{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ksachdeva/rethinking-tensorflow-probability/blob/master/notebooks/16_generalized_linear_madness.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 16. Generalized Linear Madness" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Install packages that are not installed in colab\n", "try:\n", " import google.colab\n", " %pip install -q watermark\n", " %pip install git+https://github.com/ksachdeva/rethinking-tensorflow-probability.git\n", "except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%load_ext watermark" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Core\n", "import numpy as np\n", "import arviz as az\n", "import tensorflow as tf\n", "import tensorflow_probability as tfp\n", "\n", "# visualization\n", "import matplotlib.pyplot as plt\n", "\n", "from rethinking.data import RethinkingDataset\n", "from rethinking.data import dataframe_to_tensors\n", "from rethinking.mcmc import sample_posterior\n", "\n", "# aliases\n", "tfd = tfp.distributions\n", "tfb = tfp.bijectors\n", "Root = tfd.JointDistributionCoroutine.Root\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "numpy : 1.21.5\n", "tensorflow : 2.7.0\n", "tensorflow_probability: 0.15.0\n", "arviz : 0.11.4\n", "scipy : 1.7.3\n", "pandas : 1.3.5\n", "rethinking : 0.1.0\n", "\n" ] } ], "source": [ "%watermark -p numpy,tensorflow,tensorflow_probability,arviz,scipy,pandas,rethinking" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# config of various plotting libraries\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 16.1 Geometric people" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 16.1.1 The scientific model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 16.1.2 The statistical model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.1\n", "\n", "Even though Generalized Linear Models are very powerful, not everything can still be modeled as a GLM - a linear combination of variables mapped onto a non-linear outcome.\n", "\n", "Author strongly suggests that starting with GLM instead of real models may have severe consequences as it may be difficult to learn from failures in this case. \n", "\n", "Here the focus is going to be using scientific information in modeling" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " height weight age male w h\n", "0 151.765 47.825606 63.0 1 1.343015 1.097650\n", "1 139.700 36.485807 63.0 0 1.024577 1.010389\n", "2 136.525 31.864838 65.0 0 0.894813 0.987425\n", "3 156.845 53.041914 41.0 1 1.489497 1.134391\n", "4 145.415 41.276872 51.0 0 1.159117 1.051723\n", ".. ... ... ... ... ... ...\n", "539 145.415 31.127751 17.0 1 0.874114 1.051723\n", "540 162.560 52.163080 31.0 1 1.464818 1.175725\n", "541 156.210 54.062497 21.0 0 1.518157 1.129798\n", "542 71.120 8.051258 0.0 1 0.226092 0.514380\n", "543 158.750 52.531624 68.0 1 1.475167 1.148169\n", "\n", "[544 rows x 6 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = RethinkingDataset.Howell1.get_dataset()\n", "\n", "# scale observed variables\n", "d[\"w\"] = d.weight / d.weight.mean()\n", "d[\"h\"] = d.height / d.height.mean()\n", "\n", "d\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "tdf = dataframe_to_tensors(\"Howell1\", d, [\"h\", \"w\"])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.2\n", "\n", "The first thing to notice about the parameters k and p is that they are multiplied in the model and the data have no way to estimate anything except their product\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def model_16_1(h):\n", " def _generator():\n", " p = yield Root(tfd.Sample(tfd.Beta(2.0, 18.0, name=\"p\"), sample_shape=1))\n", " k = yield Root(tfd.Sample(tfd.Exponential(rate=0.5, name=\"k\"), sample_shape=1))\n", " sigma = yield Root(\n", " tfd.Sample(tfd.Exponential(rate=1.0, name=\"sigma\"), sample_shape=1)\n", " )\n", "\n", " term1 = p ** 2\n", " term2 = h ** 3\n", "\n", " mu = tf.math.log(3.141593 * k[..., tf.newaxis] * term1[..., tf.newaxis] * term2)\n", "\n", " scale = sigma[..., tf.newaxis]\n", "\n", " w = yield tfd.Independent(\n", " tfd.LogNormal(loc=mu, scale=scale), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_16_1 = model_16_1(tdf.h)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n", "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n", "WARNING:tensorflow:@custom_gradient grad_fn has 'variables' in signature, but no ResourceVariables were used on the forward pass.\n" ] } ], "source": [ "NUM_CHAINS_FOR_16_1 = 2\n", "\n", "# Note - if I use zeros as the starting point\n", "# then the sampled params are really bad\n", "#\n", "# So starting the init state sampled from the model\n", "# itself\n", "p_init, k_init, sigma_init, _ = jdc_16_1.sample()\n", "\n", "init_state = [\n", " tf.tile(p_init, (NUM_CHAINS_FOR_16_1,)),\n", " tf.tile(k_init, (NUM_CHAINS_FOR_16_1,)),\n", " tf.tile(sigma_init, (NUM_CHAINS_FOR_16_1,)),\n", "]\n", "\n", "\n", "bijectors = [\n", " tfb.Identity(),\n", " tfb.Exp(),\n", " tfb.Exp(),\n", "]\n", "\n", "posterior_16_1, trace_16_1 = sample_posterior(\n", " jdc_16_1,\n", " observed_data=(tdf.w,),\n", " params=[\"p\", \"k\", \"sigma\"],\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.3" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 261, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h_seq = np.linspace(0, d.h.max(), num=30)\n", "\n", "p_sample = trace_16_1.posterior[\"p\"].values[0]\n", "k_sample = trace_16_1.posterior[\"k\"].values[0]\n", "sigma_sample = trace_16_1.posterior[\"sigma\"].values[0]\n", "\n", "\n", "def compute_w_from_samples(h):\n", " mu = tf.math.log(3.141593 * k_sample * p_sample ** 2 * h ** 3)\n", " return tfd.LogNormal(loc=mu, scale=sigma_sample).sample().numpy()\n", "\n", "\n", "w_sim = np.array(list(map(compute_w_from_samples, h_seq))).T\n", "\n", "mu_mean = np.mean(w_sim, 0)\n", "w_CI = np.percentile(w_sim, q=(5.5, 94.5), axis=0)\n", "\n", "plt.plot(d.h, d.w, \"o\", c=\"royalblue\", mfc=\"none\")\n", "plt.gca().set(\n", " xlim=(0, d.h.max()),\n", " ylim=(0, d.w.max()),\n", " xlabel=\"height (scaled)\",\n", " ylabel=\"weight (scaled)\",\n", ")\n", "plt.plot(h_seq, mu_mean, \"k\")\n", "plt.fill_between(h_seq, w_CI[0], w_CI[1], color=\"k\", alpha=0.2)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 16.2 Hidden minds and observed behavior" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.4\n", "\n", "\n", "This dataset is about choices of the children.\n", "\n", "Apparatus has 3 tubes of different colors - Yellow, Blue and Red.\n", "\n", "If you drop a ball in the tube then a toy comes out. \n", "\n", "4 children demonstrated how the apparatus works i.e. they dropped the balls in the tube and showed that toys come out. \n", "\n", "629 children were involved aged 4 to 14 years\n", "\n", "In each trial, 3 demonstrator children chose the same color and the fourth one chose a differnt color. So out of 3 colors, 1 was selected by majority (i.e. 3 here), 1 was minority and 1 was not selected.\n", "\n", "The dataset is about the 5th children's choice once he/she has the seen the demonstration by 4 children. The task is to determine if his/her choice was impacted by the majority.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_5.5%hdi_94.5%
y2.1210.7281.03.0
gender1.5060.5001.02.0
age8.0302.4985.012.0
majority_first0.4850.5000.01.0
culture3.7521.9601.06.0
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" ], "text/plain": [ " mean sd hdi_5.5% hdi_94.5%\n", "y 2.121 0.728 1.0 3.0\n", "gender 1.506 0.500 1.0 2.0\n", "age 8.030 2.498 5.0 12.0\n", "majority_first 0.485 0.500 0.0 1.0\n", "culture 3.752 1.960 1.0 6.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = RethinkingDataset.Boxes.get_dataset()\n", "info = az.from_dict(dict(zip(d.columns, d.values.T)))\n", "az.summary(info, kind=\"stats\", hdi_prob=0.89)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.5\n", "\n", "\n", "1 -> unchosen color by demonstrators\n", "\n", "2 -> majority color\n", "\n", "3 -> minority color" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1 0.211447\n", "3 0.332273\n", "2 0.456280\n", "Name: y, dtype: float64" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.y.value_counts(sort=False) / d.y.shape[0]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above shows, that majority color was indeed chosen by the fifth children. But does this mean it was simply because of demonstration ? Was it the **cause** of what we are seeing in the data ?\n", "\n", "Authors says that we can not be sure of it because there could be different strategies and it may be the case that one of the strategy led to the same choice" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.6\n", "\n", "If we simulate choices for these children, we can figure out how often we might see the “2” choice, the one that indicates the majority color." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.6\n" ] } ], "source": [ "N = 30 # number of children\n", "\n", "# half are random\n", "# sample from 1,2,3 at random for each\n", "y1 = np.array([1, 2, 3])[\n", " tfd.Sample(tfd.Categorical(logits=np.ones(3)), sample_shape=(N // 2,))\n", " .sample()\n", " .numpy()\n", "]\n", "\n", "# half follow majority\n", "y2 = np.repeat(2, N // 2)\n", "\n", "# combine\n", "y = np.concatenate([y1, y2])\n", "\n", "# shuffle\n", "np.random.shuffle(y)\n", "\n", "# count the 2s\n", "print(np.sum(y == 2) / N)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "About 2/3rd of the choices are for the majority color (i.e. 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 16.2.2 The statistical model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code 16.7 (Not working !)\n", "\n", "Having issues with shape again :(" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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ygenderagemajority_firstculture
count629.000000629.000000629.000000629.000000629.000000
mean2.1208271.5055648.0302070.4848973.751987
std0.7279860.5003672.4979060.5001701.960319
min1.0000001.0000004.0000000.0000001.000000
25%2.0000001.0000006.0000000.0000003.000000
50%2.0000002.0000008.0000000.0000003.000000
75%3.0000002.00000010.0000001.0000005.000000
max3.0000002.00000014.0000001.0000008.000000
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" ], "text/plain": [ " y gender age majority_first culture\n", "count 629.000000 629.000000 629.000000 629.000000 629.000000\n", "mean 2.120827 1.505564 8.030207 0.484897 3.751987\n", "std 0.727986 0.500367 2.497906 0.500170 1.960319\n", "min 1.000000 1.000000 4.000000 0.000000 1.000000\n", "25% 2.000000 1.000000 6.000000 0.000000 3.000000\n", "50% 2.000000 2.000000 8.000000 0.000000 3.000000\n", "75% 3.000000 2.000000 10.000000 1.000000 5.000000\n", "max 3.000000 2.000000 14.000000 1.000000 8.000000" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.describe()\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def make_boxes_model(N, y, majority_first):\n", " def _generator():\n", " # prior\n", " p = yield Root(\n", " tfd.Sample(\n", " tfd.Dirichlet(tf.cast(np.repeat(4, 5), dtype=tf.float32)),\n", " sample_shape=1,\n", " )\n", " )\n", "\n", " # probability of data\n", " phi = [None] * 5\n", " phi[0] = np.where(y == 2, 1, 0) # majority\n", " phi[1] = np.where(y == 3, 1, 0) # minority\n", " phi[2] = np.where(y == 1, 1, 0) # maverick\n", " phi[3] = np.repeat(1.0 / 3.0, N) # random\n", " phi[4] = np.where(\n", " majority_first == 1, # follow first\n", " np.where(y == 2, 1, 0),\n", " np.where(y == 3, 1, 0),\n", " )\n", "\n", " # ps = tf.squeeze(p)\n", " ps = p\n", " phi = np.array(phi, dtype=np.float32)\n", "\n", " print(ps.shape)\n", " print(phi.shape)\n", "\n", " # compute log( p_s * Pr(y_i|s )\n", " for j in range(5):\n", " phi[j] = tf.math.log(ps[j]) + tf.math.log(phi[j])\n", "\n", " # compute average log-probability of y\n", " logprob = tf.math.reduce_logsumexp(tf.stack(tf.constant(phi), axis=1), axis=1)\n", "\n", " w = yield tfd.Independent(\n", " tfd.Deterministic(loc=logprob), reinterpreted_batch_ndims=1\n", " )\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# dat= dict(N=d.shape[0],\n", "# y=d.y.values,\n", "# majority_first=d.majority_first.values)\n", "\n", "tdf = dataframe_to_tensors(\"Boxes\", d, [\"y\", \"majority_first\"])\n", "\n", "jdc_boxes_model = make_boxes_model(d.shape[0], tdf.y, tdf.majority_first)\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# uncomment the line below to see the error\n", "\n", "# jdc_boxes_model.sample(2)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.8 (depends on 16.7) [Not implemented]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 16.3 Ordinary differential nut cracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.9\n", "\n", "Modelling nut opening skill of chimpanzees" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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chimpanzeeagesexhammernuts_openedsecondshelp
0113mG061.0N
1113mG037.0N
2184fwood020.0N
3184fG014.0y
4184fL013.0N
........................
791015mG712.0N
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83616mG2536.0N
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84 rows × 7 columns

\n", "
" ], "text/plain": [ " chimpanzee age sex hammer nuts_opened seconds help\n", "0 11 3 m G 0 61.0 N\n", "1 11 3 m G 0 37.0 N\n", "2 18 4 f wood 0 20.0 N\n", "3 18 4 f G 0 14.0 y\n", "4 18 4 f L 0 13.0 N\n", ".. ... ... .. ... ... ... ...\n", "79 10 15 m G 7 12.0 N\n", "80 10 15 m G 5 12.5 N\n", "81 6 15 m G 8 13.0 N\n", "82 6 16 m G 24 20.0 N\n", "83 6 16 m G 25 36.0 N\n", "\n", "[84 rows x 7 columns]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = RethinkingDataset.PandaNuts.get_dataset()\n", "d\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to understand how nut opening skills develop and which factors contribute to it. \n", "\n", "We need a generative model of nut opening rate as it varies by age.\n", "\n", "On simple factor to assume is the individual's strenght and as age increases it increases as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.10" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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KpV3/x9ramlnlhNvetoQmuVxuZpg3bt8SiURYWVnh/64ODAxgfn4ey8vLWFtbe2fEtiOQyCAIgiCId4iNjQ2MjY3xi5TR0VGHF+5ubm4IDg7mBUVwcDB8fX13bPJlWRazs7N8KxbXjuWsUXwvEIlEkEgkYFkW6+vrfJuTXq/flQWsTCbj07Q4M7yfn59LzdYcGo2GN8UbC4rdaG/i4octzTFxd3e3WwHjYoaNhx9yX79NQkIikVhs3eKEhEQigV6vx+zsLIaHhzExMYG2tjYsLi5iZWUFWq3WJV4PoVAINzc3Pl7X3d3dBZ/OtZDIIAiCIIi3FJZlMTMzg5GREYyMjGB0dBRTU1MOLVKkUilCQkIQHByMkJAQhISEwMvLa8ftTpyg4ComnKDY2jpki72Y78AtyhiGwcbGBj+kTafT7UobkIeHh8VkLblc7rL4V461tTWTgYecsHB11UggEPACYmvrliOxtty0963DD2dnZ9/o5G17GMf3GrdxeXt7QyaTgWEYaLVaTE5OYnh4GK2trfxnWFtbc8nvE/f7yrVX+fn58X+Xvby8zATpv//3/37H53Q1JDIIgiAI4i1hY2MDIyMjGB4e5oWFI605IpGIFxKhoaEICQmBt7e3SwTFwsICXzXh/B2OCgru/FsFxW4LDJlMBolEAq1Wy7f/6PX6XUmlMhYTxslaMpnM5efixASXssVtrvYeKBQKi61bjlZbNjY2TIYeGldQ3oZ2IIFAYNa2xT16eXlBJNpcHmu1WkxMTGBoaAhdXV2YnZ3F0tIS1tfXd/w5GIaBVCrlJ4X7+fkhKCgIYWFh8PX1tWlof1cgkUEQBEEQewDnWRgaGsLw8DCGh4cdqlIwDIOAgACEhIQgLCwMoaGh8Pf3d0mrzerqKu/t4DZHW1UsCYrdFhMikYhvxVlfX+fbs9bW1lzeYiOVSvk0LeNNLpe79DzA5uKWExPGmyvv9nNVCX9/f/j6+vLVFl9fX7tma+CP07iNKyecmHgbqhJCoRDe3t68Qd64hcvYB6LX6zEzM4PBwUG0t7fzFSBX+COEQiFkMhmUSiW8vb0RGBiIsLAwBAYG7srvzdsGiQyCIAiCeAOwLIupqSkMDQ3xmyPtLO7u7ryYCAsLQ0hIiEOLQHvo9XpMTEyYtGLNz8879F5ugWbc1/8mqhNyuRwGgwErKyvQaDTQ6XQuj+5kGAZ+fn4mUb2uStbaCmfANo7tnZycxNzcnMvOIRaLTbwf3Nfe3t4O3S3nJr0bV1A4UbHXnhuGYXghYewF8fX1NRES3GfgKhKTk5NYWFjA6uoq3za3XcRiMeRyOTw9PfmWpvDwcPj5+b0X1YidQCKDIAiCIHYBg8GA8fFxDA4OYnBwEENDQ3YXZQzD8Hc7w8PDER4e7hIfBQCo1WqTNqyxsTGH7tQKBAIwDGOy727HZSoUCri5ucFgMECtVkOj0exKdUImkyEoKAgBAQF8spa/vz/fLuNK1tfX+che40nqrvKDSCQSEw8It3l6ejr0+2M8nI4TE9yjM36b3WBrhC9XcdkqlHQ6HSYnJ9HW1oaxsTHMzMxgaWkJGxsbOxLBYrEY7u7u8PT05KuI4eHh8Pb2drlZ/32CRAZBEARBuAC9Xo/x8XEMDAzwosLe4kwikSAsLAwREREIDw9HaGioS6oUBoOBr5qMjIxgaGjI4Tv+YrEYer2eFxK7KSi46cUymYwXFOvr61Cr1S5vufH29jaJ6g0KCoJCoXB5dYLzsUxMTPBiYmJiwmUVF5FIZOb/CAgIcFhMAJvtZFzVxFhQ7GVlQiAQmIkIrvqyNcJ3bW0Nw8PDaGhowPj4OObn5/nkpu0iEon4wX/+/v4ICQlBREQEfHx8SEhsExIZBEEQBLENWJbFxMQE+vv7eWFhT1TI5XJERkYiIiICERERCAoKcskCRqvVYmRkBIODg3y1wpG7z9xQOeO76TttH7GFUqmEu7s7f9d8eXkZS0tLLk1B4tqdQkJCTASFq2dNAH/s5+cStrjNFXM0GIaBj48P7/3g2recuXuu0+kwMzNjNkl9Lz0TUqmUFw/GLVyWPtfy8jJ6enowNDSEiYkJzM/PY3V1ddvCVyAQwM3NjW9t4oREQEDArlSvPnToO0oQBEEQDsBFt/b39/PCwl77jkKhQFRUFCIjIxEZGQlfX1+X3DlfW1vD0NAQXzEZHx+3u/DiJlXrdDq+9Wk3BQXXXiIQCLC6uor5+fldERSBgYEICgri43oDAwNdPgUb+GMrDicouAGDrkhLMm7b4jwg/v7+Dn8OznNgPEV9cnISMzMzbzwqmEMul5tE93Lb1qhbTnC2tbVhcHAQk5OTmJ+fx9ra2rbFhFgshoeHB3x8fBAUFMS3Hn4IZuu3CRIZBEEQBGGFlZUV9PX18Zu9BbJSqURUVBQvLFwRI8tdB+ft4BZi9pBIJHyev8Fg2LVJ1cAfB7FJpVJotVrMzc1hZWXFpZGxDMPwbSzcvIDdFhRcbO/4+DimpqZ23DrGMAx8fX15/wcnkByZMcHBVU+2tmPt1cA6mUxm1rrl7+9vcTjc6uoqOjs7MTAwgPHxcX7Q3na+r1wErKenJ/z9/REaGoqoqCj4+/t/8IbrtwUSGQRBEATxGp1Oh6GhIfT29qKvrw8TExM293d3d0d0dDSioqIQHR3tMlGxurqKgYEB9Pf3Y3BwENPT03bfw/kaNBoNWJbdVbOut7c3n7a0vLzML3pdfQ5u7kdoaCiCgoIgkUhceg5gc9E+NTXFT093laAQi8W8iOC2gIAAp0TRxsYGLyK4Csr09PSezJqQSCRWI3y3/s5rtVoMDAygt7cXo6OjmJ2dxcrKyraum2EYPr0pMDAQERERiIyMdFkgArF7kMggCIIgPmjm5ubQ09OD3t5e9Pf322whkkqlvKCIjo6Gv7+/SxY66+vrGBwc5NuwHKlUeHh4QKfT8ck5u3UnWywWIyAgADKZjK9SzM/POxx36whubm58TC+37UZrC8uymJub4yN7x8bGMDExseNFu5ubG4KDgxEUFMQ/+vr6OuW3WV1d5cUEt7kyytZRBAKBSYQvt1kylrMsi/n5efT09GBwcBBTU1NYXFzcVhseJya8vLwQHByMiIgIREVFOVXlId4uSGQQBEEQHxTcXdbu7m709PTYXCwLBAKEhYUhJiYGMTExCA0NdYlRW6fTYXh4mBc24+PjNnvnuRQmrVaL9fV1vo99N1AoFPDz84NYLMba2homJycxOjrqsuMLBAI+ppeb/eHj47MrC8mVlRWMjo7ykb2jo6M7TlCSyWR8yxa3OXtXfWVlxaQVa3x83OXzPhzBw8PDzAtibb6DRqPhq3wjIyN8q5Ozng+GYSCTyeDl5YWgoCBERkYiOjqaxMR7CIkMgiAI4r1nYWEB3d3d6O7uRn9/v83ZBD4+PoiNjUVsbCyioqJcEinLJVFx3o6hoSGb18AwDJRKJXQ6Hd+z7krDtDF+fn58TOfy8jKfmOUq5HI5wsPD+dkfISEhu+KjMB4uODo6iuHhYSwsLOzomG5ubggJCeG34OBgp6Jigc0KxdjYGC8qxsbGdu1naQ2BQAB/f38TL0hgYKBF3wTLslhaWuL/rkxMTGBpaWlb1QnOMxEQEIDIyEjExsZSm9MHBIkMgiAI4r3DYDBgdHQUXV1dUKlUNj0NYrEY0dHRiI2NRVxcHHx8fFxyDWq1Gr29vby/Y3V11eb+Xl5e/DRrvV6/K3e2GYZBUFAQvL29AQCLi4sYHx/HzMyMy87h7+/Pz/3gBpbtxqJSrVZjZGSEj+x1dLigNcRisYmgCA0NdXpBvLGxwQsJrh1rp0LHWdzc3HgxwXlBrJmhuSn0KpWK9/4sLy877UcRCoV8BSwiIgIxMTEICgoiA/YHDokMgiAI4r1Ao9Ggr68PXV1d6O7utpls5Ovri/j4eMTHxyMiIsIlGfmcaZzzd0xNTdncX6lUQigUYmVlBRqNZlcWowKBAMHBwbyoWFhY4O+ouwKRSITQ0FCEh4cjIiICYWFhkMlkLjm2MdxwweHhYX7byfeLi77l/B8hISHw9/d3qhWOM4wbt2I5YtB3JQqFghcSXOuWtUqLXq/H2NgYVCoVhoaGMDs7i9XVVafbndzc3ODj44Pg4GDExMQgKiqKomEJi5DIIAiCIN5ZVlZW0NXVha6uLvT19VltQRIKhYiKiuKFhauqFVwbVk9Pj13TuEwmg0KhwMrKClZXV3elZYZhGISEhMDPz4+/vtHRUZd5KqRSKT9IMDIyEsHBwbsyxEyj0WB0dBRDQ0P81PKdpGUplUoTY7mzLVssy2JxcZFvxeJSqGy1vLkaT09PfsAgJyg8PDws7qvX6zEyMoKuri4MDw9jdnbW6WAAgUAADw8PBAQEIDw8HPHx8QgMDKTp14TDkMggCIIg3ikWFhbQ2dmJzs5ODA0NWb0T6+7ujoSEBCQmJiI6Otol8ad6vR5DQ0O8v8NWmxE310Gr1UKtVmNtbW1XEqC41hiRSITFxUUMDQ25TFRwE8q5LSAgYFcWmSsrK/xwweHhYbtGeFsIhUKEhITwHpCwsDAoFAqnjqHRaDA2NsaLipGRkV0z2luCS1gyNphbqxZwgoJreZqdnXXa3C4Wi+Hp6YmgoCBER0cjLi4OSqXSFR+F+IAhkUEQBEG89czMzKC9vR2dnZ02W30CAgJ4YREaGuqyQXg9PT1QqVTo6emxeUfdy8sLMpkMS0tLWFlZsdsytR18fHwQHh4OqVTKL86bmppccmy5XM4PEuQGm+2Gn2JxcZEfLDg0NLQjT4hSqTQxljvrBWBZFgsLC7y/Y3h4GJOTk29sUrZCoTDxgoSEhFgVFAaDAZOTk+js7OQ9FPa8PluRSqX8DJK4uDjExMS4JNyAILZCIoMgCIJ4K5menkZ7ezva29ttLtYjIiKQlJSExMREl7RBsSyL6elp3jQ+MjJidV+hUIigoCBoNBrMz89jYWHB5d4KmUyG6OhoKJVKvo3IVaJCJpPxE8qjo6Ph5+fnclHBLeIHBgZ4YbHd7xHnpeA8IOHh4fD09HTqGJw3gTOMDw8Pv7EqBZdWxbVshYaGWq2ycN+3zs5OfjDkysqKU+JHKpXyojQhIQERERG7kuxFEJYgkUEQBEG8NUxPT6OtrQ3t7e1WTbQCgQAxMTG8sLDWl+4MBoMBQ0ND6OrqQmdnp81FsKenJ7y8vLCwsIClpSWXzpAANj8fF/XKMAympqbQ3d29rQjRrUgkEhNRERgYuCuiYn5+nhcVAwMD2/afiMVihIWF8T6Q0NBQp++6r62t8RWKoaEhjI2NvREvBWe6Nx4waGseyMbGBrq7u9HV1YXR0VEsLi46lfJEgoJ42yCRQRAEQewp8/PzaG1tRVtbm9VJ1yKRCHFxcUhJSUF8fDzc3Nx2fF6tVove3l7eOG7NL8HFvopEIszMzGBxcdHl8bI+Pj78QDK1Wo3+/n4MDg7u+LicYImOjnbpMMGtLC0t8dPK+/v7t/39kclkJsby7cSgcr4Uzt+xGy1rlvDy8jIZMMj9zljCYDBgfHwcbW1tGBwcxMzMjFPGdrFYDG9vb4SFhSExMRFRUVEu8RwRhCshkUEQBEG8cdRqNdra2tDa2mq1EiASiRAfH4+UlBQkJCS4ZBG1vr4OlUqFjo4O9PT0WL2jzd1B39jYwPT0tMsiXzlEIhGio6MREhIClmUxOjqKxsbGHc154AgICOAnlEdGRu7K4nN1dRX9/f38Njc3t63jeHh4mBjLnfWAsCyL2dlZ3tsxNDT0RuZScDM1wsLC+M1WRY1LQVOpVBgfH4darXa47UkoFPLJUgkJCYiLi9uVmGCCcDUkMgiCIIg3wvr6Ojo6OtDS0mJ1orRIJEJCQgJfsXDFAplb4HV0dKCvr89qC4qHhweCgoKwtLSEmZkZl069Bv44SdzT0xNLS0vo6+tDd3f3jo8rl8v5CeUxMTFOJyk5glarxeDgIPr6+vgp0NtBoVDw7VqRkZE224cswfllOG/HwMCAzXkorsLLy8vEXG4rypWb7t7a2or+/n7MzMw41erm4eGBwMBAxMXFITk52WnPCUG8LZDIIAiCIHYNvV6Pnp4etLS0oKury2LlQCAQIC4uDqmpqUhMTHRJ0s3Kygo6OjrQ3t6OgYEBq3eNfX194efnh9nZWczOzqKnp2fH5+YQCASIiIhAdHQ0hEIhJiYm0NLS4nS8qKXjhoeHIy4uDrGxsQgKCnK5r4Jr5+nr60NfXx+Gh4e3VWXx8PDgRUVUVNS2RQXXPjY4OOh0mpKzcF4KbmJ5eHi4TeGm0WjQ09ODjo4OjIyMYHFx0eEqhUQigZ+fHyIjI5GcnLxr7WwEsReQyCAIgiBcCsuyGBsbQ2NjI9ra2qx6HaKjo5GWlobk5GSXtH+srKygs7MTbW1tNoVFUFAQvLy8MDk5yYsLWzAM4/CiUSaTIT4+HiEhIfwE8mfPnu04DlWhUCAuLg7x8fGIjo52iSdlK4uLi+jt7eWFxXZmenBpVdHR0YiOjoavr6/TomJmZgYDAwP8ttuiQiKR8GlVnLnclmFarVajvb2db31y9PvEMAyUSiVCQkKQmJiIhIQEansitg03IHJychJTU1OYn5/f60syg0QGQRAE4RLUajWam5vR2Nhode5BUFAQ0tPTkZaW5pJhX2tra+jo6EBbWxv6+/utLuZDQ0Ph6emJiYkJfrOFsbCwJxC8vb2RmJgIPz8/LCwsQKVSobm5eXsfyOj8ERERiI+PR1xcHAICAlxereBaoHp6etDb27utWRVisRiRkZG8qNhOVWV+fp73dgwMDOx6nKyHh4eJudzWgEFO9LS2tqKnpwfT09MOtz6JxWL4+/sjOjoaqampu1JxIj4MNjY2MDU1hYmJCV5UTE1NYWNjg99npxXS3YBEBkEQBLFtdDodurq60NjYiN7eXosLcqVSifT0dGRkZCAgIGDH59Rqtejq6uIXftbaeLgZCmNjYxgdHbUbNSsQCHi/hj1hwZlwFQoFJiYm0N7evu2YVg65XM5XK2JjY11+l5szSXOiYmBgwOkoV4ZhEBoayhvLw8LCnE5/WllZQX9/P+/v2G2jtpeXF28sj4iIsNmyxVXhWlpa0NfXh7m5OYfbxDw8PBAcHIyEhAQkJyfD3d3dlR+D+ADg4p8nJycxMTHBC4s3EWawG5DIIAiCIJxmcnIS9fX1aG5utngHTSwWIzU1FZmZmYiMjNzxHVy9Xo/e3l60trais7PT6t3ksLAw+Pr68sPWhoeHbR7XWFjYmknAMAyioqKQkJAANzc3DA4Oorq6elstRcYYTygPCQlxeT++VqvFwMAAuru70d3dva3Fio+PD2JiYhAbG4uoqCinW7WMTeN9fX1WY4pdhY+PDz+xPCoqymbFzGAwYGRkBM3NzbzgcWQ2hUAggJeXFyIiIpCamoqoqCircbUEYQmtVovJyUleUHBfOxNlLJPJEBAQgMDAQHz33XcuT8HbKfQ3giAIgnCIjY0NtLa2oqGhwWpVICoqCpmZmUhJSdlxMhR3V7mpqQltbW1We/ODgoIQEhKC8fFxjI6O2pzQDTguLIRCIWJjY5GQkAChUIi+vj48ffrUqUWApXNHRkbyPfne3t7bPpY1uJatnp4e9Pf3O12tkEgkvKiIjY11+hpdZRp3FF9fXxNRYcukbTAYMDw8bCIqHPHLiEQi+Pn5ISYmhq/IUesT4SgrKysmrZoTExOYnZ112KslEAjg5+eHwMBABAQEICgoCAEBAVAoFPzv4b/5N/9mNz/CtiCRQRAEQViFm+FQV1eHtrY2ixUELy8vZGZmIjMz0yWL5vn5eTQ3N6OlpcWqKZtL5JmZmcHw8LBdj4VQKOQXuraEBTebIyEhAQzDoLu7Gw8ePNjRtG2JRIL4+HgkJia6bJCgMdzdeJVKBZVKZXVSui2Cg4MRFxeHuLg4hIaGOt0CtbS0hN7eXt44vtMKjy28vLx4c7m9SgXLshgZGUFTUxP6+/sxPz/v0MJOIpHwMbLp6em7IgaJ9w/OjD0+Po7x8XFeUKjVaoePIZfLERQUhMDAQH7z8/N7Jytl794VEwRBELuORqNBc3Mz6urqLC7ghUIhkpOTkZ2djejo6B3f1d3Y2EBbWxuampowNDRkcR+FQoH4+Hisrq6it7cXdXV1No9pLCxs3UnnZnNwwqKrqwt37951ugJgjLu7OxITE5GUlITo6GiXLxDW19fR29sLlUqF7u5upxf1MpkMsbGxvLBw1j+g0+kwODjIC4vdnKrt4eGBmJgYXlh4eXlZ3ZdlWUxOTvIeobm5OYfan6RSKYKCgpCUlIS0tDSbg/UIAvijx8lYUIyPjztlwOaqE5yoCAoKgoeHx3tTJSORQRAEQfBMTk6itrYWzc3NFtuC/P39kZOTg4yMDMjl8h2di2VZDAwMoLGxEe3t7RYX9RKJBImJiRCJRFCpVKivr7d5TEeFhVAo5A26AoEAXV1d+Omnn3bUCuXl5YXk5ORdm3ewuLiIrq4udHV1YWBgwKHFszHBwcGIj4/nI3advb75+Xl0d3ejt7cX/f39O6ru2MLNzc0kBtfPz8/momtubg5NTU18FceR1iw3NzcEBwcjOTkZKSkpZNImbGIwGDAzM4Px8XGMjY3xFQpH/70QiUS8iOC2gIAAlwwbfZshkUEQBPGBo9fr0d7ejpqaGotGaZFIhLS0NOTm5iI0NHTHd9nm5+fR2NiIpqYmLC4umr3OMAxiY2Ph5+eH3t5etLS02DyescfC1gJTIBAgNjYWKSkpcHNz4ysWxjGQzuLr68svVF0dUcrdle/s7ORnMjgD561ISEhAXFyc05PAuWpFd3c3enp67M4T2S7c0EIusSo4ONimAFpdXUVLSwva2towMTHhkNiRSqUIDg7mKxUkKghrcIJibGzMRFQ4Wtl0c3NDUFAQgoOD+UdfX98PcsgiiQyCIIgPFLVajdraWtTV1WFlZcXsdT8/P+Tm5iIzM3PHcao6nQ6dnZ2or69Hf3+/xX0CAgIQFxeHqakp9PX12Zy+zS3mWZa1e0efG/rn6emJ7u5uPH78eEezGAICApCSkoLk5GT4+/u7VFhwxuTOzk50dnY6nQbl5eXFm8ojIiKcbtNaWlrik6j6+vp2rVoREBDAi4rIyEibd3R1Oh26u7vR2NiIkZERh4bzicVivv0pIyOD2p8Ii3AtT2NjY/zmqHAFNtsiQ0JCeDERHBwMT0/P96bdaaeQyCAIgviAYFkWw8PDqKmpQXt7u9kCXSAQIDk5GXl5eS6Jnp2cnERDQwOam5st+gZkMhlSUlLAMAza2tpQUVFh83gikQg6nc6ueTcoKAgZGRkICQlBX18fysvLMTc3t+3P4efnh9TUVKSmpsLf33/bx7GEXq9Hf38/Ojo60NXVZVHw2SIsLIwXFs6KHs7Yz5nGdytelvOAcJutqgpXwamvr0dPT49DCVBCoRD+/v5ISEhAVlYWGbUJMzhT9ujoqImocLTlSaFQICQkhBcTwcHBTlcHdxNn2yffBCQyCIIgPgD0ej1aW1tRXV1tse1GoVAgLy8POTk5O77rq9Vq0drairq6OotRt1w7VFhYGFQqlV0DNycsANhsWfDy8kJ6ejri4+MxMTGBpqYmPHz4cNufw9fXlxcWrhgiaIxWq0Vvby8vLJxp2RKJRIiNjeWFhbOtPxqNBn19fejq6kJ3d7fTosYRGIZBeHg4LyocaYHiooonJyfttqYwDANvb2/ExcUhJyeHImUJM1ZWVvhBnNyjI1UwwFRQcI9vSzWMZVmo1WqT9Krx8fFdnz+zHUhkEARBvMesrq6irq4Or169stgiFBERgYKCAiQlJTkdW7qVqakp1NXVoampyeKi2cvLC6mpqVhZWUFbW5vNdihuQWowGGwuOKVSKVJTU5GWloa1tTW0tLSgvLx823f1PD09kZqaivT0dAQGBrp04arVatHd3Y2Ojg6oVCqnh24lJCQgKSkJMTExThtG1Wo1bxrv7+/flbkVCoWCT6uKiYmxGdVrMBgwODiIuro6DAwMOCR0PDw8EBkZiaysLMTExHyQPe6EZbRaLT8nh9scbTWUy+UIDQ1FSEgILyjelgoFy7JYWFjgE6y4zVGxtNeQyCAIgngPmZmZQVVVFZqamswW6SKRCOnp6SgoKEBQUNCOzqPT6dDe3o66ujqL0bMCgQBJSUkIDAxEW1sbysvLbR5PIpFAo9HYnb4dFxeHjIwMKJVKtLS04Pvvv3cqOtIYuVzOC5Xw8HCXCwuVSoX29nZ0d3c75XFQKpVISkpCcnIyIiIinFpUsyyL6elpdHZ2oqurC2NjY9u5fJswDIOIiAjEx8cjLi7ObjVheXkZ9fX1aGtrw8zMjF0hKBaLERISgvT0dKSlpUEqlbr6IxDvIJyPYmRkBCMjIxgdHcXk5KRD80+kUikvJjhhoVQq34oqGMuymJub4w3n3OZolfNt+AxbIZFBEATxnsCyLIaGhlBRUQGVSmX2uoeHBwoKCpCbm7vj+NmFhQXU1taioaHB4l01Hx8fpKenQ61Wo6WlBe3t7VaPZdwOZevuvr+/P7KzsxETE4O+vj68fPly2/MZxGIxkpOTkZ6e7vK74pxRua2tDSqVyilh4ePjw8fghoSEOLVw4Ibycabx+fl5p6+dYRibizW5XM7H4MbGxtqsVnARxbW1tRgYGLB795VhGPj4+CApKQnZ2dnw9fV1+vqJ94+1tTUTQTE6OurQDQWhUIigoCCEhobygsLX1/etWIwbCwpOVExMTDgsKCQSCR+Fy6VY/fDDD7tyM2EnkMggCIJ4xzEYDOjq6kJFRQVGRkbMXg8KCkJRURFSU1N31BLFsiz6+/tRU1ODrq4us8WoQCBAYmIiwsLC0NLSgufPn1s9FsMwEIvF0Gg0dtuh0tLSkJmZieXlZTQ1NeHRo0fbaofivCAZGRlITEx0aUa9Xq9Hb28vWltb0dXV5VQrVEBAAB+D66xxmzONc8JiO/4KY2FhSWBw8zUSEhLsCp+1tTU0NjaipaUFk5OTdn9OMpkMERERyM7ORlxc3I5b9oh3G4PBgOnpaQwPD/PCwtHoZD8/P15QhIaGIjAw8K34feJanozN5s5UKGQyGS8kuCQrHx+ft0Is2YNEBkEQxDuKTqdDU1MTKisrLf5HnJiYiMLCwh2nRG1sbKCpqQk1NTWYmZkxe93T0xOZmZnQ6XSoq6tDR0eH1WOJxWI+HcrWQjw6OhrZ2dkICAhAS0sLrl69um2DcnBwMDIzM5GamupS86bBYMDQ0BBfqXGmXSswMBApKSlISUmBn5+fU+fVarXo6enhW6F2MucDMBcWIpEI0dHR/BR0pVJp871TU1N49eoVuru7oVarbZ6LYRheVOXk5Lw1ve/E3sBVKThRMTo66pBAl8vlCAsLQ2hoKMLCwhASEmKzqvYmWVpaMjGcj42NOfxvg1wuN0uwepcjcUlkEARBvGNsbGygtrYWlZWVZgtvoVCIzMxMFBUVOb143cr8/DxevXqFhoYGiwtZbtCbSqXCy5cvrbbZMAwDiUSCjY0Nm61DHh4eyMrKQkZGBsbHx1FfX4+BgYFtXbuHhwcyMjKQmZnp0mQolmUxPj7OD4Ozt6g2hhMWqampTrcCaTQaE9O4s/Mr7LVBubu7IyEhAYmJiYiJiYFYLLa6r16v51PBhoaG7F6LTCZDZGQkcnNzybD9AcN5KYaHh/nN0k2LrQgEAgQFBSEsLIzfvLy83oqF99ramlmClaMzeIwFBff4tvhDXAWJDIIgiHeEtbU1VFdXo7q62uzOmFQqRV5eHvbt27eju8Msy2JwcBDV1dUWW6IkEgkyMjLg4+OD6upq3L9/3+qxxGIx9Ho9DAaDzbvt8fHxyMnJgZeXFxoaGvCP//iP2zJxC4VCJCUlITMzE7GxsS5dzM7Pz6O5uRktLS1OTb728/NDWloaUlNTnRZ9GxsbUKlU6OjoQHd3t8MThznstUH5+fkhMTGRb3FzpA2qubnZrsmWYRh+EnpeXp7NSgjx/qLT6TA2NoahoSFeVFialbMVhUJhIiiCg4Ntit43hVarxcTEhImgcHT2jkwmMxEUb5PhfDchkUEQBPGWs7y8jMrKStTW1pq1EigUChQWFiI3N3dH6Ts6nQ5tbW2oqqrCxMSE2eu+vr7Izs6GWq1GXV2dzQWvm5sb1tfXbd7hVigUyMnJQXp6OkZHR1FZWWkxncoRgoODkZ2djbS0tB1PJjdmbW0NbW1taG5uxvDwsMPv8/b25tOqnJ3foNFooFKp0NbWhu7ubqejZgUCAe+DsCQEwsPDkZiYiKSkJLvVlPn5eVRXV6OzsxOLi4s29xWLxQgLC0N2djaSk5OdnjROvPusrq5ieHgYg4ODGB4exvj4uN3fX4ZhEBwcjLCwMISHhyM8PPytWHwbJ1hxZnNHPEbAH1PRjFOs3pbKy5uG/hUgCIJ4S1laWkJ5eTnq6+vNFvXe3t7Yv38/MjMzd2RuXF9fR21tLaqrqy2W+WNjY5GSkoK2tjY8evTI6nFEIhEEAgE0Go3NKkRsbCzy8vLg6+uLhoYG/MM//INDdze3IpPJkJ6ejuzs7B3H8BrDtQI1NzdDpVI5bDD38PDg52s4mwrFzc/g0qicrVgYCwtLE9yjo6ORlJSEpKQkm54UlmUxNjaG6upq9PT02P25eHh4ID4+HgUFBS6fKUK83XBm5qGhIX5zpPVJJpPxYiI8PBwhISFvRZVidXUVo6OjvNncUR8F18rFiYnQ0FD4+vpSS+BrSGQQBEG8ZSwtLaGsrAz19fVmdwL9/f1x4MABpKam7ug/soWFBVRVVaGhocGsOiISiZCRkYGQkBBUVlbizp07Vo/DVS1sLYxlMhmysrKQk5ODmZkZ1NTUoK+vb1vXHRMTg5ycHCQmJrrsbjnns2hsbERra6vDokcqlfIxuFFRUU79PPR6PXp6evg0qp14LLYKC5FIhPj4eCQlJSEhIcFuzGxvby+qq6sxODho8zq4Nqi0tDTk5ua+NROQid2Hm7syODiIoaEhDA4OOuRH8vX15QVFRETEWxEhq9frMTU1xQuKkZERh9uefH19zRKsqGpnHfrOEARBvCXYEhchISE4cOAAEhMTd/Sf9Pj4OCoqKtDW1mbWTuPh4YG8vDyIRCK+gmIJhmHg5uaGtbU1m3f7QkNDkZ+fj6ioKLS0tODrr7+223ZjCQ8PD2RnZyM7Oxve3t5Ov98aarUazc3NaGpqwvT0tEPvEQgESEhIQHp6OhISEpxaYBgMBgwMDKC1tRUdHR1O+05stUJJJBIkJCQgOTkZcXFxNuN59Xo9Ojs78erVK4yOjtpsaREKhQgNDUVOTg5SU1NpQfWBYDAYMDExgYGBAb5SYU98CwQChISE8IIiPDwc7u7ub+iKrbOysmISiTs6OupQtZCbBG6cYOXKdswPgXfyXwuGYcIA/AWAUwB8AYwDuAXgz1mWdXj6EMMw+wH8XwFkAggCMAWgFcB/YlnWupuRIAjChajVapSVlaGurs5swRcaGorDhw8jNjZ22+KCG4pWVlZmsYLg7++P/Px8TE9P4+XLl1YXncYtUdYWHAKBAGlpaSgoKAAA1NTU4M6dO057CwAgLi4Oubm5iI+Pd1nePdcO1dDQgJ6eHoemBANAWFgYMjIykJqa6tQgQ64FiUujcjR5hsNWK5RUKkViYiJSUlIQGxtrUwDodDo0Nzejrq4OExMTNtvAJBIJoqKisG/fPkRHR+/5nWdi99Hr9RgbGzMRFfaiZCUSCS8oIiIiEBoauuetTwaDAVNTU7zRfGRkxKGhlAKBgPeGcKLiQ/VRuJJ3TmQwDBMLoAJAAIDbADoBFAD4lwBOMQxTwrKs3egPhmH+KYC/ArAC4CaAEQBhAD4GcJphmH/Dsuy/251PQRAEsdkHXFZWhpqaGrM7a64SF11dXSgrK8Po6KjZ69HR0cjIyEBXVxfu3btndcEtlUqh1Wpt3v1TKBTIzc1FVlYWhoaGcO/ePYvntIe7uztycnL4tClXMTU1hYaGBjQ3N9udPM3h7e2NjIwMPk3LGebm5vg0KkdbMTgcERapqamIiYmxKSy0Wi2amppQV1dnNxGKm+RdVFSEwMBAp66XePfgkp8GBgYwMDCA4eFhu3f35XI5IiMjERERgcjISAQGBu6592B9fZ2fszE8POzwnA1PT0+TBKugoCCq0u0C7+J39K+wKTD+Bcuy/5l7kmGY/x3AvwLw7wD8t7YOwDCMGMD/CmAdQC7Lsl1Gr/0vABoA/BnDMP+eZdmdTTkiCILYwsbGBiorK1FZWWn2H2JoaCgOHTqEuLi4bYsLvV6P1tZWlJeXm7UBMQyD1NRUJCUlobq6Grdv37Z6HHd3d6ysrNiMnw0NDUVhYSEiIiLQ2NiIf/iHf3BqdgRHZGQk8vPzkZSU5LKqxcbGBlpbW9HQ0OCw4JFIJEhNTUVWVhbCw8Od+hmsrKygra0NLS0tFiev20IoFPLVnq3CQiKR8MLCXsVCo9GgsbERdXV1mJ6etiksFAoFkpOTUVhY6NI2NOLtQ6fTYXR0FAMDA3z6kz1RoVQqERkZyW977acwNptzomJqasru+4RCIUJCQnhBER4eTkMg3xDvlMh4XcU4AWAAwP+x5eX/GcB/A+BXDMP8jyzL2hoN6wPAE0CzscAAAJZlOxiGUQFIB+ABgEQGQRAuQavVoqamBmVlZWbtRsHBwThy5MiOxAU3AbysrAwLCwsmrwmFQmRlZSEyMhLPnz9Ha2urxWMwDAO5XI6VlRWrE7YZhuEXpxKJBFVVVbh165bTLVFSqRQZGRnIy8tz2cA8lmUxOjqK+vp6tLa2Omyojo6ORlZWFpKSkmz6Gbai0+mgUqnQ1NSEnp4eh9OoANOKxdbvnUgk4oVFXFyczTYUrVaLxsZG1NbW2hUWXl5eSEtLw759+8i4/R6j1+sxPj6O/v5+vgXKnqjw9vY2ERV73S7E+UI4UTE0NORQu6FCoeDN5lSl2Fvete/6kdePD1mWNfmXnGVZNcMw5dgUIYUAHts4zhSAaQAJDMPEsyzbzb3AMEwCgHgAjY60XREEQdjDYDCgoaEBz58/N7vL7+/vjyNHjiApKWlH4qK+vh7l5eVYWloyeU0ikSA3NxeBgYF4/Pgx6urqLB5DKBRCIpFgbW3NqriQSqXIyclBfn4+Zmdn8ezZs22lRPn7+6OgoAAZGRlOLehtsb6+jubmZtTX12NyctKh93h5eSErKwuZmZlOtWaxLIuRkRE0NTWhra3NKQO3rVQogUCAuLg4pKWlITEx0eb3hvNY1NTU2G2F8vHxQUZGBvLz853ykxDvDizLYmJiAv39/ejv73fIU+Hj44PIyEhERUUhKipqz4cmajQajI6O8p6QkZERu5+BYRgEBQWZxOK+DXM2iE3eNZGR+PpRZeX1bmyKjATYEBksy7IMw/xzAF8DqGMY5iaAMQChAC4BaAPwuasumiCIDxPOE/H48WOzDHkvLy8cPnwY6enp2+5r1mq1qKurQ3l5udkdPplMxk//fvz4sVUfglgshlAoxPr6ulUzt6enJwoLC5Geng6VSoXvvvvOoTYFYxiGQUJCAvbt24eoqCiXLAK4qkVdXR1aW1sdSowRCoVITk5Gdna206bmxcVFNDU1oampySmfBXcOlmUtioHo6GikpaUhOTnZZnqNwWBAe3s7KisrMT4+bldYZGVlIS8vjxJx3kO4YXGcqBgYGLCb/uTt7c0LirdBVKytrfFxuENDQxgfH7dbCeTM5saVClfdqCBcz7smMjxfP1rLQOSe97J3IJZlrzEMMwbgWwBfGr00CeA3ABy6PccwjOXbgkCSI+8nCOL9ZHh4GD///LPZpGgPDw8cPHgQOTk52/YecG1XFRUVZlUHd3d3FBUVQSQS4enTp1b9FG5ubtDr9dBqtVZbioKCglBcXIzo6Gg0NDTgb/7mb5xOR3Jzc+OrH64ycms0GrS0tKC2ttbidHJLBAUFITs7G+np6U4turVaLTo7O9HY2Oh01YbzWVgSA0FBQUhPT0daWprNxR7Lsujp6UFFRQWGhoZsLsJ8fHyQmZmJ/Px8EhbvIUtLS+jv70dfXx/6+/vtep88PT0RHR3NiwpPT0+b++82arUag4OD/OZIbLRSqeTjcCMiIhAQELDnZnPCcd41keEyGIb5AsB/AXADwP8bwCCASAD/E4C/BHAIwC/27AIJgngnmZ2dxePHj9HR0WHyvFQqRUlJCQoLC7cd86jT6VBXV4eysjKzxb6HhweKi4vBsiyePXtmVTjIZDK7U7nj4uJQVFQEHx8fVFVV4c6dO04Pi/P19UVhYSEyMzNdFms5OTmJ2tpaNDc3O5QgI5FIkJ6ejpycHISEhDh8Hi52tqGhAa2trTaN71sxNnBv9Vl4eXkhPT0d6enp8Pf3t3n+0dFRvHz5En19fTYrNF5eXsjMzERBQQG1Qr1nrK+vY2BggBcV9iZqe3h48KIiOjp6Tz0VnEnbWFQ4EiUbEBDAC4rIyMg9F0bEznjXRAZXqbD2W8c9v2DrIK99F/8IoBnAr4z8HZ0Mw/wKm21ZnzIMc5hl2We2jsWybK6Vc9QByLH1XoIg3h9WV1fx/Plz1NbWmtxtFggEyM/Px8GDB7e9CNTpdGhoaMDLly/N7l4qlUqUlJRAr9fj6dOnVsWAXC7H2tqa1ZYKhmGQlpaGkpISMAyDiooKtLS0OGVkBjYnchcWFu7IwG4MNziupqYGg4ODDr0nJCQEubm5SEtLc6qVYnV1Fc3NzWhoaHCqHcyWgdvNzQ0pKSnIzMy0m1Y1NzeHFy9eoLOz06awUSqVSE9PR1FR0Vsx7IxwDXq9HqOjo+jt7UVfXx9GR0dttsS5ubnxgiI6Ohp+fn57Kirm5+f59KqBgQEzf9hWuNkUnKCIiIigCtx7xrsmMrgkqAQrr8e/frTm2eA4AUAM4LkFA7mBYZgXAHJfb8+2d6kEQXwI6PV61NTU4Pnz52bVgbS0NBw9enTb8aAGgwGNjY148eKF2aRshUKB/fv3Q6/X49GjR1bFhYeHB5aXl616MrjUqeLiYiwvL+PJkydQqez9E2p+jPT0dBQWFrpsxoJarUZ9fT3q6uocisTlqha5ubkIDg52+Dwsy6K/vx8NDQ3o6OhwOCGLYRgIBALo9XqLBu74+HhkZGTYnQq+urqKiooKNDc32/yccrkcKSkpKCkpcen8EGLv4HwVfX196O3txcDAgM0KnVAoREREBGJiYhAdHY3g4OA9ax1iWRZzc3MmosLe31ORSISwsDA+vSo0NJT8FO8575rIePr68QTDMAJjgcAwjAJACYBVAFV2jiN9/WitXs09b78eTxDEBwnLslCpVPj5558xO2saRBcZGYnjx48jNDR028dub2/HkydPzAzG7u7u2L9/PwDYFBcKhQJqtdqqh0IikSAvLw/79u3D1NQUbt++jaGhIaeuUyaTIS8vDwUFBS6JQ+VSm169eoX29naHqiiBgYHIy8tDeno6pFKp3f051Go1Ghoa0NDQYBb3awtjn8VWQRIcHIzMzEykpaXZrDDo9Xo0NjaiurraZl+6VCpFfHw8Dh48aLO9inh3WFtbQ39/P3p7e9Hb22t282ArwcHBiImJQUxMDMLDw/dsorZxpYLb7IkKzqTNiYqQkBCKkv3AeKd+2izL9jIM8xCblYh/DuA/G7385wDcAfyt8YwMhmGSXr+302jfl68fP3k9cK/ZaP8sAJ8AYAE82Y3PQRDEu83k5CQePnxoZgT29vbGiRMnkJiYuK22BZZl0dvbi8ePH5sZmuVyOYqLiyGVSvHo0SOr7TScuLC2AHBzc0NhYSHy8/MxNDSEq1evYmxszKnr9PLyQlFREbKyslxyJ5IbHlhdXY3x8XG7+wuFQqSmpiIvLw9hYWEOf6+5729dXR26urpstqIYIxAI+GSorcLC3d0dGRkZyMzMtFnFYVkWAwMDePHihU0Dt1AoRFRUFA4ePOj0MEDi7cNgMPAtUL29vXZboDw9PRETE4PY2FhER0fvqc9mcXGRT67q7++32/4klUr51qeoqKg9rbQQbwfvlMh4zT8DUAHgPzEMcwxAB4B92JyhoQLwZ1v259yX/L/ULMu+YhjmNwD+CYCa1xG2gwCiAFwEIAHwH1iWbdu9j0EQxLvG2toanj17hpqaGpOFglQqxcGDB1FQULDtO3XDw8N4/Pixme9AKpWiuLgYXl5euH//vlVPhVKpxNLSklVxIZfLUVhYiLy8PPT09OB3v/ud0zG0ISEhKC4uRnJysksWD8vLy6irq0Ntba1DqVWenp7Iy8tDdna2U14EtVqNxsZG1NfXb6tqYakdKjExEZmZmYiLi7OZErawsIDnz5+jo6PDqjBkGAbBwcEu/d4Se4darUZPTw8vLGyFLEgkEkRHR/PCwsfHZ8+E5fLyMi8o+vv77Rq1pVIpX6WIiopCUFAQ/e4SJrxzIuN1NSMPwF8AOAXgDIBxAP8RwJ+zLGs/vmCT/xrACwD/FYCTABQAlgCUAfgvLMt+5+JLJwjiHYVlWTQ0NJjNm2AYBrm5uTh8+PC2DbgzMzN49OgRurq6TJ4XiUTYt28fgoODcf/+fauLcE5cWLvL6O7ujuLiYuTk5KCzsxN///d/79SMB2DTzL1//36XzbeYmJhAVVUVWltbHfJAxMTEID8/HwkJCQ4vYrjKQU1NDbq6uhw2sNtKh/L390d2djYyMjJs/ry1Wi1qa2vx6tUrm6LG29sbeXl5yM/P37M2GGLn6PV6DA8Po6enBz09PXaHQYaGhiImJgZxcXEIDQ3ddpT1TuHSqzhRYS9SViKR8KIiOjqaRAVhl3dOZAAAy7LD2KxCOLKvxf8R2c3bkL99vREEQVhkdHQUP/30k1lLUXR0NE6dOoWAgIBtHXd5eRnPnj1DfX29SVVEIBAgOzsbiYmJuHfvHsrLyy2+nzN0WxMXHh4eKCkpQXZ2Njo6OvB3f/d3DkVIGsMZjZ2Jf7UGN++hsrIS/f39dveXSCT8zAdn/Ajr6+tobGxEbW2tmVfGFiKRCDqdzkxYSCQSpKWlITs7G6GhoVZFFsuy6Ovrw4sXLzA8PGy1JcbNzQ2pqak4ePDgng9DI7bP0tISLyr6+vpspoEpFArExsYiNjYWMTExe9YCpdPpMDw8zEfijo2N2WzdEolEJhPBQ0JCSFQQTvFOigyCIIjdZmVlBY8fP0ZDQ4PJ80qlEidPnkRycvK27uprNBpUVlaivLzczLSdlpaGnJwcPHr0CHV1lud8uru7Y21tzWplgzOGc+Lib//2b50SFwKBABkZGSgpKYGfn5/jH8wKOp0Ozc3NqKystJvzD2ze3S8oKEB2drZTRu7x8XHU1NSgpaXFocnfgGnVYut7wsPDkZOTg5SUFJu+k+XlZTx//hwtLS1WF5oCgQAxMTG8z4J49zAYDBgeHkZ3d7fdaoVAIEBkZCRiY2MRFxeHgICAPWmBYlkWExMT6OvrQ19fH4aGhmz+3RAIBAgPD+djcUNDQ8moTewI+u0hCIIwgmVZ1NfX49GjRya91EKhECUlJdi/f/+2Wlu4ONqnT5+aCYTo6Gjs378fVVVV+P3vf2/x/e7u7tjY2DCb8M0hk8lQUlKC3NxcdHZ2Oi0uRCIRcnJyUFxc7JIBWKurq3j16hVqamqsxucaExUVhcLCQsTHxzt8t1Sv16O9vR2vXr3CyMiIw9dmrWrh5uaGzMxM5OTk2KxQGQwGNDc3o6KiwmaLiZ+fHwoLC5GVlbVnLTHE9lldXUVPTw8vLGx5Kzw9PREfH4+4uDhER0fvWTTrwsICent7+cng1jxcHCEhIfycjYiICGrbI1wKiQyCIIjXTE5O4scffzRbsCYmJuLkyZPbnnfR19eHBw8emBmtAwICcPjwYXR3d+Orr76y+F43NzewLGtVXLi5uaG4uBj5+fno6enB3//93zvVJiQWi5GXl4fi4mKXxNDOz8+jsrISDQ0NdisK3HyNffv2ISgoyOFzqNVq1NXVoa6uziHDOHcua1WLyMhIvmph687tzMwMP0fEmpfEzc0NGRkZOHDggEu+n8Sbg2VZTE1NQaVSQaVS2UyC4qoVnLDYq0F4GxsbfCRuX1+fXb+Vr68vbzSPioqi4XfErkIigyCIDx6NRoNnz56hqqrKZFHh7e2N06dPIz4+3sa7rTM7O4uff/7ZzNTt4eGBw4cPY319HX/4wx8sLljFYjHEYrHVKoBYLEZRUREKCwsxODiI3/zmN06lRUkkEhQUFKCwsNAlU6PHx8dRUVGBtrY2u9GwcrmcNzw7uhDfzgwNwH7VIi8vz2ZbmF6vR11dHSorK62auBmGQUREBA4fPozIyEiKnX2H0Ol06O/vh0qlQnd3t825FQqFAvHx8YiPj0d0dLRT7XyuwmAwYGxsjBcVtvw/wGYFlBveFxMT45IqJUE4CokMgiA+aDo7O3Hv3j0TA7VAIEBJSQkOHDiwrfaB9fV1PH/+HK9evTJZDIvFYt7r8OOPP1psvxAKhZDL5VCr1RYH7QmFQuTl5WH//v2YmJjA119/7dScC6lUin379qGwsHDHdzG5adnl5eVmM0Ms4evri8LCQmRmZjr8feVaoqqqqhz+nFy7lcFgMKtahIaGIi8vD6mpqTavYWpqCo8fP0ZPT49VQaNUKpGfn499+/ZRm8k7xPLyMrq7u6FSqdDb22t1oCUAhIWFIT4+HgkJCQgMDNwTAbm4uMjH4fb19dls2+LM2lwk7l75QQgCIJFBEMQHilqtxk8//YTOzk6T56OionD27NltmZ4NBgPq6+vx9OlTswpEVlYWMjIy8OOPP1psaWAYBkqlEouLixZnXTAMg8zMTBw+fBhqtRrXr183m6lhC4lEgn379qGoqMgl4qKzsxNlZWUOLfwjIyNRVFSEhIQEhxc8q6urqKurQ01Njd3Jwhxc1WKrKBCLxUhPT0deXh6Cg4Otvp+rWlRUVFi9oy0UChEfH4+jR4/SFO53BJZlMTMzg66uLnR1ddn070ilUsTFxSEhIQFxcXF7kgSl1WoxODjIz9qwF5jATQWPjY1FeHg4mbWJtwb6TSQI4oOCM3b//PPPJmlAcrkcJ06cQEZGxrbu/A0NDeGnn34yS50JDw/H4cOHUVFRYdXU7enpicXFRasL2+TkZBw9ehQsy+L+/ftmwsgWXFtUUVHRjhdM3GTu8vJyu5n6wGYEbnFxMUJDQx0+x9TUFKqqqhxOiWIYBkKhEDqdzmx/X19f5OfnIzMzE25ublaPMTc3h8ePH6Orq8uq18LHxwfFxcXIzs6mGM93AIPBgKGhIV5Y2ApB8PHxQUJCAhISEhAREfHGTfosy2Jubo6PxB0YGLD5u28ciRsdHe2SdkeC2A1IZBAE8cEwOzuLH3/8EQMDAybPZ2dn4/jx49u6w69Wq/Ho0SM0NzebPO/p6Yljx45hamoKX3/9tcW+aQ8PD6yurloVFxERESgtLYVSqcSzZ8/Q1NRk1+/AIRaLUVBQgOLi4h2LC51Oh4aGBlRUVNidmC0UCpGZmYni4mL4+vo6dHyu7aqiogK9vb0OvUcoFIJlWbOWKIZhkJCQgPz8fMTExFgVjFxC1MuXL62aZUUiEZKSknD06NFtm/6JN4dWq0Vvby8vLKwlK3EemoSEBCQmJjr8e+pKtFot+vv70d3djd7eXpsiSCgUmkTi+vv7UwsU8U5AIoMgiPcevV6PyspKPH/+3GRB6uPjg3PnziE6Onpbx6yursbz58+h0Wj450UiEQ4cOABfX1/88MMPJq9xcHfVrSUj+fr6orS0FBERESgrK8OrV68cmowNmHo2dppupNVqUVdXh/LycrspTlKpFHl5eSgsLHT4vFxlpLKy0u6UZA6xWAytVmv2/ZDJZMjJyUFeXh68vLysvp+bf9La2mq1F9/Hxwf79+9HZmYmVS3eclZXV3lR0dvba7UCIJFI+Dao+Pj4PWmDmp2d5SNxBwYGbP6d9vX1RVxcHOLi4hAZGUmeH+KdhEQGQRDvNRMTE7h9+zYmJib45xiGQXFxMQ4dOrSt/7z7+vpw7949s17plJQU5Ofn4+7duxb7qI1N3ZbgUqfS09NRV1eH27dv2zR5GsMwDLKysnDo0KEdJ8hoNBrU1taioqLCanQuh7u7O4qKipCXl+dw2s76+jpqa2vx6tUrp/0WW4VBQEAA9u3bh/T0dJs/y/7+fjx+/Bijo6MWX+e8FsePH4ePj49D10TsDYuLi+js7ERnZycGBwetVvcUCgUSEhKQlJSEqKioN+5V0Ol0GBwchEqlQk9Pj814WbFYjJiYGMTFxSE2NpYqZ8R7AYkMgiDeS/R6PcrLy/H8+XMTI3BQUBDOnz9v0wBsDbVajYcPH6K1tdXkeT8/P5SWlqK1tRW/+93vLL6X811YWlSLRCIUFxejuLgYPT09+Ou//mu7bUnGpKWl4fDhwztu+9jY2EBNTQ0qKyvtDtDz9PTkPQqOCrWlpSVUVVWhrq7OYoVnK9ZSohiGQWJiIvbt22czMlan06GiogLV1dVWP49SqURxcTHy8vJoYN5bzMzMDDo6OtDZ2WkzbMDf3x+JiYlISkpCSEjIG28rWlpaQnd3N7q7u9HX12czucrf3x9xcXGIj4/fEy8IQew2JDIIgnjvmJqawq1btzA+Ps4/JxQKcfjwYRQXFzvdAmMwGFBbW4snT56YmMUlEgkOHToEqVSKa9euWWx/UCgUWF5etuq7yMjIwLFjx7CwsICvvvrK6p12S8TFxeHYsWNODbKzxMbGBl69eoXKykq7E4J9fX2xf/9+pKenO7womp6eRkVFBZqbmx2ab2EtJUoqlSInJwcFBQU2W6IWFhbw888/o7Oz0+L5GIZBVFQUjh8/vi2xSew+LMticnIS7e3t6OjosJmwFB4ezguLN+2vYFkWo6Oj/JwN44rpVoyrFfHx8TSzgnjvIZFBEMR7g8FgQEVFBZ49e2ay4A8LC8OFCxe2FUs7NjaGu3fvmt09TU9PR05ODn744QeLpk2JRAKRSGS1HSg8PBwnT56EXC7H/fv30dHR4fA1hYSEoLS0dFteEmM0Gg1evXqFiooKu+IiMDAQBw4cQHJyssMibWhoCOXl5VCpVA7tz/kttvbVe3l5obCwEFlZWVZbsliWRU9PDx4/fmzV3yGVSpGbm4uDBw/uySA1wjbcgr2jowMdHR1WzdACgQDR0dFISkpCYmIiFArFG73OjY0N9PX18cLCVkuhj48PP8AvMjKS4mWJDwr6bScI4r1genoat2/fNqkECIVCHDlyBEVFRU5XL9bX1/H06VPU1NSY9Hz7+vri+PHjVlujjOddWGoJ8vLyQmlpKWJjY1FWVoaqqiqHTd0+Pj44duwYkpOTd9QGotVqUVNTg/LycrttUUFBQTh06BASExMdOifLsujt7cXLly8xNDTk0PVw4mJra0lERAQKCwuRmJho9een0+lQWVmJqqoqq5/F398fR48edfgzEG8ObpJ7W1sbOjo6TIZiGiMSiRAXF4fk5GTEx8fveNaLsywsLEClUkGlUtk0bQsEAkRFRfHCYi+SqwjibYFEBkEQ7zQsy+LVq1d49OiRyR3wkJAQXLx4cVsD0zo7O/HTTz+ZVCGEQiEOHDgAT09Pq61RSqUSS0tLFlujxGIxDhw4gH379qG1tRV/+Zd/addUzeHu7o5Dhw4hJydnR33bOp0OtbW1KCsrs3vu4OBgHDp0yOEBegaDAZ2dnXj58qXNlhEO4/kWxuKCYRikpKSgqKjI5nyN5eVl/Pzzz2hra7P4sxAIBEhISMCJEyfIRPuWwbIshoeHeWFhrdonkUiQkJCA5ORkxMXFQSKRvNFrHBsbQ1dXF1Qqlc30M3d3d34qeExMDFXJCOI1JDIIgnhnWVpawu3bt9HX18c/txPvhVqtxv3799He3m7yfGxsLA4cOICffvoJU1NTZu+TSqVgGMbqXdi0tDQcP34c8/Pz+M1vfuPQIhzYvHtbVFSEkpKSHS1c9Ho9Ghsb8eLFC6vXyBEaGopDhw4hLi7OIXGh1+vR0tKCsrIyzM7O2t1fIBCAYRjo9XoTUSgWi5GdnY2ioiKbfovR0VE8ePAAw8PDFl+XyWQoKChASUkJxX6+RRgLi/b2dquRyG5ubkhKSkJycjJiYmLeaHuRTqdDX18fLyxsxTYHBQXxwiI0NJQqZARhARIZBEG8k7S1teHHH380iXgNDAzEpUuXEBgY6NSxWJZFQ0MDfv75Z5Pjubu74+TJk5icnMRvf/tbs/cZt0ZZIjAwEKdPn4aXlxcePnyItrY2h68pMzMTR48ehVKpdOqzGMOyLFpbW/Hs2TOb8ZnAZuXi8OHDiI+Pd2jBxA3oKy8vt/r5jREKhTAYDGZGbHd3d+zbtw95eXlWW2C4z/HkyROrqVvUEvX2YdwK1d7ebrViIZPJkJycjJSUFERFRb3RlKW1tTWoVCp0dXWhp6fHahqUUChEdHQ0PxmcTNsEYR8SGQRBvFOsr6/j3r17ZhO2i4uLceTIEafvfFqbAp6VlYXU1FTcuHHDoinaVmuUTCbDkSNHkJmZierqaly5csVmlKUxUVFROHHixI5Sj1iWhUqlwpMnTyxWXowJDAzE4cOHHV6ca7Va1NfXo7y83KEZF9aG5/n6+qK4uBgZGRlWf2ZcBG1lZaXFeSEMwyAmJganTp3alqmfcD0sy2J8fBytra1oa2uzWjmTy+UmwuJNDj1cWFhAZ2cnurq6bM7ZkMlk/FRwaoMiCOchkUEQxDvD0NAQbty4YbKw9/T0xMWLFxEVFeXUsQwGAyorK/Hs2TOTth1vb2+cPHkSDQ0NuHLlitn7xGIxRCKR1cVTdnY2SktLMTo6ir/927+1W0Hg8PHxwYkTJxz2QFhjcHAQjx49wsjIiM39/P39cfjwYYdN5BqNhp/+7YiXxJqZOyQkBCUlJUhKSrK6sFxdXcWjR4/Q3Nxs0W8hFouRlZWFI0eOvHEDMGGZqakptLa2orW11WoqFFexSEtLQ2Rk5BsTFizLYnp6Gh0dHejq6jKJtt6Kj48PH4cbFhZGE98JYgeQyCAI4q3HYDDg5cuXeP78ucldx4yMDJw+fRpubm5OHc9SEhXDMCgqKkJQUBCuX79uFqMKbCZDLSwsWKxKBAYG4uzZs/Dw8MDt27cdjm2VSqU4ePAg9u3bt6M2kampKTx+/Njueb29vXH48GGkpaU5tIDSaDSoqalBRUWF3SQqwLq4iImJQUlJCaKjo62KmtnZWdy7dw99fX0W7y57eHjg4MGDyM3NpcXfW8Dc3BwvLKanpy3uI5PJkJSUhNTUVERHR79RYTEyMsILC1tiPzQ0lI/D9fPzo3Y7gnARJDIIgnirWVpawo0bNzA4OMg/5+bmhnPnziE1NdWpY3HVi6dPn5rcIQ8KCsKJEyfw9OlTVFRUmL1PLpdDo9FY9ANIJBIcPXoU2dnZqKioQFlZmcORtNnZ2Th69Cg8PDyc+hzGLC4u4tmzZ2hsbLS5n0KhwMGDB5Gdne2QmHEm5hbY/D5oNBozcZGcnIz9+/cjJCTE6ntHRkbw008/Wb3D7O/vjxMnTiAuLs7udRC7i1qtRltbG1paWqxO3pZKpbywiImJeWMeC4PBgMHBQX4yuLV2PoFAgJiYGCQmJu7JnA2C+FAgkUEQxFtLZ2cnfvjhBxNPRGRkJD7++GOnDdGWqhcCgQAHDx6Eu7s7vv76azNTMsMwUCgUNlOjTpw4gampKadaoyIiInDq1Kkd+S7W1tbw8uVLvHr1yqaokclk2L9/P/Lz8x1KW9JqtaitrXW4LYoTF8YzQRiGQXp6Ovbv3281QpjzjTx8+NDq9y0qKgpnzpzZVgwx4TrW1tbQ0dGB1tZW9Pf3W9xHJBIhMTERaWlpiIuLe2OpUFwiFFexsDZUUiKRID4+HomJiYiPj3e6+kkQhPOQyCAI4q1Dp9Ph4cOHqKmp4Z9jGAaHDh3CgQMHnGq5sDYFPDg4GKWlpXjw4IFFc7RCoYBarbYoMLy9vXH27FkEBATgwYMHDqdGKRQKnDhxAqmpqdtuydDpdKipqcGLFy8smqE5JBIJCgsLUVxc7JBhVafToa6uDmVlZTajO42Pv1VcCIVCZGZmYv/+/VZnU7Asi/r6ejx9+tSiiBEIBEhNTcXJkyfh7u5u9zqI3UGn00GlUqGlpQXd3d1WZ5HExcUhPT0dCQkJb2yOhVarRW9vL9rb26FSqbCxsWFxP5lMhsTExD2JwyUIgkQGQRBvGTMzM7h+/brJ8CulUonLly8jIiLCqWPNzc3h5s2bJiZogUCAQ4cOQSKR4Ouvvzbr/RcIBJDJZBZbLQQCAYqLi7F//340Njbi+++/tzjV29L7ioqKcPDgwW0vxFiWRUdHBx49emTVWMudKzc3F4cOHXJoke7MDA3AsrgQiUTIzc1FcXGx1QoT16pWVlZmURyJxWLk5eXhyJEjNN9ij2BZFoODg2hubkZ7e7vVxXtUVBTS09ORnJz8xoz3Go0G3d3d6OjogEqlsprWplAokJycjOTkZERERJB3hyD2EBIZBEG8NbS2tuLOnTsmC9ikpCScP3/eqcUMy7Koq6vDw4cPTRYjISEhKC0txb179ywaVblYWkt32MPCwnDu3DkYDAb87ne/s5lQY0xMTAxOnz69o4jVkZERPHz40OoAOo7U1FQcPXoUPj4+do9pMBj4GRq2RAuHJXHBCYPi4mKrvhKdTofnz5+jurra4sJQJpPxk9BpQbg3TE1NoampCa2trVaFZnBwMNLT05Gamrqj2S3OoNFooFKp0N7eju7ubothDMBmZZETFjQYjyDeHkhkEASx5+h0Ojx48AC1tbX8c0KhEKdOnUJubq5Tiwa1Wo0ffvgBPT09/HOc90Imk+Grr74yq16IRCJIJBKLCyypVIpjx44hIyMDz58/R1VVldVcfWOUSiVOnjzpcESsJRYWFvDo0SO77VhRUVEoLS1FaGio3WOyLIvOzk48ffrUaiKQMdbERX5+PoqLi61WSzQaDX7++Wc0NDRYbLVRKpUoLS1FWloaLQr3gOXlZbS0tKC5udnqBHpvb2+kp6cjPT39jc0hcVRY+Pr6IiUlBSkpKQgMDKTfIYJ4CyGRQRDEnjI/P49r166ZVAZ8fHzw6aefIigoyKljtbW14e7duybmT39/f5w8eRI///yzSQsWh6enJxYXFy0uZhITE3HmzBlMTU3hb/7mb6xOmzbGFa1RGo0GL1++RGVlpU1Tt7+/P44fP464uDiHFll9fX14/Pix1VQgYyyJC4lEwosLuVxu8X1ra2t4+PAhmpubzYz0wObi8NSpU5QUtQdotVp0dnaiubkZvb29FsWyTCZDWloa0tPTERYW9kYW71qtFiqVCm1tbTaFhb+/Py8s/P39SVgQxFsOiQyCIPaMzs5O3L5926RHPyUlBefPn3dquq61KeCFhYXw8/PDN998Y7bgFYlEEIlEFid2y+VynD59GlFRUXj48CFaWlocuo6IiAjeEL4dWJZFU1MTHj9+bNN87e7ujiNHjiA7O9uhFqOxsTE8fvwYfX19dve1VrkoKCiwKS5WV1dx7949tLW1WVy8BgUF4cyZMwgPD7d7DYTrYFkWw8PDaGxsRFtbm0UPkVAoRFJSEjIyMhAbG/tGImd1Oh26u7vR1tZm02MREBBgIiwIgnh3IJFBEMQbx2Aw4NGjR6isrOSfEwgEOHHiBAoKCpy6Qzk8PIwbN26YVBk8PT1x5swZlJeXo6qqyuw9tqoXaWlpOHnyJHp7e/FXf/VXViMxjZHJZDhx4gQyMzO3fXd1eHgY9+/ft1llEIlEKCoqQklJiUMibHZ2Fk+ePEF7e7vdfa0ZuvPz81FSUmK1LWplZQV3795FZ2enRXERFhaGjz76aNvCi9geCwsLaGpqQlNTk1XPTWRkJDIyMpCSkvJGIl31ej36+vrQ2tqKzs5Oq6EJJCwI4v2ARAZBEG+UlZUVXL9+HQMDA/xznp6e+OSTTxAWFubwcaxNAc/MzERiYiKuXbtmJiKEQiGkUqnF6oVCocDZs2cRHByMH374Ad3d3Q5dR3Z2NkpLS63e4bfH0tISHj16ZLdakpGRgaNHj8LT09PuMdVqNZ4/f476+nq7/hFrUbS5ubnYv3+/1UFlKysr+PHHH9HV1WXxHFFRUTh37hx8fX3tXi/hGjQaDTo6OtDY2Gjy98sYHx8fZGZmIiMjA15eXrt+TdyAvNbWVnR0dFgV7X5+fkhNTUVqaioJC4J4TyCRQRDEG2N0dBTff/+9icE6Pj4ely5dcio9amFhATdv3sTQ0BD/nFQqxdmzZ9HV1YXvv//e7D1ccpSl6dVZWVk4ceIEOjo68Fd/9VdWozuN8fPzw0cffeR0rC6HTqdDVVUVXrx4YbVVBADCw8Nx6tQpmxOzOTY2NlBRUYHKykqbxwQ2W6C0Wq2JuBAIBMjOzsbBgwetJgjZq1zExMTgo48+eiMLWGKzHWpkZAQNDQ1W26GkUinS0tKQmZn5RnwWLMtidHQUra2taGtrs9r65+PjwwuLgIAA8lgQxHsGiQyCIN4IDQ0NuHv3romR+fDhwzh48KBTi4u2tjbcuXPHRAhERESgpKQEN2/eNJvBwDAM5HK5xeQoDw8PnD9/Hv7+/rh+/bpDngWBQIADBw5g//792x7u1dPTg3v37tmcEK5UKnH8+HGHBvcZDAbU19fj2bNndqd0i0Qi6HQ6MxGSmZmJQ4cOWR2iZ09cJCQk4Ny5c1YrH4RrUavVaGpqQmNjI2ZnZ81eZxgGsbGxfGXvTcwemZ6eRktLC1pbW622aCmVSqSlpSEtLQ1BQUEkLAjiPYZEBkEQu4per8e9e/dQV1fHPyeVSnH58mXEx8c7fBytVot79+6hoaGBf45hGBw8eBB6vR7ffvut2Xvc3d2xsrJiceGdnp6OU6dOobW1FdeuXbN75x/YrCp89NFH227nmJ+fx4MHD9DV1WV1H5FIhJKSEpSUlNhdGLIsC5VKhUePHmFmZsbmvkKhEAaDwayFLDk5GYcPH7bqmVhdXcXdu3fR0dFhUVwkJibi3LlzVudkEK5Dr9dDpVKhoaEBPT09Fn8efn5+yMrKQkZGxhsRfIuLi2htbUVra6vVKFx3d3ekpKQgLS0N4eHhJCwI4gOBRAZBELuGWq3G999/bzJxOyAgAJ999plDA+M4pqence3aNZO5Dl5eXjh9+jR+/vlniwtshUJhcWq3XC7HuXPnEBwcjGvXrlntXTdGIpGgtLQUeXl521ogabValJeXo6yszGYkbVpaGkpLSx3yXYyNjeHhw4cYHBy0uR/DMBAIBGbnjY2NxZEjR6zO1lhfX8f9+/fR3NxstXLx0Ucfkbh4A8zMzKChoQFNTU0WBbNEIkFaWhqysrLeSDvU2toa2tvb0dLSYvX3TyqVIjk5GWlpaYiOjqZBiwTxAUIigyCIXWF0dBRXr141Weinpqbi/PnzTs2PaGxsxE8//WRSaUhLS0NCQgKuXr1qFk3r5uaGjY0NiwIjOTkZZ86cgUqlwl//9V9bTbcxJiEhAWfPnt32lOOenh789NNPNqdqBwYG4vTp04iMjLR7vKWlJTx+/NgsrtcSnO/CWGBwU8+jo6Mtvker1eLhw4eor6+3OOeC2qLeDBqNBu3t7aivr7c66T0qKgpZWVlITk7e9kwWR+EiZ1taWqBSqSyKZaFQiMTERKSlpSE+Pn7b7YQEQbwf0L8ABEG4nJaWFvzwww98aw7DMCgtLUVRUZHDd1k1Gg1++uknNDU18c+JRCKcPHkSAwMDuHHjhtl7OHP3VqRSKc6cOYOoqCiHk6NkMhlOnz697YnUS0tLuH//Pjo6Oqzu4+bmhqNHjyI3N9funV6NRoOKigqUl5dbHVbGwYkLY2Hm4+ODo0ePIiUlxeLn0el0ePr0Kaqrqy0uIOPi4nD+/HkSF7vM+Pg46uvr0dLSYjGAQKFQICsrC1lZWU5VA7cDy7IYGhpCc3Mz2tvbzfxOwObf7ZiYGKSlpSE5Odmp+TYEQbzfkMggCMJlsCyLJ0+eoKysjH/Ozc0Nn376KWJiYhw+zuTkJK5fv27SBuXn54fjx4/j9u3bZglRAoEAQqHQosCIjIzExYsXMTIygr/+67+2uFDaClfx2E4rkF6vR3V1NZ49e2bT55GTk4OjR49anT/BwbIsmpub8fjxY4vVGWMsiQt3d3ccOnQIOTk5FoesGQwGlJeX48WLFxbFC/f9o7So3WNjYwMtLS2or6/H+Pi42esCgQAJCQnIzs5GXFzcrrcezc7Oorm5Gc3NzVan3IeEhCA9PR1paWnUMkcQhEVIZBAE4RI2NjZw8+ZNE1Ozn58fPv/8c6dmJTQ2NuLu3bsmC97MzEyEhITYNHdvbe0RCAQ4evQoMjMzcf/+fbS1tdk9t1wux5kzZ5Camurw9RozPDyMH3/8EVNTU1b3CQ0NxZkzZxyKpHVkQB9gOTFKIpGguLgYRUVFFltpWJZFfX09Hj16ZFF4hYaG4uLFi/Dz87N7ncT2GBsbQ21tLVpbWy0KUl9fX2RnZyMzM3PXF/Krq6toa2tDU1MTRkdHLe7j5eWF9PR0ZGRk0O8FQRB2IZFBEMSOmZ+fx3fffWeyuI6Li8Ply5cdniSs0+lw79491NfX88+JxWKcPHkSnZ2duHfvntl7OIGxFX9/f3z88cdYXV3F3/3d39mtAACbfpHTp0/brSxYYn19HY8ePTJJ0NqKm5sbSktLkZOTY7f9ytEBfQKBACzLmggyhmGQk5ODw4cPW12YdnR04O7duxa/d4GBgbh48SKCgoJsnpvYHhqNBi0tLairq7NYtRAKhUhJSUFOTg4iIyN31cSt1+vR3d2NpqYmqFQqix4cNzc3pKamIiMjg5KhCIJwChIZBEHsiKGhIVy9etWkhamoqAilpaUOt3UsLCzg+++/N1l0+fv7o7S0FLdu3TKbEiyRSKDT6SwukgsKCnD48GG8ePECVVVVds8tl8tx9uxZpKSkOHStxrAsi46ODty7d8/qwDFgc9hfaWmpXQGj0+lQWVmJly9f2o3U5aoXxiQkJKC0tNRqxO7g4CBu375t0YTu4+OD8+fPO2Q+J5xnYmICtbW1aGlpsRg4EBAQgJycHGRkZDg1mNJZWJbFxMQEmpqa0NLSYnE4pUAgQHx8PDIzM8nATRDEtqF/OQiC2DYtLS24ffs2bxQWCoU4d+4csrKyHD5Gd3c3bty4YdKyk5aWhrCwMIvtUbaiaS9evAilUonf/va3NluWOHYy42FxcRE//fQTVCqV1X38/f1x9uxZuwt3lmXR1dWFhw8f2kyhAjYFlkajMREYwcHBOH78uNXEqNnZWdy4ccNi25WHhwfOnj2LpKQkm+clnEen06GtrQ21tbUmMc4cIpEIqampyM3N3fXo2eXlZbS0tKCxsdHq343Q0FBkZmYiNTUVcrl8166FIIgPAxIZBEE4DcuyePnyJZ4+fco/J5fL8dlnnyEiIsKhYxgMBjx//hwvXrzgnxMIBCgtLUVfXx/u379v9h43NzeLAiMmJgYXLlxAW1sbrl69anMWBbCZNnXq1ClkZmY6vbAzGAx49eoVnjx5YrXaIBaLcejQIRQWFlo0WxszOzuLe/fuobe31+Z+nKnb+C64QqHAsWPHkJGRYfFzrKys4Pbt2xbTtNzc3HD8+HFkZ2dTC4yLmZubQ21tLRobG82qcMCmVyk3NxeZmZm7WrXg2qEaGxvR3d1tsR1KqVQiIyMDmZmZ5LMgCMKlkMggCMIp9Ho9fvzxRzQ2NvLP+fn54U//9E/h7e3t0DHW1tZw48YN9PT08M8pFAqcOnUKd+/eNWvh4BbYWw3KnLk7IyMDt27dQl9fn91zR0dH48KFCw4NvNvK1NQUfvjhB6vGWACIj4/HmTNn7KYxaTQavHz5EhUVFRYXfxyc78JY0HBTwYuLiy2aurVaLe7fv4+GhgazQXoikQgHDhzA/v37aUCaCzEYDFCpVKitrbUoGIVCIZKTk5GXl4eIiIhdFXaTk5NobGxEc3OzxXYokUiElJQUZGZmIioqin4PCILYFUhkEAThMOvr6/j+++/R39/PPxcVFYVf/OIXDt+RnZycxNWrV03agqKjo5GWlobr16+bLYo9PDws+h28vb1x+fJlrK2t4W/+5m8sLqaMEYlEKC0tRUFBgdMLPL1ej7KyMrx48cKqIHB3d8fp06etzqHg4HwcDx48sBi5u/Wat/ouMjIycOzYMYvDAVmWRUVFBZ49e2b2Ps4QfurUKeqxdyErKyuor69HXV0dFhcXzV738vJCbm4usrOztxUq4Cjr6+tobW1FQ0OD1TSyiIgIvh2K5lkQBLHb0P80BEE4xPz8PL755huT2RVZWVk4d+6c3ZYgjvb2dty6dcvkrnxJSQlWV1dx584ds/3d3NwsCoy0tDScPn0aZWVlqKystHveoKAgfPzxx1YN0bYYHR3FDz/8YNPjkZOTg9LSUrtCy9nWKGOhEBYWhpMnTyIsLMziezo7O3Hnzh2LYishIQEXLlygPnsXMjo6ilevXqGtrc1ie158fDzy8/MRGxu7a5UClmUxODiIhoYGtLe3W5xzolAokJmZiaysLKeipAmCIHYKiQyCIOwyNjaGb775xiTN6ciRIzhw4IBDVQGDwYBnz57h5cuX/HNisRhnz55FWVmZiXAB/ngHf2t7lFAoxOnTpxEVFYUrV67YnR8BAMXFxTh69KjDQohDq9Xi6dOnqKqqMquucPj5+eGjjz6y60PRarV48eKF3dYooVAIvV5vIsIUCgWOHz9udfL41NQUrl+/junpabPXQkJC8PHHH9Pi0kXodDq0traipqbG4u+eXC5HdnY28vLydnV4oVqtRmNjIxoaGiwGBQiFQiQlJSErKwsxMTHUDkUQxJ5AIoMgCJv09vbi6tWr/MJXKBTiwoULSE9Pd+j96+vruHHjhon52NvbG0eOHMEPP/xgdvdVJpNZNMv6+Pjg008/xdTUFP7u7/7OYgyoMUqlEhcvXrSauGSLoaEh3L59G3NzcxZfFwgEvK/BXutRd3c3fvrpJ6uTk4HNViaBQGByR1woFKKoqAgHDhyw6LtYXV3FjRs3LFZFPD09cenSJYqjdRFLS0uora1FXV2dxUpRaGgo8vPzkZqaumutaAaDAd3d3aivr0d3d7dF4RsUFITs7Gykp6fvqqGcIAjCEUhkEARhlebmZty+fZu/++7m5oY/+ZM/cThBanp6GlevXsXs7Cz/XGxsLKKionDjxg2z/a0JjNTUVJw6dQqPHz82MZxbIzU1FWfPnnV6oaXVavHkyROb8zVCQkJw4cIFBAQE2DzW0tISHjx4gPb2dpv7ca1RxgIjMTERJ06cgI+Pj9n+er0ejx49QnV1tdlCUyqV4uTJk8jKyqLEqB3CsiyGh4fx6tUrdHR0mFWghEIh0tPTkZ+f79D09u0yPz+PhoYGNDY2WkxWk0qlSE9PR05ODoKDg3ftOgiCIJyFRAZBEGZwBuJHjx7xzymVSnzxxRcO+xp6enpw/fp1bGxs8M8VFxdjbm4Ojx8/NtlXIBCAYRgzgSEUCnHy5ElERUXhq6++sjv7QiKR4MyZM1YjXW0xPDyMW7duWa1eiEQiHDlyBIWFhTbbT7iI26dPn9qstlhqjfL19cWpU6cQFxdn8T3Nzc346aefTL6nwOb3r7CwcFttYYQp3GyL6upqixO5lUol8vPzkZOTs2seF71ej87OTtTX11tNTIuKikJ2djaSk5MhFot35ToIgiB2AokMgiBMYFkWDx48QHV1Nf9cQEAAfvnLX1pMNLL0/levXuHBgwf8nXaRSMQbtbf2kEulUrNFM7CZyvOLX/wCMzMz+C//5b/YnYAdHByMy5cvO+0/4LwXtgzkUVFR+OijjyxWFowZGxvDnTt3MDExYXUfS61R9uZqjI+P4/r16xYFUGJiIi5cuEDtMTtkeXkZtbW1qK2ttThJPjIyEvv27UNiYuKueRzm5uZQX1+PxsZGi9fg7u6OrKwsZGdnk8+GIIi3HhIZBEHw6HQ63Lp1C21tbfxzkZGR+Pzzz+Hm5mb3/Xq9Hvfu3UNdXR3/nFKpxPHjx3H79m0z/4VcLrfY4x4fH4+PPvoIz549Q319vd3zFhYW4tixY073w4+OjuLmzZsm7VzGSCQSHD9+HLm5uTYrIxqNBk+fPrXYwmSMpdao1NRUnDhxwqKAW11dxc2bN03miXAEBATgk08+2VZiFvFHJiYmUF1djZaWFrOUKJFIhPT0dOzbtw+BgYG7cn69Xo+uri7U1dVZrFowDIO4uDhkZ2cjISGBKlUEQbwzkMggCAIAsLGxgatXr5rMwEhJScGlS5ccWryvra3h2rVrJu8PDQ1Famoq/vCHP5jtLxaLLQqMw4cPIy0tDd98843NigCwKVIuXryI+Ph4u9dnjF6vx4sXL/Dy5UuroiA6Ohrnz5+3mxLU3d2Nu3fvWpyRwCEQCGAwGMxao86cOYOYmBiz/blp6GVlZWZeAJlMhnPnziElJcXmdRHWYVkWKpUKVVVVGBgYMHtdoVCgoKBgV1uiFhYWUFdXh4aGBotVC4VCgezsbOTk5GxrcCRBEMReQyKDIAisra3hypUrJpOs8/PzcerUKYdaQ2ZmZvDtt9+atPNwkasPHz402dfSBGtg01R++fJlaLVah9KjoqKi8PHHH0OhUDjyEXmmp6dx8+ZNi/32wKb4OXHihN3qxcrKCu7fv4/W1lab5+O8F8bHP3jwIIqKiizele7t7cWNGzfMBJhAIEBJSQkOHz5MkaTbRKPRoKmpCVVVVRZbz0JDQ1FYWIjk5ORdqRgYDAb09PSgtrbWJG3NmPj4eOTm5iI+Pp5+zgRBvNOQyCCIDxy1Wo2vv/7axFR99OhR7N+/3yHzdF9fH77//nsTX8XBgwehUqnMKhESicSieOD8FA0NDSgvL7d5PoZhcOjQIRw4cMCpRRjLsqiursbjx48tDi0DNoXL+fPn4e3tbfM4TU1NePjwocUkLA5u1oexwEhKSsKpU6cs3pleWlrCtWvXMDIyYvZafHw8Ll26RL6LbaJWq/Hq1SvU1dWZ/cwYhkFKSgoKCwutDjrcKcvLy6ivr0d9fb3FihdVLQiCeB8hkUEQHzDz8/P46quvTMzYZ86cQX5+vkPvb2xsxJ07d/iWHpFIhFOnTuHJkydmd+KtxdNmZWXh0KFD+OGHH0xarSzh7u6Oy5cvOz37YnFxEbdv37Z6fLFYjNLSUuTn59sUVgsLC/jxxx9tTuxmGAYsy5oIGaVSiTNnziAxMdFsf71ejwcPHqC2ttasdcvLywuffvrprkakvs9MTk6isrISLS0tZm1nUqkUubm5KCgo2JWFPcuyGBoaQm1tLdrb2y0OYYyNjUVubu6umskJgiD2ChIZBPGBMj09ja+++orP3mcYBpcuXXJoyB7Lsnj27BlevHjBP6dQKHD06FET0cEhlUrNBIZAIMCpU6cQHByM3/zmN1haWrJ5zqioKFy+fBkeHh6OfkQAQGtrK3788UeLCVYAEBYWhosXL9pM62FZFjU1NXj06JHNlCuuesHBMAwKCwtx+PBhiwP1Ojs7cfv2bbPJ5mKxGCdPnkROTg7Nu3ASlmXR39+PiooKi2LQ29sb+/btQ1ZWFqRSqcvPv7GxgebmZtTW1lqMXJbL5cjKykJubq7dtDKCIIh3GRIZBPEBMjo6iitXrvALf5FIhE8//RQJCQl236vX6/HDDz+gubmZfy4wMBBpaWm4ffu2yb4Mw4BhGLMFvlwux6effoqZmRn89re/NUv12cqBAwec9iJsbGzg3r17aGpqsvi6QCDA4cOHUVJSYvO4s7Oz+OGHHzA0NGR1H87YbSwwwsLCcO7cOYupREtLS7h69SrGxsbMXsvIyMC5c+do9oGT6PV6tLW1obKy0mJgQEREBAoLC3etajA9PY2amho0NTVZbAkMDw9HXl4eUlJSdm0qOEEQxNsE/UtHEB8YAwMD+Pbbb/mFkEQiwZ/8yZ8gKirK7nvX1tbw/fffmyTyxMTEQKFQWBywZzAYzFqAOP9FWVmZ3endcrkcly5dsjqczhrDw8O4efOm2UwODn9/f1y6dMnmhGSDwYDKyko8e/bMqocDMDd2S6VSlJaWWjSOGwwG/PzzzxajbgMCAvDZZ5/R3W0n0Wg0qKurQ1VVlVk1jGEYJCcno6ioaFf8FgaDASqVCq9evbLYiicWi5GRkYG8vDwEBQW5/PwEQRBvMyQyCOIDoq+vD99++y2/aJbJZPjiiy8c6vlfWFjAlStXMDMzwz+XmZmJ2dlZs2oBNw9iK2lpaTh8+DBu3rxpkmRlibCwMHz66acODQDkMBgMePnyJZ4/f241mtaRmRrT09O4deuWxUoDBycujAVGcnIyTp8+bTHxqqenBzdu3DBrG5NIJDh79iwyMjLsfTzCiJWVFVRXV6Ompsas3UwkEiE7OxuFhYW7ItpWV1dRX1+P2tpai0ZuPz8/5OXlITMz06H5MgRBEO8jJDII4gOhu7sbV69e5RfFHh4e+PLLLx0a5jY+Po4rV66Y5PkfOHAAzc3NZossNzc3s0UfwzAoLS1FWFgYfvvb32J5ednm+fLz83Hy5EmnYkQXFhZw48YNDA8PW3xdqVTi0qVLNis2XPXi6dOnNlu4tk7sVigUOHPmDJKSksz2XV1dxbVr1yzOY8jIyMBHH31E7TNOMDc3h8rKSjQ2Nloc7lhQUID8/PxdmW9ha3AfwzBITExEfn4+oqOjyUtDEMQHD/3PRhAfAF1dXbh27Rq/MFIqlfj1r3/t0F3evr4+XL16lW+vEgqFKC0txdOnT816z8VisZnAkEqluHz5MtRqNX7/+9/bXLyLRCJ89NFHTt/Vb2trw507d6yau1NTU3Hu3Dmbd5VnZ2dx69YtixGyHFz1wtjYnpeXh2PHjpkdm2VZVFRU4MmTJ2ZGeF9fX3z22Wc0rdsJxsfHUV5ejvb2drMqlbe3N4qLi5GZmelyL4vBYEBnZyeqq6st+nLkcjlycnKQl5dH8bMEQRBGkMggiPec9vZ2/OEPf+AXul5eXvjyyy9tzoLgaG1txc2bN/n3urm54ciRI3jw4IHZwplhGLMWKW9vb/ziF79AfX09ampqbJ6L29eZ3nWtVov79++jvr7e4usSiQRnzpxBRkaG1TvLjszPADY/n7FA8vX1xfnz5xEREWG27+TkJL777jssLCyYPM9F/Obm5jrw6QguBrasrAw9PT1mrwcHB6OkpATJyckuN3NzLVE1NTUWk89CQkJQUFCA1NRUqkQRBEFYgP5lJIj3mNbWVty4cYO/8+vt7Y1f//rXDt1xraqqwoMHD/g/KxQK5Ofn4969eyb7cXMhtt5djoiIwLlz53D37l0MDg7aPFdCQgIuXrzo1LC5qakpXL9+HdPT0xZfDwsLw6VLl2xWa+bn53H79m2b18dVL7jPxzAMSkpKcOjQIbPFpU6nw507d0yStzgSExNx6dKlXYlNfd9gWRbd3d0oKyuz2P4WGxuLkpISREVFubwtaXp6GlVVVWhubjYTnQKBACkpKSgoKEB4eLhLz0sQBPG+QSKDIN5TmpqacPv2bX5x7Ovriy+//NKukZplWTx+/Nhk8rafnx+io6Px5MkTk325BKmtZGVloaCgAN98843Z3fytHD58GAcPHnR4sciyLBoaGnDv3j2LlQeGYXDgwAEcPHjQqqeDO8aDBw8sxo0aY1y9CAwMxIULFyymUqlUKty4ccOsZcvDwwO/+MUvaFHqAAaDAW1tbSgvL8fk5KTZ66mpqSgpKbGZCrYdWJZFT08PqqurLc7WkMvlyMvLQ15enkVTP0EQBGEOiQyCeA9pbGw0mVnh7++PL7/80u4gO71ejzt37pikRYWGhkKhUJi1O1lLkCotLYW/vz9++9vf2lzASyQSfPzxxxanYFtjfX0dP/74I9ra2iy+rlQqcfnyZYstTBzLy8u4c+cOVCqV1X22xtIKBAIcOnQIJSUlZsLFUqwvsCl29u/fjyNHjpAJ2A56vR7Nzc0oKyvD3NycyWsCgQCZmZkoKSmxOTBxO2g0GjQ3N6O6utokNY0jKCgI+/btQ1paGrVEEQRBOAn9q0kQ7xnNzc0mAiMwMBC/+tWv4O7ubvN9Wq0W165dQ3d3N/9cfHw8VldX0dnZabKvRCKxaPr++OOPMT8/j++++85qhCwA+Pj44PPPP3fK+Dw+Po5r165ZnX2RlJSE8+fP22y56uzsxJ07d7C6umrzXMYCIzQ0FOfPn0dAQIDZfrW1tbh//76ZmT04OBiff/65U/G7HyJarRYNDQ2oqKgwSykTi8XIzc1FUVGRy7+ParUar169Qm1trcUktKSkJOzbtw8REREkEAmCILYJiQyCeI9obW3FrVu3+D8HBgbiyy+/tBvnub6+jm+//dYkPSczMxPDw8Nmd5ZFIpGZwPDw8MBnn32GhoYGqyZsjri4OFy+fNnh+QEsy6K+vh737t2zmEwlFApx4sQJ5OfnW10Qbmxs4P79+zaH/22tXgiFQhw5cgRFRUVmpuLFxUV88803mJqaMnleJBLh3LlzyMzMdOizfahoNBrU1taisrLSLM7Yzc0NBQUF2Ldvn8tjaCcmJlBZWYnW1lazNj+pVIrs7GwUFBQ4FIpAEARB2IZEBkG8J7S1tZmYvAMCAhwSGCsrK7hy5QrGx8f55/bt24eWlhazO/4Mw5j5IAICAvDxxx/j/v37FmdBGFNcXIxjx445nASk0Whw9+5di0ZqYNNn8sknn9hMpBoaGsLNmzdtekO2JkcFBwfj4sWLZtULlmXx7NkzvHz50qxSEx8fj8uXL5Ox2wYbGxt49eoVKisrzYYSyuVyFBUVIT8/36XfQ85vUVlZaXEqt7e3N/bt24esrCz62REEQbgQEhkE8R7Q0dFhIjA4D4Y9gbG0tISvvvrKpB+9pKQEr169sui32LqwjomJwbFjx/D999+bVTyMEYlEOH/+PNLT0x3+TNPT0/j+++8t9soDm5WWM2fOQCKRWHzdYDDg+fPnFgUBB2dc51635b2YmZnBlStXzMSKm5sbPv30U8TExDj82T401tfXUV1djaqqKrP2JIVCgeLiYuTm5rp0xoVOp0NzczMqKyst/g5FRESgqKgICQkJLo+/JQiCIEhkEMQ7T1dXF65fv863f/j5+eHLL7+068GYnZ3FV199xffCc0bl8vJyi4lRW8nKykJ6ejq+/vprs7vSxigUCnz++ecICQlx+DM1NTXh7t27FoWOWCzG2bNnbbYkzc3N4ebNmzYH621NxgoKCsKFCxfMqiIsy+Lhw4eoqqoyO0Z2djbOnj3r1GTyD4m1tTVUVVWhurraLHXLy8sL+/fvR2ZmpktN1Wtra6ipqcGrV69MJtQDm7/jqampKCwsRGhoqMvOSRAEQZjjkn/ZGYbxBhAMoJdl2Q2j5/8JgIsAVgD8B5ZlX7nifARBbNLd3Y3vv/+eXyxzMbX2UqQmJyfx1Vdf8YswgUCAkpISvHz50mQ/bgbGVg4fPgwfHx988803Nid4h4SE4PPPP3c49lOn0+H+/fuoq6uz+Lqfnx8+/fRTiyZsYFMQNDU14d69e1aTrbjPxH3PbEXeTkxM4JtvvoFarTZ5XqFQ4E//9E+dGhz4IbG2tobKykpUV1eb/Ry8vb1x4MABZGRkuFSczc/Po6qqCg0NDWbiVCKRIDc3FwUFBfDy8nLZOQmCIAjruOr20f8C4AsA/P/8DMP8XwD8BwCcE/MiwzB5LMu2u+icBPFB09/fj6tXr/KLZW9vb3z55Zd2F/QjIyO4cuUK37YiEolQWFhoJjAszcAQCAQ4f/481Go1bty4YfM8KSkpuHjxosMtMIuLi7h27RpGR0ctvp6eno5z585ZbY9aW1vD3bt3rcbbctdv/Jl8fHxw6dIlhIWFmexnMBjw008/WRQ7RUVFOH78OKUOWcCWuPD19cWBAweQnp7u0vaksbExVFRUoL293UwQKxQKFBYWIicnx+GgAYIgCMI1uEpklAB4zLKscc/EvwYwCuBPAQQB+D2A/wHA/2mnJ2MYJgzAXwA4BcAXwDiAWwD+nGVZy/mW1o+V8/paDwLwB7AAoBPAP7As+/udXitB7AYjIyP49ttv+SqCl5cXfv3rX9uN+hwcHMQ333zDLwClUilycnJQVlZmsp9IJDIzeEskEnzyySfo7Oy0myB18OBBHD582OGFeF9fH/7whz9YjJYVCoU4ffo0cnJyrB5vaGgIN27cMItB3YqxwMjLy8Px48fNRMv4+DiuXLli1mrj5eWFX/7yl/Dz83PoM31I2GqL8vPzw8GDB5GamuoyccGyLPr6+lBeXm7RzB0YGIji4mKkpqZSKxtBEMQe4SqREQrgMfcHhmFSAIQD+L+zLFv2+rlPsbmQ3xEMw8QCqMBm1eQ2NgVBAYB/CeAUwzAlLMvOOnis/w7AfwQwD+AuNkWRD4A0AGewKYwI4q1iYmICV65c4VtCFAoFvvzyS3h6etp8X39/P7799lv+fXK5HCkpKaisrDTZz5LAcHd3x6effoqXL19anIjMIRQKceHCBYcN3izLory8HE+ePLHYluXj44NPP/3UaluSwWBAeXk5nj59atfczeHh4YELFy4gLi7O7Fj37983GzrIMAwOHjyIQ4cOUfViC+vr66iqqkJVVZVFcXHo0CGkpKS4TFwYDAa0t7ejvLwcExMTZq/HxMSguLgYMTEx9LMiCILYY1wlMmQAjCNDSgCwAB4ZPdcL4JwLzvVX2BQY/4Jl2f/MPckwzP8O4F8B+HcA/lt7B2EY5gSA/wTgZwCfsCyr3vK662JOCMJFzM7O4uuvv+ZbneRyOb788ku7uf49PT24evUqLx7c3d0RExOD2tpak/0EAoGZwPD29salS5dw9+5dTE5OWj2Hu7s7Pv/8c7PWI2tsbGzg1q1bZoP+OJKSknDhwgWrbS5qtRo3b960eCfbGGOBkZqairNnz5oN7JucnMSVK1fMvBe+vr745S9/SXMTtqDRaFBdXY2KigqztKjdqFzodDp+aN/WdC/OzF1cXIzg4GCXnI8gCILYOa4SGaMAkoz+fBLAEoAmo+e8AViPoHGA11WMEwAGAPwfW17+nwH8NwB+xTDM/8iy7Aps87+9vp4/3SowAIBlWfNYG4LYQxYWFvD73/+eb+ORSqX44osv7LbvqFQqfP/993xrlYeHB0JCQtDS0mKynyUPRnBwME6dOoU//OEPNluR/Pz88Mtf/tJhU+3MzAy+++47zM6aFx0ZhsGxY8dQXFxs9W50T08Pbt68aXVy91bDulQqxZkzZ5CRkWGyH8uyePDgAaqrq83ef+jQIRw8eJDuiBuh1WpRU1OD8vJys++9r68vDh065FJxsb6+jtraWlRVVZm1r4lEImRnZ6OoqIhEIEEQxFuIq0TGUwC/ft1+tA7gPIA/sCxrvGKJBTC8w/Mcef34cMuxwbKsmmGYcmyKkEIYtW9thWGYNAAZ2PRxzDEMcwRALjarL40Anm49PkHsJcvLy/jqq6+wtLQEYDPG9Ze//KXdO7cdHR0m8bZKpRLe3t5QqVQm+zEMYyYwYmJiUFJSgu+++85mRG1UVBQ+++wzh421KpUKN27cMGuvATYrM5988gmio6Mtvlev1+PJkyeoqKiwevytAiM8PByXLl0yW4jOzs7i97//Pf895fD29savfvUrWrgaodPpUFdXh7KyMrMJ3T4+Pjh06BDS0tJcJi5WVlZQVVWFmpoas98TmUyG/Px8FBQU2I1pJgiCIPYOV4mM/xXAZWz6GxgAywD+LfciwzBKAPsB/GaH50l8/aiy8no3NkVGAmyIDAD5rx+nADyDuVekhWGYj1mW7dnmdRKEy1hbW8NXX33FD7sTCoX47LPPEB4ebvN9ra2tJgP6vLy8oFAoMDg4aLbvVj9Deno6kpOT8e2335q1TxmTmZmJjz76yCFzLcuyePnyJZ4+fWrx9dDQUPziF7+wal5fWFjA9evXraZPGZ8H+GM14sCBAyaLX5Zl8eLFCzx//tzkc3NRts4Y1t93DAYDGhsb8fz5czMx5unpiUOHDiEzM9Nl4mJhYQEVFRVoaGgw+73jhvbl5ORYTRgjCIIg3h5cIjJYlu1nGCYVwCevn/qBZdkho13iAPwtgG92eCrO2Wqtb4N73svOcbio3f8am61eZwGUAQgE8P/CZhzvXYZh0lmWtRy2/xqGYSwH+pu2jxHEttBqtfjmm28wNTUFYHMh/MknnyA2Ntbm+1paWnDz5k1+Ee3j4wM3NzcMD9svJubn5yMoKAjXrl2zaqYGNmdlONpOpNFocOvWLXR0dFh8PS8vDydPnrQ6lE2lUuHmzZtm/f8cW6sX3t7e+Pjjj838IWq1Gl999RWmp6dNnvf09MSvfvUr+Pr62v0sHwIsy6KtrQ1Pnz41m+SuUChw8OBBZGdnuyy5aXZ2FmVlZWhubjarqPn6+qKkpMTlczUIgiCI3cVlY1ZZlp0A8JdWXqsHYDvz8s3C3XYTAvicZVkuXmeJYZgvsSkQ8rBZnfl2D66PIKDX63Ht2jWTqdUXL15EUpJt/dra2moiMPz8/CAUCjE2Nmb3nAcOHIBQKMSdO3es7sPNyrA1cduYubk5XL16lRdKxgiFQpw7dw5ZWVkW3+tIexRgWonJzMzE6dOnIZVKTfapra3FvXv3zBax+/btw8mTJ6l6gc3vY3d3N548eWJm8nd3d8f+/fuRl5fnsgndExMTKCsrszjbJDg4GPv370dSUpJL52oQBEEQbwaXiQxLMAzji81WpFUAj1iWtT4a2DG4SoW1rE7u+QU7x+FenzASGAAAlmVZhmFuY1NkFMCOyGBZNtfS868rHDl2roMgLMKyLO7cuYPu7m7+uVOnTpkZl7fS1tZm0iLl5+cHhmFspkJxHD9+HAsLC2YRrsZIpVJ89tlnVj0TW+nr68O1a9csViCUSiU+++wzhISEWHzv0tISrl+/brX6srV6IZFIcPbsWbPv0fr6Or755huz48jlcnzxxReUSPSagYEBPH782ETUAoCbmxuKi4uxb98+l7UpjY6O4sWLF2beIACIjIzEgQMHKIaWIAjiHcclIoNhmH8K4L8CcJpl2bnXz+UCuI/NuRMAUMswzFEHUp9s0fX6McHK6/GvH615NrYeZ8HK69xAP5mV1wliV3n8+DGamv4YznbgwAHs27fP5nva29vxhz/8gV94+/r6Qq/XY37e9nxKhmFw9uxZDAwMoLW11ep+CoUCv/zlLxEYGGj3+lmWRU1NDe7fv2+x5SoiIgKffvopPDw8LL6/u7sbN2/etGo43yowgoOD8cknn8DHx8dkv+7ubly7do2fDcKRkZGBCxcu0B1ybFYTHj9+jJ4eUwuaWCzGvn37UFxcbBb5u12Ghobw4sULi7NW4uLicODAAURERLjkXARBEMTe4qpKxmfYLAIYN+/+b9iMrf0NNr0OZ7E5v+L/u4PzcI7REwzDCIwToBiGUWBzPscqgCo7x6kCsAIgimEYdwvCJ+31o+0AfoLYBaqqqlBeXs7/OTs7G0eOHLHxjs0Uqa0CQ6fT2Z2ALRAIcOHCBbS2tppUTbbi5+eHL774wu7AP2CzxenevXuoq7NsV8rLy8OpU6cs9tcbDAY8f/4cL168sHkOY4FRVFSEY8eOmRzPYDDg1q1bZjG9EokEn332GWJiYux+jvedubk5PH361ExYCoVC5Obm4sCBA1ZFoDOwLIuBgQG8ePECAwMDZq8nJydj//79VitaBEEQxLuJq0RGPDYnZgMAGIbxA3AIwN+zLPt/fv1cNYA/xQ5EBsuyvQzDPMRmgtQ/B/CfjV7+cwDuAP7WWDQwDJP0+r2dRsdZZRjmHwD8CwD/H4Zh/gf29aqFYZh0bFZldACub/daCWI7tLS04MGDB/yfExIScO7cOZttI11dXSYxtT4+PtBqtWZpQFsRi8W4dOkSqqqqMDQ0ZHW/8PBwfP7555DL5Xavf21tDdeuXbM4IE8gEODs2bPIybHcRbi6uoobN25YnSi+tXohl8tx8eJFxMfHm+w3NTWFr776yixqNSYmBp9//jnE4g97zuby8jJevHiBuro6E38KwzDIzMzEoUOHHJ53YguWZdHX14fnz5+btaoxDIO0tDQcOHAA/v7+Oz4XQRAE8fbhKpHhi804WI6S1483jZ57ic3F+075ZwAqAPwnhmGOAegAsA+bMzRUAP5sy/5cnM3WVdr/hE2/yH8PoOj1jI1AAB8DcAPw37Msa3m1QxC7QG9vL27dusX/OTw8HJ988onNlh5u0B63WPT29oZer7crMCQSCS5duoTnz59jYmLC6n6JiYm4fPmyQwvzmZkZfPvtt2ZpRMDmAMBf/OIXVmN3R0dHce3aNauVl60CIzo6GpcuXYJCoeCf4yJynz17ZrKvQCDAuXPnkJ2dbfczvM9sbGygoqIClZWVZu1jiYmJOHr0KAICAqy823FYlkVvby+ePXtmFjfMCZn9+/dTkhdBEMR7jqtExhwA47HDhwAYsCkGOFhsLt53xOtqRh6AvwBwCsAZAOPYnNHx5yzL2m5A/+NxlhiGOQDg/wngUwD/HTYngJcB+Pcsyz7c6bUShKOMj4+biAV/f3/8yZ/8ic3FfV9fn8l7vLy8YDAY7LZIubm54cKFC/j5558tCgKOnJwcnD171iHfQk9PD65fv25xwF5wcDA+//xzi/MvWJZFXV0d7t+/z08kt4SxaDh8+LDZ7Iu1tTX87ne/MzO4+/r64te//rWJGPnQ0Ov1qK+vx/Pnz82mZkdERKC0tNTuzBVHYFkWPT09eP78uZm4EAgEyMrKwv79+2nIIUEQxAeCq0RGB4CPGIb5MwB6AJ8DqGFZ1vh2ahQA67dMnYBl2WEA/8TBfa32mbAsu4zNysfW6gdBvDEWFxfxzTffQKPZHMmiVCrxxRdf2DTbDg0N4bvvvuMX5lx7iz2BIZPJ8NFHH+HevXs2qx2HDh3CoUOHHEr3efXqlVWDd0pKCi5evGhRLGm1Wty9e9fE4G4Ld3d3XL582SzZSqVS4dq1a2bD20pKSnDs2LEPNqGIZVl0dHTg8ePHZmIyICAApaWliIuL2/H3hxMXz549M4tJFgqFyMnJQUlJiUN+HoIgCOL9wVUi4z8CuAVgBJteBjmA/9uWfQoBvHLR+QjivWB9fR1Xrlzh/QNubm744osvrE69BoCxsTF88803fMsLd5d+YWHB5rnc3d1x5swZ/Pjjj1hdXbW63+nTp1FQUGD32g0GAx4+fIjq6mqLr9sSKvPz8/j/t3fnYVFlaZ74vyeCfZNNBcFdERX3dEEFZRNQRBbFBcHMrKqs7JqZ7pnp+U3PTE9PV81MT8/aU13VXV2VlZPpCoqKuCui4L6v6Ya7oiLuKPsS5/dHRNzkEgsBBAL6/TwPT+Q9995zb0QkEm+c8543Ly/P4lSt1tOjhgwZgvT0dFUisk6nw44dO0yCFFdXV2RlZX3SS9M+fPgQBw4cMBlR8PLyQlRUFMaPH9/plbXaCi6mTJmCWbNmWf1/mYiIPl72qvi9QwjxNYCvDE0bpJTrjfuFEHMBeADYb3o20aepubkZeXl5SvVpjUaDpUuXWk2Eff78OdavX69MS3Jzc4NWq20zwPD09ERCQgJ27txptWp2SkpKm7U4AH0F7/z8fJSWlprsc3BwQEpKCsaOHWv23Hv37mHLli0Wl6cF1NOjIiMjMWfOHNWH4jdv3mD16tUmozEhISHIyMj4ZCtDv3r1CkVFRbh586aq3cXFBbNnz8a0adM6nfhuTOguKSkxqalhDC5mz579SU9RIyIi+1b8/gbANxb2lUC/nC0R4cdiey1XYVq0aBGGDBli8ZxXr15h7dq1yodzFxcXODk5tRlg9OnTB7GxsdixY4fZnAlAHxgsWbIEISGWStD86P3798jNzUV5ebnJPk9PTyxbtszscqRSSpw8eRJFRUVmp1a15ubmhrS0NAwfPlzVfu7cOezZs8ckubs9Vcg/NjU1NSgpKTFZMUqr1WLatGmIiIiwS62L+/fvo6SkxGQ1Mq1Wi88++wyzZs1icEFERAC6uOI3EZl35MgR1TQf4xQWS96+fYu1a9cqibuOjo5wc3OzmrgN6HM1oqOjsWPHDpMVhYycnZ2xfPlyDB48uM37rqioQE5Ojtl8jgEDBmDZsmVmP2Q2NjZix44dFov9tZ4eZVxZq+VUm6amJmzcuNFkiVsfHx98/vnnn+S0nKamJpw+fRpHjx41CSDHjRuH6OhouyxH++jRIxQXF5vUueDIBRERWWL3IEMIoYV+pSlnc/ullJYX5Cf6BFy+fBklJSXK9sSJExEREWHx+Pfv32PdunXKB3utVgtvb29lmpUl3t7emDNnDnbs2GGSFG3k7u6OzMxMm/IX7ty5g82bNysJ6i2FhoYiLS3N7FScN2/eYNOmTSYrP7XUMsCYPn064uLiVFOenj9/jtWrV5tMsZoyZQoWLFjwySV3Sylx9epVHDx40CTZf/DgwZg3b55dits9efIExcXFJoGdRqPB5MmTMXv2bCZ0ExGRWXYLMgxF7P479PUqzAYY0C9jy9ET+mTdv38fO3bsULaHDRtmtdhebW0t1q9fr4xYaDQa9OvXz+xUpZa8vb0xe/Zs7Ny5UzV9pqU+ffogKyvLpnoFFy5cwK5du8xOcwoPD0dcXJzZ52BL/oWRo6MjFi1aZJLLcerUKRQWFqqu7ejoiGXLln2SlbvLyspQWFhokg/h5+eHuLg4hISEdDroqqioQHFxsUnOjXEp2oiICLuMkBAR0cfLLh/4hRCj8WNNjAMAFgK4DKACwGToRzaKAXAUgz5ZL1++xKZNm5QP/f369cOSJUssJik3NjYiNzcXz5/r61wKIRAYGGiyYlBr3t7emDlzJnbv3m0x98HX1xfZ2dltfgstpURJSQmOHDlisk8IgQULFmDKlClmzztz5gz2799vU/6Fv78/MjIyVEnvTU1NyMnJMakeHhgYiOzsbLi4dLrsTq/y9u1bHDx40GTKmZubG+bOnYvJkyd3OuH91atXKCkpMbmGEALjx49HZGQkfH19O3UNIiL6NNhrVOE/AnAEMFVK+YMQQgdgm5TyPwsh3AH8BvqieZ/b6XpEvUptbS1yc3OVefMeHh5YsWKFxQ/Kzc3N2Lx5M8rKypS2gQMHmiTctubt7Y3w8HDs3bvX4of7vn37Iisrq8059M3Nzdi1axcuXbpkss/Z2RlLliwxSco2nrd7925cvHjRav9GY8eORXJyMpycnJS2Z8+eqZLcjWbPno3o6OhPanpUfX09jh07hlOnTqmmvWm1WkyfPh0RERGdDrgqKytRUlKCy5cvm/x/M3bsWMydOxf+/v4WziYiIjJlryBjLoBdUsofWrQJAJBSVgshfg7gCoD/AgYa9IkxBgzGKU8ODg5Yvny5xVEEKSV27NiB27dvK222BBh9+vRBeHi4xcJ4ABAQEICVK1fC3d3dal8NDQ3YvHkz7ty5Y/Y6K1asQL9+/Uz2VVdXIy8vr817BfTfjsfFxWHGjBmqoOHkyZM4cOCA6jk4OTkhMzMTgwYNarPfj4WUEpcvX8bBgweVOipGY8aMQWxsbKerZ1dXV+Po0aM4d+6cScX1kJAQREVFISAgoFPXICKiT5O9ggx/ALdbbBsL8gEApJRNQohiAKl2uh5Rr7Fv3z7VlJ/U1FSLSblSShQWFuLKlStKW3BwsGpEwxxbAoygoCBkZma2uZRpVVUVcnJyzOZ9BAYGYsWKFaqieEbPnj3Dxo0b26w6Duin+CxevFhVvbu5uRm5ubkmScYDBgxAdnY2nJ0tpXp9fMrKyrBv3z6TIneBgYGIj4+3aSUwa+rq6nDy5EmcOnXKJJF/2LBhiIqKQnBwcKeuQUREnzZ7BRmvoS+2Z/QSQOuvHBsAcBkS+qScOXMG586dU7bnzp2LMWPGWDz++PHjOHXqlLIdHBxskuDbmqenJ8LDw63mPwwePBjLly9v84P6y5cvsWHDBrO1N0aMGIElS5aopjUZXb9+HQUFBRaXyW0pMDAQS5cuVY3kvH79Gt99952yRK9RZGQk5s6d+8lMj3r37h2Kiorwww8/qNo9PT0RExOD8ePHd+q1aGxsxNmzZ3Hs2DGTqWhBQUGIiYlRBX5EREQdZa8g4y6AIS22zwOIE0L0k1I+N+RlLAJw39zJRB+ju3fvYt++fcp2WFgYIiMjLR5/4cIFHDx4UNkeMGBAmwGGu7t7mwHG8OHDsXTp0jYrPT958gQbNmwwuxLUpEmTkJSUpKq6DehHXo4ePYri4mKrfRtNmDABCxYsUN3L5cuXsWPHDtUqWI6Ojli5cuUnMz2qsbERJ06cwPHjx1WBmlarxcyZMzF79myzwZ2tdDqdsnRy6xon/fr1Q3R0tF1WpSIiIjKyV5BRCODfCiHcpZTVAH4PYAGAi0KIEwCmABgM4M/tdD2iHu3ly5fYvHmz8sF/wIABSE5OtvghrrS0FLt27VK2+/XrZzJVpjVXV1eEh4eb5C+0NHLkSGRkZMDBwfqv+t27d7Fp0yazIxFz585FZGSkyb03NTVh586dqqldlmg0GsTHx2Pq1KlKPzqdDgUFBSbf2vfv3x+ff/75J7F6lJQSN27cQGFhock0szFjxiAuLq5TS8VKKVFaWoqDBw/i5cuXqn3e3t6IiopCWFiYSfBIRETUWfYKMv4IoBSAK4BqKeVuIcS/AvDXANIB1AD4H9CvMkX0UWu9kpSnpyeWLVtmcSTh8ePH2LJlixIo+Pv7K8vWWuLs7IxZs2bh4MGDFgOMkJAQLFmypM0A44cffkBBQYFJPQ0hBBYuXIhJkyaZnFNdXY1Nmza1mSsC6PMvMjIyVHkEVVVV+O677/DmzRvVsdOmTUNCQsIn8Y36ixcvsHfvXpMlevv374+EhAQMGTKkU/0/fPgQRUVFJqNh7u7umDNnjl2WvCUiIrLELkGGlLIcwKZWbX8vhPgH6JPCn0tbFssn6uV0Oh22bNlispKUpeViX716hdzcXGVpUi8vL7x69crqNRwdHREREYFDhw5ZDDBGjRpltQaH0enTp1VTulpeIyMjAyNGjDDZ9+LFC+Tm5poECOYEBARg6dKlqm/j79+/j5ycHJPlWDMyMhASEtJmn71dXV0dDh8+jDNnzqgCO1dXV8TExGDSpEmdGll4/vw5Dh48iFu3bqnanZycMGvWLMyYMaNTU6+IiIhs0aXVt6WUzdAX5CP6JBQVFeHevXvKdmpqKgIDA80eW11djQ0bNqCmpgaA/kNmdXW11eJ1Dg4OmDNnDoqLiy1W8g4NDcXixYutBhhSShQXF+Po0aMm+9zc3JCZmWl2Bax79+4hLy9PGaWxZsyYMVi0aJHqA+3hw4dRUlKiOs7b2xtffvllm3U7ejvjkrRFRUWqBHchBKZOnYq5c+e2ufKXNe/evUNJSQkuXbqk+n9Iq9Xis88+Q0RERJtLFxMREdlLlwYZRJ+Sq1ev4uTJk8p2ZGSkxZWkGhoakJOTo4wGaLVaNDU1mdQqaEmr1WLu3LkoKSmxeNzo0aORnp5uNcDQ6XTYvXs3Lly4YLLP29sbK1euhJ+fn8m+c+fOYc+ePTZV8I6KikJERIQy7am5uRnr16/HgwcPVMeNGTMG6enpH31OQHl5Ofbs2WMydWnw4MFITExE//79O9x3fX09jh8/jpMnT6pGhwBg/PjxiIqK6lReBxERUUfYLcgQQgQD+FcAJgIIhr4CeGtSSmlaIpiol3v27Bm2b9+ubIeEhGDu3Llmj9XpdNi6dasqsdvJycnsqk5GQgjMmTMHhw8fNvkgaWRLgNHc3Iz8/Hxcv37dZF///v2RmZlpMqIgpURRURFOnDhhsd+WzyM1NRWhoaFK25s3b/D//t//M/n2PjExEVOnTm2zz96strYWxcXFOHfunCo48/LyQlxcHMaOHdvh/JPm5macO3cOR44cUUbDjIYPH47Y2FgW0iMiom5jlyBDCDEXwB4ALtAX4qswPJocao/rEfUkNTU12LRpk/Lh38/PD6mpqWY/PEopsWfPHtV8eU9PT7x//97qNSIiInDs2DGLdSjGjBmDtLQ0qwFGY2Mj8vLyzFbxHjx4MJYtW2ayolNTUxMKCgpw7do1q/cH6EdBli9frqoEfuPGDWzZskU1tcvZ2RmrVq2yOI3sYyClxKVLl1BUVKQKALRaLcLDwxEREdHhvAgpJW7evImioiIl98coICAAsbGxGD6c3+UQEVH3stdIxv8EoAWQDSBHSml+sjjRR8Y4KmEsXufk5GT2w7rRsWPHcP78eWXb19fX5INia+Hh4Thz5oxJZWaj0NDQNgOM+vp65OTk4NGjRxbPb736VU1NDTZu3GjTClKDBg1CRkaGMudfSokDBw6opo8B+tGSL7744qOu3m1patTw4cORmJhodiqarZ48eYLCwkKT97FPnz6Ijo7GuHHjPomVuYiIqOezV5AxDkCulHK9nfoj6hUOHjxokujt7+9v9tirV6/i0KFDyrafn1+bK0l99tlnuHz5Murq6szuHzlyZJtJ3jU1NVi/fj3Ky8tN9lkqsvf69Wvk5OS0eX+AvsBeUlKSslRuU1MT1q1bZ/JBeMqUKViwYMFH+yG4rq4OxcXFOHv2rMnUqISEBISGhnb4ub99+xYHDx7E1atXVe0uLi6IiIjAtGnT2lyqmIiI6EOy11+lNwCsfx1L9JG5evWqKk8hMjJSlYvQUllZGQoKCpRtX1/fNj/AT5gwAaWlpSbz7Y2GDx+OjIwMqwHGu3fvsH79erx48cJk36xZsxATE2Pywffx48fIzc21eN2WYmJiMGvWLKWPt2/f4ttvvzXJv0hLS0NYWFib/fVGUkpcu3YN+/fvR1VVldKu0Wgwc+bMTk2Nqqurw9GjR3H69GlVsr9Go8HUqVMRGRkJNze3Tj8HIiIie7NXkLELwBw79UXU41VUVNic6P3mzRts3LhR+ZDo6enZ5hSp0aNH49GjRxZzNYYMGYKlS5da/fb6zZs3WLt2rTKVq6WYmBjMnj3bpP3mzZvYunWrxeRyI0dHR6SlpamCqjt37qieJ6D/pv0nP/mJxdGd3u7Vq1fYs2ePajQLAIYNG4bExMQOP2+dTocLFy6guLjYJNgbPXo0YmJiOjXtioiIqKvZK8j4DwBOCSH+EcC/lVJWt3UCUW9VV1eHvLw8mxK96+rqVKMCLi4ubSZ5Dxs2DK9evbJY7G7QoEFYvny5xQriAPDy5UusXbvW7LXmz59vdlWns2fPYs+ePVbvDdAHScuXL1clbpeUlODw4cOq4z7m/IumpiYcPXoUx48fVwVVHh4eiI+P79SqUXfv3sX+/ftNRp+CgoIwb948DBo0qFP3TkRE9CHYq+L3SyFEAoDTALKFELcAVJo/VMbY45pE3UFKiR07digjEY6Ojli6dKnZRG9j9W/jh0WNRmMxedsoKCgIdXV1eP78udn9wcHBWLFihdXpNxUVFVi3bp1qyhKgn7aUkpKC8ePHmzwnS4X5WgsMDFRVMNfpdMjNzTVZsWrixIlITk7+KPMv7t27h927d6tGo4wF9aKioiwm/bflxYsXOHDgAG7fvq1q9/LyQmxsLMLCwj7K15OIiD5O9lrCdiyAYgA+hqZJFg5tu4oXUQ926tQp3LhxQ9lOTk5G3759TY6TUmLv3r24e/eu0qbVai0uQQvoR0QcHR1NCtYZBQYGIjMz0+rIQHl5OdatW2dSc0Or1WLJkiUYNWqUql2n02Hnzp24dOmSxT6NQkJCkJ6ergQ4tbW1+OMf/6gacRFCICkpCZMnT26zv96muroahYWFuHLliqo9KCgICxYs6PCSvLW1tSgpKTFJGHd0dMTs2bMRHh5uddSKiIioJ7LXdKm/A+AH4D8BWAPgqZTSculiol7o0aNHKCoqUranTp1qMZn59OnTOHfunLLt6upqtdieh4cHfHx8zNawAIC+ffti5cqVVr8lf/LkCdavX2+yEpWjoyOWL1+OoUOHqtobGhqwZcsWk2/OzZk2bRri4+OVVaiePXuG77//XjUy4+joiC+++OKjq38hpcTFixdx4MAB1Wvr7OyM2NhYTJ48uUMVy3U6Hc6dO4eSkhKT/zcmTpyI6Ohok8KIREREvYW9goxwAPlSyv9qp/6IepTq6mpVUTnj/Hhzbt26hf379yvbHh4eqlWHWnN2dsbAgQNVIyQteXt7Iysry+oqQo8ePcKGDRtMpmO5uLggMzMTwcHBqvaamhrk5OTgyZMnFvs0io+Px4wZM5Ttq1evIj8/X/Wtu7e3N7766iu4urq22V9v8uLFC+zatctkOd6wsDDEx8fDw8OjQ/3eu3cP+/btM8m7GDJkCObNm/fRBWpERPTpsVeQ0QDggZ36IupRjAX3jEnUrq6uWLJkidmVnZ4/f46tW7cq220FGBqNBqNGjTKZgmPk6emJ7Oxsq99oP3jwADk5OSZTsVxdXZGdnY2AgABV+9u3b7F+/fo2l9B1cHBAenq6agWpAwcOqJbtBfRL6a5YsaJD3+b3VMbE7mPHjqmqlXt7e2PBggUYMWJEh/p9/fo1CgsLUVpaqmr39vbGvHnzOlVLg4iIqCexV5BRAmCanfoi6lEOHz6M+/fvK9tpaWno06ePyXHGCtnG0QRXV1erAQagr4Vx8eJFs/tcXV2RlZUFHx8fs/sB/UpEGzduNFly1t3dHdnZ2ejXr5+q/fnz51i3bl2b9+Xu7o7ly5cjKCgIgD7QWr9+vep1AIDZs2cjJubjWsvh0aNH2LlzJ16+fKm0aTQahIeHY86cOR3Kj2hoaMCRI0dw6tQp1WpUjo6OiIyMxIwZM1hMj4iIPir2+qv2bwGcFkL8OwD/Q7acR0HUi92+fRtHjhxRtiMjI81+i21cScqYBK3Vaq3mYAD6atuWAgxnZ2esXLnSbFK50d27d5Gbm6v60Ar8OPrRukZDWVkZcnJyLFYPN/Lz80NmZqYS3NTV1eGbb74xSfBevHgxxowZY7Wv3qSurg5FRUU4f/68qj04OBhJSUno379/u/uUUuLq1as4cOCAyXLCzLsgIqKPmb2CjP8I4CqAvwHwMyHEJVhewvYndromUZeqrKzEtm3blO1hw4ZhzhzzNSf379+v+pa/5RQbc8LCwixOkXJwcMDy5csxYMAAi+dbCjD69OmDVatWmYx+3LlzB3l5eVZXtwL0H6iXL1+u5H+8fPkS3377Lerr65VjnJ2d8eWXX5qMkvRmN27cwN69e1WBgJOTE2JjY/HZZ591aApTeXk59u7di7KyMlV7cHAwEhISlFEiIiKij5G9gozPW/z3UMOPORIAgwzq8XQ6HfLz85XRCE9PT6SlpZnNO7hw4QLOnDmjbDs4OFitmD18+HDcunXLJEAA9NNyli5disGDB1s831KA4ePjg+zsbHh7e6var169im3btrUZ+ISGhiItLU2ZDnT79m1s3LhRdZ6vry9+9rOfdbgWRE/z/v177N271yTpPiQkBAsWLICXl1e7+6ypqcGhQ4dMRkQ8PDwQGxuL8ePHM++CiIg+evYKMiwFFUS9UklJibKikHFqkLu7u8lxjx49wu7du5VtZ2dn1bf+rQUGBuLZs2cWi/KlpKRYTSo25mC0DjD8/PyQnZ1t8qHY1iren332GRITE5Ug6uTJkygsLFQdM2zYMGRmZn4UCd5SSly6dAn79+9XvV/u7u5ITEzEmDFj2h0I6HQ6nD9/HocOHVJNSdNoNJgxYwYiIyM/yurnRERE5tir4vdDe/RD1BPcv39fVf06KioKgwYNMjmusrISeXl5yjf9Li4uVvMdvL29UVtba1KJ2yghIQHjxo2zeL6lJG9/f3+sWrVKtZyqlBJHjhxBSUmJxf6MYmJiMGvWLAghlIrmrYvzTZ8+HQkJCW321Ru8efMGu3btwr1791TtkyZNQlxcXIeW4X38+DH27NmD8vJyVfuIESMQHx9vkh9DRET0seNyJkQtVFdXIz8/X9keOnQoZs2aZXJcY2MjNm7cqAQMjo6OVgMMFxcXuLi44NmzZ2b3z549G9OnT7d4fnsDjMLCQpw6dcpif4D+G/bk5GRMmDABANDc3Iw1a9aY5BAkJSVhypQpVvvqDXQ6Hc6ePYuDBw+qclN8fHywcOFCk2KFtqiurkZRUZFJUObj44P4+HiEhIRwahQREX2SGGQQGUgpUVBQoCzv6ubmhtTUVJPpQVJK7Ny5UxUwWEuo1mq16N+/Px4+ND/gN2nSJERHR1s8/969ezYHGDqdDrt378aFCxcsP1Hog6KMjAxlalZdXR3+8Ic/4O3bt6r7zsrKspof0lu8ePECO3fuVAVQQgjMmDEDUVFR7V6W1litu7i4WBVcOjg4YPbs2Zg1axaXpCUiok8a/woSGZw8eRJ37txRtlNTU80uL3rmzBn88MMPyrZxmpElQ4cOVfXbUmhoKJKSkix+2/3w4UPk5ubaHGAUFBSo7s0cV1dXrFixQqkC/vr1a3zzzTeq3ARXV1d89dVXJknkvY1Op8OJEydQUlKiymPp27cvFi1a1KEVnh4/fozdu3ebjEqNGjUK8fHxVuuaEBERfSoYZBABePLkCQ4ePKhsz5w502wC9sOHD1UJ0W2tJBUSEoJbt26Z3Td48GCkp6dbTKQ21rVo3X/fvn2RnZ2tCjCampqwdetW3Lx50+K9AICXl5eq/sajR4+wdu1a1QdwPz8//OxnP+v1ScrPnz/H9u3b8fTpU6VNo9EgIiICERER0Gq17eqvpqYGBw8eNBkl8vHxQWJiIkaOHGmX+yYiIvoYMMigT15dXR22bNmiJHAHBQWZnb70/v17bN68WTnO0dHR6jSpoUOHWgww+vfvj2XLllmcUvP06VNs2LDBZBUqcwFGY2MjNm3ahLt371p9nv7+/li5cqVSrfzKlSsoKChQjcIMHToUK1eu7NUrSOl0Ohw/fhyHDx9WBU8DBgxAcnJyu4vqGVeiKioqQk1NjdLu4OCAiIgIzJw5k1OjiIiIWuFfRvqkSSmxe/duJRfB2dkZ6enpJt9yNzc3Iy8vT0n0dnBwsBpgBAQEKEvgttanTx9kZmZarDVRUVGB9evXmyyF6+/vbxJg1NXVITc31+K1jIKCgrBixQqlyF5xcbGqkjkATJ482erUrd6goqIC27dvV63ypNVqMXfuXMycObPdwVNFRQV2795tkgwfEhKCxMTEXj+djIiIqKswyKBP2pUrV3D16lVle+HChWbn1O/fvx+PHz9Wtq1NkfL09ERlZaXZYnsuLi5YsWKF2VwPQJ+gvHbtWqUIoJGfn59JDkZtbS3Wr1+vmg5kzvDhw5GRkQEnJydIKbFt2zaTvI3Y2Fizq2j1FjqdDseOHcPhw4dVxQMHDBiAlJQUZXqYrRoaGlBSUoJTp06pRnr69OmDxMREjBo1ym73TkRE9DGyS5AhhLgM4PcA1ksp39ujT6Ku9ubNG1WhukmTJmHs2LEmx12+fBlnz561qU9HR0doNBqTIAHQf6O+dOlS9OvXz+y5r1+/xtq1a1VTcoAfK3m3DDBqamqwbt06i0viGo0dOxapqanQarXQ6XRYu3atapUrIQSWLFmC0aNH2/T8eqIXL16goKBAFWx1ZvTi5s2b2Lt3L969e6e0aTQazJw5ExEREXBycrLbvRMREX2s7DWSMQbAPwD4n0KIjQD+IKU8Z6e+iexOp9Nh27ZtSs6Dr6+v2WJz5eXl2LVrl7Kt0WhU35S3JISAr68vKioqzO5PSUnBkCFDzO57+/Yt1q5dqyyfa9SnTx+TSt7V1dVYu3Ytnj9/bvU5Tp48GQsWLIBGo0FjYyP++Mc/4sWLF8p+BwcHfPHFFxgwYIDVfnoqnU6HU6dO4dChQ6pRo6CgICxatKjdoxeVlZXYu3cvSktLVe1DhgzB/Pnz290fERHRp8xeQUYwgJ8A+Knh8UshxEUAfwCQI6U0X+KYqJscO3ZMmWcvhEBaWprJN9S1tbXIy8tTpka1tZJUUFCQakpVS7GxsQgLCzO7r6qqCuvWrUNlZaWq3dPTE9nZ2ap5/+/fv8fatWvx8uVLq88vPDwccXFxEEKguroav//971UBjIuLC77++mslCby3ef36NQoKClS5Eh0dvdDpdDh9+jSKi4tVeTZubm6YN28exo8f36vzVIiIiLqDXYIMKWUFgP8G4L8JIeIBfAVgIfRTqP63EGIDgG+klJfscT2iznjy5AkOHz6sbM+ZM8ekXoKxMJ8xIVyr1VoNMIKDgy0GGFOnTsXMmTPN7jPmVbx+/VrV7u7ujuzsbPj6+ipt7969w9q1a/Hq1Surzy8qKgoREREQQuDVq1f45ptvVKtU9enTB19//bXFxPOeTEqJc+fO4cCBA6qAICAgAKmpqRanolny5MkT7Nq1y2Ta2aRJkxAXFwdXV1e73DcREdGnxu6J31LK/QD2CyH6Qz+q8RMAPwfwcyHEWegDj41Syjor3RB1iYaGBuTn5ytTngYOHIiIiAiT406cOKFaftZcErdRv379LAYYo0aNQkJCgtlvwhsaGpCTk2MyvcrNzQ3Z2dnw9/dX2iorK7FmzRq8efPG6vNLTEzEtGnTAOjrbKxZs0Z17wEBAfjpT3/a7hoRPcG7d++wfft23Lt3T2kTQiAyMrLddS/q6+tx6NAhnDlzRtXer18/LFiwAIMGDbLbfRMREX2Kumx1KSllhRDibwFcgz5fIwjANABTAfwvIcTfSCl/3VXXJzJn//79yqiBk5MTUlNTTabWPHr0SFWYzxoPDw+LH/yDgoIsFttramrCpk2bTIITFxcXZGVlqb6Rf/v2LdasWaOMqpgjhMCiRYswYcIEAPrk5by8PNXKSCNGjMCKFSt63dQfKSWuXr2KPXv2oK7ux+8m+vbti5SUlHbnlJSWlmLPnj2qxG4HBwfMmTMH4eHhvTIAIyIi6mm6JMgQQgThx/yMIAA6ADsAfAdgMoCvAfwfIYSflPKvuuIeiFq7efOmqlpzYmKiyXK11dXV2LJli/Lh3Fqit7EAm7l6GX369MGyZcvg6Ohosk+n02Hr1q2qb+QB/cpUmZmZCAgIUNrevn2L1atXm+RrtKTRaLB48WJlhagLFy5g586dqmMmT56MhQsXWuyjp6qtrcXu3btx7do1VfvMmTMRFRXVriJ479+/x969e3Hjxg1V+/Dhw7FgwQKzSxcTERFRx9gtyBD6r0cToZ8alWjo25ir8Y2U0pihuUMI8X8AHIQ+CGGQQV2uqqpK9cF7zJgxyrf+RsYVp96/16/CbC3AAAAvLy+TXApAX9BvxYoVqiVnjaSU2LFjB27evKlq12q1WL58OYKDg5U2WwIM47K4I0eOBAAcPXoUhw4dUh0TFRWFyMhIi330VHfu3MH27dtVCeve3t5ISUnB4MGDbe5HSonz58+jqKhIVeDQzc0NCQkJCAsL63WjO0RERD2dvepk/BX0AcNAAALAEQC/A5AvpTTJlpVSvhdC7ATwS3tcn8gaKSV27typ1J/w9PQ0W9n66NGjuHv3rrJtLcDo27evajlYIyEEFi9ebDYBWUqJffv24fLlyybnLFmyBEOHDlXajFOkrAUYDg4OWL58OYYNGwYA2LdvH06fPq06ZuHChZg8ebLFPnqixsZGFBYW4tw59SrYkyZNQnx8PJydnW3u6+XLl9i5c6dJRfSJEyciLi5OqYBORERE9mWvkYxfAXgHfWDxT1LK6zaccx7AWjtdn8iiS5cuqZK4U1JSTFYNunfvHkpKSmzqz8/Pz2yAAeinYI0YMcLsvqNHj5okGgNAamqqqoK0McnbWg6Gk5MTVqxYgcGDB0NKia1bt6qmFAkhkJGRgdDQUJueU0/x9OlT5Ofnq1bQcnd3x8KFC9tVZbu5uRknTpzA4cOHVYnvvr6+SEpKUgV0REREZH/2CjK+BrChPfUwpJR7AOxp80CiTqisrMT+/fuV7WnTpinf/Bu9f/8e+fn5yrYQQpUw3ZKHh4fFJWRnzJiBqVOnmt13/vx5FBcXm7QnJSVh3LhxqvttK8BwdnbGypUrERwcDCkl1q1bh/v37yv7NRoNVq1a1atWSNLpdDh+/DhKSkpUI0ihoaFISkqCu7u7zX09ffoUO3bsUK3aZazYPWfOnHblcRAREVHH2KtOxjf26IfInoz5D8Z5+L6+voiNjVUdY0zCrq7Wx8dtJXq3nNPfUkhICOLi4szuu3HjhqpquFFsbCymTJmibL97967NZWpdXV2RlZWFwMBANDc349tvv1XVeHBwcMBPf/pT9O/f32IfPc3bt2+xbds21ZQmJycnJCQkYOLEiTbnSzQ2NqK4uBinTp1SBYmBgYFITk5WJdQTERFR1+JXevTROnfunLKCkxACKSkpJqs9HT16FA8fPlS2reVhuLq6KknhLQUEBFhcqvbBgwfYsmWLSXtERARmzZqlbL979w6rV6+2GmAYC/T169cPjY2N+MMf/qAaVeltVbyllPjhhx+wZ88eVfAWHByM1NRUVSHCtjx48AA7duxQvX4ODg6IiorCjBkz2lUBnIiIiDqvQ0GGEOJe20eZJaWUwzt4LpHN3rx5gwMHDijb4eHhGDhwoOqYhw8fqip/W+Pr62t2JSkPDw8sX74cTk5OJvuePXuGjRs3mgQuU6ZMQVRUlLJdVVWFtWvXthlgrFq1Cn379kV9fT1+97vfqeo8eHh44E/+5E96TSJzXV0ddu/ejatXryptxsJ6kZGRNgcF9fX1OHDgAM6fP69qHzp0KJKSktoVqBAREZH9dHQkQwOg9aR1JwCBhv9uBvASgD8AY2WrcgANHbwekc2klCgoKFDqV/Tt21f1oR7Q11/Iz8+3mHvRkre3t9kAw7h8rJeXl8m+N2/eYMOGDSbTq0aPHo358+crU4Bqamqwbt06i3kegD6AWLVqFfz9/VFTU4Pf/e53yvQu4/39yZ/8idlApyd69OgR8vPzVStn+fj4IC0tTbWEb1vu3LmDnTt3qoItFxcXzJs3r13TrIiIiMj+OhRkSCmHtNwWQngBKALwEMC/B3BMStkshNACiADwt9AHJrEg6mKnTp1S5vcbp0m1TPY15moYP5xaS/R2dXW1mISdnJxs9kNxdXU11q9fr6rvAOi/XU9LS1O+pa+rq8O6devw/Plzi8+lZYDx7t07/NM//ZNJ1euvvvqqVyQz63Q6HD16FIcPH1a93hMnTkRCQoLNS9PW1taisLAQly5dUrWPGjUKCxYsgKenpz1vm4iIiDrAXp9M/gaAN4AwKaUyWiGlbAZQIoSIAvCD4bg/tdM1iUy8fPlSVYwuIiICAwYMUB1z7tw5VTE8SwGGRqNBQ4P5wbeZM2di/PjxJu0NDQ3YsGGDychHYGAgli5dqgQD9fX1WL9+vSppuzVPT0+sWrUKfn5+eP36NX7/+9+rqosHBQXhyy+/7BX5BuaSu11cXLBw4UKMGTPG5n5KS0uxa9cuVQDn6uqK+fPnY+zYsRy9ICIi6iHsFWSkAshtGWC0JKWsE0JsB7AMDDKoi+h0OhQUFKCpSV//MSAgwKTSdUVFhWpJW2ucnZ1RW1tr0j5y5EjExMSYvf6WLVtQXl6uavf19UVmZqbyTX1DQwNycnLw5MkTi9duGWBUVFTg22+/VZ4XoB8VycrK6hUfqq9du4adO3eqpo4NHjwYqampNiep19bWYt++fbhy5YqqfezYsUhMTGzXErdERETU9ewVZPgBcGzjGEfDcURd4uTJk8oHd41Gg5SUFGi1WmV/Y2MjtmzZoirOZomnp6fZlaT8/f3NriQlpcTu3btx+/ZtVbuHhwdWrlypfAhuamrCpk2bTCpQt+Tl5YVVq1bB19cXT58+xXfffae651GjRmHp0qU9PsBoaGjA3r17VdOahBCYO3cuZs+ebfMIjLnRC3d3dyxYsACjR4+2920TERGRHdgryLgLYLEQ4q+llJWtdwohfAAsBtDRVamIrHr16pWqYvecOXNMakXs27cPL1++bLMvd3d3swGGi4sLli9fbjZ34OjRo7hw4YKqzVg0z8fHB4C+CnVeXp6yrK45xhEMX19flJWVYfXq1arVqSZMmICUlJQ2n0N3q6iowJYtW1Svt7e3N9LT021O7rY0ejFu3DgkJiaaVG0nIiKinsNeQcbvAfwGwBkhxN8AOAKgAkB/AHMA/CWAAOhzMojsSkqJnTt3qqZJtaxBAQDXr183CQLMcXR0VK3cZCSEwJIlS8wuiXrp0iWTat5arRbLli1TAh2dTodt27aZjHS0ZEzy9vX1xYMHD7B27VpVvsi0adOQmJjY5nPoTlJKnDt3Dvv371eNvowbNw7z58+Hi4uLTf3cunULO3fuNBm9SEpKQmhoqN3vm4iIiOzLXhW//0EIMRLAvwDwvZlDBIDfSil/Z4/rEbV0/vx5paCeEALJycmqaVLv3r3Dzp07berLUhJ4fHw8hg0bZtJ+9+5d7Nixw6Q9NTUVQ4YMUfrctWsXrl27ZvG6xjoYfn5+uHv3LjZs2KC6l/DwcMybN8+m59BdamtrsXPnTty4cUNpc3R0xPz58zFhwgSbpnfV1dVh//79JitHjRs3DgkJCb2mDggREdGnzm7rXkop/0wIsRHAlwAmAegDoBLABQCrpZQn7HUtIqN3796piu7NnDkTgYGByraUEtu3b1ct+2qJm5sbampqTNonTJiAadOmmbQ/e/YMmzZtMglM5s2bh7FjxyrXP3DgAC5evGj1utnZ2fD390dpaalJnxEREYiOjm7z/rtTWVkZtm7dqqp90b9/fyxevBj+/v429XHv3j1s375dVfeCoxdERES9k10X15dSngRw0p59ElliHCEwLjPr5+eHOXPmqI45ffq01RwII0sBRmBgIBYsWGDyLXxlZSVycnJUS8oCwPTp0xEeHq5sHz16FCdPWv6VcHV1RVZWFvr164dr165hy5Ytqv1RUVEmK2T1JFJKHD9+HIcOHVIFRlOnTsW8efNsqt/R0NCAoqIinD17VtUeFhaGxMREjl4QERH1Qj2/gheRBVevXlXlOCQnJ8PR8cdFzp4/f46ioqI2+3F0dDQbYLi5uWHp0qWqPgF9jYucnByT5PAxY8YgPj5e2T59+rRJrkZLLi4uyMrKQkBAAH744Qfk5+er9sfFxWHmzJlt3n93qa6uRkFBAe7cuaO0ubi4YNGiRTaPPDx69AgFBQV48+aN0ubq6ooFCxYoo0FERETU+9g1yBBCzADwU+inS3lDP13qPIDvOV2K7Km6uhp79+5VtqdOnYpBgwYp201NTcjPz7dpudrWoxGAPrdj8eLFJnUcjLUwWlfpNtZ9MI54XL58Gfv27bN4TePKU4GBgWYDjMTERLNTtHqKhw8fYuvWrapAa+DAgUhPT7ep9kVTUxOKi4tx4oT6n4VRo0YhKSkJHh4edr9nIiIi+nDsFmQIIf4rgH8PfZJ3SxMBfCmE+B9Syv9gr+vRp23fvn1KoTwvLy+T4niHDh1CRUVFm/04OjqaDTLi4uIwdOhQVZuUEnv37lV9cw8Affv2VVXzvnHjBrZv3271mpmZmQgKCjIbYCxcuBCTJ09u8967g5QSx44dQ3FxsWp61KxZsxAVFaVKuLekoqIC+fn5qkDN2dkZCQkJNieIExERUc9mlyBDCLEEwH8A8BDAfwFwCEA5gEAA0QD+CsBfCCEuSSnz7HFN+nSVlpbi6tWrynZSUpKqdsX9+/et5kEYOTs7q6pQG40bNw4zZswwaT99+jTOnTunavPw8EBmZqZSs+HBgwfYunWrxVWqHBwcsHz5cgwcOBBXrlzBtm3bVPuTk5MxadKkNu+9O1RXV2Pbtm24e/eu0ubq6orU1FSMHDmyzfN1Oh1OnjyJ4uJi1QjTsGHDkJycbHP1byIiIur57DWS8S+gr4sxVUrZstrZAwDfCSF2ALgK4J8BYJBBHVZfX4/du3cr2+PHj1d9wK2trUVBQUGb/Tg4OJgNMPr374+FCxeafJteWlqK/fv3q9ocHR2xfPly5cPxs2fPsHHjRotTtDQaDTIyMjB06NBeF2A8evQIW7Zs6fD0qDdv3qCgoEBV6dzBwQFxcXGYOnUqRy+IiIg+MvYKMiYAWNsqwFBIKV8KITYDyLbT9egTdejQIeWDrru7uyrRGgD27NmjWgLVEmPhvpZcXV3NJnqXl5ebrPoEAOnp6RgwYAAA4PXr11i/fr3ZwAXQ53ikp6dj5MiRvSrAkFLi5MmTKCoq6tD0KCklLl26hH379imrgAHAgAEDkJqaavPytkRERNS72CvIcABgujyPWo29rieECAbwnwEkAPCDfmpWAYBfSSnfWDnVWp+RAIoBaAD8jZTyP9rjXsl+nj59qlrmND4+XrW86dWrV1XTqCxxcHAwG2SkpaXBx8dH1fbu3Tvk5uaaHB8fH49Ro0YBAKqqqrB+/XqzlcKNkpOTMWbMGLMBxqJFizBx4sQ27/tDq6urw/bt23Hz5k2lrT3To2pqarBz507V+UIIREREIDIy0qb8DSIiIuqd7BVk3AWQJIT491JKXeudQggNgPmG4zpFCDEcwAkA/QBsB3ATwDQAfwYgQQgxS0r5qp19egJYA30gxGVteiCdToddu3Yp36YPGzYMYWFhyv6qqirs2bOnzX6cnJxU36gbRUZGYsSIEaq2hoYG5ObmmixVO3XqVEyfPh2A/oP4hg0bVEuwtjZ//nxMnDgRV69e7TUBRnl5OTZv3qx6XsHBwWZX3DLnzp072L59O6qqqpQ2X19fpKWlISgoqEvumYiIiHoOewUZOQD+G4DtQoh/LaVUihcYgoL/BWAMgL+0w7V+B32A8adSyt+2uM7fAfhXAP4GwNft7PPvoa9Q/reG86mHOXPmDMrLywHoRyJaFsiTUmLnzp3KalOWaLVaswHG8OHDTYr4SSmxbds2PHv2TNU+cuRIJCQkQAiBpqYmbNy40eSYlmJjYzF16lRcv34dW7duVe3riQGGlBIXLlzA3r17Vbkl06dPR1xcXJujD42NjSgqKsKZM2dU7Z999hni4uLg5OTUJfdNREREPYu9goy/g37q0gIAiUKIp9BPYQoAEAT9FKRjhuM6zBCwzIM+ofwfW+3+awBfAcgSQvy5lNLy3BV1n4sAfAEgCyxO2CO9e/dOVdQuIiICvr6+yvbly5dx69atNvsxl5Dt5eWFtLQ0aDQaVXtxcbFqmg8ABAQEYPHixdBoNNDpdNi6dSsePnxo8XoRERGYNWsWbt26hc2bN6v29cQAo7GxEbt378bly5eVNicnJyQnJ9tUGO/Zs2fIz8/HixcvlDZ3d3csWrTIpulVRERE9PGwy4dqKWWDECIOwL8B8CWA4QCCDbvvAvgOwP+WUpoWJGifKMNjYetpWVLK90KI49AHITMAHGyrMyFEPwB/BFAgpVwvhPi8k/dHXWDv3r3KCIS/vz9mzZql7KusrLRa9M7IGBi0bluyZIkqrwMAfvjhBxw9elTV5unpieXLl8PJyQlSSuzZs8ckCGnps88+Q1RUFO7cuYONGzeq9iUlJfW4AOP169fIy8tT1Rbp168fMjIy4OfnZ/VcY3L4oUOHVIFcSEgIkpOT4e7u3mX3TURERD2T3b65NwQQfwvgb4UQHtBPP6qUUlZZP7NdRhkeLX1tfRv6ICMENgQZ0AcYGrR/ehV9IKWlpaoP80lJScqUHeM0KUsrOhlZSvSeN28egoODVW1PnjwxKaRnXKrWy8sLAHDs2DGcP3/e4vXCwsIwf/58PHz4EDk5OapVmRITEzFlyhSr9/uhlZaWYtu2barXccKECViwYIHJSlutvX//HgUFBbh3757S5uDggPj4eEyZMoVL0xIREX2iumR6kCGwsGdwYWTMOK20sN/Y7t1WR0KILwEkA1gqpWy7NLTlfix92gztaJ+k19DQoErmnjRpEgYPHqxsnz9/XlUYzhxj7kRrYWFhmDZtmqrNuJJU62lVqampCAwMBKCfmnXo0CGL1xsxYgRSUlJQVlaGtWvXqgKMefPmmVyzO+l0OpSUlKhGbbRaLRITEzF58uQ2A4TS0lLs2LEDNTU/LiwXGBiItLQ0Lk1LRET0ibNrkGEYwUgFMAmGkQwAFwFss/OIRqcIIYYA+DWAzaxA3nOVlJQoNS/c3NwQGxur7Hvz5g0KCwvb7MNc5W1/f3+TgnuNjY3YtGmTyTK00dHRGD16NADg7t272LFjh8VrDRw4EBkZGSgvL8eaNWtU146OjkZ4eHib9/uh1NTUYOvWraoRCC8vL2RkZLS5+lNjYyMOHDigWk4YAGbPno25c+dyaVoiIiKyX5AhhFgC4PfQjyK0/ApUAvi1EOLnUkrTimbtYxypsLSGprH9bRv9fAegFsAvOnk/kFKanftiGOGY3Nn+P1XPnj3DqVOnlO158+YpuRNSSmzfvh2NjdZTfLRarcmohKOjIzIyMlSrHEkpsWPHDjx9+lR17Lhx4zB79mwA+iVd8/LyTPI6jPr3748VK1bg9evX+P7771XHzZ07FxERETY86w/j6dOnyMvLQ2XljwOCw4YNQ3p6ukl+SmsVFRXYunWrKrnb09MTaWlpGDJkSFfdMhEREfUy9iqOFwcgF4AOwFoAJQCeQb+6VBSAFQByhRBvpZRFnbhUqeExxMJ+4xI2bS01NBn6gOSFhSkhfymE+EsA26WUKe29SeocKSV2796tjAQMHToU48ePV/afPn3a6qpOgD6p29xqUgsWLEDfvn1VbUePHjUp4hccHIzk5GQIIfD27Vvk5OSYXf4WAHx8fLBy5UrU1NTg22+/VQUYs2fPNlketztdunQJu3btUr02ERERmDt3rskKWy1JKXH27FkUFhaqzg0NDcXChQvbDE6IiIjo02KvkYz/BKAeQISU8kKrfWuEEP8A4IjhuM4EGcZ1TOcJITQtV5gyFNSbBX1BvVPmTm5hLQBzn4pGAogEcAnAeeinetEHdunSJTx+/BiAfjSiZU2M169f4+DBtnP6zY04TJgwARMmTFC1lZaWqpbHBfTThpYuXQoHBwfU1tZiw4YNqqJyLXl4eCArKwvNzc34/e9/r8r/mD59OmJiYtq81w+hubkZ+/btw7lz55Q2Z2dnpKamKpXLLampqcGOHTtQWlqqtDk4OCAhIcGm3A0iIiL69NgryJgEYJOZAAMAIKU8J4TIA7C4MxeRUt4VQhRCv4LUPwPw2xa7fwXAHcAfWtbIEEKEGs692aKfPzXXv2EJ20gAu6WU/7Ez90odU1tbi6KiH+PQ8PBwZQlV42pS5hK52+Lv74/58+er2l6+fIn8/HxVm3ElKQ8PD6XY3suXL8326ezsjMzMTDg7O+M3v/mNavrWxIkTkZCQ0O777ApVVVXIy8tDWVmZ0ta3b18sXbq0zeVpHzx4gPz8fFXV8/79+yM9Pd1kRIiIiIjIyF5BRj30xfeseWo4rrN+AeAEgN8IIWIA3AAwHfppWbdgWlX8huGRX7f2AsXFxcpqRV5eXqpchgsXLuDBgwdWzzdXD8PBwQGLFy9W5WHU1dVh48aNJlOgUlNTERAQACklCgoK8OjRI7PX0Wq1WLZsGXx8fPCb3/xGtfzr6NGjsWjRIpueb1crKytDXl6eaiRmzJgxWLRokdXq2zqdDkeOHMGRI0dUCezTp09HbGwsHBxYt5KIiIgss9cnhaPQT1WyZhb0U6Y6xTCa8RmA/wx9lfH50Ac4fw/gV1LKN529BnWPZ8+eqabzxMfHKx+E3717Z9NqUuamSSUkJKB///7KtpQS27Ztw6tXr1THRUVFKStJHTp0CNeuXbN4nbS0NAQFBeG3v/2tagnX4cOHY8mSJW3e54dw/vx57NmzR3lNhBCIiYnBzJkzrU5xevfuHfLz81V5L66urkhJSUFIiKV0KCIiIqIf2SvI+AsAJ4UQ/x3Af2k1XckdwF8DCAMw0x4Xk1KWAfjCxmNtHsGQUq4GsLpjd0WdYayibfzWfNiwYcoHfikldu3aZTHx2pqwsDBMnqxe5KukpAS3bqnXBhgzZowyanLx4kUcO3bMYp+JiYkICQnB7373O9U0ooEDByIzM7PbcxSam5uxd+9eVcFAV1dXpKenY/jw4VbPLS0txfbt21FbW6u0DR48GGlpaUoxQiIiIqK2dCjIEEJ8Z6b5CoD/D8BXQogLACoA9MePKzkdAfBvAfykY7dKH7PLly8rOQMajQaJiYnKh/WrV6/i9u3bVs8XQpjUxPD19UVSUpLqQ/+NGzdw5Ih6QK1fv35YtGgRhBC4d+8edu3aZfE6ERERmDp1Kv7whz/gzZsfB8369++PL774otsDjKqqKmzevFk1zSsgIAAZGRnw8fGxeF5zczOKiopUywYLITBnzhxERERYXXmKiIiIqLWOjmR8bmWfN4BoM+1zoE+qZpBBKnV1dSbJ3saK0dXV1di7d6/V880FGFqtFosXL4azs7PS9uLFC2zbtk11nKurK5YtWwYnJyc8f/7cai2MiRMnYu7cuVizZg0qKn4sEu/r64uvvvqq2wOMp0+fYtOmTUoBQ0A/kpOcnAxHR0eL57158wZbt27FkydPlDYvLy+kpaWpKqwTERER2aqjQcZQu94FfdKKi4uVStteXl6IjIxU9u3bt081dcccc1W94+LiEBgYqGzX1dUhNzdXtQKUEAKLFy+Gj48PqqqqkJOTo0rgbikkJAQLFy7E5s2bVbkKnp6e+Prrr7v9m/4ffvgBO3bsUK28FRsb22b+xY0bN7B9+3bV8w4JCcGiRYtY+4KIiIg6rENBhpTSeiU0IhtVVFTg7Nmzyva8efOUZO/S0lKTInm2CAkJwbRp05RtY6J3y+lNxmsNGzYMjY2NyM3NVVXAbmnAgAFIT0/Hnj17cPOmshIyXF1d8Ytf/MLqKEFX0+l0OHjwIE6cOKG0OTs7Iz09HSNHjrR4XlNTEwoLC1WvvUajQWxsLGbMmNHtozJERETUu3EdSuo2rZO9hw4dijFjxgDQjzxYy40AzE+T8vDwUCp1Gx09etQk0XvChAmYPn26EoA8ffrU7DW8vb2xYsUKHD9+XJVI7ejoiD/5kz+Bi4uL7U/Yzurq6rB161bcuXNHafP398eyZcus1r94/fo1tmzZgvLyH1ed7tOnDxYvXozg4OAuvWciIiL6NDDIoG5z9epVJUG5dbL3gQMHLFbZNjI3TSolJQXu7u7K9p07d0wqegcFBSkJ4QcPHsSNGzdadwNAP1KRmZmJq1evqpLFtVotfv7zn8PT09O2J9oFXr16ZVIoMCQkBKmpqVYDH3PTo0JDQ5GcnAxXV9cuvWciIiL6dDDIoG7R0NCAAwcOKNvTp09XKkg/fPgQFy6YLR5vVXh4uGqJ1rdv32Lr1q2qY9zd3ZGRkQEHBwdcuXLF4lK1xmJ75eXl2Ldvn9IuhMAXX3zRZqXsrnTv3j1s3rwZdXV1Stvs2bMRHR1tcZqTudWjNBoN5s2bh2nTpnF6FBEREdkVgwzqFidOnFBqTLi7u2POnDkA9B+G25omZU5gYCBiYmKU7aamJuTl5ak+iAshsGTJEnh5eaGsrAw7duyw2F9aWhqampqQn5+vas/MzERQUFC7789ezpw5g3379imjOA4ODkhOTsa4ceMsnlNZWYktW7bg8ePHSpu3tzcWL17crc+FiIiIPl4MMuiDq6ysxPHjx5Xt6OhoZanZ48ePq6YA2cLR0RHp6enQarVK2969e1U5B4B+xanBgwfj7du32LRpE5qbm832N2/ePPj5+eGbb75RtdtSzK6rNDc3Y9++faqK6B4eHli2bJnVQOH27dvYtm2baoWuUaNGYdGiRZweRURERF2GQQZ9cEVFRcpSqwEBAZg4cSIAfZ5B60J5tkhMTFRNX7p48aLJdKuxY8dixowZqK+vR25urrJkbmvTpk3D6NGj8Y//+I+qehkJCQkICwtr973ZQ01NDTZv3owHDx4obQMGDMDSpUstVuHW6XQoKSnB0aNHlTYhBGJjYxEeHs7pUURERNSlGGTQB1VWVqZaljYhIQEajQZSSuzevdvi6IIlY8aMUYIUACgvLzeZbtW3b18kJydDSon8/Hw8f/7cbF+jRo3CnDlz8Nvf/lZVb2LWrFmYPn16u+7LXl6+fImcnBzV8rttFdirrq7G1q1bcf/+faXN09MTixcvxqBBg7r8nomIiIgYZNAHI6VUJVGPGTNGqSh95coV1YdiW3h5eSmrRAFAbW0tNm3apBqBcHZ2xtKlS+Hk5IQDBw6YLGVrFBgYiOTkZHzzzTeqPI6wsDDExsa2677sxVyCd1RUFCIiIiyORJSVlWHz5s1KvgsADBs2DGlpaapVt4iIiIi6EoMM+mCuXLmi1KPQarXKh/eamhoUFha2u7/U1FQlr0BKie3bt5sU1EtJSYGfnx8uXbqkKljXkpeXF5YtW4Z169apzh88eDDS0tLafV/2cP78eezevVuV4J2WlobRo0ebPV5KiTNnzqCwsFAVZM2ZMweRkZHdXpGciIiIPi0MMuiDaGhoQFFRkbIdHh4OHx8fAPqaGDU1Ne3qLzw8HEOGDFG2T548idLSUtUxs2fPRmhoKB4/fmxxxSonJycsX74cO3fuxLNnz5R2f39/rFq16oPnLuh0Ohw4cEC11KynpyeWLVuGAQMGmD2noaEBO3fuVE1Dc3V1RVpaGkaMGNHl90xERETUGoMM+iCOHTumFNfz8PDA7NmzAQAPHjzApUuX2tVX3759ER0drWyXlZWpam4A+ilCUVFReP/+vcWVpIQQSE9Px9mzZ1VVsz08PPDVV1998ACjvr4e+fn5qildgYGBWLZsmcUE75cvX2LTpk2qFbkGDBiAJUuWwNvbu6tvmYiIiMgsBhnU5d6+fYuTJ08q2zExMXB2dkZTU1O7a2JoNBqkpaXBwUH/v65x5aWWPD09kZaWBp1Oh02bNlmsHB4fH4/nz5+rVqJydnbGL37xC4tJ1V2lsrISubm5qKioUNpCQ0ORmpoKJycns+dcv34d27dvR0NDg9I2ZcoUJCQkKK8PERERUXfgJxHqci2XrA0MDMSECRMA6GtivHr1ql19RUdHIyAgAIA+D2Hbtm2qJGeNRoMlS5bAzc0N27dvx5MnT8z2M3XqVHh4eGDLli1Km1arxc9//vMPXj/i6dOnyM3NVQVDs2bNQkxMjNnRFJ1Oh0OHDqlqjTg4OGDBggWqlbaIiIiIuguDDOpSZWVluHbtmrKdkJAAIQTevHmDY8eOtauvQYMGITw8XNk+fvy4apoTAMTGxmLgwIE4efIkLl++bLafESNGICwsDKtXr1bahBBYtWqVkifyoZSWlmLr1q1obGwEoA+SkpKSMGnSJLPH19TUYMuWLaqVuHx8fJCRkaEEX0RERETdjUEGdRkppSpXYuzYsUqdhn379qlqUbTFyckJqampyipJDx8+xMGDB1XHhIaGYsaMGbh7965JjoZRv379EBcXh2+++UZZuQkA0tLSMHDgQJvvxx5Onz6tWtLXxcUFGRkZGDp0qNnjnz59iry8PNUKWCNHjlStskVERETUEzDIoC5z8+ZNlJWVAdB/Qx8TEwNA/+29pXoVliQmJiqJzNXV1SZ5GN7e3li0aBHevHmDLVu2qAIIIzc3N6SmpuL7779XJYJHR0d/0GreOp0O+/fvx5kzZ5Q2b29vZGZmwt/f3+w5Fy9eNClWOGfOHMyZM4fVu4mIiKjHYZBBXaK5uVm1ZO3UqVPh4+ODxsZG1bf3tggNDVXyOIx5GNXV1cp+rVaLjIwMCCGwceNGVfE6I41Gg8WLFyMvL0+1f9KkSYiIiGjv0+uwhoYGbN26VRVkBQcHY9myZWaL5TU3N2Pv3r04f/680ubs7Iy0tDSEhIR8kHsmIiIiai8GGdQlzp8/j9evXwPQfyiOjIwEoF/K9u3btzb34+bmpqrqffz4cdy9e1d1TEJCAgICArB582a8ePHCbD/z589HcXEx3rx5o7QNHjwYycnJ7XlanVJVVYWcnByUl5crbWPGjEFKSorZ1ayqqqqQl5enjAYB+uleS5cuha+v7we5ZyIiIqKOYJBBdldfX4/Dhw8r2xEREXBzc8Pr169VKyLZIikpSfmG//HjxyZ5GOPGjcOUKVNw/Phx3Lhxw2wf06dPR1lZmerDuq+vL1atWtWue+mMFy9eYMOGDap8CmsrSD158gSbNm1SrZw1duxYJCcnW1zSloiIiKinYJBBdnfs2DGlgnefPn0wffp0SCmxd+9es0XxLBk3bhxGjx4NAKirq1MtNwvoq3InJSXh3r17OHTokNk+hg8fDg8PD5w+fVppc3V1xc9//vMPlsvw8OFD1TQuIQQWLFiAKVOmmD2+df6FEAIxMTGYOXMm8y+IiIioV2CQQXb17t07nDp1StmOjo6Gg4MDbt68abLcrDXu7u5ITEwEoM/D2Llzp2oUQKvVYsmSJaipqcHWrVvNJnr7+/tjwoQJyM/PV9ocHBzw9ddff7DRgKtXr6KgoEAJGBwdHbFkyRKMHDnS5Njm5mbs378fZ8+eVdpcXFywePFiDB8+/IPcLxEREZE9MMgguyouLlYV3hs3bhwaGhraney9cOFCZVnWCxcu4Pr166r9iYmJ8PHxwffff4/a2lqT811cXBAXF4dNmzYpbcZaGF5eXu19Wu0mpcSJEydUye/u7u5YsWIFBgwYYHK8ccWshw8fKm3MvyAiIqLeikEG2U1FRQUuXbqkbMfFxUEIgaNHj6pGIdoyYcIEjBo1CgDw/Plz7N27V7V/7NixmDRpEnbs2KFKojYSQiA5ORlbt26FTqdT2lNSUhAcHNzOZ9V+Op0O+/btU41I+Pv7IzMzU1mGt6Vnz55h48aNqtdozJgxWLRoEfMviIiIqFdikEF207IA3siRIzF06FC8evUKJ06csLkPDw8PJCQkAAAaGxuxefNmVR6Ht7c3kpKScP78eYsVvWNiYrBv3z40NDQobRERERg/fnx7n1K7NTY2Ij8/Hzdv3lTaBg8ejKVLl5otmHft2jUUFBSoChPGxMRg1qxZzL8gIiKiXotBBtnF3bt3laVlhRCIjY0FABQWFqpGE9qSnJwMFxcXAMD+/fvx8uVLZZ+x1sWLFy9MRjeMxo8fj5s3b+Ldu3dK26hRoxAdHd3u59RetbW1yM3NVa1iNXbsWKSkpMDBQf2rJqVEcXExjh49qrSx/gURERF9LBhkUKdJKVW5BxMnTkS/fv1w586ddlX2njRpkpIQff36dVUBOgCIjY1Fnz598Ic//MFsorcx1+Hx48dKW9++fbF06dJ2PZ+OqKysxPr161VBUXh4uDJlrKX6+nps27YNpaWlSpuvry+WLVuGvn37dvm9EhEREXU1BhnUadeuXcOzZ88A6FdvioqKUlZKspWnpyfmzZsHQL9C1Y4dO1T7R44ciWnTpmH9+vWoqqoyOd/d3R0jR45U1edwdXXFz372sy6fdlRRUYENGzaoalrMmzcP4eHhJse+efMGubm5qqKBw4cPR3p6utnpVERERES9EYMM6pTm5mYUFxcr29OnT4enpydOnjyp+la/LYsWLYKLiwuklMjPz0d9fb2yz8PDAykpKSgpKcGDBw9MztVoNJg9e7YqqNFqtfj666/NVtK2pwcPHmDjxo3K/Wo0GqSmpiIsLMzssXl5earVsMLDwxEbGwuNRtOl90lERET0ITHIoE65dOkSXr9+DUC/bOysWbNQXV2tGlFoy8SJE5U6ECdOnFAt4yqEQHp6Oh4/foxjx46ZPX/u3Lmq6VoAkJ2d3eVL1V6/fh35+flKYrqTkxOWLVuGoUOHmhx7/vx57NmzR8lP0Wq1WLhwISZMmNCl90hERETUHRhkUIc1NjaqgomZM2fC1dUVO3fuVI1EWOPm5qZMkyovL8fBgwdV+yMiIpQ8DHMmTJiAU6dOqVagWrBgAQYNGtTep9MuZ8+exZ49e5RtDw8PZGZmIiAgQHWcTqdDYWGhquK4h4cHli5d+kGW0yUiIiLqDgwyqMPOnj2r5CG4u7tj+vTpKC8vx4ULF2zuIykpCa6urmhsbDSp3B0UFIRZs2bh+++/Nxu0BAcHo6KiAjU1NUrb5MmT8dlnn3XiWVknpURJSQmOHDmitPn5+WHlypUmNTDq6uqwZcsWZdUtAAgICMDy5cs/SEFAIiIiou7CIIM6pL6+XjV9KTIyEo6Oju2q7D169GiMHj0agH6p21evXin7HB0dkZ6ejsLCQiWpvCUPDw94eXmpKoEHBQVh4cKFHXk6NtHpdNi7dy/OnTunuuaKFSvg5uamOvb169fIzc1V5aWMHj0aKSkpLLBHREREHz0GGdQhJ06cUBKYvb29MWXKFFy7dg2PHj2y6XxnZ2fMnz8fAFBaWqr64A7opzw9evTIZBlbQJ9cPXr0aFVFbQ8PD3z++ecdfDZta2pqwrZt21RBzfDhw5GRkWESNDx48ACbNm1CXV2d0hYZGYm5c+eywB4RERF9EhhkULtVV1fj1KlTyvbcuXPR3NysqvjdlsTERHh4eKCqqgoFBQWqfWFhYQgICMC3335r9twpU6aoAgwHBwd89dVXJgXv7KW+vh6bNm3C/fv3VfeYkpICrVarOvbixYvYtWuXkuDt4OCARYsWmV1tioiIiOhjxSCD2u3o0aNoaGgAoC92N27cOBw+fFhVZdua4cOHY/z48ZBSoqCgQPWNf58+fRAXF4e1a9eiqanJ5NyQkBCTnI+srCx4enp24hlZVl1djZycHDx9+lRpmzZtGhISElSjEsaChCdOnFDaPDw8sGzZMgQFBXXJvRERERH1VAwyqF0qKytVU5uio6NRVVWl+nBtjaOjI5KSkiCEwJkzZ1RJ0UIIpKWl4dChQ6r8DCN/f388efLkg60kVVlZiXXr1qnuJSoqChEREaoAo6GhAdu2bcPNmzeVNiZ4ExER0aeMQQa1S0lJifIhPzg4GKNGjcL27dvNjjqYExsbC29vb7x69QqFhYWqfZGRkXj9+jUuX75scp6zszOcnJxUidSTJk3qspWkXr58iXXr1imjM0IILFiwAFOmTFEd9+7dO2zcuBHl5eVKW0hICNLT05ngTURERJ8sBhlks5cvX6oCgOjoaDx79sxsUGBOcHAwpk6dCp1Oh61bt6pGJIKDgzF69Gj88Y9/NHvu0KFDTUYKumolqfLycqxfv15ZGler1SItLQ1jxowxOS43N1dZxhcAZsyYgbi4OFbwJiIiok8agwyyWUlJiVLHYtiwYRgyZAjWrl1r07kajQbJyckQQuDo0aOqb/4dHR2xcOFCbN68WRV4GIWGhqoCDBcXF3z55ZddslLTw4cPkZubq9TlcHR0xLJlyzBs2DDVcaWlpdi6dSsaGxsBWB7pICIiIvoUMcggmzx//hzXrl1TtqOjo3Hr1i08ePDApvNnz56Nvn37ory8HCUlJap9iYmJOHnypGoqlFFwcDBu3bqlbGs0Gvz0pz+Fo6Njh56HNbdv30ZeXp4y9cvFxQWZmZkmlblPnz6tqgfi7OyMjIwMk0CEiIiI6FPFIINscvjwYeW/Q0JCEBAQgH/6p3+y6Vxvb29ERESgqanJpKp3SEgINBoNLl26ZHKeu7s7Xrx4oSwHCwCLFy+Gn59fx5+IBT/88AMKCgqUa3l4eGDlypXo37+/coxOp8P+/ftx5swZ1XNbsWIF+vbta/d7IiIiIuqtGGRQm549e6YqQjd37lycO3fO7ApQ5iQnJ8PBwQH79+9XnePq6opZs2Zh3bp1Zs9zdnZGdXW1sj1z5kylQrg9nTt3Drt371a2vb29kZWVBV9fX6WtoaEB+fn5KC0tVdqCg4OxbNkyuLu72/2eiIiIiHozBhnUppajGKGhofDx8bEYGLQ2fvx4DB06FA8ePFAV8AP0y8/u2rXL7MpUQUFBePLkibI9ePBgxMXFdfAZWHbixAlVEcG+ffti5cqVqqVn379/j9zcXFUeyZgxY5CSktIl07aIiIiIejsGGWRVeXm5Kul6zpw5OHLkCGpra9s819nZGfHx8aivr8e2bdtU+yZNmoQHDx7gxYsXJucFBgaqAgwPDw9kZWV14lmYklLi8OHDqgBqwIAByMzMhJubm9L2/Plz5OTkoLKyUmmbOXMmYmNjuyTxnIiIiOhjwCCDrGr5IXz06NFwdnZW5SRYk5iYCDc3N2zfvl1VDbxPnz4YOnQo8vPzTc7x8vLCs2fPlG2tVouf/exn0Gq1nXgWalJKFBYWqkZWBg8ejOXLl8PZ2Vlpu3fvHvLy8pSVpoQQmD9/fpfV5iAiIiL6WDDIIIuePn2qykGYO3cuDh48aHaZ2dYGDx6M8ePH49atWyZJ3fHx8SgoKDB7Xn19vSoxfOnSpXatmq3T6bB7925cuHBBaRsxYgQyMjJUU58uX76MHTt2KIngTk5OWLJkCUaMGGG3eyEiIiL6WDHIIItaLjU7duxY1NfXq5axtUSj0WDhwoWor6/H9u3bVftmzZqFU6dOoaGhweQ8b29vvH37VtmePXs2Ro4c2eH7b02n06GgoAA//PCD0hYaGor09HQ4OOh/FaSUOHr0KIqLi5VjPD09sWLFCgQEBNjtXoiIiIg+ZgwyyKzHjx/j9u3bynZkZKRqBSZr5syZAz8/PxQUFChVswGgX79+cHR0xKNHj0zO8ff3V9XJGDRoEGJiYjrxDNSMy+e2zC8ZP348Fi1apFTnNjfK0a9fP2RmZtp1NIWIiIjoY8cgg8xqmYsRFhaGN2/emA0OWvPx8cGsWbNw69YtXL58WWnXaDSYOXOm2WlSnp6eqgDDzc3NronejY2NyMvLw507d5S2KVOmYMGCBUrydkNDA7Zs2aIKrIYOHYqMjAy4uLjY7V6IiIiIPgUMMshEWVmZ8oFcCIGIiAhs2bLFpnMXLlyIhoYGs9OkioqKzJ7TshaGRqPBT37yE2X6Umc1NDRg48aNuH//vtIWHh6OuLg4JcCoqqpCTk6Oaona8ePHIzk52a4J50RERESfCgYZZKJlLsa4cePw9OlTs0vNtjZ27FgMHTrUZJpU//798fLlS1RVVZmc4+zsrKzeBABpaWmqInidUV9fj5ycHNUITGRkJObOnasEGK9evcL69etNckGio6O5RC0RERFRB2m6+waoZykrK8O9e/cA6EcxZs6cqUqCtsTR0RHx8fFmp0mNGTMGN27cMDnH3d1dFWBMnToVY8eOtcOzAOrq6rB+/XpVgBEdHY2oqCgleHj8+DG+++47JcAQQiApKQkxMTEMMIiIiIg6gSMZpHLkyBHlv8ePH4+7d++qalxYEhMTAwcHB5NpUjNmzFD1aeTq6qqaJhUQEIDExMRO3PmPamtrsW7dOtX0p3nz5iE8PFzZvnXrFrZs2YLGxkYAgIODA5YsWYKQkBC73AMRERHRp4wjGaR4+vSpKjl66tSpOHr0aJvn9e3bF1OnTsXevXtV06QCAwNx9+5ds3U1WlYMd3JywhdffGGX0YPq6mqsWbNGFWAkJiaqAoyLFy9i48aNSoDh6uqKVatWMcAgIiIishOOZJCiZUARFhaGGzduoK6urs3zFi5ciDt37qjqT2i1WgQFBeHcuXMmx2u1WlXgsWrVKjg5OXXy7vUJ3GvXrlXljyQlJWHKlCkAzNfA8Pb2xsqVK+Hn59fp6xMRERGRHkcyCABQUVGhqiExadIknD59us3zJk6ciL59+5pMk5oyZYrZAMPFxUUVYMTFxWHAgAGduHO99+/fY82aNUqAIYRASkqKEmDodDrs2bNHFWAEBATgyy+/ZIBBREREZGccySAA6lGM0NBQXL16FU1NTVbPcXJyQlxcHAoLC1XTpAYMGIDr16+bPb7lyMiwYcMwc+bMTt+7McB49eoVAH2AkZaWhrCwMAD6Qnz5+fmq5POhQ4di6dKlcHZ27vT1iYiIiEiNIxmEly9f4tq1a8p2WFgYLl682OZ58+bNw/Pnz1XHarVaeHl5mV2utqGhQflvd3d3rFixopN3Drx79w6rV69WBRjp6elKgFFXV4cNGzaoAoywsDBkZmYywCAiIiLqIgwyCMeOHVP+e8SIEbh69Wqb5wQEBGDcuHHYtm2bqj0sLEw17cqoZVK3seBeZwvdvXv3DmvWrMHr16+VfpcsWaIsg1tVVYU1a9bgwYMHyjnTp09HWloai+wRERERdSEGGZ+4N2/e4MqVK8p2aGio2SChteTkZBw+fFi1vG2/fv3MTpPSarWQUirbixYtgo+PT6fuu7KyEqtXrzYJMEaPHg1A/7y+++47PHv2TDknJiYG8fHxrIFBRERE1MWYk/GJO3bsmBIADB06VDVtypJJkyYBAE6cOKG0CSGg1WqVZWFbtrdM9B43bhzGjx/fqXt++/Yt1qxZoxTR02g0yMjIwKhRowAAz549w/r165U6HEIILFy4ULlvIiIiIupaHMn4hL179w6XLl1StkeOHIn79+9bPcfR0RFRUVHIz89XtQ8fPlxVm8Ko5QiGj48PUlNTO3XPrQMMrVaLpUuXKgHGgwcPsHr1aiXAcHBwwNKlSxlgEBEREX1AHMn4hB0/fhw6nQ4AMHDgQLNTnVqLjY3FxYsX8fLlS6XN29sbd+/eNTlWCKEEGVqtFl9++WWnpipVVlaaDTBGjhwJALh58ya2bNmijJw4Oztj+fLlGDx4cIevSURERETtx5GMT1RVVRUuXLigbA8fPhyPHz+2eo6vry+GDBmCkpISk30tRywA/RSmlm2LFy+Gh4dHh+/XmORtKcC4fPky8vLylADDw8MDX3zxBQMMIiIiom7AkYxP1MmTJ5U6GAMGDFAt8WpJUlIStm/frgoegoODzQYnxhESQF+wLzQ0tMP3agww3rx5A+DHHAxjgHHq1Cns379fOd7X1xcrV67sdHI5EREREXUMRzI+QbW1tapq3EOGDEFFRYXVc0aNGoWXL1/i6dOnSpuHh0ebox8+Pj5ITk7u8L2+f/8ea9euVa0ilZGRgZCQEEgpUVxcrAow+vfvjy+++IIBBhEREVE3YpDxCTp79qxSGK9v374oLS21erxGo0FkZCQKCwtV7a2nSLXW2TyM1pW8jcvUjho1ClJK7N27F0eOHFGOHzhwID7//PNOTcsiIiIios5jkPGJaWxsxOnTp5XtQYMGKR/iLYmMjMSRI0eU6VWAfsTAuIKTJenp6R3+wF9VVYW1a9eqAozFixcjNDQUzc3N2LZtG86ePascP2LECGRlZcHFxaVD1yMiIiIi++mVQYYQIlgI8Z0Q4qkQol4I8UAI8WshhE1zZIQQ7kKITCFEjhDiphCiWgjxXghxTgjx50IIp65+Dt3l0qVLqKmpAQB4eXmZXRWqJQ8PD/Tv31812uHi4tLm9KqJEycqhfHaq6amBmvXrlVWsBJCID09HaNHj0ZjYyPy8vLwww8/KMePHTsWy5Ytg6OjY4euR0RERET21euCDCHEcADnAXwB4AyA/wvgHoA/A3BSCOFnQzcRANYDiAdwFcBvAeQACALwvwEUCyE+uq/EdTqdqoBecHCwslqTJQkJCdi5c6eqra1pUt7e3h3Ow6itrcW6devw4sULAD8GGGPGjEF9fT1ycnJw69Yt5fgpU6YgLS0NWq22Q9cjIiIiIvvrjatL/Q5APwB/KqX8rbFRCPF3AP4VgL8B8HUbfTwDsBLAZillQ4s+/g2AEgAzAfwzAP/Hrnfeza5fv64EFa6urigrK7N6/MCBA/Hw4UNl5AMA+vTpg8rKSovnaDQa/OQnP+lQHkZdXR3Wr1+PZ8+eKW2pqakYO3YsamtrsWHDBjx58kTZN3v2bERHR3eq9gYRERER2V+vGskwjGLMA/AAwD+22v3XAKoBZAkh3K31I6W8JKXc0DLAMLS/x4+BxVx73HNPIaXE8ePHle0BAwbg/fv3Vs8JDw9X5T1otVqrAQYApKWldSgPwzhK0XL1qkWLFmHcuHGoqqrCmjVrVAFGTEwMYmJiGGAQERER9UC9KsgAEGV4LJRS6lruMAQIxwG4AZjRiWs0Gh6brB7Vy9y7d08ZIXBwcFB9mDdn4sSJKC4uVrW19YF+zJgxGDt2bLvvrbGxEbm5uaqRlQULFmDixImorKzE6tWrVTkg8+fPx+zZs9t9HSIiIiL6MHpbkDHK8HjLwv7bhseQTlzjS8Pjvk700eMcO3ZM+e8BAwagtrbW4rEODg7w8fFR8iIAfbJ3y9WlWvPw8EB6enq776upqQkbN27Ew4cPlbaEhAR89tlneP36Nb7//ntlhSkhBFJSUjB16tR2X4eIiIiIPpzelpPRx/Boac6Osd27I50LIf45gAQAlwB8Z+M55y3s6niJazt78uQJHjx4AED/Qf358+dWj58xY4aq/gSgz5ewRAiBzz//HBpN+2LW5uZm5OXl4d69e0pbbGwspk+fjufPn2PdunWoqqoCoM/1MCaAExEREVHP1ttGMrqMECINwK+hTwpPl1I2Wj+j92iZixEQEGA1YPDw8MDTp0/R3NystLW1clN8fDz8/GxZ1OtHOp0OW7duxe3bt5W2qKgozJo1C+Xl5Vi9erUSYDg4OGD58uUMMIiIiIh6id42kmEcqehjYb+x/W17OhVCpADYCOA5gCgp5T3rZ/xISjnFQp/nAUxuz310hVevXuHGjRvK9ps3b6weP3HiRNXUKkdHRzQ2Wo63Bg8ejOnTp7frnqSU2LFjh+q+IiIiEBkZicePH2P9+vWor68HADg5OWHFihUYPHhwu65BRERERN2nt41kGCvCWcq5GGl4tJSzYUIIsQTAZgAVAOZIKUvbOKVXaTmK4e/vb3UUIyAgAOfPq2d/WQswnJ2dsXLlynbdj5QSe/bsweXLl5W26dOnIyoqCg8fPsS6deuUAMPFxQXZ2dkMMIiIiIh6md4WZBiXO5onhFDduxDCE8AsADUATtnSmRAiE0AugKfQBxi32zilV3n//j2uXLmibBunH1nSr18/VUJ4WzkWK1euhIOD7YNhUkoUFRXh3LlzStukSZMQHx+Pe/fuYf369Who0K8q7ObmhlWrViEoKMjm/omIiIioZ+hVQYaU8i6AQgBDoC+W19KvALgDWCelrDY2CiFChRAmSdhCiFUA1gJ4BCCyPVOkeovTp08ruRV9+vSxOooxcuRI/PDDD8q2EAI6nc7i8TNnzkRwcHC77ufo0aOqiuPjxo1DUlISbt++jdzcXGX1Kg8PD3z++ecICAhoV/9ERERE1DP0tpwMAPgFgBMAfiOEiAFwA8B06Gto3ALwl62ON078V4o8CCGioF89SgP96MgXZmpAvJVS/treN/+hNDQ0qKY+WQswNBoN3r9/Dyml0tbyv1vz9/dHXFxcu+7n1KlTqrobo0aNwqJFi3Dz5k1s3bpVCWi8vLyQnZ3d7kRyIiIiIuo5el2QIaW8K4T4DMB/hn652fkAygH8PYBfSSmtZzbrDcaPozhfWjjmIfSrTfVKFy9eVAILNzc31NTUWDx21KhRqiRsIYTFIEOj0eDzzz9v171cuHAB+/fvV7aHDRuGxYsX4/r169i2bZtyLR8fH2RnZ8Pb27td/RMRERFRz9LrggwAkFKWAfjCxmNNhiiklKsBrLbvXfUcOp0Op0+fVratJW+7uLjg7t27qjZroxiLFi2Cu7u7zfdy7do17Ny5U9keNGgQli5dimvXrmH79u3Ktfz8/JCdnQ0vLy+b+yYiIiKinqlX5WSQbUpLS5WlattagjYgIEBJtm7LiBEjMH78eJvv486dO8jPz1e2AwMDsXz5cly7dg0FBQVKgNG3b198/vnnDDCIiIiIPhK9ciSDrDt58qTy39ZGJTw9PZVK4G1xdnbGsmXLbL6HR48eYdOmTUquhb+/P1auXIlr165h165dynH9+/dHVlZWu0ZHiIiIiKhnY5DxkXn8+DHKysoA6HMrjCs2mWMm2d2ilStXtln52+jZs2fIyclRrt2nTx9kZWXh2rVr2LNnj3JcQEAAsrKy4ObmZvN9EBEREVHPx+lSH5lTp34sEWKtzoW3tzfevXtnU5/Tp0+3ebnaV69eqSp2u7u7Izs7Gzdu3FAFGAMGDEB2djYDDCIiIqKPEEcyPiJv377F9evXlW1jjQxz2irMZ+Tr64v4+Hibjq2srMS6detQXa0vU+Li4oKVK1eitLQUhYWFynFBQUFYuXIlXFxcbOqXiIiIiHoXjmR8RE6fPq3kYFib2tSnTx+r06iMjMvV2jKtqrq6GuvWrUNlZSUAfcL5ihUrcO/ePVWAMXDgQGRlZTHAICIiIvqIcSTjI1FXV4cLFy4o25ZGMYQQSiDQlvnz58PT07PN4+rr67Fhwwa8evUKgD44ycjIQFlZGQ4cOKAcN3jwYKxYsQJOTk42XZ+IiIiIeieOZHwkLl68qCxFay0Xw9YRhIEDB2LKlCltHtfU1IRNmzahvLwcgD6ISUtLw/PnzxlgEBEREX2iGGR8BFoX3zMuG9uaRqNBbW1tm/05ODhg5cqVNl1327ZtuH//vtK2YMECVFZWMsAgIiIi+oQxyPgIXL9+XZkCZS1/wtYlaxcvXtxmQCClxJ49e1SJ5lFRUaivr2eAQURERPSJY5DRy0kpbSq+5+DgYHW1KaNRo0Zh1KhRbR53+PBhnD9/XtmeNm0atFotAwwiIiIiYpDR25WVleHp06dtHmfLalIuLi5YsmRJm8edPXsWhw8fVrbDwsLg5eWFoqIipY0BBhEREdGni0FGL3fmzJk2j7G1UndmZmabx7au2j18+HAEBgYywCAiIiIiBYOMXuzdu3eqnAhLbJkmNWXKlDaret+7dw/5+fnKdlBQEIYNG8YpUkRERESkwiCjFzt79qzFHAwjW5K9PT09sWDBAqvHlJeXY9OmTcrKVf7+/hgzZowqwBg0aBADDCIiIiJikNFbNTU1qYrvWWJLEJKdnW01GHnz5g02bNig1OHw9PTEhAkTVAFGcHAwAwwiIiIiAsAgo9e6evUqampqOt3P7Nmz4e/vb3F/dXU11q9fj+rqagD65PDPPvsMBw8eVI4ZMGAAMjMz4ezs3On7ISIiIqLej0FGLySlVBXf6ygfHx9ER0db3N/Q0IDc3Fy8fv0agD6BfOrUqSguLlaOCQwMRFZWls2VxImIiIjo48cgoxcqKyvDs2fPOtWHcZqUJc3NzdiyZQuePHmitE2dOhXHjh1TtgMCAhhgEBEREZEJBhm9kC3L1rZl7ty58Pb2NrtPSoldu3bh9u3bStvkyZNx+vRpJcejX79+yMrKgqura6fvhYiIiIg+Lgwyehlbl621xs/PD5GRkRb3FxcX49KlS8r22LFjcfnyZSXA8Pf3R3Z2Ntzc3Dp1H0RERET0cWKQ0cucO3euzRWjrGlrmtT58+dx9OhRZXv48OG4efOmUmvD19cX2dnZcHd37/A9EBEREdHHjUFGL9LU1ITz5893qo/Y2Fh4eXmZ3Xf79m3s3r1b2Q4KCsLDhw+VAKNPnz7Izs6Gp6dnp+6BiIiIiD5uDDJ6kc4uW9uvXz/MnDnT7L6nT59i8+bNyiiJn58fnj9/jqamJgD62hirVq1Cnz59Onx9IiIiIvo0MMjoJTq7bK1Go0FWVpbZfW/evEFOTg4aGxsBAB4eHqiqqlK23d3dkZ2dDR8fnw5fn4iIiIg+HQwyeonOLls7b948eHh4mLTX1tYiJydHKbbn7OyMpqYm1NfXAwBcXV2RlZVltWAfEREREVFLDDJ6ic4sW9u/f39Mnz7dpL2pqQkbN27Ey5cvAehHOzQaDerq6gDoA46srCz079+/w9cmIiIiok8Pg4xe4P3797hx40aHztVoNFi5cqVJu5QSBQUFePTokdLm4uKC2tpaAICjoyMyMzMRGBjYsZsmIiIiok8Wg4xe4MKFC9DpdB06NyYmxuw0qaKiIly7dk3ZdnNzU5LKtVotli9fjoEDB3bshomIiIjok8Ygo4fT6XQdXrbW39/f7GpS586dw4kTJ5TtlgGGRqNBRkYGhg4d2rEbJiIiIqJPHoOMHu7WrVt4//59u88TQpidJnXnzh3s2bNH2XZ1dVUti5uamoqQkJCO3SwRERERERhk9Hhnz57t0Hlz5swxqWlRUVGhqoXh5OSk5GAAwMKFCxEWFtbxmyUiIiIiAoOMHu3Vq1e4d+9eu8/z8fHBnDlzVG3v379HTk4OGhoaAAAODg7KfwNAfHw8Jk+e3LkbJiIiIiICg4werSO5GEIIk6J7DQ0NyMnJwbt37wDo8y6MlbwBYO7cuZgxY0bnbpaIiIiIyIBBRg/V2NiIS5cutfu88PBwVWVunU6HrVu3qgr5tVypKjw8HJGRkZ26VyIiIiKilhhk9FDXrl1T5UvYwsvLC7Gxsaq2/fv349atW2aPnzRpEuLi4iCE6PB9EhERERG1xiCjhzp37ly7z8nMzFQFDGfOnLFYKXz06NFISkpigEFEREREdscgowcqLy/HkydP2nXOpEmT0K9fP2X7zp072Ldvn9ljhw0bhrS0NGg0fPuJiIiIyP74KbMHau8ohqurK5KSkpTt58+fq5aqbSkoKAhLly6Fg4NDp++TiIiIiMgcBhk9TF1dHX744Yd2nbNkI5CengAAF35JREFUyRJlVKK6uhq5ubmq5WmN+vXrh8zMTDg5OdnlXomIiIiIzGGQ0cNcvnwZjY2NNh8/cuRIDB06FADQ1NSETZs24e3btybHeXt7Y+XKlXB1dbXXrRIRERERmcUgoweRUrZrqpSDgwOWLFminLtjxw6UlZWZHOfu7o6srCx4enra7V6JiIiIiCxhkNGDPHz4EC9fvrT5+IULF8LR0REAcOTIEbPTrJydnbFy5Ur4+vra7T6JiIiIiKxhkNGDtKfC94ABAzB+/HgAwNWrV1FSUmJyjFarxbJlyxAQEGCvWyQiIiIiahODjB6ipqYGN27csOlYjUaDzMxMAMCTJ0+wfft2k2OEEFi8eDGGDBliz9skIiIiImoTg4we4vLly2hubrbp2JiYGLi5ueHdu3fYuHEjmpqaTI5JSkpCaGiovW+TiIiIiKhNDDJ6ACklLly4YNOxPj4+mDlzJhobG7Fp0yZUVVWZHBMdHY3Jkyfb+zaJiIiIiGzCIKMHKCsrsznhe8WKFcpKUk+fPjXZP336dMyePdvet0hEREREZDMGGT2AraMYEydOhL+/P44dO4arV6+a7B83bhzi4+MhhLD3LRIRERER2YxBRjerq6vDtWvX2jzO2dkZCxcuxI0bN3Do0CGT/cOHD8eiRYsYYBARERFRt2OQ0c2uXLliNnG7tfT0dLx48QLbtm0z2RcYGIglS5ZAq9V2xS0SEREREbULg4xuZGvC96BBgzBgwADk5uaisbFRtc/HxwcrVqyAs7NzV90mEREREVG7MMjoRk+fPkVFRYXVY4QQWLJkCfLy8lBZWana5+bmhpUrV8LDw6Mrb5OIiIiIqF0YZHQjW0YxYmJiUFJSgkePHqnaHR0dsWLFCvj6+nbV7RERERERdQiDjG7S0NCAK1euWD3G29sbzs7OOH/+vKpdo9EgIyMDQUFBXXmLREREREQdwiCjm1y9erXNhO85c+Zg7969Ju3JyckYMWJEV90aEREREVGnMMjoJufOnbO6f/To0Thw4AB0Op2qPTo6GhMmTOjKWyMiIiIi6hQGGd2goqIC5eXlFvdrtVq8fv0aNTU1qvYpU6awmjcRERER9XgMMrpB6xyL1gIDA01WnQoJCcH8+fNZbI+IiIiIejwGGR9YY2Oj1VWl3N3d8fjxY1XbgAEDkJ6eDo2GbxcRERER9Xz81PqB3bhxA83NzRb3V1dXq7Z9fHywfPlyODk5dfWtERERERHZBYOMD+zEiRMW97UeqXBxcUFmZiaL7RERERFRr8Ig4wN6+/at1QrfLVeS0mq1WLFiBfz8/D7ErRERERER2Q2DjA/o7NmzNh+bnp6OgQMHduHdEBERERF1DQYZH4iUEqdOnbLp2Pj4eIwePbqL74iIiIiIqGswyPhA7t+/b1JYz5ypU6di+vTpH+COiIiIiIi6BoOMD2T//v1tHjNy5EgkJCSwFgYRERER9WoMMj6A+vp6PH/+3Ooxffv2xeLFi1kLg4iIiIh6PX6i/QCOHz9udb+bmxuysrJYC4OIiIiIPgoMMj6Ao0ePWtyn1WqRnZ0NT0/PD3hHRERERERdh0FGF2trmtSyZcvQv3//D3Q3RERERERdj0FGF1uzZo3FfYmJiRgxYsQHvBsiIiIioq7XK4MMIUSwEOI7IcRTIUS9EOKBEOLXQgifdvbjazjvgaGfp4Z+g+11rzU1NWbbJ02ahGnTptnrMkREREREPYZDd99AewkhhgM4AaAfgO0AbgKYBuDPACQIIWZJKV/Z0I+foZ8QAIcAbAQQCuALAAuEEOFSynudude3b9+abQ8ODkZSUlJnuiYiIiIi6rF640jG76APMP5USpkipfx3UspoAP8XwCgAf2NjP/8N+gDj76SUMYZ+UqAPVvoZrtMptbW1Jm0eHh7IysriUrVERERE9NHqVZ90DaMY8wA8APCPrXb/NYBqAFlCCPc2+vEAkGU4/petdv8DgIcA4oUQwzp/12o//elPuVQtEREREX3UelWQASDK8FgopdS13CGlfA/gOAA3ADPa6GcGAFcAxw3ntexHB8BYnjuq9YmdkZ2djT59+tizSyIiIiKiHqe3BRmjDI+3LOy/bXgM+UD92Cw2NhZDhw61V3dERERERD1Wb0v8Ng4DVFrYb2z3/kD9QAhx3sKuCS9evMAf/vAHAMCOHTva6oqIiIiIqN1u3LgBAEO6+TZUeluQ0ZtompqamsvLyy8DQHl5eXffD7VPqOHxZrfeBXUU37/ei+9d78b3r/fie9e7TQDg0d030VJvCzKMIwyWEhuM7W8/UD+QUk4x124c4bC0n3o2vn+9G9+/3ovvXe/G96/34nvXu1mZWdNteltORqnh0VKuxEjDo6VcC3v3Q0RERERErfS2IKPY8DhPCKG6dyGEJ4BZAGoAnGqjn1MAagHMMpzXsh8N9MvktrweERERERHZqFcFGVLKuwAKoU9s+Wetdv8KgDuAdVLKamOjECJUCBHa8kApZRWAdYbjf9mqn39u6H9/Zyt+ExERERF9inpbTgYA/ALACQC/EULEALgBYDr0NS1uAfjLVsffMDyKVu3/AcBcAP9aCDERwBkAowEsAvAcpkEMERERERHZoFeNZADKaMZnAFZDH1z8OYDhAP4ewAwp5Ssb+3kFIBzAbwCMMPQzHcD3AKYYrkNERERERO0kpJTdfQ9ERERERPQR6XUjGURERERE1LMxyCAiIiIiIrtikEFERERERHbFIIOIiIiIiOyKQQYREREREdkVgwwiIiIiIrIrBhlERERERGRXDDLaQQgRLIT4TgjxVAhRL4R4IIT4tRDCp539+BrOe2Do56mh3+CuundSE0KsFEJIw89P23nuGCFEnhDiuRCiTghRKoT4lRDCtavu91MnhFgghCgUQjwWQtQKIe4JITYLIcLb2Y9dfodJTQixWAjxWyHEUSHEO8Pv1XoLx44UQvyFEOKQEKJMCNEghKgQQmwXQkR18PozhRB7hBCvDf9/XBFC/EshhLZzz+zT0J73r8U5WiHET4UQR4QQb1r8Xm4SQoS08/p8/zpICOFneB+2CSHuGF6/SiHEMSHET4QQZj/n2fM159/Ejunoe9eqj29bfJYZ0YF7SBJClBiuWyWEOC2EWNWxZ2SGlJI/NvxAX1W8AoAEUADgvwM4ZNi+CcDPxn78AJQazjto6KfAsF0BYFh3P9eP/QfAQABvAbw3vO4/bce50wFUA2gAkAPgfwA4a+jnGADn7n5+H9uP4TWWAF4C+NbwO7PF8B7oAKy0sR+7/A7zx+xre8nwOr4HcMPw3+stHLvRsP8agD8A+FsA+QCaDO1/2s5rLzKcWwXg/wH4X4b3UwLY3N2vTW/4ac/7Zzjew/D3SwK4CODXht+ndQAeAEji+/fB3ruvDa/VUwAbDL9P3xn+xknDv5Wiq15z/k38sO9dq/MXtvi9lQBGtPP6/7zF39Z/BPB/AZQZ2v63XZ5jd7/IveUHwH7DC/8vWrX/naH99zb28wfD8f+nVfufGtr3dfdz/Zh/AAgARQDuGv5htTnIAKAFcN1wTnKLdo3hHwMJ4N9193P8mH4ABABoBvAMQL9W+6IMr/k9G/uyy+8wf8y+tlEARhp+v+bCepDxOYBJZtrnGD6o1AMItPG6XgCeG875rEW7C4AThvtY1t2vT0//ac/7Zzh+g+GYn1vY78j374O9d9GGD5uaVu0BAB4ZXsP0rnjN+Tfxw753rY7pa/i7uBFACdoZZAAYAqAOwCsAQ1q0+wC4Y+gvvNPPsbtf5N7wA/03oBLAfTP/M3hC/21ANQD3NvrxAFBjON6z1T4N9N8ASXA0oyvfyz+D/tvvSAC/RPuCjGjD8YfN7Btm2PcAVr554E+736/phtd1u4X97wC8t6Efu/wO88em92wu2viQauXcQmt/WM0c/6Xh+DVm9ln8feVPx98/AJMN+zfa4Vp8/7r2vfwPhtfwt13xmvNv4od971rt3wZ9kOGHjgUZ/9lwzq/M7LP4/0h7f5iTYRvjPOFCKaWu5Q4p5XsAxwG4AZjRRj8zALgCOG44r2U/Oui/aW15PbIjIcRo6If0/15KeaQDXUQbHve13iGlvAfgFoDB0P/jSvZxG/pvt6cJIfxb7hBCREIfIBTZ0I+9foepazUaHptsPN7i7ySAI9B/qTNTCOHc2RsjxQrDY64Qoo8hv+3fCyG+6sCccL5/Xcvc75M9X3P+Tew6Fv8tFEJ8DiAF+pHEVx3s39r/B3tbHdNhDDJsM8rweMvC/tuGx7aS3ezVD7WTEMIB+vnCj6D/hqAj+P59YFLK1wD+AkB/ANeFEN8IIf5WCJEH/bfeBwD83Iau+N71cEKIwQBioP+QY+uXABbfVyllE/QjVw7ghxx7mmp4HAz9tNN1AP4b9FOBbwkh/rEdycN8/7qI4W9etmGz5QdJe77m/He1C1h574z/Tv499CON2ztxGWv/H5RDP7IfLIRw68Q1GGTYqI/hsdLCfmO79wfqh9rvPwGYBOBzKWVtB/vg+9cNpJS/BpAG/R++nwH4dwCWQJ+gtlpK+dyGbvje9WCGb003AHAG8Esp5RsbT+X7+uH1Mzz+HfTTNEZDP6IYC33Q8QsAf2VjX3z/us5/BxAGYI+Ucn+Ldnu+5nz/uobZ986w2tQa6Kf3/mknr2Hre9fHwn6bMMigj54QYjr0oxf/R0p5srvvh9pHCPFvoU8iXA19boU7gCkA7gHYIIT4n913d9RZhm+91wGYBWATgP/dvXdEbTB+brgJYKmU8qaUskpKeRDAYuhz3v61EMKp2+7wEyeE+FMAfw79e5TVzbdD7dDGe/evoF8g42ft+CKmWzHIsE1bEZ2x/e0H6odsZBh2XAv9kKCt365ZwvfvAxNCzIV+ScQdUsp/LaW8J6WskVJeAJAK4AmAPxdCtDW0z/euBzIEGOuhH5nKg345YtmOLvi+fnhvDY87pZTNLXdIKS9DP93GE/oRjrbw/bMzIcQ/h346zXUAUYYppy3Z8zXn+2dH1t47Q+2ZvwHwvZRyjx0uZ+t7Z2mkwyYMMmxTani0NK9wpOHR0rxEe/dDtvOA/vUeDaCuRdEaCeCvDcf80dD26zb64vv34SUZHotb75BS1gA4A/2/Y5Pa6IfvXQ8jhHAEkAtgGfTr668wzAlvD4vvq+ELhqHQJ07e68StkprxNX9rYb/xG1ZbCrHx/bMjIcS/BPBbAFeh/5D6zMxh9nzN+e+qndjw3o2BfjrpFy0/xxg+y8wxHHPb0JZiwyWt/X8QCP2MgceGv7MdxiDDNsYPOPNaV2AUQnhCP8xfA+BUG/2cAlALYJbhvJb9aADMa3U96rx66IsNmfu5aDjmmGG7ralUhwyPCa13GL5JDwHwEPyDaE/GFU76WthvbG9oox97/Q6THRim0myGfgRjLYCs1t+K28ji7yT0y1S7ATghpazv0I2SOcbV3MJa7zDk1hg/WD6woS++f3YihPgL6IupXYL+Q6qlXDV7vub8m2gHNr53D2D5s4wxINls2H5gw2Wt/X+Q2OqYjuvutYB7yw/aWcgLQCiAUDP9sBhfD/mBhToZ0P8jGwpgUKt2a4WHNoOFh7riPcowvK7PAAS12pcI/fzvWhiqdQNwNLx3w830xWJ8H+Y9mwvrdRacAew2HPMtWtUtsXBOH8P7Gtiq3QvAC7CY24d8/9yhn6bYAGBaq33/1XDuIb5/H/Q9+yvDa3UOgG8bx7b7NeffxJ7x3lnpowQW6mQA8De8d/6t2ofiAxTjE4ZOqQ1CiOHQ/wL2A7AdwA3oC4VFQT8UOFO2WK/YMIQFKaVo1Y+foZ8Q6KPEM9BP5VkEfRXOmVLKu139fAgQQvwS+ilTP5NSftuifS7033wfllLObXXOdOjfN0fok5EfQb/s5mfQ11qIkfzWzW4Mow77oV+55j1+LEA0GvqpVALAv5RS/r3h+CHQzwl/KKUc0qqvdv0Ok+0Mw/Mphs0AAPHQf3t51ND2Ukr5bwzHfg991e+XAH4H/R+z1kqklCUt+v8cwPfQF4f63My1t0D/B3MjgNcAkqFfonELgAzJP3RWtef9MxwfB2CXYTMf+qBjOoDZ0P8dmy2lvN3i+M/B969LCCFWQb8oRjP0023MzaF/IKVc3eKcFLTjNeffxK7RkffOQj8l0E+ZGimlvNNq3y+h/5zzKynlL1vt+xcAfgN9oLEJ+i8OFgMIhv6L8H+DzuruKK43/QAYCP0/lOWGN+MhgF8D8DFzrNS/vGb78YU+ueehoZ9yAN8BCO7u5/gp/cDySMZcQ3uJhfPGQP8tzUvovw26BeBXAFy7+zl9jD/Q//H6l9BPZXoH/Xzh59B/yJnX6tghhvfugYW+bP4d5k+73iPj75Klnwctji1p41gJ/TK2Lfv/3NC+2sL1ZwHYA30+QC2AH6BfiUXb3a9Nb/hpz/vX4pwJ0H+ofGH4XXoE4J8ADDBzLN+/7nvvzP4ta89rzr+JPeu9M9OP8d9UcyMZxmv80sK5CwEchv5LvGoAZwGsstdz5EgGERERERHZFRO/iYiIiIjIrhhkEBERERGRXTHIICIiIiIiu2KQQUREREREdsUgg4iIiIiI7IpBBhERERER2RWDDCIiIiIisisGGUREREREZFcMMoiIiIiIyK4YZBARERERkV0xyCAiIiIiIrtikEFERERERHbFIIOIiIiIiOyKQQYREREREdkVgwwiIiIiIrIrBhlERGRXQojPhRBbhRD3hBC1Qoh3QojjQoiVFo6fKoQoFEK8NxxbJIQIF0L8UgghhRBzzZwTKoRYLYQoE0I0CCEqhBA5QohRXf38iIiobQ7dfQNERPTR+ScA1wAcAVAOwA/AfADrhBCjpJR/ZTxQCBEJoBCAFkA+gLsAxgEoBnDIXOdCiATDsY4AdgK4AyAYQBqABUKIKCnlha55akREZAshpezueyAioo+IEGK4lPJuqzYnAHsBRAIYIqV8IoTQACgFMALAfCnl3hbHfw19sAIAUVLKEkO7D4B7AJoBREopr7c4JwzAKQC3pJSTu+r5ERFR2zhdioiI7Kp1gGFoawDwj9CPoMcYmmdCH2AUtwwwDL4BcMtM99kAvAH8dcsAw3CNqwD+CGCSEGJMZ54DERF1DqdLERGRXQkhBgH4C+iDiUEAXFsdEmR4nGR4PNa6DymlTghxAkBIq13hhscJQohfmrm88fjRAK6b2U9ERB8AgwwiIrIbIcQwAGcA+AA4Cn2+RSX005uGAFgFwNlweB/DY4WF7sy1+xkef9bGrXjYdsdERNQVGGQQEZE9/WvoA4EvpJSrW+4QQiyHPsgwemd47G+hL3PtlYbHCVLKK524TyIi6kLMySAiInsaYXjcambfnFbbFw2Ps1sfaEgKn2mmj1OGx4gO3R0REX0QDDKIiMieHhge57ZsFELEA/hpq2OPQ79kbZQQIrHVvq9gmo8BAN8DeAvgr4UQ01rvFEJozNXVICKiD4tL2BIRkd0IIcYDOAtAAtgC4CmAMAAJAPIALAXwKynlLw3HzwWwD/o6GVuhDzrGA4iDvk5GIoA5UsojLa4RA2Ab9HkXB6GvySEBDIQ+MdxPSunSpU+UiIisYk4GERHZjZTyihAiCsB/BbAA+r8zl6EvlPcW+iCj5fElQog5LY4HgNMAogBkGrbftTrnoCGY+TcA4qGfOtUAfUBzCOanahER0QfEkQwiIuqRhBDHAUwH0EdKWd3d90NERLZjTgYREXUbIYSbEMLbTPvn0Cd+FzLAICLqfTiSQURE3UYIEQr9KlMHANyBfnrVJOhXnHoLYKaU8ka33SAREXUIgwwiIuo2QggfAP8L+uVtA6Av1PcMQBGAv5FS3u3G2yMiog5ikEFERERERHbFnAwiIiIiIrIrBhlERERERGRXDDKIiIiIiMiuGGQQEREREZFdMcggIiIiIiK7YpBBRERERER2xSCDiIiIiIjsikEGERERERHZFYMMIiIiIiKyKwYZRERERERkVwwyiIiIiIjIrhhkEBERERGRXTHIICIiIiIiu/r/AbwRo9tyYKjLAAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": { "image/png": { "height": 265, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = int(1e4)\n", "phi = tfd.LogNormal(np.log(1), 0.1).sample((N,)).numpy()\n", "k = tfd.LogNormal(np.log(2), 0.25).sample((N,)).numpy()\n", "theta = tfd.LogNormal(np.log(5), 0.25).sample((N,)).numpy()\n", "\n", "# relative grow curve\n", "ax = plt.subplot(xlim=(0, 1.5), ylim=(0, 1), xlabel=\"age\", ylabel=\"body mass\")\n", "at = np.array([0, 0.25, 0.5, 0.75, 1, 1.25, 1.5])\n", "ax.set(xticks=at, xticklabels=np.round(at * d.age.max()))\n", "x = np.linspace(0, 1.5, 101)\n", "for i in range(20):\n", " plt.plot(x, 1 - np.exp(-k[i] * x), \"gray\", lw=1.5)\n", "plt.show()\n", "\n", "# implied rate of nut opening curve\n", "ax = plt.subplot(xlim=(0, 1.5), ylim=(0, 1.2), xlabel=\"age\", ylabel=\"nuts per second\")\n", "at = np.array([0, 0.25, 0.5, 0.75, 1, 1.25, 1.5])\n", "ax.set(xticks=at, xticklabels=np.round(at * d.age.max()))\n", "x = np.linspace(0, 1.5, 101)\n", "for i in range(20):\n", " plt.plot(x, phi[i] * (1 - np.exp(-k[i] * x)) ** theta[i], \"gray\", lw=1.5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first graph (body mass vs age) is showing that opening kill tries to start leveling off around age 12\n", "\n", "The second graph (nuts per second vs age) shows many different developmental patterns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.11" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "d[\"age_prop\"] = d.age.values / d.age.max()\n", "\n", "tdf = dataframe_to_tensors(\"Nuts\", d, [\"nuts_opened\", \"age_prop\", \"seconds\"])\n", "\n", "\n", "def model_16_4(seconds, age):\n", " def _generator():\n", " phi = yield Root(\n", " tfd.Sample(tfd.LogNormal(tf.math.log(1.0), 0.1, name=\"phi\"), sample_shape=1)\n", " )\n", " k = yield Root(\n", " tfd.Sample(tfd.LogNormal(tf.math.log(2.0), 0.25, name=\"k\"), sample_shape=1)\n", " )\n", " theta = yield Root(\n", " tfd.Sample(\n", " tfd.LogNormal(tf.math.log(5.0), 0.25, name=\"theta\"), sample_shape=1\n", " )\n", " )\n", "\n", " term1 = phi[..., tf.newaxis]\n", " term2 = (1 - tf.exp(-k[..., tf.newaxis] * age)) ** theta[..., tf.newaxis]\n", "\n", " lambda_ = seconds * term1 * term2\n", "\n", " n = yield tfd.Independent(tfd.Poisson(lambda_), reinterpreted_batch_ndims=1)\n", "\n", " return tfd.JointDistributionCoroutine(_generator, validate_args=False)\n", "\n", "\n", "jdc_16_4 = model_16_4(tdf.seconds, tdf.age_prop)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /Users/ksachdeva/rethinkingtfp/lib/python3.7/site-packages/tensorflow_probability/python/distributions/distribution.py:342: calling Poisson.__init__ (from tensorflow_probability.python.distributions.poisson) with interpolate_nondiscrete is deprecated and will be removed after 2021-02-01.\n", "Instructions for updating:\n", "The `interpolate_nondiscrete` flag is deprecated; instead use `force_probs_to_zero_outside_support` (with the opposite sense).\n" ] }, { "data": { "text/plain": [ "StructTuple(\n", " var0=,\n", " var1=,\n", " var2=,\n", " var3=\n", ")" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jdc_16_4.sample(2)\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "NUM_CHAINS_FOR_16_4 = 2\n", "\n", "# Note - if I use zeros as the starting point\n", "# then the sampled params are really bad\n", "#\n", "# So starting the init state sampled from the model\n", "# itself\n", "phi_init, k_init, theta_init, _ = jdc_16_4.sample()\n", "\n", "init_state = [\n", " tf.tile(phi_init, (NUM_CHAINS_FOR_16_4,)),\n", " tf.tile(k_init, (NUM_CHAINS_FOR_16_4,)),\n", " tf.tile(theta_init, (NUM_CHAINS_FOR_16_4,)),\n", "]\n", "\n", "\n", "bijectors = [\n", " tfb.Identity(),\n", " tfb.Identity(),\n", " tfb.Identity(),\n", "]\n", "\n", "posterior_16_4, trace_16_4 = sample_posterior(\n", " jdc_16_4,\n", " observed_data=(tdf.nuts_opened,),\n", " params=[\"phi\", \"k\", \"theta\"],\n", " init_state=init_state,\n", " bijectors=bijectors,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.12" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 261, "width": 393 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "post_phi = trace_16_4.posterior[\"phi\"].values[0]\n", "post_k = trace_16_4.posterior[\"k\"].values[0]\n", "post_theta = trace_16_4.posterior[\"theta\"].values[0]\n", "\n", "plt.subplot(xlim=(0, 1), ylim=(-0.1, 1.5), xlabel=\"age\", ylabel=\"nuts per second\")\n", "at = np.array([0, 0.25, 0.5, 0.75, 1, 1.25, 1.5])\n", "ax.set(xticks=at, xticklabels=np.round(at * d.age.max()))\n", "\n", "# raw data\n", "pts = d.nuts_opened.values / d.seconds.values\n", "normalize = lambda x: (x - np.min(x)) / (np.max(x) - np.min(x))\n", "point_size = normalize(d.seconds.values)\n", "eps = (d.age_prop[1:] - d.age_prop[:-1]).max() / 5\n", "jitter = eps * tfd.Uniform(low=-1, high=1).sample(d.age_prop.shape)\n", "plt.scatter(\n", " d.age_prop.values + jitter,\n", " pts,\n", " s=(point_size * 3) ** 2 * 20,\n", " color=\"b\",\n", " facecolors=\"none\",\n", ")\n", "\n", "# 30 posterior curves\n", "x = np.linspace(0, 1.5, 101)\n", "for i in range(30):\n", " plt.plot(x, post_phi[i] * (1 - np.exp(-post_k[i] * x)) ** post_theta[i], \"gray\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 16.4 Population dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.13" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 265, "width": 382 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "d = RethinkingDataset.LynxHare.get_dataset()\n", "plt.plot(np.arange(1, 22), d.iloc[:, 2], \"ko-\", lw=1.5)\n", "plt.gca().set(ylim=(0, 90), xlabel=\"year\", ylabel=\"throusands of pelts\")\n", "at = np.array([1, 11, 21])\n", "plt.gca().set(xticks=at, xticklabels=d.Year.iloc[at - 1])\n", "plt.plot(np.arange(1, 22), d.iloc[:, 1], \"bo-\", lw=1.5)\n", "plt.annotate(\"Lepus\", (17, 80), color=\"k\", ha=\"right\", va=\"center\")\n", "plt.annotate(\"Lynx\", (19, 50), color=\"b\", ha=\"right\", va=\"center\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above graph is showing 20 years of Lynx & hare pelts (attacks).\n", "\n", "They seem to be related to each other. Both fluctuate but they seem to fluctuate together" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.14" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "def sim_lynx_hare(n_steps, init, theta, dt=0.002):\n", " L0 = init[0]\n", " H0 = init[1]\n", "\n", " def f(val, i):\n", " H, L = val\n", " H_i = H + dt * H * (theta[0] - theta[1] * L)\n", " L_i = L + dt * L * (theta[2] * H - theta[3])\n", " return (H_i, L_i)\n", "\n", " (H, L) = tf.scan(f, np.arange(n_steps - 1), (H0, L0))\n", "\n", " H = np.concatenate([np.expand_dims(H0, -1), H.numpy()])\n", " L = np.concatenate([np.expand_dims(L0, -1), L.numpy()])\n", "\n", " return np.stack([L, H], axis=1)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.15" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 263, "width": 383 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "theta = np.array([0.5, 0.05, 0.025, 0.5])\n", "z = sim_lynx_hare(int(1e4), d.values[0, 1:3], theta)\n", "plt.plot(z[:, 1], color=\"black\", lw=2) # Hare population\n", "plt.plot(z[:, 0], color=\"blue\", lw=2) # Lynx population\n", "\n", "plt.gca().set(ylim=(0, np.max(z[:, 1]) + 1), ylabel=\"number (thousands)\", xlabel=\"\")\n", "plt.title(\"time\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Code 16.16" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 252, "width": 378 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = int(1e4)\n", "Ht = int(1e4)\n", "p = tfd.Beta(2, 18).sample((N,)).numpy()\n", "h = tfd.Binomial(Ht, probs=p).sample().numpy()\n", "h = np.round(h / 1000, 2)\n", "az.plot_kde(h, label=\"thousand of pelts\", bw=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code 16.17\n", "\n", "\n", "Ordinary differential equations\n" ] } ], "metadata": { "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": "3.7.12" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }