stLg0m3Qmjrwvr0VqR04FCMxERERERkWDYQrhrJ5Tv1ZjWhnztEeyFkc8f4MONxTw3bxtbig8D4LRF8c1Rvbhxcj/6dI3Aj900YcsHMO8R2L/JWovpAhPvgDE/7hQhp0h7UGgmIiIiIiISDEcsxKS0/ohmTIr1Xm2ttcFcewR7YVDj9fPemj28sHA7uw5WARDntHHVuN5cP6kv3ROjw1xhA0wTvvovzHsIir6w1lyJMP42GHczREfgbjiRDkyhmYiIiIiISDAMw+rzlfdB696nvXqFtSbka69grx1V1Hh5ffkuZi/ZSclhNwBdYh1cN7Ev14zvTXJsBIaEpgn582Hew7D7c2vNEWcFZRNus3aZiUjIKTQTEREREREJVkYubP/UmlaIGeTFBtgc1nu0h9aEfKfREID9FTW8smQHby4v4LDbB0BGUjQ/OrsfV47JJNYZoT8e71oKcx+GXYutx/Zo6wjmxDsgrmtYSxM53UXonwoiIiIiIiIRzBEDw6+CtXMAg+YHZ7UB1PCr2rdJe9AhXzsHe20ov+QILy7M5701e/D4AwAM6BbPjVOyufTMHjjtUWGusBG7V1vHMLfPtR7bnDDqOjj7TkhID29tIp2EQjMREREREZGWSM2BkTNg/RvNb7Zvc1iBWWpOm5Z2kqBCvjAFeyG2rrCM5+dv55NNxZi1H+7o3l24aUo20wd1IyoqQnfQFa23GvznfWQ9jrLDyKth8s8hqVd4axPpZAzTNIPdS9yhVFRUkJSURHl5OYmJaoooIiIiIiIh5q2GojVQuLTxvmExKdZRxx6jrON14XIwr+mQz+YMT7AXAqZpsvCrAzw/fzvL8g/WrX9tcDdumpLN6D4pYayuCfs3W2HZ5n9Zj40oGP49mHI3pPQNb20ip5nmZkUKzURERERERELBNMFbZQVSNqf1OOC1/r8jNnJ6gzUW8kVKsNcCPn+A/2wo4oUF+WwqqgDAHmVw6Yge3DQlm5zuCWGu8BQObof5M2HD37F2ABpwxhUw9V7oOiDc1YmclpqbFel4poiIiIiISCgYBjjjgLhwV3JqjhjImmgFZMeHfJEU7DVTtcfPO6sLeWlRPoWl1QDEOm1876wsrj+7Lz2TI/h46aFdsOAx+OItMP3W2uBLYOp90H1IeGsTEUChmYiIiIiISOfUUUK+BpRVefjLsl3MWbqTg5XWUdOUOCczJvThmvG9SY51hrnCUyjfA4t+D2v+Yu1EBBhwPky7D3qMCGtpIlKfQjMREREREZFwOfFIZwfc7RVqpmni8Zn4/CZ2m4HTbmDUfk72llXzyuIdvLWygCqPtTurV5cYbpjcj2+PyiTGaQtn6ad2eB8sfhJW/Rn8bmut31SYdj9kjglraSLSMIVmIiIiIiIi7a2pvmIZuR16cmVLeHwBCkpqyC+uotLtr1uPc9mwOUw++HIP//5iL76A1ZZ7cEYiN03px9eHZWC3RYWr7KZVHoSlf4QVL4LPOkJK1gSYfj/0mRTe2kTklBSaiYiIiIiItKdTTbCsLoW8D2D7px12gmVL7CtzsyKvHH+g/py6HQePMPerYjYWl9WtjeuXwk1TspmSk1a3Ay0iVZfBsmdg+SzwHLHWeo6C6Q9Av2mdfkehSEeg0ExERERERKS9HMyDtXOafp3fa71u5IzTPjjbV+Zm2ZYyjsZlAdNk875yPvuqmB0HrbDJAIZlJHNOTjrfG9+L7smusNXbJPdhWP48LPsT1JRba+nDYNoDkHO+wjKRDkShmYiIiIiISHvwVls7zAAwT/lS63nDev2ke07bo5oeX4AVeeWYgD8QYM3uUuZ+VUzx4RoAbFEGZ2WmMq1/Ot0SogFYkVfOBbldcdoj7Eimpwo+fwkWP3XsyG3aYJh2Lwy6BKIirF4RaZJCMxERERERkfZQtKbhI5mNMq3XF62BrIltVlY4FZTUUOn2sWxnCQvz91FWbU2TdNmjmNAnjSnZ3UmKqT8J0x8wKSypITsjNhwln8xbA6vnwKI/QOV+ay0lG6beC2dcAVERPJxARE5JoZmIiIiIiEhbM02r6X9LFC61hgO08bG+U02tbAvF5dU8/skWFmzbT43Pavyf4LIzObs7E/ukEeNs/MfV7cVV9EuPCW9PM58H1r0OC38PFXusteQsmHIPDP8u2PTjtkhHp/+KRURERERE2pq3qv6UzGBUl1rXO+NCW1OtU02t7JceS1ZadEiPQubtO8yLC/P557o9eP3WMdVu8dFM69+d0ZmpzZqEWen24/GZuBxhCM38Plj/Niz4HZQVWGsJPWDKz2HE1WB3nvp6EekwFJqJiIiIiIi0taCOZTZ2fehDs8amVoIVTG3YdZhNhUcYm5PUqub7pmmyPL+UFxduZ97Wkrr1fqnxTOufzpD0JKKC3DXm85u4HC0uKXgBP2x8zwrLDm6z1uK6wdk/g1EzwBHdjsWISHtQaCYiIiIiItLWbK3cfdTa6xtw4tTKxvgDJsu2lDF+UHLQwZnPH+DjL4t5cWE+63dbkyQNAy4Yms51E/qyZ7+3hdWD3dZOu8xMEzb/G+Y9AiWbrbWYFJh0B5z1Y3BGSG81EQk5hWYiIiIiIiJtzRFrBS0tOaIZk2JdH0LHT61sDpPgplZWeXz87fNCXlmyg8LSasBq7v/t0b340aR+9Okah2malJUfrHcktLniXDac9jYOzUwT8j6BeQ9D8XprzZUEE/4Pxt0EroS2vb+IhJ1CMxERERERkbZmGFYz/7wPgr+2DYYAFJTUNHgk81SaM7XywBE3ry7dyV+W76KsytpF1iXWwTXj+3DN+N6kxh/bqWYYBv3SY9mw63DQ9Wenx7bdEADThPx5MPdh2LPKWnPGw7ibYfytENOlbe4rIhFHoZmIiIiIiEh7yMjF3PYpBDw0L+4xwOaAjNyQlmGaJvnFVS26trGplfklR3hp0Q7eXbMbjy8AQO/UWH50dj++lduLGKetwTrSk518WQDB5He2KIPMtDbqH7ZzCcx9CApqJ53aY2DsDTDhJxCX2jb3FJGIpdBMRERERESkHeyrjCI/+uuMrXofMJsIzmqfHX4VOGJCWofHZ7boSCScPLVy9a5SXliQz38378OsDb5GZCZz4+R+nDc0HVvUyR9lY9M6m8MAxuYkhXSaJwCFn8O8hyB/vvXY5oTRP4RJd0JC99DeS0Q6DIVmIiIiIiIibayu6X5Ub5ZFX8bYmv9gwzq+eHysdHTDlRllJ+rMqyE1J+S1+PzBHcs8kccbYH7efl5cmM/qXYfq1r82uBs3TM7mrD5dGj06eappnU2xRRmtnuJ5kr3rrAb/X31iPY6yQ+41cPZdkNQzdPcRkQ5JoZmIiIiIiEQE0zTx+Ex8fhO7zcBpN9qub1U7OrHp/n57Hz6Ou55M72ayveuIN8vrXltpJLHdMYI9rqF8LaknoZ+Z2fKpk15/gM8LD/LHRZvZebASAKctistH9uTHk/vSv9upG+M3d1rnieJcNrLTY8lKi8YRqh1m+zbB/EesqZgARhSc+X2Y8nPo0ic09xCRDk+hmYiIiIiIhFVjx/XiXDb61YYlIT+O144aarrvNaLJd44k3zECJzXYTQ8+w4mHaKvpv0mTTfdbymk3iHPZmn00stLjY8mO/SzK388Rtw+AxGg7V4/rzYwJfeiW2HR/sWCndQLYomD6sFTiom2hC08PbIP5M2Hju1j7+gwY9i2Ycg907R+ae4jIaUOhmYiIiIiIhM2pjutVuv1s2HWYTYVHQn8sr5002XTfMPAQg8c4uW9ZY033W6u5Uyv3H6lh4fZ9rCw4iNdvNffvluDixinZfPesTOJdzf9xsmXTOmFfmSc0weGhnbDgMfjiLTCtj4XBl8K0+6Db4Na/v4iclhSaiYiIiIhIWDT3uJ4/YLJsSxnjByV3uOAslE33QykrLZpNhUdOCrJM02T7wSPM31bMpuJjO8N6JsVyTk46v7h4AHFBhGVH3zPU0zqbrXw3LHwc1r4OAWuXHDkXWGFZxpkte08R6TQUmomIiIiISLsL9rieCazIK+eC3K4d6qhma5vu+/wmLkeIijmO0x7F2JykutDSHwiwbs8h5m/bx+7yYwHX0PQkpmZ3p3/XBCYM7hJ0YAZhCg4PF8OiJ2D1bPB7rLV+02D6A9BrdItqEZHOR6GZiIiIiIi0u5Yd1zPbrM9XW2lp0/1QXX8q3ZNdDO0Tx9P/3c7C7fsor7GmeTpsUYzJSmVyv+50S4hu9dTKdg0OKw/Akqdg5cvgq7bWek+0wrLeE1pVh4h0PgrNRERERESkXYX1uF47C7bp/vHiXDac9rb5OHcdrGT2kp38bVUhVR6rtsRoB5P6pjG+TxrxLkfIpla2S3BYfQiWPgMrngfPEWut11kw7X7oN9UariAiEiSFZiIiIiIi0q4itc9XW2hu0/2GZKfHhjQcNE2TVbsO8fKifD7dtA+zdgPYoPQEfnR2Py4eno5BFD6/id1m4LQbIbl/mwaHNRVWULb0GXCXW2vpw62dZQPOU1gmIq2i0ExERERERNpVpPb5aiuNNd0/FVuUQWZadEju7/MH+GhjMS8vyueL3eV161MHpvHjs/sxITu1XjgW6s9tmwSHnkpY+ZJ1FLP6kLXWbYjV4H/QxQrLRCQkFJqJiIiIiEi7iuQ+X23hxKb7TTGAsTlJrR54UFHj5e2VhcxZupM9ZdV1tXwztyc/nNiXAd0TWvX+wQhZcOitgVV/hsVPQGWJtZbaH6beC0OvgKiOMyRCRCKfQjMREREREWlX7dnnyzRNPD6z/pFDAG+VNVXR5gRHbJvvTOqe7GL8oGRW5JWfMjhqbdN9gMLSKuYs3cnbnxdyxO0DIDXOyQ/G9+bqcb3pGt/y926pVgeHPg+sfQ0W/gEO77XWknvD1Htg2HfAph9tRST09CeLiIiIiIi0q/bo8+XxBSgoqSG/uKounHOYNfQ3t9LPuw6n99CxF8ekQOYEyMgFR0zQNTXlaHAXH21n+rAUig+5yd9XXS80DEXT/TUFh3hl0Q4+2ljE0VxuQLd4fnR2Xy4b0ZNohy0UH06LtSg49Pvgi7dg4WNQVmC9ILEnTP45jLwabB3onK6IdDgKzUREREREpN21ZZ+vfWXuk4KZbr6djK35Dza8J19QXQp5H8D2T2H4VZCa0+yaTqWh4A6sgKxfegzpyS4Mw2hV031/wOSTL61+ZWsKyurWzx7QlR+d3Y/JA7pG1KTR7skuLsjtSmFJDdsb+LzUBYdRJqz/G8z/HZRut14Q3x3O/hnkXguO0PR7ExE5FcM0zdZ14YxwFRUVJCUlUV5eTmJiYrjLERERERGRWvvK3EEd1xs/KLnJY4sNvWc3307G1/wTA5NTx0e1z46c0ergrKHg7kStOYp5uMbLO6t2M3vpDgpLa/uV2aK4bEQPrj+7L4PSI/9nnwaPzpombP4XzJ8JJVusF8amwsQ74KwfgTM2rDWLyOmhuVmRdpqJiIiIiEhYtLrPl2nW603mMaJZkVdeLzBzmDWMrflPMwIzABMwYP0bMOmeFh/VbG4Y6A+YLNtS1qww8KhdByuZs3Qn76zaXdevrEusgx+M683V43vTLaHj7MAyDAOXw7CmdZom5H0Mcx+GfRusF0QnwYTbYeyN4Gq/oQUiIkcpNBMRERERkbBp9nG94/t8eauhaA0ULrWOVh7l6EIfYzgFjsF4DSs8yvJuxoa3GYHZUaYVwhWtgayJQX88Hl/gpOCuibuxIq+cC3K7Njot0zRNlm4/yOwlO/hsy36OnhXqlxbH9ZP6csXIXsQ4w9uvrMVME7Z/BvMegT2rrTVnAoy/BcbdAjHJYS1PRDo3hWYiIiIiIhJWTnsU2Rmx9EuPOfm43on9uA7mWTvB/J6T3sfhPcQwFjDEs5QV0V9nv603/bzrWlZU4VJrOECQ/cAKSmqC6tMG1o6zwpIasjPqHz2s9vh5f90e5izZydZ9x4YmTB2YxnUT+3J2/65ERUVOv7Kg7VwMcx+CgmXWY0csjLkBJv4EYlPCW5uICArNREREREQkQtQ7rteQg3mwdk7j19f+asPL+Jp/8rnrAuLN8pYVU11qHf10xjX7EtM0yS+uatHtthdX0S89BsMwKCqv5rVlu3hrZQFlVdbgglinjW+N6sW1E/qQnRbfontEjMKVVli2Y4H12OaCs66HST+F+G7hrU1E5DgKzUREREREJPJ5q60dZgBNHH40al8zyv3f1t3T7wGaH5p5fGa946XBOFLjY3l+Ka+v2MXHG4vrdqv16hLDjAl9+PboTJJiGksTO4i9a61jmF99aj2OckDuNTD5LkjsEd7aREQaoNBMREREREQiX9GaBo9kNsYAbPhad0+bM6iX+/zBHcsE8AUCrNtziIXb91FYdmyX2rh+KVw3sS9fG9wdW0c+ggmw70srLNvygfXYsMGIK2Hy3dCld3hrExE5BYVmIiIiIiIS2UzT6jHWAgGiMAgEMQigVkyK1WMrCHZb8+9y2O1l6Y4Sluwo4bDbOoLptEdxyfAefH9MFmf0TGq4p1tHUpIH82fCl/+gbjLp8O/AlF9Aana4qxMRaZJCMxERERERiWzeqvpTMpvJAAwCzZ5kWU8LhgA47QZxLtspj2juLqti4fZ9rNlTWncEMynaweTsbkzJ7oYtykZBsYeC4hLiXDb61U4PbWyyZkQqzYcFj8H6t8EMWGtDvgFT74Vug8JamohIMBSaiYiIiIhIZAviWGaDl2PHhq+Zu80MsDkgIzfo+xiGQb/0WDbsOlxv3R8w2VhUxsL8feQfPFK33rtLHJOzu3Fmjy7Yok4OxSrdfjbsOsymwiOMzUmie7Ir6JraVVkhLHwc1r0BgdqjsQMvssKyjOHhrU1EpAUUmomIiIiIdEKmaeLxmfj8JnabEdlHAYPsLXai1a7zOMv9EWA2EZzVPjv8KnDEtOheWWnRbCo8gj9gUuXxsXzXARbn7+dQtRX8RRkGI3p2YXK/bvROad4UTH/AZNmWMsYPSo7M4OxwMSz6A6yecyzgzD4Hpt0PvUaFtTQRkdZQaCYiIiIi0ol4fAEKSmrIL66qd4wwoo8COmKtHmNBHtE0gUojib32ASwznIyt+Q82rP5hDYZnNocVmKXmtLhUpz2Kbil2nv7fNlYVHsTjt44nxjntTOiTxoS+aSTHBB8CmsCKvHIuyO0aOb8/lQdg8ZPw+cvgq7HWek+C6Q9A7/HhrU1EJAQUmomIiIiIdBL7ytysyCuv66V1vIg+CmgYVo+xvA+CvnR3TC4YBvvtffg47nr6m1vJ9q7D4T107EUxKdb79xgF9ugWlejzB/hsy35eW7aTJdsO1q33SIxhcnZ3RvZKwWlrXdjlD5gUltSQnRHcgIKQqyqFZc/A8ufBW2mt9RoD0++HvlOC7gUnIhKpFJqJiIiIiHQC+8rcLNtS1mRT/Ig9CpiRC9s/Bb8XmtXa38CwORg4ehJ9jejjjqFmYXCuNVzA77GOfjpiWxz0HDzi5q+fF/LG8l3sLbd2W0UZ8LXB3fnBuN5kxMeSv6/6hF19UXh9Jh5/8CMKthdX0S89JjxHaWsqYPlzsOxZcFdYaxkjrJ1l/b+msExETjsKzURERERETnMeX4AVeeXNniIZkUcBHTHW0cm1c7AOV57qoznWm8xwxuICXI4TXuKMA+JaXM66wjJeW7qTD9YX1R3BTIlz8t2zMrlqbBa9uhzbDZadEVuvf5xpmny05kCL7lvp9uPxmbgc7RhQeSphxQuw9Gmort2h120oTLsPBn1dYZmInLYUmomIiIiInOYKSmoaPJJ5KhFzFPB4qTkwcgasf+PUEzVD0JusITVePx+sL+K1ZTtZv7u8bv3MzGSuGdebrw/PINphO+k6wzBwOYy64K6yxn/Sa4Lh85snh4BtwVsNq/5s9S2rLLHWUgfAtHthyOXQwMRPEZHTiUIzEREREZHTmGma5BdXtejasB4FbExqDky6B4rWQOHS+sMBQtCbrCGFpVW8saKAtz8v4FCVNUjAaY/i4uEZXDO+DyMyk4N6P7utdZ/P1l7fJJ8b1rxmTcQ8XGStdekDU+6BYd8Gm36MFJHOQX/aiYiIiIicxjw+s14/rWCE5ShgczhiIGuiFZCFqDfZiQIBk8XbDvDasl18tmUfZu1GvZ7JMVw9rjffPSuTlLhTTME0zUZrc9oN4ly2Fv2+xLlsOO1t9Pvh98IXb8GCx6C80FpL7AVT7oYR37d28ImIdCIKzURERERETmO+FjSbP/H6djkK2BKG0ereZCeqqPHy7urd/GXZLvIPVNatnz2gKz8Y15tzBnfHFnWK0MpbfepdcBm5GI4Y+qXHsmHX4aDry06PDf3Ov4AfNvwd5s+EQzustfh0mHwX5F4D9ggaCCEi0o4UmomIiIiInMYi/ihghNhafJjXlu3kH2v3UOWxdoDFu+x8a1Qvrh7Xm/7d4pt+k4N5jfdbqy6FvA+sCaDDryIrrT+bCo8E1WvOFmWQmRa6Y6cEArD5nzBvJhzYaq3FpsKkO+Gs660dfSIinZhCMxERERGR01jEHgWMAF5/gE+/3Mdry3ayYsexXWE53eP5wfg+XD6yJ/GuZv7IdDCvdrJnE/xeWDsH58gZjM3pzbItZc2aamoAY3OSQjPN1DRh64cw7xHYt9Fai06GibfDmBvB1YyAUESkE1BoJiIiIiJyGjMMI7KOAkaA3Yeq+OvKQt5eVUjJYTdg7eI6b0h3rhnfh3H9UoL7uL3V1g4zgCYjMBMwYP0bdJ90D+MHJbMir/yUO85sUQZjc5LontzKY5KmCds+g3kPwd611pozAcbfCuNvgeik1r2/iMhpJqJDM5/Px69//WveeOMNiouLycjIYMaMGTzwwANEabyxiIiIiEizZKVFh/8oYJj5/AHmbS3hjRW7WJBXUtfYv2u8iyvHZPL9sVlkJLXwOGLRmoaPZDbKtF5ftIbuWRO5ILcrhSU1bC+uqrcjMM5lIzs9lqy0aByt3WG2YyHMfRgKl1uPHbEw9kaYcDvEprTuvUVETlMRHZo9+uijPP/887z66qsMHTqUVatWcd1115GUlMRPfvKTcJcnIiIiItIhOO1RjM1JCs9RwDArKq/m7c8LefvzQorKa+rWJ/ZP5aqxvfna4O6t+zhN02r63xKFSyFzAk57FNkZsfRLj8HjM/H5Tew2A6fdaP1Ov4LlMPch2LnIemyPhrN+BBPvgPi01r23iMhpLqJDs2XLlnHZZZfx9a9/HYA+ffrw1ltvsWrVqjBXJiIiIiLSsXRPdrXvUcAw8gdMFn5VwpsrCvhs8z6OfrhdYh18Z3Qm3xuTRd+uIZq46a2qPyUzGNWl1vVOqxbDMHA5jNBMK92zBuY9DNv+Zz2OcsCoGXD2zyAxIwQ3EBE5/UV0aDZp0iSef/558vLyyMnJ4YsvvmDx4sU89dRT4S5NRERERKTD6Z7sap+jgGGy/3AN76zazVsrC9h9qLpufUzfFK4am8UFZ6TjsttCe9OgjmU2dn2IAjyA4o1Wg/+t/7EeGzYYeRVM/jkkZ4XuPiIinUBEh2a/+MUvKC8vZ9CgQdhsNvx+Pw8//DBXXnllo9e43W7cbnfd44qKivYoVURERESkQ2jTo4BhEAiYLMs/yBsrdvHpl/vw1W4rS4y2881RvbhqbBb9uyW0XQE2Z3ivP6pkK8yfCV/+w3psRMGw78CUuyE1OzT3EBHpZCI6NHv77bd5/fXXefPNNxk6dCjr1q3jjjvuoEePHlx77bUNXjNz5kx+85vftHOlIiIiIiIdS0iPAobBwSNu/r7a2lW282BV3XpuVjLfH9ubi4dnEO0I8a6yhjhiISalZUc0Y1Ks61vj4HZY8Bhs+BuYAWtt6OUw9V5IG9i69xYR6eQM0zSbP0KnnWVmZnLPPfdw66231q099NBDvP7662zZsqXBaxraaZaZmUl5eTmJiYltXrOIiIiIiLQN0zRZsaOUN1cU8PHGYjx+KySKd9m5fGRPvj82i8EZYfg7f8ESyPsg+OtyLoasiS27Z1kBLHwc1r4BZu0x24Ffh2n3Qvqwlr2niEgnUVFRQVJSUpNZUUTvNKuqqiIqqn4/BZvNRiAQaPQal8uFy9Vxm5aKiIiIiEh9ZVUe3l2zhzdX7GJ7SWXd+vBeSXx/TBaXnNmDOFcYf7TJyIXtn4LfC82dT2pzWNcFq6IIFv0eVr8KAa+11v9cmHYf9GzB+4mISKMiOjS75JJLePjhh8nKymLo0KGsXbuWJ554gh/+8IfhLk1ERERERNqQaZqsKSjjjRW7+M/6Itw+6x/OY502LhvRg++P6c2wXklhrrKWIwaGXwVr5wAGpw7OavvGDb/Kuq65jpTA4idh1Svgq7HW+k6GaQ9A1tiW1S0iIqcU0cczDx8+zC9/+Uv+8Y9/sH//fnr06MGVV17Jr371K5zO5jXMbO6WOxERERERCb/yai//XLeHN1cUsKX4cN36oPQErhrXm2+M6EFCdIQ2YjuYB+vfOPVETZvTCsxSc5r3nlWlsPRpWPECeGt7t2WOg+n3W6GZiIgErblZUUSHZqGg0ExEREREJLKZpsny/FL+tqqQDzcc21XmskdxyZk9+P7YLEZmJneM6Z7eaihaA4VL6w8HiEmBzAnQYxTYo5t+n5pyWPYcLH8O3BXWWo+R1s6y/udAR/hciIhEqNOip5mIiIiIiJy+9lXU8PfVu/nbqkJ2HTcBc2D3BL57VibfzO1FUmyE7iprjCPGau6fOcHaGeb3WLvLHLHNC7rcR2DlC7Dkaagps9a6nwHT7oeBFyosExFpRwrNRERERESk3Xj9AeZu2c/fPi9k3tb9BGrPvcQ5bVw6ogffGZ3JiI6yq+xUDAOccUBc817vrYbPX7H6llUdsNa65sDUe2HIN+CEAWkiItL2FJqJiIiIiEib215yhL+tKuTd1Xs4cMRdtz66dxe+e1YmXx+eQayzE/544nNbkzAX/QGOFFtrXfpaYdmwb0GULbz1iYh0Yp3wu5KIiIiIiLSHKo+PDzcU8/bnBXy+81Ddetd4J9/M7cW3R2fSv1t8GCsMI78X1r0BCx6Hit3WWlImTLkbzrwSbB3sWKqIyGlIoZmIiIiIiISMaZqs313OXz8v5N9f7OWI2wdAlAFTB3bjO6MzOWdwNxy2TnrcMOCH9X+DBb+DQzuttYQMOPtnkHsN2F1hLU9ERI5RaCYiIiIiIq22v6KGf6zdw7trdpO370jdelZKLN8Z3YtvjcokPakZUyNPV4EAbPoHzP8dHMiz1uLSYNJPYfQPrQECIiISURSaiYiIiIhIi9R4/fx30z7eXbObhXkldU39nfYoLjwjne+elcm4vqlERXXwpv6tYZqw5T8w7xHY/6W1Fp0Mk+6AMTfUDgsQEZFIpNBMRERERESazTRN1haW8ffVu/ngi71U1PjqnsvNSuZbo6ym/kkxnbwnl2nCtv/B3IegaJ215kqE8bfCuJshOims5YmISNMUmomIiIiISJP2llVbxy9X7yb/QGXdeo+kaK7I7cUVuT3pl9ZJm/qfKH+BFZbtXmk9dsTBuJtg/G0QmxLe2kREpNkUmomIiIiISIOqPX4++bKYv6/ezZLtBzBrj19GO6K48IwMvjWqF+P7dfLjl8fbtQzmPQw7F1mP7dFw1o+svmVxXcNbm4iIBE2hmYiIiIhIGzJNE5/Hj98fwGaLwu60YRiRGzKZpsnnOw/x99WFfLihuG76JcCYvil8a1QvLhqWQbxLP0rU2bMa5j4M2z+zHtucMGoGTLoTEjPCWpqIiLScvtOJiIiIiLQBn9fP/oIyivJLcVd569ZdsQ4y+qXQLSsZu8MWxgrrKyyt4r011vTLgtKquvXMlBiuGNmLb+b2Iis1NowVRqDiDVaD/60fWo+j7DDiKpj8c0jODG9tIiLSagrNRERERERC7ND+I2xdWUjAb570nLvKy86N+yjYvJ+BYzLp0i18fcDKqjx8uKGYf67bw4odpXXrcU4bFw2zjl+e1SdFxy9PtH8LzH8ENv3TemxEwfDvwpS7IaVfeGsTEZGQUWgmIiIiIhJCh/YfYfPyAjg5L6sn4DfZvLyAweOy2jU4q/b4+d/mffxz3V4W5O3HWxvsGQZMyE7lm7m9uOCMdGKd+lHhJAe3w/zfwYZ3qPsNHnoFTL0X0nLCWpqIiISevhOKiIiIiISIz+tn68rCJgOzOiZsXVnI6PNz2vSops8fYPG2A/xr3V4++bKYSo+/7rlB6QlcNqInl47oQc/kmDaroUM7tAsWPgbr3gKz9nM36GKYdh90Hxre2kREpM0oNBMRERERCZH9BWUNHsk8lYDfpKSgjIzs1JDWYpomawrK+Ne6PXywvoiDlZ6653p1ieGyET249MyeDExPCOl9TysVe2Hh72HNaxCo7Us34DwrLOsxMry1iYhIm1NoJiIiIiISAqZpUpRf2vQLG7A3v5T0fikhmar51b7D/HPdXv75xR4KS6vr1lPinFw8PIPLRvQgN6tLRE/wDLsj+2Hxk/D5K+B3W2t9p8D0ByBzTHhrExGRdqPQTEREREQkBHwef70pmcFwV3nxef04WthHbG9ZNf/+Yi//XLeXTUUVdeuxThvnD03n0hE9mNS/Kw5bVIvev9OoKoUlf4SVL4K3doJo1niYdj/0PTu8tYmISLtTaCYiIiIiEgJ+f6B11/sCOJzNf/3xky9X7izFrD0Vao8ymDowjUtH9ORrg7upoX9zVJfBsmdh+SzwHLbWeuRaO8uyp1tTEkREpNPRd1ARERERkRCwtXIXl83e9PXHJl/uYUFeSd3kS4AxfVO4bEQPLjojgy5xQaRvnZn7MKx4Hpb+CWrKrbXuw2D6/ZBzgcIyEZFOTqGZiIiIiEgI2J02XLGOFh3RdMU6Gp2e6fb5WfzVAf6zvuikyZeDMxL5xogeXHJmD3po8mXzearg85dhyVNQddBaSxsEU++FwZdClI6xioiIQjMRERERkZAwDIOMfins3Lgv6Gt7nDAEoNrjZ0Hefj7aWMzczfs57PbVPZeZEsNlZ/bk0hE9yOmuyZdB8blh9RxY9Ac4Uvv7lNLPCsvO+CZENRxciohI56TQTEREREQkRLplJVOweT+B445NNiXKZpCWlcwRt4+5W/bz8cYi5m0podp7bEdZ90QXFwxN59IRPcnNStbky2D5vbD2dVj4OFTssdaSsmDK3XDmlWDTj0UiInIyfXcQEREREQkRu8PGwDGZbF5eAM3IzY74/exLiuHlN9ey8KsSPL5jwwR6dYnhwjPSueCMDEZmJhMVpaCsMaZpUlPpxVvjxxFtIzrOYQWLfh9s+BvM/x2U7bJenNADJt8FI38AdvV+ExGRxik0ExEREREJoS7d4hk8LoutKwsb3HFW4fWzqrSSz0ur+LKiBl/g2Gv6dY3jgjPSufCMDM7omagdZU1wV3nZsqyY9fN3U1FSXbeemOZi8pCNZO5/gahD263FuDQ4+2cw6jpwRIepYhER6UgUmomIiIiIhFiXbvGMPj+HkoIy9uaXUlxWzeelVaw8WMmWihoCx712YPcELjgjnYuGZZDTPV5BWTMVfHmQj17ciM/tP27VpK9rBWMDb5G6tQAAvzMZ2+SfwpgfgzMuPMWKiEiHpNBMRERERKQNFB9x8/Hecj7eVsLqgkOYx206O6NnIheekcEFZ6STnRYfviI7qIIvD/LBs18c9zk16e1azZj4t+jmyAfAHYhlXdVlrK++mPO7jCdLgZmIiARJoZmIiIiISIjsPFDJRxuL+WhjEet3l9d7LjcruS4oy0yJDVOFHZ+7ystHL260AjPTpJdzPWPj3yTdmQeAJxDN+qqLWVd5GW4zHgz46MWNzJg5AVesI7zFi4hIh6LQTERERESkFb7ad5iPNhbz4YYithQfrluPMuCsPilceEY655+RTkZSTBirPH1sWVaMz+0nw7GJsQlv0tP5JQBe08mGyotYW3k5NWbisQtM8Ln9bFlezJnTM8NUtYiIdEQKzUREREREgmCaJpuKKvhog7WjbHtJZd1ztiiDCdmpXHBGOucNSSctwRXGSk8/pmmyd/7/uKTLbLJcXwDgN+18WXU+qyuvoCqQ0ui16+ftZvi0XuoZ1x5ME2pqwOcFuwOio0GfdxHpgBSaiYiIiIg0weMLsGpXKfO3lvDxxmIKSqvqnnPaopg0oCsXnpHOuUO6kxzrDGOlp7GiLwj89yEutH0KNvCbNjZXn8PqI9/mSKBrk5dXlFTjrvQRHa8jmm2mpgY2fQmbN8GRI8fWExPhjGGQMxBcCpJFpONQaCYiIiIi0oC9ZdXM31rC/K37Wbr9IEfcvrrnoh1RTMlJ46JhGUwb1I3EaAUxbWb/Zpj3CGz+FzYgYEaxtXoqqyq/TYU/Pai38tQoNGsTbjesWG6FZQ2pqIClS2DlCjjvfMjMat/6RERaSKGZiIiIiAjg9vlZtfMQ87fuZ/7WEr7af6Te813jnUwekMbXhnRn6sA0Yp36q3SbOrANFvwONvwdMAED36DLeXvRdMr8PVv0ls5o/Z6FXGEBfPwRBAJNv9bng48+hAsvUnAmIh2CvmuIiIiISKdVWFrFgrwS5m8tYen2A1R5/HXPRRkwMqsLU3PSmDqwG0N7JBIVpb5Mbe7QTljwOHzxFpi1vx+DL4Gp92HrNpjAl8uhpDrot01Mi8EVpx9/QqqwAD78T3DXmCZ8+glcfY2OaopIxNN3DRERERHpNNw+Pyt3lNYduzy+iT9AWoKLKTlpTB2YxqT+XdWfrD2V74GFj8Pav0Cg9ijsgPNh2n3QYwQABjB8ai8Wv/NV0G+vIQAh5nZb4VdL+HyQtxWGDQ9tTSIiIabQTEREREROawUHq5ifZx25XLb9INXeY7vJbFEGo7K6MGVgGlNy0hiSod1k7e7wPlj8BKyaDX63tdZvKkx7ADLPOunlg8ans/xf+fg8fuvUZlMMsDttDBoXXP8zaULeViv8aqmNG6zhAAoyRSSCKTQTERERkdNKjdfP8vyDzN9awsK8EvIP1N9N1i3BxdSB1pHLif27khSjxvBhUXkQljwFK18CX+1xy6wJMP0B6DOx0ctcsQ4uvOEMPnj2CyszO1VwZliZzIU3noErVr/PIWOaVujVGhUV1m616OjQ1CQi0gYUmomIiIhIh7fzQKXVwD+vhOX5B6nxHmtKbo8yGNXb2k02NacbgzMSdEwvnKrLYNkzsHwWeGqHLfQcDdPvh37TmrXzKGtoKhffeiYfvbgRn9vf6OvsThsX3ngGWUNSQ1S8AFBTY4VereX1KDQTkYim0ExEREREOpxqz9HdZFZQtutgVb3n0xOja3eTpTGhf1cSo7XLKOzch2H587D0T+Aut9bSh8O0+yHn/KCP6WUNTWXGzAlsWV7M+nm7qThuOEBiWgzDp/Vi0PgMXDH6kSfkfN7QvI9DPQNFJLLpO4iIiIiIRDzTNMk/UMn8rSUsqN1N5vEd203msBmM7p3C1IFpTBmYxsDu2k0WMTxV8PlLsPgpqC611tIGWw3+B10MUVEtfmtXrIMzp2cyfFov3JU+PDU+nNF2XHF2/f63JXsIQujERE3PFJGIp9BMRERERCJSlcfHsu1Wb7L5efspLK2u93yPpGimDOzG1IFpTOzflXiX/mobUbw1sHo2LHoCKvdbaynZVlg29HKIsoXsVoZhEB3vIDpeOwrbRXS0FXq15oimhgCISAegv1mIiIiISEQwTZPtJUeskGxrCSt3lOLx199NNqZvClNzrKCsf7d47SaKRD4PrP0LLPw9HN5rrSVnwZR7YPh3waYfQTo8w7BCr6VLWna93Q45A0Nbk4hIG9B3LBEREREJm5LDbtYUHGJhnhWU7Smrv5usZ3JM3aTLCdmpxGk3WeTy+2D9X2HBo1BWYK0l9oTJd8GIq8Gu/lWnlZyBsHIF+HzBXWcYcN4FOpopIh2C/tYhIiIiIu3C7fPz5d4K1haUsa6wjLUFh9h9qH5I5rRFMbZfClNyrKAsOy1Ou8kiXcAPG9+D+TOhdLu1FtcNzv4ZjJoBDk1HPC25XHDe+fDRh2CazbvGZoPzL4TMzLatTUQkRBSaiYiIiEjImaZJYWk1awsPsbagjLWFZWzeW1HvuCVYm076p8Uzrl8qUwemMT47lVin/oraIQQCsOXfMO8RKNlircWkwKQ74KwfgzM2rOVJO8jMggsvgk8/aXrH2ZChMGasdpiJSIeiv5GIiIiISKsdrvGyfnc5awsO1e4iK+Ngpeek16XEORmZmczIrGRGZHZheGYSidFq3t6hmCbkfQLzHoLiDdZadBJM+D8YexO4EsJbn7SvzCy4+hrI2wobN9QfDhAfD4OHWIFZtHYcikjHo9BMRERERILiD5h8tf+wdcyyoIy1hYf4av+Rk05oOWwGQ3ok1YVkIzO7kJkSo+OWHZVpwva51s6yPausNWc8jLsFxt8KMclhLU/CyOWCYcOt4QBuN3g94HBa6/rvXUQ6MIVmIiIiInJKJYfddT3I1haUsX53GZUe/0mv69UlhhGZyYzM6sLIrGSGZCQS7bCFoWIJuZ1LYO5DULDUemyPgbE3wISfQFxqeGuTyGEY1o4y7SoTkdOEQjMRERERqXN8s/6jRy1PbNYPEOe0MbzX0WOWyYzISqZbgn5QPu0Ufm4dw8yfbz22uWD0D2HSTyGhe1hLExERaWsKzUREREQ6qYaa9W/aW47XX/+cpWHAgG7xjMzswogsKygb0C0BW5SOXZ229q6zjmF+9Yn1OMoOudfA2XdBUs+wliYiItJeFJqJiIiIdBLHN+tfW1DGusKGm/Wnxjlrj1laRy2H90oiQc36O4d9m2D+I7D539ZjwwZnXglTfg5d+oS1NBERkfam0ExERETkNKRm/RKUA1/B/Jmw8T3ABAwY9i2Ycg907R/u6kRERMJCoZmIiIjIaWD/4RrW1e4ea6pZ/8isLnU7ydSsv5Mr3QELHoP1fwUzYK0NuQym3gvdBoe3NhERkTBTaCYiIiLSwdR4rWb9RydanqpZ/5mZyXUTLUdkJpOW4ApDxRJxynfDwsdh7esQ8FlrORfCtHsh48zw1iYiIhIhgg7NPv74Y+Lj45k0aRIAzz77LC+99BJDhgzh2WefpUuXLiEvUkRERKSzakmz/pFZ1jRLNeuXkxwuhkVPwOrZ4K/tZ5c9HabdD71Gh7e2jsg0oaYGfF6wOyA62vqPUUTalWma+Hw+/P6Td1hL52Sz2bDb7a1uN2GY5omdLU5t2LBhPProo1x00UVs2LCBs846izvvvJO5c+cyePBgZs+e3aqCQq2iooKkpCTKy8tJTEwMdzkiIiIip1RR42V9YTnrjgvJShtp1n+0Uf+IzGQ165dTqzwAS56ClS+Dr3ZXYu+JMP0B6D0hrKV1SG435G2FjRugouLYemIinDEMcgaCS7s6RdqDx+OhqKiIqqqqcJciESY2NpaMjAycTudJzzU3Kwp6p9mOHTsYMmQIAO+++y4XX3wxjzzyCGvWrOGiiy4K9u1EREREOi1/wCRv3+G6Y5ZrC8rYVtJws/6hPZLq+pDlZnWhVxc165dmqD4ES5+B5bPAW2mt9TrL2lnWb6p2RbVEYQF8+gn4fCc/V1EBS5fAyhVw3vmQmdX+9Yl0IoFAgB07dmCz2ejRowdOp1PfGwXTNPF4PJSUlLBjxw4GDBhAVFRUi94r6NDM6XTWJbj/+9//uOaaawBISUmh4vh/ZRERERGReo42619baE20bKxZf2ZKDCMyuzAy0zpmqWb9ErSaCljxvBWYucuttYwzYdoDMOBchWUtVVgAH33IScn2iXw+63UXXqTgTKQNeTweAoEAmZmZxMbGhrsciSAxMTE4HA527dqFx+MhOjq6Re8TdGg2adIk7rzzTiZOnMjKlSt5++23AcjLy6NXr14tKkJERESkIzJNE7cvQKXbR5XHT6XH+rXKffT/+zhw2MMXu62JlnvKGm/WPzIrmRGZatYvreSphJUvwpI/WrvMALoNgWn3waCLFZa1httt7TBrbncb07Ref/U1Oqop0sZauotITm+h+LoIOjR75plnuOWWW/j73//OrFmz6NmzJwAfffQRF1xwQasLEhEREWkLPn+ASo+fKo+PSrefas+xYKvS7a/3a5XHb4Vgx4dh7uNCseMeB4LoDmsYkNMtoe6Y5cisLvTvFq9m/dJ63hpY9WdY/ARUllhrqQNg6j0w9ArQD5Stl7e14SOZp+LzWdcNG942NYlIyJimyaEqL5VuH3EuO11iHTrqKcGHZllZWXzwwQcnrT/55JMhKUhEREQ6N9M0qfb6TwiwTg62KmuDrSq3r14YdvS56hMee3yBNq072hFFnNNOrMtm/eq0EeeykxBtZ2iPJEZmJjNMzfol1HweWPsaLPwDHN5rrSX3tsKyYd8BW9B/3ZeGmKbV9L8lNm6whgPoh2+RiFRe7eXd1bt5delOdpUeGybQOyWWayf04ZujepEU07G/d8+YMYOysjLef//9Rl8zdepURowYwVNPPdVudXUEQX8XXbNmDQ6Hg2HDhgHwz3/+k9mzZzNkyBB+/etfNziVQERERE5PHl/gpJDqxF1ZlW5f7a6uBkIv93Gh2NHHXn+zTz+1hD3KqAu06v3qtBNT+2td8HVcABbbQCAW57QR67IT47Bpt5i0L78PvngLFjwG5QXWWmJPmHI3jLgKbB37B7yIU1NTf0pmMCoqrKOdLeynIyJtZ0FeCTe/vprqBvqLFpRW8eAHm/j9p1uZdfUopuSktUkNxcXFPPzww/znP/9hz549dOvWjREjRnDHHXdwzjnnhOQef/zjHzHb8i9Xp7GgQ7Mbb7yRe+65h2HDhpGfn8/3vvc9Lr/8ct555x2qqqqUSoqIiESgQMCkynsspDo+0Dr+15N2ddXt5Dou+DpuZ5fX37Z/ATsaVsW5an+tDaninLaTA67jArATX1v3q9OO065jatKBBfyw8V2YPxNK8621+O5w9s8g91pwKJhpEz5v6673ehSaiUSYBXklXDd7JSbQ0N9mjq5Ve/1cN3sls68bE/LgbOfOnUycOJHk5GQee+wxhg8fjtfr5ZNPPuHWW29ly5YtIblPUlJSSN6nMwo6NMvLy2PEiBEAvPPOO0yePJk333yTJUuW8L3vfU+hmYiISCscbSxf1zergWCrLsCqC7ZO7Ld1fAhW27/Le/K/oIaS0xZVf1fWcSGVFWY1EGQ18Nq617lsRNttRGn3loglEIDN/7LCspLaH6JiU2HST2H09eBsm6lxpmlSU+nFW+PHEW0jOq6T9vixt3LnnkOncUQiSXm1l5tfX20FZk38+59pAgbc/Ppqlt17TkiPat5yyy0YhsHKlSuJi4urWx86dCg//OEPAXjiiSeYPXs2+fn5pKSkcMkll/DYY48RHx8PwJw5c7jjjjt4++23ueOOOygsLGTSpEnMnj2bjIwM4OTjmZWVldx888289957JCQkcNddd51U2+uvv85TTz3F1q1biYuLY/r06Tz11FN069at7jWbNm3irrvuYuHChcTFxXHeeefx5JNP0rVr15B9jsIt6NDMNE0CAasnyP/+9z8uvvhiADIzMzlw4EBoqxMREYlgPn+AKm9tQ/kGgq2qer23GjuWePJxRn8wneWDZBictCvr6G6tBndo1QZYMc6Gg62jwZfDpt1bIm3CNGHrRzDvEdhX21MrOgkm3A5jbwRXQpvc1l3lZcuyYtbP301FybGpr4lpMQyf2otB49NxxXaiI6DR0ZCY2LIjmomJmp4pEmHeXb2bao+/wR1mDTFNqPb4eW/Nbq6b2DckNZSWlvLxxx/z8MMP1wvMjkpOTgasCZBPP/00ffr0YceOHdxyyy3cfffdPPfcc3Wvraqq4ve//z1/+ctfiIqK4uqrr+auu+7ijTfeaPDeP//5z5k3bx7/+Mc/SE9P57777mP16tV1G6QAPB4PDz74IAMHDmT//v389Kc/ZcaMGXz44YcAFBUVMWXKFH784x/zxBNPUF1dzS9+8Qu+853vMHfu3JB8jiJB0KHZ6NGjeeihh/ja177GggULmDVrFgA7duyge/fuIS9QRESktUzTpMYbOLZzq9FpiQ0dSzxuyuIJfbrcbdxY3mWPOinYOtZ3q/EdWjGO+o+PD8lc9qjOuUtEpKMxTdj+Gcx9GPausdacCTD+Fhh3C8Qkt9mtC748yEcvbsTnPnmHakVJNYvf+Yrl/8rnwhvOIGtoapvVEVEMw2rmv3RJ8NdqCICEmGmaVB+uwFtTgyM6mpiERH1vD4Jpmry6dGeLrp2zZCczJvQJyed727ZtmKbJoEGDTvm6O+64o+7/9+3blwcffJCbb765Xmjm9Xp5/vnnyc7OBuC2227jt7/9bYPvd+TIEV555RVee+01zj33XABeffVVevXqVe91R3e6AfTr14+nn36aMWPGcOTIEeLj45k1axa5ubk88sgjda/785//TGZmJnl5eeTk5DTvExHhgg7NnnrqKa666iref/997r//fvr37w/A3//+dyZMmBDyAkVEpHPx+gMnB1inmIh4fH8ta5JiA/26PL42bSxvO9pYvoH+WnUBVwN9uequaaApfazTrsbyIp3VjkUw72EoWGY9dsTCmBtg4k8gNqXRy0JxlLLgy4N88OwXTf6Z6fP4+eDZL7j41jM7T3CWMxBWrgCfr/nX2O3WdSIhUFN5hE0LPmPNx/+mfF9x3XpS93RyL7iEIVPOITouPowVdgyHqrz1pmQ2lwnsKq2irMpLl7jWH7k+2pi/qT+n582bxyOPPMKmTZuoqKjA5/NRU1NDZWVl3Q612NjYusAMICMjg/379zf4ftu3b8fj8TB+/Pi6tZSUFAYOrP9n1dq1a/n1r3/NunXrKC0trTtxWFBQwJAhQ1i9ejXz5s2rOyZ64j06bWg2fPhwNmw4edzy448/js1mC0lRIiIS+QIBkxqfv8Fgq6GJiPWPKJ782qM7uTz+tt29FeOw1TtWeCykOjH0qn/8sLFpi7EuG06bdm+JSAgUrIB5D8GOhdZjmwvO+hFMugPiuzV6WaiOUrqrvHz04kYrMGvqHxpM6yUfvbiRGTMndI6jmi4XnHc+fPRh002QwNpddt4FOpopIbFz3Wr+9cRMvB73Sc+V79/HvNdeZvFf/8Kld95LnxGjwlBhx1HpDiL4bsARty8kodmAAQMwDIPNmzfzjW98o8HX7Nq1i4suuoibbrqJBx98kJSUFBYvXsz111+P13tsQInDUf/PYMMwGp2W2ZwpmpWVlZx33nmcd955vP7666SlpVFQUMD555+Px+MBIBAIcMkll/Doo4+edP3RXmqng6BDs8ZEaxqMiEjE8vgCJwdYJ+zQOrEXV2PTEo8/ztiW7FEGcQ1MPjxV4/gGA67jjzU61FheRCLQ3rXWMcxt/7UeRzlg1LXWRMzEHqe8NJRHKbcsK27wfRplgs/tZ8vyYs6cntn86zqyzCy48CL49JNT7ziz263ALLOTfF6kTe1ct5r3Hv2NFXY0FHjUrnk9bt579Ddc8Yv/p+DsFOJcrYtB4lt5/VEpKSmcf/75PPvss9x+++0n9TUrKytj1apV+Hw+/vCHPxAVZfWP/dvf/taq+/bv3x+Hw8Hy5cvJysoC4NChQ+Tl5TFlyhQAtmzZwoEDB/jd735HZu2fY6tWrar3Prm5ubz77rv06dMHuz1k0VLECfoj8/v9PPnkk/ztb3+joKCgLmU8qrS0NGTFiYh0NoGASZX3WEh18rTEk4OtKrf/uGtOnrZY7fXj9bdtY/lYR8NBVmwjxxLjnLbaY4vHAq1jr7GONDrtaiwvIqe5fV9aDf63fGA9Nmww4vsw+efQpXeTl4fyKKVpmqyfvzvYjwCA9fN2M3xar86z4zYzC66+BvK2wsYN9YcDJCZaPcxyBmqHmYRETeUR/vXEzMYDs+OZJibwrydmcsOsOTqq2YgusQ56p8RSUFrV7EEAAAaQlRJLcgh31j733HNMmDCBMWPG8Nvf/pbhw4fj8/n473//y6xZs3jrrbfw+Xz86U9/4pJLLmHJkiU8//zzrbpnfHw8119/PT//+c9JTU2le/fu3H///XWhHEBWVhZOp5M//elP3HTTTWzcuJEHH3yw3vvceuutvPTSS1x55ZX8/Oc/p2vXrmzbto2//vWvvPTSS6fNScSgQ7Pf/OY3vPzyy9x555388pe/5P7772fnzp28//77/OpXv2qLGkVEIo5pmrh9gUanJTY0EbHS7TvWUL7B6/xUe9t295bTHtV04/jjd3K57MQed5zx+GDr6LTFaLt2b4mIBKUkD+bPhC//gXXI0YDh34Epv4DU7KauBkJ/lLKm0lvvaGcwKkqqcVf6iI7vBEc0j3K5YNhwKyBzu8HrAYfTWu8s4aG0i00LPrOOZDa3Oatp4vW42bRwLrkXXtq2xXVQhmFw7YQ+PPjBpqCvnTExNEMAjurbty9r1qzh4Ycf5mc/+xlFRUWkpaUxatQoZs2axYgRI3jiiSd49NFHuffee5k8eTIzZ87kmmuuadV9H3/8cY4cOcKll15KQkICP/vZzygvL697Pi0tjTlz5nDffffx9NNPk5uby+9//3suvfTY11SPHj1YsmQJv/jFLzj//PNxu9307t2bCy64oF4A19EZZnMOtB4nOzubp59+mq9//eskJCSwbt26urXly5fz5ptvtlWtLVJRUUFSUhLl5eUkJiaGuxwRCQOfP1C7E6uho4cnB1uN9eI6/nVVHj/+QNvt3ooyqN9f6/geXI00jq+bqnhCsFV3vcOG3Xb6fAMTEelwSvNhwWOw/m0wa/s3DvkGTL0Xup16etqJvviskMXvfBV0CZO+M6DBo5QVB6r5ywPLgn6/o37w0HgSu8a0+HoROZlpmrzykx/Xa/rfLIZBUrfuXP/Hl077HaA1NTXs2LGDvn37BtUyqrzay/iZn1Ht9Tcrj4wyINphY9m955AU04n+gaCDO9XXR3OzoqB3mhUXFzNs2DDA2tZ3NI28+OKL+eUvfxns24mI1DFNkxpv4IQg62iY1UCQ5fbVO8p44rTFaq8Vgrl9bdtYPtoR1fDUREfjjePrji02cF2s04bLrsbyIiKnjbJCWPg4rHsDArV9sAZeZIVlGcODfru2OErpiG7dMRpn9Onbz0YkXKoPVwQfmAGYJuX7iqk5cpiYBG0caUhSjINZV4/iutkrwTj1Rr6jf1w+f/UoBWadUNDf3Xr16kVRURFZWVn079+fTz/9lNzcXD7//HNcOrcv0ml4/YF6wVZDExGP/7Xa03CwVXXczq1Kj6/ZO89bwhZlENfADq16O7hcJzSOP2mioq2uOX1M7bU2HU0UEZGGVBTBoj/AmlfBX9sHuP/XYNp90LPlTbrb4ihldJyDxLSYFr1vYloMrjiFZiKh5q2padX1nupqhWanMCUnjdnXjeHm11dTXTvg6vgfRY7+DT/GYeP5q0cxOSet3WuU8Av6u9vll1/OZ599xtixY/nJT37ClVdeySuvvEJBQQE//elP26JGEWmFQMC0dlwFMRGxoWDLCr6OvY/H37a7txpqIH9SgHVckNVYs/njm847bdq9JSIi7eBICSx5Cj5/GXy1P/T2ORumPwBZ41r99t6a1vW/9NScHJoZhsHwqb1adOSzUw0BEGlHjiCOGzbEGaMj002ZkpPGsnvP4b01u5mzZCe7SqvqnstKiWXGxD58c1QvEqO1w6yzCjo0+93vflf3/7/1rW/Rq1cvli5dSv/+/es1hROR4Jimiafe7q3anVuNHD2s8vpO6tF1/LTE40OwtuS0RdUPr+omKJ5qauIJwdYJ0xZjHGosLyIiHVBVKSz9E6x4AbyV1lrmWJh2P/SbErLbtNVRykHj01n+r3x8Hn/TwwUADLA7bQwalx58EaYJNTXg84LdAdHRaqAvcoKYhESSuqdTvn9f8wcBQF1Ps+j4hLYr7jSSFOPguol9mTGhD2VVXo64fcS77CTHOvQPAhJ8aHaicePGMW5c6//FTKQj8QfM43pt1T9eeCzIOnl3VkPN5o9/7GvDxvLG0cbyp2wcXz/Iim0k2Ipz2Yh1WNc67WosLyIinVxNOSyfBcueBXeFtZYxwtpZ1v9rIQ+D2uoopSvWwYU3nMEHz35hZWan+muJYX1YF954RoPTOBvldkPeVti4ASoqjiss0ZpEmTPQmkApIhiGQe4FlzDvtZeDvjb3wksV+ATJMAy6xDnpEucMdykSQVoUmu3Zs4clS5awf/9+AoH6R7Ruv/32kBQmEgqmaeL2BRoPthrqq+WuH2Q1NGWxxtu2RxNd9qhTNI4/Ociq27l1QrB1/NHFaIeOJoqIiISU+wisfBGW/BFqyqy1bkNh+v1Wo/82+r7blkcps4amcvGtZ/LRixvxuRvfrW532rjwxjPIGpLa/JsXFsCnn4DPd/JzFRWwdAmsXAHnnQ+ZWc1/X5HT2JAp57D4r3/B63E3a7eZYRjYnS6GTJ7eDtWJnP6CDs1mz57NTTfdhNPpJDU1td43XcMwFJpJi/n8gUZ2ZjU8EfHEYKuqkSOLbbh5C1uUcVIDeavvViM7tI7u4GpgWmKcy7o21mHDbtPuLRERkYjlrYZVf4ZFT0DVAWutaw5MvQeGXA5Rbf99vC2PUmYNTWXGzAlsWV7M+nm76+1oS0yLYfi0Xgwan4ErJogfJQoL4KMPm/6h3+ezXnfhRQrORIDouHguvfNe3nv0N7U7QJsY82gYXPqz+4iOi2+vEkVOa4ZpBjerLjMzk5tuuol7772XqHb4C0FrVVRUkJSURHl5OYmJmhwSCqZpNZa3+m01HGzVHTtsbrN5jx+Pr213b8U4bPX6Zh2bnHhiU/mju7caDraOn7bosmv3loiISKfhc8Oa16yJmIeLrLUufWDqvTDs2xDVul5jwSr48qB1lNKkWUcpL77tzOB2hlG7a7/Sh6fGhzPajivOHvzffdxueP21hneYNcZuh6uv0VFNkVo7163mX0/MtHacQf3wrPa/SYfTxaU/u48+Z+aGocLwqKmpYceOHfTt25foVg5OkNPPqb4+mpsVBb3TrKqqiu9973sdIjAT8PgCx3Zu1YZUJ/bXarTZvMdP9QmPq9w+qrz+oPpQBsseZRDXwORDK9hquHF8Q8HWsWONdmIcNmxqLC8iIiIt4ffCujdh4eNQXmitJfaCKXfDiO+DLTxT1dr0KGUtwzCIjnecNG0zKHlbgwvMwHp93lYYNrzl95XThmmaVB+uwFtTgyM6mpiExE73D9d9Rozihllz2LRwLms++hfl+4rrnkvq1p3cCy9l6JRzcMXGhbHKjs00TTw+E5/fxG4zcNqNTvd1JicLOjS7/vrreeedd7jnnnvaoh5pwr6KGl5fvuvkIMtT//HRAMzrb8N0C5rfOL52vaGdXfXDL7say4uIiEhkCPhhwzsw/3dwaIe1Fp8Ok++C3GvAHv5dUG1ylDKUTNNq+t8SGzdYwwH0Q2unVVN5hE0LPmPNx/+uHxJ1Tyf3gksYMuWcTnUMMTountwLL2XkBZdQc+QwnupqnDExRMcnKNxpBY8vQEFJDfnFVVQe9w8QcS4b/dJjyUqLPu1+RjUMg3/84x984xvfYOfOnfTt25e1a9cyYsSIBl8/f/58pk2bxqFDh0hOTm7XWsMt6O+eM2fO5OKLL+bjjz9m2LBhOBz1/9XpiSeeCFlxcrJDVR7+NHdb0Nc57VGN7NA6OdiKc9pOfq7uNcemLUbbbURp95aIiIicbgIB2PS+FZYd2GqtxXaFST+Fs64HR0xYyzuRK9bBmdMzGT6tV+uPUoZaTU39KZnBqKiwjnbqyFWndNJxxOOU79/HvNdeZvFf/8Kld95LnxGjwlBh+BiGQUxCIjEJaj/UWvvK3KzIK8ffQCPsSrefDbsOs6nwCGNzkuie3Db/UFJYWMivf/1rPvroIw4cOEBGRgbf+MY3+NWvfkVqqrVDuE+fPtxxxx3ccccdIblnUVERXbp0AawWXEVFRXTt2jUk7326CTo0e+SRR/jkk08YOHAgwEmDAKRtdY13MWNCn2ON44/r03V8sHX8tMVYpw2HGsuLiIiInJppwtYPYd4jsG+jtRadDBNvhzE3giuyd7SE5ChlqPm8rbve61Fo1gntXLfaanxvmg03vq9d83rcvPfob7jiF/+v0wVn0nr7ytws21LW5CwVf8Bk2ZYyxg9KDnlwlp+fz/jx48nJyeGtt96ib9++fPnll/z85z/no48+Yvny5aSkpITsfh6PB6fTSXr6saEwNput3mOpL+hBAF26dOHJJ59kxowZbVRSaGkQgIiIiIickmnCts9g3kOwd6215kqEcbfA+FsgOim89XVk1dXw2pyWX3/tdQrNOpmayiO8ePMMa4dZc35UNQwcThc3zJrTqY5qiqWlgwA8vgAfrznQ4A6zxtiiDC7I7RrSo5oXXnghGzduJC8vj5iYY7uYi4uLyc7O5pprrmHz5s0sWLCg3nWmaXLw4EFuu+02Fi1aRGlpKdnZ2dx3331ceeWVda+bOnUqZ5xxBk6nk9dee42hQ4eyYMGCJo9nfvjhh9xxxx0UFhYybtw4rr32Wq677rq645nNubdpmjz++OM8//zzFBUVkZOTwy9/+Uu+9a1vhezz15RQDAII+nfb5XIxceLE4KsVEREREYk0OxbCn8+HN75pBWaOWJh0J/zkC5h2rwKz1oqOhpb+w3VioqZndkKbFnzW/MAMwDTxetxsWji3bQuT00pBSU1QgRlYO84KS2pCVkNpaSmffPIJt9xyS73ADCA9PZ2rrrqKt99+m3fffZdevXrx29/+lqKiIoqKrOnNNTU1jBo1ig8++ICNGzdyww038IMf/IAVK1bUe69XX30Vu93OkiVLeOGFF5qsq7CwkCuuuIKLLrqIdevW8aMf/eiknvbNufcDDzzA7NmzmTVrFl9++SU//elPufrqq08KACNd0Mczf/KTn/CnP/2Jp59+ui3qERERERFpewXLYe5DsHOR9dgeDWf9CCbeAfFpYS3ttGIYVjP/pUuCv1ZDADod0zRZ8/G/mx+YHWfNR/9i5AWXqGWQNMk0TfKLq1p07fbiKvqlx4Tk6+yrr77CNE0GDx7c4PODBw/m0KFD+P1+bDYbCQkJ9Y5R9uzZk7vuuqvu8f/93//x8ccf88477zB27Ni69f79+/PYY481u65Zs2bRr18/nnzySQzDYODAgWzYsIFHH3202feurKzkiSeeYO7cuYwfPx6Afv36sXjxYl544QWmTJnS7HrCLejQbOXKlcydO5cPPviAoUOHnjQI4L333gtZcSIiIiIiIbVnDcx7GLb9z3oc5YBRM+Dsn0FiRlhLa5JpWo31fV6wO6xdXB0hIMgZCCuWg9/f9GuPstut66RTqT5cUW9KZrOZJuX7iqk5cljN8aVJHp9Zb0pmMCrdfjw+E5ej7f/sPdpJq7GAzu/387vf/Y63336bPXv24Ha7cbvdxMXF1Xvd6NGjg7rv5s2bGTduXL37Hg2+mnvvTZs2UVNTw7nnnlvvOo/Hw8iRI4OqJ9yCDs2Sk5O54oor2qIWEREREZG2UbzRavC/9T/WY8MGI6+CyT+H5Kzw1tYUtxvytsLGDfUnUSYmWruxcgZG7jHGo7W7XFDVzJ0dhgHnXRC5H5O0GW9N646+eaqrFZpJk3z+4Hcynni9KwTzVvr3749hGGzatIlvfOMbJz2/ZcsWunTp0uhUyz/84Q88+eSTPPXUUwwbNoy4uDjuuOMOPB5PvdedGKI1pTlt75u6dyAQAOA///kPPXv2rHetq4P92R50aDZ79uy2qENEREREJPRKtlph2ab3rcdGFAz7Dky5G1Kzw1pasxQWwKefgM938nMVFdaxx5Ur4LzzITPCwr9T1d4Yu90KzDIz264uiViOVg59cJ7QF0qkIXZb63aJtfb6o1JTUzn33HN57rnn+OlPf3rSIIA33niDa665BsMwcDqd+E/Yrbto0SIuu+wyrr76asAKqr766qtGj3s215AhQ3j//ffrrS1fvjyoew8ZMgSXy0VBQUGHOorZkNCNfRARERERiRQHt8N7N8Bz444FZkMvh1uWwxUvdJjAzPzoQ8ymQiefDz760AqpIkVhgVVTcwOz2FiYMBGuvkaBWScWk5BIUvf04I8dGwZJ3dOJjk9om8LktOK0G8S5bC26Ns5lw2kP3dHMZ555Brfbzfnnn8/ChQspLCzk448/5txzz6Vnz548/PDDAPTp04eFCxeyZ88eDhw4AFg71f773/+ydOlSNm/ezI033khxcQuON5/gpptuYvv27dx5551s3bqVN998kzlz5tR7TVP3TkhI4K677uKnP/0pr776Ktu3b2ft2rU8++yzvPrqq62usT0pNBMRERGR00dZAfzzNnjmLFj/NpgBGHQx3LQEvj0H0jpGn6zy8iN4P/qYQMCkWT+emaa1q8vtbuvSmuZ2W7UE08zd44EePSAQaFETeDk9GIZB7gWXtOja3Asv1RAAaRbDMOiXHtuia7PTY0P6dTZgwABWrVpFdnY23/3ud8nOzuaGG25g2rRpLFu2jJSUFAB++9vfsnPnTrKzs0lLs4bV/PKXvyQ3N5fzzz+fqVOnkp6e3uAxz2BlZWXx7rvv8u9//5szzzyT559/nkceeaTea5pz7wcffJBf/epXzJw5k8GDB3P++efz73//m759+7a6xvZkmM05sNqBVVRUkJSURHl5OYktHXctIiIiIpGtYi8s+gOsfhUCXmut/7kw7T7omRve2oK0IK+EJf+Yyz1JpUQF+7PZhIkwbHib1NVsG9a3bFrmUR2hV5u0mZrKI7x48wy8HnezAlTDMLA7Xdwwaw7RcfHtUKFEkpqaGnbs2EHfvn2JDuJ4r8cX4OM1B/AHmh+H2KIMLsjtitOuvUcdxam+PpqbFel3W0REREQ6riMl8PF98McR8PnLVmDWdzL88FO4+u8dMjC7bvYKvh9X0fSLG7JxQ3h3apmmVUNrHO3V9vprkXXkVNpFdFw8l955r7Wbp6kdPbWvufRn9ykwk6A47VGMzUlq3k5ewADG5iQpMOuEWvU7XtPK6SYiIiIiIi1SVQr/+zX8cTgsfxb8bsgcB9f+2/pf1thwVxi08movN7++muSoAH0cvuB3mYEVOIXziGZNTf0Jn60Rib3apF30GTGKK37x/3A4XXXBWD21aw6niyvu+TV9zuxY4bhEhu7JLsYPSsbWxB+2tiiD8YOS6Z6sna+dUdChWSAQ4MEHH6Rnz57Ex8eTn58PWGdaX3nllZAXuGfPHq6++mpSU1OJjY1lxIgRrF69OuT3EREREZEOoKbcmob51HBY/CR4q6DHSLj6Xfjhx9Yusw7q3dW7qfb4iTVauVPM6wlNQS3h84b2/SKpV5u0qz4jRnHDrDlMu/bHJHXrXu+5pG7dmXbtj7nx+VcVmEmrdE92cUFuV4b3TjhpOECcy8bw3glcmNtVgVknZg/2goceeohXX32Vxx57jB//+Md168OGDePJJ5/k+uuvD1lxhw4dYuLEiUybNo2PPvqIbt26sX37dpKTk0N2DxERERHpANxHYMXzsPRPUFNmrXU/A6bdDwMvDH7aXjOYpsmhKi+Vbh9xLjtdYh1t1mjcNE1eXboTgMpAK+/hcLa+oJayO0L/nj4f5G0Nf682aXfRcfHkXngpIy+4hJojh/FUV+OMiSE6PkFN/yVknPYosjNi6Zceg8dn4vOb2G0GTruhrzMJPjR77bXXePHFFznnnHO46aab6taHDx/Oli1bQlrco48+SmZmJrNnz65b69OnT0jvISIiIiIRzFtt9Spb/BRUHbDWug6EaffC4MsgKvT9Zcqrvby7ejevLt3JrtKquvXeKbFcO6EP3xzVi6SY0IZDh6q8dfc6FIhip9dOlr0FRzQTE8PbPD862qohVEc0j9q4wRoOoB9gOyXDMIhJSCQmQYPdpO0YhoHLYeBqg+xfOq6g/5axZ88e+vfvf9J6IBDA6w3tdux//etfjB49mm9/+9t069aNkSNH8tJLL4X0HiIiIiISgXxuWPGi1eD/0weswKxLX7j8RbhlGQy9vE0CswV5JYyf+RkPfrCJguMCM4CC0ioe/GAT42d+xoK8kpDet9LtO+6RwasVLWxqHu5gyTCsGkIt3L3a2phpmlRVlFO+fx9VFeWY4RzmICIidYLeaTZ06FAWLVpE7969662/8847jBw5MmSFAeTn5zNr1izuvPNO7rvvPlauXMntt9+Oy+XimmuuafAat9uN+7hvqBWh/lcuEREREWk7fi+sewMWPA4Vu621pEyYcjeceSXY2m4LgDW5ciUm0FBkcXSt2uvnutkrmX3dGKbkpIXk3nGu+n8tf/dIPHd1KScaE1szMjATMOx2yBkYknpaJWcgrFxhHasMJa/H2sl2GqmpPMKmBZ+x5uN/U76vuG49qXs6uRdcwpAp52gqpIhIGAUdmv2///f/+MEPfsCePXsIBAK89957bN26lddee40PPvggpMUFAgFGjx7NI488AsDIkSP58ssvmTVrVqOh2cyZM/nNb34T0jpEREREpI0F/LD+b7Dgd3Bop7WWkAFn/wxyrwF72x45PDq50sTqPX8qpgkYcPPrq1l27zkhOarZJdZB75RYCkqrMIGKQBQ37+/K7O4l+E1OGZz5TYiKMuC8C8J7NPMolwvOO9+afBnKHVPh7NXWBnauW82/npiJ13PyDrry/fuY99rLLP7rX7j0znvpM2JUGCoUEZGg97RfcsklvP3223z44YcYhsGvfvUrNm/ezL///W/OPffckBaXkZHBkCFD6q0NHjyYgoLGx07fe++9lJeX1/2vsLAwpDWJiIiISAgFArDh7/DsWHj/Jiswi0uD82fC7WthzI/bPDCDY5Mrm5vxmCZUe/y8t2Z3SO5vGAbXTuhTb21hdQzX7UujxjQImBA4obajawGbDePCr0NmZkhqCYnMrP/P3n3HR1Fujx//zJbsbsqmAKElkRo6SBEpShGkKYh4bRAFrFguig3LtV0L2BG/iuX+BBS4ehVFmoIoIEUEQaRXwSS0AOll+/z+mCRkSdvdbCCB8/bFCzMzz8yzm+hOzpznHBg6DAx+P6Mv2/mu1RZkh7du5pvXXtQCZqpaOrhYuM3psPPNay9yeOvm8zNRIS4mqgp5pyHjb+1vWSYtCCBoBjB48GBWr15Nbm4u+fn5rF27lkGDBgV7bvTu3Zu9e/d6bdu3b1+ppaElmUwmrFar1x8hhBBCCFHDqCrsXgwfXgHz74TT+8ESDQNfgIf+hJ73g9FyjqZypnOlv2atOxy0+lM3dI3DEqL3Kkn2S4GFnimN+Xd6NMku7wBUisvA1KwY8m8aU7MCZkXiEyDpdujVWwt6VcX5rtUWRLa8XBa+PUX7ufEhrVFVVRa+PQVbXu65maAQF5uCTNgwA6Z3hjeawbsdtb+nd9a2F2Se7xnWGocPH0ZRFLZu3VruMatWrUJRFDIzM8/ZvKrC76BZs2bNOH36dKntmZmZNGvWLCiTKjJp0iQ2bNjAq6++yoEDB5g3bx4ff/wxDzzwQFCvI4QQQgghzhFVhX3L4eN+8OUYSNsJJiv0exoe2gZXTIKQsHM6paLOlf6GvlTg7/R8MvOD0wwr0mJkRlJXFLzjQ9keHbOyI+iX2pBL/27MFSmN6JzcmP5HGnLF9VcRGXlu3y+/mEzQoSPcMhrGjocbbgS93qehqqqS73CQ5XSQ37DhBVMcf9fqn85kmPmiMONs1y8/V+/EhLgYHVgBb7eFH546UxqgSMZhbfvbbbXjgmzcuHGMHDmy1PbaElQqa/7x8fEcO3aM9u3bn59JVQO/86UPHz6M2+0utd1ut3PkyJGgTKrIZZddxrfffstTTz3Fv//9b5o2bcq0adMYM2ZMUK8jhBBCCHExU1WVTHsm+a58Qg2hRJmiUEpEbSrb7+NF4NBq+PkVSN2obTOGQY8J0PNBCI0J4ivyj3fnSv/l2l1EhwWn3lbfxHrMHN+d++ZspsCh3XOfCa0oZHn0ZHnAEqJn1tiu9AlSI4JqpyhaEX+zGQYPqbDemc3pZNfxVLakHiaroLCD6ZofL4ji+KqqsuWHRQEt+9ry/UI6Dxnu9397qqpSkJON02bDaDZjibD6/9+vEBeiAytg7k2F/z1W0P7FWaAdN+Z/0GLguZxhQBwOByEh56cGpF6vp0GDBufl2tXF56DZwoULi/992bJlREZGFn/tdrv56aefaNKkSVAnB3Dttddy7bXXBv28QgghhBAXu2xHNgsPLGTennmk5JypAxsfEc/o1qPpn9Cflckry90/osUIrCE+LLv7+1dY+QocXqN9bTDDZXdpWWVhdYP9svx2dudKf4VXcfzZ+ibW49enBvDNllRmrTvM3+n5xfsSYkIZ17sJN3SNw2quvk6i1aqo3tnyZaU6bB4+fZKFOzbjLOMh/YVQHL8gJ9urS6bPVJWsE8ex5eZgifBtqat05hSiAgWZ8OXthQEzTyUHe0DVacc/sgssUdU/vxLWr1/Pk08+yaZNm6hbty7XX389U6ZMISxMyzJu0qQJd911FwcOHODbb79l5MiRvPjiizRt2pT//ve/TJ8+nS1bttC8eXPef/99+vXrV3zuXbt28dhjj/HLL78QFhbGoEGDeOedd6hbV/ts/vrrr3nxxRc5cOAAoaGhdO7cme+++4433niD2bNnAxQH4VeuXEmTJk1o2rQpf/zxB5deeikAS5cu5eGHHyYlJYUePXowduxYr9d3+vRpHnzwQdasWUN6ejrNmzfn6aef5tZbby0+RlVV3njjDT788EOOHTtGYmIizz77LP/4xz+q620vpqg+5jnrdNpKTkVRSqVGG41GmjRpwltvvVXjAlzZ2dlERkaSlZUl9c2EEEIIIQqtO7KOSasmYXPZAFC98pmUSr8GMBvMvNPvHXo37l32RVI3a8Gygz9pX+tDoOs4rSNmRM15Eq2qKv3eWFXcudJXCloQa9Xj/aotc0dVVTLzneTaXYSbDESFGi+cLCG7HfbthR3bITubw6dP8s2fGyv/HigKiqIwavLztS5wlpV2gv/8886Ax9/13v8jMrZ+pceV6sxZ8ve3wp8fY4ip1gYfhShis9k4dOgQTZs2xWw2+z5wwwxt6aW//9cfMlXLkA6CcePGkZmZyYIFC7y2r1q1iv79+5ORkUFKSgq9evXipZde4pprruHkyZM8+OCDdOrUiZkzZwJa0CwjI4Nnn322eLmkwWCgadOmxMXFMW3aNNq2bcvbb7/Nl19+yaFDh6hTpw7Hjh2jY8eO3H333dx+++0UFBQwefJkXC4XP//8M8eOHSMhIYHXX3+d66+/npycHNasWcPtt98OwJ133kl2dnbxPGJiYjh69KhX0CwlJYWWLVsyYcIE7rvvPn7//XceffRRTpw4QUZGBlFRURw5coT//ve/DBw4EKvVypIlS5g0aRLr1q3j8ssvB+CZZ57hm2++Ydq0abRs2ZJffvmFCRMmsGzZMvr27Vvue1zRz4evsSKfg2ZFmjZtWhzhrA0kaCaEEEKIUlQVbDZwOcFg1JaMXSiBCB+sO7KO+3+6H1VVvYJh/lLQghcfDPjAO3B2bBusfBX2fa99rTNA5yS48jGIqoEF64FP1x7ipcW7/A6aPTe8LeN7N62uaV0cVBVbejofT7oHp8Ph29JFRcEYYuKeGbNqVbZUfnYWM+4OvNTM/f+ZV2mmWVFnzkobDdTi4KMQRQIKmqmqVuQ/4zB+B82im2idnYNwzzBu3DjmzJlTat5utxubzUZGRgYTJ07EYrHw0UcfFe9fu3Ytffv2JS8vD7PZTJMmTejcuTPffvtt8TGHDx+madOmTJ06lcmTJwPgcrlo2rQp//znP3niiSd47rnn+O2331i2bFnxuNTUVOLj49m7dy+5ubl07dqVw4cPl9mMsaygX9F1i4JmTz/9NAsWLGDnzp3FD3yefPJJXnvtteKgWVmuueYa2rRpw5tvvkleXh5169bl559/pmfPnsXH3HXXXeTn5zNv3rxy3+NgBM38ziU/dOiQv0OEEEIIIWqGszJbilmtWne+xFZa4fILWLYjm0mrJlU5YAaF2WkqTFo1iRU3rsCaeRRWvQq7vtMOUHTQ8Rbo+wTE1NzAkqqqXNUmlteX7cHmrGyZjkangNmoZ1SXuGqe3UVAUdj121rfA2bgVRy/y9AR1Tu/ILJEWIms34CstBP+1TVTFCJj62MOj6iwRpnfnTmBhW9PqXXBRyGqJD8dMgKJa6jauIKMoNXh7N+/PzNmzPDa9ttvv5GUlATA5s2bOXDgAHPnzj0zC1XF4/Fw6NAh2rRpA0C3bt3KPH/JIJPBYKBbt27s3r27+NwrV64kPLz0f/sHDx5k0KBBDBgwgA4dOjB48GAGDRrEP/7xD6Kjo31+fbt376ZHjx5eGdIl5wRakHDq1Kl8+eWXHDlyBLvdjt1uL15+umvXLmw2G1dffbXXOIfDQefOnX2eS6ACKsCQl5fH6tWrSU5OxuFweO2bOHFiUCYmhBBCCBFUKcll1lACtADa+nWw8TcYNFiruXSBWnhgITaXrcoBsyIqKrEFOZyeOwrr37+jPbVXoP0o6Psk1EsMynV8m4x/GYRZBU7mb05l9nrvumGVKTrlh0ldibTU0rpiNcj5KI5/viiKQpchw1n52X/8HtvhqsH88f3CCmuUVaUzZ20KPgpRJY7cqo235wQtaBYWFkaLFi28tqWmphb/u8fj4d577y0zzpKQcOZepSjA5Iui/196PB6GDx/Oa6+9VuqYhg0botfr+fHHH1m/fj3Lly/nvffe45lnnuG3336jaVPfHoT5srDxrbfe4p133mHatGl06NCBsLAwHn744eJYk8ejPcxasmQJjRs39hprOgcPOv0Omv3xxx8MGzaM/Px88vLyiImJ4dSpU4SGhhIbGytBMyGEEELUPCnJFXbrK+ZyaccNHXbOAmeqquJyuHG7Pej1Ogwh+mqtjzVvT/nLGPzVyOni3swsRuTmYeCotrH1tdD/aajfLmjXqVQAGYSr95306lDpi6LvisWo58OkWtS5soY7l8Xxa4K2fQew9ovPfQ5uKYqCzmBgw/wvcDkdpfaXbJBgtFguiuCjEFUSUsWsSlNEcObhgy5durBz585SgTVfbdiwgT59+gDa8szNmzfz4IMPFp97/vz5NGnSBIOh7NCQoij07t2b3r1789xzz3HJJZfw7bff8sgjjxASEoK7jKYtJbVt27ZUzbYNGzZ4fb1mzRquu+664uw6j8fD/v37i7Po2rZti8lkIjk5ucL6ZdVF5++ASZMmMXz4cNLT07FYLGzYsIG///6brl278uabb1bHHIUQQgghAme3axlmfmResHyZNq4auZxujh48zZYVB9j0wz62/Fj494oDHD14GpfT92COrzLtmaTkpFQ5yyzW5eKZU+ksTj3KqNw8DMAvFjM54xbDLXPPbcAsJRnmfKZlCpYMmMGZDMI5n2nHFVq97yTjZ26kwOlGxfeKNgkxoTw3vC0bnh4gAbMgctpsVRrvKCgI0kzODXNYOCMeeUoLUFUWpCrc73a5tIBZWcsuC7c5HXbyMzP8n1CJ4KMQF4XQGIhuyplHIb5StHEW35cnVtXkyZP59ddfeeCBB9i6dSv79+9n4cKF/POf//Rp/Pvvv8+3337Lnj17eOCBB8jIyOCOO+4A4IEHHiA9PZ1bb72VjRs38tdff7F8+XLuuOMO3G43v/32G6+++iq///47ycnJfPPNN5w8ebI4mNWkSRO2bdvG3r17OXXqFE6ns9T1J0yYwMGDB3nkkUfYu3cv8+bNY9asWV7HtGjRojijbffu3dx7770cP37mQUpERASPPfYYkyZNYvbs2Rw8eJA//viD999/v7iDZ3XyO2i2detWHn30UfR6PXq9HrvdTnx8PK+//jpPP/10dcxRCCGEECJw+/aWvSSzIi6XNq6KVFWlINdB9qkCCnIdxcsUMtJy+X3ZPg7vOIE93/sm057v5PCOE/y+bB8ZaVVcQnKWfJfvSxDLUsft5onTGSxNPcotObkYgQ1mE0kN6/NAg1iy6zbz+VyqqpKe5yAlPZ/0PIdPSzhKKcogrOz7W5RBmJJMVoGT++Zs1oJlvtSbByxGHb883o9Vj/djfO+mWM2yJDOYjP50vCtDiMUSpJmcO00u7cqoyc9jDDFpgbGzg2eF2wwhIeiKMkB8qFFWFbUt+ChEwBQFLr83sLGXTzinjYM6duzI6tWr2b9/P1deeSWdO3fm2WefpWHDhj6Nnzp1Kq+99hqdOnVizZo1fPfdd8VNHRs1asS6detwu90MHjyY9u3b89BDDxEZGYlOp8NqtfLLL78wbNgwEhMT+de//sVbb73F0KFDAbj77rtp1aoV3bp1o169eqxbt67U9RMSEpg/fz6LFi2iU6dOfPjhh7z66qtexzz77LN06dKFwYMH069fPxo0aFDcBbTISy+9xHPPPceUKVNo06YNgwcPZtGiRT4vE60Kv7tnFr0ZiYmJtGrViunTpzN48GD27NlDly5dyM+v2s1YsEn3TCGEEOIipqrwxbzSGUi+sFrhltEB3Rzb853s+fU421alkn3yzC+i1noW2l7RALvNx19OFWjTI4Ho2OAU6M6wZdDnyz5+j4t0u7kjK5tbsnMJLbx13Gwy8X/RkfxuORPwWHPzGqLMURWeq7w6YpfEhDK2VxNu6BrnW50wu13LIPMnIGowMKdFX579fr90yaxBVFXl/z10d8DF8e9895Nau6zQlpfLrl9+Zsv3C0vXKRs6ApfdzpovPqtyQMwXvnTmFKKmCah7JkBBJrzdFpwFgA8NYBQdGCzwyC6wRAU423Pn7C6WF6vz0j2zc+fO/P777yQmJtK/f3+ee+45Tp06xeeff06HDh38fxVCCCGEENXFZgssYAbaOLtdKybvh+Sdp/n+4x247KWXV+Zl2MjPzUOnV3z7JV+FvRtT6DY4EYNR79c8yhJliiI+Ip7UnFSflmhGuD3cnp1NUlYO4YW/tG8zhfB/UZH8ajlTZF9BIS4ijkhTZIXnq6iOWHJ6Pi8t3sWby/cyI6krfStb/hhABqHqcpH+x3bA/8ymWesOM65Xk1obnKnJqlIcv8vQEbX6e2IOC6fL0BF0HjIcW24OjoICQiwWzOFazaT/99Dd1R8wK9GZU4iLhiUKbv4M5t4Eqo6KA2c6QIGbP68VATMRXH4vz3z11VeLUwFfeukl6tSpw3333UdaWhoff/xx0CcohBBCCBEwV+n6Gn4po+h2RZJ3nmbx+3/iKqe4fExji+8Bs0Iet8rJ5Ey/5lEeRVEY3Xp0pceFejzcnZnFD6lHmJCZTbiqsjvEyIP16zKmYX1+DbWUysAb02ZMha+rsjpiRdsKnG7Gz9zI6n0ny5+gqmpF/wMwwpDud003Ffg7PZ/M/Cr+PIlyte074MxSRR8oioIxxETbPldV88zODUVRsERYiYytjyXCiqIogTdICEBtDz4KEZAWA2HM/8BoQcspPvu/gcJtRguM+QpaDDj3cxTnnd+ZZt26dSv+93r16rF06dKgTkgIIYQQImgMVaw9ZQzx+VB7vpPvP96hJYWUE5Opd0loQNM4+lc6DZrFBOWX2hEtRjD9j+nYXLYzwSMVojAT7dYzOPckt2alE1PY4v2A0cj70ZH8FGpBLeP6OnSYDCaGNx9e7jX9qSOmqoAC983ZzK9PDSh7qWaAGYQK0MToIkrnIdPjf+Zert1FdJjvPxPCd0XF8b957UXtp7KiH5TCel8jHn0ac1hwli7XRFVtkOALRVEwXEDBRyH81mKgtuTyzy/gtw8h49CZfdFNtBpml94K5oozqWuaJk2aBFYrVJTid9BMCCGEEKLWMJu12mSB1jQzmXw+fM+vx8tckllEb1QwhQV262XPd+JyujGGVP3WzRpi5Z1+73D/T/cT4QlhuKsVSa62xOXvhtxV4NE66KUbQnk3KoIF4SF4ygnWKSigwLR+07CGlF8PZP7mVAocbp/zu1QVChxuvtmSWnYdsSpmEIbrVDJ9KGFTapxJbp2rU1Fx/IVvT8HpKOxeW/KXvsKfQ2OIiRGPPk2TTl3OwyzPnao2SKjURRJ8FKJSlijoMUFrDlCQAfYcMEVoXTIlA/Oi5/fyzBMnTnDbbbfRqFEjDAZDcRfNoj9CCCGEEDWGokD7AGuutu/g882yqqpsW5Va4TF6g9+3XV7crgCiPOXo3bg3X7SdwkrbbUzOMRKX9hFkL9ICZvooPJE3EFX3aSYbH6SHJ0ELjpWgFP5jNpiZMWAGvRr3Kvdaqqoye/3hgOY5a93hsp+UVzGDMM/j3y9BClqjgqhQ6ZpZ3Zpc2pV7Zsyi/9i7iYyt77UvMrY+/cfezb0fzr7gA2aAtlyzfgP/f2lXFMKiojFU0pnTGGJi1JMvXBTvpRA+URQIjYHoS7S/JWAmCCDTbNy4cSQnJxe3OZW170IIIYSo0RJbwcbf/O6ySGIrnw+35Tm9umSWpapBr6oG3bz8vpE2a+aj5v6M4k7XtumsEH4VhHZDp2i3iBZghnM4z4Vu4Dv7luLhcRFxjGkzhhHNRxARUnHx8Ix8p1eXTF+VrCNWaklkFTIIs40WMj3+v5fjeksTgHOlouL4F9P3oCoNErqPvJG2fa4quzNnbH26DB1Bu74DMIWGBXPKQghxwfE7aLZ27VrWrFlzUbctFUIIIUQtYjLBoMHw/VLfutApCgwa4tfSTKet/GWZRdxOFXuei5BQvd+/+JtCjUHpnonHAytnwPq3wX1Kyx/ThUN4Pwi9HBTvTKqissgv5V3B4ze+Qa7OSZghjEhTpM+vIc/uX4fLs5VZR6wog3D9Or/PZ7y0E5bDJ7SGBD78OOgUMBv1jOoS5/e1RNUUFce3RJS/9PdC17bvANZ+8bm2XNWHH9iSNcok+CiEEFXn92O2+Ph4KSgnhBBCiNolPgGGDtMyyCpiMMDQayA+3q/TG82+BbRO/u1/xhVAo6o2AVBV2LUQPugJa54G9ylQQiFiKNR7AsKuKBUwK0lxuYj8+ziNwxsTZY7yay5hVawDVm4dscRWlX8/z2YwYGnXlhlJXbWAYCUvo2j/h0ldy25IIEQ1K2qQoJS1zPJs5dQoK6szpxBCCN/4HTSbNm0aTz75JIcPH66G6QghhBBCVJP4BEi6HXr11pb2lWS1atuTbvc7YAZgDjNirWep9Lj0IwV43KpfDyB1eoV6CVF+zwnQgmX7lsFHfeB/t8GpPaCYIfxqiH0CwvuCzsdukDu2+5apd5boUCOXxITi76/pldYRK8og9DUAUCKDsG9iPWaO747FqC/Opjv72gpgMeqZNb47fRLr+Tl7IYKnqEGCUWqUCVG9VBUceVozAEdeQJ954sKjqH6mjUVHR5Ofn4/L5SI0NBSj0ftGJj09PagTrKrs7GwiIyPJysrCevYNshBCCCEuTqoKdjs4HWAM0QIwVcy++POnFNZ+tb/S4yLqhtC8WzRA5RkfCrTtkUBUrJ+d7VQV/loJP78CR37XtoWEQ/gVYOwOulD/zldk7HitnpifPl17iJcW7/K5eyZoQavnhrctu3tmSSnJsHxZxTXrDAYtYHZWQDSrwMk3W1KZte6wV921S2JCGde7CTd0jcNqlgwzUTPY8nLLrlFWv4HUKBMXLZvNxqFDh2jatCnmQDvOOgvg2BZIWQ8FJeIZlhiI7wUNu4Cx8gdjwbRq1Sr69+9PRkYGUVFR1XKNWbNm8fDDD5OZmVnuMS+88AILFixg69at1TKH6lbRz4evsSK/8+WnTZvm90SFEEIIIWoURdGCP4HeYJehdc8GbFj4Fy6Hm4qiQzmnHBz8PYOmnaPQ6csPnOn0Cq27x/sfMDu8Dla+An8X1vsyWKD73dD1Xvh6kX/nOpvTEdB7dkPXON5cvrd66ogVZRDu26tlw5VsDmC1arXPEluVWaMu0mJkfO+mjOvVhMx8J7l2F+EmA1GhRlnCJmocqVEmRDU4vQ+2zQW3o/S+gnTYtxgOLoeOY6BOYlAvPW7cOGbPng2AwWAgPj6eUaNG8eKLLwb1OuW5+eabGTZs2Dm5Vm3md9Bs7Nix1TEPIYQQQohazRRqZOg97Vn8/p9azKyiwNlpB7tWn+SKW1pgy7Nhz3d6nadRsxjqJUT5V/w/9Xf4+WUtwwxAHwLd7oArHoGI+pDjf6fJUow+LuU8S6TFyIykroyfuRGUile8BFRHzGSCDh21AFkAGYSKohAdFlK64YAQNZA0SBAiSE7vgz9mVX6c26kd13lc0ANnQ4YMYebMmTidTtasWcNdd91FXl4eN998c1CvUxaLxYLFcm4z6GqjgHqXu91u5s+fz8svv8wrr7zCt99+i9tdedcoIYQQQogLWUK7Olz7QCcMIRUHuwwheoZO6Ei7XvF0GdiCy4Ym0nlgczpf1Zy2vRKoGxeJ3nDmNk1VVdLzHKSk55Oe5/CuiXbsT5h3M/xngBYw0xmg63iY+AcMfU0LmAHoq1aQn4gIvzqKnu2c1BEryiCMsGp/S/aNEEKIsjgLtAwzoMKnXCX3b5urjQsik8lEgwYNiI+PZ/To0YwZM4YFCxYU79+8eTPdunUjNDSUXr16sXfvXq/xM2bMoHnz5oSEhNCqVSs+//xzr/2ZmZncc8891K9fH7PZTPv27Vm8eDGgLc88e+nn1KlTqV+/PhEREdx5553YbDav/Zs2beLqq6+mbt26REZG0rdvX7Zs2eJ1TFZWFvfccw+xsbFYrVauuuoq/vzzzyq+U+eP33dPBw4cYNiwYRw5coRWrVqhqir79u0jPj6eJUuW0Lx58+qYpxBCCCFErZDQrg7jpvRiz4bjbFuZSvbJMzfY1noWOvaPo3XPhpgs2m2Y2+XhZEoWx/5KL5VxFh0fyS9puczc8HepmlsPdXQxPH02xn2FSy4VHXS6Ffo8DjEl6oDZ7WeWLlZFh45VDkL1TazHr08NKLOOWILUERNCCHGuHNtS9pLMcqna8ce2QELvapuWxWLB6TxzL/DMM8/w1ltvUa9ePSZMmMAdd9zBunVa+YVvv/2Whx56iGnTpjFw4EAWL17M+PHjiYuLo3///ng8HoYOHUpOTg5z5syhefPm7Nq1C72+7Ad7//vf/3j++ed5//33ufLKK/n888+ZPn06zZo1Kz4mJyeHsWPHMn36dADeeusthg0bxv79+4mIiEBVVa655hpiYmJYunQpkZGRfPTRRwwYMIB9+/YRExNTbe9ddfG7EcCwYcNQVZW5c+cWv+DTp0+TlJSETqdjyZIl1TLRQEkjACGEEEKcL6qqYs9z4bC5CDEbMIUZvGoPZaTlsndjCh536dsxbYmnit2jMm1vGtuy8onWeWitO8rtygIG6zagU1RUFJT2N0C/J6FuS++T+FIk3xc6Hdw+rkqZZmdTVfWCqyOmqiouhxu324Ner8MQoq/1r0kIIWqygBoBqCqsf9O76L+vLDHQ67GgZDKPGzeOzMzM4syyjRs3MmzYMAYMGMB9991H//79WbFiBQMGDABg6dKlXHPNNRQUFGA2m+nduzft2rXj448/Lj7nTTfdRF5eHkuWLGH58uUMHTqU3bt3k5hYelnp2Y0AevXqRadOnZgxY0bxMT169MBms5XbCMDtdhMdHc28efO49tpr+fnnn7n++utJS0vDVOKeoUWLFjzxxBPcc889VXzX/HNeGgGsXr2aDRs2eEUI69Spw9SpU+ndu/oirkIIIYQQtY2iKJjDjZjDS2dOZaTlsntDcrmrQhTtBIToYHKb+jQ4vprmWV9DwRaKBu1SOvOs4yYmdryRvnXPWs6YkgzfL624gJivBlwd1IAZXFh1xFxON2nJmWVmCzZsFkOsv/XphBBCVB9nfmABM9DGOfMhJDidahcvXkx4eDgulwun08l1113He++9x65duwDo2LFj8bENGzYEIC0tjYSEBHbv3l0qCNW7d2/effddALZu3UpcXFyZAbOy7N69mwkTJnht69mzJytXriz+Oi0tjeeee46ff/6ZEydO4Ha7yc/PJzk5GdCWk+bm5lKnTh2v8xQUFHDw4EGf5lHT+B00M5lM5OTklNqem5tLSEjtv+kRQgghhKhuLqebvRtTKi+jApidJ4k7PpPY04uAwhqyptZ4wq+mtbExn6kKD3+1hksfGX6mcL7drmWYVSFgplIYuLvsciixNEN4qyhb0J7v5PCOEyTvTqNV93ii/e2EKoQQIvj8WpZZ3vjgBM369+/PjBkzMBqNNGrUCKNR+xwvCpoVfQ1num17PJ5S24qoqlq8rTqK/I8bN46TJ08ybdo0LrnkEkwmEz179sThcBTPrWHDhqxatarU2LPrp9UWfjcCuPbaa7nnnnv47bffUFUVVVXZsGEDEyZMYMSIEdUxRyGEEEKIC0pacmaZQZaSjM7TNEl9hy67bqTB6QXocGO3tIc690PMOHQhjdEpYFZUPqxzgg2r/zgzeN/eKi3JVFVwemBH+x7QpUvA57nQFWULVva99LhVdm9IJiMt9xzNTAghRLn0VUz2qer4EsLCwmjRogWXXHKJV4DMF23atGHt2rVe29avX0+bNm0ALUstNTWVffv2+Xy+DRs2eG07++s1a9YwceJEhg0bRrt27TCZTJw6dap4f5cuXTh+/DgGg4EWLVp4/albt65fr6+m8DvTbPr06YwdO5aePXsWf1NdLhcjRowoTgMUQgghhBBlU1WVY3+VvyzE4Mqk8Yk5NDj5NXrVDkBW2KWkNLwbu6UNXU5t9Oo8qVfArUKfw1tQbR1RTKYqFf1XVS3LzAm8seIgd9SLo28gnSwvcP5kCwKgwt6NKXQbnChLNYUQ4nwyhmq1yQKtaWYMDf6cAvD4449z00030aVLFwYMGMCiRYv45ptvWLFiBQB9+/alT58+3HDDDbz99tu0aNGCPXv2oCgKQ4YMKXW+hx56iLFjx9KtWzeuuOIK5s6dy86dO70aAbRo0YLPP/+cbt26kZ2dzeOPP+6V0TZw4EB69uzJyJEjee2112jVqhVHjx5l6dKljBw5km7dulX/GxNkfmeaRUVF8d1337F3716+/vprvvrqK/bu3cu3335LZGRkdcxRCCGEEOKC4XK4vepeFdG7cog/+hFdd95A47S56FU7OaHt2Nn8XXa2/IDsiC7YDRZcSulnnnoFTKgU7NwNNhtkZwc8P0WhMIMNPq1/kjlfrSGroPR8L3a+ZAuezeNWOZmcWT0TEkII4RtFgfhegY2N7xWUJgDBMHLkSN59913eeOMN2rVrx0cffcTMmTPp169f8THz58/nsssu49Zbb6Vt27Y88cQTuN3uMs93880389xzzzF58mS6du3K33//zX333ed1zKeffkpGRgadO3fmtttuY+LEicTGxhbvVxSFpUuX0qdPH+644w4SExO55ZZbOHz4MPXr16+W96G6+d09s4jD4eDQoUM0b94cg8HvhLVzRrpnCiGEEKImseU72PLjgeKvde48Gp38H43S5mFwa8v3ci2JpDS8hwxr6ZvzLic3YHbbS53Xo4I7PALjiOHw33lBmatbBZuqsKDdVYzp41sh4YuBqqpsWXGgzOBnZUyhRroMbCFdNYUQIggC6p4J4CyAtVPB7cS3lGEF9Ea44kkwBr9WmKgeweie6XemWX5+PnfeeSehoaG0a9euuEvCxIkTmTp1qr+nE0IIIYS44KmqSnqeg5T0fLLt2hNenbuARifm0HXnDSQc+xiDO5d8czP2NJ3CtlazyIjsXebTbL2n7CfEOgWMeTla9CxI9ApYFJXTW7YT4HPWC1J52YK+sOc7cTnL/h4KIYQ4R4wW6Dim8IvKHmIU7u84RgJmFyG/U8Seeuop/vzzT1atWuW1DnbgwIE8//zzPPnkk0GdoBBCCCFEbZVV4GT+5lRmrz/M3+n5AJhwML/JFhJPzSHEpdVTKTAlkNLgTk5FDwClnHpXqorJbcOgVlLgX6eA1VqlJZpnG2FIJzPPQXS4KWjnrM3cbk/lB1U03uXBKE3nhRDi/KqTCJ3Hwba5FXfU1Bu1gFkdybi+GPkdNFuwYAFffvklPXr08Eorb9u2LQcPHgzq5IQQQojaTlVV3JmZePLy0YWFoo+KkmVZF4nV+05y35zNFDi0rCIjLm7Sr+JBwwIaHteCZbaQRqQ0uIOTMYOhjFplZ2uUf6TS5+GEmKB9B1i/rmovoJBOgSZGF0dy8iRoVkiv93uxhvd4Q9XGCyGECJI6idqSy2NbIGW9d3MAS4xWw6xRVzD4sfRTXFD8DpqdPHnSq9Bbkby8PPklQAghhCjkzs4ma8EC0ufMwZmcUrzdmBBPTFISkSNHopdamxes1ftOMn7mRlRAh5tR+jVM1H9LvO4kAMfUGLLi7iS9zrW+ta5XVXSqh3oFx8s/BFCsVjCZILEVbPwNXJVkpfkhXCfLM4sYQvSYQo0B1zST7plCCFGDGC2Q0FsLkDnztawzfYjWJVNiHBc9vx9zXXbZZSxZsqT466JA2SeffELPnj2DNzMhhBCilspds5b9fftxYspUnCmpXvucKamcmDKV/X37kbtm7XmaoagWqgoFBWSfTOepeRtRcDNcWcePIY/zhvFj4nUnOalG8oLzdv6lvEqkviXojNq4ys4LtM7ciUEtvxaWAlqGmaJogbNBg4N6s2+1hgY2sPB9ISdb+/sCqI2mKAoNm8UENLZRsxh50CyEEDWRokBIGFiitb/l/9WCADLNpkyZwpAhQ9i1axcul4t3332XnTt38uuvv7J69erqmKMQQghRa+SuWUvKvfdqgYGyggOF21SbjZR77yX+o48Iv/KKczxLEVR2O+zbCzu2Q3Y2VtXD+qidOHJWEOI+AUC6Gs4M1wg+d19Nd4uHmfVPggPMGdvZG9UOT9FzzJI36IU/KzrVQ+vMnUQ5Miqeh8GgZZgViU+AocNg+bIqZZx5VMg1WbD605UMSr0vxaxWLbiX2EoL7tVSsQlRJO9Ow+P2PQio0yvUS4iqvkkJIYQQIqgUNYBWSNu3b+fNN99k8+bNeDweunTpwuTJk+nQoUN1zLFKfG0jKoQQQlSVOzub/X37odpsvmXTKAqK2UzL1atkqWZtlZJ8JiilqmDfDTk/gusYAKpixhnalwfzhrPcFoNV5+HX+COYFRV9YXzMpeg5aWnA0dDG2A1nunKZXAU0zD9CvYLjGCvIMAO0YNvQayA+vvS+8oJXPvKoYO/eA0uXzr4PKvm+lMdg0LLh4hP8nlNNkZGWy+4Nydra2Moo0LZHAlGx4dU+LyGEuFjYbDYOHTpE06ZNMfv7cEdc8Cr6+fA1VuR3phlAhw4dmD17diBDhRBCiAtW1oIFvgfMAFQV1WYja8F3xNx+W/AnpKpgs4HLCQYjmM2y1ACtOUNGvpM8u4swk4HoUGNgy+VSkuH7peDxgGO/FixzFtavU0Ig7AqUsCvRKxZmROQy/oSF5kYnFkVFV+JyBtVNw/wjNMg/gksx4Nbp0XvcGFRXcdH/op+oMmdpMMCgIWUHzEDL5urQUcvuys7G/eUX4PEUB+0q4lYBvR5Lu7Y+vSXAmfelsv8OXC7tuKHDam3gLDo2nDY9Eti7MaXCjDOdXqF193gJmAkhhBC1TEBBM4/Hw4EDB0hLS8Pj8W653adPn6BMTAghhKhNVFUlfc6cgMamz/mc6NuSglfn6AJfFheorAIn8zenMnv9Yf5Ozy/efklMKGN7NeGGrnFEWoy+ncxu1zKpbAchdzk4DhfuMEJYLwjvA7owAPRowacZsSc57S6/ALwCGFUXRnfp7CzFZIYQI+TknNno7/dTUSAyEv3QoahLl+JW1QoDZ24VdIqCMmSo7z8vRe+LH4Fjli+DpNtr7c9kdGw43QYncjI5k6N/pXs1BzCFGmnULIZ6CVFS/F8IIWo4VVXJtGeS78on1BBKlEk6nosAgmYbNmxg9OjR/P3335y9slNRFNzuSpYPCCGEEBcgd2amV5dMn6kqzuQU3JmZGKKjCzep2DwFuDxODDojZp3F95u2ipbFZWfD+nVaV8VavizOX6v3neS+OZspcJS+T0lOz+elxbt4c/leZiR1pW9ivcpP+Ot8OPEhOA4UbjBA6OUQ3g/0EaUO1ytgARKMAd4n2W1w8y1a4MvpAGOIFmQK5GY+PgFl2DB0y5ehulyoKl6Zbx5VO63OaECpKIOtLPv2+l8/zeXSxnXo6N+4GsRg1NOweR0aNIvB5XTjdnnQG3QYjHr5hUsIIWq4bEc2Cw8sZN6eeaTknLmXi4+IZ3Tr0YxoMQJryLkvo/HCCy+wYMECtm7des6vDTBu3DgyMzNZsGBBucf069ePSy+9lGnTpp2zeZ1rfgfNJkyYQLdu3ViyZAkNGzaUGwEhhBAC8OTlV35QJePtVgv78nayI3sL2a7M4n1WQxTtrV1IDGuHSV9BvY6LaFmcP1bvO8n4mRtRKbv0VNG2Aqeb8TM3MnN89/IDZ0e3wspXYP/ywg16CO0G4VeBPjLoc/fickKEVVtmW1XxCShJt5eZkahEWlECyUhUVe1cgdix/Uznz1pMURSMIQaMIed7JkIIIXyx7sg6Jq2ahM1lK7UvNSeV1ze9zvQ/pvNOv3fo3bh30K47fPhwCgoKWLFiRal9v/76K7169WL16tX885//DNo1/fXuu++WSpS6GPkdNNu/fz9ff/01LVq0qI75CCGEELWSLiy0SuOP60/xY+pXuFRnqX3ZrkzWp//Mxow1DIq9jnhL09InCPKyOFVVcWdm4snLRxcWij6qdi5RyCpwct+czVrArJK3RlUBBe6bs5lfnxrgvVTzxE5Y+SrsWVy4QQeWLlqwzBDj01x0VX37gh2JKax1prTvoP38FGawKYFmsNlsATUaALRxdntwAoJCCCGED9YdWcf9P92PqqqoZTxWK9pmc9m4/6f7+WDAB0ELnN15552MGjWKv//+m0suucRr36effsqll156TkpfORwOQkK87y/cbjeKohAZWc0PA2sJnb8DLr/8cg4cOFD5gUIIIcRFRB8VhTEh3v9gg6KgxDXkB9vyMgNmJblUJ9+fmE9KwaHSO6uyLK4Ed3Y26Z99xsHBg9nfsxcHBw7U/h48mPTPPsMdaFDkPJm/OZUCh9uvWGKBw803W1K1Daf2w9d3wIzehQEzBdpcD/Uegah/+BwwK8kTyENbq7X6an4pihasKspiCzQ46qr457dSTkfVxgshhBA+ynZkM2nVpHIDZiWpqKiqyqRVk8h2BOc+6NprryU2NpZZs2Z5bc/Pz+fLL7/kzjvv5IUXXuDSSy8FYNmyZZjNZjIzM72OnzhxIn379i3+ev369fTp0weLxUJ8fDwTJ04kLy+veH+TJk14+eWXGTduHJGRkdx9993MmjWLqKgoFi9eTNu2bTGZTPz999+MGzeOkSNHFo/Ny8vj9ttvJzw8nIYNG/LWW2+Vel1z5syhW7duRERE0KBBA0aPHk1aWprXMbt27WLYsGGEh4dTv359brvtNk6dOhXYG3kO+B00++c//8mjjz7KrFmz2Lx5M9u2bfP6I4QQQlyMFEUhJikpoLEHhzdF9TFOoaKyPO077O4SywiquiyuMKKUu2Yt+/v248SUqThTUr0Oc6akcmLKVPb37UfumrUBXUpVVVwZGThSj+DKyAh6yr+qqqTnOUhJzyc9z4HH42H2+sMBnWvZmg2o306A97vDjvmACm2vg/t/hREzwFA3qHOvVG1YumjwsYlCeWRNoxBCiHNk4YGF2Fy2SgNmRVRUbC4biw4uCsr1DQYDt99+O7NmzfK6H/rqq69wOByMGTPG6/iBAwcSFRXF/Pnzi7e53W7+97//FR+7fft2Bg8ezKhRo9i2bRtffvkla9eu5cEHH/Q61xtvvEH79u3ZvHkzzz77LKAF66ZMmcJ//vMfdu7cSWxsbKk5P/7446xcuZJvv/2W5cuXs2rVKjZv3ux1jMPh4KWXXuLPP/9kwYIFHDp0iHHjxhXvP3bsGH379uXSSy/l999/54cffuDEiRPcdNNNgb2R54DfyzNvuOEGAO64447ibYqioKqqNAIQQghxUYscOZK0d6ah2my+LZPU6VBNRo4NKGO5ZQVcqpN9eTvpYO2qbQjCsrjcTb+Tcu+92rzLmnvhNtVmI+Xee4n/6CPCr7zCp0u4s7PJWrCA9DlzvJolGBPiiUlKInLkSPTWwAvsltcVMy7KQmpmgV/nashp/mn4lhsLVqP8WXhPkzgU+j8NDTpo77XTAeHhkJtb6flUwKUYcOv0KG43x50qdfUezFTcudKLwaDVF6vpzGYtIy6Qn8XqzKQTQgghSlBVlXl75gU0du7uuYxuPTooJSvuuOMO3njjDVatWkX//v0BbWnmqFGjiC5sDlVEr9dz8803M2/ePO68804AfvrpJzIyMrjxxhsBLRg2evRoHn74YQBatmzJ9OnT6du3LzNmzMBcWALhqquu4rHHHis+99q1a3E6nXzwwQd06tSpzLnm5uby//7f/+Ozzz7j6quvBmD27NnExcWVek1FmjVrxvTp0+nevTu5ubmEh4czY8YMunTpwquvvlp83Keffkp8fDz79u0jMTHR7/exuvkdNDt0qIwlIUIIIYRAb7USN326FnyCigNnhTdbfz1/De5w/4MFO7K30D6ii3bTVsVlce70dFInTiw/YFZS4f7UiRNpuXpVpcGu3DVrSZ04UQsknqUoey3tnWnETZ/ucxCupIq6YvoTMKtHBg8YvuNW/c+YFG2Za0FCXyyDnod67bVlrKvm+RwQcil60iwNOBbaGLvBUrw9327nfyczmGg4AKq7wsCZivZgkkFDakdASVG0jLj16/wfWxsy6YQQQlwQMu2ZXl0yfaWikpKTQpY9iyhzVJXn0bp1a3r16sWnn35K//79OXjwIGvWrGH58uVlHj9mzBh69uzJ0aNHadSoEXPnzmXYsGHFAbbNmzdz4MAB5s6de2bOqorH4+HQoUO0adMGgG7dupU6d0hICB07lt/F+uDBgzgcDnr27Fm8LSYmhlatvB/q/fHHH7zwwgts3bqV9PR0PB4PAMnJybRt25bNmzezcuVKwsPDy7zGBRE0O7tInRBCCCHOCL/yCuI/+sg7UFQyEFUYGFDMZmLffYNfErYEdJ1sVyZ2jw2z3lLlZXHZP/7oe3YcgKqi2mxkLfiOmNtvK/ew3DVrqy17DSrviumLGLK517CIsfrlmBUt+LjB04Y3nTfyyc3/xJJ+HOZ85le9uIyQaPZGtcOjlK6CYQ4JoWfj+mzwxJKYuZP6jnTAu0mAR9V+TBSDQQuYxccH+OrOg8RWsPE3/+rr1ZZMOiGEEBeEfFfVOp7nufKIIiooc7nzzjt58MEHef/995k5cyaXXHIJAwYMKPPY7t2707x5c7744gvuu+8+vv32W2bOnFm83+PxcO+99zJx4sRSYxMSznRLDwsLK7XfYrFUmD3nS0mNvLw8Bg0axKBBg5gzZw716tUjOTmZwYMH43A4iuc4fPhwXnvttVLjGzZsWOk1zge/g2ZCCCGEqFj4lVfQcvUqshZ8R/qcz72XJMbHEZN0G5HXjyTf7IEjgQXNAJwehxY0q8KyONVq5fTM2QFdP33O50TfllTmTZY7O7vastfAv66YZbGSyz2GJYzX/0CYYgdgs6clb7lu5FdPOxJiwog6fRx+WOrXBTJCotkd3UH7ooz3RVe0TQcHYtrz9d+HGK4/RhPjmSCTPTQMS+dLtUBSbcgwK8lkgkGD4Xsf37falEknhBDighBqqFrH8zBD6aBToG666SYeeugh5s2bx+zZs7n77rsrDF6NHj2auXPnEhcXh06n45prrine16VLF3bu3EmLFi2CNr8iLVq0wGg0smHDhuIAXEZGBvv27StuRLBnzx5OnTrF1KlTiS984Pf77797nadLly7Mnz+fJk2aYDDUjnBU7ZilEEIIUcvorVZibr+N6NuScGdm4snLRxcWij4qqvhmyOCu2pNOo66wcHoVlsV5mrXwCur5TFVxJqfgzszEcFbdDYCsBQuqJXutSHFXTD+nHU4+d+h/4C7DUqyK9v5v9zThLdeNrPJcCigowD09GqP8uMyvgJlL0bM3qp32RSVLDXWKgkdVaRffhGGbdTSPCuH2bg0Z0jmBiMjw2r1UMT4Bhg6D5csqzjirjZl0Qgghar0oUxTxEfGk5qT63AgAtDuEuIg4Ik2RQZtLeHg4N998M08//TRZWVleRfPLMmbMGF588UVeeeUV/vGPfxTXKQOYPHkyPXr04IEHHuDuu+8mLCyM3bt38+OPP/Lee+9VeZ533nknjz/+OHXq1KF+/fo888wz6HRnsuoTEhIICQnhvffeY8KECezYsYOXXnrJ6zwPPPAAn3zyCbfeeiuPP/44devW5cCBA3zxxRd88skn6PX6Ks2zOvjdPVMIIYQoi6qqZNgyOJJ7hAxb8Dsj1laKomCIjiYkrjGG6Givp4dmnQWrISqg81oNUZh0Z26USGylBSH8YTDgjq0f0PWLePJKB/5UVSV9zpyAzpc+5/NKf3ZUVfW7K6YFGxP0C1ljephHjF9jVfLZ44nnHsckhjteYZWnM6CgU8ASomdUeJ5/SwyBNEsDbUmmjwEvnaJg1utYlNSNhY8N4Mb+7YiIiqjdAbMi8QmQdDv06q1lQZZktWrbk26XgJkQQohzTlEURrceHdDYMW3GBKUJQEl33nknGRkZDBw40GsZZVlatmzJZZddxrZt20p12OzYsSOrV69m//79XHnllXTu3Jlnn302aMse33jjDfr06cOIESMYOHAgV1xxBV27di3eX69ePWbNmsVXX31F27ZtmTp1Km+++abXORo1asS6detwu90MHjyY9u3b89BDDxEZGekVgKtJFPUC/60mOzubyMhIsrKysFahM5cQQoiyZTuyWXhgIfP2zPMqqhofEc/o1qMZ0WIE1hD5/295tmdvZn36z36P6xVz1ZnumUVSkv1bFjf0Glzh4ezv2cvv6xdp+ev6UplmroyMoJ+zpPQ8B11e+tGnc5lwMEb/E/cZvqOeoi1fPehpyDTXDSz29EAt8fxQUUABZo27jD5bfvRruasKbKnbHbve7HfQyxRqpMvAFkG/Ca8xVBXsdq3rqDFEW4p5ob5WIYQQ55TNZuPQoUM0bdrUK+uqMtmObAZ+NRCby+ZTtpkOHSaDiRU3rpD72lqkop8PX2NFNTOUJ4QQolZYd2QdA78ayOubXic1J9VrX2pOKq9vep2BXw1k3ZEAuuldJBLD2mFQ/Cnkr2BQjCSGtSu9q2hZXGUZZwYDDL0G4uPRR0VhTIj3P4ihKBjj48kyhpKSnk96nqM4Q6ys7DN/VDY+z155BpgRF0n6H1ltmsRzxs+pp2TztyeWRxwTGOx4nUWeXsUBM6Xwj8WoZ9b47vRJiPC7PpxLMWhdMgMIBtnznbicpbt/XjAURau7F2HV/paAmRBCiPPMGmLlnX7voChKYWGG8iloT9Wm9ZsmAbOLkN81zaLPWlpSRFEUzGYzLVq0YNy4cYwfPz4oExRCCFEzrTuyjvt/uh9VVct8Qle0zeaycf9P9/PBgA/o3bj3uZ5mjWfSmxkUex3fn5jv05NOBRgUex0mfTlPU4uWxe3bCzu2ewd/rFat9lmJAvOKohCTlMSJKVP9mreqwpxGPZj18oribZfEhDK2VxNGNqtagVxdWMUFesNM5d++GHAxSr+GiYZviVNOAXBErcN7ruv52t0HFwbioi2kZhQUj0mICWVc7ybc0DUOq9kIOf43VHDrqlaDw+3yYAyp0imEEEII4YfejXvzwYAPmLRqEjaX1vG85L1YUTDNbDAzrd80ejUOPIte1F5+B82ee+45XnnlFYYOHUr37t1RVZVNmzbxww8/8MADD3Do0CHuu+8+XC4Xd999d3XMWQghxHmW7chm0qpJ5QbMSlJRQYVJqyZJSns54i1NGVr/BpanfYdLdZZ7nEExMij2OuItTSs+ockEHTpqATIflsVFjhxJ2jvTfC7c70bBoTfydZ2OXtuT0/N5afEu3jTq+LJBIwwnjvnX2lJRMMbHoY+KqvCw6FAjl8SEkpyeX/zTp8PDCN16HjLMp6nuBABpahT/57qOL9xX4cCIghbYW/lYX7IKXOTaXYSbDESFGr0fCBr8yfzT6D1VyxTTGyT5XwghhDjXejfuzYobV7Do4CLm7p7rVWokLiKOMW3GMKL5CCJCIs7jLMX55HfQbO3atbz88stMmDDBa/tHH33E8uXLmT9/Ph07dmT69OkSNBNCiAvUwgMLfa4BAVrgzOaysejgIsa0GVP5gItQvKUpSXET2Je3kx3ZW8h2ZRbvsxqiaB/RmURjS0wuBQoKfFvmVrQsrpIaH3qrlbjp00m5915tQwWBLk/hEoWXLx9LbojFa1/RqAKXh/9X7zLuObGwkgUPpcUk3VZpbS9FURjbqwkvLd6Fgoehuo1MMsynpe4IAKfVCGa4RjDHPRAbJq+x43o3QafTER0WQnRYOaldZrOWlefHEk2D6sLkKgi4ppnBWPO6RQkhhBAXA2uIlTFtxjC69Wiy7FnkufIIM4QRaYq8cOuNCp/53QggPDycrVu30qJFC6/tBw4c4NJLLyU3N5eDBw/SsWNH8vLygjrZQEgjACGECC5VVbnm22sCbtO95PolcgNSCVVVsXtsOD0OjE4V04G/UXbuqHSpZVXlrllL6sSJWsaZNpEzOxUFj6pi14fw8uVj2RLbqsJzhTsL+OyHl7B4nL5lm+l0KCYTLVevQu/D53VWvoOnp77OA/yPtrq/tW1qKB+5rmWWewj5eAcKdQqYjXp+fWoAkRYfMsm2b4P1/tXiOxramMPW5uBnqLBp+/o0bF7HrzFCCCGECLwRgLg4nJdGADExMSxatKjU9kWLFhETEwNAXl4eERGSviiEEBeiTHsmKTkpfgXMQMs2S8lJIcueVU0zu3AoioJZbyHieBbm/36F8uv60llP2dlaUGfOZ1rXzCAIv/IKWq5eRf2nnsIYH+e1z1a3AR93uI6kIc9WGjADyDVaeKX7WFRF8S0jDoh7773KA2aqCgdWEDlnMO/r3qCt7m9yVAvvukZxpf1dPnCPLBUwK7r8h0ldfQuYgRaMrKyhwllinafQ6f27tdLpFeolRPk1RgghhBBCnBt+L8989tlnue+++1i5ciXdu3dHURQ2btzI0qVL+fDDDwH48ccf6du3b9AnK4QQ4vzLd1WtM2KeK48oooIzmQtZSjJ8v7TyLC2XSztu6DCtCUAV6a1WYm6/jejbknBnZuLJy0cXGsqAT/4gOaPAr1DplvqteG/g/Ty05v8VZ6/pTSZ0IUY8Diduux0AxWwm7r33CL+ikkYRh9bAzy9Dygbta2MoyS1v4+Ydl3HcVbp5QFGozmLU82FSV/ok1vN98iYTDBrs2/cAQFEwXH01rUzR7N6QjE9vlAKtu8fL0kwhhBBCiBrK76DZ3XffTdu2bfm///s/vvnmG1RVpXXr1qxevZpevbRuEo8++mjQJyqEEKJmCDVU3NmwMmGGqnVWvCjY7bB8me9F9FVVOz7p9qAt1VQUBUN0NERHk57n4O8S3SZ9pQLfhzbhlYWLMf34PcaMdELCw4v3O3JzcUbHYL5uJPo6FSxPTP4NVr4Mh37Rvtab4LK74IqHSQiP5YfhTr7ZksqsdYf5O/1MULdUV0x/xSdowcjly7TgZHkMBhg0BOLjiQba9Ehg78YUPO7yv386vULr7vFExYaXe4wQQvhLVVUKcrJx2mwYzWYsEVYpiSCEEFXgd9AMoHfv3vTuXcnTYCGEEBekKFMU8RHxAdc0izRFVuPsLhD79lYcpCmLy6WN69Cx8mP9oKoqRzICzy7sYykgatkSdG4Xarh3gMgYHk6I0wELvtGyus7OlDv6B+rPr6Ac+FGbi84IXcai9HkUrI2KD4u0GBnfuynjejUhM99ZflfMQMQnaMHIfXthx3af6spFx4bTbXAiJ5MzOfpXOvb8Mx1RTaFGGjWLoV5ClGSYCSGCxpaXy67VP7Hlh0VknThevD2yfgO6DBlO274DMIdJkF6Iiqiqis1TgMvjxKAzYtZZJOgsAguaud1uFixYwO7du1EUhbZt2zJixAj0ern5E0KIC52iKIxuPZrXN73u99gxbcbIzUdlVFULzgRix3YtiBOE9zirwMn8zanMXu+dveWPPpYCZtY/ieLWvj57VkVfq4VLTHP7DyK8RVOUEztx//Qy+v3fo6B17NxKO1Z7Lkd3MIHL6ybTqVM0Fot3905FUSruihkok0kLRrbvoGUBOh1gDNG2l/NeG4x6GjavQ4NmMbicbtwuD3qDDoNRL/8NCCGC6vDWzSx8ewpOh73Uvqy0E6z87D+s/eJzRjzyFE0u7XoeZihEzWZ328rvXm7tQmJYO0z62tlkYNasWTz88MNkZmZW6TyrVq2if//+ZGRkEBUVVa3Xqmn8DpodOHCAYcOGceTIEVq1aoWqquzbt4/4+HiWLFlC8+bNq2OeQgghapARLUYw/Y/p2Fw2n7LNdOgwGUwMbz78HMzOd6qqkpHvJM/uIsxkIDoYmUlVZbOVLvrvq+xsLajjb/coVYX8dHDkQkg4q1Pd3Dd3CwUOd2DzAKw6DzNiTwGV95JUALdHRf/D56zJ3EAf93r0aMs7t9Ga1fQkvagOXkYGP/zwAz/99BM333xzqW7e1UpRtPfWj/dXURSMIQaMVYjjyZNvIUR5Dm/dzDevvYiqqmUv6S/c5nTY+ea1Fxk1+XkJnAlRQkrBIZanfYdLdZbal+3KZH36z2zMWMOg2OuItzQN6rXHjRvH7NmzS20fPHgwP/zwQ1CvVVW9evXi2LFjREZefCtG/A6aTZw4kebNm7Nhw4bibpmnT58mKSmJiRMnsmTJkqBPUgghRM1iDbHyTr93uP+n+0GlwsCZggIKTOs3DWtIJZ0Rz5HysqguiQllbC+tBpbPXRaDzVX6ps0vTofvQZ2CTPjzv/DbR5BxqHhzE099bvYMYj59yCawGnQ3hOdiUVR0vsR2XKfR567AUrCVPoU/SzvUlqxWenKSsmudOZ1O5s6dy5gxY85t4OwcupCffAshqs6Wl8vCt6eUHzArSdU+qRe+PYV7ZsySpZpCoAXMvj8xv9IHwC7Vyfcn5jO0/g1BD5wNGTKEmTNnem0zBak+bbA4nU5CQkJo0KDB+Z7KeeFfX3Rg9erVvP7668UBM4A6deowdepUVq9eHdTJCSGEqLl6N+7NBwM+wGwwoxT+U1LRNrPBzIwBM+jVuNd5mqm31ftO0nPKT7y0eBfJZy07TE7P56XFu+g55SdW7zt5fiZoqGKwzteUpgMr4O228MNTkHHYa1e8ksaz+jn8anqQPro/A5iEyjhrbuWHuTMhcz6cfAsK/kBBZS/N+UBN4mvl2nIDZsVXUVW+/PJLCgr8b1JQ06UUHGJO6oesT//ZK2AGZ558z0n9kJSCQ2WfQAhxwdu1+idtSaYfTWOcDju7fvm5eicmRC1gd9tYnvadz/V5VVSWp32H3W0L6jxMJhMNGjTw+hMdHc3hw4dRFIWtW7cWH5uZmYmiKKxatQrQlkwqisKSJUvo1KkTZrOZyy+/nO3bKy7zsWjRIrp27YrZbKZZs2a8+OKLuErU0lUUhQ8//JDrrruOsLAwXn755eJrlVx6OWvWLBISEggNDeX666/n9OnTXtc5ePAg1113HfXr1yc8PJzLLruMFStWeB3jcDh44oknaNy4MWFhYVx++eXFr6+m8DtoZjKZyMnJKbU9NzeXkJAg1xARQghRo/Vu3JsVN65gcvfJxEXEee2Li4hjcvfJ/HTjTzUqYDZ+5kYKnG5UKHWbVLStwOlm/MyN5ydwZjZrBeYDYbX61j3zwAqYexM4C6CMd0KnqOgUFTMOZhrf8DtwFqP3cInRVX6WmTsbsr6DtDegYBPgAVMi28Pu5L+MIE2p5/O1nE4nf/4ZSGCveqiqitPuwpbvwGl3aRkgfip68l3WUpGSip58S+BMiIuPqqps+WGR7wGzErZ8vzCg/zcJcSHZl7ez0s/Zs7lUJ/vydlbTjAL3+OOP8+abb7Jp0yZiY2MZMWIETmfZr23ZsmXFqwR37drFRx99xKxZs3jllVe8jnv++ee57rrr2L59O3fccUep8/z222/ccccd3H///WzdupX+/fvz8ssvex2Tm5vLsGHDWLFiBX/88QeDBw9m+PDhJCcnFx8zfvx41q1bxxdffMG2bdu48cYbGTJkCPv37w/COxMcfi/PvPbaa7nnnnv4f//v/9G9e3dAe8MmTJjAiBEjgj5BIYQQNZs1xMqYNmMY3Xo0WfYs8lx5hBnCiDRF1qi6S1kFTu6bs1kLEVW+igUUuG/OZn59asC5XaqpKFrB+fXr/B9b2ARAVVUy7Znku/IJNYQSZYo6870oyIQvby98kZ4KT6dXVNwqzDBOo6f9/ypdqln03Y4JKef77s6FvFWQtwEofKIZ0gwiBqEaL+Hnk6cB/+uo/fbbb1x++eXn9efN5XSTlpzJsTK6ZTZsFkOsj90yA33ynRQ3QZZqCnERKcjJ9uqS6TNVJevEcWy5OVgiakbJBCHONVVV2ZG9JaCxO7K30D6iS9DuORYvXkz4Wd3FJ0+ezG233ebzOZ5//nmuvvpqAGbPnk1cXBzffvstN910U6ljX3nlFZ588knGjh0LQLNmzXjppZd44okneP7554uPGz16tFew7NAh7wd07777LoMHD+bJJ58EIDExkfXr13vVYuvUqROdOnUq/vrll1/m22+/ZeHChTz44IMcPHiQ//73v6SmptKokdYV/bHHHuOHH35g5syZvPrqqz6/B9XJ76DZ9OnTGTt2LD179sRo1H6JcLlcjBgxgnfffTfoExRCCFE7KIpClDmKqKKC7TXM/M2pFDjcPoYitJhSgcPNN1tSGd87uPUrKpXYCjb+BiVS5StlMJDdpBELd81h3p55pOSkFO+Kj4hndOvRjGgxAuuf/wVnPqXz7MqmV1QsqoNR+jXMcg+p8NiEmFDG9W7CP9rVhS/nnNnhyYfcXyB/PagObZvxEoi4GkxaPbJ8j4cMd2CNBzIyMjh6OotGdc5PoDYjLZe9G1PwuEu/p/Z8J4d3nCB5dxqtuscTHVtxHaGqPPnuYA2suLeqqrgcbtxuD3q9DkOIdPgUoqZz2qq2RMxRUCBBM3HRsnkKSpU+8FW2KxO7x4ZZb6n8YB/079+fGTNmeG2LiYkh24+mUD179vQa26pVK3bv3l3msZs3b2bTpk1emWVutxubzUZ+fj6hoaEAdOvWrcJr7t69m+uvv77UPEoGzfLy8njxxRdZvHgxR48exeVyUVBQUJxptmXLFlRVJTEx0es8drudOnUqLtFxLvkdNIuKiuK7775j//797NmzB1VVadu27QVbhFcIIUTtp6oqs9cfDmjsrHWHGderybkNIphMMGgwfL/U56U3+9o34IHvrueEK6tUu8rUnFRe3/Q60/+YzjuZdnoHMKVx+mXMcg+mvF6YS/55BW0bWbX3SVW1paKZaZC3BvLWgmrXDjQ2hvBBYErUsuoKOTxVWyo0+K2fqRMdfc4bOWSk5bJ7Q3KlMUiPW2X3hmTa9EgoN3B2rp98Bys7Tghx7hn97ZJ8lhBLcH7hF6I2cnmq1nTJ6XEELWgWFhZWZiwlN1erDVtyKXV5Sy7LUt79gMfj4cUXX2TUqFGl9plL/H8lLKzi1QW+LPF+/PHHWbZsGW+++SYtWrTAYrHwj3/8A4fDUTwXvV7P5s2b0eu97zfOzr47n/wOmhVp2bIlLVu2DOZchBBCiGqRke/06pLpKxX4Oz2fzHwn0WHnuG5nfAIMHQbLl/mUcZa4NZUfGU2yksU8/XYW6veQo2g3JUVL/WwuG/eHefgg10TvAt+zFHSKShPlBFHkkklEmcc0jDSTke8kz+4iTLERbdiKkvY5qIVF+g0NCjPL2noFy4qE+NRms3xOVV/cyOHN5XuZkdSVvom+10YLhMvpZu/GFF+T9kCFvRtT6DY4scxg1Ll88h3M7DghxLlnibASWb8BWWkn/KtrpihExtbHHF72/8uFuBgYdFV7sGbUVf89Yb162j3MsWPH6Ny5M4BXU4CSNmzYQEJCAqBl3+/bt4/WrVuXeWyXLl3Yu3dvlZOe2rZty4YNG0rNo6Q1a9Ywbty44oy03NxcDh8+XLy/c+fOuN1u0tLSuPLKK6s0n+rkU9DskUce8fmEb7/9dsCTEUIIIapDnt2PZY7FVBR9PujsHMk+RVRow3O/ZC0+AcbcBrt2wu5dkFu6I2Vh+bVicWoET7h6M9F1OZOMP7Ben1LiWO0Xq0mxdVmRcgSrn9ld4YqNTNX7Fy0FiAo1MvL9dZzIyCJJ/yP3GRahKNqyAlVfDyXiajC3B6X8/kMmFKL0ejJc7rJiauVSVchRTdg5E4QqauQwc3z3ag2cpSVnlhl0qojHrXIyOZOGzUsvOzhXT779zY5L7NKY8BiLLN0UogZRFIUuQ4az8rP/+D22y9AR8t+xuKiZdRashqiAHlRZDVGYdMGrIWq32zl+3Ls+ocFgoG7duvTo0YOpU6fSpEkTTp06xb/+9a8yz/Hvf/+bOnXqUL9+fZ555hnq1q3LyJEjyzz2ueee49prryU+Pp4bb7wRnU7Htm3b2L59e6lC/hWZOHEivXr14vXXX2fkyJEsX77ca2kmQIsWLfjmm28YPnw4iqLw7LPP4vGcqaebmJjImDFjuP3223nrrbfo3Lkzp06d4ueff6ZDhw4MGzbM5/lUJ5+CZn/88YdPJ5P/+QohhKiJwkx+JFbrCjBGbiYkZj26kHQAbl3+unddsJBzUAfGZis7WGa2gK2g+MuzP3l1hY2xTej5wHkN97PEO3CmKNiAReFhjMkuHYSrSK5a+iZRBRSHjWvdKxln+pZYJQOAw576LNNdy111m6PT6cpZ1Klxq9o9xAF3Pergf2Hr3e76lHwnzkUjB1VVOfZXekBjj/6VToNmMaXum87Fk+9AsuP2bT5S/KUs3RSi5mjbdwBrv/gcp8PuU7aZoigYQky07XPVOZidEDWXoii0t3ZhffrPfo9tbw1eEwCAH374gYYNG3pta9WqFXv27OHTTz/ljjvuoFu3brRq1YrXX3+dQYMGlTrH1KlTeeihh9i/fz+dOnVi4cKFhISUfU8wePBgFi9ezL///W9ef/11jEYjrVu35q677vJr3j169OA///kPzz//PC+88AIDBw7kX//6Fy+99FLxMe+88w533HEHvXr1om7dukyePLlUrbaZM2fy8ssv8+ijj3LkyBHq1KlDz549a0zADEBRL/B+w9nZ2URGRpKVlYXVKsUuhRDiYqSqKv3eWEVyen6FsQJ92D4scXOgcFljyXsipTAoYzaYeaffO/RuHEhlMB/Y7fDbBi1YVkVuPNhxM9A0u3ipJoCiqsS5XCxJPVZhMKuIR1VIVmPp53ibouBUqF5Hv7pm7rKsp93pzzA5tWBXvqE+84038Ub25WS7dfS1FPBB7ClCddo7r3idV/u7QFWYkFaX3wqM3Gj6EwMen7LNPCq40fGVvROOMp4DKsBzw9uW2chBVVXcmZl48vLRhYWij4ry6ybYaXex6Yd9Ph9/tsuGJmIM8Z6zqqp8ceQ/AT/5vqXxXZW+hqMHT3N4xwm/z382nV6RpZtC1ACHt27mm9de1OoLVfRrnaKgKAqjnnyBJp26nLsJClHNbDYbhw4domnTpl41uSpjd9uYk/qhH813FAyKoUZ1q161ahX9+/cnIyODqKio8z2dGqminw9fY0Xlr5MQQgghLhCKojC2V5MKj9GH7cMSPxMUJ4pSuuyWWviPzWXj/p/uZ92RdcGfaEoyfD47KAEzAD06zBgY7m7ltV1VFFKMRrJ0vt8GlGwCcKk1hK+b7eStggfocvx1TM7jOAx1+SvuUf5o+yVNW93KtK5N6RhpYXWBhZ6pjZmSGYMrzHtpZ7LLwL/To+mR3Jg1BRYcGFjpbIFK5UkTRftXOluUGTArnve6w17Fat3Z2aR/9hkHBw9mf89eHBw4UPt78GDSP/sMt4/dqtxuT+UHVTTeVXp80ZPvQPjy5Lsq2XFnK1q6mZHmX7aiECK4mlzalVGTn8cYYqLMD6/CbcYQkwTMhCjBpDczKPa64oeilVGAQbHX1ZiAmTh3JGgmhBDionBD1zgsIfqyM5h0BVqGGaAoFUdrVFRUVWXSqklkO3xvB16plGStW6bbHbxzAqAyxt2xzOV4eT4U33erCgWE8I37ShQ83B++mXnKo7RNeQmL4whOQzSHGk9kS7uvOF7vHyh6EzpFIUSn8Hib+nSMtJDt1vFJRjhzmvRi3RXDuTK1EZ2TG9MvtSGzsiPIUc/cjhz1RLLCmYgLXZmBs6JkChc6VjgTOeqJrOCVn2nkAJC7Zi37+/bjxJSpOFNSvY51pqRyYspU9vftR+6atZW+L3p91W6h9IayxyeGtcOg+LNMU8GgGEkMa1fpkS6H26tLZpUVNjZwOYP9MyuE8EeTS7tyz4xZ9B97N5Gx9b32RcbWp//Yu7n3w9kSMBPiLPGWpgytf0Oln7sGxcjQ+jcQbymduS4ufAF3zxRCCCFqKlVVybRnku/KJ9QQSpQpikiLkRlJXRk/cyMo3plMxsjNoDh8LkBflHG26OAixrQZU/UJ2+1al8xqqJigQ0eCGkkkJrKwe+0L81T8gj1oGQoTHA9zuW43jxq/prUrGVzg1EdwNDaJY/X+gUcfWvq6ioJHVXm4VSwPbk6hwO1h1vq/WfV4P16+zcR9czajFAYIS75qBTjmiWSx2oUnLjNz6q+dZGRkFO/PUU3sdtfngLsOTh9vY3LtLoxbNpJy771nom5nK9ym2myk3Hsv8R99RPiVV5R7TkOIHlOoMaAglCnUWG49sKIn39+fmF/cuKEi/jz5rmp2XFkqamwghDh3zGHhdBk6gs5DhmPLzcFRUECIxYI5PELqTgtRgXhLU5LiJrAvbyc7srd4lUiwGqJob+1CYnh7TDrT+ZtkOfr168cFXm2rRpCgmRBCiAtGtiObhQcWMm/PPFJyzhS/L1nEf+b47tw3ZzMFjqKAjUpIzPqArjd391xGtx5d9V9I9u0FVyAdPn0XpoaQpWhBMwWFOHMMkfrT4CnKEjo7dAU6gwX1ykeYuXsxhuNbAXDpwjgaeyvHYm/Gra+4npWWcQZX1gtn2fHs4qyvvon1+PWpAXyzJZVZ6w7zd3p+8ZiEmFDG9W7CDV3jsJqNqOoAjp7OYvBbP+NU9YVdMv17v0Md+aROnFh+wKykwv2pEyfScvUq9OXUuFAUhYbNYgKqD9aojCYAJRU9+V6e9l2FtVYMipFBsdf5/OS7qtlx5SmvsYEQ4txTFAVLhBVLhNRyFsJXJr2ZDtautI/ogt1jw+lxYNSFYNKZ5bNNSNBMCCHEhWHdkXVMWjUJm8tWal9qTiqvb3qd6X9M551+73gFbJKzThZ3yfSHikpKTgpZ9iyizFGBT1xVYcf2wMf7KK9EIwCAMR3vRhlxDfz5Bfz2IWQcOrMzugm0GAhHt6CsfBkDoBrDOF7/JlKib8ZlKH9JZFkGN7Sy7Li2lDXX7iI6LIRIi5HxvZsyrlcTMvOd5NpdhJsMRIUavW5QFUWhUZ1I6kRHk1wiuOYLBS0Ix7KlqDab75l8qopqs5G14Dtibr+t3MNiE6JI3p2Gx+37U16dXqFeQlSlx1XHk++qZMdVxJ7vxOV0l2psIIQQQtQmiqJg1lsw6y3neyqiBpG7GyGEELXeuiPruP+n+1FVtcwlbUXbior4fzDgA8b37s24Xk3YffJvbv4+8GvnufKIIirwE9hs4GPx+UB48JCq5BQvzdShw2QwMbz5cAixQo8JcPm9UJAB9hw4uRfWT4dNn2gnMJjhsrtwXfYgh9ZkVHClsukUhQZmI+EGHbkuD+Em71sPRVGIDgshOqzs1uhFx4zt1YSXFvvfIGFcr0vI+PcUv8cBpM/5nOjbksp9ymww6mnVPZ7dG5LLrBlXigKtu8eXuzTzbMF+8l2V7LjKuF0ejOV/C4UQQgghaiVpBCCEEOLcUFUoKICcbO3vINVgyHZkM2nVpHIDZl5TOKuIv6IoNLT6lzV1tjBDWJXG4wpu1k9pCnP120DRlmWiwLR+07CGlFi6oyhaptmSR2DejXB4DeiMcNndMHErDH4Ft7lqNasseh2XxIQSFepPkfszKmzkUAadApYQPdc1C8eZnOL/z5uq4kxOwZ2ZWeFh0bHhtOmRgE5f8cR0eoW2PRKIiq14SWtZip58RxgjMestVVoqEpsQVelcA1FeYwMhhBBCiNpMMs2EEEJUL7tdq9m1Y7t3RpXVCu07QGIrMAVeXHXhgYXYXDafiqZD6SL+UaYo4iPiSc1J9fkcUFgXLCKOSFPVgm4YAgsi+cKNBztuFuv3oaBgNpiZ1m8avRr3OnPQ8e2w8lXYu1T7WtFD5yTo8zhExRcfVtV6WDa3h/t7Nwk44FNRI4ezFV3iw6SuhHscVCWvypOXD9HRFR4THRtOt8GJnEzO5Ohf6V7LH02hRho1i6FeQpTPGWbVye/sOB9U1NhACCGEEKI2k6CZEEKI6pOSrHWFLKvIfXY2rF8HG3+DQYMhPsHv06uqyrw98/waYzaYCNEb+Wrf/7i11a3odDpGtx7N65te9/v6Y9qMqXqBWLNZCyAGeYmmG61T4sPGH4i0xnJ/mzGMaD6CiJAI7YCTe7Vg2a4FAKiKjvxWN+C84nEiGyeWel2B1sPyqCon7S7cOoVRXeKq9Jr6JtYro5HDGUUzthj1fJjUlT6J9XBl+L+ktCTV5cSRegRdWCj6qKgKl2o2bF6HBs1icDnduF0e9AYdBqO+xhURLsqO27sxxa96bOWprLGBEEIIURuoqoo7MxNPXn6ln/vi4qGoF3iP0uzsbCIjI8nKysJaTgcsIYQQ1SAlGb5f6tuyOEWBocP8Dpxl2DLo82WfSo8L0Rtp3aA5HRu3Jspy5rMgTG+lU2Q3GoYkMGz+NT5nrBXVBVtx4wrvZY6B2r5NCyAGiQpgMHC6TzcM8U2JNEWeuek7fRBWvwbbvwJVC6z9pL+CV/Ov46DaGIBLYkIZ20vrYBlpOZMJd/Tgab/rYXlUlTl/pzN6aGv6JNYLxssjq8BZZufNS87qvAnaDfDBwYNxpqT6v0TToAeXu/hLY0I8MUlJRI4cWW5XzdrE5XSXmR3nD51eodvgRMk0E0IIcV7YbDYOHTpE06ZNMZvNAZ3DnZ1N1oIFpM+Zo5V0KHShfe6fK7NmzeLhhx8ms4ISFy+88AILFixg69at1TqXin4+fI0VSdBMCCFE8NntMOezsjPMymMwQNLtfi3VPJJ7hCHzh1R4TEJ0I4a064tRZ0BFK0xf6tKKkca6Fkxe+UyltdEUFBRFYcaAGd7LHKsikPerSGgo5JfoKlnestfMZFj9OmydB6oWCFqhXsZbjhvYoyaUnbEVomdGUlf6Fga7XE43vy/b53N2kkdVcXhUDG3q0adNff9fWyVUVa2w82aR9M8+48SUqVWvo1d4bsVsJm76dMKvvKJq56shVFUtzo7LyShg/+9HfBuoEHCdNiGEECIYqho0y12zltSJE7Uu2+B9r1DNn/vjxo1j9uzZABgMBuLj4xk1ahQvvvgiYWFVrJl7HhUUFJCTk0NsbGy5x9SmoJlUbRVCCBF8+/b6HwByubRxfgg1hFa4PyG6Edd2uAqDzoCiKGUGzABcqpNk9x5e6/8KZoNZC4zhfWzRNrPBHNyAGWjBrUGD8bnKPYBOB8Ou1QKNY8fD6DHa37eMhg4dzwTMso/Ckkdhehf443NQ3Zxu2JfrHC9zt2MSu88KmIGWqaYCBU4342duZPW+k8CZelj4ME2PqqIoCq26x1VLwAzOdN6MjwklOiyk3CUUkSNHopjN/r2/ZVFVUFVUm42Ue+8ld83aqp2vhlAUBWOIAXNoCPUaR9KmZ/U2NhBCCCFqgtw1a0m5914tYFb4Ge/lHHzuDxkyhGPHjvHXX3/x8ssv88EHH/DYY4+VOs7prO7GUcFjsVgqDJjVNhI0E0IIEVyqqhX9D8SO7X5lAxUV8T87wAXakswh7foC5QfLSlJROeI5wNIbljC5+2TiIrzrb8VFxDG5+2R+uvGn4AbMisQnaEtUDT6UG23bFm4fB/HxWiDIbIYIq/Z30WvNPQk/PA3vXgqb/gMeJzTtQ+6YpVx55H62qc0qfatVVQue3TdnM1kF2s2ar90iDQYd7Xom0DguqvLXU830Vitx06dr700wapMU3kSnTpyIO8i16GqCosYGTdvXx3RWt1NTqJGm7evTbXCiBMyEEELUWu7sbFInTiw7WHa2avzcN5lMNGjQgPj4eEaPHs2YMWNYsGABL7zwApdeeimffvopzZo1w2QyoaoqycnJXHfddYSHh2O1Wrnppps4ccK7dMbChQvp1q0bZrOZunXrMmrUKAD+/e9/06FDh1Jz6Nq1K8899xwAHo+Hf//738TFxWEymbj00kv54Ycfio89fPgwiqLwzTff0L9/f0JDQ+nUqRO//vpr8TGzZs0iKirK6xpTp06lfv36REREcOedd2IryuwrtGnTJq6++mrq1q1LZGQkffv2ZcuWLV7HZGVlcc899xAbG4vVauWqq67izz//9P9N95MEzYQQQgSXzRZ4UfvsbG2poo8URWF069Fl7mvdoDlGncGngFkRl+rkmCOZMW3GsOT6Jay5eQ0/3PADa25ew5LrlzCmzZgzhfSDQFVV0vMcpKTnk57nQI2L1zLHul8OpjKWGISEwGXdoXuP8pex5qfDj8/Dux1hw/vgtkNCTxi7GMYu4n8nGlHgcPscm1RVKHC4+WZLavG22hhUCb/yCuI/+uhMxlkQss5Um42sBd8FZ4I1TFFjgy4DW3DZ0ES6XF3498AWNGxeR2qYCSGEqNWyFiw4k2Hmi3P0uW+xWIqzyg4cOMD//vc/5s+fX7yMceTIkaSnp7N69Wp+/PFHDh48yM0331w8fsmSJYwaNYprrrmGP/74g59++olu3boBcMcdd7Br1y42bdpUfPy2bdv4448/GDduHADvvvsub731Fm+++Sbbtm1j8ODBjBgxgv3793vN85lnnuGxxx5j69atJCYmcuutt+IqZ5XJ//73P55//nleeeUVfv/9dxo2bMgHH3zgdUxOTg5jx45lzZo1bNiwgZYtWzJs2DBycnIA7Z75mmuu4fjx4yxdupTNmzfTpUsXBgwYQHp6euBvuA+kppkQQojgysmGeXMDHz96jJY15aNsRzYDvxpYqoh/UveRRJoj/O56ZDVEcUvju6q1W1JWgZP5m1OZvb50IfunO4Yx6MifKBUtbzUYSncctWXBr+/Drx+AQ7vBoFEXuOoZaD4AFAVVVen3xiqS0/N9aHdwhgIkxISy6vF+pd6XkvWwamq3yJK0Yr/fkT7nc69iv2cX/feJomCMj6P5smU1+jULIYQQF6pAapoF3CQoyJ/748aNIzMzkwULFgCwceNGhg0bxoABA2jTpg2vvvoqR44coV49rbbsjz/+yNChQzl06BDx8fEA7Nq1i3bt2rFx40Yuu+wyevXqRbNmzZgzZ06Z1xw2bBhNmjQpDlpNmjSJrVu3snLlSgAaN27MAw88wNNPP108pnv37lx22WW8//77HD58mKZNm/Kf//yHO++802sOu3fvpnXr1qUaAfTq1YtOnToxY8aM4nP26NEDm81Wbk0zt9tNdHQ08+bN49prr+Xnn3/m+uuvJy0tDVOJB8ctWrTgiSee4J577inzPFLTTAghRM1jMFZ+TEWMIX4dbg2x8k6/d1CUM3XIzAYTURZrQDc02a5M7B5b5QcGaPW+k/Sc8hMvLd5FcomAGUCTgtMMPLwZj7OSenAul9aZNCUZ7Lnwy5swraPWFdORA/U7wC3/hbt/hhYDi7OqMvKd/O1nwAy0JZp/p+eTWUaHxZL1sIwhhhofPNJbrcTcfhvNly2j5a/rab5iBc1++N7/gBmAquJMTsFdQXcoIYQQQtQs7sxM7cGZv/lD1fC5v3jxYsLDwzGbzfTs2ZM+ffrw3nvvAXDJJZcUB8wAdu/eTXx8fHHADKBt27ZERUWxe/duALZu3cqAAQPKvd7dd9/Nf//7X2w2G06nk7lz53LHHXcAWhDp6NGj9O7d22tM7969i89fpGPHjsX/3rBhQwDS0tLKvObu3bvp2bOn17azv05LS2PChAkkJiYSGRlJZGQkubm5JCcnA7B582Zyc3OpU6cO4eHhxX8OHTrEwYMHy329weBD4RQhhBDCD2az1sExkCWaVqtf3TOL9G7cmw8GfMCkVZOwuWyE6KsWuHN6HJj1liqdoyyr951k/MyNxYX2S7LqPHwQewqASsqFaTx2+PopcPwKBae1bXVbQf+noc0IrVHAWfLsAXTnLCHX7iI6zL+gZk2lKAqG6GiIjsaR6mO3yHJ48vIhOjpIMxNCCCFEdfLk5Vd+UGXjg/S5379/f2bMmIHRaKRRo0YYjWfuYc/uoKkWNlk6W8ntFkvF96/Dhw/HZDLx7bffYjKZsNvt3HDDDV7HlLWq4OxtJedZtM/j8VR47YqMGzeOkydPMm3aNC655BJMJhM9e/bE4XAUn7thw4asWrWq1Niz66cFmwTNhBBCBJeiQPsOsH6d/2Pbdwi41lTvxr1ZceMKFh1cxFf7/hfQOYoYdcEPDGUVOLlvzubi4vpnuyE8F4uioqvs5asuyN8IuSvBU7gMM6YZ9HsK2t8AuvJrTYWZqvaxH17F8TWVLqziLqzVPV4IIYQQ505N+twPCwujRYsWPh3btm1bkpOTSUlJ8VqemZWVRZs2bQAtA+ynn35i/PjxZZ7DYDAwduxYZs6ciclk4pZbbiE0VHs9VquVRo0asXbtWvr06VM8Zv369XTv3j3g19imTRs2bNjA7bffXrxtw4YNXsesWbOGDz74gGHDhgGQkpLCqVOnivd36dKF48ePYzAYaNKkScBzCcSFefcrhBDi/EpsBRt/05YR+spg0MZVgTXEypg2Y7i11a3MO/IJeW7/s92shihMOt9qYvgqq8DJE1/9Sb7DTYRBh0mvw+72kOMqeiKnMtaaW/FJVDcUbIacn8CTpW3TR0G9a+HuaeBDdl10qJFLYkIDrmkWFVrFpbc1lD4qCmNCfMC1TfSVPOFUVRWXw43b7UGv12EIqdl134QQQogLWXV/7leXgQMH0rFjR8aMGcO0adNwuVzcf//99O3bt7jY//PPP8+AAQNo3rw5t9xyCy6Xi++//54nnnii+Dx33XVXcZBt3Trvh9yPP/44zz//PM2bN+fSSy9l5syZbN26lblzA69X/NBDDzF27Fi6devGFVdcwdy5c9m5cyfNmjUrPqZFixZ8/vnndOvWjezsbB5//HGvrLmBAwfSs2dPRo4cyWuvvUarVq04evQoS5cuZeTIkcWvvzpI0EwIIUTwmUxaofrvl/p2M6IoMGhIQEszy6LT6egU2Y316T/7Pba9tUu5AQ1VVfHku1DtbhSTHl1o5TW8Vu87yaR5m+keFcbbneNoYD4TeDpuc7L8WDbbTmfRxFhOgFF1Q8FWyP0J3IXdgXRWCL8KQruBYgCn26egmaIojO3VhJcW7yreVnYQr7RxvZtcsIEeRVGISUrixJSpfo+NSbqt3PfF5XSTlpzJsb/SsZeoB2cKNdKwWQyxCVHShVIIIYQ4x6rrc7+6KYrCggUL+Oc//0mfPn3Q6XQMGTKkuAYaQL9+/fjqq6946aWXmDp1Klar1StrDKBly5b06tWL06dPc/nll3vtmzhxItnZ2Tz66KOkpaXRtm1bFi5cSMuWLQOe980338zBgweZPHkyNpuNG264gfvuu49ly5YVH/Ppp59yzz330LlzZxISEnj11Vd57LHHvF770qVLeeaZZ7jjjjs4efIkDRo0oE+fPtSvXz/guflCumcKIYSoMlVVcWdm4snLRxcWij4qSruhSEmG5csqzjgzGLSAWYmipsFgd9uYk/ohLrV08fqyKRgUA0lxEzDpvTPNPAUu8jafIHf9UdzpZ5oE6GPMhPdqRFjX+ugspZ9Drd53kre/2c5DibGEFK671JW40fIUfgQ7PSqXZu0g2pFxZrDqAdt2yFkB7pPaNl04hPeD0MtBKREk86PjaFaBk6te/5nLokIZ1MBaZhDvl5O55Ls9hfMFs1HPr08NINJyYWaagdZVc3/ffr63n9fpUEwmWq5ehb6M+4uMtFz2bkzB4y7/XDq9Qqvu8UTHhldl6kIIIcRFK5DumRD8z/3aRFVVWrduzb333ssjjzxyvqdTrYLRPVMyzYQQQgTMnZ1N1oIFpM+Zo3UhKmRMiCcmKYnIkSPRJ90O+/bCju3ezQGsVq2GWWKroGWYlWTSmxkUex3fn5iP6sNiRAUYFHtdqYCZbV8Gp+fsQnWUzsJyp9vIWvwX2csPUyepLebEM0Vhswqc/N/CnTzWuj4K3sGyIkXbjDrYHd2BNhnbibang30n5PwIrhOFkwuF8D4Q2gvKqrfmR8dRT46d6Z3jUT2l35NYk4GkJjHclBDNtL1pbM8uAODDpK4XdMAMtK6acdOnk3LvvdqGim6gC79vce+9V27AbPeG5LKL15Xgcavs3pBMmx4JEjgTQgghzqFgfu7XJmlpaXz++eccOXKk3LpnwptkmgkhhAhI7pq1pE6cqD2hA++bjcKbC8VsJm76dMKvvELbb7eD06EFeUymgIv++yOl4BDL076rMOPMoBgZFHsd8ZamXttt+zI4NXOH9kVFn5aFL6Pu+PbFgbNZv/xFwql8QnRKmQGzUjweYrLX0yp1GoqzsJujYoKwKyHsCiivzprVCreM9um99DmYo2phxukHTvLPEe3ok1iv4gEXEJ9/rt97j/Arepca73K6+X3ZvgozzM6m0yt0G5woSzWFEEIIPwWaaVakqp/7tY2iKNStW5d3332X0aNHn+/pVDvJNBNCCHFe5K5Zqz2ZU9Wyn8wVblNtNlLuvZf4jz7SAmdms/bnHIq3NCUpbgL78nayI3sL2a7M4n1WQxTtrV1IDG+PSeed7eYpcHF6TmHtr8riHyqgwOk5u2j41OUoZj1796TRIjai8oCZqhKZs4mEY58QkV8YoFNCIKy3FjDTVdKhyceOoy6nm70bUyp/LWgZcCrwaOv6dGsaU/mAC0j4lVfQcvUqshZ8R/qcz70zKOPjiEm6jcjrR6KPiChzfFpypl8BM9Ayzk4mZ9KweZ0qzV0IIYQQ/qnq535tc4HnTFWLWhU0mzJlCk8//TQPPfQQ06ZNO9/TEUKIi5I7O5vUiRPLD5iVVLg/deLE81oDwqQ308HalfYRXbB7bDg9Doy6EEw6c7nFXPM2nyhzSWa5VFAdHvK2nMDRqS6XRVoqHRKRu5WEYx8TmfsHAG4lhJN1RlJfl4ii92G5nh8dR/0N5ihcvMEcvdVKzO23EX1bUtm1+sqhqirH/koP6JpH/0qnQbOYC7bZghBCCFFTBfq5Ly4OtSZotmnTJj7++GM6dux4vqcihBAXtawFC3wvmgqgqqg2G1kLviPm9tuqd3KVUBQFs96CWV9xQEtVVXLXHw3oGrnrjmJvHuFVYP9s4Xk7iT/2CdE5vwHgUYycqDuS1Pq34zTWJer4OsxU0DwB/Oo4KsGcwCiKgiE6GqKjKz8YcDncXl0y/WHPd+JyujGG1JpbMyGEEOKC4u/nvrg46M73BHyRm5vLmDFj+OSTT4iWH2AhxHmmqioF7nxynFkUuPMvqjRnVVVJnzMnoLHpcz6vNe+VJ9/l1SXTH+50GyZn2a8zNH8frQ8+Tsd9dxGd8xse9Byvcx1b2n7FobhHcBrrAlCgGPCoFaykNBhg6DU+dxwNRjBHVM7t9iMzsazxrqqNF0IIIYQQwVUrHmc+8MADXHPNNQwcOJCXX375fE9HCHGRsrttFdfFCmtXqvOiv1RVxeYpwOVxYtAZMessNSrDx52Z6VXrwWeqijM5BXdmpvYEr4ZT7VULEkUZvJ9JWQoOEX/8E+pmrtTOj46TMUNIaXAHdlPjUuNHHW/AJ1dE0uLEoaB0HA1GMMePBp0XLb2+as8i9YZa8SxTCCGEEOKiUeODZl988QVbtmxh06ZNPh1vt9ux2+3FX2eX/GVDCCECVFEHxmxXJuvTf2ZjxpoyOzD64lwE5ILBk5df9fG1IGimmKrWxdAYYcKhUwjP/5tLjn9K3YzlKKioKJyKGkhKwzuxmS8pNc6jquR6VBY8PoBISwioPYPScVSCOeeGIUSPKdQYUFafKdQo3TOFEEIIIWqYGh00S0lJ4aGHHmL58uU+t4+dMmUKL774YjXPTAhxMUkpOMT3J+ajVtJ20KU6+f7EfIbWv8GvwFl1B+SCSRdWSSfHah5/ruhCDehjzAEt0dTHmNE7j9I1/Q3CDy1AQctaOx3Zj5SGd5FvaV7uWAVIbFtfC5iBFiALQsdRCeacG4qi0LBZDId3nPB7bKOLtG6cEEIIUWOoKths4HKCwajdf8ln80WvRj863rx5M2lpaXTt2hWDwYDBYGD16tVMnz4dg8GA2116+cxTTz1FVlZW8Z+UlACWEQkhRCG728bytO8qDZgVUVFZnvYddrdvwZaigFxZAbOSigJyKQWHfDpvddFHRWFMiPf/BkJRMCbEo4+KqpZ5BZuiKIT3auT3OD2nqBPzCcp73Yg4NB8FN+nWXvzZahZ7m02pMGDmUVXQKSQ0j6nK1MtUFMwJhARz/BObEIVO79/7pdMr1EuIqp4JCSGEEKJidjts3wZfzIPPZsG8udrfX8zTtpdYyVZTKIrCggULADh8+DCKorB169Zyj1+1ahWKopCZmXlO5nchqdFBswEDBrB9+3a2bt1a/Kdbt26MGTOGrVu3oteXfvJtMpmwWq1ef4QQIlD78nZWGtA6m0t1si9vZ6XHVXdArjooikJMUlJAY2OSbqtVwZewrvVRQnRa+lcldGQQafiYBqa7CUn9EjxOaNaP7FHfsbv5W+RYEisc71FVFEWhXY+EasvqkmDOuWEw6mnVPd6nnxsAFGjdPV6y+YQQQojzISUZ5nwG69d515EF7ev167T9KclBv/S4ceNQFKXUnwMHDvh1nvj4eI4dO0b79u2DPkdRw4NmERERtG/f3utPWFgYderUkR8IIUS1U1WVHdlbAhq7I3tLpZ0iqzMgV50iR45E8SddXadDMZuJHHld9U4syHQWA3WS2mpflPNSdWQRaZhJA9NdRBgWoihOSOgF45bA7d9h7diPtj0T0Bt0qBRmk5XgUbWQqcGgo13PBKJiw6vt9Ugw59yJjg2nTY+ESoOUOr1C2x7V+30XQgghRDlSkuH7peByVXycy6UdVw2BsyFDhnDs2DGvP02b+leORa/X06BBAwyGGl19q9aq0UEzIYQ4n2yeAq+i/P7IdmVi95SfEVbdAbnqpLdaiZs+XQuaVRY4K9wf99576Gth5q85MZq649ujGL0/LhVysRrmFAbL5qNT7HjqdIKkb2D8UmhyRfGx0bHhXDY4kWbt62MJ825BaQkLoVn7+nQbnHhOAicSzDl3omPD6TY4kabt62MKNXrtM4UaaXoOv+9CCCGEOIvdDsuXaXXMfKGq2vFBXqppMplo0KCB1x+9Xs+iRYvo2rUrZrOZZs2a8eKLL+IqJ7hX1vLMpUuXkpiYiMVioX///hw+fNhrzOnTp7n11luJi4sjNDSUDh068N///vesl6zy+uuv06xZMywWC506deLrr78O6uuvDWpdKHLVqlXnewpCiIuEy+N/0fSSnB4HZr2lzH3BCMiVd+5zIfzKK4j/6CNSJ05EtRUGB0vedBQGyxSzmbj33iP8it7nYZbBYU6MpuFTl5O35QR5aw9gyf6KCMM36JQ8ANwRrVEGP4eu3bByg4gGo56GzevQoFkMLqcbt8uD3qDDYNSf8yWrRcGck8mZHP0r3as5gCnUSKNmMdRLiJIMsyCoSd93IYQQQpSwb2/lGWZnc7m0cR06Vs+cCi1btoykpCSmT5/OlVdeycGDB7nnnnsAeP755ysdn5KSwqhRo5gwYQL33Xcfv//+O48++qjXMTabja5duzJ58mSsVitLlizhtttuo1mzZlx++eUA/Otf/+Kbb75hxowZtGzZkl9++YWkpCTq1atH3759g//Ca6haFzQTQohzxaAzVn5QBYy6kHL3VWdA7lwJv/IKWq5eRdaC70if8znO5DONV4zxccQk3Ubk9SPRR0Scx1kGh07vIIKvCWcaijEdALVOK7jqafRtRoDOt8RtRVEwhhgwlv+jcU5IMOfcqinfdyGEEEKgPejdsT2wsTu2Q/sOQeuquXjxYsLDz2SdDx06lBMnTvDkk08yduxYAJo1a8ZLL73EE0884VPQbMaMGTRr1ox33nkHRVFo1aoV27dv57XXXis+pnHjxjz22GPFX//zn//khx9+4KuvvuLyyy8nLy+Pt99+m59//pmePXsWz2Pt2rV89NFHEjQTQggBZp0FqyEqoIwwqyEKk85c7v7qDMidS3qrlZjbbyP6tiTcmZl48vLRhYWij4q6MIIvThtsngVr3oK8NK0cWExz6PcUSvtRoKvd2VgSzBFCCCHERcdmK13031fZ2doSTXP59/n+6N+/PzNmzCj+OiwsjBYtWrBp0yZeeeWV4u1utxubzUZ+fj6hoaEVnnP37t306NHD6168KPBV8nxTp07lyy+/5MiRI9jtdux2O2FhYQDs2rULm83G1Vdf7TXO4XDQuXPngF9vbSRBMyGEKIeiKLS3dmF9+s9+j20f0aXCoFF1BuTOB0VRMERHQ3T0+Z5KcLgcsHUO6i9vomQfAcAdmYCu7xMonW4FvXx8CiGEEELUSq6qrfjA6Qha0KwoSFaSx+PhxRdfZNSoUaWON/twXV9qH7/11lu88847TJs2jQ4dOhAWFsbDDz+Mw+EongPAkiVLaNy4sddYk8lU6fkvJHLXL4QQFUgMa8fGjDU+d7n0qB5cHjfPrHqRm1rexIgWI7CGlC6AX6WAnLXigJyoArcLtn2JZ9VUdFnJKMAxNYb/c43kfyf60WiFlbH5KdzQNY5IS9WyBYUQQgghxHlgqOI9XDWn6Hfp0oW9e/eWCqb5qm3btixYsMBr24YNG7y+XrNmDddddx1JSUmAFiTbv38/bdq0KT6HyWQiOTn5olqKWRbpnimEEBUw6c0Mir0OhcqDVJ7Cpzrf71zF4czDvL7pdQZ+NZB1R9aVeXxiWDsMij8f2goGxUhiWDs/xgifeDyw/Wv44HL47n50WcmcVCN50Xkb/exvM9c9ECcGktPzeWnxLnpO+YnV+06e71kLIYQQQgh/mc0QaFd3qxWqOdPqueee47PPPuOFF15g586d7N69my+//JJ//etfPo2fMGECBw8e5JFHHmHv3r3MmzePWbNmeR3TokULfvzxR9avX8/u3bu59957OX78ePH+iIgIHnvsMSZNmsTs2bM5ePAgf/zxB++//z6zZ88O5sut8SRoJoQQlYi3NGVo/RvKDXB5VBVVVXF5XCza/hMpGcdQC/+xuWzc/9P9ZQbO/AnIASjAoNjrMOlr1tLMWk1VYddCmNEL5t8Jpw+QroYzxXUrfezvMNM9FDtnniaqhX8KnG7Gz9wogTMhhBBCiNpGUbRi/oEIYhOA8gwePJjFixfz448/ctlll9GjRw/efvttLrnkEp/GJyQkMH/+fBYtWkSnTp348MMPefXVV72OefbZZ+nSpQuDBw+mX79+NGjQgJEjR3od89JLL/Hcc88xZcoU2rRpw+DBg1m0aBFNmzYN1kutFRTVlwWvtVh2djaRkZFkZWVhDTSaLIQQgN1tY1/eTrZl/U6u+0zx0MyCbLYd2cOe4wdxuEsv41RQMBvMrLhxRZlLNVMKDrE87bsKl4AaFCODYq8j3nJxfUhVG1WFfctg5StwfJu2yWRlesEQPnEOJletvDOpooDFqOfXpwbIUk0hhBBCiPPAZrNx6NAhmjZt6lO9r2J2O8z5DFwu38cYDJB0e7Vnmongqejnw9dYkdQ0E0IIH5n0ZjpYu7I1dRf/+eMTjHoDTrcLm8te4biijLNFBxcx/ApBqAAAfzVJREFUps2YUvvjLU1JipvAvryd7Mje4tUcwGqIor21C4nh7THp5AO6ylQV/loJP78CR37XtoWEQ4/7mKsMZ9qyVHx9kqSqUOBw882WVMb3lmCmEEIIIUStYTLBoMHw/VLtpq4yigKDhkjA7CIkQTMhhPCDqqr8d89/sbsclQbLzjZ391xGtx5dZhH/ooBc+4gu2D02nB4HRl0IJp1Ziv4Hy+F1WmbZ34VLZQ0W6H439H4YNTSGT95YFdBpZ607zLheTeT7JIQQQghRm8QnwNBhsHxZxRlnBoMWMIuPP3dzEzWGBM2EEMIPmfZMUnJS/B6nopKSk0KWPYsoc1S5xymKgllvwayvfHmg8FHKJlj5Mvy1SvtaHwLd7oArHoGI+gBk5Dn4Oz3f71OrwN/p+WTmO4kOq95OSkIIIYQQIsjiE7Qll/v2wo7tkH2mBAtWq1bDLLGVZJhdxCRoJoQQfsh3+R9YKSnPlUcUUcGZjKjYsT+1ZZj7l2lf6wzQ+Tbo8xhExnkdmmf3o55FGXLtLgmaCSGEEELURiYTdOioBcjsdnA6wBiibZeVBBc9CZoJIYQfQg2hVRofZggL0kxEuU7sglWvwu5F2teKDjqNhr6PQ3STMoeEmar2cRhexfFCCCGEEOI8UxQwm7U/QhSSu3whhPBDlCmK+Ih4UnNSUX0uGa910IyLiCPSFFmNs7vInToAq6bAjvloCycV6PAP6Psk1G1R4dDoUCOXxISSnJ7vx3cVFCAhJpSo0NLdM1VVxWW34XY60RuNGExSn04IIYQQQojaRIJmQgjhB0VRGN16NK9vet3vsWPajJGgSXXIOAyrX4c//wuqR9vWZgT0ewrqt/XpFIqiMLZXE15avMvvy4/r7d0EwGW3k7Z/D8d2bcOWc6YuhjnCSsO2HYlt2RqD1MUQQgghhBCixtOd7wkIIURtM6LFCMwGMwq+BcB06DAbzAxvPryaZ3aRyUqFRQ/De11h61wtYJY4BO79BW7+3OeAWZEbusZhCdH7XLpCp4AlRM+oLmfqo2WkJrPpi1kc+m2tV8AMwJaTzaHf1rLpi1lkpCb7NTchhBBCCCHEuSdBMyGE8JM1xMo7/d5BUZRKA2cKCigwrd80rCHWKl9bVVWcdhe2fAdOuwtV9WcxYe29tpec47D0CZjeGTbPBI8LmvWHu36C0V9Cw04BnTbSYmRGUlcUKq/5WrT/w6SuRFq0pZkZqcnsWr4YT0UtywGPy8Wu5YslcCaEEEIIUYOoqkpBroPsUwUU5DrO372uqFFkeaYQQgSgd+PefDDgAyatmoTNZQPwqnFWFEwzG8xM6zeNXo17Vel6LqebtORMjv2Vjj3fWbzdFGqkYbMYYhOiMBj1VbpGTby2l7zTsG4abPwEXAXatkt6Q/9noEnvoFyib2I9Zo7vzn1zNlPgcAN41TgriqVZjHo+TOpKn8R6gLYkc89P34OvN1eqyp6fvueyW8bJUk0hhBBCiPPInu9kz6/H2bYqleyTBcXbrfUsdOwXR+ueDTCVUb/2YrJq1Sr69+9PRkYGUVFRZR4za9YsHn74YTIzM8/p3KqbBM2EECJAvRv3ZsWNK1h0cBFzd88lJSeleF9cRBxj2oxhRLPhRLickPE3hIRDaIzfrasz0nLZuzEFj7t0QMae7+TwjhMk706jVfd4omPDq/y6gnFtVVVxOdy43R70eh2GEH3g9dwKMmD9/8FvH4IjV9sWd5kWLGvWDxVw2V3BuRZa4OzXpwbwzZZUZq07zN/p+cX7EmJCGde7CTd0jcNqPnPzlLZ/T6UZZmfzuFykHdhDo3aBZcYJIYQQQoiqSd55mu8/3oHL7i61L/tkAWu/2s+GhX8x9J72JLSrE9Rrjxs3jszMTBYsWOC13ZcA1bnWq1cvjh07RmTkxdfUTIJmQghRBdYQK2PajGF069Fk2bPIc+URZggj0qOibPsCPuwDGYfODIhuCpffC51uBUtUpefPSMtl94ZkKmvp6HGr7N6QTJseCUELnAVy7YhoS/Cy0mzZWqBs/f+BPUvb1qAjXPUvaDkIl8tD2l/p1ZIBF2kxMr53U8b1akJmvpNcu4twk4GoUGOpgJyqqhzbtS2g6xzbuY2GbTtKgwghhBBCiHMseedpFr//Z6ULBVwON4vf/5NrH+gU9MBZbRESEkKDBg3O9zTOC6lpJoQQQaAoClHmKBqHNyYq9XeUd9rBD09pnR1LyjisbX+7LRxYUeE5XU43ezemVBq0KqbC3o0puJzeT8pUVSU9z0FKej7peb7VZwjk2nt+S2HTD3s5vOOEVxALzmSl/b5sHxlpuRWfy5EHa6fBux1h5StawKxeG7h5jlbkP3EwGSfz+H3ZvqpfqxKKohAdFkJ8TCjRYSFlBrdcdlupov++suVk47LbqzTH6lJjatgJIYQQQgSZPd/J9x/v0AJmld3iqFoFju8/3lHqvrM65eXlYbVa+frrr722L1q0iLCwMHJycgCYPHkyiYmJhIaG0qxZM5599lmcTmepMV27dsVsNtOsWTNefPFFXCVWSSiKwn/+8x+uv/56QkNDadmyJQsXLizev2rVKhRF8Vp6OWvWLBISEggNDeX666/n9OnTXtc8ePAg1113HfXr1yc8PJzLLruMFSu8f/9xOBw88cQTNG7cmLCwMC6//HJWrVpVlbct6CTTTAghgunACph7E+V/AhducxZox435H7QYWOap0pIzy1wWWRGPW+VkciYNm9chq8DJ/M2pzF7vvcTwkphQxvbSlhgWFbEPxrVVT+XHV5gR57Rphf3XvA15adq2Oi2g31PQ7nrQaVlj5zP7rixuZ9VuntxOB0azOUizqboaU8NOCCGEEKKa7Pn1eJlLMsulgsvuZs+G43S6Kr76JlZCWFgYt9xyCzNnzuQf//hH8fairyMiIgCIiIhg1qxZNGrUiO3bt3P33XcTERHBE088AcCyZctISkpi+v9v7z7Do6rWv49/d2YmvdOSSAKJoUtHqlIUjCAoclRsFMEuIiJYDqLYQFEUxYNiA1T+KsfCox4FAQURpBcLkR6CEgglEEJImZn9vBgYHQIhfZLw+1xXLrPXXmvve8eU4Z57rfXaa1x66aXs2LGDO++8E4Ann3zSfd2nnnqKyZMn8+KLLzJt2jRuueUWdu/eTWRkZIHYVq1axbBhw5g4cSIDBgxg/vz5HtcCyMrKok+fPjz77LP4+/sze/Zs+vXrx5YtW4iLiwPgtttuIyUlhY8//piYmBi++OILrrzySn799VcaNGhQtl/QEjLMav7WcWZmJmFhYRw9epTQ0NLvXCciclYnjrgqyPJPAM4iDPABWwCM3lxgqqZpmqxftL1E72b5BdrIigvjnjnrC1/M3tfCG7e2pdvJxezL4t5F5WMxaJfU0JV8sefBhg/gx5fg2F5Xh/B60P1RaH4DWP5+f8ee72Dtgq3FSuh53Ksc5OecYPWc90o8vv0twytN0qywNexO8bEY5bJ+noiIiEhx5eTksGvXLuLj4/Ev4usp0zT58ImVHov+F1VorQBufbpjmSytMXToUD788MMCcTscDnJycsjIyGDr1q107tyZ1NRUYmJiOHjwIDExMSxcuJBu3bqd8bovvvgin3zyCWvXrgWga9eu9O7dm8cee8zd58MPP+Thhx9m717Xa2/DMHj88cd55plnAFeVW0hICN988w1XXnllgXXWbr75ZjIyMvj222/d17zxxhuZP39+oRsBNGvWjHvuuYcRI0awY8cOGjRowJ9//klMTIy7T8+ePWnfvj0TJ04s3hf0DAr7/ihqrkjTM0VEysqmjyA/m6IlzHD1y8+GTR8XOGPPc5Q4aZWbnc/9H67jRL4Dj3o30yQ09zi1jh8mJPc4J/Ls3DZzNUu3HiizexeV02FyIOUgbPgQXm8L/xvtSpiFXgB9p8L966DVzR4JMyhd9V15sfr54x9Ssjdl/ENCK83umacq+M719T1VwVfaqa8iIiIi3pBzPL9ECTNwbQ6Qe7x4mz8VpkePHmzcuNHj45133nGfb9++Pc2aNeP9998H4IMPPiAuLo6uXbu6+3z66adccsklREVFERwczPjx40lNTXWfX7duHU8//TTBwcHujzvuuIO0tDSys/+ejdKiRQv350FBQYSEhJCenn7GuJOTk+nUqZNH2+nHx48f5+GHH6Zp06aEh4cTHBzMH3/84Y5t/fr1mKZJw4YNPWJbunQpO3bsKO6XstxoeqaISFkwTVg1o2RjV73p2hzgH+9YORxFTbydmZ/Fh8x81zWC8k7Qc89art75EzHH/15rYG9QDb5KuISH3stj8ZN93VM1S3vvczId1MxYRMRn70HOyT/owXXg0oegzRCwnfldQtM0Sdt5uES33LvzMFEJkeWy4L5hGEQ3bcGuVT8Ve2x0s8qxCUBJ188rzwo+ERERkfKQn1OMaZlnkJdjxz/4zEucFFdQUBCJiYkebX/++afH8e23387rr7/Oo48+ysyZM7ntttvcrx9XrlzJjTfeyFNPPUVSUhJhYWF8/PHHTJkyxT3e6XTy1FNPMWDAgAL3/2f1lc3m+UyGYeB0nvnfBUWZsDh27FgWLFjASy+9RGJiIgEBAVx33XXk5eW547JYLKxbtw6LxfP1ZHBw5ZnRoKSZiEhZyD7suUtmkZmucScyIPDv9QIsltIVAp+wu/7Atdm/hcdXz8bPkVegT9TxQ9zx6/9j8OZvWRzvYMBd15XJvc/KdFLjyBJi971DYI7ra2UG1MC4ZBRcfDv4BhY6vLTVd/Z8Bzbf8vmzV7tBY3avW4nTXvR3Hn2sVmonNi6XeIqrtOvniYiIiFQVNv/SveHn61+xaZRbb72Vhx9+mNdee43ff/+dIUOGuM8tX76cevXqMW7cOHfb7t27Pca3adOGLVu2FEjOlUbTpk1ZuXKlR9vpx8uWLWPo0KFce+21gGuNs5SUFPf51q1b43A4SE9P59JLLy2z2MqakmYiImUhr5RT1XKPeSTNrL4W/AJtxU4SOU2T9Fw7WXYnbfZv4emV72CYZ56Lf6rNz5FPw6lPcKxpHUIuvbTE9z4r0yQi8yfi0t4m6MQ2AOyWEP6qfTNB14yhZlTtIl2mtBVwDrsTm2+pLnFWVj8/Gl/em83ffc059y0HMAwaX967UkzNrKwVfCIiIiLlwT/IRmitgBKvaeYXVLFplIiICAYMGMDYsWO54oorqFu3rvtcYmIiqampfPzxx1x88cX873//44svvvAY/8QTT9C3b19iY2O5/vrr8fHx4ZdffuHXX3/l2WefLVFMI0eOpHPnzkyePJn+/fvz3XffMX/+fI8+iYmJfP755/Tr1w/DMBg/frxH5VrDhg255ZZbGDx4MFOmTKF169YcPHiQ77//nubNm9OnT58SxVbWtKaZiEhZ8C1lCbFfiMehYRhEJxTcqaYoFqRlEpR3gsdXzz6ZMCs8ieODiWHCXyMfwJGZWap7ezBNwjJX0Xzr7TTZ+TBBJ7Zh9wlkT9RtrGv6GX9FDeV/24qebCxtBZzFWr5/8iLqxtH0ir74WAt/IeVjtdL0ir5E1I0r13iKqiwq+ERERESqCsMwaNG97rk7nkGLHnW98mbh8OHDycvLY9iwYR7t11xzDQ8++CAjRoygVatWrFixgvHjx3v0SUpK4uuvv2bhwoVcfPHFdOzYkZdffpl69eqVOJ6OHTvyzjvvMG3aNFq1asV3333H448/7tHnlVdeISIigs6dO9OvXz+SkpJo06aNR5+ZM2cyePBgHnroIRo1asTVV1/NqlWriI2tmB1Ki0K7Z4qIlAXThNdaQ0YKRV8YCsCAiPowcoPHmmZQsp0icxxORqzbQ6+tS7nz1/9XvHdGDIM6jz1G5OBBxb63aZoeLyBCj60nLu0tQo9vAsDh409azevZW+cW7NYwd0Xcq7sPs2Rs9yK9+CjtjqJteiZWyIsce24u6dv/IO33X8g5lulu9w8JJbpZC2o3aIzV1/sVZqfkZOexfuH2Eo9v0ysR/8ByKuETERERKURJds8E1xt/sx5bgT3PUbSX7oZrJsjQSZ3xCyyb9cyKY86cOTzwwAPs3bsXX1+97iqqstg9U9MzRUTKgmG4FvOf/9i5+56uw90FEmYAVpuFRu1jSV6ZWuQ83Ctb0sm2O7h6Z/EXpQc4/OEHRAy6tUT3Bgg+/itxe98iPMu1xbXT8GVfzWv5q85g8m2e1WsL0jLZfTibI9n5RASd+4//qQq4lN/2F+uZAGIqcAqh1c+PmGYtiW7aAntuLo78PCw2X6x+fpVyGmNlr+ATERERKWt+gTZ633kRX/9nk+ulbmGvdw3XS/Xed11U4Qmz7Oxsdu3axaRJk7jrrruUMPMCvdIVESkrLW8CWyDF+tVqsUGj3mc9HVE7mCYd4/CxFJ5s8bEYNOkYS6bFICwvm5jjh4r/C940yU/dg+PIkWLd2/Ax8MtKpvGO0bTYeifhWWtxGlb21RzA+qb/JaXuKI+EmdM0yXOaLDvgmpqZlVv0xfNrx4WfM57T+VgMasWFF2tMWTAMA5u/P/4hodj8/Stlwgz+Xj+vJPwCbdo9U0RERKqkuGY16HtfS6y+hb+Wsfpa6DuiJXFNK37zo8mTJ9OqVSvq1KnDY4+V4M15KTUlzUREykpAOAx8/2TVWBF/vTryYHon2L7orF0iagfTLqkh8RfVKZDc8Au0EX9RHdolNSSiTghDOtfH355b8mcAnMezi3zvBhdk0ObweNptH05k5s+YWNgf2ZcNTeayM3Yseb6ei/w7TROTkxVxJxf2D/YretHzqQo4ipp/MqBx+1gldgpRmjXsKrKCT0RERKSsxTWrwdBJnbnkhgaE1grwOBdaK4BLbmjA0Oe7eCVhBjBhwgTy8/NZvHgxwcGlXENZSkTTM0VEylJiT7hlLnwyGPKzKdLcxvwTMOcG17jEnmfsYrVZiL6wBlEJkdjzHTjsTixWH6w2i0fS4l9t6zLjq4AzXqOofIICz33vI9uxLp+IsfwLwJUIy7PWJPnCKWQHFNzO2nly+cw8p8krW9L59egJDCAuMpDwYlY5naqA27J6T6FrrvlYDBq3jyW8tl5gnEvtuHBSk9OLtX6etyr4RERERMqSX6CNlpfF0qJHXXKP28nLsePrb8UvyKo3B0WVZiIiZS6xJ9z7M/gUNRnkdG0k8MlgOHGk0J6GYWDzteIf6IvNt+Af8rAAG5OHdWVvUA2cZ7lGIRfHFheLJTz87PfO2oP/gpHY3u6C8fvnnEoKGoCf/SAXbb+P+L+m4pe312NsQO5frNj9K/etS+XXo39v7z20S/0SvRgpavWdEmZFowo+EREROd8ZhoF/sI3QmgH4B9uUMBNAlWYiIuVjyzfgLM4uj05XZdqmj6Hj3aW6dbdGtVl9083wzrRij428ddCZXyAc2QM/vggb54Dz5BpkhgVMJ/+sprM6sog+8F+iDvwXuyUUhyUQiyMbw36MxvjyoeN1ThCEjwH+NgsD2pRsu28oevWdFI0q+EREREREPKnSTESkrJkmrJpRsrGr3nSNL6W2d96KJSAAs6jJIx8fDH9/wvpf49l+bB98MxamtYH1s10Jswsvh473FUiY/ZMB2ByZ+Oftw+bIxGqYBJDHAMsy90ahb97alrCA0u9AdK7qOyk6VfCJiIiIiPxNlWYiImUt+zBk7CrBQNM17kQGBJZsYfZTLKGh1H3tNfbcddfJSxeSiDuZZKo7bRqW0FBX2/GD8NMrsOYdsOe42updApc9DnEd4bXWJYprqGUBcy19ePPWdnRtWKtE15DypQo+EREREREXJc1ERMpaXlbpxuceK3XSDCD40kuInTGDP0eOxMw5mfj6Z/LsZALE8Pen7rRpBF/SxZXw+/l1WPkm5B939avbHi4bB/HdXGOOHypRUtDHMKlv7GfVA20IiVDCrLI7VcFn8/V2JCIiIiLlzzRN7HkOHA4nFosPVl+9YShKmomIlD3fUk5d8wspmzhwJc4aLF3C0Xn/j8MffkB+6h73OVtsXSJvHUTYtf2x2ExY8jz8/B/IzXR1iG4Jl413bWzwzxcMpUwKhpBTqvEiIiIiImXFnu8gPfUIaTsPk5v995rEfoE2ohMiqR0Xft5uflS/fn1GjRrFqFGjANebql988QX9+/c/Y/+UlBTi4+PZsGEDrVq1qrA4y5PWNBMRKWuBkRART9G3IjzFgPA48A8v03AsoaFEDh7EhQsW0ODnFVy4aJHrvwsWEHnjACyb3oFXW8CSSa6EWe2mMHAO3LkUGvTyTJhBpUoKioiIiIiUVEZ6FmsXbCXlt/0eCTOA3Ox8Un7bz9oFW8lIL+VMkjMYOnQohmFw990FNwG79957MQyDoUOHlsm96tevz9SpU0t9nbS0NHr37l36gKoQJc1ERMqaYUCHu0ow0IQjqa5F91e+ASeOlHFYBtaICHzrXoA12B9j5XR4tSUsmuBaR61GA7juPbh7OTTpWzBZdkppkoIR8RAQUconEREREREpnYz0LJJXpha6aziA02GSvDK1XBJnsbGxfPzxx5w4ccLdlpOTw0cffURcXFyZ36+0oqKi8PPz83YYFUpJMxGR8tDyJrAFUqJfsxkpMP8xeLkpbF9UtnHZc2H1266F/Bf8G44fgIj60P9NuHclXPQv8DlHzCVOCgId7j57Mk5EREREpALY8x1sWb3nbBvBF2TCltV7sOc7yjSONm3aEBcXx+eff+5u+/zzz4mNjaV167833jpTpVirVq2YMGGC+3jChAnExcXh5+dHTEwMI0eOBKB79+7s3r2bBx98EMMwPNZpW7FiBV27diUgIIDY2FhGjhzJ8ePHzxqvYRjMmzfPfbx69Wpat26Nv78/7dq1Y8OGDR79HQ4Hw4cPJz4+noCAABo1asSrr75a4LozZ86kSZMm+Pv707hxY6ZPn17o160iKWkmIlIeAsJh4PsnE0TF/VVruj7yT8CcG8omcebIh/Xvw7R28M0YOJYGoXWh36swYi20ugksxVjmsrhJQcPH1b/ljSUKX0RERESkrKSnHjlnhdnpnA6TA6lHyjyW2267jZkzZ7qP33vvPYYNG1asa3z66ae88sorzJgxg23btjFv3jyaN28OuJJwdevW5emnnyYtLY20tDQAfv31V5KSkhgwYAC//PILn3zyCT/99BMjRowo0j2PHz9O3759adSoEevWrWPChAmMGTPGo4/T6aRu3brMnTuXzZs388QTT/Dvf/+buXPnuvu8/fbbjBs3jueee47k5GQmTpzI+PHjmT17drG+BuVFGwGIiJSXxJ5wy1z4ZDDkZ59sLM4fZyeYPq7xoze7EnHF5XTAr5/C0ufh8E5XW3AUXPoQtB0C1hKWV59KCs65wRUjzkI6+wAGDPygZM8gIiIiIlJGTNMkbefhEo3du/MwUQmRZbqr5qBBg3jsscdISUnBMAyWL1/Oxx9/zJIlS4p8jdTUVKKioujZsyc2m424uDjat28PQGRkJBaLhZCQEKKiotxjXnzxRW6++Wb3Iv8NGjTgtddeo1u3brzxxhv4+/sXes85c+bgcDh47733CAwMpFmzZvz555/cc8897j42m42nnnrKfRwfH8+KFSuYO3cuN9xwAwDPPPMMU6ZMYcCAAe4+mzdvZsaMGQwZMqTIX4PyoqSZiEh5SuzpSnht+hhWvQkZu4p5Aacr4bbpY+hYcJHQsw9zQvL/gx8mwcEtrrbAGnDJaLh4ONgCihnHGZwzKXjyxYQtwJUwS7y89PcUERERESkFe56jwKL/RZWbnY8934HNt+xSKTVr1uSqq65i9uzZmKbJVVddRc2aNYt1jeuvv56pU6eSkJDAlVdeSZ8+fejXrx9W69njXLduHdu3b2fOnDnuNtM0cTqd7Nq1iyZNmhR6z+TkZFq2bElgYKC7rVOnTgX6vfnmm7zzzjvs3r2bEydOkJeX595Z88CBA+zZs4fhw4dzxx13uMfY7XbCwsKK+vjlSkkzEZHyFhDuSni1v9O18P7R1OJfY9WbrnXEzvWulmnClm/hh+dg/2+uNv9w6DIS2t8FfqXc+fJ0hSUFI+q71jBrdRP4V44/eiIiIiJyfnM4CpshUYTxdic23zIK5qRhw4a5p0X+5z//KXDex8cH0/ScsZKf/3fiLzY2li1btrBw4UIWLVrEvffey4svvsjSpUux2WxnvKfT6eSuu+5yr332T0XZhOD0eM5k7ty5PPjgg0yZMoVOnToREhLCiy++yKpVq9wxgGuKZocOHTzGWiyWc16/IihpJiJSUU5klCxhhulKRp3IcO1cecYuJmxf7EqW7V3vavMNgU73Qad7yzdpdSop2OEuV4y5x8AvxLVLphb9FxEREZFKxGIp3dLuFmvZLw1/5ZVXkpeXB0BSUlKB87Vq1XKvRQaQmZnJrl2eM1gCAgK4+uqrufrqq7nvvvto3Lgxv/76K23atMHX1xeHw3MTgzZt2vD777+TmJhYopibNm3KBx98wIkTJwgIcM1iWblypUefZcuW0blzZ+699153244dO9yf16lThwsuuICdO3dyyy23lCiO8qakmYhIRckr5TbVucfOnDTb9SN8/xzsOflHyhboSmB1Hnn2JFt5MAzX/SryniIiIiIixWD1teAXaCvRFE2/QBtWW9lXQFksFpKTk92fn+6yyy5j1qxZ9OvXj4iICMaPH+/Rb9asWTgcDjp06EBgYCAffPABAQEB1KtXD3Dtvvnjjz9y44034ufnR82aNXnkkUfo2LEj9913H3fccQdBQUEkJyezcOFCpk2bds6Yb775ZsaNG8fw4cN5/PHHSUlJ4aWXXvLok5iYyPvvv8+CBQuIj4/ngw8+YM2aNcTHx7v7TJgwgZEjRxIaGkrv3r3Jzc1l7dq1ZGRkMHr06BJ9PcuSds8UEakovqWcGukX4nmcugpm93N97FkJFj/oeB88sAl6TlDySkRERETkNIZhEJ1QstfJMWW8CcA/hYaGEhoaesZzjz32GF27dqVv37706dOH/v37c+GFF7rPh4eH8/bbb9OlSxdatGjB4sWL+eqrr6hRowYATz/9NCkpKVx44YXUqlULgBYtWrB06VK2bdvGpZdeSuvWrRk/fjzR0dFFijc4OJivvvqKzZs307p1a8aNG8cLL7zg0efuu+9mwIABDBw4kA4dOnDo0CGPqjOA22+/nXfeeYdZs2bRvHlzunXrxqxZszwSa95kmEWZiFqFZWZmEhYWxtGjR8/6DSgiUiFME15rDRkpFG8XTcO1PtjIDa5qrr/Www8TYftC12kfm2snzEsfgtCYso9bRERERKQSysnJYdeuXcTHx59zt8d/suc7WLtgK05H0V+T+1gM2iU1LJdKMykfhX1/FDVXpEozEZGKYhiuaZMl0eFu2P87fHQzvN3DlTAzLNBmMIxcD1dNUcJMRERERKQIrDYLjdrHujd7PycDGrePVcLsPKSkmYhIRWp5k2vNsaL++jV8wOoPKcvgzS6w5X+AAS1uhBFr4OppEH7u3W1ERERERORvEbWDadIxDh9L4ZkzH4tB045xhNcu413opUrQRgAiIhUpIBwGvg9zbgDTByhsy2vDNaXTkQt/fO1qanYtdH8MajWqgGBFRERERKqviNrBtEtqyIHUI+zdedhjcwC/QBsxCZHUigtXhdl5TEkzEZGKltgTbpkLnwyG/OyTjWdaT+Fkm2lCo6ugx2MQ1byiohQRERERqfasNgvRF9YgKiESe74Dh92JxeqD1WYpt0X/pepQ0kxExBsSe8LozbDpY1j1JmTsOnu/Hv+GC9pWbHwiIiIiIucRwzCw+Vqx+Xo7EqlMlDQTEfGWgHDoeDdcNACWPA8bPnRNxQSofylc9jjEdfRqiCIiIiIiIucrJc1ERLwl+zCseA1WvQX5x11tsR2gxzhI6Obd2ERERERERM5zSpqJiFS0nKPw83RYOR1yM11tMa2hx+OQeDlo7QQRERERERGvU9JMRKSi5GbB6hmw/DXIOeJqq3ORa82yRn2ULBMRERER8RLTNDlxLJP8nBxs/v4EhIRqIwBR0kxEpNzln4A178JPr0D2QVdbzYbQ/TFo2h98fLwanoiIiIjI+SrneBably5m/fyvOLp/n7s9rE4Uba7sR9Nul+MfFOzFCItn6NChHDlyhHnz5p21T/fu3WnVqhVTp06tsLiqKiXNRETKiz0X1r8PP74EWSf/AEfEQ/dHofn14GMpMMQ0Tex5DhwOJxaLD1ZfbXUtIiIiIlIeUjau48uXJ5Gfl1vg3NH0/fzw/jv89PEHXD36Meq3Ktvd7M+WuJo3bx7XXnstpmmW6LqvvvpqicdKQUqaiYiUNUc+bPw/+PFFOLrH1RYWC90ehpY3gcVWYIg930F66hHSdh4mNzvf3e4XaCM6IZLaceFYbQWTbCIiIiIiUnwpG9fx+QtPuRJMZ0oynWzLz8vl8xeeYsAjT5Z54qy48vPzsdkK/lvin8LCwioomvOD5gSJiJQVpwM2fgSvt4OvRroSZiHR0OcluH8dtBl8xoRZRnoWaxdsJeW3/R4JM4Dc7HxSftvP2gVbyUjPqqgnERERERGptnKOZ/Hly5POnjD7J9PENE2+fHkSOccr9vX4hAkTaNWqFe+99x4JCQn4+flhmiaffvopzZs3JyAggBo1atCzZ0+OHz8OuKZn9u/f332N48ePM3jwYIKDg4mOjmbKlCkF7vPhhx/Srl07QkJCiIqK4uabbyY9Pd2jz+bNm+nTpw/BwcHUqVOHQYMGcfDgwXJ9/spASTMRkdJyOuG3z2B6R5h3N2SkQGBNSJoIIzdA+zvA6nfGoRnpWSSvTMXpKPyPtdNhkrwyVYkzEREREZFS2rx0sWtKZlGnMZom+Xm5bP7x+/IN7Ay2b9/O3Llz+eyzz9i4cSP79u3jpptuYtiwYSQnJ7NkyRIGDBhw1imZY8eO5YcffuCLL77gu+++Y8mSJaxbt86jT15eHs888wybNm1i3rx57Nq1i6FDh7rPp6Wl0a1bN1q1asXatWuZP38++/fv54YbbijPR68UND1TRKSkTBP++B8smQT7f3O1+YdDlweg/Z3gV/iCofZ8B1tW74GiLjlgwpbVe2iX1FBTNUVERERESsA0TdbP/6roCbN/WP/tl7S+sl+Frjmcl5fHBx98QK1atVwxrF+P3W5nwIAB1KtXD4DmzZufcWxWVhbvvvsu77//Pr169QJg9uzZ1K1b16PfsGHD3J8nJCTw2muv0b59e7KysggODuaNN96gTZs2TJw40d3vvffeIzY2lq1bt9KwYcMyfebKREkzEZHiMk3Yvgi+fxbSNrra/EKh033Q8R7wL9o6AumpR85ZYXY6p8PkQOoRoi+sUcygRURERETkxLFMj10yi8w0Obp/HzlZxwgICS37wM6iXr167oQZQMuWLbn88stp3rw5SUlJXHHFFVx33XVEREQUGLtjxw7y8vLo1KmTuy0yMpJGjRp59NuwYQMTJkxg48aNHD58GKfTCUBqaipNmzZl3bp1/PDDDwQHFywK2LFjh5JmIiLViWma2HNzcOTnY7HZsPr5F/3dop1LXcmyP1e7jm1B0PFu6DQCAiOLFUPazsMliB727jxMVEKkdtUUERERESmm/JycUo3PO3GiTJJmoaGhHD16tED7kSNHCA39+/pBQUEe5y0WCwsXLmTFihV89913TJs2jXHjxrFq1Sri4+M9+hZlF83jx49zxRVXcMUVV/Dhhx9Sq1YtUlNTSUpKIi8vDwCn00m/fv144YUXCoyPjo4u0vNWVUqaich5w56bS/q2P0jb/As5xzLd7f4hoUQ3bUHtBo2x+p157TF2/ww/PAcpy1zHVn+4+HboMgqCa515TGGx5DkKLPpfVLnZ+djzHdh89StcRERERKQ4bP7+pRrvGxBQJnE0btyYb7/9tkD7mjVrClSCnc4wDLp06UKXLl144oknqFevHl988QWjR4/26JeYmIjNZmPlypXExcUBkJGRwdatW+nWrRsAf/zxBwcPHuT5558nNjYWgLVr13pcp02bNnz22WfUr18fq/X8+jeINgIQkfNCxp+prPl4FrtW/eSRMAPIOZbJrlU/sebjWWT8meo58K918MEAmHmlK2Fm8XWtVzZyIyQ9V6KEGYDD4Szhk5wcby/deBERERGR81FASChhdaKguLM2DIOwOlH4B4eUSRz33nsvO3bs4L777mPTpk1s3bqV//znP7z77ruMHTv2rONWrVrFxIkTWbt2LampqXz++eccOHCAJk2aFOgbHBzM8OHDGTt2LIsXL+a3335j6NCh+Pj8nQqKi4vD19eXadOmsXPnTr788kueeeYZj+vcd999HD58mJtuuonVq1ezc+dOvvvuO4YNG4bD4SiTr0dldX6lCEXkvJTxZyqbv/v6nIt9Ou12Nn/3NU2v6EuE9Sj8MBG2fOM6aVig9a3QdSyEx5Y6JouldO9ZWKx6z0NEREREpLgMw6DNlf344f13ij22Te+ry2yJlPr167Ns2TLGjRvHFVdcQU5ODg0bNmTWrFlcf/31Zx0XGhrKjz/+yNSpU8nMzKRevXpMmTKF3r17n7H/iy++SFZWFldffTUhISE89NBDHtNCa9WqxaxZs/j3v//Na6+9Rps2bXjppZe4+uqr3X1iYmJYvnw5jzzyCElJSeTm5lKvXj2uvPJKjwRcdWSYRZnkWoVlZmYSFhbG0aNHPeYFi8j5wZ6by5qPZ+G024vUPyB/P3HHfqDm8V9cDYYPtBgI3R6GyIQyi8s0TdYv2l6iKZp+gTba9EzUmmYiIiIicl7Lyclh165dxMfH41+MaZc5x7N4656h5OflFmkXTcMwsPr6cecbs/APKrgYvlROhX1/FDVXVL1TgiJy3kvf9keREmb++YdocGgurfe99nfCrNkAuHcVXPtmmSbMwPWHNzqh6BsH/FOMNgEQERERESkx/6Bgrh79mOs19bleV5/sc/VD/1bC7DykpJmIVFumaZK2+ZdC+/jZM0g8/Blt9r1C7eyNGJgcCmjK7wmPYV73HtQqv+2Ta8eF42MpXvLLx2JQKy68fAISERERETlP1G/VlgGPPInN18+dGPNwss3m68eARydQv2Ub7wQqXqU1zUSk2rLn5hRY9P8UX/tR6mYuoc7xtfjgWrzysH8jUsN6ctz3Ash3Te0s7e46hbHaLDRqH0vyylQoykR5Axq3j8Vqs5RbTCIiIiIi54v6rdpy5xuz2Pzj96z/9kuO7t/nPhdWuw5tel9Ns26X4xcY5MUoxZuUNBORasuRX3C9MJvjGHUzfyQqaxU+uKZtHvG7kNSwXhzzizttfF65Js0AImoH06RjHFtW78HpOHvmzMdi0Lh9LOG1VRIuIiIiIlJW/IOCadP7alpf2Y+crGPknTiBb0AA/sEhWhJFlDQTkerLYrO5P7c6srng2I9EZ/2MxXQl04761iM1rBeZ/mder8xi862QOCNqB9MuqSEHUo+wd+dhj80B/AJtxCREUisuXBVmIiIiIiLlxDAMAkJCCQjRBoLyNyXNRKTasvr5ExRoJTJtPjHHlmM1cwE45luX1NCeHPFvcNaFP/1DQrH6+VVcrDYL0RfWICohEnu+A4fdicXqg9Vm0TtcIiIiIiIiXqCkmYhUT7lZGKvepMXOV/DJzwIgyxZNalhPMvwbn3OXnOhmLbySrDIMA5uvlQoqchMREREREZGzUNJMRKqXvGxY8w4snwrZh/ABsm21SQ29nEMBzcA496bBPlYrtRMbl3uo5y3ThOzDkJcFvsEQGHnurb5FREREREQqmJJmIlI92HNh3SxYNgWy9rvaIhOg+2Pkhl/MoUXfupI152IYNL68d4VOzSwvpmliz3PgcDixWHyw+np5queJI7DpI1g1AzJ2/d0eEQ8d7oKWN0FAuLeiExEREZHzmGma2HNzcOTnY7HZsPr5a5kUUdJMRKo4Rz5s+BB+fAky/3S1hcVBt4ddSRiLlQig6RV9+WPxtzjt9rNeysdqpfHlvYmoG3fWPlWBPd9BeuoR0s6wqUB0QiS1vbGpwPZF8MlgyM8ueC4jBeY/BoufgYHvQ2LPio1NRERERM5b9txc0rf9QdrmX8g5lulu9w8JJbppC2o3aFwt3lCfNWsWo0aN4siRI2ftM3ToUI4cOcK8efPO2mfJkiX06NGDjIwMwsPDS3yvquLc85RERCojhx02/h9Mawtfj3IlzEKi4aopcP86aDMILH+/LxBRN46LbxxKfMdL8D9tRxz/kFDiO17CxTcNrfIJs4z0LNYu2ErKb/s9EmYAudn5pPy2n7ULtpKRnlVxQW1fBHNugPwTgHny459OtuWfcPXbvqjiYhMRERGR81bGn6ms+XgWu1b95JEwA8g5lsmuVT+x5uNZZPyZWub3Hjp0KIZhcPfddxc4d++992IYBkOHDi3z+xbm1VdfZdasWe7j7t27M2rUKI8+nTt3Ji0tjbCwsAqNzVtUaSYiVYvTCb9/DksmwaHtrragWnDJaGh3G9gCzjrU6udHTLOWRDdtgT03F0d+HhabL1Y/v2pRep2RnkXyytSCOanTOB0myStTadIxjojaweUb1Ikjrgoz0wSc5+jsBNPH1X/0Zk3VFBEREZFyk/FnKpu/+/qcS7g47XY2f/c1Ta/oW+ZvsMfGxvLxxx/zyiuvEBDg+ndMTk4OH330EXFxFf9mflESYb6+vkRFRVVANJWDKs1EpGowTUj+Ct7sAp8NdyXMAiKg51PwwCbodG+hCbN/MgwDm78//iGh2Pyrx1oF9nwHW1bvOWfCzM2ELav3YM93lGtcbPro5JTMcyXMTnG6+m/6uDyjEhEREZHzmD03lz8WF3HNYwDT5I/F32LPzS3TONq0aUNcXByff/65u+3zzz8nNjaW1q1b/+P2JpMnTyYhIYGAgABatmzJp59+6j6/ZMkSDMPgf//7Hy1btsTf358OHTrw66+/FrjnggULaNKkCcHBwVx55ZWkpaW5zw0dOpT+/fu7P1+6dCmvvvoqhmFgGAYpKSnue/1z6uWsWbOIi4sjMDCQa6+9lkOHDnncc8eOHVxzzTXUqVOH4OBgLr74YhYt8pxdkpeXx8MPP8wFF1xAUFAQHTp0YMmSJSX5spYpJc1EpHIzTdi6AN7qBp/cCumbwS8UeoyDB36BS0aBb5C3o/S69NQjOB1FzZi5OB0mB1KPlE9A4Pp/t2pGycauerPoL2JERERERIohfdsfha51fCZOu5307X+UeSy33XYbM2fOdB+/9957DBs2zKPP448/zsyZM3njjTf4/fffefDBB7n11ltZunSpR7+xY8fy0ksvsWbNGmrXrs3VV19Nfv7fS7ZkZ2fz0ksv8cEHH/Djjz+SmprKmDFjzhjXq6++SqdOnbjjjjtIS0sjLS2N2NjYAv1WrVrFsGHDuPfee9m4cSM9evTg2Wef9eiTlZVFnz59WLRoERs2bCApKYl+/fqRmvr3tNfbbruN5cuX8/HHH/PLL79w/fXXc+WVV7Jt27aifzHLgaZnikjlZJqwcwn88Bz8ucbVZguCjvdA5xGuKjMBXO88pe08XKKxe3ceJiohsnyq7bIPe+6SWWSma9yJDAiMLPOwREREROT8ZZomaZt/KdHYtN9/IbppizJ97Txo0CAee+wxUlJSMAzDnTg6VWV1/PhxXn75Zb7//ns6deoEQEJCAj/99BMzZsygW7du7ms9+eST9OrVC4DZs2dTt25dvvjiC2644QYA8vPzefPNN7nwwgsBGDFiBE8//fQZ4woLC8PX15fAwMBCp2O++uqrJCUl8eijjwLQsGFDVqxYwfz58919WrZsScuWLd3Hzz77LF988QVffvklI0aMYMeOHXz00Uf8+eefxMTEADBmzBjmz5/PzJkzmThxYrG+pmVJSTMRqXx2r4Dvn4PdP7mOrQHQ/nboMgqCano1tMrInucosOh/UeVm52PPd2DzLYc/B3ml3Gwg95iSZiIiIiJSpuy5OQUW/S+qnGOZ2HNzsfn7l1k8NWvW5KqrrmL27NmYpslVV11FzZp//5tn8+bN5OTkuJNhp+Tl5XlM4QTcSTWAyMhIGjVqRHJysrstMDDQnTADiI6OJj09vVTxJycnc+211xaI459Js+PHj/PUU0/x9ddfs3fvXux2OydOnHBXmq1fvx7TNGnYsKHHdXJzc6lRo0ap4istJc1EpPL4cy18/yzs/MF1bPGFtrfBpaMh5PxZbLK4HI6irhd2lvF2JzbfMgrmn3xLucmAX0jZxCEiIiIicpIjv2RvNv89Pq9Mk2YAw4YNY8SIEQD85z//8TjndLpe6//vf//jggsu8Djn5+d3zmv/syrOZrMVOGeWckmUoowfO3YsCxYs4KWXXiIxMZGAgACuu+468vLyANczWiwW1q1bh8Vi8RgbHFzOG5edg5JmIuJ9aZvgh4mw9eS7ET5WaH0rdB0LYXW9G1sVYLGUbnlKi7WclrcMjISIeMhIoeg7FAAYEFFfU3BFREREpMxZTkscFX982b/bfOWVV7oTSElJSR7nmjZtip+fH6mpqR5TMc9k5cqV7l03MzIy2Lp1K40bNy5xXL6+vjgchW8c1rRpU1auXFkgjn9atmwZQ4cOdVekZWVlkZKS4j7funVrHA4H6enpXHrppSWOtzwoaSYi3pOe7EqWJX/pOjZ8oOVNrmRZZLx3Y6tCrL4W/AJtJZqi6Rdow2qznLtjSRgGdLgL5j9W/LEd7naNFxEREREpQ1Y/f/xDQks0RdM/JBRrEaq7istisbinUZ5eaRUSEsKYMWN48MEHcTqdXHLJJWRmZrJixQqCg4MZMmSIu+/TTz9NjRo1qFOnDuPGjaNmzZru3TBLon79+qxatYqUlBSCg4OJjCy4dMrIkSPp3LkzkydPpn///nz33XceUzMBEhMT+fzzz+nXrx+GYTB+/Hh3BR241kG75ZZbGDx4MFOmTKF169YcPHiQ77//nubNm9OnT58SP0NpafdMEal4B7fDZ7fD9E4nE2YGXHQd3Lca+k9XwqyYDMMgOqFka3/FlNcmAKe0vAlsgRT5z43h4+rf8sbyi0lEREREzluGYRDdtEWJxkY3K9tNAP4pNDSU0NDQM5575plneOKJJ5g0aRJNmjQhKSmJr776ivh4z383Pf/88zzwwAO0bduWtLQ0vvzyS3x9S14ZN2bMGCwWC02bNqVWrVoeu12e0rFjR9555x2mTZtGq1at+O6773j88cc9+rzyyitERETQuXNn+vXrR1JSEm3atPHoM3PmTAYPHsxDDz1Eo0aNuPrqq1m1atUZd+ysSIZZ2gmslVxmZiZhYWEcPXr0rN+AIlJBMnbD0smw6SMwT5b5NukH3f8NdZp6N7Yqzp7vYO2CrTgdRf+V7mMxaJfUsPwqzU7Zvgjm3ODaEZXC1l/zcVWX3fJfSLy8fGMSERERkSovJyeHXbt2ER8fj38x1hmz5+ay5uNZOO32Io/xsVq5+Mah5VJpVlpLliyhR48eZGRkEB4e7u1wKo3Cvj+KmitSpZmIlL+jf8HXD8K0trDxQ1fCrEES3LkUBn6ohFkZsNosNGofC0V948uAxu1jyz9hBpDYE26ZC7YA140LBHmyzRaghJmIiIiIlDurnx+NL+9d9OVADIPGl/eulAkzKV9a00xEys+x/fDTK7D2PXDkutoSukOPxyH2Yq+FZZom9jwHDocTi8UHq6+lfKcolqN/PktwmD9NOsSyZc2fhVac+VgMGrePJbx2Be5Ek9gTRm+GTR/DqjchY9ff5yLqu9Ywa3UT+IdVXEwiIiIict6KqBtH0yv68sfibwutOPOxWml8eW8i6sZVYHRSWWh6poiUveOHYMWrsOotsJ9wtcV1hsvGQf1LvBaWPd9BeuoR0nYe9lg03y/QRnRCJLXjwium8qoMFPYsteuFYxgG+1MyCpyLSYiklref0zThRAbkHgO/ENcumVU0aSkiIiIi3lPS6Zn/ZM/NJX37H6T9/ovH5gD+IaFEN2tB7QaNsfqqwqwqKovpmao0E5Gyc+II/Pw6rHwD8rJcbRe0cyXLEnp4NTGSkZ7FltV7zliBlZudT8pv+0lNTqdR+1giKrICqwTO9Sx7kg/gYzFoeHFdQiICcNidWKw+WG2VpKLOMCAw0vUhIiIiIuJFVj8/Ypq1JLppC+y5uTjy87DYfLH6+VWO187iVUqaiUiJmaaJPTcHx/EMbBtn4bPmTYyco66TUc1d0zAbJnm9iigjPYvklalwjrpap8MkeWUqTTrGVdrEWXGe5Y9Veyr1s4iIiIiIVBaGYWDz98dWwoo1qZ4q9UYAkyZN4uKLLyYkJITatWvTv39/tmzZ4u2wRM579txc9v62iQ2fvMdfbwzF8p+2WJa9gJFzlPzQeBzXvgt3/giNrvR6wsye72DL6j3nTDK5mbBl9R7s+Y5yjaskqtOziIiIiIiIVHaVutJs6dKl3HfffVx88cXY7XbGjRvHFVdcwebNmwkKCvJ2eCLnpYw/U9my8EtqH/2ZizKX4Ot0TcM8Ya1BaujlHAxsgc/GQzSu8WelWCwzPfVIoYvin4nTYXIg9QjRF9Yop6hKpjo9i4iIiIiISGVXqZNm8+fP9zieOXMmtWvXZt26dXTt2tVLUYmcvzJ27+DQvKdpnfkDfg7XNMwcSwR7wi4jPbAVGK7F5Z12O5u/+5qmV/T1auLMNE3Sdh4u0di9Ow8TlRBZadYxqE7PIiIiIiIiUhVU6qTZ6Y4edf0jPTLy7ItH5+bmkpub6z7OzMw8a18RKSKHHcf6OQQseJJEewYAuZZQ9oT2ID2oLaZxhl8lpskfi7/l4huHYvXzzm4z9jyHx+6RxZGbnY8934HNt3L8mqxOzyIiIiIiUtmYpokz246Z68Dws+ATaNWbzlK51zT7J9M0GT16NJdccgkXXXTRWftNmjSJsLAw90dsbGwFRilSzTgd8Mt/YXoHLP8bib89gzyfYHaG92Vd9EPsD+5w5oTZqeF2O+nb/6jAgD05HM7SjbeXbnxZqk7PIiIiIiJSWThP2Dn201/se3Etac+sZN/kNa7/vriWYz/9hfOE3dshlgvDMJg3bx4AKSkpGIbBxo0bizx+woQJtGrVyn08dOhQ+vfvX+iY7t27M2rUqGLH6k1VJmk2YsQIfvnlFz766KNC+z322GMcPXrU/bFnz54KilCkGnE6YfP/gze6wOe3w6Ht2C1BpIRdybroMaSFdMY0bEW6VNrvv2CaxVuHq6xYLKX7FWexVp5fkdXpWUREREREKoOcrRmkTVrF0a934jic43HOcTiHo1/vJG3SKnK2ZpT5vYcOHYphGDz//PMe7fPmzavwCrfY2FjS0tIKLVA63ZgxY1i8eLH7+NVXX2XWrFnlEJ13VYm5Ovfffz9ffvklP/74I3Xr1i20r5+fH35emgomUuWZJmxdAD88B/t+cbX5heFofzdrd/rj8Cn+z1bOsUzsuble2brZ6mvBL9BWommNfoE2rDZLOURVMtXpWUREREREvC1nawYHZ/52zn5mvpODM3+j5m0X4d8wokxj8Pf354UXXuCuu+4iIqJsr10cFouFqKioYo0JDg4mODjYfRwWFlbWYVUKlbr0wDRNRowYweeff873339PfHy8t0MSqZ5ME3Z8D+/0hI8GuhJmvsHQdSyM2kR++xElSpid4sjPK8Ngi84wDKITzr4GYmFiKtnC+dXpWUREREREvMl5ws6hDze7Ds41Kebk+UMfbi7zqZo9e/YkKiqKSZMmnfH8oUOHuOmmm6hbty6BgYE0b968wOy77t27M3LkSB5++GEiIyOJiopiwoQJHn22bdtG165d8ff3p2nTpixcuNDj/OnTM5csWYJhGCxevJh27doRGBhI586d2bJli3vMuaZnHj9+nMGDBxMcHEx0dDRTpkwp8Hwffvgh7dq1IyQkhKioKG6++WbS09M9+mzevJk+ffoQHBxMnTp1GDRoEAcPHjzbl7TMVeqk2X333ceHH37I//3f/xESEsK+ffvYt28fJ06c8HZoItVHynKY2Qc+uBb+WgvWAOjyADzwC1z2OAREYLEVbSrm2VhsvmUUbPHVjgvHx1K8hJGPxaBWXHj5BFQK1elZRERERES85fi6/Zh5znMnzE4xwcxzcnz9/jKNw2KxMHHiRKZNm8aff/5Z4HxOTg5t27bl66+/5rfffuPOO+9k0KBBrFq1yqPf7NmzCQoKYtWqVUyePJmnn37anRhzOp0MGDAAi8XCypUrefPNN3nkkUeKFN+4ceOYMmUKa9euxWq1MmzYsCI/29ixY/nhhx/44osv+O6771iyZAnr1q3z6JOXl8czzzzDpk2bmDdvHrt27WLo0KHu82lpaXTr1o1WrVqxdu1a5s+fz/79+7nhhhuKHEdpVerpmW+88Qbgypz+08yZMz2+kCJSAnvWwA/Pws4lrmOLL7QbDpc8CCF1PLpa/fzxDwkl51jxd6P1Dwn12u6ZAFabhUbtY0lemVq0P4oGNG4fWymnM1anZxERERER8QbTNMlasbdEY7OW7yW4c0yZzuK49tpradWqFU8++STvvvuux7kLLriAMWPGuI/vv/9+5s+fz3//+186dOjgbm/RogVPPvkkAA0aNOD1119n8eLF9OrVi0WLFpGcnExKSop7uauJEyfSu3fvc8b23HPP0a1bNwAeffRRrrrqKnJycvA/x9I7WVlZvPvuu7z//vv06tULcCX2Tl9u659JuISEBF577TXat29PVlYWwcHBvPHGG7Rp04aJEye6+7333nvExsaydetWGjZseM5nKK1KnTTz1uLhItXa3o3ww0TYtsB17GOFNoPh0jEQdsEZhxiGQXTTFuxa9VOxbxfdrIXXpwZG1A6mScc4tqzeg9Nx9t8rPhaDxu1jCa8dfNY+3ladnkVEREREpKI5s+0FFv0vKsfhHJzZdixBpZuJc7oXXniByy67jIceesjzfg4Hzz//PJ988gl//fUXubm55ObmEhQU5NGvRYsWHsfR0dHuaY7JycnExcV5JKw6depUpLj+ed3o6GgA0tPTiYuLK3Tcjh07yMvL87hPZGQkjRo18ui3YcMGJkyYwMaNGzl8+DBOpxOA1NRUmjZtyrp16/jhhx881k775z3O+6SZiJSh/ZthyURI/sp1bFig5U3QbSxE1D/n8NoNGrN73Uqc9qLP4/exWqmd2LiEAZetiNrBtEtqyIHUI+zdedhjQX2/QBsxCZHUiguvElVZ1elZREREREQqkpnrKP34Mk6ade3alaSkJP797397zKqbMmUKr7zyClOnTqV58+YEBQUxatQo8vI814y2nbacjmEY7gTUmYqRilrU8M/rnhpz6rqFKUoB1PHjx7niiiu44oor+PDDD6lVqxapqakkJSW5n8/pdNKvXz9eeOGFAuNPJfHKm5JmItXdwW2wZBL89jmuOX0GNL8Ouj0KNROLfBmrnx+NL+/N5u++dm0ccC6GQePLe3t1aubprDYL0RfWICohEnu+A4fdicXqg9Vm8Xo1XHFVp2cREREREakohl/p3lgu7fizef7552nVqpVH9dSyZcu45ppruPXWWwFXEmnbtm00adKkyNdt2rQpqamp7N27l5iYGAB+/vnnsg3+NImJidhsNlauXOmuSsvIyGDr1q3u6Z5//PEHBw8e5Pnnnyc2NhaAtWvXelynTZs2fPbZZ9SvXx+r1Tvpq0q9EYCIlMLhXfDFPfCf9vDbZ4AJTa6Ge3+Gf71TrITZKRF142h6RV98zvELy8dqpekVfYmoW3jZrrcYhoHN14p/oC82X2uVTjJVp2cRERERESlvPoFWLJGFr8l1NpZIf3wCyyd507x5c2655RamTZvmbktMTGThwoWsWLGC5ORk7rrrLvbt21es6/bs2ZNGjRoxePBgNm3axLJlyxg3blxZh+8hODiY4cOHM3bsWBYvXsxvv/3G0KFD8fH5OwUVFxeHr68v06ZNY+fOnXz55Zc888wzHte57777OHz4MDfddBOrV69m586dfPfddwwbNgyHo3QVg0WlpJlIdXP0T/jqAXi9HWz6PzCd0LA33PUjDPwAahf9XYkziagbx8U3DiW+4yX4h4R6nPMPCSW+4yVcfNPQSpswExERERGR85dhGAR3jinR2OAuZbsJwOmeeeYZj6mN48ePp02bNiQlJdG9e3eioqLo379/sa7p4+PDF198QW5uLu3bt+f222/nueeeK+PIC3rxxRfp2rUrV199NT179uSSSy6hbdu27vO1atVi1qxZ/Pe//6Vp06Y8//zzvPTSSx7XiImJYfny5TgcDpKSkrjooot44IEHCAsL80jAlSfDrOar7WdmZhIWFsbRo0cJDQ099wCRqurYPlj2MqybCY6Tc9wvvAx6jIO67crllqZpYs/NxZGfh8Xmi9XPT5VOIiIiIiJSIXJycti1axfx8fHn3NHxn5wn7KRNWoWZ7yzyrvSGzYfoxzrgE6BVrqqKwr4/ipor0v9tkaru+EFYPhVWvwP2E662el3gssehXudyvbVhGNj8/bEV4w+UiIiIiIiIN/kEWKlxa1MOzvwNDApPnJ2sCahxa1MlzM5D+j8uUlWdyIAVr8OqNyEvy9VW92JXZVlCd1DFl5wnTNPEnufA4XBisfhg9dVmCCIiIiJSOP+GEdS87SIOfbgZM+/sO0IaNh9q3NoU/4YRFRidVBZKmolUNTmZrkTZitch96irLaoFXDYeGvRSskzOG/Z8B+mpR0jbeZjc7Hx3u1+gjeiESGrHhWO1lc/uRiIiIiJS9fk3jCD6sQ4cX7+frOV7cRzOcZ+zRPoT3CWGoLZ18PFX6uR8pf/zIlVF3nFY/bZrKuaJDFdb7abQ49/QuK+SZXJeyUjPYsvqPTgdBWvpc7PzSfltP6nJ6TRqH0tE7WAvRCgiIiIiVYFPgJWQLhcQ3DkGZ7YdM9eB4WfBJ1A704uSZiKVX34OrH0PfnoZjh9wtdVoAN0fhWYDoIJ2DRGpLDLSs0hemXrORVudDpPklak06RinxJmIiIiIFMowDCxBNgiyeTsUqUSUNBOprOx5sOF9+HEKHNvraguv50qWNb8BLPrxlfOPPd/BltV7irbLEYAJW1bvoV1SQ03VFBERERGRYtG/ukUqG4cdNn0ESyfD0VRXW+gF0HUstL4VLHrnQ85f6alHzjglszBOh8mB1CNEX1ijnKISEREREZHqSEkzkcrC6YDfPoMlz8PhHa624Dpw6UPQZgjY/L0bn4iXmaZJ2s7DJRq7d+dhohIitS6FiIiIiIgUmZJmIt7mdELyl7BkEhz4w9UWWAMueRDaDQffQO/GJ1JJ2PMcHrtkFkdudj72fAc2X/3ZExEREZGCTNOEfAem3Ylh9QGbRW+4ClpBXMRbTBO2fAszusJ/h7gSZv5hcNl4eGATdL5fCTORf3A4nKUbby/deBERERGpfsx8B/aUg+T9uJXcxcnkLd3i+u+PW7GnHMTMd3g7xDOqX78+U6dOLXL/CRMm0KpVq3KL55RZs2YRHh5eKWIpC0qaiVQ004Tti+Cdy+GjG2H/r+AbAt0egQd+ga5jwC/E21GKVDoWS+n+ZFms+pMnIiIiIn9zHDhG7g9/YE9Ow8zO8zhnZudhT04j94c/cBw4Vm4x7Nmzh+HDhxMTE4Ovry/16tXjgQce4NChQ+V2z/I0cOBAtm7d6u0wyozmqYhUpF3L4IfnIPVn17EtENrfCV0egMBI78YmUslZfS34BdpKNEXTL9Cm3TNFRERExM1x4Bj5a1OK0NHp6teuPpZaZVvcsHPnTjp16kTDhg356KOPiI+P5/fff2fs2LF8++23rFy5ksjIqvXvxICAAAICArwdRpnR2+4iFWHPaph9Nczu60qYWfyg472uaZi9nqrwhJlpmuTn2snJziM/1+6avy9SyRmGQXRCyX5WYrQJgIiIiIicZOY7yN+QWqwx+RtSy3yq5n333Yevry/fffcd3bp1Iy4ujt69e7No0SL++usvxo0bB0B6ejr9+vUjICCA+Ph45syZU+BaqampXHPNNQQHBxMaGsoNN9zA/v37C/SbMWMGsbGxBAYGcv3113PkyBGP8zNnzqRJkyb4+/vTuHFjpk+f7j6XkpKCYRh8/vnn9OjRg8DAQFq2bMnPP//s7nOm6ZnPP/88derUISQkhOHDh5OTk+Nxfs2aNfTq1YuaNWsSFhZGt27dWL9+vUefo0ePcuedd1K7dm1CQ0O57LLL2LRpU5G+zqWhpJlIedq7AeZcD+/2gl1LwcfmWtz/gY1w5SQIrl2h4djzHezdcYj1i7azZv5W1i88+d9F29m74xD2SjpfX+SU2nHh+FiKl/zysRjUigsvn4BEREREpMpx/JUBxV0v1+F0jSsjhw8fZsGCBdx7770FKrOioqK45ZZb+OSTTzBNk6FDh5KSksL333/Pp59+yvTp00lPT3f3N02T/v37c/jwYZYuXcrChQvZsWMHAwcO9Lju9u3bmTt3Ll999RXz589n48aN3Hfffe7zb7/9NuPGjeO5554jOTmZiRMnMn78eGbPnu1xnXHjxjFmzBg2btxIw4YNuemmm7Db7Wd8zrlz5/Lkk0/y3HPPsXbtWqKjoz0ScQDHjh1jyJAhLFu2jJUrV9KgQQP69OnDsWPH3M931VVXsW/fPr755hvWrVtHmzZtuPzyyzl8+HDxv/jFoOmZIuVh/+/ww0T442vXsWGBVjdD17EQUc8rIWWkZ7Fl9R6cjoJVZbnZ+aT8tp/U5HQatY8lonawFyIUOTerzUKj9rEkr0yFohRIGtC4faymZoqIiIgI4ErAOHaXbL0wx+5DWOrVKJMZDNu2bcM0TZo0aXLG802aNCEjI4M1a9a4p2p26NABgHfffddj3KJFi/jll1/YtWsXsbGxAHzwwQc0a9aMNWvWcPHFFwOQk5PD7NmzqVu3LgDTpk3jqquuYsqUKURFRfHMM88wZcoUBgwYAEB8fDybN29mxowZDBkyxH2/MWPGcNVVVwHw1FNP0axZM7Zv307jxo0LPMfUqVMZNmwYt99+OwDPPvssixYt8qg2u+yyyzzGzJgxg4iICJYuXUrfvn354Ycf+PXXX0lPT8fPzw+Al156iXnz5vHpp59y5513FvXLXmyqNBMpSwe2wn9vgze6nEyYGdBiIIxYA9e87tWEWfLK1DMmzP7J6TBJXplKRnpWBUUmUnwRtYNp0jHunBVnPhaDph3jCFcSWEREREROyXcUWPS/qMzsPKig2TmnltBJTk7GarXSrl0797nGjRt7TIFMTk4mNjbWnTADaNq0KeHh4SQnJ7vb4uLi3AkzgE6dOuF0OtmyZQsHDhxwb0oQHBzs/nj22WfZsWOHR2wtWrRwfx4dHQ3gUfn2T8nJyXTq1Mmj7fTj9PR07r77bho2bEhYWBhhYWFkZWWRmuqaQrtu3TqysrKoUaOGR2y7du0qEFtZU6WZSFk4vBOWToZfPgHzZJlv0/7Q/TGoXTDbXpHs+Q62rN5TtKocABO2rN5Du6SGqs6RSiuidjDtkhpyIPUIe3ce9tgcwC/QRkxCJLXiwvU9LCIiIiIeTHsxp2WeYbzhW/o4EhMTMQyDzZs3079//wLn//jjDyIiIggNDQUotLrNNM0znj9b+ymnzhmGgdPp+rq8/fbb7oq2UywWz9fUNputwDVOjS+JoUOHcuDAAaZOnUq9evXw8/OjU6dO5OXlua8dHR3NkiVLCow9ff20sqakmUhpHNkDP74IG+eA8+Qc7kZ9XMmy6BaFj60g6alHzllhdjqnw+RA6hGiL6xRTlGJlJ7VZiH6whpEJURiz3fgsDuxWH2w2ixa9F9EREREzsiwlm7CXWnHn1KjRg169erF9OnTefDBBz3WNdu3bx9z5sxh8ODBNG3aFLvdztq1a2nfvj0AW7Zs8VjAv2nTpqSmprJnzx53tdnmzZs5evSoxzTO1NRU9u7dS0xMDAA///wzPj4+NGzYkDp16nDBBRewc+dObrnlljJ5RnBNM125ciWDBw92t61cudKjz7Jly5g+fTp9+vQBYM+ePRw8eNB9vk2bNuzbtw+r1Ur9+vXLLLaiUNJMpCSO7YNlU2DdLHCcLO298HLoMQ7qtvVqaP9kmiZpO0u2MOLenYeJ0o6DUgUYhoHN14qtDN7xExEREZFqzmbBCPQt0RRNI9AXynAmw+uvv07nzp1JSkri2WefJT4+nt9//52xY8dywQUX8NxzzxEZGcmVV17JHXfcwVtvvYXVamXUqFEeSbaePXvSokULbrnlFqZOnYrdbufee++lW7duHtM6/f39GTJkCC+99BKZmZmMHDmSG264gaioKAAmTJjAyJEjCQ0NpXfv3uTm5rJ27VoyMjIYPXp0iZ7xgQceYMiQIbRr145LLrmEOXPm8Pvvv5OQkODuk5iYyAcffEC7du3IzMxk7NixBZ6vU6dO9O/fnxdeeIFGjRqxd+9evvnmG/r37+/xjGVNa5qJFMfxg7BgHLzaEla/5UqY1b8UbpsPgz6vVAkzAHuew2PaWnHkZudrN00REREREalWDMPAUq9kM2rKahOAUxo0aMDatWu58MILGThwIBdeeCF33nknPXr04OeffyYyMhKAmTNnEhsbS7du3RgwYAB33nkntWvXdl/HMAzmzZtHREQEXbt2pWfPniQkJPDJJ5943C8xMZEBAwbQp08frrjiCi666CKPnSxvv/123nnnHWbNmkXz5s3p1q0bs2bNIj4+vsTPOHDgQJ544gkeeeQR2rZty+7du7nnnns8+rz33ntkZGTQunVrBg0axMiRIws83zfffEPXrl0ZNmwYDRs25MYbbyQlJYU6deqUOLaiMMxTq8tVU5mZmYSFhXH06FH3XGCRYss+DCumwaoZkH/c1Va3PVz2OCR0825shcjJzmP9wu0lHt+mVyL+gSrfERERERGRyicnJ4ddu3YRHx+Pv79/kceZ+Q5yf/gDHMVYh8vig1+PxhhaM7fKKOz7o6i5Ik3PFClMTiasnA4//wdyM11t0a1cybLEnlDJpy5aLKUrJrWU0Xx9ERERERGRysKwWbC1jiN/bUqRx9haxylhdh5S0kzkTPKOu6rKVrwGJzJcbbWbQY9/Q+OrKn2y7BSrrwW/QFuJpmj6Bdq086CIiIiIiFRLlloh0K4++RtSC684s/hgax3n6i/nHSXNRP4p/wSsfQ+WvQzZJ3frqNEAejwGTa8Fn6pVeWUYBtEJkaT8tr/YY2O0CYCIiIiIiFRjlloh+PRojOOvDBy7D3lsDmAE+mKpVwPLBRGqMDuPKWkmAmDPhfXvu3bEPJbmaouoD90ehebXg6Xq/qjUjgsnNTkdp6Poyxf6WAxqxYWXX1AiIiIiIiKVgGGzYK1f07U5QL4D0+7EsPq4dtlUEcF5r+pmAkTKgiMfNn0ESyfD0T2uttC60O1haHUzWGzeja8MWG0WGrWPJXllKhQlb2ZA4/axmpopIiIiIiLnDcMwwNeKoX3Q5B+UNJPzk9MBv/4XljwPGbtcbcFR0HUMtBkMVj+P7qZpYs9z4HA4sVh8sPpWrXcdImoH06RjHFtW7ym04szHYtC4fSzhtYMrMDoRERERERGRykdJMzm/OJ2weZ4rWXZwi6stsAZcMhouHg62AI/u9nwH6alHSNt52GMxfb9AG9EJkdSOC68yFVkRtYNpl9SQA6lH2HuG54lJiKRWFXoeERERERERkfKkpJmcH0wTtnwDP0yE/b+52vzDoctIaH8X+BWsrMpIzzprZVZudj4pv+0nNTmdRu1jiagilVlWm4XoC2sQlRCJPd+Bw+7EYvXBqvn6IiIiIiIiIh6UNJPqzTRh+2L44VnYu8HV5hsCne6DTveCf9gZh2WkZxVpDTCnwyR5ZSpNOsZVmcQZuObr23yt2DRfX0REREREBNM0yc7OJi8vD19fXwIDA1VYIEqaSTW260f4/lnYs8p1bAuEDndB55EQGHnWYfZ8B1tW7ynaovkAJmxZvYd2SQ01tVFERERERKQKOXHiBJs2bWLVqlVkZGS42yMiIujQoQMtW7YkICCgkCuUjyVLltCjRw8yMjIIDw9n1qxZjBo1iiNHjpT62oZh8MUXX9C/f/8znk9JSSE+Pp4NGzbQqlWrUt+vKlPSTKqf1JWuZFnKMtex1R8uvh26jILgWuccnp56pNDF8s/E6TA5kHqE6AtrlCBgERERERERqWjbt2/nk08+IT8/v8C5jIwM5s+fz+LFixk4cCCJiYnlEsOKFSu49NJL6dWrF/Pnz3e3d+7cmbS0NMLCzjw7qjTS0tKIiIgo8+tWRz7eDkCkzPy1Hj78F7yX5EqY+djg4jtg5EZIeq5ICTPTNEnbebhEt9+78zCmWbxkm4iIiIiIiFS87du3M2fOnDMmzP4pPz+fOXPmsH379nKJ47333uP+++/np59+IjU11d3u6+tLVFRUmU4RzcvLAyAqKgo/P78yu251pqSZVH37foOPboa3e8D2RWBYoM1gGLkernoJQqOLfCl7nsNjV8niyM3Ox57vKNFYERERERERqRgnTpzgk08+KXLRg2mafPLJJ5w4caJM4zh+/Dhz587lnnvuoW/fvsyaNct9bsmSJRiGcdbpmEOHDi0wvXLUqFF0797dfdy9e3dGjBjB6NGjqVmzJr169QJc0zPnzZvn7rd69Wpat26Nv78/7dq1Y8OGDR7XdTgcDB8+nPj4eAICAmjUqBGvvvpqgZhmzpxJkyZN8Pf3p3HjxkyfPr1YX4/KSNMzpeo6sAWWTILfv3AdGz7Q/Abo9jDUuLBEl3Q4nKUKyWF3anF9ERERERGRSmzTpk3nrDA7XX5+Pps2baJjx45lFscnn3xCo0aNaNSoEbfeeiv3338/48ePL9PqstmzZ3PPPfewfPnyMyYJjx8/Tt++fbnsssv48MMP2bVrFw888IBHH6fTSd26dZk7dy41a9ZkxYoV3HnnnURHR3PDDTcA8Pbbb/Pkk0/y+uuv07p1azZs2MAdd9xBUFAQQ4YMKbPnqWhKmknVc2gHLJ0Mv84F82SSq9m10P0xqNWoVJe2WEpXfGmxqnhTRERERESksjJNk1WrVpVo7KpVq+jQoUOZJbXeffddbr31VgCuvPJKsrKyWLx4MT179iyT6wMkJiYyefLks56fM2cODoeD9957j8DAQJo1a8aff/7JPffc4+5js9l46qmn3Mfx8fGsWLGCuXPnupNmzzzzDFOmTGHAgAHuPps3b2bGjBlKmolUiCOp8OOLsGEOmCenQTa6Cnr8G6IuKpNbWH0t+AXaSjRF0y/Qpt0zRUREREREKrHs7GyPXTKLIyMjgxMnThAYGFjqOLZs2cLq1av5/PPPAbBarQwcOJD33nuvTJNm7dq1K/R8cnIyLVu29HimTp06Fej35ptv8s4777B7925OnDhBXl6ee2fNAwcOsGfPHoYPH84dd9zhHmO328tlI4OKpKSZVH6ZabDsJVg3G5wnk1mJvVzJsgvalOmtDMMgOiGSlN/2F3tsTEJkmZbRioiIiIiISNk6tRh+SeXm5pZJ0uzdd9/FbrdzwQUXuNtM08RmsxUpqefj41NguuWZppwGBQUVep2irOs2d+5cHnzwQaZMmUKnTp0ICQnhxRdfdFfsOZ2uGWBvv/02HTp08BhrsVTtwhIlzaTyyjoAP70Ca98Fe46rLb4r9Hgc4joUPrYUaseFk5qcjtNR9J0wfSwGteLCyy0mERERERERKT1f39ItQl0Wu07a7Xbef/99pkyZwhVXXOFx7l//+hdz5szhoosKn01Vq1YtfvvtN4+2jRs3YrPZihVL06ZN+eCDDzhx4gQBAQEArFy50qPPsmXL6Ny5M/fee6+7bceOHe7P69SpwwUXXMDOnTu55ZZbinX/yk4LMEnlk30YFk2AV1vAyv+4EmaxHWHIV66PckyYAVhtFhq1j4WiFo0Z0Lh9rKZmioiIiIiIVHKBgYFERESUaGxERIQ7sVQaX3/9NRkZGQwfPpyLLrrI4+O6667j3XffPec1LrvsMtauXcv777/Ptm3bePLJJwsk0Yri5ptvxsfHh+HDh7N582a++eYbXnrpJY8+iYmJrF27lgULFrB161bGjx/PmjVrPPpMmDCBSZMm8eqrr7J161Z+/fVXZs6cycsvv1zsmCoTJc2k8sg5Cj9MgqktXBVm+dkQ0xpu+QyGzXdVmVWQiNrBNOkYh4+l8MyZj8Wgacc4wmsHV1BkIiIiIiIiUlKGYRSYQlhUZbUJwLvvvkvPnj3PuN7Xv/71LzZu3Mj69esLvUZSUhLjx4/n4Ycf5uKLL+bYsWMMHjy42LEEBwfz1VdfsXnzZlq3bs24ceN44YUXPPrcfffdDBgwgIEDB9KhQwcOHTrkUXUGcPvtt/POO+8wa9YsmjdvTrdu3Zg1axbx8fHFjqkyMcyiTGCtwjIzMwkLC+Po0aOEhoZ6Oxw5k9wsWD0Dlr8GOUdcbXUugh7joFFv8OI6YfZ8BwdSj7B352GPzQH8Am3EJERSKy5cFWYiIiIiIiJekJOTw65du4iPj8ff37/I406cOMHLL798xjXAzsQwDKxWK6NHjy6TSjOpGIV9fxQ1V6Q1zcR78k/Amnfgp6mQfdDVVrOha4H/JteAj/cLIa02C9EX1iAqIRJ7vgOH3YnF6oPVZtGi/yIiIiIiIlVQQEAAAwcOZM6cOUVaCB9g4MCBSpidh5Q0k4pnz3XthLlsCmTtc7VFxEP3x6D5deBT+Sq3DMPA5mvFVro1IyuEaZrY8xw4HE4sFh+svkrwiYiIiIiI/FNiYiK33HILn3zySaEVZzabjYEDB5KYmFiB0UlloaSZVBxHPmycA0tfhMw/XW1hsdDtYWh5E1iKt8uHeLLnO0hPPULaGaaSRidEUltTSUVERERERNwSExMZPXo0mzZtYtWqVWRkZLjPRURE0KFDB1q1alWsqZ9SvShpJuXP6YBf5sLS5yEjxdUWEg2XPgRtBoO19Fv2nu8y0rPYsnoPTkfB0uLc7HxSfttPanI6jdrHEqFNC0RERERERADXVM2OHTvSoUMHTpw4QW5uLn5+fgQEBGjGjihpJuXI6YTNX7h2xDy0zdUWVAsueRDaDQOb5oOXhYz0LJJXpsI5puI7HSbJK1Np0jFOiTMREREREZF/MAyDwMBAAgMDvR2KVCJKmknZM03443/ww0RI/93VFhABXR6A9neCb5B346tG7PkOtqzec86EmZsJW1bvoV1SQ03VFBERERERESmEkmZSdkwTti2EH56DtI2uNr9Q6DQCOt4D/mffxlVKJj31yBmnZBbG6TA5kHqE6AtrlFNUIiIiIiIiIlWfkmZVTKXdGXHnUvj+WfhztevYFgQd73YlzAIjvRtbNWWaJmk7D5do7N6dh4lKiKwc3zsiIiIiIiIilZCSZlVEpd0ZcffPrsqylGWuY6s/XHy7a92yoJoVH895xJ7n8PheKI7c7Hzs+Q5svvoVICIiIiIiInImPt4OQM4tIz2LtQu2kvLb/gJJklM7I65dsJWM9KyKC+rPdfDBAJh5pSthZvF1rVf2wCZIek4JswrgcDhLN95euvEiIiIiIiJSsSZMmECrVq1KfZ158+aRmJiIxWJh1KhRzJo1i/Dw8FJft7pRmUklV+l2Rkz7xbXA/9ZvXcc+Vmh1C3QdC+Gx5XdfKcBiKV3O22JVzlxERERERKQqGTNmDPfff3+pr3PXXXdx2223MXLkSEJCQrBarfTp08d9fsKECcybN4+NGzeW+l5VmZJmlVil2hkx/Q9YMhE2/z/XseEDLW6Ebg9DZHzZ3kuKxOprwS/QVqIpmn6BNu2eKSIiIiIiUkWYponD4SA4OJjg4NIVymRlZZGenk5SUhIxMTHu9oCAgNKGWe2o1KQSK83OiGXm0A747A6Y3vHvhNlF/4J7V8G1byhh5kWGYRCdULJNFmK0CYCIiIiIiFRDpmmSnWf3yodpFv3f77m5uYwcOZLatWvj7+/PJZdcwpo1a9znlyxZgmEYLFiwgHbt2uHn58eyZcsKTM+02+2MHDmS8PBwatSowSOPPMKQIUPo37//Ge+7ZMkSQkJCALjsssswDIMlS5Z4TM+cNWsWTz31FJs2bcIwDAzDYNasWcX9X1EtqNKskvL6zogZu+HHybDxIzAdrrbGfaHHv6FOs5JfV8pU7bhwUpPTi5Vc9bEY1IoLL7+gREREREREvOREvoOmTyzwyr03P51EYBE3W3v44Yf57LPPmD17NvXq1WPy5MkkJSWxfft2IiMjPfq99NJLJCQkEB4eztKlSz2u88ILLzBnzhxmzpxJkyZNePXVV5k3bx49evQ44307d+7Mli1baNSoEZ999hmdO3cmMjKSlJQUd5+BAwfy22+/MX/+fBYtWgRAWFhYMb8a1YOSZpWU13ZGzNwLP74E698H58n7N7jClSyLaV2ieKT8WG0WGrWPLdK6dwAY0Lh9rKZmioiIiIiIeMnx48d54403mDVrFr179wbg7bffZuHChbz77ruMHTvW3ffpp5+mV69eZ73WtGnTeOyxx7j22msBeP311/nmm2/O2t/X15fatWsDEBkZSVRUVIE+AQEBBAcHY7Vaz3j+fKKkWSVVFjsj2nyLMSArHX56Bda8C45cV1t8N7jscYhtX6pYpHxF1A6mScc4tqzeU2jFmY/FoHH7WMLLc6MIERERERERLwqwWdj8dJLX7l0UO3bsID8/ny5durjbbDYb7du3Jzk52aNvu3btznqdo0ePsn//ftq3//vf7BaLhbZt2+J0li6nIC5KmlVSFbYzYvZhWP4qrH4L8rNdbXGdoMc4iL+0VDFIxYmoHUy7pIYcSD3C3p2HPaoU/QJtxCREUisuXBVmIiIiIiJSrRmGUeQpkt5yau2z05dUMk2zQFtQUNA5r3em60jZqNzfSeexct8Z8cQR+Pk/sPINyDvmarugrStZduFloEXiqxyrzUL0hTWISojEnu/AYXdisfpgtVm06L+IiIiIiEglkZiYiK+vLz/99BM333wzAPn5+axdu5ZRo0YV+TphYWHUqVOH1atXc+mlrqIXh8PBhg0bPDYLKAlfX18cDkeprlEdKGlWSZ3aGTHlt/3FHlvozoi5x2DVm7BiGuQcdbXVaQ6XjYOGVypZVg0YhoHN11q86bkiIiIiIiJSIYKCgrjnnnsYO3YskZGRxMXFMXnyZLKzsxk+fHixrnX//fczadIkEhMTady4MdOmTSMjI6PUhRP169dn165dbNy4kbp16xISEoKfn1+prlkVKWlWiZXpzoh52bDmHVg+FbIPudpqNYbuj0GTq8GndNNBRURERERERKRonn/+eZxOJ4MGDeLYsWO0a9eOBQsWEBERUazrPPLII+zbt4/BgwdjsVi48847SUpKwmIp3dI8//rXv/j888/p0aMHR44cYebMmQwdOrRU16yKDLOaT3bNzMwkLCyMo0ePEhoa6u1wii0jPatYOyM27RjnudC7PRfWzYJlUyDrZNVaZIIrWXbRv8BHa1yJiIiIiIhI1ZOTk8OuXbuIj4/H39/f2+FUCk6nkyZNmnDDDTfwzDPPeDscryrs+6OouSJVmlVyJd4Z0ZEPGz6EH1+EzL9cbWFx0P0RaHEjWPS/XkRERERERKQq2717N9999x3dunUjNzeX119/nV27drnXSpPSUeakCijWzogOO/w6F5Y8D0d2uzqFxEDXMdB6EFi10JWIiIiIiIhIdeDj48OsWbMYM2YMpmly0UUXsWjRIpo0aeLt0KoFJc2qiHPujOh0wq+fwpJJcGi7a1BQbbh0NLS9DWwqVRURERERERGpTmJjY1m+fLm3w6i2lDSrYgrsjGiasPlLV7IsfbOrLSACuoyC9neAb5C3QhURERERERERqbKUNKuqTBO2fQc/PAdpm1xtfmHQeQR0uBv8q96mByIiIiIiIiIilYWSZlWNacLOJa5k2Z9rXG2+wa5EWecRriozEREREREREREpFSXNqprN/w/+O8T1uTXANQWzyygIquHVsEREREREREREqhMlzaqaRr0h8kJI7Ola5D8kytsRiYiIiIiIiIhUO0qaVTVWP7hvFVhs3o5ERERERERERKTa8vF2AFICSpiJiIiIiIiIVFndu3dn1KhR5X6fP/74g44dO+Lv70+rVq1ISUnBMAw2btxY7veuDlRpJiIiIiIiIiJSDT355JMEBQWxZcsWgoODCQ8PJy0tjZo1awKwZMkSevToQUZGBuHh4d4NthJS0kxEREREREREpBrasWMHV111FfXq1XO3RUVpbfSi0vRMEREREREREakeTBPyjnvnwzRLHHZGRgaDBw8mIiKCwMBAevfuzbZt2zz6vP3228TGxhIYGMi1117Lyy+/XGh1mGEYrFu3jqeffhrDMJgwYYLH9MyUlBR69OgBQEREBIZhMHTo0BI/Q3WkSjMRERERERERqR7ys2FijHfu/e+94BtUoqFDhw5l27ZtfPnll4SGhvLII4/Qp08fNm/ejM1mY/ny5dx999288MILXH311SxatIjx48cXes20tDR69uzJlVdeyZgxYwgODubgwYPu87GxsXz22Wf861//YsuWLYSGhhIQEFCi+KsrJc1ERERERERERLzkVLJs+fLldO7cGYA5c+YQGxvLvHnzuP7665k2bRq9e/dmzJgxADRs2JAVK1bw9ddfn/W6UVFRWK1WgoOD3VMy/5k0s1gsREZGAlC7dm2taXYGSpqJiIiIiIiISPVgC3RVfHnr3iWQnJyM1WqlQ4cO7rYaNWrQqFEjkpOTAdiyZQvXXnutx7j27dsXmjST0lPSTERERERERESqB8Mo8RRJbzHPshaaaZoYhlHg83ONk7KjjQBERERERERERLykadOm2O12Vq1a5W47dOgQW7dupUmTJgA0btyY1atXe4xbu3Ztqe/t6+sLgMPhKPW1qiMlzUREREREREREvKRBgwZcc8013HHHHfz0009s2rSJW2+9lQsuuIBrrrkGgPvvv59vvvmGl19+mW3btjFjxgy+/fbbAtVnxVWvXj0Mw+Drr7/mwIEDZGVllcUjVRtKmomIiIiIiIiIeNHMmTNp27Ytffv2pVOnTpimyTfffIPNZgOgS5cuvPnmm7z88su0bNmS+fPn8+CDD+Lv71+q+15wwQU89dRTPProo9SpU4cRI0aUxeNUG4ZZzSfBZmZmEhYWxtGjRwkNDfV2OCIiIiIiIiJSBnJycti1axfx8fGlTh5VRXfccQd//PEHy5Yt83YolVJh3x9FzRVpIwARERERERERkUrupZdeolevXgQFBfHtt98ye/Zspk+f7u2wqjUlzUREREREREREKrnVq1czefJkjh07RkJCAq+99hq33367t8Oq1pQ0ExERERERERGp5ObOnevtEM472ghARERERERERETkNEqaiYiIiIiIiEiVVc33N5QSKovvCyXNRERERERERKTKsdlsAGRnZ3s5EqmMTn1fnPo+KYkqsabZ9OnTefHFF0lLS6NZs2ZMnTqVSy+91NthiYiIiIiIiIiXWCwWwsPDSU9PByAwMBDDMLwclXibaZpkZ2eTnp5OeHg4FoulxNeq9EmzTz75hFGjRjF9+nS6dOnCjBkz6N27N5s3byYuLs7b4YmIiIiIiIiIl0RFRQG4E2cip4SHh7u/P0rKMCv55N8OHTrQpk0b3njjDXdbkyZN6N+/P5MmTTrn+MzMTMLCwjh69CihoaHlGaqIiIiIiIiIeIHD4SA/P9/bYUglYbPZCq0wK2quqFJXmuXl5bFu3ToeffRRj/YrrriCFStWnHFMbm4uubm57uPMzMxyjVFEREREREREvMtisZRqGp7ImVTqjQAOHjyIw+GgTp06Hu116tRh3759ZxwzadIkwsLC3B+xsbEVEaqIiIiIiIiIiFQjlTppdsrpC/mZpnnWxf0ee+wxjh496v7Ys2dPRYQoIiIiIiIiIiLVSKWenlmzZk0sFkuBqrL09PQC1Wen+Pn54efnVxHhiYiIiIiIiIhINVWpk2a+vr60bduWhQsXcu2117rbFy5cyDXXXFOka5za50Brm4mIiIiIiIiIyKkc0bn2xqzUSTOA0aNHM2jQINq1a0enTp146623SE1N5e677y7S+GPHjgFobTMREREREREREXE7duwYYWFhZz1f6ZNmAwcO5NChQzz99NOkpaVx0UUX8c0331CvXr0ijY+JiWHPnj2EhIScdR20M8nMzCQ2NpY9e/YUuv2oiBSNfqZEypZ+pkTKln6mRMqWfqZEypZ+psqWaZocO3aMmJiYQvsZ5rlq0c5TmZmZhIWFcfToUX1DipQB/UyJlC39TImULf1MiZQt/UyJlC39THlHldg9U0REREREREREpCIpaSYiIiIiIiIiInIaJc3Ows/PjyeffBI/Pz9vhyJSLehnSqRs6WdKpGzpZ0qkbOlnSqRs6WfKO7SmmYiIiIiIiIiIyGlUaSYiIiIiIiIiInIaJc1EREREREREREROo6SZiIiIiIiIiIjIaZQ0ExEREREREREROY2SZucwadIkDMNg1KhR3g5FpMr666+/uPXWW6lRowaBgYG0atWKdevWeTsskSrJbrfz+OOPEx8fT0BAAAkJCTz99NM4nU5vhyZSJfz444/069ePmJgYDMNg3rx5HudN02TChAnExMQQEBBA9+7d+f33370TrEgVUNjPVH5+Po888gjNmzcnKCiImJgYBg8ezN69e70XsEgld66/U/901113YRgGU6dOrbD4zjdKmhVizZo1vPXWW7Ro0cLboYhUWRkZGXTp0gWbzca3337L5s2bmTJlCuHh4d4OTaRKeuGFF3jzzTd5/fXXSU5OZvLkybz44otMmzbN26GJVAnHjx+nZcuWvP7662c8P3nyZF5++WVef/111qxZQ1RUFL169eLYsWMVHKlI1VDYz1R2djbr169n/PjxrF+/ns8//5ytW7dy9dVXeyFSkarhXH+nTpk3bx6rVq0iJiamgiI7P1m9HUBllZWVxS233MLbb7/Ns88+6+1wRKqsF154gdjYWGbOnOluq1+/vvcCEqnifv75Z6655hquuuoqwPXz9NFHH7F27VovRyZSNfTu3ZvevXuf8ZxpmkydOpVx48YxYMAAAGbPnk2dOnX4v//7P+66666KDFWkSijsZyosLIyFCxd6tE2bNo327duTmppKXFxcRYQoUqUU9jN1yl9//cWIESNYsGCB+zWhlA9Vmp3Ffffdx1VXXUXPnj29HYpIlfbll1/Srl07rr/+emrXrk3r1q15++23vR2WSJV1ySWXsHjxYrZu3QrApk2b+Omnn+jTp4+XIxOp+nbt2sW+ffu44oor3G1+fn5069aNFStWeDEykerj6NGjGIahWQciJeR0Ohk0aBBjx46lWbNm3g6n2lOl2Rl8/PHHrF+/njVr1ng7FJEqb+fOnbzxxhuMHj2af//736xevZqRI0fi5+fH4MGDvR2eSJXzyCOPcPToURo3bozFYsHhcPDcc89x0003eTs0kSpv3759ANSpU8ejvU6dOuzevdsbIYlUKzk5OTz66KPcfPPNhIaGejsckSrphRdewGq1MnLkSG+Hcl5Q0uw0e/bs4YEHHuC7777D39/f2+GIVHlOp5N27doxceJEAFq3bs3vv//OG2+8oaSZSAl88sknfPjhh/zf//0fzZo1Y+PGjYwaNYqYmBiGDBni7fBEqgXDMDyOTdMs0CYixZOfn8+NN96I0+lk+vTp3g5HpEpat24dr776KuvXr9ffpQqi6ZmnWbduHenp6bRt2xar1YrVamXp0qW89tprWK1WHA6Ht0MUqVKio6Np2rSpR1uTJk1ITU31UkQiVdvYsWN59NFHufHGG2nevDmDBg3iwQcfZNKkSd4OTaTKi4qKAv6uODslPT29QPWZiBRdfn4+N9xwA7t27WLhwoWqMhMpoWXLlpGenk5cXJw7X7F7924eeughrRtdTlRpdprLL7+cX3/91aPttttuo3HjxjzyyCNYLBYvRSZSNXXp0oUtW7Z4tG3dupV69ep5KSKRqi07OxsfH8/3vCwWC06n00sRiVQf8fHxREVFsXDhQlq3bg1AXl4eS5cu5YUXXvBydCJV06mE2bZt2/jhhx+oUaOGt0MSqbIGDRpUYN31pKQkBg0axG233ealqKo3Jc1OExISwkUXXeTRFhQURI0aNQq0i8i5Pfjgg3Tu3JmJEydyww03sHr1at566y3eeustb4cmUiX169eP5557jri4OJo1a8aGDRt4+eWXGTZsmLdDE6kSsrKy2L59u/t4165dbNy4kcjISOLi4hg1ahQTJ06kQYMGNGjQgIkTJxIYGMjNN9/sxahFKq/CfqZiYmK47rrrWL9+PV9//TUOh8NdyRkZGYmvr6+3whaptM71d+r0xLPNZiMqKopGjRpVdKjnBcM0TdPbQVR23bt3p1WrVkydOtXboYhUSV9//TWPPfYY27ZtIz4+ntGjR3PHHXd4OyyRKunYsWOMHz+eL774gvT0dGJiYrjpppt44okn9I8PkSJYsmQJPXr0KNA+ZMgQZs2ahWmaPPXUU8yYMYOMjAw6dOjAf/7zH715KnIWhf1MTZgwgfj4+DOO++GHH+jevXs5RydS9Zzr79Tp6tevz6hRoxg1alT5B3ceUtJMRERERERERETkNNoIQERERERERERE5DRKmomIiIiIiIiIiJxGSTMREREREREREZHTKGkmIiIiIiIiIiJyGiXNRERERERERERETqOkmYiIiIiIiIiIyGmUNBMRERERERERETmNkmYiIiIi59C9e3dGjRrl7TDOaMKECbRq1apYY+rXr8/UqVPLJR4RERGR6kJJMxEREZHznGEYzJs3z9thiIiIiFQqSpqJiIiIiIiIiIicRkkzERERkWLKyMhg8ODBREREEBgYSO/evdm2bZtHn7fffpvY2FgCAwO59tprefnllwkPDy/0uo888ggNGzYkMDCQhIQExo8fT35+vkef559/njp16hASEsLw4cPJycnxOH+mqaT9+/dn6NChZ7xn/fr1Abj22msxDMN9fLqUlBQMw2Du3LlceumlBAQEcPHFF7N161bWrFlDu3btCA4O5sorr+TAgQPucWvWrKFXr17UrFmTsLAwunXrxvr16z2uPWHCBOLi4vDz8yMmJoaRI0e6z02fPp0GDRrg7+9PnTp1uO666wr5CoqIiIiUHSXNRERERIpp6NChrF27li+//JKff/4Z0zTp06ePO8G1fPly7r77bh544AE2btxIr169eO6558553ZCQEGbNmsXmzZt59dVXefvtt3nllVfc5+fOncuTTz7Jc889x9q1a4mOjmb69OmlepY1a9YAMHPmTNLS0tzHZ/Pkk0/y+OOPs379eqxWKzfddBMPP/wwr776KsuWLWPHjh088cQT7v7Hjh1jyJAhLFu2jJUrV9KgQQP69OnDsWPHAPj000955ZVXmDFjBtu2bWPevHk0b94cgLVr1zJy5EiefvpptmzZwvz58+natWupnldERESkqKzeDkBERESkKtm2bRtffvkly5cvp3PnzgDMmTOH2NhY5s2bx/XXX8+0adPo3bs3Y8aMAaBhw4asWLGCr7/+utBrP/744+7P69evz0MPPcQnn3zCww8/DMDUqVMZNmwYt99+OwDPPvssixYtKlBtVhy1atUCIDw8nKioqHP2HzNmDElJSQA88MAD3HTTTSxevJguXboAMHz4cGbNmuXuf9lll3mMnzFjBhERESxdupS+ffuSmppKVFQUPXv2xGazERcXR/v27QFITU0lKCiIvn37EhISQr169WjdunWJn1VERESkOFRpJiIiIlIMycnJWK1WOnTo4G6rUaMGjRo1Ijk5GYAtW7a4Ez+nnH58Jp9++imXXHIJUVFRBAcHM378eFJTUz3u3alTJ48xpx+XtxYtWrg/r1OnDoC7MuxUW3p6uvs4PT2du+++m4YNGxIWFkZYWBhZWVnu57r++us5ceIECQkJ3HHHHXzxxRfY7XYAevXqRb169UhISGDQoEHMmTOH7OzsinhMERERESXNRERERIrDNM2zthuGUeDzc407ZeXKldx444307t2br7/+mg0bNjBu3Djy8vKKFZ+Pj0+Be52+Llpp2Gw29+ennvH0NqfT6T4eOnQo69atY+rUqaxYsYKNGzdSo0YN93PFxsayZcsW/vOf/xAQEMC9995L165dyc/PJyQkhPXr1/PRRx8RHR3NE088QcuWLTly5EiZPY+IiIjI2ShpJiIiIlIMTZs2xW63s2rVKnfboUOH2Lp1K02aNAGgcePGrF692mPc2rVrC73u8uXLqVevHuPGjaNdu3Y0aNCA3bt3e/Rp0qQJK1eu9Gg7/bhWrVqkpaW5jx0OB7/99luh97bZbDgcjkL7lNSyZcsYOXIkffr0oVmzZvj5+XHw4EGPPgEBAVx99dW89tprLFmyhJ9//plff/0VAKvVSs+ePZk8eTK//PILKSkpfP/99+USq4iIiMg/aU0zERERkWJo0KAB11xzDXfccQczZswgJCSERx99lAsuuIBrrrkGgPvvv5+uXbvy8ssv069fP77//nu+/fbbAtVn/5SYmEhqaioff/wxF198Mf/73//44osvPPo88MADDBkyhHbt2nHJJZcwZ84cfv/9dxISEtx9LrvsMkaPHs3//vc/LrzwQl555ZVzVmbVr1/fvS6Zn58fERERJf8CneG5PvjgA9q1a0dmZiZjx44lICDAfX7WrFk4HA46dOhAYGAgH3zwAQEBAdSrV4+vv/6anTt30rVrVyIiIvjmm29wOp00atSozOITERERORtVmomIiIgU08yZM2nbti19+/alU6dOmKbJN998456m2KVLF958801efvllWrZsyfz583nwwQfx9/c/6zWvueYaHnzwQUaMGEGrVq1YsWIF48eP9+gzcOBAnnjiCR555BHatm3L7t27ueeeezz6DBs2jCFDhjB48GC6detGfHw8PXr0KPR5pkyZwsKFC4mNjS3zhfbfe+89MjIyaN26NYMGDWLkyJHUrl3bfT48PJy3336bLl260KJFCxYvXsxXX31FjRo1CA8P5/PPP+eyyy6jSZMmvPnmm3z00Uc0a9asTGMUERERORPDPNcCGyIiIiJSanfccQd//PEHy5Yt83YoIiIiIlIEmp4pIiIiUg5eeuklevXqRVBQEN9++y2zZ89m+vTp3g5LRERERIpIlWYiIiIi5eCGG25gyZIlHDt2jISEBO6//37uvvtub4clIiIiIkWkpJmIiIiIiIiIiMhptBGAiIiIiIiIiIjIaZQ0ExEREREREREROY2SZiIiIiIiIiIiIqdR0kxEREREREREROQ0SpqJiIiIiIiIiIicRkkzERERERERERGR0yhpJiIiIiIiIiIicholzURERERERERERE6jpJmIiIiIiIiIiMhp/j/xy32Dq8ElNQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for f in colors:\n", " sub = carnivores[carnivores.Family == f]\n", " plt.scatter(sub.logAdultBodyMass_g, sub.logNeonateBodyMass_g, color=colors[f], s=100, label=f)\n", "pred2 = pd.DataFrame({\n", " \"logAdultBodyMass_g\": np.linspace(np.min(carnivores.logAdultBodyMass_g),\n", " np.max(carnivores.logAdultBodyMass_g), 201)\n", "})\n", "pred2['logNeonateBodyMass_g'] = fit2.predict(pred2)\n", "plt.plot(np.log(pred.AdultBodyMass_g), np.log(pred.NeonateBodyMass_g), label='orig fit')\n", "plt.plot(pred2.logAdultBodyMass_g, pred2.logNeonateBodyMass_g, label='log fit')\n", "plt.xlabel(\"log adult mass\"); plt.ylabel(\"log neonate mass\"); plt.legend();" ] }, { "cell_type": "code", "execution_count": 24, "id": "1f096ae1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([1.03054634]),\n", " -4.039480935997145,\n", " 0.017606609001126764,\n", " 1.4614248379177655)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit2.coef_, fit2.intercept_, np.exp(fit2.intercept_), np.exp(np.std(np.log(pred.AdultBodyMass_g) - np.log(pred.NeonateBodyMass_g)))" ] }, { "cell_type": "markdown", "id": "1b79b071", "metadata": {}, "source": [ "Across carnivores, babies are about 1.8% the mass of adults, at birth,\n", "mostly to within about 50% of that." ] }, { "cell_type": "markdown", "id": "5b2aac6c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Conclusions?\n", "\n", "1. taking logs is definitely the way to fit these data\n", "2. each family looks to have a different relationship\n", "3. so a better model would allow different lines for each family" ] }, { "cell_type": "code", "execution_count": 26, "id": "e0ce08fe", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "slopes = {}\n", "for f in colors:\n", " sub = carnivores[carnivores.Family == f]\n", " fit_sub = lm().fit(sub[['logAdultBodyMass_g']], sub.logNeonateBodyMass_g)\n", " slopes[f] = fit_sub.coef_\n", " plt.scatter(sub.logAdultBodyMass_g, sub.logNeonateBodyMass_g, color=colors[f], s=100, label=f)\n", " pred_sub = pd.DataFrame({\n", " \"logAdultBodyMass_g\": np.linspace(np.min(sub.logAdultBodyMass_g),\n", " np.max(sub.logAdultBodyMass_g), 201)\n", " })\n", " pred_sub['logNeonateBodyMass_g'] = fit_sub.predict(pred_sub)\n", " plt.plot(pred_sub.logAdultBodyMass_g, pred_sub.logNeonateBodyMass_g, color=colors[f])\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "4aef20d9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Next steps: Fit the model with the additional variables\n", "to see if maybe we don't need separate models by family any more?\n", "Perhaps `AgeatEyeOpening_d` and `WeaningAge_d`?" ] }, { "cell_type": "code", "execution_count": 76, "id": "8fc2a7e0", "metadata": {}, "outputs": [], "source": [ "is_nan = np.logical_or(np.isnan(carnivores.loc[:,\"AgeatEyeOpening_d\"]),\n", " np.isnan(carnivores.loc[:,\"WeaningAge_d\"]))\n", "next_data = carnivores.loc[~is_nan,:].copy()\n", "pred_vars = [\"logAdultBodyMass_g\", \"AgeatEyeOpening_d\", \"WeaningAge_d\"]\n", "next_X = next_data.loc[:,pred_vars]\n", "next_fit = lm().fit(next_X, next_data[['logNeonateBodyMass_g']], )\n", "next_data[\"predicted\"] = next_fit.predict(next_data[pred_vars])" ] }, { "cell_type": "code", "execution_count": 101, "id": "f363b4bc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([[ 8.93884874e-01, -4.98590099e-02, -3.01133804e-05]]),\n", " array([1.03054634]))" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], "source": [ "next_fit.coef_, fit2.coef_" ] }, { "cell_type": "code", "execution_count": 93, "id": "df165d6a", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for f in colors:\n", " sub = next_data.loc[carnivores.Family == f,:]\n", " if sub.shape[0] > 1:\n", " plt.scatter(\n", " sub[['logAdultBodyMass_g']],\n", " sub[['logNeonateBodyMass_g']],\n", " color=colors[f], s=100, label=f\n", " )\n", "pred2['AgeatEyeOpening_d'] = np.mean(next_data['AgeatEyeOpening_d'])\n", "pred2['WeaningAge_d'] = np.mean(next_data['WeaningAge_d'])\n", "pred2['next_pred'] = next_fit.predict(pred2[pred_vars])\n", "plt.plot(pred2.logAdultBodyMass_g, pred2.logNeonateBodyMass_g, label='univariate fit')\n", "plt.plot(pred2.logAdultBodyMass_g, pred2.next_pred, label='multivariate fit, at mean values')\n", "plt.xlabel(\"log adult mass\"); plt.ylabel(\"log neonate mass\"); plt.legend();" ] }, { "cell_type": "code", "execution_count": 92, "id": "d3cde65b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax0, ax1) = plt.subplots(1, 2)\n", "\n", "# observed versus predicted\n", "for f in colors:\n", " sub = next_data.loc[carnivores.Family == f,:]\n", " if sub.shape[0] > 1:\n", " ax0.scatter(\n", " sub[['predicted']],\n", " sub[['logNeonateBodyMass_g']],\n", " color=colors[f], s=100, label=f\n", " )\n", "ax0.set_xlabel(\"predicted log neonate body mass\")\n", "ax0.set_ylabel(\"observed log neonate body mass\")\n", "\n", "# residual versus predicted\n", "\n", "for f in colors:\n", " sub = next_data.loc[carnivores.Family == f,:]\n", " if sub.shape[0] > 1:\n", " ax1.scatter(\n", " sub[['predicted']],\n", " sub.loc[:,'logNeonateBodyMass_g'] - sub.loc[:,'predicted'],\n", " color=colors[f], s=100, label=f\n", " )\n", "ax1.set_xlabel(\"predicted log neonate body mass\")\n", "ax1.set_ylabel(\"residual log neonate body mass\")\n", "ax0.legend();" ] }, { "cell_type": "code", "execution_count": 100, "id": "e8a4e2d9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The standard deviation of the residuals for the original, univariate model was 0.87, and the for the multivariate model with eye opening and weaning times, it is 0.68.\n" ] } ], "source": [ "orig_resids = next_data.loc[:,'logNeonateBodyMass_g'] - fit2.predict(next_data[[\"logAdultBodyMass_g\"]])\n", "new_resids = next_data.loc[:,'logNeonateBodyMass_g'] - next_data.loc[:,'predicted']\n", "\n", "print(f\"The standard deviation of the residuals for the original, univariate model was \"\n", " f\"{np.std(orig_resids):.2f}, and the for the multivariate model with eye opening and weaning times, \"\n", " f\"it is {np.std(new_resids):.2f}.\"\n", ")" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" }, "rise": { "scroll": true, "transition": "none" } }, "nbformat": 4, "nbformat_minor": 5 }