{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"execution": {},
"id": "view-in-github"
},
"source": [
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"# Example Model Project: the Train Illusion\n",
"\n",
"Marius t'Hart, Megan Peters, Paul Schrater, Gunnar Blohm\n",
"\n",
"**Disclaimer**: this is a \"toy\" model used to demonstrate the [10 step procedure of how-to-model](https://doi.org/10.1523/ENEURO.0352-19.2019). It is not meant to be state of the art research."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Phenomenon\n",
"*Part of Steps 1-2*\n",
"\n",
"The train illusion occurs when sitting on a train and viewing another train outside the window. Suddenly, the other train *seems* to move, i.e. you experience visual motion of the other train relative to your train. But which train is actually moving?\n",
"\n",
"Often people have the wrong percept. In particular, they think their own train might be moving when it's the other train that moves; or vice versa. The illusion is usually resolved once you gain vision of the surroundings that lets you disambiguate the relative motion; or if you experience strong vibrations indicating that it is indeed your own train that is in motion."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Question\n",
"\n",
"*Part of Step 1*\n",
"\n",
"We asked the following (arbitrary) question for our demo project: \"How do noisy vestibular estimates of motion lead to illusory percepts of self motion?\""
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Background\n",
"*Part of Step 2*\n",
"\n",
"You have learned all about the vestibular system in the Intro video. This is also where you would do a literature search to learn more about what's known about self-motion perception and vestibular signals. You would also want to examine any attempts to model self-motion, perceptual decision making and vestibular processing."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Ingredients\n",
"\n",
"*Part of step 3*\n",
"\n",
"We determined that we probably needed the following ingredients for our model:\n",
"* Vestibular input: $v(t)$\n",
"* Binary decision output: $d$ - time dependent?\n",
"* Decision threshold: $\\theta$\n",
"* A filter (maybe running average?): $f$\n",
"* An integration mechanism to get from vestibular acceleration to sensed velocity: $\\int$"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Hypotheses\n",
"\n",
"*Part of step 4*\n",
"\n",
"Our main hypothesis is that the strength of the illusion has a linear relationship to the amplitude of vestibular noise.\n",
"\n",
"Mathematically, this would write as $S = k \\cdot N$, where $S$ is the illusion strength and $N$ is the noise level, and $k$ is a free parameter.\n",
">we could simply use the frequency of occurance across repetitions as the \"strength of the illusion\"\n",
"\n",
"We would get the noise as the standard deviation of $v(t)$, i.e. $N=\\mathbf{E}[v(t)^2]$, where $\\mathbf{E}$ stands for the expected value.\n",
"\n",
"Do we need to take the average across time points?\n",
"> doesn't really matter because we have the generative process, so we can just use the $\\sigma$ that we define"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Selected toolkit\n",
"\n",
"*Part of step 5*\n",
"\n",
"We chose to use a [Drift-Diffusion Model (DDM)](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2474742/) because it is a well-established framework that allows us to model decision making in the case of 2 alternative choices (here: self-motion vs. other train motion).\n",
"\n",
"For our purposes simplest equation looks something like this: \n",
"\\begin{align}\n",
"\\dot e = \\frac{de}{dt}= -c \\cdot e + v\n",
"\\end{align},\n",
" where $e$ is the accumulated evidence and $v$ is our vestibular input already containing the noise (so we don't need to add more noise?). $c$ is the leakage constant, i.e. $c=0$ means perfect integration; $c=1$ means no integration (perfect leakage)."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Model draft\n",
"\n",
"*Part of step 6*\n",
"\n",
"Brainstorming on the whiteboard, we came up with this...\n",
"\n",
"![picture](https://github.com/NeuromatchAcademy/course-content/blob/main/tutorials/static/modeling_step6.png?raw=1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Model implementation\n",
"\n",
"*Part of step 7*\n",
"\n",
"We need at least 3 functions:\n",
"1. vestibular signal generator\n",
"2. integrator (or drift-diffusion mechanism)\n",
"3. decision mechanism (threshold comparison)\n",
"\n",
"**Note**: we did not add a filter (yet). We're not sure if we need one...\n",
"\n",
"So let's go step by step... first we need to get set up..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats import norm\n",
"!pip install pandas --quiet\n",
"plt.style.use('dark_background')"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"### 1. Vestibular signal generator"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"def vestibular_signal(sig, mov):\n",
" \"\"\"\n",
" Computes a vestibular signal that corresponds to the acceleration of the\n",
" train with different amplitudes of noise\n",
" Args:\n",
" sig: scalar SD of noise\n",
" mov: 0 means no self-motion; 1 means self-motion (or scaling or motion signal)\n",
" Returns: vector array of vestibular signal v\n",
" \"\"\"\n",
" # create white noise series for 10s with 1ms resolution\n",
" x = np.linspace(-7, 14, 1001)\n",
" z = 1/(1 + np.exp(-x))\n",
" noise = norm.rvs(size=1000)\n",
" v = sig*noise + mov*np.diff(z)/0.001\n",
"\n",
" return v"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Let's see if that works... (*unit test*)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'vestibular signal (a.u.)')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"v = vestibular_signal(1,1)\n",
"\n",
"# plot signal\n",
"t = np.linspace(0, 10, 1000)\n",
"plt.plot(t,v)\n",
"plt.xlabel(\"time (s)\")\n",
"plt.ylabel(\"vestibular signal (a.u.)\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"### 2. integrator (DDM mechanism)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"def ddm(v, c):\n",
" \"\"\"\n",
" Leaky integration of vestibular signal\n",
" Args:\n",
" v: array of vestibular signal\n",
" c: leakage constant\n",
" Outputs: time series of integrated vestibular signal (with leakage)\n",
" = evidence e\n",
" \"\"\"\n",
" e = np.random.normal(0, 0.1)\n",
" E = []\n",
" for i in range(len(v)):\n",
" e += -c*e + v[i]*0.001\n",
" E.append(e)\n",
" return E"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Let's test the DDM function... (*unit test*)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'integrated evidence')"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"e = ddm(v,c=0.001)\n",
"\n",
"# plot result\n",
"plt.plot(t,e)\n",
"plt.xlabel(\"time (s)\")\n",
"plt.ylabel(\"integrated evidence\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"### 3. thresholding (decision mechanism)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"def threshold(e, thr):\n",
" \"\"\"\n",
" Thresholding of motion evidence\n",
" Args:\n",
" motion evidence: e (array)\n",
" threshold: thr\n",
" Output: decision d if threshold was reached\n",
" \"\"\"\n",
" d = any(np.array(e) > thr)*1\n",
" return d"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Now let's test this function... (*unit test*)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d = threshold(e, .6)\n",
"d"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"## Assembling the model"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"def run_model(sig,c,thr,mov):\n",
" \"\"\"\n",
" runs the full model to simulate self-motion decision, e.g. for train illusion\n",
" Args:\n",
" sig: SD of vestibular noise\n",
" c: leakage constant\n",
" thr: decision threshold\n",
" mov: self-motion? ) no selfmotion; 1 self-motion\n",
" Output: decision d (0: no self-motion; 1: self-motion)\n",
" \"\"\"\n",
" v = vestibular_signal(sig, mov)\n",
" e = ddm(v,c)\n",
" d = threshold(e, thr)\n",
" return d"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Let's run the model and see if it works..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d = run_model(200,0.001,0.8,1)\n",
"d"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Model completion\n",
"\n",
"*Part of step 8*\n",
"\n",
"So the model seems to work. Running different parameters gives us different results. Are we done?\n",
"* **can we answer our question**: yes, in our model the illusion arises because integrating very noisy vestibular signals representing motion evidence sometimes accumulate to a decision threshold and sometimes do not reach that threshold.\n",
"* **can we speak to our hypothesis**: yes, we can now simulate different trials with different noise levels (and leakage and thrshold parameters) and evaluate the hypothesized linear relationship between vestibular noise and how often our perceptual system is fooled...\n",
"* **does the model reach our goals**: yes, we wanted to generate a mechanistic model to be able to make some specific predictions that can then be tested experimentally later...\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Model evaluation & testing\n",
"\n",
"*Part of step 9*\n",
"\n",
"Ok, so we still need to actually evaluate and test our model performance. Since this is a conceptual model and we don't have actual data (yet), we will evaluate how our model behaves as a function of the 3 parameters. If we had data with different conditions, we could try to fit the model to the data and evaluate the goodness of fit, etc... If other alterative models existed, we could evaluate our model against those alternatives too.\n",
"\n",
"So let's run out model in different parameter regimes and analyze the result to get some insight into the model performance"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"import itertools # to automatically generat possible combinations of parameters\n",
"\n",
"# define parameter list\n",
"params = {\n",
" 'sig': np.linspace(1,21,5)**2,\n",
" 'c': np.exp(np.linspace(-10,-1,5)),\n",
" 'thr': np.linspace(0,2,5),\n",
" 'mov': np.linspace(0,1,2),\n",
"}\n",
"\n",
"# run combination of parameters\n",
"keys = list(params)\n",
"D = []\n",
"for i in range(0,100):\n",
" for values in itertools.product(*map(params.get, keys)):\n",
" d = run_model(**dict(zip(keys, values)))\n",
" temp = list(values)\n",
" temp.append(d)\n",
" D.append(temp)"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Now let's explicitly test our hypothsis for different parameter combinations..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"image/png": 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H0a1bN+j1epeL/BX/78nBgwc9biuEQGpqqvPQwpLuuusuHD9+vEIT2OPHj+Ouu+6CUqmEzWYr17YLFy70yTnPN/ra/vzzT1itVrRt2xZffPGFc7lKpUKrVq2wdu1a5zJvPweV8ZhU+ZhXz5jXwusPKBQKl+uOlHTy5EksWLAAo0eP9tg/+Q7z6lkw57V+/fpo3LgxTpw4Uer53nvvPQBAtWrVSp1yQdJiXj0LxLx6UjwEKB6UxMXFAQAUCkWpdVUqFZTKq3/GxsXFeVwPgMu6VLmYV8/8Ja9luXZYWTxAvnboWPwftxcuXCj1GLVq1UK3bt3w0UcfwWKxeHwug8Hgco29Hj16wGAwYM+ePRXq3R0m34/58pzndevW4dVXX8WwYcMwd+5cAIXvlvH0008jJSXF5Z0s6tWrh/DwcJeL061btw6zZ89GmzZtnF/0TZo0wb333os5c+ZUqKcvv/wSDz/8MEaNGuVygT9v+OqcZ6B8r61p06YwGAw4c+YMACA3NxdJSUl48sknMXXqVOc3lqeeegp6vd7lB763n4PKeEyqfMyrZ8xr4R8C//73v0u9nmnTpkGv1+PFF190ufYIVS7m1bNgzuvEiRMRGxvr8ry33XYbpk2bhtmzZyM5OZmnN/oh5tWzQMxrjRo1Sv2BrFQqMWjQIBgMBvz9998AgGPHjsFut6N///5YunSpc934+Hh07twZu3fvdi47cuQI7r//fnTp0gU7d+50Lh8wYAAAOE+VosrHvHrmL3kNDw+HEKLUEXu9e/dGTEyMy7uqfvPNN1i4cCGefvppfPTRR84jn4vf+OGHH34o1dvjjz8OhULh9hRGTzp06IDevXvjvffeK/OdKCtCsMquxMREIQo/s6WqS5cuQggh+vTp47I8ISFBCCHE4MGDncu2b98uUlNTJXsdn3/+ubBYLGL27Nli6NChYvfu3cJisYjOnTu7rLd9+/ZSrzciIkIcPXpUnDt3TrzyyivixRdfFKdOnRLp6ekiNjb2utu7K7lcLn788UchhBCfffaZeP7558Urr7wiNm/eLB555JEq2y/leW1CCLF9+3aXZa1btxZGo1EcOHBADB8+XEydOlUYDAaxefPmCn8OKuMxQ6WYV+a1uPwxr9eW1F9nUhfzyrwWV1Xl1duvMwBi5MiRYsKECWLx4sVCCCHWrVsnJkyYICZMmCAiIyMl+3qTqphX5rW4biSvX331lUhKShJvvPGGeOaZZ8SECRPE33//LYQQYvTo0S7rLlu2TAghxLZt28TIkSPF2LFjxenTp4XVanX5fDVp0kTk5eWJ3NxcMX36dDFs2DCxatUqIYQQW7ZskTQ3UhXzyrwW17V5bdmypbhw4YJYtGiRGDVqlBgxYoRYvny5sFgs4p9//hExMTEu20+cONGZpeeff14sWbJE2O12sWrVKre9/fLLLyI9PV3IZDK399evX1+kpKSI8ePHi//7v/8Tc+fOFQUFBeLAgQMiIiLC1/tKmi/cQKpg+Wah0WjEW2+9JTIzM4XRaBQ///yzuO+++0qt5yns8fHxYu3ateLKlSsiNzdXfPvtt6JRo0al1vvll19EZmamVz1ptVoxdepUcfz4cWE2m0VmZqZYu3ataNiwYZXuG29fm7sf7gBEp06dxO7du4XBYBBZWVkiMTHRbVi9/RxU1mOGQjGv5fuaZl6rNq/uPn8cdjGvzGvV5tWbrzMA4sSJE8KThIQEyb7epCrmtXxf08yr+7z2799fbN26VZw9e1ZYLBZx6dIlsXXrVvGvf/2r1OMpFAoxcuRI8euvv4rc3FyRm5srtm3bJrp27Vpq3SZNmoi1a9eKU6dOCbPZLE6cOCHeeustERYWJtnXmpTFvJbvazqU8lq9enWxZMkS8ffff4u8vDxhMplEWlqamDdvnqhevbrb5xo5cqQ4fPiwMJvN4tSpU2LKlClCqVSWWq9JkyZCCCHmzJnjse9q1aqJ9evXi8zMTGEymcTx48fFzJkzK2PQJSDVFy4rOCsiIkJYLBYxYsQIyXthsVhlF/PKYgVOMa8sVuAU88piBU4xr8FbchD50D333IOMjAy8//77UrdCRNfBvBIFDuaVKHAwr0SBg3kNXjIUTr2IiIiIiIiIiIgCHo/sIiIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2EVEREREREREREFDKXUDUqhTpw7y8vKkboPIL+j1emRmZkrdhkfMK9FVzCtR4PD3vALMLFFJ/p5Z5pXoKm/yGnLDrjp16iAjI0PqNoj8Snx8vF/+cGdeiUpjXokCh7/mFWBmidzx18wyr0SlXS+vITfsKp6Gx8fHczJOIU+v1yMjI8Nvs8C8El3FvBIFDn/PK8DMEpXk75llXomu8javITfsKpaXl8dvFEQBgnklChzMK1FgYWaJAgfzSuQ9XqCeiIiIiIiIiIiCBoddREREREREREQUNDjsIiIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiChqTDrs6dO+Pbb79FRkYGhBB49NFHr7tNly5dcODAAZhMJhw9ehSDBw+ugk6JiHklChzMK1HgYF6JAgfzShQ4JB126XQ6/P777xg5cqRX6zdo0ACbNm3C9u3b0apVKyxYsAAffPAB7rvvvkrulIiYV6LAwbwSBQ7mlShwMK9EgUMp5ZNv3rwZmzdv9nr95557DidOnMArr7wCADh8+DDuvvtujB49Glu3bq2sNokIzCtRIJEyr+HhGtjtlnJtQxRMDAZzudaX+udrtZgoKNS8sgmFpiuXcsq1PvNKJJ3y5lXSYVd5dejQAUlJSS7LtmzZggULFnjcRq1WQ6PROG/r9XoAwB+piyCEtUJ9WK12FBSYkJ9vcvlocLOs+KOnZQUFZjgcjgr1ISW1WgmtVg2NRuVSWq2q1DJPywu3V7osUzuXq0rdp9WqoVYrIYSA1WqH1WqDxWKD1Wq75rbdZZn1mmUWi/Wa22U/hnfrX7tN4bJQ5su8/rRrNk6fPouM9IvIyLiE9PRLSE+/iPT0S8jIuIT8fGOlvIZgoVIpvc6gxkMGS+ddCY2b7wEajev3BpvNDoPBXPg90mBGQYEZBoMZhqLb7u67etv9cpMp8AcpYZF66KKrISI6GhEx1Zz/1sVUQ0R0NeiqVXP++6dPP8dPH6+p1H58mdez5z4BENrf/yi0Rej6VurjVySvgOfMnjr5PphZClUxsU+W+w/o8mBeiXynvHkNqGFXrVq1kJWV5bIsKysLUVFR0Gq1MJlMpbYZN24cJk+eXGp5QkJN+Ms3CqPRXGIAZkZ+vvGaIVrxsqsfC++/ukwIeBwQufxxes1ytYc/UD394Vpc5B2b7UYGaCWGdtdZ35shXMnHPHEiC+fOXa7U1+7LvLZs2RAtW9bz+Fw5OQXOAVimyzDsIq5cKYAQ4oZfT0UplEooNRqoNRootRqoNBooFIDDZILDaoZKIfdqsKTVqkvktex8lhxsabVqyV57ZXE4HCWGXxaPwzHDNcvLM1grz39CyORyhEdFFg6pYqILP0ZXQ0TJf18zyFKovP/xG1WzRkV2U7n4Mq9EVLkqkleAmSWSAvNKJJ2AGnZVxMyZMzFv3jznbb1ej4yMDHTrOg4FBQUVeky1WomICC10usIq/nfJj+Fl3Fe4nQYKhQIAEBamQViYBjVqRPnkNVc1i8UKs9kKk6nwY3FZLHZYbXZYrA7YHAI2O2AXgF3I4IAMdsjhgAJCrgAUSgiFElCoAJUaMqUacrUGMpUGQq6ATchgd8jgKJpZyGWAQiYglwFymYAMAsJqgbBZIaxWwG6FsNsAuw3CboNM2CFz2AGHHTKHAzI4IBcOyCAgh6Po8YoeV15YSoUcCrkMCoUMSoUcarUSKpUCKtXVj4XLrt6+llKpgFKpQFiYptR9Uhr90vtYuPBbqdsoxVNe+/aZierVw1C3bizi42MQXzfW+e9q1SIQFaVDVJQOt95aX8LuA0NxXs1mm0teTSZLqeXFyywell8tm4flVigUCuh0GoSHa6DTaa/5eHV5WInl195X/LF40C6XyxEREYaIiLBK208mkxVGkwUmsw1mqwMWqwNWB2B1yGCXKWCXKSEUKgilBlBpYIMcNocMVocMtqL1rELmcZldCJgKDCi4fAX52VcKP16+jILsK8i/fAUFly8jv+jfl8+erbTXeSM85bV2raeQl5fn9eO0vL87Hp86EQCwaf5inPw91ee9ElUVw5UcGAxm6PX+9x8NnjKb0GAo8vK9zyxRMKnMo7puBPNKVFpQn8Z47tw5xMXFuSyLi4tDTk6Ox6m4xWKBxVL6lJdffz1erl/GK4NWqy41AIuICCvx0f19uqL7ipdFRGghk8nc/OHq+sesxcMftNf+kWq1OSDkCgi5CkKuBJRKyJRqQKWGXK2FTKWBXKOFQquFUhsOjU4HrT4CWp0OWr0eWp0OmggdlCpV4VeYtoI7yFJUABx2O0z5BTAVFEAul0MdFgZV0VEyJfZo4QcZCp/Xx1/dNqMFlmwTLCYTLAYjrCYzLMb8wttGE6wmE2wWE4TZAofVDEfx8M1mhbBZIGx2wG4F7DbAYQccNsjsdshE0fANwu0ATaVSlFpWavCmVnkYxLl/jOzsyv/a92Vef/jhN495jYgIQ3x8dcTHx6CucwhWHfF1q6Nx8waIjomETC4DZDLIZHLI5DLISv1bduMv+DqEECUKEHIF7ELuHADbBGB3yJy37UIGu6PEfUW3jUYzCvIMMOQZkJebj/ycfORdyUVudg5ysq8g99IVXL54GVcuXMLl89kwGswuWZfyKLcbpVDISwzDPA/Orv2o04chKjoSkVE6ROh1iNCHIVynQXiYBmFaFbQaJTQqOVRKGeRFXwtabeERctcnALj/ei6L3W4vcXSZAwaDBgUF1WAwhKGgIMblyLQtW37Fxo2/lPs5ysOXeS0+is4bCS1vw6MTXoNNyLB9+afY+uGq8jdPFGIqklfAc2avZOdI/jsxUbBiXomkE1DDruTkZPTq1ctlWc+ePZGcnCxRRzfGZLLAZLLg0qVcnzyeXKEoHDxFhEMbEQFthK5oAFU0iHIujyz8WO3qoCpWpytcP0J3zQDpxjgcDpgLDDAXFMCYlw9zgaFwaJWfX/SxcIBVclnhuoUfi5dbjO5/GMjkcqi1WqjCNFCHhUGt1UIdpoVKqy28HVZ429Nylbbk/YUDtGvvl8sLLwKpVKuhVKsRHhXps/3jsq/sdpfBmcVYWAajETkmMyxGY+H9eSZYjUVDN2NB0bpGWExmWAzGax6j6LbBBKvZDFGF14erqrzm5xuRlpaOtLR0l+VafQTe3PkdlObynXZrNhhgNhgL952xcLBpMRpdlpkNhqL7ij6WuN91veJ/G+Gw2Us9l1YfUXSqW3Thx+qFp70Vn/4WERNTeOpbTDR01aKgUCoBhAOKaKAagGqF38Sji+paDocDxpxc5F++gvzsy84qKLqdl30ZBcXLL1+BISe3Sr9GystudyAvzwiLXQarKhw2nQ52TTQcUdWA6GpAdDTkMdUgj64GZXQ0lNHVoI6pBmN4OIwAzpV8MENRuRBQyACVXEAh7LAV5MKWnwe7sQAOUwEcJiNgNUFms0Bmt0Ah7FDAAZXMAZVShjCt+rpHsanVhV+PCoUCkZHhiIwMv+7rzskxVPqwS4qfr9G1a+HphbOh0mjw5/afsGnhe5X2XETBJNh+HyYKZswrkXQkHXbpdDrcfPPNztsNGzZEy5YtkZ2djTNnzmDGjBmIj4/H4MGDAQBLlizBqFGjMHv2bCxfvhz33nsv+vXrh4ceekiql1CpZHI5dNWiEFE9BvrqMdBXj0ZETNHHomUR1WOgj4lGWGQkNOG+PaXHbDDAlFd6GFU8oDLnF8CYnw9zfgFMBQaY8vIL1y3+mF8Ai8FYqUeSCIejaDhhAFA516BSajRQazWFA7HwEgOx4gFamNbNoE3rXF9dtH6pwVrRgE6pKjo1S6EoHErqdJXyOgAUHo1mMuH7d5Yi+Yv15do20PLa+K62UKpUuHz2HH765HPn0KlwAOV+YGU1mav0yCdTXj5Mefm4eOrMddeVyWQIi9QXDsKKShddDfqY6MLrRMWUGJTFRCO8WhTkcjl0RdeMirupwXWfw2G3o+BKjstArHgQln/pMvIvXx2W5V26DFNe3g3vL5lMBq1ej4ji61kVX7C9xAXaXZZHV6vQQN5mtRadIlj02opeX/G/C4qqeJkhJ7dSvhaUSoXXR6QV379z55/lfh5/z6smPBz/t+ht6KvHIOPwEawaM9mvB61Elcnf80pEVzGvRIFD0mFX27ZtsWPHDuft+fPnAwA++ugjPP3006hduzbq1796DZ6TJ0/ioYcewvz58/Hiiy8iPT0dzz77bIXetlUqCqUSupho6KtHFw2wCgdWETGut/XVY6CrFgV50XW9ysNiNF0zjDIUfnQOrUocUeUcUF0zwCow8A+PIjazGTazGYYc3xyBdy25UlF4dJq2eEBW+G/NtQOy8BJHpl07WAu75si0EveXHIKqtBqotJrC0/rKKdDy2rTTXQCAP5J24KdPKved7KqCEAKGnFwYcnJx/sSp665fPCzXlRiAlRyI6aKrIaJ6NPQxMYUDsaLvN8Xfh7xht9muDsXcHj12BXKl4urA6pqLtxc/b+ERa+VjMZpcBlcug6zsomtelfi3Kb9i12j0NZvNjtxcA3JzSx1W5lP+nFeZXI6Bs99EnSY3I/fiJSz/72uwGPmOqhS6/DmvROSKeSUKHDIUXnAkZOj1euTm5iIyMtJn5zurtBq3wyp90RCr5O3yngLncDhguJKDvEvZhX9EXspG3qXLhbcvZSOvaFlBTg5MRacJ2m3+8S6T5B9kMhmUGrXLqZr52ZdhyMmtlDz40o30N3HrekTXroVlw19C2t6fK6nD4CFXKqCLiio6lTLaZSDmcqpl0aAqLFLv0+c35uV7vEh7wZWcEssLB1qeTm0OZsGS13+9/F90HfIErGYz3n16BE6n/l2FXRJVDX/PKxAYPRJVFX/Pg7/3R1SVvM1DQF2zyx90GtAXN9/ZpsRgK7rcp53ZbbaiwdVl5xDLObwqquJlBZevwGEvfa0fIm8JIWA1mWE1mVFwxT/fccbX4m5qgOjatWA1mXH8wEGp2wkIDpvd+f3HGwqVqnAY5jxyrPAaYy5Hj8VUg8Nmd54m6OndBgsuX4Hdaq3kV0j+4M7H/oWuQ54AAKyZOI2DLiIiIiKqFBx2lUNsQj30Hv+y2/usZnPRwKqMAVbR8sq6FgwRFWp6d3sAwPH9v8Fm9u5d4ah87FYrcs9fQO75C1K3QgGiUdvW6Pv6awCALe9+gIObkyTuiIiIiIiCFYdd5dC8c0cAwJm/D2Pb+yudg6z8bP+5HgwRAc06Fl6v6/CeFIk7ISIAqF6vLgbPnwmFSonfvv8BW9/7UOqWiIiIiCiIcdhVDs07dwAA/LpxC1KTdkjbDBG5pdJqcFPb1gCANA67iCQXFqnHs4vnQFctCqf++AtrXp8udUtEREREFOTkUjcQKNRhYWhU9Af0oV17Je6GiDxp1LY1VBoNsjPPevWuhURUeeRKBQbNmYaaDRNw5VwWVrw4hqcWExEREVGl47DLS43vagOlWo2LZ9Jx4eRpqdshIg+adiy8XlfaHr4DI5HU/j1mNJp0uBNmgwEfjnoVeRcvSd0SEREREYUADru81Kzoel2HdyVL3AkRlaXZ3cXDLp7CSCSlu5/oi06P94HD4cCqsZORmXZU6paIiIiIKERw2OWl4ut18RRGIv8VXacWajZMgN1mw9Gf90vdDlHIatqpPR597SUAwKb57+Kv7bukbYiIiIiIQgqHXV6Ia9QQ0bVrwWoy49gvv0ndDhF50LRT4VFdJ39P5TukEkmkZsMEPPX2VMgVCuxbvxE7PloldUtEREREFGI47PJC86JTGI/u288L6xL5sWZFw6603bxeF5FUBs2ZhjB9BI7v/w3rpsyWuh0iIiIiCkEcdnmh+BRGXq+LyH/JlQo0vqstACBtL6/XRSSVmPg6uHgmHStHj4PdZpO6HSIiIiIKQRx2XYc2QoeGrVsCAA7t5rCLyF81aHk7tBE65F3KRsahI1K3QxSyjHl5+HDkKyi4kiN1K0REREQUojjsuo7G7dtBoVIi65+TyE7PlLodIvKg+HpdaXt/hhBC4m6IQtfqCdNw/sQpqdsgIiIiohDGYdd1FF+vi+/CSOTfmpUYdhGRdI7t4zuhEhEREZG0OOy6Duf1unbzGkBE/iqiejTq3tIUAHBk7z6JuyEiIiIiIiIpcdhVhvhmTRBZIxZmgwH/HDgodTtE5EHTDncBAM78dQj52Zcl7oaIiIiIiIikxGFXGZoVHdV1NOUX2K1WibshIk+a3V10CuMensJIREREREQU6jjsKsPV63XxXRiJ/JVMJkOTDncCAA7v4enGREREREREoY7DLg/CoyKR0OJWAMBhDruI/FZ886aIiImGMS8fp/74U+p2iIiIiIiISGIcdnnQtONdkCsUyDxyDFeyzkvdDhF5UHwK49Gf98Nhs0vcDREREREREUmNwy4Piq/XdXjXXok7IaKyNOtUfL0unsJIREREREREHHa5JZPLnX9A83pdRP5Lq49A/aLTjXlxeiIiIiIiIgL8YNg1YsQInDhxAkajESkpKWjXrl2Z67/44os4fPgwDAYDTp8+jXnz5kGj0fi0p3q3Niu8BlBuHk7+nurTxyYKdP6U2cZ3tYVCqUTWPydx+ew5nzwmUTDxp7wSUdmYV6LAwbwSBQYhVfXr10+YTCYxZMgQ0bx5c7F06VKRnZ0tatSo4Xb9AQMGCKPRKAYMGCASEhJEz549RUZGhpg7d67Xz6nX64UQQuj1eo/r3Pf8M2JuarJ4as40yfYNi1UV5U0eSlZVZ/Z6/f1n0lgxNzVZPPLai5LvSxarsivQ88pihVL5e14r0iOLFcxVnjwwryyWtFWOPEjXZEpKikhMTHTelslkIj09XYwZM8bt+omJiSIpKcll2Zw5c8SuXbt8umNe/OxDMTc1WbR7tJfkn0gWqzKrvD84qzqz1+tv4tb1Ym5qsmja8S7J9yWLVdkV6HllsUKp/D2vFemRxQrmKk8emFcWS9ryNg+SncaoUqnQpk0bJCUlOZcJIZCUlIQOHTq43Wbv3r1o06aN8zDRhg0bolevXvjuu+88Po9arYZer3epskRUj0b9228BABzezQteExWrisyWJ69xNzVAdO1asJrMOH7gYMVfGFEQ8re8EpFn/vo7MRGVxrwSBQ6lVE8cGxsLpVKJrKwsl+VZWVlo1qyZ221Wr16N2NhY7N69GzKZDCqVCu+99x5mzpzp8XnGjRuHyZMne91X046FF6Y/8/dh5F3K9no7omBXFZktT16b3l2Y1eP7f4PNbPb+hRCFAH/LKxF55q+/ExNRacwrUeCQ/AL15dGlSxeMHz8eI0aMwB133IHHHnsMDz30ECZOnOhxm5kzZyIyMtJZ8fHxZT5H886FE/nDfBdGohtW3syWJ6/NOt4FADi8h0dgEvlCZeaViHyrKn4nJiLfYF6JpCHZkV0XL16EzWZDXFycy/K4uDicO+f+XdWmTp2KTz75BB9++CEA4M8//4ROp8OyZcswffp0CCFKbWOxWGCxWLzqSa5QoGmnwj+gD+3aW56XQxT0qiKz3uZVpdXgpratAQBpHHYRleJPeSWisvnj78RE5B7zShQ4JDuyy2q14sCBA+jevbtzmUwmQ/fu3ZGc7P6oqvDwcDgcDpdldrvdue2NSmhxK8IjI1FwJQenU/++4ccjCib+lNlGbVtDpdEgO/Mszp84VeHHIQpW/pRXIiob80oUOJhXosAi2VX0+/XrJ4xGoxg0aJBo1qyZWLJkicjOzhY1a9YUAMTKlSvFjBkznOtPmjRJ5OTkiP79+4sGDRqIHj16iKNHj4o1a9b45Mr9D77wnJibmiwGzpos+TsMsFhVURV5a/SqzKyn/h4d85KYm5os+r7h/l1vWKxgrEDNK4sViuXvea1IjyxWMFd58sC8sljSlrd5kOw0RgBYu3YtatSogSlTpqBWrVo4ePAgHnjgAZw/fx4AUL9+fZcp+LRp0yCEwLRp0xAfH48LFy5gw4YNmDBhgk/6Kb5eF09hJHLPXzLbrFPhxen5jqlEnvlLXono+phXosDBvBIFBhkKp14hQ6/XIzc3F5GRkcjLy3Muj6xZA5O2fQuHw4HJXXqh4EqOhF0SVQ1PefAX7vqLia+NCZu/gt1mwxudH4Apv0DiLomqRiDmlShUBUIeAqFHoqri73nw9/6IqpK3eQiod2OsTM3vLjxS5HTqXxx0Efmxph0Ls3ry91QOuoiIiIiIiKgUDruKNOvcEQBwaJf7CwsSkX8ofsfUtN0/S9wJERERERER+SMOuwAolEo06dAOAHCY1+si8lsKpRKN72oLAEjby+t1ERERERERUWkcdgFoeEdLaHU65F68hIxDR6Ruh4g8SGh1O7QROuRdymZWiYiIiIiIyC0OuwA0LzqFMW1PCoQIqev1EwWUph2LTmHc+zOzSkRERERERG5x2AWgWdHF6Xm9LiL/1qxTYVbT9vJ6XUREREREROReyA+7ouvUQq2bb4LdZsOR5H1St0NEHkRUj0bdW5oCAI7sZVaJiIiIiIjIvZAfdjW7uwMA4OTvqTDm5kncDRF50rRD4SmMZ/46hPzsyxJ3Q0RERERERP4q5IddxdfrOsxTGIn8WvHpxml7eAojEREREREReRbSwy6lWo3Gd7UFABzatVfibojIE5lc7rw4/eE9KRJ3Q0RERERERP4spIddjdq2hjpMiytZ53H2yHGp2yEiD+KbNoYuuhqMefk49cefUrdDREREREREfiykh13NOhder4tHdRH5t8btC4/APPrzfjhsdom7ISIiIiIiIn8W0sMuXq+LKDA0ad8OAJDGUxiJiIiIiIjoOkJ22FW9XjxqJNSDzWrF0ZT9UrdDRGWoe2tzALw4PREREREREV1fyA67ii92/c+BgzAbDBJ3Q0RlUSiVyPrnJC6fPSd1K0REREREROTnQnfY1eFOADyFkShQ8F0YiYiIiIiIyBshO+xqeEdLALw4PVGgSNvNYRcRERERERFdX8gOu5RqNS6lZ+L8iVNSt0JE12E1mXH8wEGp2yAiIiIiIqIAELLDLgA4vJunMBIFghO//QGb2Sx1G0RERERERBQAQnrYdegnnsJIFAjWTp4hdQtEREREREQUIEJ22GU1m3HslwNSt0FEXjDk5ErdAhEREREREQWIkB12/fPr77CaeFoUEREREREREVEwkXzYNWLECJw4cQJGoxEpKSlo165dmetHRUVh0aJFyMzMhMlkQlpaGh588MFyP++O5Z9WtGWikCZVZomo/JhXosDBvBIFDuaVKDAIqapfv37CZDKJIUOGiObNm4ulS5eK7OxsUaNGDbfrq1QqsW/fPrFx40bRsWNHkZCQIO655x7RokULr59Tr9cLIYTQ6/WSvW4Wy1+qvHmo6swyryzW1WJeWazAKX/Pa0V6ZLGCucqTB+aVxZK2ypEH6ZpMSUkRiYmJztsymUykp6eLMWPGuF1/+PDh4tixY0KpVFbFjmGxgr7Km4eqzizzymJdLeaVxQqc8ve8VqRHFiuYqzx5YF5ZLGnL2zxIdhqjSqVCmzZtkJSU5FwmhEBSUhI6dOjgdptHHnkEycnJWLx4Mc6dO4fU1FSMGzcOcrnnl6FWq6HX612KiMqvKjLLvBL5BvNKFDj4OzFR4GBeiQKHZMOu2NhYKJVKZGVluSzPyspCrVq13G5z0003oW/fvlAoFOjVqxemTp2Kl19+GRMnTvT4POPGjUNubq6zMjIyfPo6iEJFVWSWeSXyDeaVKHDwd2KiwMG8EgUWSQ49q127thBCiPbt27ssnz17tkhJSXG7TVpamjh16pSQy+XOZaNHjxaZmZken0etVgu9Xu+sOnXq8BBQFquoynNIdFVklnllsTwX88piBU75W14BZpbFKqu8zSzzymJJX97mVQmJXLx4ETabDXFxcS7L4+LicO7cObfbnD17FlarFQ6Hw7ns0KFDqF27NlQqFaxWa6ltLBYLLBaLb5snCkFVkVnmlcg3mFeiwMHfiYkCB/NKFDgkO43RarXiwIED6N69u3OZTCZD9+7dkZyc7HabPXv24Oabb4ZMJnMua9KkCTIzM91+kyAi32FmiQIH80oUOJhXosDBvBIFFskOP+vXr58wGo1i0KBBolmzZmLJkiUiOztb1KxZUwAQK1euFDNmzHCuX7duXZGTkyPeeecd0bhxY9GrVy9x7tw5MX78eJ8f8sZihUJV5K3RqzKzzCuLdbWYVxYrcMrf81qRHlmsYK7y5IF5ZbGkrXLkQdpGR44cKU6ePClMJpNISUkRd955p/O+7du3ixUrVris3759e5GcnCyMRqM4duyYGDdunMv5zz7cMSxW0FdF8lCVmWVeWayrxbyyWIFT/p7XivbIYgVrlTcPzCuLJV15mwdZ0T9Chl6vR25uLiIjI5GXlyd1O0SS8vc8+Ht/RFXJ3/Pg7/0RVaVAyEMg9EhUVfw9D/7eH1FV8jYPkl2zi4iIiIiIiIiIyNc47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiChocNhFRERERERERERBg8MuIiIiIiIiIiIKGhx2ERERERERERFR0OCwi4iIiIiIiIiIggaHXUREREREREREFDQ47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiChocNhFRERERERERERBg8MuIiIiIiIiIiIKGhx2ERERERERERFR0OCwi4iIiIiIiIiIggaHXUREREREREREFDQ47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiChocNhFRERERERERERBg8MuIiIiIiIiIiIKGn4x7BoxYgROnDgBo9GIlJQUtGvXzqvt+vfvDyEE1q9fX8kdElEx5pUocDCvRIGDeSUKHMwrUWAQUla/fv2EyWQSQ4YMEc2bNxdLly4V2dnZokaNGmVul5CQIM6cOSN27twp1q9f7/Xz6fV6IYQQer1e0tfNYvlDlTcPzCuLJV0xryxW4JS/57UiPbJYwVzlyQPzymJJW+XIg7SNpqSkiMTEROdtmUwm0tPTxZgxYzxuI5fLxe7du8X//d//iRUrVvCXcRarglXePDCvLJZ0xbyyWIFT/p7XivTIYgVzlScPzCuLJW15mwdJT2NUqVRo06YNkpKSnMuEEEhKSkKHDh08bvfGG2/g/PnzWL58+XWfQ61WQ6/XuxQRlR/zShQ4mFeiwFEVeQWYWSJfYF6JAoekw67Y2FgolUpkZWW5LM/KykKtWrXcbtOpUyc888wzGDp0qFfPMW7cOOTm5jorIyPjhvsmCkXMK1HgYF6JAkdV5BVgZol8gXklChx+cYF6b0VEROCTTz7B0KFDcenSJa+2mTlzJiIjI50VHx9fyV0SEcC8EgUS5pUocFQkrwAzSyQF5pVIOkopn/zixYuw2WyIi4tzWR4XF4dz586VWr9Ro0Zo2LAhNmzY4FwmlxfO66xWK5o2bYp//vnHZRuLxQKLxVIJ3ROFFuaVKHAwr0SBoyryCjCzRL7AvBIFDkmP7LJarThw4AC6d+/uXCaTydC9e3ckJyeXWv/w4cO47bbb0KpVK2d9++232L59O1q1aoUzZ85UZftEIYV5JQoczCtR4GBeiQIH80oUOCQ9sgsA5s2bh5UrV2L//v3Yt28fXnrpJeh0OqxYsQIAsHLlSmRkZGD8+PEwm83466+/XLa/cuUKAJRaTkS+x7wSBQ7mlShwMK9EgYN5JQoMkg+71q5dixo1amDKlCmoVasWDh48iAceeADnz58HANSvXx8Oh0PiLokIYF6JAgnzShQ4mFeiwMG8EgUGGQAhdRNVSa/XIzc3F5GRkcjLy5O6HSJJ+Xse/L0/oqrk73nw9/6IqlIg5CEQeiSqKv6eB3/vj6gqeZuHgHo3RiIiIiIiIiIiorJw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiCBoddREREREREREQUNDjsIiIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiCBoddREREREREREQUNDjsIiIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiCBoddREREREREREQUNPxi2DVixAicOHECRqMRKSkpaNeuncd1n332Wfz000/Izs5GdnY2fvjhhzLXJyLfYl6JAgfzShQ4mFeiwMG8Evk/yYdd/fr1w7x58/Dmm2/ijjvuwO+//44tW7agRo0abtfv2rUrVq9ejW7duqFDhw44c+YMtm7dijp16lRx50Shh3klChzMK1HgYF6JAgfzShQ4hJSVkpIiEhMTnbdlMplIT08XY8aM8Wp7uVwucnJyxFNPPeXV+nq9XgghhF6vl/R1s1j+UOXNA/PKYklXzCuLFTjl73mtSI8sVjBXefLAvLJY0pa3eZD0yC6VSoU2bdogKSnJuUwIgaSkJHTo0MGrxwgPD4dKpUJ2drbb+9VqNfR6vUsRUfkxr0SBg3klChxVkVeAmSXyBeaVKHBIOuyKjY2FUqlEVlaWy/KsrCzUqlXLq8eYPXs2MjMzXb7hlDRu3Djk5uY6KyMj44b7JgpFzCtR4GBeiQJHVeQVYGaJfIF5JQockl+z60aMGTMGjz/+OB577DGYzWa368ycORORkZHOio+Pr+IuiQhgXokCCfNKFDi8ySvAzBL5A+aVqOoopXzyixcvwmazIS4uzmV5XFwczp07V+a2L7/8MsaOHYsePXogNTXV43oWiwUWi8Un/RKFMuaVKHAwr0SBoyryCjCzRL7AvBIFDkmP7LJarThw4AC6d+/uXCaTydC9e3ckJyd73O7VV1/F66+/jgceeAAHDhyoilaJQh7zShQ4mFeiwMG8EgUO5pUosEh6Jf1+/foJo9EoBg0aJJo1ayaWLFkisrOzRc2aNQUAsXLlSjFjxgzn+q+99powmUyid+/eIi4uzlk6nc6nV+5nsUKhypsH5pXFkq6YVxYrcMrf81qRHlmsYK7y5IF5ZbGkrXLkQfpmR44cKU6ePClMJpNISUkRd955p/O+7du3ixUrVjhvnzhxQrgzadIkX+8YFivoqyJ5YF5ZLGmKeWWxAqf8Pa8V7ZHFCtYqbx6YVxZLuvI2D7Kif4QMvV6P3NxcREZGIi8vT+p2iCTl73nw9/6IqpK/58Hf+yOqSoGQh0Dokaiq+Hse/L0/oqrkbR4C+t0YiYiIiIiIiIiISuKwi4iIiIiIiIiIggaHXUREREREREREFDQ47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiChocNhFRERERERERERBg8MuIiIiIiIiIiIKGhx2ERERERERERFR0OCwi4iIiIiIiIiIggaHXUREREREREREFDQ47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiChocNhFRERERERERERBg8MuIiIiIiIiIiIKGhx2ERERERERERFR0OCwi4iIiIiIiIiIggaHXUREREREREREFDQ47CIiIiIiIiIioqDBYRcREREREREREQUNDruIiIiIiIiIiCho+MWwa8SIEThx4gSMRiNSUlLQrl27Mtfv27cvDh06BKPRiD/++AMPPvhgFXVKRMwrUeBgXokCB/NKFDiYV6LAIKSsfv36CZPJJIYMGSKaN28uli5dKrKzs0WNGjXcrt+hQwdhtVrFK6+8Ipo1ayamTJkizGazuPXWW716Pr1eL4QQQq/XS/q6WSx/qPLmgXllsaQr5pXFCpzy97xWpEcWK5irPHlgXlksaasceZC20ZSUFJGYmOi8LZPJRHp6uhgzZozb9desWSM2bNjgsiw5OVm89957vt4xLFbQV3nzwLyyWNIV88piBU75e14r0iOLFcxVnjwwryyWtOVtHpSQkEqlQps2bTBz5kznMiEEkpKS0KFDB7fbdOjQAfPmzXNZtmXLFvz73/92u75arYZGo3He1uv1Lh+JQll5csC8EkmLeSUKHP6WV4CZJSqLtzlgXomk520OJB12xcbGQqlUIisry2V5VlYWmjVr5nabWrVquV2/Vq1abtcfN24cJk+eXGp5RkZGxZomCkJ6vR55eXllrsO8EvkH5pUocPhLXgFmlsgb18ss80rkP66XV0mHXVVh5syZLpN0vV6PjIwMxMfHX/eXDyof7tvKVVn7V6/XIzMz02ePdyOY16rDfVu5mFd+Tfka92/lCYW8AsxsVeK+rTyVuW/9KbPMa9Xhvq08UudV0mHXxYsXYbPZEBcX57I8Li4O586dc7vNuXPnyrW+xWKBxWIptTwvL49fzJWE+7Zy+Xr/evtYzGtw4r6tXMwr+Rr3b+UJ5rwCzKwUuG8rT2XsW28ej3kNXty3lUeqvMp9+ozlZLVaceDAAXTv3t25TCaToXv37khOTna7TXJyssv6ANCzZ0+P6xORbzCvRIGDeSUKHMwrUeBgXokCi6RX0u/Xr58wGo1i0KBBolmzZmLJkiUiOztb1KxZUwAQK1euFDNmzHCu36FDB2GxWMT//vc/0bRpUzFp0iS+NbqfFPdt8O9f5jV4ivs2+Pcv8xpcxf0b3Pu2qvPqL687WIv7Nrj3LfMaXMV9G9T7VvqdMHLkSHHy5ElhMplESkqKuPPOO533bd++XaxYscJl/b59+4rDhw8Lk8kkUlNTxYMPPuj1c6nVajFp0iShVqslf93BVty3obF/mdfgKO7b0Ni/zGvwFPdv8O/bqsyrP73uYCzu2+Dft8xr8BT3bfDuW1nRP4iIiIiIiIiIiAKepNfsIiIiIiIiIiIi8iUOu4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQCLlh14gRI3DixAkYjUakpKSgXbt2Urfk18aOHYt9+/YhNzcXWVlZWL9+PZo0aeKyjkajwaJFi3Dx4kXk5eVh3bp1qFmzpss69erVw8aNG1FQUICsrCy89dZbUCgUVflS/N6YMWMghMD8+fOdy0J93zKv5cO8Vh3mtTTmtXyY16rDvJbGvJYfM1s1mNfSmNfyY16rRiDkVYRK9evXT5hMJjFkyBDRvHlzsXTpUpGdnS1q1KgheW/+Wt9//70YPHiwuOWWW0SLFi3Exo0bxcmTJ0V4eLhznXfffVecOnVKdOvWTdxxxx1i7969Yvfu3c775XK5+OOPP8TWrVtFy5YtxQMPPCDOnz8vpk+fLvnr85dq27at+Oeff8TBgwfF/PnzuW/BvFakmNeqKea1dDGv5S/mtWqKeS1dzGvFipmt/GJeSxfzWrFiXiu/AiSv0u+oqqqUlBSRmJjovC2TyUR6eroYM2aM5L0FSsXGxgohhOjcubMAICIjI4XZbBZ9+vRxrtO0aVMhhBB33XWXACAeeOABYbPZRM2aNZ3rDB8+XFy5ckWoVCrJX5PUpdPpRFpamujevbvYvn2785tFqO9b5vXGi3n1fTGv7ot5vfFiXn1fzKv7Yl59U8ysb4t5dV/Mq2+KefVtBUpeQ+Y0RpVKhTZt2iApKcm5TAiBpKQkdOjQQcLOAktUVBQAIDs7GwDQpk0bqNVql/2alpaGU6dOOfdrhw4dkJqaivPnzzvX2bJlC6KionDrrbdWYff+afHixdi0aRO2bdvmsjyU9y3z6hvMq+8xr6Uxr77BvPoe81oa8+o7zKxvMa+lMa++w7z6VqDkVenTR/NjsbGxUCqVyMrKclmelZWFZs2aSdRVYJHJZFiwYAF2796Nv/76CwBQq1YtmM1m5OTkuKyblZWFWrVqOddxt9+L7wtl/fv3xx133OH23PtQ3rfM641jXn2PeXWPeb1xzKvvMa/uMa++wcz6FvPqHvPqG8yrbwVSXkNm2EU3bvHixbjttttw9913S91KUKhbty4WLlyInj17wmw2S90OBRnm1beYV6pMzKtvMa9U2ZhZ32FeqbIxr74TaHkNmdMYL168CJvNhri4OJflcXFxOHfunERdBY7ExEQ8/PDD6NatGzIyMpzLz507B41G4zw0tFjJ/Xru3Dm3+734vlDVpk0bxMXF4ddff4XVaoXVakXXrl3xwgsvwGq1IisrK2T3LfN6Y5hX32NePWNebwzz6nvMq2fM641jZn2LefWMeb1xzKtvBWJeJb/AWVVVSkqKeOedd5y3ZTKZOHPmDC/wd51KTEwU6enp4uabby51X/FF6Hr37u1c1qRJE7cXoSv5riFDhw4VV65cEWq1WvLXJ1VFRESIW2+91aX27dsnPv74Y3HrrbeG/L5lXitWzGvlFPNadjGvFSvmtXKKeS27mNeKFzPr+2Jeyy7mteLFvPq+AjCv0u+0qqp+/foJo9EoBg0aJJo1ayaWLFkisrOzXd4JgOVaixcvFpcvXxb33HOPiIuLc5ZWq3Wu8+6774qTJ0+Krl27ijvuuEPs2bNH7Nmzx3l/8duLbt68WbRo0ULcd999Iisri2/b6qZKvptFqO9b5rX8xbxWbTGvV4t5LX8xr1VbzOvVYl4rVsxs1RXzerWY14oV81p15ed5lX4HVWWNHDlSnDx5UphMJpGSkiLuvPNOyXvy5/Jk8ODBznU0Go1YtGiRuHTpksjPzxdffvmliIuLc3mc+vXri02bNomCggJx/vx58fbbbwuFQiH56/O3uvabRajvW+a1fMW8Vm0xr67FvJavmNeqLebVtZjX8hczW3XFvLoW81r+Yl6rrvw5r7KifxAREREREREREQW8kLlAPRERERERERERBT8Ou4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiCBoddREREREREREQUNDjsIiIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2HWDunTpAiEE+vTpI3UrRHQdzCtR4GBeiQIH80oUOJhXChUcdrkhhPCqunTpInWr5aJWqzFr1ixkZGTAYDAgJSUFPXr08GrbSZMmud0HRqOxkruuGnXq1MHnn3+Oy5cvIycnB19//TUaNmzo9fYdOnTArl27UFBQgLNnz2LhwoXQ6XSl1ivP56AyHjMYMa+lMa9lkzKvJY0fPx5CCKSmpnrde6BjXktjXstWmT8Lo6KikJWV5faPPp1Oh8mTJ+P777/HpUuXIITA4MGDve47GDCvpTGvZfMmr7fccgvWrl2L48ePo6CgABcuXMDOnTvx8MMPu33M//znP0hOTsbly5dx8eJF7NixA7169Sq1Xq1atbB06VL8888/MBgMOHbsGObOnYuYmJjy7YQAxbyWxrx6Nm7cOCQnJ+P8+fMwGo04cuQI5s+fj9jYWLfr33TTTVi1ahWysrJgMBhw5MgRTJs2zWWdsr7utm7d6rJuo0aN8MUXXyA7OxsFBQXYtWsXunbtWqH9UBalzx8xCDz55JMutwcNGoT77ruv1PJDhw6hefPmVdnaDfnoo4/Qt29fLFiwAEePHsWQIUPw3XffoVu3btizZ49Xj/Hcc88hPz/fedtut1dWu1VGp9Nh+/btiIqKwowZM2C1WjF69Gjs3LkTrVq1QnZ2dpnbt2zZEtu2bcOhQ4fwv//9D3Xr1sUrr7yCxo0bl/ph7O3noDIeM1gxr54xr6VJnddi8fHxGD9+vMvnJxQwr54xr6VV9s/CKVOmIDw83O19sbGxmDRpEk6dOoXff/8d3bp1q9hOCGDMq2fMa2ne5jUhIQF6vR4rV65EZmYmwsPD0adPH2zYsAHDhg3D+++/71x31KhRSExMxMaNGzF27FhotVoMGTIEmzZtQu/evbF+/Xpn78nJydDpdHj33Xdx5swZtGzZEqNGjUK3bt3Qpk0bCCEqZ8f5CebVM+a1tDZt2uDgwYNYs2YN8vLy0Lx5cwwdOhQPPfQQWrVqBYPB4Fy3ZcuW2LFjBzIyMjB37lxcunQJ9evXR7169Vwe89qvNQBo27YtXnrpJZdhV926dZGcnAy73Y63334bBQUFePrpp7F161Z0794du3btusG940qwyq7ExEQhCr9DlqouXboIIYTo06dPhR47LCysSl5Du3bthBBCvPzyy85lGo1GHD16VOzZs+e620+aNEkIIUT16tUl/3z4ul599VUhhBBt27Z1LmvatKmwWq1i+vTp191+06ZNIiMjQ+j1eueyZ555RgghRM+ePSv0OaiMxwyVYl6Z17JKyryWrNWrV4ukpCSxfft2kZqaKvl+laqYV+a1rKrMn4W33nqrsFgsYuLEiW6/ztRqtYiLixMARJs2bYQQQgwePFjyfSplMa/Ma1lVkZ+FxSWXy8Vvv/0mDh065LI8LS1N/Pzzzy7L9Hq9yM3NFV9//bVz2YABA4QQQvTq1ctl3cmTJwshhGjVqpXk+7eqi3llXstbvXv3FkII0b9/f+cymUwm/vjjD5GcnCy0Wm25H/P9998XdrtdxMfHO5ctWrRIWCwW0aRJE5evqVOnTon9+/f7dD/xNEYfkcvlGD9+PM6cOQOj0YikpCQ0atTIZZ3t27cjNTUVd9xxB3bu3ImCggLMmDGjSvrr27cvbDYbli1b5lxmNpvx4YcfomPHjqhbt65XjyOTyaDX68tcp169emjatKlXj6fRaDBp0iSkpaXBaDQiMzMTX375JW666SavtveFvn37Yt++fdi/f79zWVpaGrZt24Z+/fqVua1er0fPnj3x6aefIi8vz7n8448/Rl5ensv23n4OKuMxyRXzehXzWnV5Lda5c2f07dsXL730UrlffyhiXq9iXn33s3DhwoVYv369x/9BtlgsyMrK8vq1UiHm9SrmteyfhSU5HA6cOXMG1apVc1keGRmJ8+fPuyzLy8tDfn6+y6lokZGRAFAqs2fPngWAoDltzdeY16tCKa+enDx5EgBccnjffffh9ttvx5tvvgmTyYSwsDDI5d6NkNRqNfr06YOdO3ciIyPDubxz58747bffcOTIEecyo9GIb7/9Fm3atMHNN99cof7d4WmMPjJ27Fg4HA7MmTMHUVFReO2117Bq1Sq0b9/eZb3q1avj+++/x5o1a/Dpp5+W+YuUWq2+bjCLXbp0qcz7W7dujSNHjrj8AAKAffv2AQBatWqF9PT06z7PP//8A71ej/z8fHz99dd4+eWXS/0Q+vjjj9G1a1fIZLIyH0sul2Pjxo3o0aMHVq9ejYULFzp/WN522234559/PG6r0+mg1Wqv26/VakVubq7H+2UyGVq0aIHly5eXum/fvn24//77ERER4fFUo9tvvx0qlcrlG03x8x48eBCtW7d2LvP2c1AZj0mumNermNeqyytQuB8TExPxwQcf4M8///T4Wukq5vUq5tU3Pwv79u2Ljh07onnz5mjQoMF1Xyt5j3m9inn1/LMQAMLDwxEWFoaoqCg88sgjePDBB/H555+7rLNjxw707dsXo0aNwoYNG6DVavHf//4XUVFRWLhwoXO9n376CXa7HQsXLsTLL7+M9PR0tGjRAhMmTMD69euRlpZW5v4JVczrVaGU15KqV68OpVKJxo0bY9asWbDZbNixY4fz/uLro5nNZvzyyy9o27YtzGYz1q9fjxEjRuDy5cseH7tXr16Ijo7GqlWrXJZrNBq32xWfOtmmTRscO3bsur17g8MuH9FqtWjVqhWsVisA4PLly3jnnXdw66234q+//nKuV7t2bQwfPtxlQu3JgAED8NFHH3n1/NcLZu3atZ3/u1FS8bI6deqUuf3ly5eRmJiI5ORkmM1mdO7cGSNHjsSdd96Jtm3blvom5I1BgwahR48eGD16NBYsWOBcPnv27Otuu2jRIgwZMuS66+3YsaPM62zExMRAq9Ved9+UnDyXVLt2bZd1r92+c+fOLut68zmojMckV8wr8+pu+8rOK1B43YiEhISQehOJG8W8Mq/utq/oz0KtVos5c+Zg/vz5OHXqFIddPsa8Mq/utr/2ZyEAzJ07F8899xyAwmsoffXVVxg1apTLOi+88AJiY2ORmJiIxMREAMCFCxfQvXt3pKSkONc7dOgQhg0bhjlz5rgs/+ijj/Dss896fN2hjnkNzbwWi4uLw7lz55y3z5w5gyeeeMJlONy4cWMAwNq1a7F582bMnDkTLVu2xLhx41CvXj3cfffdHh9/4MCBMJlMWLduncvytLQ0dO7cudRArvix4uPjy+y7PDjs8pEVK1Y4v1EAcB4Wf9NNN7l8szCZTFixYoVXj7llyxaf/UEUFhYGs9lcarnJZHLeX5Z33nnH5fZXX32Fffv24bPPPsOIESNcAu7tRVz79OmDCxcuOH94lcdbb72FTz/99LrrlTVtBq6+7orum+ttX3Jbbz8HlfGY5Ip5ZV7dbV/ZeY2JicGUKVMwdepUXLx40WOf5Ip5ZV7dbV/Rn4Vjx46FSqWqstNwQg3zyry6297dtgsWLMC6detQp04d9OvXDwqFAmq12mUdg8GAtLQ0pKenY+PGjdDr9Rg9ejS++uordO7cGcePH3eum5GRgX379uG7777DqVOn0LlzZ7zwwgu4ePEiXn311TJff6hiXkMzr8Wys7PRo0cPaLVatG7dGr1790ZERITLOsW3f/nlFzz11FMACvejwWDArFmz0L17d2zbtq3UY+v1ejz00EP47rvvkJOT43Lfe++9h0ceeQSff/45JkyYgIKCAowYMQJt27b1undvcdjlI6dPn3a5XfxFGh0d7bI8IyPD5ZtKWc6dO+cybb0RRqMRGo2m1PLiQykrci776tWrMXfuXPTo0cOrafa1GjVqhLS0tAq9I8ahQ4dw6NChcm93reLXXdF9c73tS27r7eegMh6TXDGvzKu77Ss7r9OmTUN2dnaFfkEKZcwr8+pu+4rkNSEhAa+++ipGjhyJgoICb18KlQPzyry6297dtmlpac4jSD755BNs2bIFGzZswF133eVc54svvoDNZsMjjzziXPbNN9/g6NGjmD59Oh5//HEAQMeOHbFx40a0b98eBw4ccK6Xm5uLSZMmYfny5T7ZT8GGeQ3NvBazWq3OQdWmTZuwbds27N27F+fPn8emTZtcHmf16tUu23722WeYNWsWOnbs6HbY1adPH4SFhZU6hREANm/ejFGjRmHWrFn47bffAABHjx7FhAkT8Pbbb/v0nco57PIRT1/w1x6eWZ5QarVaREVFebXu9S6ievbsWbeHBBYfdpyZmel1XyWdOXMGMTExFdr2RkRGRno19bVYLGVOx7Ozs2EymZz7oSRv9k3xoaKeti+5rbefg8p4THLFvFYt5hW4+eabMWzYMLz00kulTqlSqVRISEhAbm7udf83LxQxr1UrmPM6ZcoUZGRkYMeOHUhISAAA1KpVCwBQo0YNJCQk4PTp0yh8AzOqCOa1agViXj1Zt24dli1bhiZNmuDIkSNo2LAhHnzwQQwdOtRlvcuXL2P37t3o1KmTc9nw4cORlZXlHHQV+/bbb/Hmm2+iY8eOHHa5wbxWLX/JqyfJycnIzMzEwIEDncOu4se59nNVfM2zawejxQYOHIgrV65g48aNbu9fvHgxVqxYgRYtWsBiseDgwYN45plnAOC6p1+WB9+N0Y/179/fOR2/Xl3PwYMH0aRJk1IXDCz+35ODBw9WqMcGDRrgwoULFdr2+PHjaNq0KZTK8s9cFy5c6NV++eqrr8p8HCEEUlNTnYdNlnTXXXfh+PHjZU6X//zzT1it1lLbq1QqtGrVymW/evs5qIzHpMrHvHrGvBZef0ChUCAxMREnT550Vvv27dG0aVOcPHkSb7zxRpmvn3yHefUsmPNav359NG7cGCdOnHBmcM2aNQAKT6s4efKk813dyH8wr54FYl49KR4CFA9K4uLiAAAKhaLUuiqVymV/xcXFeVwPQIX2LVUM8+qZv+S1LNcOK4sHyNcOHYv/49bdfqxVqxa6deuGL7/8EhaLxeNzGQwGpKSk4Ndff4XD4UCPHj1gMBiwZ8+eCvXuDpPvx3x5zvO6devw6quvYtiwYZg7dy6AwnfLePrpp5GSkuLyThb16tVDeHi4y8XpYmNjS11j5vnnn0fNmjWxefPmCvX05Zdf4uGHH8aoUaNcLvDnDV+d8wwU7pvZs2ejTZs2zkA3adIE9957L+bMmeOybtOmTWEwGHDmzBkAQG5uLpKSkvDkk09i6tSpzm8sTz31FPR6Pb744guX5/Hmc1AZj0mVj3n1jHkt/EPg3//+d6nXM23aNOj1erz44osu1x6hysW8ehbMeZ04cSJiY2Ndnve2227DtGnTMHv2bCQnJ/P0Rj/EvHoWiHmtUaNGqT+QlUolBg0aBIPBgL///hsAcOzYMdjtdvTv3x9Lly51rhsfH4/OnTtj9+7dzmVHjhzB/fffjy5dumDnzp3O5QMGDAAA56lSVPmYV8/8Ja/h4eEQQpQ6Yq93796IiYlxeVfVb775BgsXLsTTTz+Njz76yHnkc/EbP/zwww+lenv88cehUCjcnsLoSYcOHdC7d2+89957Zb4TZUUIVtmVmJgoROFntlR16dJFCCFEnz59XJYnJCQIIYQYPHiwc9n27dtFamqqZK/j888/FxaLRcyePVsMHTpU7N69W1gsFtG5c2eX9bZv317q9RYUFIjly5eL0aNHi+eff16sWrVK2O128euvv4qwsLDrbu+u5HK5+PHHH4UQQnz22Wfi+eefF6+88orYvHmzeOSRR6psv0RERIijR4+Kc+fOiVdeeUW8+OKL4tSpUyI9PV3Exsa6rCuEENu3b3dZ1rp1a2E0GsWBAwfE8OHDxdSpU4XBYBCbN2+u8OegMh4zVIp5ZV6Lyx/zem1J/XUmdTGvzGtxVVVevf06AyBGjhwpJkyYIBYvXiyEEGLdunViwoQJYsKECSIyMlKyrzepinllXovrRvL61VdfiaSkJPHGG2+IZ555RkyYMEH8/fffQgghRo8e7bLusmXLhBBCbNu2TYwcOVKMHTtWnD59WlitVpfPV5MmTUReXp7Izc0V06dPF8OGDROrVq0SQgixZcsWSXMjVTGvzGtxXZvXli1bigsXLohFixaJUaNGiREjRojly5cLi8Ui/vnnHxETE+Oy/cSJE51Zev7558WSJUuE3W4Xq1atctvbL7/8ItLT04VMJnN7f/369UVKSooYP368+L//+z8xd+5cUVBQIA4cOCAiIiJ8va+k+cINpAqWbxYajUa89dZbIjMzUxiNRvHzzz+L++67r9R67sK+bNky8eeff4qcnBxhNpvFkSNHxMyZM91+Qf7yyy8iMzPTq560Wq2YOnWqOH78uDCbzSIzM1OsXbtWNGzYsEr3TXx8vFi7dq24cuWKyM3NFd9++61o1KhRqfXc/XAHIDp16iR2794tDAaDyMrKEomJiW73jbefg8p6zFAo5pV5LS5/zKu7zx+HXcwr81q1efXm6wyAOHHihPAkISFBsq83qYp5ZV6L60by2r9/f7F161Zx9uxZYbFYxKVLl8TWrVvFv/71r1KPp1AoxMiRI8Wvv/4qcnNzRW5urti2bZvo2rVrqXWbNGki1q5dK06dOiXMZrM4ceKEeOutt0oNNUKlmFfmtbiuzWv16tXFkiVLxN9//y3y8vKEyWQSaWlpYt68eaJ69epun2vkyJHi8OHDwmw2i1OnTokpU6YIpVJZar0mTZoIIYSYM2eOx76rVasm1q9fLzIzM4XJZBLHjx/3+HnxQUnzhcsKzoqIiBAWi0WMGDFC8l5YLFbZxbyyWIFTzCuLFTjFvLJYgVPMa/AWL1BPPnXPPfcgIyMD77//vtStENF1MK9EgYN5JQoczCtR4GBeg5cMhVMvIiIiIiIiIiKigMcju4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQUErdgBTq1KmDvLw8qdsg8gt6vR6ZmZlSt+ER80p0FfNKFDj8Pa8AM0tUkr9nlnklusqbvIbcsKtOnTrIyMiQug0ivxIfH++XP9yZV6LSmFeiwOGveQWYWSJ3/DWzzCtRadfLa8gNu4qn4fHx8ZyMU8jT6/XIyMjw2ywwr0RXMa9EgcPf8wows0Ql+XtmmVeiq7zNa8gNu4rl5eXxGwVRgGBeiQIH80oUWJhZosDBvBJ5jxeoJyIiIiIiIiKioMFhFxERERERERERBQ0Ou4iIiIiIiIiIKGhw2EVEREREREREREGDwy4iIiIiIiIiIgoaHHYREREREREREVHQ4LCLiIiIiIiIiIiCBoddREREREREREQUNDjsIiIiIiIiIiKioCHpsKtz58749ttvkZGRASEEHn300etu06VLFxw4cAAmkwlHjx7F4MGDq6BTImJeiQIH80oUOJhXosDBvBIFDkmHXTqdDr///jtGjhzp1foNGjTApk2bsH37drRq1QoLFizABx98gPvuu6+SOyUi5pUocDCvRIGDeSUKHMwrUWAR/lBCCPHoo4+Wuc6sWbNEamqqy7LVq1eL77//3uvn0ev1QgghIiMjJX/NLJbUVZwHvV5fru2qOq/l7Y/FCsYKlLxGRUVJvq9YLKnL3/N6Iz2yWMFYFckD88piSVPe5kGJANKhQwckJSW5LNuyZQsWLFjgcRu1Wg2NRuO8rdfrAQCL330egwe9DYfDUSm9EoU6X+Z1/dcT8Owz83HyZFal9EoU6nyZ160/TMHTQ+bi779PV0qvVUUmk+HJt6bgtu5dYLdaYTNbYLNYYbMWfbRYCpdZi/5dtMxutcJqthQus1phL7rParbAZrXAbimxvtUKm9l89fFKPlbR+rYS69utVre9yuVyREaGITIyHJGR4YiK0jlvX/tvfWQ4IiPDipaHIyoq3LmdWh1QvxYWkbl8KGMN9/eUsd11n1lWeuMfD5zDfe2GVvxBvVCRvAKeMxssPtn0Nh5/oBncfFqI3Pr9RB7aNHqiUp+DeaW9f6/Enc1ipG4j4J26aEGjmn3KtU1A/VZTq1YtZGW5/rGblZWFqKgoaLVamEymUtuMGzcOkydPLrV84MCukMnsGDxoHux2DryIfM2Xeb333pZI/XMRJoz/GIsWbeKQmsjHfJnXdu2a4NffFmD6tLWYNWsdrFZbZbVdqXoOfxqtHugBAFCqVNCEh1fCswio5YWlURT9WyGgKfqoljtKLVfK7FDLHM5tNEpAo+Rf9/5Crqj8K4RUJK+A58wGi3/3aIYq2P0URORVMBllXkPbmwtfQvvmHHT5QkXyGlDDroqYOXMm5s2b57yt1+uRkZEBq9WGJ57oArVaiYFPzAnYX8aJgomnvO7a9Rc6d26KBQuHof/j9+DZZ97BoUNnJOyUiDzl9bvv9qNXr1Z4c8pA9OnbEc8+k4j9+49K2Gn5Ne3UHj2ffwYA8MWU2Tia/AuUahWUajUUahVUajUio3SIqhaByGo6REXpEFV0dJRer4U+IgwROg30ERrodBrowlTQhakRrlVCp1UiTKNAmEYOjUp+g39suW5rcwBmhwwWuwwWhxxmuwyWottXlxffljtvF69nF/43NLNbbbDbbbDb7HDYrLDb7LDbbBB2O2xWGxzO+4rWs9rhsNvgsNqLblvhsDmKHsNWuJ7NBofdXvhYxY9hLVpW4vmEzQZb8TZ2Oxw2O+xWa+G/rcXLih+3sK+cyzlS7zKPPGU2GNzVrQ10asDqAO5o9yrMZovULVEAMOQbpW7Bo2DOa6ho1KwBXh3RHQDw0bd/Y8b4pRJ3FNgsRnO5twmoYde5c+cQFxfnsiwuLg45OTkep+IWiwUWS+kfeE8OnIuPP3kBfft2glqtRL//zILFwoEXka/4Mq//engK+vfvgLfn/B86dGiGX39biOnTPsfs2V9yUE3kA77M64DH38KDD7bEO4nD0aJFQySnvI35877BpEmfwViBX1SqWv3GDTBm8RuoV90MW8ZRTBjcAlEvdCh1WqBCofDZc1qtNuTkGJCTU4DcXANyc43Of+flGZGXb0J+gQUFBjPyDVYYTFYUGG0wmmwwWhwwmu0w2QUEFM6hXOFHFZRqzdVlKlXhsE5TtEylgqJoXZW68HQZe9Hwxm61Ov/tsNlhs1qdg53C+69+dNhshadsOodJdjePYSscTlltbp/DXjxIKn6MovWotIrkFfCc2WDwUO+uAIBT583469fD0jZDVALzGrrWfvsmtErgVLYNw//zOqz8fFa5gBp2JScno1evXi7LevbsieTk5HI/1ubNB/DvR6dh/dcT8Mgjd2H91xPRp/cMmEz8IqTgptNpYbc7Kv1r3Zd5FULg/fe34Lvv9uO9JSPx8MPtMGXqk+jTtxOefeYdHDhwzFdtE4UkX+YVANau3Y1t2/7A/AXP4sknu+GVV3vj34+1x9BnE7Fz55++aPmGKRRyNG5cB7ff3gAtWjTA7S0a4PbbG6BhwzgAdgAFQHwdAHU8PobdbncZTOXkGIqGVQbklvh38fIcl2UFyM01IjfXwN89qFx8nddgcHen5gCAX1N51Df5F+Y1NL38xhC0bhwDmwMYOnQRB10SkXTYpdPpcPPNNztvN2zYEC1btkR2djbOnDmDGTNmID4+HoMHDwYALFmyBKNGjcLs2bOxfPly3HvvvejXrx8eeuihCj3/li2/4uGH3sS3G97Agw+2wTffTsS/H50eEP/zTKFJLpdDrw9DtWo6Z0VFefj3NbeL71cqFXhu+GIsW7a5XM8tdV4BICPjEh751xQ8/vg9WPjOMLRs2RApP8/BvLlfY/Lk1cwuURF/yOulS7kY9NQ8rFn9E95bMgI331wH23fMxLKlm/HaayuQm2u44dfprZo1qxUOtG5PwO0tGuL22xNw6631odWq3a6fawZ+3p2K3/an4ciRTFy5UuBmcFUAg4Hfc+jG+UNeA91tjWsAALYn/SZxJxTsmFe6nrr1auDNCb0BAJ//eBJJX22TuKPQJtlbRnbp0kW4s2LFCgFArFixQmzfvr3UNr/++qswmUzi2LFjYvDgwTf8NpX33HObyM1bKxxig/hx+wyh02klfztNVnCWSqUUsbGR4uaba4s2bW4W3bu3FH36dBT/9389xf/+928xZcpA8c47w8RHK0eLr7+ZKHbsnCkO/v6OOHHyQ3H5yhrhEBt8Um/OelYA5XsbY3/Ja3HFxkaKTz592fma0o4sFffcc5vkn2MWqyKlUKlEREy0iE2oJ+rd2lw06dBOtLjvXnFXn0dEvVubCyCw86rXh4nFi5935vX0mRXioYfa+Xw/arVqcccdjcTgwd3F3LnPiK0/TBVnz33s8Xthbt5asTf5bbF06Ugxe8lrYs3xn0Tin7tE007tJf+aYAV2+Xtey9ujP1dCo7rCITYIu2ODqJNQR/J+WIFZ3uaBeWVdr3b/tlQ4xAZxJmeDiIiuJnk/wVje5kFW9I+QodfrkZubi8jISOTl5TmXd+jQDN99PxlRUTrs2fM3Hur1ZpX+rzMFBq1W7fGoqmrVIhAVFV7mUVU6ndYnfZjMNhQUXavFZBUw2QCLUMAqFLDKVbDL1bDJVTDbCy9QbC66OHHhv+VYO30e9qxe5zEP/sKb/h5+uB3efW8E6taNBQAsXfI9xoz5iPmlKqUO00IbEYEwfQTC9HpoIyMQFhEBbdHtML0OWr3+6v16XdHywtsqrcbjY/+wdAU2L1oWFHm9557b8P4H/0XjxoWnBn722U689OIyXLyYW67nkslkSEio6XK0VosWDdC4cW2319JyOBw4ejQTqamnkPrHSaSmnsQff5zEiRNZEEKgdpNGeOHTD6AO02LL4vexdcny8u8AohL8Pa9AYPTojf9OGIKF0/rgbI4d8dX+LXU7FKD8PQ/+3h8VGjrqMSxN/D/YHcCAUauw7r01UrcUlLzNQ0Bds6syJScfRs8er2PL1ino1OkWbP1hKh64/w1cuVIgdWvkIzKZDBERWpehlKeBVZSbAVa1ajqo1Sqf9FJgtMJQPKyyoWgYJYdNpoRNpoJNoYEVymsGVfIKvWOWMTcPxrx8mPLzYczLhzEvD1fOZV1/wwCxceMv+OmnkZg9ewiGP/cghj/3IB56uB2eG74Y3323X+r2/JZarYRGo3IprVZd9G+lh+VX73NdVuK+a5bbbHYYDGYUFJhgNJhRUGB23jYYXP999WPp5Xa7o9L2hUwmg0YXXmoIpb12SFU8vIosur/EcEuh8s2P02uzasorwIVTwXMNmp9++hMtW/wXkycPwMuvPIYnnuiCnj1b4cUXlmHNmp/cbhMVpcPttycUDbYKr611220JiIwMd7v+xYu5+P33E/izaKCVmnoKf/112uNpzlp9BIbMnwV1mBaHdifjh6UrfPZ6iajyde3eGgCQeuSCxJ0QUSirWbMa5r49GACw6UA2B11+gMOuEvbvP4ru907A1h+m4s47myBp23Tc1/N1ZGdzeu4vqlXTITo6otQQyvWoKvf3RUWF++Tds+wOBwxGGwrM9qIjqwCLkMHiUMAqUxYeVaXQON/2veSgqnhYJeDdsMpus8GU5/qHrzEv7+rt/IKrw6y8PBiLbpvy8mHMz4e5wADhqLwhgb/IzTXg+effxZo1P+H9D/6Lm2+ug42bJmHVqh14feKnKCjw/G43UlAqFSUGSdcOjMq3XO0cPHkaXrlfHmgsFqvbIVjhwMwCs8UOs9UBq13AYgdsQgabkMMuU8AuU0IoVBBKDaDWACoNZJowKLQ6yMPCoQiLgEMmB7zMpScOu91tVovzaMotzm7RQOuaQbQpvyAk8moyWTB27Ep88cUefPDhC2jZsiE+W/0qBjzRBTNnrEWDBnEuR2vVr1/D7eOYzVb8/fdp/PHHSfyZeqposHUS585dLlc/A6ZNRGz9usjOPIvPxk6GECF1wDtRwGt9WzwAYM/uvyTuhIhC2aqvJiFCq0CWQY7h/SZK3Q6Bw65SDh78B/d2G48fkqbijjsa4cft09Gzx+u4cCFH6taCUmRkOGrUiELNmlGlPsa6Wa7ywdETVpsd+UYbjGY7jFYBsw0wO+SFpwDKVLDJ1bAr1M6jra49DdDqkMHbP4qtJjOMebkuQynnkCovD8bca47iyC38o7h4eGUx+teQxt/t3PknWrZ4AW+++QRG/+9RDBzYFQMHdpW6Lb9nsVhhMllhNruWu2XFyy0ell+7TKGQQ6fTIjxcA51OU/Sx8HZ40ceIiDBE6MMQERHmXBamVSEsTAWFXA4AUKtVUKtViI6O8PGrtwK4DCEAqwOw2AGLzQGzxQGzxQajyQajyeI8Ci0/34j8PCPycguQn1uAnMt5yLmShysXc5B7Jc/DEWuFtx0hMMgqjwMHjqFd29EYM6YPJr7+OP71rzvxr3/d6XbdU6fOFw6zSpyCePRoJmw2+w310O3pgbjt3i6wWSz4+H8TYMgp3+mURCStiMhw1I8tPA1845c7pG2GiELWwEE90L3TzbALYNKcLcg6GTxH5QcyDrvc+PPPU+jWdTyStk1DixYNsX3HDPToPrHc/1scinQ6rZvBVTXUqBGJGkUfa9ashho1o1CzRhQ0mvKfFmg022Aw2WAwO2CyFQ+rFLBCAZtcBbvzFEB5ietUyWBxyGGyy2AXgLfDKlNBgfPIqpJHWF3vtik/H6a8Atj4NrNVzmg047XXVmDt2t1Y/O7zaNeusdQtlWKz2UsMiCwwm21uBkdulpssJW7brlnXWuq+0stLD6QsFtsNHcmiUCqh1UdAq9NBq9cVfozQQRsRAW1EJLRhEQjTFp3yV3Tan9Z5mmDhbZWm6HpVNgA5RQUAEFDIAKVcQCUTUMkFlHIUfby6TCUvXEdmsxSW3QK5wwYF7FDCDqVMQKUA1ApArZJDo1JAq1EirOioNwCQyYruVwBQy4FwOXz9I9JUNDQr63RNd6d6/vxzGlJS0nzai7+w2eyYPn0tvvoqGYmLhqNVq5tw6NCZoqFW4dFaf/55Cjk5vr+kQKO2rdHrxecBAOtnzceZvw75/DmIqHI91Lc75DIgxwwc3Pu71O0QUQiKjY3EondHAAC2p5nw4dR3Je6IinHY5cHhw+no2mUctv04HbfcUh87ds5E93snICPjktStVYhCpYJSrYJKo4FSpYJCrYZSrSoqdYkquq1SQalRQxcRhtiYCFSvrkf16HDEVAtHdFQ4oqO0iNJrUS1CDb1OhahwFfThCqiV8nL3ZrEDRrscBpscRpsMBrscRpscBpusxPKrt729XpXDbi86gqp4EFXilKFc97edR1nl5sNcUACH/caOGiDp7N9/FHfd+T+p2/BbcoUCGp0O0bE6aFwGVDoPg6twaCMioIkouVx3dVB1gxwOhzOLphJHNxqvGTaXzHLJ0wVNBQVwVOAoH4VCjrCw0kedeToareTHsDLvL1weHq6BvOjoNK1WDa1WjZgYfbl6nDljbdAOu4odOnQGPbpX3SH/kTVi8dScaZArFPjlm++Q8sXXVfbcROQ7PXvdBQA4fCqXpyATkSQ+/HQMonQqXDQpMPKpGbDbbFK3REU47CrDsWNnnQOvJk3inQOv06f95wKYMrkcvV58Dk3a31licKUqNbwqppAJhCkdCFcUfVQ6EKZwIFxZvNyBMKVwLldX4BJXNgdgsBUNqeyyq8Mqu6xoaHV1qFVgAcxmG2wWC2xWa+FHS/HHEv+2WmEvum3KL7h6GqC76+Pk5sGYnw+LwchffCjoyORyaHThpQdROp3zCCtNxNVhlMsAq2iZRqeDJjzMp32ZCgpgzjcUXisuv6DwqMj8q0dGGvOLhle5Ja5ZVeJUXnOBQZK82u2OwlMT842V9hxardqL4Zn75eE6DQ4ePFFpvYUiuVKBQXOmQV89BplpR/HltLekbomIKqhdm5sAAD/vOyZxJ0QUih7r0wn/ur8FHAKYs/IAju7/TeqWqAQOu67jxIks58CrUaPa2PnTLPT7zyxcuuQfF63v2L83ug55Amq5KBpauQ6rwpUmhCkNziGWRlH+PyatNgdyC6zIKbDgSp4ZV3LNuJxjwOUcIy5dLkB2dgEuXsrDhUu5uHA+F3m5Bpfhld1ihdVsLrp9dWhls1g4+aaQI1cqUKN+vatHSBWfAuh2QFXiaKri0ul82o/FaCo87bbkgCq/wLnMXGCAKS+/xH35MOUbXLYJlTdCqCiTyQKTyYJLgXlgcNB5ePRINLyjJYx5+fho9HhYTe7fpZGI/JtCIUeTuoXXcdyyKVnibogo1ERHR+D9D18CAOw9AyS+xv888zccdnnh9OkL6HLPWGz7cTqaNq2Ln/fNk7qla5TvWmJWqw0XLuTg/Pkc58eL19wu+TE311BJfROFlpoNE/Dsu3NRvW78DT+W1Wx2DqOcR1MVD6KKrjXnOrwqOcAqgDGvAGZDxU79IwpULe67F10GDQAArJ4wBZfOpEvcERFVVKd720CjlMFsB378dqfU7RBRiHnv/RcRE6XFJZMCr/73HRhz/eNgGLqKwy4vZWZmo2uXcfhs9ato2/ZmqdsBIIM6TAuZTA673Ybcy7muQyoPg6vz56/gyhXfX+iXiMrWsHUL/F/i2wiPioTZYEB+9uWrR1PlFQ+gCq8Vd+2RU87BVd7Vo6/sVqvUL4kooNRsmID+U8YDAH788GP8tX2XxB0R0Y14qHcXAMA/WWaYDZV3KjoR0bV69WqLfn3awyGAD74/iZ+/3Sx1S+QGh13lkJV1Bd3vnSB1GwCAJ2e/ida97sOl9EzM+88gmPI5wCLyV7fd2wVPzn4TKq0GJ39PxfJRr6LgSs71NyQin1CHhWHw/JnQ6nQ4tu8Avk9cJnVLRHSDOnZqDgA48McZiTsholASFaXD8o9fBgDsz1JhzgvTJe6IPOGwKwC1e7QXWve6D3abDZ+OeYODLiI/1rF/bzw2/mXI5XL8tX0XPnntdV4jiKiK9Zs8FrUaNUTO+Qv45LXX+U67REHgtptjAQDbf/hV4k6IKJQsSHwONatH4LJZjslvrsGl9AypWyIPOOwKMLEJ9fDY+MJJ8pbFH+D0H39J3BERefLgC8+hx9DBAIDkL77GV9Pn8I9soip29xN9C/+DyGrDxy9PRP6l8l3nkoj8T+PmCYgKk8PuAL5bt03qdogoRNx3X2sMfqorhABW/5yLHz74VOqWqAwcdgUQhVKJJ9+aAk14OI7tO4Afl38idUtE5IZcqUC/yePR7tFeAIDvFy1D0tIVEndFFHoSWt6GR155EQCwYd4inDz4h8QdEZEvPNK/OwAgI9eBrNOZEndDRKFArw/D8pX/AwAcvKTFnBcnwG6zSdwVlYXDrgDS68XnUe+WZii4koNV496EcDikbomIrqEJD8fgedPRtFN72G02rHtzNvZ9vVHqtohCTkRMNAbNnQ6FSomDm5Ow69PPpW6JiHyk672tAACpaeelbYSIQsbbc55BnVrVcMUix7wlP/I/0AIAh10BomnHu9B1yBMAgM/fmI7c8xck7oiIrqWvHoNn3p2Lerc0g9lgxMevTMDhXclSt0UUcmRyOZ6cPQXV4moi65+TWDtpptQtEZEPtbo1HgCwexcv50FEla9btxYYNux+AMA3fwt89fYiiTsib3DYFQAiYqLx+PTXAQB71nzJt0sn8kOxCfUwbMl8VK8bj7xL2fhw5Cs489chqdsiCkkPjByKxu3bwmwwYOXocTAbDFK3REQ+ElM9EvExagDAxnXbJe6GiIKdTqfF8o9GAwB+v6TFO+PfgjE3T+KuyBscdvk5mUyGx6e/jsjY6jh79Di+nZModUtEdI36LW7Fs4vmQBddDRdPp2PZc6Nx6Uy61G0RhaRbu96NHsOGAADWTpqJrH9OStoPEfnWQ327AQAuGWX4+5dUibshomA3Y8YgJNSPRa5FjuXf/IXfvv9B6pbISxx2+bnOT/ZH87s7wGoy49PX3oDNbJa6JSIq4ZYud+Opt6dCHabF6T//xocjX0F+Nt/tjUgK1evGY8D0NwAAP336OQ5uTpK4IyLytZ4P3gkAOHQqh9evJaJKdffdt+C/L/wLALD5pAafTXpb4o6oPDjs8mPxzZrgodEjAADfvL0Q5479I3FHRFTSXX0eQd/XX4NcocChXXvx8csTYTEapW6LKCQpNRoMnj8DYZF6nDyYio1zeT0NomDU7o6GAICffz4qcSdEFMzCwjTO0xdTszVY9tZKXErPkLgrKg8Ou/yUOiwMT741BUqVCqnbdiJ57XqpWyKiEu4f8Szue/4ZAMC+9RvxxZRZcNjsEndFFLr6THwF8c2aIO9SNj5+hW8HThSMNBoVGsVHAAC2bNwrcTdEFMymTh2ImxvVQp5Vji/2nMeOlZ9J3RKVE4ddfurfY0ejZsMEXMk6j7WTZkjdDhEVkSsU6Pv6a7irzyMAgK1LlmPL4vcl7oootN3V+1+4898Pw2G3Y9WYScjJ4jsWEwWje3q0hVIuQ4FVhl3f7Za6HSIKUu3bN8VLox8FACRlRODT18fyP7UDEIddfqjl/d1xV+9/weFw4LOxk2HIyZW6JSICoA7T4qk503DLPZ3gsNvx5fQ5SPnia6nbIgppdW9pisfGvwwA+D5xGY7+vF/ijoiosjz4WGcAwPEsM99llYgqhUajwocrXoJcLsfflzX4bPkmnPydb4YRiORSNzBixAicOHECRqMRKSkpaNeuXZnrv/jiizh8+DAMBgNOnz6NefPmQaPRVFG3lS+6Ti38540xAIBtH6zE8f2/SdwRkatQzawuuhqe/3AxbrmnE6wmMz4aPY6DLvJ7wZ7XsMhIDJo7AyqNBn9u/wnbl38idUtEFRbsefWFTh2aAQB+/eO0xJ1QqGNeg9fkyU+gebO6KLDKsOEvM75b+J7ULdENEFJVv379hMlkEkOGDBHNmzcXS5cuFdnZ2aJGjRpu1x8wYIAwGo1iwIABIiEhQfTs2VNkZGSIuXPnev2cer1eCCGEXq+X7HV7KrlCIf77yTIxNzVZ/PeTZUKuVEjeEyu4q7x5qOrM+kteq9eNF2M3rhVzU5PFlJ++Fwktb5P8c8cKvWJeXUsmk4lnFs8Rc1OTxbjvvhBafYTknyMWq7j8Pa8V6VHqkslkIs/0jXCIDWLgi09K3g8ruKo8eWBeg7fatm0srLbC7zPrT+4QrR7oIXlPrNJVjjxI12RKSopITEx03pbJZCI9PV2MGTPG7fqJiYkiKSnJZdmcOXPErl27KmPHVHndP3KomJuaLKbt/UFE16kleT+s4K/y5qGqM+sPea17SzMxeccmMTc1WYz//ktRo0F9yT9vrNAs5tW1egwbIuamJotZv+wQdZo2lvzzw2KVLH/Pa0V6lLpatG4kHGKDMNs3iBr14yXvhxVcVZ48MK/BWWq1UvyRukg4xAbx9+WtYuh78yXvieW+vM2DZKcxqlQqtGnTBklJSc5lQggkJSWhQ4cObrfZu3cv2rRp4zxMtGHDhujVqxe+++47j8+jVquh1+tdyh/d1LY1egwdDABYN2U2Lmeek7gjIldVkVl/y2uzu9tjxIrF0FePQcahI0h8ahgunOSpE+T/gj2vTTrciftHDgUAfDntLWSmHa2y5ybyNf5O7J2H+nYDAJy5InDhdIbE3VCoYl6D18SJ/XHbbQkosMnww0klvpz+ttQtkQ9IMo2rXbu2EEKI9u3buyyfPXu2SElJ8bjdf//7X2E2m4XFYhFCCPHuu++W+TyTJk0S7vjTVDwsMlK8/sPXYm5qsug/ZYLk/bBCp8rzv0RVkVl/ymu7R3uJt37bJeamJothSxcIjS5c8s8XK7SLeS2sarXixJSfvhdzU5NF30nu/xedxZK6/C2vgH/9jK1IbdlbeMTFV3vfl7wXVvCVt5llXoOzWrW6SVisXwuH2CC+PbVD3PvMU5L3xPJcfn9kV0V06dIF48ePx4gRI3DHHXfgsccew0MPPYSJEyd63GbmzJmIjIx0Vnx8fBV27J1+b45DtVpxOH/iFNbPnCd1O0Q+U97M+kteuw8djMenvQ6FUon9G77HhyNfgbmA7/pEwS0Q8qpQqTBo7nTooqvhzN+H8fXM+ZX+nET+KFh/Jy5Lq1tqAwB2/fSXxJ0QlU8o5jWQqFRKLF/xIpRKBY7kqPHTgXTsWPmZ1G2Rj0gyjVOpVMJqtYpHH33UZflHH30kvv76a7fb/PTTT+Ktt95yWTZw4EBRUFAgZDKZT6eAVVXt//NvMTc1Wcz+9ScR37yJ5P2wQqvKkwcpMlvlF7yWy0Wfia+KuanJYm5qsuj14vOSf45YrOJiXiF6T3hFzE1NFlN3bxEx8bUl/5ywWJ7K3/Na3h6lrvj46sIhNgibY4NofmcryfthBV95mwfmNfjq9dcfFw6xQRRYN4p3/94jGrS8XfKeWGWX3x/ZZbVaceDAAXTv3t25TCaToXv37khOTna7TXh4OBwOh8syu93u3DbQxDVqiH+/9hIAYNOCd5Fx6Ii0DRGVIdgzq9JqMGT+DHTs3xsOhwNfzZjLtxqmgBWMeb3j4fvR6fE+cDgcWDV2ErIzzkrdEpFPBGNefe3Bx+4BAJw3yJH2a6rE3VAoY16Dy223JWDCxH4AgO1nI7Bt9Tc4+Tu/xwQTySZy/fr1E0ajUQwaNEg0a9ZMLFmyRGRnZ4uaNWsKAGLlypVixowZzvUnTZokcnJyRP/+/UWDBg1Ejx49xNGjR8WaNWt8PgWs7FKq1eLlLz8Rc1OTxdD35ns91WexfFkVeWv0qsxsVeU1PCpS/PeTZYXv7LZ/h7i9R1fJPzcs1rUVynmt1biRmLlvu5ibmizuH/Gs5J8LFut65e95rUiPUtaajTOFQ2wQP/71meS9sIKzypMH5jU4SqGQi32/zBMOsUEcydkiJm3fIMIiuX8DocqRB2kbHTlypDh58qQwmUwiJSVF3Hnnnc77tm/fLlasWOG8rVAoxBtvvCGOHj0qDAaDOHXqlFi0aJGIioqqjB1TqfXYuP+JuanJYvKOTSKierTkXzCs0KyK5KEqM1sVeY2uU0uM+XZN4alRe7aIhq1bSP55YbHcVajmVaMLF2M3fF74ZhFL5guZXC7554LFul75e14r2qNUdSxztXCIDWL68smS98IKzipvHpjXwK+xY/sWnb64QSw5tEe0eqCH5D2xvKuAGXb58Y6ptLqly93OawI17dResj5YLH/Ig5T9xTdrIib9uEHMTU0WE7euF3E3NZD8NbNYnipU8zp43gxnRnXVvP/DgMWSsvw9r4HSIwAREREmbI5vhUNsEF0eu0/yfljBWf6eB3/vL9CqefN6wmj6SjjEBvHdme3i2ffmSd4Ty/vyNg9KUJWKrFkDj0+dAADYsfIzpO1JkbgjotDUuH07DJk/E9oIHTKPHMP7z/8PuecvSN0WEZXQZdAAtOjZDTarFSv/NwEFV3KkbomIqljXnm0gl8mQY5Fj3zb+3kxEN0Yul+PD5S9Ao1HhnzwVfj8r8NW0t6VuiyqBZBeoD0UyuRxPTH8DuuhqSP87Dd8tXCJ1S0Qh6Y6H7sPQd+dBG6HD0Z/3Y/Hg5zjoIvIzN7VphYdGjwAAfD1rPs78+bfEHRGRFB589G4AwPEsE4y5uRJ3Q0SBbvToR9G+fTOYbMC2jAhsXbKcb3oTpHhkVxXq9vRANG7fFmaDEZ+OeQN2q1XqlohCTrenB+Lh/40CAPz23VasnjiNWSTyM/rY6nhqzjQolErs3/A9kteul7olIpJIxw5NAQAHDp6WuBMiCnSNG9fBlKkDAQA/ZUXg6KGT2Pnxaom7osrCYVcVqX/7LXhg1DAAwPqZc3HhJH9gE1UlmVyOR197EZ0HFr698I6Vn2Hj3EUQQkjcGRGVJFcqMGjONETGVsfZo8fx5dS3pG6JiCSiVCrQrGEMAGDb1v0Sd0NEgazw9MUXERamwck8Ff66rMEXb86Cw2aXujWqJBx2VQGNLhxPvjUFCqUSv33/A375epPULRGFFKVajSdmTkLL++4FAHzz9kL89PEaibsiInceenEEbmrTCsa8fHz00lhYjCapWyIiibRp2wQalRwmmwzbN/wkdTtEFMBGjXoId999C8w2gaTMCOz9fD1O/f6n1G1RJeKwqwr0ff01VK8bj+yMs1jH/6EmqlJhkXo8/c5sNGrTGjaLBasnTMXBzUlSt0VEbrTo2Q1dhzwBAFgzcRounk6XuCMiktKDve8BAJzOEbhw6ozE3RBRoLrpplqYMXMwAGB3VgQyzl7BpoXvSdwVVTYOuypZm389iDseuh92mw2rxkyCKS9f6paIQka1uJoYumQ+at18E4x5+Vjx4hgc/+VXqdsiIjdqNKiP/lMK3614+/JP8eePOyXuiIik1qVrCwDAH4ezJO6EiAKVTCbDBx++gPBwDU7lKfDHZS2+mTWdf5eHAA67KlH1enXRe8LLAICt732Ik7+nStwRUWh59r15qHXzTcjJuoBlz4/GuaPHpW6JiDzo/+Z4aCN0OL7/N3z3Dt+tmIiAVrfUBgDs+om/QxNRxTz33IPo2vV2mK0ObMuMxqHdKTi4ZZvUbVEV4LCrkiiUSjz51pvQ6nQ49suv2PbBx1K3RBRSdNHVULtxIzgcDiQ+NQyXz56TuiUi8kAml6P+7bcCANZOmgGHnReLJQp1jRrVRpROBZsD2PL1LqnbIaIAlJBQE7PfGgIA2HtBjwu5Vnw17W1pm6IqI5e6gWD14H+Ho/5tt6DgSg4+GzcZwuGQuiWikBITXwcAkHvhIgddRH6uWlxNKFRK2CwWXDqTIXU7ROQHHnikEwDgnEGBfw7yItJEVH7L3h+FiIgwnM4BDmZrsXXJh8jOOCt1W1RFOOyqBE06tEO3/3sSQOH/UOdkXZC4I6LQU71u4bArOz1T4k6I6HpiivOacRZCCIm7ISJ/0P2BdgCAwydzYLNYJO6GiALNM8/ch549W8NidWBbVjTOHv0HOz9eLXVbVIU47PIxXXQ1DJj+BgBg7+df4c8f+TbJRFIoPrLrEoddRH6vevzVYRcREQC0bd0AALA35Yi0jRBRwImPr445c/8PAJB8UY8rFgW+eHMWHDZeJiGUcNjlY49Pm4jIGrE4e/Q4vnn7HanbIQpZMXULL2qbncFhF5G/u3pkF/NKREBsbCTq1ggHAGzduEfibogo0CxdNgpRUTqcyrbjt0ta7P38K5z6nadDhxoOu3yo88B+uOWeTrCazfh0zCTYzGapWyIKWdXrxgPgkSJEgaD4tGMeiUlEANC1e2sAwCWTAn/s/kXibogokAwadC969WoLi9WO7RerI+fCJWxa+J7UbZEEOOzykTpNG+Ph/40EAGyYk4hzR49L3BFRaIuJLzyy61I6L3ZN5O9i4nlkFxFd9cCjhRenP55lRv6lyxJ3Q0SBonbtGMxfMBQAkHw+HJctSnw9ewFMefkSd0ZS4LDLB9RhWjz51hQo1Wr8uf0n7FnzpdQtEYU0uUKB6Fq1APCPZ6JAUDycZl6JCAA6tG8KANh/8JTEnRBRIHn3vecRHR2BkxfM+O1yBA7t2ovft2yTui2SCIddPvDoay8h7qYGyMm6gLVvzJC6HaKQFxVXAwqVEjaLBbnnL0rdDhGVQaXVILJGLACexkhEQFiYBo3rRwMAtm3lKYxE5J0BA7rg0Ufbw2q146crcTAbzfhq+hyp2yIJcdh1g1r07Ib2fR+Fw+HAqnGTUXAlR+qWiEJe8SlRlzPPQQghcTdEVJaYOoVHdRlz82DMzZO4GyKS2l3tm0KpkCHfKsfeLXulboeIAkDNmtXwTuIwAMCeDBUumZXY+t4HvHZviOOw6wZE166F/0weCwD48cNPcPyXXyXuiIgAoHo8L3ZNFCiuXq+Lv5ASEXD/I4XX6zqdA5z/56S0zRBRQFi0+DlUrx6JE2cL8Ht+NDKPHMPOT9ZI3RZJjMOuCpIrFBg4azLCIyNx6vc/seXd96VuiYiKxNTjxa6JAkX1esXDab6ZBBEBXbq2AAD8cZhHZxPR9fXt2wl9+3aC1WbH7oJ42BwC66bMhsNml7o1kphS6gYCVY9hQ9DwjpYw5Rfg07GTGCYiP1Kd7+xGFDB4ZBcRFZPL5bi9WeGpzTt3/CFxN0Tk72JjI7Fo8XMAgJ+O23HRqkTy2i9x6vc/Je6M/AGP7KqAhne0RM/hTwMA1k19C9k8VYrIr8TwNEaigBHD4TQRFbn11vrQaRWw2GXYvmmP1O0QkZ9b+M4w1KxZDSfSc/CnrTZyL1zEd+8skbot8hOSD7tGjBiBEydOwGg0IiUlBe3atStz/aioKCxatAiZmZkwmUxIS0vDgw8+WEXdAmGRegycNRlyhQK/fLMJv323tcqem8gfBEJmY+IL/1eYfzxTqAuEvFavy9MYiYDAyGtl69nrLgBAZoECJ3lkBvkx5lV6jz7aHgMGdIHNZseuvDpwCBm+nr0Aprx8qVsjPyHpaYz9+vXDvHnz8Nxzz+Hnn3/GSy+9hC1btqBp06a4cOFCqfVVKhV++OEHnD9/Hn379kVGRgYSEhJw5cqVKuu57xtjEF27Fi6cOoP1M+ZV2fMS+YNAyKxKq0FkjVgAwKV0nhZFoSsQ8grwNEYiIHDyWtm63184MDh8KgcWo0nibojcY16lFx0dgfeWjAAAbPsrH5cUcTi0ay9+37JN4s7I3wipKiUlRSQmJjpvy2QykZ6eLsaMGeN2/eHDh4tjx44JpVJZ4efU6/VCCCH0en25t42sWUPMTU0Wbx/cLere0kyy/cZi+arKm4eqzmxF8hp3UwMxNzVZTNuzVfL9y2L5soIxr+FRkWJuarKYm5oslGq15PuYxfJV+XteK9JjVVRW9hfCITaIicvelLwXVmhVefLAvEpfH60cLRxigzh2eqVY8OdeMXPfdhETX1vyvlhVU97mQbLTGFUqFdq0aYOkpCTnMiEEkpKS0KFDB7fbPPLII0hOTsbixYtx7tw5pKamYty4cZDLPb8MtVoNvV7vUhUV1zABAHDxdDrS/z5c4cchCkRVkVlf5JVHiRAFXl5zzl+AzWIp9/ZEwSAQfyeuDPXq1UCNaC0cAvhh416p2yFyi3mVXq9ebTFo0L2w2x3YcakG7EKGre99wN/9qRTJhl2xsbFQKpXIyspyWZ6VlYVatWq53eamm25C3759oVAo0KtXL0ydOhUvv/wyJk6c6PF5xo0bh9zcXGdlZFT8miA1GtQHAFw4ebrCj0EUqKois77Ia/V6Rdf/4fW6KIQFTl7jAYBv9EIhLRB/J64MXbq1BACcNypx+OdfJe6GyD3mVVpRUTosXTYKAPD9vnPIUUYjM+0odn6yRuLOyB9JfoH68pDL5Th//jyGDRuGX3/9FWvXrsX06dPx3HPPedxm5sz/Z+++w5sq2zCA31mdtKW7tKVllL03CAjIFMUBWJyA4EBcoCgC+qE4UBQQcaAyxD1AgYqsMkSgZY+yV/cedKdt0rzfH2kDpYOmJD1Jc/+u67loT845eXLo0zZP3/c9C+Hq6mqIgICAOj+/odkVG1/ncxDZEmNr1hT1ahjZxTfPREaRpl71N5Ngc5rIOFL/TmwOI8fcAQC4ml6MnNTK6x4RWauGWK9SWbx4CgICPBEdm4Grrp2g0+nwx4KPoNOWSp0aWSDJFqjPyMiAVquFr69vhe2+vr5ISUmp8pjk5GRoNBrodDrDtnPnzqFJkyZQqVTQaDSVjikpKUGJiaZG+DTTT2NMi4k1yfmIrEl91Kwp6vX6NEa+eSbbZX31yqkHZLus8Xdic+jXtzUA4PBx/p5Nlov1Kp0RI7phytQR0Ol02JbgjFI3GSJ+/xNxp85InRpZKMlGdmk0Ghw9ehRDhw41bJPJZBg6dCgiIiKqPGb//v0ICQmBTCYzbGvdujWSkpKq/CZhat7NmgLgNEayTdZSs56BnMZIZG31mpXA6Rlku6ylXs3Jzc0ZzQJcAQC7th2WOBui6rFepeHi4ohvvn0RALDp32io3ZoiNz0D/yz7SuLMyNJJtop+aGioUKvVYuLEiaJt27ZixYoVIisrS/j4+AgAYu3ateKDDz4w7B8YGChycnLEZ599Jlq1aiVGjx4tUlJSxNy5c02+cv/NobSzEx+f3C8WR0WIRp7ukt+BgMEwRRhbD/Vds3Wp1/cjwsXiqAjh0zxY8uvLYJgyGmK9vvH372JxVIRo0bOb5NeXwTBlWHq91iVHc8bdo3sKnQgTmUWbRUDb1pLnw7C9MKYebL1epYivvpoudCJMXI1ZLZYc3yMWR0WIziPukjwvhjRhRD1Im+jzzz8vYmJiRFFRkYiMjBS9e/c2PLZ7926xZs2aCvv37dtXRERECLVaLS5fvizmzJkj5HK5OS5MhfALaSEWR0WI9w7skPw/l8EwVdSlHuqzZo3Nz8nNVSyOihCLoyKE0s5O8uvLYJgyGlq9yuRy8dGxvWJxVIRo7Ocr+fVlMEwZll6vdc3RXLHkixeFToSJE2n/CLlCIXk+DNsLY+vBluu1vmPIkM5CJ8KEToSJJf+sFIujIsTULz6RPC+GdGE1zS4LvjAVotOwwWJxVIR4+edVkr8GBsNUYek/OI3Nr2mHdmJxVIT4385NkufOYJg6Glq9NvbzFYujIsRHx/YKmRG/8DMY1hCWXq+WluOR098InQgT3+9dLXkuDNsMS6oHa8zPXOHs7CCuXF0pdCJM/P7PQrE4KkIsPLRbuPv7SZ4bQ7qobT1Y1d0YpcTF6Yksn0cg78RIZC3K6/VaUgrEDYv2EpFtUamU6Nhav9j3v7tPSZwNEVmShQsnonlzX8TGpeOqWxcAwLYvV+JaUtU3AyC6EZtdtcTF6Yksn0dAEwBcnJ7IGniW1SvvnEpk27p3bwk7lRxqrQz7tlW9wDcR2Z6BAzvghRfHAAB+2pcBlas7ki5cwt4ff5U4M7IWbHbVknezIABAGptdRBbLMzAAAJCVmCxxJkR0Kx5l9ZrJkZhENm3oyJ4AgMQCJWJPnZY4GyKyBI6O9li1+iUAwG8bjsKx80DodDr8seAj6LSlEmdH1oLNrloqn8bIkV1Elqt8ZFdWQqLEmRDRrXhwZBcRAbhrhL7ZdT42B0X5BRJnQ0SW4L33HkdIiD/i4zNwzr4tACDi978Qd+qMxJmRNWGzqxac3RvDyc0VAJARFy9xNkRUHY8A/RpAmRzZRWTxPMvqlSMxiWxbjy762RMHIi5InAkRWYJ+/dri5Rn3AQC+3ngRbk2DkZuegX+WfSVxZmRt2OyqBe9g/Q/hrKRkaIqKJc6GiKoik8vh7u8HgAvUE1mD8gXqM+M5EpPIVrVuHQC3RnbQ6oBdW7leF5Gts7dXYdXqlyGXy/Hbuki43TEKAPDXh0s58pOMxmZXLfiUrdfFKYxElsvNxxtKlQpajQY5aelSp0NENVDa28PNxxsApzES2bI7h3QGAKSolbh85KTE2RCR1N5++1G0bRuIpKRMHC4OgNLODmf37sep7bukTo2sEJtdteDdnM0uIktXPkrkWlIKhE4ncTZEVBOPslGYRfkFKMzJlTgbIpLKiNF9AQDR6VqOyiaycT17tsKs1x4EACxZcwgBXbqhuFCNP9//ROLMyFqx2VULhpFdsWx2EVkqz8Dy9X/4yzKRpfNgvRIRgL59WgEADh2LljgTIpKSnZ0Sq9e8DIVCgd/+2I/Gd44BAGz/ciWuJaVInB1ZKza7asG77E6MadFsdhFZKg8udk1kNcoXp8/kSA4im+Xr2xiBvi4QAti947DU6RCRhN58cwI6dgxGauo17Ix3gLN7YySev4i9P/0mdWpkxdjsugW5QgHPpgEAOI2RyJJ5BDQBAGQmcLFrIkt3vTnNZheRrerfvz0AIKNIgdP7j0qcDRFJpWvXFnhjzkMAgHeXbEO7ESOh0+mwbsFH0GlLJc6OrBmbXbfg7t8ESpUKJeoiZKekSp0OEVXDkyO7iKwGpzES0bC7ewMA4vPkSDx3UeJsiEgKKpV++qJSqcC6dQfgOvA+AMCB3/5EXNRZibMja8dm1y2Ur9eVERcPIYTE2RBRdQxvnjktisjiGaYxxrNeiWzVwEGdAACnzqegVKuVOBsiksIbb4xH164tkJ6eg3WHc+DdLAg5aenY8tkKqVOjBoDNrlsw3IkxNl7iTIioOkp7e7j5eAPgNEYia8CRXUS2zcnJHm1b6n9u/7vrpMTZEJEUOnYMxrw3QwEAb777J3o8/DAAYMOHS1GUXyBlatRAsNl1Cz7li9PHxEqcCRFVx8PfDwBQlF+AwpxcibMhopo4urrC0aURACAridOOiWxRnz5toJDLkFsix+E9XJyeyNYoFHKsXvMy7OxU+OuvCKi6D4NSpcLZf/fj1I7dUqdHDQSbXbfgHdwUAJDOOzESWSyOEiGyHp6B+ptJ5KZnQFNULHE2RCSFIcO6AQCSClWIOXFK4myIqL698soD6NmzFbKy8vDNpoto2bMbigvV+PODT6ROjRoQNrtuwbtsza403omRyGIZ1v/hel1EFs+DN5Mgsnl3De8BADgfl8MR2UQ2xsXF0XD3xblv/YL+U58CAGz/ciWuJaVImRo1MGx21cDe2cmwDlB6LJtdRJbq+ptnNruILB3rlci2KRRydO2knzlx4MAFibMhovr2wgv3wt29Ec6di0deQFc4N3ZD4vmL2PvTb1KnRg0Mm1018A7Wj+rKy8xCUV6+xNkQUXU4jZHIengGciQmkS3r1KkZnByUKC6VYd+Og1KnQ0T1yNnZATNfeQAAsOrXw+h532jodDqsW/ARdNpSaZOjBofNrhpcn8LIxemJLJlhGmM83zwTWTrDyC42u4hs0p2DOgIAkgqVuHKMd2IksiXTpt0NLy9XXL6SDIfeowAAB377E3FRZyXOjBoiNrtq4FPW7OLi9ESWjSO7iKyHR4B+gfpM1iuRTRo2qjcAICazFOlcE5fIZjg42OHVWQ8CADbtT4ZncBBy0tKx5bMVEmdGDRWbXTUoH9nFH8RElsvR1RWOLo0AAFlJXPCayJLJZDJDs4sju4hsU58+rQAAh49GS5wJEdWnp54aAT8/d8TGpUPbrj8AYOOiZSjKL5A4M2qoLKLZNX36dERHR0OtViMyMhK9evWq1XETJkyAEAJ//fWXWfLyaRYMgIvTE93I0urVM1D/xjk3PQOaomKTnpvI2llavbr6eEFpZ4dSjRbZqWkmPTeRtbO0ejWHZs184e3uhFId8O/OI1KnQ1RntlCvpmRnp8Trs8cBAP45kgGVozPios7i5LadEmdGDZnkza7Q0FAsWbIE77zzDrp3746TJ09i27Zt8Pb2rvG44OBgfPLJJ9i7d69Z8pLJZPAK1t8pJo0ju4gAWGa9Xr+zG0d1Ed3Ikuv1WkoKhE5n8vMTWStLrFdzGDCgPQAgtUiJ8wePS5wNUd3YSr2a0uTJwxAY6IWkpCyom+unMm9ZzumLZF6SN7teeeUVfPvtt/juu+9w7tw5TJs2DYWFhZgyZUq1x8jlcvz000+YP38+rl69apa8XH28YO/kiFKNFpkJiWZ5DiJrY4n16sn1uoiqZJn1GgCAUxiJbmaJ9WoOd43oAQBIzJMj/sx5ibMhqhtbqVdTUSoVmP3GeADAtpPXIFPZ4/LhY7gYcVjizKihk7TZpVKp0KNHD4SHhxu2CSEQHh6Ofv36VXvc//73P6SlpWH16tW3fA47Ozu4uLhUiNoon8KYmZDI26ASwXLrtXykSCbfPBMZWG69cnF6opvVR70Cdf+d2JQG3qm/E+Op86nQFnPpAbI+tlSvpvL444PRvLkv0tNzkePfHQCw5bOvJc6KbIGkzS4vLy8olUqkpqZW2J6amgo/P78qj+nfvz+mTp2Kp59+ulbPMWfOHOTm5hoiMbF2o7S4OD1RRZZar4ZpjGx2ERlYfr1y2jFRufqoV6DuvxObirt7I7QM9gQA7Nl9ol6fm8hUbKVeTUWhkGPO3FAAQPjpXAiFCmf/3Y+YE6ckzoxsgeTTGI3RqFEj/PDDD3j66aeRmZlZq2MWLlwIV1dXQwQEBNTqOEOzKza+zvkS2bL6qtfyaYwcKUJUd/Vdr5x2TFR3dalXoO6/E5vKHXe0AwBkFStwat/Ren1uIqlYa72ayoQJA9GqlT+yruUj3bsTAGDLco7qovqhlPLJMzIyoNVq4evrW2G7r68vUlJSKu3fsmVLNG/eHGFhYYZtcrm+X6fRaNCmTZtKc6BLSkpQUlJidG7lza60mFijjyVqiCyxXmUyGdz99X9F45tnousssV4BwCOQ046JblYf9QrU/XdiUxl0VxcAQGKBEjEnoiTLg+h22Eq9moJMJsPcefpRXXvOF6LURYETW8ORdOGSxJmRrZB0ZJdGo8HRo0cxdOhQwzaZTIahQ4ciIiKi0v7nz59Hx44d0bVrV0Ns2rQJu3fvRteuXREfb7pRWD6cxkhUgSXWq6uPF5R2dijVaJGTmn7b5yNqKCyxXpV2dnD19gLA5jTRjSyxXs1hyFD9Wj0XEvKRl5klcTZEdWMr9WoKY8f2Q/v2QcjJLUSyW1voSkux9YtvpU6LbIikI7sAYMmSJVi7di2OHDmCQ4cOYcaMGXB2dsaaNWsAAGvXrkViYiLmzp2L4uJinDlzpsLx2dnZAFBp++1Q2tnB3V+/iC5HdhFdZ2n1Wn5nt2spKdCV8kYSRDeytHp19/eDXC5HcWEhCq5lm+ScRA2FpdWrqdnbq9C5vX5k54ED5yTOhuj2NPR6NZV5b04AAOy7XIwSOzmObPqbA0moXkne7Pr999/h7e2NBQsWwM/PDydOnMCoUaOQlpYGAAgKCoJOp6vXnLyCAiGXy6HOy0d+5rV6fW4iS2Zp9WpY7DqRi10T3cxS65VTGIkqs7R6NbUePUKgUilQoJXh4K4jUqdDdFsaer2awpgxvdG1awvkFxQj1rEltEUabP9qldRpkQ0SthQuLi5CCCFcXFyq3afTsMFicVSEePnnVZLny2CYM2pTD5ac34jnporFURFi/PzZkufKYJg7rL1e+4U+KBZHRYgnP/tI8lwZDHOHpddrfec4+43xQifCxIXsbcKvVUvJXzuDcXNYes1aen43x8FDS4ROhIltp38Ri6MixINzXpE8J0bDidrWg1XdjbG+eAdzcXoia2AY2ZXAkV1Elq582jHrlcj23DWiJwAg5poOqVeiJc6GiMxp5Mju6NWrFdRFGlyRB6FEXYTwb76TOi2yQWx2VcGnORenJ7IGnoHl0xg5LYrI0nkE6NfCzExIlDgTIqpPMpkMfXqFAAAOH42GsPHpXUQN3Ztv6dfqOhxfCnWpHP/99DtvSkGSYLOrCt7Nykd2sdlFZMk8ArkGEJG18AjkGntEtqhdu6ZwbWQPjQ74byfX6yJqyIYM6Yz+/dujuESL86X+UOflY/ean6ROi2wUm11V8GkWDIAju4gsmdLODq7eXgA4sovIGnAkJpFtGjCgPQAguVCFq8dOSZwNEZlT+aiuY0kCBVo59nz3E9S5uRJnRbaKza6bODd2g5ObKwAgIy5e4myIqDru/n6Qy+UoLixEwbVsqdMhoho4uDSCk6v+ZyubXUS2ZfCwbgCAxHwFYk+dkTgbIjKX/v3bY8iQztBoSnG62Af5Wdfw34+/S50W2TA2u27iXTaqKyspGZqiYomzIaLqlC9OzymMRJbPs6xe8zKzUKIukjgbIqpPAwZ0AACcupCGErVa4myIyFzmvRkKADiZKkO+RoGdK79HcWGhxFmRLWOz6yY+zbg4PZE1KF/smqNEiCyfoV7ZnCayKf7+Hghs4gadAP7bc0LqdIjITHr1aoVRo3pAW6rDqQJPZKek4sBvf0qdFtk4Nrtu4s07MRJZBc/AAABAVgIXuyaydOX1msnmNJFN6d9fv15XepECZyOPS5wNEZnLvDf1a3WdTpcjR6PAjq/XQFtSInFWZOvY7LqJYWRXLJtdRJasfKRIZkKixJkQ0a0Y7sTIkV1ENuXOwZ0AAEmFKsSciJI4GyIyhy5dmuO++/pApxM4nuuOjLgEHNrwt9RpEbHZdTOvYH2zKy2azS4iS2Z485zIkV1Elo7Tjols0+C7ugIALiUWIjslVdpkiMgsykd1nctUILtEgW1ffgudtlTirIjY7KpArlDAKygQAKcxElk6T0Ozi2+eiSydYdoxm9NENqNRI0e0ba1vdB84cE7ibIjIHNq3D8L48f0BAEezXZF86QqObwmXOCsiPTa7buDu3wRKlQqaomL+9YnIgjm4NIKTqysANruILJ1MJoO7vx8ATjsmsiV9+7aBQi5DTokcx/47KnU6RGQGc+fp78B4IUuBzGIltiz/GkKnkzgrIj02u25gWK8rLh5CCImzIaLqeAboR3XlZWahRF0kcTZEVBMXL0+o7O1RqtUiOyVN6nSIqJ4MGKhfnF6/XtcpibMhIlNr1cofEyYMAAAcznJB7KkzOLP7P4mzIrqOza4beDfjnRiJrAEXuyayHuVTjrNT0qAr5RoeRLZiyLDuAIDYawJJFy9LnA0RmdqcuaFQKBS4nKNEepF+VBeRJWGz6wblza60mFiJMyGimpSP7MrkFEYii+cRwOY0ka1RKhXo2b0FAODwsWguVk3UwDRr5ovHHx8MADiU4YxLB4/gUuRhaZMiugmbXTcwTGPknRiJLBpHdhFZDw/eTILI5nTt2gKODioUaWWI/PeY1OkQkYm98cZ4KJUKROcqkapWcVQXWSQ2u25wfWQXm11EloxvnomsR/k0Ro7EJLIdAwaUr9elRPRxrtdF1JAEBnph8pNDAehHdZ3Zsw+xJ09LnBVRZWx2lbF3doKbjzcAID2WzS4iS1Y+jTErMVniTIjoVjiNkcj23DmkM4Cyxen5JpioQXn99bGws1MhPl+FpEIVtn7+jdQpEVWJza4y3sFNAejv7laUly9xNkRUHZlMBnd/PwBAZkKixNkQ0a14BDQBwJFdRLZkwIAOAIBTF9P4ezVRA+Ln546nnh4JADiY7ojjW3Yg6cIlibMiqhqbXWW8mwUD4OL0RJbOxcsTKnt7lGq1yE5JkzodIqqBQqWCm68PAE47JrIVLVs2gZeHM7Q6YP+/J6VOh4hMaNasB+HgYIekQiVicmTY+sW3UqdEVC02u8pwcXoi61C+/k92Shp0pby7E5Elc2/iC7lcjuJCNfIzr0mdDhHVg/L1ulLVSlw8zGYXUUPh5eWKZ6fdDQA4mOaEI5u2IiM2XuKsiKrHZleZ8sXp07k4PZFF4/o/RNbDUK8c1UVkMwbe2RFA2XpdJ6IkzoaITOWVVx6As7MDUgqVuJwlsGPFaqlTIqqRRTS7pk+fjujoaKjVakRGRqJXr17V7vvUU09h7969yMrKQlZWFnbs2FHj/rXlHVzW7OLi9EQ1krpeeSdGotqTul49AwMA8GYSRLUhdb2ayqAhXQAAl1OKkBmfIHE2RObRUOq1ttzdG+H5F+4BoF+rK+KPjbiWnCJxVkQ1k7zZFRoaiiVLluCdd95B9+7dcfLkSWzbtg3e3t5V7j948GD88ssvGDJkCPr164f4+Hhs374d/v7+t5WHdzP9AvVpHNlFVC1LqNfyaYxc7JqoZpZQrx6BZYvT82YSRDWyhHo1BS8vV7Rsrs95/76zkuZCZC4NpV6N8dJLY+Di4oR0tQLnUkux89u1UqdEVCtCyoiMjBTLly83fC6TyURCQoKYPXt2rY6Xy+UiJydHPPHEE7Xa38XFRQghhIuLi2Gbm6+3WBwVIRYd+0/IlQpJrweDUZ9RVT3UFJZQr9PXfCkWR0WIbncPl/z6MRj1GdZYr0988p5YHBUhBj4+QfLrx2DUZ1h6vdYlx9rEfff1EToRJtLV/4jBkx6V/P+BwahtGFMPDaVea//cjiIz6xehE2FiU+wecfdL0yT//2LYdtS2HiQd2aVSqdCjRw+Eh4cbtgkhEB4ejn79+tXqHE5OTlCpVMjKyqrycTs7O7i4uFSIm/mU3YkxMyEROi0XvCaqiqXUq0dA2UgRjuwiqpal1Ksnpx0T3VJ91CtQu5q9XeWL0ycWqhB94pTJz08ktYZUr7X1wgv3wt29ETKLFDiVUIw93/0kWS5ExpC02eXl5QWlUonU1NQK21NTU+Hn51erc3z00UdISkqq8A3nRnPmzEFubq4hEhMrT6Xg4vREt2YJ9apQqeDm6wOAb56JamIJ9QpwgXqi2qiPegVqV7O3a/DQrgCAuBwg4ewFk5+fSGoNqV5rw9nZATNfeQAAcCjdEbu/+xnq3DxJciEyluRrdt2O2bNn4+GHH8aDDz6I4uLiKvdZuHAhXF1dDREQEFBpn+uL0/PWqUTmYop6dW/iC7lcjuJCNfIzr9VH2kQ2yRT16tDIGc6N3QAAWQlcoJ7IXGpTr0Dtfie+HY6O9ujSST9b4sjxGJRqNCY9P1FDYCn1WlvTpt0NLy9XZBfLceRqAf778XdJ8iCqC6WUT56RkQGtVgtfX98K2319fZGSUvPdHV599VW88cYbGDZsGKKiqr+tcUlJCUpKSmo8l3dzfbMrLSa2lpkT2R5LqFeOEiGqHUuq1/ysayguLDQieyLbUh/1CtTud+Lb0atXK6hUCuRr5Di677jZnodISg2lXmvDwcEOr856EABwKN0J4StXoEStljQnImNIOrJLo9Hg6NGjGDp0qGGbTCbD0KFDERERUe1xr732Gt566y2MGjUKR48eve08fDiNkeiWLKFePQP1f9XKSuQoEaKaWEK9Xm9Os16JamIJ9WoK19frUiLmRM1v5ImsVUOp19p4+umR8PNzR06JHBEXchDx+19Sp0RkNElX0g8NDRVqtVpMnDhRtG3bVqxYsUJkZWUJHx8fAUCsXbtWfPDBB4b9X3/9dVFUVCTGjh0rfH19DeHs7FynlfuVdnbi45P7xeKoCNHI013yOwswGPUZxt7ZRep6vWfmdLE4KkLcP3uG5NeOwajvsLZ6vXPiw2JxVIR4fNECya8dg1HfYen1WpccbxVbtr0rdCJM7EzcJZzdG0v+f8BgGBPG1ENDqNdbhZ2dUsQlfCd0IkzsSNgl+oy7T/L/IwajPIyoB+mTff7550VMTIwoKioSkZGRonfv3obHdu/eLdasWWP4PDo6WlRl/vz5dbowvi2bi8VREeK9Azskvw4MRn1HXX5wSlmvT3zynlgcFSEGPj5B8mvHYNR3WFu9PjjnFbE4KkKMfvk5ya8dg1HfYen1Wtccqwu5XC6yc/8QOhEmlv37u+TXn8EwNoytB2uu19rEs8+OEjoRJnJKNot5//wu5EqF5P9HDEZ5WFWzS8oL02noILE4KkK8/PMqyXNjMOo76vsH5+3mN+PX1WJxVIToMGSg5LkxGPUd1lavU7/4RCyOihB9x98veW4MRn2HpderqXPs1KmZ0IkwUaT9Wzzy3jzJXxuDYWxYes3WZ35KpUJEx6w2jNTsdvdwyV8/g3Fj1LYerPpujKbg3SwYABenJ7IG5WsAZSZwgXoiS8d6JbId5et1JauVuHrslMTZENHtePzxwQgO9kaBVobthxJxYmu41CkR1YnNN7t8mnNxeiJr4NDIGc6N3QAAWXzzTGTxPMsXqGe9EjV4AwZ2AAAkFqi4OD2RFVMo5Jj31sMAgKMZjvh72dcQQkicFVHd2Hyzy7vsToxpbHYRWbTyUSL5Wdd422MiC+fi5QmVgz10paW4dotbsROR9btzcCcAwNX0EqRFc7YEkbWaMGEgWrbwg1orw997Y3Bmzz6pUyKqMza7gjmyi8gacEoUkfUoH9WVnZIGnbZU4myIyJyaNvVGQBN36AQQsf8sR4EQWSmZTIa35j8KADiW6YiNS76SOCOi22PTzS7nxm6GaVEZcfESZ0NENfEIbAIAyEpks4vI0rFeiWxH//7tAABpaiUuHuF6XUTWaty4O9CmtT+KSmVYv/UcLh08InVKRLfFpptd5YvTZyUlQ1NULHE2RFQTz8AAAEBWYrLEmRDRrXiwXolsRvni9EmFSkSfYLOLyBrJZDLMX/A4AOBEpgP+5KguagBsutnl04xTGImshUcAR4oQWQtPw7TjRIkzISJzu3NwZwBAfK4c8afPSpwNEdXFmDG90aFdIEpKZfhlwwnEnTojdUpEt82mm13ezZoCYLOLyBpwzS4i68HmNJFtcHNzRvt2gQCAoyfjOFOCyEq9/d5EAMCJLAesW7xC4myITMPGm136aYzpsWx2EVm68pEiWWx2EVk8j8DyeuU0RqKGrF+/tpDLZbhWLMepyBNSp0NEdTByZHd07RQEjQ5Y++tBJF+8LHVKRCZh480u/TTGtGg2u4gsmYunB1QO9tCVluJaSorU6RBRDeRKBRr7+gAAMjmyi6hBu75elwoxJ6IkzoaI6uLdD58EAJzMsMcfHNVFDYjNNrvkCgW8gvTDrjmNkciyefjrp0Rlp6RBpy2VOBsiqkljX1/IFQpoioqRl5EpdTpEZEYDBnYAUNbsOs7F6YmszZAhndGzazNodcDKH/YhIzZe6pSITMZmm12Nm/hBqVJBU1SM7JRUqdMhohq4+/sB4Po/RNagfL0ujuoiathUKiV692kNADhzNQu56RkSZ0RExvrg46cBAKcyVPj9k68lzobItGy22eUVpL8tenpcPIQQEmdDRDVxNyx2zfV/iCwdm9NEtqF795ZwsFdBrZXh6AFOYSSyNv37t0efHs1QqgO+XLmbA0CowbHZZpd3kH69Lk5hJLJ8Hk3KRookJEqcCRHdintZvfJmEkQNW/l6XYmFKkRzCiOR1flw6TQAQFSGEr8v+UbibIhMz2abXV7B+vW60mJiJc6EiG7F3d8XAEeKEFkDjwD9yC5OYyRq2AYMLFucvkDJZheRlendpw3692oOnQCWf7Ud+ZnXpE6JyORsttnlXb44Pe/ESGTx3P3LR4pwGiORpbs+sov1StSQDRjYEQAQnVmKlMtXJc6GiIyxaNnzAIDT6XL8umSlxNkQmYfNNru8mjYFAKRxGiORxXPz8QbAaYxE1qB8zS7WK1HD1bp1ADw9GkGrAw5FnoXQ6aROiYhqqXvPENzZRz+qa8ln/0Cdmyd1SkRmYbPNLlcfLwBAeiybXUSWTq5QoERdhLzMLKlTIaJbaOTeGACnHRM1ZOXrdaWolbhyjIvTE1mTRZ+9CAA4kwb8umS1xNkQmY/NNrsAIC8zC0V5+VKnQUS1kJXEKVFE1qIgOwfFBYVSp0FEZmBnp8S9Y3oDABILVIg5wfW6iKxF5y4tcVe/FgCAxUvDUKJWS5wRkfkopU5ASlycnsh68M5uRNaDUxiJGh5f38Z47rnReHbaKPj6ugMAYvMUiD11RuLMiKi2PvlqBgDgTKoOPy/9TtJciMzNpptdXJyeyHpwShSR9chK5EhMooaiZ89WePGlMZgwYQDs7FQAgJT0PJzV+OHQ8TiO4iSyEh06t8RdfZsBABZ9/Be0JSXSJkRkZrbd7OLi9ERWI5PNLiKrweY0kXVTKhUYO7YfXnr5PtxxRzvD9v37z2L5Z2EQbfqhb+hYxJzgel1E1mLxVzMglwHnUkvx07IfpE6HyOwsYs2u6dOnIzo6Gmq1GpGRkejVq1eN+48fPx7nzp2DWq3GqVOncPfdd9fpebk4PZHxpKpXTmMkMp5U9ZrJeiUymlT1eiNPT1e88cZ4XI1eiV9/m4077miHkhItNm6NwkuL/sUPp+3Q6eW30Dd0LABwvS6yWZZQr8Zo17klhvVrBgD44IM/oNOW1uvzE0lFSBmhoaGiqKhITJ48WbRr1058/fXXIisrS3h7e1e5f79+/YRGoxGzZs0Sbdu2FQsWLBDFxcWiQ4cOtXo+FxcXIYQQy88cEt7NgiR97QyG1FFeDy4uLrXaX8p6bdI6RPLrxWBIGdZUr6379Zb8ejEYUoal1+vNOXbsGCy+/fZFUVC4TuhEmNCJMHEt/0+x4+Jf4qtz+8XiqIgKsfDQbvHUV0uEvZOT5NeawTBFGFOzUtdrXV7fP/u/EDoRJs6l/ClkMpnk15vBuJ0woh6kTTQyMlIsX77c8LlMJhMJCQli9uzZVe7/66+/irCwsArbIiIixFdffWXUhfn0xAEhVyok/49iMKQMY39wSlWvy88cEvbO/IWaYdthTfXqFRQo+fViMKQMS6/XG3M8fPJbQ4NLJ8JEcuE/4p/43eLT0wcMza3Zm34VD7/3pugX+qAIaNeav0MzGlwYU7NS1mtdml3tOocITam+vh97YYLk15rBuN2obT1IumaXSqVCjx49sHDhQsM2IQTCw8PRr1+/Ko/p168flixZUmHbtm3b8MADD1S5v52dHezt7Q2fu7i4AAAK0tLg7Oh0m6+AyLqV10NtSFmvmvx82MkVsDMiX6KGxlrqVQkZtPmFRuVL1NBYWr0C1ddsj87B0IlSXM1V4WSWI66kFCD+dBQSzp5H/OlzSDh3AercvArn4u/Q1NDUtmalrtdrOesBGDcFUQZAJgOupBZj09p/+POZrF5tv4YlbXZ5eXlBqVQiNTW1wvbU1FS0bdu2ymP8/Pyq3N/Pz6/K/efMmYO333670va5w+/H3NzcuiVO1MC4uLggLy+vxn2krNeZvYdgJuuVCIDl1+u09j0xLTOzxvyIbIWl1CtQfc3KMBwKGdDKTR9oDqDf8BpzJmqoblWzUterQlb32gzxBXL5+zQ1ILeq1wZ/N8aFCxdW6KS7uLggMTERAQEBt/zlg4zDa2te5rq+Li4uSEqyjMWkWa/1h9fWvFiv/JoyNV5f87GFegVYs/WJ19Z8zHltLalmWa/1h9fWfKSuV0mbXRkZGdBqtfD19a2w3dfXFykpKVUek5KSYtT+JSUlKCkpqbQ9Ly+PX8xmwmtrXqa+vrU9F+u1YeK1NS/WK5kar6/5NOR6BVizUuC1NR9zXNvanI/12nDx2pqPVPUqN+kzGkmj0eDo0aMYOnSoYZtMJsPQoUMRERFR5TEREREV9geA4cOHV7s/EZkG65XIerBeiawH65XIerBeiayLpCvph4aGCrVaLSZOnCjatm0rVqxYIbKysoSPj48AINauXSs++OADw/79+vUTJSUl4pVXXhFt2rQR8+fPr9Ot0et621YGr60tX1/Wa8MJXtuGf31Zrw0reH0b9rWt73q1lNfdUIPXtmFfW9Zrwwpe2wZ9baW/CM8//7yIiYkRRUVFIjIyUvTu3dvw2O7du8WaNWsq7D9+/Hhx/vx5UVRUJKKiosTdd99d6+eys7MT8+fPF3Z2dpK/7oYWvLa2cX1Zrw0jeG1t4/qyXhtO8Po2/Gtbn/VqSa+7IQavbcO/tqzXhhO8tg332srKPiAiIiIiIiIiIrJ6kq7ZRUREREREREREZEpsdhERERERERERUYPBZhcRERERERERETUYbHYREREREREREVGDYXPNrunTpyM6OhpqtRqRkZHo1auX1ClZtDfeeAOHDh1Cbm4uUlNT8ddff6F169YV9rG3t8fnn3+OjIwM5OXlYd26dfDx8amwT9OmTfH333+joKAAqampWLRoERQKRX2+FIs3e/ZsCCGwdOlSwzZbv7asV+OwXusP67Uy1qtxWK/1h/VaGevVeKzZ+sF6rYz1ajzWa/2whnqV/JaU9RWhoaGiqKhITJ48WbRr1058/fXXIisrS3h7e0uem6XGli1bxKRJk0T79u1F586dxd9//y1iYmKEk5OTYZ8vv/xSxMbGiiFDhoju3buLAwcOiH379hkel8vl4tSpU2L79u2iS5cuYtSoUSItLU28//77kr8+S4mePXuKq1evihMnToilS5fy2oL1WpdgvdZPsF4rB+vV+GC91k+wXisH67VuwZo1f7BeKwfrtW7BejV/WEm9Sn+h6isiIyPF8uXLDZ/LZDKRkJAgZs+eLXlu1hJeXl5CCCEGDhwoAAhXV1dRXFwsxo0bZ9inTZs2Qggh+vTpIwCIUaNGCa1WK3x8fAz7PPvssyI7O1uoVCrJX5PU4ezsLC5cuCCGDh0qdu/ebfhmYevXlvV6+8F6NX2wXqsO1uvtB+vV9MF6rTpYr6YJ1qxpg/VadbBeTROsV9OGtdSrzUxjVKlU6NGjB8LDww3bhBAIDw9Hv379JMzMuri5uQEAsrKyAAA9evSAnZ1dhet64cIFxMbGGq5rv379EBUVhbS0NMM+27Ztg5ubGzp06FCP2VumL774Aps3b8bOnTsrbLfla8t6NQ3Wq+mxXitjvZoG69X0WK+VsV5NhzVrWqzXylivpsN6NS1rqVelSc9mwby8vKBUKpGamlphe2pqKtq2bStRVtZFJpPh008/xb59+3DmzBkAgJ+fH4qLi5GTk1Nh39TUVPj5+Rn2qeq6lz9myyZMmIDu3btXOffelq8t6/X2sV5Nj/VaNdbr7WO9mh7rtWqsV9NgzZoW67VqrFfTYL2aljXVq800u+j2ffHFF+jYsSMGDBggdSoNQmBgIJYtW4bhw4ejuLhY6nSogWG9mhbrlcyJ9WparFcyN9as6bBeydxYr6ZjbfVqM9MYMzIyoNVq4evrW2G7r68vUlJSJMrKeixfvhz33nsvhgwZgsTERMP2lJQU2NvbG4aGlrvxuqakpFR53csfs1U9evSAr68vjh07Bo1GA41Gg8GDB+Oll16CRqNBamqqzV5b1uvtYb2aHuu1eqzX28N6NT3Wa/VYr7ePNWtarNfqsV5vH+vVtKyxXiVf4Ky+IjIyUnz22WeGz2UymYiPj+cCf7eI5cuXi4SEBBESElLpsfJF6MaOHWvY1rp16yoXobvxriFPP/20yM7OFnZ2dpK/PqmiUaNGokOHDhXi0KFD4vvvvxcdOnSw+WvLeq1bsF7NE6zXmoP1WrdgvZonWK81B+u17sGaNX2wXmsO1mvdg/Vq+rDCepX+otVXhIaGCrVaLSZOnCjatm0rVqxYIbKysircCYBRMb744gtx7do1ceeddwpfX19DODg4GPb58ssvRUxMjBg8eLDo3r272L9/v9i/f7/h8fLbi27dulV07txZjBgxQqSmpvK2rVXEjXezsPVry3o1Pliv9Rus1+vBejU+WK/1G6zX68F6rVuwZusvWK/Xg/Vat2C91l9YeL1Kf4HqM55//nkRExMjioqKRGRkpOjdu7fkOVlyVGfSpEmGfezt7cXnn38uMjMzRX5+vli/fr3w9fWtcJ6goCCxefNmUVBQINLS0sTHH38sFAqF5K/P0uLmbxa2fm1Zr8YF67V+g/VaMVivxgXrtX6D9VoxWK/GB2u2/oL1WjFYr8YH67X+wpLrVVb2ARERERERERERkdWzmQXqiYiIiIiIiIio4WOzi4iIiIiIiIiIGgw2u4iIiIiIiIiIqMFgs4uIiIiIiIiIiBoMNruIiIiIiIiIiKjBYLOLiIiIiIiIiIgaDDa7iIiIiIiIiIiowWCzi4iIiIiIiIiIGgw2u4iIiIiIiIiIqMFgs4uIiIiIiIiIiBoMNruIiIiIiIiIiKjBYLPrNg0aNAhCCIwbN07qVIjoFlivRNaD9UpkPVivRNaD9Uq2gs2uKgghahWDBg2SOtVac3Z2xttvv40tW7YgMzMTQghMmjTJqHO4ubnh66+/RlpaGvLz87Fr1y5069bNTBnXr9t9bW3btsWWLVuQl5eHzMxMfP/99/Dy8qq0n0wmw2uvvYarV69CrVbj5MmTePjhh+vtnA0R67VqrNfqSVmvN3r00UchhEBeXl6tc7d2rNeqsV6rZ86fhUqlEmfOnIEQAq+++mqlx+fOnYuNGzciJSUFQgjMnz+/1nk3BKzXqrFeq1ebem3SpAl++OEHnD9/Hrm5ubh27RoOHjyIiRMnVnnOoUOHYteuXUhPTzfs+/jjj1faz9XVFR999BEuXryIwsJCxMTEYOXKlWjatKlxF8FKsV6rxnqt2lNPPYU9e/YgJSUFRUVFuHr1KlavXo3g4OAq9/fx8cGKFSuQkJAAtVqN6OhorFy5ssI+0dHR1X7dXbx4sdL5Vq9ejdTUVBQWFuLo0aMYP3583S5EDZQmP2MDcPM30IkTJ2LEiBGVtp87dw7t2rWrz9TqzMvLC/Pnz0dsbCxOnjyJIUOGGHW8TCbD5s2b0aVLF3z88cfIyMjA9OnTsWfPHvTo0QOXL182U+bmd7uvLSAgAHv37kVOTg7mzp2LRo0aYdasWejUqRN69+4NjUZj2Pf999/HnDlz8M033+Dw4cO4//778csvv0AIgd9++82s52yoWK+VsV6rJ3W9lnN2dsaiRYuQn59vuotjBVivlbFeq2fun4UvvvgigoKCqn3+999/H8nJyTh+/DhGjRpVt4tgxVivlbFeq1fbevXy8kJgYCDWrVuHuLg4qFQqDB8+HGvXrkWbNm0wb948wznHjBmDDRs2ICIiAm+//TaEEAgNDcUPP/wALy8vfPrpp4bcd+zYgfbt2+PLL7/ExYsXERISgunTp2PkyJFo165dg/95y3qtjPVavW7duiE6OhqbNm3CtWvX0Lx5czz99NO499570aVLFyQnJxv2DQwMxP79+wEAK1asQGJiIvz9/dG7d+8K55wxYwYaNWpUYVtwcDDef/99bN++3bDNxcUF+/btg6+vL5YtW4aUlBSEhobijz/+wKOPPopffvnldi9PBYJRcyxfvlwIIap8bNCgQUIIIcaNG1enczs6OtbLa7CzsxO+vr4CgOjRo4cQQohJkybV+viHHnqo0uv08vISWVlZ4qeffpL8/+h24nZf2xdffCEKCgpE06ZNDduGDh0qhBDi6aefNmzz9/cXxcXFYvny5RWO//fff0VcXJyQy+VmPaetBOuV9VpTSFmvN8bChQvFuXPnxA8//CDy8vIkv65SBeuV9VpTmPNnobe3t7h27Zp48803hRBCvPrqq5X2CQ4OFgCEp6enEEKI+fPnS35NpQzWK+u1pqjLz8IbY9OmTSIvL69CvW7btk0kJCQIOzs7wzaFQiEuXbokTpw4YdjWr18/IYQQ06dPr3DOyZMnCyGEeOCBByS/vvUdrFfWq7HRvXt3IYQQs2fPrrB98+bN4sqVK8LDw8Poc86bN08IIUS/fv0M22bNmiWEEGLIkCGGbTKZTBw8eFAkJSUJlUplymsl/X+WpUdtvlk89NBDYu7cuSI+Pl6o1WoRHh4uWrZsWWHf3bt3i6ioKNG9e3fx77//ioKCArF06dJ6fz11+Wbx22+/ieTkZCGTySpsX7FihcjPz6/wQ8jPz0+0adNGKJXKW55XJpOJl156SZw6dUqo1WqRlpYmtmzZInr06FFv18OY11ZVpKSkiN9++63S9vPnz4sdO3YYPn/uueeEEEK0a9euwn4PP/ywEEKI/v37m/WcthKsV9ZrTcdLWa/lERISIoqKisTdd98t1qxZw2YX65X1Wk2Y82fhqlWrRGRkpGjWrFm1za7yYLNLH6xX1mtNxxv7s/Dm+Oyzz0RpaalwcHAwbIuIiBBRUVGV9o2IiBARERGGz0eOHFll86Z8+8iRI+v960vqYL2yXo09p4eHhxBCiIULFxq2tWnTRgghxLRp0wQAYW9vX6trVB5nzpwRV65cqbBt48aNIjU1tdK+r776qhBCiGHDhpnsOnHNLhN544038OCDD+KTTz7BwoUL0bdvX/z000+V9vP09MSWLVtw4sQJzJgxA7t37672nHZ2dvD09KxVmFu3bt1w7Ngx6L9nXnfo0CE4OzujdevWhm0LFy7E+fPnERAQcMvzrlq1CsuWLUN8fDxmz56NDz/8EEVFRejbt2+Nxzk6OtbqujRu3Nikr+1m/v7+8PX1xZEjRyo9dujQoQrzprt164b8/HycO3eu0n7lj5vrnFQR65X1erP6qNdyn376KXbv3o0tW7bU8EqpHOuV9Xqz2/1Z2KtXL0yaNAkzZsyolBvdHtYr6/Vm1f0sdHBwgKenJ4KDgzFx4kQ8+eSTiIiIQFFRkWGfPXv2oGPHjliwYAFatmyJFi1a4M0330TPnj2xaNEiw35HjhxBfn4+3n33XQwZMgT+/v648847sWjRIhw6dAjh4eG3fP22iPVqm/V6Iw8PD3h7e6NHjx5Ys2YNAGDnzp2Gx4cNGwYASE1NRXh4OIqKiqBWq/HPP/9Uu75Xua5du6J9+/b4+eefK2y3t7eHWq2utH9hYSEAoEePHrXKvTa4ZpeJODg4oGvXrob56NeuXcNnn32GDh064MyZM4b9mjRpgmeffRbffPPNLc/5yCOP4LvvvqvV88tksjrlXVtNmjTB3r17K20vn8/r7++P06dPG3XOwYMH48knn8SyZcswY8YMw/YlS5bc8tjXX38db7/99i33i4mJQfPmzWvc53ZeW5MmTSrse/Pxnp6esLOzQ0lJCZo0aYLU1NQan8dc56SKWK+s16qON3e9AsDo0aMxYsQIdOnSpcbXSdexXlmvVR1/Oz8Lly9fjt9++w2RkZG3/GWdjMN6Zb1WdfzNPwsB4OWXX8aHH35o+Dw8PBxPPvlkhWPfffddNG/eHPPmzcNbb70FACgoKMC4ceOwadMmw36ZmZmYMGECvv32W+zatcuwfevWrRg/fjxKS0trfO22ivVqm/V6o8TERDg4OAAAMjIy8OKLL1ZoDrdq1QoADOthhoaGIigoCPPnz0d4eDg6d+5cZeMKAB577DEAqNRAvXDhAoYNG4agoCDExcUZtg8cOBAAatVwrC02u0xkzZo1FRZK/e+//wAALVq0qPDNoqioyNA1vZVt27YZuqlSc3R0RHFxcaXt5X99cXR0NGx78sknK/2wqsq4ceOg0+nwzjvvGJ3P999/j3379t1yv+qK70bGvLaqjgVwy+NLSkpq/TzmOCdVxHplvdZ0vLnqVaVSYenSpVixYkWlEShUPdYr67Wm4439WTh58mR06tTJLHd9ItYr6/XW9Vrul19+wZEjR+Dt7Y17770Xvr6+lZ6juLgYFy9exLp16/Dnn39CoVDgmWeewY8//ojhw4fj4MGDhn3T09Nx/PhxfP755zhz5gy6du2K119/HWvWrEFoaOgtX78tYr3aZr3e6O6774aDgwPatWuHxx9/HM7OzhUeL19wPiUlBffcc49hJFlCQgJ+/fVXPProo1i1alWl88pkMjz88MM4duwYzp8/X+GxlStXYtq0afj9998xc+ZMpKamIjQ0FA8++KBRudcGm10mcmNXEtB3xgHA3d29wvbExMQq78xVlZSUFKSkpJgmwdukVqthb29faXt5J7g2RXmzli1bIikpyXCtjBEdHY3o6Gijj6vK7by28sdqc3xtn8cc56SKWK+s11sdb456nTlzpuHOQlR7rFfW662Or+3zuLi4YOHChfj444+RkJBgzEuhWmK9sl5re3xcXJzh6+XXX3/F119/jfDwcLRp08bwhv3zzz9H37590b17d8Ob7N9//x1nzpzBsmXLDNPGmjdvjt27d2PixIn4888/AQCbNm1CTEwM1q5di1GjRmHr1q21vxg2gvVqm/V6oz179gDQj4LcuHEjTp8+jfz8fHzxxRcVzvP7779XmDL5xx9/4IcffsAdd9xRZbNr0KBBCAwMxNKlSys9FhUVhUcffRQrVqzAgQMHAOhHpM2YMQMrVqww6Z1T2ewykeqGx948PNOYonJwcICbm1ut9q1q+L4pJScnG4Yo36h8W1JSklmf/2bOzs6Vbm1aldLSUmRkZNS4z+28tvKhotUdn5mZafgrVnJycpW3zL35ecxxTqqI9cp6rep4c9arq6sr3nzzTXz55ZdwdXWFq6srAP1fzGQyGYKDg1FYWIj09PTqX7yNYr2yXqs6vi71OmvWLNjZ2eG3334zTF8MDAwEoH9zFxwcjKSkpFq/qaPKWK+s16qOv7Feq7Nu3To888wzuPPOO7F9+3aoVCpMnToVixYtqvAmW6vVYsuWLXjhhRegUqmg0WgwefJkODg44O+//65wzvKpjv3792ezqwqsV9us1+pcvXoVx48fx2OPPWZodpWf5+b/K51Oh8zMzEqN0XKPPfYYSktL8csvv1T5+Pr167Fp0yZ06dIFCoUCx44dw+DBgwEAFy9eNDr36rDZZcEmTJhgMXOeT5w4gYEDB0Imk1X4gdOnTx8UFBTU6YvyypUrGDlyJNzd3Y3ujs+aNctkc55v57UlJSUhLS0NPXv2rPRY7969ceLEiQrP8/TTT6Ndu3YVpjD16dPH8Li5zknmx3qtHutV/0baxcUFs2fPxuzZs6t87Rs2bDAM4SbzYr1WryHXa1BQEDw8PHD27NlK55w3bx7mzZuHrl274uTJkzW+LqpfrNfqWWO9Vqd86lJ5o8TT0xMqlQoKhaLSvuXbFQoFNBoNfH19IZPJKu2rUqkAAEol3/LWF9Zr9SylXmvi6OhYYcTY0aNHAVReR0ulUsHLy6vKP9La2dlh3Lhx2LNnT5Xr+JXTaDQVbmpRPv3VlDeUYOVbMKnmPPv5+cHNzQ1XrlyBVqsFoP9ry0MPPYSxY8di/fr1APQ/hB566CGEhYXd8q81VVm/fj1eeOEFzJ8/v8ICf7VhyjnPxry2Fi1aANB3vm98HZMmTUJgYKBhWsRdd92FNm3aVBi6uXHjRixduhTTp0/Hiy++aNg+bdo0JCQkGIZxmuucZF6s1+qxXoG0tDQ88MADlV7PSy+9hH79+uGRRx6p8RcCMi3Wa/Uacr1+9tln2LBhQ4UcfXx88M0332DNmjXYuHGjyaaYkOmwXqtnjfXq5eVV5aiVqVOnQqfT4dixYwD0PzevXbuGBx98EP/73/8MIy6dnZ0xZswYnDt3zjDd8eLFi5DL5QgNDcXatWsN53zkkUcAAMePH7/l6yfTYL1Wz1LqVaFQwMXFBdnZ2RXO2atXL3Tq1KnC3RP37NmD1NRUPPbYY/jggw8M64RNnjwZSqUSO3bsqJTb6NGj4e7uXuWdPasTEhKCadOmISwsDJcuXar1cbUhGDXH8uXLhdC3TCvFoEGDhBBCjBs3rsL24OBgIYQQkyZNMmzbvXu3iIqKkux1PP/882LevHniiy++EEIIsW7dOjFv3jwxb9484erqathvzZo1QgghgoODDdvkcrk4cOCAyM3NFW+99ZZ47rnnRFRUlMjJyRGtW7eu8DxVHV9drF27VgghxObNm8WLL74oXn75ZbFu3Trx/PPP19t1Mea1RUdHi+jo6ArbAgMDRXp6urh06ZJ44YUXxBtvvCEyMzPFyZMnhZ2dXYV9P/roIyGEECtWrBBTp04VYWFhQgghHnnkEbOf01aC9cp6LQ9LrNebY82aNSIvL0+yrzOpg/XKei2P+qrXm6P86+nVV1+t9Njjjz8u5s2bJ95//30hhBA7d+40/L8GBQVJ9vUmVbBeWa/lcTv1unTpUnHo0CGxYMEC8dRTT4nXX39dHDx4UAghxLJlyyqcc+7cuUIIIY4ePSpefvll8corr4gzZ84IIYR49NFHDft5eHiIpKQkUVRUJD799FPx9NNPi6+++kpoNBoRFRUlVCqV5PVT38F6Zb2Wx8316ubmJvLy8sTKlSvFzJkzxTPPPCOWL18u8vPzRUZGhggJCalw/BNPPCGEEOLgwYPihRdeEIsWLRLFxcXi33//FXK5vFJuf/zxh1Cr1RX+f26OM2fOiLfffltMmTJFvPvuuyIjI0NER0cLf39/U18rab5wrSkayjeL6OhoUZ0bC7u6Ym/cuLH49ttvRXp6usjPzxe7d+8WPXr0qPQ8f/zxhygoKBBubm63zEkul4tXX31VnD17VhQVFYnU1FSxefNm0a1bt3q9NrV9bVX9cAcg2rdvL7Zu3Sry8/NFVlaW+OGHH4SPj0+l/WQymXjjjTdEdHS0KCoqElFRURV+WJv7nLYQrFfjvqZZr/VbrzcHm12sV4D1Wn4N66teq/p6qqrZtXv37mr/XwcNGiTZ15tUwXo17mua9Vp1vQ4bNkxs2rRJJCQkiOLiYpGTkyP++++/Cl8jN8YjjzwiIiMjRVZWligoKBARERFi7Nixlfbz9/cXK1euFFeuXBFFRUUiMTFRfP3118LT01OyrzUpg/Vq3Ne0LdWrSqUSS5cuFSdOnBDZ2dmiuLhYREdHi2+//bbaZt+ECRPE8ePHhVqtFsnJyeKzzz4TjRo1qrSfi4uLKCwsFOvWrasx959//lnExsaKoqIikZCQIL788kvh7e1tjuskzRcuo+FGSkqKWLRokeR5MBiMWwfrlcGwnmC9MhjWE6xXBsN6gvXaMENW9gGRSbRv3x4RERFo0aIFMjMzpU6HiGrAeiWyHqxXIuvBeiWyHqzXhsvoZteqVavw8ssvIz8/v8J2JycnLF++HFOnTjVlfkRERERERERERLVmdLNLq9WiSZMmlW4z6enpiZSUFMMtXomIiIiIiIiIiOqbsrY7uri4QCaTQSaTwcXFxXCrV0B/+8rRo0cjLS3NLEkSERERERERERHVRq2bXdnZ2RBCQAiBixcvVnpcCIH58+ebNDkiIiIiIiIiIiJj1Hoa45133gmZTIZdu3Zh3LhxyMrKMjxWUlKC2NhYJCcnmytPk/L390deXp7UaRBZBBcXFyQlJUmdRrVYr0TXsV6JrIel1yvAmiW6kaXXLOuV6Lra1KvRa3YFBQUhPj4eQljnTRz9/f2RmJgodRpEFiUgIMAif7izXokqY70SWQ9LrVeANUtUFUutWdYrUWW3qtdaT2MsFxcXBzc3N/Tu3Rs+Pj6Qy+UVHv/hhx+Mz7IelXfDAwIC2Bknm+fi4oLExESLrQXWK9F1rFci62Hp9QqwZoluZOk1y3oluq629Wp0s+vee+/FTz/9hEaNGiE3N7fCCC8hhMU3u8rl5eXxGwWRlWC9ElkP1iuRdWHNElkP1itR7clvvUtFixcvxurVq9GoUSO4u7vDw8PDEJ6enubIkYiIiIiIiIiIqFaMbnYFBATgs88+g1qtNkc+REREREREREREdWZ0s2vbtm3o2bOnOXIhIiIiIiIiIiK6LUav2bV582Z8/PHHaN++PaKioqDRaCo8HhYWZrLkiIiIiIiIiIiIjGF0s+vbb78FAPzvf/+r9JgQAkql0ackIiIiIiIiIiIyCaM7UwqFwhx5EBERERERERER3Taj1+y6kb29vanyICIiIiIiIiIium1GN7vkcjnefPNNJCQkID8/H82bNwcALFiwAFOmTDF5gkRERERERERERLVldLNr3rx5mDx5Ml5//XWUlJQYtp8+fRpPPfWUSZMjIiIiIiIiIiIyhtHNrokTJ+KZZ57Bzz//jNLSUsP2kydPom3btiZNjoiIiIiIiIiIyBhGN7sCAgJw+fLlyieSy6FSqYw618CBA7Fp0yYkJiZCCIH777//lscMGjQIR48eRVFRES5duoRJkyYZ9ZxEVDesVyLrwXolsh6sVyLrwXolsh5GN7vOnj2LgQMHVto+fvx4HD9+3KhzOTs74+TJk3j++edrtX+zZs2wefNm7N69G127dsWnn36KlStXYsSIEUY9LxEZj/VKZD1Yr0TWg/VKZD1Yr0TWQ2nsAQsWLMDatWsREBAAuVyOsWPHok2bNpg4cSLuvfdeo861detWbN26tdb7T5s2DdHR0Zg1axYA4Pz58xgwYABmzpyJ7du3G/XcRGQc1iuR9WC9Epmfyk4Fe0cHODnbw8HBHnaO9ijIK0RyXIpR52G9krFUdioEt2oqdRpWrzBfjaTYZKOOYb0S1b8RDw7BxTNXEHMxzqjjjG52bdq0CWPGjMH//vc/FBQUYMGCBTh27BjGjBmD8PBwY09nlH79+lV6jm3btuHTTz+t9hg7OzvY29sbPndxcTFXekR0A9YrkfVgvVJ9UyiVcHR2hIOjHRwc7GHvaA8HJwc4ONjB3sEedg52cHS0g529Puzt7WDvoCr7WAU7OxXsHPT/quyU+n9VStjbK6FSKaFSKaBUKWFX/rFSDpVSAZVKWfaxHEqFHEqlAkqFDApF2ecKGRQKGZRyGRRy/ccKGaCQyyCXQ/+xDFBUMzdix5FkjOz1jFmvXV3qFWDNNgQuLo54e/ELeHriQDSyl0mdjtU7GZ2Pbi0eMetzsF6J6k4ul+OzH+fj2QndcSY+H12bGVevRje7AGDfvn2SDL308/NDampqhW2pqalwc3ODg4MDioqKKh0zZ84cvP322/WUIRGVY70SWQ/Wq22RyWRwd2+EoBb+aN4mGEHNAxAQ7AdXVyeo7K43iwz/KhVlDSOFvkmk1DePlOUNI0OTSK5vEin0jSJleYNILjM0iORlzSJZA3yfrhP6a2tudalXgDVrzTw9XTH7zUcw/bm74WSvAAAIAQiJ87J2OmH+K8h6JaqbkA4tsGHrQrQPdAIAaDU6uLq7IPdaXq3PUadmVzlnZ2fI5RX/tJWXV/snrw8LFy7EkiVLDJ+7uLggMTFRwoyIqDqsVyLrwXq1LI0bO8Pb2w0+Po3h4+MG/0BvNG3hjyYBPvDz94C3lys83J3h1sgOjRwUUMgtq9skBFBaFjpd2cc6gVJd+b8CpaUC2lIBrU5X9rEOWm1ZlOqg1ZaiRFuq/1xTCo22FJoSLTTlH2u0KCnWokSjLduuQXGxBiUlGv32Yg2Ki0pQUqJBcXEJSoo1KFIXG7YXFxejuKgERYVFKCoqRrG6BMXqYhQWqFGsLoZOp5P6MtaINWt9AgI8Meu1sXhm2mg42uvftmUWybHmj6OYP/1DqPMLJc6QzIX1SrbsuTcmYdE74+FsB2hKgSUr/8OcaYuMPo/Rza5mzZrh888/x+DBg+Hg4GDYLpPJIISAUnlb/bMapaSkwNfXt8I2X19f5OTkVNsVLykpQUlJidlyIqKqsV6JrAfr1fK4uDjCx6cxvL1dy/51g4+PPnz9PNAk0Bs+Po3h5eWCxq6OUCmNvucQikplKCgWyC3U4FpOEfILiqHRaKEpaxhpNKUo0Wih1egbRiUlWpSUaPVNo/IGUUkJNMXasgZRWbOouLxZVIIidbG+oVRUguKi4rJGkb5JVFRUDHVBEYrUxSjVas1wFRumutQrwJq1Ji1bNsHs2eMwcfJQ2Kn0761S1QpsjEjB/KcXIPVqjLQJUq2xXolqr5GbC37f+jFG9Q0AACRe0+Lh0IXYH36oTuczujP1448/QiaTYcqUKUhNTYWoh+Gf5SIiIjB69OgK24YPH46IiIh6y4GIaof1SmQ9WK/m5+zsYGhYVfr3xqaWjxt8vN1gb68y+jmKS2VQa2UoLJVDrZUjV61F1rVCpGfkIjU5C8mJ6YiPTkbs5XhEX4hGRmIKNEXFZni1ZE6s14arU6dmmP3GeEyYMBCKsoXhEgqU+PeqDp/OW46jYVskzpCMxXolqp27xgzATz/Ogq+rfqr2X3ti8Pi9r0NdoK7zOY1udnXp0gU9evTAxYsX6/yk5ZydnRESEmL4vHnz5ujSpQuysrIQHx+PDz74AAEBAZg0aRIAYMWKFXjhhRfw0UcfYfXq1bjrrrsQGhqKe+6557ZzIaKasV6JrAfr1fwcHOyqblx565tXN29zcrK/9UlvUlIKqEvlKNTKKzSxCrVy5OSXIC0tGynJWUiMS0F8dBIyElKQnZqK7JQ0ZKekoURd918Qqf6wXqlPnzaYM/ch3HdfH8O2q3kqHE53wvrvN2Pz0q+gzs2VMEMqx3olMr2la9/C84/3hlIO5BUDM2b/hDXLfr3t8xrd7Dp8+DCaNm1qkmZXz549sWfPHsPnS5cuBQB89913ePLJJ9GkSRMEBQUZHo+JicE999yDpUuX4uWXX0ZCQgKeeuop3raV6BZ8fRujVSt/tGrlj5CQJli//gCOHbti1DlYr0TWg/VqGj17tsLYsf0qjb7y8XFDo0aORp9PqwMKy5pV6lJZWRNLjsJSmaGJpdbKkJ1fjOTEDKQn6htXOalpyE4pa2KVfVxcwLV6GgrWq+0aOrQL5sx9CHfd1QWAfsH0S7n2OJzuhJOnYrD+3Y8Rc+KUxFnSjVivRKbTvG0wNmz9CJ2CnQHo75D6wIjXEXs53iTnl8HIG3m0aNECK1aswI8//ojTp09Do9FUeDwqKsokiZmLi4sLcnNz4erqanGL6RPdDl/fxggJ8UerVk3QqpU/WpZ9HBLSBC4uThX2nTnjWyxbtsni68HS8yOqT5ZeD5aen7FUKiXi4lfD19e92n00Wh3ySwSKShUoggrqSk2sshFZWjnUpXJodECJuhjZKanISU2/PgrrxmZWSiqK8vLr8ZWSOVhDPVhDjg2RTCbDfff1wZy5D6F379YAAG2pDueyHXA00wkp2Rps/3Il9v70G3TaUomztR2WXg+Wnh+RsZ557XF88t4ENLIDNDpg+XeRmDX1/VodW9t6MHpkl7e3N1q2bIk1a9YYtgkh6mWBeiJb5+PT2DA6q1Urf4SUfRwS0gSurk7VHldaWorY2HRcvpyMy5eScPJkdD1mTUTVUTnYw93PF607NEeb9s3RIsQfwcHeCGjSGL5ejeDtZocf/jiMV558T+pUbc6YMb3h6+uO/BKB45mOKNIpUaiVVWhilehk0P/dUE9TXKxvYqWkljWwrjexykdnFeZwKhKRLVIo5Hj44TvxxpyH0KGDfuSPukiD4ylynC32Qp5GgdO7/sVfC5ciOyVV4myJiMzD2cUZv2z5GPf2bwoASM4pxcMPf4T/tpp+HTujO1OrV6/G8ePH8cgjj9T7AvVEtsDb261SQ6v885oaWjqdrqyhlYTLl5Jx6VISLl1KwuXLyYiOTkFJCe90RVRfFEolXLw84erjBa8AP7RqG4QWLQP0jSx/d/iVNbLcHGVwUekgl1V/rpYhTeovcTKY+vRIAMDZHCccyXSGVqMxjMbKKW9ilTe2ykZq5WddkzhrIrI09vYqTJo0FK/PHocWLfwAALm5hfj3XD4SXdtCXSrHteQU/LVwCc7s/k/ibImIzGfQ3f3x8y+voYmbfhH6v/fH45G7X0NBXoFZns/oZldwcDDuu+8+XLli3Ho/RHSdl5drhTW0bmxoubk5V3ucTqdDXFw6Ll1KwpXLFRtaV6+yoUVkbjK5HI3cG8PVxwuu3t5w8/WGt78PWoToG1mB/h7w83aGl6s9XFWlcLXTwVmpg6zKZpZA+UoC2lKBrAIt0rLUSE7NRVxCJmKuJuPShQQcOcD1WupbQIAnRgzvCgCIvFSIt+8LRX7WNf6Bj4hqzdnZAc8+OwqvvPoA/P09AQDp6TnYsCcaec37QuYchNJiLfZ+/zO2r1jNG0oQUYP2yap5eHFyX6jkQH4JMOvN3/DNxz+a9TmNbnbt2rULXbp0YbOL6BY8PV0N62eFhPgjxPBxEzRu3Kja43Q6HeLjM/RNrLJGVnlTKzo6FcXFmmqPrYpcqYCHfxN4BTeFd1BTeAUF4ujmbYg7deZ2XyJRg+Lo6go3Hy+4envp//XxhpuPN3z8fRAc7IPAAHf4ejmjsT3galcKV5UOLnalcFZW1QAprviZRqdvZKXlIi4+EzHRKbh8MR7nT1/FpXNxSElhI8WSTJ48FAqFHAkFSkTuPoC8zCypUyIiK+Hu3ggvvngvXnxpDDw9XQEA8fHpWPXTARS3GQifdsMgAxB9/BTWv7cIyRf5noqIGq7gkKbYsH0RujTXv/+Nii3AA6NmI/p8rNmf2+hmV1hYGJYuXYpOnTohKiqq0gL1YWFhJkuOyNJ5eroaphvqF4Uv/7jmhhYAwwitmxtaV6+m1L2hFRQIr6Cm8A5uCs+gQHgHNYW7vx8UN62ll5mYxGYX2Qw7R0e4+njBzft6A8vwubcXfPy90NTfAx6NFHC10xlGZLmoSuGm0sGhQjOr6r+8F6g1SE7NRXxiFqKvpuDKpQRcOheLmJg0xMSkIiOD6zRZC5lMhienDAcAnL7mgIuRhyTOiIisgZ+fO1555QE8O22U4cZAFy8mYsmnfyPbux16jXsSbnI5CnNy8feSz3Hor7/5Rw4iatCefPlhfPrRY3Cx19+R+osfD2HmpHfr7fmNbnatWLECAPC///2v0mNcoJ4aIg8PlwoNrZAb1tNyd791Q+vGNbTKm1pXr6agqKjEqDzkCgXcyxpa3sH6plZ5c8vDvwkUquprr7hQjcz4BGTEJSAjLh5xp84a9dxElkihUsHV2xNu3t5l0wq94Obrrf/XsM0THo2dDSOxyhtZ1xtaOtgrBIDCGp8rO0eNhMQsREen4OrlRERfTUFsbDpiYlIRG5uG7GzzrDVA9W/w4E5o0cIPxaUyXMqxx6XII1KnREQWrFkzX7z++lhMfnIYHBzsAAAnTlzFwg/+QHSRM+599SW08fQAABzeuBlhiz9HwbVsCTMmIjIvR2dH/LR5ER4Y1AwAkJpbisce/wS7wvbVax5Gd6YUCoU58iCSlLt7oyrvctiqlT88PFxqPDY+/uY1tJJx+XISrlypY0OriR+8gssbWYHwDm4Kr6aB8Ajwr7GhVaIuQsYNDa2M2Hikx+k/z01LNyoPMh9f38Zo0cIPubmFyM1VIyenAPn5RdDpdFKnZjFkcjlcPD2uTycsa1zdPCKrkYc7AAFnpU7fyLKr2MxyUengalcMlbz4ls+Zlp6LmOgUxMSkIbasgRUTk4bY2DTExqYjP59rqdiKKVP1o7rOZ9sj/uJV5GVkSpwREVmidu2aYvYb4/Hoo4OgVOrfHx04cA4fvP87Dp9Nw7h5r6Fv354AgNSrMVj/7iJcOXJcypSJiMyu/7De+PX3OQhw179v3RqZiNBRryE/J6/ec+EwLLIZjRs7V7sofPmaCtVJSMioclH4K1dSoFbf+o30jeQKBRo38TWsn+UV1BRewYH6hlagP5QqVbXHaoqKkRGfgPTYeGTGJSC9rKmVEZ+A3LQMDoe3YD16hGDGzPsRGjoAqiqalnl5hcjJKURu7vV/c3MLkXvDx9cfL0BurvqGj/WNM2toyDi5uZaNvvIum1ZYeUSWi5cH5GV/WJFBoJGqvJlVWvFfVRYaqXRQymt+Tp1Oh6SkLEMDK+6mRlZcXLrRdUwNU+PGzhg37g4AwJlr9rgYeVjijIjI0vTs2QpvzBmPsWPvMGzbtu0YFn7wBw5EXsTQpyZi1rtPQGlnB01RMXZ8vQZ7vvsJpVreRIiIGraFX8/GK1MHQKUACkqAN95Zjy8++E6yfIxudr344otVbhdCoKioCJcvX8bevXs5SoEk4eZWVUOrCUJC/OHlVXNDKzExs9o1tAoLjXsjLJPL4d7Et9L6WV5BtW9oZcRdH6VV3tzKSUtnQ8uKyOVy3HtvL8x85QEMGtTRsD02Ng2OjnZwc3OGvb3+a8HFxcmwxkddlZaWIi9PXaFZVv5xXm7VzbTKjTO1SRo/AW1bo9OwwfBuFqQfkVU2SktpZ1dhP7lM6EdgqW5sZBXCRaVFI4UWrvaAQl7lrQwNtNpSJCRkXG9gGRpZ+qZWfHwGNBq+yaBbe/TRQXBwsENyrg6pRUpcimCzi4j0Bg3qiDlzQzFiRDfDtvXrD+DDhX/g6NHLaN2vF2b9+SO8g5sCAM7ti8Cf73+CrIQkqVImIqoXgc38sWHHx+geon+/fTahEA+MmoPLZ65KmpfRza6ZM2fC29sbTk5OuHbtGgDA3d0dhYWFyM/Ph4+PD65evYohQ4YgISHB5AkTubk5V7Mo/K0bWklJmfpphjc1tK5cSa5TQ6uxn49+muENo7S8g5veuqFVXIzM+MSyRlaCvrkVqx+lxYaW9XNyssfkyUPx8oz70aqVPwBAo9Hil1/24tOlG3HixPVv/HZ2Sri5OcPV1Qmurk5wc3Oq9HH5vy6uTmX7OpZt13/s5uYMpVIBhUKBxo0b3fLmCLei0WgrTLO88eO8Ss2y6x+rGnsgsFs3tOjbDy4BTVEqZFDIxE3rZBXAUadGI4UGjR0AN2cl5LLqmln67SUlGsTGpiM2tuKorPJ/ExMzUVrKP7DQ7ZsydQQA4Hy+C0o1pZxyREQYPbon5sx9CP37tweg/wPLzz//i48+XIdz5+Lh4umBxz56B91H679/5KSmY8NHS3Fqx24p0yYiqhdPPP8Qln/yBFwdZCjVASt+PYqXn1hgEYOfjG52zZ07F8888wyeeuopXL2qf8PWsmVLfP311/jmm2+wf/9+/Prrr1i6dCkeeughkydMtsPDwwUdOgQZon2HILRv3xS+vu41HpeUlInLl/UNrfL1s8qnHda1oVXezCpfP8sruCk8A/0rjVK5kbakBBllDa2M2IqjtHJS09jQaoD8/T3wwgv34plnRxnWesvKysPXK7bgiy82Iykpq9IxJSVapKfnID0957ae29HR3tD40jfLrn98cwOtuqaZq6sT5HI5VColPD1dbzm9t2aZ0Gh1UFU7x/B6M7iwsNgwEiv2pkZWTEwaUlKusV7I7Lp2bYHu3VuiRFOK8zn2iDl1EiVqy58aTESmJ5fLMX78HZgzNxRdujQHABQVlWDN6nB8/PGfiIlJhUwuR/+Hx+Hul6bB0aURdKWl2PfzOmz94hsUF9R80xMiImvn4OiA7//+COOGtIBMBqTl6TBx0qfY/pflNPqNbna99957GDdunKHRBQBXrlzBrFmzsH79erRs2RKvv/461q9fb9JEqeFyc3Ou1NTq2DEYfn7VN7WSk7OqXEPr8uVkFBQUGfX8MpkMjf18K66fVf5x04BbNrQyE5LKFoMva2qVjdLKTk2DsICONplf164tMPOVB/DwwwMN63FdupSEZZ9uxHff7TS6yVoXanUx1OpipKZm1/kcMpkMzs4ONzXNKjfLfJv6oXnbFmjSLACurk6wVwjYyQXs5DoooYWjnX69rfJGV25uYZXrZZX/e7uNPiJTmFq2MP3xK3koKvXFRU5hJLI5KpUSTzwxBLPfGG8YmZ2XV4gVX23B0qUbkZKin9US0K41xr81G0Gd9KO94k6fxboFHyHx3EXJciciqi+9B/fAH+vnoamH/o/X2w8nI3Tkq8i9Vv+L0NfE6GZXkyZNoFRWPkypVMLPzw8AkJSUBBeXmu9gR7bHxcWxrKEVbGhqdegQhIAAz2qPiYlJxZkzcTh7Jg5nyuLChUSjF+KWyWRw8/XRN7GCm+rXzypbFN6zaQBU9vbVHqvVaMqmHN6wflbZIvHZKWxo2SqZTIbRo3vilVcfwJAhnQ3b//33NJYu2YC//z5sEcN3jSGEQH6+fqH7m0eheTcLQpeRQ9H1zqFQt2qJswDOXgO0qSU4vz8SJ7ftxJk9+1BcUAi5XA4XF/1Isfx8Na5dy5fmBRHVkoODHR57fDAA4LJW/zPpEhenJ7IZTk72eOqpEXh11oNo2tQbAJCZmYvPloXh88//Nvwcs3d2wqjnn8GAR8dDrlBAnZePf5Z9hYg/NvD3QSKyCQuWv4rXnxsMOwVQqAHmvrsBn727Suq0qmR0s2v37t34+uuv8dRTT+HEiRMAgK5du+Krr77Crl27AACdOnVCdHS0SRMl6+Hs7ID27ZsaGlvlTa2gIO9qj4mPT8fp0+VNrVicOROHc+cSjGpqyWQyuPl4wyv4xvWzAuHZVN/UUjnU3NDKSkhCetmdDTNi4/XTD+MScC05lb/AkIGjoz0mThyCGTPvR5s2gQD063f89tt/+HTpRhw9elniDE3Hs2kguo4cii4j70JA29aG7VqNBhcPHMKJbTtxZvdeFOUXVDhOp9MhJ6cAOTkFN5+SyCKNHdsPjRs3QnxiFtLQCuq8fMSfPid1WkRkZm5uznj++Xvw8oz74O3tBkC/HMbiT/7CN99sqzBboPPwIXhg9ky4+ep/nz32z3Zs+vgz5GVkSpI7EVF9ahLkhw07Pkav1o0BABeS1Hjg7nm4cOqStInVwOhm19SpU/HDDz/g6NGj0Gg0+pMoldi5cyemTp0KAMjPz8err75q2kzJ4jg52aNdu6YVph926BCEZs18qz0mMTHzppFasTh7Nh65ubVb20Amk8HVx+v6GlpBTa83t27R0CrVaJGZkFjpLocZ8QnITk6FrrTU6GtAtsPPzx3PP38Ppj13t2Etq+zsfHzz9VZ8/vlmJCRkSJyhaXgE+usbXCOGIrB9G8P2Uo0WFyMP4eS2nTi9+z+ocy1rmDLR7ZhSNoVx15EkoGVrXDl8lD8TiBowb283zJhxH6Y/fw/c3JwBAFeuJGPRR+vx/fe7UFysMezrEeiPsfNmod2AfgCA9Nh4/Pn+x5zqTEQ24+FnHsRXy56Em4MMpQJYvf4kpj/yNkq1ln23c6ObXampqRgxYgTatGmD1q31f+m/cOECLl68Pkd9z549JkuQpOfgYIe2bQMrNbWaN/eFXF714tMpKdcMTa3Tp/Ujtc6ejUN2du1HesgVCvg0D0Zg+7YIaNcage3awL9tKzg4O1d7TKlGi6zEpErrZ6XHxbOhRXXSuXMzzJj5AB599E7Y2ennpV+5koxln27CmjXhRq8RZ4nc/f3QZYR+BFdQx/aG7aVaLS4fPIIT23Yhaue/UOfmSpglkXm0aOGHu+7qAp1OhwuFrvAGcDHyiNRpEZEZNG3qjVmzHsRTT4+Ao6P+D6SnT8fiw4V/4Lff/qtwZ1+FUonBkx/D8GefhMrBHtqSEuxc+T12rfoB2pISqV4CEVG9sXOww9oNHyJ0RCvIZEBGvg6TpyzHP3+ES51arRjd7Cp34cIFXLhwwZS5kMTs7JRo0yYQHTtWXFOrRQtfKBSKKo9JS8uutKbWmTNxyMoybtSHQqmEX0gLBLRrg8D2bfSNrTatqhypVarVIisx+ab1s/RNrWvJKWxo0W2TyWQYNao7Zr7yAIYN62rYvm/fWSxdsgEbNx60uvW4btbYzxedRwxB15HDENy5g2G7rrQUlw8fw4mt4Ti9818UZHPxeGrYnnxyGAAgfOcpNG49EABwMeKQlCkRkYm1bh2A2bPH4fEnhhhuJHPw4AUs/OAPhIUdqnTH3xY9u2Hcm6/Br6X+TowXIw9j/XsfIyM2vt5zJyKSQo/+XbBuw3wEe+n/2L/7eBrGj3gV1zKypU3MCLVqdi1evLjWJ+T0RcunUinRurV/pTW1QkKaQKmsuqmVmZlboalVPlorI8P4kR5KOzs0aR2CwHZtENBeP2KrSauWVd71sCi/AInnLyLh3AUknr2AhHMXkB4bB52WDS0yPQcHOzzxhH49rnbtmgLQr8e1bt1+fLp0Iw4dsu67LLn5eqPz8LvQdeRQNOvaybBdV1qKK0eO4+S2XYjauQf5WdckzJKo/sjlckyaPBQA8M+/lxH88DBkp6QiPSZO4syIyBS6dm2BN+Y8hPHj7zDMRti58yQWfvA7du06VWl/Z/fGGPPqC+h1/z0AgLzMLGxctAzH/9ler3kTEUlp/tKZeOPFu2CvANRa4H8f/o3Fb30tdVpGq1Wzq1u3bhU+7969O5RKpWFkV+vWrVFaWoqjR4+aPkOqM6VSgZCQJujQIQgdO15varVq5W/4q9bNrl3Lr7Sm1pkzcUhNza5TDnaODvBv3QqBHdroR221awPfls2hqOKOnoW5uUg4e72plXDuAjLjEir9tY3I1Hx8GmP69NF4bvpowwK1OTkFWPntdixfHoa4uHSJM6w7V28vdB4+GF1GDEWLHl0N23U6HaKPncSJreGICt+DvMys6k9C1ECNHNkNgYFeyMjIRVyxC4KhH8FBRNbtjjvaYe68UIwe3dOwbePGSHy4cB0OHqw8M0Umk6H3g/fi3ldegJObK3Q6HSJ+/wtbln/NNSqJyGb4Bvrgz+0fo187DwDApZQijL33fzhz1Dpv2lOrZtddd91l+HjmzJnIy8vDpEmTkJ2dDQBo3Lgx1qxZg//++88sSVLN7OyUaNbMt9KaWm3aBBjWGLpZbm5hFdMPY5GUVPc3vA6NnOHfVj9SK6BdawS2bwufZkGQVzEFMj/rGhLKm1pnzyPx3AVkJSbX+bmJ6qJDhyDMnHk/Hnt8COzt9bUSE5OKZZ9uwurVO5CXV/u7gVoSF08PdB4+BF1GDkXz7l0qrK139egJnNy+E6d27EFuesNYVJ+orqZMHQEA+OnH3WjeawAAcNFpIis2YkQ3zJkbikGDOgIASktL8euv/+GjD9fh9OnYKo/xa9US4996Hc27dQYAJJ67iHXvfoS4qLP1ljcRkdTGPzkGX3/xNNwdZdAJ4LsNp/Fs6FsWvwh9TYxes+vVV1/FiBEjDI0uAMjOzsabb76J7du3Y8mSJabMr8GQyWRwcrJHo0YOcHZ2MPx748dVbXOuxf7VTT0EgPx8Nc6ejceZsmmH5XG7d45zdHVFYLvWCGx/fcSWd7OgKvfNSU3XT0M8d725lZNqvSNlyPqNGNENM195ACNHdjdsi4g4jyWL/8KGDZEVFqi1Fo083NFp6GB0GXkXWvbsVqHJHHMiCie27cSpHbtYe0RlvL3dcN99vQEAP/8RgYe/1t9R+tJBNruIrNGiRU9i1mtjAQAlJRqs/W4nFi36E1euVP3HVDtHB4yYNhV3TnwYCqUSRQUF2Pr5t9j/yzqu/0pENkNlp8KqPz/Ao6PbQi4DMgt1mPr0l9j08zapU7ttRje7XF1d4e3tXWm7t7c3XFxcTJKUJevbtw169AhBo0aOcHa2N/zrXP5vhWbU9X2cnCovtG5KhYXFOHs2rtJorbi49NueBtjIw93Q0CpvbnkG+le5b1ZSsn4qYlljK/HsBU6PIotgb6/CY48NxoyZ96Njx2AA+r/4rl8fgU+XbkBkpPXdcMO5sRs6Dh2ErqOGIaRX9woNrtiTp3Fi+06c2r4b2SmpEmZJZJmeKFuo+tChi9C4+AEAki5cQn4m16wjsjZKpQLPPDsKAPDlF5uxcOEfSEzMrHb/DoMH4IE5r8DDvwkA4OT2Xdi46FP+QYiIbErXvh2xbuM7aOGjXzt776kMjB85Cxkp1X//tCZGN7v++usvrFmzBq+++ioOHdLfrahPnz74+OOP8eeffxqdwPTp0/Haa6/Bz88PJ0+exIsvvojDh6v/q+rLL7+M5557DkFBQcjIyMC6deswZ84cFBcXG/3cxmrWzBf/7v2w2vWuakOn06GgoAgFBcXIz1dX+LegoAj5+UUoLPtXv9/1j2valpenNsnaVq7eXghs3xaB7VojoH0bBLZvi8a+PlXumxGXUGEaYuK5i7xzmw2wppoF9KM3nnvubkx//h74+DQGAOTlFWLVyh347LMwxMRYVyPI0dUVnYYOQteRdyGkT88K69/FnT6Lk9t24eT2nbiWlCJhlmQprK1e69OUqcMBAKtX7UCrvr0AcL0ukhbrte769GkDV1cnZGTk4sUXv672d+LGfr54cM5MdLxrEAAgMyEJf32wGOf+O1Cf6VIDwHolazfnoxfw1isj4aAEirTAgsVb8eEbX0idlkkZ3bWZNm0aPvnkE/z8889QqfRr3Gi1WqxatQqvvfaaUecKDQ3FkiVLMG3aNBw8eBAzZszAtm3b0KZNG6SnV/7LyiOPPIIPP/wQU6ZMwYEDB9C6dWt89913EELUy10gX3zxXqhUSly6lIR9/52pphFV3ryqalsx1GrL+Ybm3sRPP2KrQ5uydbbawNXLs9J+Op0O6TFx+tFaZ8uaWxcuoSgvX4KsSUrWVrNvv/0oXp89Dg4O+r9WxMWl47Nlm7By5Xbk5haa/flNxdHVBR2HDESXUcPQuk8vKG5ouCecvYCT23fixLadyEpIkjBLsjTWVq/1qW/fNmjfPggFBUX45Zd/8dIfzwAALrHZRRJhvd6e4cO7AgDCw09U2eiSKxW487EJGDH9Kdg7OaJUo8Xu735C+DdroCmynN/NyTqwXsmaefl54s8dn2BARy8AwJW0YowbMx+nDp2RODPzEHUJJycn0alTJ9GpUyfh5ORUp3NERkaK5cuXGz6XyWQiISFBzJ49u8r9ly9fLsLDwyts++STT8R///1X6+d0cXERQgjh4uJiVK4uLo4iO+c3oRNhYuTI7nV6vVKGZ9NA0WXkUHHPjOfEs98sEwv+2yoWR0VUio9P7BOz/vxRPPzem2LAow+J5t06CztHR8nzZ5gnjK2H+q7ZutYrAOHoaC+0pRuFToSJyIOLRWjoAKFUKiS/5rUNh0bOoseYu8XUzz8RHx3bW6FOX/ljrRj61CThFRQoeZ6M+ouGXK/1Hd9++6LQiTCxes0M4dk0UCyOihAfHdsr7BwdJM+N0TDC0uu1Ljlacuzbv0joRJiYMmV4pceadekkXl3/g+Fn6PTvvhS+LZtLnjPDssKYemC9Mqw17n9slMgo2CR0IkxodWFibdgiobJTSZ6XsVHbeqjzfLzCwkJERUXV9XCoVCr06NEDCxcuNGwTQiA8PBz9+vWr8pgDBw7g8ccfR69evXD48GE0b94co0ePxg8//FDt89jZ2cHe/vp6WXVdV2zKlOFwdXXC2bNx2LbtWJ3OUR9kcjm8g5tWWDg+oG1rOLpWft1ajQYpl64i8dwFxJdNRUy+dIV/4aIq1UfNmqpeAaBlSz/I5XJcu5aPvn2s469m9s5O6DB4ALqMHIq2/ftCaWdneCz50hWc2LYTJ7ftRHpMnIRZkjWwtnqtT87ODgidoL/z4upV29G6bApjzIkolKiLpEyNbJS1/U5sadzcnNGnT2sAwI4dJwzbHV1dcc/M59Bv/AMAgIJr2QhbvByHN/4jQZbUULBeyRoplEqsXP8+nhjTHnIZcE0t8Mxz32D92r+lTs2sjG527dq1q8a1oYYOHVqr83h5eUGpVCI1teJ6OampqWjbtm2Vx/zyyy/w8vLCvn37IJPJoFKp8NVXX1X4ZnOzOXPm4O23365VTtWRy+V48aUxAIBln266rXOZQ7MundBl1FA0bd8W/m1bwd7JqdI+muJiJF24XOGOiCmXo1Gq0UiQMVmj+qhZU9RruZAQ/aKzly5Z9tQ+O0fH6w2uAX2huuEXm5Qr0Ti5NRwnt+9C6tUY6ZIkq2Nt9VqfQkMHwMXFCRcuJGDfvrOYtORxAJzCSNKxpt+JLdGQIZ2gUChw4UIC4uP1U8h6jLkb9816EY083AEAB9dvwt9Lv0BhTq6UqVIDwHola9OhRzv8tXkBQnwdAAAHzmRi7IhZSEvKkDgz8zO62XXixIkKn6tUKnTt2hUdO3bE2rVrTZVXlQYNGoS5c+di+vTpOHjwIEJCQrBs2TK8+eabeO+996o8ZuHChViyZInhcxcXFyQmJhr1vPfd1xstWvghMzMXP/6453Zegsn5t2mF59d+VeEubMWFaiRduGRYOD7h3AWkXo2BTsvbKFP9MrZmTVGv5Vq10t8x1BKbXXaODmh3Z390GXEX2t/ZHyqH6w2utOhYwwiulMtXJcySbI2U9VqfyhemX7M6HDK5HCF9egAALkYckjItIqNI9TuxJRo+vBsAIHzHCfg0D8a4t15HSK/uAPSjote/uwjRx09JmSLZONYrSWXWe9OwYPY9cFACxVrgvWXb8f6s5VKnVW+Mbna98sorVW6fP38+GjVqVOvzZGRkQKvVwtfXt8J2X19fpKRUfRexd999Fz/88ANWrVoFADh9+jScnZ3xzTff4P33369yxFlJSQlKSkpqnVdVZsy8HwDw9YqtFrXAvEwmw7i3XoNcocDlw8dwcP1GJJy9gPTYeAidTur0qIGpj5o1Rb2WKx/ZdeVysknOZyojpk3B4Ccfh72To2Fbemw8TmwLx8ltO5F88YqE2VFDYW31Wl/atg1E//7todWWYu3anQhs3xZOrq5Q5+Yh4ewFqdMjG2VNvxNbomFli9NfzVHg1fU/QKlSoURdhO1frcS/P/zKP/aSSbFeyRq4ezXG+h2LMbirDwAgJqME4+5/B8cP2FbjX26qE/3444+YMmVKrffXaDQ4evRohWmPMpkMQ4cORURERJXHODk5QXdTE6e0tNRwrDl0794Sd97ZERqNFl9+udksz1FXvR+8F826dEJRQQF+euNtHNu8HWnRsWx0kVlYS82Wa2mB0xgD2rbGyOefhr2TIzLiE7Bz5fdY8tAkfHhvKLYu/4aNLjIZa6vX+jJlin5U1+bNh5Gamm1Yr+vSoaPQlfINMUmD9Vp3zZr5olUrf2i1pfAaeDeUKhXO/rsfix54BLvX/MRGF5kc65Us3T0ThuNCzFoM7uoDIYBftl5E26aP2Fyjq5xJVsR//PHHRWJiolHHhIaGCrVaLSZOnCjatm0rVqxYIbKysoSPj48AINauXSs++OADw/7z588XOTk5YsKECaJZs2Zi2LBh4tKlS+LXX381+cr95bH2+1eEToSJ7394RfK7DtwYTm6uYsHeLWJxVIS4c+LDkufDsM4wth7qu2Zv584zsXGrhU6EiT592kh+ncvjsY/eEYujIsTjixZIngvD+qIh12t9hFKpEMkp3wudCBNjxvQWAMS0lcvF4qgIcceEsZLnx2hYYen1WpccLTGefnqk/q7LRz4Ti6MixAcHdwqFyvruLMaQPoypB9YrwxJDoVSKb9a9LzS6MKETYSKrcJOY8NT9kudljjDb3RjXr19f4XOZTIYmTZqgZ8+eePfdd4061++//w5vb28sWLAAfn5+OHHiBEaNGoW0tDQAQFBQUIUu+HvvvQchBN577z0EBAQgPT0dYWFhmDdvnrEvo1aaNPHAww8PBAB8unSjWZ6jrkbPeA7O7o2RdPEy9v38h9TpkI2w9Jot5+Bgh6ZNvQEAly1kGqN7Ez90GXEXAGD36h8lzoZsgbXUa325995e8PV1R3JyFv755whUDvZo3q0zAOAiF6cnibFe66Z8CuO5xEKghf5GE7z5Epkb65UsTbuurfHXP++jdRP9IvQHz1/D2JGvIzmu6qm1tsSoLtrq1asrxMqVK8XChQvF8OHDJe/w1SaM6Yq/++7jQifCxL97P5Q87xsjqHMH8fHJ/WJxVIRo3q2z5PkwrDcs/a9Edc2vQ4cgoRNhIjPrF8lfQ3nc//oMsTgqQjz7zTLJc2FYZzTUeq2vCPv7f0InwsTChZMEANHmjj5icVSEmLftT8lzYzS8sPR6sJYcawq5XC4yMn8WOhEmPvlntVgcFSH6PvSA5HkxrDMsvR4sPT+GdDHj7adFQYl+NFeRNky885llzUgzR5htZJcx63JZMwcHOzw77W4AljWqSyaXY9y81yCXy3F442beXYaoCiEh+jsxWsqoLkdXV/QZNwYAsHvNTxJnQ2R7/P09MGqU/u5sq1fvAAC07tcbAHAp8ohkeRFR3XXv3hIeHi7Izi4A/FsBAM7/V/WaSUREDU1jTzf8se0TDO3hBwCIy9TgobHv4vDe4xJnZjlMtkB9Q/PEE0Pg5eWK6OhUbNx4UOp0DO6YMBaB7dugMDcXfy/5Qup0iCxSiIUtTn/HhAdh7+SExPMXcTHikNTpENmcyZOHQaFQYO/e04bvC6369gQA1iSRlRoxohsA4NjZZMgUSiRfuoLslFSJsyIiMr+RY4fgQsz3GNrDD0IAf4RfQdumj7LRdZNajezKzMxE69atkZmZiaysrCpvj1ouPz8fZ86cwezZsxEVFWWyPAktewABAABJREFUROvbyzPuAwAs/yys0t0zpNLI0x13v/AMAOCfZSuQn3VN4oyILFOrVvqRXVcsYGSX0s4OAx59CACwZ+3PEmdDZHtkMhmenDIMALB6lX5UVyMPdwS0bQ0AuHzoqGS5EVHdla/XFZurBFw5qouIGj65XI7Pf3obT4d2g0IO5BQJPD/zO/y84k+pU7NItWp2zZw5E3l5eQCAGTNm1Livvb09Ro8ejTVr1qBnz563naAURozohvbtg5CbW4hVq7ZLnY7BmFdehKOrC+JOn0XkOsuZWklkaVqWjey6fFn6kV09xoyCq5cnriWn4MTWcKnTIbI5gwZ1RMuWTZCbW4h16/YDAFr10f9+knj+Iv9wRGSFnJ0dcMcdbQEABR7NAQDn/jsgZUpERGbVumMI/tryPtoFOgEAjlzKwdgRryMhRvr3O5aqVs2u77//vsqPq7NlyxYcPWq9fymdMfN+APq/AOflqSXORq9Fz27oed/d0Ol0+PO9TyAsZLQZkSUqH9kl9TRGmUyGwZMeBQDs/eE36LSlkuZDZIumTB0OAPj1l70oLCwGALTq2wsAcDGCd2EkskZ33tkBdnYqxCdkQePUCkX5BYg+wXVsiahhemHek/hw/lg4qYCSUmDxt3sx77mPpU7L4hm9QH1tJCQkwNfX1xynNrt27Zpi1Kge0Ol0WL48TOp0AABypQJj574KAIhctxHxZ85JnBGR5XJwsENQkDcA6Reo7zBkIHyaB0Odm4eD6zdJmguRLXJzc8a4cXcAQIWR2q376ZtdlyLZ7CKyRsOH69friorOAdxluBhxiH9QIqIGx9XdBb9v/QQjeuv/kJ9wTYuHH1qIAzu53mhtcIH6m7z8sn6trg0bIhEdbRmLXN752AQ0adUS+VnX8M+yFVKnQ2TRmjfXN9qzs/ORkZEraS6DJz8GADjw+18oLiyUNBciW/Too4Pg6GiPqKgYHD58CQDgFdwU7k38oC0pwdVjJ6RNkIjqZHjZ4vSpaAwAOMf1uoiogRk65k5ciP3B0Oj6c3c02jR9lI0uI5hlZJe18vR0xRMThwAAPl1qGWtiufl6Y8T0qQCAv5d+AXWutG/eiSxd+RRGqUd1NevSCc27dYa2pAT//fS7pLkQ2aryKYzlC9MDQOuyKYzRx09BU1QsSV5EVHf+/h7o0CEIOp0OhR7NAQGc38dmFxE1DHK5HJ9+/z9Me6QHlHIgr1jg5dd/wnef/SZ1alaHza4bPPPMSDg62uPo0cvYt++s1OkAAO5/fQbsnZwQffwUjmz8R+p0iCxeiGFxemmbXYOf1I/qOhq2FXkZmZLmQmSLunRpjh49QlBSosGPP+4xbG/drzcA4FLkEYkyI6LbMWxYVwDAuSvpKBE+SDx/EbnpGdImRURkAi3bNceGrQvRIcgZAHDiah4eHDkbsZfjJc7MOnEaYxmVSonnX7gHgOWM6mrdrze6jLgLpVot1r+3CEIIqVMisniGkV0SLk7v3SwIHYYMBADsWfuzZHkQ2bKpZaO6Nmw4iMxM/ahouUKBkF7dAQAXIzgNgMgaDRveFQBwOV1/syZOYSSihuDZ157AiROfoUOQMzQ64OOVB9C95aNsdN0Go0d2yeVyTJ48GUOHDoWPjw/k8or9sqFDh5osufoUGjoA/v6eSErKxO+/75M6HSjt7DB23iwAwL5f1iH54hWJMyKyDi0tYGTXoEmPQC6X48zu/5AWHStZHkS2yt5ehUcfGwwAWLXy+sL0gR3awtHVBYU5uUg4d0Gi7IiormQymWFkV65LIADg/H8HJMyIiOj2OLs449etH+OeO5oCAJKytXhkwkf4b3ukxJlZP6ObXcuWLcPkyZOxefNmnD59usGMNpox834AwJdf/AONRitxNvopUN7BTZGTlo5tX3wrdTpEVqN8GuMliUZ2NfJ0R88xdwMAdq/5UZIciGzdgw/2g4eHC2Jj0xAefsKwvXy9rksHj0DodBJlR0R11alTMPz83FGoLsE1eRMU5uQi9tQZqdMiIqqTQXf3x8+/vIYmbgoAwKb/4vDYPa+jIK9A4swaBqObXQ8//DBCQ0OxZcsWc+QjiQED2qNHjxCo1cX4+uutUqcDj4AmGPbUJABA2CfLUVzAu7gR1Ya9vQpBQd4ApBvZNeDRh6Cyt0fMyShEHz8lSQ5Etq58Yfrv1oRX+KNcq/JmF9frIrJKw4fr78J45uo1lAp/XDxwCLrSUomzIiIy3uI1b+LFiX2glAP5JcDMOb9g1RIuf2JKRje7SkpKcPnyZXPkIpnyUV0//rDbsK6HlB544xWoHOxxKfIIjm/ZcesDiAgA0Ly5L+RyOXJzC5GenlPvz2/n6Ij+E8YBAPas+anen5+IgGbNfDFsWFfodDqsWRNu2G7n6IhmXTsBAC5GHpYqPSK6DeXrdSWWOAMqrtdFRNanWesgbNj2ETo3awQAOBWbjwdHvYHo81z6xNSMXqB+8eLFePnll82RiySaN/fFAw/0BQB8+ukmibMBOgwegA6DB0Cr0eDPDz6ROh0iq1K+OL1UUxj7jB0DJzdXpMfG4/Tu/yTJgcjWPfnkMABAePhJxMWlG7a36NEFSpUKmQlJyIxPkCo9Iqoje3sV7ryzAwAgt1HZel372ewiIusxZcYjOBX1BTo3awStDvh07UF0bfYIG11mYvTIrgEDBmDIkCG4++67cebMGWg0mgqPjxs3zmTJ1YcXXxwDuVyOrVuP4tw5ae90oHKwxwNvvAIA+HftL1zYmshIIRIuTi9XKHDnEw8D0N+BkesBEdU/uVyOyU/qb5SzetX2Co9dn8LIUV1E1mjAgPZwdLRHWmY+Mos9EX/mHPIzr0mdFhHRLTk6O+KXLZ/gvoFBAICU3FI8+ugn2LNZ+hvjNWRGN7uys7Px119/mSOXeufi4mhY12OZBYzqGvb0ZHgENEFWUjLCv1kjdTpEVickRD+y67IEI7u6jLgLHgFNkJeZhSObGs6ahkTWZPjwrmja1BuZmbnYsKHiXYxa9+sNgFMYiazV8LIpjBdTSgDIOIWRiKzCHUN747d1cxDQWN96+SciAQ/f/Tryc/IkzqzhM7rZNWXKFHPkIYkpU4bD1dUJZ8/GYdu2Y5Lm4t0sCIOffAwAsPGjT1GiLpI0HyJrFNJKupFdQ558HACw75d10BYX1/vzE9H1hel/+nEPSkqu31nZxdMD/q1DAACXD3JxeiJrNKxscfpMlTdQApzfx2YXEVk2V3cXbP77Tbg5yFBQArz2vz+w4qPvpU7LZhjd7Crn5eWFNm3aAAAuXLiAjIwMkyVVH+RyOV58aQwAyxjVNXbuq1CqVDi7dz9O79ordTpEVskwsquem12t+vZCQLvWKC5U48Cv6+v1uYlIz8vLFfff3wcAsGpVxZu7tOrbEwCQcPYCCrLr/+YVRHR7vLxc0b17SwBAis4NBdk5iIs6K3FWREQ1W7JqLtwcZLimFujTawYun7kqdUo2xegF6p2cnLBq1SokJydj79692Lt3L5KSkrBy5Uo4OjqaI0ezuOeenmjRwg+Zmbn48cc9kubSdeRQtO7XG5riYmxYuFTSXIislZ2dEkFBXgDqf4H6IZMfBQAc3vA3CnOkv6MrkS164okhsLNT4fDhS4iKiqnwWPl6XRcjD0mQGRHdrqFDuwAAribmolArx4UDB7k2JhFZtOCQpnhsTEcAwCfLt7PRJQGjm11LlizBoEGDMGbMGDRu3BiNGzfG/fffj0GDBmHx4sXmyNEsnps+GgDw9YqtUKulm3Jk7+SE+17T391y18rvkZmQKFkuRNaseXM/KBQK5OUVIi0tu96et0nrELTp3xe60lL8+/0v9fa8RFTRlKkjAFRemB4AWnNxeiKrNmKEfgpjXL4KAHDuvwNSpkNEdEtffD8X9kogPkuDj+Z8KXU6NsnoZte4ceMwdepUbN26FXl5ecjLy8OWLVvw9NNPY/z48ebI0Sz6928PjUaLL77YLGkeI6ZPhZuvNzLiErBr9Y+S5kJkzaS6E+OQsrX2Tm7fhazE+l8rjIiAPn3aoEOHIBQWFuOXXyouBeDTPBiN/XyhKS7G1WOnJMqQiG7HsLLF6bPsfaHT6XBh/0FpEyIiqkGvO7thZN9AAMCceT9Cx5GokqjTNMbU1NRK29PS0uDk5GR0AtOnT0d0dDTUajUiIyPRq1evGvd3c3PD559/jqSkJBQVFeHChQu4++67jX5eAPjtt/+QnJxVp2NNwa9VSwx8LBQA8OcHi6EtKZEsF6LakrJma9KqlX69rkuX6q/h1NjPF11HDQMA7Pnup3p7XqLastR6NbWpZQvTr1u3H7m5hRUeK5/CGH38FG8eQRbNVurVWG3aBKJpU2+UaEqRWKBC/OlzKLiWLXVaZONYr1STz799BQoZcComHz+v+FPqdGyW0c2uiIgIvPPOO7C3tzdsc3BwwPz58xERYdxdUUJDQ7FkyRK888476N69O06ePIlt27bB29u7yv1VKhV27NiBZs2aYfz48WjTpg2efvppJCbWberfp0s31uk4Uxk3bxYUSiVO7diNC/sjb30AkcSkrtmalI/sunK5/tbruvOJCVAolbh08AgSzl6ot+clqg1LrldTcnZ2wISHBwIAVt+0MD0AtO7HKYxk+WylXutieNmorktJhdAKGc5zCiNJjPVKNXngidHo1boxdAJ4efrnUqdj84Qx0aFDB5GQkCDS09NFeHi4CA8PF+np6SI+Pl60b9/eqHNFRkaK5cuXGz6XyWQiISFBzJ49u8r9n332WXH58mWhVCqNep4bw8XFRQghxH/7Ftf5HKaInveNFoujIsQHB3eJxr4+kubCsN0orwcXF5da7V/fNWtMflu3LRA6ESYmTx5aL9fO0dVFvB8ZLhZHRYg2/ftK/n/JaPjRkOrVlDF58lChE2HiwsWvKz0mVyjE+xH6Og1s30by/0OG7YSl12tdcpQqNm56S+hEmNgZu0UsjooQTTu0kzwnRsMLY+qB9cqoKS6lrhM6ESbCj66UPJeGGrWtB6NHdp05cwatWrXCnDlzcOLECZw4cQJvvPEGWrVqhbNna38LYJVKhR49eiA8PNywTQiB8PBw9OvXr8pj7rvvPkREROCLL75ASkoKoqKiMGfOHMjl1b8MOzs7uLi4VAgA+OD932udq6k5urrg3leeBwDsWLEK2alpkuVCVFv1UbPV1Wtt1PeaXf0eehAOzs5IuniZIzPJ4lh6vZpS+cL0a1ZXHtXVtGM7ODRyRkF2DhLPX6rv1IhqRerfiS2ZUqnA4MH6u5kllTRCXmYWEs6elzgrsmWsV6rJS29NRUsfe2hKgemTPpQ6HZunrMtBarUaK1euvK0n9vLyglKprLT+V2pqKtq2bVvlMS1atMBdd92Fn376CaNHj0ZISAi+/PJLqFQqLFiwoMpj5syZg7fffrvS9n37at+YM7W7X3wWLp4eSLkSjb0//CZZHkTGqI+ara5eb0WlUiI4WD90vD6aXQqVCgMfewgAsOe7n83+fETGsuR6NaU2bQIxYEB7lJaWYu3aXZUeb92vNwDg8qGjEFwcliyU1L8TW7K+fdvAxcUJOfklSCtS4ML+gxBCSJ0W2TDWK1XHzsEO816/DwCwbsdFXDx9WeKMqFbNrjFjxmDLli3QarUYM2ZMjfuGhYWZJLGqyOVypKWl4ZlnnoFOp8OxY8cQEBCA1157rdpvFAsXLsSSJUsMn7u4uEg6PzqwfVv0C30QAPDnex+jVKuVLBciczO2Zutar82b+0KhUCA/X42UlGsmfQ1V6XHvKLh6eyE7NQ0ntlQeTUJkjeqrXk1pyhT9DSL++edolTecadW3JwDgYsShes2LyNwawu/EtTF8eDcAQPQ1AJDhHNfrIitkK/Vq695d/iq8G8lRUAK8/OQHUqdDqGWza8OGDfDz80N6ejo2bNhQ7X5CCCiVtRsslpGRAa1WC19f3wrbfX19kZKSUuUxycnJ0Gg0FW7dee7cOTRp0gQqlQoajabSMSUlJSixkLscyuRyjHvzNcjlchzbvA1XjhyXOiWiWquPmq1rvdbnFEaZTIbBkx8FAOz9/lc2rMkiWXK9mopSqcDESXcBqHphensnJzTr3AkAcJGL05MFs8XfiWtrWNni9GkyD+hKS3HhABvXJC3WK1XF08cDz028AwCw4ocIZKRkSpwRAbW8G6NCoUB6errh4+qito0uANBoNDh69CiGDh1q2CaTyTB06NBq7+q4f/9+hISEQCaTGba1bt0aSUlJVX6TsDR9xt2HoE7toc7Lx6ZPlkudDpFRLLlmW7XyBwBcumT+OzG2H9Qfvi2aQZ2Xj8j10t7Rlag6llyvpnLPPb3g6+uOlJRr2Ly5cjOrRY+uUKiUyIhPQFZC/d2llchYtlCvddG4sTN6924FAIgtUCH21Bmoc3MlzopsHeuVqrLsu7loZAek5+sw74VPpE6HbmDUyvdPPPGEsLOzq7RdpVKJJ554wqhzhYaGCrVaLSZOnCjatm0rVqxYIbKysoSPj/7uhGvXrhUffPCBYf/AwECRk5MjPvvsM9GqVSsxevRokZKSIubOnWvylftNHc7ujcW7+7aJxVERYsCjD0l+BwMGAzC+Huq7Zmub3/LlzwqdCBMffDDR7Nfs+e++EoujIsQ9M6dL/v/HsK1oKPVqqii/Q9uHH06q8vH7Xn9ZLI6KEOP/V/XdsRgMc4al12tdcqzvePDBfkInwkRi5jqxOCpCDH266lpnMEwRxtQD65VxY7TuGCKKtGFCJ8LES29NlTwfWwgj6sG4E2u1WuHt7V1pu4eHh9BqtUYn+vzzz4uYmBhRVFQkIiMjRe/evQ2P7d69W6xZs6bC/n379hURERFCrVaLy5cvizlz5gi5XG6OC2PSmLBgnlgcFSFe+X2tkCsUkn+BMBhA3eqhPmu2tvn9s+VtoRNhYsqU4Wa9XkGdO4jFURHio2N7hau3l+T/fwzbioZSr6aIJk08hEa7QehEmGjdOqDKfWb9+aNYHBUhOo+4S/L/O4bthaXXa11zrM/48svnhE6EicMpW8TiqAgR0K615DkxGm4YWw+sV0Z57DjyrdCJMHE5db3kudhKmK3ZVVpaKry8Kr/J69y5s8jMzJT8hZvwwpgsmnXtLBZHRYjFUREiuEtHya8Bg1Eelv6Ds7b5Xbr8jdCJMDFwYAez5jNpyQdicVSEmLBgnuTXhmF70VDq1RTxxhvjhU6EiX/3flh1Ll6eYnFUhPj45H7h5OYq+bVh2F5Yer1aQ44XL30tdCJM/BWzR8zfFSZkMpnkOTEablh6PVh6frYaA0f1E1qdflTX2In3SJ6PrURt66HWi2wdO3YMQggIIbBz505ob1iUWaFQoHnz5ti6dWttT2cz5AoFxr05CwBwcP0mxJ48LXFGRA2LSqVEs2Y+AMy7QL1XcFN0HDoIALDnu5/M9jxEdGtPThkOoOqF6QGgdd9eAIDEcxdQmMM1foisTfPmvggJ8Ye2VIf4AhXO74uEEELqtIiIKlj+1UuQy4DDF7Px5/ebpU6HblLrZlf5XRi7du2Kbdu2IT8/3/BYSUkJYmJisH79epMnaO36PzIe/m1aoSA7B5s//VLqdIganGbNfKBQKFBQUITk5CyzPc+giY9ALpfj7L/7kXo1xmzPQ0Q1u/POjmjVyh+5uYX44499Ve7TqqzZdTGCd2EkskbDh3cDAMRnC2h0cpzbV/XC30REUnl02lh0btYIpQJ48dlPpU6HqlDrZteCBQsAADExMfjtt99QXFxstqQaCldvL4x6/mkAwD/LvkJBdo7EGRE1PCEhTQCYd1RXIw939Lp/NABgN0d1EUlqylT9qK7fft2LwsKqfxcpH9l1KZLNLiJrNGx4VwBAstYFpVotLkYckjYhIqIbyOVyfPDe4wCA7QcTcWjPUYkzoqrUutlV7vvvvwcAdO/eHe3atQMAnDlzBidOnDBpYg3BmFkvwqGRM2JPncHB9ZukToeoQQoJ8Qdg3mZX/0fGQ2Vvj9hTZ3D1yHGzPQ8R1czV1Qnjx/cHAKyqZgqjb4tmcPP1hqaoGNHHT9VnekRkAnK5HHfd1RkAEJuvQszJKBTl5d/iKCKi+vP6B88hyFOFYi3w/KQPpE6HqmF0s8vb2xu//vorBg8ejOzsbABA48aNsXv3bjz88MPIyMgwdY5WKaR3D3QfPQK60lL8n737Dm+qfPsA/s3ubumgZa+y9wZlWvYQFcSBMsUXQQVFRcCB+FOcKAKKCiIuHDjYw7JH2avs1UJbaEv3btbz/pE2UDtTkpwk/X6u67mgJ+ec3Dn0Ju2d57nPn//7iH0GiGykceOCmV2Xb9rk/Gp3N9z/+EgA7NVFJLUnnugFDw8Nzpy5jsOHL5W4T+ESxmvHT0Kv1dozPCKygo4dG8Hf3xs5+QYk5CpxYS+XMBKR43D3dMerLwwEAPyy4QyiL92QOCIqjdzSAxYvXgxvb2+0bNkSAQEBCAgIQKtWreDj44MvvvjCFjE6HYVSiUfmmprSH/j9b8SdL/kHciK6d41sPLOry8PD4Onni6QbsYjcvtsmz0FEFTNx0gAApTemB4Am3bsA4BJGImc1YEBBv64cNQRkOL/3gMQRERHd8dE3s1DNQ4aMPIGXJnJWlyOzeGbXoEGD0K9fP1y4cMG87fz585g2bRq2bdtm1eCcVe9xTyC4YX1kJqdg8+KvpQ6HyKUVzuy6bIOZXXKFAr2efgIAsPuH1RBGo9Wfg4gqpk2b+ujcuTG0Wh1+/HFnifvIlQo06mz6RZnN6YmcU7+C5vSxuW5IS0jErUtXJY6IiMikRt0QTHy0IwDgi+W7kZGaKXFEVBaLZ3bJ5XLodLpi23U6HeRyi0/ncvxCgtHv2QkAgPWfLGaPASIbUioVqF8/GABw5Yr1i11t+vVBQO2ayEpJxZG1vJ0wkZQmFczqWrv2EJKTM0rcp26rlnDz9ER2ahpuXrxsz/CIyAo8Pd3QvXtTAMD1LDWXMBKRQ1m8cjbcVcCtdAPeeWmR1OFQOSyuTu3YsQOLFi1CjRo1zNtq1qyJzz77DNu3b7dqcM5oxKwZ0Hi44+rREzi2YYvU4RC5tHr1qkOpVCAnJx+3bqVa/fx9JprusrJ/9Rro8ngHWiKpaDQqjHmqD4DyljAW3IXx0FH2yiRyQr17t4JarUJKthHpWjnOs9hFRA6idacWeLBPQwDAvHf/gEGvlzgiKo/Fxa7nn38ePj4+iI6OxpUrV3DlyhVERUXBx8cHL7zwgi1idBrNenZHm359YNDr8dd7n0gdDpHLa9y4sF/XTav/YhvapSPqtGgGbW4e9v/6p1XPTUSWeeihbvD398aNG7fx778nS92vSUFz+ksRh+0UGRFZU//+7QAAsfkeMOgMuHyIy5GJyDEsXfkqlHLgQlwuvv2UN61yBhb37IqNjUWHDh3Qr18/NGvWDICpZ1dVn9Wl1Gjw8OyXAQB7f/od8VeuSRwRkesLDS24E6MNmtP3mTAGAHBk7UZkp6Vb/fxEVHETJ/UHAKz6fjuMpfTO03h6oG6blgCAS2xOT+SU+hc0p7+RpcK14yeRn50jcURERMCAh/uiR6tAAMDMGcskjoYqyuJiV6Hw8HCEh4dbMxan9sDEpxBYpzbSEhKx7asVUodDVCWYZ3ZZuTl9SONGaN6jO4wGA3avWm3VcxORZerVq47+BQ2rV64s/eeORp06QKFU4vb1GKTejLdXeERkJbVqBaBFi7owCoEb2Sr26yIih/H54ucAAPvPJGPzmh0SR0MVValiV6dOndC3b19Ur169WFP6mTNnWiUwZxJQpzYemPQ0AGDtR4uQn8NPoYjsoZGNZnb1GfckAOB0+C4kx8ZZ9dxEZJkJE/oBAMLDTyI6OqHU/Rp36wQAuMxZXUROqV+/dgCAhBwF8g1ynN/HYhcRSW/Sy0+iWS136I3AtEkfSx0OWcDiYtfs2bPxv//9DxcvXkRCQkKRPjlVtRnsw3NehkqjwcUDh3B6Gyu9RPZii2WMfsHV0WGI6a5vu1ZyPT6RlORyOcYXFLvKakwPAE26dwHAJYxEzqpfQb+uG9kapNy8hYSrUdIGRERVnkKpxPy3RgMA1u2OwunDZyWOiCxhcbFr+vTpmDhxIlatWmWLeJxO67DeaN6jO/RaLf56/1OpwyGqMhQKORo0CAYAXLbiMsaeTz0GhUqJK0eOI+bseaudl4gs169fW9StG4SUlEz8/Xfpszx8qgchpFEDGI1GXDl8zI4REpE1yGQyc3P661lqLmEkIofw1sIXUcNXgVwd8ML496UOhyxk8d0YjUYj9u/fb4tYnI7a3R0jZs0AAOxc+TOSrsdIGxBRFVKvXnWoVErk5ubj5s0Uq5zTzcsT3UaNAMBZXUSOYOIk0yzLX37ehfx8Xan7Ne5qWsIYe/YCcjMy7RIbEVlPmzb1Ub26H/L1ArdylbjAJYxEJDGfat54cXIfAMDKNcdx6wb7gTobi4tdn332GaZNm2aLWJxO/ykTUK1GCJJjb2L7cs50I7Inc3P6K7estoS6+6MPwc3LE7cuX+UP2kQSCwjwwUMPdQUALF++rcx9m3TvDIBLGImcVeGsrrhcNbT5Olw+xBmaRCSthSvmwNdNhtQcgVcnfyB1OFQJFi9j/OSTT7Bx40ZcuXIF586dg05X9JPWkSNHWi04RxbcsD56P/0EAOCfDz6DLi9f4oiIqhZr9+tSqFTo+dRjAIDdq36psj0IiRzFU0/1gVqtwtGjl3H6dHSZ+zbpVlDsijhsh8iIyNr6Fdxx9UaWGlePnoA2N1fiiIioKqsXWgdjhrcCAHyyZBtys/l/kjOyuNj1xRdfoG/fvti5cyeSk5Or7C+Ej8x9BQqVEmd37sW53fukDoeoyiksdl21UrGrw9AB8K0ehPSE2zi+sexZJERkexMn9QdQfmP6kNCG8AkKhDY3D9EnI+0RGhFZkZubGj17tgAAXM9S4cK+gxJHRERV3dIf5kCjBGJSdPhw9pdSh0OVZHGxa9y4cRg5ciQ2bdpki3icQvshAxDapSO0uXn458PPpA6HqEoKLVjGaI3m9DKZDH3GPQkA2PvzbzDo9fd8TiKqvM6dG6N16/rIzc3H6tV7yty3ccGsrmvHTsKgK72vFxE5ph49WsDdXYNMrQwp+Qqc33tA6pCIqArr3Ks9BnarDQCYPfcnGI1GiSOiyrK4Z1dKSgquXr1qi1icgpuXJx589UUAQPi33yMlzjqzSojIMtZcxtisR3eEhDZEXlY2Iv74557PR0T3ZlJBY/o1aw4gPT27zH0LlzBeZr8uIqdU2K/rRrYaybE3cTv6hrQBEVGVtuTbl6GQAaevZ+GXZX9JHQ7dA4uLXfPmzcM777wDd3d3W8Tj8AZOmwyfwAAkRl3Hru9/kTocoipJoZCjYcMQANYpdvWd+BQAIOKPf5CXVfYv1kRkWx4eGjz+RC8AwHcryl5SrFAq0aizqdcPm9MTOad+hcWuLBXO7+XNYYhIOg89PQSdm/jBKIDpzy2ROhy6RxYXu1588UUMHjwYCQkJOH36NI4dO1ZkVMbUqVMRFRWF3NxcHDx4EJ07d67QcY899hiEEPj7778r9byW8vTzxf2Pmxrw/73gUy6XoCrJEfK1bt0gqFRK5OVpERubdE/nqtOqBRp1ag+DTo+9P/92z7ERORJHyFdLjRp1P3x8PHDlyk3s3n2mzH3rtmkJjYcHMpNTcOvSFTtFSGQbzpiv9yooyBft2zcCYGpOzyWM5CyqYr5WBR9/MhEAsOtEAnZv3i9xNHSvLO7Z9c8//1g1gNGjR2PhwoWYMmUKDh06hBkzZmDr1q1o2rQpbt++Xepx9erVwyeffII9e8ru5WFNddu0gkKpRMK1aFyK4CfIVPU4Sr6Ghpr6dV29Gn/PN8noO2EMAOD4pm1ITyj9NRA5G0fJV0sVNqZf+V14ufs26d4FAHDl0NEqe8Mccg3Omq/3KiysLQAgMVeB9Bwdrh45LnFEROWrqvnq6l54cyIaVddAZwCmTfhQ6nDISoSU4+DBg2Lx4sXmr2UymYiNjRWzZs0q9Ri5XC727dsnJk6cKFauXCn+/vvvCj+ft7e3EEIIb29vi2Md/ML/iU8jI8Rj8+dKes04OKw1LM0HR8nXqVOHCKNYL/76+95yMaBObfHxyX3i08gIEdK4keT/HhwcZQ1nzVdLRuPGNYVRrBc6/T+iZk3/cvd/4cdvxKeREaLLQ8Mk//fh4Lh7OHq+ViZGW4wV300XRrFeHE4MF898tVDyfzeOqjssyYeqmq+uPNRuapGQuVYYxXrx8+ZPJY+Ho+xR0XyweBmjNalUKnTs2BHh4Xc+vRVCIDw8HN27dy/1uLfeeguJiYn47rvvyn0OtVoNb2/vIqOy6rVpBQC4frrsZRVErsiR8tU8s+se+3X1Hvs45ArTnZ/iL1fdG2+Q63GkfLXExImmWV2bNx/HzZspZe7r5uWJOq2aA2C/LnJu9shXwDY5e68Km9Nfz1bhApcwkhOoyvnqyt5dPBNBXnJka4HpE96XOhyyEkmLXYGBgVAqlUhISCiyPSEhASEhISUec//992PSpEmYPHlyhZ5j9uzZyMjIMI+4uLhKxSqTy1GntemHaha7qCpypHwNbWwqdl25ctOCV1CUZzU/dHloGABg58qfK30eIkfkSPlaUUqlAuPGhwEovzE9ADTq3AEKpRK3o28gLT6h3P2JHJU98hWwfs7eq2bNaqN27UDojUBctgrn9x6UNB6iiqiq+erKAqr747mx9wEAlv0YgaT4ZIkjImuRtNhlKS8vL/z444+YPHkykpMr9k24YMEC+Pj4mEetWrUq9dwhoQ3g5umJvOxsxF+JqtQ5iKoSW+ZraGgNAMDly5Uvdt3/+Eio3DSIOXuePUKoypPy/bXQkCGdEBJSDQkJqdiwofyZWk26mZoBc1YXVTWVyVfA+jl7r/r3N91JNS5HhfioGCTHxEoaD5EtuEq+urJF38+BlxpIyjJi7vOfSB0OWZHFDeqtKSkpCXq9HsHBwUW2BwcHIz4+vtj+jRo1QoMGDbB+/XrzNrncVK/T6XRo2rQprl27VuQYrVYLrVZ7z7EWLmGMiTwPYTTe8/mInI2j5KtcLkfDhqYYrlRyGaPKTYMeT4wCwFld5JocJV8tMWFiPwDAjz/shF5vKHf/wub0vGEMOTt75Ctg/Zy9V/0HmIpdN7JUOL83QuJoiCqmquarq2rSKhSjBjQFALz/yXpo83jNXYmkM7t0Oh2OHTuGsLAw8zaZTIawsDBERBR/07tw4QJatWqFdu3amce6deuwc+dOtGvXDjExMTaLlf26qKpzlHytWzcIarUKeXlaxMQkVeocXR4aBs9qfkiOjUNk+K5KnYPIkTlKvlaURqPCwIEdAACrVm0vd3+/4Oqo3qAejAYDrhw5ZtPYiGzN2fLVGlQqJfr0KfjZOkuNC/tY7CLnUBXz1ZUt/X4W1ArgWqIWn7+zXOpwyMosntkll8sxfvx4hIWFoXr16ubKdKG7E78iFi5ciFWrVuHo0aM4fPgwZsyYAU9PT6xcuRIAsGrVKsTFxWHOnDnIz8/H2bNnixyflpYGAMW2W1u9tqY35OhTLHZR1eUI+Vq4hPHatXgIISw+XiaXo9fYxwEAu3/4FUZD+TNIiJyRI+RrRXXp0gRubmrcupWCs2dvlLt/426dAAAxZ84jLzPL1uER2Zwz5as1dOvWFF5e7sjRyxCXqsPVoyekDomowqpavrqqnoO6o28HU5+1116t2I0DyLlYXOxatGgRxo8fj40bN+LMmTOV+mXzbr///juCgoIwf/58hISE4OTJkxg0aBASExMBAHXr1oVR4mWD7j7eCG5YHwBwI5L/KVHV5Qj52tjcnL5ySxhb9+uDwDq1kZ2WjiP/bLBmaEQOxRHytaJ69WoJANizp2LvseYljIe4hJFcgzPlqzUU3oXxRpYalw8dg57LtciJVLV8dVWLv3oRchlw9HI6/vpho9ThkI0IS8bt27fF4MGDLTrGkYa3t7cQQghvb+8KH9P0vq7i08gIMXvjH5LHz8FhzVGZfJA6vk8/nSSMYr345JOJlTrn9F9WiE8jI8TAaZMlf30cHJYMZ8zXio6t2+YLo1gvpk4dUqH95+3aKD6NjBANO7WX/HVzcJQ0HD1fpY7xQMTHwijWi80xO8V9jz0i+bXg4HD0nHX0+JxtPDnlEWEU64XOuF506dNR8ng4LBsVzQeLe3ZptVpcuXLF0sOc2p0ljJESR0JEjQqWMVZmZlejTu1Rt3UL6PLysX/1GmuHRkSVoFQqcN99zQEAu3eX3yqgRpNG8A7wR35OLq6ztQCR0/Hz80Tnzk0AmJrTs18XEdmTXC7H+/97CgCw7VAcDu9i709XZXGx69NPP8X06dNtEYvDKmxOf+M0lzASSa1wGePlyzctPrbPhDEAgCNrNyIrJdWqcRFR5XTo0Aienm5ITs7AuXPlN+pt3K0zAODasRMw6HS2Do+IrOyBB9pCoZAjOU+BKxdvICWucm0JiIgq47X3n0PdABXy9cC0ce9LHQ7ZkMU9u3r06IG+ffti8ODBOHv2LHT/+UFz5MiRVgvOEchkMtRt0wIA78RIJDW5XI6GDU2NJC2d2RXcqAFa9LofRqMRu39YbYvwiKgSCvt17d17rkJ9QJsUFLsuHWS/LiJnZO7Xlc1ZXURkX+6e7nj1hYEAgF82nEH0pfJvikPOy+JiV1paGv7++29bxOKQgurXhYePD7S5ebh5qWot3yRyNHXqBEKjUSE/X4eYmCSLju0z/kkAwJntu5F0I9YW4RFRJfTq3RoAsHdP+R8oKVQqNOzYHgBwmcUuIqfUr6DYdT1LjQt7WewiIvv58OtZqOYhQ0aewEsTOavL1Vlc7Jo4caIt4nBYhf26Ys6dh1FvkDgaoqottKBf17Vr8Rbd5canehA6DDV9irNz5U82iY2ILCeXy9GjR8X7ddVr2woaD3dkJqfg1qWrtg6PiKysYcMQNGpUAwYBXE3U4trxU1KHRERVRI26IZg0uiMA4Ivlu5GRmilxRGRrFhe7CgUGBqJp06YAgIsXLyIpybJZFs7C3K/rFPt1EUkttJLN6XuNGQ2lSoWrx07gRuQ5W4RGRJXQunU9+Pl5ISMjB6dORZW7f5PupiWMnNVF5JwKlzDeylHiXMQx9t0jIrtZvHI23FVAfIYB77y0SOpwyA4sblDv4eGBFStW4NatW9izZw/27NmDmzdvYvny5XB3d7dFjJKq18bUS4T9uoikV9ic/ooFzek1nh7o9uhDAIBdK3+xRVhEVEm9epk+UNq//zwMhvJnazbpyn5dRM6sX3/TMuQbWWqc5xJGIrKT1p1a4ME+DQEA8/63Bga9XuKIyB4sLnYtXLgQvXv3xvDhw+Hn5wc/Pz+MGDECvXv3xqeffmqLGCWj8fBASKgpKa7zToxEkmtUiZld3Uc9BHdvLyRci8b5PfttFRoRVUKv3qZiV0X6dbl5e6FOK9OSx8sRLHYRORu5XI4HwtoCAK5nqdivi4jsZunKV6GUAxficvHNx2xpUlVYXOwaOXIkJk2ahC1btiAzMxOZmZnYvHkzJk+ejFGjRtkiRsnUadUccoUCKTdvIeO2ay7TJHIm5pldFSx2KZRK9Hz6MQDArpU/V+hOb0RkP4V3YqxIv67Qzh0hVyiQGHUdaQmJtg6NiKysU6dQVPPzRJ5BhlORN5jHRGQXAx7uix6tAgEAM2cskzgasqdKLWNMSEgotj0xMREeHh5WCcpRmPt1cVYXkeTkcjkaNTLN7LpcwWWM7YcMgF9wdaQn3saxjVttGR4RWahZs9oICvJFbm4+jh4t/27Hhf26LkUctnVoRGQDAwaYljDGZKlwds8BiaMhoqri88XPAQD2n0nG5jU7JI6G7MniYldERATeeecdaDQa8zY3Nze8/fbbiIhwrenIhXdijD7Ffl1EUqtVKwAajQparQ4xMbcrdEzvcU8AAPb98geb4BI5mMJ+XRERF6DTld87o0k39usicmZ3+nVxCSMR2cekl59Es1ru0BuBaZM+ljocsjOL78Y4ffp0bN26FbGxsTh1ynS74LZt2yIvLw8DBw60eoBSYnN6IsfRuLFpVte1awkVamQd0rgRajYJhS4/HxF//GPj6IjIUnf6dZU/e7pajRAE1a8Lg16Pq0eO2zo0IrIyLy93dO/eDABwKVGPqJOnJY6IiFydQqnE/LdGAwDW74nG6cNcrVXVWFzsOnv2LBo3bowxY8agWTPTm9bq1avx888/Iy8vz+oBSiWgdi14+VeDXqtF3PlLUodDVOWFhlrWr6t1WG8AwKUDh5GbkWmzuIiocizp19W4aycAQMyZ88jLyrZpXERkfb17t4JKpUCaVo5DO4/AqDdIHRIRubi3Fr6IGr4K5OqA58e9J3U4JAGLi10AkJubi+XLl1s7FodSr53pE+fY8xe5/InIARQ2p796pWL9ugqLXZHbd9kqJCKqpAYNglG7diC0Wh0OHSr/AyVzvy4uYSRySv37twMA3MhS48K+g9IGQ0Quz6eaN16c3AcAsHLNcdy6ES9tQCSJChW7hg8fjs2bN0Ov12P48OFl7rt+/XqrBCa1wub019mcnsghNAqteHN6/9o1UatZExj0epzdtc/WoRGRhQr7dR05chm5ufll7iuTyRBaMLOLzemJnNPAwR0BANezVLiwj/26iMi2Fq6YA183GVJzBWb930dSh0MSqVCx659//kFISAhu376Nf/75p9T9hBBQKis1WczhFPbrusHm9EQOIbSg2FWRZYytHzDN6rp29CRy0jNsGhcRWc6Sfl0hjRvBO8Af+Tk5vDsykROqVSsATZvUglEAh4/fQMbtJKlDIiIXVi+0DsYMN/2c8cnibcjOZPuDqqpClSmFQlHi312Vyk2Dmk0aA+CdGIkcgUwmQ6NGIQAqNrOrdb8+AIDIHbttGRYRVZIl/bqadu8CALh69AQM+vLv2khEjqVwCWNCrhLHdx6QNhgicnlLVs2GRgnEpOjx4ewvpQ6HJCS39ICnn34aarW62HaVSoWnn37aKkFJrXaLZlColEhPvI20+ASpwyGq8mrW9Ie7uwY6nR43btwuc1/vwADUa2v6NOcMi11EDqdWrQA0alQDBoMBBw6cL3f/xt0K+nVFsF8XkTPqP6A9gIIljHtZ7CIi2+ncqz0Gda8DAJg990cYjeXfwZ1cl8XFrpUrV8LX17fYdm9vb6xcudIqQUmN/bqIHEujRqYljFFRCTAYyn7TatW3F+RyOa6fOoP0hLILY0Rkfz17mmZ1nThxDZmZuWXuq1Sr0bBjOwDAZTanJ3I6MpkMAwaa+nVdStTxZ2sisqkl374MhQw4fT0Lvyz7S+pwSGIWF7tkMhmEEMW2165dG+np6VYJSmqFs0KucwkjkUNo2NCCJYxhvQBwCSORo+ptQb+uem1bQe3uhozbSYi/cs3WoRGRlbVt2wAB/l7QGoBd247BaDBIHRIRuaiHnh6Czk38YBTA9OeWSB0OOYAKd5M/fvw4hBAQQmD79u3Q39U3Q6FQoEGDBtiyZYtNgrS3+oXFrtMsdhE5goYNgwEAV8tpTu/u443QLqa7tkVuZ7GLyBH1tKBfV5PCJYyc1UXklAr7dcVmq3BmN5cwEpHtfPzJRADArhMJ2L15v8TRkCOocLGr8C6M7dq1w9atW5GVlWV+TKvVIjo6Gn/++afVA7Q3v5Bg+AQFwqDTI/bcBanDISIADRtV7E6MzXvdB4VKiVuXryLpeow9QiMiCwQF+aJFi7oAgH37zpW7f5OC5vSXDx61aVxEZBuDhpgK1tez1LiwP0LiaIjIVb3w5kQ0qq6BzgBMm/Ch1OGQg6jwMsb58+fjf//7HyZMmICFCxdi/vz55vHBBx/g119/hU6nq1QQU6dORVRUFHJzc3Hw4EF07ty51H2feeYZ7NmzBykpKUhJScG///5b5v6WKpzVdfPSZejy8q12XiJXIUW+Fs7sKm8ZY+uwPgA4q4uokCO9vwJAjx4tAACRkdFIScksc193H2/UbtkMAGd2UdXgaPl6r9zc1LjvPlMOHzoZg6zkVIkjIrIeV8tXZ6Z2U+ON10YAANb8ewkXT1+WOCJyFBb17DIajfj666/h5uZmtQBGjx6NhQsX4p133kGHDh1w6tQpbN26FUFBQSXu36dPH6xevRp9+/ZF9+7dERMTg23btqFmzZpWiaduWzanJyqNVPla2LOrrJldKjcNmt3fDQBwhsUuIod7fwUs69cV2qUj5HI54q9GISORN5sg1+aI+XqvevZsCY1aiUydHLs37ZM6HCKrccV8dWbvLp6JIC85srXA9AnvSx0OORhhyThy5Ih44IEHLDqmrHHw4EGxePFi89cymUzExsaKWbNmVeh4uVwu0tPTxdNPP12h/b29vYUQQnh7e5f4+As/fSM+jYwQHYYNtNpr5OBw1FFePvx3SJWvRrFZ5Gv/FgqFvNR9Wz3QW3waGSHmbP5T8uvKwWGL4Sz5WlZ8x45/LoxivXj00R7lnm/kG6+KTyMjxIhZMyS/9hwclg5Hz9fKxGjp+PiTicIo1ovIlG2iXttWkv+bcHCUNSzJB1fMV2cdAdX9RUb+emEU68UnK+ZKHg+HfUZF88HiuzG+8cYb+OSTTzB06FCEhITA29u7yLCESqVCx44dER4ebt4mhEB4eDi6d+9eoXN4eHhApVIhJSWlxMfVanWFY1SoVKjdvCkA4PpJNqcnupvU+RodnQiDwVjquVv36w0AiNy+q0KxELkyqfO1JL6+nmjbtgEAYO/e8md2NS5oTs9+XeTq7JGvgOU5e68GDzPNtr6UqMeNyPJ79BE5A1fNV2e16Ps58FIDSVlGzJn2sdThkIOxuNi1adMmtG3bFuvWrUNsbCxSU1ORmpqKtLQ0pKamWnSuwMBAKJVKJCQkFNmekJCAkJCQCp3jww8/xM2bN4v8h3O32bNnIyMjwzzi4uJKPVet5k2gVKuRlZKK5NjS9yOqiqTO17KWMCqUSrTofT8ALmEkAqTP15Lcf39zyOVyXLoUh/j4sn9eqFYzBEH16sCg1+Pq0eMVipfIWdkjXwHLc/ZeVK/uhxZNTTeXCd92HMJY+odVRM7EFfPVWTVpFYpRA0wTVd7/ZD20eVqJIyJHU+G7MRbq27evLeKolFmzZuHxxx9Hnz59kJ9fcjP5BQsWYOHCheavvb29S/3Pol4b9usispV7zdcrZTSnb9S5Azx8fJCRlIzoU5yVSXSvrP3+CljWr6tJwayuG6fPIj87x5LQiaqciuQrYHnO3ot+/doCABJzFTi0ba9NnoPIGTlivjqrpd/PgloBXEvU4vN3lksdDjkgi4tde/bssdqTJyUlQa/XIzg4uMj24OBgxMfHl3nszJkz8frrr6Nfv36IjIwsdT+tVguttmJV3nptWgIArvOXZaJipM7XsmZ2te7XBwBwdudefnpMBOnztSQ9e5neY3fvLv89tkn3LgB4F0aqGuyRr4DlOXsvhgw3LWG8nqnCxf2H7PKcRPbgivnqjHoO6o6+HUwz6V579TuJoyFHZfEyRgDw9fXFyy+/jG+//RbffvstZsyYAR8fH4vPo9PpcOzYMYSFhZm3yWQyhIWFISIiotTjXn31Vbz55psYNGgQjh07VpmXUKJ65jsxsthF9F9S5+vlUmZ2yeRytHqgFwAgMnxXpc9P5Eqkztf/8vR0Q8eOoQCAPXvKfo+VyWRo3LUTAOBSBItd5PocLV+toX//9gCAI5E3kZ2aJm0wRFbkivnqjL748kXIZcDRy+n464eNUodDDsyizvcdO3YUSUlJIiYmRvz555/izz//FDdu3BC3b98W7du3t7iT/ujRo0Vubq4YO3asaNasmVi2bJlISUkR1atXFwDEqlWrxPvvv2/e/7XXXhN5eXnikUceEcHBwebh6el5T537fYICxaeREeLjU/uFxsND8jsMcHDYY1h6Zxep8tUoNovQ0Bol7lO/XRvxaWSE+N/+bUKhVEp+TTk4bDWcJV9Lii8srK0wivUiKnpFueep1ayJ+DQyQrx3MFzIlQrJrzsHR2WGo+drZWKs6GjevI4wivVCa1gvhr3wjOT/FhwcFRmW5IMr5aszjieefVgYxXqhM64XXfp0lDweDvsPC/LBshPv2bNHfPfdd0KhuPMDqEKhECtXrhS7d++uVLDTpk0T0dHRIi8vTxw8eFB06dLF/NjOnTvFypUrzV9HRUWJkrz99tv3dGFaPdBbfBoZIWb++aPk/3gcHPYalXnjlCJftboNQlnKL73DZ74gPo2MEE8uqNg5OTicdThLvpYU3/z5Y4RRrBerfni53PP0nTBGfBoZISYu/ljya87BUdnh6Pla2RgrMma89JCpuJ25RdRp2VzyfwsOjooMS/PBVfLV2YZcLhfRSX8Jo1gvNkYskzweDmmGzYpdOTk5omnTpsW2N2/eXGRnZ0v+wit7YYa9NE18GhkhRr01S/IYOTjsNRz9jbMwvitXvit1nzmb14hPIyNE67DeksfLwWHL4Sz5WlJ8O3ctEEaxXkyaNKDc8zz79efi08gI0ePJRyV/TRwclR2Onq+2jHHH3k+FUawXW69sEDKZTPLXycFRkeHoOevo8dlrvP7BNGEU60Wubr2o36Su5PFwSDMqmg8W9+zKyMhA3bp1i22vU6cOMjMzLT2dw6jbtqA5Pft1ETmc33/fV+L2Gk1CEVC7FnR5+bh4gA1wiRyRRqNC165NAJTfr0upVqNhh3YAgMtsTk/kdFQqJbp2bggA2LkzEkIIiSMiIlfh7umOV18YCAD4ZcMZRF+6IXFE5OgsLnb99ttvWLFiBUaPHo3atWujdu3aeOyxx7B8+XKsXr3aFjHanFypQJ0WzQHwToxEjmjBgj9K3N6m4C6MF/YfhDY3z44REVFFde7cGG5uasTHp5Z6o4lCDdq3gcpNg/SE20i4Fm2fAInIarp3bwZ3jRI5ehm2/rVd6nCIyIV8+PUsVPOQISNP4KWJ70sdDjkBpaUHvPLKKxBC4IcffoBSaTpcp9Phq6++wuuvv271AO2hZpNQqN3dkJORgdvRrBATOYvWBcWuyO27pQ2EiErVu7fpTsd79pwtd9/G3ToDAC5xVheRUxr28P0AgOuZKlzYf1jiaIjIVdSoG4JJozsCABav2IOMVOddUUb2Y3GxS6fTYcaMGZg9ezYaNWoEALh69Spyc3OtHpy91Gtj+kH8xulznG5N5CQC69ZGjcaNYNDpcW73fqnDIaJS9OxVUOzaHVnuvk26m4pdXMJI5JwGD+0CADh2LgG5GRkSR0NErmLxytlwVwHxGQbMm/G51OGQk7C42FUoNzcXaWlp5r87s7pt2K+LyNm0DusNALh69Dh/oCZyUEqlAvfd1wxA+TO7PHx9UKt5UwCc2UXkjKpV80Lz0CAAwIa1/BCKiKyjdacWeLCPqRfgvP+tgUGvlzgichYW9+xSKBSYP38+0tLSEB0djejoaKSlpeHdd981L2t0NvXbtgbAfl1EzqRVQbHrdPguaQMholK1b98QXl7uSEnJxNmzZbcJCO3aCXK5HLcuX0VmUrKdIiQia+k3oAPkMhmS8xTYv36n1OEQkYtYuvJVKOXAhbhcfPPxT1KHQ07E4urU4sWL8cgjj+C1115DREQEAKB79+6YN28eAgICMHXqVKsHaUue1fwQWLc2AODGmXMSR0NEFeFTPQj127aG0WjEmR17pA6HiEpR2K9r796z5bYJaNKtcAnjUZvHRUTW9/DjDwAArtw2IO7CJYmjISJXMODhvujRKhAAMHPGMomjIWdjcbHrySefxOOPP44tW7aYt0VGRiImJgarV692umJX3damJYwJ16KRm8FGd0TOoPUDvQAAN06f5QwQIgd2p19X2TOnvQMD0Kogry9FsKk1kTPq26sFAGD3vgsSR0JEruLzxc8BAA6cTcbmNTskjoacjcXLGPPz8xEdHV1se1RUFLRarTVisqv6bU0/iHMJI5HzKFzCGMkljEQOSy6Xo2dP0y+/ZfXrUmo0mLDoQ3gH+CMx6jouH+LMLiJn06hRDQT7u8NgBP7+NVzqcIjIBUx6+Uk0q+UOvRGYOvFjqcMhJ2RxsWvJkiV48803oVarzdvUajXmzp2LJUuWWDU4eyi8EyOb0xM5Bw9fHzTq1B4AELl9t8TREFFpWrWqCz8/L2Rm5uDkyWul7vf4u3NRr01LZKelY/m0V6B3wg/OiKq6h0abPoS6maPAqZ1sTk9E90ahVGL+W6MBAOv3ROP04bJvckNUEouXMbZv3x5hYWGIjY3FqVOnAABt27aFWq3G9u3b8eeff5r3HTlypPUitQGZXI46rZsDYLGLyFm06N0DCqUSNy9eRnJsnNThEFEpevc23fxl//7zMBiMJe4z4LlJaD+4Pww6PVa9NBvJMbH2DJGIrGTYQz0AACcvpSAvM0viaIjI2b218EXU8FUgVw+8MP59qcMhJ2VxsSstLa1IQQsAYmJirBaQPYWENoCbpyfysrMRfyVK6nCIqAJa9ytYwshZXUQOrWcvU0/M0vp1tRvUDwOnPgMAWPPuR7h69ITdYiMi61Eo5Ojc1nSzp62bj0gcDRE5O59q3nhxch8AwMo/juPm9VvSBkROy+Ji18SJE20RhyQKlzDGRJ6HMJb8qTMROQ61uzuadu8KAIjcvkvaYIioTL0Ki10l9Ouq27oFHv/fGwCAXd//gsN/r7drbERkPV3vawEPjQJ5BhnW/rRR6nCIyMktXDEHvm4ypOYKzPq/j6QOh5yYxcWuQoGBgWjatCkA4OLFi0hKSrJaUPbCfl1EzqVZj25QuWmQdCMWty5dlTocIipF06a1Ub26H3Jz83H06OUij/mFBGPCFx9BpdHg7K592PDZUomiJCJreGzsIADA1WQj4i5ckTgaInJm9ULrYMxw0+/onyzehuzMbIkjImdmcYN6Dw8PrFixArdu3cKePXuwZ88e3Lx5E8uXL4e7u7stYrSZum1MnzpH806MRE6hdb8+ALiEkcjR9e5t+kH14MGL0Gr15u1qd3dMXPwRfAIDcPPiZfw8623OrCZycmFhbQEABw7xQygiujdLVs2GRgnEpOjx4ewvpQ6HnJzFxa6FCxeid+/eGD58OPz8/ODn54cRI0agd+/e+PTTT20Ro024+3gjpFEDAMCNSN7dgcjRKVQqNO95HwAuYSRydCX165LJ5Rjz4TzUatYEmckp+O6F15CfkyNViERkBV5e7mhazxcA8NdvOyWOhoicWede7TGoex0AwNw3foaRH4bRPbK42DVy5EhMmjQJW7ZsQWZmJjIzM7F582ZMnjwZo0aNskWMNlG7uWkJZtKNWGSnpkkbDBGVq3HXjnD39kJ64m3cOM0CNZEjK5zZdXe/rqHTn0Orvr2gy8/Hdy++htRb8VKFR0RW8uCjfaCQy5CaL8euf8KlDoeInNiSb1+GQgacvp6Fn75aI3U45AIqtYwxISGh2PbExER4eHhYJSh7qNuqOQAg+lSkxJEQUUW0CjPdhfHMjj0QQkgcDRGVpl696qhdOxA6nR4HD14EAHR+aCj6TnwKAPDbm++xYE3kIh5+7AEAQOS1NORnc6YmEVXOQ08PQecmfjAKYPpzS6QOh1yExcWuiIgIvPPOO9BoNOZtbm5uePvttxEREWHV4GypTivTEgv+wE3k+GRyOVr17QUAOLOD/bqIHNn997cAABw5chm5uflo2Kk9Rr01CwCw7asVOLH5XynDIyIrur9LQwDA9vBTEkdCRM7s408mAgB2n0zE7s37JY6GXIXFd2OcMWMGtmzZgtjYWJw6ZXpja9u2LfLy8jBw4ECrB2grtVuZljHyToxEjq9em5bwDvBHTkYGrhw5LnU4RFSG++9vBsDUryugdi2M/2wBlCoVTm4Jx7avVkgcHRFZS4PQmgippoZRAL+uWC91OETkpF54cyIaVddAZwCmjv9A6nDIhVhc7Dpz5gwaN26MMWPGoFkz0w+0q1evxs8//4y8vDyrB2grHt4+yMrOxs1LvEUykaNr0acHAODszn0w6g0SR0NEZbnvPlObgINHr2LS0k/g6eeLG5HnsPqN/3EJMpELeWLSgwCAuHQjLp86L3E0ROSM1G5qvPHaCADAn+GXcPH0ZYkjIldiUbFLqVTiwoULGDZsGJYvX26rmOwm5tx5/uJM5ARa9jYVu7iEkcjxNWxUAwZDPuoPG43ghvWRFp+A7158Dfr8fKlDIyIrGjSkMwDg0IkYiSMhImf17uKZCPKSI1sLvDj+fanDIRdjUc8uvV4PNzc3qwcxdepUREVFITc3FwcPHkTnzp3L3H/UqFE4f/48cnNzcfr0aQwePLhSz3vjFPt1EVlKinytViME+Tm5uHjgUGXDJqqSpHp/jY7PQb3OXZCfk4vvXngNmUnJlToPUVUiVb5WhkwmQ/tmQQCAdX/ts9vzEjkKZ8pXRxVQ3R/Pjb0PAPD1TweRFM+fFcj6hCVj9uzZYuXKlUKhUFh0XGlj9OjRIi8vT4wfP140b95cfP311yIlJUUEBQWVuH/37t2FTqcTr7zyimjWrJmYP3++yM/PFy1btqzQ83l7ewshhFh89rBo9UBvq7wGDg5nHYX54O3tXaH9pczXcQvfl/x6cXBIOZwlX41iszhy+1/x8an9otUDvSS/bhwcUgxHz9fKxHj3CBt2vzCK9SJPv154eHtKfr05OO51WJIPzpavjjp+2vSJMIr1IjFzrVC7qSWPh8N5RkXzQVbwlwr766+/EBYWhqysLERGRiI7O7vI4yNHjrTkdDh48CCOHDmCF154AYDpk6KYmBgsXrwYH374YbH9f/31V3h6emL48OHmbRERETh58iSee+65cp/P29sbGRkZWHLuCOb2GYKM20kWxUvkSgrzwcfHB5mZmeXuL2W+rnztDRzfuM2CV0fkWpwlXwW2YN11dyyavxw7v/vJgldI5DocPV/vjrF917bIys6q4CszefODKXh6WHOcvp6NdvUft+hYIkdkSc46W746ohp1gvHvhjlQK4CX563F5+84f4sksp+K5qvFDerT0tLw559/3lNwhVQqFTp27IgFCxaYtwkhEB4eju7du5d4TPfu3bFw4cIi27Zu3YqHHnqoxP3VajU0Go35a29vbwBAdmISRF6++WuiqsiS738p81VhEIg5Ecl8pSrNWfIVUGD7+gM4+sda5ixVWY6Wr0DpOXv80CcAKtfD9kDENeY5uYSKfh87c746ougkLVYs/I3/j5BFKvr9YnGxa+LEiRYHU5rAwEAolUokJCQU2Z6QkGC+0+N/hYSElLh/SEhIifvPnj0b8+bNK7Z9Vp/BmJWRUbnAiVyMt7d3uZ9iSZmvz7XugufibpYZH1FV4ej5KkN/fPF8f3zx/OwyYySqChwlX4Gyc7aynnt8EJ57nLlOrqO8nHXmfHVEDQKBDP5OTpVUXr5WuNglk8nw6quv4sEHH4Rarcb27dvxzjvvIC8vzyqB2sqCBQuKVNK9vb0RFxeHWrVqVWhaOVUcr61t2er6ent74+ZNxygkMV/th9fWtpiv/J6yNl5f26kK+QowZ+2J19Z2bHltHSlnma/2w2trO1Lna4WLXXPnzsW8efMQHh6O3NxcTJ8+HdWrV8ekSZMqHWBSUhL0ej2Cg4OLbA8ODkZ8fHyJx8THx1u0v1arhVarLbY9MzOT38w2wmtrW9a+vhU9F/PVNfHa2hbzlayN19d2XDlfAeasFHhtbccW17Yi52O+ui5eW9uRKl/lFT3Z2LFjMXXqVAwaNAgPP/wwhg8fjjFjxkAmk1U6QJ1Oh2PHjiEsLMy8TSaTISwsDBERESUeExERUWR/AOjfv3+p+xORdTBfiZwH85XIeTBfiZwH85XIuVTo9o55eXmidu3aRbbl5uaKWrVq3dNtI0ePHi1yc3PF2LFjRbNmzcSyZctESkqKqF69ugAgVq1aJd5//33z/t27dxdarVa8/PLLomnTpuLtt9+u1K3RXem2rY4yeG1d//oyX11n8Nq6/vVlvrrW4PV17Wtr73x1lNftqoPX1rWvLfPVtQavrUtf24rtqNfrRWBgYJFtGRkZon79+vccxLRp00R0dLTIy8sTBw8eFF26dDE/tnPnTrFy5coi+48aNUpcuHBB5OXlicjISDF48OAKP5darRZvv/22UKvVkv/ju9rgta0a15f56hqD17ZqXF/mq+sMXl/Xv7b2zFdHet2uOHhtXf/aMl9dZ/Dauu61lRX8pVwGgwGbN29Gfn6+edvw4cOxY8cOZGdnm7eNHDmyIqcjIiIiIiIiIiKyugo3qF+1alWxbT/99JNVgyEiIiIiIiIiIroXFZ7ZRURERERERERE5OgqfDdGIiIiIiIiIiIiR8diFxERERERERERuYwqV+yaOnUqoqKikJubi4MHD6Jz585Sh+TQXn/9dRw+fBgZGRlISEjA33//jSZNmhTZR6PRYMmSJUhKSkJmZibWrFmD6tWrF9mnTp062LBhA7Kzs5GQkICPPvoICoXCni/F4c2aNQtCCHz22WfmbVX92jJfLcN8tR/ma3HMV8swX+2H+Voc89VyzFn7YL4Wx3y1HPPVPpwhXyW/JaW9xujRo0VeXp4YP368aN68ufj6669FSkqKCAoKkjw2Rx2bN28W48aNEy1atBBt2rQRGzZsENHR0cLDw8O8z5dffimuX78u+vbtKzp06CAOHDgg9u3bZ35cLpeL06dPi23btom2bduKQYMGicTERPHee+9J/vocZXTq1Elcu3ZNnDx5Unz22We8tmC+VmYwX+0zmK/FB/PV8sF8tc9gvhYfzNfKDeas7QfztfhgvlZuMF9tP5wkX6W/UPYaBw8eFIsXLzZ/LZPJRGxsrJg1a5bksTnLCAwMFEII0bNnTwFA+Pj4iPz8fDFy5EjzPk2bNhVCCNG1a1cBQAwaNEjo9XpRvXp18z7/93//J9LS0oRKpZL8NUk9PD09xcWLF0VYWJjYuXOn+T+Lqn5tma/3Ppiv1h/M15IH8/XeB/PV+oP5WvJgvlpnMGetO5ivJQ/mq3UG89W6w1nytcosY1SpVOjYsSPCw8PN24QQCA8PR/fu3SWMzLn4+voCAFJSUgAAHTt2hFqtLnJdL168iOvXr5uva/fu3REZGYnExETzPlu3boWvry9atmxpx+gd09KlS7Fx40Zs3769yPaqfG2Zr9bBfLU+5mtxzFfrYL5aH/O1OOar9TBnrYv5Whzz1XqYr9blLPmqtOrZHFhgYCCUSiUSEhKKbE9ISECzZs0kisq5yGQyfP7559i3bx/Onj0LAAgJCUF+fj7S09OL7JuQkICQkBDzPiVd98LHqrLHHnsMHTp0KHHtfVW+tszXe8d8tT7ma8mYr/eO+Wp9zNeSMV+tgzlrXczXkjFfrYP5al3OlK9VpthF927p0qVo1aoVevToIXUoLqF27dpYtGgR+vfvj/z8fKnDIRfDfLUu5ivZEvPVupivZGvMWethvpKtMV+tx9nytcosY0xKSoJer0dwcHCR7cHBwYiPj5coKuexePFiDBs2DH379kVcXJx5e3x8PDQajXlqaKG7r2t8fHyJ173wsaqqY8eOCA4OxvHjx6HT6aDT6dCnTx+8+OKL0Ol0SEhIqLLXlvl6b5iv1sd8LR3z9d4wX62P+Vo65uu9Y85aF/O1dMzXe8d8tS5nzFfJG5zZaxw8eFB88cUX5q9lMpmIiYlhg79yxuLFi0VsbKwIDQ0t9lhhE7pHHnnEvK1JkyYlNqG7+64hkydPFmlpaUKtVkv++qQaXl5eomXLlkXG4cOHxQ8//CBatmxZ5a8t87Vyg/lqm8F8LXswXys3mK+2GczXsgfztfKDOWv9wXwtezBfKz+Yr9YfTpiv0l80e43Ro0eL3NxcMXbsWNGsWTOxbNkykZKSUuROABxFx9KlS0Vqaqro1auXCA4ONg83NzfzPl9++aWIjo4Wffr0ER06dBD79+8X+/fvNz9eeHvRLVu2iDZt2ogBAwaIhIQE3ra1hHH33Syq+rVlvlo+mK/2HczXO4P5avlgvtp3MF/vDOZr5QZz1n6D+XpnMF8rN5iv9hsOnq/SXyB7jmnTpono6GiRl5cnDh48KLp06SJ5TI48SjNu3DjzPhqNRixZskQkJyeLrKws8eeff4rg4OAi56lbt67YuHGjyM7OFomJieLjjz8WCoVC8tfnaOO//1lU9WvLfLVsMF/tO5ivRQfz1bLBfLXvYL4WHcxXywdz1n6D+Vp0MF8tH8xX+w1HzldZwV+IiIiIiIiIiIicXpVpUE9ERERERERERK6PxS4iIiIiIiIiInIZLHYREREREREREZHLYLGLiIiIiIiIiIhcBotdRERERERERETkMljsIiIiIiIiIiIil8FiFxERERERERERuQwWu4iIiIiIiIiIyGWw2EVERERERERERC6DxS4iIiIiIiIiInIZLHYREREREREREZHLYLHrHvXu3RtCCIwcOVLqUIioHMxXIufBfCVyHsxXIufBfKWqgsWuEgghKjR69+4tdagV5unpiXnz5mHz5s1ITk6GEALjxo2r8PHjxo0r9ToEBwfbMHL78PX1xddff43ExERkZWVhx44daN++fYWPb9asGTZv3ozMzEwkJyfjhx9+QGBgYLH9ZDIZXn31VVy7dg25ubk4deoUHn/8cbud0xUxX4tjvpZNyny925NPPgkhBDIzMyscu7NjvhbHfC2bLd8LlUolzp49CyEEZs6cWezxOXPmYO3atYiPj4cQAm+//XaF43YFzNfimK9lq0i+1qhRAz/++CMuXLiAjIwMpKam4tChQxg7dmyJ5wwLC8OOHTtw+/Zt875PPfVUsf18fHzw4Ycf4tKlS8jJyUF0dDSWL1+OOnXqWHYRnBTztTjma+meeeYZ7Nq1C/Hx8cjLy8O1a9fw3XffoV69eiXuX716dSxbtgyxsbHIzc1FVFQUli9fXmSfqKioUq/3pUuXip3vu+++Q0JCAnJycnDs2DGMGjWqcheiDEqrn9EF/Pc/0LFjx2LAgAHFtp8/fx7Nmze3Z2iVFhgYiLfffhvXr1/HqVOn0Ldv30qd580330RUVFSRbWlpaVaIUDoymQwbN25E27Zt8fHHHyMpKQlTp07Frl270LFjR1y5cqXM42vVqoU9e/YgPT0dc+bMgZeXF1555RW0bt0aXbp0gU6nM+/73nvvYfbs2fjmm29w5MgRjBgxAqtXr4YQAr/99ptNz+mqmK+lY74WJ3W+FvL09MRHH32ErKws610cJ8B8LR3ztThbvxe+8MILqFu3bqnP/9577+HWrVs4ceIEBg0aVLmL4MSYr6VjvhZX0XwNDAxE7dq1sWbNGty4cQMqlQr9+/fHqlWr0LRpU8ydO9d8zuHDh+Off/5BREQE5s2bByEERo8ejR9//BGBgYH4/PPPzbH/+++/aNGiBb788ktcunQJoaGhmDp1KgYOHIjmzZu7/Pst87V0zNfi2rdvj6ioKKxbtw6pqalo0KABJk+ejGHDhqFt27a4deuWed/atWtj//79AIBly5YhLi4ONWvWRJcuXYqcc8aMGfDy8iqyrV69enjvvfewbds28zZvb2/s27cPwcHBWLRoEeLj4zF69Gj88ccfePLJJ7F69ep7vTxFCI6yx+LFi4UQosTHevfuLYQQYuTIkZU6t7u7u11eg1qtFsHBwQKA6NixoxBCiHHjxlX4+HHjxgkhhOjYsaPk/x7WHo8++mixf8PAwECRkpIifv7553KPX7p0qcjOzhZ16tQxbwsLCxNCCDF58mTztpo1a4r8/HyxePHiIsfv3r1b3LhxQ8jlcpues6oM5ivztawhZb7ePRYsWCDOnz8vfvzxR5GZmSn5dZVqMF+Zr2UNW74XBgUFidTUVPHGG28IIYSYOXNmsX3q1asnAIiAgAAhhBBvv/225NdUysF8Zb6WNSrzXnj3WLduncjMzCySr1u3bhWxsbFCrVabtykUCnH58mVx8uRJ87bu3bsLIYSYOnVqkXOOHz9eCCHEQw89JPn1tfdgvjJfLR0dOnQQQggxa9asIts3btworl69Kvz9/S0+59y5c4UQQnTv3t287ZVXXhFCCNG3b1/zNplMJg4dOiRu3rwpVCqV1a4TlzFaiVwux5w5cxATE4Pc3FyEh4ejUaNGRfbZuXMnIiMj0aFDB+zevRvZ2dl4//337RKfVqtFQkKCVc7l5eUFubz0b52QkBA0bdoUSmX5EwdlMhlefPFFnD59Grm5uUhMTMTmzZvRsWNHq8RaEaNGjUJ8fDz++usv87akpCT8/vvvGDFiBNRqdZnHjxw5Ehs2bEBMTIx52/bt23Hx4kWMHj3avK3wXF9++WWR47/66ivUqVMH3bt3t+k56Q7m6x3MV/vla6HQ0FC89NJLePnll6HX6yv+4qso5usdzFfrvRd+8MEHuHjxIn766adSn//69evlvkYqivl6B/O17PfC/4qOjoaHh0eR5/Hx8UFqaiq0Wq15m8FgQFJSEnJzc4vsB6DYv23h7JS796U7mK93VLV8LUl0dDQAwM/Pz7ytadOmGDJkCD7++GOkpKRAo9FU6BoVevLJJ3Ht2jVERESYt/Xs2ROJiYnYuXOneZsQAr///jtq1Khh1aW2LHZZyeuvv46HH34Yn3zyCRYsWIBu3brh559/LrZfQEAANm/ejJMnT2LGjBlF/pH/S61WIyAgoELDXnbu3InMzEzk5ORg7dq1CA0NLbbPggULcOHCBdSqVavc861YsQKLFi1CTEwMZs2ahQ8++AB5eXno1q1bmce5u7tX6Lrcnaylad++PY4fPw7Thx93HD58GJ6enmjSpEmpx9asWRPBwcE4evRosccOHz5cZN10+/btkZWVhfPnzxfbr/BxW52TimK+3sF8vXO8rfO10Oeff46dO3di8+bNZbxSKsR8vYP5euf4e3kv7Ny5M8aNG4cZM2YUi43uDfP1DubrneNLei90c3NDQEAA6tWrh7Fjx2LChAmIiIhAXl6eeZ9du3ahVatWmD9/Pho1aoSGDRvijTfeQKdOnfDRRx+Z9zt69CiysrLw7rvvom/fvqhZsyZ69eqFjz76CIcPH0Z4eHi5r78qYr7eUZXy9W7+/v4ICgpCx44dsXLlSgCmInWhfv36ATAVksPDw5GXl4fc3Fxs2rSp1P5ehdq1a4cWLVrgl19+KbJdo9GUWIDOyckBAKsWDdmzy0rc3NzQrl0783r01NRUfPHFF2jZsiXOnj1r3q9GjRr4v//7P3zzzTflnvOJJ57A999/X6Hnl8lklYq7onJycrBy5Urs3LkTGRkZ6NixI15++WUcOHAAHTp0QGxsrMXn7NOnDyZMmIBFixZhxowZ5u0LFy4s99jXXnsN8+bNK3e/6OhoNGjQoMx9atSogT179hTbXvhpUM2aNXHmzJlSj7173/8eHxAQALVaDa1Wixo1apT46cTdz2Orc1JRzFfma0nH2zpfAWDIkCEYMGAA2rZtW+brpDuYr8zXko6/l/fCxYsX47fffsPBgwfL/WGdLMN8Zb6WdPx/3wsBYPr06fjggw/MX4eHh2PChAlFjn333XfRoEEDzJ07F2+++SYAIDs7GyNHjsS6devM+yUnJ+Oxxx7Dt99+ix07dpi3b9myBaNGjYLBYCjztVdVzNeqma93i4uLg5ubGwDTzLAXXnihSHG4cePGAGDuhzl69GjUrVsXb7/9NsLDw9GmTZtSZ06OGTMGAIoVUC9evIh+/fqhbt26uHHjhnl7z549AaBCBceKYrHLSlauXFmkUerevXsBAA0bNizyn0VeXp65alqerVu3mqupUvvjjz/wxx9/mL9eu3Yttm7dij179mDu3Ll47rnnzI9NmDCh2JtVSUaOHAmj0Yh33nnH4nh++OEH7Nu3r9z9KjJt2d3dHfn5+cW2F36y5O7uXuaxAMo9XqvVVvh5bHFOKor5ynwt63hb5atKpcJnn32GZcuWFZuBQqVjvjJfyzre0vfC8ePHo3Xr1ja56xMxX5mv5edrodWrV+Po0aMICgrCsGHDEBwcXOw58vPzcenSJaxZswZ//fUXFAoFnn32Wfz000/o378/Dh06ZN739u3bOHHiBJYsWYKzZ8+iXbt2eO2117By5coKLaOsipivVTNf7zZ48GC4ubmhefPmeOqpp+Dp6Vnk8cKG8/Hx8Rg6dKh5JllsbCx+/fVXPPnkk1ixYkWx88pkMjz++OM4fvw4Lly4UOSx5cuXY8qUKfj999/x0ksvISEhAaNHj8bDDz9sUewVwWKXldxdlQRMlXEAqFatWpHtcXFxJd6ZqyTx8fGIj4+3ToA2sH//fhw6dKjS/6E1atQIN2/eNF8rS0RFRRW7q0Zl5ebmQqPRFNteWOUu6z+cwscqcnxFn8cW56SimK+WY76Wvl9Fz/nSSy+Z7yxEFcd8tRzzteT9vL29sWDBAnz88ceV+kSfysd8tVxVy9dCN27cMH+//Prrr/j6668RHh6Opk2bmn9hX7JkCbp164YOHTqYf8n+/fffcfbsWSxatMi8bKxBgwbYuXMnxo4da+5htG7dOkRHR2PVqlUYNGgQtmzZUvGLUUUwXy3nCvl6t127dgEwzYJcu3Ytzpw5g6ysLCxdurTIeX7//fciSyb/+OMP/Pjjj7jvvvtKLHb17t0btWvXxmeffVbsscjISDz55JNYtmwZDhw4AMA0I23GjBlYtmyZVe+cymKXlZQ2Pfa/0zMtKT64ubnB19e3Qvtaq3mfpWJiYtC0aVO7P6+np2exW5uWpLCJZVlu3bplnn59t8JtN2/eLPPYu/f97/HJycnmT7Fu3bpV4i1z//s8tjgnFcV8tS/mqxY+Pj5444038OWXX8LHx8fcTNfLywsymQz16tVDTk4Obt++XfqLr6KYr/blyvn6yiuvQK1W47fffjMvX6xduzYA0y939erVw82bNyv8Sx0Vx3y1L2fM19KsWbMGzz77LHr16oVt27ZBpVJh0qRJ+Oijj4r8kq3X67F582Y8//zzUKlU0Ol0GD9+PNzc3LBhw4Yi5yxc6nj//fez2FUC5qt9OUq+lubatWs4ceIExowZYy52FZ7nv/9WRqMRycnJxQqjhcaMGQODwYDVq1eX+Piff/6JdevWoW3btlAoFDh+/Dj69OkDALh06ZLFsZeGxS4H9thjjznMmufSNGzYsNK/nF29ehUDBw5EtWrVLK6Ov/LKK1Zb83zy5En07NkTMpmsyJtp165dkZ2dXWbC3bx5E4mJiejUqVOxx7p06YKTJ08WeZ7JkyejefPmRZYwde3a1fy4rc5Jtsd8LR3z1fSLtLe3N2bNmoVZs2aV+Nr/+ecf8xRusi3ma+lcOV/r1q0Lf39/nDt3rtg5586di7lz56Jdu3Y4depUma+L7Iv5WjpnzNfSFC5dKiyUBAQEQKVSQaFQFNu3cLtCoYBOp0NwcDBkMlmxfVUqFQBYdPc4ujfM19I5Sr6Wxd3dvciMsWPHjgEo3kdLpVIhMDCwxOuoVqsxcuRI7Nq1q8Q+foV0Ol2Rm1oUzraz5g0lmPkOTKo1zyEhIfD19cXVq1eh1+sBAIGBgcUqzIMHD0anTp2waNGiSj3Pn3/+ieeffx5vv/12kQZ/FWHNNc9r1qzBo48+ikceeQR//vknANMb7KOPPor169cX+SSqYcOGAEyV77tfx7hx41C7dm3zsogHHngATZs2LTJ1c+3atfjss88wdepUvPDCC+btU6ZMQWxsrHkap63OSbbFfC0d8xVITEzEQw89VOz1vPjii+jevTueeOKJMn8gIOtivpbOlfP1iy++wD///FMkxurVq+Obb77BypUrsXbtWqstMSHrYb6WzhnztaRrCACTJk2C0WjE8ePHAZjeN1NTU/Hwww/jrbfeMs+49PT0xPDhw3H+/HnzcsdLly5BLpdj9OjRWLVqlfmcTzzxBADgxIkT5b5+sg7ma+kcJV8VCgW8vb2RlpZW5JydO3dG69ati9w9cdeuXUhISMCYMWPw/vvvm/uEjR8/HkqlEv/++2+x2IYMGYJq1aqVeGfP0oSGhmLKlClYv349Ll++XOHjKkJwlD0WL14shKlkWmz07t1bCCHEyJEji2yvV6+eEEKIcePGmbft3LlTREZGSvY6pk2bJubOnSuWLl0qhBBizZo1Yu7cuWLu3LnCx8fHvN/KlSuFEELUq1fPvO3SpUvit99+E6+++qp49tlnxbJly4RWqxXXr18X1atXL/I8JR1f2li1apUQQoiNGzeKF154QUyfPl2sWbNGTJs2zW7XRS6XiwMHDoiMjAzx5ptviueee05ERkaK9PR00aRJkyL7RkVFiaioqCLbateuLW7fvi0uX74snn/+efH666+L5ORkcerUKaFWq4vs++GHHwohhFi2bJmYNGmSWL9+vRBCiCeeeMLm56wqg/nKfC0cjpiv/x0rV64UmZmZkn2fST2Yr8zXwmGvfP3vKPx+mjlzZrHHnnrqKTF37lzx3nvvCSGE2L59u/nftW7dupJ9v0k1mK/M18JxL/n62WeficOHD4v58+eLZ555Rrz22mvi0KFDQgghFi1aVOScc+bMEUIIcezYMTF9+nTx8ssvi7NnzwohhHjyySfN+/n7+4ubN2+KvLw88fnnn4vJkyeLr776Suh0OhEZGSlUKpXk+WPvwXxlvhaO/+arr6+vyMzMFMuXLxcvvfSSePbZZ8XixYtFVlaWSEpKEqGhoUWOf/rpp4UQQhw6dEg8//zz4qOPPhL5+fli9+7dQi6XF4vtjz/+ELm5uUX+ff47zp49K+bNmycmTpwo3n33XZGUlCSioqJEzZo1rX2tpPnGdabhKv9ZREVFidLcndglJfu7774rjh8/LlJTU0V+fr6Ijo4WS5cuLfYfBWD6Bs/Ozha+vr7lxiSXy8XMmTPFuXPnRF5enkhISBAbN24U7du3t+u18fPzE99++624ffu2yMrKEjt37hQdO3Ys8Rr+980dgGjRooXYsmWLyMrKEikpKeLHH38s8drIZDLx+uuvi6ioKJGXlyciIyOLvFnb+pxVYTBfma93X0NHy9f/Dha7mK/M1zvX0F75WtL3U0nFrp07d5b679q7d2/Jvt+kGsxX5uvd17Cy+dqvXz+xbt06ERsbK/Lz80V6errYu3dvke+Ru8cTTzwhDh48KFJSUkR2draIiIgQjzzySLH9atasKZYvXy6uXr0q8vLyRFxcnPj6669FQECAZN9rUg7mK/P17mt4d76qVCrx2WefiZMnT4q0tDSRn58voqKixLfffltqse+xxx4TJ06cELm5ueLWrVviiy++EF5eXsX28/b2Fjk5OWLNmjVlxv7LL7+I69evi7y8PBEbGyu+/PJLERQUZIvrJM03Lofrjvj4ePHRRx9JHgcHB0f5g/nKweE8g/nKweE8g/nKweE8g/nqmkNW8Bciq2jRogUiIiLQsGFDJCcnSx0OEZWB+UrkPJivRM6D+UrkPJivrovFLiIiIiIiIiIichlyqQMgIiIiIiIiIiKyFha7iIiIiIiIiIjIZbDYRURERERERERELkMpdQBSqFmzJjIzM6UOg8gheHt74+bNm1KHUSrmK9EdzFci5+Ho+QowZ4nu5ug5y3wluqMi+Vrlil01a9ZEXFyc1GEQOZRatWo55Js785WoOOYrkfNw1HwFmLNEJXHUnGW+EhVXXr5WuWJXYTW8Vq1arIxTleft7Y24uDiHzYXCuD799FNotVqJoyGSllqtxsyZMx0+X/n+SuT4768Ac5bobo6es8xXojsqmq9VrthVKDMzk/9REDkJrVbLYheRk+D7K5FzYc4SOQ/mK1HFsUE9ERERERERERG5DBa7iIiIiIiIiIjIZbDYRURERERERERELoPFLiIiIiIiIiIichksdhERERERERERkctgsYuIiIiIiIiIiFwGi11EREREREREROQyWOwiIiIiIiIiIiKXwWIXERERERERERG5DBa7iIiIiIiIiIjIZUha7OrZsyfWrVuHuLg4CCEwYsSIco/p3bs3jh07hry8PFy+fBnjxo2zQ6RExHwlch7MVyLnwXwlch7MVyLnIWmxy9PTE6dOncK0adMqtH/9+vWxceNG7Ny5E+3atcPnn3+O5cuXY8CAATaOlIiYr0TOg/lK5DyYr0TOg/lK5DyUUj75li1bsGXLlgrvP2XKFERFReGVV14BAFy4cAE9evTASy+9hG3bttkqTCIC85XImTBfiexDpVLCz88Tfn6e8PX1RGpqFq5evWXROZivZKnqNQPRuWd7qcNwercTUnB41zGLjmG+EjkPSYtdlurevTvCw8OLbNu6dSs+//zzUo9Rq9XQaDTmr729vW0VHhHdhflK5DyYr1RVubtrzMWqwoJViX//z9eFj3t4aIqcb9lXmzB16lc2jbky+QowZ12F2k2Nc5dXwN+DrZfv1amoLLRv+IRNn4P5SiQdpyp2hYSEICEhoci2hIQE+Pr6ws3NDXl5ecWOmT17NubNm2enCImoEPOVyHkwX8kZyWQyeHu7l1iEMn9dzQt+fl7wq+aFatW84OvrAV9fT9OfPh5QqRRWiSU7V4fsPD3cA6tb5XxlqUy+AsxZV/F/M5+Ev4cceiOQmS+kDseppaTl2Pw5mK9E0nGqYldlLFiwAAsXLjR/7e3tjbi4OAkjIqLSMF+JnAfztWpQKJVQqJSQK5VQqlSQK5VQKBUF21WmPwuH6s6+xR9XFPlarlRCrVHB29sNPt7u8PHSwMvLDd6eGnh7qOHhoYK3hxqe7kp4uqvgoVHAw00JD40cHmoF3NQyuKlkkMtk9/wajQLIN8iQb5SZ/jTIi32tLfh73n++zjfIoDXKIGCK49C5E/ccj60wZ13DpEn9AQD/7IrG6LAXJI6GbIX5SnRHUJAvbt9Ot/g4pyp2xcfHIzg4uMi24OBgpKenl1oV12q10Gq19giPiO7CfCVyHszXqi2gdi2Meus11GrW5E6hqqB4VRaFTEAjF9AojNAohGnIC/5UGKE2/71gn7u/lhuhts6kKuiNhcUqubkAZSpUyaE1yJB3d2HKIEeO1oCcfCNy8w3IytUhX2uEQa+DQa+HQVfwp14Po94AvU4HY8HXpsfv/Fm43bSPAQa9HjFnzlnnRZWhMvkKMGddQZOW9dG6vg8A4PMPf5E4GqoI5ivRvalXrzouXFyGv/46gAnjP4dWq6/wsU5V7IqIiMCQIUOKbOvfvz8iIiIkioiISsN8JXIezNeqq8PQARj5xmsIruYGf43BVKRSCGgUWrjJ8+98XVCoUstNhS03hYDSSi2DcvP0yM7TIStHh6wcLbKyTSMzOw8ZmfnIzMpDRmYu0tNzkJ6Rg4yMHKSlZZtHbk5eQRFKV/CnAUZzEequQlVBAcvZMV+rrtfengCZDLicqMeBbfz3dgbMV6J7M2fOo9BoVAgI8LGo0AVIXOzy9PREaGio+esGDRqgbdu2SElJQUxMDN5//33UqlUL48aNAwAsW7YMzz//PD788EN89913eOCBBzB69GgMHTpUqpdAVGUwX4mcB/OVyqN2d8fIN2Zi9Jh+aBeQh3peqZU6j9FoRHq6qfiUnp5dpAiVUeTrLPN+d++bnp4Ng8Fo5VfnXJivVBEKhRyPDG0LAFj95yGJo6m6mK9E9lOvXnWMn9APADD/ndUWHy9psatTp07YtWuX+evPPvsMAPD9999jwoQJqFGjBurWrWt+PDo6GkOHDsVnn32G6dOnIzY2Fs888wxv20pkB8xXIufBfKWytOrWHh+ueAP3hbrBV50JwFS0OnkyCsnJGaYZVP8pSpVUsEpLy0JWVh6EYJPse8F8pYoY/fQA+HkokKOXYcl730sdTpXFfCWynzlzHoVKpcS2bSdw4MB5i4+XAahSP6F4e3sjIyMDPj4+yMzMlDocIkk5ej4UxrdgwQL2LaAqT61WY/bs2Q6fr44aHwEdO4Zi/sLn0b9HI/MSxNS0HHyzbBOWLduM69cTpQ3QhThDPjhDjHTHgVPfoFubGvj3VCoGthsrdTgux9HzwdHjI7K2unWDcPnKN1CplOhx/2tFil0VzQen6tlFRERERBWnVivx6KM98OKMEejc6c7Sm+jEXCyY9wN+XLkNeXn8MIHIkdWqFYAurUMAAMu+3CBxNEREtjdnzmioVEr8+2/lZnUBLHYRERERuZzatQMxZcpgPDN5AKpX9wNgumvhxVQlvvjsH3z73tfSBkhEFfbSnKcgl8lwI0OOjT+ukzocIiKbqls3COMnhAEA5r/za6XPw2IXERERkYvo06c1pj0/DA891BUKhQIAkKmV43SqG3acSMSy6W/g1qWrEkdJRBUll8vx9JM9AADrdlyENjdP4oiIiGxr9uxHoVarEB5+Evv3n6v0eVjsIiIiInJiXl7uePrpvpg6bShatrzTGPlSfD4uagNxNUONA2vWYt1Hi/iLMpGTGTSkE4L83JCnl+GrTyo/w4GIyBnUqROECRPv3IFR4+mBaSu/woHf/8LhvzfAaDBU+FwsdhERETkohUIGuVwGnc4odSjkgJo2rY1p04Zg7Lgw+Ph4AACysnKxccdFpNfpjGxVIHIzMvHH/Hdxaut2iaMlosp4adbjAIATNw24cOCIxNEQEdnW7NmjoFarsH37Kezbdw4DpkxEreZN0HvsEzj8t2U9C1nsIiIikpBCIUO1ahr4B2gQ4O+Gav4aBPhr4B/gBh8fFcL/jUNERILUYZKDkMvlGDasM6Y9PxT9+7c3b79wIRZff7MVKYEt0O7B4QCA6FOR+Om1t5B6M16qcInoHgQH+6F3d9ONJX78eS+EEBJHRERkO3XqBGHipP4ATLO6PP180XvckwCALUu/tWhWF8BiFzkRDw8N+vRpDQ8PDbKz85CTk4/s7PyCP/PMf+bmavnDABE5FHNBy99U1PL3dzP93V8DX181ZDJZqcf6+qntGCk5qsBAH0yaNABTnhuMevWqAwAMBgPWrz+CpUs24OyNLDz90Xy0C20Io9GIHct/wNavlsOot+wHQyJyHM9OHQ6lQoabOUr89e0fUodDRGRTr79umtW1Y8cp7N17FsNefh5uXp6IPXcRp7ftsPh8LHaRQwsO9sPw4V3w4Ihu6NevLdzcKvZLX25uyYWwuwtkOaVs/+/+Je2j0+lt/MqJyNkoFDL4+akREGAqZJlmaLnBP6D8glZ+vgHJyXlISckvGHlISTb9PSeH/99UZZ06Nca054fiscd6mt8Dk5IysPzbrVi2bDNu3LiN7qMfxowPpkPlpkF64m2snjMflw8dlThyIroXMpkMz/7fYADArlPJSIy6LnFERES2U7t2ICY9Uzir61f4VA9CjydGAQA2L15WqcksLHaRw2nWrDZGjOiGB0d0RdeuTSCXy82PXbsWj5iYJHh4aODpqSn40838ZyF3dw3c3TU2i1Gn05dbKMstYXtFimvZ2fnIy+PsNCJHJJfLUK2a2jQzK6BgplbBLC1fXzXk8vILWqkFBa3klDykZuiRkiWQa1BArlFBplFDptFApvGGLEQFWT01lDduQR9zy46vkqSm0ajw6KM9MO35oejatal5+5Ejl7F0yQb89tte5Ofr4O7jg3GfLUCbfn0AAOf27Mevb/wP2alp0gRORFbTt29r1Ar2Rr5BhpVfr5c6HCIimyq8A+OOHaewZ88ZjHzzNajcNLh67AQu7DtYqXOy2EWSk8vl6N69GUaM6IoHR3RFkya1ijx++PAlrFt7CGvXHsTZszdKPY9MJoObm7rEIpiHh6bUAlnhdvdSthd+7enpBqXSdBt3lUoJX18lfH09bXZdSpuRdnfhLKfcwlnpjxsMbHhNVJIiBa3/LDusSEErJU2H1Aw9UrOMSM0RSM2TIU2rQC7UkGm8IFP7Q+augqyhGjK5HHIAZf1PYkzPYrGriqhTJwhTpgzCM5MHIijIFwCQn6/Db7/txdIlG3DkyGXzvg06tMWYD+ahWo0Q6HU6bFi4FHt/+k2q0InIyl54eSQA4FyKCgfXbpE4GiIi26ldO/CuXl2/IqBObXR92NR/dPOiZZU+L4tdJAl3dw369WuLhx7qhqHDOqN6dT/zY/n5OuzYcRrr1h7E+vWHcfNmSoXOKYRAbm4+cnPzbRS1qchVdtGseJGssNDmUcpjRQpud81GKyywFf7CY02vzFyBhQv/sfp5iZyFXA74+WkQEKBBtYJCVoC/6e9+fmUXtLR6gdQsgdRcIDVfjnS9Eml6FdKEG3INcgAFx6oA+BaMgi9LInR6CK0WIr9w6CDytTAWbDOmZVrxlZMjeuCBNpg6bShGjOgKhcL0ocqNG7fx9bLNWL58G27fTjfvK5PL0e/Z8RgwZSLkCgVuR9/Aj6+9ibjzl6QKn4isLDDQB0MGtgMA/LPtPLLT0ss+gIjIib3++ihoNCrs3Hkae/acwZgP5kGhUuLcnv2IOnG60udlsYvsJjDQB8OHd8HwB7tiwID28PC4U9hJTc3Cxo1HsG7tIWzdehyZmbkSRlo6nU6P9HQ90tOzbXJ+mUx21yy08otjRQpqRR5Xl7q/QqFATo7tCoJEjqKwoOVfcGdDf383+Ae6IcBfA18fVdkFLQOQplXcGfmmP1O1CuToZTAXtEogtDpz4cpUsNLdVcjS3lXYMm2HkbMsqyIvL3eMHdsXU6cNRYsWdc3bt28/haVLNmD9+sPFZuD6BgdhzAfvoFEn010Yj6zdiL/fX4j8nBy7xk5EtjV2XBhUSjnic5T4+7u/pQ6HiMhmatUKwKRnBgAw3YGxRpNGaDfYNMtry+Jv7uncLHaRTYWG1sCIEd0w4qFuuO++ZkX6b0VHJxQsTzyEvXvPQs87RkEIgezsPGRn5xX5JN+a1Gol2A6MXIJSAYW7Gn4BnggIcjctN/RTw99XhWreCvi6o8yCls4IpOYrkF5QxCosaKVpFcguKGgJIQoKVDqI/Jz/FK1KKmLpwASjsjRrVhvTpg3F02MfgI+PBwAgMzMHP6zagS+/3ITz52NKPK5l3554bP5cePr5Ii87G3/+72Mc37DVnqETkZ1MfeFBAMCxOIHzew9IHA0Rke0UzuratSsSu3efwcQvPoJcLsfJLeGIu3Bvs9ZZ7CKrkslk6NKlibn/1t2fVgPAsWNXzP23Tp+OlibIKk6r5Z3dyEGplJBp1JBr1KZG7Wo1ZBoV5G5q+PmpUc1XDX8fBap5ylDNA/DTGOGjNkJRej0LOiOKFLFS8+RIyTIiNdOArCwtRH5e0YJVvq7okkKtzn6vn1yWQiHH8OFdMHXaUPTr1868/fz5GHy5dCN++GFHqTOalWo1hs98Hj2efBQAEHP2PH589S0kx8TaI3QisrOePVuiYb1AaA3AL7/sgkHH9yEick21agXgmckDAZhmddVv2xot+/aEQa/H5iX3NqsLYLGLrECjUSEsrC1GjOiK4Q92RUhINfNjOp0eO3dGYt3ag1i37jBiY5MkjLTqkcnlUCiVpqFSmv+em5WF/GwueyEbUygg93AruMPgXUOt+s/Xasg1Svi6AX5qA/zUBlRTG+CrMf1ZtKBVfAaozgCk5QGp2UBqpgEp6TqkpGqRkpKHzNQ8GO8qYEHHYi/ZT2CgD555ZgCmPDcEdesGAQAMBgPWrTuMpUs2YMeOsvtQVG9QD09//C5qNm0MANj1/S/YtOgrGPT8PiZyVf/33BAAwMV0Dfat2SBxNEREtjNr1khoNCrs3n0Gu3ZF4rnvlgIAjq7dhKTrJc90twSLXVQp/v7eGDq0Ex4c0Q0DB7aHl5e7+bH09Gxs3nwM69YewubNx2zW38rWZDIZ5EollCoV5EolFCpFQdFIdaeAdFcRSV5km6pge9Fj5CUUnu7eX16wv/k5S9i/2DlUyv88x53nvHvZ6N3+ev9T7F+9xs5XlKoKmVoFVZMGUDeqA5nyztuMDAI+KiP8NAZzUcv09xz4qgxQlPztCgDQ6QVSM/VISdMhJTkfKcm5SE7MQcrtHGRm8lNvciydOzfGtOeH4bHHekKjMd2a4PbtdCz/diuWLduCmJjb5Z6jy8PD8dDrL0Hj4Y7M5BT8+sa7lb71NhE5h2rVvDBy5H0AgD1n0hBz5pzEERER2UbNmv6Y/OwgAMA7835Bk+5dENq5A/RaLbZ9tcIqz8FiF1VYgwbBGDGiGx4c0RU9e7Yw3zEKAGJibmP9usNYu/YQdu2KhM4KsycUSiU8q/nBy78avPxNf3pWqwa1mxsUSgXkKiWUShXkqrKLQkpVaYUoU2GotMKS/K7X5yqMRiOMej1kZSz7ItuqWdMD9ep7Sx2GbSgUUARWgzLAD1DIIYMWHrIc+Kn1qKYxwtdNQFFWDy2dEamp+UhJzkNKSj6SU/KRmpKH5OR8FrTI4Wk0Kowe3QPTnh+GLl2amLcfOnQRXy7diN9/34f8/PK/j928PDHqrVloX9Cc9VLEYfwy+x1kJlfszsRE5LyeeqovNGolEnMV+OfHjVKHQ0RkM7NmmXp17dljmtU149fvAAD7f/sLaQmJVnkOFruoVDKZDB07hpr7b7VuXb/I46dORZn7bx0/frXc88kVCnj6+cLTvxq8/avdVci6axRs8/T3g4ePj41eWeXpdToYdHoY9KY/jXoDDHo9DDqd6c/CoTP9aTR/rYPBvG/R/Y16A/Q63Z19/3sOnf4/z1H8OY16PfS6gucrtn/BMTodBO/6JqmWLavh4UcalNk03TXklbJdBr3eiJSU/IKRZ5qlVfD3jAwWtMj51K0bhClTBmPSMwMQFOQLAMjP1+HXX/fgy6UbceTI5Yqfq01LPPXhfATUrgmDTo/NS77GrpU/Q/CmB0RVQuESxjOpbji2YYvE0RAR2YZpVpepV9c781ajdVhv1GnZHHnZ2dj+7SqrPQ+LXVSEWq1E375tzP23atUKMD+m1xuwZ88ZrFt7COvWHcb1G7fh4esDL/9qaNSpPbwC/O8UqwoLWQHV4FXNVMjy9PO1OB6DXo/stHRkpaQiOyUNWamp0ObkllgUMheXzMUow1376P5TfPrv8YVFLENB4eg/xSedHkYD7xZJlde6jT9GjKgPuVyGqKgMpKdrpQ7p3snlUPh4Qe7tCRQsmRVaHYxpGTDmmgpeuTl6JKfkFxS1WNAi1xEW1hbTnh+G4cM7m2c637hxG199uQkrVmxDUlJGhc8lk8nQd+JTGPT8s1AolUiOjcNPr72FG5FcwkRUVXTr1hQtmteGzghs3H4eafEJUodERGQTs2aNgpubGnv3nsWu3Wfwyl8/AQD2/PgbslPTrPY8LHYR/Pw8MWRIJ4wY0Q0DB3WEj8+d/ls5uTocPZeIE1czcDFRD5mHHzz7PIbxj0yBp5+vxUv9jEYjslPTkJ2ahqyUVGQV/JmdkorMlNQ72wtGbkYmP9Emp9euXQCGP1gPMpkMx4/fxob1N6QO6d4olVA3rgd1aD3IslRAFmBIy4T2/BXob1pn2jGRI/L2dsfYsQ9g6rShaN68jnl7ePhJLF2yERs2HIbBYNkMWu/AADy54G006dYZAHBi0zasefcj5GU5Z79LIqqcyQV3JLuUrsG+P7mEkYhcU40ad8/q+gUdhw1CSKMGyE5Lx+5Vv1j1uVjscnFu3l4FywOrFel9Vb9BCHp2qovOzQPRuIZbkT46WTo5rmWqcTVDjZhsFQyaGkALoHGLkp+jcOZVVmoqspJTixWy7h456RlcSkdVSocOgRg2vB4A4MiRRGzedO93FpGMUgF1aD2oG9eHTG1qum1Iz4T2/FXo4/gJNLmu5s3rYNq0oXh6bF94e3sAADIzc7Dq++348stNuHAhtlLnbdajGx7/35vwDvBHfk4u/lmwEIf/4d3XiKoaHx8PPP5EbwDAiXg5Tv+7S9qAiIhsZNaskeZZXbv3nsfr6+cBAHas+NHqH/Sx2OUCWvbpgUZdOpqXEJqXDfr7QalSFewlUN3NgEY++WjorUV196JL8pLyFLiaocbVTDWiEnKQnZJStGD1n0JWZsFsrOz0dBj1XN5HVJJOnYMwZEhdAMChQwnYuqVyvxBLTqmAulFdU5FLowYAGDKyoD13hUUucmnt2zfCRx9PQFhYW/O2c+du4MulG/HjjzuRmZlbqfMqVCoMnfEceo99AgAQd+ESfnrtLSRGXbdK3ETkXJ58sjfc3dVIzlNgy9q9yM/JkTokIiKrCwmpZp7VNf+d1eg2agT8a9VAesJt7Fu9xurPV8aN3u1j6tSpiIqKQm5uLg4ePIjOnTuXuf/06dNx4cIF5OTk4MaNG1i4cCE0Go2donU8/rVqYPznH6D304+j47BBaHpfV9Rq3gS+wUFQq5Wo66lFr8BUTGiUhDGhaehWPRfV3Q0wGAVOXkjAZ8v3ov+ji9Gu3XQMbPU4xjV7AG/ePwgfDH8MS8ZNwfczXsea+R9iy+JvsO+XP3Bi87+4fOgo4i9fRWZyCgtdVRBztmK6dK1uLnRFHIh3zkKXQgF1kwbwHNQLmlZNINOoYcjMQu6hU8j5dz8LXU6A+Vp5MpkM/6ydi7CwtjAYDPjrrwMIe2AuWrWchi+/3FTpQldg3dp44advzIWuvT//ji/GTGahi5ivVdiz/zcIABCZ6oaj6zZLHA1VBPOVyHKzZo2Eu7sG+/adw94DF9Hv2fEAgH+/Xgl9fr7Vn0/SmV2jR4/GwoULMWXKFBw6dAgzZszA1q1b0bRpU9y+fbvY/k888QQ++OADTJw4EQcOHECTJk3w/fffQwiBmTNnSvAKpNf5oWGQKxS4eekKjq7dBJGfg45NA9CrS3306dEUvr4eBXvKkJ2dh61bj2Pd2kPYuPEokpMr3jyXCGDOVlT37sHoP6A2AGDfvlvYsf2mxBFZSKGAqlEdqJs0gLxgJpcxMxv5569CH3NL4uCoopiv96ZDh0aoUycIGRk5aN3qecTEFL9mluo4bBAeeeMVuHl6Ijs1Db+++R7O7d5nhWjJ2TFfq66OHUPRrl1D6I3AoctZuHzoqNQhUTmYr0SWCwmpZi7sz39nNXo8ORo+gQFIionF4b/X2+Q5JS12vfzyy/j222/x/fffAwCmTJmCoUOHYuLEifjwww+L7X/fffdh//79WL16NQDg+vXrWL16Nbp27WrPsB2GTC5Hl4eGwkNhRMCtE5g9pjn69GkFtVpl3ichIRXr1x3G2rWHsH37KeTlucAd4EgyzNny3d8jBGFhtQAAe3bfxK5dTlQcUsihalhQ5HIzfdpozMq5U+TizSKcCvP13gwZ0gkA8O+/J++50KXx8MAjb7yCTsMHAwCuHDmOn1+fh4zEey+gkWtgvlZdhY3pL2dosP+ftext6wSYr0SWe+0106yu/fvPYf/hq5jzjilXti79Fga93ibPKdkyRpVKhY4dOyI8PNy8TQiB8PBwdO/evcRjDhw4gI4dO5qniTZo0ABDhgzBpk2bSn0etVoNb2/vIsNVNOneBY3qBWBs4xS8Pq0vBgxoD7VahfPnY/DhB2twX/dXULPGODz77BJs3HiEhS66J/bIWWfP1169apgLXbt2OlGhSy6HKrQePAf1glubZpC7aWDMzkHu0Uhkb9sH/Y2bLHQ5GebrvRsy1FTs2rzp3mZZ1G7RFC/9/j06DR8Mo8GAzUu+wbJnXmChi8z4M3HV5enphieeNDWmP5OqwdH1XMLo6JivRJYLCamG/5timtX1zrzV6DN+DDx8fHDr8lWc2BxeztGVJ9nMrsDAQCiVSiQkFO35kpCQgGbNmpV4zOrVqxEYGIh9+/ZBJpNBpVLhq6++woIFC0p9ntmzZ2PevHnWDN1hDBn3CB6pnwF3palh7vcrw7F27SFcvuxkS6bIKdgjZ505X/v0rYlevWoAALZvj8P+ffESR1QBcjlUDWpD3bQB5O5uAABjdg60F65Bd50FLmfGfL03QUG+6Ny5MQBgUyWLXTKZDL2efhxDZjwHpUqFlJu38POseYg+edqaoZIL4M/EVdfjj/eCt7c7UvPlOHgkCvFXrkkdEpWD+UpkuVdffQTu7hocOHAeh07cwOz3FgIANn+xzKazWSVvUG+J3r17Y86cOZg6dSo6dOiAhx9+GEOHDsUbb7xR6jELFiyAj4+PedSqVcuOEdtOnYa1MefplvBSGXHh0i30uP81fPLJ3yx0kUOxNGedNV/DwmqZC13btsU4fqFLLoOqYR14DuwJt3bNIXd3gzE7F3nHziJ76z7oouNY6KqCqkq+VsSgQR0gl8tx7NgVxMenWny8l381TPryUzz46otQqlQ4/e9OLHx0HAtdZDX8mdg1PDN5AICCxvSc1eWymK9UlQUH+2HKc6Y2Du/MW41+z46HxsMd0acicXaXbfuWSjazKykpCXq9HsHBwUW2BwcHIz6+5F8U3333Xfz4449YsWIFAODMmTPw9PTEN998g/feew+ihF/OtFottFrXWr7n7q7Bxi3zEeBmRGqOAf0fmI20tGypwyIXZ4+cdcZ87T+gNrp3N12TLVticPhQosQRlUEmg6p+LaibNYTcwx0AYMzJNc3kYoHLpTBf782QoaalJpVZwti4W2c8+f5b8AkKhC4vH2s/WoSIP/62dojkQvgzcdXUpk19dO3aFAYjcCZJiRObt0kdElUA85XIMoWzuiIiLuDo2Vt4/cOHAACbFi2z+XNLNrNLp9Ph2LFjCAsLM2+TyWQICwtDREREicd4eHjA+J9pbgaDwXxsVaBQyPHL6lfQqnEQ8gwyvPDmWsTFJUsdFlUBzNniBg66U+jatPGG4xa6ZDKo6tc2zeTq0BJyD3cYc/OQd+IcsrfuhS4qloUuF8N8rTyFQo6BA9sDADZurHixS65UYOiM5/Ds15/DJygQ8Veu4fMnJrLQReVivlZNhY3pr2aqcXzXYWQlWz6LlOyP+UpUcaZZXUMAAO/M+wUDpz4DpUqFSxGHcfXIcZs/v6R3Y1y4cCFWrVqFo0eP4vDhw5gxYwY8PT2xcuVKAMCqVasQFxeHOXPmAADWr1+Pl19+GSdOnMChQ4cQGhqKd999F+vXry/2H4ir+vLL5zBiRDfojcCfl93w17d/SB0SVSHM2TsGD6mDzp2rAwA2rL+O48eTJI6oBDIZVPVqmmZyeXoAAIy5+dBevGYqcDn5vwGVjflaOffd1xx+fl64fTsdR45crtAx/rVq4KkP56Ne21YAgAO//411Hy+CLi/flqGSC2G+Vi3u7hqMeaoPACAyhUsYnQ3zlahiXn31EXh4mGZ1nbqSilc+MjWpt8esLkDiYtfvv/+OoKAgzJ8/HyEhITh58iQGDRqExETT7Ii6desW+Q/gf//7H4QQ+N///odatWrh9u3bWL9+PebOnSvVS7Crt99+ApOfHQSjUWBTjA82/b0DeZlZUodFVQhz1mTY8Lro0CEIQgisW3cdp0462OxKmQzKujWgadYIcq+CIldePrQXo6C7FsMiVxXBfK2coQV3Ydyy5XiFfglpN6gfRr01C+7eXsjJyMAf8z7A6X932jpMcjHM16rl0Ufvh5+fF9K1cly8lYdzNu5bQ9bFfCUqX/Xqd2Z1zX9nNQY9/yzkCgVOh+9CzNnzdolBBqBKrV3x9vZGRkYGfHx8kJmZKXU4Ffbss4Ow7OtpAIAtUSqcz/bFlxOm4urRExJHRs7M0fOhML4FCxY4RN8CmQwYPrwe2rUPhNEosHZtNCJPp0gd1h0yGZR1akDTvCHkXp4ACopclwqKXAYWuZyZWq3G7NmzHT5fHTW+ijp1ejFat66PJx7/CL/9trfU/dTubnjo9ZfR9ZHhAICoE6fx86y3kXrLwW9QQXbhDPngDDG6qj17P0SPHi2wL8EDX3y5DWvmfyh1SFWeo+eDo8dH9F8ffzwRM195GAcPXsBjz3yHGb9+B6PRiE8eHoOEa9H3dO6K5oOkM7uoYkaM6IalX04BAKz4/SgyWgxC0o1YFrqI7EgmA0aMqI82bQNgNAr8/XcUzp5xnP4apiJXI8i9C4pc+VpTketqDFDQF4KIylanThBat64Pg8GAbdtKf4+t0SQUT3/8LoIb1ofRaMT2b1dh21crYGSuEVE5WrSoix49WsAogHOpbji6jksYici1BAX54rmphbO6fsXgF/8PAHBs/ZZ7LnRZgsUuB3fffc3xy+pXoFAosGL5NpxSt0QDAIf/3iB1aERVhlwOPPRQA7Rq7Q+DQeCvP6/h/Pk0qcMCAChrh0DdvBEUPl4AAJGvhfZSNLRXb7DIRWShIUM6AgAOHLiA1NSS2wTc/8QoDJ/5PFQaDdITbuPn2fPs0mSViFzDM88MAABcy1TjetRNRJ88LXFERETWVdir69Chi7icLND/vq7Q63TY9tVyu8bBYpcDa968DtatfxPu7hqsX38Yb324Aa/8/SSMBgOOrNskdXhEVYJcLsMjIxugRYtqMBiMWPPHNVy8mC51WFDWCoa6ReidIpdWB+2lKFORS88iF1FlDBnaGQCweVPxuzB6+PrgsXfnolXfXgCAs7v24bc3/4fsNOn/PyAi56DRqPD02L4ATI3pj637TeKIiIisKyjIF1OnDQVg6tU1ZLpphdrBNWuREnfLrrGw2OWgatUKwOYt78Df3xsRERfw+GMfIWzKMwCAC/sOIiPxtsQRErk+hUKGkaMaolkzP+j1Rvzx+zVcviztL7bKWsGmmVy+3gAKilyXo6G9cp1FLqJ74OamRlhYWwDAxo1Fi10NO7XHmA/mwS+4OvRaLdZ/ugT7fuHdkInIMo88ch8CAnyQoZXhepYKRzdskTokIiKreuWVh+HhocHhw5dwPccd/dq2hjY3D+HffG/3WFjsckB+fp7YtHke6tYNwoULsRg+bD7ydXp0GmFa93ror/USR0jk+hQKGR4d3RBNmpgKXb/9ehVXr2ZIFo+yZnWom4dC4XdXkevKdVORS6eXLC4iV9G7dyt4eGgQE3MbkZHRAAC5QoH+/zcB/Z4dD7lCgcSo6/jptbcQd+GStMESkVN6ZrJpCePZVHdcPXYKKbE3JY6IiMh6/jura/CL0wEAe3/+HZlJ9r97PYtdDkajUeGftW+gdev6uHkzGYMGvoWUlEy0eqAXvAP8kZmcgnN7eHtiIltSKmUY/VgjhIb6Qqcz4rdfr+DaNWnufKOoEQRNi1Ao/HwAAEKnNxW5LkezyEVkRUOHdgIAbN50zLztiffeRIehAwGYemX+vWAhtLm5ksRHRM6tceOa6Nu3DYxC4EyaBkfXszE9EbmWmTMfgqenG44cuYxb8EdYk1DkZmRi58qfJImHxS4HIpfL8dPPr6BXr1ZIT8/G4EHzcOOGablil4dNtzY/um4zjFyqRGQzSqUMjz8eioaNfKDVGvDr6iuIji65UbUtKUKCoGnRCIpqvgDuLnJdB3Q6u8dD5OoGDzEVuzZuPAIA8PKvhnaD+wMAfn79bRzfuE2y2IjI+RU2po/OVCM1S49T23ZIHBERkfUEBvpg2vPDAADvvvsrBk17FQCwc+XPyM2QZtIAi10OZNGiyRg58j7k5+vw8EPvmZdR+AQFonnP7gCAw39zCSORrahUcjzxRCjqN/BGfr4Bq3+5ghs37FvoUgQHmmZy+RcUufR6aK/cgO5yNISWRS4iW2jatDYaNaqB/Hwdduww3RmtRa/7IZfLEXPuAgtdRHRPVColxo0PAwBEprrh7M69yMu0/wdpRES28sorD5tndSW51URg3drITE7B3p9/lywmFrscxOzZj2La88NgNBox9umF2LUr0vxYpweHQK5QIOrEaSRGXZcwSiLXpVbL8eSToahbz1To+vmny4iNzbbb8yuCA6BpHgpFgB+AgiLX1RjoLkWxyEVkY4VLGHftikR2dh4AoNUDprsuntmxR7K4iMg1jBjRFdWr+yEzH4jKVOPoOi5hJCLXERjoY+7V9d77azDg+dcBAOHfrJS0/QOLXQ5g/PgwvPf+WADAjOnf4o8/ivbk6vKwaTrgYTamJ7IJjUaOJ8c0Rp06XsjL0+OnHy/j5s0cuzy3orq/qcgVWA0AIPQG6K7dgPZSNES+1i4xEFV1hUsYNxXchVHt7o4m93UBwGIXEd27Zyabev+dS3dHRnIqLkYckjgiIiLrmTnzYXh5uePo0cvI8K0P3+AgpNy8hYg/1koaF4tdEhsypBO++fYFAMAHC/7AkiUbijzesFN7BNWrg7zsbJzcul2KEIlcmpubAmOeaoxatTyRm2sqdN26ZftClyLIH+oWoVAWFrkMBuiuxUB7MYpFLiI78vZ2R69eLQEAmzaZil1N7+sClUaDpJhYxF++KmV4ROTk6tcPxoAB7QEAZ1LdcHzTevbfJSKXERDgg2nPm2Z1LfjwLzww/Q0AwLavVsAgcZ9hFrsk1KVLE/z+x+tQKhVYtWo75sz5odg+XQsa05/cHM47QBFZmbu7qdBVs6YncnL0+PGHS0hIsG2eyf18oGnTFMogfwAFRa6oWGgvXoPIY5GLyN769WsHlUqJixdjcfXqLQBAqwd6A+CsLiK6d4WN6aPSFcjQKXB07SaJIyIisp6ZMx+Cl5c7jh27gpzqzeDp54uEa9E4tn6L1KGx2CWVxo1rYsPGt+HhocGWLccw+ZnFxfZx8/JEm/59AQCH2JieyKo8PJR46unGCAnxQHa2Dj/+cAmJiXm2fVKlAh49O0GmVkEYjNBFFczkysu37fMSUakK+3UVLmGUKxRo0ft+AMDZnXsli4uInJ9SqcD4CabG9GfTPXDz0hXcvHhZ4qiIiKwjIMAHz79garn00afr0Gv6XADAliXfwGiQfgYri10SCAmphi1b5yMw0AdHjlzGo6M+gL6E6cztBw+A2t0N8Veu4cbpsxJESuSaPDyUeHpsEwQHuyMrS4cfVl1CUpKNC10AVLVrQKZWwZiVg5w9RyBybf+cRFQ6mUx2p19XwRLGBh3awsPXB1kpqYg+GVnW4UREZRo6tDNq1gxARq4BVzPVOMbG9ETkQl5+eQS8vNxx/PhV5NduDTdPT8ScPY/T/+6UOjQAgFzqAKoaHx8PbNo8Dw0aBOPy5ZsYNvQd852f/qvLI6YqKWd1EVmPl5cS48abCl0ZGVqs+v6iXQpdAKBqWBsAoL0Ww0IXkQNo164hatTwR2ZmDvbuNX2oVHgXxnO79zvEp5JE5LyemWxawngxywt6vRHHN22TOCIiIuvw9/c2z+r65PONuO+xRwAAm7/4WsqwiuDMLjtSq5X48685aNeuIRISUjFo4Fu4fTu9xH1rNGmEuq1aQK/TOcR6VyJX4O2twtNjmyAw0A3p6Vr8sOoSUlPts4RQ7ucDRTVfCIMR+utxdnlOIipb4RLG8PBT0Gr1AO4Uu87s2C1ZXETk/OrUCcKgQR0AmBrTX4o4gozbSRJHRURkHS+//BC8vT1w/PhV6Bt2gEqjwZUjx3HxgOPcbZYzu+xEJpPh+1UvISysLTIzczBk8DuIikoodf8uBY3pz+7ci+zUNDtFSeS6fHxUGDfeVOhKS8vHqu8v2q3QBQCqBqZZXfq4BAittHcmISIT8xLGgn5dtZo1gX/NGsjPycXFiCNShkZETm7ixH5QKBS4lmxEmlaBo+u5hJGIXIO/vzdeeNE0q+vzr/5Fl4dMf9+8aJmUYRXDmV128umnk/D4472g0+kx8pEFOHGi9FuZK1QqdBw2CABwmEsYie6Zr68aY8c1QbVqGqSm5uOHVZeQnm7HOx8qFVDVqQEA0EXF2O95iahUgYE+6Nq1CYA7/bpa9u0JALgUcRj6fN44gogqRy6XY8LE/gCACzm+yMvO5mxRInIZL700At7eHqaaRuMuUCiVOLtrH6JPOVavU87ssoOZMx/GjJdGAAAmjP8c4eEny9y/9QO94Onni7T4BFw8cNgOERK5rmrV1Bg33lToSk7Ow6rvL9q30AVAVacGZColjJnZMCSl2vW5iahkgwZ1hFwux4kTV3HrVgqAu5cw7pEyNCJycgMHtkfdukHIzNHhSoYap7fthI53XiYiF2Ca1WVahbZk+W60H2LqTbh5seP06irEmV02NmZMH3z8yUQAwCszV+CXX8r/VKfLI6ZvniNrN0EYjTaNj8iV+ftrMHZcE/j4qJGUlIcff7iEzEz7LyEsXMKo5awuIocxeEhHAHeWMPrXqoFazZrAaDDg3O59UoZGRE5u8rOmFRrn0txgEDIcXbdJ4oiIiKzjpZdGwMfHNKtL3uJ+AMDxTdtw69IViSMrjjO7bKh///b4buV0AMDCT//GwoX/lHtMtRohaNytMwDg8D8bbBkekct7/IlQ+PiokZiYi1XfX5Sk0FW0Mf1Nuz8/ERWnUMgxaFBBscu8hNE0q+vasZPISc+QLDYicm41avhj2DDTz/IXsr2RcvMWrh07KW1QRERWUK2al3lW19c/HkSL3vfDoNdj69JvJY6sZCx22UjHjqH486/ZUKmU+OWX3Xj11ZUVOq7zQ0Mhl8tx+eBRpMTyF2OiyvL0VCIw0A1Go8CPP1xCdrZekjhUDQsb08ezMT2Rg+jevRmqVfNCUlIGDh26BIBLGInIOiZM6AelUoHLN3OQkq/EsQ1bIISQOiwiontWOKvr5MlrULU1/dx0+J8NSLoRK3FkJZO82DV16lRERUUhNzcXBw8eROfOncvc39fXF0uWLMHNmzeRl5eHixcvYvDgwXaKtmIaNgzBho1vwcvLHeHhJzFxwucVepOTyeXo8rDpTgaH2JieHJSz5GxAgBsAIC1NK1mhq2hjesd8EyDX5iz5am9DCu7CuGXLMRiNRnj4+qBhh7YAgDM7WewiaTBfnZ9MJsPESabG9Jd1gQCAY+u3SBkS2Qjzlaqau2d1fff7cTTs2B66/Hz8u+w7iSMrnaQ9u0aPHo2FCxdiypQpOHToEGbMmIGtW7eiadOmuH37drH9VSoV/v33XyQmJmLUqFGIi4tDvXr1kJaWZv/gSxEU5IstW99BcHA1nDhxFSMfeR9abcV+0W7SrTOq1QhBTkYGIrfzji3keJwpZwMCNACAlOQ8mz9XaVR1akCmVMKQmcXG9GR3zpSv9jZkqKnYtXnTMQBAi949IFcoEHfhElJvxksZGlVRzFfXEBbWFg0bhiArW4urWQG4fuoMbkffkDossjLmK1VFM2aMgK+vJ06dioK6XV8AwP5f/0R6QvHveUchabHr5Zdfxrfffovvv/8eADBlyhQMHToUEydOxIcfflhs/4kTJ8Lf3x/33Xcf9HpTAen69ev2DLlMnp5u2LjpbYSG1sS1a/EYMngeMjNzK3x8YWP64xu38Zbn5JCcKWf9C2Z2JadIl0uqBnUAcFYXScOZ8tWeatcORJs2DWAwGLB163EAXMJI0mO+uobJzw4EAJy8aYReyHB0/WaJIyJbYL5SVePn54kXp5tqFT+sO4PaD09AXnY2diz/QeLIyibZMkaVSoWOHTsiPDzcvE0IgfDwcHTv3r3EYx588EFERERg6dKliI+PR2RkJGbPng25vPSXoVar4e3tXWTYgkqlxJo/Z6NTp8a4fTsdgwe9jYSEtAof7+nna/5h+/BfXMJIjsceOWvNfA3wl3Zml6kxvQ+EwQAdG9OTnTlbvtpT4RLGgwcvIiUlEyo3DZre1xUAi10kDVf7mbiqCgryxYgRpv9LohACvU6Hk1vCyzmKnA3zlaqiwlldp09HQ9PuAQDA7lWrkZ2WLnFkZZOs2BUYGAilUomEhIQi2xMSEhASElLiMQ0bNsSoUaOgUCgwZMgQvPvuu5g5cybeeOONUp9n9uzZyMjIMI+4uDirvg7AtD5/+YoXMXBgB2Rn52HY0Hdw+bJlv9x2GDYISpUKsecuIu7CJavHSHSv7JGz1szXwpldKRLN7FI1NM3q0sclAGxMT3bmbPlqT4VLGDdtNN2FsUm3zlC7uyEl7hZuXrwsZWhURbnSz8RV2bhxD0CtVuHi9TQk5Stxbtc+3tnVBTFfqarx8/PE9BkPAgB+2XwRQQ3qITs1Dbt/WC1xZOWTvEG9JeRyORITE/Hss8/i+PHj+P333/Hee+9hypQppR6zYMEC+Pj4mEetWrWsHteCBWPx9NN9odcbMPrRD3DkiOU/LHctWMJ4mI3pyYVYmrPWzFf/gpldyVLM7FIqoKpj+oGHSxjJWUiZr/ai0agQFmZqRL9x4xEAQKsHegNgY3pyLo76M3FV9sxk0xLGi7l+AMAljGTGfCVnNn36g/D19cSZM9ehbm+a1bV9+Q/Iz86ROLLySdazKykpCXq9HsHBwUW2BwcHIz6+5Oawt27dgk6ng9FoNG87f/48atSoAZVKBZ2u+OwJrVYLrVZr3eDv8uKLw/HarFEAgMnPLMbmzccsPkedVi1Qo3Ej6PLzcXzTNmuHSGQV9shZa+Wrr68aSqUcer0R6em2y//SmBvTZ7AxPUnDmfLVnnr3bgVPTzfExibh9OloyBUKtOzTAwCXMJJ0XOVn4qqsd+9WaNKkFrJz8nHDWBPZqWm4sDdC6rDIBpivVJX4+t6Z1fXb9ij4h3VEWkIi9v/2l8SRVYxkM7t0Oh2OHTuGsLAw8zaZTIawsDBERJT85rB//36EhoZCJpOZtzVp0gQ3b94s8T8JWxs9ugcWfvYMAGDO7FVYtWp7pc5TOKsrMnwXcjMyrRYfkTU5U84W3okxNTUfQtjsaUpVuISRs7pIKs6Ur/ZU2K9r8ybTEsb67VrDs5ofctIzEHX8lJShURXGfHV+k58dBAA4eDEDOqMMJzb/C4O+YndjJ+fCfKWqZMaMB+Hn54UzZ25AVXAHxn+Xfec0N9OTdBnjwoULMXnyZIwdOxbNmjXDV199BU9PT6xcuRIAsGrVKrz//vvm/b/66iv4+/tj0aJFaNy4MYYMGYI5c+Zg6dKldo+9b982WPXDy5DL5ViyeD0++GBNpc6jdndD+8H9AQCH2JieHJyz5Ky/f8GdGJPt/x+xvJoPFH4FjelvsDE9ScdZ8tWeCvt1bSzo11V4Y5izu/bBaDBIFhcR89V5+ft7Y+TI+wAAMeq6AICj67iE0ZUxX6kquHtW19/74+AdEIDb12Nw+J8NEkdWcZItYwSA33//HUFBQZg/fz5CQkJw8uRJDBo0CImJiQCAunXrFpnuGRsbi4EDB+Kzzz7D6dOnERcXh0WLFpV4i1dbatu2Af7+Zy40GhX++GMfZsxYXulzten/ANy8PJEUE4urR45bMUoi63OWnPUvmNmVkmL/fl2qBmxMT47BWfLVXpo0qYXQ0JrIz9dh+3bTLK6WfXsC4BJGkh7z1Xk9/XRfaDQqXLh6G6miORKuRSPm7HmpwyIbYr5SVTB9+nD4+Xnh3LkYKFqb+ptuXfotjHrn+XBQBkCCRT7S8fb2RkZGBnx8fJCZafmSwXr1quNAxMeoUcMfu3efwaCBbyE/v/K/0E79/ks06tgem75Yhu3frqr0eYgq417zwdYK41uwYIFFfQueeDIUjRv7Yv366zhxPMmGEf6HUgmvob0hUyqRs+sQDMlp9ntucnlqtRqzZ892+Hx11PhmzBiBhZ89g23bTmDQwLcQ0rgRXv3rJ+jy8vFWr0HQ5kpwMwtyWY6eD4BzxOgMzpxdihYt6mL1/mTE+zbFxs+/wo4VP0gdFlnI0fPB0eMj1+Lr64lrUctRrZoXPlx1HOqOA3Dz4mUsfHQchBQ9Yv6jovngVHdjlJpcLsf6DW+hRg1/REZG46ER/7unQldgvTpo1LE9jAYDjqzdZMVIiaq2wjsxptj5Toyqunc1pmehi8ihFC5hLOzXVbiE8VLEYRa6iKhS7ruvOVq0qIvsnHykVGsMo9GI4xu3Sh0WEdE9efHF4ahWzQvnL8QBLUyz4Dd98bVDFLoswWKXBZo1q41WreohKysXgwe9jfT07Hs6X9eHhwEALuw/iIzE29YIkajKk8uBatVMxS579+xSNagNgI3piRyNl5c7evVqCQDYuPEIgDvFLi5hJKLKembyQADAnuM3oTXKcfXwcaTFJ0gcFRFR5fn4eGDG/7N33+FRVF8Dx79b0nsjIQmE3ns1ItKlWbDhzwooKCJKU7EXLFgpoogiAvJasCJIld4JAUIJLUCAdNJI75n3j00WYhJI2WR2k/N5nvsIs7OzZ8echJy999xp9wCwPiQFazs7LoYc59TOPSpHVnlS7KqE9u0NTSePH79EdHRSta6l1enocfcIAIKkMb0QJuPqaoNWqyE3t4D09NrrmaV1c7nWmP6SNKYXwpwMHtwZa2srzp6N4ty5GFx9vGnUrg2FBQWE7titdnhCCAvk4uLA6NG3AXCRhgAEr5HG9EIIy1Y8q+v0mWiU1oEArJ3/tcpRVY0UuyqhuNh1MvRyta/Vtm8gzl6epCUmcXKH5VVJhTBXHh7q7MRYPKsrPzIOZBtpIczKyJE9gWtLGIsb04eHHCMj+apaYQkhLNijj/bD3t6G02GxZLv6kZOZxfHN29UOSwghqszZ2Z5p00cB8O/JLLRWVpzZs58LwUfUDayKpNhVCe2Kil2hJih29brvLgAOrdlAQX5+ta8nhDBQZSdGvR6rRj4A5IVH1N7rCiEqZPiI7gCsXVuyX1fo1l2qxSSEsGwTnh4GwJ4zaYCG41u2k5OZqW5QQghRDc8/fydubo6cPRdLXnNDr9N1XyxSOaqqk2JXJbQ3UbHLydODtn1vBeDAn6urHZcQ4primV1JtTizSxrTC2G+unRphq+vB+npWezceQI7Zyea9+gKwIltUuwSQlRez54t6dy5KVlZOVz1bAfAIVnCKISwYNfP6toalodGq+Popq1EnjyjbmDVIMWuCrK21tOypS8AoaGXqnWtHncPR6fXczHkOFfCq3ctIURJxTsxJtbizC6rpo0AmdUlhDkaWbQL4+bNR8nNzaft7bei0+uJCTtPYoRsJiGEqLwJRY3pN+8+h9bRhZS4eMIOHFI5KiGEqLrnn78Td3cnzl24QnajLhQWFLDhy2/VDqtapNhVQa1a+aHX67h6Nb3azel7jTLswnhAGtMLYXK1PbPL0JjeqagxfUytvKYQouKGjyiahl+8C+MA2YVRCFF1jo52/O/hoqXQKfYAHFq7AaWwUM2whBCiypyc7IyzunZcBAUNwWvWW/zEHCl2VZCpljA27daZBk0DyMnM5OjGLaYITQhRRK/X4OJiDUBiYu3M7LJuVtyYPlYa0wthZjw8nLnlltYArF9/CL21NW1uuwWAE1t3qBmaEMJCPfzw7Tg62nHmTBT65l0ACF4tSxiFEJbr+efvwt3difMX40lr0Jb8vDw2LVyidljVJsWuCjLVToy9ixrTh2zYIk0shTCx4iWMWVn5ZGUV1PwL6vXo/Q3bjeeFy3IoIczN0KFd0Wq1hIRcICoqkZa9e2Bjb8/V2DiL7kEhhFDPhKcNSxj/PRiNzsqKiNBTxJ0PVzkqIYSoGsOsrnsA2BNljYKGfb/+RXJMrMqRVZ8UuyrIFDsx2jo60PmOQQAEyRJGIUzOvWgJY23N6jI0ptdRkJImjemFMEMjRvYEYN1/dmGUxvRCiKro0qUZPXq0JCcnj1i7JoDM6hJCWLbJk+/Ew8OZ8MuJJLk0Iyczi82Ll6kdlklIsauCTLGMscvwIVjb2RJ34SIXjx43VWhCiCIeRTO7aqtfl1Wz4sb0MqtLCHOj02kZNqwbAOvWBaPRamk/oC8g/bqEEFVT3Jh+/aZjeLRuS0FePiEbNqsclRBCVI2jox3TZ4wCYH+cHQoadv3fStITk9UNzESk2FUBNjZWtGhhWKpUnWJX73sNSxhlVpcQNcM4s6sWdmLUurugcylqTH85usZfTwhROb17t8bd3YnExFT27z9DQMf2OHm4k5Waxvngw2qHJ4SwMPb2Njz6WH8ADlwy9Og8vXsf6Ul145dCIUT9M3nySDw8nLkUmUycXSMyU1PZvvwntcMyGSl2VUCbNv7odDqSktKIja3aDzSfls1p3LEdBXn5BK+R6c5C1ITanNll3dQwq8vQmD6/xl9PCFE5I0cadmHcuPEIhYWFxiWMp3btpTC/Fnr6CSHqlNGjb8PZ2Z5z52KwaWNYIi3/phdCWCpHRztmvHgvAAcSHVDQsO37/yMrNU3lyExHil0VYIoljMWzukJ37JZPgISoIbXWs8tKj97fB4DcC7KEUQhzNHyEodi1bu1BADoM6gfAcVnCKISogvFFSxj/2nACFx9vMlNTObljj8pRCSFE1Tz3nGFW1+XoFKJ1DUlNSGT3T7+pHZZJSbGrAqq7E6POyorudw0DZAmjEDXFxkaLo6MVAElJNTuzy6qxr7ExfWHS1Rp9LSFE5fn5edClSzMKCwvZsOEw3s2a4BXQiPzcXM7s3q92eEIIC9O+fWNuvbUteXn5nM93Bww7q+fn5qocmRBCVJ6Dg61xVldwsjMKGjZ/s5TcrNrZ5Ku2SLGrAqq7E2OHgbfj4OpCSlw8Z/YeMGVoQogi7u6GWV1paXnk5hbW6GtZNfUHpDG9EOZqRNGsrv37z5CUlEaHgYZZXWf3HyQnM1PN0IQQFqi4Mf0/a4Npcqtho4tDsgujEMJCPffcSDw9nYmMTeWy4kliZDT7f/9b7bBMTopdFVDdZYy9770TgIN/r6WwQPqECFET3D2K+nXVcHN6aUwvhPm7toQxGEB2YRRCVJmtrTWPPzEQgC2Hr2Bjb0/C5UjZWV0IYZEcHGx58aX7ADiU6oaCho0Lv6Mgv+71IJZi103Y2dnQrJmhN09Vil1uDX1oGdgLgKC//jFpbEKIazyM/bpqdgmjsTF9hDSmF8IcWVvrGTy4MwDr1gXj3MCLgE7tKSws5OT23SpHJ4SwNPfffytubo5cvBhHYaMOgDSmF0JYruJZXVFX0gnPdSX2fDiH125UO6waIcWum2jTxh+tVktCQipXrlyt9PN73jMCrVZL2IFgEiOjTB+gEAK4bifGmpzZZaVH36ioMX14RM29jhCiym6/vQOOjnZERSUSEnKB9v1vA+DysVDSEpNUjk4IYWmKG9P/3y97aN7bMGv00D8b1AxJCCGq5PpeXUfS3FHQsGHBNyiFNdsCRi1S7LqJ6ixh1Gg09BxlWMIY9Jc0pheiJrnXwswuq8a+aHTFjelTaux1hBBVN3Kk4ZfR9esMSxg7DrwdgBNbd6gWkxDCMrVu7U+/fh0oKCjgeLwerVbL+UNHSIqUNgZCCMszadIIvLxciE7I5FyWE5dPnOT4lrr77yMpdt1EdXZibHlLD9z9GpKVmsaxzXX3i0gIc+BR3LMrseZmdkljeiHM34iRPQHDEkZbRwea9+oOwHHp1yWEqKTx4+8AYO3aYJr07Q9IY3ohhGWyt7cx9uoKSTfM6lr/xSKVo6pZZlHsmjRpEuHh4WRlZbF//3569uxZoec99NBDKIrCX3/9VWOxXduJ8VKln9vr3rsAOLxuE/k5NdtHSIjaYo75am+vx9ZWj6IoJCXVTK5p3V0NjenzpTG9sBzmmK81qUWLhrRs6Utubh6bNx+lzW2B6K2siD0fTsIlWXoszFt9y1dzZ22t54kxhsb0f204gU+LZuRl53B001aVIxPmQPJVWJriWV2xSdmcTXcg7EAwZ/cdVDusGqV6sWv06NHMmTOHd999l27dunH06FE2btyIl5fXDZ8XEBDAZ599xs6dNftJbVWXMdq7ONNxkGGr8wN/rjZ5XEKowVzztXhWV0pKLgUFSo28hnUzw6yu/EhpTC8sg7nma00aWTSra+fOUNLTs+hQtIQxdNsuNcMS4qbqY76au1GjbsHLy4XIyARSXZsChuXQ2ekZKkcm1Cb5KixNWbO61tXxWV1gBsWu6dOns3jxYpYtW8apU6eYOHEimZmZPPnkk+U+R6vV8uOPP/L2229z4cKFGovN3r7qOzF2GzkUvbU1UafOEnXqbE2EJ0StM9d8dXc39OtKqql+XVZ69P7SmF5YFnPN15o0fIShX9e6tcHorKxo2/dWQPp1CfNXH/PV3BU3pl+2bAtdhg0BZBdGYSD5KizNs8+OoEEDV+KSczidaseJbTu5fCxU7bBqnKrFLisrK7p3787mzZuNxxRFYfPmzQQGBpb7vLfeeosrV67w/fff3/Q1rK2tcXJyKjEqqm3bRgBcuXKVhITUCj8PoPd9hiWMB6QxvagjzDlfi2d2JdbQTozSmF5YGnPO15ri4GBLv34dAFi79iAtenXH1tGBlCvxRJw4pWpsQtxIbeQrmF/OmrNmzXwYPLgLhYWF7DiehKO7G6kJiXV+yY+4OclXYWns7W146eWiWV0ZHhQUKqxf8K3KUdUOVYtdnp6e6PV64uLiShyPi4vDx8enzOf06dOHp556igkTJlToNV599VVSU1ONIyoqqsLxVXUJo3+7Nvi2bkleTg6H126s1HOFMFfmnK81PbPL2Jj+gszqEpbBnPO1pgwe3AUbGyvOnYsmLCy6xBJGRamZ5c1CmEJt5CuYX86as+LG9Bs3HsGvdx8ADq/dSGFBgZphCTMg+SoszcSJw2nQwJX4lFxOXbXhyLpNxIadVzusWqH6MsbKcHR0ZMWKFUyYMIHExMQKPWf27Nk4Ozsbh5+fX4Vfr6o7MRbP6jq+ZQdZqWmVeq4QdUVt5qt78cyuGtiJUedxfWP6GJNfXwhzUNs/X2vCiBGGXRfXrQ1Go9HQvv9tAJyQXRhFHVOVfAXzy1lzpdfrGDtuMADL/2+H8XtJsOzCKKpA8lWo6fpZXYfT3MnPK2DjV9+pHFXt0av54gkJCeTn5+Pt7V3iuLe3N7GxsaXOb968OU2bNmXNmmtLA7VaQ70uLy+P1q1bl1oDnZubS25ubpXia1eFmV1WtjZ0HWH4NCjoT1nCKOoOc85XD4+imV01sBNj8ayu/MgYyJfG9MIymHO+1pTifl1r1wbTqENbXBp4kZ2ewbmDh1WOTIgbq418BfPLWXN111298PFxIzY2mahCV3pbWxN9JoyYs+fUDk2YAclXYUkmThyOt7cbCWn5nL5qw4E//yIxsv7MElR1ZldeXh6HDh1i0KBBxmMajYZBgwaxb9++UuefPn2aDh060KVLF+NYvXo127Zto0uXLkREmHaJUVWWMXYaPAA7J0cSI6M4F3TIpPEIoSZzzVcnJyusrLQUFChcvWriYtf1jekvRJr22kLUIHPN15rSuXNT/P09ycjIZufOE3QYaNgN+dSuvRTk5akcnRA3Vt/y1dwZG9Mv3UzXEcMAmdUlrpF8FZbCzu66WV0pruRk5/Lvt8vUDaqWqTqzC2DOnDksX76c4OBggoKCmDp1Kg4ODixduhSA5cuXExUVxWuvvUZOTg6hoSV3Dbh69SpAqePV5eBgS5Mm3kXXrnixq1fREsagVWulR4ioc8wxX4tndV29mkNhockuC4BVQFFj+qtpFCZLY3phWcwxX2vKiKJZXZs3h5CTk2fs1yVLGIWlqE/5as4CAhowdGhXAP5Yd4xHvn6WwoICDq/bpHJkwpxIvgpLMHHiMLy93UhML+DUVRt2//wTqVfi1Q6rVqle7Pr111/x8vJi1qxZ+Pj4EBISwrBhw7hy5QoAjRs3ptDUv8FWQLt2hp0YY2OTSUqqWN8tz8b+tOjZjcLCQoJXra3J8IRQhTnma03267Jqavg+kBcun7oJy2OO+VpTRow0FLvWrzuEV5PGeDdrQn5eHqd3l/6UXQhzVJ/y1Zw9+eQQtFotmzeH4NnJ8H3lzL4g0hIq3mtJ1H2Sr8LcGWZ13Q/AoRQXMtMz2brkB5Wjqn2qF7sAvvrqK7766qsyHxswYMANnztu3LiaCKlKSxh73WuY1XVm7wGuxl2pkbiEUJu55auxX5eJd2LUebiic3ZEyc+XxvTCYplbvtYEd3cnbrmlNQDr1gXTYYhhCdK5A4fITs9QMzQhKqU+5Ks50+m0jHvS0Jh+yXeb6D52KgCHZAmjKIPkqzBnzzwzDB8fN5IyCzmVbMP25d+RmZKqdli1zqJ2Y6xN7dsHABXfiVGr09Hj7uGANKYXoja5uxfN7Eoy7cyu4sb0eRGx0pheCDM2dGg3dDodR4+GExmZYOzXdWKbLGEUQlTc8OHd8ff3JD4+hZCLGXj4+5KdniHfS4QQFsXOzoaXZxbN6kp2JjXpKjt/+EXlqNQhxa5yVHYnxja3BeLSwIv0pGRCt+2qydCEENepkZldVlbGxvR54dKYXghzdm0JYzBOnh407tQegNDtu9UMSwhhYYob0/+wfCudhxv+fHTTVvKyTb/TsxBC1JSnnx6Kj48byVkKJ6/asOW7H8jJzFQ7LFVIsasclV3G2Pu+OwE49M8GCmQWiBC1QqMBNzdrwLQ9u641pk+VxvRCmDGtVsuwYd0AWLs2mPb9b0Or1XLpWGi9a8IqhKg6X193RhYVzpcu30bnoYad9oLXyBJGIYTlsLW1Ns7qCk5yIinmCntX/qlyVOqRYlcZnJzsaNzYC4DQ0Es3P9/Dnba39wHggCxhFKLWuLpao9NpycsrJDU1z2TXNS5hlFldQpi13r1b4eHhTFJSGvv3n6b9gL6A7MIohKicJ58cgk6nY8eOE1j7N8fW0YGkqBjCD4WoHZoQQlTY008PpWFDd65mw8mrNmz6egn5ublqh6UaKXaVoV07w6yu6OhErl69eXPbHncPR6fXc+noCeLOh9d0eEKIIsYljEmmW2JQsjF9tMmuK4QwvREjDDMxNm48jN7Glla39ATgxNYdaoYlhLAgWq2WJ58aAsB3izcae/Ae+mcDiqKoGZoQQlSYra01M195AICDiY7EhUdw8O91KkelLil2laGySxiLd2E88JfM6hKiNhU3p08y5RLGpo2A4sb0BSa7rhDC9Ir7da1bG0zr225Bb21N/MXLXAm/+axsIYQAGDKkC02aeJOUlMam7adofWtvQJYwCiEsS/GsrpQcw6yuDV9+S2FB/f5dRopdZSgudlVkJ8amXTvRoGkAOZmZhKzfXNOhCSGu427qmV3WVuj9vQHIC48wzTWFEDXC19edrl2bU1hYyMaNh+k48HZAljAKISqnuDH9/63YRttBA9DqdFwMOU7CJfl3gBDCMlzfq+tggiMRJ8M4ummrylGpT4pdZajMToy97jPM6jq6cWu93eVACLV4FM3sMlVzeqvG1zemTzXJNYUQNWP4cMOsrgMHzpJ0NYO2fW8FpNglhKg4b29X7r67FwCLF2+kx12GJYzBq2VWlxDCckyYMBRfXw9ScjSEXrVh3YJFsgwbKXaVqaLLGG0c7Ol8h2G3FmlML0TtM/XMLmNj+gvyaa4Q5q54CeP6dcE079ENO2cnUhMSuXQ8VOXIhBCWYuzYwVhZ6dm79xRJedb4tWlFfm4uIRu3qB2aEEJUiI2NFTNfKZ7VZc/5Q8c4vWufylGZByl2/YeLiwP+/p4AnDx54194uwwbjI29HVfCL3Ex5FhthCeEKKLTaXB1tQZMM7NL5+l2rTF9REy1ryeEqDnW1noGD+4MwNq1wXQoWsIYun0XSmGhmqEJISyERqPhqfHXNaYvmtUVun03Wakyu1sIYRmKZ3Wl5moIvWrL2vlfqx2S2ZBi13+0a2doTh0ZmUBKyo13Yuxd3JheZnUJUevc3GzQaDTk5BSQkZFf7esZZ3VJY3ohzF7fvu1xcrInOjqRI0fOXyt2bd2lcmRCCEvRv39HWrTwJSUlg9//2Ee3kXcAcEga0wshLIRhVlfRDozx9oTu2k/44aMqR2U+pNj1HxVdwujdvCkBnTtQkJdP8Jr6vaWnEGpw9zBhvy5rK/R+RY3pZQmjEGZv5MieAGxYfwj/dm1w9W5ATmYmYQeCVY5MCGEpJjxtaEz/04878OvUCWcvT9KTkjm9e7/KkQkhRMWMH38Hfn4epOZqCb1qy/ovFqkdklmRYtd/VHQnxt5FjelP7txDemJyjcclhCjJo6hfV2Ji9ft1GRvTJ6dSeFWWLghh7oaP6A4ULWEcZJjVdXr3fvJzc9UMSwhhITw9nbn33kCgqDH93YYljEfW/0tBfvVniwshRE2zsbHilVcfBOBggh2HNmwl6tRZlaMyL1Ls+o+K7MSo0+vpfucwQJYwCqEWj6KZXUlJ1Z/ZZdWsaAljuMzqEsLcNW/ekNat/cnNzWPz5hA6DDAUu05s3aFyZEIIS/HEEwOxsbHi4MEwToXF0nFgP0B2YRRCWI6nnhqCn58HaXlajidYseHLb9UOyexIses/KrKMsf2Avji6u5FyJZ4ze2SqsxBqcHc3zcwunacbOidpTC+EpRgxwrAL465dJ7F29aBhy+YU5OVzSnYeEkJU0PgJhiWM3y3eSOchA7GytSH2fDiRJ0+rHJkQQtyctbXeOKsrKN6O/avWE3/xxivT6iMpdl3H1dUBX18PAE6eLP+LpVfREsaDf6+jsEAaWQuhBuPMrmr27LrWmD5GGtMLYQFGjDQUu9atPUiHAX0BOH/oCFmpaWqGJYSwELfd1o42bfxJT8/i55930r1oCaM0phdCWIqnnroDf39P0vK0HI3TsunrJWqHZJak2HWd9u0DALh8OZ60tKwyz3H1bkDrW3sDEPTXP7UWmxDiGisrLU5O1gAkJVV9ZpfG2gq9nw8AeRciTRKbEKLmODjY0r9/RwDWrTtk3IXxxNadaoYlhLAgE542tCL55eedWDm70KJnNwoLCzn8z0aVIxNCiJuzttbz6mvXZnXt+mUVV2PjVI7KPEmx6zoVWcLYY9RItFot5w4eJjFCfjkWQg3Fs7oyMvLIzq76bCx9gC8anZaC5BRpTC+EBRg4sBM2NlacPx9DVHwGTbp2AiBUil1CiApwc3PkwQf7AIbG9N3vMszqOhd0iKtxV9QMTQghKuT6WV2HowrZ8t1ytUMyW1Lsus7NdmLUaDT0GnUnAEHSmF4I1RT360qqZr8u4xLGcClcC2EJRo7sCcC6tcG0u70PWq2WiNBT8kuqEKJCHntsALa21oSEXODgwTB6FBW7pDG9EMISXN+r62C8Hdt++JX0pGSVozJfUuy6zrWdGC+V+XiLXt3x8PclKy2dY5u31WZoQojrFM/sSqzGTozGxvR50pheCEsxfER3ANatC762hHHbLjVDEkJYkPET7gAMjekDOnfAK6AROZlZHN+8Xd3AhBCiAp58cgiNGnmSnqcl6GIu25f/pHZIZk2KXde52TLGXvcaZnUdWbeJvOzqzSgRQlSdKWZ2WTVtBEhjeiEsRceOTWjUyIvMzBz2HjhHq1t7AdKvSwhRMb17t6ZjxyZkZubw4487jLO6jm/eTm5W2b16hRDCXPx3B8Z/v1tBdlq6ylGZNyl2FXF3d8LHxw2AkycjSj1u5+xEx8H9ATggSxiFUFV1Z3YZGtN7A5AXXjrfhRDmZ2TRLoxbthylSfeuWNnYkBARSWzYeZUjE0JYgqefHgrAr7/uJj0zly7DBwMQvHqdmmEJIUSFjBs3mMaNvUjP07L3bDq7f/5d7ZDMnlkUuyZNmkR4eDhZWVns37+fnj17lnvu+PHj2blzJ0lJSSQlJfHvv//e8PyKKp7VdfFiHBkZpX+B7jbiDqxsbIg+e47Ik6er/XpCWCpzyFd3j+rN7CrZmD6t2vEIYa7MIV9NZfgIQ7Fr3dqDdBjYD5BZXaJuqUv5am6cnOwY/VBfwLCEsV2/Ptg7O3M1No5zBw+rHJ2wRJKvojZZW+t57fWHAEOvrvVfL5WVZhWgerFr9OjRzJkzh3fffZdu3bpx9OhRNm7ciJeXV5nn9+/fn59//pkBAwYQGBhIREQEmzZtwtfXt1px3GwJY897pTG9EOaQr3Z2Ouzt9QAkJVXtm7x18RLGC9KYXtRd5pCvpuLm5sitt7YBYMPGI7TrZ9hNTYpdoq6oS/lqjh55pB8ODraEhl5m795T9LjbsITx0D8bUQoLVY5OWBrJV1Hbxo4dbOzVteNEktQkKkj1Ytf06dNZvHgxy5Yt49SpU0ycOJHMzEyefPLJMs9/7LHH+Prrrzl69Chnzpxh/PjxaLVaBg0aVK04brQTo2/rljRq14b8vDwOr91YrdcRwpKZQ74W9+tKTc0lL6/y/0DVebqhdXIwNKaPlMb0ou4yh3w1laFDu6HT6Th+/CJ6Lz/sXZxJT0rmYshxtUMTwiTqUr6aowlPDwMMs7oc3Fxpe9utABxaI7swisqTfBW1ycpKz2uvjwYMs7r+WbCYgvx8laOyDKoWu6ysrOjevTubN282HlMUhc2bNxMYGFiha9jb22NlZUVSUlKZj1tbW+Pk5FRilKXdDWZ2FTemP7F1JxlXUyoUlxB1jbnkq3txv67EqvXrsmomjelF3Wcu+Woq15YwXtuF8eSOPTIjQ9QJtZGvULs5a066dWtOt27NycnJY8WKbXQdPhidlZ7LJ04Sd+Gi2uEJCyP5Kmrb2LGDjL26/j0YzZF1/6odksVQtdjl6emJXq8nLi6uxPG4uDh8fHwqdI2PP/6Y6OjoEt9wrvfqq6+SmppqHFFRUWWeV94yRr21Nd3vNHwaFPTXPxWKSYi6yFzy1aO4X1cVljCWaEx/QRrTi7rLXPLVFLRaLcOHdwdg7dqDxmLXia07auT1hKhttZGvUHs5a26eLprV9fvve0hKSqN70S6MMqtLVIXkq6hNVlZ6Xn/zf4BhVtea+d/IB32VoPoyxuqYOXMm//vf/7j33nvJySn7F9/Zs2fj7OxsHH5+fqXO8fR0pkEDVwBOnSr5C3CHAX2xd3EmOSaWs/uCTP4ehKgvTJWv7u5Vn9mlD/BDo9VSkJRCYYo0pheiPKbKV1Po2bMlnp7OJCencympAHffhuRkZnFm38EaeT0hLE1F8hVqL2fNiYODLQ8/YiiQf7d4I97NmtC4QzsK8vI5sr78QoMQNUXyVVTG2LGDaNzIk4w8Det2XSB02y61Q7IoejVfPCEhgfz8fLy9vUsc9/b2JjY29obPnTFjBq+88gqDBw/m+PHye3bk5uaSm5t7w2sVz+q6cCGWzMyS33R63XcXAAf/XidVVFGvmUu+elRjJ0brpv4A5IXLrC5Rt5lLvprCyJGGJYwbNx6mbb/bADiz9wD5N/glQQhLUhv5CrWXs+bkoYf64uRkz9mzUezYcYIRU54F4NTuvWQkX1U3OGGRJF9FbSkxqyvBntVzF6kckeVRdWZXXl4ehw4dKtGcT6PRMGjQIPbt21fu81566SXefPNNhg0bxqFDh6odR3lLGN0a+tDyFsO2sAf/Xlvt1xHCkplLvlZ1ZpfOy/1aY/qIG/9jRAhLZy75agojRhp+Dq9fd61fl3yyKeqSupSv5mbC00MBw6wujVZL9zsNfw9eLUsYRdVIvoraMmbMQOOsrj83hBJ2IFjtkCyOqjO7AObMmcPy5csJDg4mKCiIqVOn4uDgwNKlSwFYvnw5UVFRvPbaawC8/PLLzJo1i0ceeYSLFy8aq+rp6elkZGRUKYb27QOA0jsx9rxnBFqtlrD9wSRFRlf1LQpRZ6idr46OemxsdBQWKiQnV+7TLqviWV0R0VAgjelF3ad2vppCw4budOvWnMLCQvaHRDLx5VYUFhRwcsduVeIRoqbUhXw1Nx07NqF379bk5uaxfPlWWvTshquPN5mpqZzcsUft8IQFk3wVNc3KSs8bbz0MFM/q+lrliCyT6sWuX3/9FS8vL2bNmoWPjw8hISEMGzaMK1euANC4cWMKr1s++Oyzz2JjY8Mff/xR4jrvvPMO7777bpViKGsnRo1GQ89Rhl0Yg1atqdJ1hahr1M5Xd3fDEsarV3MpLFQq/DyNjfV1jekjK/26QlgitfPVFIob0wcFncWnczcALhwKITMlVZV4hKgpdSFfzc2ECXcAsGrVAeLjUxg0xdCYPmT9Zgry8tQMTVg4yVdR05544tqsrp//OMjl4yfVDskiqV7sAvjqq6/46quvynxswIABJf7etGlTk79+WcsYW/TugbtfQ7JS0zi2WXZ8EqKYmvnq4WFYwpiUVLkljPoAX2lML+oltX++VtfwEYZ+XevXHaLDgL4AnNi6U82QhKgxlp6v5sTOzobHHjfcs+8Wb8Tazo5OQ/oDECy7MAoTkHwVNUWv1/HmO48CEFS0A6OoGovejdEUGjRwxdPTmcLCQk6fvjbjo/e9hlldh9dtkia4QpiJ4ub0iZVsTi+N6YWwPFZWeoYM6QLAlh0nadbd8OcT26TYJYS4sQceuBVXV0cuXIhly5ajdBzcHxt7e+IvRXDp6Am1wxNCiHI98cRAGvu7k5Gn4Yf/20XsuQtqh2Sx6n2x6/qdGLOyDL9A2zk702FQPwCC/pIljEKYi+Lm9JWZ2aXzckfrKI3phbA0ffu2w9nZntjYZPLc/NHqdESdPktytOSxEOLGJjw9DIAl321CURR63G1YwiizuoQQ5kyv1/H2rMcBCIqzYc2Cb1WOyLJJsauMJYzdRt6BlY0NUafPEnnyjFqhCSH+w71oZldSJWZ2GRvTX5bG9EJYkhHGJYzBtB9g2IVRljAKIW6mbdtG3HZbO/LzC1i6dDOu3g1o0cvQ/++QFLuEEGbs8ccH0MjPjYx8DYuX/Cub5FWTFLuKil3X78TYq7gx/V//qBKTEKI0jebazK7ExIrN7CrRmD5cGtMLYUlGjOwJwIZ/Q2h9a29Ail1CiJsbP97QmH7NmiBiY5PpdudQtFot5w4elpmhQgizpdfreOf9MQAciLZi7ZdLVI7I8tX7Ytd/d2L0a9MK/3atyc/N5fDajWqGJoS4jrOzNXq9lvz8QlJSciv0HCtjY/qr0pheCAvSrJkPbdr4k5eXz+U0PdZ2tiRFxRB9Jkzt0IQQZszGxoonxgwEDI3pAbrfZVjCeGi1zOoSQpivxx8fQCNfVzLyNSz8cjVpCYlqh2Tx6n2x67/LGHvddxdg+PRYtjYXwnwU78SYnJyDolTgCTotVs0aAZB7QWZ1CWFJipcw7toVSpPegYDM6hJC3Ny99wbi4eHM5cvxbNx4BP92bfBp3pS87ByO/rtV7fCEEKJMer2Odz8YC8C+SB3rv1mhbkB1RL0udvn4uOHu7kRBQQGnT0eit7am20jD1OcDf0pjeiHMSWX7ddl2bYfWwZ7CrBzyI2XZghCWZMRIQ7Frw4bDtO9/GyC7MAohbm7C00MB+H7JJgoLC42N6Y9v3UFORqaaoQkhRLkeHzMQ/4YuZOZr+OLz38lKlUk3plCvi13Fs7rOn48lJyePjoP6Ye/sTFJ0DGEHglWOTghxPWO/rgrsxGjV1B+rAD8URSE76Kg0phfCgtjb29C/f0cAjl5Iw8HNlcyUVMIPH1U5MiGEOWvRoiEDBnSioKCA77/fjE6vp+vwIQAEyxJGIYSZ0um0vFvUq2vPJdi05CeVI6o7pNjFdUsY7zU0pg/+ex1KYaFqcQkhSvOo4MwuraszNp3bApB7IoyChOQaj00IYToDB3bC1taaCxdisWtmyOXQ7bsplKK1EKIcbm6OvDvrUQDWrz9MZGQCbW67BUd3N1LjEwjbf1DlCIUQomxPjBuCv49hVtdnH/5EblaW2iHVGXq1A1DT9Tsxuvn60CqwFwBBq2QXRiHMTXHPrhvuxGhlhd0tndHotORFXyH3bHgtRSeEMJWRRbswrl8XTPsBgwHp1yWEKFuLFg2ZOvUexowdhIOD4UOxrxeuBa41pj+8dpMUy4UQZkmn0zKraFbXrgv5bF3xm8oR1S31uth1/U6MPe8ZCcDZ/QdlW2IhzIxWq8HV1VDsSkoqf2aXXc8Ohj5d6ZlkBx+vrfCEECY0vKg5/d6QKHr09ycvO4ez+w6oHJUQwpzcfnsHpk2/h7vu6oVWa1iocuTIeT6a/Tvr1x/CztnZ2O8veM06NUMVQohyjXnyDvy8ncjM1zD7rWUU5OWpHVKdUq+LXcaZXaciuOuTqQAESWN6IcyOq6s1Wq2G3NwC0tLK/iFg3bop+oYNUAoKyNofAnn5tRukEKLaOnQIoHFjLzIzc0ix8wbg7L4gcrNu3qtPCFG36fU6HnzwNqZNv4cePVoaj69ZE8TcOavYvv3ah1xdhg5Cb21N1OmzxJw9r0a4QghxQ9fP6tpxNofdv0sdwtTqbbGrYUN3XF0dyc8voMDFB3ffhmSmpnJclkoIYXbc3Ir6dZUzq0vn5Y51e8M/fLOPnKIwJa3WYhNCmM6IolldW7ceo1Xfol0Y5eeyEPWaq6sDEyYM5fkX7sLf3xOArKwcli/bwrx5qzl7NqrUc4p3YQxeI43phRDmadz44fg2cCQzX8OsV7+V5dY1oN4Wu9q2bQTAuXMxdL3z2pr+/JwbN78WQtQ+d3droOx+XRpbG2x7dUKj0ZAbHkn+pdL/6BVCWIYRIw3Frm27ztDo8eEUFhQQumO3ylEJIdTQrJkPU6bczbgnB+PoaAdATEwSX325lm++2UBiYmqZz/Ns7E+TLh0pLCjgyNpNtRmyEEJUiE6n5Z33Hgdg68l0gtbI96qaUG+LXW3a+ANw5mw0HQcZGuDKEkYhzJObezk7MWo02PXujNbWhoKrqeSEnFIhOiGEKbi6OnDrrYbdFy9l2eIPhIccIyP5qqpxCSFqV58+7Zg2/R5GjbrF2I/r2LFw5ny+il9+2Ulu7o3bFBQ3pj+z9wBpiUk1Hq8QQlTWUxPvxNfLgax8DW/P+ApFUdQOqU6qt8Wu4pldyfk2hjX9p84SdfqsylEJIcri7lY0syup5Mwum46t0Hm6oeTmGfp0FRaqEJ0QwhTuuKMrer2OEycu4dWpOyBLGIWoL/R6HffffyvTpo+iV69WxuPr1gUzd84qtmw5WqHraDQaut85DIDg1bKEUQhhfnQ6LW+98xgAG0OSObJ5l8oR1V31ttjVpq1hZpfOtzkAB/6SWV1CmKuyZnbp/byxbtkEgOzg4ygZWWqEJoQwkbvu7g3Aps1Had7/CQBCt8o/AIWoy5yd7Y39uBo39gIgOzuXFT9sZd681Zw6FVGp6zXt3gUPf1+y0tI5sU2+fwghzM/Tk0fh62lHVr6GN6fMVzucOq3eFrtat/YDQPHwJy81h8Oypl8Is+XiYg3kG3t2aRztse3eAYCcM+Hkx8SrGJ0Qojo6dWrCRx+PZdgww2yuU7H5tNPriQk7T2Kk9OAToi5q0sSbF164i6fGD8HJyR6AuLhkFn61jkWL1hMfn1Kl6/YoWsJ4bNNW6cMrhDA7Op2WN956GIB1B68QujdY5Yjqtnpb7HJxcSC/IJfkXB0ntmwlK7XsJpdCCPOQlZVPVlYB6HTY3dIFjZWe/PgkckPD1A5NCFEFAQENmPXeYzz6aD+0Wi25uXnM+XwVeQ1aA7KEUYi66JZbWjNt+ijuuy8QnU4HwIkTl5g7ZxU//bSDnJy8Kl/bytaGzncMBODg6nUmiVcIIUxp4rQHaehuS1a+htcmz1E7nDqv3ha7AJJztBQqGoJW/aN2KEKImyhewmjbrR06FycKs7LJPnAUpKGjEBbF3d2J1157kOcm34mNjRUAP/+8gzff+D8uRyYxa5ehz86JrTvUDFMIYSI6nZZ77w1k2vRRBAa2MR7fsOEQc+f8zb//HjHJ63QaPABbRwcSI6O4eOSYSa4phBCmotVqef21BwFYszeKsMMnVI6o7qvfxa48a5KiYgjbL9MHhTB3iYnZWDVrhFVjX5TCQrIPHEXJyVU7LCFEBdnZ2fDCC3cx85X7cXV1BGDLlqO8MnMZhw6dA6Bt31uxsbfnamwckSfPqBmuEKKanJzseOqpO3hhyl00aeINQE5OHj/+3zbmzv2b0NDLlbqeVq/D1ccbD38/PBr54eHvi4e/H+7+vnj6+2Hn7ATAoTUbZGczIYTZeX7mo/i42ZCVr2Hms5+qHU69UK+LXYk5Og6u+kd+IAphAZKzwKaT4RPhnBNhFCReVTcgIUSF6HRaxowZxDvvPoK/vycAISEXeGXmMjZtKjmjo8PA2wGksbQQFqxxYy9eeOEuxk8YirOzoR9XfHwKXy9cx8KF67hy5Wq5z7V1csSzkR/u/teKWR7+vng08sPVxxud/sa/ulwJv8S+3/825dsRQohq02q1zJx5LwCrdlzk0slzKkdUP2jVDgBg0qRJhIeHk5WVxf79++nZs+cNz3/ggQc4deoUWVlZHDt2jOHDh1fpdROydBz8W9b0C1EZauVrmocvGp2WvKg48sIuVukaQtQ3auVrsbvu6kXI0QV8t+QF/P09uXgxjscf+5zu3aaWKnRptFraD+gLSL8uUT+pna/V1atXK37+5WXOnV/M9Bn34uxsz6lTETw9YQEBjZ/knXd+IiExDXe/hrTs3YPe99/NiCnP8vhn7zP1l+95b/dGPtj7L9NWLmPM5x9w57TnCHxwFK0Ce+Hh74dOrycvO4fY8+GEbt/Nzv9byaqP5rJk8kt8cs/DvNKzPx/f/T9Sr8imNaLmWXq+ito19Y2x+LhYkZUPrzzzidrh1Buqz+waPXo0c+bMYeLEiRw4cICpU6eyceNGWrduTXx86R9WgYGB/Pzzz7z66qv8888/PPLII6xatYpu3boRGhpaqdc+fOAkyTGxpnorQtR5auZrisaOwvQMsoNlfbsQFaFmvgYGtuGjj8fSt297ABITU/ng/V9ZuHAtubn5ZT4noGN7nDzcyUpN43zw4cq/YSEsmJr5Wh1arZZ77unNtOmjuO22dsbjO/ee5Zd/jnM2Lg83vy48MX8EHv5+uDX0QWd1418/UhMSSYyIIjEyiqTIaBIjo0mMiCQxMpq0hERZkSFUZ6n5KtSh1Wp5acZdAPyx+RwR5yu3hFtUnQZQ9SfG/v37OXjwIM8//7whII2GiIgIFixYwMcff1zq/F9++QUHBwfuuusu47F9+/YREhLCs88+e9PXc3JyIjU1lfzCDQTePZfgtZtM92aEsDDF+eDs7ExaWtpNz1crXxU28OVxR65uCaIw5eZxClEXWVtb8+qrr5p9vv67fQ6D+7cCICsrlyX/t5tFS7aTlp59w+cHPjiK3vffzaF/NvDTq+/e9PWEMGfm/vP1+hgfHDeKrKzMCr6za3r1bMmTj/XBz9sZgPwChdAELcdSXUjIKb+glZeTQ1JUTJnFrKSoaHKzbvy9QoiaUJmctcR8Feq5Y2Qgzz/ek6x8aN58ArGXZbJNdVU0X1Wd2WVlZUX37t2ZPXu28ZiiKGzevJnAwMAynxMYGMicOSW36dy4cSOjRo0q83xra2tsbGyMf3dyMjSvTM7Sc37/IePfhaiPKvP1r2a+ZuTpyT52Dn1WDlhbVzhmIeoS60p87auZr4P7d6RQKeBUsjVBCZ5o+jzMs30ernDs4QfkZ7OwfOb28xXKz9lflz4HFFQ43v/KytcQmmzD8WQ7MvMNHVJyriaTHBVNcnQMiVExJEdFkxQdS1JUNKnx5c/OstFbYeNkVeVYhKiqiuaspeerUM9f/54hIzlD/o1jAhW9h6oWuzw9PdHr9cTFxZU4HhcXR5s2bcp8jo+PT5nn+/j4lHn+q6++yjvvvFPquJfDYJISEqoWuBB1jJOT000/xVIzXx2tBvPSozcMT4h6w9zzVcMQdBro4G4YlTX5rzWVf5IQZspc8hVunLPVYa+Hnl6GIYSlu1nOWnq+CvU8OnwYj6ZOUTuMOuVm+ap6z66aNnv27BKVdCcnJ6KiovDz86vQtHJRcXJva1ZN3V8nJyeio6NNdr3qkHytPXJva5bkq3xNmZrc35pTH/IVJGdrk9zbmlOT99acclbytfbIva05auerqsWuhIQE8vPz8fb2LnHc29ub2Niy17LGxsZW6vzc3Fxyc3NLHU9LS5Mv5hoi97Zmmfr+VvRakq91k9zbmiX5KkxN7m/Nqcv5CpKzapB7W3Nq4t5W5HqSr3WX3Nuao1a+ak36ipWUl5fHoUOHGDRokPGYRqNh0KBB7Nu3r8zn7Nu3r8T5AEOGDCn3fCGEaUi+CmE5JF+FsBySr0JYDslXISyLouYYPXq0kpWVpTzxxBNKmzZtlEWLFilJSUlKgwYNFEBZvny58uGHHxrPDwwMVHJzc5Xp06crrVu3Vt5++20lJydHad++fYVez8nJSVEURXFyclL1fdfFIfe27t9fyde6M+Te1v37K/lat4bc37p9b2s7X83lfdfVIfe2bt9byde6NeTe1ul7q/5NeO6555SLFy8q2dnZyv79+5VevXoZH9u2bZuydOnSEuc/8MADyunTp5Xs7Gzl+PHjyvDhwyv8WtbW1srbb7+tWFtbq/6+69qQe1s/7q/ka90Ycm/rx/2VfK07Q+5v3b+3tZmv5vS+6+KQe1v3763ka90Zcm/r7r3VFP1BCCGEEEIIIYQQQgiLp2rPLiGEEEIIIYQQQgghTEmKXUIIIYQQQgghhBCizpBilxBCCCGEEEIIIYSoM6TYJYQQQgghhBBCCCHqjHpX7Jo0aRLh4eFkZWWxf/9+evbsqXZIZu2VV14hKCiI1NRU4uLi+Ouvv2jVqlWJc2xsbPjyyy9JSEggLS2N33//nQYNGpQ4p1GjRvzzzz9kZGQQFxfHJ598gk6nq823YvZmzpyJoijMnTvXeKy+31vJ18qRfK09kq+lSb5WjuRr7ZF8LU3ytfIkZ2uH5Gtpkq+VJ/laOywhX1XfkrK2xujRo5Xs7Gxl7NixStu2bZVvvvlGSUpKUry8vFSPzVzH+vXrlTFjxijt2rVTOnXqpPzzzz/KxYsXFXt7e+M5CxcuVC5duqQMGDBA6datm7J3715l9+7dxse1Wq1y7NgxZdOmTUrnzp2VYcOGKVeuXFE++OAD1d+fuYwePXooFy5cUEJCQpS5c+fKvUXytSpD8rV2huRr6SH5Wvkh+Vo7Q/K19JB8rdqQnK35Iflaeki+Vm1Ivtb8sJB8Vf9G1dbYv3+/smDBAuPfNRqNEhkZqcycOVP12CxleHp6KoqiKH379lUAxdnZWcnJyVHuv/9+4zmtW7dWFEVRevfurQDKsGHDlPz8fKVBgwbGc5555hnl6tWripWVlervSe3h4OCgnDlzRhk0aJCybds24zeL+n5vJV+rPyRfTT8kX8sekq/VH5Kvph+Sr2UPyVfTDMlZ0w7J17KH5KtphuSraYel5Gu9WcZoZWVF9+7d2bx5s/GYoihs3ryZwMBAFSOzLC4uLgAkJSUB0L17d6ytrUvc1zNnznDp0iXjfQ0MDOT48eNcuXLFeM7GjRtxcXGhffv2tRi9efrqq69Yu3YtW7ZsKXG8Pt9byVfTkHw1PcnX0iRfTUPy1fQkX0uTfDUdyVnTknwtTfLVdCRfTctS8lVv0quZMU9PT/R6PXFxcSWOx8XF0aZNG5WisiwajYZ58+axe/duQkNDAfDx8SEnJ4eUlJQS58bFxeHj42M8p6z7XvxYffbQQw/RrVu3Mtfe1+d7K/lafZKvpif5WjbJ1+qTfDU9ydeySb6ahuSsaUm+lk3y1TQkX03LkvK13hS7RPV99dVXdOjQgdtuu03tUOoEf39/5s+fz5AhQ8jJyVE7HFHHSL6aluSrqEmSr6Yl+SpqmuSs6Ui+ipom+Wo6lpav9WYZY0JCAvn5+Xh7e5c47u3tTWxsrEpRWY4FCxZw5513MmDAAKKioozHY2NjsbGxMU4NLXb9fY2NjS3zvhc/Vl91794db29vDh8+TF5eHnl5efTv358XXniBvLw84uLi6u29lXytHslX05N8LZ/ka/VIvpqe5Gv5JF+rT3LWtCRfyyf5Wn2Sr6ZlifmqeoOz2hr79+9XvvjiC+PfNRqNEhERIQ3+bjIWLFigREZGKi1atCj1WHETuvvuu894rFWrVmU2obt+15AJEyYoV69eVaytrVV/f2oNR0dHpX379iVGUFCQ8sMPPyjt27ev9/dW8rVqQ/K1Zobk642H5GvVhuRrzQzJ1xsPydeqD8lZ0w/J1xsPydeqD8lX0w8LzFf1b1ptjdGjRytZWVnKE088obRp00ZZtGiRkpSUVGInABklx1dffaUkJycrt99+u+Lt7W0ctra2xnMWLlyoXLx4Uenfv7/SrVs3Zc+ePcqePXuMjxdvL7phwwalU6dOyh133KHExcXJtq1ljOt3s6jv91bytfJD8rV2h+TrtSH5Wvkh+Vq7Q/L12pB8rdqQnK29Ifl6bUi+Vm1IvtbeMPN8Vf8G1eZ47rnnlIsXLyrZ2dnK/v37lV69eqkekzmP8owZM8Z4jo2NjfLll18qiYmJSnp6uvLHH38o3t7eJa7TuHFjZe3atUpGRoZy5coV5dNPP1V0Op3q78/cxn+/WdT3eyv5Wrkh+Vq7Q/K15JB8rdyQfK3dIflacki+Vn5IztbekHwtOSRfKz8kX2tvmHO+aor+IIQQQgghhBBCCCGExas3DeqFEEIIIYQQQgghRN0nxS4hhBBCCCGEEEIIUWdIsUsIIYQQQgghhBBC1BlS7BJCCCGEEEIIIYQQdYYUu4QQQgghhBBCCCFEnSHFLiGEEEIIIYQQQghRZ0ixSwghhBBCCCGEEELUGVLsEkIIIYQQQgghhBB1hhS7hBBCCCGEEEIIIUSdIcUuIYQQQgghhBBCCFFnSLFLCCGEEEIIIYQQQtQZUuyqpn79+qEoCvfff7/aoQghbkLyVQjLIfkqhOWQfBXCcki+ivpCil1lUBSlQqNfv35qh1phPXr0YMGCBZw4cYL09HQuXbrEypUradmyZYWv4eLiwjfffMOVK1dIT09n69atdO3atQajrj3VfW9t2rRh/fr1pKWlkZiYyA8//ICnp2ep8zQaDS+99BIXLlwgKyuLo0eP8r///a/WrlkXSb6WTfK1fGrm6/UeeeQRFEUhLS2twrFbOsnXskm+lq8mfxbq9XpCQ0NRFIUZM2aUevy1117j77//JjY2FkVRePvttyscd10g+Vo2ydfyVSRfGzZsyIoVKzh9+jSpqakkJydz4MABnnjiiTKvOWjQILZu3Up8fLzx3Mcee6zUec7Oznz88cecPXuWzMxMLl68yHfffUejRo0qdxMslORr2SRfyzZ+/Hi2b99ObGws2dnZXLhwge+//56AgIAyz2/QoAGLFi0iMjKSrKwswsPD+e6770qcEx4eXu7X3dmzZ0td7/vvvycuLo7MzEwOHTrEAw88ULUbcQN6k1+xDvjvN9AnnniCO+64o9TxU6dO0bZt29oMrcpmzpxJnz59+O233zh27Bg+Pj5MnjyZw4cPc8sttxAaGnrD52s0GtauXUvnzp359NNPSUhIYNKkSWzfvp3u3btz7ty5Wnonplfd9+bn58fOnTtJSUnhtddew9HRkRdffJGOHTvSq1cv8vLyjOd+8MEHvPrqq3z77bccPHiQe+65h59//hlFUVi5cmWNXrOuknwtTfK1fGrnazEHBwc++eQT0tPTTXdzLIDka2mSr+Wr6Z+Fzz//PI0bNy739T/44ANiYmI4cuQIw4YNq9pNsGCSr6VJvpavovnq6emJv78/v//+O5cvX8bKyoohQ4awfPlyWrduzeuvv2685l133cWqVavYt28f77zzDoqiMHr0aFasWIGnpyfz5s0zxv7vv//Srl07Fi5cyNmzZ2nRogWTJk1i6NChtG3bts7/vJV8LU3ytXxdu3YlPDyc1atXk5ycTNOmTZkwYQJ33nknnTt3JiYmxniuv78/e/bsAWDRokVERUXh6+tLr169Slxz6tSpODo6ljgWEBDABx98wKZNm4zHnJyc2L17N97e3syfP5/Y2FhGjx7Nb7/9xiOPPMLPP/9c3dtTgiLjxmPBggWKoihlPtavXz9FURTl/vvvr9K17ezsauU9BAYGKlZWViWOtWjRQsnKylJWrFhx0+c/+OCDpd6np6enkpSUpPz444+q/z+qzqjue/vqq6+UjIwMpVGjRsZjgwYNUhRFUSZMmGA85uvrq+Tk5CgLFiwo8fwdO3Yoly9fVrRabY1es74MyVfJ1xsNNfP1+jF79mzl1KlTyooVK5S0tDTV76taQ/JV8vVGoyZ/Fnp5eSnJycnKG2+8oSiKosyYMaPUOQEBAQqgeHh4KIqiKG+//bbq91TNIfkq+XqjUZWfhdeP1atXK2lpaSXydePGjUpkZKRibW1tPKbT6ZSwsDAlJCSkxP9XRVGUSZMmlbjm2LFjFUVRlFGjRql+f2t7SL5KvlZ2dOvWTVEURZk5c2aJ42vXrlXOnz+vuLu7V/qar7/+uqIoihIYGGg89uKLLyqKoigDBgwwHtNoNMqBAweU6OjoUv/PqznU/59l7qMi3ywefPBB5bXXXlMiIiKUrKwsZfPmzUrz5s1LnLtt2zbl+PHjSrdu3ZQdO3YoGRkZyty5c1V9b8HBwUpwcPBNz1u5cqUSExOjaDSaEscXLVqkpKenl/gh5OPjo7Ru3VrR6/U3va5Go1FeeOEF5dixY0pWVpZy5coVZf369Ur37t1r7R5U5r2VNWJjY5WVK1eWOn769Gnl33//Nf792WefVRRFUdq2bVvivP/973+KoihKnz59avSa9WVIvkq+3uj5auZr8WjRooWSnZ2tDB8+XFm6dKkUuyRfJV/LGTX5s3DJkiXK/v37lSZNmpRb7CoeUuwyDMlXydcbPb+yPwv/O7744guloKBAsbW1NR7bt2+fcvz48VLn7tu3T9m3b5/x70OHDi2zeFN8fOjQoap+fakxJF8lXyt7TXd3d0VRFGX27NnGY61bt1YURVEmTpyoAIqNjU2F7lHxCA0NVc6fP1/i2N9//63ExcWVOnfGjBmKoijK4MGDTXafpGeXibzyyivce++9fPbZZ8yePZtbbrmFH3/8sdR5Hh4erF+/npCQEKZOncq2bdvKvaa1tTUeHh4VGlXl7e1NQkLCTc/r2rUrhw8fxvA985qgoCAcHBxo1aqV8djs2bM5ffo0fn5+N73ukiVLmD9/PhEREcycOZOPPvqI7Oxsbrnllhs+z87OrkL3xdXV1aTv7b98fX3x9vYmODi41GNBQUEl1k137dqV9PR0Tp06Veq84sdr6pqiJMlXydf/qo18LTZv3jy2bdvG+vXrb/BORTHJV8nX/6ruz8KePXsyZswYpk6dWio2UT2Sr5Kv/1Xez0JbW1s8PDwICAjgiSeeYNy4cezbt4/s7GzjOdu3b6dDhw7MmjWL5s2b06xZM9544w169OjBJ598YjwvODiY9PR03nvvPQYMGICvry+33347n3zyCUFBQWzevPmm778+knytn/l6PXd3d7y8vOjevTtLly4FYMuWLcbHBw8eDEBcXBybN28mOzubrKws1q1bV25/r2JdunShXbt2/PTTTyWO29jYkJWVVer8zMxMALp3716h2Cuq1iqQljoqUhkPDQ0tMeXu+eefVxRFUdq3b288tm3bNkVRFOXpp5+u0OuOGTNGqaiqvK9HH31UURRFGTdu3E3PTUtLU7777rtSx4cPH64oiqLccccdxmNLly5VFEUxTv8vb/Tv319RFEWZN29epWN/++23K3RfwsPDTfre/ju6d++uKIqiPPbYY6Ue+/jjjxVFUYyV9TVr1ijnzp0rdZ6dnZ2iKIry4Ycf1tg169OQfJV8Le+5aucroIwYMULJzc01zkCRmV2Sr5KvZT+3Jn8W7t+/37jMIyAgQFEUmdlVkSH5Kvla3nMr+7MQUGbOnFkixn///Vfx9/cvcY69vb3yyy+/KAUFBcbz0tPTlbvvvrvU64wYMUKJiooqcc3169crDg4OqueOGkPyVfK1IjFlZWUZXzc+Pl6ZPHlyicfnzZtnfGzdunXKgw8+qMyYMUNJTU1VwsLCbrik9dNPP1UURVHatGlT4vj8+fOV/Px8pXHjxiWO//TTT4qiKMoXX3xhsjyQBvUmsnTp0hKNUnft2gVAs2bNSjTPy87ONlZNb2bjxo3GaqqptW7dmq+++oq9e/eyfPnym55vZ2dHTk5OqePFn77Y2dkZj40bN45x48bd9Jr3338/hYWFvPvuu5WI3OCHH35g9+7dNz2vrKrxf1XmvZX1XOCmz8/Nza3w69TENUVJkq+Srzd6fk3lq5WVFXPnzmXRokWlZqCI8km+Sr7e6PmV/Vk4duxYOnbsWCO7PgnJV8nXm+drsZ9//png4GC8vLy488478fb2LvUaOTk5nD17lt9//50///wTnU7H008/zf/93/8xZMgQDhw4YDw3Pj6eI0eO8OWXXxIaGkqXLl14+eWXWbp0KaNHj77p+6+PJF/rZ75eb/jw4dja2tK2bVsee+wxHBwcSjxe3HA+NjaWkSNHGmeSRUZG8ssvv/DII4+wZMmSUtfVaDT873//4/Dhw5w+fbrEY9999x0TJ07k119/Zdq0acTFxTF69GjuvffeSsVeEVLsMpHLly+X+HtycjIAbm5uJY5HRUWVuTNXWWJjY4mNjTVNgNfx9vZm7dq1pKSk8MADD1BYWHjT52RlZWFjY1PquK2trfHxymrevDnR0dHGe1UZ4eHhhIeHV/p5ZanOeyt+rCLPr+jr1MQ1RUmSr5KvN3t+TeTrtGnT8PT05O233y43RlGa5Kvk682eX9HXcXJyYvbs2Xz66adERkZW5q2ICpJ8lXyt6PMvX75s/Hr55Zdf+Oabb9i8eTOtW7c2/sL+5Zdfcsstt9CtWzfjL9m//voroaGhzJ8/37hsrGnTpmzbto0nnniCP//8E4DVq1dz8eJFli9fzrBhw9iwYUPFb0Y9IflaP/P1etu3bwdgw4YN/P3335w4cYL09HS++uqrEtf59ddfSyyZ/O2331ixYgW33nprmcWufv364e/vz9y5c0s9dvz4cR555BEWLVrE3r17AYiJiWHq1KksWrTIpDunSrHLRAoKCso8rtFoSvy9Mklla2uLi4tLhc6Ni4ur0HnOzs6sX78eV1dX+vbtW2Jb0RuJiYmhYcOGpY4XH4uOjq7QdUzFwcGh1NamZSkoKLjpmu7qvLfi+1fe8xMTE42fYsXExDBgwICbvk5NXFOUJPkq+VrW82syX52dnXnjjTdYuHAhzs7OODs7A4ZPzDQaDQEBAWRmZhIfH1/+m6+nJF8lX8t6flXy9cUXX8Ta2pqVK1cae434+/sDhl/uAgICiI6OrvAvdaI0yVfJ17Kef32+luf333/n6aef5vbbb2fTpk1YWVnx1FNP8cknn5T4JTs/P5/169czefJkrKysyMvLY+zYsdja2vLPP/+UuObq1asB6NOnjxS7yiD5Wj/ztTwXLlzgyJEjPProo8ZiV/F1/vv/qrCwkMTExFKF0WKPPvooBQUF/Pzzz2U+/scff7B69Wo6d+6MTqfj8OHD9O/fH4CzZ89WOvbySLHLjD300EMsW7asQuf+95tSWWxsbFizZg2tWrVi8ODBlVpGExISQt++fdFoNCV+4PTu3ZuMjIwqfVGeP3+eoUOH4ubmVunq+Isvvsg777xz0/MuXrxI06ZNb3hOdd5bdHQ0V65coUePHqUe69WrFyEhISVeZ8KECbRt27bEve/du7fx8Zq6pqh5kq/lk3w1/CLt5OTEzJkzmTlzZpnvfdWqVcYp3KJmSb6Wry7na+PGjXF3d+fkyZOlrvn666/z+uuv06VLF44ePXrD9yVql+Rr+SwxX8tTvHSpuFDi4eGBlZUVOp2u1LnFx3U6HXl5eXh7e6PRaEqda2VlBYBeL7/y1hbJ1/KZS77eiJ2dXYkZY4cOHQIo1bjfysoKT0/PMj+ktba25v7772f79u03LEzm5eWV2NSiePmrKTeUkMw3Y6Zc86zValm5ciWBgYHcc8897N+/v9xzfXx8cHFx4fz58+Tn5wOGT1sefPBB7rvvPv744w/A8EPowQcfZM2aNTf9tKYsf/zxB5MnT+btt99m6tSplXquKdc8V+a9NWvWDDBUvq9/H2PGjMHf39+4LGLgwIG0bt26xNTNv//+m7lz5zJp0iSef/554/GJEycSGRlpnMZZU9cUNUvytXySr3DlyhVGjRpV6v288MILBAYG8vDDD1f4k0pRfZKv5avL+frFF1+watWqEjE2aNCAb7/9lqVLl/L333+bbImJMB3J1/JZYr56enqWOWvlqaeeorCwkMOHDwOGn5vJycnce++9vPXWW8YZlw4ODtx1112cOnXKuNzx7NmzaLVaRo8eXaKX08MPPwzAkSNHbvr+hWlIvpbPXPJVp9Ph5OTE1atXS1yzZ8+edOzYscTuidu3bycuLo5HH32UDz/80NgnbOzYsej1ev79999SsY0YMQI3N7cyd/YsT4sWLZg4cSJr1qwhLCysws+rCJN1u6+royK7Wdx///0ljhfv7jNmzBjjsW3btinHjx9X5T3MnTtXURRF+fvvv5VHH3201Lj+3LJ2o9BqtcrevXuV1NRU5c0331SeffZZ5fjx40pKSorSqlWrmz6/vLF8+XJFURRl7dq1yvPPP69MmTJF+f3335Xnnnuu1u5NZd5beHh4qR0y/P39lfj4eCUsLEyZPHmy8sorryiJiYnK0aNHS+08U7wjzaJFi5SnnnpKWbNmjaIoivLwww/X+DXry5B8lXwtHuaYr/8dshuj5Kvkq2HUVr7+d9xoN8bHHntMef3115UPPvhAURRF2bJli/L6668rr7/+eqldpOrDkHyVfC0e1cnXuXPnKkFBQcqsWbOU8ePHKy+//LJy4MABRVEUZf78+SWu+dprrymKoiiHDh1SpkyZokyfPl0JDQ1VFEVRHnnkEeN57u7uSnR0tJKdna3MmzdPmTBhgvL1118reXl5yvHjx0vsOFhfhuSr5Gvx+G++uri4GHdznDZtmvL0008rCxYsUNLT05WEhASlRYsWJZ7/+OOPK4qiKAcOHFAmT56sfPLJJ0pOTo6yY8cORavVlortt99+U7KyshRnZ+dy4w8NDVXeeecd5cknn1Tee+89JSEhQQkPD1d8fX1Nfa9q/wvX0kZd+GZRvG1sea4/t7xkd3V1VRYvXqzEx8cr6enpyrZt25Tu3buXeq3ffvtNycjIUFxcXG4al1arVWbMmKGcPHlSyc7OVuLi4pS1a9cqXbt2rdX7U9H3VtYPd0Bp166dsmHDBiU9PV1JSkpSVqxYoTRo0KDUeRqNRnnllVeU8PBwJTs7Wzl+/HiJH9Y1fc36MCRfK/c1Lflau/n63yHFLslXkHyF2s3Xsr6eyip23ej/bb9+/VT5elNzSL5W7mta8rXsfB08eLCyevVqJTIyUsnJyVFSUlKUXbt2lfgauX48/PDDyv79+5WkpCQlIyND2bdvn3LfffeVOs/X11f57rvvlPPnzyvZ2dlKVFSU8s033ygeHh6qfK2pPSRfK/c1XZ/y1crKSpk7d64SEhKiXL16VcnJyVHCw8OVxYsXl1vse+ihh5QjR44oWVlZSkxMjPLFF18ojo6Opc5zcnJSMjMzld9///2Gsf/000/KpUuXlOzsbCUyMlJZuHCh4uXlVRP3qfa/cGXU7REbG6t88sknqschQ4aMmw/JVxkyLGdIvsqQYTlD8lWGDMsZkq91c2iK/iCESbRr1459+/bRrFkzEhMT1Q5HCHEDkq9CWA7JVyEsh+SrEJZD8rXukmKXEEIIIYQQQgghhKgztGoHIIQQQgghhBBCCCGEqUixSwghhBBCCCGEEELUGVLsEkIIIYQQQgghhBB1hl7tANTg6+tLWlqa2mEIYRacnJyIjo5WO4xySb4KcY3kqxCWw9zzFSRnhbieuees5KsQ11QkX+tdscvX15eoqCi1wxDCrPj5+ZnlD3fJVyFKk3wVwnKYa76C5KwQZTHXnJV8FaK0m+VrvSt2FVfD/fz8pDIu6j0nJyeioqLMNhckX4W4RvJVCMth7vkKkrNCXM/cc1byVYhrKpqv9a7YVSwtLU2+UQhhISRfhbAckq9CWBbJWSEsh+SrEBUnDeqFEEIIIYQQQgghRJ0hxS4hhBBCCCGEEEIIUWdIsUsIIYQQQgghhBBC1Bn1tmeXEEIIIYQQQgghLJe9vT2enp5oNBq1QxEmoCgKCQkJZGZmVvtaUuwSQgghhBBCCCGExdBoNIwbN47+/furHYqoAdu3b2fp0qUoilLla0ixSwghhBBCCCGEEBZj3Lhx9OvXj5UrV3L69Gny8/PVDkmYgF6vp02bNowePRqA77//vurXMlVQQgghhBBCCCGEEDXJwcGB/v37s3LlStauXat2OMLEzp8/D8BDDz3EL7/8UuUljdKgXgghhBBCCCGEEBbBw8MDgNOnT6sciagpxf9vPT09q3wNKXYJIYQQQgghhBDCIhQ3o5eli3VX8f/b6mw8IMUuIYQQQgghhBBCCFFnqFrs6tu3L6tXryYqKgpFUbjnnntu+px+/fpx6NAhsrOzCQsLY8yYMbUQqRBC8lUIyyH5KoTlkHwVwnJIvgoBS5cu5a+//lI7jJtStdjl4ODA0aNHee655yp0fpMmTVi7di3btm2jS5cuzJs3j++++4477rijhiMVQki+CmE5JF+FsBySr0JYDslXUZ8EBASgKAqdO3cucXzKlCmMHTtWnaAqSTGHoSiKcs8999zwnI8++kg5fvx4iWM///yzsn79+gq/jpOTk6IoiuLk5KT6e5YhQ+1R1XyQfJUho/aH5KsMGZYzzD1fqxOjDBmWPpq19FdeePMpZfRT13KtKvkg+areCAgIUH744QclICBA9Vjq8ggICFAURVE6d+5sVv+PK5oPFtWzKzAwkM2bN5c4tnHjRgIDA8t9jrW1NU5OTiWGEKLmSb4KYTkkX4WwHFXJV5CcFfWTl5cLw4d35+N5k9hzZBHJGX9x7uzXzJs1ihkzH6zx15d8Ff+1bds25s+fz8cff0xiYiIxMTG8/fbbJc5p1KgRq1atIi0tjZSUFFauXEmDBg3KvWbxDKwHH3yQnTt3kpmZSVBQEC1btqRHjx4cPHiQtLQ01q1bV2J3Q41Gw5tvvklERATZ2dkcOXKEoUOHGh+/ePEiACEhISiKwrZt24DSyxitra2ZP38+cXFxZGVlsWvXLnr06GF8vF+/fiiKwsCBAzl48CAZGRns2bOHVq1aVete3oxFFbt8fHyIi4srcSwuLg4XFxdsbW3LfM6rr75KamqqcURFRdVGqELUe5KvQlgOyVchLEdV8hUkZ0Xd5+rqwKBBnZk58wH+/OsNImN/JO7K/7F23Tu8NGU4gV38cLHXU6hATGoh4Rev1HhMkq+1y9rOVpVRWWPGjCEjI4PevXvz8ssv89ZbbzF48GDAUID6+++/cXd3p1+/fgwZMoRmzZqxcuXKm1733Xff5f3336dbt27k5+fz008/8cknnzBlyhT69u1LixYtmDVrlvH8KVOmMGPGDF588UU6derExo0bWb16NS1atACgZ8+eAAwaNAgfHx/uu+++Ml/3k08+4f7772fMmDF069aNc+fOsXHjRtzc3Eqc98EHHzBjxgx69OhBfn4+33//faXvXWXoa/TqZmD27NnMmTPH+HcnJyf5ZiGEmZJ8FcJySL4KUZLOygq9lRU5mZlqh1ImyVlRlzg42NKtW3N69GhBj54t6dGjJS1b+pY6T1EgKUdHbIaG46ei2fFvMGt/Wk/kuYu1H3QlSL5WnrWdLbODtqny2q/2GkBuVnaFzz927Jix6HTu3DkmT57MoEGD2Lx5M4MGDaJjx440bdqUyMhIAJ544glOnjxJjx49CA4OLve6n332GZs2bQJg/vz5/PLLLwwcOJC9e/cCsGTJkhK9tl588UU+/vhjYyHtlVdeYcCAAUydOpXJkycTHx8PQGJiYqmibTF7e3ueffZZxo4dy4YNGwCYMGECQ4YM4amnnuKzzz4znvv666+zc+dOAD766CPWrVuHjY0NOTk5Fb53lWFRxa7Y2Fi8vb1LHPP29iYlJYXs7LK/uHJzc8nNza2N8IQQ15F8FcJySL4KUT6NVouThzvOXp64NPDE2csL5waeuDQo+q+XJ85enji6u7FjxS+s/mR+jcZTlXwFyVlhuWxsrOjSpRk9erSge4+W9OzZkrZt/dFqSy9SupqrJS5LT1yWnrMXr7Jtwz6ObNnNuYNHyK+hX6hvRPJVlOXYsWMl/h4TE2Ncpti2bVsiIiKMhS6AU6dOkZycTNu2bW9Y7Lr+usXFqePHj5c4Vvw6Tk5O+Pn5sWfPnhLX2LNnT6mG9DfSvHlzrK2tS1wnPz+foKAg2rZtW258MTExADRo0ICIiIgKv15lWFSxa9++fYwYMaLEsSFDhrBv3z6VIhJClEfyVQjLIfkq6it7F2dcvL1w9vIyFK2uK2I5e3ni4uWFk6c7Wp3uumcp2GgVrHUKNjrDn210hdjosknv1IjVNRyz5Kuoy/R6HR07NjHM2CqatdWhQwBWVqV/bU3N1XAl24q4LD2xWXqirhYSuj+EU7v2cnr3PhIuR5bxCrVL8rX25GZl82qvAaq9dmXk5eWV+LuiKGUWbyvr+usqilLmMVO8TlWVFV9NxqNqscvBwcG4HhSgadOmdO7cmaSkJCIiIvjwww/x8/NjzJgxACxatIjJkyfz8ccf8/333zNw4EBGjx7NyJEj1XoLQtQbkq9CWA7JV1Hf2djblzH7ygsXby9cG3jSoKEnXj7uONjorhWtdAo22sLr/lx8PA1rrYI1+Ya/W2nQajRlvu7l9PBKxyr5KuorrVZL27b+9OjR0ljY6ty5Kba21qXOTUnPJTZLT7LiQGyWFVey9GTka0mIiOT07v2c2rWX8wcPk5dds7O3JF/NW2WLTubo1KlTNGrUCH9/f+PsrrZt2+Lm5sbJkydN9jppaWlERUXRp08f49JCgD59+hAUFARgnF2oK/GBT0nnz58nJyeHPn36cPnyZQD0ej09e/Zk3rx5Jou3KlQtdvXo0YPt27cb/z537lwAli1bxrhx42jYsCGNGzc2Pn7x4kVGjhzJ3LlzmTJlCpGRkYwfP964LlUIUXMkX4WwHJKvoq7SW1vToJEPfk0b4RvQEB9/b7x9PfH0dsPD0xVXNydcXO1xsNEXFaoK/1O4KsTK+CFyeiVfXVM0DLKycrh6NYOrVzNISTH899Spyi/FkHwV9YFGo6F5cx969mxlLGx169YcB4fSzb2vpmRyLiKFhDxbsl18ScizJS1PC2jIz83l/MHDnNq9n9O79xF/8XKtvg/JV1HTNm/ezPHjx/nxxx+ZOnUqer2ehQsXsn37dg4dOmTS1/r000959913OX/+PCEhIYwbN44uXbrw6KOPAnDlyhUyMzMZNmwYkZGRZGdnk5qaWuIamZmZfP3113z66ackJSVx+fJlXn75Zezt7VmyZIlJ460sVYtdO3bsQFPOJ2MA48aNK/M53bp1q8mwhBBlkHwVwnJIvgpz5uRkh4uLA66uhuHi4oCbuxPefl54N/TE09sdd08X3NydcHG2x8nJFkd7K+ytddjoQX/TFQ/5RePG0tKyiopV6UUFq0yuXk0n5T8FrOsfu764lZt789eoCMlXURc1buxFz6LG8T16tqR79+a4ujqWOi89PYsjR8I5H51OMo4oDZujcW8ENAYrIBMSI6M5vXsfp3bt4/zBQ6rO3pF8FbXhnnvuYcGCBezcuZPCwkI2bNjA888/b/LX+eKLL3BxceHzzz+nQYMGnDx5krvvvptz5xoc0EcAAHpHSURBVM4BUFBQwAsvvMBbb73FrFmz2LVrFwMGlF4q+sorr6DValmxYgVOTk4EBwczdOhQrl69avKYK0MDKKpGUMucnJxITU3F2dmZtLQ0tcMRQlXmng/mHp8Qtcnc88Hc4xOmodNpcXa2LypUOeLiYl+iaGX883WPuXs44+rmhKuLPY4ONuh01e/PUagoZOUqZGTlkZ6RQ0pqFleT00lKTCHhylXiYxNJjL9aomB1fQErNTWTgoJCE9yRsllCPlhCjMIy+Pi4GQtb3Yt6bTVo4FrqvKysHEJCwjkUHMbp8CRS9W44tGhH0+5dsbKxMZ6Xn5vLhUMhnNq9j9O79nEl/FKNvwdzzwdzj6+2BQQE8N577/Hmm29y6VLNf32I2nej/8cVzQeLalAvhBBCCCFMr3//jvTo0cJYwHIpo5jl6uqAk5O9SV6voBByCjXkFGjIKdCSU6ghOx9D4Soli6tX00lKTCUhLpkrsQnERV0h5nIskeGRxEVeIT0929jcVghRezw8nI3N44t3RvTz8yh1Xl5ePseOXeRQ8DkOHgwj5Pglcuw9aRnYmzZ9h9B8gH+J85OiYzi9ax+nd+8j7MAhcrOyaustCSHqKCl2CSGEEELUU25ujnyx4BkefbR/pZ6XWwC5hVpDser6olWJv2vIKTonOSmNhCvJxMcmEBsZT0J0HKnxCaRcSSA1Pp6UK/FkJKegFNbcbCshROU4O9vTrVtzevZsaSxsNW3qXeq8goICTp6MIDj4HMEHwwgODuPYsYs4NvCmbd9A2vQdxoMTu2Fle93srbw8wg8dNe6cGHfhYi2+MyFEfSDFLiHqME9PZ1q29KVFi4aG/xb9+b1Zv7BmTZDa4QkhhFDRyJE9+XbxZBo2dKegUCE0Jp8cjQ0FepsSharcosJV9nV/Lyxq1J6ZmkrqlQRj4SrlSjyp8QmkXoknJT6B1CsJpCUkUpBvmv5WQoiaYW9vQ5cuzYoKWy3o2bMlrVv7l3numTOR1xW2znHkyHkyM3PQ29jQvEdX2g66k0FvB+IV0KjE85JjYo07J547cIiczMzaeGtCiHpKil1CWDgPD2datiwqZrXwpYXxzw3LbAQK0KFDgBS7hBCinnJxcWDuvAmMHTsIgKiELHak+BCXZWU8Jzcru2Th6koCKfHxJQpbqfHx5GXnqPU2hBBVZG2tp1OnpkV9tgw7I7Zr1widTlfq3PDwOIKDw4yFrcOHz5OSkmF83MPfj6733EWb226hRc/uWNtd212xIC+fC4dDjAWuuPPhtfL+hBACpNglhEVwd3eiZUtfYxGrxXV/dnMru6BV7PLleMLCojkXFs25czGEhUVz+PD5WopcCCGEORk6tBuLv3sef39PCgsLWb0rgsue3cjNLeD3WR9w6dgJUuITyE5LVztUIYQJ6PU62rVrRM+erYr6bLWgU6cmWFtblTo3KiqxRGHr0KFzJCSklryetTWtb+1Nm9sCaXPbLTRoGlDi8atxVwxLE3ftJ+zAQXIyZPaWEEIdUuwSwky4uTkaC1otW/rSvGjpYcuWvjctaEVEFBe0Yjh3LpqwMENR68KFWLKzc2vpHQhxjUaj4YEH+tCsmY/aoVi8fftOs3PnCbXDEBbOycmOzz57kglPDwMgLCyaL/84TZM7R4MCv7z1Pof/2ahylEKI6tBqtbRq5UuPov5a3Xu0oGvXZtjZ2ZQ6NyEhlYMHw4w9toKDzxETk1Tmdd39GtK27620uS2QFr1Kz94KDznG6V17ObV7P7Fh8oGqEMI8SLFLiFrk5uZo7J/134KWu7vTDZ8bERHPuXMxnAuLNhS2imZpnT8vBS1hXpo29WbJ91Po37+j2qHUCR9+8KsUu0S1DBzYiSXfTyEgoAEAX8xfzZ/747nn9ZkArPp4nhS6hLBAzZr50KNHC3r2bEX3Hi3o3r15mTumpqRkGGZqBYcZClzB57h06Uq519VZWdG8Rxfa3BZI2763lpq9lRIXz+nd+zi1ex9h+w+SnZ5RzpWEEEI9UuwSwsRcXR1o0aJ4hlZDY1P4li198fBwvuFzIyMTDAWsokJWcVHr/PlYsrKkL4owf888M4xPP3sSR0c7MjKy+f33PRTkF6gdlkU7dOic2iEIC+XgYMsnn4zj2UkjALhwIZYnx80nSe/BmDkfALB58XJ2/d9KNcMUQlTSZ589ydhxg8v8oDQjI5vDh89zKPhcUWErjHPnYlAU5YbXdPP1MRS3bgukRe8e2NjbGR8ryM/n4tHjnN61j1O79hFzVn4uCSHMnxS7hKgCFxeHMnc5bNnSF0/PGxe0oqISyyloxZCZKQUtYZkaNfLiuyXPM2RIVwB27DjBk+PmER4ep3JkQtRPt9/ege+XTjEuJV741VpmzlyGT9u2TFj0LlqdjgN/rGb9F4tUjlQIURnt2jVm+ox7AcjJySMk5EKJwtapU5EUFhbe9Do6KyuadetMm76BtLktEJ/mTUs8nhqfYGwsf3b/QenjJ4SwOFLsEqIczs72pQpaxX/38nK54XOjoxMJC4sp0RTesORQClqi7nnyySHMmTseZ2d7MjNzeO3V5SxY8M9NP0UWQpienZ0NH374OFOm3gPApUtXGP/UF2zZchS/Nq14csGnWNnYcHzLDn5/7xOVoxVCVNaECXcAsGZNEA/cP5u8vPwKP9fVx5s2fQNp2zeQlr17YGN/bcljYUEBF0OOc3r3fk7v3kfU6bMmj10IUXv69evH9u3bcXV1JSUlRe1wVCHFLlGvOTnZlbvLYYMGrjd8bnR04nU9tIobwxt6aGVkZNfOGxBCRX5+Hny7+HmGD+8OwN69pxg3dh5hYdEqR2bZtHodDZo2wbd1C/xat+Lkzj2cP3hY7bCEBQgMbMPSZVNp1coPgO8Wb2TGjCWkpWXh0cifCYvmYuvowLmDh/m/l9+isECWGAthSWxsrHj8iYEAfL1w3U0LXTq9nqbdOht3TmzYsnmJx1MTEjm9ex+nd+/n7L4gslLTaix2IUTN2bZtGyEhIUybNs14bO/evfj4+NTbQhdIsUvUA05OdkU9tBrSokXxDK2GtGjREG9vtxs+NyYmqcym8OfOxUhBS9Rrjz8+gPlfPI2rqyPZ2bm8+cb/MXfu3xVaOiGusXN2NhS12rTCt3ULfFu1xLt5E/TW1sZzCgvypdglbsjGxor33nuM6TNGodVqiYxMYML4BWzcaPi6cfL04Olv5uLk4U7U6bMsfeFl8nNlYxMhLM3999+Ku7sTly5dYdOmI2We4+rdwLg0seUtPbB1cDA+VlhQwKVjoYbm8rv2En06TGZhC1FH5eXlERdXv9uJSLFL1AmOjnbl7HJ484JWbGyysYB1fVHr3LkY0tOzaukdCGEZvL1d+ebbydx9d28AgoLOMm7sPE6dilA5MvOm0WrxaORnKGq1aoFv65b4tm6Bq493mednp2cQfSaM6LPnOHew7F9ohADo2bMly5ZPo23bRgAsW7aFaVMXk5Ji2B3N1smRCV/PwbORPwkRkSyeOE12ThPCQo2fMBSA75f8a/xwSavX0bRLJ9r2vZU2fQNLzd5KS0wyLk08szeIrNTUWo9bCHHNtm3bOH78OAUFBYwZM4bc3FzeeOMNfvrpJ7788kseeOAB4uLieP7559mwYQMAt99+O59++imdO3cmKSmJ5cuX88Ybb1BQUMDSpUvp378//fv3Z+rUqQA0adKEJk2alFrGeN999zFr1ixatGhBTEwMCxYsYM6cOcbYwsPD+fbbb2nRogUPPvggycnJvP/++yxevLjW75MpSLFLWJSWLX3p3LlpqWWHPj43LmjFxSUTFhZTqjH8+fMxpKXVn4KWcwMvPBv7k3ApgtT4BLXDERbmf/+7nQVfPoOHhzO5uXm88/ZPfPrpnxQUyGyu69nY29OwVQvDTK3WLfFt1QKfls1L7Gx1vcTIKKLPnDMUt86cI/rMWZKiYmo5amFprK31vP32w7w88350Oh0xMUk88/SX/PPPQeM5ehsbnvziE/zatCI1IZFvn55KWmKSilELIaqqVSs/+vfvSEFBAT/9to/e991Fm9sCaRXYC1vH62ZvFRZy+Xgop3bt4/SufUSdOiOzt0S9YW9vo8rrVrYn85gxY/jkk0/o1asXDz30EF9//TX33nsvf/31Fx9++CHTpk1jxYoVNG7cGDc3N9atW8eyZct44oknaNOmDYsXLyY7O5t3332XKVOm0KpVK06cOMFbb70FQHx8PE2aNCnxmt26dePXX3/lnXfeYeXKldx6660sXLiQxMREli9fbjxvxowZvPnmm3z44Yc88MADfP311+zYsYOzZy2vj58Uu4TZ02g0DB/enekzRjFwYOdyz7ty5WpRESuG80X9s4p7adWrgpaXJ54BjfBs5I9XgD+ejRvhGdAID38/4y/bv74zmwN/rFY5UmEpvLxc+GrhszzwQB8ADh8+z9gxczlx4pLKkanPzdenaJZWS+OMLc/G/mWem5edQ0zYeeOMregzYcScPSezbESlde3anGXLp9KxYxMAfvxxOy88/w3Jydd2S9PqdDz+ybs079GVrLR0Fk+cRmJklEoRCyGqa/x4Q2P69esP88AnH9OgaYDxsfSkZE7v2c/pXfs4s/cAmSkye0vUP/b2NqRn/K7Kazs6PFCpgtfRo0f54IMPAJg9ezavvPIKCQkJfPfddwDMmjWLSZMm0alTJ+666y4iIiKYPHkyAGfOnMHX15ePP/6YWbNmkZqaSm5uLpmZmTdctjh9+nS2bNnC+++/D0BYWBjt2rXjpZdeKlHsWrduHV9//TUAH3/8MdOmTWPAgAFS7BLClGxsrHj88QFMmz7KuDwjP7+AoKCzhqWG/+mhlZqaqXLEtcfJ0wOvgEaGQlZjfzwb++MV0AiPRv7lzh4BKMjPJzk6FuQTPlFB999/Kwu/noSXlwt5efm8/95KZs/+jfz8+tXYWm9jg0/zpsblh76tW9KwVXPsnZ3LPD8lLp7os2HXzdgKI/5SBIr0NBPVYGWl5/XXR/Pa66PR63VcuXKVZycu5K+/9pU694G3ZtJhYD/ycnL4/oWXiT4TpkLEQghTsLbWM2bsIAC2HIql8f3Dybiawu4ff+XUrn1Enjwts7eEsCDHjh0z/rmwsJDExESOHz9uPFZctGrQoAFt27Zl376SP+f37NmDk5MT/v7+RERUrJVI27Zt+fvvv0tdZ+rUqWi1WuPS6OtjA4iNjaVBgwYVf3NmRIpdwux4ebnw7LPDmfTcSOOOiCkpGSz+diMLFvxDRES8ugHWEicPdzwDGuFVNDOruKjl2di/xFbR/1VYUEBSdAwJlyJJuBxBwuVI4i9HkHApgqToGArrWZFCVI27uxMLvnyGhx/uB8CxY+GMHTOPkJALKkdW85w8PUoUtXxbtcCrSWN0+tI/Mgvy8om7EF6iqBV9JoyMq/V35xtRMzp2bMKy5VPp2tXQj+e333bz3KSvSUgoPYNjxJRn6X3fXRQWFPB/L7/FhWDp+yaEJbvnnlvw8nIhKiqRwqZdAdj9469sWvS9ypEJYT4yM3NwdHhAtdeujLy8vBJ/VxSl1DEArVZbrbiqoqzY1IjDFKTYJcxG69b+TJ9+D48/MRBbW8NOZJcuXWH+vNUsWbKpTi5FdPJwNxSwrpul5dW4ER6N/UrsnvNfhQUFJMfEknApgvjLkSRcjiz6cwTJUTEU5N94K2ohbuTuu3uz6Jvn8PFxIz+/gI8/+p1Zs3656Rbnlkar19GgaRPjLojFxS0nD/cyz89Ivmooap0NI+q0oah15cJFyTdRo3Q6LTNnPsBbb/8Pa2srEhNTeW7S1/z66+4yz7/98f8xaPwTAPz27sec2LqzNsMVQtSA8RMMSxh/+zuYJrc/SkF+PvulHYUQpVS26GQJTp06xf3331/iWJ8+fUhNTSUyMhKA3NxcdDrdTa/Tp0+fUtc5e/Zsnd1NXYpdQnX9+3dk+ox7ufPOnsZjQUFnmfP5X/zxx16Lb37t6OFmmJ3V+Fr/LM9Ghhla1zcU/S9jQauomBV/KaLozxEkRUbLL9jC5FxdHZg3/2meeGIgACdPXmbsmHkEB1v+8ic7Z+drM7WKils+LZqit7YudW5hYSEJlyKIPlNU1Cpajph6pX7MKhXmo23bRixbPo2ePVsCsGrVfp6d+BVxcVfLPL/bnUO55+UpAKydt5Cgv9bUVqhCiBrSrJkPQ4Z0pbCwkLNZrrQETmzdKRsNCVFPLFy4kKlTp7JgwQK+/PJLWrduzbvvvsucOXOMy5cvXrxI7969CQgIID09naSk0pvRfP755xw8eJA33niDlStXEhgYyOTJk5k0aVJtv6VaI8UuoQq9Xsfo0bcxbfooundvARh+wVy9Oog5n//F7t0nVY6wchzd3fBs3AivAH88imZnFc/UumFBq7CQ5OhYEiOuFbPiL0WQGBFJYmQ0BWVMZxWiJgwf3p1vFz+Pn58HBQUFfP7ZX7z99k/k5FjW16BGo8GjsX+JopZv6xa4NfQp8/zs9Axizp4jyrgE8Ryx586Tl133PhkUlkOr1TJjxihmvfcYNjZWJCen88Lz3/Djj9vLfU6bvoH8b9YbAOz44We2LllRS9EKIWrSU08NAWDzlmM07jsAgD2//KFmSEKIWhQdHc2IESP49NNPOXr0KElJSSxZssTYaB7gs88+Y/ny5Zw8eRJ7e/tSOzECHDlyhNGjRzNr1izefPNNYmJieOutt0o0p69rpNglapWLiwMTJtzB8y/cRaNGXoBhuunyZVuYN+9vwsKiVY6wfA5urqX7ZxXN0rJzciz3eYWFhVyNiftP/yzDDC0paAm1OTvbM2fOUzz5lGGJxJkzkYwbO4/9+8+oHNnN2djb07BlcxpeN2OrYcsW5W7SkBgZTYxxCaJhOWJyVIw09RVmpVUrP5Yum0pgYBsA1q49yNMTviQmpvSntMUCOndgzOcforPSE7xmPWs+W1Bb4QohapBer2PsuMEA7DyRjMcQe+IuXOT8wcMqRyaEqKoBAwaUOta0adNSxzQajfHPO3fupHfv3uVeMywsjFtvvbXEsUuXLpW4BsCff/7Jn3/+We51yoqja9eu5Z5v7lQvdk2aNImXXnoJHx8fjh49yvPPP8/BgwfLPX/KlCk8++yzNG7cmISEBH7//XdeffVVcnLkU3hzFhDQgClT7uap8UNwcjI0V4+NTearL/9h0aINJCaaxxbJDm6uxuWGXgGN8GzkZ+ynddOCVmycsXdW8XLD+EsRJEXFkJ+bW4vvomZJztYdgwd34bslL9C4sReFhYXMn7ea119fQXa2+X29ujX0MRSzihrG+7VphWdj/zLPzcvOIebceaJPhxF91tA4PubsObLTM2o5avVJvloOrVbLCy/cxQcfPo6dnQ0pKRlMm7qYZcu23PB53s2bMv6rz7G2s+XUrr2sfOsDKeBaKMlX8V933tmThg3diYtLprBZdwD2rpRZXeZA8lUI86dqsWv06NHMmTOHiRMncuDAAaZOncrGjRtp3bo18fGle6M8/PDDfPTRRzz55JPs3buXVq1asWzZMhRFYcaMGSq8A3EzPXu2ZPqMe3nggVuNTfNOnLjEnM//4qefdpCbW/t9pxxcXa71zQpohFfja0sP7ZydbvhcQ1N4w+ysxOt2OUyMjK5TBa3ySM7WDY6Odnz66TiemTgcgHPnonly3HyzWD6st7bGp0VTfFu1pGFrQ1GrYavm2Ds7l3l+ypV44/LD4p0QEy5HUlggu45KvlqO5s0b8v3SKfTt2x6AjRsPM2H8AiIjb9yTx62hD09/Mw97F2cuhhznhxmvy467FkryVZRl/IShAKzacAKv7veSk5lF8Or1KkclJF+FsAyqFrumT5/O4sWLWbZsGQATJ05k5MiRPPnkk3z88celzr/11lvZs2cPP//8M2CYmvfzzz/fcEqfqH1arZa77urF9BmjjP9wB9i06QhzPv+LTZtqfgt0exfnokJWo+t2OzQsPSzvl+Zi1zeFT7gUQUJRP63EyGjy6/mnL5Kzlq9//44s+X4KTZt6A/DlgjW88spyVXavcfJwv9Zbq3VLfFu3xKtJY3T60j+aCvLyibsQfq2oVTRjKyP5aq3HbSkkX82fRqNh0qQRfPTxWBwcbElLy+TFGd+zePHGmz7Xwc2Vp7+Zh6t3A2LPXeC7514kNyu7FqIWNUHyVfxX48ZeDBvWDYBzeR74AofXbqyXs5TNjeSrEJZBtWKXlZUV3bt3Z/bs2cZjiqKwefNmAgMDy3zO3r17eeyxx+jZsycHDx6kadOmjBgxghUrym/Cam1tjY2NjfHvTk43nrkjqs7e3oaxYwcxZeo9tGzpC0Bubh4//bSTuXNWcfz4RZO+np2zM14B1/pmeQVcawpv73LjglbxksPr+2clXI4kISKq3he0ylMbOSv5WnPs7W346KMxTH7+LgAuXozjqSe/YNu2YzX+2lq9jgZNAoqKWq2MxS0nD/cyz89IvmrsqVVc3Iq7cFH621WC5Kv5CwhowJLvX2DgwM4AbN16lKee/IJLl67c9Lk29vaMX/g5DZoGkBQdw7cTp5KVah7tAETlyb+JRVmefHIIWq2WHTtP4t3d0ItHGtOrT/JVCMuhWrHL09MTvV5PXFxcieNxcXG0adOmzOf8/PPPeHp6snv3bjQaDVZWVnz99dclvtn816uvvso777xjytDFf/j4uDF58p08M3EYHh6GIlNSUhrfLFrPl1+uvWFT3YrS6fW0DOxJp0H98WnZHK+ARjcvaMVd+U//rEgSIiJJjIiUndaqoDZyVvK1ZvTp046ly6bQooWhCP3NovW89NJS0tOzauT19NbWtOzdg3b9b6Nxh3b4tGiK3tq61HmFhYUkXIoouQzxbBgpcaWXAIjKkXw1b08/PYxPPxuHk5M9GRnZzHx5KV9/vb5CvbZ0VlaMnTebxh3akZ6UzLfPTJWcsXDyb2LxXzqdlnFPGhrT7wlLx663nvDDR4k5e07lyITkq3ko/nmpL2M1gKgbiv/fVqcPqUV9dfTr14/XXnuNSZMmceDAAVq0aMH8+fN54403Smy9eb3Zs2czZ84c49+dnJyIioqqrZDrtA4dApg2fRSPPNIPGxsrAM6fj2He3L9ZunRztZdFafU6WvbuSZehg+gw6PYylx+mxMUb+2YlRBiWHcZfjiQpMkqWc5iByuas5Ktp2dpa88EHjzNl6t1otVoiIuIZ/9QC/v3X9EuJ7V2caXt7HzoM6EvrPr2xsbcv8Xh2egYxZ88Zlx9Gnwkj9twFyVMzIvla8/z9PfluyQvccYdhZ6OdO0/w5Lj5XLgQW6Hna7RaHv7gTVoF9iInM5PvJs0g/uLlmgxZmCn5N3HdNmxYdxo18iIhIZWCpj0B2LOy/B3UhHmTfDW9xMREANq0acP58+dVjkbUhOLicULCjfuX3ohqxa6EhATy8/Px9vYucdzb25vY2LL/0ffee++xYsUKlixZAsCJEydwcHDg22+/5YMPyt59KDc3l9x60Di8Ng0Z0pXpM0YxdGg347E9e04y5/NV/P33AQoLC6t8ba1OR4te3YsKXP1wcHUxPpYan8DRTVs5H3yEhMsRJEZIQas21UbOSr6aTu/erVm2fCqtWxt2LPx+ySamT19CamqmyV7D3d+XDgNup/2AvjTt2qlEr62rcVcI3baLsP0HiT5zjqSoaNkhrhZJvpqfceMGM2fueFxcHMjKyuG1V3/giy/WVCovRr0yja7Dh5Cfl8eyqa8QEXqqBiMWtUX+TSz+a/yEOwBYt+0sjm2HkZaYxLF/t6kclQDJV3ORkZHB9u3bGT16NACnT58mP7/2Nz4TpqfX62nTpg2jR49m+/btZGZW/XcX1YpdeXl5HDp0iEGDBvH3338DhkatgwYN4ssvvyzzOfb29qUKKQVFO25pNBr5RaoGWVvrefjhfkybfg+dOjUFDPf+zz/3MefzVRw4cKbK19bqdDTv0ZXOQwfRaXB/HNxcjY8V/3AP2bCZ8CPHUKpRSBPVIzlrGWxsrHjnnUd48aV70el0REcn8vSEL1m3Lrja19ZoNPi3a0P7gX3pMOB2GrZsXuLx6DNhnNi2i9BtO4k8WfXvCaL6JF/NR8OG7ny7eDIjRxpmZ+zbd5pxY+dx9mzlPqEfMvFJbnv4AQoLC/n51Xc5u6/8Le6FZZF8Fdfz9XU3fr8I1/jgDBz4c430rTQTkq/mY+nSpQA89NBDKkciasL27duN/4+rStVljHPmzGH58uUEBwcTFBTE1KlTcXBwML6p5cuXExUVxWuvvQbAmjVrmD59OkeOHDFOAX3vvfdYs2ZNtWYTifK5uTkyceJwJj9/Jw0bGppJp6dnseS7Tcyfv4aLF+NucoWyabRamnXrTJdhg+k4uH+JRtVpiUkc37ydkI1buHAoRApcZkRy1rx1796CZcun0b59YwBWrNjGlBe+4erVqu/cpLOyokWv7nQY0Jf2/fvi4u1lfKwgP58Lh0II3baL0O27SIqKqfZ7EKYj+aq+Rx/tzxcLnsHNzZGcnDzeevP/+PzzVZW+n4Gj72XYcxMAWPXRXEI2bqmJcIWKJF9FsXHjBqPX69gXdA7nNrdQWFjI/t9WqR2WuI7kq3lQFIXvv/+eX375BU9PTzQajdohCRNQFIWEhIRqzegqpmqx69dff8XLy4tZs2bh4+NDSEgIw4YN48oVw05EjRs3LvEN4P3330dRFN5//338/PyIj49nzZo1vP7662q9hTqrefOGTJ16N2PHDcbBwRaAyMgEFnyxhm+/3UhKSuV/edZotTTt2skwg2vIAJw9PYyPZSRf5diW7RzduJXzBw9TWPRphzAvkrPmycpKz5tvPsQrrz6IXq8jLi6Zic8s5O+/91fpenbOTrTtG0j7AbfTps8t2Do6GB/LzsjgzJ4DnNi2k1M798kOcGZM8lU9DRq4suib5xg16hYADh4MY+yYuZw6FVHpa3W6YyD3vf4iAJu+XsKen383aazCPEi+CjDM8nlqvGEJ44ELOdABTu3YQ3JMxfr6idoh+WpeMjMzuXxZ+leK0jRAvZo36eTkRGpqKs7OzqSlpakdjtnp06cd02eM4p57eqPVagE4cuQ8cz5fxa+/7iYvr3JroTUaDQGdO9JlmKHA5dLg2qyQzJRU4wyucwcPUZgvBa7aZu75YO7xmYPOnZuybPk0Onc2LC/++ecdvPD8tyQmVq4I5dbQh/YDDMsTm3Xvgs7q2mchKVfiCd2+m9BtOzkXdJh86SGhCnPPB3OPr7aMHn0bX371LJ6ezuTm5vHuOz/zySd/UFBQ+U/vW97Sk/ELP0dvZcXelX/yx/uf1kDEoiZYQj5YQoz1zR13dGXDxlkkJ6ez+Iw7Vo7OfDtxGmf2VO3DK1Fx5p4P5h6fELWpovlgUbsxipqh02m5775bmT5jFL17tzYeX7v2IHM+X8W2bccqdT2NRkPjTu3pPHQQne8YiKt3A+NjWalpHN+6g6MbtxC2P5gCaSQoRJXo9TpeffVB3njzIays9MTHp/DcpK/5/fc9Fb6GX9tWxgbzfm1alXgsJuw8odt2cWLbLiJDT0k/CSFuwtPTma8WPsuDD94GGD4oGjtmHsePX6zS9fzbtWHsvNnoraw4umkrf374uQmjFUKYo/EThgLw796LWAU0ISEikrN7D6gclRBCWCYpdtVjjo52PPXUEF6YcjdNmxp2FMnOzuX/Vmxj7ty/K73colGHdnQZZihwuTX0MR7PSkvnxNadHN24hbP7D0qDTSGqqX37xixbPo3u3VsA8Mcfe5n07ELi41Nu+DydXk/znl1pP+B22ve/rUSeFhYUEH7kGCe27SR0224SIyJr9D0IUZfce28gXy+aRIMGruTl5fPhB7/ywQe/kl/FGcueAY2Y8PUcbB0cCNsfzI+vvCP9K4Wo4xo0cOWee3oDcFnfCB2wb+Vf8mGTEEJUkRS76iE/Pw9eeOEuJjw9FFdXRwDi41NY+NVaFi5cd9NfmK/n364NXYYOovPQQbj7NTQez87IIHTbLo5u3MKZvUGy7EkIE9DptLz00n28/c4j2NhYkZSUxuTnFvHLLzvLfY6towNtbgukw4C+tLktEDtnJ+NjOZlZnNl7gNBtuzi1cw8ZVyue+0IIcHd34osFz/DII/0AOH78ImPHzOPIkfNVvqZzAy+e+WY+ju5uRISeYumUmfIhkRD1wNixg7Cy0nPk2GV0ft3Iy84haNU/aoclhBAWS4pd9UiXLs2YPmMUDz3UF6uifjynT0cyd84qVqzYRnZ2xQpSfm1aGZYoDh2IZyN/4/GczExObt9NyMYtnN5zgPycnBp5H0LUR23a+LN02VTjUuM1a4J45ukviY1NLnWuq3cD2g/oS/sBfWnesxt6KyvjY2mJScbliWEHgiVPhaiiO+/syTffTqZhQ3cKCgr4+KM/mDXrZ3Jzq748387ZmacXzcXdryHxFy/z3aQZ5JhgNyIhhHm7vjH9wYgCCIAjG/4lM0U2gRFCiKqSYlcdp9FoGDGiB9NnjGLAgE7G49u2HWPO56tYty64QtOjG7ZqYZzB5RXQyHg8JzOLUzv3GApcu/eRly2/OAthSlqtlmnT7uG99x/D1taaq1fTmTplMT/8sLXEeQ1btaDDQEP/rUbt2pR47Er4JU5s3cGJbbu4fCxUlkQIUQ0uLg7MnTeBsWMHAXDy5GXGjplHcHBYta5rZWvDU19+SsOWzUm5Es83z0whPal0MVsIUff079+Rli19SU3LItPP8O/1vb/8qXJUQghh2aTYVUfZ2lrz+OMDmDrtHtq2NRSn8vMLWLlyF3PnrOLw4ZsvsfBp0YzOQwfRZeggGjQNMB7Py87h5M49HN20lVM795CblV1j70OI+qxFi4YsXTaVPn3aAbB+/SGenrCAqKhEtHodzbp1Mczg6t8XD39f4/MKCwu5FHKcE9t2Ebp9F/EXZTtmIUxh2LDufLt4Mv7+nhQWFvL5Z3/x1ls/kpNTvWWGWr2OJz77gKZdO5GZmsq3E6eRHB1roqiFEOZu/ATDrK7twVEoXo24fOIkEaGnVI5KCCEsmxS76hgvLxcmTRrBs5NG0KCBKwApKRks/nYjX3yxhsjIhBs+37tZk6IlioPwad7UeDwvJ4dTu/ZxdOMWTu7YQ25WVk2+DSHqNY1Gw/PP38mHs8dgb29Damom06d9x4+/7KH1bbfQb3Jf2va9FXsXZ+Nz8rJzOLsviBNbd3Jy5x6ZESKECTk52TFnznjjMqOzZ6MYN3Ye+/adrva1NRoND737Ou369SEvO4clz71EbFjVe34JISyLh4cz9913KwARNoYPl/eulFldQghRXVLsqiNat/Zn+vR7ePyJgdjaWgNw8WIcX8xfw5Ilm0hLK7845dWksXEGV8OWzY3H83NzOb1nP0c3biF0+25yMqRviBA1rWlTb75fOpV+/ToAsH1nKF/8cgLPnsOZ9dwb6K2tjeemJyVzcuceQrft4uy+IJllKUQNGDSoM0u+n0Ljxl4UFhbyxfw1vP76CrKyTLNs/84Zk+lx93AK8vNZPuN1LoYcM8l1hRCW4YknBmBjY0XomRhynTuSmZJKyIbNaoclhBAWT4pdFk6j0bDk+ynG3iEAQUFnmfP5X/zxx14KCsreqtyzsb+xwOXbuqXxeH5eHmf3BhGyYTOh23eRnZ5R4+9BCGHI5WeeGcYnn47D0dGOrOx8/jmeRaT77fSd1M94XvylCEOD+a07uHj0BEph2TkuhKi+V199kA8+fAKA8+djeHLcfHbtCjXZ9QeMe5T+Yx4BYOVbH3Jq5x6TXVsIYRnGTxgKwOEYDXhC0Kp/pAeuEEKYgBS7LNwTTwxk7NhBFBYWsnp1EHM+/4vdu0+Wea6Hvx+dhw6k8x2D8G/X2ni8IC+fs/uDOLpxCye27SIrNa22whdCAE2a+rDil1fo08swszIiQ8+/kW6k2OkAuHT0hKH/1radxF24qGKkQtQfjo52vPnW/wD4euE6Xn55KRkZpps92WvUndw5fTIAqz/9gkNr1pvs2kIIy3Dbbe1o27YRGZk5XPVsC8C+X/9SOSohhKgbpNhlwRwd7fhwtuET51dmLuOzz0r/cHT3a0jnOwbSeeggGrVvazxekJ/PuQPBhGzcyvEtO8hKla2NhahN1na2tL61N89Nu58xQ5tio4e8Qtgd68DBGA1hB/YTum0Xodt3k5aQqHa4QtQ7w4d3x9bWmjNnInnuua9Neu32/W/jwXdeAWDr9yvY8cPPJr2+EMIyFM/q2nPsCvmOfpzZs5+Ey5EqRyWEEHWDFLss2GuvPUjDhu6EhUUzf/4a43FXH29jgSugU3vj8cKCAs4FHSJk4xZObNlBxtUUNcIWol5r2q0zA598nK59uzGiaS5NnAy7uEWkapj741G2/PkvZ/YckE0ghFDZvfcFAvDXn/tMet1m3bvw+Kfvo9XpCPrrH9bOXWjS6wshLIOrqwMPPtgHgEjbJgDskcb0QghhMlLsslBNm3ozbfooAF6csQR7dzc63zGIzkMH0qRzR+N5hQUFnA8+wtGNWzm+Zbvs0CaEimwdHZjw9Ry6+mrp1zADW51Cbl4Bn3/1L2+//C35eXlqhyiEAGxsrBg5sgcAf5qw2NWwVXOe/OITrGxtOLFtJ7+9+5HJri2EsCyPPTYAOzsbwsITSNG3JjkmllM796odlhBC1BlS7LJQn3z6JDY2Vvy76QgOvYfy1ocjjI8VFhYSfvgoIRs2c3zzdtISk1SMVAhRrPMdA7m7ZQHt3Aw7mx44cIaxY+Zx5owsWRDCnAwZ0gUnJ3siIuIJDg4zyTXd/Rry9KJ52Dk7ceFQCCteeovCggKTXFsIYXnGT7gDgKMJ1mCnYd+vq+R7ghBCmJAUuyxQ//4duf/+W8nPL2DO93u44413ALhwKISjm7Zw7N/tpMYnqBukEKKUxybeSzu3HPLzC3nrzRV8+umf5e6YKoRQz7333QqYbgmjo4cbT38zH2cvT6LPnmPJ8y+RnyO7rQlRX/Xq1YpOnZqSnZ3HFYcm5OfkceCv1WqHJYQQdYoUuyyMVqtl7rwJAHyzaD3unXoDsO/3Vfz+7sdqhiaEuAEPfz/u79MQyOfbJZv56KPf1Q5JCFEGvV7H3Xf3AkyzhNHGwZ4JC+fiFdCIxMhovn1mKtlp6dW+rhDCcj39tKExfdCZZHJ0DTn272bSE6XViBBCmJJW7QBE5YwffwedOzclKSmN2Z+uotOQAQAE/fWPypEJIW7k+dfH4mOfT3ZeIe+++YPa4QghynH77e3x8HDmypWr7N59slrX0ltbM27+x/i3a01aYhLfPjNFdlcVop5zcrLjof/dDsBl6wAA9v7yh5ohCSFEnSTFLgvi4uLAe+8/BsA7b/9Eo569sbazJe7CRS4fC1U5OiFEebRaLc88apgp8uMfh4iPl51QhTBX9xUtYVz99wEKC6u+zFij1fLoR+/QsncPstMzWPzsNBIuS38+Ieq7Rx7ph4ODLRejrhJfYE/02XOEHzmmdlhCCFHnSLHLgrz11v/w8nLh5MnLLFq0nl6j7gRkVpcQ5u75Vx7F20lLVj68Nu1LtcMRQpRDo9Ew6t5bgOovYbz/jZfoNGQA+bm5LJ0yk6hTZ00RohDCwo2fYFjCGHrVHtCw95c/1Q1ICCHqKCl2WYhWrfyY/LyhuDV92ne4N/KnSZeOFOTnc2jNepWjE0KUR6/XMXPGXQD8vfMy8bGyO6oQ5qp371b4+nqQkpLB1q1Hq3ydYZOfJvDBURQWFvJ/M9/mXNAhE0YphLBU3bo1p3v3FuTm5nNZ60N2egaH125UOywhhKiTpNhlIT6f8xRWVnrWrAli06Yj9Bw1EoDTu/eTlii/PAthrsY/Mxwfdzsy8jV8+I706hLCnBUvYfznn4Pk5uZX6Rq3PfIgQ54ZB8Af73/K8c3bTRWeEMLCTSia1XU4PJ3sAi3Ba9aTk5mpclRCCFE3SbHLAgwd2o2RI3uSm5vHizOWoNXp6HHXcECWMAphzmxtrXnnnUcB2H4un9DdQSpH9P/t3XlcVOX+B/DPrOy4Ay655Ib7gqC4K+77FmpetUxb7NatrExvZVbmbVHrmvfXzVu2WWm54oagaCoggiK4gCsqKCAiOwwD8/z+GJkkthmEOTPD5/16fV+vPOeZmS/HPooP53kOEVVm6jRfAMD2baHVen2vcaMwddlrAID96/+L8N921lRrRGTlnJzsMfvJIQCAm4oWAIDQLVzCSERUWySf7Fq8eDGuX7+O/Px8hIeHw9vbu9Lx9erVw5dffonbt2+joKAA8fHxGDt2rJm6NT+lUoG16xYCAL5cvweXL99GxwH94NqkMXLS7+PiHyck7pDqGmbWeIsXj4NbY2dkFcrx368PQAghdUtUxzCvxuvevTXatm2KvDwNAgNPm/z6jgP6YfaH7wAAjm3eiuCvv6vhDsnWMa+2bebMQXB1dURSag6SCuxw5dRppFy9LnVbVE3MK5HlU0r54f7+/li7di2ef/55nDx5Eq+88goCAwPRsWNH3L17t8x4lUqFoKAgpKamYsaMGUhKSkKrVq2QkZFh/ubN5IUXxqFTp8dw924mPvhgCwDA58ESxqg9B1BcVL1lFkTVwcwaz8XFAcuW+wMAwlMdcXLHPok7orqGeTVNyRLGAweikJenMem1Lbt1xvy1H0GhUuL0voPY9fHntdAh2TLm1fYtXDQKAHAh2xmAjHd1WTHmlch6CKkqPDxcrF+/3vBrmUwmEhMTxdKlS8sd/9xzz4krV64IpVJZ7c90cXERQgjh4uIi2ddtbDVq5Crupf8idCJALFo0WgAQTg3qi09OHxNrYsOER/u2kvfIsu4yNQ/mzqw15fWv9c47s4ROBIi0gn3ilc0bJe+HZf3FvNZunY1ZL3QiQMyZM9Sk17m1aSXeP3ZArIkNE89+tU4oHuF7FJbtlKXntTo9sqpf3bq1FjoRIDTaneL/LpwQKw4HCLlSIXlfrD/LlDwwryyWtGVsHiRbxqhSqeDl5YXg4GDDMSEEgoOD4evrW+5rJk2ahLCwMGzYsAHJycmIjY3FsmXLIJdX/GWo1Wq4uLiUKmuxcuWTaNDAGdHR1/DNN0EAgN7jR0OhUuLW+YtIvnxV4g6pLjFHZq05rw9r2NAFry2ZAgAIS3FExG4+MZXMi3k1Tfv2zdCtW2totUXYs+eU0a+r7+6G577+Ak716+FGzHl89+py3nFNJuP3xLZv0YO7us4lapBXLEf477ugKyqWuCuqDuaVyHpINtnVuHFjKJVKpKSklDqekpICDw+Pcl/z+OOPY8aMGVAoFBg3bhw++OADLFmyBG+//XaFn7Ns2TJkZWUZKikpqUa/jtrStWsrPPf8GADAq69shE6nAwD4TJ0AgBvTk/mZI7PWmte/evPNaahXzwmp+QpcuCdD9IHgql9EVIOYV9OULGE8dOgsMjNzjXqNYz1XPPv1F6jv4Y6Uawn45sUlKMzPr802yUbxe2LbZm+vxpy/DQMAXIMHiouKEL5tl8RdUXUxr0TWQ/IN6k0hl8uRmpqKZ599FqdPn8bWrVuxatUqPP/88xW+ZvXq1XB1dTVU8+bNzdhx9a1dtxAKhQK//34CR4+eAwC06NwRzTq0g1ajwZn9QRJ3SFQ1UzNrrXl9mIdHA/z9pYkAgNBUJ1w4cgJ5mVkSd0VUtbqY1xIlT2HcsT3MqPFqBwcs3LAG7o+3RkZyCr5+7hXkZmTWZotEpdSl74mt3YwZA9CggTNS7ufjZo4K50OOITOl7L5OZLuYVyJpSLZBfVpaGoqKiuDu7l7quLu7O5KTk8t9zZ07d6DVag13OQHAxYsX0bRpU6hUKmi12jKvKSwsRGFhYc02X8smTeqLESN6oqCgEG++sclw3HuK/q6uc4f/QH5WtlTtUR1ljsxaY17/6p//9Iejox1uZQLXs1WIDOASRjI/5tV4jz3WBD4+HaDT6bBr18kqxyuUSsxf+xFa9eiK3IxMfP3cK8hITqnydUQV4ffEtm3Rs6MBAHE5LuDG9NaPeSWyHpLd2aXVahEVFQU/Pz/DMZlMBj8/P4SFlf+T1RMnTqBdu3aQyWSGYx06dMDt27fL/UPCGqnVSny2ZgEAYN3anUhI0H8DrVSr0Xucfr0/lzCSFJjZqrVq5Wb4pjY83RW59zMRd8y4O0WIahLzarwpU/oBAI4fv4DU1IxKx8pkMsxa9Q48B/aDJi8f/3txCVKuJdR+k2TTmFfb5enZAoMGdUFRsQ7xuS5IvX4Dl09GSt0WPQLmlci6SLaLvr+/v8jPzxfz5s0Tnp6e4quvvhLp6enCzc1NABDff/+9+OijjwzjW7RoITIzM8W///1v0b59ezFu3DiRnJwsli9fXuM790tVb7wxTehEgEhM+k44OzsYjvcc7SfWxIaJd4J2CplcLnmfLNsoU/Ng7sxael7/Wt98+w+hEwEi5vpmsSY2TExd9prkPbFsp5jX2qnDIR8JnQgQ//jHpCrHTnnrVbEmNkx8cvqY6Dign+S9syy3LD2v1emRZXqtWfOM0IkAEXt7u1gTGyYGzfGXvCdW+WVKHphXFkvaMiEP0jb64osvioSEBFFQUCDCw8OFj4+P4VxISIjYtGlTqfH9+vUTYWFhIj8/X1y5ckUsW7ZMyE2Y/LHkPyjc3OqLjMwtQicCxLx5w0udW/R/68Sa2DAx5u/PSt4ny3aqOnkwZ2YtOa9/LU/PFkJbtFPoRID47sIhsSY2TDzWpZPkfbFsp5jXmq8mTeoZctuyZZNKx/otmi/WxIaJNbFhote4UZL3zrLssvS8VrdHlvGlVitF6t3NQicCxPbrR8XqiBBh7+IseV+s8svUPDCvLJZ0ZTWTXRZ8YcxeGze+JHQiQISfXCNkMpnheH13N/Hp2RNiTWyYaNSiueR9smynLDkP1tDfw7Vl61KhEwEiJPzfYk1smHhz1y+S98SyrbL0PFh6f+XVM8+MEjoRICJOra10XL8Zkw0TXQOffELyvlmWX9aQB2vo0Zpr5sxBQicCxN3MbWJtbKh4YsVbkvfEqrgsPQ+W3h+LZc4yNg9W9TRGW9arV1s8vWAEAODVVzZCCGE45zVpLORyOa5GnsG9RD52lsjS9OrVFk88MRA6nQ7H79gDACJ375O4KyKqijFPYew2Yiimv/0GACDo6004/vNvZumNiKxbyR6e8bkuENyYnojI7DjZZSE+/2IR5HI5Nm8+grCwuFLnfB48hZEb0xNZpg8+/BsAYNvOU3Bs1w06nQ6n9wRK3BURVcbV1REjRvQAAGyvYLKrrXdv/O3jlZArFAj7fScOrP/anC0SkZVq164phg/vAZ1O4EKWIxKiY5EUd0nqtoiI6hROdlmAJ54YiEGDuiAvT4Nlb31f6tzjXj3RuGULFOTmIibosEQdElFFBgzojHHj+qCoqBh7z2QAAK5ERCEjJVXaxoioUuPHe0OtVuHChZuIj08sc16uVODJ1SugVKsRExSCbR98KkGXRGSNFi7UP0H9SjqQrVXgxJZtEndERFT3cLJLYvb2anzy6dMAgE8+/h2JiWmlzntPGQ8AOBt4GIX5BWbvj4gqt+qjuQCAb78JQrN+gwEAkbv3S9kSERmhZAnj9m2h5Z7vOnwI6ru7ISvtHjYvWwmh05mzPSKyUiqVEvOf8gMAxOW6Iif9PmIOhkjcFRFR3cPJLom9/vpUtGrlhps37+LTT3eUOmfn6Igeo4YD4BJGIks0alQvDB7cFQUFhdi07QyatHoMmrw8xAYfkbo1IqqEg4Mdxo71AlDxEsYBM6cBAE5u240ijcZsvRGRdZs40Qfu7g2QmVeE69lqROwIQFFhodRtERHVOZzsklCzZg2x9K0ZAIClb25Cfn7pb6Z7jBoOO0dHpF6/gYToGClaJKJKfLhKf1fX//1nH1r0HQAAiAk6gsL8fCnbIqIqjBrVC05O9rh+PQXR0dfKnHd/vDXa+XhBV1yM8N92mr9BIrJaD29MX6QTCOOfIUREkuBkl4RW/+spODnZ4/jxC9iy5ViZ8yVLGE/t2mvu1oioClOn+qJPn/bIycnHp2t2oedY/dNUowK4hJHI0k2b3h8AsGN7+UsY+8+aDgA4f+Q4998jIqO1auWGkSN7AgDOpdsj7lgY0pPuSNsUEVEdxckuifTt2xFz5w4DALz6ysYy5xu3egyPe/WErriY+/8QWRi5XI73P9A/gfHzdbvQpHNXOLq6IiM5BVdOnZa4OyKqjEqlxMSJ3gDKX8Jo5+iIPhPHAgBO/MpNpYnIeM88MxJyuRzXMmTI5Mb0RESS4mSXBGQyGT7/YhEAYNO3QYiKulJmjPdk/V1d8aEnkXU3rcx5IpLOk08OQZcuLZGeno01a3bCe9I4AEDUnkBuYk1k4YYN64b69Z1x5046wsLiypzvPWE07J2dkHr9Bq6cjJSgQyKyRgqFHE8vGAkAuJjljHuJSYg/cVLiroiI6i5Odklgzpyh6Nu3I7Kz87B8+Q9lzsvkcsM/nrkxPZFlUamUeG/lkwCATz/ZjmKFGp4D9U914xJGIss3bZp+CeOuneEQQpQ5P+DBEsbQrTvKPU9EVJ5x4/qgefNGyC7Q4Uq2GmFbd/AHYEREEuJkl5k5Odlj9b/mAwA+WvUbUlIyyozp2N8H9dybIDcjE+ePHDdzh0RUmQULRuDxxz2QnHwf69cHoOeYEVColLh57gJSriVI3R4RVUIul2PylL4Ayl/C2KZ3DzRt3xaF+QXcL5OITLLo2TEAgPhsJ2gKCvkDayIiiXGyy8zeemsGmjdvhKtX7+Dzz3eVO8Z7ygQAwOm9gSjWas3ZHhFVwt5ejbffmQUA+GjVVuTladBnkn5vH+6tR2T5+vf3hLt7A9y/n4MjR2LLnC+5q+v03kAUZOeYuz0islLNmzfC2LG9AQCx9+0RfeAQcjMyJe6KiKhu42SXGbVq5YYlr08FALzx+rfQaMpOZDnWc0XXYYMAcAkjkaVZvHgcmjdvhBs3UvH11wfg3rYNHuvSCcXaIkTvD5K6PSKqQskSxt27T6KoqLjUOZdGDdF9hP7BMdyYnohMsWDBSCgUCtzMViCjUIFQbkxPRCQ5TnaZ0cefPA17ezUOHz6LnTvDyx3Te/woKNVqJF28hNvxl83cIRFVxMXFAW8tewIAsPK9n1FYWGS4q+visRP8CS6RFZg6Tb+/3o5yljD2nT4JCpUSCdGx/PuXiIwml8vxzMJRAIDzGQ64dSEON2MvSNwVERFxsstMBg/uCn//gSguLsarr/yvwnHek/VLGCN2BpirNSIywquvTkbjxq6Ii0vEjz+GQCaXw2u8fn8OLmEksny9e7dFq1ZuyM0twMGDZ0qdkysU8H1iCgDgBO/IICITjBrVCy1bNkFeocDlLDuE/rpd6paIiAic7DILuVyOdZ8vBABs/DoQsbEJ5Y5r1rE9WnTuiKLCQpzee9CMHRJRZRo2dMFrS/RLkFe8uxnFxTq07+uFeu5NkJeZhQt/hErcIRFVpWQJ4759kSgoKCx1rvOQgajv4Y6c9Ps4G3hYivaIyEotenY0ACAuywE5mTk4s5/fwxMRWQJOdpnB00+PQK9ebZGRkYN3391c4TjvKeMBAOePHEdeZpa52iOiKixdOh2uro44c+Yqfv/9BADAa6J+CeOZ/UF8kASRFahsCeOA2fqN6U9uD2CeichoHh4NMHGiDwDg3H17ROzaC22BRuKuiIgI4GRXrXN1dcSqj+YCAN5f+SvS0sqfxFKoVPAar//JUMQOLmEkshRNmzbEi3/XLy9+5+2fIISAnaMjuvkNBQBE7t4nYXdEZAxPzxbo1OkxaDRa7N17qtQ5tzat0KGfN3Q6HcK27pCoQyKyRk895QelUoGkXCXuaZT8M4SIyIJwsquWvf32TLi51UdcXCI2bNhb4bguQwfCqUF9ZKbcRXxohBk7JKLK/POf/nB0tMOJExewb18kAKD7yKGwc3RA6vUb3ISWyAqULGEMCopGdnZ+qXO+T+iXKF88egL37ySbvTcisk4ymQwLF+l/UH3uvj0uhUXgbsJNibsiIqISnOyqRe3aNcXL/5gIAFjy2v+g1RZVOLZkCWNkwH4Inc4s/RFR5Vq3djfsxfH2P380HC9ZwhgZwI3piazBn0sYS++vp3awh/fkcQCAE1u4qTQRGW/48O54/HEPFBQBlzLtcIIb0xMRWRROdtWiTz9bALVahf37o7B/f1SF41ybNIbngH4AgIide8zVHhFV4d0Vs6FSKXHw4BkcPXoOANCgqQfa9+0DADi9J1DK9ojICK1bu8PLqx2Ki4uxe3fpO6d7jRsFB1cXpN1MxKXQkxJ1SETWaNGz+icyx2XaI+1OKi4cPS5xR0RE9DBOdtWSESN6YvLkftBqi7Dktf9VOrbPpLGQKxS4fvos0m7cMlOHRFQZT88WmDt3KIDSd3X1frC33uWTkVzyRGQFpk7V/zDp6NFzuHev9L6ZA2bpN6YP3bIdQgiz90ZE1qlxY1dMmdIXABB73x5hv+2ErrhY4q6IiOhhFjHZtXjxYly/fh35+fkIDw+Ht7e3Ua+bOXMmhBDYscOyNoNUKORYu24hAOA/G/YiLi6x0vHek/VLGCN28K4usny2lteKrHx/DhQKBXbsCENk5GXD8T6T9EsYo7iEkaxAXclrZaY+2K/rr09hbN2jG5p7doC2QIOInRXvqUlkLsyr9Zg/3w9qtQrJeUqkZAMnt+2WuiUyM+aVyPJJPtnl7++PtWvXYuXKlejduzfOnj2LwMBANGnSpNLXtWrVCp999hn++OMPM3VqvOeeG4OuXVshLS0LK1f+UunY1j26wa1NK2jy8nH24GEzdUhUPbaY1/L07t0WTzwxEDqdDu++85Ph+GNdO8OtTSsU5hcgJuiIdA0SGaGu5LUyHh4N0L+/JwBg587wUuf6z5oGADizPwj5WeU/KZnIXJhX67Jw0SgA+ru6YoJDkH0vXeKOyJyYVyLrIPlk12uvvYaNGzfiu+++w8WLF/H8888jLy8PCxYsqPA1crkcmzdvxooVK3Dt2jUzdlu1Bg2csfL9OQCAFe9uRkZGbqXjfaZOAADEBB2GJi+v1vsjehS2lteKfPDhXADAzz8fxfnzfz5ZqWQj69hDR5hXsnh1Ja+VmTy5L+RyOcLD45CUdM9w3LlhA/QYNRwAcOLXbVK1R2TAvFqPwYO7omPHFtAUA/GZaoTy4RZ1DvNKZB0knexSqVTw8vJCcHCw4ZgQAsHBwfD19a3wde+++y5SU1Px7bffVvkZarUaLi4upao2vffek2jUyBWxsQn4+usDlffmYI8eY/wAcAkjWT5bzGt5Bg7sjLFjvaDVFmHle3/emalQqdBzzAgAQORuLmEky1ZX8lqVipYw+kydCKVajRsx55F4IU6K1ogMzJFXwDoyaw1K7uq6lGmHm/HXcS0qWtqGyKyYVyLrIelkV+PGjaFUKpGSklLqeEpKCjw8PMp9zYABA/DMM89g0aJFRn3GsmXLkJWVZaikpKRH7rsinTo9hhcW6+/8ePWVjSgu1lU6vtuIYbB3ckLazUT+RUkWz9byWpEPV+nv6vr2myBcvXrHcLzToP5wql8PmSl3cflkpNn7IjJFXclrZRo0cMawYd0AADt2/DnZJZPL4es/BQB4RwZZBHPkFbD8zFqDBg2cMWPGAAD6JYz8M6TuYV6JrIfkyxhN4ezsjB9//BGLFi3CvXv3qn4BgNWrV8PV1dVQzZs3r7X+1q5bCKVSgZ07w3H4cEyV40uWMEbs5F1dZHssPa/lGTWqFwYP7oqCgkJ8+OGWUucMG9PvPQChq3wim8jaWGNeqzJhgjdUKiViYq7jypU/J647D+6Phs2aIjcjE9GBhyTskKh6qpNXwPIzaw3mzh0Ge3s1UvMVuJGmQdSeyldxEDGvRNJRSvnhaWlpKCoqgru7e6nj7u7uSE5OLjO+bdu2aNOmDQICAgzH5HL9fJ1Wq0XHjh3LrIEuLCxEYWFhLXRf2vjx3hg9ujc0Gi3eeL3q21MbtWiOdt69odPpEMUlUWQFbCmvFVn10TwA+qeoPry/j1P9eug0WL8cKiqA39iS5asLea1KRUsY+8+cDgCI2B6AIo3G7H0R/ZU58gpYfmatwaJnxwDQ39UVFbAPmlzu31nXMK9E1kPSO7u0Wi2ioqLg5+dnOCaTyeDn54ewsLAy4+Pi4tC1a1f07NnTULt370ZISAh69uyJW7dumbN9A5VKiTVrnwEAfPH5rlJLnyriPWU8AOByWAQyUlJrtT+immArea3ItGn94eXVDtnZefjXv34vda7n2JFQqlS4dSEOyVe4qShZPlvPa1WcnOwxenQvAMD2hya7GrdsAc+B/aDT6RD6Gx/7TpahrufVWvj6eqJLl5bQ6oC4DDuEbuWfIXUR80pkPSS9swsA1q5di++//x6RkZGIiIjAK6+8AicnJ2zatAkA8P333yMpKQnLly+HRqPB+fPnS70+IyMDAMocN6e//308OnRojuTk+1i1amuV42VyuWFJFDemJ2tiC3ktj1wux/sf6J+i+vm63UhLyyp1vs/EB0sYeRcmWRFbzasxxozpDQcHO1y5chuxsQmG477+UwEAccfDkJ54W6LuiMqqy3m1FgsXjQag35j+4qmzSL58VeKOSCrMK5F1kHyya+vWrWjSpAnef/99eHh4IDo6GmPGjEFqqv5up5YtW0JnwfvjNGlSD++umA0A+OfyH5CdnV/la9r39UKDph7Iy8rCuZBjtd0iUY2x9rxWZM6cIejcuSXS07OxZk3pn9S6tWmFlt06o1hbhDP7gyTqkMh0tppXY5S3hFFlb2fYKzP0V24qTZalLufVGtSr54SZMwcBAGLT7RH6yzaJOyIpMa9E1kPUpXJxcRFCCOHi4lIj7/fVVy8KnQgQpyLXCZlMZtRr/vbxSrEmNkxM++frkl8PVt2ums6DNfanUinFlasbhU4EiDffnF7m/NiXnxdrYsPEgn9/Ivn1YNXtYl6NK7VaKTIytwidCBB9+3Y0HPeZMkGsiQ0Ty/dvEzK5XPLrxbLtspQ8WHuPllIvvDBO6ESASM3fJ1aEBAiFUil5T6yaLUvPg6X3x2KZs4zNg1U9jdHS9OjRBgsXjQIAvPrKRgghqnyNg6sLuvoNAQBE7AioYjQR1bZnnhmJxx/3wJ076fjyy9LLimUyGfpM1G9GGxnAJYxE1mDEiJ5wdXVEYmIaIiIuGY73n63fmD5s63Y+UZWITLLoWf0SxnP37XFyWwCKi4ok7oiIiKrCya5HsO7zRZDL5diy5RiOH79g1Gt6jhkBlZ0dbl+6gsQL8bXcIRFVxsHBDm+/MxMAsOrDLcjLK/1ktnY+Xqjv4Y68rCxcOHpCihaJyETTpvkCAHbuCDP8EKplt854rLMntBoN98okIpP06dMePXs+jiIdcP6eEuG/7ZS6JSIiMgInu6pp2rT+GDq0G/LzNVj65iajX1eyXwi/2SaS3uLF49CsWSMkJKRg48aDZc57PdiYPvrAIRTx8c9EFk+hkGPS5H4ASj+Fsf9M/V1dZwMPIzcjU5LeiMg6LXqwiuNylh2iDoXyKepERFaCk13VYGenwqefLQAAfPbpDty8edeo13m0b4uWXfUbXZ/eG1ibLRJRFVxcHPDWshkAgJXv/QKttvSSBLWDA7qPHAqAT2EkshaDBnVB48auSEvLwrFj+qdcOdWvh55j9I+IP/Hr71K2R0RWxtnZAbOfHArgwcb0W7gxPRGRteBkVzW89toUtGnjjsTENHz8sfHfOPtMGQ8AOH/0OHLvZ9RSd0RkjFdfnYxGjVwRF5eIn34KKXO+m98Q2Dk64u6NW0g4GytBh0RkqpIljLt3haO4WL8vl8/UCVDZ2eHWhTjcjDVuywEiIgCYNWsQnJ3tka5RIPrCHVwOj5S6JSIiMhInu0zUtGlDLFv+BADgraXfldnjpyJypQK9x+s3t+QSRiJpNWrkiteWTAUAvPvOT4Z/FD+szyT9EkZuTE9kHWQyGaZM1U92lSxhlMnl8PXXZz30F96RQUSmWbjowcb06XYI3brDqIdRERGRZeBkl4lWfTQPzs4OCAuLw88/HzX6dZ0HD4BLo4bIupuG+BPhtdghEVVl6dLpcHV1xOnTV7FtW2iZ8/Xd3dCubx8AwOk9B8zdHhFVg7d3e7Ro0RhZWXk4dOgsAMBzQD80atEceVlZOHMgSOIOicia9OjRBj4+HVCsA6KTZTi1a6/ULRERkQk42WWCFi0aY968YQCAV/7xtUmv9Zmi35g+KuAAdMXFNd4bERmnadOGePHv+iXF77z9Y7k/pe09YTTkcjmuRp5BetIdc7dIRNVQsoRx795T0Gi0AID+s6YBAE7t3AttgXF3YhMRAcCiB3d1XclWIzQgGPlZ2RJ3REREpuBklwnGj+8DuVyO0NCLOHXqstGvc2nUEJ6D9N+ER+zkEkYiKb399kw4ONjh+PEL2L8/qtwxJU9hjOTG9ERWY+q0/gCAHQ+WMDZs0QyeA/V/94Zu2S5ZX0RkfRwd7TBnrv4H3Oe4MT0RkVXiZJcJJkz0AQDsCYgw6XVeE8ZAoVQi4WwsUq/fqI3WiMgIbdq4Y+GDR4i//c8fyx3TorMnPNq2gbZAg5igw+Zsj4iqqWvXVmjfvhkKCgoNk9j9n5gKuVyO+BPhSLuZKHGHRGRNnnhiIOq5OiKjUI7joZeQeCFe6paIiMhEnOwykqOjHfz8egAA9uw5ZdJrvafqlzByY3oiab27YjZUKiUCA0/jjz/OlTumZGP62MNHUZCTa872iKiaSpYwBgaeRm5uAZR2dvCZNhEAcOJX3pFBRKb5c2N6exznnaFERFaJk11GGj68O+zt1bhxIxXnzhl/d1bLbp3h0bYNCvMLEH0guBY7JKLKdOr0GOY+WJJQ0V1dCqUSvcaOBMAljETW5K9LGHuO9oNT/XpIv30HF/4o+xAKIqKKdO7cEgMGdIJOAJE3CnE28JDULRERUTVwsstIEyZUbwmj94ON6WOCQ6DJzavxvojIOCvfnwO5XI7t20MRFXWl3DGeg3zh3LABsu6m4XK4aXdwEpE02rZtih492qCoqBgBD/6O7j9TvzF9+G+7IHQ6KdsjIiuz6MF2B1ez1Di8ZQ+KCgsl7oiIiKqDk11GGj/BG4BpSxhV9naGu0S4hJFIOl5e7TBjxgDodDq8+87mCsf1ebAx/em9B/nUVCIrUbKEMSQkBvfv56BFZ0+06t4FRVotTm7fLXF3RGRN7OxUmPfUCABATLoaYb/tlLYhIiKqNk52GaFXr7Zo3rwRcnLyceRIrNGv6+Y3BA4uzriXeBvXIs/UYodEVJkPPvwbAGDz5qO4cOFmuWMcXF3ReehAAEBkwD6z9UZEj2bqg8mukiWMA2ZNBwDEHDyMnPT7kvVFRNZn+vT+aFDfCVmFchwMPI17iUlSt0RERNXEyS4jTHhwV1dQUDQ0Gq3Rr/OZot8cN3LXXgghaqU3IqrcoEFdMGaMF7TaIqx87+cKx/Uc4welSoWki5dw59JVM3ZIRNXVvHkj9OvnCZ1Oh507w+Hg6mq4o/rEL9yYnohMs+g5/R3e5+7b4/gv3JieiMiacbLLCBMm6vfr2mvCEsYGzTzQvl8f6HQ6nNrFu0SIpPLhqrkAgG/+dxDXriVXOK7kKYyRAdyYnshaTJnSDwAQGhqH5OT78JkyHip7OyTFXULCWePvxCYi6tChOYYM7gKdAE5czETc8TCpWyIiokfAya4qeHg0gLd3ewDAvn2RRr/Oe9I4AMCViCjcv1PxP7CJqPaMHt0bgwZ1QX6+Bh9+uKXCcU1at0TrHt1QXFSEM/sOmrFDInoUfy5hDIVMJjNsTB+6hXdkEJFpFi7Ub0yfkK1C4E87+HALIiIrx8muKowb1wcAEBFxCcnJxu39IZPJDE9h5Mb0RNIp2avrPxv24fbt9ArHeU0cAwCIDz2J7HsVjyMiy9GokSuGDOkKANixIxwdfH3QuGUL5Gfn4PTeQIm7IyJrolYr8fQz+smu6LtKnNweIHFHRET0qDjZVYXqLGFs690bDZs3RX5WNmIPHa2t1oioEj4+HdCnT3vk5Wnw8ce/VzhOJpPBa4J+sitqN5cwElmLSZN8oFAocPr0VSQkpBg2pj+1ay8K8wsk7o6IrMnkyf3QqKEzcrRy7PjtD+Tez5C6JSIiekSc7KqEnZ0KI0f2BADsMWGyy3vKeADAmQPBKNJoaqM1IqrCggX6Tap///0E0tKyKhz3uFdPNGymn5w+d+S4udojokc0dVp/APoljA2aeaDTkAEAgLCtO6Rsi4is0HMv6LcfOXffDsd/5TJoIiJbwMmuSgwd2g1OTvZISrqHM2eMezqbvbMTeowcDoBLGImk4uhoh1mzBwMANn0bVOnYPg/214s+eIiT00RWwsXFwfDDqO3bw+D7xFTI5XJcCj+F1Os3pG2OiKzK4497YPiwbhACOHTqDm6cPSd1S0REVAMsYrJr8eLFuH79OvLz8xEeHg5vb+8Kxy5cuBB//PEH0tPTkZ6ejqCgoErHP4oJE/Tva8oSxp5jRkBlb4fkK9dw69yFWumLSEqWmteHTZ/eH66ujrhy5TaOHq34m1a1gz26jxoGgEsYyTZZQ16rY9y4PrCzUyEuLhGXriSj77SJAIDQX7dJ3BlR9dlqXi3dMw82pr+Ro8KeTb9J3A1ZC+aVyPJJPtnl7++PtWvXYuXKlejduzfOnj2LwMBANGnSpNzxQ4cOxS+//IJhw4bB19cXt27dwsGDB9GsWbMa761kv649eyKMfo3Pg43pT+3cW+P9EEnNkvP6sAUPNpn9btOhSsd1HT4Y9k5OuJeYhOtnYmq1JyJzs5a8VsfDSxh7jBoG54YNkJGSivNcikxWypbzasmUSgUWLnqwb+dt8InMZBTmlch6CCkrPDxcrF+/3vBrmUwmEhMTxdKlS416vVwuF5mZmWLu3LlGjXdxcRFCCOHi4lLpuK5dWwmdCBC5eb8LBwc7o97brU0rsSY2THxy5phwbtRA0uvKYhlTxuahpCw1rw9Xu3ZNhU4ECG3RTtGsWcNKxz771TqxJjZMjHrhGcl/L1isqsoW81qdsrdXi6zsrUInAoSXVzvx0o9fizWxYWLEc09L/nvEYpWUpee1Oj3aYk2Z0k/oRIDI1u4R05e/Knk/LOnKlDwwryyWtGVsHiS9s0ulUsHLywvBwcGGY0IIBAcHw9fX16j3cHR0hEqlQnp6ernn1Wo1XFxcSpUxSpYwHjoUg/x84/bxKbmr6+KxUOTcu2/Ua4ishSXn9WFPPz0CAHDgwGncvl3+5wCAq1sTtO+nz3lUwAGTP4fIkllLXqtj5MiecHZ2wM2bd5GcK0frnt1QrC3CyW27zfL5RDXNHHkFpMusJXvh75MAABfu2+PYL9yYnqrGvBJZD0knuxo3bgylUomUlJRSx1NSUuDh4WHUe3z88ce4fft2qT9wHrZs2TJkZWUZKikpyaj3LVnCuNfIJYxypQJek8YC4Mb0ZJssOa8lFAo55j/lBwDY9G35n1Gi97hRkCsUuBYVjXuJpn0OkaWzhrxW18NLGH1nTgUAxASHIDvtnlk+n6immSOvgHSZtVQtWzaB37CuAIA9IZf5cAsyCvNKZD0k37PrUSxduhSzZs3C1KlToangKWqrV6+Gq6uroZo3b17l+zZu7Ip+/ToCAPbujTSqF88BvnBt3AjZ99Jx8Vio8V8EUR1RW3l92OjRvdGsWSPcvZuJgIDKJ6r7PJicjgzgxvREf2WOvFaHUqnApEkP9tM8EI3e40YDAEK38I4MqruMySsgTWYt2TOLRkMul+Fmjgo7N26Ruh2qI5hXIvNRSvnhaWlpKCoqgru7e6nj7u7uSE5OrvS1S5YswVtvvYURI0YgNja2wnGFhYUoLCw0qa+xY70gl8tx5sxVJCamGfUa7ynjAQBRew5AV1Rs0ucRWQNLzevDFjwzEgDw048h0GqLKhzXvFMHNG3fFlqNBmcPHq725xFZKmvIa3UMHdoNDRu6IDU1A0VN2sLO0QF3Ll/Ftahos/ZBVJPMkVdAmsxaKoVCjkXPjQMARCQU4vyRYxJ3RNaCeSWyHpLe2aXVahEVFQU/Pz/DMZlMBj8/P4SFhVX4ujfeeAPvvPMOxowZg6ioqBrv688ljKeMGu/csAG6DBkIgE9hJNtlqXkt4eZWHxMfZPfbb4MqHdtnov4b3PMhx1CQnVNrPRFJxdLzWl3Tpun3Q9m16yT6+euXMJ74dZuULRE9MlvNqyUbM8YLHk1ckF8kw3f/3c0fVJPRmFci83J0tMOsWYMNe6qbStKd9P39/UV+fr6YN2+e8PT0FF999ZVIT08Xbm5uAoD4/vvvxUcffWQY/+abb4qCggIxbdo04e7ubignJ6ca2blfpVKKjMwtQicChI9PB6Pec/DcWWJNbJj4x8/fSP5kAhbLlDL1yS6WlteH67XXpgidCBBh4Z9VOk6uVIj3juwVa2LDRKdB/SX/PWCxjC1bymt1Si6Xi9t3fhA6ESCe/of+791VYcHCztFR8t8bFuuvZel5rU6PtlT7gz8SOhEgIlIOCtcmjSXvhyV9mZIH5pXFqt1SqZRi4kQfsfnn10V2zm9CJwJE+Mk1hvMm5EH6L+bFF18UCQkJoqCgQISHhwsfHx/DuZCQELFp0ybDr69fvy7Ks2LFCqM+q6oLM3x4d6ETAeJO8g9CJpMZ9Z5Ltv0o1sSGCV//qZJfSxbLlKrOX5yWlNeH69z5DUInAsSiRaMrHddp8ACxJjZMvHdkr5ArFZL/HrBYxpYt5bU61b9/J6ETASL9/i9iwRf/Emtiw8TU5Usk/31hscorS89rdXu0hWrWrKEoKt4tdCJAvPntp5L3w7KMMjUPzCuLVbMll8vF8OHdxcaNL4l76b8InQgwVPL9beLnwM+FXC4XgJVNdpmzqrowa9cuFDoRIL755mWj3q9FZ0+xJjZM/OvUEWHv4iz518dimVKW/hensf317dtR6ESAyMn9Xbi6Vn6Xx9zPPhRrYsPEpDeMyziLZSllK3mtbn322QKhEwHil63LxafRx8Wa2DDh3raN5F83i1VeWXperaXH2qgVK/8mdCJA3MrZL9r26SV5PyzLKEvPg6X3x2JVt3x8Ooh16xaKpNvfl5rgupezQ0SkHBQ/XflDrIkNFe8G7zbcjGRsHiTdoN4STZioXwu6x8j9unymTgAAxB4+yr1/iCTyzION6X/77TiysvIqHOfg6oKuwwYBACJ38ymMRNZk6rT+AIBLGUo4KxS4cuo0Uq5el7grIrImMpkMz76gf6jUsbhsXI08I3FHRER1T5cuLTF79hDMnDUIbds2NRzPKSjG1RwHXMq2R1KuCgIy3Ll8FTEHD+NsUAiEECZ9Die7HtKxYwu0a9cMGo0WQUHRVY5XqtXoNU7/j+yIHXtquTsiKo+jox1mztJPYH37TeUb0/cY7QelWo3bl67gdvxlc7RHRDWgZ8/H0aaNO/LyNJB31P9QihvTE5GpRo7siaZNnFFQLMPGf/PPECIic2nd2h2zZw/GrNmD0a1ba8NxjVaHazn2iM+0x41cFXRChsQL8YgJDkFs8BGkXr9R7c/kZNdDSnb4P3IkFjk5+VWO7zp8MBxdXZF++w6unIys7faIqBxPPDEQLi6OuHz5No4dO1/p2D4TxwIAonhXF5FVKXkKY9jpW3Bs2A+ZqXdx7vBRibsiImvzypszAQDn7ioQtp0/qCYiqk0eHg3g7z8Qs2YPRr9+nobjRcUCCTlqxGfa41q2GkVChpuxFxATdBgxQUdwLzGpRj6fk10PmTDRBwCw19gljFP0t0FH7t5v8i11RFQzFjxYwrjp28rv6mr0WAu06dUduuJiRO0NNEdrRFRDSpYw3tI1AACE/74LuqJiKVsiIivj5lYfI4Z2BgD88vtJFOTkStwREZHtqV/fCdOm9ces2YMxbFg3KBQKAIBOJ3ArT434DDtcyVJDo5MjIToWZ4MOIzb4CO7fTq7xXjjZ9UCDBs4YMKATAOP266rv4Y72vvrJsVO79tZqb0RUvvbtm2HQoC4oLi7GDz8crnRsn4ljAADxYRHITrtnjvaIqAZ07NgCXbq0RGFhEfIat0dxYRHCt+2Wui0isjLP/X0SlAoZ7uQp8ev6n6Ruh4jIZjg62mHiRB/Mmj0YY8d6Qa1WGc7dzlMiPsMOl7LskFMIXD99FjFBhxF76CgyU+7Wal+c7Hpg9OjeUCoVOHfuBhISUqoc32fSWMjlclyJiEJ64m0zdEhEf7Vggf6urv37T+P27fQKx8lkMnhxCSORVZo6tR8A4HxCFjQ6D5w7fARZqbX7zRER2RaZTIZnn9N/HxASfRd3Ll2RuCMiIuumUikxenQvzJo9BJMm+cDZ2cFw7m6BAvEZdojPtENGAXD11BmcDTqMc4eOIvtexf9mq2mc7HrAlCWMMpkM3g+WMHJjeiJpKBRyzJs/HEDVSxjb9O6BRi2aoSAnF+dC/jBHe0RUQ0qWMCarPIBCbkxPRKYb7tcDzd2coSmWYcOnv0jdDhGRVZLL5Rg8uAuefHIIpk3vj4YNXQznMgrlhgmu1Bzg8slIxASH4NzhP5B7P0OSfjnZBf0/mseO9QJg3BLGNl490fixFijIyUVMcEhtt0dE5Rg71gtNmzZEampGlbkt2Zj+7MHD0BZozNEeEdWAli2bwNu7PXQ6gRsFzki+eh1XT52Wui0isjKvLZ8DAIhNEYjYGyxxN0RE1sXbuz1mzx4C/5kD0axZI8PxHK0clzLViMu0Q1KWwKXQU4gJOoxzIceRn5UlYcd6nOwC0L9/JzRo4Ix797IQFhZX5fiSjemjDwTzH85EEnn6wRLGn34MgVZbVOE4pZ0deoz2AwBEBnAJI5E1mTpV/xTGhPRi5BfLEbplu8QdEZG1adTIFSMGdwQA/PDTHyjWaiXuiIjI8nXu3BKzZw/GzFmD0K5dM8PxgiIZLmfpJ7gS0nWIO3ESZ4NCcOHIcYt78AcnuwBMfLCEcd++KOh0ukrH2jk6ovtI/dKpiJ1cwkgkBTe3+pgwwRsA8M03lS9h7DpsEOydnXAv8TauR0WboTsiqilTp+knu25q60GTl4coTlgTkYkWvzodKoUMKXkKbP78R6nbISKyWK1bu2PWrEGYNXsIundvbTiu1QFXs+wQn6nGpbs6nP8jDDEHD+PisTBo8vKka7gKnOwCMP7BP5r37omocmyP0X6wc3RA6vUbuHH2XG23RkTlmDdvGFQqJcLC4nDx4q1Kx/aZ9GBj+j0HIIQwR3tEVAPc3Opj4MDOAIArWWpE7dltcT8xJCLLt2jRaABAYPgt3L9T84+2JyKyZm5u9eHvPxCznxwCX19Pw/FiHZCQo7+D62KyFjEhoTgbFIL4E+EozC+QsGPj1fnJrrZtm6JTp8eg1RYhMPBMleN9pk4AwLu6iKRUsoSxqo3pXRo3Qsf+fQGAd4QQWZnJk/tCLpcjOU+BbK0CoVu4MT0RmWaYX0+0cHOCVgf8e/VPUrdDRGQR6tVzwrRpvpj95BAMG9YdCoUcACAEcCtXhbhMO5xL0iIq+Dhigg4jPjQCRYWFEndtujo/2TV+fB8AwLFj55GZWfFPjOUKBaYuX4I2vbqjuKgIUQEHzNUiET3E19cTnTo9htzcAmzZcqzSsb3HjYJcoUBCdCzSbiaaqUMiqgklSxivZNnhWlQ07ly6KnFHRGRtXn9nHgDgbFIRzhw6LnE3RETScXCww8SJ3pj95FCMHesFtfrPqaA7eUrEZ9rh7K1ChAcew9mgw7gcHmn1exzW+cmuCQ/269pbydPc7BwdMXfNh+g00Bc6nQ47Vq9F1t00c7VIRA9Z8OCurt9+O4Hs7PwKxznVr4d+MyYDACJ3864uImtSr54T/Px6AAAuZ9lxY3oiMln9+k4YMbAdAODbbw9xKwMiqnNUKiVGjeqFJ+cMxeQp/eDooDacSytQIC7TDmduFODY3iOICQrBlVNR0BUVS9hxzarTk10uLg4YMqQrACAgoPz9uuq5N8EzX36G5p4doMnLx+al7+L8Ef5kiEgKTk728J85EADw7TcHKxzXukc3zP3sA9T3cEdeVhaiAw+Zq0UiqgETJnhDpVIirUCBW3cyERMUInVLRGRlXl76JFQKGVLz5Phh3Q9St0NEZBZyuRyDBnXGnL8Nwwz/Qajv6mA4l1koR1yGHaIS8nF492GcPXgY10+fha7Ydia4HlanJ7tGjeoFlUqJ+PhEXLlyp8z5ph3aYeF/1qC+uxuy0u7hmxdfR+KFOAk6JSIA8PcfCBcXR1y6lITjxy+UO2bIvNkY/8piKFRKpF6/gR9e/yfys7LM3CkRPYo/lzCqEb5tK4qLiiTuiIiszYIFIwAAe/+4irxMfh9ARLatT5/2mDN3OGY/ORRujZ0Nx3O1MlzKtEPk9Tzs23YIMUEhSIiOhdDpJOzWPOr0ZFdlSxg9B/bD3M8+hL2TE5KvXMP/XlyC+7f5BBciKf25MX1wmXMOri6Y9cE/0XX4EADAmX0H8dvKjy36cbhEVJajox3GjtXvp3npvhLhW3dK2xARWZ2hI73Q0s0RRTpg7cpNUrdDRFQrOnV6DH+b74c5f/NDy+b1DccLimW4nKlG5NVc7N56GGcOHsat2At1bjl3nZ3sksvlGDdO/830X5cw9ntiCqYtXwKFUonL4ZH47rVlKMjOkaJNInqgY8cWGDiwM4qLi/HDD4dLnWvR2RPz1qxCoxbNUFRYiJ0ff46wrTsk6pSIHsXo0b3h4KBGZqEcRw6EIyMlVeqWiMjKvPFgY/ozN/JxPrzqp60TEVmLVq3cMPepEZg7fyTat2lsOK7VAVez1Dh1JQfbfz2MqP2H6vyqtDo72eXl1RZNmtRDRkYOTpy4CACQyWQY98oLGL5gLgDg1K69+O29f3H5BJEFePppPwDAvn1RuHMn3XB8wKzpmPTGy1Cq1biXmIQflvwTiRfipWqTiB7RDP9BAEo2pt8mcTdEZG1c6znBz7cNAGDj13x6OhFZPze3+pgzfwTmLxiN7p4ehuPFOuBGjgoRl7Ox9efDOLknCHcuXZGwU8tSZye7xo71AgAcOHAaRUXFUNrZYfaqd9BztP4f1Pu//BrB/+Vtz0SWQKlUYN58fTa//SYIAGDn5Aj/95ah5xj9nhyxh47i13c+5F2YRFZMpVJi4qS+AIBTcem4HB4pcUdEZG1efecpqJUy3M0Dvlu3Wep2iIiqpV49J8ya64enF45Dn27NIJfLAABCALdyVYi4nIlffzqME7sOIuXqdYm7tUx1drJr9JjeAIA9ARFwalAfC/79CVr37IYirRZb3l2F03sCJe6QiEqMHNkLHh4NkJJyH3v3nkLTDu0wf80qNGndEsXaIgSs/RLHftoidZtE9IiGD+8OZ0c1crUybPl6W53bW4KIHt1T84YCAHYHxaFIo5G2GSIiEzg42OGJJ4djwXMT4Nv7MagUMsO5O3lKnIzPxK+bQxCybT/uJtyUsFPrUGcnu7p2bY3iYg1OnU/Byz9tROOWLZCXlYXv/vEWrkZybT+RJZk7bxgA4McfQuA1aRymLlsClb0d7t9Jxg+vv42bMecl7pCIasJTz00EAMTfVyBi516JuyEiazNsrC9aNbFHkQ745N3/Sd0OEVGVlEoFpvgPw8LFkzDYpxXsVXLDuXsFCoTHZ+KXn48g8Oc9uJeYJGGn1kde9ZDat3jxYly/fh35+fkIDw+Ht7d3peNnzJiBixcvIj8/HzExMRg7dmy1Pvd0zC3M/fJzNG7ZAvcSk7D+b89yoouoClLkdfRo/Z2YKa7t4b9yOVT2drjwxwmsfWI+J7qIKiHV36/VIZfLMXZ0DwDAvgPRXJJMdY415dVSvf723wAAp69m43IM9++k2sO80qOQyWSYMGMIdh5eh/Ts7di6+R8YNaAN7FVyZBbKEXQuBwve3osOjy/AxJ6z8fMn/+VEVzUJKcvf318UFBSIp556SnTq1En897//Fenp6aJJkybljvf19RVarVa8/vrrwtPTU7z//vtCo9GILl26GPV5Li4uQgghdGK/CEk8KNbEhomXN/9PODdsIOl1YLGkqJI8uLi4GDVeyrxeT9sh1sSGiU+jj4vhz8wVMplM8uvHYpmzrCWvxvb31xoz0VfoRIDI0+4Rrbp6Sn69WaxHKUvPa3V6tPSq17CeyNcGCJ0IEE+98qTk/bCsq0zJA/PKqm75TRggtgR+JtJzdwqdCDBUduEecfj8z+K5d18Q9dzL//+I9WcZmwfZg/+QTHh4OE6dOoWXXnoJgH6W89atW1i/fj0+/vjjMuN//fVXODk5YeLEiYZjYWFhiI6OxgsvvFDl57m4uCArKwsCB/D9ZWcc2XscPy97D9oCrumnuqckD66ursjOzq5yvJR5DUqyx4n4bPy0dAWu8Q5MqoOsJa9vrX4JGk2BCV+Znr//APTr3Bgnr+bBt91Mk19PZEksPa8P91jdzFqaAYO6YrpfW9zLFXBznQKh00ndElkRUzLLvJJJZDL07tMeo4d0QBNnheFwQbEMp69kYctvJ/Dj+i3ISE2TsEnrYmxeJd2zS6VSwcvLC6tXrzYcE0IgODgYvr6+5b7G19cXa9euLXUsMDAQU6ZMKXe8Wq2GnZ2d4dcuLi4AgMxCFfZ/vxsHvvwa9io17FXqR/xqiKxPSR6MIWVetToFgo/G46flHyEn/b5JfRPZCmvJ6+plkwAUG93rX+38PZQZJ6tnaXkFai+zlmZP8Hk4OzlJ3QZZGWMzy7zSo9DqgNjr2di5+xR+2PAb7qfeM5zj9z7GM/ZaSTrZ1bhxYyiVSqSkpJQ6npKSAk9Pz3Jf4+HhUe54Dw+PcscvW7YM7733Xpnj9dV+2PKhH/DhJ9VrnsiGuLi4VPlTLCnzqpaPxCdPAp88+VylPRLVBZaeVxlGVtpbVf61dAz+tfTzR3oPIkthKXkFai+zluapyWPwVNYSqdsgK1VVZplXehRqOeDVFvB69Ql88CrnIR5VVXm1+acxrl69utRMuouLC5KSktC8eXOjbisn4/Ha1q7aur4uLi64fft2jb3fo2BezYfXtnYxr/x/qqbx+taeupBXgJk1J17b2lOb19aSMsu8mg+vbe2ROq+STnalpaWhqKgI7u7upY67u7sjOTm53NckJyebNL6wsBCFhYVljmdnZ/N/5lrCa1u7avr6GvtezKtt4rWtXcwr1TRe39pjy3kFmFkp8NrWntq4tsa8H/Nqu3hta49UeZXX6CeaSKvVIioqCn5+foZjMpkMfn5+CAsLK/c1YWFhpcYDwMiRIyscT0Q1g3klsh7MK5H1YF6JrAfzSmRdJH1spL+/v8jPzxfz5s0Tnp6e4quvvhLp6enCzc1NABDff/+9+OijjwzjfX19RWFhoXjttddEx44dxYoVK8z6aHQWr21dvr7Mq+0Ur63tX1/m1baK19e2r62582opX7etFq+tbV9b5tW2itfWpq+t9BfhxRdfFAkJCaKgoECEh4cLHx8fw7mQkBCxadOmUuNnzJgh4uLiREFBgYiNjRVjx441+rPUarVYsWKFUKvVkn/dtla8tnXj+jKvtlG8tnXj+jKvtlO8vrZ/bc2ZV0v6um2xeG1t/9oyr7ZTvLa2e21lD/6DiIiIiIiIiIjI6km6ZxcREREREREREVFN4mQXERERERERERHZDE52ERERERERERGRzeBkFxERERERERER2Yw6N9m1ePFiXL9+Hfn5+QgPD4e3t7fULVm0t956CxEREcjKykJKSgp27NiBDh06lBpjZ2eHL7/8EmlpacjOzsbvv/8ONze3UmMee+wx7NmzB7m5uUhJScEnn3wChUJhzi/F4i1duhRCCKxbt85wrK5fW+bVNMyr+TCvZTGvpmFezYd5LYt5NR0zax7Ma1nMq+mYV/OwhrxK/khKc5W/v78oKCgQTz31lOjUqZP473//K9LT00WTJk0k781Sa//+/WL+/Pmic+fOonv37mLPnj0iISFBODo6Gsb85z//ETdu3BDDhg0TvXv3FqGhoeL48eOG83K5XMTExIiDBw+KHj16iDFjxojU1FSxatUqyb8+S6k+ffqIa9euiejoaLFu3TpeWzCv1Snm1TzFvJYt5tX0Yl7NU8xr2WJeq1fMbO0X81q2mNfqFfNa+2UleZX+QpmrwsPDxfr16w2/lslkIjExUSxdulTy3qylGjduLIQQYtCgQQKAcHV1FRqNRkyfPt0wpmPHjkIIIfr27SsAiDFjxoiioiLh5uZmGPPcc8+JjIwMoVKpJP+apC4nJycRHx8v/Pz8REhIiOEPi7p+bZnXRy/mteaLeS2/mNdHL+a15ot5Lb+Y15opZrZmi3ktv5jXminmtWbLWvJaZ5YxqlQqeHl5ITg42HBMCIHg4GD4+vpK2Jl1qVevHgAgPT0dAODl5QW1Wl3qusbHx+PGjRuG6+rr64vY2FikpqYaxgQGBqJevXro0qWLGbu3TBs2bMDevXtx6NChUsfr8rVlXmsG81rzmNeymNeawbzWPOa1LOa15jCzNYt5LYt5rTnMa82ylrwqa/TdLFjjxo2hVCqRkpJS6nhKSgo8PT0l6sq6yGQyfP755zh+/DjOnz8PAPDw8IBGo0FmZmapsSkpKfDw8DCMKe+6l5yry2bOnInevXuXu/a+Ll9b5vXRMa81j3ktH/P66JjXmse8lo95rRnMbM1iXsvHvNYM5rVmWVNe68xkFz26DRs2oGvXrhg4cKDUrdiEFi1a4IsvvsDIkSOh0WikbodsDPNas5hXqk3Ma81iXqm2MbM1h3ml2sa81hxry2udWcaYlpaGoqIiuLu7lzru7u6O5ORkibqyHuvXr8eECRMwbNgwJCUlGY4nJyfDzs7OcGtoiYeva3JycrnXveRcXeXl5QV3d3ecPn0aWq0WWq0WQ4cOxcsvvwytVouUlJQ6e22Z10fDvNY85rVizOujYV5rHvNaMeb10TGzNYt5rRjz+uiY15pljXmVfIMzc1V4eLj497//bfi1TCYTt27d4gZ/VdT69etFYmKiaNeuXZlzJZvQTZs2zXCsQ4cO5W5C9/BTQxYtWiQyMjKEWq2W/OuTqpydnUWXLl1KVUREhPjhhx9Ely5d6vy1ZV6rV8xr7RTzWnkxr9Ur5rV2inmtvJjX6hczW/PFvFZezGv1i3mt+bLCvEp/0cxV/v7+Ij8/X8ybN094enqKr776SqSnp5d6EgCrdG3YsEHcv39fDB48WLi7uxvK3t7eMOY///mPSEhIEEOHDhW9e/cWJ06cECdOnDCcL3m86IEDB0T37t3FqFGjREpKCh/bWk49/DSLun5tmVfTi3k1bzGvfxbzanoxr+Yt5vXPYl6rV8ys+Yp5/bOY1+oV82q+svC8Sn+BzFkvvviiSEhIEAUFBSI8PFz4+PhI3pMlV0Xmz59vGGNnZye+/PJLce/ePZGTkyO2bdsm3N3dS71Py5Ytxd69e0Vubq5ITU0Vn376qVAoFJJ/fZZWf/3Doq5fW+bVtGJezVvMa+liXk0r5tW8xbyWLubV9GJmzVfMa+liXk0v5tV8Zcl5lT34DyIiIiIiIiIiIqtXZzaoJyIiIiIiIiIi28fJLiIiIiIiIiIishmc7CIiIiIiIiIiIpvByS4iIiIiIiIiIrIZnOwiIiIiIiIiIiKbwckuIiIiIiIiIiKyGZzsIiIiIiIiIiIim8HJLiIiIiIiIiIishmc7CIiIiIiIiIiIpvByS4iIiIiMwkJCcG6deus9v0t7XOJiIiIysPJLiIiIqIqbNq0CUIILF26tNTxyZMnQwhh9PtMmzYN77zzTk23R0REREQP4WQXERERkRHy8/OxdOlS1K9fv9rvcf/+feTk5NRcU0RERERUBie7iIiIiIwQHByM5ORkLFu2rMIxarUaX3zxBVJSUpCfn49jx46hT58+hvN/Xe43ffp0xMTEIC8vD2lpaQgKCoKjoyMAQCaT4a233sK1a9eQl5eH6OhoTJ8+3aSeq3qPRYsWISkpCTKZrNTrdu7ciW+++abG+gCAvn37Ijg4GGlpaRBClCoXFxeT34+IiIioIpzsIiIiIjJCcXExli9fjpdeegnNmzcvd8wnn3yC6dOnY/78+ejduzeuXLmCwMBANGjQoMxYDw8P/PLLL/j222/RqVMnDB06FNu3bzdMPC1btgzz5s3D888/jy5dumDdunX46aefMHjwYKN7ruo9fvvtNzRq1AjDhg0zvKZBgwYYM2YMNm/eXGN9dO/eHUeOHMGZM2cwaNAgjB49Gvfu3UNwcDD8/f2RnZ1t9HsRERERGUOwWCwWi8VisSquTZs2iR07dggAIjQ0VPzvf/8TAMTkyZOF0G/aJRwdHYVGoxGzZ882vE6pVIrExETx+uuvCwAiJCRErFu3TgAQvXr1EkII0bJlyzKfp1arRU5OjujXr1+p4xs3bhSbN2+usM+H39/Y99ixY4fh6wEgFi1aJBITE4VMJjP6PR7+3PLqyJEjZfpev369CA0Nlfz3lsVisVgslu2VEkRERERktKVLl+Lw4cP47LPPSh1v27Yt1Go1Tpw4YThWVFSEiIgIdOrUqcz7nD17FsHBwYiNjUVgYCAOHjyI33//HRkZGWjXrh2cnJwQFBRU6jVqtRpnzpwxqk9j32Pz5s3YuHEjFi9ejMLCQsyZMwe//vorhBA10oebmxsGDhyIIUOGlDqem5tr0ub+RERERMbiZBcRERGRCY4dO4bAwECsXr0a3333XbXfR6fTYeTIkejfvz9GjRqFl156CatWrULfvn3h7OwMABg/fjySkpJKvU6j0Rj1/sa+R0BAAGQyGcaPH49Tp05h0KBBePXVV016j8p4eXlBoVDg7NmzZY5HRkYa9R5EREREpuBkFxEREZGJ3nrrLURHRyM+Pt5w7OrVq9BoNBgwYABu3rwJAFAqlfD29sbnn39e4XuFhoYiNDQU77//Pm7cuIGpU6di48aNKCgoQMuWLfHHH39Uq8cLFy4Y9R4ajQbbt2/HnDlz0K5dO8THxxvu2jL2PSojl+u3iHVycjI8ibJbt24YPHgw3n777Wq9JxEREVFlONlFREREZKJz585h8+bNePnllw3H8vLy8H//93/49NNPkZ6ejps3b+LNN9+Eo6Oj4cmGD/Px8YGfnx8OHjyI1NRU9O3bF02aNMHFixeRk5ODzz77DOvWrYNcLsfx48dRr149DBgwAFlZWfjhhx+q7NGU99i8eTP27NmDLl264KeffqrWe1Tk5MmTyMvLw6effopVq1ahbdu22LBhAzZs2ICTJ09W+XoiIiKi6pB84zAWi8VisVgsS66HN6gvqVatWomCggLDBvUAhJ2dnfjiiy9EamqqyM/PF8eOHRN9+vQxnH94I3dPT0+xf/9+kZKSIvLz80VcXJx48cUXS33Gyy+/LC5evCg0Go1ISUkR+/fvF4MGDaqwz/I2ijfmPWQymUhKShJCCNGmTZsy71vVe1S1Qf348eNFXFyc0Gg04vLly2LJkiVCJpNJ/vvKYrFYLBbLNkv24D+IiIiIiIiIiIisnlzqBoiIiIiIiIiIiGoKJ7uIiIiIiIiIiMhmcLKLiIiIiIiIiIhsBie7iIiIiIiIiIjIZnCyi4iIiIiIiIiIbAYnu4iIiIiIiIiIyGZwsouIiIiIiIiIiGwGJ7uIiIiIiIiIiMhmcLKLiIiIiIiIiIhsBie7iIiIiIiIiIjIZnCyi4iIiIiIiIiIbMb/A3p/VZbfeJV6AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# want data frames:\n",
"import pandas as pd\n",
"df = pd.DataFrame(D, columns = ['Sig','c','Thr','Mov','Decisions'])\n",
"# multi panel layout:\n",
"axs = plt.figure(figsize=(12,12), constrained_layout=True).subplots(5, 5)\n",
"# plot for movement absent/present\n",
"Mov_s = np.unique(df['Mov'])\n",
"# plot for leakage parameter & threshold values:\n",
"c_s = np.unique(df['c'])\n",
"Thr_s = np.unique(df['Thr'])\n",
"# plot for data for both movement condition for each leakage/threshold combination\n",
"Sig_s = np.unique(df['Sig'])\n",
"for Thr_n in range(len(Thr_s)):\n",
" for c_n in range(len(c_s)):\n",
" subdf0 = df[(df.Mov == 0) & (df.c == c_s[c_n]) & (df.Thr == Thr_s[Thr_n])].groupby(['Sig'])['Decisions'].mean()\n",
" subdf1 = df[(df.Mov == 1) & (df.c == c_s[c_n]) & (df.Thr == Thr_s[Thr_n])].groupby(['Sig'])['Decisions'].mean()\n",
" im0 = axs[Thr_n, c_n].plot(Sig_s, subdf0, label=\"no motion\")\n",
" im1 = axs[Thr_n, c_n].plot(Sig_s, subdf1, label=\"motion\")\n",
" axs[Thr_n, c_n].set_title(\"Thr = {}; c = {:.4f}\".format(Thr_s[Thr_n], c_s[c_n]))\n",
" axs[Thr_n, c_n].set_ylim(0, 1.1)\n",
" axs[Thr_n, c_n].set_xlim(0, 450)\n",
"axs[4,2].set_xlabel(\"Noise level $\\sigma$\")\n",
"axs[2,0].set_ylabel(\"Proportion motion judgment\")\n",
"axs[3,1].set_facecolor('grey')\n",
"axs[4,4].legend();"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"There seems to be some parameter redundancy. I.e. we could chose different parameter combinations to make the model do something sensible...\n",
"\n",
"But it looks like $c=0.0004$ works well for $\\theta = 1.5$ and $\\sigma=50$ (highlighted plot). Lets run a few trials on that to analyze those results more specifically..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" Motion detected for no-motion = 30.5 %; and motion = 58.8 %\n"
]
}
],
"source": [
"# run \"best\" parameter combination\n",
"sig = 50\n",
"c = 0.0004\n",
"thr = 1.5\n",
"d0 = []\n",
"d1 = []\n",
"for i in range(0,1000):\n",
" d0.append(run_model(sig,c,thr,0))\n",
" d1.append(run_model(sig,c,thr,1))\n",
"print('\\n Motion detected for no-motion =', sum(d0)/10, '%; and motion =', sum(d1)/10, '%')"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"This does indeed result in roughly 50% likelihood of experiencing the illusion both ways."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Finally, let's explicitly evaluate our hypothesis..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [],
"source": [
"sig = np.linspace(1,201,20)\n",
"c = 0.0004\n",
"thr = 1.5\n",
"D0 = []\n",
"D1 = []\n",
"for s in range(len(sig)):\n",
" d0 = []\n",
" d1 = []\n",
" for i in range(0,100):\n",
" d0.append(run_model(sig[s],c,thr,0))\n",
" d1.append(run_model(sig[s],c,thr,1))\n",
" D0.append(sum(d0)/100)\n",
" D1.append(sum(d1)/100)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {}
},
"outputs": [
{
"data": {
"image/png": 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bV/yn6Snc+FhaGsPEpCxMTMqiWbMahZ6XlyfGmzexOPrnLWzadB4fPqQq5TUCwPDhbdCqVV1kZuZg+LD1YIwpbd+MMQwfth5Pnm5A69b1MGxYG+zadVlp+5cFNTclIGuToQ5CQkLQo0ePQsuaNGmC1NRUREdHAwByc3OlA4y/tp0mTZoU2c6rV6+kR20IIfJhYKCLVauHAQCWLT2OyMgEREYmoFYtG/w6rQf27J2IN29i8fBhGMdJlUsoFODosemwt6+E8PB4ePdahrw88TefJ5FIEBERj4iIeFy69LDQYwYGuv862mOBqo4W0p/LlNGDk5MV5i/oj2nTe2LvHl+sWXMKb9/GKeolAgAsLY2ln//cOQcQFhar0P0V582bWMyZfQCr1wzHqtVDcfHiA8TEfFB6jm+h/zqXUps3b4aVlRU2bNgAR0dHdO7cGQsWLMCaNWuk/xOIiIiAq6srbGxsUKFChWJHyK9evRqenp6YM2cOHBwcMHDgQPz8889YtWqVsl8SIRpv7tzesLQ0RlhYLFasOCFdPnPmfpw/HwQ9PR2cOj0HpqZluQvJgdWrh6FVq7pIT89C1y6LkZT040dSMjKy8ehRGP788xYWLDiC/v1WwaXBJBiKvGFpMQj9+q5EUNBr6OvrYOy4jgh9tRVHj02Hi4uDHF5R8bZsHQtDQ334+7/EunU+CtvPt6xb5wN//5cwMjLA1m3jOMvxLZwPjlJmfc/VUupQxQ3+DQ8PZxMmTCi0jDHGunTpwgCw5s2bs4CAAJadnc3ev3/Pli5dygQCgXRdBwcHdu/ePZaRkcEYY8zGxqbIgGIArHv37uzZs2csJyeHRUREsClTpnwzx6NHj6RXZimr1PnzpaJydLSUDiLu2NGlyOOGhvrsRcgWJmE+7O69lUxbW8h5ZmXU8OFtpIODu3ZtpPT9e3jUYmfPzSs0SPn6jaWsY0cXuQ7y/umnFkzCfFhW9t/MycmK8/fdycmKZWX/zSTMh/Xv76GUfdLVUt/55tCXn2YXfb5U6lyXLi9kEubDTp+Z+8V1HBwqsQ/JR5iE+bBduycoLRtX1bRpdZadU/AFO3u2N6dZatSwZrv3TJTmkTAf9uz5JjZkSKsfbjRNTcuypA+HmYT5sJkze3H+vn+umTN7MQnzYUkfDjNT07IK3x81N9/55tCXn2YXfb5U6lrduzeWXrZsa2v61XVbt67H8sSnmIT5sIkTu3CeXVFlbV2RxcUfYBLmw/48Op3zPJ+rUqXybPnywezjpz+lTU50zF42fXpPZmT0fZeXHz8xk0mYDwt68AcTCgVyzfsjJRQKWNCDP5iE+bBjf81Q+P6oufnON4e+/DS76POlUsfS19dhEZG7mYT5sPnz+5XoOb/84sUkzIfliU+xNm3qcf4a5F0GBrrs0eP10i98WW96qowSifTYlCnd2LuoPdImJyX1KFu9ehizsqpY4u306tWUSZgPy8k9yWrXrsz56/pv1a5dWXq6tGfPJgp+T6m5+a43h778NLvo86VSx1q8eACTMB/2Nnwn09Mr+Zf4zp3jmYT5sOSPR1jVqhacvw55FY/HY8f+msEkzIfFxu2XqVHgorS0hGzAgBbs8ZP10iYnN+8UO3BwCqtTx/arzzU2NpQenSppY8tFzZ/fj0mYD4uLP8DMLSuysXs3sxoeTeW+H2puvvPNoS8/zS76fKnUreztzaWDNrt0kW2wrLa2kN2+s5xJmA8Lebnlu0+JqFr99lsfJmE+LDvnb9a4sRPneWSptm3rs8tXFhUafHzp8kLWunXxR9cOHprKJMyHPXm6gWlpqe4AcS0tIXvydEPBYOqH29nqYD8298opJtSR7xE1am6+882xtrZm+/fvZ3Z2dpznpJJ/ValShe3fv59ZW1tznoWKqiR17vx8JmE+7Nz5+d/1fBOTsizyXcEprfMX5qvtPEqf6/PYIwnzYUOGtOI8z/dWvXp27OChqSw375T09Tx8tI717+8hHVPTubOr9NRigwYOnGf+VjVo4MDyxAXTXpyMuMGqNZX/lWvU3Hznm2NgYMD279/POnbsyHlOKvlXo0aN2P79+1nZsmU5z0JF9a3q0qWR9NJfe3vz795O3bpVWHrGcSZhPmzlyqGcv67vrTp1bFla+l9MwnzYmjXDOc8jj7KxMWFr1w6XzhMlYT4sInI3mzq1G4uO2cskzIctWzaI85wlKaG2Nrv++gSTMB/2IfWEQo4UytLc8P75Q6khEomQmpoKQ0NDpKWlFXl86NChcHd3x7Fjx/Dy5UuIxd++yyVRfTo6Ohg9ejSSkpKwdOlSpd6ynBBZ6enp4PmLTahc2RS/LzmGOXMO/ND2evZsgmN/zQAADB60Fvv3X5NHTKWpWNEIgffXwMbGBJcvP0LHDvORn685d0AvV64MRo9uj/G/eMHMrJx0eWhoNOrVnYDs7FwO05VMhwlj0GbEAPSz/QBjfWD3rssYPnyDXPfxre/vf6Pm5j94PB6GDBkCDw8P5YcjCpWdnY3Zs2cjMTGR6yiEfNWCBf0x97c+ePcuEdWdxshlCpjP28zJyYOH+0wEBITKIaniaWkJ4Xt1MZo1q4HXr9/DteFkfPqUwXUshdDR0cJPP7XAlKndYGFRHu3azoOf30uuY32TZfVq+OXQDgiEQjzctg771vVFYOArtGwxW66NGTU3X1HSN0dfXx/GxsbFTjlA1E9+fj7i4uLoSBxReVWqmOHZ803Q1dVGzx5L8fff9+SyXR6Ph+MnZqJbNzfExX2ES4NJKjkn0H9t3/4zho9oi5SUDDRynYrQ0GiuIymFUCjgdObxkhIIhZh4dA8qVbXHo/OXcXD6PHh41MKtW8/lPr+gLM0NoALn6pRZMg5IoqKiolJqnT4zl0mYD7t4aaHct21goCu9JDnw/hqZLi3nosaN68gkzIeJ80+zdu2cOc9DVbTajB7KVgf7sQU3zzODcmUVui8aUCy/N4eKiopKadWxo4v0MmdHR0uF7KNyZVMWn3CQSZgPO3R4Kuev+UvVsmVt6dVEU6Z04zwPVdEyr2rHVjy8zVYH+7G6bT0Vvj9Zvr9pVnBCCFEBOjpa+GPdCADAH2tPK+z0S0REPHr1XIa8PDH69nXHjBk9FbKfH2FnZ45jf82AUCjA/v3XsHr1Sa4jkf/gCwTovWgOBFpCBF+9iceXrnIdqQjOuz9lFh25oaKiUsWaO7fg5nTvovYwAwNdhe9v5Mh20lM+Xl4NOX/9n0sk0mPPnm9iEubD/PxXMR0dLc4zURWtlsMGsNXBfmzR3UtMZFxBSX836LSUvN4cKioqKoVX5cqmLCOz4F403t7yv239l2rjxtHSOY9q1OD+5pZ8Pp+d8fmNSZgPi4rey8zNy3OeiapomdjasGVBN9jqYD/WoHMHpe1XrU5LjR07FuHh4cjKyoK/vz9cXFy+uv6ECRPw8uVLZGZm4t27d1izZg10dHSUlJYQQuRvzdrh0NPTwdWrT3Ds2B2l7XfixB24du0JRCJ9nD4zF+XLi5S27+IsWTIAnTq5ICsrB926LkFsbDKneUhRPD4fvRfOhpaODkJu30PQmfNcR/oizro/b29vlp2dzQYPHsycnJzYtm3bWHJyMqtYsfiJ0Pr27cuysrJY3759mY2NDWvdujWLiYlhq1evVkjnR0VFRaXoatfOWTrrs5OTldL3X768iL0J28EkzIf5Xl0svf2/sqtfP3fpXXr79nXn/HOhKr6a/dSbrQ72Y0v8fFlZUxOl7lttTkv5+/uzDRs2SH/m8XgsOjqaTZ8+vdj1N2zYwHx9fQstW7VqFbt9+7ai3hwqKioqhZW2tpCFvtrG+dQINWpYs5TUo0zCfNiGDaOUvv8GDRxYZlbBrft//30g558LVfFVwcqSLQ28zlYH+7FGPbsoff9qcVpKS0sLzs7O8PX1lS5jjMHX1xdubm7FPufevXtwdnaWnrqytbVFhw4dcP78lw+LaWtrQyQSFSpCCFEFU6Z0g4NDJbx//wELFx7hLMfz5+/wU//VkEgkGPdzJ4wc2U5p+zY3L4+Tp2ZDV1cbPj6BmDPnoNL2TUqOx+PBe8FMaOvp4rV/EPyPn+Y60jdx0gGam5szxhhr1KjwzKHLly9n/v7+X3ze+PHjWU5ODsvNzWWMMbZ58+av7mfevHmsOHTkhoqKisuysqoondCyXz/VOA0zc2Yv6SmyZs1qKHx/OjpazM9/FZMwH/bs+SYmEulx/h5QFV9u3t3Y6mA/9nvANVbeshInGdTitNT3NDfu7u4sNjaWDRs2jNWsWZN17dqVRUZGsjlz5nxxP9ra2kwkEkmrUqVK1NxQUVFxXsf+msEkzIddv7GU8yz/rkOHpzIJ82HxCQeZjY1ix1Ts2z+ZSZgPS/pwmNnZff/M51SKrXLmZmyJvy9bHezHmvbrxVkOWZobITiSlJQEsVgMU1PTQstNTU0RFxdX7HMWLVqEAwcOYNeuXQCAZ8+ewcDAANu3b8eSJUuKnek5NzcXubmqP6MqIaT0aNWqLnr2bAKxOB/jf97KdZxChg/bAAeHSmjQwAHnzs/DubP3FbIfC0tj9OvnDrE4H969liEsLFYh+yE/rte86dA1MED4wye4e+Q413FKhLPmJi8vDw8ePICnpydOny44d8fj8eDp6YmNGzcW+xx9ff0iE3Hl5+dLn1tcc0MIIapES0uI9RtGAQA2bTyLZ88iOU5U2OfLsO8HrUX16taoXt1aofubNHEHrl17qtB9kO/n0rUjHJs0Ql52Dv78rfiDCKqIs+YGANasWYN9+/YhKCgIgYGBmDhxIgwMDLBnzx4AwL59+xATE4NZs2YBAHx8fDB58mQ8evQIAQEBsLe3x6JFi+Dj4yP32UcJIUQRJk3qgmrVLBEX9xHz5h3mOk6xYmI+oFnT6RgypBW0tRX3NXH//mv89Zfy7utDZGNoUhFdfp0AALi4aQeSIqM4TiQbTs/ljRs3jkVERLDs7Gzm7+/PGjb8/23Ar1+/zvbs2SP9WSAQsN9++429fv2aZWZmssjISLZx40ZmZGSkkHN2VFRUVPIsC4sKLDXtGJMwHzZgQAvO81BRfa2GbljJVgf7sQmHdzG+gJv7H/27ZPn+5v3zh1JDJBIhNTUVhoaGSEtL4zoOIaQUOfLnNPTu3Qx37rxA82bTuY7DCYtqVVHDoymqezRFeYtKCt1X2odkJEa8Q2JEJBIi3iEx/B0SIiKRmZKq0P1qgnod2uCn5QsgzsvDWu/BiHvzlutIMn1/c3paihBCSouWLWujd+9myM9XvUHEiiTQ0oK9S33UaNEMNTyaoqyZ6befJCcGZY1gZmdbZHnGx08FzU5EQbOTGPEOCeGR+BAVg3yxWGn5VFWZCuXQbeZkAMCVbXtUorGRFTU3hBCiYEKhQDqIeOuWC3jyJJzjRIqlb2QIp2aNUaNFMzg2cYWugYH0sZzMLITeC8CLG7fxLviFwgao8ng8GJmawMTWGhUr28CksjUqVrZGOXMzGJQrC9tyZWFbr3ah5+SLxUiOiS3c9ES8Q2J4JNI+lJ55rrrNnAKDskaICXmFa7v2cx3nu1BzQwghCvbLL16oXt0aCQmfMHeuZt6B19jGCjU9mqF6i6awrVsbfIFA+lhKQiKe37iD5zdu403AA4iVdHuO+LcReOUXWGiZtp4ujK2tCpod2/83PRUrW0PXwAAVbaxQ0cYK1d2bFHpeVlp6oaYn/m0EQm77QZyTo5TXoiy1WnmgbltP5IvFOPrbEkjE+VxH+i7U3BBCiAKZm5fHvPl9AQAzZ+zDp08ZHCeSDx6fj8p1aqKGRzPUaNEMJrY2hR6PefmqoKG5fhsxIaEqcwlxblY23oe+xvvQ10UeM6xojIqVrWFS2QYVba2ljU/5SubQE5WBda3qsK5VXbr+h+j3OLl0DUJu3VXmS1AYfSND9JjzKwDg2u4DiHn5iuNE34+aG0IIUaAVK4dAJNKHv/9L7N17les4P0RbTw+OjRuiRotmqN68CQzKlZU+Js7LQ9j9h3h+4w5e3LiDj7HF34xVlaUmJiE1MQlh9x8WWi7Q0oKxteU/zY4NTGyt4dDIBRUsK2H4plV4du0mTi37Qy1f8791mT4RogrlERcWjitb93Ad54dQc0MIIQrSvHlN9O/vAYlEgp/HbVWZoxeyMDKtiOruTVGjRTM4NHSGUFtb+lhmSipCbt/D8xt3EHrXH9npmnFU6r/y8/IQHxaO+LD/j5XS1tND69FD4D6gL2q2dEdVN1dc2bYbN/cdUctByU7Nm6CBV3tI8vNxdO5i5OflcR3ph9Cl4IQQlcHj8WBlZQxHR0s4OlrA0dECFYwNcef2c/j43EdUVCLXEUtEJNJD27b1sWjxT3B0tMTWLecxduwWrmPJpFYrD3iOGASr6tUKLU96F43nN27j+fXbCH/0FJJ89RyTIS+mdrboMedX2DWoB6BgnM+JxSuLHP1RZbqiMph28jCMTCvixt7D8Fm9getIxZLl+5uaG0KI0olEeoUamKr//NnBoRL09XW++LxHj8LgcyYQZ84E4OHDMCUm/jYrq4rw8nKBV2dXtGhRC9raWgCAxMQUVHMcjY8f0zlOWDICoRBeU8ejWX9vAIBEIkHkk2d4fuM2Xty4g/i3EdwGVFHOndrBa+p4iCqUBwA8OHsRPqs2qMVVVr3mzUCjnl2QGPEOq3oOVNlB0tTcfAU1N4Qoh0DAR+XKptIGxtHRElX/+bO5efkvPi83Nw9v3sQiNDQGr1/FIC0tC63b1EOTJk4Q/OsKnJiYDzjrU9DoXLv2FDk5yj+MXr++HTp3doVX54aoV8+u0GOvXsXgzOkAbNt2UW0mhSxnboYBqxbDpnYNAAWDSm/uO4L05I8cJ1MPuqIyaD9+FBr37g4+n4+stHRc2LAN947+DaaiUwRVdXPBqO3rAQAbB41G+MMnHCf6MmpuvoKaG0Lkq3x5UbENjL29ufToRXFiY5MRGhqDV6ExCA2NRmhoDEJDYxAREY/8/KJfBBUqGKJDB2d4dXZFu3b1UaaMnvSx9PQsXL78CD5nAnHu3H0kJSnmDrQ6Olpo2bI2Ond2RSevhrCwqCB9LD8/H/fuvYTPmQCcOROIV69iFJJBUZyaNUa/pfOgb2SIzJRUHJ61UGOuAlI2y+rV0GPur7CuWXBlVfSLUJxYvALvgl9wnKwwHX19TP37IMpbmOPO4b9wcukariN9FTU3X0HNDSGy09ISws7O7D+nkgqaGWNjwy8+LysrB69evf+nifl/A/PqVQxSUzO/O4+OjhY8PGpJj5pYWhpLH5NIJIWajNDQ6O/eDwAYGxuiY0cXeHVuiDZt6hVpqi5degSfMwE4fz5IYU2VIvEFArT7eSQ8hw8EALwLfoH9U2fj43v1vvKHazw+H416dEGHiaOhb2gIiUSCgBNncO6PLchKVY2/J91mTUHTvj2RHBOLld36Izcri+tIX0XNzVdQc0PIl5mali12LIytrSmEQsEXn/fuXSJCQ6P/OQrzuaIRFZWklCuE6tWzQ+fODeHV2RX16xc9PfR5nM69eyHFHhX6L0dHS+n2GjeuBj6fL30sOjoJPmcC4eMTiOvXuTkdJi8i4wr4acVC2LvUBwDcPnQMPqs2qOXVPqqqTPly6DR5HFy6dAQApCd/xNm1mxB0+jynV89Vca6LcXsLBrlvHfELXvvf5yxLSVFz8xXU3JDSTk9PBw4O5tImpqqjBapWLWhmjIwMvvi8tLTM/x95+deppNev3yMzU3UGIFpaGsPLqyG8OjdEy5a1C50a+/AhFefOBeGsTyAuXXqItLSC/6kKBHw0buwkPRJUtapFoW0+fBgmPRL06JFqDWT+XnYu9fHTioUwNK6A7IwMHJu3FE8uqfd9eFRZFee66D57KswdCprv8IdPcGLJSsS+Uv7fJy1dHUw5fgAVbazgf/w0/lqwTOkZvgc1N19BzQ0pTUxNy6JDhwaoV6+K9CiMjY3JF9fPz89HRERCsWNhYmNV/6qP/xKJ9NCmTT108mqITp1cUKHC/0+h5ebm4fr1YCQmpqB9e+cij1279lR6hCY6OomL+ArB4/HgOWIQ2o4dDr5AgPev3mDf5FlIioziOprG4wsFaNbPG23HDYeOvj7yxWLcPnQMlzfvQk7m95+mLSkj04owqWyDBl06oIFXe3yKT8DKrv3U5v5E1Nx8BTU3RNNVr26Nzp0bonMXVzRqVK3YdZKT0/51FOb/DcybN++Rm6uZpyQEAj7c3Kqhc2dXdO7iWuTozIcPqTh79j7O+gTi8uVH0qM6msSgrBH6Lp0Hp6ZuAIDAk2fx9++rkJetOkfeSgMj04roMm0i6rRpCQBIiU/EqRV/4Onlaz+8bW09PVSsbFUwhURla+ldlStWtoKOvn6hdXeOnYKQ2/d+eJ/KQs3NV1BzQzSNUChAs2Y1pGNEqlQxK/R4YOAr3Lr5DC9fRkvHwqjjwFd5q1rVAp07N4SRkQEuXXoIP7+XJRqPo65s6tTEgJWLUM7cDHnZOTixZCXunzrHdaxSzbFJI3SfNQXG1pYAgNB7Afj799XfPIrG4/NRzty00Gznn+fDKmv6lSOzYjE+RMUgMTIKTy5fwwOfC3J9PYpGzc1XUHNDNIGRkQHatasPr86u6NDBGWXLlpE+lp2dC1/fJ/A5E4CzZ++r5ekkIl/NfuoNr8k/Q6AlRGLEO+ybMouTsR6kKKG2NloO/Qkthw+Elo4OxLm5uLb7IK7u3A8tHe3/Ny42VgV/trWBsbUltHS+fLPLtA/JSIx4988s5u+QGBGJhIh3+BAdo7azfAPU3HwVNTdEXVWubCodKOvuXhNaWv+fGi4h4RPOnb2PM2cCceXKI5Ua4Eu4o1vGAN4LZklPfzy+dBXH5v2OnAzFj+8gsqlgZYlusyZLTxnm5eR8tYER5+YiMTLqXw3MOyRERCIxIkplLjWXN2puvoKaG6IueDweGjSwl17BU7u2baHHX7x4J73EOSDgFSQqegdUwo1Kjg4YuHoJKtpYQZyXhzMr1+PukeNcxyLfUMvTHV1nTEJZM1MABeNxCpqWwkdhPr6PU9m7HiuKLN/fNCs4ISpEV1cbnp510LlzQ3TyalhomgKxOB937rzAmdMB8PEJVJtb+hPlc+3uhW6zpkBLRwfJ72Oxf8ocRD1TrbvjkuIFX72JkNt+qGBlgU+x8Uq5ikoTUXNDCMfKlNFDr15N4NXZFW3a1Cs0cWRqaiYuXHgAnzMBuHDhgdpMvki4oa2nix5zpqFB5/YAgBc37+LwrIUae5pCU4lzcxEfFs51DLVGzQ0hHNLT08HtO8tRp87/TzlFRiZIbxh38+Yz5OVp5qXZRL5MbG0wcPUSmDvYQZKfjwsbtuH67oOc3gWXEK5Qc0MIh9asGYY6dWyRmJiCDet9cOZMAJ4+jeA6FlEz9dq3Rq/5M6Cjr4/UxCQcmPYb3gY94joWIZyh5oYQjnTv3hijRreHRCJBv74rcfXqE64jETUj0NJCl2kT0KRPDwDAa/8gHJzxG9I/fOQ4GSHcouaGEA5YW1fEjp3jAQArlp+gxuYLrGvXQK2WzXHr4DGkJX3gOo5KKVOhHIZvWg2rGk4AgCvb9uDS5p2l7goaQopDzQ0hSiYQ8HHw0FSUK1cG/v4v8dtvh7iOpJLcB/ZFx0ljIRAK4eDWEJsGjaZpAv7Fe/4sWNVwQsbHTzg0cwFC7/pzHYkQlcHnOgAhpc28eX3RtGl1pKRkoF/fVRCr8R1DFUFXVAZD1i1D519/gUAohDgvD1bVq6H3wtlcR1MZ9Tu2QQ2PphDn5mLz0HHU2BDyH9TcEKJEHh61MGu2NwBg1MiNiIiI5ziRarGs7ojJx/aiZkt3iHNzcXzhCmwbOQH5eWLUa98ansMHcR2Rc6IK5dF1xmQAwOUtuxH35i3HiQhRPdTcEKIkFSoY4sDBKeDz+di18zKOHbvDdSSV4ubdDeMPbEcFSwt8iI7BhgEj4ffXSbwNeoS/f18FAOgwYTRqtGjGcVJudZs1BQZljRD9IhTX9x7kOg4hKomaG0KUZPeeCbCwqICQkChMmLCd6zgqQ1tPD/2XzUfPudMg1NbGs2s3sbb3EES/CJWu43/8NO78M3VAv6XzYOZgx1VcTtVu3QJ12rREfp4YR39botaTIBKiSNTcEKIE48d7wcurIbKzc9Gn9wqa2PIfpna2mPjnbtTv2Bb5YjF8Vm3AngkzkJVadN6Y0yv+wOuAIOgaGGDo+uUwKGvEQWLuGJQ1QvfZUwEAV3ftx/vQ1xwnIkR1UXNDiILVrVsFK1YOAQBMnbILwcER3AZSEc6d2mHC4V0wrVIZKfGJ2DJ0HG7sO/zF9SXifOyfMhtJUdGoYGmBgauXgC8UKDExt7pMnwhRhfKIfR0G3217uI5DiEqj5oYQBTIw0MWRP3+Fjo4WTp3yx+bN57mOxDmhjg56zpuOfkvnQUdfD6/8ArHGexDCHz395nMzU1Kxe/w0ZGdkwL6hM7pOn6SExNyr7t4Uzp3aQZKfj6NzlyBfTFNyEPI11NwQokDrN4yCo6MloqISMXzYeq7jcK6ClSV+ObAdbj27QiKR4NKmHdg+ehLSk0t+R934sHAcmj4fEokETfr0gFuvbgpMzD1dURn0nDsNAHBj32FEPQ/hOBEhqo+aG0IUpG9fdwwZ0gr5+fn4qf9qJCcXHUdSmtTydMeko3tg4VQV6ckfsWP0RFzeuvu77qj74uYdXFi/DQDQbeZk2DWoJ++4KqPz1F9gZFoRCeGRuLR5F9dxCFEL1NwQogBVqphhy9axAIDFi47i9u3nHCfijkAoROdpEzD4j2XQE5VB+MMnWN1rEF753f+h7V7btR8Pz1+GQEuIQWt+R3kLczklVh1V3RrCtbsXJBIJjv72O8Q5NBCdkJKg5oYQOdPSEuLwkV9haKiPW7eeYfHio1xH4kxZUxOM3bsZ7gP6AACu7zmEzcPGITUhUS7bP/rb74h6HgKDcmUxdMNK6Ojry2W7qkBHXx+95s8AANw5/BciHn97TBIhpAA1N4TI2eLFP6Fhw6pITk7DT/1XIz+/dE5k6NikESb/tQ+V69RCVmoadv8yDWfXbJTrvVnEOTnYM2E6UhOTYO5gh76//wYejye37XOp46SxKF/JHB+iY3Bh/Vau4xCiVqi5IUSO2rSph1+n9QAADBu6HtHRSRwnUj4en492P4/E8M2rYVCuLKJevMSa3oPx/PpthewvJT4ReybOgDg3F7U83dFm7HCF7EeZqjSohyZ9Cv4eHZu3FLlZ2RwnIkS9UHNDiJyYmpbFvv0FlyZv3nQOp0+XvskMRRXKY9T2dWg9agj4fD7uHf0bGweMQnL0e4Xu993T5/hrwXIAQJvRQ1GnradC96dIWro66L1gFgDg3rGTeBP4gONEhKgfIdcBCNEEPB4P+/ZPhqlpOTx9Go6pU3dzHUnpqjSohwErFsKwojFyMjPx14LleHT+stL2H3TmPMwd7OAxuB/6LJqDpHdRiAl5pbT9y0v78aNgbG2JT3HxOLtmI9dxCFFLdOSGEDmYOrUb2rSph8zMHPTpvQLZ2blcR1IaHo+HlsMGYszODTCsaIy4N2/xR5+hSm1sPju7dhNC7vhBW08XQ9evQJkK5ZSe4UfY1KmJZj/1BgD8tWAZcjIyOU5EiHqi5oaQH9SwYVUsXjIAADDhl+14+TKa40TKo6Wrg6EbVqLjxDHgCwQIOnMB6/oNQ0J4JCd5mESCg9N+Q0J4JMqamWLw2mUQaGlxkkVWQm1t9F44G3w+H/dPn8PLO6XvtCYh8kLNDSE/wNBQH4eP/AotLSGOHr2NXbuUf7SCS836e6O6exPk5eTg2PylODJ7IeeDX7PT0rFr/K/ISk2Dbb3a0rv7qrrWo4fCtEplpCYm4fSKdVzHIUStUXNDyA/YvGUsqlQxQ3h4PEaNLF3jI/hCAZr07QkAOLF4JQJOnOE40f8lRUZh/9Q5kOTno2G3TtJTParKsrojWgzpDwA4vmhFsbOiE0JKjpobQr7T4MGe6NfPHWJxPvr1XYnU1NI1PqJO65Yoa2qC1KQPeHhO9Y5YvfILxJlVGwAAnaeOR1W3hhwnKp5AKETvRXMgEArx6PxlhV0yT0hpQs0NId/B0dESGzaOBgD8NvcgAgJCOU6kfM3/uevwvaN/Iz8vj+M0xbt98CgCT54FXyDAgFWLYGxjxXWkIjyHD0SlqvZIT/6Ik8vWch2HEI1AzQ0hMtLR0cKRP3+FgYEufH0fY/nyE1xHUjqbOjVhXas68nJy4HfsJNdxvur4ohWIeBwMfUNDDNuwErplDLiOJGVe1Q6tRg4BAJz8fTUyPn7iNhAhGkIuzY2RkZE8NkOIWlixYgjq1q2ChIRPGDhgDRhjXEdSuub/jGF5eO4y0pM/cpzm6/Lz8rB34gx8iouHia0NflqxEDw+9/+v4wsE6L1wNgRaQgRfvYnHl65yHYkQjSHzv/Bp06bB29tb+vPRo0fx4cMHREdHo3bt2nINR4iq8fJqiPG/eAEABg/6A3Fxqv3FrghlzUxRq5UHAOD2IfWYFDTtQzJ2/zINuVnZcGrWGB0njuU6EtwH9YVVDSdkpqTixOKVXMchRKPI3NyMHj0aUVFRAIBWrVqhdevWaN++PS5cuICVK+kfKNFclSqVx+49EwAAa1afxMWLpfO2+E369oBAKMRr/yDEvgrjOk6JxYS8wp9zFwMAWgzpD2ev9pxlMbG1Qdt/5sA6tfwPpCV94CwLIZpI5ukXzMzMpM1Np06dcOzYMVy5cgUREREICAiQe0BCVAGfz8fBQ1NRoYIhgoJeY+bM/VxH4oS2ni4a9ewCALh1UD2O2vzbk0tXccXBDq1HDYH3/BlIjHyHd0+fKzUDj89H74WzoaWjg5Db9/DA54JS909IaSDzkZuPHz/CyqrgioN27drB19cXQMEt2AUCgXzTEaIiZs3qBQ+PWkhLy0S/viuRlyfmOhInnL3aQ9/QEEnvohFy6y7Xcb7LpU07EHz1JoTa2hjyxzIYmlRU6v6b9uuFynVrITs9A8f/meyTECJfMjc3f//9Nw4fPozLly+jQoUKuHCh4H8d9erVw5s3b+QekBCuNW9eE/Pm9wUAjBu7FW/exHKciBs8Hk86kPj2oaNqO5CaMYbDMxfg/as3MKxojJFb18LZqz0Myir+wogKlhbo8EvBLQR8Vm/Ap/gEhe+TkNJI5tNSkyZNQkREBKysrDBt2jRkZGQAAMzNzbF582a5BySES3XrVsHpM3MgEAiwf/81HDx4netInHFs2ggmtjbISkvH/VPnuY7zQ3KzsrDnl2mYeGQ3zB3s0O/33yDJz0f446d4cf0Ont24jaTIKLnuk8fjwXvBTGjr6eK1fxD8j5+W6/YJIf/HA6Ce//36TiKRCKmpqTA0NERaGt3inHxZ1aoWuHV7GUxMyuLWrWdo324+srJyuI7FmZHb/oBjY1fc2HcYPv/c+VfdlatkhoZdO6GGRzNYOFUt9FhCeCSeX7+N5zduI+LJMzCJ5If25darG3r+Ng05mVlY1b0/kmNK5xFAQr6XLN/f39Xc2Nvbo0WLFjAxMQH/P/eLWLRokaybUypqbkhJWFtXxO07y2FlVREPHryBZ8vZpW56hX8ztbPFtFOHIcnPx+8deuLj+ziuI8ldWTNT1PBoihoeTWHX0BnCf80mnvHxE17cuovn128j9F4gcrOyZN72r6cOQdfAACeXrsadw8flHZ8QjafQ5mb48OHYsmULkpKSEBcXV+i8O2MMzs7O3xVaWai5Id9iYlIWt+8sh4NDJYSERMG9+QwkJaVyHYtTPedNh1vPrnhy+Rr2T5nNdRyF0zHQh2OTRqjh0RTVmzeBvpGh9DFxbi5eBz7A8+u38eLmHaTEJ35zeyO3roVjk0YIf/gEmwaPUdvxSoRwSaHNTUREBDZv3owVK1b8SEbOUHNDvqZsWQNcv7EUderYIjw8Hs2aTsP798lcx+KUQVkjzL1yGlq6Otg4cBTCHz3lOpJS8QUCVK5XGzU8mqJmi+YwtrYs9HjUi5d4cf02nt+4g5iXr4o836VrR/RZNAd52TlY1XOA3MfyEFJaKLS5SUlJQd26dREeHv4jGTlDzQ35EgMDXVy6vBCNGzshNjYZzZvNQFgYjYvwHD4IHSaMRtTzEPzRZyjXcThnYmuDGi2aoYZ7U9jUrVXo1PynuHg8v3EHz6/fxpv7D2FQ1gjTTh2GnqEIPqs34sbeQxwmJ0S9KbS52blzJ+7fv49t27b9SEbOUHNDiqOjo4UzPnPRunU9JCenwcN9Jp49i+Q6FucEQiFmX/wbRqYVcWjmfDw8e4nrSCqlTPlycGrmhuoezeDY2BU6+nrSx7IzMpCe/BHGVpZ4F/wCGwaMhCQ/n8O0hKg3Wb6/Zb4U/M2bN1i0aBEaNWqE4OBg5OXlFXp8wwbNuIqClB4CAR+Hj/yK1q3rIT09Cx3az6fG5h+127SEkWlFpCYm4clFmtjxv9KTP+L+6fO4f/o8hNrasHd1Rg2PZqjh0RRGJhWha2AAcV4e/py7mBobQpSMyVJv3779YoWFhcm0LQBs7NixLDw8nGVlZTF/f3/m4uLy1fWNjIzYxo0b2fv371l2djYLDQ1l7du3L/H+RCIRY4wxkUgkc1YqzSsej8f27J3IJMyHZWadYB4etTjPpEo14cgutjrYj7UaOZjzLOpUPB6PWVavxjxHDGLVmjbiPA8VlSaUjN/f3AX19vZm2dnZbPDgwczJyYlt27aNJScns4oVKxa7vpaWFgsMDGRnz55ljRs3ZjY2Nqx58+asdu3ainpzqDS81q0bySTMh+XmnWJeXg05z6NKVblubbY62I8tC7rBDMqV5TwPFRVV6S61aW78/f3Zhg0bpD/zeDwWHR3Npk+fXuz6o0aNYm/evGFCobDE+9DW1mYikUhalSpVouaGigFgCxb0ZxLmw8T5p1m/fu6c51G1Grh6CVsd7Me858/kPAsVFRWVLM2NzHNLAcCAAQPw9OlTZGVlISsrC0+ePMFPP/0k0za0tLTg7OwsnXgTABhj8PX1hZubW7HP6dy5M/z8/LBp0ybExcUhODgYM2fOLHIjwX+bOXMmUlNTpRUTEyNTTqKZJk/uirm/9QEAjP95Gw4fvslxItVSztwMtTzdAajn7N+EECJT5zRp0iSWnp7Oli1bxry8vJiXlxdbvnw5S09PZxMnTizxdszNzRljjDVqVPh89PLly5m/v3+xzwkJCWFZWVls586drH79+szb25slJSWx33777Yv7oSM3VP+t4cPbMAnzYRLmw6ZP78l5HlWsTpN/ZquD/dio7es4z0JFRUUFKPi01Nu3b9mAAQOKLB84cCB7+/ZtibfzPc1NaGgoi4yMZHw+X7ps0qRJ7P3794p6c6g0rLy9mzJx/mkmYT5s6dJBnOdRxdLW02OL715mq4P9mFOzxpznoaKiogJk+/6W+VJwc3Nz3Lt3r8jye/fuwdzcvMTbSUpKglgshqmpaaHlpqamiIsrft6a2NhY5OXlQfKvCexCQkJgbm4OLS2tIpelE/Jv7ds748DBKeDz+di29QJmztzHdSSV5NKlA/QMRUiMeIeXd/y4jkMIITKTeczNmzdv4O3tXWR579698fr16xJvJy8vDw8ePICnp6d0GY/Hg6enJ/z8iv+FevfuXdjb24PH40mXVa1aFe/fv6fGhnxVs2Y1cPzETGhpCXHo0A2MG7eV60gqicfjoVn/gn/ftw8dozmQCCFqS6bDQt27d2d5eXnswoULbM6cOWzOnDnswoULLDc3l3Xt2lWmbXl7e7OsrCw2cOBAVq1aNbZ161aWnJzMTExMGAC2b98+9vvvv0vXt7S0ZCkpKWz9+vXMwcGBdejQgcXFxbFZs2Yp5LAWlWZU/fp27FPKUSZhPuz0mblMKBRwnklVy6lZY7Y62I8tvnuZaevpcZ6HioqK6nMp/FLw+vXrswMHDrCgoCAWFBTEDhw4wOrWrftdYceNG8ciIiJYdnY28/f3Zw0b/v9eI9evX2d79uwptH6jRo2Yn58fy8rKYm/evGEzZ84sNAZHzm8OlZqXk5MVS0g8xCTMh129toTp6mpznkmVa9SO9Wx1sB/rNPlnzrNQUVFR/btk+f6WeW4pdUdzS5UelSub4vad5bCwqIDAwFdo5TkH6elZXMdSWWYOdvj174OQ5Ofj9/Y98TG2+LFvhBDCBbnPLSUSiaQbEolEX12XGgaiCszMyuHylYWwsKiAZ88i0aH9fGpsvqH5P2Ntgq/epMaGEKLWStTcfPz4Eebm5khMTMSnT5+KHWTI4/HAGINQKPMFWITIVfnyIly+sgj29pUQFhaLtm1+Q3IyNd1fY1CuLOp3agsAuLX/T47TEELIjylRJ9KyZUskJycDAFq0aKHQQIT8iDJl9HDu/DzUrGmDmJgPaN1qLmJjk7mOpfLcenWFlo4O3gW/QMSTYK7jEELIDylRc3Pr1q1i/0yIKtHR0cKp07Ph6uqIpKRUtGk9FxER8VzHUnkCoRBN+vQAQFMtEEI0g8z3uWnbti2aNGki/Xns2LF49OgRDh06hLJly8ozGyElJhQK8OfRaWjZsg5SUzPRvt08hIREcR1LLdRp5wnDisZIiU/E08vXuI5DCCE/TObmZuXKlTA0NAQA1KxZE2vWrMH58+dha2uLNWvWyD0gId/C4/Gwe88EdOnSCFlZOejstQgPHrzhOpbaaD6gYALRu3+eQL5YzHEaQgj5cTKP/rW1tcWLFy8AAD169ICPjw9mz56NevXq4fz583IPSMi39OjRGD/91AJ5eWL06rkMt2494zqS2rCtVxtW1ashLzsH/sdPcR2HEELkQuYjN7m5udDX1wcAtGrVCpcvXwYAJCcnS4/oEKJMY8Z2AACsWH4C588HcZxGvXw+ahN09gIyPqVwnIYQQuRD5iM3d+7cwZo1a3D37l00bNgQvXv3BlAwx1N0dLTcAxLyNdWqWaJFi9oQi/OxdesFruOolfIW5qjZsjkA4PbBYxynIYQQ+ZH5yM3PP/8MsViMnj17YsyYMXj//j0AoH379rh48aLcAxLyNaNHtwcA+PgEIibmA8dp1EuTvj3BFwgQei8A8WHhXMchhBC5kfnITVRUFLy8vIosnzx5slwCEVJS+vo6GDS4YFb5rVvoqI0sdPT14dq9MwDg1gG6aR8hRLPQ9AtEbfXt6w4jIwO8efMevr6PuY6jVly6doCeqAwSwiMRejeA6ziEECJXNP0CUVujxxScktq29WKxfydJ8Xg8Hpr1Lxgrd+vgUXrvCCEah6ZfIGrJxcUBzs72yM7OxZ49vlzHUStOzZvA2NoSmampeOBDp/MIIZqHpl8gamn0mILLv48du0OTYsqo+U8FR238j59GblY2x2kIIUT+ZL5aavDgwejZs2eR5T179sTAgQPlEoqQrylXrgz69GkGANi6hW4cKQvzqnZwaNQA+WIx7h45wXUcQghRCJmbm5kzZyIpKanI8oSEBMyaNUsuoQj5mkGDPKGnp4PHj9/C3z+U6zhqpflPBTftC/a9gU9xNKkoIUQzydzcWFtbIzy86D0xIiMjYW1tLZdQhHzNqNHtANDl37IqU74c6ndsA4Bm/yaEaDaZm5uEhATUrl27yPI6dergwwe6iRpRrJYta8PR0RKpqZk4dOgG13HUipt3Nwi1tRH55Bkin9D8W4QQzSVzc3PkyBGsX78eHh4e4PP54PP5aNGiBdatW4c//6SbgRHFGjO2IwDgwP5ryMigwbAlJdDSQuPe3QHQURtCiOaT+aY0c+fOReXKlXH16lWIxWIAAJ/Px/79+2nMDVGoSpXKo0sXVwDAFjolJZO67VrB0LgCPsUn4Knvda7jEEKIQsnc3OTl5aFPnz6YO3cu6tSpg6ysLAQHB+Pdu3eKyEeI1PDhbSAUCnDr1jO8eEF/32Tx+fLvu0eOQyLO5zgNIYQo1nffTjgiIgI8Hg9hYWHIz6dflkSxBAI+ho9oC4AGEsuqinNdWFZ3RG5WNvyPn+Y6DiGEKJzMY2709PSwc+dOZGZm4vnz59IrpNavX4/p06fLPSAhAODl1RCWlsZISPiEv/++x3UctdLsn6M2QT4XkJmSynEaQghRPJmbm6VLl6JOnTrw8PBAdvb/B3T6+vqid+/ecg1HyGef70i8e9cV5OaKOU6jPuq29UTNls0BAHcOHeM4DSGEKIfMp6W6du2K3r17IyAgoNCEe8+fP4ednZ1cwxECAPb25mjTph4kEgm2bbvIdRy1Ua2ZG/otnQ8+n487h/9C/NsIriMRQohSyHzkpmLFikhISCiy3MDAgGYXJgoxalTB7N8XLjxAZGTRv3ukqCrOdTF4zVIItIR4eO4STi1by3UkQghRGpmbm6CgIHTs2FH68+eGZvjw4fDz85NfMkIA6OpqY/AQTwA0kLikLKtXw7CNq6Clq4PnN+7gyJxF9B8PQkipIvNpqVmzZuHChQuoXr06hEIhJkyYgOrVq6Nx48Zwd3dXREZSinl7N0WFCoaIiIjHhQsPuI6j8kyrVMbIrWuhW8YAbwIfYP/UOXTpNyGk1JH5yM3du3dRt25dCIVCBAcHo02bNkhISICbmxsePnyoiIykFBs9puCU1I7tlyCRSDhOo9rKW5hj1Pb1MChXFu+CX2D3+GkQ5+RwHYsQQpSOB6BUHa8WiURITU2FoaEh0tLSuI5DvqJu3Sp4+GgdcnPzYG01FAkJn7iOpLJExhXw8/6tMLayROzrMGweMpYu+yaEaBRZvr9LdFpKJBKVeOfUMBB5GfPPUZsTJ+5RY/MV+kaGGLV9HYytLJEUFY3toyZSY0MIKdVK1Nx8+vSpxAMShcLvvukxIVKGhvro198DAA0k/hodfX2M2LIW5g52SIlPxLYRvyA1MYnrWIQQwqkSdSItWrSQ/rly5cpYtmwZ9u7dK706ys3NDYMGDcLMmTMVk5KUOgMGtICBgS6ePYvE7dvPuY6jkoQ6Ohi6YQWsa1VHxsdP2DbyFyTHxHIdixBCVAKTpXx9fVmfPn2KLO/bty+7fv26TNviokQiEWOMMZFIxHkWqi9X8LNNTMJ82LhxHTnPoorFFwrY0PUr2OpgP7bEz5dZVq/GeSYqKioqRZYs398yXy3l5uaGoKCgIsuDgoLQsGFDWTdHSBHNmtVAjRrWyMjIxoED17mOo3J4PB76Lp6LGi2aIS87B7vG/4roFy+5jkUIISpD5uYmKioKI0aMKLJ8+PDhiIqKkksoUrp9vvz78KEbSE3N5DiN6uk+eyrqd2yL/Dwx9k2ehbdBj7iORAghKkXm0b+TJk3CiRMn0L59ewQEBAAAGjZsCAcHB/To0UPuAUnpYmJSFj16NAYAbKGBxEV0mDAGjXt3h0QiweFZCxBym2ZIJ4SQ/5L5yM2FCxfg4OCAM2fOoHz58ihfvjx8fHxQtWpVXLhAX0bkxwwb1hra2lrw93+Jx4/fch1HpbQcNgCewwcCAE4sWoHHF305TkQIIarpu67bjomJwZw5c+SdhZRyfD4fI0e1A0CXf/+XW69u6DhxLADAZ9UG+B8/zXEiQghRXTIfuSFEUdq3d4aNjQmSk9Nw7NgdruOojHod2qD7nKkAgCvb9+DGvsMcJyKEENVGzQ1RGZ8HEu/d44vs7FyO06iG6u5N0XfJXPD5fNw5chwXN2znOhIhhKg8am6ISqhc2RTt2zsDALZupVNSAGDnUh8DVy+GQChE0JkLOLV0DdeRCCFELVBzQ1TCyJFtwefzcfnyI7x5Q3fZtapZHUM3rICWjg6Cr97E0d+WlHgKFEIIKe2ouSGc09YWYuiw1gCArVvOc5yGe2b2VTBiyxroGhjglf99HJz2GyT5+VzHIoQQtSFzc2NiYoL9+/cjJiYGeXl5EIvFhYoQWXXv3hgmJmURHZ0EH59AruNwqoKlBUZtXweDskaIfPIMe36ZDnEujT8ihBBZyHwp+N69e2FtbY1FixYhNjaWDpWTHzZmbAcAwM4dl5CfL+E4DXcMTSpi1I71MKxojPev3mDH2CnIzcriOhYhhKgdmZubpk2bolmzZnjy5Iki8pBSpmZNGzRrVgNicT527rzMdRzOGJQ1wqjt61DBshISI6OwfeQEZKWmch2LEELU0nfNLcXj8RSRhZRCo0cXXP59+nQA3r9P5jgNN3QM9DFi61qY2dniU1w8to34BWkfSud7QQgh8iBzczNx4kQsW7YMNjY2ishDShEDA138NKAFgNI7kJjH52PQmt9hVcMJ6ckfsW3kBHyMjeM6FiGEqDWZT0sdPXoU+vr6CAsLQ2ZmJvLy8go9XqFCBbmFI5qtf38PGBrq49WrGFy79pTrOJxoOXQAHBu7IiczC9tHT0RCeCTXkQghRO3J3NxMnDhRATFIafT5jsTbtl4olQPTberURNtxwwEAJ5euRkzIK44TEUKIZpC5udm/f78icpBSplEjR9StWwVZWTnYu/cq13GUTldUBj8tXwiBUIiH5y/j/qlzXEcihBCN8V2zgvP5fHTt2hVOTk4AgOfPn+PMmTOQSErvZbxENqPHFFz+ffToHXz8mM5xGuXrNW8GyluYIykqGscXLuc6DiGEaBSZmxs7OzucP38eFhYWCA0NBQDMnDkTUVFR6NixI96+fSv3kESzlC8vgrd3UwDAls2l74iFa4/OqNvWE/l5YhycNg85GZlcRyKEEI0i89VS69evR1hYGKysrODs7AxnZ2dYW1sjPDwc69evV0RGomGGDGkFXV1tPHjwBvfvv+Y6jlKZVqmMrtMnAQDOr9+KqGcvOE5ECCGaR+YjN+7u7mjUqBE+fvwoXZacnIwZM2bg7t27cg1HNA+Px8Oo0e0AAFu3lK7Zv4U6OhiwajG09XQRetcfN/cd5joSIYRoJJmP3OTk5EAkEhVZXqZMGeTSHDjkG1q3rgt7+0r49CkdR47c5DqOUnWeOh7mDnZI+5CMI7MXlcorxAghRBlkbm7Onj2L7du3o2HDhtJlrq6u2Lp1K86cOSPXcETzfB5IfGD/dWRm5nCcRnlqtnRHkz49AACHZy6gOxATQoiCMVnKyMiInTp1iuXn57Ps7GyWnZ3NxGIx+/vvv5mhoaFM2+KiRCIRY4wxkUjEeZbSVpaWxixPfIpJmA9zcrLiPI+yqqyZKVt05xJbHezHOk0ax3keKioqKnUsWb6/ZR5zk5KSgq5du8Le3h7VqlUDAISEhCAsLEzWTZFSZsSIthAIBLhxIxghIVFcx1EKvkCA/svmQ9/IEO+CX+DChm1cRyKEEI0n82mpz968eYOzZ8/i7NmzP9zYjB07FuHh4cjKyoK/vz9cXFxK9LzevXuDMYaTJ0/+0P6J4gmFAgwb3hpA6ZpHqvWoIajiXBfZ6Rk4MG0u8sViriMRQojGK9GRm9WrV2Pu3LnIzMzE6tWrv7rulClTZArg7e2NNWvWYPTo0QgICMDEiRNx6dIlODo6IjEx8YvPs7GxwapVq3Dr1i2Z9ke40aWLKypVqoC4uI84edKf6zhKUaVBPbQaORgAcHzhciRHv+c2ECGElBIlam7q1asHLS0t6Z/lafLkydixYwf27t0LABg9ejQ6duyIoUOHYvny4u/cyufzcejQIcybNw/NmjVD2bJlv7h9bW1t6OjoSH8u7kovonhjxhYMJN696wry8jT/6IW+kSH6L5sPvkCAwJNn8ejCFa4jEUJIqcLZ4CAtLS2Wl5fHunTpUmj53r172alTp774vPnz57O///6bAWB79uxhJ0+e/OK68+bNY8WhAcXKq9Gj2zMJ82F54lPM2roi53mUUUPWL2erg/3Y9DN/Mm09Pc7zUFFRUal7yTKgWOYxN7t27UKZMmWKLNfX18euXbtk2paxsTGEQiHi4+MLLY+Pj4eZmVmxz2nSpAmGDRuGESNGlGgfS5cuhaGhobQsLCxkykh+jIdHLaxbPxIAMGf2Qbx79+VTjZqiSd+eqNmiOcS5uTjw61zkZmVxHYkQQkoVmZubQYMGQU9Pr8hyPT09DBw4UC6hvqRMmTI4cOAARowYgQ8fPpToObm5uUhLSytURDlsbU1x7K8Z0NIS4tChG1i+/DjXkRTOvKo9vKb8DADwWb0R70NL1/QShBCiCkp8KbhIJAKPxwOPx4NIJEJ2drb0MYFAgA4dOiAhIUGmnSclJUEsFsPU1LTQclNTU8TFxRVZ387ODra2tvDx8ZEu4/ML+rO8vDw4OjrSxJ0qokwZPZw6PQfGxoa4f/81RgzfwHUkhdPW08XAVYuhpaOD59dv487hv7iORAghpVKJm5tPnz6BMQbGGF69elXkccYY5s2bJ9PO8/Ly8ODBA3h6euL06dMACuYe8vT0xMaNG4us//LlS9SsWbPQssWLF0MkEmHChAmIiiod905RdTweD/sPTEatWpURG5uMbl0XIztb86fm6Dp9EkxsbZASn4ijvy3hOg4hhJRaJW5uWrRoAR6Ph2vXrqFHjx5ITv7/7eNzc3MRGRmJ2NhYmQOsWbMG+/btQ1BQEAIDAzFx4kQYGBhgz549AIB9+/YhJiYGs2bNQk5ODp4/f17o+Z8+fQKAIssJdxYu7I+uXRshOzsX3bouwfv3mj/VQN22nnDt0RkSiQSHZsxDxqcUriMRQkipVeLm5vP9ZGxtbREVFSW3Sf+OHTuGihUrYuHChTAzM8Pjx4/Rrl076Skua2trSCQSueyLKJ63d1PMntMbADByxEYEBhY9yqdpyluYo+e8GQAA3+17ERb0iONEhBBSuvFQcNmUTIyMjDBs2DA4OTkBKDhqsnv3bqSmpso7n9yJRCKkpqbC0NCQBhfLWf36drh1ezn09XWwcsUJTJ++l+tICscXCvDz3q2wqVMT4Q+fYPPQcZDk53MdixBCNI4s398yXy3l7OyMsLAwTJo0CeXLl0f58uUxefJkhIWFyf0Gf0R9mJqWxclTs6Gvr4Pz54Mwc+Z+riMpRfufR8KmTk1kpqbi0Iz51NgQQoiKkOkmOrdu3WK7d+9mAoFAukwgELA9e/awmzdvcn6Tn28VzQou/9LWFrI7d1cwCfNhL0K2MENDfc4zKaOqurmw1cF+bHWwH6vl6c55HioqKipNLhm/v2XbeGZmJnN0dCyy3MnJiWVkZHD+4uX85lCVoHbtnsAkzId9SD7C7O3NOc+jjCpTvhybd/0sWx3sx3rM+ZXzPFRUVFSaXgq9Q3Fqaiqsra2LLLeysqIxLKXQxIldMGRIK+Tn56O393K8eSP7FXPqhsfjoc+SuTA0roDY12E4vXI915EIIYT8i8zNzdGjR7Fr1y54e3vD0tISlpaW6N27N3bu3IkjR44oIiNRUW3a1MPKVUMAAFMm74Kv72NuAylJ8wF94NTUDblZ2Tjw61yIc3K4jkQIIeQ/ZDospKWlxf744w+WnZ3NxGIxE4vFLCsri61Zs4Zpa2tzftjqW0WnpeRTDg6VWPLHI0zCfNjOneM5z6OssqxejS1/eIutDvZjjXp24TwPFRUVVWkpWb6/v+tScKBgLik7OzsAQFhYGLLUZHJAuhT8xxkZGcA/YBUcHS1x9+4LeLacjdxcMdexFE7HQB+Tj+2DsbUlnly+hv1TZnMdiRBCSg1Zvr9LfBO//8rKysKzZ8++9+lETfH5fBz581c4Olri3btE9Oi+tFQ0NgDQffZUGFtbIvl9LP5asIzrOIQQQr5A5uZGR0cH48ePR4sWLWBiYiKduPIzZ2dnuYUjqmf58sFo184ZmZk56NplMRISPnEdSSmcvdqjgVd75IvFODRtHrJS6agfIYSoKpmbm127dqFNmzY4fvw4AgMD5TYNA1F9Awe2xJSp3QAAgwetxePHpWMGdmMbK/SYMxUAcGnzTkQ8CeY4ESGEkK+Rubnp1KkTOnTogHv37ikiD1FRrq6O2Lb9ZwDAooV/4vjxuxwnUg4en4++i+dCR18frwOCcG3XAa4jEUII+QaZLwWPiYmhgbiljIVFBZw8NRs6Olo4edIP8+cf5jqS0jTt1wuV69ZCdnoG/py9CIwmcSWEEJUnc3MzZcoULF++vNgb+RHNo6eng5OnZsPMrByePg3HwAFrSs2pyAqWFujwy2gAwJlV6/EpPoHjRIQQQkpC5tNSQUFB0NXVxdu3b5GZmYm8vLxCj1eoUEFu4Qj3du4ajwYNHJCYmIIunRcjIyOb60hKwePx4L1wFrT1dPHK/z4CTpzhOhIhhJASkrm5OXLkCCwsLDBr1izEx8eXmv/Fl0YzZvRE377uyMsTo1fPZYiMLD1HLhr16gp7l/rIyczEX/OXch2HEEKIDGRubho3bgw3Nzc8ffpUEXmIivDyaojFSwYAAMb/vA23bpWeexqVMzdDp8njAADn/tiC5BjNny+LEEI0icxjbl6+fAk9PT1FZCEqokYNaxw8NAV8Ph+bN53D9u0XuY6kVL3mTYeugQHePniMe3+e4DoOIYQQGcnc3MyYMQOrV6+Gu7s7ypcvD5FIVKiIeitfXoTTZ+ZCJNLHtWtPMHHiDq4jKZVL145wbNIIedk5ODrvdzrtSgghakjm01IXLxb8L/7q1auFlvN4PDDGIBR+94wOhGNCoQDH/pqOKlXM8PZtHLx7LYdYnM91LKUxNKmILr9OAABc3LgdSZFRHCcihBDyPWTuRFq0aKGIHEQFrF07HC1b1kFaWia6dF6E5OTSdT+jnnOnQc9QhMinz3HzwJ9cxyGEEPKdZG5ubt26pYgchGODB3ti3M+dIJFI8FP/1Xj+/B3XkZSqXoc2qOHRFOLcXBz9bQndrI8QQtSYzGNuiGaaNLkrAGDB/CPw8QnkNoySlalQDt1mTgYAXN66G/Fh4RwnIoQQ8iOouSEQifRQo0bBHadL25VRANBt5hQYlDVCTMgrXN9zkOs4hBBCfhA1NwQuLg7g8/kID49HfPwnruMoVa1WHqjb1hP5eWL8OXcxJKVoADUhhGgqam4IGjWqBgDw93/JcRLl0jcyRI85vwIAru0+gPehrzlORAghRB5+6LrtChUqwNXVFQKBAPfv30dcXJy8chElcm3kCAAI8A/lOIlydZk+EaIK5RH7OgxXtu3hOg4hhBA5+e7mpnv37ti1axdevXoFLS0tODo6Yty4cdi7d68c4xFlaPRPc+Nfipobp+ZN0MCrPST5+Tj62+/I/88EsIQQQtQbK0kZGBgU+vnJkyfMwcFB+nOHDh1YTExMibbFZYlEIsYYYyKRiPMsqlBVqpgxCfNhWdl/M21tIed5lFG6ojLsN98zbHWwH+s0aRzneaioqKiovl2yfH+XeMzNgwcP0LlzZ+nPYrEYJiYm0p9NTU2Rm5tb0s0RFfH5qM3Dh2HIzRVznEY5Ok8ZDyPTikiMeIeLm3dyHYcQQoiclfi0VNu2bbFp0yYMHjwY48aNw4QJE3D06FEIBAIIhUJIJBIMHjxYgVGJIjQqZeNtqrq5wLVHZ0gkEhz9bQnEOTlcRyKEECJnJW5uIiMj0alTJ/Tp0wc3b97E+vXrYW9vD3t7ewgEArx8+RI59EWhdlxL0ZVSOvr66DVvJgDg7pHjCH/0lONEhBBCFEHmS8H//PNPuLi4oE6dOrhx4wb4fD6ePHlCjY0a0tXVRt26tgBKx2DiDhPHoLyFOT5Ex+D8uq1cxyGEEKIgMl0t1b59ezg5OeHJkycYMWIEmjdvjkOHDuHChQv47bffkJ2draicRAHq17eDlpYQsbHJePcukes4ClXFuS6a9u0JAPhr/jLkZmVxnIgQQoiilPjIzapVq7Bnzx64uLhg27ZtmDNnDm7duoX69esjOzsbjx49Qrt27RSZlcjZ5/E2fn6afUpKS1cHvRfOBgD4/XUKrwOCOE5ECCFE0Up0CVZSUhKrX78+A8DKlSvHQkNDCz3u5OTEbt26xfmlYt8quhT8/3X02HQmYT7s11+7c55FkeU1dTxbHezH5l45xXTLGHCeh4qKiopK9lLIpeAZGRmwtS0Yn2FlZVXkFFRISAiaN29e0s0RFVAabt5nXbsGmg/oAwD4a+FyZKdncJyIEEKIopW4uZk5cyb279+PmJgY3Lx5E3PnzlVkLqJgFhYVYGVVEWJxPh48eMN1HIUQamuj98LZ4PP5uH/6PF7e9uM6EiGEECUo8YDiw4cP4+LFi6hSpQpev36NlJQUReYiCvb5qM3TpxHIzNTMK91ajxoCMztbpCYm4fSKdVzHIYQQoiQyXS2VnJyM5ORkRWUhSvR5JnBNvXmfZXVHtBj6EwDgxOKVyEpN5TgRIYQQZZH5PjdEM7hKx9to3pVSAqEQvRfOhkAoxKMLV/Ds2i2uIxFCCFEiam5KIS0tIZyd7QBo5mDilsMHopKjA9KTP+Lk0jVcxyGEEKJk1NyUQrVrV4aeng6Sk9Pw+vV7ruPIlZmDHVqNHAwAOLl0DTI+fuI0DyGEEOWj5qYU0tRLwPkCAXovnAWhlhaeXbuJxxd9uY5ECCGEA9TclEKuGjoTuPugvrCuWR2Zqak4vmgl13EIIYRwhJqbUkgTj9yY2Nqg7djhAIDTy9chLekDx4kIIYRwhZqbUsbY2BD29pUAAIGBrzhOIx88Ph+9F86Glo4OQu74IejMea4jEUII4RA1N6WMq2vBUZsXL94hJUUzpiKo1coDlevWQnZ6Bo4vWM51HEIIIRyj5qaUaaSB422a9O4OALh18Cg+xcVznIYQQgjXqLkpZVw1bLyNia0N7Bs6I18shv/xU1zHIYQQogKouSlF+Hw+GjasCkBzmhs3724AgBc37yIlPpHjNIQQQlQBNTeliJOTJQwN9ZGenoXnz99xHeeHaevpwqVLRwDAvaN/c5yGEEKIqqDmphT5PFlmYOArSCQSjtP8uHrtW0NPVAZJ76Lx2v8+13EIIYSoCGpuShFNG0zs9s9AYr9jJ8EY4zgNIYQQVUHNTSmiSYOJrWpWh1X1asjLyUHgqbNcxyGEEKJCqLkpJQwN9VG9uhUAzWhuGvcuGEj85NI1ZKakcpyGEEKIKqHmppRwcXEAn89HWFgsEhNTuI7zQ/QMDVGvXWsAwL1jNJCYEEJIYdTclBJubgWDiTXhqI1Llw7Q0tVBzMtXiHzyjOs4hBBCVAw1N6WEJs0E7tarKwDg3rGT3AYhhBCikqi5KSU0ZSZwB9cGMLG1QXZ6Bh6evcR1HEIIISqImptSwN7eHBUqGCI7OxdPnoRzHeeHfL4jcZDPBeRmZXGchhBCiCqi5qYU+HzzvgcP3iAvT8xxmu9naFIRNVs2B0B3JCaEEPJlKtHcjB07FuHh4cjKyoK/vz9cXFy+uO7w4cNx69YtJCcnIzk5GVeuXPnq+kRzbt7XqLsXBEIhwh48QnyYeh+BIoQQojicNzfe3t5Ys2YNFixYgPr16+PJkye4dOkSKlasWOz6Hh4eOHLkCFq0aAE3NzdERUXh8uXLqFSpkpKTqw9NuHkfXyCAa88uAAC/ozSQmBBCyNcxLsvf359t2LBB+jOPx2PR0dFs+vTpJXo+n89nKSkpbMCAASVaXyQSMcYYE4lEnL5uZZWeng7LzTvFJMyHWVoac57ne6tmS3e2OtiPzb9xjgm0tDjPQ0VFRUWl3JLl+5vTIzdaWlpwdnaGr6+vdBljDL6+vnBzcyvRNvT19aGlpYXk5ORiH9fW1oZIJCpUpYmzsx2EQgFiYj4gOjqJ6zjf7fMdiQNPnkV+Xh7HaQghhKgyTpsbY2NjCIVCxMfHF1oeHx8PMzOzEm1j+fLleP/+faEG6d9mzpyJ1NRUacXExPxwbnWiCZeAG1tbwrGxKyQSCfz+Osl1HEIIISqO8zE3P2L69Ono06cPunXrhpycnGLXWbp0KQwNDaVlYWGh5JTccv3nSqkA/5ccJ/l+br0Kjtq8vOOHj+/jOE5DCCFE1Qm53HlSUhLEYjFMTU0LLTc1NUVc3Ne/xKZMmYIZM2agVatWCA4O/uJ6ubm5yM3NlUtedeTmpt5HboQ6OnDp2hEAcI8GEhNCCCkBTo/c5OXl4cGDB/D09JQu4/F48PT0hJ+f3xef9+uvv2Lu3Llo164dHjx4oIyoasnS0hiVKlWAWJyPBw/CuI7zXeq0aQmDskZIjonFyztf/jtBCCGEfMbpkRsAWLNmDfbt24egoCAEBgZi4sSJMDAwwJ49ewAA+/btQ0xMDGbNmgUAmDZtGhYuXIh+/fohIiJCetQnPT0dGRkZnL0OVfR5vM2TJ+HIyir+tJ2qa9K7OwDA//hpMImE4zSEEELUAefNzbFjx1CxYkUsXLgQZmZmePz4Mdq1a4eEhAQAgLW1NST/+lIbM2YMdHR0cOLEiULbmT9/PhYsWKDU7KpO3W/eZ1GtKmzq1IQ4Lw8BJ89wHYcQQoia4Ly5AYBNmzZh06ZNxT7WokWLQj/b2toqI5JGUPeb97n9c/l38JXrSP/wkeM0hBBC1IVaXy1FvkxLSwhnZ3sAgL8aXimlW8YA9Tu0BQDcO0YDiQkhhJQcNTcaqk4dW+jqauPDh1S8eRPLdRyZOXu1h46+HmJfh+Htg8dcxyGEEKJGqLnRUOp+877G3gWnpPz+OsVtEEIIIWqHmhsN1cjt88371K+5qeJcF2b2VZCTmYUHPhe4jkMIIUTNUHOjoT4fufHzU7/xNp+P2jw8fwnZ6XR5PyGEENlQc6OBTEzKokoVM0gkEty//5rrODIpU6EcarUuuELOj+5ITAgh5DtQc6OBXF2rAgBevIhCamomx2lk07CrF4RaWoh88gwxL19xHYcQQogaouZGA6nrzft4fD7cvLsCoMu/CSGEfD9qbjSQut68r1pTN5SvZI7MlFQ8vnSV6ziEEELUFDU3GobP56Nhw4LTUup2877G/9yROPDUWYhz1HMuLEIIIdyj5kbD1KhhjTJl9JCamomQkGiu45RYeQtzVGvqBgDwo1NShBBCfgA1Nxrm83ibwMBXhSYcVXWNenYFn89H6L0AJL1Tn6aMEEKI6qHmRsOo42BigZYWGnbrBAC4R5d/E0II+UHU3GgYdRxMXLuVB0QVyuNTfAJe3LzDdRxCCCFqjpobDWJkZIDq1a0BAAEB6tPcuP0zkDjg+GlI8vM5TkMIIUTdUXOjQT5fJfXmzXskJaVynKZkzOyrwM65HvLFYvj/7cN1HEIIIRqAmhsNoo4zgbv9M4/U8+u3kZqQyHEaQgghmoCaGw3iqmaDibX19NDAqz0AuiMxIYQQ+aHmRoOo25Gb+p3aQreMARIj3uFNQBDXcQghhGgIam40hINDJZQvL0JWVg6ePo3gOk6JNP7nlNS9v06CMcZxGkIIIZqCmhsN8fmozYMHYcjLE3Oc5tts6tSERbWqyMvOwf1T57mOQwghRINQc6MhGjWqBkB9xts09u4OAHh8yRdZqepxZRchhBD1QM2Nhmjk9nm8jepPlqlvZIg6bVsCAO7++TfHaQghhGgaam40gL6+DmrXrgxAPQYTN+zaCVo6Ooh68RJRz15wHYcQQoiGoeZGAzRo4ACBQIDo6CTExHzgOs5X8Xg86b1t/I7SURtCCCHyR82NBvg8mNjPT/VPSTk0coGxtSWyUtPw6MIVruMQQgjRQNTcaAB1unlfkz4FA4mDfC4gNyub4zSEEEI0ETU3GkBdbt5X1tQE1d2bAgD86I7EhBBCFISaGzVnbV0R5ublkZcnxsOHYVzH+SrXnl3AFwjw5v5DxL+N4DoOIYQQDUXNjZr7fNTm8eNwZGfncpzmy/hCAVy7ewGggcSEEEIUi5obNff/m/ep9mDimi2aw8ikIlKTPiD46k2u4xBCCNFg1NyoOVc1GW/TpE8PAEDg3z7IF6v+9BCEEELUFzU3akxbW4j69e0AqHZz02bMMNg3dEa+WAz/46e5jkMIIUTDUXOjxurWrQIdHS0kJqbg7ds4ruMUq/mAPmg7djgA4PTyP/AxVjVzEkII0RzU3KgxVb8EvGHXTugybQIA4Py6rbj75wmOExFCCCkNqLlRY6p8877abVqi1/wZAIDruw/i6s59HCcihBBSWlBzo8Y+XymlajOBOzZphP7L5oMvEMDv+CmcXbuJ60iEEEJKEWpu1JSpaVnY2ppCIpHg/v3XXMeRsq1XG4PXLoVQSwuPLlzBiUUruY5ECCGklKHmRk25uhacknr+/B3S0rI4TlPAwqkqhm1aDW09Xby4dRdHZi0Ek0i4jkUIIaSUoeZGTTVSsfE2JrY2GLn1D+iJyiAs6BH2T5lN97MhhBDCCWpu1JQq3byvXCUzjNqxHmXKl0PU8xDs+nkq8rJzuI5FCCGklKLmRg0JBHw0bFgVAPfNjahCeYzavh5lTU0QFxaOHaMnIScjk9NMhBBCSjdqbtRQzZo2MDDQRUpKBkJCojjLoWcowsjt61DRxgofot9j28gJyPiUwlkeQgghBKDmRi19Hm8TGPgKjDFOMmjr6WH45tWoVNUeqYlJ2DbiF6QmJHKShRBCCPk3am7UkKt0JnBuTkkJtbUxZP1yVK5TCxmfUrBt5AR8iI7hJAshhBDyX9TcqCEup13gCwQYsHIhqjZyQXZGBnaMmYy4N2+VnoMQQgj5Empu1Ey5cmVQrZolAOU3NzweD70XzkbNlu7Iy8nB7vHTEPXshVIzEEIIId9CzY2a+XyV1KtXMUhOTlPqvrvOmIQGndsjXyzG/ilzEHb/oVL3TwghhJQENTdqhqtTUu1+Homm/XpBIpHgyOxFeHHzjlL3TwghhJQUNTdqhouZwD0G9UPrUUMAAH8vXoVH5y8rbd+EEEKIrKi5USM8Hk86p5Syjty49ugMr6njAQBn126C318nlbJfQggh5HtRc6NGqla1QLlyZZCZmYPg4AiF769uW0/0/G06AODqzv24vvugwvdJCCGE/ChqbtTI5/E2QUGvIRbnK3Rf1Zq5od/S+eDz+bh39G+cX7dFofsjhBBC5IWaGzWirJnAqzjXxeA1SyHQEuLhuUv4e8kqhe6PEEIIkSdqbtSIMmYCt6xeDcM2roKWrg6e37iDI3MWcTbFAyGEEPI9qLlREwYGuqhVywaA4pob0yqVMXLrWuiWMcDrgCDsnzoHEgWf/iKEEELkjZobNdG4sRMEAgHevUtEbGyy3LdvXtUeo7avh0G5sngX/AJ7fpkOcU6O3PdDCCGEKJqQ6wDky6pVs0Tnzq7w6twQbm4Fk2XK66gNXyBA5bq1UMOjGWp4NEXFytYAgNjXYdgxZhJyMjPlsh9CCCFE2ai5USECAR9NmlRH584N4dXZFQ4OlQo9HhT0GitXnPju7evo68OxiStqeDSDU/PGMChrJH1MnJuLl3f9cWLRSmSmpH73PgghhBCuUXPDMZFID23b1odXZ1d07NgA5cuLpI/l5OTh6tUn8DkTgLNn7yMm5oPM2y9raoLqHk1Rw6MZ7BvWh1BbW/pYxqcUvLh5F89v3Mare4F0tIYQQohGoOaGA1ZWFeHl5QKvzq5o0aIWtLW1pI8lJaXi7Nn78DkTgCtXHiM9PUvm7VtWd/zndFMzWDhVLfRYYsQ7PLt+G89v3Ebkk2eQ5NOAYUIIIZpFJZqbsWPH4tdff4WZmRmePHmC8ePH4/79+19cv2fPnli0aBEqV66M169fY/r06bhw4YISE8uufn076fiZevXsCj328mU0fM4E4MyZQPj5vYREIpFp20Jtbdg3rI8aHs1Q3aMpypqaSB+T5Ocj4nEwnt+4g+c3biMx4p1cXg8hhBCiqjhvbry9vbFmzRqMHj0aAQEBmDhxIi5dugRHR0ckJiYWWd/NzQ1HjhzBzJkzcfbsWfTr1w+nTp1C/fr18fz5cw5eQfF0dLTQsmVtdO7sik5eDWFhUUH6WH5+Pu7eDYHPmUD4+ATi1asYmbdvUK4snJo1Rg2PpnBs4godfX3pYzmZmQi9G4DnN+4g5PY9ZHz8JI+XRAghhKgFHgBO79Dm7++P+/fvY/z4gskZeTweoqKisGHDBixfvrzI+n/++ScMDAzg5eUlXebn54fHjx9jzJgx39yfSCRCamoqDA0NkZaWJrfXIdDSgm1VG7RpVRvt2tSBh3t1lDHQlT6enpGNa9ef4+LlJ7hyLRjJyeky70NXZADHxo1Qw6MpKtetBb5AIH0sJT4Rz28UnG56E/gQ4txcubwuQgghRBXI8v3N6ZEbLS0tODs7Y+nSpdJljDH4+vrCzc2t2Oe4ublhzZo1hZZdunQJXbt2LXZ9bW1t6OjoSH8WiUTFrvejho7rhq1rBoDH+/+ytDw+3qZqIyxNG9EZFZBf2RIOI9vCYaR89hkT8kra0ES/UM4s4YQQQoiq47S5MTY2hlAoRHx8fKHl8fHxqFatWrHPMTMzK3Z9MzOzYtefOXMm5s+fL5e8X/PoaWRBlgw+3qQI8fqjEAlZfPz/4NiPH0nJzxcj8nEwnl2/jRc37+JTXPy3n0QIIYSUMpyPuVG0pUuXFjrSIxKJEBMj+xiXbwm6FgBzswFISPgk920TQgghpOQ4bW6SkpIgFothampaaLmpqSni4uKKfU5cXJxM6+fm5iJXSeNPqLEhhBBCuMfp3FJ5eXl48OABPD09pct4PB48PT3h5+dX7HP8/PwKrQ8ArVu3/uL6hBBCCCl9GJfl7e3NsrKy2MCBA1m1atXY1q1bWXJyMjMxMWEA2L59+9jvv/8uXd/NzY3l5uayyZMnM0dHRzZv3jyWk5PDatSoUaL9iUQixhhjIpGI09dNRUVFRUVFVfKS8fub+8Djxo1jERERLDs7m/n7+7OGDRtKH7t+/Trbs2dPofV79uzJXr58ybKzs1lwcDBr3769ot4cKioqKioqKhUoWb6/Ob/PjbIp6j43hBBCCFEcWb6/OR1zQwghhBAib9TcEEIIIUSjUHNDCCGEEI1CzQ0hhBBCNAo1N4QQQgjRKNTcEEIIIUSjUHNDCCGEEI1CzQ0hhBBCNAo1N4QQQgjRKJzOCs4lkUjEdQRCCCGElJAs39ulrrn5/ObExMRwnIQQQgghshKJRN+cfqHUzS0FAJUqVZLrvFIikQgxMTGwsLDQyPmq6PWpP01/jfT61J+mv0Z6ffLbz/v377+5Xqk7cgOgRG/M90hLS9PIv7Sf0etTf5r+Gun1qT9Nf430+n58+yVBA4oJIYQQolGouSGEEEKIRqHmRg5ycnIwf/585OTkcB1FIej1qT9Nf430+tSfpr9Gen3KVSoHFBNCCCFEc9GRG0IIIYRoFGpuCCGEEKJRqLkhhBBCiEah5oYQQgghGoWamx80duxYhIeHIysrC/7+/nBxceE60neZMWMGAgMDkZqaivj4eJw8eRJVq1YttM7169fBGCtUW7Zs4Six7ObNm1ckf0hIiPRxHR0dbNy4EUlJSUhLS8Px48dhYmLCYWLZhIeHF3l9jDFs3LgRgPp9fs2aNcOZM2cQExMDxhi6dOlSZJ0FCxbg/fv3yMzMxJUrV2Bvb1/o8XLlyuHgwYNISUnBx48fsXPnThgYGCjrJXzT116jUCjEsmXL8PTpU6SnpyMmJgb79u2Dubl5oW0U97lPnz5d2S+lWN/6DPfs2VMk+4ULFwqto8qf4bdeX3H/HhljmDp1qnQdVf78SvK9UJLfm1ZWVjh79iwyMjIQHx+PFStWQCAQKDQ7NTc/wNvbG2vWrMGCBQtQv359PHnyBJcuXULFihW5jiYzd3d3bNq0CY0aNULr1q2hpaWFy5cvQ19fv9B627dvh5mZmbSmTZvGUeLv8+zZs0L5mzZtKn1s7dq18PLyQq9eveDu7o5KlSrh77//5jCtbFxcXAq9tlatWgEA/vrrL+k66vT5GRgY4MmTJxg3blyxj0+bNg2//PILRo8eDVdXV2RkZODSpUvQ0dGRrnPo0CHUqFEDrVu3RqdOndC8eXNs375dWS/hm772GvX19VG/fn0sWrQI9evXR/fu3eHo6IgzZ84UWXfu3LmFPtcNGzYoI/43feszBIALFy4Uyt63b99Cj6vyZ/it1/fv12VmZoYhQ4ZAIpHgxIkThdZT1c+vJN8L3/q9yefzce7cOWhra6Nx48YYNGgQBg8ejIULFyo8P6P6vvL392cbNmyQ/szj8Vh0dDSbPn0659l+tIyNjRljjDVr1ky67Pr162zt2rWcZ/vemjdvHnv06FGxjxkaGrKcnBzWo0cP6TJHR0fGGGOurq6cZ/+eWrt2LXv9+rVGfH6MMdalS5dCy96/f8+mTJlS6DPMyspivXv3ZgBYtWrVGGOMOTs7S9dp27Yty8/PZ+bm5py/ppK8xv9WgwYNGGOMWVlZSZeFh4ezCRMmcJ7/e17fnj172MmTJ7/4HHX6DEvy+Z08eZL5+voWWqYunx9Q9HuhJL8327Vrx8RiMTMxMZGuM2rUKPbp0yempaWlsKx05OY7aWlpwdnZGb6+vtJljDH4+vrCzc2Nw2TyYWRkBABITk4utLx///5ITExEcHAwfv/9d+jp6XER77s5ODggJiYGYWFhOHjwIKysrAAAzs7O0NbWLvR5hoaGIjIyUi0/Ty0tLfz000/YvXt3oeXq/vl9ZmtrC3Nz80KfV2pqKgICAqSfl5ubGz5+/IgHDx5I1/H19YVEIoGrq6vSM8uDkZERJBIJPn36VGj5jBkzkJSUhIcPH2Lq1KkKP+QvTx4eHoiPj8fLly+xefNmlC9fXvqYJn2GJiYm6NixI3bt2lXkMXX5/P77vVCS35tubm4IDg5GQkKCdJ1Lly7ByMgINWrUUFjWUjlxpjwYGxtDKBQiPj6+0PL4+HhUq1aNo1TywePx8Mcff+DOnTt4/vy5dPnhw4cRGRmJ9+/fo3bt2li+fDkcHR3Ro0cPDtOWXEBAAAYPHozQ0FCYm5tj3rx5uH37NmrWrAkzMzPk5OQgJSWl0HPi4+NhZmbGUeLv17VrV5QtWxZ79+6VLlP3z+/fPn8mxf37+/yYmZlZoV+oAJCfn4/k5GS1/Ex1dHSwfPlyHDlypNDkgevXr8fDhw+RnJyMxo0bY+nSpTA3N8eUKVM4TFsyFy9exN9//43w8HDY2dnh999/x4ULF+Dm5gaJRKJRn+GgQYOQlpZW5FS3unx+xX0vlOT3ppmZWbH/Tj8/pijU3JAiNm3ahJo1axYajwIAO3bskP752bNniI2NxbVr11ClShW8fftW2TFldvHiRemfg4ODERAQgMjISHh7eyMrK4vDZPI3bNgwXLhwAbGxsdJl6v75lWZCoRDHjh0Dj8fDmDFjCj22du1a6Z+Dg4ORm5uLbdu2YebMmcjNzVV2VJkcPXpU+udnz57h6dOnePv2LTw8PHDt2jUOk8nf0KFDcejQoSLTE6jL5/el7wVVRaelvlNSUhLEYjFMTU0LLTc1NUVcXBxHqX7chg0b0KlTJ7Ro0QIxMTFfXTcgIAAAilyhoi5SUlLw6tUr2NvbIy4uDjo6OtLDrp+p4+dpbW2NVq1aYefOnV9dT50/v8+fydf+/cXFxRW5akMgEKB8+fJq9Zl+bmxsbGzQunXrQkdtihMQEAAtLS1UrlxZOQHlKDw8HImJidK/k5ryGTZt2hTVqlX75r9JQDU/vy99L5Tk92ZcXFyx/04/P6Yo1Nx8p7y8PDx48ACenp7SZTweD56envDz8+Mw2ffbsGEDunXrhpYtWyIiIuKb69etWxcACh0dUCcGBgaws7NDbGwsHjx4gNzc3EKfZ9WqVWFjY6N2n+eQIUOQkJCAc+fOfXU9df78wsPDERsbW+jzEolEcHV1lX5efn5+KFeuHOrXry9dp2XLluDz+dLGTtV9bmwcHBzQqlWrImPgilO3bl3k5+cXOZ2jDiwsLFChQgXp30lN+AyBgiOpQUFBePr06TfXVbXP72vfCyX5venn54datWoVuoq4devWSElJwYsXLxSanfMR2Opa3t7eLCsriw0cOJBVq1aNbd26lSUnJxcaFa4utWnTJvbx40fWvHlzZmpqKi1dXV0GgFWpUoXNmTOH1a9fn9nY2DAvLy/25s0bduPGDc6zl7RWrlzJmjdvzmxsbJibmxu7fPkyS0hIYMbGxgwA27x5M4uIiGAeHh6sfv367O7du+zu3buc55aleDwei4iIYEuXLi20XB0/PwMDA1anTh1Wp04dxhhjEydOZHXq1JFeKTRt2jSWnJzMvLy8WM2aNdnJkydZWFgY09HRkW7j/Pnz7MGDB8zFxYU1btyYhYaGskOHDnH+2kryGoVCITt16hR79+4dq127dqF/l5+vMmnUqBGbMGECq127NrO1tWX9+vVj8fHxbO/evZy/tm+9PgMDA7ZixQrm6urKbGxsWMuWLVlQUBALDQ1l2traavEZfuvvKAAmEolYeno6GzVqVJHnq/rn963vBeDbvzf5fD57+vQpu3jxIqtduzZr06YNi4+PZ0uWLFF0fu7fQHWucePGsYiICJadnc38/f1Zw4YNOc/0PfUlgwYNYgCYpaUlu3HjBktKSmJZWVns1atXbPny5UwkEnGevaR15MgRFhMTw7Kzs1lUVBQ7cuQIq1KlivRxHR0dtnHjRvbhwweWnp7OTpw4wUxNTTnPLUu1bt2aMcaYg4NDoeXq+Pm5u7sX+3dyz5490nUWLFjAYmNjWVZWFrty5UqR112uXDl26NAhlpqayj59+sR27drFDAwMOH9tJXmNNjY2X/x36e7uzgCwevXqMT8/P/bx40eWmZnJnj9/zmbMmFGoOVDV16erq8suXrzI4uPjWU5ODgsPD2fbtm0r8p9DVf4MS/J3dMSIESwjI4MZGhoWeb6qf35f8vl7ASjZ701ra2t27tw5lpGRwRISEtjKlSuZQCBQaHbeP38ghBBCCNEINOaGEEIIIRqFmhtCCCGEaBRqbgghhBCiUai5IYQQQohGoeaGEEIIIRqFmhtCCCGEaBRqbgghhBCiUai5IYQQQohGoeaGEKISwsPDMWHCBIVtnzGGLl26KGz7xVH0ayKEFI+aG0LId9uzZw8YY5g+fXqh5V26dAFjst383MXFBdu3b5dnPEJIKUXNDSHkh2RlZWH69OkoW7bsD20nKSkJWVlZ8glFCCnVqLkhhPwQX19fxMXFYebMmV9dr3v37nj27Bmys7MRHh6OyZMnF3r8v6dw5s2bh8jISGRnZyMmJgbr1q2TPqatrY2VK1ciOjoa6enp8Pf3h7u7u0y5LS0tcfToUXz8+BEfPnzAqVOnYGNjAwBo3bo1srKyYGRkVOg5f/zxB65evSr9uUmTJrh16xYyMzPx7t07rFu3Dvr6+jLlIITIHzU3hJAfkp+fj1mzZmH8+PGwsLAodp369evj2LFj+PPPP1GrVi3Mnz8fixYtwqBBg4pdv0ePHpg0aRJGjRoFBwcHdO3aFcHBwdLHN27cCDc3N/Tp0we1a9fGX3/9hYsXL8Le3r5EmYVCIS5duoS0tDQ0a9YMTZo0QXp6Oi5evAgtLS1cvXoVnz59Qo8ePaTP4fP56N27Nw4dOgQAqFKlCi5evIgTJ06gdu3a6N27N5o2bYqNGzeW9K0jhCgQ59OqU1FRqWft2bOHnTx5kgFg9+7dYzt37mQAWJcuXRgrGHTDALCDBw+yS5cuFXru8uXL2bNnz6Q/h4eHswkTJjAAbNKkSezly5dMKBQW2aeVlRXLy8tj5ubmhZZfuXKFLVmy5ItZGWOsS5cuDADr378/CwkJKfS4lpYWy8jIYK1bt2YA2Nq1a5mvr6/08datW7OsrCxmZGTEALAdO3awrVu3FtpGkyZNmFgsZjo6OkVeExUVlfKKjtwQQuRi+vTpGDRoEKpVq1bkMScnJ9y9e7fQsrt378LBwQF8ftFfQ3/99Rf09PTw9u1bbN++HV27doVAIAAA1KpVC0KhEK9evUJaWpq03N3dYWdnV6KsderUgb29faHnJycnQ1dXV7qNQ4cOwcPDA+bm5gCA/v3749y5c0hJSZFuY/DgwYW2cenSJQgEAtja2pb8jSOEyJ2Q6wCEEM1w+/ZtXLp0CUuXLsXevXt/aFvR0dFwdHREq1at0Lp1a2zevBm//vor3N3dUaZMGYjFYjg7OyM/P7/Q89LT00u0/TJlyuDBgwfo379/kccSExMBAEFBQQgLC0OfPn2wZcsWdOvWDYMHDy60jW3btmH9+vVFtvHu3TsZXi0hRN6ouSGEyM2MGTPw+PFjhIaGFloeEhKCJk2aFFrWpEkTvHr1ChKJpNhtZWdn4+zZszh79iw2bdqE0NBQ1KpVC48ePYJQKISJiQnu3LnzXTkfPnyI3r17IyEhAWlpaV9c79ChQ+jfvz+io6MhkUhw7ty5QtuoXr06wsLCvisDIUSxOD83RkVFpZ717zE3n2vfvn0sMzOz0JibevXqMbFYzObMmcMcHBzYwIEDWUZGBhs0aJB0nX+PTxk0aBAbOnQoq1GjBrO1tWULFy5kGRkZrHz58gwAO3DgAHv79i3r1q0bq1y5MnNxcWEzZsxgHTp0+GLWf4+50dPTY6GhoezatWusadOmrHLlyszd3Z2tW7eOWVhYSJ9jZ2fHGGPs8ePHbMeOHYW2V6tWLZaRkcE2bNjA6tSpw+zt7Vnnzp3Zhg0bin1NVFRUSi3OA1BRUalpFdfc2NjYsOzs7ELNDQDWvXt39uzZM5aTk8MiIiLYlClTCj3+70agS5cuzM/Pj3369ImlpaWxe/fusZYtW0rXFQqFbP78+ezt27csJyeHxcTEsBMnTrCaNWt+Meu/mxsAzNTUlO3du5clJCSwrKws9ubNG7Zt2zYmEokKPc/f358xxpiHh0eRbTZo0IBdunSJpaamsrS0NPb48WM2c+bMYl8TFRWV8or3zx8IIYQQQjQCXS1FCCGEEI1CzQ0hhBBCNAo1N4QQQgjRKNTcEEIIIUSjUHNDCCGEEI1CzQ0hhBBCNAo1N4QQQgjRKNTcEEIIIUSjUHNDCCGEEI1CzQ0hhBBCNAo1N4QQQgjRKP8DSU2DjFysGAgAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(sig,D0, label=\"no motion\")\n",
"plt.plot(sig,D1, label =\"motion\")\n",
"plt.xlabel(\"Noise level\")\n",
"plt.ylabel(\"% motion decisions\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"Our **hypothesis** of linear increase of illusion strength with noise only holds true in a limited range of noise... It's monotonic but saturating of course..."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"**And regarding our original question**: it is really the noise that pushes the integrated signal over the threshold. The less leaky the integration and the lower the threshold, the more motion decisions we get..."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Summary\n",
"*Part of Step 10*\n",
"\n",
"Let's write a simple abstract following the guidelines...\n",
"\n",
"**A. What is the phenomena**? Here summarize the part of the phenomena which your modeling addresses.\n",
"\n",
"_The \"train illusion\" occurs when sitting in a stationary train and experiencing relative visual motion of an adjacent train outside the window; sometimes we feel like we're moving even if we're not (and vice versa). Previous literature has suggested that vestibular signals are used to disambiguate self-motion from motion of an adjacent object._\n",
"\n",
"**B. What is the key scientific question?**: Clearly articulate the question which your modeling tries to answer.\n",
"\n",
"_How noisy vestibular estimates of motion lead to illusory percepts of self motion is currently unknown._\n",
"\n",
"**C. What was our hypothesis?**: Explain the key relationships which we relied on to simulate the phenomena.\n",
"\n",
"_We hypothesized that noisy vestibular signals are integrated leading the brain to decide whether self-motion is occurring or not, and that larger noise is linearly associated with more frequent errors in self-motion judgment._\n",
"\n",
"**D. How did your modeling work?** Give an overview of the model, it's main components, and how the modeling works. ''Here we ... ''\n",
"\n",
"_To investigate this hypothesis, we constructed a drift diffusion model and simulated self-motion decisions under varying noise conditions, when true self motion was occurring or not._\n",
"\n",
"**E. What did you find? Did the modeling work?** Explain the key outcomes of your modeling evaluation.\n",
"\n",
"_We observed that higher noise did indeed lead to more frequent errors in self-motion perception but this relationship was not linear._\n",
"\n",
"**F. What can you conclude?** Conclude as much as you can _with reference to the hypothesis_, within the limits of the modeling.\n",
"\n",
"_We conclude that accumulated noisy vestibular information can explain the occurrence of the train illusion, and the higher the noise (or the lower the signal-to-noise ratio), the more frequently such illusions will occur._\n",
"\n",
"**G. What are the limitations and future directions?** What is left to be learned? Briefly argue the plausibility of the approach and/or what you think is essential that may have been left out.\n",
"\n",
"_Future research should investigate whether trial-by-trial variations of noisy vestibular signals actually correlate with self-motion judgments._\n",
"\n",
">If we put this all in one paragraph, we have our final complete abstract. But, first, do not include the letters in _your_ abstract, and second, we did paraphrase the answers a little so they fit together.\n",
"\n",
"## Abstract\n",
"(A) The \"train illusion\" occurs when sitting in a stationary train and experiencing relative visual motion of an adjacent train outside the window; sometimes we feel like we're moving even if we're not (and vice versa). Previous literature has suggested that vestibular signals are used to disambiguate self-motion from motion of an adjacent object. (B) How noisy vestibular estimates of motion lead to illusory percepts of self motion is currently unknown. (C) We hypothesized that noisy vestibular signals are integrated leading the brain to decide whether self-motion is occurring or not, and that larger noise is linearly associated with more frequent errors in self-motion judgment. (D) To investigate this hypothesis, we constructed a drift diffusion model and simulated self-motion decisions under varying noise conditions, when true self motion was occurring or not. (E) We observed that higher noise did indeed lead to more frequent errors in self-motion perception but this relationship was not linear. (F) We conclude that accumulated noisy vestibular information can explain the occurrence of the train illusion, and the higher the noise (or the lower the signal-to-noise ratio), the more frequently such illusions will occur. (G) Future research should investigate whether trial-by-trial variations of noisy vestibular signals actually correlate with self-motion judgments."
]
},
{
"cell_type": "markdown",
"metadata": {
"execution": {}
},
"source": [
"----\n",
"# Final thoughts\n",
"\n",
"Note that the model we built here was extremely simple and used artificial data on purpose. It allowed us to go through all the steps of building a model, and hopefully you noticed that it is not always a linear process, you will go back to different steps if you hit a roadblock somewhere.\n",
"\n",
"There are many issues that we did not address in this model. However, if you're interested in how to actually approach modeling a similar phenomenon in a probabilistic way, we encourage you to read the paper by [Dokka et. al., 2019](https://doi.org/10.1073/pnas.1820373116), where the authors model how judgments of heading direction are influenced by objects that are also moving."
]
}
],
"metadata": {
"colab": {
"collapsed_sections": [],
"include_colab_link": true,
"name": "TrainIllusionModel",
"provenance": [],
"toc_visible": true
},
"kernel": {
"display_name": "Python 3",
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